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Trigonometric SubstitutionsPowerPoint Presentation

Trigonometric Substitutions

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Trigonometric Substitutions

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Trigonometric Substitutions

A topic you should see before you leave me…

- 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…

- Using right triangles…

- Using right triangles…

- Using right triangles…

- 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.