A) \[{{(ae)}^{x}}+c\]
B) \[\frac{{{(ae)}^{x}}}{\log (ae)}+c\]
C) \[\frac{{{e}^{x}}}{1+\log a}+c\]
D) None of these
Correct Answer: B
Solution :
\[\int_{{}}^{{}}{{{e}^{x\log a}}{{e}^{x}}dx}=\int_{{}}^{{}}{{{e}^{\log {{a}^{x}}}}.\,{{e}^{x}}dx}=\int_{{}}^{{}}{{{a}^{x}}{{e}^{x}}dx}\] \[=\int_{{}}^{{}}{{{(ae)}^{x}}dx}=\frac{{{(ae)}^{x}}}{\log (ae)}+C.\]
You need to login to perform this action.
You will be redirected in
3 sec
