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Evaluate: int1/(sqrt(t a n^(-1)x)(1+x^2)...

Evaluate: `int1/(sqrt(t a n^(-1)x)(1+x^2))dx`

A

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

B

`2sqrt(tan^(-1)x)+C`

C

`(1)/(2sqrt(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`.
`:." "I=int(1)/(sqrt(t))dt=2sqrt(t)+C`.
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