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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

This problem involves solving a series of indefinite integrals, using substitution and various integration techniques such as the arctangent formula and rational function integration. Suitable for advanced students in Grades 11-12.

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