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The integral $\int\limits_{0}^{1} (5x^3 + 4x^2 + 3x + 2) dx$ is estimated numerically using three alternative methods namely the rectangular,trapezoidal and Simpson’s rules with a common step size. In this context, which one of the following statements is TRUE?

  1. Simpson’s rule as well as rectangular rule of estimation will give NON-zero error.
  2. Simpson’s rule, rectangular rule as well as trapezoidal rule of estimation will give NON-zero error.
  3. Only the rectangular rule of estimation will give zero error.
  4. Only Simpson’s rule of estimation will give zero error.
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