🛠️ JEE➗ Maths

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

Q1

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

a

\(3-\frac{2\sqrt{2}}{3}\)

b

\(2+\frac{2\sqrt{2}}{3}\)

c

\(1-\frac{2\sqrt{2}}{3}\)

d

\(1+\frac{2\sqrt{2}}{3}\)

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