Question

A curve is positive, increasing, and has upward concavity. The area under the curve is approximated using the rectangle midpoint method (M) and then again using the trapezoid method (T). Assuming the same number of subintervals is used in the two approximations, how do they and the actual area (A) compare?


A < M < T
T < A < M
M < A < T
A < T < M