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Let f(x) be a non-negative continuous fu...

Let f(x) be a non-negative continuous function such that the area bounded by the curve y=f(x), x-axis and the ordinates `x=pi/4` and `x=beta gt pi/4` is :
`(beta sin beta + pi/4 cos beta +sqrt2beta)` .
Then `f(pi/2)` is :

A

`pi/2-sqrt2+1`

B

`pi/2+sqrt2-1`

C

`1-pi/4 +sqrt2`

D

`1-pi/4 -sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
C
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