MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
A function h is positive, increasing, and concave down on [0,6]. Decide whether each of the following approximations is less than or greater than the exact value of I=∫06h(x)dx:
L = Left Riemann sum with equal subintervals
M = Midpoint Riemann sum with equal subintervals
R = Right Riemann sum with equal subintervals
Provide your answer in the form: L: ___ ; M: ___ ; R: ___, using “< I” or “> I” to indicate each relationship.