Question

Solve the integral:$\int \frac{3x+1}{x}dx$

Short answer

The required answer is $3x+\ln \left(x\right)+c$.

Step-by-step solution

Step 1. Given information 

We have given integral is$\int \frac{3x+1}{x}dx$.

Step 2. Solve the integration by parts .  

We have,

$$\begin{gathered} \int \frac{3x+1}{x}dx \\ =\int \left(3+\frac{1}{x}\right)dx \\ =\int 3dx+\int \frac{1}{x}dx \\ =3x+\ln \left(x\right)+c \end{gathered}$$