JEE Main 2005 — Definite Integration Question with Solution
From: AIEEE 2005
Question
Let be a differentiable function having ,
. Then equals :
. Then equals :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
This limit resembles a derivative because the fraction has the form as since both the numerator (integral from to ) and the denominator () are zero when .
Applying Hospital rule
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This is a previous-year question from JEE Main 2005, 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.