Monday Math 78

Find .


Here, we use integration by parts, with and ; then and
Now, using and , integration by parts tells us:

.

Now, we proved here that , so the above is just this for the case n=2, so since and (see here), then our integral is

.

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One Response to “Monday Math 78”

  1. Monday Math 80 « Twisted One 151’s Weblog Says:

    […] , so that ; v=0 when r=1, and v→∞ when r=0. Thus, our integral becomes And we found here that this equals […]

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