Evaluate the Following Definite Integral by the Limit Definition $$\int _ { 5 } ^ { 10 } 15 u ^ { 2 } d u$$

Multiple Choice

Evaluate the following definite integral by the limit definition. $$\int _ { 5 } ^ { 10 } 15 u ^ { 2 } d u$$

A) 4375
B) $\frac { 12328 } { 3 }$
C) 4372
D) 1125
E) $\frac { 4375 } { 3 }$