does $\int_\gamma ln(z) dz$ depend on the branch cut I choose?
125506
Why can I get two different results when calculating $\int \ln(z) \,dz$?
131251
Picking a $\delta$ for a convenient $\varepsilon$?
43177
How do I rigorously show $f(z)$ is analytic if and only if $\overline{f(\bar{z})}$ is?
111056
Harmonic conjugate of $\ln|z|$ in $\mathbb C \setminus \{0\}$
30829
A question in Complex Analysis $\int_0^{2\pi}\log(1-2r\cos x +r^2)\,dx$
70789
Integrating $\ln(x)\times\ln(1-x)$
63251
Evaluation of $\int^1_0\frac{x^b-x^a}{\ln x} d x=\ln{{\frac{1+b}{1+a}}}$
9223
Finding $\iiint_K (x^2 -z^2)\, dx\, dy \,dz$
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
116507
Very quick question: function extends to 1/z on the boundary of unit disc
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
16820
Evaluate $\int_{\gamma} \frac{ |dz| }{z} $ where $\gamma $ is the unit circle
537
Set of branch points isn't discrete, but branch points are isolated?
53830
Evaluate $ \int_{0}^{1} \ln(x)\ln(1-x)\,dx $
57659
Evaluate $\int_{\left | z \right |=3} (e^{z}-1)dz/(z(z-1)(z-i))$
58616
A generalization for Serret's integral $\int_0^a \frac{\ln(1+ax)}{1+x^2}dx$
63446
The existence of analytical branch of the logarithm of a holomorphic function