Evaluating Indefinite Integrals

Objective: Learn how to Master the Basic Technique of Integration

The Two Basic Skills

1. The ability to notice that a certain integral fits a known formula, and so it is “ready” to be evaluated. 2. The ability to notice that a certain integral can be made “ready” to be evaluated, by using some algebraic, trigonometric or other type of manipulation.

Skill No. 1 Recognize that a certain integral fits a known formula

Examples

Example (1)

Example (2)

Example (3)

Example (4)

Example (5)

Example (6)

Skill No. 2 Recognize that a certain integral can be made to fit a known formula

Examples

Example (1)

Example (2)

Example (3)

Question Evaluate the following Integral

Answer