# 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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