Find the Taylor Series Expansion at X = 0 Of \int

True/False

Find the Taylor series expansion at x = 0 of $\int 2 x e ^ { - x }$ dx. Is $\left[ x ^ { 2 } + \frac { 2 } { 3 } x ^ { 3 } + \frac { 1 } { 4 } x ^ { 4 } + \frac { 1 } { 15 } x ^ { 5 } + \ldots \right] + C$ correct?