Let I = 1 0 xp ln xdx. (a) Show that I diverges for p = 1. (b) Show that if p = 1, then
Chapter 7, Problem 96(choose chapter or problem)
Let I = 1 0 xp ln xdx. (a) Show that I diverges for p = 1. (b) Show that if p = 1, then xp ln xdx = xp+1 p + 1 ln x 1 p + 1 + C (c) Use LHpitals Rule to show that I converges if p > 1 and diverges if p < 1. 97
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