So how did the "first mathemeticians", who didn't have the calculus formulas, figure out the area under the curve? Well, they did it just like the chemists. He divided the area under the curve into tall thin rectangles, of width x, and took the average value of the 2 y values at the top, got the area of the rectangles, and summed them up.
While conceptually I have no problem with this explanation, please do not confuse the concept with the historical approaches to finding the area inside a curve. 
--
@/=map{[/./g]}qw/.h_nJ Xapou cets krht ele_ r_ra/;
map{y/X_/\n /;print}map{pop@$_}@/for@/

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In reply to Re^2: Empirically solving complex problems by fizbin
in thread Empirically solving complex problems by oakbox

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