Calculate M 4 for the integral I = 1 0 x sin(x 2 ) dx.

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Calculate M₄ for the integral I = ∫¹₀x sin(x²) dx.

(a) Use a plot of ƒ" to show that K₂= 3.2 may be used in the Error Bound and find a bound for the error.
(b) Evaluate I numerically and check that the actual error is less than the bound computed in (a).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 25, 2023 08:29 AM

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Calculate M 4 for the integral I = 1 0 x sin(x 2 ) dx.

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Let fx x sinx Divide 0 1 into four subintervals of length Ax 10 ...View the full answer

Calculus

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