# Trigonometric Substitutions - PowerPoint PPT Presentation

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Trigonometric Substitutions. A topic you should see before you leave me…. Why?. Allows you to evaluate integrals involving Oh you meant why am I making you do this? It is part of the curriculum for all Calc II classes in college…. How?. Using right triangles…. How?.

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Trigonometric Substitutions

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## Trigonometric Substitutions

A topic you should see before you leave me…

### Why?

• Allows you to evaluate integrals involving

• Oh you meant why am I making you do this? It is part of the curriculum for all Calc II classes in college…

### How?

• Using right triangles…

### How?

• Using right triangles…

### How?

• Using right triangles…

### Procedure

• Write down the substitution for x, calculate dx, and specify the selected values of for the substitution.

• Make the substitution into the integrand and simplify algebraically.

• Integrate the trig integral keeping in mind the restrictions on the angle .

• Draw an appropriate reference triangle to reverse the substitution in the integration result and convert back to the original variable x.