Write the limit $\underset{|x|0}{lim}{\displaystyle \underset{i=1}{\overset{n}{}}}7c_i(5-c_i{)}^2{x}_i,$ as a definite integral on the interval $0,6$ where $c_i$ is any point in the $i^{th}$ subinterval.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}7x(5-x{)}^{6}dx$

${\displaystyle \underset{6}{\overset{0}{}}}7x^2(5-x{)}^{6}dx$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}7c_i(5-c_i{)}^{2}dx$

${\displaystyle \underset{0}{\overset{6}{}}}7x(5-x{)}^{2}dx$

${\displaystyle \underset{0}{\overset{c_i}{}}}7(w_n{c}_i{)}^{2}d{x}_i$