Question $2$

The expression $\frac{7}{6}cs{c}^{-1}(5+\frac{7}{6})+\frac{7}{6}cs{c}^{-1}(5+\frac{7}{3})+\frac{7}{6}cs{c}^{-1}(5+\frac{7}{2})+\frac{7}{6}cs{c}^{-1}(5+\frac{14}{3})+\frac{7}{6}cs{c}^{-1}(5+\frac{35}{6})+\frac{7}{6}cs{c}^{-1}(5+7)$ is a Riemann sum approximation of which of the following integrals?

Your answer:

${\displaystyle \underset{3}{\overset{10}{}}}cs{c}^{-1}(2+\frac{x}{6})dx$

$\frac{1}{6}{\displaystyle \underset{0}{\overset{6}{}}}cs{c}^{-1}(2+x)dx$

$\frac{1}{6}{\displaystyle \underset{3}{\overset{10}{}}}cs{c}^{-1}(2+x)dx$

${\displaystyle \underset{3}{\overset{10}{}}}cs{c}^{-1}(2+x)dx$

${\displaystyle \underset{0}{\overset{6}{}}}cs{c}^{-1}(3+x)dx$