To the sum of the first and last ordinates, add twice the sum of the remaining odd ordinates and four times the sum of all the even ordinates. The total sum thus obtained is multiplied by one-third of the common distance between the ordinates and the result gives the required area. This rule of finding the area is called.
A)mid-ordinate rule
B)trapezoidal rule
C)average ordinate rule
D)Simpson's rule

Question

Quizplus · Accepted Answer

The described method is Simpson's rule, which is used for numerical integration to approximate the area under a curve. This rule involves taking the sum of the first and last ordinates, adding twice the sum of the remaining odd ordinates, and four times the sum of all the even ordinates, then multiplying by one-third of the common distance between the ordinates.

To the Sum of the First and Last Ordinates, Add