A specific improper integral
19716
What is $\int_0^1\frac{x^7-1}{\log(x)}\mathrm dx$?
30731
Integral ${\frac{1}{\pi^2}} \int_{0}^{\infty}\frac{{(\ln{x}})^2}{\sqrt{x}{(1-x)^2}} \mathrm d x$
110394
For which values this integral converge?
105494
Gaussian-like integral : $\int_0^{\infty} e^{-x^2} \cos( a x) \ \mathrm{d}x$
93071
Is there a way to calculate the improper integral $\int_0^\infty \big(\frac{\ln x}{x - 1}\big)^2 dx$?
142516
Evaluating the integral, $\int_{0}^{\infty} \ln\left(1 - e^{-x}\right) \,\mathrm dx $
155919
Integral $\small \int_0^\infty \frac{(\pi x - 2\log{x})^3}{\left(\log^2{x} + \frac{\pi^2}{4}\right)(1+x^2)^2} \text{d}x$
56867
Convergence proof that involves integral
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
69124
Integral $\int_{0}^{\infty}e^{-ax}\cos (bx)\operatorname d\!x$
148743
$\int_0^\infty \frac{1}{1+x^ 9} \, dx$
40272
Can we find a closed form for this integral?
83191
improper integrals (comparison theorem)
61079
How to see this improper integral diverges?
120425
Bizarre Definite Integral
21375
The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$
119115
Analytic Expression for special integral