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Tuesday, August 20, 2013

Integration - Trigonometric Functions, 7

Category: Integral Calculus, Trigonometry

"Published in Newark, California, USA"

Evaluate


Solution:

Consider the given equation above


Since the given equation above cannot be integrated by simple integration, then we have to use first the trigonometric identities as follows





But





Hence, the above equation becomes







The first term of the equation above can be integrated by integration of powers while the second term can be integrated by integration of trigonometric functions as follows









Therefore,



Note: If you are integrating trigonometric functions and trigonometric equations, you must memorize or remember trigonometric identities and formulas as much as you can because you will use those later or else it will be hard for you to integrate trigonometric functions and trigonometric equations.