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ExamsGATEEngineering Mathematics

Numerical integration using trapezoidal rule gives the best result for a single variable function, which is

  1. linear
  2. parabolic
  3. logarithmic
  4. hyperbolic

Correct answer: linear

Solution

The trapezoidal rule approximates the area under a curve by dividing it into trapezoids, which works perfectly for linear functions since they form straight lines. For linear functions, the trapezoidal rule provides an exact result, while for other types of functions, the approximation may introduce errors.

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