JEE Main 2026 — Definite Integration Question with Solution
JEE Main 2026 (24 January Shift 1)
Question
Let a differentiable function satisfy the equation . If is a standard parabola passing through the points and , then is equal to .
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Show full solutionCorrect answer: 64
Correct answer
64
Step-by-step explanation
From , substitute to get .
Differentiating: , which simplifies to .
This gives , integrating to .
For f to be a standard parabola: .
Thus . Using point : , so .
At : .
Therefore
Differentiating: , which simplifies to .
This gives , integrating to .
For f to be a standard parabola: .
Thus . Using point : , so .
At : .
Therefore
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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.