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Express each improper integral that follows as a sum of limits of proper definite integrals. Do not calculate any integrals or limits; just write them

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Express each improper integral that follows as a sum of limits of proper definite integrals. Do not calculate any integrals or limits; just write them down. 1) 1 2) (a) (3x - 1)-2/3 dx (b) dx o xInx (c) da (x - 2)2 For each power function f(x) that follows, use limits of definite integrals to determine whether fo f(x) dx and S1 f(x) dx converge or diverge. Find the values of those improper integrals which converge. f (x) = x3

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