What is the name of a theorem?

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S. Béatrice Marianne Ewalds-Kvist

Dear Susumu,

Check if this link helps you:

http://demonstrations.wolfram.com/TwoIntegralMeanValueTheoremsOfFlettType/

Susumu Osawa

Thank you for answering. But I cannot find the theorem I mentioned.

Yuri Borysovych Zelinskii

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.