In each part, evaluate the integralCy dx + z dy x dzalong the stated curve.(a) The line
Chapter 15, Problem 14(choose chapter or problem)
In each part, evaluate the integral
\(\int_{C} y d x+z d y-x d z\)
along the stated curve.
(a) The line segment from \((0, 0, 0) to (1, 1, 1)\).
(b) The twisted cubic \(x=t, y=t^{2}, z=t^{3}\) from \((0, 0, 0) to (1, 1, 1)\).
(c) The helix \(x=\cos \pi t, y=\sin \pi t, z=t\) from \((1, 0, 0) to (−1, 0, 1)\).
Equation Transcription:
Text Transcription:
integral_C ydz + zdy - xdz
(0,0,0) to (1,1,1)
x=t, y=t^2, z=t^3
x=cos pi t, y=sin pi t, z=t
(1,0,0) to (-1,0,1)
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