Q000008: closed Newton–Cotes
| Integral | \(\displaystyle \int f(x)\,\mathrm{d}x\) |
| Notes | Order 1 closed Newton–Cotes is the trapezium rule Order 2 closed Newton–Cotes is Simpson's rule Order 3 closed Newton–Cotes is Simpson's 3/8 rule Order 4 closed Newton–Cotes is Boole's rule |
| References | Whittaker, Edmund and Robinson, G. The Newton–Cotes formulae of integration, in The Calculus of Observations: A Treatise on Numerical Mathematics, 1924. |
Interval
Order 1
Order 2
Order 3
Order 4
Order 5
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