Could someone provide a reference to calculate this kind of integrals ? for example(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_{0}^{2}dx \frac{cos(x)}{x-1} [/tex]

or in 3-D [tex]\iiint_{D}dx \frac{x-y+z^{2})}{x+y+z} [/tex]

Where 'D' is the cube [-1,1]x[-1,1]x[-1,1]=D

as you can see there is a singularity at x=1 or whenever x+y+z=0 , perhaps the other integral is easier to define if we use polar coordinates , so the singularities appear when r=0

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# Hadamard finite part integral

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