Question$\int \frac{2 x+5}{3 x-1} d x$

Studdy Solution
Simplify the final expression.
$$\frac{2}{9} (3x - 1) + \frac{17}{9} \ln|3x - 1| + C = \frac{2}{3} x - \frac{2}{9} + \frac{17}{9} \ln|3x - 1| + C$$
The solution to the integral is:
$$\int \frac{2x + 5}{3x - 1} \, dx = \frac{2}{3} x - \frac{2}{9} + \frac{17}{9} \ln|3x - 1| + C$$