Getting integral of a histogram!

ROOT
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To Rene Brune,
As reference to this link: https://root.cern.ch/root/roottalk/roottalk03/2211.html
I wonder if you noticed in this code that "xmin- axis->GetBinLowEdge(bmin) " can give 0 value since xmin and low edge number of bmin can be same or 0 for instance.

I can also refer the formula in here : https://www.hidemyass-freeproxy.com/proxy/en-ww/aHR0cHM6Ly9lbi53aWtpcGVkaWEub3JnL3dpa2kvSGlzdG9ncmFt
Thanks.

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TH1::Integral always uses “full bins” (i.e. at least the whole “bmin” is taken) so, it’s not a problem.

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I feel like the rule when finding the integral is not obeyed.  What do you think it refers when it says xmin and axis->GetBinLowEdge(bmin) separately?

Check the attachment and formula 5.38, please.
Thanks.       ![check_formula5_38|690x388](upload://iF3SKryGN2GrYwAN2LGW4y3Toyd.png)
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You know what I just tried that code I mentioned on a data, and the first deduction part from integral equals to 0 , and second deduction part from integral is equal to = h1->GetBinContent(bin_Upper) indeed.

Does “the way code calculates the integral” still make any sense? Nope. Integral is just double integral = h->Integral(bmin,bmax). However, he was , I guess, trying to deduce some background which only he, himself, understands.