Evaluate the Integral $\int \frac { - 2 x - 7 } { \left( x ^ { 2 } + 7 x + 7 \right) ^ { 3 } } \mathrm {~d} x$

question 6

Multiple Choice

Evaluate the integral. $\int \frac { - 2 x - 7 } { \left( x ^ { 2 } + 7 x + 7 \right) ^ { 3 } } \mathrm {~d} x$

• A) \(- \frac { \left( x ^ { 2 } + 7 x + 7 \right) ^ { - 2 } } { 2 } + C\)
• B) \(\frac { \left( x ^ { 2 } + 7 x + 7 \right) ^ { - 3 } } { 2 } + C\)
• C) \(\left( x ^ { 2 } + 7 x + 7 \right) ^ { - 2 } + C\)
• D) \(\frac { \left( x ^ { 2 } + 7 x + 7 \right) ^ { - 2 } } { 2 } + C\)
• E) \(- \frac { 1 } { x ^ { 2 } + 7 x + 7 } + C\)

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