Let f: [0, 1] to R be a continuous function. If f(t/10) are given for t = 0, 1, 2, 3, 4, 5 and f(t/20) are given for t = 11, 12, ...., 20, which quadrature formula will one use to utilize the given data for the computation of int0^1 f(x), dx?

(D) Trapezoidal rule or combination of Trapezoidal rule and Simpson's one-third rule

Q54Section I (Objective (Q1–Q80))54 of 80

Numerical Analysis — combining rules across two differently spaced grids

Let $f: [0, 1] \to R$ be a continuous function. If $f\left(\frac{t}{10}\right)$ are given for $t = 0, 1, 2, 3, 4, 5$ and $f\left(\frac{t}{20}\right)$ are given for $t = 11, 12, ...., 20$ , which quadrature formula will one use to utilize the given data for the computation of $\int_0^1 f(x)\, dx$ ?

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