JEE Main 2020 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 6 September 2020, Shift 2, Maths Q61

Question 61 of 75 in this shift, Maths question 11 of 25.

The integral

\int_1^2 e^x\cdot x^x(2+\log_e x)\,dx

equals :

(1) $4e^2-1$
(2) $e(2e-1)$
(3) $e(4e-1)$ Official answer
(4) $e(4e+1)$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Integrals
Topic: Integration by Substitution
Idea tested: Exact Exponential-Function Derivative Substitution

Same topic in other shifts

All Integration by Substitution questions

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.