{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "view-in-github",
    "colab_type": "text"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/ebatty/MathToolsforNeuroscience/blob/jupyterbook/Week4/Video42.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "aHrUgy400Wv3"
   },
   "source": [
    "# Video 4.2: Review of Differentiation & Integration"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "64IBGIMm0Wv6"
   },
   "source": [
    "## Video"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "cellView": "form",
    "id": "ve_t1MZi0Wv7",
    "outputId": "485c2fb0-3fe8-44ac-b129-492c2691ec3a",
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 469
    },
    "tags": [
     "remove-input"
    ]
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Video available at https://youtube.com/watch?v=uQjwr9RQaEs\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x7f6578259590>"
      ],
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"730\"\n",
       "            height=\"410\"\n",
       "            src=\"https://www.youtube.com/embed/uQjwr9RQaEs?fs=1\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "image/jpeg": 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\n"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "source": [
    "# @markdown\n",
    "from IPython.display import YouTubeVideo\n",
    "from ipywidgets import widgets\n",
    "out = widgets.Output()\n",
    "with out:\n",
    "    display(YouTubeVideo(id=f\"uQjwr9RQaEs\", width=730, height=410, fs=1))\n",
    "display(out)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.13 ('mathtools')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.13"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "2f26a17d6a9624f855b5f9e02ffdc0ae71c8577a2562f495dada4b6f29d8bdd3"
   }
  },
  "colab": {
   "provenance": [],
   "collapsed_sections": [],
   "include_colab_link": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}