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# Integrals!

$\large \int_0^\infty \dfrac{x e^{-11x}}{\sqrt{e^{2x} -1}} \, dx = - \dfrac{10!!}{11!!} \left( \ln 2 + \sum_{n=1}^{11} \dfrac{(-1)^n}n \right)$

Prove the equation above.

Clarification: $$!!$$ denotes the double factorial notation.

Note by Hummus A
7 months ago

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$$\frac { 10! }{ 11! } =\frac { 1 }{ 11 }$$ · 7 months ago

it was supposed to be a double factorial · 7 months ago

Nowhere double factorial notation is used . hahaha · 7 months ago