what is the answer

Question

At time t ≥ 0, a particle moving in the xy-plane has velocity given v(t) = <4e^-t, sin(1 + √t )>. What is the total distance the particle travels between t = 1 and t = 3?

A. 1.861

B. 1.983

C. 2.236

D. 4.851

Answer 1

Distance S = ∫₁³(16e^-2t + sin²(1 + √t))^1/2dt = 1.277.

To evaluate this integral I use fnInt function in MATHn menu