What Is the Area Under the Curve F(x) = 3 $x ^ { 2 }$

Multiple Choice

What is the area under the curve f(x) = 3 $x ^ { 2 }$ + 2x + 1 from x = - $\frac { 3 } { 2 }$ to x = - $\frac { 1 } { 2 }$ ?

A) $\frac { 9 } { 4 }$
B) $\frac { 51 } { 4 }$
C) $\frac { 15 } { 4 }$
D) - $\frac { 15 } { 4 }$
E) none of these