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MaxManus
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Homework Statement
Solve
[tex] \int_{0}^{\infty} \frac{x^2}{(x^2+1)(x^2+4)} dx [/tex]
works here
http://www.codecogs.com/latex/eqneditor.php
using residues
Homework Equations
The Attempt at a Solution
Can I use residues here?
The contour intergral will be a quarter of a circle in the first quadrant and lines along the positive x- and y- axis of
[tex] \frac{z^2}{(z+i)(z-i)(x+2i)(z-2i)} [/tex]
But can I use Cauchy's Residue Theorem when I get divide by 0 in the contour? i and 2i is on the contour.
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