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## Homework Statement

I'm working on an infinite series problem and need to find the antiderivative of 1/((x(lnx)^3).

## Homework Equations

u=lnx

## The Attempt at a Solution

I know I have to use the substitution u=lnx, but I still can't figure out what the answer is. I know the antiderivative of 1/((x(lnx)) is ln(lnx) but the third power in my problem is giving me trouble. Any advice? Thanks!