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

geduiwelh

geduiwelh

Answered question

2021-02-21

Evaluate the integral using the indicated substitution.
cos2xsinxdx, u=cosx

Answer & Explanation

Layton

Layton

Skilled2021-02-22Added 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
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-05Added 2605 answers

Answer is given below (on video)

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