Math Problem Statement

For what values of p does the following integral converge? ∫[1, ∞] 1 / (√x)^p dx

Solution

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Q4. (10 points) For what values of p does the following integral converge?

It appears you are asking about the convergence of a specific integral. However, the integral expression itself doesn't seem to be visible in the text extracted from the image. Could you kindly provide the full integral expression or clarify the integral you're referring to?

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Math Problem Analysis

Mathematical Concepts

Calculus
Improper Integrals
Convergence of Integrals

Formulas

Improper integral ∫[a, ∞] f(x) dx
Power rule for integration

Theorems

p-test for convergence of integrals

Suitable Grade Level

Undergraduate Calculus