Evaluating $\int^{\infty}_0 \frac{\ln x}{\cosh^2 x}\,dx$
108396
Integral $\int_0^{\infty} \frac{\log x}{\cosh^2x} \ \mathrm{d}x = \log\frac {\pi}4- \gamma$
107351
Evaluate the improper integral $\int_{0}^{\infty}{f(x)-f(2x)\over x}dx$, where $\lim_{x \to \infty} f(x) = L$
24022
Compute $\int _0 ^{2\pi} (\sum_{n=1}^\infty \frac {\cos(nx)}{2^n})^2 dx$
105860
Evaluate the limit of $(n+1)\int_0^1x^n\ln(1+x)\,dx$ when $n\to\infty$
40881
Evaluate $\int_{0}^{+\infty }{\left( \frac{x}{{{\text{e}}^{x}}-{{\text{e}}^{-x}}}-\frac{1}{2} \right)\frac{1}{{{x}^{2}}}\text{d}x}$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
54638
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
24182
Evaluating $\int_{0}^{\infty}\frac{\sin^{2n+1}x}{x}\mathrm{d}x$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
109121
How to find integral of $\int_0^\infty \frac{\ln ^2z} {1+z^2}\mathrm{d}z$?
9926
About the relation between $\int_{0}^{\infty}\frac{\cosh((\alpha-\beta)x)}{(\cosh(x))^{\alpha+\beta }} \,dx$ and $B(\alpha,\beta)$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
3068
Evaluating $\int_0^\infty \sin x^2\, dx$ with real methods?
105765
Integrating $\frac{x^k }{1+\cosh(x)}$
48233
Evaluating $\int_0^\infty \frac{dx}{1+x^4}$.
57686
Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$