3. Using the function below, estimate the integral from x, = 0.5 to x₁ = 3-5 using multiple application trapezoidal rule, Simpson's 1/3 rule, Simpson's 3/8 rule and Boole's rule for n = 8 segments. Fill in the table X 0.5 1 0.75 2 1 3 1.25 4 1.5 5 1.75 6 2 7 8 2.25 2.5 f(x) Trapezoidal Rule Simpsons 1/3 Rule 0.38775 1 0.78525 2 0.769 2 0.74908 0.81275 0.86503 0.769 0.48637 0.21775 f(x)= 1 = NNNNNN 2 2 2 2 2 1 1 4 2 4 2 4 2 |-+| 4 1 Simpson's 3/8 Rule 1 3 T-helsheh liha 3 Boole's Rule 7 32 12 32 7 32 12 32 7

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