Without Cauchy Integral Formula or Residues: $\int_{L}\frac{dz}{z^{2}+1}$
75501
Proof using Cauchy Integral Theorem
102636
Contour Integral: $\int^{\infty}_{0}(1+z^n)^{-1}dz$
133212
$\int_C \frac{\log z}{z-z_0} dz$ - Cauchy theorem with $z_0$ outside the interior of $\gamma$
111775
$\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis
39524
Integral Representation of the Zeta Function: $\zeta(s)=\frac1{\Gamma(s)}\int_{0}^\infty \frac{x^{s-1}}{e^x-1}dx$
80903
Help with integrating $\int_0^{\infty} \frac{(\log x)^2}{x^2 + 1} \operatorname d\!x$ - contour integration?
66087
Calculus of residue of function around poles of fractional order (complex analysis)
138559
How can I show that $\frac{1}{1+|z|^2}$ isn't analytic at $z=1$?
54638
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
141926
A Challenging Logarithmic Integral $\int_0^1 \frac{\log(x)\log(1-x)\log^2(1+x)}{x}dx$
100711
$\int_{-\infty}^{\infty}e^{-zt^2 + 2wt} \ dt = e^{w^2 / z} \sqrt{\frac{\pi}{z}}$ for $z,w \in \mathbb{C}, Re(z) > 0$
99753
How to prove $\int_0^1\frac{1-x}{(\ln x)(1+x)}\ dx=\ln\left(\frac2{\pi}\right)$?
38515
Integral of $\frac{1}{x^4+1}$
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.
58924
Possible values of $\int \frac{dz}{\sqrt{1-z^2}}$ over a closed curve in a region?
151649
Exact Values of the integal $\int_0^\infty \frac{r^{n-1}}{(1+r^2)^{\frac{s}{2}}}\,dr$
151344
Finding $\int_{0}^{1}\int_{0}^{1}\int_{0}^{1} \left\{\frac{x}{y}\right\} \left\{\frac{y}{z}\right\}\left\{\frac{z}{x}\right\} dx\space dy\space dz $