Let f(x^2) be a polynomial. I would like to carry out the integration(adsbygoogle = window.adsbygoogle || []).push({});

\int_a^b f(x^2) dx

using quadrature rule. Suppose a and b > 0 and are arbitrary and the degree of f(x^2) is 2N.

I would like to know if there is a possibility to reduce the sampling points down to N/2?

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# Numerical integrations

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