∫ln(1-x^2)dx=xln(1-x^2)-∫xdln(1-x^2)=xln(1-x^2)-∫x/(1-x^2)*(-2x)dx=xln(1-x^2)-2∫(-x^2)/(1-x^2)dx=xln(1-x^2)-2∫(1-x^2-1)/(1-x^2)dx=xln(1-x^2)-2∫dx+2∫1/(1-x^2)dx=xln(1-x^2)-2∫dx+∫[1/(1-x)+1/(1+...