Question

$\int a^{x}da$ is equal to:

• A. $\frac{a^{x+1}}{x+1}+c$
• B. $\frac{a^{x-1}}{{\log }_{e}a+e}+c$
• C. $a^x{\log }_{e}a+c$
• D. none of these

Answer 1

Answer: (A)

Note : $\int x^{n}dx=\frac{x^{n+1}}{n+1}+c$
So, $\int a^{x}da=\frac{a^{x+1}}{x+1}+c$