Question about multiple integration
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?
Replies
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pratap singh, upendrado check the limits of integration once you have changed the order of integration. I could be the source of the problem you are facing..
the area that needs to be computed should be of the same bounded region irrespective of the change of order of integration; it being assumed that you are not making any calculation mistakes
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