8. Integration by Trigonometric Substitution

by M. Bourne

In this section, we see how to integrate expressions like

math expression

We substitute the following to simplify the expressions to be integrated:

math expression


Example 1: math expression


Answer


How are you going??

math expression Don't give up!!


Example 2: math expression.


First, the LiveMath solution to this problem:

LIVEMath


Answer

Exercises

Integrate each of the given functions:

1. math expression


Answer


2. math expression


Answer


3. math expression


Answer




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