Evaluate the Following Definite Integral by the Limit Definition $$\int _ { - 2 } ^ { 1 } 5 s ^ { 3 } d s$$

Multiple Choice

Evaluate the following definite integral by the limit definition. $$\int _ { - 2 } ^ { 1 } 5 s ^ { 3 } d s$$

A) $\frac { 49 } { 4 }$
B) $- \frac { 75 } { 4 }$
C) $\frac { 45 } { 4 }$
D) $- \frac { 71 } { 4 }$
E) $- 15$