JEE Main & Advanced Mathematics Indefinite Integrals Question Bank Fundamental Integration

  • question_answer
    \[\int_{{}}^{{}}{{{a}^{x}}\ da=}\] [MP PET 1994, 96]

    A)            \[\frac{{{a}^{x}}}{{{\log }_{e}}a}+c\]

    B)            \[{{a}^{x}}{{\log }_{e}}a+c\]        

    C)            \[\frac{{{a}^{x+1}}}{x+1}+c\]

    D)            \[x{{a}^{x-1}}+c\]

    Correct Answer: C

    Solution :

               \[\int_{{}}^{{}}{{{a}^{x}}da}=\frac{{{a}^{x+1}}}{x+1}+c.\]


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