MAT 1322M1 Winter2005 - MAT 1322 Winter 2005 SOLUTIONS TO...

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MAT 1322, Winter 2005 SOLUTIONS TO TEST 1 (Version 1) 1. [2 points, 5.10 #17] Determine if the integral 0 xe 3 x dx is convergent or divergent and evaluate if it is convergent. Solution . By parts: u = x, v = e 3 x , u = 1 , v = 1 3 e 3 x 0 xe 3 x dx = 1 3 xe 3 x + 1 3 e 3 x dx 0 = 1 3 xe 3 x 1 9 e 3 x 0 = 0 + 1 9 . = 0 . 11
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