Integral Calculus Question 317

Question: $ \int_{{}}^{{}}{a^{x}\ da=} $

[MP PET 1994, 96]

Options:

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 $

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Answer:

Correct Answer: C

Solution:

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