Integral from an electric field calculation

mardi 30 juillet 2013

Hi all,



Any ideas how to solve this integral?



$$ \int_{0}^{\pi} \frac{(z-R\cos{\theta})\sin{\theta}d\theta}{R^2+z^2-2zr\cos{\theta}}$$



It crops up in a calculation of the electric field for a spherical charged shell. It has a uniform charge smear



Thanks ahead of time






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