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/4a n dx=beta>pi/4i sbetasinbeta+pi/4cosbeta+sqrt(2)betadot` Then `f^(prime)(pi/2)` is `(pi/2-sqrt(2)-1)` (b) `(pi/4+sqrt(2)-1)` `-pi/2` (d) `(1-pi/4-sqrt(2))`

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

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

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

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

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