Theorem ●If fand g are integrable on[a,b]and fx)≥0for all x in [a,b],then ∫f(x)≥0 ●If fand g are intgraable on[a,b]and fx)≥g(x) for all x in [a,b],then nfw≥fg) Theorem ⚫ If f and g are integrable on [a,b] and f(x)≥0 for all x in [a,b], then ⚫ If f and g are intgraable on [a,b] and f(x) ≥ g(x) for all x in [a,b], then ( ) 0 b a f x dx   ( ) ( ) b b a a f x dx g x dx   