- #1
zetafunction
- 391
- 0
Could someone provide a reference to calculate this kind of integrals ? for example
[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
[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