Write a value


Write a value of $\int \frac{(\log x)^{n}}{x} d x$.


let $\log x=t$

Differentiating on both sides we get,

$\frac{1}{x} d x=d t$

Substituting above equations in $\int \frac{(\log x)^{n}}{x} d x$ we get,

$\int t^{n} d t$


$=\frac{(\log x)^{n+1}}{n+1}+c$

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