# Thread: Give the equation of each boundary curve of the region

1. ## Give the equation of each boundary curve of the region

Where

It's only worth 1 mark in past papers so it should be pretty simple.
I'n not what it wants however.

I've plotted it and know the boundary points are (-1,1) and (2,4).
But what are the boundary curves??

Is it x^2<=y<=x+2?

2. Originally Posted by Roland25
Where

It's only worth 1 mark in past papers so it should be pretty simple.
I'n not what it wants however.

I've plotted it and know the boundary points are (-1,1) and (2,4).
But what are the boundary curves??

Is it x^2<=y<=x+2?
on $[-1,2]$ - yes.

3. The limits of the integrals give you the boundary curves. If you draw the limits you can see that there is a region defined by y=x^2 and y=x+2, the limits on the other integral tell you the values of x for which x^2=x+2, so the boundary curves are y=x^2 and y=x+2

4. Hi

Have a look to this post :

http://www.mathhelpforum.com/math-he...integrals.html

The sketch has disappeared, here it is :