\[\displaystyle\int_0^{\infty} \dfrac{x^6}{e^{7x}-1} \ dx\]

If the above integral has a closed form of \(\dfrac{\Gamma{(a) } \zeta{(b) }} {a^c} \), find \(2a+b+c\).

**Details and Assumptions**:

- \(a, b, c, \) are all positive integers and they may or may not be different.

×

Problem Loading...

Note Loading...

Set Loading...