Let f:R+→R be a differentiable function satisfying f(x)=e+(1−x)ln( – InterviewSolution

1.	Let f:R+→R be a differentiable function satisfying f(x)=e+(1−x)ln(xe)+x∫1f(t) dt ∀ x∈R+. If the area enclosed by the curve g(x)=x(f(x)−ex) lying in the fourth quadrant is A, then the value of A−2 is
Answer» Let $f : R^{+} \to R$ be a differentiable function satisfying $f (x) = e + (1 - x) ln (\frac{x}{e}) + x \int 1 f (t) d t \forall x \in R^{+}$ . If the area enclosed by the curve $g (x) = x (f (x) - e^{x})$ lying in the fourth quadrant is $A$ , then the value of $A^{- 2}$ is

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