0
mod x, or |x| is actually a conjunction of two functions:
1) x = -x, for x < 0
2) x = x, for x >= 0.
Whenever you're calculating integral of |x|, you have to consider those two functions, for example:
integral of |x| from -5 to 4 by dx is a sum of integrals of -x from -5 to 0 by dx and integral of x from 0 to 4 by dx.
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