Integral of Absolute Value
$$\int_a^b|f(x)|\,dx=\int_{\{x:f(x)\geq0\}}f(x)\,dx-\int_{\{x:f(x)<0\}}f(x)\,dx$$
Usage
- Used to convert absolute-value integrals into ordinary integrals by splitting at the zeros of $$f(x)$$.
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CAT Formulas
Indefinite Integration
Integral of Absolute Value
Integral of Absolute Value
$$\int_a^b|f(x)|\,dx=\int_{\{x:f(x)\geq0\}}f(x)\,dx-\int_{\{x:f(x)<0\}}f(x)\,dx$$
Usage
- Used to convert absolute-value integrals into ordinary integrals by splitting at the zeros of $$f(x)$$.
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