What is the length of the curve from y = 0 to y = 1?

Question

What is the length of the curve  from y = 0 to y = 1? (4 points)

answer choices

	1
	None of these

Answer 1

s = ∫₀¹(1 +x'²)^1/2dy = ∫₀¹(1 + y²(y² + 2))^1/2 = ∫₀¹(1 + y²)dy = (y + y³/3)₀¹ = 4/3