Definite Integration | JEE Main 2025 Solution

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:

$1 + \frac{{2\sqrt 2 }}{3}$

$2 + \frac{{2\sqrt 2 }}{3}$

$3 - \frac{{2\sqrt 2 }}{3}$

$1 - \frac{{2\sqrt 2 }}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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