Question: Calculate M 4 for the integral I = 1 0 x sin(x 2 ) dx. (a) Use a plot of to show

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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