Trigonometric Substitutions

Trigonometric Substitutions
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Taught by Houston

Meets NCTM Standards:

Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
Sine, tangent, and secant substitutions.
  • What is trig substitution?
  • What is sine substitution?
  • What is the integral of the square root of 1 - x^2?
  • How do you take the integral of the square root of 4 - x^2 / x?
  • What is tangent substitution?
  • How do you use secant substitution?
This video explains how and why trigonometric substitution works. You will see the right triangle trigonometry that helps you remember how it all works. Then, some really great examples are shown depicting trig substitution. There is a really helpful summary at the end of the video that explains when to use each substitution, when you have a^2 - u^2, a^2 + u^2, or u^2 - a^2.
  • Currently 4.0/5 Stars.
Reviewed by MathVids Staff on December 20, 2008.
 
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