Find the given indefinite integral. State whether integration by substitution or integration by parts was used.
-$\int x e^{x / 3} d x$
A) $3 x \mathrm{e}^{\mathrm{x} / 3}-{ }^ 6 \mathrm{e}^{\mathrm{x} / 3}+ C$; parts
B) $3 \mathrm{xe}^{\mathrm{x} / 3}-{ }^ 9 \mathrm{e}^{\mathrm{x} / 3}+ C$; parts
C) $0.33333333 x \mathrm{e}^{\mathrm{x} / 3}-9 \mathrm{e}^{\mathrm{x} / 3}+ C$; substitution
D) $0.33333333 \mathrm{xe}^{\mathrm{x} / 3}-{ }^{} 6 \mathrm{e}^{\mathrm{x} / 3}+C$; substitution

Question

Quizplus · Accepted Answer

Integration by parts is used, with $ u = x $ and $ dv = e^{x/3} dx $.

Find the Given Indefinite Integral ∫xex/3dx\int x e^{x / 3} d x∫xex/3dx

Find the Given Indefinite Integral $\int x e^{x / 3} d x$