Step-by-step Solution

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Step-by-step explanation

Problem to solve:

$\int\frac{xdx}{3x^2-1}$

Learn how to solve integrals of rational functions problems step by step online.

$\begin{matrix}u=3x^2-1 \\ du=6xdx\end{matrix}$

Learn how to solve integrals of rational functions problems step by step online. Integral of x/(3x^2-1) with respect to x. Solve the integral \int\frac{x}{3x^2-1}dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Substituting u and dx in the integral and simplify. Take the constant out of the integral.

$\frac{1}{6}\ln\left|3x^2-1\right|+C_0$

Problem Analysis

$\int\frac{xdx}{3x^2-1}$

Main topic:

Integrals of Rational Functions

~ 0.57 seconds