JEE Main 2026 — Definite Integration Question with Solution
JEE Main 2026 (05 April Shift 2)
Question
Let , , be in A.P. and be the minimum value of . Then the value of the integral is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Since , , and are in A.P., we have:
Using the AM-GM inequality, for .
and .
The minimum value of occurs when .
.
Now, we evaluate the integral:
Let .
When , .
When , .
Answer:
Using the AM-GM inequality, for .
and .
The minimum value of occurs when .
.
Now, we evaluate the integral:
Let .
When , .
When , .
Answer:
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This is a previous-year question from JEE Main 2026, covering the Definite Integration chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.