Část:
Project ID:
2010008102
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Vypočtěte
\[
\int \left( \frac{1}{x} - \frac{2}{x^2} +\frac{3}{\sqrt{x}}\right) \mathrm{d}x
\]
na intervalu \( (0;+\infty)\).
\( \ln x +\frac{2}{x}+6\sqrt{x}+c;~c \in \mathbb{R}\)
\( \frac{2}{x^2}-\frac{6}{x^3}+\frac{9}{2\sqrt{x^3}}+c;~c \in \mathbb{R}\)
\( \frac{1}{2x^2}-\frac{2}{3x^3}+\frac{2}{\sqrt{x^3}}+c;~c \in \mathbb{R}\)
\( \ln x +\frac{2}{x}+\frac{3\sqrt{x}}{2}+c;~c \in \mathbb{R}\)