Line Integrals

  • #1
Greetings All,

I need serious help with this problem , well maybe several problems but I'll take it one at a time:

Compute the line integral of (4xz + 2y)dx where C is the line segment from (2,1,0) to (4,0,2).

Thanks
 

Answers and Replies

  • #2
[tex] \int_c f(x,y,z) ds = \int_a^b f(x(t), y(t), z(t)) \sqrt { \left( \frac{dx}{dt} \right)^2 + \left( \frac{dy}{dt} \right)^2 + \left( \frac{dz}{dt} \right)^2 } [/tex]

so, you need to parametricize your line in space. par exemple:

[tex] \begin{align*}
x=2 + 2t \\
y=1 - t \\
z=2t \\
0<t<1
\end{align*}
[/tex]

those are *supposed* to be "less than or equal to" signs, but i never was able to find those.....

anyhow, you ought to be set to solve this puppy, unless you made it to here and collapsed....
 
Last edited:
  • #3
998
0
Well, he didn't have any annoying [itex]ds[/itex] to deal with.

All he needs to do is parameterize the curve and plug in for x, y, z, dx.
 
  • #4
oh, indeed, it is a dx. ecks, ess, they sound so similar in my noisy head...
 
  • #5
Hippo
What a strange problem.
 

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