(4 points) Let f be the function dened by f (a3,y, z) = (cc + y)zz. Let F = V f be the gradient vector eld of f. Evaluate the line integral fc F -...

Finding the line integral in the question below. After finding derivative of c(t) not sure what to do and not sure if have correct derivative.

1. (4 points) Let f be the function defined by f (a3,y, z) = (cc + y)zz. Let F = V f be the gradient vectorfield of f.Evaluate the line integral fc F - ds over the path c : [0, 1] —> R3 defined for all 0 S t S 1 by Ca) = (t2 +sin(7rt), t,t5+ m). Hint: Do not rush into complicated calcalations.... t3 1+