Question

Integrate F(r)=[xy,yz,z] along the helix
r(t)=[cos t, sin t, 3t]

Answer 1

integrate ?

Answer 2

yes , line integral

Answer 3

ahh looks straightforward, where are u stuck exactly

Answer 4

\[\int_C \overrightarrow{F} \bullet d\overrightarrow{r} \]

Answer 5

i dont understand it

Answer 6

parameterize and take the dot product

Answer 7

thats it ?

Answer 8

the good thing is, parameterization is already done for you

Answer 9

yes, thats it

Answer 10

r(t)=[cos t, sin t, 3t]
x y z

Answer 11

x = cos t => dx = ?
y = sin t => dy = ?
z = 3t => dz = ?

Answer 12

ok lol ty !
i have exam after an hour with this SH***

Answer 13

remember this :
F is the force field given,
and you're walking alogn the helix

Answer 14

the Force is defined everywhere and it is changing