Use multiple application of the trapezoidal rule to numerically integrate : f(x) = = 400 x ² - 900 x² +675 x ²³ - 200 x ² + 25x +0.2 from 0 to 0.8 where n-6 Exact Estimated 1 = 1.6405 I= 1.5703 with an error of 4.2813% Compare with the multiple application Trapezoidal method, where n = 2. I= 1.0688 with an error of 34.85% Formula So f(x) dx = 4x [f(x₁) + 2 f (x₁) + 2f (X₂) + ... + 2f (Xn-1) + f(xn)] Ax= b-a Xi = a +iAx

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