Log Rule for Integration

Example 1 – Using the Log Rule for Integration

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

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

Example 8 – Using a Trigonometric Identity Find

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

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

Example 7 – Integrating Exponential Functions Find the indefinite integral.

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

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