# Simpson Rule of Numerical Integration

Simpson method is a second degree Newton-Coates formula of numeric integration which uses three consecutive division points in a partition to construct parabolas. Then the integral is approximated numerically in pieces by these parabolic pieces. The construction requires the partitioning into even number of pieces. If n is even then Simpson rule formula of numeric integration of over is given by
where and is the partition of .
For more on Simpson Rule check my online book
"Flipped Classroom Calculus of Single Variable"
https://versal.com/learn/vh45au/

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