Integral of a fraction of series
1516
How did you prove this integral?
91306
Integration of $\frac{1}{\log(x)}$
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
119572
Finding the integral of $\frac{x}{e^x + 1}$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
17852
$\int \frac{dx}{x\log(x)}$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
6852
Integral of $\int \frac{x \sin{x} \cos{x}}{(a^2 \sin^2 x + b^2 \cos^2 x)^2} dx $
157931
Contour integration of $\int \frac{dx} {(1+x^2)^{n+1}}$
95068
Integral of $\frac{1}{2x}$
31964
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
148743
$\int_0^\infty \frac{1}{1+x^ 9} \, dx$
116778
Calculation of an integral via residue.
70013
How to calculate $\int \frac{x^2 }{(x^2+1)^2} dx$?
129734
Computing $\sum_{k=1}^{\infty}\frac{1}{k}\int_{\pi k}^{\infty}\frac{\sin(x)}{x}dx$
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
100194
Calculating $ \int _{0} ^{\infty} \frac{x^{3}}{e^{x}-1}\;dx$