JEE Main & Advanced Mathematics Definite Integration Question Bank Properties of Definite Integration

  • question_answer
    The value of \[\int_{0}^{n\pi +v}{|\sin x|\,dx}\] is                                           [IIT 1994]

    A)                 x\[2n+1+\cos v\]             

    B)                 \[2n+1-\cos v\]

    C)                 \[2n+1\]              

    D)                 \[2n+\cos v\]

    Correct Answer: B

    Solution :

               \[\int_{0}^{n\pi +v}{|\sin x|dx=\int_{0}^{n\pi }{|\sin x|dx+\int_{n\pi }^{n\pi +v}{|\sin x|dx}}}\]                                                             \[=2n+1-\cos v\].


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