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MAD4401 Quiz3 - ∑ is analytic What is the error in using...

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MAD 4401 Quiz 3 1. Suppose that p ( x ) is a polynomial of degree n or less. Show that p ( x ) dx a b = a i p ( x i ) i = 0 n where the right hand side of the equation is the Newton-Cotes approximation of the integral. 2. Suppose that f ( x ) = c i x i i = 0
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Unformatted text preview: ∑ is analytic. What is the error in using the Newton-Cotes approximation of its integral on an interval [ a , b ] . 3. What is the exact value of the integral 1 1 + x 2 dx − 2 2 ∫ ?...
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