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Mathematics
Mariusz Iwaniuk's user avatar
Mariusz Iwaniuk's user avatar
Mariusz Iwaniuk's user avatar
Mariusz Iwaniuk
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I am a engineer and math hobbyist

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22
Integral for the New Year $2019$!
Dec 31, 2018
19
Does anyone know what is this number?
Apr 17
15
Show that $\int\limits_0^1 \left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{\left(x^{x}\right)^{⋰}}}}\ \mathrm{d}x=\frac{\pi^2}{12}$.
Feb 8, 2020
13
Evaluating $\sum_{i=1}^{\infty}\frac{i}{2^i-1}$
Sep 2, 2023
9
Partial sums of the series $\sum\limits_{k\geq1}\frac{1}{\sqrt{2k+\sqrt{4k^2-1}}}$
Jul 22, 2018
8
How to compute $\int_{0}^{1}x\sin (bx) J_0\!\!\left(a\sqrt{1-x^2}\right)\!\mathrm dx$?
Feb 23, 2018
8
Closed form for $\int_{0}^{\infty }\!{\rm erf} \left(cx\right) \left( {\rm erf} \left(x \right) \right) ^{2}{{\rm e}^{-{x}^{2}}}\,{\rm d}x$
Feb 4, 2017
8
The series $\sum_{n=0}^\infty \frac{(-\beta)^n}{n!}\Gamma\left(\frac{n+1}{2},\alpha\right)$
Sep 13, 2018
7
Integral $\int_{-\infty}^\infty \frac{x^2}{(\cosh x)^\alpha} dx$ for $\alpha>0$
Sep 18, 2022
7
Exact expression of a trigonometric integral
Mar 22, 2020
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27
Is it possible to get this 'nicer' solution for an integral from Mathematica?
17
2016 Putnam B6 difficult summation problem
12
How to use Mathematica to simplify this kind of trig sum?
12
Inverse Laplace transform
12
Definite integral closed-form expression