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November 28th, 2013, 09:18 PM   #1
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can't understand the proof of "Interchange of integration"

<Introduction to Calculus and Analysis>by courant (vol 2 page 81)
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November 28th, 2013, 09:20 PM   #2
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Re: can't understand the proof of "Interchange of integratio

if the last equation is right, do it mean u(x,a)=0 ?
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November 29th, 2013, 07:33 AM   #3
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Re: can't understand the proof of "Interchange of integratio

Quote:
Originally Posted by ittechbay
if the last equation is right, do it mean u(x,a)=0 ?
No, I think this old guy just meant that:

(by Newton-Leibniz formula), thus .
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November 29th, 2013, 04:20 PM   #4
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Re: can't understand the proof of "Interchange of integratio

Quote:
Originally Posted by stainburg
Quote:
Originally Posted by ittechbay
if the last equation is right, do it mean u(x,a)=0 ?
No, I think this old guy just meant that:

(by Newton-Leibniz formula), thus .
I know you said, I can't undersand the following equation
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November 29th, 2013, 06:02 PM   #5
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Re: can't understand the proof of "Interchange of integratio

The second equality holds because he has already said that:

,

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