Write the Following Limit as a Definite Integral on the Interval

Multiple Choice

Write the following limit as a definite integral on the interval [2 , 5], where ci is any point in the ith subinterval. $\lim _ { | \Delta x | \rightarrow 0 } \sum _ { i = 1 } ^ { n } \left( - 7 c _ { i } + 2 \right) \Delta x _ { i }$

A) $\int _ { 2 } ^ { 5 } \left( - 7 x ^ { 2 } + 2 x \right) d x$
B) $\int _ { 2 } ^ { 5 } \left( - \frac { 7 } { 2 } x ^ { 2 } - 2 x \right) d x$
C) $\int _ { 2 } ^ { 5 } ( - 7 x + 2 ) d x$
D) $\int _ { 5 } ^ { 2 } ( - 7 x + 2 ) d x$
E) $\int _ { 2 } ^ { 5 } ( - 7 x - 2 ) d x$