Notes and examples in mechanics; with an appendix on the graphical statics of mechanism; (1903)
Church, Irving P. (Irving Porter), 1851-1931 · New York, J. Wiley & sons; [etc., etc.] · leaf 19
e ahove function of x, and substitute in it first, for a?, thevalue, a?^, which x assumes at the upper end of the series; andsecondly, substitute the value x^ of x at the lower end of theseries. The difference of the expressions so obtained is the desiredresult. (INoTE.—By anti-derivative we are to… … 10 NOTES AND EXAMPLES IN MECHANICS. omit the constant, knowing that it would cancel out in the sub-traction indicated.) 13. Example of the Foregoing.—We wish to find by calculusthe total moment of the homogeneous paraboloid of revolution inFig. 5 about the axis Y\ the axis of thesolid being…
