Both parts of this question concern the integral I = ∫ 0 2 ( x − 3 ) 5 d x {\displaystyle I=\int _{0}^{2}(x-3)^{5}\,dx} .
(a) Write down the Simpson’s Rule approximation to I {\displaystyle I} with n = 6 {\displaystyle n=6} . You may leave your answer in calculator-ready form.
