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Definite Integration question

2019 · 12 Apr · Shift 1 · Q26
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  5. /2019 · 12 Apr · Shift 1 · Q26

Definite Integration question

2019 · 12 Apr · Shift 1 · Q26

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
If ∫0π/2cot⁡xcot⁡x+csc⁡x dx=m(π+n)\displaystyle\int\limits_0^{\pi/2} \frac{\cot x}{\cot x + \csc x} \, dx = m(\pi + n)0∫π/2​cotx+cscxcotx​dx=m(π+n), then m⋅nm \cdot nm⋅n is equal to
  1. A
    - 1
  2. B
    1
  3. C
    −12- {1 \over 2}−21​
  4. D
    12{1 \over 2}21​
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