1. Log Rule for Integration

2. Example 1 – Using the Log Rule for Integration

3. Example 5 – Using Long Division Before Integrating
Find the indefinite integral.

4. Example 7 – u-Substitution and the Log Rule
Solve the differential equation

5. Example 8 – Using a Trigonometric Identity
Find

6. Integrals of Trigonometric Functions
The integrals of the six basic trigonometric functions are summarized below.

7. Integrals of Exponential Functions
Each differentiation formula in Theorem 5.11 has a corresponding integration formula.

8. Example 7 – Integrating Exponential Functions
Find the indefinite integral.

9. Differentiation and Integration
Occasionally, an integrand involves an exponential function to a base other than e.

10. Example 4 – Integrating an Exponential Function to Another Base
Find ∫2xdx.