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int(dx)/(x^2+2xcos alpha+1)=...

`int(dx)/(x^2+2xcos alpha+1)=`

A

`(1)/(sin alpha)tan^(-1)((x+cos alpha)/(sin alpha))+c`

B

`(1)/(sin alpha)cot^(-1)((x+cos alpha)/(sin alpha))+c`

C

`(1)/(cos alpha)tan^(-1)((x+cos alpha)/(sin alpha))+c`

D

`(1)/(cos alpha)cot^(-1)((x+cos alpha)/(sin alpha))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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