Thanks for the response Mario, I see the link between the theorems now. I 
proved iocmbl as I think I need it but it's fine for it to stay in my math 
box if no one else is interested :)

Benoit, these sound like interesting suggestions. I have used itexp in 
areaquad so it is not super simple to change it however it is also not so 
bad. Now is the time to make changes if it can be strengthened. Replacing 
NN with NN0 I think should be quite simple. Though I think the case of n = 
0 is covered by itgconst <http://us.metamath.org/mpegif/itgconst.html> it 
will be nice to make itexp a little more general.

With putting the theorem in deduction form with "( ph ->" how does making 
that change work? Would I need to replace almost all theorems in the text 
so they begin with "( ph ->" or is there some way of just changing the 
beginning and the end? Sounds like it could be quite a lot of work.

Re names I am willing to make the change, I think exp for exponential is a 
bit confusing in this context. Does anyone else have input? One of the 
reviewers suggested using the word monomial so maybe itmon is possible, 
itpow is fine or something else? Using exp does match with itgsinexp 
<http://us.metamath.org/mpegif/itgsinexp.html>, though that is only in 
Glauco's math box. I looked for the theorem of the integral of e^x but 
couldn't find it :(

As for a general theorem that sounds nice, I would like to do more calculus 
stuff, however it will have to wait until I have finished this triangle 
stuff at least. If anyone else wants to take it on feel free :)


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