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Evaluate the following integrals: intx...

Evaluate the following integrals:
`intxsin^(3)xcosxdx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(4)xsin^(4)x-(3)/(32)x+(1)/(16)sin2x-(1)/(128)sin4x+C`
Take `(Sin^(3)xcosx)" as 2nd function. Its integral is "(1)/(4)sin^(4)x`.
Further, use `sin^(4)x=((1-cos2x)/(2))^(2)`.
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