Inequality with Arc Length Define $L:=\int_{0}^{1}\sqrt{(x'(t))^2+(y'(t))^2} dt$.
Show $L\geq|x(1)-x(0)|$.
I don't know where to start. 

Hint:
$$\int_{0}^{1}\sqrt{(x'(t))^2+(y'(t))^2} dt \ge \int_{0}^{1}\sqrt{(x'(t))^2} dt = \int_{0}^{1} \lvert x'(t) \rvert dt
$$
