Question: Let x0, x1 = (0, 1) and A0, A R. Suppose the quadrature formula L 1 log(x)p(x) dx = A0p(x0) + Ap(x1) is exact

Let x0, x1 = (0, 1) and A0, A R. Suppose the quadrature formula L 1 log(x)p(x) dx = A0p(x0) + Ap(x1) is exact for all polynomials or order at most 3. What system of equations does x0,x1, A0, and A satisfy?

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