Allied & ICAR Exam Bank • ALLIED_0107 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical integration – trapezoidal and Simpson's rule

Question Statement:

Simpson's $1/3^{\text{rd}}$ rule provides the exact integral for polynomials of degree up to:

Options:

  • (A) 3
  • (B) 1
  • (C) 2
  • (D) 4

Answer Key:

A

Step-by-Step Solution & Explanation

Simpson's $1/3^{\text{rd}}$ rule integrates polynomials up to degree 3 (cubics) with zero truncation error because its error term involves the 4th derivative.
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