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:

1. Find the antiderivative


2. Plug in the top number to the antiderivative


3. Plug in the bottom number to the antiderivative


4. 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

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