Level:
Project ID:
1003107604
Accepted:
1
Evaluate the following integral on \( (0;\infty) \).
\[ \int\frac{-2x^2+3x+2}{x^3+x^2}\mathrm{d}x \]
\( \ln\frac x{x^3+3x^2+3x+1}-\frac2x+c\text{, }c\in\mathbb{R} \)
\( \ln x-\ln(x+1)^3+c\text{, }c\in\mathbb{R} \)
\( \ln\frac{x\cdot x^2}{(x+1)^3}+c\text{, }c\in\mathbb{R} \)
\(\ln\frac{x^3}{x^3+3x^2+3x+1}-\frac2x+c\text{, }c\in\mathbb{R} \)