Elements of the Differential And Integral Calculus With Examples And Applicati
Elements of the Differential And Integral Calculus With Examples And Applicati
James M James Morford Taylor
The book Elements of the Differential And Integral Calculus With Examples And Applicati was written by author James M James Morford Taylor Here you can read free online of Elements of the Differential And Integral Calculus With Examples And Applicati book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Elements of the Differential And Integral Calculus With Examples And Applicati a good or bad book?
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F'(x) = e (a+z)2 [2(a + a?) sins + cos a:]. 24. F-kg|1og(a +&*>)]. Dy^-—-^^——. (a -f- oa;") log (a -f- ox") 25. Y = log ^f-Han-^. *y = T^' or • -i3 +2 a;, da; 26. Y = sin ' — ■ dy = — — Vl3 Vl-Sa. '-ar 2 27. Y = e xX tan" a a;. ^ = e^T— —, + as x tan- 1 aj(l + logaj) dx [_1 + ar *-y 28. A? = c~T. ^^ = loga;; . :y= x ; . %&=, lo g* . Y 1+loga; dx* (1 -flog a;) 2 42 DIFFERENTIATION. X 2 29. Y = 1 + 1 + 1 + etc. To infinity. X 2, xdx y = -—-; . \dy=± 1 + y ' Va 2 + i i / /a 5 X, -1% dy 1 \x + a a ...da; a; \ a; — a Q1 . Vl - x 2 + a;V2 dy V| 31 M = IO cr — ===: • — = ' Vl-a, - 2 *» (Vl-ar+a;V^)(l-^) 32. Y = log^— = rl_^ ^Vl + a, - 2 — x 33 2/ = |log^l±^+^ = log( Vl + *? + a?) ; Vl + ar — * . Dy _ 1 ' ' dx Vl+a, - 2 . (l + af)i . , . _i dy VT+x dx (l + a;)(l + ar°) CHAPTER III. INTEGRATION. 58. A function or variable is called the Integral of its differ- ential. Thus, a? is the integral of Sxrdx ; and f(x) + C, C being any constant, is the integral of f'(x)dx.
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