MCQMediumJEE Main 2024 · 31 January, Shift 1Definite Integrals

Mathematics Question from JEE Main 2024 · 31 January, Shift 1

If

525∫0π2sin⁡2x cos⁡112x(1+cos⁡52x)12dx=(n2−64),525\int_{0}^{\frac{\pi}{2}} \sin 2x\, \cos^{\frac{11}{2}} x \left(1 + \cos^{\frac{5}{2}} x\right)^{\frac{1}{2}} dx = \left(n\sqrt{2} - 64\right),

then nn is equal to:

  • A

    176176

  • B

    150150

  • C

    100100

  • D

    8080

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