JEE Main & Advanced Mathematics Indefinite Integrals Question Bank Fundamental Integration

  • question_answer
    \[\int_{{}}^{{}}{{{e}^{\log (\sin x)}}dx=}\] [MP PET 1995]

    A)            \[\sin x+c\]

    B)            \[-\cos x+c\]

    C)            \[{{e}^{\log (\cos x)}}+c\]

    D)            None of these

    Correct Answer: B

    Solution :

               \[\int_{{}}^{{}}{{{e}^{\log (\sin x)}}dx}=\int_{{}}^{{}}{\sin x\,dx}=-\cos x+c.\]


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