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MCQMediumJEE Main 2023 · 10 April, Shift 1Indefinite Integrals

Mathematics Question from JEE Main 2023 · 10 April, Shift 1

If I(x)=∫esin⁡2x(cos⁡xsin⁡2x−sin⁡x) dxI(x) = \int e^{\sin^2x}\left(\cos x \sin 2x - \sin x\right) \, dx and I(0)=1I(0) = 1, then I(π3)I\left(\frac{\pi}{3}\right) is equal to:

  • A

    e3/4e^{3/4}

  • B

    −e3/4-e^{3/4}

  • C

    12e3/4\frac{1}{2}e^{3/4}

  • D

    −12e3/4-\frac{1}{2}e^{3/4}

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