Consider the indefinite integral ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{e}^{4x+7}dx$ :

a$)$ This can be transformed into a basic integral by letting

$u=4x+7{}^6$ and

$du=4dx,{}^6$

b$)$ Performing the substitution yields the integral

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}$