JEE Main 2026 — Definite Integration Question with Solution
JEE Main 2026 (08 April Shift 2)
Question
The value of the integral is equal to:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Let .
Using the identity :
Cancelling :
Using :
Substitution:
Let , so .
Also, , so .
Changing limits:
Therefore:
Using :
Hence, the correct option is .
Using the identity :
Cancelling :
Using :
Substitution:
Let , so .
Also, , so .
Changing limits:
Therefore:
Using :
Hence, the correct option is .
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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.