Evaluate the integral using the indicated substitution. \int\cos^{2}x \sin xdx,\ u=\cos x

geduiwelh 2021-02-21 Answered
Evaluate the integral using the indicated substitution.
cos2xsinxdx, u=cosx
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Expert Answer

Layton
Answered 2021-02-22 Author has 89 answers
Step 1
Consider the integrals,
cos2xsinxdx...(1)
Let, u=cosx
du=sinxdx
Step 2
Substitute all value in equation (1) then,
cos2xsinxdx=u2(du)
=u2du
=u33+C
Substitute back, u=cosx
cos2xsinxdx=13cos3x+C
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Jeffrey Jordon
Answered 2021-11-05 Author has 2064 answers

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