Integrate number 1

Calculus Level 4

\[ \int_0^1 5^x (3x^2+5x+4) \, dx = \dfrac A{(\ln 5)^3} + \dfrac B{(\ln 5)^2 } + \dfrac C{\ln 5} \]

If \(A,B\) and \(C\) are integers satisfying the equation above, find \(A+B+C\).

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