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Let $$F : R \rightarrow R$$ be a thrice differentiable function. Suppose that F(1) = 0, F(3) = -4 and $$F'(x) < 0$$ for all x \in $$(\frac{1}{2} , 3)$$. Let $$f(x) = xF(x)$$ for all $$x \in R$$.
Question 60
If $$\int_{1}^{3}x^2 F'(x)dx = -12$$ and $$\int_{1}^{3}x^3 F"(x)dx = 40,$$ then the correct expression(s) is(are)
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