A continuous function is concave up on the interval

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A continuous function

g

is concave up on the interval

[2,7]

. Will a midpoint Riemann sum that uses equal subintervals over this interval be an underestimate or an overestimate of

\displaystyle\int_{2}^{7} g(x)\,dx

? Briefly justify your answer.