p-Integral Problem: An integral of the form where p stands for a constant, is called a
Chapter 9, Problem 22(choose chapter or problem)
p-Integral Problem: An integral of the form where p stands for a constant, is called a p-integral. For some values of the exponent p, the integral converges and for others it doesnt. Figure 9-10j shows an example for which the two graphs look practically identical but only one of the integrals converges. In this problem your objective is to find the values of p for which the p-integral converges and those for which it diverges. Figure 9-10j a. Show that Ip converges if p = 1.001 but not if p = 0.999. b. Does Ip converge if p = 1? Justify your answer. c. Complete the statement Ip converges if p ? and diverges if p ?.
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