The value of ∫_{-1/√2}^{1/√2}((x+1)/(x−1))²... | Definite Integrals

JEE Main 2021

26-08-2021 S1

Question

The value of $\int_{\frac{-1}{\sqrt{2}}}^{\frac{1}{\sqrt{2}}}\left(\left(\frac{x+1}{x-1}\right)^2+\left(\frac{x-1}{x+1}\right)^2-2\right)^{\frac{1}{2}} d x$ is

Select the correct option:

$\log _{\mathrm{e}} 4$

$\log _{\mathrm{e}} 16$

$2 \log _e 16$

$4 \log _e(3+2 \sqrt{2})$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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