# Santa's Path Length

**Calculus**Level 4

Santa has to deliver a present, but he's very curious how long is the path he needs to travel. Lucky enough his path is well-aproximated by the function \(f(x)=-\sin (x-2.02)+\sin [(x-2.02)^2]+1.834\) on the interval \([0,4.343]\).

Please help Santa and find out the approximative length of the path. You may consult the following post on calcualtion of the length of the function.

**Details and assumptions**

The answer to this Calculus problem is a real number.