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:

In this series, I’ll explore different ways of evaluating this integral.So far in this series, I’ve shown that

To evaluate this last integral, I complete the square in the denominator. I first factor out of the denominator:

Next, I employ the substitution , so that . The endpoint of the integral do not change with this substitution, and so

I’ll continue with the evaluation of this integral in tomorrow’s post.

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*Posted by John Quintanilla on July 23, 2015*

https://meangreenmath.com/2015/07/23/how-i-impressed-my-wife-part-2d/

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