Evaluate the Integral Using Integration by Parts $\int x ^ { 2 }$

question 95

Multiple Choice

Evaluate the integral using integration by parts.
- $\int x ^ { 2 }$ $\mathrm { e } ^ { 2 x }$ dx

• A) \(\mathrm { e } ^ { 2 x }\) \(\left( \frac { x ^ { 2 } - x } { 2 } \right)\) + 1 + C
• B) \(\mathrm { e } ^ { 2 x }\) \(\left( \frac { x ^ { 2 } - 4 x } { 2 } \right)\) + C
• C) \(\mathrm { e } ^ { 2 x }\) \(\left( \frac { x ^ { 2 } - 2 x } { 2 } \right)\) + C
• D) \(\mathrm { e } ^ { 2 x }\) \(\left( \frac { 2 x ^ { 2 } - 2 x + 1 } { 4 } \right)\) + C

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