Putnam 1995 A2
Source:
June 29, 2014
Putnamcalculusintegrationcollege contests
Problem Statement
For what pairs of positive real numbers does the improper integral converge?
\begin{align}\int_{b}^{\infty}\left(\sqrt{\sqrt{x+a}-\sqrt{x}}-\sqrt{\sqrt{x}-\sqrt{x-b}}\right)\,\mathrm{d}x \end{align}