1.

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

Answer»

Solution :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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