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JEE Main & Advanced Mathematics Indefinite Integrals Question Bank Fundamental Integration

  • question_answer
    The value of \[\int_{{}}^{{}}{\frac{1}{{{x}^{4}}}\ dx}\] is [RPET 1995]

    A)            \[\frac{1}{-3{{x}^{3}}}+c\]

    B)            \[\frac{1}{3{{x}^{3}}}+c\]

    C)            \[\frac{1}{-4{{x}^{3}}}+c\]

    D)            \[-\frac{1}{3{{x}^{2}}}+c\]

    Correct Answer: A

    Solution :

               \[\int_{{}}^{{}}{{{x}^{-4}}dx}=\frac{{{x}^{-3}}}{-3}+c=-\frac{1}{3{{x}^{3}}}+c.\]


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