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int1/(1+cos^(2)x)dx=...

`int1/(1+cos^(2)x)dx=`

A

(a) `1/sqrt(2)tan^(-1)(tanx)+c`

B

(b) `1/sqrt(2)tan^(-1)(1/2tanx)+c`

C

(c) `1/sqrt(2)tan^(-1)(1/sqrt(2)tanx)+c`

D

(d) `sqrt(2)tan^(-1)(1/sqrt(2)tanx)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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