Worksheet: Numerical Integration: Simpson’s Rule

In this worksheet, we will practice approximating definite integrals using Simpson's rule and estimating the error when using it.

Q1:

Use Simpson’s rule with 𝑛 = 4 to estimate the arc length of the curve 𝑦 = 𝑒 between 𝑥 = 1 and 𝑥 = 3 . Give your answer to 5 decimal places.

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