Find the Most General Antiderivative of the Function $f ( x ) = \frac { 2 e ^ { x } e ^ { 2 x } } { e ^ { x } }$

question 272

Multiple Choice

Find the most general antiderivative of the function $f ( x ) = \frac { 2 e ^ { x } e ^ { 2 x } } { e ^ { x } }$ .

• A) \(2 x + e ^ { x } + C\)
• B) \(2 x - e ^ { x } + C\)
• C) \(2 - e ^ { x } + C\)
• D) \(\frac { 2 e ^ { x } - e ^ { 2 x } } { e ^ { x } } + C\)
• E) \(2 x - 2 e ^ { x } + C\)
• F) \(\frac { 2 e ^ { x } - \frac { 1 } { 2 } e ^ { 2 x } } { e ^ { x } } + C\)
• G) \(2 + x e ^ { x - 1 } + C\)
• H) \(2 x + \frac { 1 } { 1 + x } e ^ { x + 1 } + C\)

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