Question

Find the area between the curves:
y=√x and y=x^2
Please show steps!

Answer 1

First find the intersection of the two functions: \[\sqrt{x}=x^{2}\] x=0 and 1
then integrate the difference of the two functions noting the one on top and the one on the bottom:
\[\int\limits_{0}^{1}\sqrt{x}-x^{2}dx\] this works out to be:1/3