M 408D Study Guide - Final Guide: Improper Integral
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Oliver (smo998) hw 07. 8 rusin (52440) Multiple-choice questions may continue on the next column or page nd all choices before answering. 10. 0 points converges, and if it does, compute its value: i = 4e. Find the total area under the graph of: i = 4e . 6 x4 for x 1: area = 2 correct, area , area = The total area under the graph for x 1 is an improper integral whose value is the limit t z t lim. 5 e x/4 dx is improper because of the in nite range of integration. Nite interval of integration and consider the limit lim n . I = lim n z n. Since e n/4 0 as n , the lim exists and n . 3x p(x2 + 9)3 dx oliver (smo998) hw 07. 8 rusin (52440) 2 is convergent or divergent, and if it is conver- gent, nd its value: i , i =
