- #1
hils0005
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Homework Statement
Calculate [tex]\int[/tex]F dr if C = C1 + C2 where C1 is the line segment from P1(-1,pi,-1) to P2(0,0,0) and C2 is the line segment from P2(0,0,0) to P3(2,0,4)
vectorF= yz i + (xz - e^(z)siny) j + (e^(z)cosy + xy) k
The Attempt at a Solution
Im having problems setting up the C1 integral:
I have it parametrized as x=t, y=-pi t z=t, as t goes 0 to 1
r(t)= t i - pit j + t k
r'(t)= i - pi j + k
F= -pi t^2 i + (t^2-e^(t)sin(pit)) j + (e^(t)cos(pit) + pit^2) k
F dot r'(t) = -pi t^2 + pi e^(t)sin(pit) + e^tcos(pit)
I would then take integral dt as t goes from 0 to 1
I think I have answered C2 correctly, I'm not sure if my parameters are correct