Determine the Integral by Making an Appropriate Substitution $\int \frac { x + \frac { 3 } { 2 } } { x ^ { 2 } + 3 x }$

Multiple Choice

Determine the integral by making an appropriate substitution.
- $\int \frac { x + \frac { 3 } { 2 } } { x ^ { 2 } + 3 x }$ dx

A) $\left( x ^ { 2 } + 3 x \right) ^ { 2 }$ + C
B) $\left( x ^ { 2 } + 3 x \right) ^ { - 1 }$ + C
C) $\frac { 1 } { 2 }$ ln $\left| x ^ { 2 } + 3 x \right|$ + C
D) ln $\left| x ^ { 2 } + 3 x \right|$ + C
E) none of these