Competishun
Contact Us
Back

Report Issue

JEE MAIN 2025
04-04-2025 SHIFT-1
Question
The value of $\int_{ - 1}^1 {\frac{{(1 + \sqrt {|x| - x} ){e^x} + (\sqrt {|x| - x} ){e^{ - x}}}}{{{e^x} + {e^{ - x}}}}} dx$ is equal to
Select the correct option:
A
$1 + \frac{{2\sqrt 2 }}{3}$
B
$2 + \frac{{2\sqrt 2 }}{3}$
C
$3 - \frac{{2\sqrt 2 }}{3}$
D
$1 - \frac{{2\sqrt 2 }}{3}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Mathematics
Medium
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
Video Solution
BY competishun
Video Solution
Watch Solution
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE Advance 20122012
For one mole of a van der Waals gas when $\mathrm{b}=0$ and $\mathrm{T}=300 \mathrm{~K}$, the PV vs. $1 / \mathrm{V}$...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20132013
In the Young's double slit experiment using a monochromatic light of wavelength $\lambda$, the path difference (in terms of an...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20132013
A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20122012
The number of aldol reaction (s) that occurs in the given transformation is :
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20122012
The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is $\left[\mathrm{a}_0\right.$ is Bohr radius...
JEE AdvanceChemistryEasy
View Solution→
Q JEE Advance 20132013
Two vehicles, each moving with speed u on the same horizontal straight road, are approaching each other. Wind blows along...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20132013
Two rectangular blocks, having indentical dimensions, can be arranged either in configuration I or in configuration II as shown in...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20132013
A ray of light travelling in the direction $\frac{1}{2}(\hat{i}+\sqrt{3} \hat{j})$ is incident on a plane mirror. After reflection, it travels...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20122012
Which ordering of compounds is according to the decreasing order of the oxidation state of nitrogen?
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20132013
One end of a horizontal thick copper wire of length $2 L$ and radius $2 R$ is welded to an...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20132013
The work done on a particle of mass $m$ by a force, $K\left[\frac{x}{\left(x^2+y^2\right)^{3 / 2}} \hat{i}+\frac{y}{\left(x^2+y^2\right)^{3 / 2}} \hat{j}\right]$ (...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20132013
The diameter of a cylinder is measured using a vernier callipers with no zero error. It is found that the...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20132013
The image of an object, formed by a plano-convex lens at a distance of 8 m behind the lens, is...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20132013
A particle of mass $m$ is projected from the ground with an initial speed $u_0$ at an angle $\alpha$ with...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advanced 20182018
Sunlight of intensity $1.3 \mathrm{kWm}^{-2}$ is incident normally on a thin convex lens of focal length 20 cm . Ignore...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20152015
If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20152015
The $\%$ yield of ammonia as a function of time in the reaction :
$$ \mathrm{N}_2(\mathrm{~g})+3 \mathrm{H}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_3(\mathrm{~g}),...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20152015
$\mathrm{Fe}^{3+}$ is reduced to $\mathrm{Fe}^{2+}$ by using
JEE AdvanceChemistryEasy
View Solution→