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MathsJEE Main 2 Apr 2026, Shift 2·Q17·MCQ·Easy–moderate

Definite Integration · Integral of periodic function

The value of ∫020π(sin⁡4x+cos⁡4x) dx\displaystyle\int_0^{20\pi}(\sin^4x + \cos^4x)\,dx is equal to:
  1. (1)15π2\dfrac{15\pi}{2}
  2. (2)25π25\pi
  3. (3)15π15\pi
  4. (4)25π2\dfrac{25\pi}{2}

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