Set up$,$ but do not evaluate, the integral for the surface area of the solid obtained by rotating the curve $y=2x{e}^{-11x}$ on the interval $3x6$ about the line $x=-3.$

${\displaystyle \underset{-}{\overset{\phantom{}}{}}}$

Set up$,$ but do not evaluate, the integral for the surface area of the solid obtained by rotating the curve $y=2x{e}^{-11x}$ on the interval $3x6$ about the line $y=-3.$

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Note: Don't forget the differentials on the integrands.