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Vector analysis and Stroke's theorem

Apply Stroke's theorem to evaluate the integral over C of (ydx + zdy + xdz), where C is the curve of intersection of the unit sphere x^2+y^2+z^2=1 and the plane x+y+z=0, traced anticlockwise viewed from the side of the positive x-axis

Solution Summary

This uses Stroke's theorem to evaluate an integral over a given curve.