Allied & ICAR Exam Bank • ALLIED_0801 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical integration – trapezoidal and Simpson's rule

Question Statement:

Trapezoidal rule of numerical integration is exact for polynomials of maximum degree:

Options:

  • (A) 1 (linear polynomials)
  • (B) 2 (quadratic polynomials)
  • (C) 3 (cubic polynomials)
  • (D) 0 (constants only)

Answer Key:

A

Step-by-Step Solution & Explanation

Trapezoidal rule approximates the integrand with straight-line segments, making it exact for polynomials of degree $\le 1$.
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