Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 373
V?of which is y2 — — x. Along this parabola C0**-«-5fer^*-i ■u/i- Next, let us integrate along a path consisting of the two straightlines OMx and MXPV Along OMv y = 0 and dy = 0; and along M1PVx — xl and dx = 0. Hence the line integral reduces to .— f lx1dy = —x1yvJ o Finally, let us integrate… … Fig. 210 Therefore I, (x0, y0) ydx + xdyx2 + y2ydx + xdy (1 (tan- !■ cz + y1 r>dd=ex-< If the curve C does not pass around O, Qx will be the angle shown inthe figure (fig. 211). If, however, C is drawn around the origin, the finalvalue of 6 is 2 ir + 6V and the value ofthe integral is 2ir +…
Geometry, Analytic · Calculus
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