- #1

- 15

- 0

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

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- Thread starter PhysicsMajor
- Start date

- #1

- 15

- 0

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

- #2

- 75

- 0

[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....

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

All he needs to do is parameterize the curve and plug in for x, y, z, dx.

- #4

- 75

- 0

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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