APFIVE Average Value of a Function
What is the average value of the function $$f(x)=\sqrt{x+2} + \frac{1}{x+1}$$ on the interval $$[0,8]$$?
A
$$\frac{1}{8}\left(\frac{2}{3}\Bigl(10^{\frac{3}{2}}-2^{\frac{3}{2}}\Bigr)+\frac{\ln(9)}{2}\right)$$
B
$$\frac{1}{8}\left(\frac{2}{3}\Bigl(10^{\frac{3}{2}}-2^{\frac{3}{2}}\Bigr)+\ln(8)\right)$$
C
$$\frac{1}{8}\left(\frac{2}{3}\Bigl(10^{\frac{3}{2}}-2^{\frac{3}{2}}\Bigr)+\ln(9)\right)$$
D
$$\frac{1}{8}\left(\frac{2}{3}\Bigl(10^{\frac{3}{2}}-2^{\frac{3}{2}}\Bigr)-\ln(9)\right)$$
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