Allied & ICAR Exam Bank • ALLIED_2765 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical integration – trapezoidal and Simpson's rule

Question Statement:

Simpson's $1/3$ rule for numerical integration approximates the integrand in each subinterval using a:

Options:

  • (A) Second-degree parabola (quadratic polynomial)
  • (B) Straight line (linear polynomial)
  • (C) Third-degree cubic polynomial
  • (D) Constant horizontal line

Answer Key:

A

Step-by-Step Solution & Explanation

Simpson's 1/3 rule fits a parabola across pairs of intervals (requires an even number of intervals).
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