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

2. I dont speak english completly. But I understand that you want find the ellipse area?

3. Too advanced Nacho, it's vector calculus, you'll probably cover this next year.

4. 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