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# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int x\:\ln\:3x\:dx$

Learn how to solve trigonometric integrals problems step by step online.

$\begin{matrix}u=3x \\ du=3dx\end{matrix}$

Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(x*ln(3*x))dx. Solve the integral \int x\ln\left(3x\right)dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Rewriting x in terms of u. Substituting u, dx and x in the integral and simplify.

$9x^2\left(-\frac{1}{20}+\frac{1}{10}\ln\left(3x\right)\right)+C_0$

### Problem Analysis

$\int x\:\ln\:3x\:dx$

### Main topic:

Trigonometric integrals

~ 1.09 seconds