Section 5.4
Fundamental Theorem of Calculus
Both parts of the Fundamental Theorem of Calculus, derivatives of integrals defined as functions, and applications to evaluating definite integrals.
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