JEE Main 2026 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 2 April 2026, Shift 1, Maths Q25

Question 25 of 75 in this shift, Maths question 25 of 25, Section B.

\alpha=\int_0^{2\sqrt3}\log_2\left(x^2+4\right)dx+\int_2^4\sqrt{2^x-4}\,dx

, then

\alpha^2

is equal to __________.

Official answer

192

NTA final key.

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: Integral of Inverse Functions

Same topic in other shifts

All Definite Integral Properties questions

2 Apr 2026, Shift 2 · Q17The value of $\int_0^{20\pi} (\sin^4 x + \cos^4 x)dx$ is equal to:EasySingle correct
4 Apr 2026, Shift 1 · Q19Let $\int_{-2}^{2}\left(|\sin x|+[x\sin x]\right)dx=2(3-\cos 2)+\beta$ , where $[\cdot]$ is the greatest integer function. Then…HardSingle correct
5 Apr 2026, Shift 1 · Q18The value of the integral $\int_0^{\infty} \frac{\log_e(x)}{x^2+4}\,dx$ is:HardSingle correct
6 Apr 2026, Shift 1 · Q18The value of the integral $\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(\frac{32\cos^4 x}{1+e^{\sin x}}\right)dx$ is:MediumSingle correct
6 Apr 2026, Shift 2 · Q20The value of the integral $\int_{-1}^{1}\left(\frac{x^3+|x|+1}{x^2+2|x|+1}\right)dx$ is equal to :MediumSingle correct
2 Apr 2025, Shift 1 · Q23Let $[\cdot]$ denote the greatest integer function. If $\int_0^{e^3}\left[\frac{1}{e^{x-1}}\right]dx=\alpha-\log_e2$ , then $\alpha^3$ is…MediumNumerical value

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.