Use integration by substitution to find the integral: ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(\frac{e^{\frac{1}{x^2}}}{x^3})dx.$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(\frac{e^{\frac{1}{x^2}}}{x^3})dx=e_{+}+C$

Profit from the sale of cars at a local car lot decreased rapidly between the years $2019$ and $2023$ according to the model $P^{\text{'}}(t)=2410e^{-0\mathrm{.}03483t}$ where $t=0$ represents the year $2019.$ If this trend continues in the future, estimate the total profit from the sale of cars from $2019.($Round your answer to the nearest dollar.$)$

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