Mathematics · important
Comparison property for JEE
The fundamental theorem of calculus, properties of definite integrals
Formula
\[f(x)\ge g(x)\ \forall x\in[a,b] \implies \int_a^b f(x)\,dx\ge \int_a^b g(x)\,dx\]
Conditions: Functions integrable on \([a,b]\).
Bounding and sign of definite integrals.