MathNet 2005 — Part 01 Question 16

A plane curve is parameterized by $x(t) = \int_{t}^{\infty} \frac{\cos u}{u} du$ and $y(t) = \int_{t}^{\infty} \frac{\sin u}{u} du$ for $1 \leq t \leq 2$. What is the length of the curve?