Časť:
Project ID:
2010000306
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Vypočítajte
\[
\int x^{3}\ln x\, \mathrm{d}x
\]
na intervale \((0;+\infty)\).
\(\frac{x^4}{4}\ln x -\frac{x^4}
{16}+ c,\ c\in \mathbb{R}\)
\(\frac{x^3}{3}\ln x -\frac{x^3}
{9}+ c,\ c\in \mathbb{R}\)
\(\frac{x^2}{2}\ln x -\frac{x^2}
{4}+ c,\ c\in \mathbb{R}\)
\(x\ln x -x+ c,\ c\in \mathbb{R}\)