What is $e^{2 \pi i \alpha}?$
95145
Does $\exp(2ir\pi)$ equal $1$? What's wrong?
68421
Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.
60721
How does $e^{i x}$ produce rotation around the imaginary unit circle?
48686
Show that $e^{-\beta} = \frac{1}{\sqrt{\pi}} \int_{0}^{\infty} \frac{e^{-u}}{\sqrt{u}} e^{-\beta^2 / 4u} du$.
35473
How to analyze the following complex number?
45061
Physical interpretation of $Q^i = \partial _\nu T^{i \nu}$
148746
Calculating $\int\frac{e^{iz}}{z}\, dz$ on the semi-circle given by $re^{i\theta}$ where $\theta:\,0\to\pi$
23705
Does $\pi$ contain all possible number combinations?
130686
How is $3\pi-10$ element of $[-\pi/2,\pi/2]$?
104512
Why is $\frac{1}{2\pi i}\int_{\gamma}\frac{f'(z)}{f(z)}dz$ an integer?
117383
What is the value of $\Gamma(\mathrm{i})$ ?
7835
Tricky elementary integral $\int_{0}^{\frac{\pi}{2}}x\cot(x)dx$.
24022
Compute $\int _0 ^{2\pi} (\sum_{n=1}^\infty \frac {\cos(nx)}{2^n})^2 dx$
83290
How is the value of $\pi$ ( Pi ) actually calculated?
70974
How can zero divided by $i$ be $2\pi$?
96023
Prove: $\int_\gamma \bar z \, dz=2i\operatorname{Area}(G)$
152336
Any hint to solve given integral $\int_0^{2{\pi}}{{d\theta}\over{a^2\cos^2\theta+b^2\sin^2\theta}}$?