Let and on the interval

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

Problem

Let

f(x)=2x

and

g(x)=x^{2}+1

on the interval

[0,2]

. Which of the following statements is true about the areas of the regions bounded by the graphs of the functions and the

x

-axis on that interval? (a) The area under

f

exceeds the area under

g

\dfrac{2}{3}

. (b) The area under

g

exceeds the area under

f

\dfrac{2}{3}

. (c) The area under

f

exceeds the area under

g

\dfrac{4}{3}

. (d) The area under

f

exceeds the area under

g

2