Section 4.3
The Fundamental Theorem of Calculus
FTC Part 1 (the integral as an antiderivative function) and Part 2 (evaluation theorem); both parts as the central bridge between differentiation and integration.
10 lessons. Pick what you need.
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Lesson
Lesson on the Fundamental Theorem of Calculus Part 1
Examples
Examples of the Fundamental Theorem of Calculus part 1, Integrate then Differentiate
Examples
Examples of The Fundamental Theorem of Calculus part 1, Taking the Derivative of an Integral
Step-by-step example
Example of Fundamental Theorem of Calculus part 1, Differentiating an Integral with the Product Rule
Lesson
Lesson on The Fundamental Theorem of Calculus Part 2
Examples
Examples of Evaluating Definite Integrals with Tricky Trig Problems
Examples
Examples of Evaluating Tricky Definite Integrals with No Trig
Examples
Example of Comparing Three Ways to Compute a Definite Integral
Summary