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Question
Integrate the following w.r.t. x: `(1 + log x)^2/x`
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Solution
Let I = `int (1 + log x)^2/x*dx`
Put 1 + log x = t
∴ `(1)/x*dx` = dt
∴ I = `int t^3*dt = (1)/(4)t^4 + c`
= `(1)/(4)(1 + logx)^4 + c`.
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