Mathematics Tripos Papers

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  • Part IB
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4.I.8F

Numerical Analysis | Part IB, 2005

Define Gaussian quadrature.

Evaluate the coefficients of the Gaussian quadrature of the integral

∫−11(1−x2)f(x)dx\int_{-1}^{1}\left(1-x^{2}\right) f(x) d x∫−11​(1−x2)f(x)dx

which uses two function evaluations.

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