I want to know the name of a theorem in Riemann integral. it is in the attached file.
Note that it is a theorem not of Lebeusgue integral but of Riemann integral, .
Dear Susumu,
Check if this link helps you:
http://demonstrations.wolfram.com/TwoIntegralMeanValueTheoremsOfFlettType/
Thank you for answering. But I cannot find the theorem I mentioned.
You can see
https://en.wikipedia.org/wiki/Riemann_integral
and
Cunningham, Jr., Frederick (1967). "Taking limits under the integral sign". Mathematics Magazine 40: 179–186. doi:10.2307/2688673.
Dear Yuiry,
Thank you for replying.
I can find the theorem in the document you mentioned.
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