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Evaluate : int0^(pi/2)cos^3xdx...

Evaluate : `int_0^(pi/2)cos^3xdx`

A

`1`

B

`(3)/(4)`

C

`(2)/(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`I=int_(0)^(pi//2)cos^(2)x*cosxdx=int_(0)^(pi//2)(1-sin^(2)x)cosxdx=int_(0)^(1)(1-t^(2))dt`, where `sinx=t`.
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