Evaluate the Indicated Integral $\int \frac { 7 x ^ { 4 } + 56 x ^ { 3 } + 56 } { x ^ { 5 } + 10 x ^ { 4 } + 40 x + 4 } d x$

question 20

Multiple Choice

Evaluate the indicated integral: $\int \frac { 7 x ^ { 4 } + 56 x ^ { 3 } + 56 } { x ^ { 5 } + 10 x ^ { 4 } + 40 x + 4 } d x$

• A) \(\frac { 7 } { 5 } \ln \left| x ^ { 5 } + 10 x ^ { 4 } + 40 x + 4 \right| + C\)
• B) \(\frac { 5 } { 7 } \ln \left| x ^ { 5 } + 10 x ^ { 4 } + 40 x + 4 \right| + C\)
• C) \(\frac { 7 } { 5 } \ln \left| x ^ { 4 } + 8 x ^ { 3 } + 8 \right| + C\)
• D) \(\frac { 7 } { 5 } \ln \left| x ^ { 5 } + 10 x ^ { 4 } + 32 x \right| + C\)

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