Let f be a non-negative continuous funct...

Let f be a non-negative continuous function such that the area bounded by the curve `y = f(x)`, x-axis and the coordinates x = 3:`sqrt2` and x = `beta > pi/4` is `(beta sin beta + pi/4 cos beta + sqrt2 beta). then f(pi/2)` is:

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

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

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

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

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