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

Question 222

Multiple Choice

Find the given indefinite integral. State whether integration by substitution or integration by parts was used.
- xex/3dx\int x e^{x / 3} d x


A) 3xex/36ex/3+C3 x \mathrm{e}^{\mathrm{x} / 3}-{ }^ 6 \mathrm{e}^{\mathrm{x} / 3}+ C ; parts
B) 3xex/39ex/3+C3 \mathrm{xe}^{\mathrm{x} / 3}-{ }^ 9 \mathrm{e}^{\mathrm{x} / 3}+ C ; parts
C) 0.33333333xex/39ex/3+C0.33333333 x \mathrm{e}^{\mathrm{x} / 3}-9 \mathrm{e}^{\mathrm{x} / 3}+ C ; substitution
D) 0.33333333xex/36ex/3+C0.33333333 \mathrm{xe}^{\mathrm{x} / 3}-{ }^{} 6 \mathrm{e}^{\mathrm{x} / 3}+C ; substitution

Correct Answer:

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