Evaluation of $\int_1^\infty \frac{1}{x(x^2+1)} dx$
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
63251
Evaluation of $\int^1_0\frac{x^b-x^a}{\ln x} d x=\ln{{\frac{1+b}{1+a}}}$
127267
Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(2n+1)}=2-2\ln(2)$
140638
Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
109901
Computing $\int_0^\infty\frac1{(x+1)(x+2)\cdots(x+n)}\mathrm dx $
128572
How $\int_{-\infty}^{\infty}\frac{dx}{1+x^2}$ exists?
112621
Finding $\int_{0}^{\infty} \frac{e^{3x}-e^x}{x(e^{3x}+1)(e^x+1)} dx$
59532
Evaluation of this integral.
150890
Evaluating $\int_{\mathbb{R}}\frac{\exp(-x^2)}{1+x^2}\,\mathrm{d}x$
24716
$\int_0^\infty\frac{\log x dx}{x^2-1}$ with a hint.
81831
Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
115598
Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
156531
Evaluating the integral $\int_{-\infty}^\infty \frac{\sin^2(x)}{x^2}e^{i t x} dx$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
5537
Closed form for $ \int_0^\infty {\frac{{{x^n}}}{{1 + {x^m}}}dx }$
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
83325
Integral of $\frac{\sqrt{x^2+1}}{x}$