JEE Main 2020 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 5 September 2020, Shift 1, Maths Q61

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

\int\left(e^{2x}+2e^{x}-e^{-x}-1\right)e^{\left(e^{x}+e^{-x}\right)}dx

=g(x)\,e^{\left(e^{x}+e^{-x}\right)}+c

, where c is a constant of integration, then g(0) is equal to :

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

Official answer

Option 2

NTA final key (Sep 2020).

Chapter: Integrals
Topic: Integration by Parts
Idea tested: Exponential Special Form

Same topic in other shifts

All Integration by Parts 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 108 of the 174 JEE Main shifts held from 2017 to 2026.