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int x^(2) sin^(2) x dx =...

`int x^(2) sin^(2) ` x dx =

A

`(1)/(6) x^(3) + (1)/(2) [ (x^(2)sin 2x)/(2) + (xcos2x)/(2) - (sin2x)/(2) ] + c `

B

`(1)/(6) x^(3) - (1)/(2) [- (x^(2)sin 2x)/(2) - (xcos2x)/(2) + (sin2x)/(2) ] + c `

C

`-(1)/(6) x^(3) + (1)/(2) [ (x^(2)sin 2x)/(2) + (xcos2x)/(2) - (sin2x)/(2) ] + c `

D

`(1)/(6) x^(3) - (1)/(2) [ (x^(2)sin 2x)/(2) + (xcos2x)/(2) - (sin2x)/(2) ] + c `

Text Solution

Verified by Experts

The correct Answer is:
D
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