1
$\begingroup$

My question is: How can I solve the following problem?

$C$ is the curve resulting from the intersection of $x+y+z=0$ with $x^2+y^2+z^2=4$, parameterized counterclockwise as seen from the positive $x$-direction.

Evaluate $\int { ydx + zdy + xdz }$

Thanks.

  • 1
    Have you drawn the graph of both equations to determine $C$? That's the first step. If you already have graphed the equations, could you be more specific about where you're struggling? The more specific you can be about what you've done, where you're stuck, etc., the more helpful we can be. It's also a good idea, when posting homework on this site, to include a sketch of what you've already done: e.g., if you've graphed the equations, can you determine the region(s) over which you need to integrate? How have you approached similar problems in the past, etc.2011-05-23

1 Answers 1