# New post in Closed-form

August 1st, 2022

July 26th, 2020

## Find the closed form of $\sum_{n=1}^{\infty} \frac{H_{ n}}{2^nn^4}$

December 12th, 2020

August 1st, 2022

## Arithmetic-geometric mean of 3 numbers

September 24th, 2020

## Integral $\int_0^\infty\frac{\ln\left(\sqrt{x+1\vphantom{x^0}}-1\right)\,\ln\left(\sqrt{x^{-1}+1}+1\right)}{(x+1)^{3/2}}dx$

December 30th, 2020

May 29th, 2020

March 26th, 2020

August 1st, 2022

August 1st, 2022

## Closed form for $\int_0^1\sqrt{\frac{2-x}{(1-x)\,x}}\,\log\left(\frac{(2-x)\,x}{1-x}\right)dx$

November 24th, 2020

August 1st, 2022

## What is a closed form for ${\large\int}_0^1\frac{\ln^3(1+x)\,\ln^2x}xdx$?

February 22nd, 2020

August 1st, 2022

## What does closed form solution usually mean?

August 17th, 2020

August 1st, 2022

August 1st, 2022

## Infinite Series $\sum_{n=1}^\infty\frac{H_n}{n^22^n}$

September 9th, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

August 3rd, 2020

## Integral $\int_0^1\frac{x^9\left(x^4+x^2-x-1-5\ln x\right)}{\left(x^{10}-1\right)\ln x}\mathrm dx$

August 30th, 2020

## Integral $\int_0^\infty\left(x+5\,x^5\right)\operatorname{erfc}\left(x+x^5\right)\,dx$

October 13th, 2020

April 1st, 2022

## $\int_0^1\arctan\,_4F_3\left(\frac{1}{5},\frac{2}{5},\frac{3}{5},\frac{4}{5};\frac{1}{2},\frac{3}{4},\frac{5}{4};\frac{x}{64}\right)\,\mathrm dx$

January 3rd, 2020

July 29th, 2020

## Closed form for the integral $\int_{0}^{\infty}\frac{\ln^{2}(x)\ln(1+x)}{(1-x)(x^{2}+1)}dx$

September 16th, 2020

May 19th, 2020

August 1st, 2022