Question 1089512
Use polynomial long division to simplify the function,
{{{y^2/(-y+1)=-(y+1)-1/(y-1)}}}
So then the integration is,
{{{int((y^2/(-y+1)),dy)=int((-(y+1)-1/(y-1)),dy)}}}
{{{int((y^2/(-y+1)),dy)=-(y^2/2+y)-ln(y-1)+C}}}