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Part BCSIR NET December 2024the-weight-belongs-to-the-exact-side-only

The weight belongs to the exact side only

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

  1. A.0
  2. B.1
  3. C.2
  4. D.3

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

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Related counterexample: Increasing the number of equally spaced interpolation nodes improves the approximation

More on this topic

The chapter behind this: Interpolation and numerical integration — free to read

From Numerical AnalysisInterpolation and numerical integration with error terms

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