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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

1

B

`(pi)/4`

C

`1000`

D

`(pi)/2`

Text Solution

Verified by Experts

The correct Answer is:
B
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