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Trigonometric Substitution

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The following diagram shows how to use trigonometric substitution involving sine, cosine, or tangent. Scroll down the page for more examples and solutions on the use of trigonometric substitution.
Trigonometric Substitution

Trigonometric Substitution - Example 1
Just a basic trigonometric substitution problem. I show the basic substitutions along with how to use the right triangle to get back to the original variable.

Trigonometric Substitution - Example 2
A complete example integrating an indefinite integral using a trigonometric substitution involving tangent.
Trigonometric Substitution - Example 3 / Part 1
A harder example of using a trig sub is shown! First, you have to complete the square! Trigonometric Substitution - Example 3 / Part 2

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