In this video I go over another example on improper integrals and this time solve for the values of p in the integral 1/xp from x = 1 to x approaches infinite, that make this integral convergent. Please note that in the Example 1 of the example video series, see video link below, I have already showed that for the case of p = 1, the integral diverges. In this example I show that the integral converges to 1/(p - 1) for p is greater than 1 but diverges for p is less than 1.
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Improper Integrals: Example 4
For what values of p is the following integral convergent?
Solution:
