lst:=[[(b*x+a)^6/(-b^2*x^2+a^2),x,3,-16*a^4*x-4*a^3*(b*x+a)^2/b-4/3*a^2*(b*x+a)^3/b-1/2*a*(b*x+a)^4/b-1/5*(b*x+a)^5/b-32*a^5*ln(-b*x+a)/b,1],
[(b*x+a)^5/(-b^2*x^2+a^2),x,3,-8*a^3*x-2*a^2*(b*x+a)^2/b-2/3*a*(b*x+a)^3/b-1/4*(b*x+a)^4/b-16*a^4*ln(-b*x+a)/b,1],
[(b*x+a)^4/(-b^2*x^2+a^2),x,3,-4*a^2*x-a*(b*x+a)^2/b-1/3*(b*x+a)^3/b-8*a^3*ln(-b*x+a)/b,1],
[(b*x+a)^3/(-b^2*x^2+a^2),x,3,-3*a*x-1/2*b*x^2-4*a^2*ln(-b*x+a)/b,1],
[(b*x+a)^2/(-b^2*x^2+a^2),x,3,-x-2*a*ln(-b*x+a)/b,1],
[(b*x+a)/(-b^2*x^2+a^2),x,2,-ln(-b*x+a)/b,1],
[1/(b*x+a)/(-b^2*x^2+a^2),x,4,-1/2/a/b/(b*x+a)+1/2*arctanh(b*x/a)/a^2/b,1],
[1/(b*x+a)^2/(-b^2*x^2+a^2),x,4,-1/4/a/b/(b*x+a)^2-1/4/a^2/b/(b*x+a)+1/4*arctanh(b*x/a)/a^3/b,1],
[1/(b*x+a)^3/(-b^2*x^2+a^2),x,4,-1/6/a/b/(b*x+a)^3-1/8/a^2/b/(b*x+a)^2-1/8/a^3/b/(b*x+a)+1/8*arctanh(b*x/a)/a^4/b,1],
[1/(b*x+a)^4/(-b^2*x^2+a^2),x,4,-1/8/a/b/(b*x+a)^4-1/12/a^2/b/(b*x+a)^3-1/16/a^3/b/(b*x+a)^2-1/16/a^4/b/(b*x+a)+1/16*arctanh(b*x/a)/a^5/b,1],
[(b*x+a)^7/(-b^2*x^2+a^2)^2,x,3,49*a^3*x+23/2*a^2*b*x^2+7/3*a*b^2*x^3+1/4*b^3*x^4+32*a^5/b/(-b*x+a)+80*a^4*ln(-b*x+a)/b,1],
[(b*x+a)^6/(-b^2*x^2+a^2)^2,x,3,17*a^2*x+3*a*b*x^2+1/3*b^2*x^3+16*a^4/b/(-b*x+a)+32*a^3*ln(-b*x+a)/b,1],
[(b*x+a)^5/(-b^2*x^2+a^2)^2,x,3,5*a*x+1/2*b*x^2+8*a^3/b/(-b*x+a)+12*a^2*ln(-b*x+a)/b,1],
[(b*x+a)^4/(-b^2*x^2+a^2)^2,x,3,x+4*a^2/b/(-b*x+a)+4*a*ln(-b*x+a)/b,1],
[(b*x+a)^3/(-b^2*x^2+a^2)^2,x,3,2*a/b/(-b*x+a)+ln(-b*x+a)/b,1],
[(b*x+a)^2/(-b^2*x^2+a^2)^2,x,2,1/b/(-b*x+a),1],
[(b*x+a)/(-b^2*x^2+a^2)^2,x,4,1/2/a/b/(-b*x+a)+1/2*arctanh(b*x/a)/a^2/b,1],
[1/(b*x+a)/(-b^2*x^2+a^2)^2,x,4,1/8/a^3/b/(-b*x+a)-1/8/a^2/b/(b*x+a)^2-1/4/a^3/b/(b*x+a)+3/8*arctanh(b*x/a)/a^4/b,1],
[1/(b*x+a)^2/(-b^2*x^2+a^2)^2,x,4,1/16/a^4/b/(-b*x+a)-1/12/a^2/b/(b*x+a)^3-1/8/a^3/b/(b*x+a)^2-3/16/a^4/b/(b*x+a)+1/4*arctanh(b*x/a)/a^5/b,1],
[1/(b*x+a)^3/(-b^2*x^2+a^2)^2,x,4,1/32/a^5/b/(-b*x+a)-1/16/a^2/b/(b*x+a)^4-1/12/a^3/b/(b*x+a)^3-3/32/a^4/b/(b*x+a)^2-1/8/a^5/b/(b*x+a)+5/32*arctanh(b*x/a)/a^6/b,1],
[(b*x+a)^8/(-b^2*x^2+a^2)^3,x,3,-31*a^2*x-4*a*b*x^2-1/3*b^2*x^3+16*a^5/b/(-b*x+a)^2-80*a^4/b/(-b*x+a)-80*a^3*ln(-b*x+a)/b,1],
[(b*x+a)^7/(-b^2*x^2+a^2)^3,x,3,-7*a*x-1/2*b*x^2+8*a^4/b/(-b*x+a)^2-32*a^3/b/(-b*x+a)-24*a^2*ln(-b*x+a)/b,1],
[(b*x+a)^6/(-b^2*x^2+a^2)^3,x,3,-x+4*a^3/b/(-b*x+a)^2-12*a^2/b/(-b*x+a)-6*a*ln(-b*x+a)/b,1],
[(b*x+a)^5/(-b^2*x^2+a^2)^3,x,3,2*a^2/b/(-b*x+a)^2-4*a/b/(-b*x+a)-ln(-b*x+a)/b,1],
[(b*x+a)^4/(-b^2*x^2+a^2)^3,x,2,x/(-b*x+a)^2,1],
[(b*x+a)^3/(-b^2*x^2+a^2)^3,x,2,1/2/b/(-b*x+a)^2,1],
[(b*x+a)^2/(-b^2*x^2+a^2)^3,x,4,1/4/a/b/(-b*x+a)^2+1/4/a^2/b/(-b*x+a)+1/4*arctanh(b*x/a)/a^3/b,1],
[(b*x+a)/(-b^2*x^2+a^2)^3,x,4,1/8/a^2/b/(-b*x+a)^2+1/4/a^3/b/(-b*x+a)-1/8/a^3/b/(b*x+a)+3/8*arctanh(b*x/a)/a^4/b,1],
[1/(b*x+a)/(-b^2*x^2+a^2)^3,x,4,1/32/a^4/b/(-b*x+a)^2+1/8/a^5/b/(-b*x+a)-1/24/a^3/b/(b*x+a)^3-3/32/a^4/b/(b*x+a)^2-3/16/a^5/b/(b*x+a)+5/16*arctanh(b*x/a)/a^6/b,1],
[1/(b*x+a)^2/(-b^2*x^2+a^2)^3,x,4,1/64/a^5/b/(-b*x+a)^2+5/64/a^6/b/(-b*x+a)-1/32/a^3/b/(b*x+a)^4-1/16/a^4/b/(b*x+a)^3-3/32/a^5/b/(b*x+a)^2-5/32/a^6/b/(b*x+a)+15/64*arctanh(b*x/a)/a^7/b,1],
[(a*x+1)/sqrt(-a^2*x^2+1),x,2,-sqrt(-a^2*x^2+1)/a+arcsin(a*x)/a,1],
[sqrt(-a^2*x^2+1)/(-a*x+1),x,2,-sqrt(-a^2*x^2+1)/a+arcsin(a*x)/a,1],
[(d*x+c)^2/sqrt(-d^2*x^2+c^2),x,3,-1/2*(d*x+4*c)*sqrt(-d^2*x^2+c^2)/d+3/2*c^2*arctan(d*x/sqrt(-d^2*x^2+c^2))/d,1],
[(-d^2*x^2+c^2)^(3/2)/(-d*x+c)^2,x,3,-1/2*(d*x+4*c)*sqrt(-d^2*x^2+c^2)/d+3/2*c^2*arctan(d*x/sqrt(-d^2*x^2+c^2))/d,1],
[(-d*x+c)^2/sqrt(-d^2*x^2+c^2),x,3,1/2*(-d*x+4*c)*sqrt(-d^2*x^2+c^2)/d+3/2*c^2*arctan(d*x/sqrt(-d^2*x^2+c^2))/d,1],
[(-d^2*x^2+c^2)^(3/2)/(d*x+c)^2,x,3,1/2*(-d*x+4*c)*sqrt(-d^2*x^2+c^2)/d+3/2*c^2*arctan(d*x/sqrt(-d^2*x^2+c^2))/d,1],
[(d*x+c)^2/sqrt(b*d^2*x^2-b*c^2),x,3,1/2*(d*x+4*c)*sqrt(b*d^2*x^2-b*c^2)/b/d+3/2*c^2*arctanh(sqrt(b)*d*x/sqrt(b*d^2*x^2-b*c^2))/sqrt(b)/d,1],
[(b*d^2*x^2-b*c^2)^(3/2)/b^2/(-d*x+c)^2,x,4,1/2*(d*x+4*c)*sqrt(b*d^2*x^2-b*c^2)/b/d+3/2*c^2*arctanh(sqrt(b)*d*x/sqrt(b*d^2*x^2-b*c^2))/sqrt(b)/d,1],
[(b*x+a)^4*sqrt(-b^2*x^2+a^2),x,6,21/16*a^4*x*sqrt(-b^2*x^2+a^2)-3/10*a*(b*x+a)^2*(-b^2*x^2+a^2)^(3/2)/b-1/6*(b*x+a)^3*(-b^2*x^2+a^2)^(3/2)/b-7/40*a^2*(3*b*x+8*a)*(-b^2*x^2+a^2)^(3/2)/b+21/16*a^6*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(b*x+a)^3*sqrt(-b^2*x^2+a^2),x,5,7/8*a^3*x*sqrt(-b^2*x^2+a^2)-1/5*(b*x+a)^2*(-b^2*x^2+a^2)^(3/2)/b-7/60*a*(3*b*x+8*a)*(-b^2*x^2+a^2)^(3/2)/b+7/8*a^5*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(b*x+a)^2*sqrt(-b^2*x^2+a^2),x,4,5/8*a^2*x*sqrt(-b^2*x^2+a^2)-1/12*(3*b*x+8*a)*(-b^2*x^2+a^2)^(3/2)/b+5/8*a^4*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(b*x+a)*sqrt(-b^2*x^2+a^2),x,4,1/2*a*x*sqrt(-b^2*x^2+a^2)-1/3*(-b^2*x^2+a^2)^(3/2)/b+1/2*a^3*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[sqrt(-b^2*x^2+a^2)/(b*x+a),x,3,sqrt(-b^2*x^2+a^2)/b+a*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[sqrt(-b^2*x^2+a^2)/(b*x+a)^2,x,3,-2*sqrt(-b^2*x^2+a^2)/b/(b*x+a)-arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[sqrt(-b^2*x^2+a^2)/(b*x+a)^3,x,1,-1/3*(-b^2*x^2+a^2)^(3/2)/a/b/(b*x+a)^3,1],
[sqrt(-b^2*x^2+a^2)/(b*x+a)^4,x,2,-1/5*(-b^2*x^2+a^2)^(3/2)/a/b/(b*x+a)^4-1/15*(-b^2*x^2+a^2)^(3/2)/a^2/b/(b*x+a)^3,1],
[sqrt(-b^2*x^2+a^2)/(b*x+a)^5,x,3,-1/7*(-b^2*x^2+a^2)^(3/2)/a/b/(b*x+a)^5-2/35*(-b^2*x^2+a^2)^(3/2)/a^2/b/(b*x+a)^4-2/105*(-b^2*x^2+a^2)^(3/2)/a^3/b/(b*x+a)^3,1],
[sqrt(-b^2*x^2+a^2)/(b*x+a)^6,x,4,-1/9*(-b^2*x^2+a^2)^(3/2)/a/b/(b*x+a)^6-1/21*(-b^2*x^2+a^2)^(3/2)/a^2/b/(b*x+a)^5-2/105*(-b^2*x^2+a^2)^(3/2)/a^3/b/(b*x+a)^4-2/315*(-b^2*x^2+a^2)^(3/2)/a^4/b/(b*x+a)^3,1],
[(b*x+a)^3*(-b^2*x^2+a^2)^(3/2),x,6,9/16*a^5*x*sqrt(-b^2*x^2+a^2)+3/8*a^3*x*(-b^2*x^2+a^2)^(3/2)-1/7*(b*x+a)^2*(-b^2*x^2+a^2)^(5/2)/b-3/70*a*(5*b*x+12*a)*(-b^2*x^2+a^2)^(5/2)/b+9/16*a^7*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(b*x+a)^2*(-b^2*x^2+a^2)^(3/2),x,5,7/16*a^4*x*sqrt(-b^2*x^2+a^2)+7/24*a^2*x*(-b^2*x^2+a^2)^(3/2)-1/30*(5*b*x+12*a)*(-b^2*x^2+a^2)^(5/2)/b+7/16*a^6*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(b*x+a)*(-b^2*x^2+a^2)^(3/2),x,5,3/8*a^3*x*sqrt(-b^2*x^2+a^2)+1/4*a*x*(-b^2*x^2+a^2)^(3/2)-1/5*(-b^2*x^2+a^2)^(5/2)/b+3/8*a^5*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(-b^2*x^2+a^2)^(3/2)/(b*x+a),x,4,1/2*a*x*sqrt(-b^2*x^2+a^2)+1/3*(-b^2*x^2+a^2)^(3/2)/b+1/2*a^3*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(-b^2*x^2+a^2)^(3/2)/(b*x+a)^2,x,3,1/2*(-b*x+4*a)*sqrt(-b^2*x^2+a^2)/b+3/2*a^2*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(-b^2*x^2+a^2)^(3/2)/(b*x+a)^3,x,4,-sqrt(-b^2*x^2+a^2)/b-4*a*sqrt(-b^2*x^2+a^2)/b/(b*x+a)-3*a*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(-b^2*x^2+a^2)^(3/2)/(b*x+a)^4,x,4,2*sqrt(-b^2*x^2+a^2)/b/(b*x+a)-2/3*(-b^2*x^2+a^2)^(3/2)/b/(b*x+a)^3+arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(-b^2*x^2+a^2)^(3/2)/(b*x+a)^5,x,1,-1/5*(-b^2*x^2+a^2)^(5/2)/a/b/(b*x+a)^5,1],
[(-b^2*x^2+a^2)^(3/2)/(b*x+a)^6,x,2,-1/7*(-b^2*x^2+a^2)^(5/2)/a/b/(b*x+a)^6-1/35*(-b^2*x^2+a^2)^(5/2)/a^2/b/(b*x+a)^5,1],
[(-b^2*x^2+a^2)^(3/2)/(b*x+a)^7,x,3,-1/9*(-b^2*x^2+a^2)^(5/2)/a/b/(b*x+a)^7-2/63*(-b^2*x^2+a^2)^(5/2)/a^2/b/(b*x+a)^6-2/315*(-b^2*x^2+a^2)^(5/2)/a^3/b/(b*x+a)^5,1],
[(-b^2*x^2+a^2)^(3/2)/(b*x+a)^8,x,4,-1/11*(-b^2*x^2+a^2)^(5/2)/a/b/(b*x+a)^8-1/33*(-b^2*x^2+a^2)^(5/2)/a^2/b/(b*x+a)^7-2/231*(-b^2*x^2+a^2)^(5/2)/a^3/b/(b*x+a)^6-2/1155*(-b^2*x^2+a^2)^(5/2)/a^4/b/(b*x+a)^5,1],
[(e*x+d)^3*(-e^2*x^2+d^2)^(7/2),x,8,91/256*d^9*x*sqrt(-e^2*x^2+d^2)+91/384*d^7*x*(-e^2*x^2+d^2)^(3/2)+91/480*d^5*x*(-e^2*x^2+d^2)^(5/2)+13/80*d^3*x*(-e^2*x^2+d^2)^(7/2)-1/11*(e*x+d)^2*(-e^2*x^2+d^2)^(9/2)/e-13/990*d*(9*e*x+20*d)*(-e^2*x^2+d^2)^(9/2)/e+91/256*d^11*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^2*(-e^2*x^2+d^2)^(7/2),x,7,77/256*d^8*x*sqrt(-e^2*x^2+d^2)+77/384*d^6*x*(-e^2*x^2+d^2)^(3/2)+77/480*d^4*x*(-e^2*x^2+d^2)^(5/2)+11/80*d^2*x*(-e^2*x^2+d^2)^(7/2)-1/90*(9*e*x+20*d)*(-e^2*x^2+d^2)^(9/2)/e+77/256*d^10*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)*(-e^2*x^2+d^2)^(7/2),x,7,35/128*d^7*x*sqrt(-e^2*x^2+d^2)+35/192*d^5*x*(-e^2*x^2+d^2)^(3/2)+7/48*d^3*x*(-e^2*x^2+d^2)^(5/2)+1/8*d*x*(-e^2*x^2+d^2)^(7/2)-1/9*(-e^2*x^2+d^2)^(9/2)/e+35/128*d^9*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d),x,6,5/16*d^5*x*sqrt(-e^2*x^2+d^2)+5/24*d^3*x*(-e^2*x^2+d^2)^(3/2)+1/6*d*x*(-e^2*x^2+d^2)^(5/2)+1/7*(-e^2*x^2+d^2)^(7/2)/e+5/16*d^7*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^2,x,5,7/16*d^4*x*sqrt(-e^2*x^2+d^2)+7/24*d^2*x*(-e^2*x^2+d^2)^(3/2)+1/30*(-5*e*x+12*d)*(-e^2*x^2+d^2)^(5/2)/e+7/16*d^6*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^3,x,6,7/8*d^3*x*sqrt(-e^2*x^2+d^2)+7/12*d*x*(-e^2*x^2+d^2)^(3/2)+7/15*(-e^2*x^2+d^2)^(5/2)/e+2/3*(-e^2*x^2+d^2)^(7/2)/e/(e*x+d)^2+7/8*d^5*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^4,x,5,35/8*d^2*x*sqrt(-e^2*x^2+d^2)+7/12*(-3*e*x+8*d)*(-e^2*x^2+d^2)^(3/2)/e+2*(-e^2*x^2+d^2)^(7/2)/e/(e*x+d)^3+35/8*d^4*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^5,x,8,-12*d^2*sqrt(-e^2*x^2+d^2)/e+5/2*d*x*sqrt(-e^2*x^2+d^2)-16*d^3*sqrt(-e^2*x^2+d^2)/e/(e*x+d)+1/3*(-e^2*x^2+d^2)^(3/2)/e-35/2*d^3*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^6,x,6,28/3*d*sqrt(-e^2*x^2+d^2)/e-7/6*x*sqrt(-e^2*x^2+d^2)+56/3*d^2*sqrt(-e^2*x^2+d^2)/e/(e*x+d)-2/3*(-e^2*x^2+d^2)^(7/2)/e/(e*x+d)^5+35/2*d^2*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^7,x,6,-7/3*sqrt(-e^2*x^2+d^2)/e-28/3*d*sqrt(-e^2*x^2+d^2)/e/(e*x+d)+14/15*(-e^2*x^2+d^2)^(5/2)/e/(e*x+d)^4-2/5*(-e^2*x^2+d^2)^(7/2)/e/(e*x+d)^6-7*d*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^8,x,6,2*sqrt(-e^2*x^2+d^2)/e/(e*x+d)-2/3*(-e^2*x^2+d^2)^(3/2)/e/(e*x+d)^3+2/5*(-e^2*x^2+d^2)^(5/2)/e/(e*x+d)^5-2/7*(-e^2*x^2+d^2)^(7/2)/e/(e*x+d)^7+arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^9,x,1,-1/9*(-e^2*x^2+d^2)^(9/2)/d/e/(e*x+d)^9,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^10,x,2,-1/11*(-e^2*x^2+d^2)^(9/2)/d/e/(e*x+d)^10-1/99*(-e^2*x^2+d^2)^(9/2)/d^2/e/(e*x+d)^9,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^11,x,3,-1/13*(-e^2*x^2+d^2)^(9/2)/d/e/(e*x+d)^11-2/143*(-e^2*x^2+d^2)^(9/2)/d^2/e/(e*x+d)^10-2/1287*(-e^2*x^2+d^2)^(9/2)/d^3/e/(e*x+d)^9,1],
[(-e^2*x^2+d^2)^(7/2)/(e*x+d)^12,x,4,-1/15*(-e^2*x^2+d^2)^(9/2)/d/e/(e*x+d)^12-1/65*(-e^2*x^2+d^2)^(9/2)/d^2/e/(e*x+d)^11-2/715*(-e^2*x^2+d^2)^(9/2)/d^3/e/(e*x+d)^10-2/6435*(-e^2*x^2+d^2)^(9/2)/d^4/e/(e*x+d)^9,1],
[(1+x)^3*sqrt(-x^2+1),x,4,7/8*x*sqrt(-x^2+1)-1/5*(1+x)^2*(-x^2+1)^(3/2)-7/60*(8+3*x)*(-x^2+1)^(3/2)+7/8*arcsin(x),1],
[(1+x)^2*sqrt(-x^2+1),x,3,5/8*x*sqrt(-x^2+1)-1/12*(8+3*x)*(-x^2+1)^(3/2)+5/8*arcsin(x),1],
[(1+x)*sqrt(-x^2+1),x,3,1/2*x*sqrt(-x^2+1)-1/3*(-x^2+1)^(3/2)+1/2*arcsin(x),1],
[sqrt(-x^2+1)/(1+x),x,2,sqrt(-x^2+1)+arcsin(x),1],
[sqrt(-x^2+1)/(1+x)^2,x,2,-2*sqrt(-x^2+1)/(1+x)-arcsin(x),1],
[sqrt(-x^2+1)/(1+x)^3,x,1,-1/3*(-x^2+1)^(3/2)/(1+x)^3,1],
[sqrt(-x^2+1)/(1+x)^4,x,2,-1/5*(-x^2+1)^(3/2)/(1+x)^4-1/15*(-x^2+1)^(3/2)/(1+x)^3,1],
[sqrt(-x^2+1)/(1+x)^5,x,3,-1/7*(-x^2+1)^(3/2)/(1+x)^5-2/35*(-x^2+1)^(3/2)/(1+x)^4-2/105*(-x^2+1)^(3/2)/(1+x)^3,1],
[(1-x)^3*sqrt(-x^2+1),x,4,7/8*x*sqrt(-x^2+1)+7/60*(8-3*x)*(-x^2+1)^(3/2)+1/5*(1-x)^2*(-x^2+1)^(3/2)+7/8*arcsin(x),1],
[(1-x)^2*sqrt(-x^2+1),x,3,5/8*x*sqrt(-x^2+1)+1/12*(8-3*x)*(-x^2+1)^(3/2)+5/8*arcsin(x),1],
[(1-x)*sqrt(-x^2+1),x,3,1/2*x*sqrt(-x^2+1)+1/3*(-x^2+1)^(3/2)+1/2*arcsin(x),1],
[sqrt(-x^2+1)/(1-x),x,2,-sqrt(-x^2+1)+arcsin(x),1],
[sqrt(-x^2+1)/(1-x)^2,x,2,2*sqrt(-x^2+1)/(1-x)-arcsin(x),1],
[sqrt(-x^2+1)/(1-x)^3,x,1,1/3*(-x^2+1)^(3/2)/(1-x)^3,1],
[sqrt(-x^2+1)/(1-x)^4,x,2,1/5*(-x^2+1)^(3/2)/(1-x)^4+1/15*(-x^2+1)^(3/2)/(1-x)^3,1],
[sqrt(-x^2+1)/(1-x)^5,x,3,1/7*(-x^2+1)^(3/2)/(1-x)^5+2/35*(-x^2+1)^(3/2)/(1-x)^4+2/105*(-x^2+1)^(3/2)/(1-x)^3,1],
[(1+x)^3*sqrt(x^2-1),x,5,7/8*x*sqrt(x^2-1)+1/5*(1+x)^2*(x^2-1)^(3/2)+7/60*(8+3*x)*(x^2-1)^(3/2)-7/8*arctanh(x/sqrt(x^2-1)),1],
[(1+x)^2*sqrt(x^2-1),x,4,5/8*x*sqrt(x^2-1)+1/12*(8+3*x)*(x^2-1)^(3/2)-5/8*arctanh(x/sqrt(x^2-1)),1],
[(1+x)*sqrt(x^2-1),x,4,1/2*x*sqrt(x^2-1)+1/3*(x^2-1)^(3/2)-1/2*arctanh(x/sqrt(x^2-1)),1],
[sqrt(x^2-1)/(1+x),x,3,sqrt(x^2-1)-arctanh(x/sqrt(x^2-1)),1],
[sqrt(x^2-1)/(1+x)^2,x,3,-2*sqrt(x^2-1)/(1+x)+arctanh(x/sqrt(x^2-1)),1],
[sqrt(x^2-1)/(1+x)^3,x,1,1/3*(x^2-1)^(3/2)/(1+x)^3,1],
[sqrt(x^2-1)/(1+x)^4,x,2,1/5*(x^2-1)^(3/2)/(1+x)^4+1/15*(x^2-1)^(3/2)/(1+x)^3,1],
[sqrt(x^2-1)/(1+x)^5,x,3,1/7*(x^2-1)^(3/2)/(1+x)^5+2/35*(x^2-1)^(3/2)/(1+x)^4+2/105*(x^2-1)^(3/2)/(1+x)^3,1],
[(1-x)^3*sqrt(x^2-1),x,5,7/8*x*sqrt(x^2-1)-7/60*(8-3*x)*(x^2-1)^(3/2)-1/5*(1-x)^2*(x^2-1)^(3/2)-7/8*arctanh(x/sqrt(x^2-1)),1],
[(1-x)^2*sqrt(x^2-1),x,4,5/8*x*sqrt(x^2-1)-1/12*(8-3*x)*(x^2-1)^(3/2)-5/8*arctanh(x/sqrt(x^2-1)),1],
[(1-x)*sqrt(x^2-1),x,4,1/2*x*sqrt(x^2-1)-1/3*(x^2-1)^(3/2)-1/2*arctanh(x/sqrt(x^2-1)),1],
[sqrt(x^2-1)/(1-x),x,3,-sqrt(x^2-1)-arctanh(x/sqrt(x^2-1)),1],
[sqrt(x^2-1)/(1-x)^2,x,3,2*sqrt(x^2-1)/(1-x)+arctanh(x/sqrt(x^2-1)),1],
[sqrt(x^2-1)/(1-x)^3,x,1,-1/3*(x^2-1)^(3/2)/(1-x)^3,1],
[sqrt(x^2-1)/(1-x)^4,x,2,-1/5*(x^2-1)^(3/2)/(1-x)^4-1/15*(x^2-1)^(3/2)/(1-x)^3,1],
[sqrt(x^2-1)/(1-x)^5,x,3,-1/7*(x^2-1)^(3/2)/(1-x)^5-2/35*(x^2-1)^(3/2)/(1-x)^4-2/105*(x^2-1)^(3/2)/(1-x)^3,1],
[sqrt(-b^2*x^2+a^2)/(-b*x+a),x,3,-sqrt(-b^2*x^2+a^2)/b+a*arctan(b*x/sqrt(-b^2*x^2+a^2))/b,1],
[(b*x+a)*sqrt(-a^2*c/b^2+c*x^2),x,4,1/2*a*x*sqrt(-a^2*c/b^2+c*x^2)+1/3*b*(-a^2*c/b^2+c*x^2)^(3/2)/c-1/2*a^3*sqrt(c)*arctanh(sqrt(c)*x/sqrt(-a^2*c/b^2+c*x^2))/b^2,1],
[(b*x+a)^2*sqrt(-a^2*c/b^2+c*x^2),x,4,5/8*a^2*x*sqrt(-a^2*c/b^2+c*x^2)+1/12*b*(3*b*x+8*a)*(-a^2*c/b^2+c*x^2)^(3/2)/c-5/8*a^4*sqrt(c)*arctanh(sqrt(c)*x/sqrt(-a^2*c/b^2+c*x^2))/b^2,1],
[(b*x+a)^3*sqrt(-a^2*c/b^2+c*x^2),x,5,7/8*a^3*x*sqrt(-a^2*c/b^2+c*x^2)+1/5*b*(b*x+a)^2*(-a^2*c/b^2+c*x^2)^(3/2)/c+7/60*a*b*(3*b*x+8*a)*(-a^2*c/b^2+c*x^2)^(3/2)/c-7/8*a^5*sqrt(c)*arctanh(sqrt(c)*x/sqrt(-a^2*c/b^2+c*x^2))/b^2,1],
[(e*x+d)^4/sqrt(-e^2*x^2+d^2),x,5,-7/12*d*(e*x+d)^2*sqrt(-e^2*x^2+d^2)/e-1/4*(e*x+d)^3*sqrt(-e^2*x^2+d^2)/e-35/24*d^2*(e*x+4*d)*sqrt(-e^2*x^2+d^2)/e+35/8*d^4*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^3/sqrt(-e^2*x^2+d^2),x,4,-1/3*(e*x+d)^2*sqrt(-e^2*x^2+d^2)/e-5/6*d*(e*x+4*d)*sqrt(-e^2*x^2+d^2)/e+5/2*d^3*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^2/sqrt(-e^2*x^2+d^2),x,3,-1/2*(e*x+4*d)*sqrt(-e^2*x^2+d^2)/e+3/2*d^2*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)/sqrt(-e^2*x^2+d^2),x,3,-sqrt(-e^2*x^2+d^2)/e+d*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[1/(e*x+d)/sqrt(-e^2*x^2+d^2),x,1,-sqrt(-e^2*x^2+d^2)/d/e/(e*x+d),1],
[1/(e*x+d)^2/sqrt(-e^2*x^2+d^2),x,2,1/3*x/d^2/sqrt(-e^2*x^2+d^2)-2/3/e/(e*x+d)/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)^3/sqrt(-e^2*x^2+d^2),x,3,2/15*x/d^3/sqrt(-e^2*x^2+d^2)-2/5/e/(e*x+d)^2/sqrt(-e^2*x^2+d^2)-1/15/d/e/(e*x+d)/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)^4/sqrt(-e^2*x^2+d^2),x,4,1/35*x/d^2/(-e^2*x^2+d^2)^(3/2)-2/35/e/(e*x+d)/(-e^2*x^2+d^2)^(3/2)+2/35*x/d^4/sqrt(-e^2*x^2+d^2)-2/7/e/(e*x+d)^3/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)^5/(-e^2*x^2+d^2)^(3/2),x,8,16*d^3*(e*x+d)/e/sqrt(-e^2*x^2+d^2)+12*d^2*sqrt(-e^2*x^2+d^2)/e+5/2*d*x*sqrt(-e^2*x^2+d^2)-1/3*(-e^2*x^2+d^2)^(3/2)/e-35/2*d^3*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^4/(-e^2*x^2+d^2)^(3/2),x,5,8*d^2*(e*x+d)/e/sqrt(-e^2*x^2+d^2)+4*d*sqrt(-e^2*x^2+d^2)/e+1/2*x*sqrt(-e^2*x^2+d^2)-15/2*d^2*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^3/(-e^2*x^2+d^2)^(3/2),x,4,4*d*(e*x+d)/e/sqrt(-e^2*x^2+d^2)+sqrt(-e^2*x^2+d^2)/e-3*d*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x,3,2*(e*x+d)/e/sqrt(-e^2*x^2+d^2)-arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)/(-e^2*x^2+d^2)^(3/2),x,1,(e*x+d)/d/e/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)/(-e^2*x^2+d^2)^(3/2),x,2,2/3*x/d^3/sqrt(-e^2*x^2+d^2)-1/3/d/e/(e*x+d)/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2),x,3,1/5*x/d^2/(-e^2*x^2+d^2)^(3/2)-2/5/e/(e*x+d)/(-e^2*x^2+d^2)^(3/2)+2/5*x/d^4/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)^3/(-e^2*x^2+d^2)^(3/2),x,4,4/35*x/d^3/(-e^2*x^2+d^2)^(3/2)-2/7/e/(e*x+d)^2/(-e^2*x^2+d^2)^(3/2)-3/35/d/e/(e*x+d)/(-e^2*x^2+d^2)^(3/2)+8/35*x/d^5/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)^6/(-e^2*x^2+d^2)^(5/2),x,6,2/3*(e*x+d)^5/e/(-e^2*x^2+d^2)^(3/2)-56/3*d^2*(e*x+d)/e/sqrt(-e^2*x^2+d^2)-28/3*d*sqrt(-e^2*x^2+d^2)/e-7/6*x*sqrt(-e^2*x^2+d^2)+35/2*d^2*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^5/(-e^2*x^2+d^2)^(5/2),x,5,2/3*(e*x+d)^4/e/(-e^2*x^2+d^2)^(3/2)-20/3*d*(e*x+d)/e/sqrt(-e^2*x^2+d^2)-5/3*sqrt(-e^2*x^2+d^2)/e+5*d*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^4/(-e^2*x^2+d^2)^(5/2),x,4,2/3*(e*x+d)^3/e/(-e^2*x^2+d^2)^(3/2)-2*(e*x+d)/e/sqrt(-e^2*x^2+d^2)+arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^3/(-e^2*x^2+d^2)^(5/2),x,1,1/3*(e*x+d)^3/d/e/(-e^2*x^2+d^2)^(3/2),1],
[(e*x+d)^2/(-e^2*x^2+d^2)^(5/2),x,2,2/3*(e*x+d)/e/(-e^2*x^2+d^2)^(3/2)+1/3*x/d^2/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)/(-e^2*x^2+d^2)^(5/2),x,2,1/3*(e*x+d)/d/e/(-e^2*x^2+d^2)^(3/2)+2/3*x/d^3/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)/(-e^2*x^2+d^2)^(5/2),x,3,4/15*x/d^3/(-e^2*x^2+d^2)^(3/2)-1/5/d/e/(e*x+d)/(-e^2*x^2+d^2)^(3/2)+8/15*x/d^5/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)^2/(-e^2*x^2+d^2)^(5/2),x,4,1/7*x/d^2/(-e^2*x^2+d^2)^(5/2)-2/7/e/(e*x+d)/(-e^2*x^2+d^2)^(5/2)+4/21*x/d^4/(-e^2*x^2+d^2)^(3/2)+8/21*x/d^6/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)^3/(-e^2*x^2+d^2)^(5/2),x,5,2/21*x/d^3/(-e^2*x^2+d^2)^(5/2)-2/9/e/(e*x+d)^2/(-e^2*x^2+d^2)^(5/2)-5/63/d/e/(e*x+d)/(-e^2*x^2+d^2)^(5/2)+8/63*x/d^5/(-e^2*x^2+d^2)^(3/2)+16/63*x/d^7/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)^8/(-e^2*x^2+d^2)^(7/2),x,7,2/5*(e*x+d)^7/e/(-e^2*x^2+d^2)^(5/2)-6/5*(e*x+d)^5/e/(-e^2*x^2+d^2)^(3/2)+168/5*d^2*(e*x+d)/e/sqrt(-e^2*x^2+d^2)+84/5*d*sqrt(-e^2*x^2+d^2)/e+21/10*x*sqrt(-e^2*x^2+d^2)-63/2*d^2*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^7/(-e^2*x^2+d^2)^(7/2),x,6,2/5*(e*x+d)^6/e/(-e^2*x^2+d^2)^(5/2)-14/15*(e*x+d)^4/e/(-e^2*x^2+d^2)^(3/2)+28/3*d*(e*x+d)/e/sqrt(-e^2*x^2+d^2)+7/3*sqrt(-e^2*x^2+d^2)/e-7*d*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^6/(-e^2*x^2+d^2)^(7/2),x,5,2/5*(e*x+d)^5/e/(-e^2*x^2+d^2)^(5/2)-2/3*(e*x+d)^3/e/(-e^2*x^2+d^2)^(3/2)+2*(e*x+d)/e/sqrt(-e^2*x^2+d^2)-arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^5/(-e^2*x^2+d^2)^(7/2),x,1,1/5*(e*x+d)^5/d/e/(-e^2*x^2+d^2)^(5/2),1],
[(e*x+d)^4/(-e^2*x^2+d^2)^(7/2),x,2,1/5*(e*x+d)^4/d/e/(-e^2*x^2+d^2)^(5/2)+1/15*(e*x+d)^3/d^2/e/(-e^2*x^2+d^2)^(3/2),1],
[(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x,3,2/5*(e*x+d)^2/e/(-e^2*x^2+d^2)^(5/2)+1/15*(e*x+d)/d/e/(-e^2*x^2+d^2)^(3/2)+2/15*x/d^3/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x,3,2/5*(e*x+d)/e/(-e^2*x^2+d^2)^(5/2)+1/5*x/d^2/(-e^2*x^2+d^2)^(3/2)+2/5*x/d^4/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)/(-e^2*x^2+d^2)^(7/2),x,3,1/5*(e*x+d)/d/e/(-e^2*x^2+d^2)^(5/2)+4/15*x/d^3/(-e^2*x^2+d^2)^(3/2)+8/15*x/d^5/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)/(-e^2*x^2+d^2)^(7/2),x,4,6/35*x/d^3/(-e^2*x^2+d^2)^(5/2)-1/7/d/e/(e*x+d)/(-e^2*x^2+d^2)^(5/2)+8/35*x/d^5/(-e^2*x^2+d^2)^(3/2)+16/35*x/d^7/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)^2/(-e^2*x^2+d^2)^(7/2),x,5,1/9*x/d^2/(-e^2*x^2+d^2)^(7/2)-2/9/e/(e*x+d)/(-e^2*x^2+d^2)^(7/2)+2/15*x/d^4/(-e^2*x^2+d^2)^(5/2)+8/45*x/d^6/(-e^2*x^2+d^2)^(3/2)+16/45*x/d^8/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)^3/(-e^2*x^2+d^2)^(7/2),x,6,8/99*x/d^3/(-e^2*x^2+d^2)^(7/2)-2/11/e/(e*x+d)^2/(-e^2*x^2+d^2)^(7/2)-7/99/d/e/(e*x+d)/(-e^2*x^2+d^2)^(7/2)+16/165*x/d^5/(-e^2*x^2+d^2)^(5/2)+64/495*x/d^7/(-e^2*x^2+d^2)^(3/2)+128/495*x/d^9/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)^12/(-e^2*x^2+d^2)^(11/2),x,9,2/9*(e*x+d)^11/e/(-e^2*x^2+d^2)^(9/2)-26/63*(e*x+d)^9/e/(-e^2*x^2+d^2)^(7/2)+286/315*(e*x+d)^7/e/(-e^2*x^2+d^2)^(5/2)-286/105*(e*x+d)^5/e/(-e^2*x^2+d^2)^(3/2)+1144/15*d^2*(e*x+d)/e/sqrt(-e^2*x^2+d^2)+572/15*d*sqrt(-e^2*x^2+d^2)/e+143/30*x*sqrt(-e^2*x^2+d^2)-143/2*d^2*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^11/(-e^2*x^2+d^2)^(11/2),x,8,2/9*(e*x+d)^10/e/(-e^2*x^2+d^2)^(9/2)-22/63*(e*x+d)^8/e/(-e^2*x^2+d^2)^(7/2)+22/35*(e*x+d)^6/e/(-e^2*x^2+d^2)^(5/2)-22/15*(e*x+d)^4/e/(-e^2*x^2+d^2)^(3/2)+44/3*d*(e*x+d)/e/sqrt(-e^2*x^2+d^2)+11/3*sqrt(-e^2*x^2+d^2)/e-11*d*arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^10/(-e^2*x^2+d^2)^(11/2),x,7,2/9*(e*x+d)^9/e/(-e^2*x^2+d^2)^(9/2)-2/7*(e*x+d)^7/e/(-e^2*x^2+d^2)^(7/2)+2/5*(e*x+d)^5/e/(-e^2*x^2+d^2)^(5/2)-2/3*(e*x+d)^3/e/(-e^2*x^2+d^2)^(3/2)+2*(e*x+d)/e/sqrt(-e^2*x^2+d^2)-arctan(e*x/sqrt(-e^2*x^2+d^2))/e,1],
[(e*x+d)^9/(-e^2*x^2+d^2)^(11/2),x,1,1/9*(e*x+d)^9/d/e/(-e^2*x^2+d^2)^(9/2),1],
[(e*x+d)^8/(-e^2*x^2+d^2)^(11/2),x,2,1/9*(e*x+d)^8/d/e/(-e^2*x^2+d^2)^(9/2)+1/63*(e*x+d)^7/d^2/e/(-e^2*x^2+d^2)^(7/2),1],
[(e*x+d)^7/(-e^2*x^2+d^2)^(11/2),x,3,1/9*(e*x+d)^7/d/e/(-e^2*x^2+d^2)^(9/2)+2/63*(e*x+d)^6/d^2/e/(-e^2*x^2+d^2)^(7/2)+2/315*(e*x+d)^5/d^3/e/(-e^2*x^2+d^2)^(5/2),1],
[(e*x+d)^6/(-e^2*x^2+d^2)^(11/2),x,4,1/9*(e*x+d)^6/d/e/(-e^2*x^2+d^2)^(9/2)+1/21*(e*x+d)^5/d^2/e/(-e^2*x^2+d^2)^(7/2)+2/105*(e*x+d)^4/d^3/e/(-e^2*x^2+d^2)^(5/2)+2/315*(e*x+d)^3/d^4/e/(-e^2*x^2+d^2)^(3/2),1],
[(e*x+d)^5/(-e^2*x^2+d^2)^(11/2),x,5,2/9*(e*x+d)^4/e/(-e^2*x^2+d^2)^(9/2)+2/63*(e*x+d)^2/e/(-e^2*x^2+d^2)^(7/2)+1/105*(e*x+d)/d/e/(-e^2*x^2+d^2)^(5/2)+4/315*x/d^3/(-e^2*x^2+d^2)^(3/2)+8/315*x/d^5/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)^4/(-e^2*x^2+d^2)^(11/2),x,5,2/9*(e*x+d)^3/e/(-e^2*x^2+d^2)^(9/2)+2/21*(e*x+d)/e/(-e^2*x^2+d^2)^(7/2)+1/21*x/d^2/(-e^2*x^2+d^2)^(5/2)+4/63*x/d^4/(-e^2*x^2+d^2)^(3/2)+8/63*x/d^6/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)^3/(-e^2*x^2+d^2)^(11/2),x,5,2/9*(e*x+d)^2/e/(-e^2*x^2+d^2)^(9/2)+5/63*(e*x+d)/d/e/(-e^2*x^2+d^2)^(7/2)+2/21*x/d^3/(-e^2*x^2+d^2)^(5/2)+8/63*x/d^5/(-e^2*x^2+d^2)^(3/2)+16/63*x/d^7/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)^2/(-e^2*x^2+d^2)^(11/2),x,5,2/9*(e*x+d)/e/(-e^2*x^2+d^2)^(9/2)+1/9*x/d^2/(-e^2*x^2+d^2)^(7/2)+2/15*x/d^4/(-e^2*x^2+d^2)^(5/2)+8/45*x/d^6/(-e^2*x^2+d^2)^(3/2)+16/45*x/d^8/sqrt(-e^2*x^2+d^2),1],
[(e*x+d)/(-e^2*x^2+d^2)^(11/2),x,5,1/9*(e*x+d)/d/e/(-e^2*x^2+d^2)^(9/2)+8/63*x/d^3/(-e^2*x^2+d^2)^(7/2)+16/105*x/d^5/(-e^2*x^2+d^2)^(5/2)+64/315*x/d^7/(-e^2*x^2+d^2)^(3/2)+128/315*x/d^9/sqrt(-e^2*x^2+d^2),1],
[1/(-e^2*x^2+d^2)^(11/2),x,5,1/9*x/d^2/(-e^2*x^2+d^2)^(9/2)+8/63*x/d^4/(-e^2*x^2+d^2)^(7/2)+16/105*x/d^6/(-e^2*x^2+d^2)^(5/2)+64/315*x/d^8/(-e^2*x^2+d^2)^(3/2)+128/315*x/d^10/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)/(-e^2*x^2+d^2)^(11/2),x,6,10/99*x/d^3/(-e^2*x^2+d^2)^(9/2)-1/11/d/e/(e*x+d)/(-e^2*x^2+d^2)^(9/2)+80/693*x/d^5/(-e^2*x^2+d^2)^(7/2)+32/231*x/d^7/(-e^2*x^2+d^2)^(5/2)+128/693*x/d^9/(-e^2*x^2+d^2)^(3/2)+256/693*x/d^11/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)^2/(-e^2*x^2+d^2)^(11/2),x,7,1/13*x/d^2/(-e^2*x^2+d^2)^(11/2)-2/13/e/(e*x+d)/(-e^2*x^2+d^2)^(11/2)+10/117*x/d^4/(-e^2*x^2+d^2)^(9/2)+80/819*x/d^6/(-e^2*x^2+d^2)^(7/2)+32/273*x/d^8/(-e^2*x^2+d^2)^(5/2)+128/819*x/d^10/(-e^2*x^2+d^2)^(3/2)+256/819*x/d^12/sqrt(-e^2*x^2+d^2),1],
[1/(e*x+d)^3/(-e^2*x^2+d^2)^(11/2),x,8,4/65*x/d^3/(-e^2*x^2+d^2)^(11/2)-2/15/e/(e*x+d)^2/(-e^2*x^2+d^2)^(11/2)-11/195/d/e/(e*x+d)/(-e^2*x^2+d^2)^(11/2)+8/117*x/d^5/(-e^2*x^2+d^2)^(9/2)+64/819*x/d^7/(-e^2*x^2+d^2)^(7/2)+128/1365*x/d^9/(-e^2*x^2+d^2)^(5/2)+512/4095*x/d^11/(-e^2*x^2+d^2)^(3/2)+1024/4095*x/d^13/sqrt(-e^2*x^2+d^2),1],
[(1+x)/sqrt(-x^2+1),x,2,-sqrt(-x^2+1)+arcsin(x),1],
[(1-x)/sqrt(-x^2+1),x,2,sqrt(-x^2+1)+arcsin(x),1],
[(e*x+d)^(5/2)*sqrt(-c*e^2*x^2+c*d^2),x,4,-256/315*d^3*(-c*e^2*x^2+c*d^2)^(3/2)/c/e/(e*x+d)^(3/2)-64/105*d^2*(-c*e^2*x^2+c*d^2)^(3/2)/c/e/sqrt(e*x+d)-8/21*d*sqrt(e*x+d)*(-c*e^2*x^2+c*d^2)^(3/2)/c/e-2/9*(e*x+d)^(3/2)*(-c*e^2*x^2+c*d^2)^(3/2)/c/e,1],
[(e*x+d)^(3/2)*sqrt(-c*e^2*x^2+c*d^2),x,3,-64/105*d^2*(-c*e^2*x^2+c*d^2)^(3/2)/c/e/(e*x+d)^(3/2)-16/35*d*(-c*e^2*x^2+c*d^2)^(3/2)/c/e/sqrt(e*x+d)-2/7*sqrt(e*x+d)*(-c*e^2*x^2+c*d^2)^(3/2)/c/e,1],
[sqrt(e*x+d)*sqrt(-c*e^2*x^2+c*d^2),x,2,-8/15*d*(-c*e^2*x^2+c*d^2)^(3/2)/c/e/(e*x+d)^(3/2)-2/5*(-c*e^2*x^2+c*d^2)^(3/2)/c/e/sqrt(e*x+d),1],
[sqrt(-c*e^2*x^2+c*d^2)/sqrt(e*x+d),x,1,-2/3*(-c*e^2*x^2+c*d^2)^(3/2)/c/e/(e*x+d)^(3/2),1],
[sqrt(-c*e^2*x^2+c*d^2)/(e*x+d)^(3/2),x,3,2*sqrt(-c*e^2*x^2+c*d^2)/e/sqrt(e*x+d)-2*sqrt(2)*sqrt(c)*sqrt(d)*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/e,1],
[sqrt(-c*e^2*x^2+c*d^2)/(e*x+d)^(5/2),x,3,-sqrt(-c*e^2*x^2+c*d^2)/e/(e*x+d)^(3/2)+sqrt(c)*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/sqrt(d)/e,1],
[sqrt(-c*e^2*x^2+c*d^2)/(e*x+d)^(7/2),x,4,-1/2*sqrt(-c*e^2*x^2+c*d^2)/e/(e*x+d)^(5/2)+1/8*sqrt(-c*e^2*x^2+c*d^2)/d/e/(e*x+d)^(3/2)+1/8*sqrt(c)*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/d^(3/2)/e,1],
[(e*x+d)^(5/2)*(-c*e^2*x^2+c*d^2)^(3/2),x,5,-4096/15015*d^4*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/(e*x+d)^(5/2)-1024/3003*d^3*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/(e*x+d)^(3/2)-128/429*d^2*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/sqrt(e*x+d)-32/143*d*sqrt(e*x+d)*(-c*e^2*x^2+c*d^2)^(5/2)/c/e-2/13*(e*x+d)^(3/2)*(-c*e^2*x^2+c*d^2)^(5/2)/c/e,1],
[(e*x+d)^(3/2)*(-c*e^2*x^2+c*d^2)^(3/2),x,4,-256/1155*d^3*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/(e*x+d)^(5/2)-64/231*d^2*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/(e*x+d)^(3/2)-8/33*d*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/sqrt(e*x+d)-2/11*sqrt(e*x+d)*(-c*e^2*x^2+c*d^2)^(5/2)/c/e,1],
[sqrt(e*x+d)*(-c*e^2*x^2+c*d^2)^(3/2),x,3,-64/315*d^2*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/(e*x+d)^(5/2)-16/63*d*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/(e*x+d)^(3/2)-2/9*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/sqrt(e*x+d),1],
[(-c*e^2*x^2+c*d^2)^(3/2)/sqrt(e*x+d),x,2,-8/35*d*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/(e*x+d)^(5/2)-2/7*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/(e*x+d)^(3/2),1],
[(-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(3/2),x,1,-2/5*(-c*e^2*x^2+c*d^2)^(5/2)/c/e/(e*x+d)^(5/2),1],
[(-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(5/2),x,4,4*c*d*sqrt(-c*e^2*x^2+c*d^2)/e/sqrt(e*x+d)+2/3*(-c*e^2*x^2+c*d^2)^(3/2)/e/(e*x+d)^(3/2)-4*sqrt(2)*c^(3/2)*d^(3/2)*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/e,1],
[(-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(7/2),x,4,-3*c*sqrt(-c*e^2*x^2+c*d^2)/e/sqrt(e*x+d)-(-c*e^2*x^2+c*d^2)^(3/2)/e/(e*x+d)^(5/2)+3*sqrt(2)*c^(3/2)*sqrt(d)*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/e,1],
[(-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(9/2),x,4,3/4*c*sqrt(-c*e^2*x^2+c*d^2)/e/(e*x+d)^(3/2)-1/2*(-c*e^2*x^2+c*d^2)^(3/2)/e/(e*x+d)^(7/2)-3/4*c^(3/2)*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/sqrt(d)/e,1],
[(-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(11/2),x,5,1/4*c*sqrt(-c*e^2*x^2+c*d^2)/e/(e*x+d)^(5/2)-1/16*c*sqrt(-c*e^2*x^2+c*d^2)/d/e/(e*x+d)^(3/2)-1/3*(-c*e^2*x^2+c*d^2)^(3/2)/e/(e*x+d)^(9/2)-1/16*c^(3/2)*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/d^(3/2)/e,1],
[(-c*e^2*x^2+c*d^2)^(3/2)/(e*x+d)^(13/2),x,6,1/8*c*sqrt(-c*e^2*x^2+c*d^2)/e/(e*x+d)^(7/2)-1/64*c*sqrt(-c*e^2*x^2+c*d^2)/d/e/(e*x+d)^(5/2)-3/256*c*sqrt(-c*e^2*x^2+c*d^2)/d^2/e/(e*x+d)^(3/2)-1/4*(-c*e^2*x^2+c*d^2)^(3/2)/e/(e*x+d)^(11/2)-3/256*c^(3/2)*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/d^(5/2)/e,1],
[(e*x+d)^(7/2)/sqrt(-c*e^2*x^2+c*d^2),x,4,-256/35*d^3*sqrt(-c*e^2*x^2+c*d^2)/c/e/sqrt(e*x+d)-64/35*d^2*sqrt(e*x+d)*sqrt(-c*e^2*x^2+c*d^2)/c/e-24/35*d*(e*x+d)^(3/2)*sqrt(-c*e^2*x^2+c*d^2)/c/e-2/7*(e*x+d)^(5/2)*sqrt(-c*e^2*x^2+c*d^2)/c/e,1],
[(e*x+d)^(5/2)/sqrt(-c*e^2*x^2+c*d^2),x,3,-64/15*d^2*sqrt(-c*e^2*x^2+c*d^2)/c/e/sqrt(e*x+d)-16/15*d*sqrt(e*x+d)*sqrt(-c*e^2*x^2+c*d^2)/c/e-2/5*(e*x+d)^(3/2)*sqrt(-c*e^2*x^2+c*d^2)/c/e,1],
[(e*x+d)^(3/2)/sqrt(-c*e^2*x^2+c*d^2),x,2,-8/3*d*sqrt(-c*e^2*x^2+c*d^2)/c/e/sqrt(e*x+d)-2/3*sqrt(e*x+d)*sqrt(-c*e^2*x^2+c*d^2)/c/e,1],
[sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2),x,1,-2*sqrt(-c*e^2*x^2+c*d^2)/c/e/sqrt(e*x+d),1],
[1/sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2),x,2,-sqrt(2)*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(c)/sqrt(d)/e,1],
[1/(e*x+d)^(3/2)/sqrt(-c*e^2*x^2+c*d^2),x,3,-1/2*sqrt(-c*e^2*x^2+c*d^2)/c/d/e/(e*x+d)^(3/2)-1/2*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/sqrt(c)/d^(3/2)/e,1],
[1/(e*x+d)^(5/2)/sqrt(-c*e^2*x^2+c*d^2),x,4,-1/4*sqrt(-c*e^2*x^2+c*d^2)/c/d/e/(e*x+d)^(5/2)-3/16*sqrt(-c*e^2*x^2+c*d^2)/c/d^2/e/(e*x+d)^(3/2)-3/16*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/sqrt(c)/d^(5/2)/e,1],
[(e*x+d)^(9/2)/(-c*e^2*x^2+c*d^2)^(3/2),x,4,2*(e*x+d)^(7/2)/c/e/sqrt(-c*e^2*x^2+c*d^2)+128/5*d^2*sqrt(-c*e^2*x^2+c*d^2)/c^2/e/sqrt(e*x+d)+32/5*d*sqrt(e*x+d)*sqrt(-c*e^2*x^2+c*d^2)/c^2/e+12/5*(e*x+d)^(3/2)*sqrt(-c*e^2*x^2+c*d^2)/c^2/e,1],
[(e*x+d)^(7/2)/(-c*e^2*x^2+c*d^2)^(3/2),x,3,2*(e*x+d)^(5/2)/c/e/sqrt(-c*e^2*x^2+c*d^2)+32/3*d*sqrt(-c*e^2*x^2+c*d^2)/c^2/e/sqrt(e*x+d)+8/3*sqrt(e*x+d)*sqrt(-c*e^2*x^2+c*d^2)/c^2/e,1],
[(e*x+d)^(5/2)/(-c*e^2*x^2+c*d^2)^(3/2),x,2,4*d*sqrt(e*x+d)/c/e/sqrt(-c*e^2*x^2+c*d^2)+2*sqrt(-c*e^2*x^2+c*d^2)/c^2/e/sqrt(e*x+d),1],
[(e*x+d)^(3/2)/(-c*e^2*x^2+c*d^2)^(3/2),x,1,2*sqrt(e*x+d)/c/e/sqrt(-c*e^2*x^2+c*d^2),1],
[sqrt(e*x+d)/(-c*e^2*x^2+c*d^2)^(3/2),x,3,sqrt(e*x+d)/c/d/e/sqrt(-c*e^2*x^2+c*d^2)-arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/c^(3/2)/d^(3/2)/e,1],
[1/sqrt(e*x+d)/(-c*e^2*x^2+c*d^2)^(3/2),x,3,1/4*(3*e*x+d)/c/d^2/e/sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2)-3/4*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/c^(3/2)/d^(5/2)/e,1],
[1/(e*x+d)^(3/2)/(-c*e^2*x^2+c*d^2)^(3/2),x,4,-1/4/c/d/e/(e*x+d)^(3/2)/sqrt(-c*e^2*x^2+c*d^2)+5/32*(3*e*x+d)/c/d^3/e/sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2)-15/32*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/c^(3/2)/d^(7/2)/e,1],
[(e*x+d)^(11/2)/(-c*e^2*x^2+c*d^2)^(5/2),x,4,2/3*(e*x+d)^(9/2)/c/e/(-c*e^2*x^2+c*d^2)^(3/2)-4*(e*x+d)^(5/2)/c^2/e/sqrt(-c*e^2*x^2+c*d^2)-64/3*d*sqrt(-c*e^2*x^2+c*d^2)/c^3/e/sqrt(e*x+d)-16/3*sqrt(e*x+d)*sqrt(-c*e^2*x^2+c*d^2)/c^3/e,1],
[(e*x+d)^(9/2)/(-c*e^2*x^2+c*d^2)^(5/2),x,3,2/3*(e*x+d)^(7/2)/c/e/(-c*e^2*x^2+c*d^2)^(3/2)-16/3*d*sqrt(e*x+d)/c^2/e/sqrt(-c*e^2*x^2+c*d^2)-8/3*sqrt(-c*e^2*x^2+c*d^2)/c^3/e/sqrt(e*x+d),1],
[(e*x+d)^(7/2)/(-c*e^2*x^2+c*d^2)^(5/2),x,2,2/3*(e*x+d)^(5/2)/c/e/(-c*e^2*x^2+c*d^2)^(3/2)-4/3*sqrt(e*x+d)/c^2/e/sqrt(-c*e^2*x^2+c*d^2),1],
[(e*x+d)^(5/2)/(-c*e^2*x^2+c*d^2)^(5/2),x,1,2/3*(e*x+d)^(3/2)/c/e/(-c*e^2*x^2+c*d^2)^(3/2),1],
[(e*x+d)^(3/2)/(-c*e^2*x^2+c*d^2)^(5/2),x,4,2/3*sqrt(e*x+d)/c/e/(-c*e^2*x^2+c*d^2)^(3/2)+1/6*(3*e*x+d)/c^2/d^2/e/sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2)-1/2*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/c^(5/2)/d^(5/2)/e,1],
[sqrt(e*x+d)/(-c*e^2*x^2+c*d^2)^(5/2),x,4,1/3*sqrt(e*x+d)/c/d/e/(-c*e^2*x^2+c*d^2)^(3/2)+5/24*(3*e*x+d)/c^2/d^3/e/sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2)-5/8*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/c^(5/2)/d^(7/2)/e,1],
[1/sqrt(e*x+d)/(-c*e^2*x^2+c*d^2)^(5/2),x,4,1/24*(7*e*x+d)/c/d^2/e/sqrt(e*x+d)/(-c*e^2*x^2+c*d^2)^(3/2)+35/192*(3*e*x+d)/c^2/d^4/e/sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2)-35/64*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/c^(5/2)/d^(9/2)/e,1],
[1/(e*x+d)^(3/2)/(-c*e^2*x^2+c*d^2)^(5/2),x,5,-1/6/c/d/e/(e*x+d)^(3/2)/(-c*e^2*x^2+c*d^2)^(3/2)+1/32*(7*e*x+d)/c/d^3/e/sqrt(e*x+d)/(-c*e^2*x^2+c*d^2)^(3/2)+35/256*(3*e*x+d)/c^2/d^5/e/sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2)-105/256*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/c^(5/2)/d^(11/2)/e,1],
[1/(e*x+d)^(5/2)/(-c*e^2*x^2+c*d^2)^(5/2),x,6,-1/8/c/d/e/(e*x+d)^(5/2)/(-c*e^2*x^2+c*d^2)^(3/2)-11/96/c/d^2/e/(e*x+d)^(3/2)/(-c*e^2*x^2+c*d^2)^(3/2)+11/512*(7*e*x+d)/c/d^4/e/sqrt(e*x+d)/(-c*e^2*x^2+c*d^2)^(3/2)+385/4096*(3*e*x+d)/c^2/d^6/e/sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2)-1155/4096*arctanh(sqrt(2)*sqrt(c)*sqrt(d)*sqrt(e*x+d)/sqrt(-c*e^2*x^2+c*d^2))/sqrt(2)/c^(5/2)/d^(13/2)/e,1],
[1/sqrt(-1+x)/sqrt(-x^2+1),x,2,-sqrt(2)*arctan(sqrt(2)*sqrt(-1+x)/sqrt(-x^2+1)),1],
[(e*x+2)^(5/2)*sqrt(-3*e^2*x^2+12),x,3,-128*(-e*x+2)^(3/2)/sqrt(3)/e+96/5*sqrt(3)*(-e*x+2)^(5/2)/e-24/7*sqrt(3)*(-e*x+2)^(7/2)/e+2/3*(-e*x+2)^(9/2)/sqrt(3)/e,1],
[(e*x+2)^(3/2)*sqrt(-3*e^2*x^2+12),x,3,-32*(-e*x+2)^(3/2)/sqrt(3)/e+16/5*sqrt(3)*(-e*x+2)^(5/2)/e-2/7*sqrt(3)*(-e*x+2)^(7/2)/e,1],
[sqrt(e*x+2)*sqrt(-3*e^2*x^2+12),x,3,-8*(-e*x+2)^(3/2)/sqrt(3)/e+2/5*sqrt(3)*(-e*x+2)^(5/2)/e,1],
[sqrt(-3*e^2*x^2+12)/sqrt(e*x+2),x,2,-2*(-e*x+2)^(3/2)/sqrt(3)/e,1],
[sqrt(-3*e^2*x^2+12)/(e*x+2)^(3/2),x,4,2*sqrt(3)*sqrt(-e*x+2)/e-4*sqrt(3)*arctanh(1/2*sqrt(-e*x+2))/e,1],
[sqrt(-3*e^2*x^2+12)/(e*x+2)^(5/2),x,4,-sqrt(3)*sqrt(-e*x+2)/e/(e*x+2)+1/2*sqrt(3)*arctanh(1/2*sqrt(-e*x+2))/e,1],
[sqrt(-3*e^2*x^2+12)/(e*x+2)^(7/2),x,5,-1/2*sqrt(3)*sqrt(-e*x+2)/e/(e*x+2)^2+1/16*sqrt(3)*sqrt(-e*x+2)/e/(e*x+2)+1/32*sqrt(3)*arctanh(1/2*sqrt(-e*x+2))/e,1],
[(e*x+2)^(5/2)*(-3*e^2*x^2+12)^(3/2),x,3,-1536/5*sqrt(3)*(-e*x+2)^(5/2)/e+1536/7*sqrt(3)*(-e*x+2)^(7/2)/e-64*sqrt(3)*(-e*x+2)^(9/2)/e+96/11*sqrt(3)*(-e*x+2)^(11/2)/e-6/13*sqrt(3)*(-e*x+2)^(13/2)/e,1],
[(e*x+2)^(3/2)*(-3*e^2*x^2+12)^(3/2),x,3,-384/5*sqrt(3)*(-e*x+2)^(5/2)/e+288/7*sqrt(3)*(-e*x+2)^(7/2)/e-8*sqrt(3)*(-e*x+2)^(9/2)/e+6/11*sqrt(3)*(-e*x+2)^(11/2)/e,1],
[sqrt(e*x+2)*(-3*e^2*x^2+12)^(3/2),x,3,-96/5*sqrt(3)*(-e*x+2)^(5/2)/e+48/7*sqrt(3)*(-e*x+2)^(7/2)/e-2*(-e*x+2)^(9/2)/sqrt(3)/e,1],
[(-3*e^2*x^2+12)^(3/2)/sqrt(e*x+2),x,3,-24/5*sqrt(3)*(-e*x+2)^(5/2)/e+6/7*sqrt(3)*(-e*x+2)^(7/2)/e,1],
[(-3*e^2*x^2+12)^(3/2)/(e*x+2)^(3/2),x,2,-6/5*sqrt(3)*(-e*x+2)^(5/2)/e,1],
[(-3*e^2*x^2+12)^(3/2)/(e*x+2)^(5/2),x,5,24*sqrt(3)*sqrt(-e*x+2)/e+2*sqrt(3)*(-e*x+2)^(3/2)/e-48*sqrt(3)*arctanh(1/2*sqrt(-e*x+2))/e,1],
[(-3*e^2*x^2+12)^(3/2)/(e*x+2)^(7/2),x,5,-9*sqrt(3)*sqrt(-e*x+2)/e-3*sqrt(3)*(-e*x+2)^(3/2)/e/(e*x+2)+18*sqrt(3)*arctanh(1/2*sqrt(-e*x+2))/e,1],
[(-3*e^2*x^2+12)^(3/2)/(e*x+2)^(9/2),x,5,-3/2*sqrt(3)*(-e*x+2)^(3/2)/e/(e*x+2)^2+9/4*sqrt(3)*sqrt(-e*x+2)/e/(e*x+2)-9/8*sqrt(3)*arctanh(1/2*sqrt(-e*x+2))/e,1],
[(-3*e^2*x^2+12)^(3/2)/(e*x+2)^(11/2),x,6,-sqrt(3)*(-e*x+2)^(3/2)/e/(e*x+2)^3+3/4*sqrt(3)*sqrt(-e*x+2)/e/(e*x+2)^2-3/32*sqrt(3)*sqrt(-e*x+2)/e/(e*x+2)-3/64*sqrt(3)*arctanh(1/2*sqrt(-e*x+2))/e,1],
[(-3*e^2*x^2+12)^(3/2)/(e*x+2)^(13/2),x,7,-3/4*sqrt(3)*(-e*x+2)^(3/2)/e/(e*x+2)^4+3/8*sqrt(3)*sqrt(-e*x+2)/e/(e*x+2)^3-3/128*sqrt(3)*sqrt(-e*x+2)/e/(e*x+2)^2-9/1024*sqrt(3)*sqrt(-e*x+2)/e/(e*x+2)-9/2048*sqrt(3)*arctanh(1/2*sqrt(-e*x+2))/e,1],
[(e*x+2)^(7/2)/sqrt(-3*e^2*x^2+12),x,3,-128*sqrt(-e*x+2)/sqrt(3)/e+32*(-e*x+2)^(3/2)/sqrt(3)/e-8/5*sqrt(3)*(-e*x+2)^(5/2)/e+2/7*(-e*x+2)^(7/2)/sqrt(3)/e,1],
[(e*x+2)^(5/2)/sqrt(-3*e^2*x^2+12),x,3,-32*sqrt(-e*x+2)/sqrt(3)/e+16/3*(-e*x+2)^(3/2)/sqrt(3)/e-2/5*(-e*x+2)^(5/2)/sqrt(3)/e,1],
[(e*x+2)^(3/2)/sqrt(-3*e^2*x^2+12),x,3,-8*sqrt(-e*x+2)/sqrt(3)/e+2/3*(-e*x+2)^(3/2)/sqrt(3)/e,1],
[sqrt(e*x+2)/sqrt(-3*e^2*x^2+12),x,2,-2*sqrt(-e*x+2)/sqrt(3)/e,1],
[1/sqrt(e*x+2)/sqrt(-3*e^2*x^2+12),x,3,-arctanh(1/2*sqrt(-e*x+2))/sqrt(3)/e,1],
[1/(e*x+2)^(3/2)/sqrt(-3*e^2*x^2+12),x,4,-1/4*sqrt(-e*x+2)/sqrt(3)/e/(e*x+2)-1/8*arctanh(1/2*sqrt(-e*x+2))/sqrt(3)/e,1],
[1/(e*x+2)^(5/2)/sqrt(-3*e^2*x^2+12),x,5,-1/8*sqrt(-e*x+2)/sqrt(3)/e/(e*x+2)^2-1/64*sqrt(3)*sqrt(-e*x+2)/e/(e*x+2)-1/128*sqrt(3)*arctanh(1/2*sqrt(-e*x+2))/e,1],
[(e*x+2)^(11/2)/(-3*e^2*x^2+12)^(3/2),x,3,512/3/sqrt(3)/e/sqrt(-e*x+2)+512/3*sqrt(-e*x+2)/sqrt(3)/e-64/3*(-e*x+2)^(3/2)/sqrt(3)/e+32/15*(-e*x+2)^(5/2)/sqrt(3)/e-2/21*(-e*x+2)^(7/2)/sqrt(3)/e,1],
[(e*x+2)^(9/2)/(-3*e^2*x^2+12)^(3/2),x,3,128/3/sqrt(3)/e/sqrt(-e*x+2)+32*sqrt(-e*x+2)/sqrt(3)/e-8/3*(-e*x+2)^(3/2)/sqrt(3)/e+2/15*(-e*x+2)^(5/2)/sqrt(3)/e,1],
[(e*x+2)^(7/2)/(-3*e^2*x^2+12)^(3/2),x,3,32/3/sqrt(3)/e/sqrt(-e*x+2)+16/3*sqrt(-e*x+2)/sqrt(3)/e-2/9*(-e*x+2)^(3/2)/sqrt(3)/e,1],
[(e*x+2)^(5/2)/(-3*e^2*x^2+12)^(3/2),x,3,8/3/sqrt(3)/e/sqrt(-e*x+2)+2/3*sqrt(-e*x+2)/sqrt(3)/e,1],
[(e*x+2)^(3/2)/(-3*e^2*x^2+12)^(3/2),x,2,2/3/sqrt(3)/e/sqrt(-e*x+2),1],
[sqrt(e*x+2)/(-3*e^2*x^2+12)^(3/2),x,4,1/6/sqrt(3)/e/sqrt(-e*x+2)-1/12*arctanh(1/2*sqrt(-e*x+2))/sqrt(3)/e,1],
[1/sqrt(e*x+2)/(-3*e^2*x^2+12)^(3/2),x,5,1/16/sqrt(3)/e/sqrt(-e*x+2)-1/12/sqrt(3)/e/sqrt(-e*x+2)/(e*x+2)-1/32*arctanh(1/2*sqrt(-e*x+2))/sqrt(3)/e,1],
[1/(e*x+2)^(3/2)/(-3*e^2*x^2+12)^(3/2),x,6,5/256/sqrt(3)/e/sqrt(-e*x+2)-1/24/sqrt(3)/e/sqrt(-e*x+2)/(e*x+2)^2-5/192/sqrt(3)/e/sqrt(-e*x+2)/(e*x+2)-5/512*arctanh(1/2*sqrt(-e*x+2))/sqrt(3)/e,1],
[1/sqrt(1-x)/(1+x),x,2,-sqrt(2)*arctanh(sqrt(1-x)/sqrt(2)),1],
[1/sqrt(1+x)/sqrt(-x^2+1),x,3,-sqrt(2)*arctanh(sqrt(1-x)/sqrt(2)),1],
[1/sqrt(-a*x+1)/(a*x+1),x,2,-sqrt(2)*arctanh(sqrt(-a*x+1)/sqrt(2))/a,1],
[1/sqrt(a*x+1)/sqrt(-a^2*x^2+1),x,3,-sqrt(2)*arctanh(sqrt(-a*x+1)/sqrt(2))/a,1],
[(d*x+c)^3*(-d^2*x^2+c^2)^(1/3),x,5,12/11*c^3*x*(-d^2*x^2+c^2)^(1/3)-3/14*(d*x+c)^2*(-d^2*x^2+c^2)^(4/3)/d-15/154*c*(4*d*x+11*c)*(-d^2*x^2+c^2)^(4/3)/d+8/11*3^(3/4)*sqrt(2-sqrt(3))*c^5*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)^2*(-d^2*x^2+c^2)^(1/3),x,4,42/55*c^2*x*(-d^2*x^2+c^2)^(1/3)-3/44*(4*d*x+11*c)*(-d^2*x^2+c^2)^(4/3)/d+28/55*3^(3/4)*sqrt(2-sqrt(3))*c^4*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)*(-d^2*x^2+c^2)^(1/3),x,4,3/5*c*x*(-d^2*x^2+c^2)^(1/3)-3/8*(-d^2*x^2+c^2)^(4/3)/d+2/5*3^(3/4)*sqrt(2-sqrt(3))*c^3*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d^2*x^2+c^2)^(1/3),x,3,3/5*x*(-d^2*x^2+c^2)^(1/3)+2/5*3^(3/4)*sqrt(2-sqrt(3))*c^2*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d^2*x^2+c^2)^(1/3)/(d*x+c),x,3,3/2*(-d^2*x^2+c^2)^(1/3)/d+3^(3/4)*sqrt(2-sqrt(3))*c*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d^2*x^2+c^2)^(1/3)/(d*x+c)^2,x,3,-3/2*(-d^2*x^2+c^2)^(1/3)/d/(d*x+c)-1/2*3^(3/4)*sqrt(2-sqrt(3))*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d^2*x^2+c^2)^(1/3)/(d*x+c)^3,x,4,-3/5*(-d^2*x^2+c^2)^(1/3)/d/(d*x+c)^2+3/20*(-d^2*x^2+c^2)^(1/3)/c/d/(d*x+c)-1/20*3^(3/4)*sqrt(2-sqrt(3))*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/c/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)^3*(-d^2*x^2+c^2)^(2/3),x,7,66/91*c^3*x*(-d^2*x^2+c^2)^(2/3)-3/16*(d*x+c)^2*(-d^2*x^2+c^2)^(5/3)/d-33/520*c*(5*d*x+13*c)*(-d^2*x^2+c^2)^(5/3)/d-264*c^5*x/(91*(1-sqrt(3))*c^(2/3)-91*(-d^2*x^2+c^2)^(1/3))-132/91*3^(1/4)*sqrt(2+sqrt(3))*c^(17/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)+88/91*sqrt(2)*3^(3/4)*c^(17/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)^2*(-d^2*x^2+c^2)^(2/3),x,6,48/91*c^2*x*(-d^2*x^2+c^2)^(2/3)-3/65*(5*d*x+13*c)*(-d^2*x^2+c^2)^(5/3)/d-192*c^4*x/(91*(1-sqrt(3))*c^(2/3)-91*(-d^2*x^2+c^2)^(1/3))-96/91*3^(1/4)*sqrt(2+sqrt(3))*c^(14/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)+64/91*sqrt(2)*3^(3/4)*c^(14/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)*(-d^2*x^2+c^2)^(2/3),x,6,3/7*c*x*(-d^2*x^2+c^2)^(2/3)-3/10*(-d^2*x^2+c^2)^(5/3)/d-12*c^3*x/(7*(1-sqrt(3))*c^(2/3)-7*(-d^2*x^2+c^2)^(1/3))-6/7*3^(1/4)*sqrt(2+sqrt(3))*c^(11/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)+4/7*sqrt(2)*3^(3/4)*c^(11/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d^2*x^2+c^2)^(2/3),x,5,3/7*x*(-d^2*x^2+c^2)^(2/3)-12*c^2*x/(7*(1-sqrt(3))*c^(2/3)-7*(-d^2*x^2+c^2)^(1/3))-6/7*3^(1/4)*sqrt(2+sqrt(3))*c^(8/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)+4/7*sqrt(2)*3^(3/4)*c^(8/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d^2*x^2+c^2)^(2/3)/(d*x+c),x,5,3/4*(-d^2*x^2+c^2)^(2/3)/d-3*c*x/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))-3/2*3^(1/4)*sqrt(2+sqrt(3))*c^(5/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)+sqrt(2)*3^(3/4)*c^(5/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d^2*x^2+c^2)^(2/3)/(d*x+c)^2,x,5,-3*(-d^2*x^2+c^2)^(2/3)/d/(d*x+c)+6*x/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))+3*3^(1/4)*sqrt(2+sqrt(3))*c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)-2*sqrt(2)*3^(3/4)*c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d^2*x^2+c^2)^(2/3)/(d*x+c)^3,x,6,-3/4*(-d^2*x^2+c^2)^(2/3)/d/(d*x+c)^2+3/4*(-d^2*x^2+c^2)^(2/3)/c/d/(d*x+c)-3/4*x/c/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))-3/8*3^(1/4)*sqrt(2+sqrt(3))*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/c^(1/3)/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)+1/2*3^(3/4)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/c^(1/3)/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)^3/(-d^2*x^2+c^2)^(1/3),x,6,-3/10*(d*x+c)^2*(-d^2*x^2+c^2)^(2/3)/d-12/35*c*(2*d*x+7*c)*(-d^2*x^2+c^2)^(2/3)/d-48*c^3*x/(7*(1-sqrt(3))*c^(2/3)-7*(-d^2*x^2+c^2)^(1/3))-24/7*3^(1/4)*sqrt(2+sqrt(3))*c^(11/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)+16/7*sqrt(2)*3^(3/4)*c^(11/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)^2/(-d^2*x^2+c^2)^(1/3),x,5,-3/14*(2*d*x+7*c)*(-d^2*x^2+c^2)^(2/3)/d-30*c^2*x/(7*(1-sqrt(3))*c^(2/3)-7*(-d^2*x^2+c^2)^(1/3))-15/7*3^(1/4)*sqrt(2+sqrt(3))*c^(8/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)+10/7*sqrt(2)*3^(3/4)*c^(8/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)/(-d^2*x^2+c^2)^(1/3),x,5,-3/4*(-d^2*x^2+c^2)^(2/3)/d-3*c*x/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))-3/2*3^(1/4)*sqrt(2+sqrt(3))*c^(5/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)+sqrt(2)*3^(3/4)*c^(5/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[1/(-d^2*x^2+c^2)^(1/3),x,4,-3*x/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))-3/2*3^(1/4)*sqrt(2+sqrt(3))*c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)+sqrt(2)*3^(3/4)*c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[1/(d*x+c)/(-d^2*x^2+c^2)^(1/3),x,5,-3/2*(-d^2*x^2+c^2)^(2/3)/c/d/(d*x+c)+3/2*x/c/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))+3/4*3^(1/4)*sqrt(2+sqrt(3))*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/c^(1/3)/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)-3^(3/4)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/c^(1/3)/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[1/(d*x+c)^2/(-d^2*x^2+c^2)^(1/3),x,6,3/8*x/c^2/(-d^2*x^2+c^2)^(1/3)-3/4/d/(d*x+c)/(-d^2*x^2+c^2)^(1/3)+3/8*x/c^2/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))+3/16*3^(1/4)*sqrt(2+sqrt(3))*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/c^(4/3)/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)-1/4*3^(3/4)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/c^(4/3)/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[1/(d*x+c)^3/(-d^2*x^2+c^2)^(1/3),x,7,15/112*x/c^3/(-d^2*x^2+c^2)^(1/3)-3/7/d/(d*x+c)^2/(-d^2*x^2+c^2)^(1/3)-3/56/c/d/(d*x+c)/(-d^2*x^2+c^2)^(1/3)+15/112*x/c^3/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))+15/224*3^(1/4)*sqrt(2+sqrt(3))*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*EllipticE(sin(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3)))),sqrt(-7+4*sqrt(3)))/c^(7/3)/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)-5/56*3^(3/4)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/sqrt(2)/c^(7/3)/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)^3/(-d^2*x^2+c^2)^(2/3),x,4,-3/8*(d*x+c)^2*(-d^2*x^2+c^2)^(1/3)/d-21/20*c*(d*x+5*c)*(-d^2*x^2+c^2)^(1/3)/d+14/5*3^(3/4)*sqrt(2-sqrt(3))*c^3*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)^2/(-d^2*x^2+c^2)^(2/3),x,3,-3/5*(d*x+5*c)*(-d^2*x^2+c^2)^(1/3)/d+8/5*3^(3/4)*sqrt(2-sqrt(3))*c^2*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)/(-d^2*x^2+c^2)^(2/3),x,3,-3/2*(-d^2*x^2+c^2)^(1/3)/d+3^(3/4)*sqrt(2-sqrt(3))*c*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[1/(-d^2*x^2+c^2)^(2/3),x,2,3^(3/4)*sqrt(2-sqrt(3))*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[1/(d*x+c)/(-d^2*x^2+c^2)^(2/3),x,3,-3/4*(-d^2*x^2+c^2)^(1/3)/c/d/(d*x+c)+1/4*3^(3/4)*sqrt(2-sqrt(3))*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/c/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[1/(d*x+c)^2/(-d^2*x^2+c^2)^(2/3),x,4,3/10*x/c^2/(-d^2*x^2+c^2)^(2/3)-3/5/d/(d*x+c)/(-d^2*x^2+c^2)^(2/3)+1/10*3^(3/4)*sqrt(2-sqrt(3))*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/c^2/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[1/(d*x+c)^3/(-d^2*x^2+c^2)^(2/3),x,5,21/160*x/c^3/(-d^2*x^2+c^2)^(2/3)-3/8/d/(d*x+c)^2/(-d^2*x^2+c^2)^(2/3)-3/40/c/d/(d*x+c)/(-d^2*x^2+c^2)^(2/3)+7/160*3^(3/4)*sqrt(2-sqrt(3))*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/c^3/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d*x+c)/(-d^2*x^2+c^2)^(2/3),x,3,3/2*(-d^2*x^2+c^2)^(1/3)/d+3^(3/4)*sqrt(2-sqrt(3))*c*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d^2*x^2+c^2)^(1/3)/(d*x+c),x,3,3/2*(-d^2*x^2+c^2)^(1/3)/d+3^(3/4)*sqrt(2-sqrt(3))*c*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arcsin(((1+sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))),sqrt(-7+4*sqrt(3)))/d^2/x/sqrt(-c^(2/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/((1-sqrt(3))*c^(2/3)-(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)^(8/3)*(-d^2*x^2+c^2)^(1/3),x,4,-486/455*c^3*(-d^2*x^2+c^2)^(4/3)/d/(d*x+c)^(4/3)-324/455*c^2*(-d^2*x^2+c^2)^(4/3)/d/(d*x+c)^(1/3)-27/65*c*(d*x+c)^(2/3)*(-d^2*x^2+c^2)^(4/3)/d-3/13*(d*x+c)^(5/3)*(-d^2*x^2+c^2)^(4/3)/d,1],
[(d*x+c)^(5/3)*(-d^2*x^2+c^2)^(1/3),x,3,-27/35*c^2*(-d^2*x^2+c^2)^(4/3)/d/(d*x+c)^(4/3)-18/35*c*(-d^2*x^2+c^2)^(4/3)/d/(d*x+c)^(1/3)-3/10*(d*x+c)^(2/3)*(-d^2*x^2+c^2)^(4/3)/d,1],
[(d*x+c)^(2/3)*(-d^2*x^2+c^2)^(1/3),x,2,-9/14*c*(-d^2*x^2+c^2)^(4/3)/d/(d*x+c)^(4/3)-3/7*(-d^2*x^2+c^2)^(4/3)/d/(d*x+c)^(1/3),1],
[(-d^2*x^2+c^2)^(1/3)/(d*x+c)^(1/3),x,1,-3/4*(-d^2*x^2+c^2)^(4/3)/d/(d*x+c)^(4/3),1],
[(-d^2*x^2+c^2)^(1/3)/(d*x+c)^(4/3),x,8,3*(-d^2*x^2+c^2)^(1/3)/d/(d*x+c)^(1/3)-2^(1/3)*sqrt(3)*c^(1/3)*(-d^2*x^2+c^2)^(1/3)*arctan((c^(1/3)+2^(2/3)*(-d*x+c)^(1/3))/sqrt(3)/c^(1/3))/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3)-1/2*c^(1/3)*(-d^2*x^2+c^2)^(1/3)*ln(d*x+c)*2^(1/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3)+3/2*c^(1/3)*(-d^2*x^2+c^2)^(1/3)*ln(2^(1/3)*c^(1/3)-(-d*x+c)^(1/3))*2^(1/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3),1],
[(-d^2*x^2+c^2)^(1/3)/(d*x+c)^(7/3),x,8,-(-d^2*x^2+c^2)^(1/3)/d/(d*x+c)^(4/3)+1/2*(-d^2*x^2+c^2)^(1/3)*arctan((c^(1/3)+2^(2/3)*(-d*x+c)^(1/3))/sqrt(3)/c^(1/3))*2^(1/3)/sqrt(3)/c^(2/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3)+1/12*(-d^2*x^2+c^2)^(1/3)*ln(d*x+c)*2^(1/3)/c^(2/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3)-1/4*(-d^2*x^2+c^2)^(1/3)*ln(2^(1/3)*c^(1/3)-(-d*x+c)^(1/3))*2^(1/3)/c^(2/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3),1],
[(-d^2*x^2+c^2)^(1/3)/(d*x+c)^(10/3),x,9,-1/2*(-d^2*x^2+c^2)^(1/3)/d/(d*x+c)^(7/3)+1/12*(-d^2*x^2+c^2)^(1/3)/c/d/(d*x+c)^(4/3)+1/12*(-d^2*x^2+c^2)^(1/3)*arctan((c^(1/3)+2^(2/3)*(-d*x+c)^(1/3))/sqrt(3)/c^(1/3))*2^(1/3)/sqrt(3)/c^(5/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3)+1/72*(-d^2*x^2+c^2)^(1/3)*ln(d*x+c)*2^(1/3)/c^(5/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3)-1/24*(-d^2*x^2+c^2)^(1/3)*ln(2^(1/3)*c^(1/3)-(-d*x+c)^(1/3))*2^(1/3)/c^(5/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3),1],
[(-d^2*x^2+c^2)^(1/3)/(d*x+c)^(13/3),x,10,-1/3*(-d^2*x^2+c^2)^(1/3)/d/(d*x+c)^(10/3)+1/36*(-d^2*x^2+c^2)^(1/3)/c/d/(d*x+c)^(7/3)+5/216*(-d^2*x^2+c^2)^(1/3)/c^2/d/(d*x+c)^(4/3)+5/216*(-d^2*x^2+c^2)^(1/3)*arctan((c^(1/3)+2^(2/3)*(-d*x+c)^(1/3))/sqrt(3)/c^(1/3))*2^(1/3)/sqrt(3)/c^(8/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3)+5/1296*(-d^2*x^2+c^2)^(1/3)*ln(d*x+c)*2^(1/3)/c^(8/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3)-5/432*(-d^2*x^2+c^2)^(1/3)*ln(2^(1/3)*c^(1/3)-(-d*x+c)^(1/3))*2^(1/3)/c^(8/3)/d/(-d*x+c)^(1/3)/(d*x+c)^(1/3),1],
[(d*x+c)^(2/3)*(-d^2*x^2+c^2)^(2/3),x,5,8/27*c^2*(-d^2*x^2+c^2)^(2/3)/d/(d*x+c)^(1/3)-4/9*c*(-d^2*x^2+c^2)^(5/3)/d/(d*x+c)^(4/3)-1/3*(-d^2*x^2+c^2)^(5/3)/d/(d*x+c)^(1/3)+32/27*c^3*(-d^2*x^2+c^2)^(2/3)*arctan(1/sqrt(3)-2*(-d*x+c)^(1/3)/sqrt(3)/(d*x+c)^(1/3))/sqrt(3)/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3)+16/81*c^3*(-d^2*x^2+c^2)^(2/3)*ln(d*x+c)/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3)+16/27*c^3*(-d^2*x^2+c^2)^(2/3)*ln(1+(-d*x+c)^(1/3)/(d*x+c)^(1/3))/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3),1],
[(-d^2*x^2+c^2)^(2/3)/(d*x+c)^(1/3),x,4,1/3*c*(-d^2*x^2+c^2)^(2/3)/d/(d*x+c)^(1/3)-1/2*(-d^2*x^2+c^2)^(5/3)/d/(d*x+c)^(4/3)+4/3*c^2*(-d^2*x^2+c^2)^(2/3)*arctan(1/sqrt(3)-2*(-d*x+c)^(1/3)/sqrt(3)/(d*x+c)^(1/3))/sqrt(3)/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3)+2/9*c^2*(-d^2*x^2+c^2)^(2/3)*ln(d*x+c)/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3)+2/3*c^2*(-d^2*x^2+c^2)^(2/3)*ln(1+(-d*x+c)^(1/3)/(d*x+c)^(1/3))/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3),1],
[(-d^2*x^2+c^2)^(2/3)/(d*x+c)^(4/3),x,3,(-d^2*x^2+c^2)^(2/3)/d/(d*x+c)^(1/3)+4*c*(-d^2*x^2+c^2)^(2/3)*arctan(1/sqrt(3)-2*(-d*x+c)^(1/3)/sqrt(3)/(d*x+c)^(1/3))/sqrt(3)/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3)+2/3*c*(-d^2*x^2+c^2)^(2/3)*ln(d*x+c)/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3)+2*c*(-d^2*x^2+c^2)^(2/3)*ln(1+(-d*x+c)^(1/3)/(d*x+c)^(1/3))/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3),1],
[(-d^2*x^2+c^2)^(2/3)/(d*x+c)^(7/3),x,3,-3/2*(-d^2*x^2+c^2)^(2/3)/d/(d*x+c)^(4/3)-sqrt(3)*(-d^2*x^2+c^2)^(2/3)*arctan(1/sqrt(3)-2*(-d*x+c)^(1/3)/sqrt(3)/(d*x+c)^(1/3))/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3)-1/2*(-d^2*x^2+c^2)^(2/3)*ln(d*x+c)/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3)-3/2*(-d^2*x^2+c^2)^(2/3)*ln(1+(-d*x+c)^(1/3)/(d*x+c)^(1/3))/d/(-d*x+c)^(2/3)/(d*x+c)^(2/3),1],
[(-d^2*x^2+c^2)^(2/3)/(d*x+c)^(10/3),x,1,-3/10*(-d^2*x^2+c^2)^(5/3)/c/d/(d*x+c)^(10/3),1],
[(-d^2*x^2+c^2)^(2/3)/(d*x+c)^(13/3),x,2,-3/16*(-d^2*x^2+c^2)^(5/3)/c/d/(d*x+c)^(13/3)-9/160*(-d^2*x^2+c^2)^(5/3)/c^2/d/(d*x+c)^(10/3),1],
[(-d^2*x^2+c^2)^(2/3)/(d*x+c)^(16/3),x,3,-3/22*(-d^2*x^2+c^2)^(5/3)/c/d/(d*x+c)^(16/3)-9/176*(-d^2*x^2+c^2)^(5/3)/c^2/d/(d*x+c)^(13/3)-27/1760*(-d^2*x^2+c^2)^(5/3)/c^3/d/(d*x+c)^(10/3),1],
[(-d^2*x^2+c^2)^(2/3)/(d*x+c)^(19/3),x,4,-3/28*(-d^2*x^2+c^2)^(5/3)/c/d/(d*x+c)^(19/3)-27/616*(-d^2*x^2+c^2)^(5/3)/c^2/d/(d*x+c)^(16/3)-81/4928*(-d^2*x^2+c^2)^(5/3)/c^3/d/(d*x+c)^(13/3)-243/49280*(-d^2*x^2+c^2)^(5/3)/c^4/d/(d*x+c)^(10/3),1],
[(d*x+c)^(5/3)/(-d^2*x^2+c^2)^(1/3),x,4,-4/3*c*(-d^2*x^2+c^2)^(2/3)/d/(d*x+c)^(1/3)-1/2*(d*x+c)^(2/3)*(-d^2*x^2+c^2)^(2/3)/d+8/3*c^2*(-d*x+c)^(1/3)*(d*x+c)^(1/3)*arctan(1/sqrt(3)-2*(-d*x+c)^(1/3)/sqrt(3)/(d*x+c)^(1/3))/sqrt(3)/d/(-d^2*x^2+c^2)^(1/3)+4/9*c^2*(-d*x+c)^(1/3)*(d*x+c)^(1/3)*ln(d*x+c)/d/(-d^2*x^2+c^2)^(1/3)+4/3*c^2*(-d*x+c)^(1/3)*(d*x+c)^(1/3)*ln(1+(-d*x+c)^(1/3)/(d*x+c)^(1/3))/d/(-d^2*x^2+c^2)^(1/3),1],
[(d*x+c)^(2/3)/(-d^2*x^2+c^2)^(1/3),x,3,-(-d^2*x^2+c^2)^(2/3)/d/(d*x+c)^(1/3)+2*c*(-d*x+c)^(1/3)*(d*x+c)^(1/3)*arctan(1/sqrt(3)-2*(-d*x+c)^(1/3)/sqrt(3)/(d*x+c)^(1/3))/sqrt(3)/d/(-d^2*x^2+c^2)^(1/3)+1/3*c*(-d*x+c)^(1/3)*(d*x+c)^(1/3)*ln(d*x+c)/d/(-d^2*x^2+c^2)^(1/3)+c*(-d*x+c)^(1/3)*(d*x+c)^(1/3)*ln(1+(-d*x+c)^(1/3)/(d*x+c)^(1/3))/d/(-d^2*x^2+c^2)^(1/3),1],
[1/(d*x+c)^(1/3)/(-d^2*x^2+c^2)^(1/3),x,2,sqrt(3)*(-d*x+c)^(1/3)*(d*x+c)^(1/3)*arctan(1/sqrt(3)-2*(-d*x+c)^(1/3)/sqrt(3)/(d*x+c)^(1/3))/d/(-d^2*x^2+c^2)^(1/3)+1/2*(-d*x+c)^(1/3)*(d*x+c)^(1/3)*ln(d*x+c)/d/(-d^2*x^2+c^2)^(1/3)+3/2*(-d*x+c)^(1/3)*(d*x+c)^(1/3)*ln(1+(-d*x+c)^(1/3)/(d*x+c)^(1/3))/d/(-d^2*x^2+c^2)^(1/3),1],
[1/(d*x+c)^(4/3)/(-d^2*x^2+c^2)^(1/3),x,1,-3/4*(-d^2*x^2+c^2)^(2/3)/c/d/(d*x+c)^(4/3),1],
[1/(d*x+c)^(7/3)/(-d^2*x^2+c^2)^(1/3),x,2,-3/10*(-d^2*x^2+c^2)^(2/3)/c/d/(d*x+c)^(7/3)-9/40*(-d^2*x^2+c^2)^(2/3)/c^2/d/(d*x+c)^(4/3),1],
[1/(d*x+c)^(10/3)/(-d^2*x^2+c^2)^(1/3),x,3,-3/16*(-d^2*x^2+c^2)^(2/3)/c/d/(d*x+c)^(10/3)-9/80*(-d^2*x^2+c^2)^(2/3)/c^2/d/(d*x+c)^(7/3)-27/320*(-d^2*x^2+c^2)^(2/3)/c^3/d/(d*x+c)^(4/3),1],
[1/(d*x+c)^(13/3)/(-d^2*x^2+c^2)^(1/3),x,4,-3/22*(-d^2*x^2+c^2)^(2/3)/c/d/(d*x+c)^(13/3)-27/352*(-d^2*x^2+c^2)^(2/3)/c^2/d/(d*x+c)^(10/3)-81/1760*(-d^2*x^2+c^2)^(2/3)/c^3/d/(d*x+c)^(7/3)-243/7040*(-d^2*x^2+c^2)^(2/3)/c^4/d/(d*x+c)^(4/3),1],
[(d*x+c)^(11/3)/(-d^2*x^2+c^2)^(2/3),x,4,-486/35*c^3*(-d^2*x^2+c^2)^(1/3)/d/(d*x+c)^(1/3)-81/35*c^2*(d*x+c)^(2/3)*(-d^2*x^2+c^2)^(1/3)/d-27/35*c*(d*x+c)^(5/3)*(-d^2*x^2+c^2)^(1/3)/d-3/10*(d*x+c)^(8/3)*(-d^2*x^2+c^2)^(1/3)/d,1],
[(d*x+c)^(8/3)/(-d^2*x^2+c^2)^(2/3),x,3,-54/7*c^2*(-d^2*x^2+c^2)^(1/3)/d/(d*x+c)^(1/3)-9/7*c*(d*x+c)^(2/3)*(-d^2*x^2+c^2)^(1/3)/d-3/7*(d*x+c)^(5/3)*(-d^2*x^2+c^2)^(1/3)/d,1],
[(d*x+c)^(5/3)/(-d^2*x^2+c^2)^(2/3),x,2,-9/2*c*(-d^2*x^2+c^2)^(1/3)/d/(d*x+c)^(1/3)-3/4*(d*x+c)^(2/3)*(-d^2*x^2+c^2)^(1/3)/d,1],
[(d*x+c)^(2/3)/(-d^2*x^2+c^2)^(2/3),x,1,-3*(-d^2*x^2+c^2)^(1/3)/d/(d*x+c)^(1/3),1],
[1/(d*x+c)^(1/3)/(-d^2*x^2+c^2)^(2/3),x,7,-1/2*sqrt(3)*(-d*x+c)^(2/3)*(d*x+c)^(2/3)*arctan((c^(1/3)+2^(2/3)*(-d*x+c)^(1/3))/sqrt(3)/c^(1/3))*2^(1/3)/c^(2/3)/d/(-d^2*x^2+c^2)^(2/3)-1/4*(-d*x+c)^(2/3)*(d*x+c)^(2/3)*ln(d*x+c)*2^(1/3)/c^(2/3)/d/(-d^2*x^2+c^2)^(2/3)+3/4*(-d*x+c)^(2/3)*(d*x+c)^(2/3)*ln(2^(1/3)*c^(1/3)-(-d*x+c)^(1/3))*2^(1/3)/c^(2/3)/d/(-d^2*x^2+c^2)^(2/3),1],
[1/(d*x+c)^(4/3)/(-d^2*x^2+c^2)^(2/3),x,8,-1/2*(-d^2*x^2+c^2)^(1/3)/c/d/(d*x+c)^(4/3)-1/2*(-d*x+c)^(2/3)*(d*x+c)^(2/3)*arctan((c^(1/3)+2^(2/3)*(-d*x+c)^(1/3))/sqrt(3)/c^(1/3))*2^(1/3)/sqrt(3)/c^(5/3)/d/(-d^2*x^2+c^2)^(2/3)-1/12*(-d*x+c)^(2/3)*(d*x+c)^(2/3)*ln(d*x+c)*2^(1/3)/c^(5/3)/d/(-d^2*x^2+c^2)^(2/3)+1/4*(-d*x+c)^(2/3)*(d*x+c)^(2/3)*ln(2^(1/3)*c^(1/3)-(-d*x+c)^(1/3))*2^(1/3)/c^(5/3)/d/(-d^2*x^2+c^2)^(2/3),1],
[1/(d*x+c)^(7/3)/(-d^2*x^2+c^2)^(2/3),x,9,-1/4*(-d^2*x^2+c^2)^(1/3)/c/d/(d*x+c)^(7/3)-5/24*(-d^2*x^2+c^2)^(1/3)/c^2/d/(d*x+c)^(4/3)-5/24*(-d*x+c)^(2/3)*(d*x+c)^(2/3)*arctan((c^(1/3)+2^(2/3)*(-d*x+c)^(1/3))/sqrt(3)/c^(1/3))*2^(1/3)/sqrt(3)/c^(8/3)/d/(-d^2*x^2+c^2)^(2/3)-5/144*(-d*x+c)^(2/3)*(d*x+c)^(2/3)*ln(d*x+c)*2^(1/3)/c^(8/3)/d/(-d^2*x^2+c^2)^(2/3)+5/48*(-d*x+c)^(2/3)*(d*x+c)^(2/3)*ln(2^(1/3)*c^(1/3)-(-d*x+c)^(1/3))*2^(1/3)/c^(8/3)/d/(-d^2*x^2+c^2)^(2/3),1],
[(-d*x+c)/(-d^2*x^2+c^2)^(3/4),x,3,2*(-d^2*x^2+c^2)^(1/4)/d+2*c^2*(1-d^2*x^2/c^2)^(3/4)*InverseJacobiAM(1/2*arcsin(d*x/c),sqrt(2))/d/(-d^2*x^2+c^2)^(3/4),1],
[(-d^2*x^2+c^2)^(1/4)/(d*x+c),x,3,2*(-d^2*x^2+c^2)^(1/4)/d+2*c^2*(1-d^2*x^2/c^2)^(3/4)*InverseJacobiAM(1/2*arcsin(d*x/c),sqrt(2))/d/(-d^2*x^2+c^2)^(3/4),1],
[sqrt(e*x+2)*(-3*e^2*x^2+12)^(1/4),x,13,3/2*3^(1/4)*sqrt(e*x+2)*(-e^2*x^2+4)^(1/4)/e-1/2*3^(1/4)*(-e^2*x^2+4)^(5/4)/e/sqrt(e*x+2)-3*3^(1/4)*arctan(1-sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))/sqrt(2)/e+3*3^(1/4)*arctan(1+sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))/sqrt(2)/e-3*3^(1/4)*arctanh(sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4)/(1+sqrt(e*x+2)/sqrt(-e*x+2)))/sqrt(2)/e,1],
[(-3*e^2*x^2+12)^(1/4)/sqrt(e*x+2),x,12,3^(1/4)*sqrt(e*x+2)*(-e^2*x^2+4)^(1/4)/e-sqrt(2)*3^(1/4)*arctan(1-sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))/e+sqrt(2)*3^(1/4)*arctan(1+sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))/e-sqrt(2)*3^(1/4)*arctanh(sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4)/(1+sqrt(e*x+2)/sqrt(-e*x+2)))/e,1],
[(-3*e^2*x^2+12)^(1/4)/(e*x+2)^(3/2),x,12,-4*3^(1/4)*(-e^2*x^2+4)^(1/4)/e/sqrt(e*x+2)+sqrt(2)*3^(1/4)*arctan(1-sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))/e-sqrt(2)*3^(1/4)*arctan(1+sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))/e+sqrt(2)*3^(1/4)*arctanh(sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4)/(1+sqrt(e*x+2)/sqrt(-e*x+2)))/e,1],
[(-3*e^2*x^2+12)^(1/4)/(e*x+2)^(5/2),x,1,-1/5*3^(1/4)*(-e^2*x^2+4)^(5/4)/e/(e*x+2)^(5/2),1],
[(-3*e^2*x^2+12)^(1/4)/(e*x+2)^(7/2),x,2,-1/9*(-e^2*x^2+4)^(5/4)*3^(1/4)/e/(e*x+2)^(7/2)-1/45*3^(1/4)*(-e^2*x^2+4)^(5/4)/e/(e*x+2)^(5/2),1],
[(-3*e^2*x^2+12)^(1/4)/(e*x+2)^(9/2),x,3,-1/13*3^(1/4)*(-e^2*x^2+4)^(5/4)/e/(e*x+2)^(9/2)-2/117*(-e^2*x^2+4)^(5/4)*3^(1/4)/e/(e*x+2)^(7/2)-2/585*3^(1/4)*(-e^2*x^2+4)^(5/4)/e/(e*x+2)^(5/2),1],
[(-3*e^2*x^2+12)^(1/4)/(e*x+2)^(11/2),x,4,-1/17*3^(1/4)*(-e^2*x^2+4)^(5/4)/e/(e*x+2)^(11/2)-3/221*3^(1/4)*(-e^2*x^2+4)^(5/4)/e/(e*x+2)^(9/2)-2/663*(-e^2*x^2+4)^(5/4)*3^(1/4)/e/(e*x+2)^(7/2)-2/3315*3^(1/4)*(-e^2*x^2+4)^(5/4)/e/(e*x+2)^(5/2),1],
[(e*x+2)^(5/2)/(-3*e^2*x^2+12)^(1/4),x,14,-5/2*3^(3/4)*(-e^2*x^2+4)^(3/4)/e/sqrt(e*x+2)-1/2*3^(3/4)*sqrt(e*x+2)*(-e^2*x^2+4)^(3/4)/e-1/9*(e*x+2)^(3/2)*(-e^2*x^2+4)^(3/4)*3^(3/4)/e-5*3^(3/4)*arctan(1-sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))/sqrt(2)/e+5*3^(3/4)*arctan(1+sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))/sqrt(2)/e+5*3^(3/4)*arctanh(sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4)/(1+sqrt(e*x+2)/sqrt(-e*x+2)))/sqrt(2)/e,1],
[(e*x+2)^(3/2)/(-3*e^2*x^2+12)^(1/4),x,13,-5/6*3^(3/4)*(-e^2*x^2+4)^(3/4)/e/sqrt(e*x+2)-1/6*3^(3/4)*sqrt(e*x+2)*(-e^2*x^2+4)^(3/4)/e-5/3*3^(3/4)*arctan(1-sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))/sqrt(2)/e+5/3*3^(3/4)*arctan(1+sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4))/sqrt(2)/e+5/3*3^(3/4)*arctanh(sqrt(2)*(e*x+2)^(1/4)/(-e*x+2)^(1/4)/(1+sqrt(e*x+2)/sqrt(-e*x+2)))/sqrt(2)/e,1],
[sqrt(e*x+2)/(-3*e^2*x^2+12)^(1/4),x,12,-1/3*3^(3/4)*(-e^2*x^2+4)^(3/4)/e/sqrt(e*x+2)-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],
[1/sqrt(e*x+2)/(-3*e^2*x^2+12)^(1/4),x,11,-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],
[1/(e*x+2)^(3/2)/(-3*e^2*x^2+12)^(1/4),x,1,-1/9*(-e^2*x^2+4)^(3/4)*3^(3/4)/e/(e*x+2)^(3/2),1],
[1/(e*x+2)^(5/2)/(-3*e^2*x^2+12)^(1/4),x,2,-1/21*(-e^2*x^2+4)^(3/4)*3^(3/4)/e/(e*x+2)^(5/2)-1/63*(-e^2*x^2+4)^(3/4)*3^(3/4)/e/(e*x+2)^(3/2),1],
[1/(e*x+2)^(7/2)/(-3*e^2*x^2+12)^(1/4),x,3,-1/33*(-e^2*x^2+4)^(3/4)*3^(3/4)/e/(e*x+2)^(7/2)-2/231*(-e^2*x^2+4)^(3/4)*3^(3/4)/e/(e*x+2)^(5/2)-2/693*(-e^2*x^2+4)^(3/4)*3^(3/4)/e/(e*x+2)^(3/2),1],
[1/(e*x+2)^(9/2)/(-3*e^2*x^2+12)^(1/4),x,4,-1/45*(-e^2*x^2+4)^(3/4)*3^(3/4)/e/(e*x+2)^(9/2)-1/165*(-e^2*x^2+4)^(3/4)*3^(3/4)/e/(e*x+2)^(7/2)-2/1155*(-e^2*x^2+4)^(3/4)*3^(3/4)/e/(e*x+2)^(5/2)-2/3465*(-e^2*x^2+4)^(3/4)*3^(3/4)/e/(e*x+2)^(3/2),1],
[(d*x+c)^3*(-d^2*x^2+c^2)^(2/5),x,1,5/22*(-d^2*x^2+c^2)^(22/5)*hypergeom([-2/5, 22/5],[27/5],1/2*(d*x+c)/c)*2^(2/5)/c^4/d/((-d*x+c)/c)^(22/5),1],
[(d*x+c)^2*(-d^2*x^2+c^2)^(2/5),x,1,5/17*2^(2/5)*(-d^2*x^2+c^2)^(17/5)*hypergeom([-2/5, 17/5],[22/5],1/2*(d*x+c)/c)/c^3/d/((-d*x+c)/c)^(17/5),1],
[(d*x+c)*(-d^2*x^2+c^2)^(2/5),x,1,5/12*(-d^2*x^2+c^2)^(12/5)*hypergeom([-2/5, 12/5],[17/5],1/2*(d*x+c)/c)*2^(2/5)/c^2/d/((-d*x+c)/c)^(12/5),1],
[(-d^2*x^2+c^2)^(2/5),x,2,x*(-d^2*x^2+c^2)^(2/5)*hypergeom([-2/5, 1/2],[3/2],d^2*x^2/c^2)/(1-d^2*x^2/c^2)^(2/5),1],
[(-d^2*x^2+c^2)^(2/5)/(d*x+c),x,1,5/2*(-d^2*x^2+c^2)^(2/5)*hypergeom([-2/5, 2/5],[7/5],1/2*(d*x+c)/c)*2^(2/5)/d/((-d*x+c)/c)^(2/5),1],
[(-d^2*x^2+c^2)^(2/5)/(d*x+c)^2,x,1,-5/3*2^(2/5)*c*((-d*x+c)/c)^(3/5)*hypergeom([-3/5, -2/5],[2/5],1/2*(d*x+c)/c)/d/(-d^2*x^2+c^2)^(3/5),1],
[(-d^2*x^2+c^2)^(2/5)/(d*x+c)^3,x,1,-5/8*c^2*((-d*x+c)/c)^(8/5)*hypergeom([-8/5, -2/5],[-3/5],1/2*(d*x+c)/c)*2^(2/5)/d/(-d^2*x^2+c^2)^(8/5),1],
[(-d*x+c)^3/(-d^2*x^2+c^2)^(13/5),x,1,-5/56*(-d^2*x^2+c^2)^(7/5)*hypergeom([7/5, 13/5],[12/5],1/2*(-d*x+c)/c)*2^(2/5)/c^4/d/((d*x+c)/c)^(7/5),1],
[(-d*x+c)/(-d^2*x^2+c^2)^(5/6),x,3,3*(-d^2*x^2+c^2)^(1/6)/d-1/2*3^(3/4)*c^(1/3)*(-d^2*x^2+c^2)^(1/6)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/(c^(2/3)-(1+sqrt(3))*(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arccos((c^(2/3)-(1-sqrt(3))*(-d^2*x^2+c^2)^(1/3))/(c^(2/3)-(1+sqrt(3))*(-d^2*x^2+c^2)^(1/3))),sqrt(1/2+1/4*sqrt(3)))/d^2/x/sqrt(-(-d^2*x^2+c^2)^(1/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/(c^(2/3)-(1+sqrt(3))*(-d^2*x^2+c^2)^(1/3))^2),1],
[(-d^2*x^2+c^2)^(1/6)/(d*x+c),x,3,3*(-d^2*x^2+c^2)^(1/6)/d-1/2*3^(3/4)*c^(1/3)*(-d^2*x^2+c^2)^(1/6)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))*sqrt((c^(4/3)+c^(2/3)*(-d^2*x^2+c^2)^(1/3)+(-d^2*x^2+c^2)^(2/3))/(c^(2/3)-(1+sqrt(3))*(-d^2*x^2+c^2)^(1/3))^2)*InverseJacobiAM(arccos((c^(2/3)-(1-sqrt(3))*(-d^2*x^2+c^2)^(1/3))/(c^(2/3)-(1+sqrt(3))*(-d^2*x^2+c^2)^(1/3))),sqrt(1/2+1/4*sqrt(3)))/d^2/x/sqrt(-(-d^2*x^2+c^2)^(1/3)*(c^(2/3)-(-d^2*x^2+c^2)^(1/3))/(c^(2/3)-(1+sqrt(3))*(-d^2*x^2+c^2)^(1/3))^2),1],
[(d*x+c)*(-d^2*x^2+c^2)^(5/8),x,1,8/21*2^(5/8)*(-d^2*x^2+c^2)^(21/8)*hypergeom([-5/8, 21/8],[29/8],1/2*(d*x+c)/c)/c^2/d/((-d*x+c)/c)^(21/8),1],
[(d*x+c)*(-d^2*x^2+c^2)^(3/8),x,1,8/19*2^(3/8)*(-d^2*x^2+c^2)^(19/8)*hypergeom([-3/8, 19/8],[27/8],1/2*(d*x+c)/c)/c^2/d/((-d*x+c)/c)^(19/8),1],
[(d*x+c)*(-d^2*x^2+c^2)^(1/8),x,1,8/17*2^(1/8)*(-d^2*x^2+c^2)^(17/8)*hypergeom([-1/8, 17/8],[25/8],1/2*(d*x+c)/c)/c^2/d/((-d*x+c)/c)^(17/8),1],
[(d*x+c)/(-d^2*x^2+c^2)^(1/8),x,1,4/15*2^(7/8)*(-d^2*x^2+c^2)^(15/8)*hypergeom([1/8, 15/8],[23/8],1/2*(d*x+c)/c)/c^2/d/((-d*x+c)/c)^(15/8),1],
[(d*x+c)/(-d^2*x^2+c^2)^(3/8),x,1,4/13*2^(5/8)*(-d^2*x^2+c^2)^(13/8)*hypergeom([3/8, 13/8],[21/8],1/2*(d*x+c)/c)/c^2/d/((-d*x+c)/c)^(13/8),1],
[(-d*x+c)/(-d^2*x^2+c^2)^(7/8),x,1,-4/9*2^(1/8)*(-d^2*x^2+c^2)^(9/8)*hypergeom([7/8, 9/8],[17/8],1/2*(-d*x+c)/c)/c^2/d/((d*x+c)/c)^(9/8),1],
[(-d^2*x^2+c^2)^(1/8)/(d*x+c),x,1,8*2^(1/8)*(-d^2*x^2+c^2)^(1/8)*hypergeom([-1/8, 1/8],[9/8],1/2*(d*x+c)/c)/d/((-d*x+c)/c)^(1/8),1],
[(d*x+c)^n*(-b*d^2*x^2+b*c^2)^3,x,3,8*b^3*c^3*(d*x+c)^(4+n)/d/(4+n)-12*b^3*c^2*(d*x+c)^(5+n)/d/(5+n)+6*b^3*c*(d*x+c)^(6+n)/d/(6+n)-b^3*(d*x+c)^(7+n)/d/(7+n),1],
[(d*x+c)^n*(-b*d^2*x^2+b*c^2)^2,x,3,4*b^2*c^2*(d*x+c)^(3+n)/d/(3+n)-4*b^2*c*(d*x+c)^(4+n)/d/(4+n)+b^2*(d*x+c)^(5+n)/d/(5+n),1],
[(d*x+c)^n*(-b*d^2*x^2+b*c^2),x,3,2*b*c*(d*x+c)^(2+n)/d/(2+n)-b*(d*x+c)^(3+n)/d/(3+n),1],
[(d*x+c)^n/(-b*d^2*x^2+b*c^2),x,2,1/2*(d*x+c)^n*hypergeom([1, n],[1+n],1/2*(d*x+c)/c)/b/c/d/n,1],
[(d*x+c)^n/(-b*d^2*x^2+b*c^2)^2,x,2,-1/4*(d*x+c)^(-1+n)*hypergeom([2, -1+n],[n],1/2*(d*x+c)/c)/b^2/c^2/d/(1-n),1],
[(d*x+c)^n/(-b*d^2*x^2+b*c^2)^3,x,2,-1/8*(d*x+c)^(-2+n)*hypergeom([3, -2+n],[-1+n],1/2*(d*x+c)/c)/b^3/c^3/d/(2-n),1],
[(d*x+c)^n*(-d^2*x^2+c^2)^(3/2),x,2,-1/5*2^(5/2+n)*(d*x+c)^n*(1+d*x/c)^(-5/2-n)*(-d^2*x^2+c^2)^(5/2)*hypergeom([5/2, -3/2-n],[7/2],1/2*(-d*x+c)/c)/c/d,1],
[(d*x+c)^n*sqrt(-d^2*x^2+c^2),x,2,-1/3*2^(3/2+n)*(d*x+c)^n*(1+d*x/c)^(-3/2-n)*(-d^2*x^2+c^2)^(3/2)*hypergeom([3/2, -1/2-n],[5/2],1/2*(-d*x+c)/c)/c/d,1],
[(d*x+c)^n/sqrt(-d^2*x^2+c^2),x,2,-2^(1/2+n)*(d*x+c)^n*(1+d*x/c)^(-1/2-n)*sqrt(-d^2*x^2+c^2)*hypergeom([1/2, 1/2-n],[3/2],1/2*(-d*x+c)/c)/c/d,1],
[(d*x+c)^n/(-d^2*x^2+c^2)^(3/2),x,2,2^(-1/2+n)*(d*x+c)^n*(1+d*x/c)^(1/2-n)*hypergeom([-1/2, 3/2-n],[1/2],1/2*(-d*x+c)/c)/c/d/sqrt(-d^2*x^2+c^2),1],
[(d*x+c)^n/(-d^2*x^2+c^2)^(5/2),x,2,1/3*2^(-3/2+n)*(d*x+c)^n*(1+d*x/c)^(3/2-n)*hypergeom([-3/2, 5/2-n],[-1/2],1/2*(-d*x+c)/c)/c/d/(-d^2*x^2+c^2)^(3/2),1],
[(d*x+c)^n/(-d^2*x^2+c^2)^(7/2),x,2,1/5*2^(-5/2+n)*(d*x+c)^n*(1+d*x/c)^(5/2-n)*hypergeom([-5/2, 7/2-n],[-3/2],1/2*(-d*x+c)/c)/c/d/(-d^2*x^2+c^2)^(5/2),1],
[(d*x+c)^2*(1-d^2*x^2/c^2)^p,x,1,2^p*c^3*((d*x+c)/c)^(3+p)*hypergeom([-p, 3+p],[4+p],1/2*(d*x+c)/c)/d/(3+p),1],
[(d*x+c)*(1-d^2*x^2/c^2)^p,x,1,2^p*c^2*((d*x+c)/c)^(2+p)*hypergeom([-p, 2+p],[3+p],1/2*(d*x+c)/c)/d/(2+p),1],
[(1-d^2*x^2/c^2)^p,x,1,x*hypergeom([1/2, -p],[3/2],d^2*x^2/c^2),1],
[(1-d^2*x^2/c^2)^p/(d*x+c),x,1,2^p*((d*x+c)/c)^p*hypergeom([-p, p],[p+1],1/2*(d*x+c)/c)/d/p,1],
[(1-d^2*x^2/c^2)^p/(d*x+c)^2,x,1,-2^p*((d*x+c)/c)^(-1+p)*hypergeom([-1+p, -p],[p],1/2*(d*x+c)/c)/c/d/(1-p),1],
[(1-d^2*x^2/c^2)^p/(d*x+c)^3,x,1,-2^p*((d*x+c)/c)^(-2+p)*hypergeom([-2+p, -p],[-1+p],1/2*(d*x+c)/c)/c^2/d/(2-p),1],
[(d*x+c)^2*(-d^2*x^2+c^2)^p,x,1,2^p*((-d*x+c)/c)^(-3-p)*(-d^2*x^2+c^2)^(3+p)*hypergeom([-p, 3+p],[4+p],1/2*(d*x+c)/c)/c^3/d/(3+p),1],
[(d*x+c)*(-d^2*x^2+c^2)^p,x,1,2^p*((-d*x+c)/c)^(-2-p)*(-d^2*x^2+c^2)^(2+p)*hypergeom([-p, 2+p],[3+p],1/2*(d*x+c)/c)/c^2/d/(2+p),1],
[(-d^2*x^2+c^2)^p,x,2,-2^p*((d*x+c)/c)^(-1-p)*(-d^2*x^2+c^2)^(p+1)*hypergeom([-p, p+1],[2+p],1/2*(-d*x+c)/c)/c/d/(p+1),1],
[(-d^2*x^2+c^2)^p/(d*x+c),x,1,2^p*(-d^2*x^2+c^2)^p*hypergeom([-p, p],[p+1],1/2*(d*x+c)/c)/d/p/(((-d*x+c)/c)^p),1],
[(-d^2*x^2+c^2)^p/(d*x+c)^2,x,1,-2^p*c*((-d*x+c)/c)^(1-p)*(-d^2*x^2+c^2)^(-1+p)*hypergeom([-1+p, -p],[p],1/2*(d*x+c)/c)/d/(1-p),1],
[(-d^2*x^2+c^2)^p/(d*x+c)^3,x,1,-2^p*c^2*((-d*x+c)/c)^(2-p)*(-d^2*x^2+c^2)^(-2+p)*hypergeom([-2+p, -p],[-1+p],1/2*(d*x+c)/c)/d/(2-p),1],
[d*x*(-d^2*x^2+c^2)^p,x,2,-1/2*(-d^2*x^2+c^2)^(p+1)/d/(p+1),1],
[-c*(-d^2*x^2+c^2)^p+(d*x+c)*(-d^2*x^2+c^2)^p,x,-4,-1/2*(-d^2*x^2+c^2)^(p+1)/d/(p+1),1],
[(d*x+c)^(3/2)*(1-d^2*x^2/c^2)^p,x,2,2^(p+1)*c^2*sqrt(d*x+c)*(1+d*x/c)^(2+p)*hypergeom([-p, 5/2+p],[7/2+p],1/2*(d*x+c)/c)/d/(5+2*p),1],
[(d*x+c)^(3/2)*(1-d^2*x^2/c^2)^p,x,2,2^(p+1)*c^2*sqrt(d*x+c)*(1+d*x/c)^(2+p)*hypergeom([-p, 5/2+p],[7/2+p],1/2*(d*x+c)/c)/d/(5+2*p),1],
[(1-d^2*x^2/c^2)^p/sqrt(d*x+c),x,2,2^(p+1)*c*(1+d*x/c)^(p+1)*hypergeom([-p, 1/2+p],[3/2+p],1/2*(d*x+c)/c)/d/(1+2*p)/sqrt(d*x+c),1],
[(1-d^2*x^2/c^2)^p/(d*x+c)^(3/2),x,2,-2^(p+1)*(1+d*x/c)^p*hypergeom([-1/2+p, -p],[1/2+p],1/2*(d*x+c)/c)/d/(1-2*p)/sqrt(d*x+c),1],
[(d*x+c)^(3/2)*(-d^2*x^2+c^2)^p,x,2,-2^(3/2+p)*sqrt(d*x+c)*(1+d*x/c)^(-3/2-p)*(-d^2*x^2+c^2)^(p+1)*hypergeom([-3/2-p, p+1],[2+p],1/2*(-d*x+c)/c)/d/(p+1),1],
[sqrt(d*x+c)*(-d^2*x^2+c^2)^p,x,2,-2^(1/2+p)*sqrt(d*x+c)*(1+d*x/c)^(-3/2-p)*(-d^2*x^2+c^2)^(p+1)*hypergeom([-1/2-p, p+1],[2+p],1/2*(-d*x+c)/c)/c/d/(p+1),1],
[(-d^2*x^2+c^2)^p/sqrt(d*x+c),x,2,-2^(-1/2+p)*(1+d*x/c)^(-1/2-p)*(-d^2*x^2+c^2)^(p+1)*hypergeom([1/2-p, p+1],[2+p],1/2*(-d*x+c)/c)/c/d/(p+1)/sqrt(d*x+c),1],
[(-d^2*x^2+c^2)^p/(d*x+c)^(3/2),x,2,-2^(-3/2+p)*(1+d*x/c)^(-1/2-p)*(-d^2*x^2+c^2)^(p+1)*hypergeom([3/2-p, p+1],[2+p],1/2*(-d*x+c)/c)/c^2/d/(p+1)/sqrt(d*x+c),1],
[(d*x+c)^n*(-d^2*x^2+c^2)^p,x,2,-2^(n+p)*(d*x+c)^n*(1+d*x/c)^(-1-n-p)*(-d^2*x^2+c^2)^(p+1)*hypergeom([-n-p, p+1],[2+p],1/2*(-d*x+c)/c)/c/d/(p+1),1],
[(-d*x+c)^n*(-d^2*x^2+c^2)^p,x,2,2^(n+p)*(-d*x+c)^n*(1-d*x/c)^(-1-n-p)*(-d^2*x^2+c^2)^(p+1)*hypergeom([-n-p, p+1],[2+p],1/2*(d*x+c)/c)/c/d/(p+1),1],
[(d*x+1)^(3-p)*(-d^2*x^2+1)^p,x,3,-8*(-d*x+1)^(p+1)/d/(p+1)+12*(-d*x+1)^(2+p)/d/(2+p)-6*(-d*x+1)^(3+p)/d/(3+p)+(-d*x+1)^(4+p)/d/(4+p),1],
[(d*x+1)^(2-p)*(-d^2*x^2+1)^p,x,3,-4*(-d*x+1)^(p+1)/d/(p+1)+4*(-d*x+1)^(2+p)/d/(2+p)-(-d*x+1)^(3+p)/d/(3+p),1],
[(d*x+1)^(1-p)*(-d^2*x^2+1)^p,x,3,-2*(-d*x+1)^(p+1)/d/(p+1)+(-d*x+1)^(2+p)/d/(2+p),1],
[(-d^2*x^2+1)^p/((d*x+1)^p),x,2,-(-d*x+1)^(p+1)/d/(p+1),1],
[(d*x+1)^(-1-p)*(-d^2*x^2+1)^p,x,2,-1/2*(-d*x+1)^(p+1)*hypergeom([1, p+1],[2+p],-1/2*d*x+1/2)/d/(p+1),1],
[(d*x+1)^(-2-p)*(-d^2*x^2+1)^p,x,2,-1/4*(-d*x+1)^(p+1)*hypergeom([2, p+1],[2+p],-1/2*d*x+1/2)/d/(p+1),1],
[(d*x+1)^(-3-p)*(-d^2*x^2+1)^p,x,2,-1/8*(-d*x+1)^(p+1)*hypergeom([3, p+1],[2+p],-1/2*d*x+1/2)/d/(p+1),1],
[(e*x+d)^(-5-2*p)*(-e^2*x^2+d^2)^p,x,4,-1/2*(e*x+d)^(-5-2*p)*(-e^2*x^2+d^2)^(p+1)/d/e/(4+p)-3/4*(e*x+d)^(-3-2*p)*(-e^2*x^2+d^2)^(p+1)/d^3/e/(2+p)/(3+p)/(4+p)-3/8*(-e^2*x^2+d^2)^(p+1)/d^4/e/(p+1)/(2+p)/(3+p)/(4+p)/((e*x+d)^(2*p+2))-3/4*(-e^2*x^2+d^2)^(p+1)/d^2/e/(3+p)/(4+p)/((e*x+d)^(4+2*p)),1],
[(e*x+d)^(-4-2*p)*(-e^2*x^2+d^2)^p,x,3,-1/2*(e*x+d)^(-3-2*p)*(-e^2*x^2+d^2)^(p+1)/d^2/e/(2+p)/(3+p)-1/4*(-e^2*x^2+d^2)^(p+1)/d^3/e/(p+1)/(2+p)/(3+p)/((e*x+d)^(2*p+2))-1/2*(-e^2*x^2+d^2)^(p+1)/d/e/(3+p)/((e*x+d)^(4+2*p)),1],
[(e*x+d)^(-3-2*p)*(-e^2*x^2+d^2)^p,x,2,-1/2*(e*x+d)^(-3-2*p)*(-e^2*x^2+d^2)^(p+1)/d/e/(2+p)-1/4*(-e^2*x^2+d^2)^(p+1)/d^2/e/(p+1)/(2+p)/((e*x+d)^(2*p+2)),1],
[(e*x+d)^(-2-2*p)*(-e^2*x^2+d^2)^p,x,1,-1/2*(-e^2*x^2+d^2)^(p+1)/d/e/(p+1)/((e*x+d)^(2*p+2)),1],
[(e*x+d)^(-1-2*p)*(-e^2*x^2+d^2)^p,x,2,-2^(-1-p)*(1+e*x/d)^(-1+p)*(-e^2*x^2+d^2)^(p+1)*hypergeom([p+1, p+1],[2+p],1/2*(-e*x+d)/d)/d^2/e/(p+1)/((e*x+d)^(2*p)),1],
[(-e^2*x^2+d^2)^p/((e*x+d)^(2*p)),x,2,-(1+e*x/d)^(-1+p)*(-e^2*x^2+d^2)^(p+1)*hypergeom([p, p+1],[2+p],1/2*(-e*x+d)/d)/(2^p)/d/e/(p+1)/((e*x+d)^(2*p)),1],
[(e*x+d)^(1-2*p)*(-e^2*x^2+d^2)^p,x,2,-2^(1-p)*(1+e*x/d)^(-1+p)*(-e^2*x^2+d^2)^(p+1)*hypergeom([-1+p, p+1],[2+p],1/2*(-e*x+d)/d)/e/(p+1)/((e*x+d)^(2*p)),1],
[(e*x+2)^q*(-e^2*x^2+4)^p,x,1,4^p*(e*x+2)^(1+p+q)*hypergeom([-p, 1+p+q],[2+p+q],1/4*e*x+1/2)/e/(1+p+q),1],
[(-e^2*x^2+4)^(p+q)/((-e*x+2)^q),x,1,-4^(p+q)*(-e*x+2)^(p+1)*hypergeom([p+1, -p-q],[2+p],-1/4*e*x+1/2)/e/(p+1),1],
[(-e*x+2)^p*(e*x+2)^(p+q),x,1,4^p*(e*x+2)^(1+p+q)*hypergeom([-p, 1+p+q],[2+p+q],1/4*e*x+1/2)/e/(1+p+q),1],
[(-3*b*x+6)^3*(-3*b^2*x^2+12)^p,x,1,-1/3*4^p*(-3*b*x+6)^(4+p)*hypergeom([-p, 4+p],[5+p],-1/4*b*x+1/2)/b/(4+p),1],
[(-3*b^2*x^2+12)^(3+p)/(b*x+2)^3,x,1,12^(3+p)*(b*x+2)^(p+1)*hypergeom([-3-p, p+1],[2+p],1/4*b*x+1/2)/b/(p+1),1],
[(-3*b*x+6)^(3+p)*(b*x+2)^p,x,1,12^(3+p)*(b*x+2)^(p+1)*hypergeom([-3-p, p+1],[2+p],1/4*b*x+1/2)/b/(p+1),1]]: