Question about evaluating the integral $\int_0^\infty \frac{1-\cos(ax)}{x^2}dx$ using the residue theorem
109606
Detail in the use of the Residue Theorem for $\int\limits_{-\infty}^{\infty}\frac{\cos(2x)-1}{x^2}dx$
91196
Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$
109385
Evaluating the integral $\int_{-\ln 2}^{\ln 2} e^{-x}(\sin x+x)^{1/3}dx$
136981
How can I solve this integral using the Residue theorem?
85618
Integral of $\frac{x^\alpha}{(1 + x^2)^2}$ from 0 to $\infty$ using contour integration for $-1 < \alpha <3$
48233
Evaluating $\int_0^\infty \frac{dx}{1+x^4}$.
13978
Calculating the integral $\int_0^\infty \frac{\cos x}{1+x^2}\, \mathrm{d}x$ without using complex analysis
129892
show $\int_0^{\infty} \frac{x\sin ax}{x^2+t^2}dx = \frac{\pi}{2}e^{-at}$
33155
Use residues to evaluate $\int_0^\infty \frac{\cosh(ax)}{\cosh(x)}\,\mathrm{d}x$, where $|a|<1$
96816
The residue at $\infty$
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
83325
Integral of $\frac{\sqrt{x^2+1}}{x}$
97582
How do I evaluate this integral $\int_0^\pi{\frac{{{x^2}}}{{\sqrt 5-2\cos x}}}\operatorname d\!x$?
140203
Find the value of $\int_{-\infty}^{\infty} \frac{e^{-x^2}}{1+x^2} dx$ .
152339
Complex-valued Fourier integral: $ \int_{ - \infty }^{ + \infty } {\frac{{\cos (ax)}}{{{x^2} + 1}}{e^{ - ibx}}\,\mathrm dx} $
68421
Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.
142619
Evaluating the complex integral $\int_{|z|=2}^{}\frac{1}{z^2+1}dz$