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I'm looking for a nice reference for the "Leibniz integral rule". Do you know one?

Thank you

Hagen von Eitzen
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alemou
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2 Answers2

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Might be a bit late, but one reference that looks nice is

Differentiation Under the Integral Sign

Harley Flanders

The American Mathematical Monthly , Vol. 80, No. 6 (Jun. - Jul., 1973) , pp. 615-627

Published by: Mathematical Association of America

Article DOI: 10.2307/2319163

Article Stable URL: http://www.jstor.org/stable/2319163

Avaiable at jstor

iiqof
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I think this is what your'e looking for

user1337
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  • yes, but do you know a book or a article where I can find it? I'm interested in the particular case of integrating w.r.t a measure? – alemou Jul 12 '13 at 10:39
  • There is a reference at the end of the wikipedia page. Also the theorem is discussed in Rudin's principles of mathematical analysis (no measures are mentioned though) – user1337 Jul 12 '13 at 11:26
  • thank you, you are right neither Rudin or the wiki's page reference mention measures. – alemou Jul 12 '13 at 11:31
  • I gave a -1 because Wikipedia is certainly not a nice reference to quote. – Felix Crazzolara Apr 19 '21 at 16:49