JEE Main & Advanced Mathematics Indefinite Integrals Question Bank Fundamental Integration

  • question_answer
    \[\int_{{}}^{{}}{\frac{1}{x\sqrt{{{x}^{2}}-1}}\ dx=}\] [MP PET 1988]

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

    B)            \[{{\sec }^{-1}}x+c\]

    C)            \[{{\cot }^{-1}}x+c\]

    D)            \[{{\tan }^{-1}}x+c\]

    Correct Answer: B

    Solution :

               \[\int_{{}}^{{}}{\frac{1}{x\sqrt{{{x}^{2}}-1}}\,dx={{\sec }^{-1}}x+c}\] (formula).


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