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# Gamma!

$\large \gamma = \int_0^1 \left( \dfrac n{1-x^n} - \dfrac1{1-x} \right) \sum_{k=1}^\infty x^{n^k - 1} \, dx$

Prove that the equation holds true for constant $$n$$.

Notation: $$\gamma$$ denote the Euler-Mascheroni constant.

This is a part of the set Formidable Series and Integrals

Note by Hummus A
1 year, 2 months ago