Can someone tell me if this is correct:

Use Simpson's Rule with 10 subintervals to evaluate:

\(\displaystyle \int_{0}^{1} \frac{x}{x+2}\)

This is what i have done:

\(\displaystyle \int_{0}^{1} \frac{x}{x+2} = \frac{1}{30}[\frac{4}{21} + \frac{2}{11} +\frac{3}{23}+\frac{1}{6}+\frac{1}{5}+\frac{6}{13}+\frac{28}{27}+\frac{4}{7}+\frac{36}{29}+\frac{2}{3}]\)

\(\displaystyle \int_{0}^{1} \frac{x}{x+2} = 6.0054\)