Determine the Integral by Making an Appropriate Substitution $\int \sqrt { 2 x ^ { 2 } - 3 x } \left( 3 x - \frac { 9 } { 4 } \right)$

Multiple Choice

Determine the integral by making an appropriate substitution.
- $\int \sqrt { 2 x ^ { 2 } - 3 x } \left( 3 x - \frac { 9 } { 4 } \right)$ dx

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