If we use Simpson’s Rule to approximate the integral ∫ 1 2 x ( 1 − ln x ) d x {\displaystyle \int _{1}^{2}x(1-\ln x)dx} , how large should n {\displaystyle n} be so that the error is not larger than 1 900000 {\displaystyle {\frac {1}{900000}}} ?
