Question

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

Answer 1

`ln(x)ln(ln(x))-ln(x)+C`

Explanation:

`d/(dx)(ln(x)ln(ln(x)))=ln(ln(x))/x+1/x` so

`int ln(ln(x))/x dx = ln(x)ln(ln(x))-ln(x)+C`