# How to solve integral with natural logarithm and product I am trying to solve the following integral: int(x)/(4) ln(4/x)

How to solve integral with natural logarithm and product
I am trying to solve the following integral:
$\int \frac{x}{4}\mathrm{ln}\left(\frac{4}{x}\right)$
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Hamnetmj
setting $\frac{x}{4}=t$ we get
$x=4t$
and
$dx=4dt$
thus our integral will be
$-4\int t\mathrm{ln}\left(t\right)dt$
we can be solved by parts, ok, the result should be
$-4\left(\frac{1}{2}{t}^{2}\mathrm{log}\left(t\right)-\frac{{t}^{2}}{4}\right)+C$
sorry for posting to late