### INTEGRATION OF TRIGONOMETRIC INTEGRALS

Recall the definitions of the trigonometric functions.

The following indefinite integrals involve all of these well-known trigonometric functions. Some of the following trigonometry identities may be needed.

• A.)
• B.)
• C.) so that
• D.) so that
• E.)
• F.) so that
• G.) so that

It is assumed that you are familiar with the following rules of differentiation.

These lead directly to the following indefinite integrals.

• 1.)
• 2.)
• 3.)
• 4.)
• 5.)
• 6.)

The next four indefinite integrals result from trig identities and u-substitution.

• 7.)
• 8.)
• 9.)
• 10.)

We will assume knowledge of the following well-known, basic indefinite integral formulas :

• , where is a constant
• , where is a constant

Most of the following problems are average. A few are challenging. Many use the method of u-substitution. Make careful and precise use of the differential notation and and be careful when arithmetically and algebraically simplifying expressions.