GATE CE 2023 Set 1 — Question 11
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumDefinite & Indefinite IntegralsCalculusEngineering Mathematics
Engineering Mathematics → Calculus → Definite & Indefinite Integrals
Last updated
Question
For the integral which of the following statements is TRUE?
Correct answer
(D) The integral does not converge
Solution
The integrand is undefined at , which lies within the interval . The integral is improper and must be split: . Evaluating the second part: . Since the integral diverges, it does not converge.
Continue learning with Success Tracker
A step still unclear? Work through it with support
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.