# What is comma doing here?

Calculus Level 5

$\large \int _{ 0 }^{ \infty }{ \frac { { x }^{ 3 } }{ { e }^{ 2x }-{ e }^{ 3x } } dx }$

If the value of the integral above is equal to

$-\dfrac{\pi^A}B + \dfrac CD$

where $$A,B,C$$ and $$D$$ are positive integers with $$C,D$$ coprime, find $$A+B+C+D$$.

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