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

  • question_answer
    \[\int_{{}}^{{}}{\frac{\cos \sqrt{x}}{\sqrt{x}}}dx=\] [MP PET 1987; IIT 1990; SCRA 1996; RPET 2001]

    A)            \[2\cos \sqrt{x}+c\]

    B)            \[2\sin \sqrt{x}+c\]

    C)            \[\sin \sqrt{x}+c\]

    D)            \[\frac{1}{2}\cos \sqrt{x}+c\]

    Correct Answer: B

    Solution :

               Put \[\sqrt{x}=t\Rightarrow \frac{1}{2\sqrt{x}}dx=dt\].


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