# green's theorem

• Dec 9th 2005, 02:42 AM
bobby77
green's theorem

the final answer I am getting is 8, but i dont know its correct or not
• Dec 9th 2005, 05:42 AM
CaptainBlack
Quote:

Originally Posted by bobby77

the final answer I am getting is 8, but i dont know its correct or not

Show us what you have done so far.

Tell us what Green's theorem is, and how that applies to the
function you are given.

RonL
• Dec 9th 2005, 05:55 AM
bobby77
Green's theorem
I have included greens theorem that is given in my book.Also I hv included my solution.
Thankyou.
• Dec 9th 2005, 06:07 AM
CaptainBlack
Quote:

Originally Posted by bobby77
I have included greens theorem that is given in my book.Also I hv included my solution.
Thankyou.

The region you are integrating over is not the interior of the
triangle.

You define the region by:

$-2\ <\ x\ <\ 2$ and $0\ <\ y\ <\ 2$,

which is a rectangle. I think (and you will have to check this) that what
you need is:

$-2\ <\ x\ <\ 2$ and $y\ <\ -|x|+2$.

RonL