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The values of a function \( f \) obtained for different values of \( x \) are shown in the table below.

Using Simpson’s one-third rule, approximate the integral \[ \int_0^1 f(x) \, dx \quad \text{(rounded off to 2 decimal places)}. \]

  • GATE ME - 2025
  • GATE ME
  • Engineering Mathematics
  • Numerical integration

The values of a function \( f \) obtained for different values of \( x \) are shown in the table below.

Using Simpson’s one-third rule, approximate the integral \[ \int_0^1 f(x) \, dx \quad {(rounded off to 2 decimal places)}. \]

  • GATE ME - 2025
  • GATE ME
  • Engineering Mathematics
  • Numerical integration