Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 322
y the integration of these, we shall have thecorresponding integrals, which will be the measure of surfacesor solids, as the case may be. To commence with the most simplecase, we require the area of the spaceNPM, one side of which is hounded hythe curve NM, o% the supposition thatthe curve is a… … 314 INTEGRAL CALCULUS. Whence ydy=pdx, ydx=:^^—^. When a;=0, y=0, and therefore (7=0, and the whole integral That is, the area of any portion of the parabola bounded bythe axis and ordinate is measured ly two-thirds of the rectanglemade by the abscissa and ordinate. The same was shown in analytical…
Geometry, Analytic · Calculus
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