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Evaluate the Indicated Integral 7x4+56x3+56x5+10x4+40x+4dx\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: 7x4+56x3+56x5+10x4+40x+4dx\int \frac { 7 x ^ { 4 } + 56 x ^ { 3 } + 56 } { x ^ { 5 } + 10 x ^ { 4 } + 40 x + 4 } d x


A) 75lnx5+10x4+40x+4+C\frac { 7 } { 5 } \ln \left| x ^ { 5 } + 10 x ^ { 4 } + 40 x + 4 \right| + C
B) 57lnx5+10x4+40x+4+C\frac { 5 } { 7 } \ln \left| x ^ { 5 } + 10 x ^ { 4 } + 40 x + 4 \right| + C
C) 75lnx4+8x3+8+C\frac { 7 } { 5 } \ln \left| x ^ { 4 } + 8 x ^ { 3 } + 8 \right| + C
D) 75lnx5+10x4+32x+C\frac { 7 } { 5 } \ln \left| x ^ { 5 } + 10 x ^ { 4 } + 32 x \right| + C

Correct Answer:

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