Let f(x) be a function that is defined and has a continuous derivative on the interval (2,∞).

Assume also that f(4) = −14, |f(x)|<x^3+10, and ∫f(x)e^(−x/3)dx = −8 from 4 to infinite. Determine the value of ∫f′(x)e^(−x/3)dx from 4 to inifinite