QuestionFind the integral: $\int x^{2} \ln (x) \, dx$.

Studdy Solution
Calculate the integral on the right side of the equation.
$$\int x^{2} \ln(x) dx = \frac{x^3 \ln(x)}{3} - \frac{x^3}{9} + C$$Where $C$ is the constant of integration.
The integral of $x^{2} \ln(x)$ with respect to $x$ is $\frac{x^3 \ln(x)}{3} - \frac{x^3}{9} + C$.