# Fractional Integral - 2

Calculus Level 5

$\large \int_0^1 \int_0^1 \left \{ \dfrac {x^3}y \right \} \, dx \: dy = \dfrac AB - \dfrac \gamma C$

If the equation above holds true for positive integers $A$, $B$ and $C$, with $A$, $B$ coprime, find $A+B+C$.

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