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Integral of (1+x^4) / ( 1 + x^6) . dx

I have reduced it to a form of

Integral of 2.sqrt(tantheta) / ( 1 + tan^3 theta ) over dtheta where x^2 = tantheta.

However I cannot reduce it further. How do I proceed ? In general, how do I proceed given a problem of the form of finding the integral of two polynomials when neither is a simple quadratic or factorized ?

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# Ratio of two polynomial functions - integral

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