Ron Gordon
Reputation
95/100 score
12 129 218
Impact
~1.6m people reached

 566 Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \ \mathrm dx$ 104 Surprising identities / equations 91 Is it possible to simplify $\frac{\Gamma\left(\frac{1}{10}\right)}{\Gamma\left(\frac{2}{15}\right)\ \Gamma\left(\frac{7}{15}\right)}$? 72 How to prove this identity $\pi=\sum\limits_{k=-\infty}^{\infty}\left(\frac{\sin(k)}{k}\right)^{2}\;$? 61 Integrate $\int_0^{\pi/2} \frac{1}{1+\tan^\alpha{x}}\,\mathrm{d}x$

### Reputation (107,422)

 +10 Why is Laplace Transform used for ODEs +10 Definite integral $\int_0^1 \frac{\arctan x}{x\,\sqrt{1-x^2}}\,\text{d}x$ +10 Evaluate using Riemann sums $\int_0^a \cos x\mathrm{d}x$ +10 Product rule intuition

### Questions (11)

 129 Symmetry of function defined by integral 32 Weber-type integral 22 Summation using residues 15 Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$ [duplicate] 14 Tough Inverse Fourier Transform

### Tags (285)

 4k integration × 820 1k sequences-and-series × 290 4k calculus × 768 1k closed-form × 46 2k definite-integrals × 324 821 improper-integrals × 167 2k contour-integration × 285 807 real-analysis × 196 1k complex-analysis × 488 518 trigonometry × 121

### Accounts (13)

 Mathematics 107,422 rep 12129218 MathOverflow 131 rep 4 Physics 101 rep 3 Mi Yodeya 101 rep 2 Ask Patents 101 rep 2