GATE ME 2016 Set 2 — Question 15

MCQ+1 / -0.33EasyTrapezoidal & Simpson's RulesNumerical MethodsEngineering Mathematics

Engineering Mathematics → Numerical Methods → Trapezoidal & Simpson's Rules

Last updated 5 September 2026

Question

Numerical integration using trapezoidal rule gives the best result for a single variable function, which is

Correct answer (A) linear Solution The trapezoidal rule approximates the area under a curve by a straight line segment (a first-degree polynomial). Therefore, it is exact for polynomials of degree 1, which are linear functions. For higher-degree functions like parabolic (degree 2), it introduces an error. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

Review answer and solution without JavaScript

Interactive answer checking needs JavaScript. The published solution is available below.

Correct answer (A) linear Solution The trapezoidal rule approximates the area under a curve by a straight line segment (a first-degree polynomial). Therefore, it is exact for polynomials of degree 1, which are linear functions. For higher-degree functions like parabolic (degree 2), it introduces an error.

Continue learning with Success Tracker

Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans

PYQs with solutions: Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts: Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support: Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.