{"id":1678,"date":"2026-06-16T20:40:34","date_gmt":"2026-06-16T13:40:34","guid":{"rendered":"https:\/\/people.usd.ac.id\/~ydkristanto\/?page_id=1678"},"modified":"2026-06-17T22:13:57","modified_gmt":"2026-06-17T15:13:57","slug":"fundamental-theorem-of-calculus","status":"publish","type":"page","link":"https:\/\/people.usd.ac.id\/~ydkristanto\/index.php\/learning-resources\/fundamental-theorem-of-calculus\/","title":{"rendered":"The Fundamental Theorem of Calculus"},"content":{"rendered":"\n
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Have you ever wondered why integration and differentiation are often described as inverse operations? The Fundamental Theorem of Calculus reveals the connection between them. It links two major branches of calculus: integral calculus and differential calculus. In this interactive learning activity, you’ll investigate this connection and build your understanding step by step. Ready to explore? Let’s go!<\/p>\n\n\n\n

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Modeling Area<\/h3>\n\n\n\n

In Visualization 1-1<\/a>, you’ll investigate the area between the graph of a function and the x<\/em>-axis. Start by setting the left endpoint (Start), then move the right endpoint (End) back and forth. As you do, pay close attention to what happens in Visualizations 1-2<\/a> and 1-3<\/a>.<\/p>\n\n\n\n

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Visualization 1-1<\/figcaption>\n<\/figure>\n<\/div>\n\n\n\n
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Visualization 1-2<\/figcaption>\n<\/figure>\n<\/div>\n\n\n\n
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Visualization 1-3<\/figcaption>\n<\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n

Use the questions below to guide your exploration.<\/p>\n\n\n\n