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Larry

Math and physics major college student

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69 Japanese Temple Problem From 1844 Nov 22 '18
25 Ways to show that $\int_{0}^{1}((1-x^r)^{1/r}-x)^{2k}dx=\frac{1}{2k+1}$ Jan 11 '19
21 Is here a specific name for the following theorem? (Sides of inscribed squares of a triangle meet at points collinear with a vertex of the triangle) Aug 28 '18
19 Fibonacci sequence and other metallic sequences emerged in the form of fractions Jun 14 '19
13 Confusion while evaluating the complex continued fraction $\frac{1}{i+\frac{1}\ddots}$ Mar 10 '19
12 How to prove that $\int_{0}^{\infty}\ln^2(x)\sin(x^2)dx=\frac{1}{32}\sqrt{\frac{\pi}{2}}(2\gamma-\pi+\ln16)^2$ Jan 26 '19
12 Is there a closed form for $3\cdot\frac{3}{\sqrt{6}}\cdot\frac{3}{\sqrt{6+\sqrt{6}}}\cdot\frac{3}{\sqrt{6+\sqrt{6+\sqrt{6}}}}\cdots$? Dec 14 '19
11 How to prove that $\sum_{k=1}^{\infty}\frac{k^{n+1}}{k!}=eB_{n+1}=1+\cfrac{2^n+\cfrac{3^n+\cfrac{4^n+\cfrac{\vdots}{4}}{3}}{2}}{1}$ Dec 21 '18
10 Evaluating $\int_{0}^{2\pi}x^2\ln^2(1-\cos x)dx$ Nov 1 '18
10 Evaluate $\sum_{n=2}^\infty \frac{\ln(n)(-1)^n}{n^2} $ Jan 4 '19
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