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OpenStudy (anonymous):
The Trapezoidal Rule and Simpson's Rule yield approximations of a definite integral ∫(b,a) f(x) dx based on polynomial approximations of f. What degree polynomial is used for each?
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OpenStudy (anonymous):
Simpson's Rule is based on the quadratic, which is 2nd degree. The Trapezoidal Rule is based on the line, which is 1st degree. If I've interpreted your question correctly, I think these are the answers you're looking for.
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