Consider the following.

$5,000$e$0\mathrm{.}1$x dx

Find a substitution to rewrite the integrand as

$50,000$eu du$.$

u$=$

$0\mathrm{.}1$x

Nicely done!

du

$=$

$0\mathrm{.}1$

$$dx

Evaluate the integral. $($Remember the constant of integration.$)$

$50,000$e$0\mathrm{.}1$x$+$C