Consider the quadrature formula ₋ |x|f(x)dx ≈ (1/2)(f(−1) + f(1)). Then the degree of precision (also known as order of exactness) of the quadrature formula is
Part BCSIR NET December 2024the-weight-belongs-to-the-exact-side-only
The weight belongs to the exact side only
Related counterexample: Increasing the number of equally spaced interpolation nodes improves the approximation
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The chapter behind this: Interpolation and numerical integration — free to read
From Numerical Analysis › Interpolation and numerical integration with error terms