# Pretty Nice Integral

Calculus Level 5

$\displaystyle \int_{0}^{\infty} \dfrac{x^{5}\mathrm{d}x}{e^{5x} -1} = \dfrac{1}{a^{b}}\zeta(c)\Gamma(c)\\$

With $$a,b,c$$ are positive integers with prime number $$a$$, find $$\dfrac{5}{6}abc^2$$

$$\text{ Details and Assumptions }$$
1.)$$\zeta(x)$$ is the Riemann Zeta Function
2.)$$\Gamma(x)$$ is the Gamma Function

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