The value of the integral $\int\limits_2^4 \frac{x}{x^2+1} dx$ is:

$\frac{1}{2} \log \left(\frac{5}{17}\right)$ $\frac{1}{2} \log \left(\frac{17}{5}\right)$ $2 \log \left(\frac{5}{17}\right)$ $2 \log \left(\frac{17}{5}\right)$

$\frac{1}{2} \log \left(\frac{17}{5}\right)$

The correct answer is Option (2) - $\frac{1}{2} \log \left(\frac{17}{5}\right)$