It seems you've uploaded an image with mathematical integrals. Let's work through them one by one:

a)

$\int \frac{e^{2x}}{1 - e^{2x}} \, dx$

To solve this, we can simplify the integral by substituting $u = e^{2x}$, which would make the differential $du = 2e^{2x} \, dx$. This substitution allows us to transform the integral into a more manageable form.

b)

[ \int