What is the minimum value of n that will guarantee the estimate of the integral below is accurate to within 0.01 if we use the trapezoid rule? ∫ 1 -1 (e 2x^2 )dx

What is the minimum value of n that will guarantee the estimate of the integral below is accurate to within 0.01 if we use the trapezoid rule? ∫ 1 -1 (e 2x^2 )dx

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What is the minimum value of n that will guarantee the estimate of the integral below is accurate to within 0.01 if we use the trapezoid rule? ∫ 1 -1 (e 2x^2 )dx

Explanation & Steps

Use error bound formula for the trapezoidal rule to determine the minimum value of n, which provides maximum error within the given limits:

                                                                    Error\:in\:T_n \leq \frac{M(b-a)^3}{12n^2}

Where, M is the maximum value of |f''(x)| over [a, b].

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