For a continuous function that is strictly increasing on
MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
For a continuous function that is strictly increasing on [a,b], a right–endpoint Riemann sum with n equal-width subintervals is used to approximate ∫abf(x)dx. Which of the following best describes the sign of the approximation error?
(a) The approximation is greater than the exact value of the integral.
(b) The approximation is greater than the exact value only if f is concave down; otherwise it is less.
(c) The approximation is less than the exact value of the integral.
(d) The approximation may be greater or less than the exact integral depending on the number of subintervals n.