# Integration Problem

Calculus Level 2

$\large \int_0^2 x \sqrt{2x+3} \, dx$

The value of the integral above is equal to $$\dfrac1A (B\sqrt B + C \sqrt C )$$, where $$A,B$$ and $$C$$ are positive integers with $$B,C$$ square-free. Find $$A+B+C$$.

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