Write a value of `int(1+logx)/(3+xlogx)\ dx`

Explanation

Solution:

Given,

`\int(1+\log x) /(3+x \log x) d x`

Let `x(\log x)=t`

Differentiating both sides with respect to x,

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

=`1+\log x `

`\Rightarrow \{dt}=(1+\log \{x}) \{dx}`

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