Which of the following are equivalent to $\int_{0}^{5} \frac{3 x+11}{x+2} d x$ ?
1. $\frac{\int_{0}^{5}(3 x+11) d x}{\int_{0}^{5}(x+2) d x}$
11. $\int_{0}^{5}\left(3+\frac{5}{x+2}\right) d x$
III. $\int_{2}^{7}\left(3+\frac{5}{u}\right) d u$
(A) I only
(B) II only
(C) III only
(D) II and III only

Step 1 ：First, calculate the original integral \(\int_{0}^{5} \frac{3 x+11}{x+2} d x\).

Step 2 ：Next, calculate the integral for option I: \(\frac{\int_{0}^{5}(3 x+11) d x}{\int_{0}^{5}(x+2) d x}\).

Step 3 ：Then, calculate the integral for option II: \(\int_{0}^{5}\left(3+\frac{5}{x+2}\right) d x\).

Step 4 ：Finally, calculate the integral for option III: \(\int_{2}^{7}\left(3+\frac{5}{u}\right) d u\).

Step 5 ：Compare the results of the original integral with the results of options I, II, and III.

Step 6 ：The original integral is equal to options II and III, but not option I.

Step 7 ：Thus, the correct answer is (D) II and III only.

Step 8 ：Final Answer: \(\boxed{\text{(D) II and III only}}\)