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

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>pi/4` is :
`{betasinbeta+pi/4cosbeta+sqrt2beta}`, then `f(pi/2)` is:

A

`(1 - pi/4 - sqrt2)`

B

`(1 - pi/4 + sqrt2)`

C

`(pi/4 + sqrt2 - 1)`

D

`(pi/4 - sqrt2 +1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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