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Integrate the following functions 1/(x(l...

Integrate the following functions `1/(x(logx)^m , xgt0`

Text Solution

Verified by Experts

Let logx = t. Then dt = 1/x dx`
therefore `int 1/(x(logx)^m0 dx = int 1/t^m dt`
= `t^(-m+1)/(-m+1) +c = t^(1-m)/(1-m) +c`
`(logx)^(1-m)/(1-m) +c`
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