{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# Całki oznaczone",
   "id": "92cab236adf78e04"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "```{admonition} Wskazówka\n",
    ":class: tip\n",
    "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/DyonOylloug/generator_zadan/HEAD?labpath=docs%2Fcalki_oznaczone.ipynb) <- interaktywna sesja notebooka\n",
    "\n",
    "```"
   ],
   "id": "877429608c13718d"
  },
  {
   "metadata": {},
   "cell_type": "code",
   "source": [
    "from random import choice\n",
    "\n",
    "from IPython.display import display, Markdown, Latex\n",
    "\n",
    "import generator_zadan.generatory as gz\n",
    "\n",
    "print(gz.__version__)"
   ],
   "id": "68dc4a5c41e72ec",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2.2\n"
     ]
    }
   ],
   "execution_count": 1
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Pole obszaru",
   "id": "b356a6e4d7d22059"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-25T07:41:05.148589Z",
     "start_time": "2024-09-25T07:41:05.144368Z"
    }
   },
   "cell_type": "code",
   "source": "ile_zadan_przykladowych = 10",
   "id": "b4b842205e1e9f37",
   "outputs": [],
   "execution_count": 2
  },
  {
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-09-25T07:41:06.060735Z",
     "start_time": "2024-09-25T07:41:05.518712Z"
    }
   },
   "cell_type": "code",
   "source": [
    "zadanie = gz.pole_obszaru(typ=choice([1, 2, 3, 4, 5]))\n",
    "zadanie"
   ],
   "id": "initial_id",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('Obliczyć pole obszaru ograniczonego wykresami krzywych\\n\\t\\\\[\\n\\t\\t f(x) = - \\\\frac{3}{4 x} \\\\quad \\\\textnormal{ oraz } \\\\quad g(x) = \\\\frac{x^{2}}{2} + \\\\frac{9 x}{4} + \\\\frac{5}{2} \\n\\t\\\\]\\n',\n",
       " 'Pole obszaru to $\\\\int\\\\limits_{-3}^{-1}\\\\left(- \\\\frac{x^{2}}{2} - \\\\frac{9 x}{4} - \\\\frac{5}{2} - \\\\frac{3}{4 x}\\\\right)\\\\,dx + \\\\int\\\\limits_{-1}^{-1/2}\\\\left(\\\\frac{x^{2}}{2} + \\\\frac{9 x}{4} + \\\\frac{5}{2} + \\\\frac{3}{4 x}\\\\right)\\\\,dx =  - \\\\frac{3 \\\\ln{\\\\left(2 \\\\right)}}{4} + \\\\frac{7}{32} + \\\\frac{3 \\\\ln{\\\\left(3 \\\\right)}}{4}$')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 3
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-25T07:41:06.173315Z",
     "start_time": "2024-09-25T07:41:06.167859Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "cell_type": "code",
   "source": [
    "print(\"\\033[34m** Zadanie **\" + '*' * 81 + '\\033[0m')\n",
    "print(zadanie[0])\n",
    "print(\"\\033[34m*\\033[0m\" * 95)\n",
    "print(\"\\033[32m** Rozwiązanie **\" + '*' * 78 + '\\033[0m')\n",
    "print(zadanie[1])\n",
    "print(\"\\033[32m*\\033[0m\" * 95)"
   ],
   "id": "6e5b4e8629a2c5f6",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m** Zadanie ***********************************************************************************\u001B[0m\n",
      "Obliczyć pole obszaru ograniczonego wykresami krzywych\n",
      "\t\\[\n",
      "\t\t f(x) = - \\frac{3}{4 x} \\quad \\textnormal{ oraz } \\quad g(x) = \\frac{x^{2}}{2} + \\frac{9 x}{4} + \\frac{5}{2} \n",
      "\t\\]\n",
      "\n",
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n",
      "Pole obszaru to $\\int\\limits_{-3}^{-1}\\left(- \\frac{x^{2}}{2} - \\frac{9 x}{4} - \\frac{5}{2} - \\frac{3}{4 x}\\right)\\,dx + \\int\\limits_{-1}^{-1/2}\\left(\\frac{x^{2}}{2} + \\frac{9 x}{4} + \\frac{5}{2} + \\frac{3}{4 x}\\right)\\,dx =  - \\frac{3 \\ln{\\left(2 \\right)}}{4} + \\frac{7}{32} + \\frac{3 \\ln{\\left(3 \\right)}}{4}$\n",
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n"
     ]
    }
   ],
   "execution_count": 4
  },
  {
   "metadata": {
    "tags": [
     "hide-input"
    ],
    "ExecuteTime": {
     "end_time": "2024-09-25T07:45:58.935390Z",
     "start_time": "2024-09-25T07:45:58.928767Z"
    }
   },
   "cell_type": "code",
   "source": "Latex('')  # Funkcja Latex musi być użyta przynajmniej raz by dobrze generować $$ w Markdown - to jest bug",
   "id": "935ccd5d3d4086ed",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ],
      "text/latex": ""
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-25T07:42:02.171289Z",
     "start_time": "2024-09-25T07:41:06.433866Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "cell_type": "code",
   "source": [
    "for i in range(1, ile_zadan_przykladowych + 1):\n",
    "    zadanie = gz.pole_obszaru(typ=choice([1, 2, 3, 4, 5]))\n",
    "    print(f\"\\033[34m** Zadanie {i} **\" + '*' * 80 + '\\033[0m')\n",
    "    display(Markdown(zadanie[0].replace('\\\\[', '$$').replace('\\\\]', '$$')))\n",
    "    print(\"\\033[34m*\\033[0m\" * 95)\n",
    "    print(\"\\033[32m** Rozwiązanie **\" + '*' * 78 + '\\033[0m')\n",
    "    display(Markdown(zadanie[1].replace('$', '$$').replace('\\,', '')))\n",
    "    print(\"\\033[32m*\\033[0m\" * 95)"
   ],
   "id": "94b0c44d3210562d",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m** Zadanie 1 **********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Obliczyć pole obszaru ograniczonego wykresami krzywych\n\t$$\n\t\t f(x) = x^{2} - 2 x \\quad \\textnormal{ oraz } \\quad g(x) = 2 x + 5 \n\t$$\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Pole obszaru to $$\\int\\limits_{-1}^{5}\\left(- x^{2} + 4 x + 5\\right)dx =  36$$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n",
      "\u001B[34m** Zadanie 2 **********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Obliczyć pole obszaru ograniczonego wykresami krzywych\n\t$$\n\t\t f(x) = 2 x^{2} - 2 \\quad \\textnormal{ oraz } \\quad g(x) = - x^{2} + 3 x + 4 \n\t$$\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Pole obszaru to $$\\int\\limits_{-1}^{2}\\left(- 3 x^{2} + 3 x + 6\\right)dx =  \\frac{27}{2}$$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n",
      "\u001B[34m** Zadanie 3 **********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Obliczyć pole obszaru ograniczonego wykresami krzywych\n\t$$\n\t\t f(x) = 4 x + 1 \\quad \\textnormal{ oraz } \\quad g(x) = x^{3} - 3 x^{2} + 3 x + 4 \n\t$$\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Pole obszaru to $$\\int\\limits_{-1}^{1}\\left(x^{3} - 3 x^{2} - x + 3\\right)dx + \\int\\limits_{1}^{3}\\left(- x^{3} + 3 x^{2} + x - 3\\right)dx =  8$$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n",
      "\u001B[34m** Zadanie 4 **********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Obliczyć pole obszaru ograniczonego wykresami krzywych\n\t$$\n\t\t f(x) = - x^{2} - x - 2 \\quad \\textnormal{ oraz } \\quad g(x) = 2 x - 2 \n\t$$\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Pole obszaru to $$\\int\\limits_{-3}^{0}\\left(- x^{2} - 3 x\\right)dx =  \\frac{9}{2}$$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n",
      "\u001B[34m** Zadanie 5 **********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Obliczyć pole obszaru ograniczonego wykresami krzywych\n\t$$\n\t\t f(x) = - \\frac{1}{x} \\quad \\textnormal{ oraz } \\quad g(x) = - x^{2} + \\frac{7 x}{2} - \\frac{7}{2} \n\t$$\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Pole obszaru to $$\\int\\limits_{1/2}^{1}\\left(x^{2} - \\frac{7 x}{2} + \\frac{7}{2} - \\frac{1}{x}\\right)dx + \\int\\limits_{1}^{2}\\left(- x^{2} + \\frac{7 x}{2} - \\frac{7}{2} + \\frac{1}{x}\\right)dx =  \\frac{7}{48}$$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n",
      "\u001B[34m** Zadanie 6 **********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Obliczyć pole obszaru ograniczonego wykresami krzywych\n\t$$\n\t\t f(x) = 2 x^{2} + 4 x + 5 \\quad \\textnormal{ oraz } \\quad g(x) = 1 - 2 x \n\t$$\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Pole obszaru to $$\\int\\limits_{-2}^{-1}\\left(- 2 x^{2} - 6 x - 4\\right)dx =  \\frac{1}{3}$$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n",
      "\u001B[34m** Zadanie 7 **********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Obliczyć pole obszaru ograniczonego wykresami krzywych\n\t$$\n\t\t f(x) = - \\frac{4}{x} \\quad \\textnormal{ oraz } \\quad g(x) = 4 x^{2} - 6 x - 6 \n\t$$\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Pole obszaru to $$\\int\\limits_{1/2}^{2}\\left(- 4 x^{2} + 6 x + 6 - \\frac{4}{x}\\right)dx =  \\frac{39}{4} - 8 \\ln{\\left(2 \\right)}$$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n",
      "\u001B[34m** Zadanie 8 **********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Obliczyć pole obszaru ograniczonego wykresami krzywych\n\t$$\n\t\t f(x) = - 2 x^{2} - 3 x - 1 \\quad \\textnormal{ oraz } \\quad g(x) = x - 1 \n\t$$\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Pole obszaru to $$\\int\\limits_{-2}^{0}\\left(- 2 x^{2} - 4 x\\right)dx =  \\frac{8}{3}$$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n",
      "\u001B[34m** Zadanie 9 **********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Obliczyć pole obszaru ograniczonego wykresami krzywych\n\t$$\n\t\t f(x) = \\frac{3}{2 x} \\quad \\textnormal{ oraz } \\quad g(x) = - x^{2} - \\frac{9 x}{2} - 5 \n\t$$\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Pole obszaru to $$\\int\\limits_{-3}^{-1}\\left(- x^{2} - \\frac{9 x}{2} - 5 - \\frac{3}{2 x}\\right)dx + \\int\\limits_{-1}^{-1/2}\\left(x^{2} + \\frac{9 x}{2} + 5 + \\frac{3}{2 x}\\right)dx =  - \\frac{3 \\ln{\\left(2 \\right)}}{2} + \\frac{7}{16} + \\frac{3 \\ln{\\left(3 \\right)}}{2}$$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n",
      "\u001B[34m** Zadanie 10 **********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Obliczyć pole obszaru ograniczonego wykresami krzywych\n\t$$\n\t\t f(x) = \\frac{1}{2 x} \\quad \\textnormal{ oraz } \\quad g(x) = - 3 x^{2} - \\frac{11 x}{2} - 3 \n\t$$\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\u001B[34m*\u001B[0m\n",
      "\u001B[32m** Rozwiązanie ********************************************************************************\u001B[0m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ],
      "text/markdown": "Pole obszaru to $$\\int\\limits_{-1}^{-1/2}\\left(- 3 x^{2} - \\frac{11 x}{2} - 3 - \\frac{1}{2 x}\\right)dx + \\int\\limits_{-1/2}^{-1/3}\\left(3 x^{2} + \\frac{11 x}{2} + 3 + \\frac{1}{2 x}\\right)dx =  - \\frac{\\ln{\\left(3 \\right)}}{2} - \\frac{23}{216} + \\ln{\\left(2 \\right)}$$"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\u001B[32m*\u001B[0m\n"
     ]
    }
   ],
   "execution_count": 6
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-25T07:42:02.205568Z",
     "start_time": "2024-09-25T07:42:02.201571Z"
    }
   },
   "cell_type": "code",
   "source": "",
   "id": "912b3450033d046c",
   "outputs": [],
   "execution_count": null
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}