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How do integrate this? I wish to see it step by step and I'm glad for any help i can get.

[tex]\int_{ \vec{r}\in{A}} \frac{ \vec{v}+ \vec{\omega}\times\vec{r}}{| \vec{v}+ \vec{\omega}\times\vec{r}|}d^{2}r[/tex]

where A is area of disk with radius R.

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# Vector integral

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