Signum Integral

Calculus Level 4

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

Details :
- sgn(x)\text{sgn}(x) denotes the signum function of xx
- sgn(x)={1,x>00,x=01,x<0 \text{sgn}(x) = \begin{cases} 1 \quad,\quad x>0 \\ 0 \quad,\quad x=0 \\ -1 \quad,\quad x<0 \end{cases}
- a,b a , b \in \Re

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