How to solve the integral $I=\int_0^\infty (e^{-u}\log u) du$ using standard methods
124463
Integral from $0$ to $\infty$ of $\ln(x)/e^x$
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
79908
Show $\int_0^\infty \frac{e^{-x}-e^{-xt}}{x}dx = \ln(t),$ for $t \gt 0$
143585
Solve the integral $\frac 1 {\sqrt {2 \pi t}}\int_{-\infty}^{\infty} x^2 e^{-\frac {x^2} {2t}}dx$
130670
Solving Integrals
63988
General formula for evaluating integrals of the form $\displaystyle\int_0^\infty x^ae^{-bx}dx$
119410
Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$
51216
Different ways to tackle the integral $\int_0^1\sqrt\frac x{1-x}\,dx$
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
133922
How to solve this integral? $I=\int{e^x \Big(2\log x+\frac{1}{x}+\frac{1}{x^2}\Big)dx}$
155919
Integral $\small \int_0^\infty \frac{(\pi x - 2\log{x})^3}{\left(\log^2{x} + \frac{\pi^2}{4}\right)(1+x^2)^2} \text{d}x$
91196
Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$
123694
How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$
65407
Evaluating $\int\limits_0^\infty \frac{\log x} {(1+x^2)^2} dx$ with residue theory
111775
$\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis
9730
Solve the integral $\int_0^\infty x/(x^3+1) dx$
90095
Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$