Find the antiderivative of expression with exponential terms

The video tutorial explains how to rewrite and simplify expressions involving exponential functions. It demonstrates breaking down expressions into integrals and setting up use substitution for easier integration. The process of integrating the expressions and substituting back the original variables is shown, concluding with the final solution.

Discuss the importance of breaking the integral into two parts as mentioned in the text.

What is the final expression for the integral after substitution and integration?