Question

If f : [0, ∞) → $\R$ and g : [0, ∞) → [0, ∞) are continuous functions such that
$\int^{x^3+x^2}_0f(t)dt=x^2$ and $\int_0^{g(x)}t^2dt=9(x+1)^3$ for all x ∈ [0, ∞),
then the value of
f(2) + g(2) + 16 f(12)
is equal to _________. (Rounded off to two decimal places)

Answer 1

The correct answer is : 13.39 to 13.41.(approx)