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GATE 2025 PI – Question 43

Engineering Mathematics · Numerical Methods · 2 marks · Numerical answer

Simpson’s 1/3 rule with four equal subintervals gives $\int_1^3(x^2-2x)dx=n/3$. Find integer n.

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Correct answer: 2 to 2

Explanation

Simpson’s rule is exact for polynomials of degree at most three, including this quadratic. Thus the integral is $[x^3/3-x^2]_1^3=0-(-2/3)=2/3$. Hence **n = 2**.

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