Verification of integration of a to the power x dx is equal to a to the power x over log|a|, + c

 Integration is the inverse process of differentiation.

Verification of integration of a to the power x dx is equal to a to the power x over log|a|,  + c

Steps are,

-At first we assume Integral as y.
-Differentiate it with respect to x.
- Parallely we also find the differentiation of a to the power x with respect to x, and by putting the value of its derivative in our process.
- At the end (as a result) I get Integrand( a to the power x).

From our definition, 

Integration is the inverse process of differentiation.

We verified 

integration of a to the power x dx is equal to a to the power x over log|a|, + c