The area of the region $$R=\left\{(x,y):xy\leq 8,1\leq y\leq x^{2},x\geq 0\right\}$$ is

A

$$\frac{2}{3}(20\log_{e}{(2)+9})$$

B

$$\frac{1}{3}(40\log_{e}{(2)+27})$$

C

$$\frac{2}{3}(24\log_{e}{(2)-7})$$

D

$$\frac{1}{3}(49\log_{e}{(2)-15})$$