Evaluate the following complex integral $\frac{1}{2\pi i}\int_{|z|=1}\frac{\overline{f(z)}}{z-a}\,dz$
132363
Cauchy's Integral parametric conjugate
32312
Evaluating the integral $\int \frac{x^2+x}{(e^x+x+1)^2}dx$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
158147
Calculating $\int_{-\infty}^{\infty}\frac{\sin(ax)}{x}\, dx$ using complex analysis
57659
Evaluate $\int_{\left | z \right |=3} (e^{z}-1)dz/(z(z-1)(z-i))$
88670
Evaluating $\int \frac{1}{{x^4+1}} dx$
27195
Evaluating $\int_{0}^{1}\frac{1-x}{1+x}\frac{\mathrm dx}{\ln x}$
3704
Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
153867
Evaluate $ \int_{0}^{\frac{\pi}2}\frac1{(1+x^2)(1+\tan x)}\:\mathrm dx$
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
144811
Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
83325
Integral of $\frac{\sqrt{x^2+1}}{x}$
129913
Evaluate: $I=\int\limits_{0}^{\frac{\pi}{2}}\ln\frac{(1+\sin x)^{1+\cos x}}{1+\cos x}dx$
77377
Complex integration with a $\mathcal{C}^1$ function $f$
62471
Homework: Complex integral equation