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Intuition for Second Part of Fundamental Theorem of Calculus - AP Calculus AB - Khan Academy

Khan Academy via YouTube

Overview

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Gain intuition into the second part of the fundamental theorem of calculus in this 12-minute video lesson. Explore how to calculate definite integrals using antiderivatives and understand the relationship between F(b) - F(a) and the definite integral of a function f from a to b. Learn why this theorem is true and its significance in calculus. Part of Khan Academy's AP Calculus AB series, this video provides a clear explanation of this crucial concept, helping students master the fundamental theorem of calculus and its applications in integration.

Syllabus

Intro
Derivative of position
Area of rectangles
Area under the curve
Exact change in position
Evaluating definite integral
General notation

Taught by

Khan Academy

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