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int (e^(x) (x^(2) tan^(-1) x + tan^(-1) ...

`int (e^(x) (x^(2) tan^(-1) x + tan^(-1) x + 1))/( x^(2) + 1) dx ` is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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