a. Determine the trigonometric interpolating polynomial S4(x) of degree four for f (x) =

Chapter 8, Problem 8.6.4

(choose chapter or problem)

a. Determine the trigonometric interpolating polynomial S4(x) of degree four for f (x) = x 2 sin x on the interval [0, 1]. b. Compute 1 0 S4(x) dx. c. Compare the integral in part (b) to 1 0 x 2 sin x dx.

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