Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 282
ke manner let f(x) become infinite at the upper limit,and the curve y =f(x) approach x = b as an asymptote. Thenthe area bounded by the curve, the axis of x, an ordinate x = a,and an ordinate near the asymptote x = b may approach adefinite value as the latter ordinate approaches the asymptote. Such… … a -Fig. 1G4 Failure to do this (Fig. 164)Similarly, f(x) may become infi-nite at the lower limit or at bothlimits. If it becomes infinite forany value c between the limits,the integral should be separatedinto two integrals having c for theupper and the lower limit respectivelymay lead to error.…
Geometry, Analytic · Calculus
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