Question

find the area between the following curves: 3 square root x and y=x

Answer 1

first you need to set them equal. presumably you mean
\[y=\sqrt[3]{x}\] and
\[y=x\]

Answer 2

yes

Answer 3

then the limits of integration will be where they meet, namely at x = 0 and x = 1

Answer 4

in that interval
\[\sqrt[3]{x}>x\] so you integrate
\[\int_0^1\sqrt[3]{x}-xdx\]

Answer 5

i never bother with top and bottom; i just take the absolute value of the results