Mathematics

Problem

Evaluate each integral on the interval

[0,2]

and state which region has the larger area between its graph and the

x

-axis, as well as the difference in those areas. (i)

\displaystyle \int_{0}^{2} (4-x^{2})\,dx

(ii)

\displaystyle \int_{0}^{2} (x+2)\,dx