Question about multiple integration
@aruwin-WQ7eeu
•
Oct 27, 2024
Oct 27, 2024
900
I have a question about integration.
Here I have the answer given by my teacher and my answer.
Question:
J = ∫∫D [(x-y)/(x+y)^3] dxdy
D = {(x,y) | 0 ≤x≤1, 0≤y≤1}
The answer I have says that J is inifinity, and hence undefined. It also says that at (x,y)=(0,0), f(x,y) is not continuous.
I did get infinity when I integrated in order of dydx but when I integrated in dxdy order, I got -1/2. How can this be when the 2 variables don't depend on each other?
Here I have the answer given by my teacher and my answer.
Question:
J = ∫∫D [(x-y)/(x+y)^3] dxdy
D = {(x,y) | 0 ≤x≤1, 0≤y≤1}
The answer I have says that J is inifinity, and hence undefined. It also says that at (x,y)=(0,0), f(x,y) is not continuous.
I did get infinity when I integrated in order of dydx but when I integrated in dxdy order, I got -1/2. How can this be when the 2 variables don't depend on each other?