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integrate 1/ (x^7 - x) w.r.t. x

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integrate 1/ (x^7 - x) w.r.t. x
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the solution is by adjustment
take the x out to get the form x[(x^n) -1] in the dr.
introduce x^(n-1) in the nr. and dr.
and then use t = x^n as substitution

answer and  some steps are given below

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