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Integrate the following functions (1+log...

Integrate the following functions `(1+logx)^2/x`

Text Solution

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Let t = 1+logx. Then dt = 1/x dx.
` therefore int (1+logx)^2/x dx = int t^2dt`
= `t^3/3 +c = (1+logx)^3/3 +c`
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