Level:
Project ID:
9000065905
Accepted:
1
Evaluate the following integral on the interval \((0;+\infty)\).
\[
\int \frac{\left (\sqrt{x} + 2\right )^{2}}
{x} \, \text{d}x
\]
\(x + 8\sqrt{x} + 4\ln |x| + c,\ c\in \mathbb{R}\)
\(\sqrt{x} + 8x + 4\ln |x| + c,\ c\in \mathbb{R}\)
\(\frac{1}
{2}x^{-\frac{1}
{2} } + 2x +\ln |x| + c,\ c\in \mathbb{R}\)
\(1 + 8\sqrt{x} + 4\ln |x| + c,\ c\in \mathbb{R}\)