After completing this section, students should be able to do the following.

- Use Pythagorean identities to simplify expressions.
- Substitute trigonometric functions to simplify integrals.
- Complete the square to change the form of an integral.

After completing this section, students should be able to do the following.

- Use Pythagorean identities to simplify expressions.
- Substitute trigonometric functions to simplify integrals.
- Complete the square to change the form of an integral.