Let . Two equal-width subintervals partition , and the height of each rectangle is…

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

Problem

Let

f(x)=3\sqrt{x}

. Two equal-width subintervals partition

[1,5]

, and the height of each rectangle is chosen to be

f(2)

and

f(4)

, respectively. Which value is the best estimate of

\displaystyle \int_{1}^{5} f(x)\,dx

obtained from these two rectangles? (a)

24.8

(b)

19.2

(c)

20.5

(d)

22.1