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JEE Main & Advanced Mathematics Indefinite Integrals Question Bank Integration by Substitution

  • question_answer
    \[\int_{{}}^{{}}{{{x}^{2}}\sec {{x}^{3}}\ dx}=\] [MNR 1986; Roorkee 1975]

    A)            \[\log (\sec {{x}^{3}}+\tan {{x}^{3}})\]

    B)            \[3(\sec {{x}^{3}}+\tan {{x}^{3}})\]

    C)            \[\frac{1}{3}\log (\sec {{x}^{3}}+\tan {{x}^{3}})\]

    D)            None of these

    Correct Answer: C

    Solution :

               Put \[{{x}^{3}}=t\Rightarrow 3{{x}^{2}}dx=dt\].


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