Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 282
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. X+ldx— ■i ./■- Since—becomes infinite when x = 0 (fig. 165), w x1separate the integral into two, thus: J-i x- J-\ x- Jo .i-Had we carelessly… … r f(x) dx = area ADPCB, Let m = AX and M=AHbe respectively the smallestand the largest value assumedby f(x) in the interval AB.Construct the rectangle A BKHwith the base AB and the alti-tude AM— M. Its area is AB • AH=(b - a)M. Construct alsothe rectangle ABLNwith the base AB and the altitude AN—…
Geometry, Analytic · Calculus
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