Find the constants xo, X1, and c so that the quadrature formula 1 dx = 5 (xo) +c1 f (x1) f (x) has the highest possible degree of precision.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
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20.
Find the constants xo, X1, and c so that the quadrature formula
1
f (x) dx
5f (xo) + c1 f (x1)
= -
has the highest possible degree of precision.
Transcribed Image Text:20. Find the constants xo, X1, and c so that the quadrature formula 1 f (x) dx 5f (xo) + c1 f (x1) = - has the highest possible degree of precision.
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