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Question
Integrate the following functions w.r.t. x : `(logx)^n/x`
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Solution
Let I = `int (logx)^n/x.dx`
Put log x = t.
∴ `(1)/x.dx = dt`
∴ I = `int t^n dt`
= `(t^(n + 1))/(n + 1) + c`
= `(1)/(n + 1).(logx)^(n + 1) + c`.
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