Linearity of definite integration for JEE

Formula

\[\int_a^b \big(\alpha f(x)+\beta g(x)\big)\,dx=\alpha\int_a^b f(x)\,dx+\beta\int_a^b g(x)\,dx\]

Variables: \(\alpha,\beta\) are constants.

Conditions: \(f,g\) integrable on \([a,b]\).

Splitting and combining definite integrals.