Consider the integral $\displaystyle \int_{1}^{\,10} {(x-4\ln(x))}\,dx.$ Which of the following expressions represents the integral as a limit of Riemann sums?

A. $\displaystyle \underset{n \rightarrow \infty}{\lim} \overset{n}{\underset{i=1}{\sum}}\, \left(\frac{10}{n}\right) \left( 1+\frac{10i}{n} - 4 \ln\left(1+\frac{10i}{n}\right)\right)$
B. $\displaystyle \underset{n \rightarrow \infty}{\lim} \overset{n}{\underset{i=1}{\sum}}\, \left(\frac{10}{n}\right) \left( \frac{10i}{n} - 4 \ln\left(\frac{10i}{n}\right)\right)$
C. $\displaystyle \underset{n \rightarrow \infty}{\lim} \overset{n}{\underset{i=1}{\sum}}\, \left(\frac{9}{n}\right) \left( 1+\frac{9i}{n} - 4 \ln\left(1+\frac{9i}{n}\right)\right)$
D. $\displaystyle \underset{n \rightarrow \infty}{\lim} \overset{n}{\underset{i=1}{\sum}}\, \left( 1+\frac{9i}{n} - 4 \ln\left(1+\frac{9i}{n}\right)\right)$
E. $\displaystyle \underset{n \rightarrow \infty}{\lim} \overset{n}{\underset{i=1}{\sum}}\, \left( \frac{9i}{n} - 4 \ln\left(\frac{9i}{n}\right)\right)$
F. $\displaystyle \underset{n \rightarrow \infty}{\lim} \overset{n}{\underset{i=1}{\sum}}\, \left(\frac{9}{n}\right) \left( \frac{9i}{n} - 4 \ln\left(\frac{9i}{n}\right)\right)$