Find the Arc Length of the Curve $y = x ^ { 2 } - \frac { 1 } { 8 } \ln x , \quad 1 \leq x \leq 3$

Find the arc length of the curve $y = x ^ { 2 } - \frac { 1 } { 8 } \ln x , \quad 1 \leq x \leq 3$ .