Integral of Absolute Value

Rarely Tested

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 $$f(x)$$.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.