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),` the x-axis, and the ordinates
`x=pi/4 `and `x=beta>pi/4` is `betasinbeta+pi/4cosbeta+sqrt(2)betadot` Then `f(pi/2)` is

A

(a) `1-pi/4+sqrt(2)`

B

(b) `1-pi/4-sqrt(2)`

C

(c) `pi/4-sqrt(2)+1`

D

(d) `pi/4+sqrt(2)-1`

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The correct Answer is:

A

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