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List Question

How to solve $\int_0^{\infty} \frac{\log(x+\frac{1}{x})}{1+x^2}dx$?

A Trig Integral

Expressing an integral in closed form

The $C_0-$group generated by the operator $(Af)(x)=f'(x)+a(x)f(x)$

How to find $\sum_{n \in \mathbb Z_+} \frac{2^{n-1}}{2^{2^n}}$?

Find closed form of recursion

Proving that $\int_0^\infty\frac{J_{2a}(2x)~J_{2b}(2x)}{x^{2n+1}}~dx~=~\frac12\cdot\frac{(a+b-n-1)!~(2n)!}{(n+a+b)!~(n+a-b)!~(n-a+b)!}$

Closed form of generating function $r^a$

Equations involving factorial/Gamma function

Solving a 2nd-order linear recurrence with variable coefficients

Closed form for $\sum_{k\in\mathbb{N}}\frac{k}{a\uparrow^kb}$

How to solve the following equation? $\left(\sqrt{u^2-1}+u\right)^{1/u}=\pi ^{1/\pi }$

Closed form for an infinite sum over Gamma functions?

Closed form for nth term - generating functions

Improper integral of a rational function:$\int_0^\infty \frac{5t^6}{1+t^{10}}dt$

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