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MCQMediumJEE Main 2023 · 1 February, Shift 2Properties of Definite Integrals

Mathematics Question from JEE Main 2023 · 1 February, Shift 2

The value of the integral ∫−π4π4x+π42−cos⁡2x dx\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \frac{x + \frac{\pi}{4}}{2 - \cos 2x} \, dx is:

  • A

    π26\frac{\pi^2}{6}

  • B

    π2123\frac{\pi^2}{12 \sqrt{3}}

  • C

    π233\frac{\pi^2}{3 \sqrt{3}}

  • D

    π263\frac{\pi^2}{6 \sqrt{3}}

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