Proving this integral to be 0 in complex analysis
86857
Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
89422
Upper bound on complex integral of real-valued function, estimation lemma too loose
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
25797
Integral of $ x \ln( \sin (x))$ from 0 to $ \pi $
100711
$\int_{-\infty}^{\infty}e^{-zt^2 + 2wt} \ dt = e^{w^2 / z} \sqrt{\frac{\pi}{z}}$ for $z,w \in \mathbb{C}, Re(z) > 0$
31493
Complex integral help involving $\sin^{2n}(x)$
135813
Soving a Complex Integral along a circle
15237
Prove an inequality using complex analysis
15886
Proof that $\frac {1} {2\pi i} \oint \frac {{\rm d}z} {P(z)} $ over a closed curve is zero.
49884
Integral vanishes on all intervals implies the function is a.e. zero
67322
evaluate $\int_{0}^{\infty}\cos(t) t^{z-1}dt=\Gamma(z)\cos(\frac{\pi z}{2})$
68255
Theorems in complex analysis.
10341
complex integration $\frac{1-|a|^{2}}{\pi}\int_{L}\frac{|dz|}{{|z+a|}^{2}}$
148746
Calculating $\int\frac{e^{iz}}{z}\, dz$ on the semi-circle given by $re^{i\theta}$ where $\theta:\,0\to\pi$
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
31777
Complex line integral
107146
How can i prove this problem about Cauchy integral?