What is the antiderivative of $ln(x)/x$ ?

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Answer 1 · 2016-07-10T01:00:32

A classic u-substitution problem.

$int (ln(x))/(x) dx = int 1/x * ln(x) dx$ , now let $u = ln(x)$ , then $du = 1/x dx$ .

Thus, $int (ln(x))/(x) dx = 1/2 (ln(x))^(2) + C$

What is the antiderivative of ln(x)/xln(x)/x?