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## Homework Statement

[itex]\displaystyle \int_c zdx+xdy+ydz[/itex] where C is given by [itex]t^2\vec i +t^3 \vec j +t^2 \vec k[/itex]

Can this [itex]\displaystyle \int_c zdx+xdy+ydz[/itex] be written as [itex]\displaystyle \int_c z\vec i+x \vec j+y \vec k[/itex]?

I believe I need to evalute the integral [itex]\displaystyle \int_c \vec F( \vec r (t)) d\vec r(t)[/itex]....?

How do I proceed?