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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.8 Numerical Integration, #25 · Calculus · Integrals

Find … so that … equals … at … (three equations)

Find $a, b, c$ so that $y = a x^{2} + b x + c$ equals $1, 3, 7$ at $x = 0, \frac{1}{2}, 1$ (three equations). Check that $\frac{1}{6} \cdot 1 + \frac{4}{6} \cdot 3 + \frac{1}{6} \cdot 7$ equals $\int_{0}^{1} y d x$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.8 Numerical Integration, #25

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