Thread: question about integrating over an ellipse?

integrate f(x,y)=xy over the ellipse (x/4)^2 + (y/2)^2 which is less than or equal to 1 .
Do this by first changing variable, u= x/4 , v= y/2 .

Please help. Thanks !

Yes, that's all, now it's easy to check that and your region is the circle so the common polar transformation will do the job.

Originally Posted by Krizalid

Yes, that's all, now it's easy to check that and your region is the circle so the common polar transformation will do the job.

can u explain more please?

I don't know, from there it's clear.

I'd like to know what you don't get.