Evaluate $\int_0^{\infty}\frac{\ln(x+\frac{1}{x})}{1+x^2}\cdot dx$
133485
How to solve $\int_0^{\infty} \frac{\log(x+\frac{1}{x})}{1+x^2}dx$?
123694
How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
61515
Evaluate $\int_0^{\infty} \frac{\log(x)dx}{x^2+a^2}$ using contour integration
146349
$\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
65407
Evaluating $\int\limits_0^\infty \frac{\log x} {(1+x^2)^2} dx$ with residue theory
30459
Evaluate $\int^1_0 \log^2(1-x) \log^2(x) \, dx$
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
75267
integrate the following function: $\int_{0}^{\infty} \frac{\log{x}}{x^{2}+a^{2}} \ dx$
65982
Evaluate the improper integral $ \int_0^1 \frac{\ln(1+x)}{x}\,dx $
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
124463
Integral from $0$ to $\infty$ of $\ln(x)/e^x$
57224
Compute $\int_0^\infty \frac{dx}{1+x^3}$
6014
Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
100180
Evaluate the integral $\int_0^\infty \frac{dx}{\sqrt{(x^3+a^3)(x^3+b^3)}}$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$