Mathematics · essential
Additivity over intervals for JEE
The fundamental theorem of calculus, properties of definite integrals
Formula
\[\int_a^b f(x)\,dx=\int_a^c f(x)\,dx+\int_c^b f(x)\,dx\]
Variables: \(c\) lies between \(a\) and \(b\).
Conditions: \(f\) integrable on the interval.
Breaking definite integrals at convenient points.