Find the integral of a^(x) where a is a constant

Starting with ∫a^x dx ,
We can re-write a^x using logs as e^ln(a)*x using some of their properties
We use the substitution u = ln(a)*x (as such du/dx = ln(a)) allowing us to easily integrate e^u  with respect to u, by substituting du/ln(a) in the place of dx
The result is e^u/ln(a) + c and after re-writing in terms of x by we get an answer of:
a^x/ln(a) +c