Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 388
of a sum (5)involves a double integral. 174. Double integral with variablelimits. We may now extend the ideaof a double integral as follows: In-stead of taking the integral over arectangle, as in § 173, we may takeit over an area bounded by anyclosed curve (fig. 213) such that astraight line… … 372 MULTIPLE INTEGRALS the area bounded by the curve and others of which are onlypartly within that area. Then %% f& y-) Ax Ay, (1) where the summation includes all the rectangles which are whollyor partly within the curve, represents approximately the volumebounded by the plane XOY, the…
Geometry, Analytic · Calculus
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