JEE Main 2021MathematicsDefinite IntegrationEasyMCQ

JEE Main 2021 — Definite Integration Question with Solution

JEE Main 2021 (25 Jul Shift 2)

Question

The value of the integral ∫-11logx+x2+1dx is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B0

Step-by-step explanation

Let I=∫-11logx+x2+1dx

Consider fx=logx+x2+1 

Now, f-x=log-x+1+x2

⇒f-x=-logx+1+x2

⇒f-x=-fx

So, fx is an odd function.

∴ I=0

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About this question

This is a previous-year question from JEE Main 2021, 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.