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  1. What is the strategy for evaluating trigonometric integral in given form?

∫cosm⁡xsinnx
a. when m-is even number and n-is odd number.
b. when both, and are odd number.


  1.  What is the strategy for integration or what kinds of substitutions are recommended
    when certain radicals appear:

±x2±a2 
Please consider all 3 options: 

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.a) The strategy for evaluating the expression when m is even and n is odd, is to factor out sinx then replace sinn−1⁡x=(1−cosn−1⁡x), then use u-substitution

This question is taken from Math 266 – Cal/Analytic Geometry 2 » Spring 2022 » Discussion