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\(\dfrac{1}{5} x^2 e^{5x} - \dfrac{2}{25} x e^{5x} + \dfrac{2}{125} e^{5x} + C\)

\(\int{x^{n} e^{kx}}\,dx = \dfrac{1}{k} x^n e^{kx} - \dfrac{n}{k} \int x^{n-1} e^{kx} dx\)