Question

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

Answer 1

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`