JEE Main 2026 — Indefinite Integration Question with Solution
JEE Main 2026 (22 January Shift 1)
Question
If , where and are positive integers with for and C is the constant of integration, then is equal to
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Show full solutionCorrect answer: 16
Correct answer
16
Step-by-step explanation
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Since (negative even), substitute , .
Integral becomes .
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Comparing: , , , .
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Since (negative even), substitute , .
Integral becomes .
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Comparing: , , , .
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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.