(Approximate Integration) Consider the function g(x) = sin(x²). (a) Use the Midpoint Rule with n = 6 intervals to approximate g(x) dx. (b) Find the necessary number of intervals n that guarantees that using the Midpoint Rule to ap- proximate | g(x) dæ will result in an error of at most 0.001. Note: You may use Desmos here, and the fact that g"(x) = 2 cos(x²) – 4x² sin(x²). %3D -

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