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Home  /  Calculus for the AP® Course (4e)  /  Chapter 4 · The Integral
Section 4.4

The Indefinite Integral; Substitution

Indefinite integrals (antiderivatives), the substitution method for both indefinite and definite integrals, change of variables.

13 lessons. Pick what you need.

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Chapter 4 · The Integral
Lesson

Lesson on Using The Substitution Method for Indefinite Integrals

Lesson

Lesson on How to Use the Substitution Method to Evaluate Certain Trig Integrals

Examples

Examples of Basic Substitution and Indefinite Integrals

Examples

Examples of Substitution for Indefinite Integrals, Medium Difficulty

Examples

Examples: Substitution for Indefinite Integrals, Difficult!

Lesson

Lesson on Substitution with Definite Integrals

Examples

Examples of Substitution with Definite Integrals

Step-by-step example

Examples of Substitution with Definite Integrals with Tricky Algebra

Step-by-step example

Examples of Substitution with Definite Integrals with Tricky Trig

Lesson

Lesson on Symmetric Functions and Definite Integrals

Lesson

Lesson on The Logarithm Defined as an Integral

Examples

Examples of Integration Problems with Logarithms and Exponentials

Examples

Examples of Initial Value Problems with Logarithms and Exponentials