What is the length of the path along the graph of between x = 2 and x = 4?

Question

What is the length of the path along the graph of  between x = 2 and x = 4? (4 points)

answer choices

Answer 1

s = ∫₂⁴(1 + y'²)^1/2dx = ∫₂⁴(1 + x²/(16 - x²))^1/2dx = ∫₂⁴4/(16 - x²)^1/2 = 4sin^-1(x/4)₂⁴ = 4sin^-11 - 4sin^-11/2 = 4π/3.

s = 4π/3