Earlier in this series, I gave three different methods of showing that

Using the fact that

is independent of

, I’ll now give a fourth method.

Since

is independent of

, I can substitute any convenient value of

that I want without changing the value of

. For example, let me substitute

:

So that I can employ the magic substitution , I’ll divide the interval of integration into two pieces and then perform the substitution on the second piece:

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

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*Posted by John Quintanilla on August 14, 2015*

https://meangreenmath.com/2015/08/14/how-i-impressed-my-wife-part-5c/

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