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Evaluate: int(x^4+1)/(x^6+1)dx...

Evaluate: `int(x^4+1)/(x^6+1)dx`

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`I=int frac{x^{4}+1}{x^{6}+1} d x`
`implies int frac{(x^{4}+1)}{(x^{6}+1)} times frac{(x^{2}+1)}{(x^{2}+1)} d x`
`implies int frac{x^{6}+x^{2}+x^{4}+1}{(x^{6}+1)(x^{2}+1)} d x`
`implies int frac{(x^{6}+1)+x^{2}(x^{2}+1)}{(x^{6}+1)(x^{2}+1)} d x` ...
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