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

question 91

Multiple Choice

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

• A) \(\frac { x ^ { 2 } e ^ { 3 x } } { 6 }\) + C
• B) \(\frac { e ^ { 3 x } } { 3 }\) + C
• C) \(\frac { 3 x \mathrm { e } ^ { 3 x } - \mathrm { e } ^ { 3 x } } { 9 }\) + C
• D) \(\frac { x e ^ { 3 x } - e ^ { 3 x } } { 3 }\) + C
• E) none of these

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