1/x(1-ax)
=-1/a*1/x(x-1/a)
=-[x-(x-1/a)]/x(x-1/a)
=-[1/(x-1/a)-1/x]
原式=∫[1/x-1/(x-1/a)]dx
=ln|x|-ln|x-1/a|+C
=ln|x/(x-1/a)|+C
1/x(1-ax)
=-1/a*1/x(x-1/a)
=-[x-(x-1/a)]/x(x-1/a)
=-[1/(x-1/a)-1/x]
原式=∫[1/x-1/(x-1/a)]dx
=ln|x|-ln|x-1/a|+C
=ln|x/(x-1/a)|+C