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

  • question_answer
    \[\int_{-3}^{3}{\frac{{{x}^{2}}\sin x}{1+{{x}^{6}}}\,dx=}\]

    A)                 4             

    B)                 2

    C)                 0             

    D)                 None of these

    Correct Answer: C

    Solution :

                    \[\int_{-3}^{3}{\frac{{{x}^{2}}\sin x}{1+{{x}^{6}}}}dx=0\]. By the property of definite integral, \[\int_{-a}^{a}{f(x)dx=0}\], when \[f(x)=-f(-x)\].


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