integrate by variable separable method:
![(1 - {x}^{2} )(1 - y)dx = xy(1 + y)dy (1 - {x}^{2} )(1 - y)dx = xy(1 + y)dy](https://tex.z-dn.net/?f=%281+-++%7Bx%7D%5E%7B2%7D+%29%281+-+y%29dx+%3D+xy%281+%2B+y%29dy)
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