Find the indefinite integral

Indefinite integral are written in the form of

 where: as the integrand

          as the anti-derivative function 

           as the arbitrary constant known as constant of integration

For the given problem has an integrand in a form of exponential function.

 To evaluate this, we may let:

then   .

Applying u-substitution, we get:

                           

                           

The integral part resembles the basic integration formula:

Applying it to the problem: 

Pug-in , we get the definite integral:

 or