Find $\int l n x d x$

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Solution

To integrate this, we use a trick, rewrite the integrand (the expression we are integrating) as 1. ln x. We then let v = ln x and $\frac{d u}{d x} = 1$
Hence $\int l n x d x = x l n x - \int x (\frac{1}{x}) d x$
$= x l n x - \int d x$
$= x l n x - x + c o n s t a n t$

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