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 $x = \frac{π}{4} and x = β > \frac{π}{4} is β sin β + \frac{π}{4} cos β + 2 β .$ Then $f^{'} (\frac{π}{2})$ is

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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 = \frac{π}{4} and x = β > \frac{π}{4} is β sin β + \frac{π}{4} cos β + 2 β .

Then

f^{'} (\frac{π}{2})

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Question Text

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 = \frac{π}{4} and x = β > \frac{π}{4} is β sin β + \frac{π}{4} cos β + 2 β .

Then

f^{'} (\frac{π}{2})

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