(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[itex]\displaystyle \int x^2dx+y^2dy+z^2dz[/itex] where C is the line segment from(0,0,0) to (1,2,-1) and (1,2,-1) to (3,2,0)

2. Relevant equations

[itex]\displaystyle\int_c \vec F(t) d \vec r(t)= (x^2 i+ y^2 j+z^2 k)d \vec r(t)[/itex]

where [itex]d \vec r(t)[/itex] for C_1=ti+2tj-tk and [itex] d \vec r(t) for C_1=(1+2t)i+2j+(-1+t)k[/itex]

Therefore [itex] \displaystyle \int_{C1} ((1+2t)^2 i+4^2 j+(-1+t)^2 k)(2i+0j+k)[/itex]

Is this correct so far?

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# Evaluate the Following Line Integral Part 3

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