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Doing numerical integration I encountered the following calculation of the Cauchy principal value of the following integral:

$$\int_0^{\pi/2}d\varphi\frac{1}{\cos(\varphi)-c},$$

with $0.

What is the strategy to solve it?

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    You should try $\psi = \tan(\varphi/2)$. See [here](http://en.wikipedia.org/wiki/Tangent_half-angle_formula) for related formulas.2012-08-01

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