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Q76Section I (Objective (Q1–Q80))76 of 80

Numerical Analysis — exactness of Simpson's rule for a quadratic integrand

The integral ∫01(3x2+25) dx\displaystyle\int_0^1 (3x^2+25)\,dx is evaluated by Simpson's one-third rule with h=1/4h=1/4. The value of the integral so obtained is

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