Solve the Problem by Integration $y = \frac { 1 } { x ^ { 3 } + 4 x ^ { 2 } + 3 x } , x = 1$

Multiple Choice

Solve the problem by integration.
-Find the first-quadrant area bounded by $y = \frac { 1 } { x ^ { 3 } + 4 x ^ { 2 } + 3 x } , x = 1$ , and $x = 4$ .

A) $\frac { 1 } { 6 } \ln \frac { 224 } { 125 }$
B) $6 \ln \frac { 125 } { 1792 }$
C) $\frac { 1 } { 3 } \ln \frac { 32 } { 49 }$
D) $\frac { 1 } { 6 } \ln \frac { 125 } { 1792 }$