Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.3 Triple Integrals, #31 · Multivariable Calculus · Multiple integrals

The trapezoidal rule estimates … as … times the sum of …

The trapezoidal rule estimates $\int_{0}^{1} \int_{0}^{1} \int_{0}^{1} f (x, y, z) d x d y d z$ as $\frac{1}{8}$ times the sum of $f (x, y, z)$ at 8 corners. This correctly integrates $x^{m} y^{n} z^{p}$ for which $m, n, p$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.3 Triple Integrals, #31

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