Evaluate the Integral Using Integration by Parts $\int x e ^ { 3 x } d x$

question 2

Multiple Choice

Evaluate the integral using integration by parts.
- $\int x e ^ { 3 x } d x$

• A) \(\frac { 1 } { 6 }\) \(x ^ { 2 }\) \(e ^ { 3 x }\) + C
• B) \(e ^ { 3 x }\) \(\left( \frac { 1 } { 3 } x - \frac { 1 } { 9 } \right)\) + C
• C) \(e ^ { 3 x }\) \(\left( \frac { 1 } { 3 } x - 1 \right)\) + C
• D) \(\frac { 1 } { 3 }\) \(e ^ { 3 x }\) + C

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