Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 397
dxdy over the areaA CUD, and also find that area. 380 MULTIPLE INTEGRALS The area is the area of a quadrant of the ellipse less the area of thetriangle formed by the coordinate axes and the chord, and accordingly is \(Trab)- \ah= \ ah{ir-2). For the integrals the limits ofintegration with respect… … f fa ° ydxdy = — f°(- b°-x + dPz)dx Jo Jab-bx CpJo b2a. Therefore 2 6 3(*-2) 8(»-2) Ex. 2. Find the center of gravity of the area bounded by the two circlesr = a cos 0, r = b cos 6. (J> > a) It is evident from the symmetryof the area (fig. 221) that y = 0. As p is constant, the denominatorof…
Geometry, Analytic · Calculus
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