Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
717
Proof of Frullani's theorem
95426
How to compute $ \frac{1}{\sqrt{2\pi}} \int_{-\infty}^\infty \frac{e^{-{x^2}/{2}}}{1+e^{-(ax+b)}}\,\mathrm dx $ when $b \ne 0$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
152339
Complex-valued Fourier integral: $ \int_{ - \infty }^{ + \infty } {\frac{{\cos (ax)}}{{{x^2} + 1}}{e^{ - ibx}}\,\mathrm dx} $
57224
Compute $\int_0^\infty \frac{dx}{1+x^3}$
67622
Proving of Integral $\int_{0}^{\infty}\frac{e^{-bx}-e^{-ax}}{x}dx = \ln\left(\frac{a}{b}\right)$
109901
Computing $\int_0^\infty\frac1{(x+1)(x+2)\cdots(x+n)}\mathrm dx $
41738
Best way to integrate $ \int_0^\infty \frac{e^{-at} - e^{-bt}}{t} \text{d}t $
33155
Use residues to evaluate $\int_0^\infty \frac{\cosh(ax)}{\cosh(x)}\,\mathrm{d}x$, where $|a|<1$
117101
Integrate $\int \frac{dx}{\sqrt{-ax^2 + bx +c}} $
90095
Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
109606
Detail in the use of the Residue Theorem for $\int\limits_{-\infty}^{\infty}\frac{\cos(2x)-1}{x^2}dx$
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
144039
Computing $ \int_0^{\infty} \frac{ \sqrt [3] {x+1}-\sqrt [3] {x}}{\sqrt{x}} \mathrm dx$
34967
Compute $ \int_{0}^{ \infty }\frac{\ln xdx}{x^{2}+ax+b}$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$