Question

antidervative of 3/2x+1

Answer 1

Task. Antidervative of $\frac{3}{2x} + 1$

Solution. Antidervative of $\frac{3}{2x} + 1$ is

$$\int \left(\frac{3}{2x} + 1\right) dx = \frac{3}{2} \int \frac{dx}{x} + \int dx = \frac{3}{2} \ln |x| + x + C.$$