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

  • question_answer
    \[\int_{\,0}^{\,2\pi }{|\sin x|\,dx=}\]

    A)                 0             

    B)                 1

    C)                 2             

    D)                 4

    Correct Answer: D

    Solution :

               \[\int_{0}^{2\pi }{|\sin x|dx=\int_{0}^{\pi }{\sin x\,dx+\int_{\pi }^{2\pi }{-\sin x\,dx}}}\]                                 \[=[-\cos x]_{0}^{\pi }+[\cos x]_{\pi }^{2\pi }=1+1+1+1=4\].


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