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Evaluate the definite integrals int0p...

Evaluate the definite integrals `int0pi/2cos^2x""""dx`

A

`(pi)/(2)`

B

`pi`

C

`(pi)/(4)`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
C
`I=(1)/(2)int_(0)^(pi//2)2cos^(2)xdx=(1)/(2)int_(0)^(pi//2)(1+cos2x)=(1)/(2)[x+(sin2x)/(2)]_(0)^(pi//2)=(pi)/(4)`.
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