Let f(x) be a continuous function such that the area bounded by the curve y = f(x), x-axis and the lines x = 0 and x = a is \[\frac{{{a}^{2}}}{2}+\frac{a}{2}\sin a+\frac{\pi }{2}\cos a\], then \[f\left( \frac{\pi }{2} \right)=\]

Let f(x) be a continuous function such that the area bounded by the cu

1.	Let f(x) be a continuous function such that the area bounded by the curve y = f(x), x-axis and the lines x = 0 and x = a is \[\frac{{{a}^{2}}}{2}+\frac{a}{2}\sin a+\frac{\pi }{2}\cos a\], then \[f\left( \frac{\pi }{2} \right)=\]
A.	1
B.	\[\frac{1}{2}\]
C.	\[\frac{1}{3}\]
D.	None of these
Answer» C. \[\frac{1}{3}\]

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Let f(x) be a continuous function such that the area bounded by the curve y = f(x), x-axis and the lines x = 0 and x = a is \[\frac{{{a}^{2}}}{2}+\frac{a}{2}\sin a+\frac{\pi }{2}\cos a\], then \[f\left( \frac{\pi }{2} \right)=\]

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