Determine the value of ∫01x5−1lnxdx\int_{0}^{1} \frac{x^5-1}{\ln x} dx∫01lnxx5−1dx.
ln(6)\ln(6)ln(6)
ln(5)\ln(5)ln(5)
ln(1)\ln(1)ln(1)
ln(2)\ln(2)ln(2)