Let \( f(x) \) be a continuous function such that the area
bounded by the curve \( v=f(x) \), th.... VIDEO
Let \( f(x) \) be a continuous function such that the area
\( \mathrm{P} \)
bounded by the curve \( v=f(x) \), the \( x \)-axis and the
W
two ordinates \( x=0 \) and \( x=a \) is \( \frac{a^{2}}{2}+\frac{a}{2} \sin a+\frac{\pi}{2} \cos \) \( a \), then \( f(\pi / 2) \) is
(1) \( \frac{1}{2} \)
(2) \( \frac{\pi^{2}}{8}+\frac{\pi}{4} \)
(3) \( \frac{\pi+1}{2} \)
(4) None of these
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