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To apply Simpson’s rule for computation of irregular area, number of segments should be-
Question

To apply Simpson’s rule for computation of irregular area, number of segments should be-

A.

Of equal width and even number

B.

May be of varying width also

C.

Of equal width and odd number

D.

May be even or odd

Correct option is A


Simpson’s rule is a method used for numerical integration to compute areas under curves or irregular shapes. To apply Simpson’s rule, the area must be divided into an even number of segments, and the segments should have equal width. The rule works by approximating the area under the curve using parabolic arcs for each pair of intervals. If an odd number of segments is used, Simpson’s rule cannot be applied directly, and a different method is required for the remaining segment.

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