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Estimate the numerical value of ∫∞ e–x2 dx by writing it as the sum of ∫4 e–x2 dx and ∫∞ e–x2 dx. Approximate the first integral by using Simpson’s Rule with n = 8 and show that the second integral is smaller than ∫∞ e–4x dx, which is less than 0.0000001. |
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