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MCQMediumJEE Main 2025 · 4 April, Shift 1Definite Integrals

Mathematics Question from JEE Main 2025 · 4 April, Shift 1

The value of ∫−11(1+∣x∣−x)ex+(∣x∣−x)e−xex+e−x dx\int_{-1}^{1} \frac{(1 + \sqrt{|x| - x})e^x + (\sqrt{|x| - x})e^{-x}}{e^x + e^{-x}} \, dx is equal to

  • A

    3−2233 - \frac{2\sqrt{2}}{3}

  • B

    2+2232 + \frac{2\sqrt{2}}{3}

  • C

    1−2231 - \frac{2\sqrt{2}}{3}

  • D

    1+2231 + \frac{2\sqrt{2}}{3}

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