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 $x = \frac{π}{4} a n d x = β > \frac{π}{4} i s β sin β + \frac{π}{4} cos β + 2 β ˙$ Then $f^{p r i m e} (\frac{π}{2})$ is $(\frac{π}{2} - 2 - 1)$ (b) $(\frac{π}{4} + 2 - 1)$ $- \frac{π}{2}$ (d) $(1 - \frac{π}{4} - 2)$

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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} a n d x = β > \frac{π}{4} i s β sin β + \frac{π}{4} cos β + 2 β ˙

Then

f^{p r i m e} (\frac{π}{2})

(\frac{π}{2} - 2 - 1)

(b)

(\frac{π}{4} + 2 - 1)

- \frac{π}{2}

(d)

(1 - \frac{π}{4} - 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} a n d x = β > \frac{π}{4} i s β sin β + \frac{π}{4} cos β + 2 β ˙

Then

f^{p r i m e} (\frac{π}{2})

(\frac{π}{2} - 2 - 1)

(b)

(\frac{π}{4} + 2 - 1)

- \frac{π}{2}

(d)

(1 - \frac{π}{4} - 2)

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