CalculusWithJuliaNotes.jl/html/integrals/area.html

69 lines
1.2 MiB
HTML
Raw Normal View History

2022-06-07 22:01:21 +02:00
<!DOCTYPE html>
<html lang="en">
<head>
<meta name="viewport" content="width=device-width" />
<meta charset="utf-8" />
<!-- [automatically generated meta tags can be inserted here] -->
<meta name="theme-color" media="(prefers-color-scheme: light)" content="white">
<meta name="theme-color" media="(prefers-color-scheme: dark)" content="#2a2928">
<meta name="color-scheme" content="light dark">
<link rel="icon" type="image/png" sizes="16x16" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/img/favicon-16x16.png" />
<link rel="icon" type="image/png" sizes="32x32" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/img/favicon-32x32.png" />
<link rel="icon" type="image/png" sizes="96x96" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/img/favicon-96x96.png" />
<link rel="pluto-logo-big" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/img/logo.svg" />
<link rel="pluto-logo-small" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/img/favicon_unsaturated.svg" />
<script defer>
console.log(
"Pluto.jl, by Fons van der Plas (https://github.com/fonsp), Mikołaj Bochenski (https://github.com/malyvsen), Michiel Dral (https://github.com/dralletje) and friends 🌈"
)
</script>
<script src="https://cdn.jsdelivr.net/npm/lodash@4.17.20/lodash.min.js" defer></script>
<script src="https://cdn.jsdelivr.net/npm/@observablehq/stdlib@3.3.1/dist/stdlib.js" defer></script>
<script src="https://cdn.jsdelivr.net/npm/iframe-resizer@4.2.11/js/iframeResizer.min.js" defer></script>
<script src="https://cdn.jsdelivr.net/npm/ansi_up@5.0.1/ansi_up.min.js" defer></script>
<!-- This doesn't do anything unless activated, and it makes sure parcel bundles this -->
<script id="iframe-resizer-content-window-script" src="https://cdn.jsdelivr.net/npm/iframe-resizer@4.2.11/js/iframeResizer.contentWindow.min.js" crossorigin="anonymous" defer></script>
<link rel="stylesheet" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/editor.css" type="text/css" />
<link rel="stylesheet" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/hide-ui.css" type="text/css" media="all" data-pluto-file="hide-ui" />
<link rel="stylesheet" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/binder.css" type="text/css" />
<link rel="stylesheet" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/treeview.css" type="text/css" />
<link rel="preload" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/juliamono.css" as="style" />
<link rel="preload" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/vollkorn.css" as="style" />
<link rel="stylesheet" href="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/highlightjs.css" type="text/css">
<script data-pluto-file="launch-parameters">
window.pluto_notebook_id = undefined;
window.pluto_isolated_cell_ids = undefined;
window.pluto_notebookfile = "data:text/julia;charset=utf-8;base64,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
window.pluto_disable_ui = true;
window.pluto_slider_server_url = undefined;
window.pluto_binder_url = "https://mybinder.org/v2/gh/fonsp/pluto-on-binder/v0.19.5";
window.pluto_statefile = "data:;base64,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
window.pluto_preamble_html = undefined;
</script>
<!-- [automatically generated launch parameters can be inserted here] -->
<script src="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/editor.js" type="module" defer></script>
<script src="https://cdn.jsdelivr.net/gh/fonsp/Pluto.jl@0.19.5/frontend/warn_old_browsers.js"></script>
<!-- This script will be enabled by JS after the notebook has initialized to prevent taking up bandwidth during the initial load. -->
<script type="text/javascript" id="MathJax-script" not-the-src-yet="https://cdn.jsdelivr.net/npm/mathjax@3.1.2/es5/tex-svg-full.js" async></script>
</head>
<body class="loading no-MαθJax">
<div style="display: flex; min-height: 100vh;">
<pluto-editor class="fullscreen"></pluto-editor>
</div>
</body>
</html>