What can you say about the area under each function on the two cards below, between \(x=1\) and \(x=2\)?

Which is greater?

(a) \[f(x)=\left(4-x^2\right)^{\frac{1}{2}}\] |
(b) |

What’s the same and what’s different about these two functions?

How might this affect your approach if you wanted to calculate the area under each?