3 videos in "Trig Substitution"
Integrating with Special Substitutions
Integrating with Special Substitutions
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Part of video series Integrating with Special Substitutions
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Created by and copyright of Larry Perez. Funded by the state of California through Saddleback College. More information on videos, resources, and lessons at Algebra2Go.
Rational functions with sine and cosines: Karl Weierstrass method.
- What are special substitutions in integration?
- How do you take the integral of rational functions with sine and cosine?
- What is the Karl Weierstrass method?
- What is trig substitution?
The Karl Weierstrass method is explained, the procedure is outlined, and special substitutions are used in order to integrate some rational functions with sine and cosine in them. The double angle formulas are used to derive the substitutions for trig formulas. The substitution for tangent is also shown.


