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

  • question_answer
    To evaluate \[\int_{{}}^{{}}{\frac{{{\sec }^{2}}x}{(1+\tan x)(2+\tan x)}\ dx}\], the most suitable substitution is  

    A)            \[1+\tan x=t\]

    B)            \[2+\tan x=t\]

    C)            \[\tan x=t\]

    D)            None of these

    Correct Answer: C

    Solution :

               The most suitable substitution is \[\tan x=t.\]


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