Notice ->

Simpson's (1/3) rule uses quadratic polynomial to approximate function but still we get correct answer till cubic polynomials.

Because cubic polynomials are symmetric around the origin so in integration + error is canceled by - error during approximation.

Please correct me if i am wrong.

Simpson's (1/3) rule uses quadratic polynomial to approximate function but still we get correct answer till cubic polynomials.

Because cubic polynomials are symmetric around the origin so in integration + error is canceled by - error during approximation.

Please correct me if i am wrong.