Question

Find the area between the curves y = 2x and y= x^2

Answer 1

did you find where they intersect?

Answer 2

2x = x^2 , 2x-x^2 = 0, then solve for x ?

Answer 3

that, or solve it with your eyeballs

Answer 4

pretty clear they intersect at \(x=0\) and at \(x=2\) right?

Answer 5

yeah~

Answer 6

is it also clear that on that interval \(2x>x^2\) ?

Answer 7

yes

Answer 8

then your last job is to find
\[\int_0^2(2x-x^2)dx\] and you are done

Answer 9

oh, ok thanks!

Answer 10

yw