Prove that $underline{int_A}{f(x) dx} + underline{int_A}{g(x) dx} le underline{int_A}{[f(x) + g(x)] dx}$
Question: Let $f,g:Atomathbb{R}$ bounded in the set $A$. Prove that a) $$underline{int_A}{f(x) dx} + underline{int_A}{g(x) dx} le underline{int_A}{[f(x) + g(x)] dx}\le …