# "Feel the bern" integral

Calculus Level 5

$\int_{0}^{1} \int_{0}^{1} \int_{0}^{1} \int_{0}^{1} \int_{0}^{1} \int_{0}^{1} \dfrac{db \, de_{1} \, dr \, dn \, di \, de_{2} }{1- be_{1}rnie_{2} }$

If the above thing can be expressed in the form $$\dfrac{a \pi^{b}}{c}$$, with $$a, c$$ as coprime positive integers, find $$a+b+c$$.

Details and assumptions:

There's no $$e \approx 2.71828...$$ or $$i = \sqrt{-1}$$. The $$b, e_{1}, r, n, i, e_{2}$$ are all variables.

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