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$\large \displaystyle\int_a^b \text{sgn(x) dx} = \ ?$

Details : - $\text{sgn}(x)$ denotes the signum function of $x$ - $\text{sgn}(x) = \begin{cases} 1 \quad,\quad x>0 \\ 0 \quad,\quad x=0 \\ -1 \quad,\quad x<0 \end{cases}$ - $a , b \in \Re$

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