If a question says something like: "evaluate [tex]\int[/tex](x*z*y)dx - (x-y)dy + (x^3)dz from (1,0,0,) to (1,0,2pi) along the curve (x,y,z)=(cos(t),sin(t),t)" or something like that, this is just basically splitting up a line integral? In my example, it would be the same as: [tex]\int[/tex]cos(t)*t*sin(t)) * (-sin(t)) dt - [tex]\int[/tex](cos(t)-sin(t))*cos(t) dt ... etc. , which is just: [tex]\int[/tex]<(cos(t)*t*y),-(cos(t)-y),(cos(t)^3)> dot <-sin(t),cos(t),1> dt from t=0 to t=1 ("dot" represents a dot product).(adsbygoogle = window.adsbygoogle || []).push({});

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# Line integral?

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