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NoName

Apparently, this user prefers to keep an air of mystery about them.

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9 Show that $\sum_{n=0}^\infty \frac{1}{n+1} \binom{2n}{n} \frac{1}{2^{2n+1}} = 1.$ Feb 13
8 How to prove $\int_0^1\frac{1-x}{(\ln x)(1+x)}\ dx=\ln\left(\frac2{\pi}\right)$? Aug 30 '19
7 Having the sequence $(a_{n})_{n\geq1}$, $a_{n}=\int_{0}^{1} x^{n}(1-x)^{n}dx$, find $\lim\limits_{n{\rightarrow}\infty} \frac{a_{n+1}}{a_{n}}$ Mar 3 '19
7 Closed-form expression for $F(x,y) = \int_0^1 \frac{\sqrt{t(1-t)}}{(t+x)^2 (t+y)} \mathrm{d}t$? Feb 15
2 Evaluating Series Integral 2 days ago
1 How to Evaluate This type of trigonometric integral? 12 hours ago
1 Using differentiation under integral sign, find the value of $\int_{0}^{1} \frac {x^{\alpha } + x^{-\alpha} -2}{(1-x) \ln(x)} dx$ Mar 7

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