I understand how to evaluate a line integral, but I don't know what it represents geometrically. Say you have [tex]\int_{C} x^4yd\mathbf{s}[/tex]. What does this mean geometrically? I can see that [tex]\int d\mathbf{s}[/tex] is the length of the arc (am I correct?), but I just can't seem to figure out what [tex]\int_{C}f(\mathbf{r}(t))||\mathbf{r}'(t)||dt[/tex] means.(adsbygoogle = window.adsbygoogle || []).push({});

Thanks for your help.

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# Meaning of Line Integral

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