Question

Fundamental theorem of Line integrals

Answer 1

like i am just unsure if i am on the right path

Answer 2

like i am unsure if i shld parameterize

Answer 3

like x(t)= cosx and y(t)=sinx and t is from 0 to pi

Answer 4

so like first we would find the anti derivative of F i guess.
So the antiderivative using partial derivatives i assume is:
f(x,y)=x^3+y^4

Answer 5

looks like the usual process to me ..
from pi/2 to -pi/2

Answer 6

ok

Answer 7

Oops sorry, you were right, i mistook x coordinate for y

Answer 8

ya that is fine