JEE Main 2021MathematicsDefinite IntegrationEasyMCQ

JEE Main 2021 — Definite Integration Question with Solution

JEE Main 2021 (27 Aug Shift 1)

Question

∫616logex2logex2+logex2-44x+484dx is equal to

Choose an option

Show full solutionCorrect option: A
Correct answer
A5

Step-by-step explanation

Let ∫616logex2                  dxlogex2+logex2-44x+484

∫616logex2logex2+logex-222dx      .....(1)

We know

∫abfxdx=∫abfa+b-xdx

So, ∫616loge22-x2loge22-x2+loge22-22-x2dx

I=∫616loge22-x2logex2+loge22-x2dx    ....(2)

Add (1) & (2)

2I=∫616dx=10,I=5

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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.