Integral of Absolute Value

Rarely Tested

$$\int_a^b |f(x)| \, dx = \int_a^c f(x) \, dx - \int_c^b f(x) \, dx$$
where $$f(c)=0$$ and $$f \geq 0$$ on $$[a,c]$$, $$f \leq 0$$ on $$[c,b]$$.
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