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int (dx)/(a+bcosx) = 1/(sqrt(a^(2)-b^(2)...

`int (dx)/(a+bcosx) = 1/(sqrt(a^(2)-b^(2)) ) cos^(-1) [(b + a cos x)/(a +b cos x)] then int_0^(pi) (dx)/(a+b cosx) =`

A

`1/(sqrt(a^(2)-b^(2))`

B

`2/(sqrt(a^(2)-b^(2))`

C

`pi/(sqrt(a^(2)-b^(2))`

D

`(-1)/(sqrt(a^(2)-b^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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