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

  • question_answer
    \[\int_{\,0}^{\,2\pi }{(\sin x+|\sin x|)\,dx=}\]                                    [Karnataka CET 2003]

    A)                 0             

    B)                 4

    C)                 8             

    D)                 1

    Correct Answer: B

    Solution :

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


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