A table of values of a function f with continuous gradient is given. Find 

C

∇f · dr,

 where C has the parametric equations below.

x = t³ + 1      y = t⁵ + t      0 ≤ t ≤ 1

xy	0	1	2
0	2	8	1
1	2	5	6
2	9	3	8