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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 280

An illustration from Analytic geometry and calculus, 1917, leaf 280
ion of the curve. More generally, if the equation of the curve is in the parametric form, we replace both x and y by their values in terms of the independent parameter. This is a substitution of a new variable, as explained in § 118, and the limits must be correspondingly changed. Ex. 3. Let the… … Fig. 159 264 APPLICATIONS OF INTEGRATION 126. Infinite limits or integrand. If the curve extends in-definitely to the right hand, as in figs. 160-1G2, it is possibleto consider the area bounded by the curve, the axis of as, and afixed ordinate x = a, the figure being unbounded at the righthand.…

Geometry, Analytic · Calculus

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