# Thread: Finding the area between two curves

1. ## Finding the area between two curves

"Find the area contained between the curves y=x^2-6x+4 and x+y=0"

My question is: Is there a way to tell which graph is the outer/top curve and which would be the inner/lower curve without having to draw a graph?

2. ## Re: Finding the area between two curves

$y = x^2 - 6x + 4$ and $x+y = 0$ intersect when $x + x^2 - 6x + 4 = x^2 -5x+4 = (x-1)(x-4)=0$. So whichever has the higher value of $y$ at $x=2$, for example is the top curve.