Using a left Riemann sum with four equal subintervals

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

Problem

Using a left Riemann sum with four equal subintervals, a student found

1.75

as an approximation to

\displaystyle \int_{0}^{2} x^{2}\,dx

. Determine whether this approximation is an overestimate or an underestimate of the integral and briefly state why.