Evaluate

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- Jan 19th 2008, 02:15 PMliyiAnother double integral
Evaluate

- Jan 19th 2008, 05:11 PMTwistedOne151Reverse order
If we attempt to do the x integral first, we get an elliptic integral, so we reverse the order of integration:

Now, integrating with respect to y, we make the change of variables

(via a table of integrals)

Using the substitution

This is an improper integral, with the integrand undefined at both limits. The limit as does exist, but the limit as is infinite. A little work, however, could be used to do this integral (if it exists)

--Kevin C. - Jan 19th 2008, 05:18 PMTwistedOne151Addendum
The integral is finite: the antiderivative of the integrand is defined at v=1, and the limit as also exists and is finite.

--Kevin C. - Jan 19th 2008, 05:24 PMKrizalid