Let f(x) be a non-negative continuous function such that the area boun – InterviewSolution

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1.	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=π4 and x=β>π4 is (βsinβ+π4cosβ+√2β). Then f(π2) is:
Answer» 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 $x = \frac{π}{4}$ and $x = β > \frac{π}{4}$ is $(β sin β + \frac{π}{4} cos β + \sqrt{2} β) .$ Then $f (\frac{π}{2})$ is:

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