Level:
Project ID:
9000071208
Accepted:
1
Evaluate the following integral on the interval \((0;+\infty)\).
\[
\int x^{2}\ln x\, \mathrm{d}x
\]
\(\frac{x^{3}}
{3} \left (\ln x -\frac{1}
{3}\right ) + c,\ c\in \mathbb{R}\)
\(\frac{x^{2}}
{3} + c,\ c\in \mathbb{R}\)
\(x^{2}\left (\frac{x\ln x}
{3} -\frac{1}
{2}\right ) + c,\ c\in \mathbb{R}\)