Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 279
bove the axisgiven by the definite integral f. ydx. portionof x is (i) It has also been noted that either of the boundary lines x= aor x = b may be replaced by a point in which the curve cuts OX.Here the element of integration ydx represents the area of arectangle with the base dx and the altitude… … where the element xdy repre-sents a rectangle with base xand altitude dy. Areas bounded in other waysthan these are found by express-ing the required area as the sum or the difference of areas of the above type, or by writinga new form of the element as illustrated in Ex. 2. Ex. 1. Find the area of…
Geometry, Analytic · Calculus
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