YdY=dX/(X^2+X)={1/X−1/(X+1)}dX
Y^2/2+c=logX−log(X+1)
log{X/(X+1)}=Y^2/2+c
Y^2=2log{X/(X+1)}+C
 1=2log(1/2)+C=−2log2+C
 C=1+2log2
でOK?