JEE Main 2012 — Indefinite Integration Question with Solution
JEE Main 2012 (07 May Online)
Question
Let be an indefinite integral of .
Statement 1: is a periodic function of period
.
Statement 2: is a periodic function.
Choose an option
Show full solutionCorrect option: D
Correct answer
DStatement 1 is false, Statement 2 is true.
Step-by-step explanation
Statement is a periodic function. it is a true statement.
Statement-1
Given
Now, period of
Period of
Hence period of
Thus, is a periodic function of period .
Hence, Statement is false.
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This is a previous-year question from JEE Main 2012, 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.