Six equal-width subintervals partition

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

[0,3]

. For each subinterval, a rectangle is drawn whose height is

h(x)

evaluated at the point halfway through that subinterval, where

h(x)=x^{3}

. Which of the following is the resulting estimate of

\displaystyle \int_{0}^{3} h(x)\,dx

? (a)

20.81

(b)

19.97

(c)

20.25

(d)

19.85