$\int_0^{\infty}\frac{\ln x}{x^2+a^2}\mathrm{d}x$ Evaluate Integral
75267
integrate the following function: $\int_{0}^{\infty} \frac{\log{x}}{x^{2}+a^{2}} \ dx$
46310
Showing that $ \int_{0}^{1} \frac{x-1}{\ln(x)} \mathrm dx=\ln2 $
2487
Integral $\int \frac{\mathrm{d}x}{\sqrt{x}+\sqrt{x+1}+\sqrt{x+2}}$
102932
Integral $\int_0^\infty \frac{\arctan(x) dx}{x(1+x^2)}$?
72179
How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
85949
Integral involving logarithm: $\int_0^\infty \frac{ \ln x}{(x+a)(x+b)} dx$
137549
Given $\int_0^{\infty}e^{-x^2}dx = \frac{\sqrt{\pi}}{2}$, evaluate $\int_0^{\infty}e^{-a^2x^2-\frac{b^2}{x^2}}dx $
125069
Help with $\int \frac 1{\sqrt{a^2 - x^2}} \mathrm dx$
27790
Evaluating $\int_0^{\large\frac{\pi}{4}} \log\left( \cos x\right) \, \mathrm{d}x $
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
24716
$\int_0^\infty\frac{\log x dx}{x^2-1}$ with a hint.
6014
Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
18732
How do I evaluate $\int \frac{\mathrm{d}x}{e^x + 1} $?
146349
$\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
90095
Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
109887
How to evaluate $\int_0^1 (\arctan x)^2 \ln(\frac{1+x^2}{2x^2}) dx$