- #1
Oakwater
- 5
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Homework Statement
∫(zdx+xdy+ydz)
along the curve C: x(t)= cos(t), y(t)= sin(t), z = 3t,
Boundaries are 0 and 2pi
Homework Equations
General integration and differentation.
The Attempt at a Solution
given the values I calculated that:
Using chain rule:
dx = -sintdt
dy = costdt
dz = 3dt
i then resubbed into the original equation to get:
∫(-3tsin(t)dt + cos^2(t)dt + 3sin(t)dt)
this is where I've got stuck, I attempted to integrate by parts the first term however it seems to get stuck in an endless loop, I'm not sure where to go from there.