Question

How do you integrate 1/(xln(x^3))dx?

Answer 1

1/(xln(x^3))
= (3x*ln(x))^(-1)

Answer 2

Nice question.........

First, before integrating, I would rewrite the denominator as
3x ln(x)

so you can pull a 1/3 out of the integral.

Now, let u = ln x; du = dx/x

the rest is sraightforward.

Answer 3

Thank you both so much! I didn't realize that I could still pull that 3 out of the exponent if the parentheses were there.