Question

Use the fundamental theorem of Line Integrals to calculate the following

Answer 1

i am sorry sam but i just cant figure it out. sorry :(

Answer 2

@zarkon can u help me?

Answer 3

@KingGeorge can u help me?

Answer 4

If I'm remembering my line integrals right, it's path-independent so we only have to calculate the line integral from \((5\pi, 0)\) to \((0, 5\pi)\).

Have you learned about path-independence?

Answer 5

ohhhh ya i am soooo dumb

Answer 6

but lets say i wannna parameterize this equation can i?

Answer 7

i dont have to use that method but up until this point i have been parameterizing the x and y and then solving

Answer 8

Let's do this the easy way, and ignore the intermediate paths so we're only worried about the beginning point and the end point. The easiest way to parameterize it would be as a straight line from \[(\pi, \;0) \rightarrow (0, \;5\pi)\]

Answer 9

ohh coool

Answer 10

i am stupid

Answer 11

No you're not. If you were stupid you wouldn't be asking for help when you didn't understand this stuff. This material isn't easy. I had trouble with it too when I took calc 3.

Answer 12

haha Thanks U r a savior

Answer 13

What's the parameterization you're getting?

Answer 14

x=pi-pi(t)
y=5pi(t)
the bounds r from 0 to 1

Answer 15

Looks good to me.

Answer 16

ok I can do th erest on my own. I dont know latex so i hate writing out equations

Answer 17

It's not too bad once you learn it. I had to learn it for a class last semester.