JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 25 July 2021, Shift 2, Maths Q69

Question 69 of 90 in this shift, Maths question 9 of 30, Section A.

The value of the integral

\int_{-1}^{1}\log\left(x+\sqrt{x^2+1}\right)dx

is :

(1) $0$ Official answer
(2) $1$
(3) $2$
(4) $-1$

Official answer

Option 1

NTA final key.

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: Even and Odd Functions

Same idea in other shifts

Asked 4× in all

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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.