I want to prove this geometrically.
For function $g : \mathbf{C} \rightarrow \mathbf{R}$ and g is some continuous function.
The value of $\int_0^{2\pi} g(re^{i(\theta + \phi)}) \, d\phi$ is independent of $\theta$?
I want to prove this geometrically.
For function $g : \mathbf{C} \rightarrow \mathbf{R}$ and g is some continuous function.
The value of $\int_0^{2\pi} g(re^{i(\theta + \phi)}) \, d\phi$ is independent of $\theta$?