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Unformatted text preview: B. Find the general antiderivative of f ( x ) =  x  3 . C. Does the greatestinteger function f ( x ) = [ x ] (where [ x ] is dened as the greatest integer n satisfying n x ) have an antiderivative? Explain. D. (a) Show that if f is odd, then every antiderivative of f is even. (Hint: We must show that if f ( x )+ f (x ) = 0 for all x and F ( x ) = f ( x ) for all x , then F (x ) = F ( x ) for all x .) (b) Show that if f is even, and f has an antiderivative, then f has exactly one antiderivative that is odd. Please dont forget to write down on your assignment who you worked on the assignment with (if nobody, then write I worked alone), and write down on your timesheet how many minutes you spent on each problem (this doesnt need to be exact)....
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 Fall '11
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 Math, Calculus

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