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

  • question_answer
    \[\int_{-1}^{1}{{{\sin }^{3}}x{{\cos }^{2}}x\,dx=}\]            [MNR 1991; UPSEAT 2000]

    A)                 0             

    B)                 1

    C)                 \[\frac{1}{2}\]   

    D)                 2

    Correct Answer: A

    Solution :

               \[\int_{-1}^{1}{{{\sin }^{3}}x{{\cos }^{2}}x\,dx=0}\],                                 Since the function is an odd function.


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