MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
The function h is increasing on the interval [2,7]. A student partitions the interval at x=2,3,5,7 and approximates ∫27h(x)dx by summing rectangles whose heights are the values of h at the left endpoints of the subintervals.
Will the student’s estimate be less than, equal to, or greater than the exact value of the integral? Briefly state the correct comparison.