Chapter 8, Problem 115RE

Best approximation Let $I={\displaystyle {\int }_0^1\frac{x^2-x}{\ln x}dx}$. Use any method you choose to find a good approximation to I. You may use the facts that $\underset{x\to 0^{+}}{\lim }\frac{x^2-x}{\ln x}=0$ and $\underset{x\to 1}{\lim }\frac{x^2-x}{\ln x}=1$.