MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
A continuous function h satisfies h(x)<0 for 0<x<2 and h(x)>0 for 2<x<5. Which of the following statements about ∫05h(x)dx is necessarily true?
(a) It is necessarily positive.
(b) Its sign cannot be determined from the given information.
(c) It is necessarily zero.
(d) It is necessarily non-negative.