QuestionReportMathematics Question on Integration by PartsThe value of ∫ln x(1+ln x)2dx\int \frac{ln\,x}{(1+ln\,x)^2}dx∫(1+lnx)2lnxdx=?AnswerThe value of ∫lnx1+lnx2dx=xlnx+c∫\frac{lnx}{1+lnx} 2dx = \frac{x}{lnx}+c∫1+lnxlnx2dx=lnxx+c