lst:=[[(b*x+a)*(-b*c*x+a*c)^3,x,2,-1/2*a*c^3*(-b*x+a)^4/b+1/5*c^3*(-b*x+a)^5/b,1],
[(b*x+a)*(-b*c*x+a*c)^2,x,2,-2/3*a*c^2*(-b*x+a)^3/b+1/4*c^2*(-b*x+a)^4/b,1],
[(b*x+a)*(-b*c*x+a*c),x,2,a^2*c*x-1/3*b^2*c*x^3,1],
[(b*x+a)/(-b*c*x+a*c),x,2,-x/c-2*a*ln(-b*x+a)/b/c,1],
[(b*x+a)/(-b*c*x+a*c)^2,x,2,2*a/b/c^2/(-b*x+a)+ln(-b*x+a)/b/c^2,1],
[(b*x+a)/(-b*c*x+a*c)^3,x,1,x/c^3/(-b*x+a)^2,1],
[(b*x+a)/(-b*c*x+a*c)^4,x,2,2/3*a/b/c^4/(-b*x+a)^3-1/2/b/c^4/(-b*x+a)^2,1],
[(b*x+a)/(-b*c*x+a*c)^5,x,2,1/2*a/b/c^5/(-b*x+a)^4-1/3/b/c^5/(-b*x+a)^3,1],
[(b*x+a)/(-b*c*x+a*c)^6,x,2,2/5*a/b/c^6/(-b*x+a)^5-1/4/b/c^6/(-b*x+a)^4,1],
[(b*x+a)^2*(-b*c*x+a*c)^3,x,2,-a^2*c^3*(-b*x+a)^4/b+4/5*a*c^3*(-b*x+a)^5/b-1/6*c^3*(-b*x+a)^6/b,1],
[(b*x+a)^2*(-b*c*x+a*c)^2,x,3,a^4*c^2*x-2/3*a^2*b^2*c^2*x^3+1/5*b^4*c^2*x^5,1],
[(b*x+a)^2*(-b*c*x+a*c),x,2,2/3*a*c*(b*x+a)^3/b-1/4*c*(b*x+a)^4/b,1],
[(b*x+a)^2,x,1,1/3*(b*x+a)^3/b,1],
[(b*x+a)^2/(-b*c*x+a*c),x,2,-3*a*x/c-1/2*b*x^2/c-4*a^2*ln(-b*x+a)/b/c,1],
[(b*x+a)^2/(-b*c*x+a*c)^2,x,2,x/c^2+4*a^2/b/c^2/(-b*x+a)+4*a*ln(-b*x+a)/b/c^2,1],
[(b*x+a)^2/(-b*c*x+a*c)^3,x,2,2*a^2/b/c^3/(-b*x+a)^2-4*a/b/c^3/(-b*x+a)-ln(-b*x+a)/b/c^3,1],
[(b*x+a)^2/(-b*c*x+a*c)^4,x,1,1/6*(b*x+a)^3/a/b/c^4/(-b*x+a)^3,1],
[(b*x+a)^2/(-b*c*x+a*c)^5,x,2,a^2/b/c^5/(-b*x+a)^4-4/3*a/b/c^5/(-b*x+a)^3+1/2/b/c^5/(-b*x+a)^2,1],
[(b*x+a)^2/(-b*c*x+a*c)^6,x,2,4/5*a^2/b/c^6/(-b*x+a)^5-a/b/c^6/(-b*x+a)^4+1/3/b/c^6/(-b*x+a)^3,1],
[(b*x+a)^2/(-b*c*x+a*c)^7,x,2,2/3*a^2/b/c^7/(-b*x+a)^6-4/5*a/b/c^7/(-b*x+a)^5+1/4/b/c^7/(-b*x+a)^4,1],
[(-b*c*x+a*c)^3/(b*x+a),x,2,-7*a^2*c^3*x+2*a*b*c^3*x^2-1/3*b^2*c^3*x^3+8*a^3*c^3*ln(b*x+a)/b,1],
[(-b*c*x+a*c)^2/(b*x+a),x,2,-3*a*c^2*x+1/2*b*c^2*x^2+4*a^2*c^2*ln(b*x+a)/b,1],
[(-b*c*x+a*c)/(b*x+a),x,2,-c*x+2*a*c*ln(b*x+a)/b,1],
[1/(b*x+a),x,1,ln(b*x+a)/b,1],
[1/(b*x+a)/(-b*c*x+a*c),x,2,arctanh(b*x/a)/a/b/c,1],
[1/(b*x+a)/(-b*c*x+a*c)^2,x,3,1/2/a/b/c^2/(-b*x+a)+1/2*arctanh(b*x/a)/a^2/b/c^2,1],
[1/(b*x+a)/(-b*c*x+a*c)^3,x,3,1/4/a/b/c^3/(-b*x+a)^2+1/4/a^2/b/c^3/(-b*x+a)+1/4*arctanh(b*x/a)/a^3/b/c^3,1],
[(-b*c*x+a*c)^3/(b*x+a)^2,x,2,5*a*c^3*x-1/2*b*c^3*x^2-8*a^3*c^3/b/(b*x+a)-12*a^2*c^3*ln(b*x+a)/b,1],
[(-b*c*x+a*c)^2/(b*x+a)^2,x,2,c^2*x-4*a^2*c^2/b/(b*x+a)-4*a*c^2*ln(b*x+a)/b,1],
[(-b*c*x+a*c)/(b*x+a)^2,x,2,-2*a*c/b/(b*x+a)-c*ln(b*x+a)/b,1],
[1/(b*x+a)^2,x,1,-1/b/(b*x+a),1],
[1/(b*x+a)^2/(-b*c*x+a*c),x,3,-1/2/a/b/c/(b*x+a)+1/2*arctanh(b*x/a)/a^2/b/c,1],
[1/(b*x+a)^2/(-b*c*x+a*c)^2,x,3,1/2*x/a^2/c^2/(-b^2*x^2+a^2)+1/2*arctanh(b*x/a)/a^3/b/c^2,1],
[1/(b*x+a)^2/(-b*c*x+a*c)^3,x,3,1/8/a^2/b/c^3/(-b*x+a)^2+1/4/a^3/b/c^3/(-b*x+a)-1/8/a^3/b/c^3/(b*x+a)+3/8*arctanh(b*x/a)/a^4/b/c^3,1],
[(a*x+a)^(5/2)*(-c*x+c)^(5/2),x,5,5/16*a^2*c^2*x*sqrt(a*x+a)*sqrt(-c*x+c)+5/24*a*c*x*(a*x+a)^(3/2)*(-c*x+c)^(3/2)+1/6*x*(a*x+a)^(5/2)*(-c*x+c)^(5/2)+5/8*a^(5/2)*c^(5/2)*arctan(sqrt(c)*sqrt(a*x+a)/sqrt(a)/sqrt(-c*x+c)),1],
[(a*x+a)^(3/2)*(-c*x+c)^(3/2),x,4,3/8*a*c*x*sqrt(a*x+a)*sqrt(-c*x+c)+1/4*x*(a*x+a)^(3/2)*(-c*x+c)^(3/2)+3/4*a^(3/2)*c^(3/2)*arctan(sqrt(c)*sqrt(a*x+a)/sqrt(a)/sqrt(-c*x+c)),1],
[sqrt(a*x+a)*sqrt(-c*x+c),x,3,1/2*x*sqrt(a*x+a)*sqrt(-c*x+c)+sqrt(a)*sqrt(c)*arctan(sqrt(c)*sqrt(a*x+a)/sqrt(a)/sqrt(-c*x+c)),1],
[1/sqrt(a*x+a)/sqrt(-c*x+c),x,2,2*arctan(sqrt(c)*sqrt(a*x+a)/sqrt(a)/sqrt(-c*x+c))/sqrt(a)/sqrt(c),1],
[1/(a*x+a)^(3/2)/(-c*x+c)^(3/2),x,1,x/a/c/sqrt(a*x+a)/sqrt(-c*x+c),1],
[1/(a*x+a)^(5/2)/(-c*x+c)^(5/2),x,2,1/3*x/a/c/(a*x+a)^(3/2)/(-c*x+c)^(3/2)+2/3*x/a^2/c^2/sqrt(a*x+a)/sqrt(-c*x+c),1],
[1/(a*x+a)^(7/2)/(-c*x+c)^(7/2),x,3,1/5*x/a/c/(a*x+a)^(5/2)/(-c*x+c)^(5/2)+4/15*x/a^2/c^2/(a*x+a)^(3/2)/(-c*x+c)^(3/2)+8/15*x/a^3/c^3/sqrt(a*x+a)/sqrt(-c*x+c),1],
[1/(a*x+a)^(9/2)/(-c*x+c)^(9/2),x,4,1/7*x/a/c/(a*x+a)^(7/2)/(-c*x+c)^(7/2)+6/35*x/a^2/c^2/(a*x+a)^(5/2)/(-c*x+c)^(5/2)+8/35*x/a^3/c^3/(a*x+a)^(3/2)/(-c*x+c)^(3/2)+16/35*x/a^4/c^4/sqrt(a*x+a)/sqrt(-c*x+c),1],
[(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2),x,5,5/16*a^4*c^2*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+5/24*a^2*c*x*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)+1/6*x*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)+5/8*a^6*c^(5/2)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b,1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x,4,3/8*a^2*c*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+1/4*x*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)+3/4*a^4*c^(3/2)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c),x,3,1/2*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+a^2*sqrt(c)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b,1],
[1/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,2,2*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b/sqrt(c),1],
[1/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,1,x/a^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,2,1/3*x/a^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+2/3*x/a^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/(b*x+a)^(7/2)/(-b*c*x+a*c)^(7/2),x,3,1/5*x/a^2/c/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2)+4/15*x/a^4/c^2/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+8/15*x/a^6/c^3/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/(b*x+a)^(9/2)/(-b*c*x+a*c)^(9/2),x,4,1/7*x/a^2/c/(b*x+a)^(7/2)/(-b*c*x+a*c)^(7/2)+6/35*x/a^4/c^2/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2)+8/35*x/a^6/c^3/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+16/35*x/a^8/c^4/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[(3-6*x)^(5/2)*(2+4*x)^(5/2),x,5,45/2*sqrt(3/2)*x*sqrt(-4*x^2+1)+15*sqrt(3/2)*x*(-4*x^2+1)^(3/2)+6*sqrt(6)*x*(-4*x^2+1)^(5/2)+45/4*sqrt(3/2)*arcsin(2*x),1],
[(3-6*x)^(3/2)*(2+4*x)^(3/2),x,4,9/2*sqrt(3/2)*x*sqrt(-4*x^2+1)+3*sqrt(3/2)*x*(-4*x^2+1)^(3/2)+9/4*sqrt(3/2)*arcsin(2*x),1],
[sqrt(3-6*x)*sqrt(2+4*x),x,3,sqrt(3/2)*x*sqrt(-4*x^2+1)+1/2*sqrt(3/2)*arcsin(2*x),1],
[1/sqrt(3-6*x)/sqrt(2+4*x),x,2,1/2*arcsin(2*x)/sqrt(6),1],
[1/(3-6*x)^(3/2)/(2+4*x)^(3/2),x,2,1/6*x/sqrt(6)/sqrt(-4*x^2+1),1],
[1/(3-6*x)^(5/2)/(2+4*x)^(5/2),x,3,1/108*x/sqrt(6)/(-4*x^2+1)^(3/2)+1/54*x/sqrt(6)/sqrt(-4*x^2+1),1],
[1/(3-6*x)^(7/2)/(2+4*x)^(7/2),x,4,1/1080*x/sqrt(6)/(-4*x^2+1)^(5/2)+1/810*x/sqrt(6)/(-4*x^2+1)^(3/2)+1/405*x/sqrt(6)/sqrt(-4*x^2+1),1],
[1/(3-6*x)^(9/2)/(2+4*x)^(9/2),x,5,1/9072*x/sqrt(6)/(-4*x^2+1)^(7/2)+1/7560*x/sqrt(6)/(-4*x^2+1)^(5/2)+1/5670*x/sqrt(6)/(-4*x^2+1)^(3/2)+1/2835*x/sqrt(6)/sqrt(-4*x^2+1),1],
[1/(3-x)^(3/2)/(3+x)^(3/2),x,2,1/9*x/sqrt(-x^2+9),1],
[1/(-b*x+3)^(3/2)/(b*x+3)^(3/2),x,2,1/9*x/sqrt(-b^2*x^2+9),1],
[1/(6-2*x)^(3/2)/(3+x)^(3/2),x,2,1/18*x/sqrt(2)/sqrt(-x^2+9),1],
[1/(-2*b*x+6)^(3/2)/(b*x+3)^(3/2),x,2,1/18*x/sqrt(2)/sqrt(-b^2*x^2+9),1],
[1/sqrt(b*x+a)/sqrt(b*d*x-a*d),x,2,2*arctanh(sqrt(d)*sqrt(b*x+a)/sqrt(b*d*x-a*d))/b/sqrt(d),1],
[1/sqrt(b*x-4)/sqrt(b*x+4),x,1,arccosh(1/4*b*x)/b,1],
[1/sqrt(6)/sqrt(b*x-1)/sqrt(b*x+1),x,2,arccosh(b*x)/sqrt(6)/b,1],
[1/sqrt(2*b*x+2)/sqrt(3*b*x-3),x,1,arccosh(b*x)/sqrt(6)/b,1],
[(1-x)^(9/2)*sqrt(1+x),x,6,21/40*(1-x)^(5/2)*(1+x)^(3/2)+3/10*(1-x)^(7/2)*(1+x)^(3/2)+1/6*(1-x)^(9/2)*(1+x)^(3/2)+21/16*x*sqrt(-x^2+1)+7/8*(-x^2+1)^(3/2)+21/16*arcsin(x),1],
[(1-x)^(7/2)*sqrt(1+x),x,5,7/20*(1-x)^(5/2)*(1+x)^(3/2)+1/5*(1-x)^(7/2)*(1+x)^(3/2)+7/8*x*sqrt(-x^2+1)+7/12*(-x^2+1)^(3/2)+7/8*arcsin(x),1],
[(1-x)^(5/2)*sqrt(1+x),x,4,1/4*(1-x)^(5/2)*(1+x)^(3/2)+5/8*x*sqrt(-x^2+1)+5/12*(-x^2+1)^(3/2)+5/8*arcsin(x),1],
[(1-x)^(3/2)*sqrt(1+x),x,3,1/2*x*sqrt(-x^2+1)+1/3*(-x^2+1)^(3/2)+1/2*arcsin(x),1],
[sqrt(1-x)*sqrt(1+x),x,3,1/2*x*sqrt(-x^2+1)+1/2*arcsin(x),1],
[sqrt(1+x)/sqrt(1-x),x,3,-sqrt(1-x)*sqrt(1+x)+arcsin(x),1],
[sqrt(1+x)/(1-x)^(3/2),x,3,2*sqrt(1+x)/sqrt(1-x)-arcsin(x),1],
[sqrt(1+x)/(1-x)^(5/2),x,1,1/3*(1+x)^(3/2)/(1-x)^(3/2),1],
[sqrt(1+x)/(1-x)^(7/2),x,2,1/5*(1+x)^(3/2)/(1-x)^(5/2)+1/15*(1+x)^(3/2)/(1-x)^(3/2),1],
[sqrt(1+x)/(1-x)^(9/2),x,3,1/7*(1+x)^(3/2)/(1-x)^(7/2)+2/35*(1+x)^(3/2)/(1-x)^(5/2)+2/105*(1+x)^(3/2)/(1-x)^(3/2),1],
[sqrt(1+x)/(1-x)^(11/2),x,4,1/9*(1+x)^(3/2)/(1-x)^(9/2)+1/21*(1+x)^(3/2)/(1-x)^(7/2)+2/105*(1+x)^(3/2)/(1-x)^(5/2)+2/315*(1+x)^(3/2)/(1-x)^(3/2),1],
[sqrt(1+x)/(1-x)^(13/2),x,5,1/11*(1+x)^(3/2)/(1-x)^(11/2)+4/99*(1+x)^(3/2)/(1-x)^(9/2)+4/231*(1+x)^(3/2)/(1-x)^(7/2)+8/1155*(1+x)^(3/2)/(1-x)^(5/2)+8/3465*(1+x)^(3/2)/(1-x)^(3/2),1],
[(1-x)^(9/2)*(1+x)^(3/2),x,6,3/14*(1-x)^(7/2)*(1+x)^(5/2)+1/7*(1-x)^(9/2)*(1+x)^(5/2)+9/16*x*sqrt(-x^2+1)+3/8*x*(-x^2+1)^(3/2)+3/10*(-x^2+1)^(5/2)+9/16*arcsin(x),1],
[(1-x)^(7/2)*(1+x)^(3/2),x,5,1/6*(1-x)^(7/2)*(1+x)^(5/2)+7/16*x*sqrt(-x^2+1)+7/24*x*(-x^2+1)^(3/2)+7/30*(-x^2+1)^(5/2)+7/16*arcsin(x),1],
[(1-x)^(5/2)*(1+x)^(3/2),x,4,3/8*x*sqrt(-x^2+1)+1/4*x*(-x^2+1)^(3/2)+1/5*(-x^2+1)^(5/2)+3/8*arcsin(x),1],
[(1-x)^(3/2)*(1+x)^(3/2),x,4,3/8*x*sqrt(-x^2+1)+1/4*x*(-x^2+1)^(3/2)+3/8*arcsin(x),1],
[sqrt(1-x)*(1+x)^(3/2),x,3,1/2*x*sqrt(-x^2+1)-1/3*(-x^2+1)^(3/2)+1/2*arcsin(x),1],
[(1+x)^(3/2)/sqrt(1-x),x,4,-3/2*sqrt(1-x)*sqrt(1+x)-1/2*sqrt(1-x)*(1+x)^(3/2)+3/2*arcsin(x),1],
[(1+x)^(3/2)/(1-x)^(3/2),x,4,3*sqrt(1-x)*sqrt(1+x)+2*(1+x)^(3/2)/sqrt(1-x)-3*arcsin(x),1],
[(1+x)^(3/2)/(1-x)^(5/2),x,4,-2*sqrt(1+x)/sqrt(1-x)+2/3*(1+x)^(3/2)/(1-x)^(3/2)+arcsin(x),1],
[(1+x)^(3/2)/(1-x)^(7/2),x,1,1/5*(1+x)^(5/2)/(1-x)^(5/2),1],
[(1+x)^(3/2)/(1-x)^(9/2),x,2,1/7*(1+x)^(5/2)/(1-x)^(7/2)+1/35*(1+x)^(5/2)/(1-x)^(5/2),1],
[(1+x)^(3/2)/(1-x)^(11/2),x,3,1/9*(1+x)^(5/2)/(1-x)^(9/2)+2/63*(1+x)^(5/2)/(1-x)^(7/2)+2/315*(1+x)^(5/2)/(1-x)^(5/2),1],
[(1+x)^(3/2)/(1-x)^(13/2),x,4,1/11*(1+x)^(5/2)/(1-x)^(11/2)+1/33*(1+x)^(5/2)/(1-x)^(9/2)+2/231*(1+x)^(5/2)/(1-x)^(7/2)+2/1155*(1+x)^(5/2)/(1-x)^(5/2),1],
[(1+x)^(3/2)/(1-x)^(15/2),x,5,1/13*(1+x)^(5/2)/(1-x)^(13/2)+4/143*(1+x)^(5/2)/(1-x)^(11/2)+4/429*(1+x)^(5/2)/(1-x)^(9/2)+8/3003*(1+x)^(5/2)/(1-x)^(7/2)+8/15015*(1+x)^(5/2)/(1-x)^(5/2),1],
[(1-x)^(11/2)*(1+x)^(5/2),x,7,11/72*(1-x)^(9/2)*(1+x)^(7/2)+1/9*(1-x)^(11/2)*(1+x)^(7/2)+55/128*x*sqrt(-x^2+1)+55/192*x*(-x^2+1)^(3/2)+11/48*x*(-x^2+1)^(5/2)+11/56*(-x^2+1)^(7/2)+55/128*arcsin(x),1],
[(1-x)^(9/2)*(1+x)^(5/2),x,6,1/8*(1-x)^(9/2)*(1+x)^(7/2)+45/128*x*sqrt(-x^2+1)+15/64*x*(-x^2+1)^(3/2)+3/16*x*(-x^2+1)^(5/2)+9/56*(-x^2+1)^(7/2)+45/128*arcsin(x),1],
[(1-x)^(7/2)*(1+x)^(5/2),x,5,5/16*x*sqrt(-x^2+1)+5/24*x*(-x^2+1)^(3/2)+1/6*x*(-x^2+1)^(5/2)+1/7*(-x^2+1)^(7/2)+5/16*arcsin(x),1],
[(1-x)^(5/2)*(1+x)^(5/2),x,5,5/16*x*sqrt(-x^2+1)+5/24*x*(-x^2+1)^(3/2)+1/6*x*(-x^2+1)^(5/2)+5/16*arcsin(x),1],
[(1-x)^(3/2)*(1+x)^(5/2),x,4,3/8*x*sqrt(-x^2+1)+1/4*x*(-x^2+1)^(3/2)-1/5*(-x^2+1)^(5/2)+3/8*arcsin(x),1],
[sqrt(1-x)*(1+x)^(5/2),x,4,-1/4*(1-x)^(3/2)*(1+x)^(5/2)+5/8*x*sqrt(-x^2+1)-5/12*(-x^2+1)^(3/2)+5/8*arcsin(x),1],
[(1+x)^(5/2)/sqrt(1-x),x,5,-5/2*sqrt(1-x)*sqrt(1+x)-5/6*sqrt(1-x)*(1+x)^(3/2)-1/3*sqrt(1-x)*(1+x)^(5/2)+5/2*arcsin(x),1],
[(1+x)^(5/2)/(1-x)^(3/2),x,5,15/2*sqrt(1-x)*sqrt(1+x)+5/2*sqrt(1-x)*(1+x)^(3/2)+2*(1+x)^(5/2)/sqrt(1-x)-15/2*arcsin(x),1],
[(1+x)^(5/2)/(1-x)^(5/2),x,5,-5*sqrt(1-x)*sqrt(1+x)-10/3*(1+x)^(3/2)/sqrt(1-x)+2/3*(1+x)^(5/2)/(1-x)^(3/2)+5*arcsin(x),1],
[(1+x)^(5/2)/(1-x)^(7/2),x,5,2*sqrt(1+x)/sqrt(1-x)-2/3*(1+x)^(3/2)/(1-x)^(3/2)+2/5*(1+x)^(5/2)/(1-x)^(5/2)-arcsin(x),1],
[(1+x)^(5/2)/(1-x)^(9/2),x,1,1/7*(1+x)^(7/2)/(1-x)^(7/2),1],
[(1+x)^(5/2)/(1-x)^(11/2),x,2,1/9*(1+x)^(7/2)/(1-x)^(9/2)+1/63*(1+x)^(7/2)/(1-x)^(7/2),1],
[(1+x)^(5/2)/(1-x)^(13/2),x,3,1/11*(1+x)^(7/2)/(1-x)^(11/2)+2/99*(1+x)^(7/2)/(1-x)^(9/2)+2/693*(1+x)^(7/2)/(1-x)^(7/2),1],
[(1+x)^(5/2)/(1-x)^(15/2),x,4,1/13*(1+x)^(7/2)/(1-x)^(13/2)+3/143*(1+x)^(7/2)/(1-x)^(11/2)+2/429*(1+x)^(7/2)/(1-x)^(9/2)+2/3003*(1+x)^(7/2)/(1-x)^(7/2),1],
[(1+x)^(5/2)/(1-x)^(17/2),x,5,1/15*(1+x)^(7/2)/(1-x)^(15/2)+4/195*(1+x)^(7/2)/(1-x)^(13/2)+4/715*(1+x)^(7/2)/(1-x)^(11/2)+8/6435*(1+x)^(7/2)/(1-x)^(9/2)+8/45045*(1+x)^(7/2)/(1-x)^(7/2),1],
[(a*x+1)^(3/2)/sqrt(-a*x+1),x,4,-3/2*sqrt(-a*x+1)*sqrt(a*x+1)/a-1/2*sqrt(-a*x+1)*(a*x+1)^(3/2)/a+3/2*arcsin(a*x)/a,1],
[(a*x+1)^2/sqrt(-a^2*x^2+1),x,2,-1/2*(a*x+4)*sqrt(-a^2*x^2+1)/a+3/2*arcsin(a*x)/a,1],
[(a*x+1)*sqrt(-a^2*x^2+1)/(-a*x+1),x,5,-3/2*sqrt(-a^2*x^2+1)/a-1/2*(a*x+1)*sqrt(-a^2*x^2+1)/a+3/2*arcsin(a*x)/a,1],
[(1-x)^(7/2)/sqrt(1+x),x,6,35/8*sqrt(1-x)*sqrt(1+x)+35/24*(1-x)^(3/2)*sqrt(1+x)+7/12*(1-x)^(5/2)*sqrt(1+x)+1/4*(1-x)^(7/2)*sqrt(1+x)+35/8*arcsin(x),1],
[(1-x)^(5/2)/sqrt(1+x),x,5,5/2*sqrt(1-x)*sqrt(1+x)+5/6*(1-x)^(3/2)*sqrt(1+x)+1/3*(1-x)^(5/2)*sqrt(1+x)+5/2*arcsin(x),1],
[(1-x)^(3/2)/sqrt(1+x),x,4,3/2*sqrt(1-x)*sqrt(1+x)+1/2*(1-x)^(3/2)*sqrt(1+x)+3/2*arcsin(x),1],
[sqrt(1-x)/sqrt(1+x),x,3,sqrt(1-x)*sqrt(1+x)+arcsin(x),1],
[1/sqrt(1-x)/sqrt(1+x),x,2,arcsin(x),1],
[1/(1-x)^(3/2)/sqrt(1+x),x,1,sqrt(1+x)/sqrt(1-x),1],
[1/(1-x)^(5/2)/sqrt(1+x),x,2,1/3*sqrt(1+x)/(1-x)^(3/2)+1/3*sqrt(1+x)/sqrt(1-x),1],
[1/(1-x)^(7/2)/sqrt(1+x),x,3,1/5*sqrt(1+x)/(1-x)^(5/2)+2/15*sqrt(1+x)/(1-x)^(3/2)+2/15*sqrt(1+x)/sqrt(1-x),1],
[1/(1-x)^(9/2)/sqrt(1+x),x,4,1/7*sqrt(1+x)/(1-x)^(7/2)+3/35*sqrt(1+x)/(1-x)^(5/2)+2/35*sqrt(1+x)/(1-x)^(3/2)+2/35*sqrt(1+x)/sqrt(1-x),1],
[1/(1-x)^(11/2)/sqrt(1+x),x,5,1/9*sqrt(1+x)/(1-x)^(9/2)+4/63*sqrt(1+x)/(1-x)^(7/2)+4/105*sqrt(1+x)/(1-x)^(5/2)+8/315*sqrt(1+x)/(1-x)^(3/2)+8/315*sqrt(1+x)/sqrt(1-x),1],
[(1-x)^(7/2)/(1+x)^(3/2),x,6,-2*(1-x)^(7/2)/sqrt(1+x)-35/2*sqrt(1-x)*sqrt(1+x)-35/6*(1-x)^(3/2)*sqrt(1+x)-7/3*(1-x)^(5/2)*sqrt(1+x)-35/2*arcsin(x),1],
[(1-x)^(5/2)/(1+x)^(3/2),x,5,-2*(1-x)^(5/2)/sqrt(1+x)-15/2*sqrt(1-x)*sqrt(1+x)-5/2*(1-x)^(3/2)*sqrt(1+x)-15/2*arcsin(x),1],
[(1-x)^(3/2)/(1+x)^(3/2),x,4,-2*(1-x)^(3/2)/sqrt(1+x)-3*sqrt(1-x)*sqrt(1+x)-3*arcsin(x),1],
[sqrt(1-x)/(1+x)^(3/2),x,3,-2*sqrt(1-x)/sqrt(1+x)-arcsin(x),1],
[1/sqrt(1-x)/(1+x)^(3/2),x,1,-sqrt(1-x)/sqrt(1+x),1],
[1/(1-x)^(3/2)/(1+x)^(3/2),x,2,x/sqrt(-x^2+1),1],
[1/(1-x)^(5/2)/(1+x)^(3/2),x,3,1/3/(1-x)^(3/2)/sqrt(1+x)+2/3*x/sqrt(-x^2+1),1],
[1/(1-x)^(7/2)/(1+x)^(3/2),x,4,1/5/(1-x)^(5/2)/sqrt(1+x)+1/5/(1-x)^(3/2)/sqrt(1+x)+2/5*x/sqrt(-x^2+1),1],
[1/(1-x)^(9/2)/(1+x)^(3/2),x,5,1/7/(1-x)^(7/2)/sqrt(1+x)+4/35/(1-x)^(5/2)/sqrt(1+x)+4/35/(1-x)^(3/2)/sqrt(1+x)+8/35*x/sqrt(-x^2+1),1],
[(1-x)^(9/2)/(1+x)^(5/2),x,7,-2/3*(1-x)^(9/2)/(1+x)^(3/2)+6*(1-x)^(7/2)/sqrt(1+x)+105/2*sqrt(1-x)*sqrt(1+x)+35/2*(1-x)^(3/2)*sqrt(1+x)+7*(1-x)^(5/2)*sqrt(1+x)+105/2*arcsin(x),1],
[(1-x)^(7/2)/(1+x)^(5/2),x,6,-2/3*(1-x)^(7/2)/(1+x)^(3/2)+14/3*(1-x)^(5/2)/sqrt(1+x)+35/2*sqrt(1-x)*sqrt(1+x)+35/6*(1-x)^(3/2)*sqrt(1+x)+35/2*arcsin(x),1],
[(1-x)^(5/2)/(1+x)^(5/2),x,5,-2/3*(1-x)^(5/2)/(1+x)^(3/2)+10/3*(1-x)^(3/2)/sqrt(1+x)+5*sqrt(1-x)*sqrt(1+x)+5*arcsin(x),1],
[(1-x)^(3/2)/(1+x)^(5/2),x,4,-2/3*(1-x)^(3/2)/(1+x)^(3/2)+2*sqrt(1-x)/sqrt(1+x)+arcsin(x),1],
[sqrt(1-x)/(1+x)^(5/2),x,1,-1/3*(1-x)^(3/2)/(1+x)^(3/2),1],
[1/sqrt(1-x)/(1+x)^(5/2),x,2,-1/3*sqrt(1-x)/(1+x)^(3/2)-1/3*sqrt(1-x)/sqrt(1+x),1],
[1/(1-x)^(3/2)/(1+x)^(5/2),x,3,-1/3/sqrt(1-x)/(1+x)^(3/2)+2/3*x/sqrt(-x^2+1),1],
[1/(1-x)^(5/2)/(1+x)^(5/2),x,3,1/3*x/(-x^2+1)^(3/2)+2/3*x/sqrt(-x^2+1),1],
[1/(1-x)^(7/2)/(1+x)^(5/2),x,4,1/5/(1-x)^(5/2)/(1+x)^(3/2)+4/15*x/(-x^2+1)^(3/2)+8/15*x/sqrt(-x^2+1),1],
[1/(1-x)^(9/2)/(1+x)^(5/2),x,5,1/7/(1-x)^(7/2)/(1+x)^(3/2)+1/7/(1-x)^(5/2)/(1+x)^(3/2)+4/21*x/(-x^2+1)^(3/2)+8/21*x/sqrt(-x^2+1),1],
[1/(1-x)^(11/2)/(1+x)^(5/2),x,6,1/9/(1-x)^(9/2)/(1+x)^(3/2)+2/21/(1-x)^(7/2)/(1+x)^(3/2)+2/21/(1-x)^(5/2)/(1+x)^(3/2)+8/63*x/(-x^2+1)^(3/2)+16/63*x/sqrt(-x^2+1),1],
[(-b*x+a)^(1/3)*(b*x+a)^(5/3),x,4,20/27*a^2*(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b-5/9*a*(-b*x+a)^(4/3)*(b*x+a)^(2/3)/b-1/3*(-b*x+a)^(4/3)*(b*x+a)^(5/3)/b-40/27*a^3*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b-20/81*a^3*ln(-b*x+a)/b-20/27*a^3*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(-b*x+a)^(1/3)*(b*x+a)^(2/3),x,3,2/3*a*(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b-1/2*(-b*x+a)^(4/3)*(b*x+a)^(2/3)/b-4/3*a^2*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b-2/9*a^2*ln(-b*x+a)/b-2/3*a^2*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(-b*x+a)^(1/3)/(b*x+a)^(1/3),x,2,(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b-2*a*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b-1/3*a*ln(-b*x+a)/b-a*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(-b*x+a)^(1/3)/(b*x+a)^(4/3),x,2,-3*(-b*x+a)^(1/3)/b/(b*x+a)^(1/3)+sqrt(3)*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/b+1/2*ln(-b*x+a)/b+3/2*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(-b*x+a)^(1/3)/(b*x+a)^(7/3),x,1,-3/8*(-b*x+a)^(4/3)/a/b/(b*x+a)^(4/3),1],
[(-b*x+a)^(1/3)/(b*x+a)^(10/3),x,2,-3/14*(-b*x+a)^(4/3)/a/b/(b*x+a)^(7/3)-9/112*(-b*x+a)^(4/3)/a^2/b/(b*x+a)^(4/3),1],
[(-b*x+a)^(1/3)/(b*x+a)^(13/3),x,3,-3/20*(-b*x+a)^(4/3)/a/b/(b*x+a)^(10/3)-9/140*(-b*x+a)^(4/3)/a^2/b/(b*x+a)^(7/3)-27/1120*(-b*x+a)^(4/3)/a^3/b/(b*x+a)^(4/3),1],
[(-b*x+a)^(1/3)/(b*x+a)^(16/3),x,4,-3/26*(-b*x+a)^(4/3)/a/b/(b*x+a)^(13/3)-27/520*(-b*x+a)^(4/3)/a^2/b/(b*x+a)^(10/3)-81/3640*(-b*x+a)^(4/3)/a^3/b/(b*x+a)^(7/3)-243/29120*(-b*x+a)^(4/3)/a^4/b/(b*x+a)^(4/3),1],
[(-b*x+a)^(1/3)*(b*x+a)^(4/3),x,5,3/5*a*x*(-b*x+a)^(1/3)*(b*x+a)^(1/3)-3/8*(-b*x+a)^(4/3)*(b*x+a)^(4/3)/b+2/5*3^(3/4)*sqrt(2-sqrt(3))*a^5*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(1/3)*(b*x+a)^(1/3),x,4,3/5*x*(-b*x+a)^(1/3)*(b*x+a)^(1/3)+2/5*3^(3/4)*sqrt(2-sqrt(3))*a^4*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(1/3)/(b*x+a)^(2/3),x,4,3/2*(-b*x+a)^(1/3)*(b*x+a)^(1/3)/b+3^(3/4)*sqrt(2-sqrt(3))*a^3*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(1/3)/(b*x+a)^(5/3),x,4,-3/2*(-b*x+a)^(1/3)/b/(b*x+a)^(2/3)-1/2*3^(3/4)*sqrt(2-sqrt(3))*a^2*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(1/3)/(b*x+a)^(8/3),x,5,-3/5*(-b*x+a)^(1/3)/b/(b*x+a)^(5/3)+3/20*(-b*x+a)^(1/3)/a/b/(b*x+a)^(2/3)-1/20*3^(3/4)*sqrt(2-sqrt(3))*a*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(2/3)*(b*x+a)^(7/3),x,5,28/81*a^3*(-b*x+a)^(2/3)*(b*x+a)^(1/3)/b-14/27*a^2*(-b*x+a)^(5/3)*(b*x+a)^(1/3)/b-7/18*a*(-b*x+a)^(5/3)*(b*x+a)^(4/3)/b-1/4*(-b*x+a)^(5/3)*(b*x+a)^(7/3)/b+112/81*a^4*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/sqrt(3)/b+56/243*a^4*ln(b*x+a)/b+56/81*a^4*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[(-b*x+a)^(2/3)*(b*x+a)^(4/3),x,4,8/27*a^2*(-b*x+a)^(2/3)*(b*x+a)^(1/3)/b-4/9*a*(-b*x+a)^(5/3)*(b*x+a)^(1/3)/b-1/3*(-b*x+a)^(5/3)*(b*x+a)^(4/3)/b+32/27*a^3*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/sqrt(3)/b+16/81*a^3*ln(b*x+a)/b+16/27*a^3*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[(-b*x+a)^(2/3)*(b*x+a)^(1/3),x,3,1/3*a*(-b*x+a)^(2/3)*(b*x+a)^(1/3)/b-1/2*(-b*x+a)^(5/3)*(b*x+a)^(1/3)/b+4/3*a^2*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/sqrt(3)/b+2/9*a^2*ln(b*x+a)/b+2/3*a^2*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[(-b*x+a)^(2/3)/(b*x+a)^(2/3),x,2,(-b*x+a)^(2/3)*(b*x+a)^(1/3)/b+4*a*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/sqrt(3)/b+2/3*a*ln(b*x+a)/b+2*a*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[(-b*x+a)^(2/3)/(b*x+a)^(5/3),x,2,-3/2*(-b*x+a)^(2/3)/b/(b*x+a)^(2/3)-sqrt(3)*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/b-1/2*ln(b*x+a)/b-3/2*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[(-b*x+a)^(2/3)/(b*x+a)^(8/3),x,1,-3/10*(-b*x+a)^(5/3)/a/b/(b*x+a)^(5/3),1],
[(-b*x+a)^(2/3)/(b*x+a)^(11/3),x,2,-3/16*(-b*x+a)^(5/3)/a/b/(b*x+a)^(8/3)-9/160*(-b*x+a)^(5/3)/a^2/b/(b*x+a)^(5/3),1],
[(-b*x+a)^(2/3)/(b*x+a)^(14/3),x,3,-3/22*(-b*x+a)^(5/3)/a/b/(b*x+a)^(11/3)-9/176*(-b*x+a)^(5/3)/a^2/b/(b*x+a)^(8/3)-27/1760*(-b*x+a)^(5/3)/a^3/b/(b*x+a)^(5/3),1],
[(-b*x+a)^(2/3)/(b*x+a)^(17/3),x,4,-3/28*(-b*x+a)^(5/3)/a/b/(b*x+a)^(14/3)-27/616*(-b*x+a)^(5/3)/a^2/b/(b*x+a)^(11/3)-81/4928*(-b*x+a)^(5/3)/a^3/b/(b*x+a)^(8/3)-243/49280*(-b*x+a)^(5/3)/a^4/b/(b*x+a)^(5/3),1],
[(-b*x+a)^(2/3)*(b*x+a)^(5/3),x,7,3/7*a*x*(-b*x+a)^(2/3)*(b*x+a)^(2/3)-3/10*(-b*x+a)^(5/3)*(b*x+a)^(5/3)/b-12/7*a^3*x*(1-b^2*x^2/a^2)^(1/3)/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))-6/7*3^(1/4)*sqrt(2+sqrt(3))*a^5*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)+4/7*sqrt(2)*3^(3/4)*a^5*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(2/3)*(b*x+a)^(2/3),x,6,3/7*x*(-b*x+a)^(2/3)*(b*x+a)^(2/3)-12/7*a^2*x*(1-b^2*x^2/a^2)^(1/3)/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))-6/7*3^(1/4)*sqrt(2+sqrt(3))*a^4*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)+4/7*sqrt(2)*3^(3/4)*a^4*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(2/3)/(b*x+a)^(1/3),x,6,3/4*(-b*x+a)^(2/3)*(b*x+a)^(2/3)/b-3*a*x*(1-b^2*x^2/a^2)^(1/3)/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))-3/2*3^(1/4)*sqrt(2+sqrt(3))*a^3*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)+sqrt(2)*3^(3/4)*a^3*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(2/3)/(b*x+a)^(4/3),x,6,-3*(-b*x+a)^(2/3)/b/(b*x+a)^(1/3)+6*x*(1-b^2*x^2/a^2)^(1/3)/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))+3*3^(1/4)*sqrt(2+sqrt(3))*a^2*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)-2*sqrt(2)*3^(3/4)*a^2*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(2/3)/(b*x+a)^(7/3),x,7,-3/4*(-b*x+a)^(2/3)/b/(b*x+a)^(4/3)+3/4*(-b*x+a)^(2/3)/a/b/(b*x+a)^(1/3)-3/4*x*(1-b^2*x^2/a^2)^(1/3)/a/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))-3/8*3^(1/4)*sqrt(2+sqrt(3))*a*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)+1/2*3^(3/4)*a*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(4/3)*(b*x+a)^(8/3),x,6,128/243*a^4*(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b+16/81*a^3*(-b*x+a)^(4/3)*(b*x+a)^(2/3)/b-8/27*a^2*(-b*x+a)^(7/3)*(b*x+a)^(2/3)/b-4/15*a*(-b*x+a)^(7/3)*(b*x+a)^(5/3)/b-1/5*(-b*x+a)^(7/3)*(b*x+a)^(8/3)/b-256/243*a^5*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b-128/729*a^5*ln(-b*x+a)/b-128/243*a^5*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(-b*x+a)^(4/3)*(b*x+a)^(5/3),x,5,40/81*a^3*(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b+5/27*a^2*(-b*x+a)^(4/3)*(b*x+a)^(2/3)/b-5/18*a*(-b*x+a)^(7/3)*(b*x+a)^(2/3)/b-1/4*(-b*x+a)^(7/3)*(b*x+a)^(5/3)/b-80/81*a^4*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b-40/243*a^4*ln(-b*x+a)/b-40/81*a^4*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(-b*x+a)^(4/3)*(b*x+a)^(2/3),x,4,16/27*a^2*(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b+2/9*a*(-b*x+a)^(4/3)*(b*x+a)^(2/3)/b-1/3*(-b*x+a)^(7/3)*(b*x+a)^(2/3)/b-32/27*a^3*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b-16/81*a^3*ln(-b*x+a)/b-16/27*a^3*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(-b*x+a)^(4/3)/(b*x+a)^(1/3),x,3,4/3*a*(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b+1/2*(-b*x+a)^(4/3)*(b*x+a)^(2/3)/b-8/3*a^2*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b-4/9*a^2*ln(-b*x+a)/b-4/3*a^2*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(-b*x+a)^(4/3)/(b*x+a)^(4/3),x,3,-3*(-b*x+a)^(4/3)/b/(b*x+a)^(1/3)-4*(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b+8*a*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b+4/3*a*ln(-b*x+a)/b+4*a*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(-b*x+a)^(4/3)/(b*x+a)^(7/3),x,3,-3/4*(-b*x+a)^(4/3)/b/(b*x+a)^(4/3)+3*(-b*x+a)^(1/3)/b/(b*x+a)^(1/3)-sqrt(3)*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/b-1/2*ln(-b*x+a)/b-3/2*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(-b*x+a)^(4/3)/(b*x+a)^(10/3),x,1,-3/14*(-b*x+a)^(7/3)/a/b/(b*x+a)^(7/3),1],
[(-b*x+a)^(4/3)/(b*x+a)^(13/3),x,2,-3/20*(-b*x+a)^(7/3)/a/b/(b*x+a)^(10/3)-9/280*(-b*x+a)^(7/3)/a^2/b/(b*x+a)^(7/3),1],
[(-b*x+a)^(4/3)/(b*x+a)^(16/3),x,3,-3/26*(-b*x+a)^(7/3)/a/b/(b*x+a)^(13/3)-9/260*(-b*x+a)^(7/3)/a^2/b/(b*x+a)^(10/3)-27/3640*(-b*x+a)^(7/3)/a^3/b/(b*x+a)^(7/3),1],
[(-b*x+a)^(4/3)/(b*x+a)^(19/3),x,4,-3/32*(-b*x+a)^(7/3)/a/b/(b*x+a)^(16/3)-27/832*(-b*x+a)^(7/3)/a^2/b/(b*x+a)^(13/3)-81/8320*(-b*x+a)^(7/3)/a^3/b/(b*x+a)^(10/3)-243/116480*(-b*x+a)^(7/3)/a^4/b/(b*x+a)^(7/3),1],
[(-b*x+a)^(4/3)*(b*x+a)^(7/3),x,6,24/55*a^3*x*(-b*x+a)^(1/3)*(b*x+a)^(1/3)+3/11*a*x*(-b*x+a)^(4/3)*(b*x+a)^(4/3)-3/14*(-b*x+a)^(7/3)*(b*x+a)^(7/3)/b+16/55*3^(3/4)*sqrt(2-sqrt(3))*a^7*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(4/3)*(b*x+a)^(4/3),x,5,24/55*a^2*x*(-b*x+a)^(1/3)*(b*x+a)^(1/3)+3/11*x*(-b*x+a)^(4/3)*(b*x+a)^(4/3)+16/55*3^(3/4)*sqrt(2-sqrt(3))*a^6*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(4/3)*(b*x+a)^(1/3),x,5,3/5*a*x*(-b*x+a)^(1/3)*(b*x+a)^(1/3)+3/8*(-b*x+a)^(4/3)*(b*x+a)^(4/3)/b+2/5*3^(3/4)*sqrt(2-sqrt(3))*a^5*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(4/3)/(b*x+a)^(2/3),x,5,12/5*a*(-b*x+a)^(1/3)*(b*x+a)^(1/3)/b+3/5*(-b*x+a)^(4/3)*(b*x+a)^(1/3)/b+8/5*3^(3/4)*sqrt(2-sqrt(3))*a^4*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(4/3)/(b*x+a)^(5/3),x,5,-3/2*(-b*x+a)^(4/3)/b/(b*x+a)^(2/3)-3*(-b*x+a)^(1/3)*(b*x+a)^(1/3)/b-2*3^(3/4)*sqrt(2-sqrt(3))*a^3*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(4/3)/(b*x+a)^(8/3),x,5,-3/5*(-b*x+a)^(4/3)/b/(b*x+a)^(5/3)+6/5*(-b*x+a)^(1/3)/b/(b*x+a)^(2/3)+2/5*3^(3/4)*sqrt(2-sqrt(3))*a^2*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(-b*x+a)^(4/3)/(b*x+a)^(11/3),x,6,-3/8*(-b*x+a)^(4/3)/b/(b*x+a)^(8/3)+3/10*(-b*x+a)^(1/3)/b/(b*x+a)^(5/3)-3/40*(-b*x+a)^(1/3)/a/b/(b*x+a)^(2/3)+1/40*3^(3/4)*sqrt(2-sqrt(3))*a*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(b*x+a)^(7/3)/(-b*x+a)^(1/3),x,4,-56/27*a^2*(-b*x+a)^(2/3)*(b*x+a)^(1/3)/b-7/9*a*(-b*x+a)^(2/3)*(b*x+a)^(4/3)/b-1/3*(-b*x+a)^(2/3)*(b*x+a)^(7/3)/b+112/27*a^3*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/sqrt(3)/b+56/81*a^3*ln(b*x+a)/b+56/27*a^3*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[(b*x+a)^(4/3)/(-b*x+a)^(1/3),x,3,-4/3*a*(-b*x+a)^(2/3)*(b*x+a)^(1/3)/b-1/2*(-b*x+a)^(2/3)*(b*x+a)^(4/3)/b+8/3*a^2*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/sqrt(3)/b+4/9*a^2*ln(b*x+a)/b+4/3*a^2*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[(b*x+a)^(1/3)/(-b*x+a)^(1/3),x,2,-(-b*x+a)^(2/3)*(b*x+a)^(1/3)/b+2*a*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/sqrt(3)/b+1/3*a*ln(b*x+a)/b+a*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[1/(-b*x+a)^(1/3)/(b*x+a)^(2/3),x,1,sqrt(3)*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/b+1/2*ln(b*x+a)/b+3/2*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[1/(-b*x+a)^(1/3)/(b*x+a)^(5/3),x,1,-3/4*(-b*x+a)^(2/3)/a/b/(b*x+a)^(2/3),1],
[1/(-b*x+a)^(1/3)/(b*x+a)^(8/3),x,2,-3/10*(-b*x+a)^(2/3)/a/b/(b*x+a)^(5/3)-9/40*(-b*x+a)^(2/3)/a^2/b/(b*x+a)^(2/3),1],
[1/(-b*x+a)^(1/3)/(b*x+a)^(11/3),x,3,-3/16*(-b*x+a)^(2/3)/a/b/(b*x+a)^(8/3)-9/80*(-b*x+a)^(2/3)/a^2/b/(b*x+a)^(5/3)-27/320*(-b*x+a)^(2/3)/a^3/b/(b*x+a)^(2/3),1],
[1/(-b*x+a)^(1/3)/(b*x+a)^(14/3),x,4,-3/22*(-b*x+a)^(2/3)/a/b/(b*x+a)^(11/3)-27/352*(-b*x+a)^(2/3)/a^2/b/(b*x+a)^(8/3)-81/1760*(-b*x+a)^(2/3)/a^3/b/(b*x+a)^(5/3)-243/7040*(-b*x+a)^(2/3)/a^4/b/(b*x+a)^(2/3),1],
[(b*x+a)^(5/3)/(-b*x+a)^(1/3),x,7,-15/14*a*(-b*x+a)^(2/3)*(b*x+a)^(2/3)/b-3/7*(-b*x+a)^(2/3)*(b*x+a)^(5/3)/b-30/7*a^2*x*(1-b^2*x^2/a^2)^(1/3)/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))-15/7*3^(1/4)*sqrt(2+sqrt(3))*a^4*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)+10/7*sqrt(2)*3^(3/4)*a^4*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(b*x+a)^(2/3)/(-b*x+a)^(1/3),x,6,-3/4*(-b*x+a)^(2/3)*(b*x+a)^(2/3)/b-3*a*x*(1-b^2*x^2/a^2)^(1/3)/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))-3/2*3^(1/4)*sqrt(2+sqrt(3))*a^3*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)+sqrt(2)*3^(3/4)*a^3*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[1/(-b*x+a)^(1/3)/(b*x+a)^(1/3),x,5,-3*x*(1-b^2*x^2/a^2)^(1/3)/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))-3/2*3^(1/4)*sqrt(2+sqrt(3))*a^2*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)+sqrt(2)*3^(3/4)*a^2*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[1/(-b*x+a)^(1/3)/(b*x+a)^(4/3),x,6,-3/2*(-b*x+a)^(2/3)/a/b/(b*x+a)^(1/3)+3/2*x*(1-b^2*x^2/a^2)^(1/3)/a/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))+3/4*3^(1/4)*sqrt(2+sqrt(3))*a*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)-3^(3/4)*a*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[1/(-b*x+a)^(1/3)/(b*x+a)^(7/3),x,7,-3/8*(-b*x+a)^(2/3)/a/b/(b*x+a)^(4/3)-3/8*(-b*x+a)^(2/3)/a^2/b/(b*x+a)^(1/3)+3/8*x*(1-b^2*x^2/a^2)^(1/3)/a^2/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))+3/16*3^(1/4)*sqrt(2+sqrt(3))*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)-1/4*3^(3/4)*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(b*x+a)^(8/3)/(-b*x+a)^(2/3),x,4,-80/27*a^2*(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b-8/9*a*(-b*x+a)^(1/3)*(b*x+a)^(5/3)/b-1/3*(-b*x+a)^(1/3)*(b*x+a)^(8/3)/b-320/27*a^3*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b-160/81*a^3*ln(-b*x+a)/b-160/27*a^3*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(b*x+a)^(5/3)/(-b*x+a)^(2/3),x,3,-5/3*a*(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b-1/2*(-b*x+a)^(1/3)*(b*x+a)^(5/3)/b-20/3*a^2*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b-10/9*a^2*ln(-b*x+a)/b-10/3*a^2*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[(b*x+a)^(2/3)/(-b*x+a)^(2/3),x,2,-(-b*x+a)^(1/3)*(b*x+a)^(2/3)/b-4*a*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/sqrt(3)/b-2/3*a*ln(-b*x+a)/b-2*a*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[1/(-b*x+a)^(2/3)/(b*x+a)^(1/3),x,1,-sqrt(3)*arctan(1/sqrt(3)-2*(b*x+a)^(1/3)/sqrt(3)/(-b*x+a)^(1/3))/b-1/2*ln(-b*x+a)/b-3/2*ln(1+(b*x+a)^(1/3)/(-b*x+a)^(1/3))/b,1],
[1/(-b*x+a)^(2/3)/(b*x+a)^(4/3),x,1,-3/2*(-b*x+a)^(1/3)/a/b/(b*x+a)^(1/3),1],
[1/(-b*x+a)^(2/3)/(b*x+a)^(7/3),x,2,-3/8*(-b*x+a)^(1/3)/a/b/(b*x+a)^(4/3)-9/16*(-b*x+a)^(1/3)/a^2/b/(b*x+a)^(1/3),1],
[1/(-b*x+a)^(2/3)/(b*x+a)^(10/3),x,3,-3/14*(-b*x+a)^(1/3)/a/b/(b*x+a)^(7/3)-9/56*(-b*x+a)^(1/3)/a^2/b/(b*x+a)^(4/3)-27/112*(-b*x+a)^(1/3)/a^3/b/(b*x+a)^(1/3),1],
[1/(-b*x+a)^(2/3)/(b*x+a)^(13/3),x,4,-3/20*(-b*x+a)^(1/3)/a/b/(b*x+a)^(10/3)-27/280*(-b*x+a)^(1/3)/a^2/b/(b*x+a)^(7/3)-81/1120*(-b*x+a)^(1/3)/a^3/b/(b*x+a)^(4/3)-243/2240*(-b*x+a)^(1/3)/a^4/b/(b*x+a)^(1/3),1],
[(b*x+a)^(4/3)/(-b*x+a)^(2/3),x,5,-12/5*a*(-b*x+a)^(1/3)*(b*x+a)^(1/3)/b-3/5*(-b*x+a)^(1/3)*(b*x+a)^(4/3)/b+8/5*3^(3/4)*sqrt(2-sqrt(3))*a^4*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(b*x+a)^(1/3)/(-b*x+a)^(2/3),x,4,-3/2*(-b*x+a)^(1/3)*(b*x+a)^(1/3)/b+3^(3/4)*sqrt(2-sqrt(3))*a^3*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[1/(-b*x+a)^(2/3)/(b*x+a)^(2/3),x,3,3^(3/4)*sqrt(2-sqrt(3))*a^2*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[1/(-b*x+a)^(2/3)/(b*x+a)^(5/3),x,4,-3/4*(-b*x+a)^(1/3)/a/b/(b*x+a)^(2/3)+1/4*3^(3/4)*sqrt(2-sqrt(3))*a*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[1/(-b*x+a)^(2/3)/(b*x+a)^(8/3),x,5,-3/10*(-b*x+a)^(1/3)/a/b/(b*x+a)^(5/3)-3/10*(-b*x+a)^(1/3)/a^2/b/(b*x+a)^(2/3)+1/10*3^(3/4)*sqrt(2-sqrt(3))*(1-b^2*x^2/a^2)^(2/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(2/3)/(b*x+a)^(2/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(b*x+a)^(7/3)/(-b*x+a)^(4/3),x,4,28/3*a*(-b*x+a)^(2/3)*(b*x+a)^(1/3)/b+7/2*(-b*x+a)^(2/3)*(b*x+a)^(4/3)/b+3*(b*x+a)^(7/3)/b/(-b*x+a)^(1/3)-56/3*a^2*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/sqrt(3)/b-28/9*a^2*ln(b*x+a)/b-28/3*a^2*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[(b*x+a)^(4/3)/(-b*x+a)^(4/3),x,3,4*(-b*x+a)^(2/3)*(b*x+a)^(1/3)/b+3*(b*x+a)^(4/3)/b/(-b*x+a)^(1/3)-8*a*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/sqrt(3)/b-4/3*a*ln(b*x+a)/b-4*a*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[(b*x+a)^(1/3)/(-b*x+a)^(4/3),x,2,3*(b*x+a)^(1/3)/b/(-b*x+a)^(1/3)-sqrt(3)*arctan(1/sqrt(3)-2*(-b*x+a)^(1/3)/sqrt(3)/(b*x+a)^(1/3))/b-1/2*ln(b*x+a)/b-3/2*ln(1+(-b*x+a)^(1/3)/(b*x+a)^(1/3))/b,1],
[1/(-b*x+a)^(4/3)/(b*x+a)^(2/3),x,1,3/2*(b*x+a)^(1/3)/a/b/(-b*x+a)^(1/3),1],
[1/(-b*x+a)^(4/3)/(b*x+a)^(5/3),x,2,3/2/a/b/(-b*x+a)^(1/3)/(b*x+a)^(2/3)-9/8*(-b*x+a)^(2/3)/a^2/b/(b*x+a)^(2/3),1],
[1/(-b*x+a)^(4/3)/(b*x+a)^(8/3),x,3,3/2/a/b/(-b*x+a)^(1/3)/(b*x+a)^(5/3)-9/10*(-b*x+a)^(2/3)/a^2/b/(b*x+a)^(5/3)-27/40*(-b*x+a)^(2/3)/a^3/b/(b*x+a)^(2/3),1],
[1/(-b*x+a)^(4/3)/(b*x+a)^(11/3),x,4,3/2/a/b/(-b*x+a)^(1/3)/(b*x+a)^(8/3)-27/32*(-b*x+a)^(2/3)/a^2/b/(b*x+a)^(8/3)-81/160*(-b*x+a)^(2/3)/a^3/b/(b*x+a)^(5/3)-243/640*(-b*x+a)^(2/3)/a^4/b/(b*x+a)^(2/3),1],
[(b*x+a)^(5/3)/(-b*x+a)^(4/3),x,7,15/4*(-b*x+a)^(2/3)*(b*x+a)^(2/3)/b+3*(b*x+a)^(5/3)/b/(-b*x+a)^(1/3)+15*a*x*(1-b^2*x^2/a^2)^(1/3)/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))+15/2*3^(1/4)*sqrt(2+sqrt(3))*a^3*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)-5*sqrt(2)*3^(3/4)*a^3*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(b*x+a)^(2/3)/(-b*x+a)^(4/3),x,6,3*(b*x+a)^(2/3)/b/(-b*x+a)^(1/3)+6*x*(1-b^2*x^2/a^2)^(1/3)/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))+3*3^(1/4)*sqrt(2+sqrt(3))*a^2*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)-2*sqrt(2)*3^(3/4)*a^2*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[1/(-b*x+a)^(4/3)/(b*x+a)^(1/3),x,6,3/2*(b*x+a)^(2/3)/a/b/(-b*x+a)^(1/3)+3/2*x*(1-b^2*x^2/a^2)^(1/3)/a/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))+3/4*3^(1/4)*sqrt(2+sqrt(3))*a*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)-3^(3/4)*a*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[1/(-b*x+a)^(4/3)/(b*x+a)^(4/3),x,6,3/2*x/a^2/(-b*x+a)^(1/3)/(b*x+a)^(1/3)+3/2*x*(1-b^2*x^2/a^2)^(1/3)/a^2/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))+3/4*3^(1/4)*sqrt(2+sqrt(3))*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)-3^(3/4)*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[1/(-b*x+a)^(4/3)/(b*x+a)^(7/3),x,7,-3/8/a/b/(-b*x+a)^(1/3)/(b*x+a)^(4/3)+15/16*x/a^3/(-b*x+a)^(1/3)/(b*x+a)^(1/3)+15/16*x*(1-b^2*x^2/a^2)^(1/3)/a^3/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))+15/32*3^(1/4)*sqrt(2+sqrt(3))*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*EllipticE(sin(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/a/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)-5/8*3^(3/4)*(1-b^2*x^2/a^2)^(1/3)*(1-(1-b^2*x^2/a^2)^(1/3))*sqrt((1+(1-b^2*x^2/a^2)^(1/3)+(1-b^2*x^2/a^2)^(2/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2)*InverseJacobiAM(arcsin((1+sqrt(3)-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/a/b^2/x/(-b*x+a)^(1/3)/(b*x+a)^(1/3)/sqrt(-(1-(1-b^2*x^2/a^2)^(1/3))/(1-sqrt(3)-(1-b^2*x^2/a^2)^(1/3))^2),1],
[(a-I*a*x)^(7/4)/(a+I*a*x)^(1/4),x,5,14/5*a^2*x/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4)-14/15*I*(a-I*a*x)^(3/4)*(a+I*a*x)^(3/4)-2/5*I*(a-I*a*x)^(7/4)*(a+I*a*x)^(3/4)/a-14/5*a^2*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[(a-I*a*x)^(3/4)/(a+I*a*x)^(1/4),x,4,2*a*x/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4)-2/3*I*(a-I*a*x)^(3/4)*(a+I*a*x)^(3/4)/a-2*a*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),x,3,2*x/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4)-2*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(5/4)/(a+I*a*x)^(1/4),x,3,-2*I/a/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4)+2*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(9/4)/(a+I*a*x)^(1/4),x,3,-4/5*I/a/(a-I*a*x)^(5/4)/(a+I*a*x)^(1/4)+2/5*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^2/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(13/4)/(a+I*a*x)^(1/4),x,4,-4/9*I/a/(a-I*a*x)^(9/4)/(a+I*a*x)^(1/4)-2/45*I/a^2/(a-I*a*x)^(5/4)/(a+I*a*x)^(1/4)+2/15*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^3/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(17/4)/(a+I*a*x)^(1/4),x,5,-4/13*I/a/(a-I*a*x)^(13/4)/(a+I*a*x)^(1/4)-2/117*I/a^2/(a-I*a*x)^(9/4)/(a+I*a*x)^(1/4)-2/117*I/a^3/(a-I*a*x)^(5/4)/(a+I*a*x)^(1/4)+2/39*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^4/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),x,11,-I*(a-I*a*x)^(1/4)*(a+I*a*x)^(3/4)/a+I*arctan(1-sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/sqrt(2)-I*arctan(1+sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/sqrt(2)+I*arctanh(sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4)/(1+sqrt(a+I*a*x)/sqrt(a-I*a*x)))/sqrt(2),1],
[1/(a-I*a*x)^(3/4)/(a+I*a*x)^(1/4),x,10,I*sqrt(2)*arctan(1-sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/a-I*sqrt(2)*arctan(1+sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/a+I*sqrt(2)*arctanh(sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4)/(1+sqrt(a+I*a*x)/sqrt(a-I*a*x)))/a,1],
[1/(a-I*a*x)^(7/4)/(a+I*a*x)^(1/4),x,1,-2/3*I*(a+I*a*x)^(3/4)/a^2/(a-I*a*x)^(3/4),1],
[1/(a-I*a*x)^(11/4)/(a+I*a*x)^(1/4),x,2,-2/7*I*(a+I*a*x)^(3/4)/a^2/(a-I*a*x)^(7/4)-4/21*I*(a+I*a*x)^(3/4)/a^3/(a-I*a*x)^(3/4),1],
[1/(a-I*a*x)^(15/4)/(a+I*a*x)^(1/4),x,3,-2/11*I*(a+I*a*x)^(3/4)/a^2/(a-I*a*x)^(11/4)-8/77*I*(a+I*a*x)^(3/4)/a^3/(a-I*a*x)^(7/4)-16/231*I*(a+I*a*x)^(3/4)/a^4/(a-I*a*x)^(3/4),1],
[1/(a-I*a*x)^(19/4)/(a+I*a*x)^(1/4),x,4,-2/15*I*(a+I*a*x)^(3/4)/a^2/(a-I*a*x)^(15/4)-4/55*I*(a+I*a*x)^(3/4)/a^3/(a-I*a*x)^(11/4)-16/385*I*(a+I*a*x)^(3/4)/a^4/(a-I*a*x)^(7/4)-32/1155*I*(a+I*a*x)^(3/4)/a^5/(a-I*a*x)^(3/4),1],
[(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),x,11,-I*(a-I*a*x)^(3/4)*(a+I*a*x)^(1/4)/a+3*I*arctan(1-sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/sqrt(2)-3*I*arctan(1+sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/sqrt(2)-3*I*arctanh(sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4)/(1+sqrt(a+I*a*x)/sqrt(a-I*a*x)))/sqrt(2),1],
[1/(a-I*a*x)^(1/4)/(a+I*a*x)^(3/4),x,10,I*sqrt(2)*arctan(1-sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/a-I*sqrt(2)*arctan(1+sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/a-I*sqrt(2)*arctanh(sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4)/(1+sqrt(a+I*a*x)/sqrt(a-I*a*x)))/a,1],
[1/(a-I*a*x)^(5/4)/(a+I*a*x)^(3/4),x,1,-2*I*(a+I*a*x)^(1/4)/a^2/(a-I*a*x)^(1/4),1],
[1/(a-I*a*x)^(9/4)/(a+I*a*x)^(3/4),x,2,-2/5*I*(a+I*a*x)^(1/4)/a^2/(a-I*a*x)^(5/4)-4/5*I*(a+I*a*x)^(1/4)/a^3/(a-I*a*x)^(1/4),1],
[1/(a-I*a*x)^(13/4)/(a+I*a*x)^(3/4),x,3,-2/9*I*(a+I*a*x)^(1/4)/a^2/(a-I*a*x)^(9/4)-8/45*I*(a+I*a*x)^(1/4)/a^3/(a-I*a*x)^(5/4)-16/45*I*(a+I*a*x)^(1/4)/a^4/(a-I*a*x)^(1/4),1],
[(a-I*a*x)^(5/4)/(a+I*a*x)^(3/4),x,4,-10/3*I*(a-I*a*x)^(1/4)*(a+I*a*x)^(1/4)-2/3*I*(a-I*a*x)^(5/4)*(a+I*a*x)^(1/4)/a+10/3*a^2*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[(a-I*a*x)^(1/4)/(a+I*a*x)^(3/4),x,3,-2*I*(a-I*a*x)^(1/4)*(a+I*a*x)^(1/4)/a+2*a*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[1/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),x,2,2*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[1/(a-I*a*x)^(7/4)/(a+I*a*x)^(3/4),x,3,-2/3*I*(a+I*a*x)^(1/4)/a^2/(a-I*a*x)^(3/4)+2/3*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/a/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[1/(a-I*a*x)^(11/4)/(a+I*a*x)^(3/4),x,4,-2/7*I*(a+I*a*x)^(1/4)/a^2/(a-I*a*x)^(7/4)-2/7*I*(a+I*a*x)^(1/4)/a^3/(a-I*a*x)^(3/4)+2/7*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/a^2/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[(a-I*a*x)^(7/4)/(a+I*a*x)^(5/4),x,5,14*I*a/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4)-14/3*I*(a-I*a*x)^(3/4)/(a+I*a*x)^(1/4)-2/3*I*(a-I*a*x)^(7/4)/a/(a+I*a*x)^(1/4)+14*a*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[(a-I*a*x)^(3/4)/(a+I*a*x)^(5/4),x,4,6*I/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4)-2*I*(a-I*a*x)^(3/4)/a/(a+I*a*x)^(1/4)+6*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(1/4)/(a+I*a*x)^(5/4),x,3,2*I/a/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4)+2*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(5/4)/(a+I*a*x)^(5/4),x,2,2*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^2/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(9/4)/(a+I*a*x)^(5/4),x,3,-2/5*I/a^2/(a-I*a*x)^(5/4)/(a+I*a*x)^(1/4)+6/5*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^3/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(13/4)/(a+I*a*x)^(5/4),x,4,-2/9*I/a^2/(a-I*a*x)^(9/4)/(a+I*a*x)^(1/4)-2/9*I/a^3/(a-I*a*x)^(5/4)/(a+I*a*x)^(1/4)+2/3*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^4/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[(a-I*a*x)^(5/4)/(a+I*a*x)^(5/4),x,12,4*I*(a-I*a*x)^(5/4)/a/(a+I*a*x)^(1/4)+5*I*(a-I*a*x)^(1/4)*(a+I*a*x)^(3/4)/a-5*I*arctan(1-sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/sqrt(2)+5*I*arctan(1+sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/sqrt(2)-5*I*arctanh(sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4)/(1+sqrt(a+I*a*x)/sqrt(a-I*a*x)))/sqrt(2),1],
[(a-I*a*x)^(1/4)/(a+I*a*x)^(5/4),x,11,4*I*(a-I*a*x)^(1/4)/a/(a+I*a*x)^(1/4)-I*sqrt(2)*arctan(1-sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/a+I*sqrt(2)*arctan(1+sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/a-I*sqrt(2)*arctanh(sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4)/(1+sqrt(a+I*a*x)/sqrt(a-I*a*x)))/a,1],
[1/(a-I*a*x)^(3/4)/(a+I*a*x)^(5/4),x,1,2*I*(a-I*a*x)^(1/4)/a^2/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(7/4)/(a+I*a*x)^(5/4),x,2,2*I/a^2/(a-I*a*x)^(3/4)/(a+I*a*x)^(1/4)-4/3*I*(a+I*a*x)^(3/4)/a^3/(a-I*a*x)^(3/4),1],
[1/(a-I*a*x)^(11/4)/(a+I*a*x)^(5/4),x,3,2*I/a^2/(a-I*a*x)^(7/4)/(a+I*a*x)^(1/4)-8/7*I*(a+I*a*x)^(3/4)/a^3/(a-I*a*x)^(7/4)-16/21*I*(a+I*a*x)^(3/4)/a^4/(a-I*a*x)^(3/4),1],
[(a-I*a*x)^(7/4)/(a+I*a*x)^(7/4),x,12,4/3*I*(a-I*a*x)^(7/4)/a/(a+I*a*x)^(3/4)+7/3*I*(a-I*a*x)^(3/4)*(a+I*a*x)^(1/4)/a-7*I*arctan(1-sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/sqrt(2)+7*I*arctan(1+sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/sqrt(2)+7*I*arctanh(sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4)/(1+sqrt(a+I*a*x)/sqrt(a-I*a*x)))/sqrt(2),1],
[(a-I*a*x)^(3/4)/(a+I*a*x)^(7/4),x,11,4/3*I*(a-I*a*x)^(3/4)/a/(a+I*a*x)^(3/4)-I*sqrt(2)*arctan(1-sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/a+I*sqrt(2)*arctan(1+sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/a+I*sqrt(2)*arctanh(sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4)/(1+sqrt(a+I*a*x)/sqrt(a-I*a*x)))/a,1],
[1/(a-I*a*x)^(1/4)/(a+I*a*x)^(7/4),x,1,2/3*I*(a-I*a*x)^(3/4)/a^2/(a+I*a*x)^(3/4),1],
[1/(a-I*a*x)^(5/4)/(a+I*a*x)^(7/4),x,2,-2*I/a^2/(a-I*a*x)^(1/4)/(a+I*a*x)^(3/4)+4/3*I*(a-I*a*x)^(3/4)/a^3/(a+I*a*x)^(3/4),1],
[1/(a-I*a*x)^(9/4)/(a+I*a*x)^(7/4),x,3,2/3*I/a^2/(a-I*a*x)^(5/4)/(a+I*a*x)^(3/4)-8/15*I*(a+I*a*x)^(1/4)/a^3/(a-I*a*x)^(5/4)-16/15*I*(a+I*a*x)^(1/4)/a^4/(a-I*a*x)^(1/4),1],
[(a-I*a*x)^(9/4)/(a+I*a*x)^(7/4),x,5,4/3*I*(a-I*a*x)^(9/4)/a/(a+I*a*x)^(3/4)+10*I*(a-I*a*x)^(1/4)*(a+I*a*x)^(1/4)+2*I*(a-I*a*x)^(5/4)*(a+I*a*x)^(1/4)/a-10*a^2*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[(a-I*a*x)^(5/4)/(a+I*a*x)^(7/4),x,4,4/3*I*(a-I*a*x)^(5/4)/a/(a+I*a*x)^(3/4)+10/3*I*(a-I*a*x)^(1/4)*(a+I*a*x)^(1/4)/a-10/3*a*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[(a-I*a*x)^(1/4)/(a+I*a*x)^(7/4),x,3,4/3*I*(a-I*a*x)^(1/4)/a/(a+I*a*x)^(3/4)-2/3*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[1/(a-I*a*x)^(3/4)/(a+I*a*x)^(7/4),x,3,2/3*I*(a-I*a*x)^(1/4)/a^2/(a+I*a*x)^(3/4)+2/3*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/a/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[1/(a-I*a*x)^(7/4)/(a+I*a*x)^(7/4),x,3,2/3*x/a^2/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4)+2/3*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/a^2/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[1/(a-I*a*x)^(11/4)/(a+I*a*x)^(7/4),x,4,-2/7*I/a^2/(a-I*a*x)^(7/4)/(a+I*a*x)^(3/4)+10/21*x/a^3/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4)+10/21*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/a^3/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[1/(a-I*a*x)^(15/4)/(a+I*a*x)^(7/4),x,5,-2/11*I/a^2/(a-I*a*x)^(11/4)/(a+I*a*x)^(3/4)-2/11*I/a^3/(a-I*a*x)^(7/4)/(a+I*a*x)^(3/4)+10/33*x/a^4/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4)+10/33*(x^2+1)^(3/4)*InverseJacobiAM(1/2*arctan(x),sqrt(2))/a^4/(a-I*a*x)^(3/4)/(a+I*a*x)^(3/4),1],
[(a-I*a*x)^(7/4)/(a+I*a*x)^(9/4),x,5,4/5*I*(a-I*a*x)^(7/4)/a/(a+I*a*x)^(5/4)-42/5*I/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4)+14/5*I*(a-I*a*x)^(3/4)/a/(a+I*a*x)^(1/4)-42/5*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[(a-I*a*x)^(3/4)/(a+I*a*x)^(9/4),x,4,4/5*I*(a-I*a*x)^(3/4)/a/(a+I*a*x)^(5/4)-6/5*I/a/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4)-6/5*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(1/4)/(a+I*a*x)^(9/4),x,3,4/5*I/a/(a-I*a*x)^(1/4)/(a+I*a*x)^(5/4)+2/5*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^2/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(5/4)/(a+I*a*x)^(9/4),x,3,2/5*I/a^2/(a-I*a*x)^(1/4)/(a+I*a*x)^(5/4)+6/5*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^3/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(9/4)/(a+I*a*x)^(9/4),x,3,2/5*x/a^2/(a-I*a*x)^(5/4)/(a+I*a*x)^(5/4)+6/5*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^4/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(13/4)/(a+I*a*x)^(9/4),x,4,-2/9*I/a^2/(a-I*a*x)^(9/4)/(a+I*a*x)^(5/4)+14/45*x/a^3/(a-I*a*x)^(5/4)/(a+I*a*x)^(5/4)+14/15*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^5/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(17/4)/(a+I*a*x)^(9/4),x,5,-2/13*I/a^2/(a-I*a*x)^(13/4)/(a+I*a*x)^(5/4)-2/13*I/a^3/(a-I*a*x)^(9/4)/(a+I*a*x)^(5/4)+14/65*x/a^4/(a-I*a*x)^(5/4)/(a+I*a*x)^(5/4)+42/65*(x^2+1)^(1/4)*EllipticE(sin(1/2*arctan(x)),sqrt(2))/a^6/(a-I*a*x)^(1/4)/(a+I*a*x)^(1/4),1],
[(a-I*a*x)^(5/4)/(a+I*a*x)^(9/4),x,12,4/5*I*(a-I*a*x)^(5/4)/a/(a+I*a*x)^(5/4)-4*I*(a-I*a*x)^(1/4)/a/(a+I*a*x)^(1/4)+I*sqrt(2)*arctan(1-sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/a-I*sqrt(2)*arctan(1+sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4))/a+I*sqrt(2)*arctanh(sqrt(2)*(a+I*a*x)^(1/4)/(a-I*a*x)^(1/4)/(1+sqrt(a+I*a*x)/sqrt(a-I*a*x)))/a,1],
[(a-I*a*x)^(1/4)/(a+I*a*x)^(9/4),x,1,2/5*I*(a-I*a*x)^(5/4)/a^2/(a+I*a*x)^(5/4),1],
[1/(a-I*a*x)^(3/4)/(a+I*a*x)^(9/4),x,2,2/5*I*(a-I*a*x)^(1/4)/a^2/(a+I*a*x)^(5/4)+4/5*I*(a-I*a*x)^(1/4)/a^3/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(7/4)/(a+I*a*x)^(9/4),x,3,-2/3*I/a^2/(a-I*a*x)^(3/4)/(a+I*a*x)^(5/4)+8/15*I*(a-I*a*x)^(1/4)/a^3/(a+I*a*x)^(5/4)+16/15*I*(a-I*a*x)^(1/4)/a^4/(a+I*a*x)^(1/4),1],
[1/(a-I*a*x)^(11/4)/(a+I*a*x)^(9/4),x,4,2/5*I/a^2/(a-I*a*x)^(7/4)/(a+I*a*x)^(5/4)+12/5*I/a^3/(a-I*a*x)^(7/4)/(a+I*a*x)^(1/4)-48/35*I*(a+I*a*x)^(3/4)/a^4/(a-I*a*x)^(7/4)-32/35*I*(a+I*a*x)^(3/4)/a^5/(a-I*a*x)^(3/4),1],
[1/(-3*e*x+6)^(1/4)/(e*x+2)^(3/4),x,10,-1/3*sqrt(2)*arctan(1-sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))*3^(3/4)/e+1/3*sqrt(2)*arctan(1+sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))*3^(3/4)/e+1/3*sqrt(2)*arctanh(sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4)/(1+sqrt(e*x+2)/sqrt(-e*x+2)))*3^(3/4)/e,1],
[(-b*x+a)^(1/5)*(b*x+a)^(11/5),x,2,5/16*(-b*x+a)^(1/5)*(b*x+a)^(16/5)*hypergeom([-1/5, 16/5],[21/5],1/2*(b*x+a)/a)*2^(1/5)/b/(1-b*x/a)^(1/5),1],
[(-b*x+a)^(1/5)*(b*x+a)^(6/5),x,2,5/11*2^(1/5)*(-b*x+a)^(1/5)*(b*x+a)^(11/5)*hypergeom([-1/5, 11/5],[16/5],1/2*(b*x+a)/a)/b/(1-b*x/a)^(1/5),1],
[(-b*x+a)^(1/5)*(b*x+a)^(1/5),x,2,-5/6*(-b*x+a)^(6/5)*(b*x+a)^(1/5)*hypergeom([-1/5, 6/5],[11/5],1/2*(-b*x+a)/a)*2^(1/5)/b/(1+b*x/a)^(1/5),1],
[(-b*x+a)^(1/5)/(b*x+a)^(4/5),x,2,5*2^(1/5)*(-b*x+a)^(1/5)*(b*x+a)^(1/5)*hypergeom([-1/5, 1/5],[6/5],1/2*(b*x+a)/a)/b/(1-b*x/a)^(1/5),1],
[(-b*x+a)^(1/5)/(b*x+a)^(9/5),x,2,-5/4*(-b*x+a)^(1/5)*hypergeom([-4/5, -1/5],[1/5],1/2*(b*x+a)/a)*2^(1/5)/b/(b*x+a)^(4/5)/(1-b*x/a)^(1/5),1],
[(-b*x+a)^(1/5)/(b*x+a)^(14/5),x,2,-5/9*2^(1/5)*(-b*x+a)^(1/5)*hypergeom([-9/5, -1/5],[-4/5],1/2*(b*x+a)/a)/b/(b*x+a)^(9/5)/(1-b*x/a)^(1/5),1],
[(b*x+a)^2*(-b*c*x+a*c)^n,x,2,-4*a^2*(-b*c*x+a*c)^(1+n)/b/c/(1+n)+4*a*(-b*c*x+a*c)^(2+n)/b/c^2/(2+n)-(-b*c*x+a*c)^(3+n)/b/c^3/(3+n),1],
[(b*x+a)*(-b*c*x+a*c)^n,x,2,-2*a*(-b*c*x+a*c)^(1+n)/b/c/(1+n)+(-b*c*x+a*c)^(2+n)/b/c^2/(2+n),1],
[(-b*c*x+a*c)^n/(b*x+a),x,1,-1/2*(-b*c*x+a*c)^(1+n)*hypergeom([1, 1+n],[2+n],1/2*(-b*x+a)/a)/a/b/c/(1+n),1],
[(-b*c*x+a*c)^n/(b*x+a)^2,x,1,-1/4*(-b*c*x+a*c)^(1+n)*hypergeom([2, 1+n],[2+n],1/2*(-b*x+a)/a)/a^2/b/c/(1+n),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^n,x,2,-2*sqrt(2)*(b*x+a)^(3/2)*(-b*c*x+a*c)^(1+n)*hypergeom([-3/2, 1+n],[2+n],1/2*(-b*x+a)/a)/b/c/(1+n)/(1+b*x/a)^(3/2),1],
[sqrt(b*x+a)*(-b*c*x+a*c)^n,x,2,-sqrt(2)*sqrt(b*x+a)*(-b*c*x+a*c)^(1+n)*hypergeom([-1/2, 1+n],[2+n],1/2*(-b*x+a)/a)/b/c/(1+n)/sqrt(1+b*x/a),1],
[(-b*c*x+a*c)^n/sqrt(b*x+a),x,2,-sqrt(1+b*x/a)*(-b*c*x+a*c)^(1+n)*hypergeom([1/2, 1+n],[2+n],1/2*(-b*x+a)/a)/sqrt(2)/b/c/(1+n)/sqrt(b*x+a),1],
[(-b*c*x+a*c)^n/(b*x+a)^(3/2),x,2,-1/2*(1+b*x/a)^(3/2)*(-b*c*x+a*c)^(1+n)*hypergeom([3/2, 1+n],[2+n],1/2*(-b*x+a)/a)/sqrt(2)/b/c/(1+n)/(b*x+a)^(3/2),1],
[(-b*x+a)^m*(b*x+a)^(-1+m),x,2,2^m*(-b*x+a)^m*(b*x+a)^m*hypergeom([-m, m],[1+m],1/2*(b*x+a)/a)/b/m/((1-b*x/a)^m),1],
[(a*x+a)^m*(-c*x+c)^m,x,2,2^m*(a*x+a)^(1+m)*(-c*x+c)^m*hypergeom([-m, 1+m],[2+m],1/2+1/2*x)/a/(1+m)/((1-x)^m),1],
[(b*x+a)^m*(-b*c*x+a*c)^m,x,2,2^m*(b*x+a)^(1+m)*(-b*c*x+a*c)^m*hypergeom([-m, 1+m],[2+m],1/2*(b*x+a)/a)/b/(1+m)/((1-b*x/a)^m),1],
[(3-6*x)^m*(2+4*x)^m,x,2,6^m*x*hypergeom([1/2, -m],[3/2],4*x^2),1],
[(1-x)^(-1+n)/((1+x)^n),x,1,-(1-x)^n*hypergeom([n, n],[1+n],1/2-1/2*x)/(2^n)/n,1]]: