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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

Trigonometric Substitutions

A topic you should see before you leave me…

slide2
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…
slide3
How?
  • Using right triangles…
slide4
How?
  • Using right triangles…
slide5
How?
  • Using right triangles…
procedure
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.
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