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int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000...

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

A

1)1000

B

2)1

C

3)`(pi)/(2)`

D

4)`(pi)/(4)`

Text Solution

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The correct Answer is:
D
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