Numerical Integration Scheme: Interpolating Polynomials Explained

[f00lishroy]

I am struggling to understand interpolating polynomials and their errors. I have a problem off of a study guide here:
http://terminus.sdsu.edu/SDSU/Math541_f2012/Resources/studyguide-mt01.pdf

View attachment 810

I understand that the composite simpsons rule is only exact for polynomials up to order 3, with error term proportional to h⁴. Is this the same case? A detailed explanation would be much appreciated, as I mentioned I'm having a hard time grasping this subject. Thank you

-L

 

[MarkFL]

Hello Lwooley90,

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