I have a book that has the following integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]6\int_\frac{-1}{2}^\frac{1}{2}\int_\frac{-1}{2}^\frac{1}{2}\frac{1}{r^2}a_r\cdot a_z dx dy[/tex]

This integral gets converted to:

[tex]3\int_\frac{-1}{2}^\frac{1}{2}\int_\frac{-1}{2}^\frac{1}{2}\frac{dx dy}{(x^2 + y^2 + 1/4)^\frac{3}{2}}[/tex]

(z = 1/2 by the way...)

I understand how it got to that point, but I'm having trouble understanding how it gets to this integral, I guess I don't understand the integration involved:

[tex]3\int_\frac{-1}{2}^\frac{1}{2}(\frac{x}{(y^2 + \frac{1}{4})(x^2 + y^2 + 1/4)^\frac{1}{2}})\|_\frac{-1}{2}^\frac{1}{2}dy[/tex]

can someone explain how it gets to there?

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# Trouble with an integral

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