A calculus problem by Vikram Singh

Calculus Level pending

Given Polynomial function f(x),g(x) meet A ~ C three conditions :

(A) f(x)g(x) = \(x^{3}+3x^{2}-x-3\)

(B) \({f}'(x) = 1\)

(C) \(g(x) = 2\int_{1}^{x}f(t) dt\) ,

Find \(\int_{0}^{3}3g(x)\)dx .

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