Apply Stokes' theorem to evaluate the appropriate integral. Let C be the circle of radius R centered at the origin, and let F = -y3 i+x3j be the vector field.

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Apply Stokes' theorem to evaluate the appropriate integral. Let C be the circle of radius R centered at the origin, and let F = -y<sup>3</sup> i+x<sup>3</sup>j be the vector field.