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JEE Main 2019 · 10 Apr · Shift II

JEE Main 2019 Mathematics question on Definite Integrals and Areas

The integral ∫π/6π/3sec⁡2/3xcsc⁡4/3x dx\int_{\pi/6}^{\pi/3} \sec^{2/3} x \csc^{4/3} x \, dx is equal to
  1. A.
    31/6−32/33^{1/6} - 3^{2/3}
  2. B.
    37/6−51/63^{7/6} - 5^{1/6}
  3. C.
    31/3−31/33^{1/3} - 3^{1/3}
  4. D.
    34/3−31/33^{4/3} - 3^{1/3}
Show answer

Correct option: B

[JEE Main 2019 · 10 Apr · Shift II]

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