GATE CE 2018 Set 2 — Question 47

NAT+2 / -0EasyLine IntegralsVector CalculusEngineering Mathematics

Engineering Mathematics → Vector Calculus → Line Integrals

Last updated 5 September 2026

Question

\int_C \mathbf{F}(\mathbf{r}) \cdot d\mathbf{r}

\mathbf{F}(\mathbf{r}) = x^2 \mathbf{i} + y^2 \mathbf{j}

Review answer and solution without JavaScript

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

\mathbf{F}(\mathbf{r}) = x^2 \mathbf{i} + y^2 \mathbf{j}

Continue learning with Success Tracker

Use Success Tracker to ask about the reasoning, then try another GATE CE 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.