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Definite Integration question

2009 · Shift 0 · Q33
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  2. /JEE Main
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  5. /2009 · Shift 0 · Q33

Definite Integration question

2009 · Shift 0 · Q33

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
∫0π[cot⁡x]dx,\int\limits_0^\pi {\left[ {\cot x} \right]dx,}0∫π​[cotx]dx, where [.]\left[ . \right][.] denotes the greatest integer function, is equal to:
  1. A
    111
  2. B
    −1-1−1
  3. C
    −π2- {\pi \over 2}−2π​
  4. D
    π2{\pi \over 2}2π​
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