JEE Main 2016 — Definite Integration Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
For x R, x 0, if y(x) is a differentiable function such that
x (t) dt = (x + 1) (t) dt, then y (x) equals :
(where C is a constant.)
x (t) dt = (x + 1) (t) dt, then y (x) equals :
(where C is a constant.)
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Differentiate w.r. to x.
Diff. again w.r.t to x
or
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This is a previous-year question from JEE Main 2016, 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.