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If alpha, beta are natural numbers, then...

If `alpha, beta` are natural numbers, then `int_(0)^(pi//2)cos^(alpha)x cos beta x dx` equals, provided `alpha=beta`

A

`(pi)/(2^(alpha+1))`

B

`(pi)/(2^(alpha))`

C

`(pi)/(2^(alpha-1))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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