int(0)^((pi)/2)(sin^(1000)x dx)/(sin^(10...

`int_(0)^((pi)/2)(sin^(1000)x dx)/(sin^(1000)x+cos^(1000)x)` is equal to

A

(a) `1`

B

(b) `(pi)/4`

C

(c) `1000`

D

(d) `(pi)/2`

Verified by Experts

The correct Answer is:

B

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