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This is a Korean CSAT mathematics multiple-choice problem. Solve it and put only the correct choice symbol, one of ①, ②, ③, ④, ⑤, inside \boxed{}.
Problem 28 Consider the function f(x) = 1 2 x2 −x+ ln(1 +x), and lettbe a positive real number. Fors >0, let (s, f(s)) be a point on the curve y=f(x). Letg(t) denote the value ofssuch that the distance between the foot of the perpendicular from (s, f(s)) to they-axis and the point where the tangent to the curve at (s, f(s)) meets they-axis is equal tot. Evaluate Z 27 4 1 2 g(t)dt. [4 points] ① 161 12 + ln 3 ② 40 3 + ln 3 ③ 53 4 + ln 2 ④ 79 6 + ln 2 ⑤ 157 12 + ln 2 15 Numerical answer
\boxed{⑤}
Comparative Analysis (P35) (Average across runs)
Averages use reported measurements only. Missing usage is not treated as zero.