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(1 point) Let $f(x)$ be a function that is defined and has a continuous derivative on the interval $(2, \infty)$. Assume also that \[ \begin{array}{c} f(3)=-5 \\ |f(x)|<x^{6}+1 \end{array} \] and \[ \int_{3}^{\infty} f(x) e^{-x / 5} d x=-5 \] Determine the value of \[ \int_{3}^{\infty} f^{\prime}(x) e^{-x / 5} d x \]

point) Evaluate the following improper integral. If the integral is divergent, enter "divergent" as answer. \[ \int_{5}^{-5} \frac{1}{|x|^{2 / 3}} d x \]

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