New posts in Closed Form

Closed form of recurrence relation $a_k=(n+k)a_{k-1}-ka_{k-2}$

Evaluate $\sum _{n=1}^{\infty } \frac{1}{n^5 2^n \binom{3 n}{n}}$ in terms of elementary constants

Exact expression of a trigonometric integral

The closed form for $\sum_{n=1}^\infty \frac{H_{n/2}}{n^2}x^n$

Derivative of $\arctan2$

Closed-form expression for $F(x,y) = \int_0^1 \frac{\sqrt{t(1-t)}}{(t+x)^2 (t+y)} \mathrm{d}t$?

Evaluating $\sum_{n=1}^\infty\frac{\overline{H}_nH_{n/2}}{n^2}$

Computing $\int_0^1\frac{\ln(1-x^2)}{x}\operatorname{Li}_2\left(\frac{1-x}{2}\right)\ dx$

How to evaluate: $\int_0^1 \frac{\frac{\pi^2}{6}-\operatorname{Li}_2(1-x)}{1-x}\cdot \ln^2(x) \, \mathrm dx$

solve:$\int \frac{e^x+1}{e^x-1}dx$