1 votes 1 votes Simpson's rule for integration gives exact result when $f(x)$ is a polynomial of degree $1$ $2$ $3$ $4$ Numerical Methods gate1993 numerical-methods simpsons-rule easy out-of-gate-syllabus multiple-selects + – Kathleen asked Sep 13, 2014 • recategorized Apr 22, 2021 by Lakshman Bhaiya Kathleen 5.3k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Chhotu commented Nov 12, 2017 reply Follow Share 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. 0 votes 0 votes harypotter0 commented Oct 26, 2020 reply Follow Share out of syllabus now. 0 votes 0 votes Please log in or register to add a comment.
Best answer 2 votes 2 votes Answer: A, B, C Simpson's rule actually gives exact results when approximating integrals of polynomials up to cubic degree. Ref: http://mathworld.wolfram.com/SimpsonsRule.html Rajarshi Sarkar answered Apr 26, 2015 • selected May 3, 2015 by Rajarshi Sarkar Rajarshi Sarkar comment Share Follow See all 0 reply Please log in or register to add a comment.
