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#1 2007-10-27 10:50:15
- Sekky
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- Registered: 2007-01-12
- Posts: 181
Reversing the Order of Integration
Can somebody please explain to me algebraically how to generalise reversing the order of integrals?
Last edited by Sekky (2024-06-24 08:09:56)
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#2 2007-10-27 13:45:09
- George,Y
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- Registered: 2006-03-12
- Posts: 1,379
Re: Reversing the Order of Integration
It doesn't matter whether you finish a map puzzle row by row or column by column (Imagine you can do that).
X'(y-Xβ)=0
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#3 2007-10-27 20:06:39
- Sekky
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- Registered: 2007-01-12
- Posts: 181
Re: Reversing the Order of Integration
Maybe my question isn't clear.
How do you reverse this integral?
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#4 2007-10-29 05:16:42
- George,Y
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- Registered: 2006-03-12
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Re: Reversing the Order of Integration
I have no idea. My explaination is only to the constant integration region (The fixed rectangle).
X'(y-Xβ)=0
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#5 2007-10-29 09:09:51
- Ricky
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- Registered: 2005-12-04
- Posts: 3,791
Re: Reversing the Order of Integration
The theorem is known as Change of Variables. Here is a link to a proof:
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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