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

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1.	Let f(x) be a continuous function such that the area bounded by the curve `y=f(x),` the x-axis, and the lines `x=0` and `x=a is 1+(a^(2))/(2)sin` a. Then,A. `((pi)/(2))=1+(pi^(2))/(8)`B. `f(a)=1+(a^(2))/(2)sina`C. `f(a)=asina+1/2cosa`D. none of these
Answer» Correct Answer - c It is given that `underset(0)overset(a)(int)f(x)dx=1+(a^(2))/(2)sina` Differentiationg this with respect to a, we get `f(a)=a sina+(a^(2))/(2)cosa`

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