Question

Which method tests convergence of the integral below?

$$\int_{0}^{25} \frac{1}{\sqrt{x}}\,dx$$

Accepted Answer

replace the singular lower endpoint by t, then take the limit as t approaches 0 from above

Answer

cancel divergent terms using a principal value at the endpoint

Answer

substitute the singular endpoint directly into the antiderivative

Answer

use a limit approaching 0 from below, outside the interval of integration

Practice: Integration - Improper Integral Method