Write a value of `int1/(x\ (logx)^n)\ dx`

Explanation

Solution:

Given,

`\int 1 / x(\log x)^{n} d x`

Let, `\log x=t`

Differentiating both sides with respect to x,

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

`\Rightarrow d t=\frac{1}{x} d x `

`y=\int \frac{1}{t^{n}} d t`

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