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If y=x^(2)sin(x^(3)), then int ydx will ...

If `y=x^(2)sin(x^(3))`, then `int ydx` will be :

A

`-cos(x^(3))+C`

B

`(-cos.(x^(3))/(3))+C`

C

`cos(x^(3))+C`

D

`((cos x^(3))/(3))+C`

Text Solution

Verified by Experts

The correct Answer is:
B
`y=x_(2) sin x_(3)`
`int x^(2) sin x^(3) dx` let `u=x_(3) rArr du = 3x_(2) dx`
`int(sin xdx)/(3)=(1)/(3)(-cosx)+C=-(1)/(3) cosx_(3) +C`.
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