Find the residue of $\frac1{z-\sin z} $at its pole.
4742
Find the poles and residue of the function $\frac{1}{z-\sin z }$ at $z=0$?
52217
Residue of two functions
43184
Using the Residue Theorem to Prove that $\int^{2\pi}_{0} \frac{1}{(a+\cos\theta)^{2}} d \theta=\frac{2\pi a}{(a^{2}-1)^{3/{2}}}.$
153283
Trigonometric Integral Using Residue Theorem
127129
Using the Argument Principle, evaluate $\int_{|z-i|=7}\frac{z\sinh(z)+3\cosh(z)z}{z\cosh(z)}dz$.
88801
Is there anything special with complex fraction $\left|\frac{z-a}{1-\bar{a}{z}}\right|$?
29383
Computing $\int_{-\infty}^{\infty} \frac{\cos x}{x^{2} + a^{2}}dx$ using residue calculus
76013
Evaluating a sequence of complex numbers: $|z_n - z_m| < \frac1{1+ |n-m|}$
8432
Computing real integral using residues
158147
Calculating $\int_{-\infty}^{\infty}\frac{\sin(ax)}{x}\, dx$ using complex analysis
63427
A Problem with Residue Theorem
158605
Finding The Laurent Series for $\sin(\frac{z}{1+z})$ at $z = -1.$
108872
Residues of $z^2\sin(\frac{1}{z})$
119572
Finding the integral of $\frac{x}{e^x + 1}$
10070
Complex analysis: Calculating $\int_{-\infty}^{\infty} \frac{\sin x}{x} dx$ by using $f(z) = \frac{e^{iz} - 1}{iz}$
146530
If $z$ lies on the circle $|z-1|=1,$ then the value of $\frac{z-2}{z}$ is
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.