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 Mar 8 accepted Random walk and expected value Mar 8 comment Random walk and expected value How may it help? Mar 7 asked Random walk and expected value May 17 awarded Yearling Dec 7 awarded Enlightened Dec 7 awarded Nice Answer Oct 27 awarded Popular Question Sep 30 awarded Explainer Sep 20 awarded Necromancer Jul 23 awarded Good Answer Jul 2 awarded Curious May 17 awarded Yearling Feb 16 answered Definite integral involving arctan and tan Nov 6 comment A closed form for the sum $\sum_{n=1}^{\infty}\left(\frac{H_n}{n}\right)^2$ Nov 6 comment Integral $\int_{-\infty}^{\infty}\frac{\mathrm dx}{(ax^2+2bx+c)^{\alpha}}$ It's one of the Beta function (en.wikipedia.org/wiki/Beta_function) representations. If you substitute $p = u^2$ it will become more apparent. Nov 5 revised Evaluating $\lim\limits_{n \to \infty} (\int _a^b|f(x)|^ndx)^\frac 1n=\max\limits_{x\in[a,b]}|f(x)|$ added 17 characters in body Nov 5 comment evaluation of $\int\frac{x^2}{\left(1+x^4\right)\sqrt{1+x^4}}dx$ If you are looking for an elementary solution - there isn't one due to: encyclopediaofmath.org/index.php/… Nov 5 comment Integral from zero to infinity of $\int_0^{\infty}\frac{(1-e^{-\lambda z})}{\lambda^{a+1}} d \lambda$ @ghiasi This condition appears when you check when $\int_0^z t^{a-1} dt$ and $\int_0^{+\infty} x^{-a} e^{-x} dx$ converge ($z > 0$). Nov 4 answered Evaluating $\lim\limits_{n \to \infty} (\int _a^b|f(x)|^ndx)^\frac 1n=\max\limits_{x\in[a,b]}|f(x)|$ Nov 4 answered Integral from zero to infinity of $\int_0^{\infty}\frac{(1-e^{-\lambda z})}{\lambda^{a+1}} d \lambda$