JEE Main 2020MathematicsDefinite IntegrationHardMCQ

JEE Main 2020 — Definite Integration Question with Solution

JEE Main 2020 (06 Sep Shift 2)

Question

The integral ∫12ex. xx 2+loge x dx equals :

Choose an option

Show full solutionCorrect option: C
Correct answer
Ce4e-1

Step-by-step explanation

Let y=exx

lny=x1+lnx

1ydydx=2+lnx

⇒ dy=exx2+lnx dx

∫12ex.xx2+logexdx

=y12

=exx12

=4e2−e

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About this question

This is a previous-year question from JEE Main 2020, 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.