Evaluate $\int_0^{\infty}xe^{-iax}dx$
93825
Fourier transform of power function $t^\alpha$
30193
Real-Analysis Methods to Evaluate $\int_0^\infty \frac{x^a}{1+x^2}\,dx$, $|a|<1$.
40881
Evaluate $\int_{0}^{+\infty }{\left( \frac{x}{{{\text{e}}^{x}}-{{\text{e}}^{-x}}}-\frac{1}{2} \right)\frac{1}{{{x}^{2}}}\text{d}x}$
44737
$ \int_{-\infty}^{\infty} x^4 e^{-ax^2} dx$
12604
Evaluate $\int_0^\pi xf(\sin x)dx$
124463
Integral from $0$ to $\infty$ of $\ln(x)/e^x$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
79908
Show $\int_0^\infty \frac{e^{-x}-e^{-xt}}{x}dx = \ln(t),$ for $t \gt 0$
6552
Evaluation of the double integral $\int_{[0,1]×[0,1]} \max\{x, y\} dxdy$
25509
evaluation of an integral involving algebraic numbers
102399
Computing $ \int_0^\infty \frac{\log x}{\exp x} \ dx $
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
100569
Evaluating the improper integral $\int_{0}^{\infty} \frac{x^3}{e^{x}-1} dx$
105494
Gaussian-like integral : $\int_0^{\infty} e^{-x^2} \cos( a x) \ \mathrm{d}x$
81831
Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
3068
Evaluating $\int_0^\infty \sin x^2\, dx$ with real methods?
31964
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$