### 12.4 Integration of Trigonometric Functions

**Finding the Antiderivatives of Trigonometric Functions**

Finding the antiderivatives of Trigonometric functions is quite simple. For such problems, you must use (and memorize) the following Integration Formulas:

Some problems may require other formulas such as the following, but you will not be required to memorize them.

Also, if you come across a problem that looks like this:

- Find the antiderivative
- Plug in the top number to the antiderivative
- Plug in the bottom number to the antiderivative
- Use your answers from steps two and three and find the difference

**Example Problem **

**Question**

Evaluate the following integral.

** **

**Solution**

**Step One:** Find the antiderivative.

**Step Two:** Plug in the the top number to the antiderivative.

**Step Three:** Plug in the bottom number to the antiderivative.

**Step Four:** Find the difference.

**Helpful Websites**

http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/trigintdirectory/TrigInt.html

http://people.hofstra.edu/faculty/Stefan_Waner/trig/trig4.html

**Brian you are up next! **

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**-Susan B. Anthony**

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