What is the residue of $\frac{\sin \frac{1}{z}}{z^2+a^2}$ at $z=0$?
36400
Finding singularities of a complex function and the respective residues
83325
Integral of $\frac{\sqrt{x^2+1}}{x}$
109606
Detail in the use of the Residue Theorem for $\int\limits_{-\infty}^{\infty}\frac{\cos(2x)-1}{x^2}dx$
57463
Evaluate the integral using the theory of residues: $\int_{-\infty}^{\infty} \frac{dx}{(x^2+1)^2(x^2+16)}$
125069
Help with $\int \frac 1{\sqrt{a^2 - x^2}} \mathrm dx$
101704
sum of the residue at all poles of the rational function p/q is 0.
139297
Find the sign of $\int_{0}^{2 \pi}\frac{\sin x}{x} dx$
39492
Finding $z\in \mathbb C$ with $\sin z = 2$?
34060
Laurent Series of $f(z) = \sin {\frac{1}{z}}$ at $z=0$
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
117691
Taylor series $\frac{z^2+z}{(z-1)^2}$ at $z=-1$
52987
$\sum_{n=-\infty}^{\infty}\frac{1}{(n+\alpha)^2}=\frac{\pi^2}{(\sin \pi \alpha)^2}$?
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
36480
$\frac{1 - e^{iz}}{z^2} = \frac{-iz}{z^2} + E(z)$ where $E(z)$ is bounded as $z \rightarrow 0?$
1416
closed form of $\int_{0}^{2\pi}\frac{dx}{(a^2\cos^2x+b^2\sin^2x)^n}$
29546
Residue integral: $\int_{- \infty}^{+ \infty} \frac{e^{ax}}{1+e^x} dx$ with $0 \lt a \lt 1$.
73607
Find the residue at $z=-2$ for $g(z) = \frac{\psi(-z)}{(z+1)(z+2)^3}$