Find the distance traveled (i.e., length) along the curve r(t)=⟨ 5
2
​
t 5/2
− 3
2
​
t 3/2
+37,π 2
−t 2
, 2
1
​
t 2
+t−1⟩ between t=0 and t=3. Simplify your answer as much as possible.