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JEE Main 2019 · 9 Apr · Shift II

JEE Main 2019 Mathematics question on Definite Integrals and Areas

The value of ∫0π/2sin⁡3xsin⁡x+cos⁡xdx\int_0^{\pi/2} \frac{\sin^3 x}{\sin x + \cos x} dx is
  1. A.
    π−12\frac{\pi - 1}{2}
  2. B.
    π−28\frac{\pi - 2}{8}
  3. C.
    π−14\frac{\pi - 1}{4}
  4. D.
    π−24\frac{\pi - 2}{4}
Show answer

Correct option: C

[JEE Main 2019 · 9 Apr · Shift II]

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