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Integrate the functions((logx)^2)/x...

Integrate the functions`((logx)^2)/x`

Text Solution

Verified by Experts

Let `I = int (logx)^2/x dx`
Let `logx = t => dx/x = dt`
Then, `I = int t^2 dt`
`=>I = t^3/3+c`
`=>I = (logx)^3/3+c.`
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