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Evaluate: int(e^tan^((-1)x))/(1+x^2)\ dx...

Evaluate: `int(e^tan^((-1)x))/(1+x^2)\ dx`

A

`(e^(tan^(-1)x))/(x)+C`

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Put `tan^(-1)x=t and(1)/((1+x^(2)))dx=dt`.
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