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intsin^(-1)(3x-4x^(3))dx=?...

`intsin^(-1)(3x-4x^(3))dx=?`

A

`3[xsin^(-1)x+sqrt(1-x^(2))]+C`

B

`3[xsin^(-1)x-sqrt(1-x^(2))]+C`

C

`(3x^(2))/(2)+C`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Put `x=sint anddx=costdt`.
`:." "I=intsin^(-1)(sin3t)costdt=3intunderset(I)(t)underset(II)(cos)tdt`.
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