Some husbands try to impress their wives by lifting extremely heavy objects or other extraordinary feats of physical prowess.
That will never happen in the Quintanilla household in a million years.
But she was impressed that I broke an impasse in her research and resolved a discrepancy between Mathematica 4 and Mathematica 8 by finding the following integral by hand in less than an hour:
We now multiply the top and bottom of the integrand by . This is permissible because is defined on the interior of the interval — which is why I needed to adjust the limits of integration in the first place. I obtain
Therefore, the integral becomes