Find Indefinite Integral of dx/(x(x^4+1)). I think that Im

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Find Indefinite Integral of dx/(x(x^4+1)). I think that Im complicating it too much. I moved the dx out making it 1/(x(x^4+1))dx than 1/(x^5+x)dx. I think i have to use formula indef integral of dx/(x^2+a^2) = 1/a(tan^-1(x/a)) but im stuck i don't know what to do next. I would love some advice! Thnx

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