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JEE Main 2019 · 12 Apr · Shift II

JEE Main 2019 Mathematics question on Definite Integrals and Areas

If ∫0π/2cot⁡xcot⁡x+cosec⁡xdx=m(π+n)\int_0^{\pi/2} \frac{\cot x}{\cot x + \cosec x} dx = m(\pi + n), then m⋅nm \cdot n is equal to
  1. A.
    −12-\dfrac{1}{2}
  2. B.
    11
  3. C.
    12\dfrac{1}{2}
  4. D.
    −1-1
Show answer

Correct option: D

[JEE Main 2019 · 12 Apr · Shift II]

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