4∫₀¹(1/(√(3+x²)+√(1+x²)))dx−3 logₑ(√3)... | Definite Integrals

JEE MAIN 2025

02-04-2025 S2

Question

$4 \int_0^1\left(\frac{1}{\sqrt{3+x^2}+\sqrt{1+x^2}}\right) d x-3 \log _e(\sqrt{3})$ is equal to :

Select the correct option:

$2-\sqrt{2}+\log _e(1+\sqrt{2})$

$2-\sqrt{2}-\log _e(1+\sqrt{2})$

$2+\sqrt{2}-\log _e(1+\sqrt{2})$

$2+\sqrt{2}+\log _e(1+\sqrt{2})$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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