Evaluate the integral. \int \cos^{2}x\sin 2xdx

Bevan Mcdonald

Bevan Mcdonald

Answered question

2021-11-09

Evaluate the integral.
cos2xsin2xdx

Answer & Explanation

Demi-Leigh Barrera

Demi-Leigh Barrera

Skilled2021-11-10Added 97 answers

Step 1
Given :
cos2xsin2xdx
Step 2
We have to evaluate given integral.
cos2xsin2xdx
put u=cos2x
du=sin2xdx
dx=dusin2x
=udu
=udu
=u1+11+1+C
=u22+C
put ucos2x
=(cos2x)22+C
=12cos4x+C
cos2(x)sin(2x)dx=12cos4(x)+C

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