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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.8 Numerical Integration, #4 · Calculus · Integrals

One way to compute … is by averaging

One way to compute $T_{n}$ is by averaging $\frac{1}{2} (L_{n} + R_{n})$ . Another way is to add $\frac{1}{2} y_{0} + y_{1} + \dots + \frac{1}{2} y_{n}$ . Which is more efficient? Compare the number of operations.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.8 Numerical Integration, #4

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