Evaluate the definite integral $\displaystyle\int\limits_1^2\frac{5x^2}{x^2+4x+3}$
$\begin{array}{1 1} 5- \large \frac{5}{2}[9 \log(5/4)-\log(3/2)] \\ 5- \large \frac{5}{2}[7 \log(5/4)+\log(3/2)] \\5+ \large \frac{5}{2}[9 \log(5/4)+\log(3/2)]\\ 5- \large \frac{3}{2}[7 \log(5/4)-\log(5/2)] \end{array}$