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Conjectured closed form for $\int_0^1\frac{\operatorname{li}^4(x)}{x^4}\,dx$

Looking for rounded corner plane curve with certain properties (SIDESTEPPED)

Finding a closed form of recursive formula $T(n)=4T(n-1) - 4T(n-2)$

Improper integral of $\frac{\sin x}{x}e^{-ax}$

How to solve a functional differential equation?

Any closed form for this expression?$ \sum_{k=0,\,l=0}^{k=n,\,l=m}\frac{\lambda^{l+k}}{k!\,l!}\sqrt{\frac{n!\,m!}{(n-k)!(m-l)!}}\delta_{n-k,\,m-l}$

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Reference to proof of closed form for of $\zeta_{\text{Ai}}(2)$

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Prove that $\int_{-\infty}^\infty \frac{\operatorname{Ai}^2(x+a_n)}{x^2}dx = 1$

Summation of a series involving powers of Fibonacci numbers.

Evaluate the sum $\sum_{k=1}^nk^2\, 2^{-k}$

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Evaluation of $\int_{0}^{1}\frac{x^{2015}-1}{\ln x}dx$

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