Evaluating a signed measure on an interval straddling the sign change

Consider the signed measure $\nu$ on $[0,2]$ defined by $\nu(A)=\int_Af(x)dx$ where $f(x)=1$ if $x\in[0,1)$, $-1$ if $x\in[1,2]$. Then $\nu\left(\tfrac12,\tfrac32\right)$ is: