3. Demonstration of the property: Given 2 data points: (xo, yo) and (x1, yı) (a) Write out the Lagrange interpolation polynomial P¡(x): (b) Integrate the Lagrange polynomial P¡(x) over the interval [xo, x] and establish the trapezoidal rule.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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3. Demonstration of the property:
Given 2 data points: (xo, yo) and (x1, y1)
(a) Write out the Lagrange interpolation polynomial P:(x):
(b) Integrate the Lagrange polynomial P1(x) over the interval [xo, x1] and establish
the trapezoidal rule.
Transcribed Image Text:3. Demonstration of the property: Given 2 data points: (xo, yo) and (x1, y1) (a) Write out the Lagrange interpolation polynomial P:(x): (b) Integrate the Lagrange polynomial P1(x) over the interval [xo, x1] and establish the trapezoidal rule.
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