Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 166
ays positive and that a < b. These restrictions may beremoved as follows: If f(x) is negative for all values of x between a and b, wherea < b, the graphical representation is as hi fig. 128. Here f(a)Ax = — the area of the rectangle EMJl^I), f(x^) Ax = — the area of the rectangle JM^M^BJ^,… … the algebraic sum of theareas bounded by thecurve y =f(x), the axisof x, and the ordinatesx = a and x = b, theareas above the axis ofx being positive andthose below negative. If a > b, Ax is negative, since Ax = The only change necessary in the above statement, however, is in the algebraicsigns,…
Geometry, Analytic · Calculus
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