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Activity Overview

In this activity, students will graphically investigate the Fundamental Theorem of Calculus and properties of definite integrals. Self-check questions engage students and deepen understanding of the topic. Multiple choice exam-like questions are also included.

Key Steps

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    Students begin this activity by studying a graphical demonstration of the area under a curve and the derivative. Students will be able to see what happens as h becomes infinitesimally smaller.

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    Next, students will explore definite integrals. They will explore integrals between symmetric limits for both odd and even functions. Students will also explore other integral properties.

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    Finally, students are given several multiple-choice questions to solve.