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MathsJEE Main 5 Apr 2026, Shift 1·Q20·MCQ·Moderate

Definite Integration · Definite integral evaluation

The value of the integral ∫π/6π/3(4−cosec⁡2xcos⁡4x)dx\displaystyle\int_{\pi/6}^{\pi/3}\left(\frac{4 - \operatorname{cosec}^2x}{\cos^4x}\right)dx is:
  1. (1)113\dfrac{11}{\sqrt3}
  2. (2)163\dfrac{16}{\sqrt3}
  3. (3)3233\dfrac{32}{3\sqrt3}
  4. (4)6433\dfrac{64}{3\sqrt3}

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See the full 5 Apr 2026, Shift 1 paper