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int x Tan^(-1) x dx=...

`int x Tan^(-1) x dx=`

A

`x^(2) tan^(-1)(x^(2)) + (1)/(2) log (1 + x^(4)) +c`

B

`(1)/(2) [x^(2) tan^(-1)(x^(2)) - log (1 +x^(4))] + c`

C

`x^(2) tan^(-1) (x^(2)) - (1)/(2) log (1 + x^(4)) + c `

D

`(1)/(2) [x^(2) tan^(-1) (x^(2)) - (1)/(2) log (1 + x^(4))] + c `

Text Solution

Verified by Experts

The correct Answer is:
D
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