(A) Estimate $\ln 2 = \int _ { 1 } ^ { 2 } \frac { 1 } { x } d x$

Essay

(a) Estimate $\ln 2 = \int _ { 1 } ^ { 2 } \frac { 1 } { x } d x$ using Simpson's Rule with n = 4.(b) Estimate the error of the approximation in part (a).(c) How large should we take n to guarantee that the estimate by Simpson's Rule is accurate to within 0.001?