Parte:
Project ID:
2010008105
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Evalúa la siguiente integral en el intervalo \((0;+\infty)\).
\[
\int \left( \frac{1}{x} + \frac{1}{x+1}+\frac{x}{x^2+2}\right) \mathrm{d}x
\]
\( \ln x + \ln(x+1) + \frac12 \ln(x^2+2)+c;~c \in \mathbb{R}\)
\( \ln x + \ln(x+1) + \frac12 x^2\ln(x^2+2)+c;~c \in \mathbb{R}\)
\( \frac{2}{x^2} + \frac{1}{\frac12 x^2+x} + \frac{\frac12x^2}{\frac13x^3+2x}+c;~c \in \mathbb{R}\)
\( \ln x + \ln(x+1) + \frac{3x}{2(x^2+6)}+c;~c \in \mathbb{R}\)