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Which ONE of the following options is the closest approximation to the value of the given definite integral?
\[ \int_0^1 e^{-x^2} dx \]
Note: Use numerical integration
  • GATE PI - 2026
  • GATE PI
  • Engineering Mathematics
  • Integration by trapezoidal and Simpson’s rules

A function $f(x)$, that is smooth and convex-shaped (concave downward) on the interval $(x_l,x_u)$ is shown. The function is observed at an odd number of regularly spaced points. If the area under the function is computed numerically, then 

  • GATE CE - 2023
  • GATE CE
  • Engineering Mathematics
  • Integration by trapezoidal and Simpson’s rules
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