JEE Main 2026 — Indefinite Integration Question with Solution
JEE Main 2026 (02 April Shift 2)
Question
Let . If and , , then is equal to:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
The given integral is .
Factorizing the denominator, we get .
Using partial fractions, we can write:
Substituting , we get .
Substituting , we get .
Therefore, the integral becomes:
Given , we substitute :
Since , we get .
Thus, .
Now, substituting :
Comparing this with , we get and .
Therefore, .
Answer:
Factorizing the denominator, we get .
Using partial fractions, we can write:
Substituting , we get .
Substituting , we get .
Therefore, the integral becomes:
Given , we substitute :
Since , we get .
Thus, .
Now, substituting :
Comparing this with , we get and .
Therefore, .
Answer:
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This is a previous-year question from JEE Main 2026, covering the Indefinite 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.