Final answer:
The question relates to determining the values of p for which a mathematical integral is convergent, which involves understanding the convergence criteria for integrals. A specific integral is needed to provide a detailed response.
Step-by-step explanation:
The question "Find the values of p for which each integral converges?" involves recognizing and determining the conditions under which a mathematical integral is convergent. The question may relate to improper integrals, where the variable p plays a role in the integrand or the limits of integration. Calculating these values of p requires understanding the criteria for convergence of integrals, such as comparison tests or the p-test for convergence of series or integrals with infinite bounds. Unfortunately, without the specific integral provided, we cannot offer a step-by-step solution. However, in general, for an integral involving a power function like \(int x^{-p} dx\), the integral converges if p > 1. For other types of functions, different criteria for p must be applied, and typically involve examining the behavior at the bounds of the integral to ensure that the integral's value remains finite.