# Master it!

Calculus Level 5

$\large \int_0^\infty \dfrac{\gamma x + \ln [\Gamma(1 + x)]}{x^{9/4}} \, dx = \dfrac{A\sqrt B \pi}C \zeta \left( \dfrac DE \right)$

The equation above holds true for positive integers $$A,B,C,D$$ and $$E$$, with $$A,C$$ and $$D,E$$ coprime pairs, and $$B$$ square-free.

Evaluate $$A+B+C+D+E$$.

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