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intx^(3)cosx^(2)dx=?...

`intx^(3)cosx^(2)dx=?`

A

`x^(2)sinx^(2)+cosx^(2)+C`

B

`(1)/(2)x^(2)sinx^(2)+(1)/(2)cosx^(2)+C`

C

`-(1)/(2)x^(2)sinx^(2)+(1)/(2)cosx^(2)+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Put `x^(2)=t," so that x "dx=(1)/(2)dt`.
`:." "I=int(1)/(2)tcosdt=(1)/(2)intunderset(I)(t)underset(II)(cost)`.
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