• Nov 4th 2008, 03:30 AM
calculusgeek
Using Green's formula, evaluate the integral
C(x+y)-dx(x-y) dy, where
C is the ellipse

x^2/a^2+b^2+a^2=1

i no the area of an ellipse is piab but i must show this is the case in relation to the question im not sure how thsi is done!!!i no using greens formula for that integral that its -2 thus the final answer will be 2piab

howvere i have started by using jacobian to obtain abdudvwith th ellipse being u^2+v^2=1 howvere im unsure of whatlimits to put into the above integral abdudv to get pi can anyone help please it would be much appreciated!!!! thanks
• Nov 4th 2008, 03:47 PM
Nacho
I dont speak english completly. But I understand that you want find the ellipse area?
• Nov 4th 2008, 03:54 PM
Krizalid
Too advanced Nacho, it's vector calculus, you'll probably cover this next year.
• Nov 4th 2008, 08:21 PM
mr fantastic
Quote:

Originally Posted by calculusgeek
Using Green's formula, evaluate the integral
C(x+y)-dx(x-y) dy, where
C is the ellipse

x^2/a^2+b^2+a^2=1

i no the area of an ellipse is piab but i must show this is the case in relation to the question im not sure how thsi is done!!!i no using greens formula for that integral that its -2 thus the final answer will be 2piab

howvere i have started by using jacobian to obtain abdudvwith th ellipse being u^2+v^2=1 howvere im unsure of whatlimits to put into the above integral abdudv to get pi can anyone help please it would be much appreciated!!!! thanks