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int(x^(2)tan^(-1)(x^(3)))/(1+x^(6))dx...

`int(x^(2)tan^(-1)(x^(3)))/(1+x^(6))dx`

A

`tan^(-1) (x^3)+c`

B

`(1)/(6) ( tan^(-1)x^3 )^2 +C `

C

`-(1)/(2) ( tan^(-1) x^3 )^2 +C`

D

`1/2 (tan^(-1) x^2 )^3 +c`

Text Solution

Verified by Experts

The correct Answer is:
B
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