GATE_AE_2027_MOCK_02_Q15 GATE 2027 Aerospace Engineering All-India Master Mock 02 (Compressible Aerodynamics & High-Speed Propulsion) MCQ · 1 Mark
Engineering Mathematics • Numerical Methods • Roots of Equations & Numerical Integration

Simpson's $\frac{1}{3}$ rule approximates the integral of a function over an interval by passing what type of polynomial through each pair of subintervals?

(A) Linear polynomial (degree 1)
(B) Parabolic polynomial (degree 2)
(C) Cubic polynomial (degree 3)
(D) Quartic polynomial (degree 4)
Answer Key:
B

Step-by-Step Verified Solution

### Solution: Simpson's 1/3 rule fits a second-degree polynomial (quadratic/parabola) through three equally spaced points. Correct: B.
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