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The quadrature formula \[ \int_0^2 x f(x) \, dx \approx \alpha f(0) + \beta f(1) + \gamma f(2) \] is exact for all polynomials of degree \( \leq 2 \). Then \( 2 \beta - \gamma = \underline{\hspace{1cm}} \).

  • GATE MA - 2021
  • GATE MA
  • Numerical Analysis
  • Numerical integration