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Math Help - Vector and Tensor Calculus

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    Vector and Tensor Calculus

    Consider a sphere S of radius R with its center at the origin. Let x be a point on the surface. Using vector/tensor suffix notation, Evaluate

    \int\int_{S} \frac{dA}{r} ; r= \mid x-P \mid

    over the surface of the sphere, where P is a fixed point and integration is withr espect to x. COnsider separately the cases in which P lies inside or outside the sphere.

    Hint: for P outside the sphere, expand 1/r in a taylor series expansion about  \mid x \mid and evaluate each term. For P inside the sphere, expand 1/r about \mid P \mid= 0.

    you're supposed to use the 3 variable form of the taylor expansion.
    Last edited by racnna; September 19th 2009 at 05:59 AM.
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