Find the Signed Volume Between the Graph of the Given $$f ( x , y ) = x ^ { 2 } y ^ { 3 }$$

Multiple Choice

Find the signed volume between the graph of the given function and the specified rectangle. $$f ( x , y ) = x ^ { 2 } y ^ { 3 }$$ and $R = \{ ( x , y ) : 1 \leq x \leq 3 \text { and } - 1 \leq \mathrm { y } \leq 2 \}$

A) $\frac { 1 } { 8 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 65 } { 2 }$
D) $\frac { 1 } { 6 }$