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Unformatted text preview: Rule for Integration If g is a differentiable function of x , then If u = g(x), then [ g(x) ] n g’(x)dx = [ g(x) ] n+1 n + 1 + C u n du = u n+1 n + 1 + C, n = 1 n = 1 Thm. 4.14 Change of Variables for Definite Integrals If the function u = g(x) has a continuous derivative on the closed interval [ a, b ] and f is continuous on the range of g, then a b f(g(x)) g’(x) dx = g(b) g(a) f(u) du Thm. 4.15 Integration of Even and Odd Functions Let f be integrable on the closed interval [ a, a ]. 1. If f is an even function, then a a f(x) dx = 2 a f(x) dx 2. If f is an odd function, then  a a f(x) dx = 0 Joke Time How do you catch a unique rabbit? “Unique” up on him! How do you catch a tame rabbit? The “tame” way!...
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 Fall '08
 JARVIS
 Calculus, Derivative, Integration By Substitution, dx, Thm., constant multiple

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