2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Indefinite Integrals

JEE Main & Advanced Mathematics Indefinite Integrals Question Bank Fundamental Integration

  • question_answer
    If \[\int_{{}}^{{}}{\frac{f(x)\ dx}{\log \sin x}=\log \log \sin x}\], then \[f(x)=\]

    A)            \[\sin x\]

    B)            \[\cos x\]

    C)            \[\log \sin x\]

    D)            \[\cot x\]

    Correct Answer: D

    Solution :

               \[\int_{{}}^{{}}{\frac{f(x)\,dx}{\log \sin x}}=\log \log \sin x\]            Differentiating both sides, we get            \[\frac{f(x)}{\log \sin x}=\frac{\cot x}{\log \sin x}\Rightarrow f(x)=\cot x.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner