A challenging integral

Calculus Level 5

Find the value of

\[\dfrac{\displaystyle \int_{-4}^{-5} e^{(x+5)^2}dx}{\displaystyle \int_{\frac{1}{3}}^{\frac{2}{3}} e^{9\left(x-\frac{2}{3}\right)^2} dx}.\]

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