How to Evaluate the Integral of x^2/(1+x^6) from 0 to Infinity?

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Anabelle37
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Homework Statement



Evaluate the integral with respect to x from 0 to infinity when the integrand is x^2/(1+x^6), using complex integration techniques.

Homework Equations


The Attempt at a Solution



I have no idea where to start. Please help!
 
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Discussion

how about thinking about the poles of the function and considering contour integration?
 

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