int(0)^(pi//2)(dx)/(1+a^(2)sin^(2)x) has...

`int_(0)^(pi//2)(dx)/(1+a^(2)sin^(2)x)` has the value

A

`(pi)/(2sqrt(1+a^(2)))`

B

`(pi)/(sqrt(1+a^(2)))`

C

`(2pi)/(sqrt(1+a^(2)))`

D

none of these

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