Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 320
ion] .When Ax = o, this is modified to f(x)dx,h which brings us back to our integral symbol, for we havefound that this sum is actually equal to the definite integralof j(x)dx (namely, <j>(k) — <f>(h))f hence definite integra-tion is a summation. Art. 82. Let us see what is the further… … A D G L P QFig. 28. calling OA, h, and OP, k, and the equal distances AD,DG, etc., each Ax. Then AB = /(/*) DE= f(h+ Ax)GH =/(/* + 2 Ax) KP=f(h + nAx). Form rectangles by drawing parallels to the x-axis fromB, E, H, etc. The sum of these rectangles will be less than the area,ABRP, but can be made…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
