Certainly! Here are some integral problems where solving yields logarithmic functions:

1. $\int \frac{1}{x} \, dx$
2. $\int \frac{2}{x - 3} \, dx$
3. $\int \frac{5}{3x + 7} \, dx$
4. $\int \frac{1}{2x + 5} \, dx$
5. $\int \frac{3x}{x^2 - 4} \, dx$

Tip: When integrating functions that yield a logarithmic result, look for forms resembling $\int \frac{f'(x)}{f(x)} \, dx$, which generally lead to $\ln |f(x)|$ as the antiderivative.

Let me know if you want a detailed explanation or solutions for any of these integrals!