Ron Gordon

 721 Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \ \mathrm dx$ 136 Surprising identities / equations 102 Is it possible to simplify $\frac{\Gamma\left(\frac{1}{10}\right)}{\Gamma\left(\frac{2}{15}\right)\ \Gamma\left(\frac{7}{15}\right)}$? 80 Some users are mind bogglingly skilled at integration. How did they get there? 79 Integrate $\int_0^{\pi/2} \frac{1}{1+\tan^\alpha{x}}\,\mathrm{d}x$

Reputation (122,659)

 +10 Integrate $\int_0^{\pi/2} \frac{1}{1+\tan^\alpha{x}}\,\mathrm{d}x$ +10 Special Laplace Inversion +10 if $\log_xa+\log_ya=4\log_{xy}a$ prove that $x=y$ +10 $\int\limits_{-1/2}^{1/2}(\sin^{-1}(3x-4x^3)-\cos^{-1}(4x^3-3x))dx=$

Questions (12)

 161 Symmetry of function defined by integral 38 Weber-type integral 22 Summation using residues 18 Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$ [duplicate] 15 Tough Inverse Fourier Transform

Tags (305)

 4k integration × 877 1k closed-form × 49 4k calculus × 788 1k sequences-and-series × 304 3k definite-integrals × 353 944 improper-integrals × 173 2k contour-integration × 313 932 real-analysis × 209 2k complex-analysis × 523 586 trigonometry × 124

Accounts (14)

 Mathematics 122,659 rep 14156267 Area 51 245 rep 7 MathOverflow 141 rep 4 Physics 101 rep 3 Mi Yodeya 101 rep 2