JEE Main & Advanced AIEEE Solved Paper-2009

  • question_answer
    \[\int\limits_{0}^{\pi }{[\cot x]dx,}\]where [.] denotes the greatest integer function, is equal to   AIEEE  Solved  Paper-2009 v

    A) \[\pi /2\]                             

    B) 1                             

    C)        \[-1\]                    

    D)        \[-\pi /2\]

    Correct Answer: D

    Solution :

    \[\int\limits_{0}^{\pi }{[\cot x]dx}\] \[\int\limits_{0}^{\pi }{\left\{ [\cot x]+[-\cot x] \right\}dx}\] \[\int\limits_{0}^{\pi /2}{(-1)dx=-\frac{\pi }{2}}\]


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