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

  • question_answer
    The value of \[\int_{-\pi /2}^{\,\pi /2}{(3\sin x+{{\sin }^{3}}x)\,dx}\] is     [MP PET 2003]

    A)                 3             

    B)                 2

    C)                 0             

    D)                 \[\frac{10}{3}\]

    Correct Answer: C

    Solution :

               \[I=\int_{-\pi /2}^{\pi /2}{(3\sin x+{{\sin }^{3}}x})\,dx=0\],                 (Q Function \[(3\sin x+{{\sin }^{3}}x)\]is an odd function).


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