Chapter 4.3, Problem 14ES

To determine

The value of ${\displaystyle \underset{0}{\overset{2}{\int }}f\left(x\right)}dx$ using Simpson’s rule, if the value of the integral ${\displaystyle \underset{0}{\overset{2}{\int }}f\left(x\right)}dx$ using Trapezoidal rule is 5 and using Midpoint rule is 4.