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How do you find the integral of #(sin^3(x/2))(cos(x/2))#?

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sruthi bhamidipati · Monzur R.

Jan 22, 2018

#intsin^3(x/2)cos(x/2)dx=sin^4(x/2)/2#

Explanation:

Let #sin(x/2)=t#

Then #1/2cos(x/2)dx=dt#

And #2*int t^3 dt=t^ 4 * 2/4=sin^4( x/2)/2#

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