Question: For the integral in Exercise 11, apply the midpoint rule with n = 4 and Simpsons rule with n = 8 to verify the formula
For the integral in Exercise 11, apply the midpoint rule with n = 4 and Simpson’s rule with n = 8 to verify the formula S = (2M + T)/3.
Exercise 11
In Exercises, use n = 4 to approximate the value of the given integrals by the following methods

dx x X
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