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Mathematics, 03.03.2020 00:57 Jasten

Video Example EXAMPLE 3 (a) Use the Midpoint Rule with n = 10 to approximate the integral 1 0 ex2 dx. (b) Give an upper bound for the error involved in this approximation. SOLUTION (a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.) 1 0 ex2 dx ≈ Δx[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)] = 0.1 e0.0025 + e0.0225 + e0.0625 + e0.1225 + e0.2025 + e0.3025 + e0.4225 + e0.5625 + e0.7225 + e0.9025

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Video Example EXAMPLE 3 (a) Use the Midpoint Rule with n = 10 to approximate the integral 1 0 ex2 dx...
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