Question

given F(x,y) =(e^2y, 1+2xe^2y)Where C is given by r(t) =(te^t, 1+t), 0<=t<=1
a) Find a function f such that F = delta f
b) use part a and fundamental theorem of line integrals to evaluate int_(C) F. dr along the given curve C
c) use int_(C) F.dr = int_(C) F (r(t)r'(t))dt to evaluate int_(C) F.dr along the given curve C
Please, help

Answer 1

ah okay so this is a question about conservative vector fields

Answer 2

so what are you having trouble with

Answer 3

b and c

Answer 4

well u know that