QuestionFind the integral of $\sqrt{x} \ln x$ with respect to $x$: $\int \sqrt{x} \ln x \, dx$.

Studdy Solution
implify the equation.
$$\int \sqrt{x} \ln x dx = \frac{2}{3}x^{3/2}\ln x - \frac{4}{}x^{3/2}$$So, the integral of $\sqrt{x} \ln x$ with respect to $x$ is $\frac{2}{3}x^{3/2}\ln x - \frac{4}{}x^{3/2}$.