JEE Math Practice Question
The value of $\int\limits_{-1}^1 \frac{(1+\sqrt{|x|-x}) e^x+(\sqrt{|x|-x}) e^{-x}}{e^x+e^{-x}} d x$ is equal to
- A.$1+\frac{2 \sqrt{2}}{3}$
- B.$1-\frac{2 \sqrt{2}}{3}$
- C.$2+\frac{2 \sqrt{2}}{3}$
- D.$3-\frac{2 \sqrt{2}}{3}$
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