Evaluate: int0^(pi//2)1/((a^2cos^2x+b^2s...

Evaluate: `int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x))dx`
(a) `piab` (b) `pi^(2)ab` (c) `(pi)/(ab)` (d) `(pi)/(2ab)`

A

(a) `piab`

B

(b) `pi^(2)ab`

C

(c) `(pi)/(ab)`

D

(d) `(pi)/(2ab)`

Verified by Experts

The correct Answer is:

D

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