Single Variable Calculus

Session 51: The Second Fundamental Theorem of Calculus

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Overview

We can use definite integrals to create a new type of function – one in which the variable is the upper limit of integration! The second fundamental theorem of calculus tells us, roughly, that the derivative of such a function equals the integrand.

Lecture Video and Notes

Video Excerpts

Clip 1: Second Fundamental Theorem of Calculus

Clip 2: Using the Second Fundamental Theorem of Calculus

Recitation Video

Applying the Second Fundamental Theorem

Second Fundamental Theorem and Chain Rule

Second Fundamental Theorem and Quadratic Approximation

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