Evaluate the following definite integral: $$ \int_{0}^{2\pi} \left( \frac{\cos^2(x)}{1 + \sin(x)} + \frac{\sin^2(x)}{1 - \cos(x)} \right) \cdot e^{ix} \, dx $$ where i=−1i = \sqrt{-1} (the imaginary unit) and eixe^{ix} is the complex exponential function.
do it.
now.