Evaluate the Integral $\int y ^ { 3 } e ^ { - 7 y } d y$

question 353

Multiple Choice

Evaluate the integral.
- $\int y ^ { 3 } e ^ { - 7 y } d y$

• A) \(- \frac { 1 } { 7 } \mathrm { e } ^ { - 7 \mathrm { y } } \left[ \mathrm { y } ^ { 3 } + \mathrm { y } ^ { 2 } + \mathrm { y } + 6 \right] + C\)
• B) \(- \frac { 1 } { 28 } y ^ { 4 } e ^ { - 7 y } + C\)
• C) \(- \mathrm { e } ^ { - 7 \mathrm { y } } \left[ \frac { 1 } { 7 } \mathrm { y } ^ { 3 } + \frac { 3 } { 49 } \mathrm { y } ^ { 2 } + \frac { 6 } { 343 } \mathrm { y } + \frac { 6 } { 2401 } \right] + \mathrm { C }\)
• D) \(e ^ { - 7 y } \left[ \frac { 1 } { 7 } y ^ { 3 } - \frac { 3 } { 49 } y ^ { 2 } + \frac { 6 } { 343 } y - \frac { 6 } { 2401 } \right] + C\)

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