lst:=[[x^n,x,1,x^(n+1)/(n+1)],
[1/x,x,1,ln(x)],
[exp(x),x,1,exp(x)],
[a^x,x,1,a^x/ln(x)],
[sin(x),x,1,-cos(x)],
[cos(x),x,1,sin(x)],
[1/sin(x)^2,x,1,-cot(x)],
[1/cos(x)^2,x,1,tan(x)],
[sin(x)/cos(x)^2,x,1,sec(x)],
[cos(x)/sin(x)^2,x,1,-csc(x)],
[tan(x),x,1,-ln(cos(x))],
[cot(x),x,1,ln(sin(x))],
[1/sin(x),x,1,ln(tan(1/2*x))],
[1/cos(x),x,1,ln(sec(x)+tan(x))],
[1/(x^2+1),x,1,arctan(x)],
[1/(-x^2+1),x,1,arctanh(x)],
[1/sqrt(-x^2+1),x,1,arcsin(x)],
[1/sqrt(x^2+1),x,1,arcsinh(x)],
[1/sqrt(x^2-1),x,1,ln(x+sqrt(x^2-1))],
[sinh(x),x,1,cosh(x)],
[cosh(x),x,1,sinh(x)],
[1/sinh(x)^2,x,1,-coth(x)],
[1/cosh(x)^2,x,1,tanh(x)],
[tanh(x),x,1,ln(cosh(x))],
[coth(x),x,1,ln(sinh(x))],
[1/sinh(x),x,1,ln(tanh(1/2*x))],
[(b*x+a)^m,x,1,(b*x+a)^(m+1)/b/(m+1)],
[1/(b*x+a),x,1,1/b*ln(b*x+a)],
[x/(b*x+a),x,1,x/b-a/b^2*ln(b*x+a)],
[x^2/(b*x+a),x,1,1/2*x^2/b-a*x/b^2+a^2/b^2*ln(b*x+a)],
[1/(b*x+a)^2,x,1,-1/b/(b*x+a)],
[x/(b*x+a)^2,x,1,-x/b/(b*x+a)+1/b^2*ln(b*x+a)],
[x^2/(b*x+a)^2,x,1,x/b^2-a^2/b^3/(b*x+a)-2*a/b^3*ln(b*x+a)],
[1/(b*x+a)^3,x,1,-1/2/b/(b*x+a)^2],
[x/(b*x+a)^3,x,1,-(x/b+1/2*a/b^2)/(b*x+a)^2],
[x^2/(b*x+a)^3,x,1,(2*a*x/b^2+3/2*a^2/b^3)/(b*x+a)^2+1/b^3*ln(b*x+a)],
[x^3/(b*x+a)^3,x,1,(x^3/b+2*a/b^2*x^2-2*a^2/b^3*x-5/2*a^3/b^4)/(b*x+a)^2-3*a/b^4*ln(b*x+a)],
[1/(b*x+a)^4,x,1,-1/3/b/(b*x+a)^3],
[x/(b*x+a)^4,x,1,-(1/2*x/b+1/6*a/b^2)/(b*x+a)^3],
[x^2/(b*x+a)^4,x,1,-(x^2/b+a*x/b^2+1/3*a^2/b^3)/(b*x+a)^3],
[x^3/(b*x+a)^4,x,1,(3*a/b^2*x^2+9/2*a^2*x/b^2+11/6*a^3/b^4)/(b*x+a)^3+1/b^4*ln(b*x+a)],
[1/(b*x+a)^5,x,1,-1/256/b^4/(b*x+a)^4],
[x/(b*x+a)^5,x,1,-(1/3*x/b+1/12*a/b^2)/(b*x+a)^4],
[x^2/(b*x+a)^5,x,1,-(1/2*x^2/b+1/3*a*x/b^2+1/12*a^2/b^3)/(b*x+a)^4],
[x^3/(b*x+a)^5,x,1,-(x^3/b+3/2*a*x^3/b^2+a^2/b^3*x+1/4*a^3/b^4)/(b*x+a)^4],
[1/x/(b*x+a),x,1,-1/a*ln((b*x+a)/x)],
[1/x^2/(b*x+a),x,1,-1/a/x+b/a^2*ln((b*x+a)/x)],
[1/x^3/(b*x+a),x,1,-1/2/a/x^2+b/a^2/x-b^2/a^3*ln((b*x+a)/x)],
[1/x^2/(b*x+a)^2,x,1,-(1/a/x+2*b/a^2)/(b*x+a)+2*b/a^3*ln((b*x+a)/x)],
[1/x^3/(b*x+a)^2,x,1,(-1/2/a/x^2+3/2*b/a^2/x+3*b^2/a^3)/(b*x+a)-3*b^2/a^4*ln((b*x+a)/x)],
[1/x/(b*x+a)^3,x,1,(3/2/a+b*x/a^2)/(b*x+a)^2-1/a^3*ln((b*x+a)/x)],
[1/x^2/(b*x+a)^3,x,1,-(1/a/x+9/2*b/a^2+3*b^2*x/a^3)/(b*x+a)^2+3*b/a^4*ln((b*x+a)/x)],
[1/x^3/(b*x+a)^3,x,1,(-1/2/a/x^2+2*b/a^2/x+9*b^2/a^3+6*b^3*x/a^4)/(b*x+a)^2-6*b^2/a^5*ln((b*x+a)/x)],
[1/x/(b*x+a)^4,x,1,(11/6/a+5/2*b*x/a^2+b^2*x^2/a^3)/(b*x+a)^3-1/a^4*ln((b*x+a)/x)],
[1/x^2/(b*x+a)^4,x,1,-(1/a/x+22/3*b/a^2+10*b^2*x/a^3+4*b^3*x^2/a^4)/(b*x+a)^3+4*b/a^5*ln((b*x+a)/x)],
[1/x^3/(b*x+a)^4,x,1,(-1/2/a/x^2+5/2*b/a^2/x+55/3*b^2/a^3+25*b^3*x/a^4+10*b^4*x^2/a^5)/(b*x+a)^3-10*b^2/a^6*ln((b*x+a)/x)],
[1/x/(b*x+a)^5,x,1,(25/12/a+13/3*b*x/a^2+7/2*b^2*x^2/a^3+b^3*x^3/a^4)/(b*x+a)^4-1/a^5*ln((b*x+a)/x)],
[1/x^2/(b*x+a)^5,x,1,(-1/a/x-125/12*b/a^2-65/3*b^2*x/a^3-35/2*b^3*x^2/a^4-5*b^4*x^3/a^5)/(b*x+a)^4+5*b/a^6*ln((b*x+a)/x)],
[1/x^3/(b*x+a)^5,x,1,(-1/2/a/x^2+3*b/a^2/x+125/4*b^2/a^3+65*b^2/a^4+105/2*b^4*x^2/a^5+15*b^5*x^3/a^6)/(b*x+a)^4-15*b^2/a^7*ln((b*x+a)/x)],
[1/(b*x^2+a),x,1,1/sqrt(a*b)*arctan(x*sqrt(b/a))],
[x/((b*x^2+a)^m),x,1,-1/2/b/(m-1)/((b*x^2+a)^(m-1))],
[1/(b*x^3+a),x,1,1/3*(a/b)^(1/3)/a*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))+sqrt(3)*arctan(sqrt(3)*x/(2*(a/b)^(1/3)-x)))],
[x/(b*x^3+a),x,1,-1/3/b/(a/b)^(1/3)*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))-sqrt(3)*arctan((2*x-(a/b)^(1/3))/sqrt(3)/(a/b)^(1/3)))],
[x^2/(b*x^3+a),x,1,1/3/b*ln(b*x^3+a)],
[x^3/(b*x^3+a),x,1,x/b-1/3/b*(a/b)^(1/3)*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))+sqrt(3)*arctan(sqrt(3)*x/(2*(a/b)^(1/3)-x)))],
[x^4/(b*x^3+a),x,1,1/2*x^2/b+1/3*a/b^2/(a/b)^(1/3)*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))-sqrt(3)*arctan((2*x-(a/b)^(1/3))/sqrt(3)/(a/b)^(1/3)))],
[1/(b*x^3+a)^2,x,1,1/3*x/a/(b*x^3+a)+2/9/a^2*(a/b)^(1/3)*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))+sqrt(3)*arctan(sqrt(3)*x/(2*(a/b)^(1/3)-x)))],
[x/(b*x^3+a)^2,x,1,1/3*x^2/a/(b*x^3+a)-1/9/a/b/(a/b)^(1/3)*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))-sqrt(3)*arctan((2*x-(a/b)^(1/3))/sqrt(3)/(a/b)^(1/3)))],
[x^2/(b*x^3+a)^2,x,1,-1/3/b/(b*x^3+a)],
[x^3/(b*x^3+a)^2,x,1,-1/3*x/b/(b*x^3+a)+1/9/b*(a/b)^(1/3)/a*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))+sqrt(3)*arctan(sqrt(3)*x/(2*(a/b)^(1/3)-x)))],
[1/x/(b*x^3+a),x,1,1/3/a*ln(x^3/(b*x^3+a))],
[1/x^2/(b*x^3+a),x,1,-1/a/x+1/3/a/(a/b)^(1/3)*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))-sqrt(3)*arctan((2*x-(a/b)^(1/3))/sqrt(3)/(a/b)^(1/3)))],
[1/x^3/(b*x^3+a),x,1,-1/2/a/x^2-1/3*b/a^2*(a/b)^(1/3)*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))+sqrt(3)*arctan(sqrt(3)*x/(2*(a/b)^(1/3)-x)))],
[1/x/(b*x^3+a)^2,x,1,1/3/a/(b*x^3+a)+1/3/a^2*ln(x^3/(b*x^3+a))],
[1/x^2/(b*x^3+a)^2,x,1,-(1/a/x+4/3*b*x^2/a^2)/(b*x^3+a)+4/9/a^2/(a/b)^(1/3)*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))-sqrt(3)*arctan((2*x-(a/b)^(1/3))/sqrt(3)/(a/b)^(1/3)))],
[1/x^3/(b*x^3+a)^2,x,1,-(1/2/a/x^2+5/6*b*x/a^2)/(b*x^3+a)-5/9*b/a^3*(a/b)^(1/3)*(1/2*ln((x+(a/b)^(1/3))^2/(x^2-(a/b)^(1/3)*x+(a/b)^(2/3)))+sqrt(3)*arctan(sqrt(3)*x/(2*(a/b)^(1/3)-x)))],
[1/(b*x^4+a),x,1,1/4*(-a/b)^(1/4)/a*(ln((x+(-a/b)^(1/4))/(x-(-a/b)^(1/4)))+2*arctan(x/(-a/b)^(1/4)))],
[x/(b*x^4+a),x,1,1/2/sqrt(a*b)*arctan(x^2*sqrt(b/a))],
[x^2/(b*x^4+a),x,1,-1/4/b/(-a/b)^(1/4)*(ln((x+(-a/b)^(1/4))/(x-(-a/b)^(1/4)))-2*arctan(x/(-a/b)^(1/4)))],
[x^3/(b*x^4+a),x,1,1/4/b*ln(b*x^4+a)],
[1/(b*x^4+a)^2,x,1,1/4*x/a/(b*x^4+a)+3/16/a^2*(-a/b)^(1/4)*(ln((x+(-a/b)^(1/4))/(x-(-a/b)^(1/4)))+2*arctan(x/(-a/b)^(1/4)))],
[x/(b*x^4+a)^2,x,1,1/4*x^2/a/(b*x^4+a)+1/4/a/sqrt(a*b)*arctan(x^2*sqrt(b/a))],
[x^2/(b*x^4+a)^2,x,1,1/4*x^3/a/(b*x^4+a)-1/16/a/b/(-a/b)^(1/4)*(ln((x+(-a/b)^(1/4))/(x-(-a/b)^(1/4)))-2*arctan(x/(-a/b)^(1/4)))],
[x^3/(b*x^4+a)^2,x,1,-1/4/b/(b*x^4+a)],
[1/x/(b*x^4+a),x,1,1/4/a*ln(x^4/(b*x^4+a))],
[1/x^2/(b*x^4+a),x,1,-1/a/x+1/4/a/(-a/b)^(1/4)*(ln((x+(-a/b)^(1/4))/(x-(-a/b)^(1/4)))-2*arctan(x/(-a/b)^(1/4)))],
[1/(1+x),x,1,ln(1+x)],
[1/(x^2+1),x,1,arctan(x)],
[1/(x^3+1),x,1,1/3*ln((1+x)/sqrt(x^2-x+1))+1/sqrt(3)*arctan(x*sqrt(3)/(2-x))],
[1/(x^4+1),x,1,1/4/sqrt(2)*ln((1+x*sqrt(2)+x^2)/(1-x*sqrt(2)+x^2))+1/2/sqrt(2)*arctan(x*sqrt(2)/(-x^2+1))],
[1/(1-x),x,1,-ln(1-x)],
[1/(-x^2+1),x,1,arctanh(x)],
[1/(x^2-1),x,1,-arccoth(x)],
[1/(-x^3+1),x,1,1/3*ln(sqrt(x^2+x+1)/(1-x))+1/sqrt(3)*arctan(x*sqrt(3)/(2+x))],
[1/(-x^4+1),x,1,1/2*arctanh(x)+1/2*arctan(x)],
[x/(1+x),x,1,x-ln(1+x)],
[x/(x^2+1),x,1,1/2*ln(x^2+1)],
[x/(x^3+1),x,1,-1/6*ln((1+x)^2/(x^2-x+1))+1/sqrt(3)*arctan((2*x-1)/sqrt(3))],
[x/(x^4+1),x,1,1/2*arctan(x^2)],
[x/(1-x),x,1,-ln(1-x)-x],
[x/(-x^2+1),x,1,-1/2*ln(-x^2+1)],
[x/(-x^3+1),x,1,-1/6*ln((1-x)^2/(x^2+x+1))-1/sqrt(3)*arctan((2*x+1)/sqrt(3))],
[x/(-x^4+1),x,1,1/4*ln((x^2+1)/(-x^2+1))],
[1/x/(x^2+1),x,1,ln(x/sqrt(x^2+1))],
[1/x/(-x^2+1),x,1,ln(x/sqrt(-x^2+1))],
[(b*x+a)/(B*x+A),x,1,b*x/B+(-A*b+B*a)/B^2*ln(B*x+A)],
[1/(b*x+a)/(B*x+A),x,1,1/(-A*b+B*a)*ln((B*x+A)/(b*x+a))],
[x/(b*x+a)/(B*x+A),x,1,1/(-A*b+B*a)*(a/b*ln(b*x+a)-A/B*ln(B*x+A))],
[1/(b*x+a)/sqrt(x),x,1,2/sqrt(a*b)*arctan(b*x/a)],
[sqrt(x)/(b*x+a),x,1,2*sqrt(x)/b-2*a/b/sqrt(a*b)*arctan(b*x/a)],
[x*sqrt(x)/(b*x+a),x,1,2*(1/3*x/b-a/b^2)*sqrt(x)+2*a^2/b^2/sqrt(a*b)*arctan(b*x/a)],
[x^2*sqrt(x)/(b*x+a),x,1,2*(1/5*x^2/b-1/3*a*x/b^2+a^2/b^2)*sqrt(x)-2*a^3/b^3/sqrt(a*b)*arctan(b*x/a)],
[1/(b*x+a)^2/sqrt(x),x,1,sqrt(x)/a^2/(b*x+a)/sqrt(a*b)*arctan(b*x/a)],
[sqrt(x)/(b*x+a)^2,x,1,-sqrt(x)/b^2/(b*x+a)/sqrt(a*b)*arctan(b*x/a)],
[x*sqrt(x)/(b*x+a)^2,x,1,2*x*sqrt(x)/b/(b*x+a)+3*a/b^3*sqrt(x)/(b*x+a)/sqrt(a*b)*arctan(b*x/a)],
[x^2*sqrt(x)/(b*x+a)^2,x,1,2*(1/3*x^2/b-5/3*a*x/b^2)*sqrt(x)/(b*x+a)-5*a^2/b^4*sqrt(x)/(b*x+a)/sqrt(a*b)*arctan(b*x/a)],
[1/(b*x+a)^3/sqrt(x),x,1,(1/2/a/(b*x+a)^2+1/4/a^2/(b*x+a))*sqrt(x)+3/4/a^2/sqrt(a*b)*arctan(b*x/a)],
[sqrt(x)/(b*x+a)^3,x,1,(-1/2/b/(b*x+a)^2+1/4/a/b/(b*x+a))*sqrt(x)+1/4/a/b/sqrt(a*b)*arctan(b*x/a)],
[x*sqrt(x)/(b*x+a)^3,x,1,-2*x*sqrt(x)/b/(b*x+a)^2+3*a/b*((-1/2/b/(b*x+a)^2+1/4/a/b/(b*x+a))*sqrt(x)+1/4/a/b/sqrt(a*b)*arctan(b*x/a))],
[x^2*sqrt(x)/(b*x+a)^3,x,1,2*(x^2/b+5*a*x/b^2)*sqrt(x)/(b*x+a)^2-15*a^2/b^2*((-1/2/b/(b*x+a)^2+1/4/a/b/(b*x+a))*sqrt(x)+1/4/a/b/sqrt(a*b)*arctan(b*x/a))],
[1/sqrt(x)/(b*x^2+a),x,1,1/b/(a/b)^(3/4)/sqrt(2)*(ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[sqrt(x)/(b*x^2+a),x,1,1/b/(a/b)^(1/4)/sqrt(2)*(-ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[x*sqrt(x)/(b*x^2+a),x,1,2*sqrt(x)/b-a/b^2/(a/b)^(3/4)/sqrt(2)*(ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[x^2*sqrt(x)/(b*x^2+a),x,1,x*sqrt(x)/b-a/b^2/(a/b)^(1/4)/sqrt(2)*(-ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[1/sqrt(x)/(b*x^2+a)^2,x,1,1/2*sqrt(x)/a/(b*x^2+a)+3/4/a/b/(a/b)^(3/4)/sqrt(2)*(ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[sqrt(x)/(b*x^2+a)^2,x,1,1/2*x*sqrt(x)/a/(b*x^2+a)+1/4/a/b/(a/b)^(1/4)/sqrt(2)*(-ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[x*sqrt(x)/(b*x^2+a)^2,x,1,-1/2*sqrt(x)/b/(b*x^2+a)+1/4/b^2/(a/b)^(3/4)/sqrt(2)*(ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[x^2*sqrt(x)/(b*x^2+a)^2,x,1,-1/2*x*sqrt(x)/b/(b*x^2+a)+3/4/b^2/(a/b)^(1/4)/sqrt(2)*(-ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[1/sqrt(x)/(b*x^2+a)^3,x,1,(1/4/a/(b*x^2+a)^2+7/16/a^2/(b*x^2+a))*sqrt(x)+21/32/a^2/b/(a/b)^(3/4)/sqrt(2)*(ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[sqrt(x)/(b*x^2+a)^3,x,1,(1/4/a/(b*x^2+a)^2+5/16/a^2/(b*x^2+a))*x*sqrt(x)+5/32/a^2/b/(a/b)^(1/4)/sqrt(2)*(-ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[x*sqrt(x)/(b*x^2+a)^3,x,1,1/16*(b*x^2-3*a)*sqrt(x)/a/b/(b*x^2+a)^2+3/32/a/b^2/(a/b)^(3/4)/sqrt(2)*(ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x)))],
[x^2*sqrt(x)/(b*x^2+a)^3,x,1,-2/5*x*sqrt(x)/b/(b*x^2+a)^2+3/5*a/b*((1/4/a/(b*x^2+a)^2+5/16/a^2/(b*x^2+a))*x*sqrt(x)+5/32/a^2/b/(a/b)^(1/4)/sqrt(2)*(-ln((x+(a/b)^(1/4)*sqrt(2*x)+(a/b)^(1/2))/sqrt(b*x^2+a))+arctan((a/b)^(1/4)*sqrt(2*x)/((a/b)^(1/2)-x))))],
[1/sqrt(b*x+a),x,1,2/b*sqrt(b*x+a)],
[x/sqrt(b*x+a),x,1,2*(1/3*b*x-2/3*a)*sqrt(b*x+a)/b^2],
[x^2/sqrt(b*x+a),x,1,2*(1/5*(b*x+a)^2-2/3*a*(b*x+a)+a^2)*sqrt(b*x+a)/b^3],
[1/sqrt((b*x+a)^3),x,1,-2/b/sqrt(b*x+a)],
[x/sqrt((b*x+a)^3),x,1,2*(b*x+2*a)/b^2/sqrt(b*x+a)],
[x^2/sqrt((b*x+a)^3),x,1,2*(1/3*(b*x+a)^2-2*a*(b*x+a)-a^2)/b^3/sqrt(b*x+a)],
[1/x/sqrt(b*x+a),x,1,1/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a)))],
[sqrt(b*x+a)/x,x,1,2*sqrt(b*x+a)+a/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a)))],
[sqrt(b*x+a)/x^2,x,1,-sqrt(b*x+a)/x+1/2*b/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a)))],
[sqrt(b*x+a)/x^3,x,1,-1/2*sqrt((b*x+a)^3)/a/x^2+1/4*b*sqrt(b*x+a)/a/x-1/8*b^2/a/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a)))],
[sqrt((b*x+a)^3)/x,x,1,2*(1/3*b*x+4/3*a)*sqrt(b*x+a)+a^2/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a)))],
[sqrt((b*x+a)^3)/x^2,x,1,-sqrt((b*x+a)^5)/a/x+3/2*b/a*(2*(1/3*b*x+4/3*a)*sqrt(b*x+a)+a^2/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a))))],
[sqrt((b*x+a)^3)/x^3,x,1,-(1/2/a/x^2+1/4*b/a^2/x)*sqrt((b*x+a)^5)+3/8*b^2/a^2*(-1/2*sqrt((b*x+a)^3)/a/x^2+1/4*b*sqrt(b*x+a)/a/x-1/8*b^2/a/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a))))],
[1/x^2/sqrt(b*x+a),x,1,-sqrt(b*x+a)/a/x-1/2*b/x/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a)))],
[1/x^3/sqrt(b*x+a),x,1,(-1/2/a/x^2+3/4*b/a^2/x)*sqrt(b*x+a)+3/8*b^2/a^2/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a)))],
[1/x/sqrt((b*x+a)^3),x,1,2/a/sqrt(b*x+a)+1/a/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a)))],
[1/x^2/sqrt((b*x+a)^3),x,1,(-1/a/x-3*b/a^2)/sqrt(b*x+a)-3/2*b/a^2/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a)))],
[1/x^3/sqrt((b*x+a)^3),x,1,(-1/2/a/x^2+5/4*b/a^2/x+15/4*b^2/a^3)/sqrt(b*x+a)+15/8*b^2/a^2/sqrt(a)*ln((sqrt(b*x+a)-sqrt(a))/(sqrt(b*x+a)+sqrt(a)))],
[1/x/((b*x+a)^2)^(1/3),x,1,1/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))-sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[(b*x+a)^(1/3)/x,x,1,3*(b*x+a)^(1/3)+a/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))-sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[(b*x+a)^(1/3)/x^2,x,1,-(b*x+a)^(4/3)/a/x+b/a*(b*x+a)^(1/3)+1/3*b/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))-sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[(b*x+a)^(1/3)/x^3,x,1,(-1/2/a/x^2+1/3*b/a^2/x)*(b*x+a)^(4/3)-1/3*b^2/a^2*(b*x+a)^(1/3)-1/9*b^2/a/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))-sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[1/x^2/((b*x+a)^2)^(1/3),x,1,-(b*x+a)^(1/3)/a/x-2/3*b/a/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))-sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[1/x^3/((b*x+a)^2)^(1/3),x,1,(-1/2/a/x^2+5/6*b/a^2/x)*(b*x+a)^(1/3)+5/9*b^2/a^2/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))-sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[1/x/(b*x+a)^(1/3),x,1,1/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))+sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[((b*x+a)^2)^(1/3)/x,x,1,3/2*((b*x+a)^2)^(1/3)+a/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))+sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[((b*x+a)^2)^(1/3)/x^2,x,1,-((b*x+a)^5)^(1/3)/a/x+b/a*((b*x+a)^2)^(1/3)+b/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))+sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[((b*x+a)^3)^(1/3)/x^2,x,1,(-1/2/a/x^2+1/6*b/a^3)*(b*x+a)^(5/3)-1/6*b^2/a^2*((b*x+a)^2)^(1/3)-1/9*b^2/a/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))+sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[1/x^2/(b*x+a)^(1/3),x,1,-((b*x+a)^2)^(1/3)/a/x-1/3*b/a/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))+sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[1/x^3/(b*x+a)^(1/3),x,1,(-1/2/a/x^2+2/3*b/a^2/x)*(b*x+a)^(1/3)+2/9*b^2/a^2/(a^2)^(1/3)*(3/2*ln(((b*x+a)^(1/3)-a^(1/3))/x^(1/3))+sqrt(3)*arctan(sqrt(3)*(b*x+a)^(1/3)/((b*x+a)^(1/3)+2*a^(1/3))))],
[(beta*x+alpha)/sqrt(b*x+a),x,1,2*alpha*sqrt(b*x+a)/b+2*beta*(1/3*b*x-2/3*a)*sqrt(b*x+a)/b^2]]:
