lst:=[[(2*c*d*x+b*d)^4*(c*x^2+b*x+a),x,2,-1/40*(-4*a*c+b^2)*d^4*(2*c*x+b)^5/c^2+1/56*d^4*(2*c*x+b)^7/c^2,1],
[(2*c*d*x+b*d)^3*(c*x^2+b*x+a),x,2,-1/32*(-4*a*c+b^2)*d^3*(2*c*x+b)^4/c^2+1/48*d^3*(2*c*x+b)^6/c^2,1],
[(2*c*d*x+b*d)^2*(c*x^2+b*x+a),x,2,-1/24*(-4*a*c+b^2)*d^2*(2*c*x+b)^3/c^2+1/40*d^2*(2*c*x+b)^5/c^2,1],
[(2*c*d*x+b*d)*(c*x^2+b*x+a),x,1,1/2*d*(c*x^2+b*x+a)^2,1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d),x,2,1/4*b*x/c/d+1/4*x^2/d-1/8*(-4*a*c+b^2)*ln(2*c*x+b)/c^2/d,1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^2,x,2,1/4*x/c/d^2+1/8*(-4*a*c+b^2)/c^2/d^2/(2*c*x+b),1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^3,x,2,1/16*(-4*a*c+b^2)/c^2/d^3/(2*c*x+b)^2+1/8*ln(2*c*x+b)/c^2/d^3,1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^4,x,2,1/24*(-4*a*c+b^2)/c^2/d^4/(2*c*x+b)^3-1/8/c^2/d^4/(2*c*x+b),1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^5,x,1,1/2*(c*x^2+b*x+a)^2/(-4*a*c+b^2)/d^5/(2*c*x+b)^4,1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^6,x,2,1/40*(-4*a*c+b^2)/c^2/d^6/(2*c*x+b)^5-1/24/c^2/d^6/(2*c*x+b)^3,1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^7,x,2,1/48*(-4*a*c+b^2)/c^2/d^7/(2*c*x+b)^6-1/32/c^2/d^7/(2*c*x+b)^4,1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^8,x,2,1/56*(-4*a*c+b^2)/c^2/d^8/(2*c*x+b)^7-1/40/c^2/d^8/(2*c*x+b)^5,1],
[(2*c*d*x+b*d)^5*(c*x^2+b*x+a)^2,x,2,1/192*(-4*a*c+b^2)^2*d^5*(2*c*x+b)^6/c^3-1/128*(-4*a*c+b^2)*d^5*(2*c*x+b)^8/c^3+1/320*d^5*(2*c*x+b)^10/c^3,1],
[(2*c*d*x+b*d)^4*(c*x^2+b*x+a)^2,x,2,1/160*(-4*a*c+b^2)^2*d^4*(2*c*x+b)^5/c^3-1/112*(-4*a*c+b^2)*d^4*(2*c*x+b)^7/c^3+1/288*d^4*(2*c*x+b)^9/c^3,1],
[(2*c*d*x+b*d)^3*(c*x^2+b*x+a)^2,x,2,1/12*(-4*a*c+b^2)*d^3*(c*x^2+b*x+a)^3+1/4*d^3*(2*c*x+b)^2*(c*x^2+b*x+a)^3,1],
[(2*c*d*x+b*d)^2*(c*x^2+b*x+a)^2,x,2,1/96*(-4*a*c+b^2)^2*d^2*(2*c*x+b)^3/c^3-1/80*(-4*a*c+b^2)*d^2*(2*c*x+b)^5/c^3+1/224*d^2*(2*c*x+b)^7/c^3,1],
[(2*c*d*x+b*d)*(c*x^2+b*x+a)^2,x,1,1/3*d*(c*x^2+b*x+a)^3,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d),x,2,-1/32*(-4*a*c+b^2)*(2*c*x+b)^2/c^3/d+1/128*(2*c*x+b)^4/c^3/d+1/32*(-4*a*c+b^2)^2*ln(2*c*x+b)/c^3/d,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^2,x,2,-1/16*(-8*a*c+b^2)*x/c^2/d^2+1/8*b*x^2/c/d^2+1/12*x^3/d^2-1/32*(-4*a*c+b^2)^2/c^3/d^2/(2*c*x+b),1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^3,x,2,1/16*b*x/c^2/d^3+1/16*x^2/c/d^3-1/64*(-4*a*c+b^2)^2/c^3/d^3/(2*c*x+b)^2-1/16*(-4*a*c+b^2)*ln(2*c*x+b)/c^3/d^3,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^4,x,2,1/16*x/c^2/d^4-1/96*(-4*a*c+b^2)^2/c^3/d^4/(2*c*x+b)^3+1/16*(-4*a*c+b^2)/c^3/d^4/(2*c*x+b),1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^5,x,2,-1/128*(-4*a*c+b^2)^2/c^3/d^5/(2*c*x+b)^4+1/32*(-4*a*c+b^2)/c^3/d^5/(2*c*x+b)^2+1/32*ln(2*c*x+b)/c^3/d^5,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^6,x,2,-1/160*(-4*a*c+b^2)^2/c^3/d^6/(2*c*x+b)^5+1/48*(-4*a*c+b^2)/c^3/d^6/(2*c*x+b)^3-1/32/c^3/d^6/(2*c*x+b),1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^7,x,1,1/3*(c*x^2+b*x+a)^3/(-4*a*c+b^2)/d^7/(2*c*x+b)^6,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^8,x,2,-1/224*(-4*a*c+b^2)^2/c^3/d^8/(2*c*x+b)^7+1/80*(-4*a*c+b^2)/c^3/d^8/(2*c*x+b)^5-1/96/c^3/d^8/(2*c*x+b)^3,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^9,x,2,-1/256*(-4*a*c+b^2)^2/c^3/d^9/(2*c*x+b)^8+1/96*(-4*a*c+b^2)/c^3/d^9/(2*c*x+b)^6-1/128/c^3/d^9/(2*c*x+b)^4,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^10,x,2,-1/288*(-4*a*c+b^2)^2/c^3/d^10/(2*c*x+b)^9+1/112*(-4*a*c+b^2)/c^3/d^10/(2*c*x+b)^7-1/160/c^3/d^10/(2*c*x+b)^5,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^11,x,2,-1/320*(-4*a*c+b^2)^2/c^3/d^11/(2*c*x+b)^10+1/128*(-4*a*c+b^2)/c^3/d^11/(2*c*x+b)^8-1/192/c^3/d^11/(2*c*x+b)^6,1],
[(2*c*d*x+b*d)^5*(c*x^2+b*x+a)^3,x,2,-1/768*(-4*a*c+b^2)^3*d^5*(2*c*x+b)^6/c^4+3/1024*(-4*a*c+b^2)^2*d^5*(2*c*x+b)^8/c^4-3/1280*(-4*a*c+b^2)*d^5*(2*c*x+b)^10/c^4+1/1536*d^5*(2*c*x+b)^12/c^4,1],
[(2*c*d*x+b*d)^4*(c*x^2+b*x+a)^3,x,2,-1/640*(-4*a*c+b^2)^3*d^4*(2*c*x+b)^5/c^4+3/896*(-4*a*c+b^2)^2*d^4*(2*c*x+b)^7/c^4-1/384*(-4*a*c+b^2)*d^4*(2*c*x+b)^9/c^4+1/1408*d^4*(2*c*x+b)^11/c^4,1],
[(2*c*d*x+b*d)^3*(c*x^2+b*x+a)^3,x,2,1/20*(-4*a*c+b^2)*d^3*(c*x^2+b*x+a)^4+1/5*d^3*(2*c*x+b)^2*(c*x^2+b*x+a)^4,1],
[(2*c*d*x+b*d)^2*(c*x^2+b*x+a)^3,x,2,-1/384*(-4*a*c+b^2)^3*d^2*(2*c*x+b)^3/c^4+3/640*(-4*a*c+b^2)^2*d^2*(2*c*x+b)^5/c^4-3/896*(-4*a*c+b^2)*d^2*(2*c*x+b)^7/c^4+1/1152*d^2*(2*c*x+b)^9/c^4,1],
[(2*c*d*x+b*d)*(c*x^2+b*x+a)^3,x,1,1/4*d*(c*x^2+b*x+a)^4,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d),x,2,3/256*(-4*a*c+b^2)^2*(2*c*x+b)^2/c^4/d-3/512*(-4*a*c+b^2)*(2*c*x+b)^4/c^4/d+1/768*(2*c*x+b)^6/c^4/d-1/128*(-4*a*c+b^2)^3*ln(2*c*x+b)/c^4/d,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^2,x,2,3/64*(-4*a*c+b^2)^2*x/c^3/d^2+1/128*(-4*a*c+b^2)^3/c^4/d^2/(2*c*x+b)-1/128*(-4*a*c+b^2)*(2*c*x+b)^3/c^4/d^2+1/640*(2*c*x+b)^5/c^4/d^2,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^3,x,2,1/256*(-4*a*c+b^2)^3/c^4/d^3/(2*c*x+b)^2-3/256*(-4*a*c+b^2)*(2*c*x+b)^2/c^4/d^3+1/512*(2*c*x+b)^4/c^4/d^3+3/128*(-4*a*c+b^2)^2*ln(2*c*x+b)/c^4/d^3,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^4,x,2,-1/32*(-6*a*c+b^2)*x/c^3/d^4+1/32*b*x^2/c^2/d^4+1/48*x^3/c/d^4+1/384*(-4*a*c+b^2)^3/c^4/d^4/(2*c*x+b)^3-3/128*(-4*a*c+b^2)^2/c^4/d^4/(2*c*x+b),1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^5,x,2,1/64*b*x/c^3/d^5+1/64*x^2/c^2/d^5+1/512*(-4*a*c+b^2)^3/c^4/d^5/(2*c*x+b)^4-3/256*(-4*a*c+b^2)^2/c^4/d^5/(2*c*x+b)^2-3/128*(-4*a*c+b^2)*ln(2*c*x+b)/c^4/d^5,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^6,x,2,1/64*x/c^3/d^6+1/640*(-4*a*c+b^2)^3/c^4/d^6/(2*c*x+b)^5-1/128*(-4*a*c+b^2)^2/c^4/d^6/(2*c*x+b)^3+3/128*(-4*a*c+b^2)/c^4/d^6/(2*c*x+b),1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^7,x,2,1/768*(-4*a*c+b^2)^3/c^4/d^7/(2*c*x+b)^6-3/512*(-4*a*c+b^2)^2/c^4/d^7/(2*c*x+b)^4+3/256*(-4*a*c+b^2)/c^4/d^7/(2*c*x+b)^2+1/128*ln(2*c*x+b)/c^4/d^7,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^8,x,2,1/896*(-4*a*c+b^2)^3/c^4/d^8/(2*c*x+b)^7-3/640*(-4*a*c+b^2)^2/c^4/d^8/(2*c*x+b)^5+1/128*(-4*a*c+b^2)/c^4/d^8/(2*c*x+b)^3-1/128/c^4/d^8/(2*c*x+b),1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^9,x,1,1/4*(c*x^2+b*x+a)^4/(-4*a*c+b^2)/d^9/(2*c*x+b)^8,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^10,x,2,1/1152*(-4*a*c+b^2)^3/c^4/d^10/(2*c*x+b)^9-3/896*(-4*a*c+b^2)^2/c^4/d^10/(2*c*x+b)^7+3/640*(-4*a*c+b^2)/c^4/d^10/(2*c*x+b)^5-1/384/c^4/d^10/(2*c*x+b)^3,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^11,x,2,1/1280*(-4*a*c+b^2)^3/c^4/d^11/(2*c*x+b)^10-3/1024*(-4*a*c+b^2)^2/c^4/d^11/(2*c*x+b)^8+1/256*(-4*a*c+b^2)/c^4/d^11/(2*c*x+b)^6-1/512/c^4/d^11/(2*c*x+b)^4,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^12,x,2,1/1408*(-4*a*c+b^2)^3/c^4/d^12/(2*c*x+b)^11-1/384*(-4*a*c+b^2)^2/c^4/d^12/(2*c*x+b)^9+3/896*(-4*a*c+b^2)/c^4/d^12/(2*c*x+b)^7-1/640/c^4/d^12/(2*c*x+b)^5,1],
[(2*c*d*x+b*d)^8/(c*x^2+b*x+a),x,6,2*(-4*a*c+b^2)^3*d^8*(2*c*x+b)+2/3*(-4*a*c+b^2)^2*d^8*(2*c*x+b)^3+2/5*(-4*a*c+b^2)*d^8*(2*c*x+b)^5+2/7*d^8*(2*c*x+b)^7-2*(-4*a*c+b^2)^(7/2)*d^8*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2)),1],
[(2*c*d*x+b*d)^7/(c*x^2+b*x+a),x,4,(-4*a*c+b^2)^2*d^7*(2*c*x+b)^2+1/2*(-4*a*c+b^2)*d^7*(2*c*x+b)^4+1/3*d^7*(2*c*x+b)^6+(-4*a*c+b^2)^3*d^7*ln(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^6/(c*x^2+b*x+a),x,5,2*(-4*a*c+b^2)^2*d^6*(2*c*x+b)+2/3*(-4*a*c+b^2)*d^6*(2*c*x+b)^3+2/5*d^6*(2*c*x+b)^5-2*(-4*a*c+b^2)^(5/2)*d^6*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2)),1],
[(2*c*d*x+b*d)^5/(c*x^2+b*x+a),x,3,(-4*a*c+b^2)*d^5*(2*c*x+b)^2+1/2*d^5*(2*c*x+b)^4+(-4*a*c+b^2)^2*d^5*ln(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^4/(c*x^2+b*x+a),x,4,2*(-4*a*c+b^2)*d^4*(2*c*x+b)+2/3*d^4*(2*c*x+b)^3-2*(-4*a*c+b^2)^(3/2)*d^4*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2)),1],
[(2*c*d*x+b*d)^3/(c*x^2+b*x+a),x,2,d^3*(2*c*x+b)^2+(-4*a*c+b^2)*d^3*ln(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^2/(c*x^2+b*x+a),x,3,2*d^2*(2*c*x+b)-2*sqrt(-4*a*c+b^2)*d^2*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2)),1],
[(2*c*d*x+b*d)/(c*x^2+b*x+a),x,1,d*ln(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)/(c*x^2+b*x+a),x,3,-2*ln(2*c*x+b)/(-4*a*c+b^2)/d+ln(c*x^2+b*x+a)/(-4*a*c+b^2)/d,1],
[1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a),x,3,2/(-4*a*c+b^2)/d^2/(2*c*x+b)-2*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/d^2,1],
[1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a),x,4,1/(-4*a*c+b^2)/d^3/(2*c*x+b)^2-2*ln(2*c*x+b)/(-4*a*c+b^2)^2/d^3+ln(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d^3,1],
[1/(2*c*d*x+b*d)^4/(c*x^2+b*x+a),x,4,2/3/(-4*a*c+b^2)/d^4/(2*c*x+b)^3+2/(-4*a*c+b^2)^2/d^4/(2*c*x+b)-2*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2)/d^4,1],
[(2*c*d*x+b*d)^8/(c*x^2+b*x+a)^2,x,6,28*c*(-4*a*c+b^2)^2*d^8*(2*c*x+b)+28/3*c*(-4*a*c+b^2)*d^8*(2*c*x+b)^3+28/5*c*d^8*(2*c*x+b)^5-d^8*(2*c*x+b)^7/(c*x^2+b*x+a)-28*c*(-4*a*c+b^2)^(5/2)*d^8*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2)),1],
[(2*c*d*x+b*d)^7/(c*x^2+b*x+a)^2,x,4,12*c*(-4*a*c+b^2)*d^7*(2*c*x+b)^2+6*c*d^7*(2*c*x+b)^4-d^7*(2*c*x+b)^6/(c*x^2+b*x+a)+12*c*(-4*a*c+b^2)^2*d^7*ln(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^6/(c*x^2+b*x+a)^2,x,5,20*c*(-4*a*c+b^2)*d^6*(2*c*x+b)+20/3*c*d^6*(2*c*x+b)^3-d^6*(2*c*x+b)^5/(c*x^2+b*x+a)-20*c*(-4*a*c+b^2)^(3/2)*d^6*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2)),1],
[(2*c*d*x+b*d)^5/(c*x^2+b*x+a)^2,x,3,8*c*d^5*(2*c*x+b)^2-d^5*(2*c*x+b)^4/(c*x^2+b*x+a)+8*c*(-4*a*c+b^2)*d^5*ln(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^2,x,4,12*c*d^4*(2*c*x+b)-d^4*(2*c*x+b)^3/(c*x^2+b*x+a)-12*c*sqrt(-4*a*c+b^2)*d^4*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2)),1],
[(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^2,x,2,-d^3*(2*c*x+b)^2/(c*x^2+b*x+a)+4*c*d^3*ln(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^2,x,3,-d^2*(2*c*x+b)/(c*x^2+b*x+a)-4*c*d^2*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[(2*c*d*x+b*d)/(c*x^2+b*x+a)^2,x,1,-d/(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)/(c*x^2+b*x+a)^2,x,4,-1/(-4*a*c+b^2)/d/(c*x^2+b*x+a)+8*c*ln(2*c*x+b)/(-4*a*c+b^2)^2/d-4*c*ln(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d,1],
[1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^2,x,4,-12*c/(-4*a*c+b^2)^2/d^2/(2*c*x+b)-1/(-4*a*c+b^2)/d^2/(2*c*x+b)/(c*x^2+b*x+a)+12*c*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2)/d^2,1],
[1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^2,x,5,-8*c/(-4*a*c+b^2)^2/d^3/(2*c*x+b)^2-1/(-4*a*c+b^2)/d^3/(2*c*x+b)^2/(c*x^2+b*x+a)+16*c*ln(2*c*x+b)/(-4*a*c+b^2)^3/d^3-8*c*ln(c*x^2+b*x+a)/(-4*a*c+b^2)^3/d^3,1],
[(2*c*d*x+b*d)^10/(c*x^2+b*x+a)^3,x,7,252*c^2*(-4*a*c+b^2)^2*d^10*(2*c*x+b)+84*c^2*(-4*a*c+b^2)*d^10*(2*c*x+b)^3+252/5*c^2*d^10*(2*c*x+b)^5-1/2*d^10*(2*c*x+b)^9/(c*x^2+b*x+a)^2-9*c*d^10*(2*c*x+b)^7/(c*x^2+b*x+a)-252*c^2*(-4*a*c+b^2)^(5/2)*d^10*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2)),1],
[(2*c*d*x+b*d)^9/(c*x^2+b*x+a)^3,x,5,96*c^2*(-4*a*c+b^2)*d^9*(2*c*x+b)^2+48*c^2*d^9*(2*c*x+b)^4-1/2*d^9*(2*c*x+b)^8/(c*x^2+b*x+a)^2-8*c*d^9*(2*c*x+b)^6/(c*x^2+b*x+a)+96*c^2*(-4*a*c+b^2)^2*d^9*ln(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^8/(c*x^2+b*x+a)^3,x,6,140*c^2*(-4*a*c+b^2)*d^8*(2*c*x+b)+140/3*c^2*d^8*(2*c*x+b)^3-1/2*d^8*(2*c*x+b)^7/(c*x^2+b*x+a)^2-7*c*d^8*(2*c*x+b)^5/(c*x^2+b*x+a)-140*c^2*(-4*a*c+b^2)^(3/2)*d^8*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2)),1],
[(2*c*d*x+b*d)^7/(c*x^2+b*x+a)^3,x,4,48*c^2*d^7*(2*c*x+b)^2-1/2*d^7*(2*c*x+b)^6/(c*x^2+b*x+a)^2-6*c*d^7*(2*c*x+b)^4/(c*x^2+b*x+a)+48*c^2*(-4*a*c+b^2)*d^7*ln(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^6/(c*x^2+b*x+a)^3,x,5,60*c^2*d^6*(2*c*x+b)-1/2*d^6*(2*c*x+b)^5/(c*x^2+b*x+a)^2-5*c*d^6*(2*c*x+b)^3/(c*x^2+b*x+a)-60*c^2*sqrt(-4*a*c+b^2)*d^6*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2)),1],
[(2*c*d*x+b*d)^5/(c*x^2+b*x+a)^3,x,3,-1/2*d^5*(2*c*x+b)^4/(c*x^2+b*x+a)^2-4*c*d^5*(2*c*x+b)^2/(c*x^2+b*x+a)+16*c^2*d^5*ln(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^3,x,4,-1/2*d^4*(2*c*x+b)^3/(c*x^2+b*x+a)^2-3*c*d^4*(2*c*x+b)/(c*x^2+b*x+a)-12*c^2*d^4*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^3,x,1,-1/2*d^3*(2*c*x+b)^4/(-4*a*c+b^2)/(c*x^2+b*x+a)^2,1],
[(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^3,x,4,-1/2*d^2*(2*c*x+b)/(c*x^2+b*x+a)^2-c*d^2*(2*c*x+b)/(-4*a*c+b^2)/(c*x^2+b*x+a)+4*c^2*d^2*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(2*c*d*x+b*d)/(c*x^2+b*x+a)^3,x,1,-1/2*d/(c*x^2+b*x+a)^2,1],
[1/(2*c*d*x+b*d)/(c*x^2+b*x+a)^3,x,5,-1/2/(-4*a*c+b^2)/d/(c*x^2+b*x+a)^2+4*c/(-4*a*c+b^2)^2/d/(c*x^2+b*x+a)-32*c^2*ln(2*c*x+b)/(-4*a*c+b^2)^3/d+16*c^2*ln(c*x^2+b*x+a)/(-4*a*c+b^2)^3/d,1],
[1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^3,x,5,60*c^2/(-4*a*c+b^2)^3/d^2/(2*c*x+b)-1/2/(-4*a*c+b^2)/d^2/(2*c*x+b)/(c*x^2+b*x+a)^2+5*c/(-4*a*c+b^2)^2/d^2/(2*c*x+b)/(c*x^2+b*x+a)-60*c^2*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(7/2)/d^2,1],
[1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^3,x,6,48*c^2/(-4*a*c+b^2)^3/d^3/(2*c*x+b)^2-1/2/(-4*a*c+b^2)/d^3/(2*c*x+b)^2/(c*x^2+b*x+a)^2+6*c/(-4*a*c+b^2)^2/d^3/(2*c*x+b)^2/(c*x^2+b*x+a)-96*c^2*ln(2*c*x+b)/(-4*a*c+b^2)^4/d^3+48*c^2*ln(c*x^2+b*x+a)/(-4*a*c+b^2)^4/d^3,1],
[1/(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^3,x,6,140/3*c^2/(-4*a*c+b^2)^3/d^4/(2*c*x+b)^3+140*c^2/(-4*a*c+b^2)^4/d^4/(2*c*x+b)-1/2/(-4*a*c+b^2)/d^4/(2*c*x+b)^3/(c*x^2+b*x+a)^2+7*c/(-4*a*c+b^2)^2/d^4/(2*c*x+b)^3/(c*x^2+b*x+a)-140*c^2*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(9/2)/d^4,1],
[(5+2*x)/(x^2+5*x+4),x,1,ln(x^2+5*x+4),1],
[(3+2*x)/(4*x^2+12*x+13)^2,x,1,-1/4/(4*x^2+12*x+13),1],
[(2*c*d*x+b*d)^(5/2)*(c*x^2+b*x+a),x,2,-1/28*(-4*a*c+b^2)*(2*c*d*x+b*d)^(7/2)/c^2/d+1/44*(2*c*d*x+b*d)^(11/2)/c^2/d^3,1],
[(2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a),x,2,-1/20*(-4*a*c+b^2)*(2*c*d*x+b*d)^(5/2)/c^2/d+1/36*(2*c*d*x+b*d)^(9/2)/c^2/d^3,1],
[sqrt(2*c*d*x+b*d)*(c*x^2+b*x+a),x,2,-1/12*(-4*a*c+b^2)*(2*c*d*x+b*d)^(3/2)/c^2/d+1/28*(2*c*d*x+b*d)^(7/2)/c^2/d^3,1],
[(c*x^2+b*x+a)/sqrt(2*c*d*x+b*d),x,2,-1/4*(-4*a*c+b^2)*sqrt(2*c*d*x+b*d)/c^2/d+1/20*(2*c*d*x+b*d)^(5/2)/c^2/d^3,1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^(3/2),x,2,1/4*(-4*a*c+b^2)/c^2/d/sqrt(2*c*d*x+b*d)+1/12*(2*c*d*x+b*d)^(3/2)/c^2/d^3,1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^(5/2),x,2,1/12*(-4*a*c+b^2)/c^2/d/(2*c*d*x+b*d)^(3/2)+1/4*sqrt(2*c*d*x+b*d)/c^2/d^3,1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^(7/2),x,2,1/20*(-4*a*c+b^2)/c^2/d/(2*c*d*x+b*d)^(5/2)-1/4/c^2/d^3/sqrt(2*c*d*x+b*d),1],
[(c*x^2+b*x+a)/(2*c*d*x+b*d)^(9/2),x,2,1/28*(-4*a*c+b^2)/c^2/d/(2*c*d*x+b*d)^(7/2)-1/12/c^2/d^3/(2*c*d*x+b*d)^(3/2),1],
[(2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^2,x,2,1/80*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(5/2)/c^3/d-1/72*(-4*a*c+b^2)*(2*c*d*x+b*d)^(9/2)/c^3/d^3+1/208*(2*c*d*x+b*d)^(13/2)/c^3/d^5,1],
[sqrt(2*c*d*x+b*d)*(c*x^2+b*x+a)^2,x,2,1/48*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(3/2)/c^3/d-1/56*(-4*a*c+b^2)*(2*c*d*x+b*d)^(7/2)/c^3/d^3+1/176*(2*c*d*x+b*d)^(11/2)/c^3/d^5,1],
[(c*x^2+b*x+a)^2/sqrt(2*c*d*x+b*d),x,2,1/16*(-4*a*c+b^2)^2*sqrt(2*c*d*x+b*d)/c^3/d-1/40*(-4*a*c+b^2)*(2*c*d*x+b*d)^(5/2)/c^3/d^3+1/144*(2*c*d*x+b*d)^(9/2)/c^3/d^5,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(3/2),x,2,-1/16*(-4*a*c+b^2)^2/c^3/d/sqrt(2*c*d*x+b*d)-1/24*(-4*a*c+b^2)*(2*c*d*x+b*d)^(3/2)/c^3/d^3+1/112*(2*c*d*x+b*d)^(7/2)/c^3/d^5,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(5/2),x,2,-1/48*(-4*a*c+b^2)^2/c^3/d/(2*c*d*x+b*d)^(3/2)-1/8*(-4*a*c+b^2)*sqrt(2*c*d*x+b*d)/c^3/d^3+1/80*(2*c*d*x+b*d)^(5/2)/c^3/d^5,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(7/2),x,2,-1/80*(-4*a*c+b^2)^2/c^3/d/(2*c*d*x+b*d)^(5/2)+1/8*(-4*a*c+b^2)/c^3/d^3/sqrt(2*c*d*x+b*d)+1/48*(2*c*d*x+b*d)^(3/2)/c^3/d^5,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(9/2),x,2,-1/112*(-4*a*c+b^2)^2/c^3/d/(2*c*d*x+b*d)^(7/2)+1/24*(-4*a*c+b^2)/c^3/d^3/(2*c*d*x+b*d)^(3/2)+1/16*sqrt(2*c*d*x+b*d)/c^3/d^5,1],
[(c*x^2+b*x+a)^2/(2*c*d*x+b*d)^(11/2),x,2,-1/144*(-4*a*c+b^2)^2/c^3/d/(2*c*d*x+b*d)^(9/2)+1/40*(-4*a*c+b^2)/c^3/d^3/(2*c*d*x+b*d)^(5/2)-1/16/c^3/d^5/sqrt(2*c*d*x+b*d),1],
[sqrt(2*c*d*x+b*d)*(c*x^2+b*x+a)^3,x,2,-1/192*(-4*a*c+b^2)^3*(2*c*d*x+b*d)^(3/2)/c^4/d+3/448*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(7/2)/c^4/d^3-3/704*(-4*a*c+b^2)*(2*c*d*x+b*d)^(11/2)/c^4/d^5+1/960*(2*c*d*x+b*d)^(15/2)/c^4/d^7,1],
[(c*x^2+b*x+a)^3/sqrt(2*c*d*x+b*d),x,2,-1/64*(-4*a*c+b^2)^3*sqrt(2*c*d*x+b*d)/c^4/d+3/320*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(5/2)/c^4/d^3-1/192*(-4*a*c+b^2)*(2*c*d*x+b*d)^(9/2)/c^4/d^5+1/832*(2*c*d*x+b*d)^(13/2)/c^4/d^7,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(3/2),x,2,1/64*(-4*a*c+b^2)^3/c^4/d/sqrt(2*c*d*x+b*d)+1/64*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(3/2)/c^4/d^3-3/448*(-4*a*c+b^2)*(2*c*d*x+b*d)^(7/2)/c^4/d^5+1/704*(2*c*d*x+b*d)^(11/2)/c^4/d^7,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(5/2),x,2,1/192*(-4*a*c+b^2)^3/c^4/d/(2*c*d*x+b*d)^(3/2)+3/64*(-4*a*c+b^2)^2*sqrt(2*c*d*x+b*d)/c^4/d^3-3/320*(-4*a*c+b^2)*(2*c*d*x+b*d)^(5/2)/c^4/d^5+1/576*(2*c*d*x+b*d)^(9/2)/c^4/d^7,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(7/2),x,2,1/320*(-4*a*c+b^2)^3/c^4/d/(2*c*d*x+b*d)^(5/2)-3/64*(-4*a*c+b^2)^2/c^4/d^3/sqrt(2*c*d*x+b*d)-1/64*(-4*a*c+b^2)*(2*c*d*x+b*d)^(3/2)/c^4/d^5+1/448*(2*c*d*x+b*d)^(7/2)/c^4/d^7,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(9/2),x,2,1/448*(-4*a*c+b^2)^3/c^4/d/(2*c*d*x+b*d)^(7/2)-1/64*(-4*a*c+b^2)^2/c^4/d^3/(2*c*d*x+b*d)^(3/2)-3/64*(-4*a*c+b^2)*sqrt(2*c*d*x+b*d)/c^4/d^5+1/320*(2*c*d*x+b*d)^(5/2)/c^4/d^7,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(11/2),x,2,1/576*(-4*a*c+b^2)^3/c^4/d/(2*c*d*x+b*d)^(9/2)-3/320*(-4*a*c+b^2)^2/c^4/d^3/(2*c*d*x+b*d)^(5/2)+3/64*(-4*a*c+b^2)/c^4/d^5/sqrt(2*c*d*x+b*d)+1/192*(2*c*d*x+b*d)^(3/2)/c^4/d^7,1],
[(c*x^2+b*x+a)^3/(2*c*d*x+b*d)^(13/2),x,2,1/704*(-4*a*c+b^2)^3/c^4/d/(2*c*d*x+b*d)^(11/2)-3/448*(-4*a*c+b^2)^2/c^4/d^3/(2*c*d*x+b*d)^(7/2)+1/64*(-4*a*c+b^2)/c^4/d^5/(2*c*d*x+b*d)^(3/2)+1/64*sqrt(2*c*d*x+b*d)/c^4/d^7,1],
[(2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a),x,8,4*(-4*a*c+b^2)^2*d^5*sqrt(2*c*d*x+b*d)+4/5*(-4*a*c+b^2)*d^3*(2*c*d*x+b*d)^(5/2)+4/9*d*(2*c*d*x+b*d)^(9/2)-2*(-4*a*c+b^2)^(9/4)*d^(11/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-2*(-4*a*c+b^2)^(9/4)*d^(11/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a),x,7,4/3*(-4*a*c+b^2)*d^3*(2*c*d*x+b*d)^(3/2)+4/7*d*(2*c*d*x+b*d)^(7/2)+2*(-4*a*c+b^2)^(7/4)*d^(9/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-2*(-4*a*c+b^2)^(7/4)*d^(9/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a),x,7,4*(-4*a*c+b^2)*d^3*sqrt(2*c*d*x+b*d)+4/5*d*(2*c*d*x+b*d)^(5/2)-2*(-4*a*c+b^2)^(5/4)*d^(7/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-2*(-4*a*c+b^2)^(5/4)*d^(7/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a),x,6,4/3*d*(2*c*d*x+b*d)^(3/2)+2*(-4*a*c+b^2)^(3/4)*d^(5/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-2*(-4*a*c+b^2)^(3/4)*d^(5/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a),x,6,4*d*sqrt(2*c*d*x+b*d)-2*(-4*a*c+b^2)^(1/4)*d^(3/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-2*(-4*a*c+b^2)^(1/4)*d^(3/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a),x,5,2*sqrt(d)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(1/4)-2*sqrt(d)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(1/4),1],
[1/sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a),x,5,-2*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(3/4)/sqrt(d)-2*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(3/4)/sqrt(d),1],
[1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a),x,6,4/(-4*a*c+b^2)/d/sqrt(2*c*d*x+b*d)+2*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(5/4)/d^(3/2)-2*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(5/4)/d^(3/2),1],
[1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a),x,6,4/3/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(3/2)-2*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(7/4)/d^(5/2)-2*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(7/4)/d^(5/2),1],
[1/(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a),x,7,4/5/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(5/2)+4/(-4*a*c+b^2)^2/d^3/sqrt(2*c*d*x+b*d)+2*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(9/4)/d^(7/2)-2*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(9/4)/d^(7/2),1],
[(2*c*d*x+b*d)^(15/2)/(c*x^2+b*x+a)^2,x,9,52*c*(-4*a*c+b^2)^2*d^7*sqrt(2*c*d*x+b*d)+52/5*c*(-4*a*c+b^2)*d^5*(2*c*d*x+b*d)^(5/2)+52/9*c*d^3*(2*c*d*x+b*d)^(9/2)-d*(2*c*d*x+b*d)^(13/2)/(c*x^2+b*x+a)-26*c*(-4*a*c+b^2)^(9/4)*d^(15/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-26*c*(-4*a*c+b^2)^(9/4)*d^(15/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(13/2)/(c*x^2+b*x+a)^2,x,8,44/3*c*(-4*a*c+b^2)*d^5*(2*c*d*x+b*d)^(3/2)+44/7*c*d^3*(2*c*d*x+b*d)^(7/2)-d*(2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)+22*c*(-4*a*c+b^2)^(7/4)*d^(13/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-22*c*(-4*a*c+b^2)^(7/4)*d^(13/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)^2,x,8,36*c*(-4*a*c+b^2)*d^5*sqrt(2*c*d*x+b*d)+36/5*c*d^3*(2*c*d*x+b*d)^(5/2)-d*(2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)-18*c*(-4*a*c+b^2)^(5/4)*d^(11/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-18*c*(-4*a*c+b^2)^(5/4)*d^(11/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^2,x,7,28/3*c*d^3*(2*c*d*x+b*d)^(3/2)-d*(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)+14*c*(-4*a*c+b^2)^(3/4)*d^(9/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-14*c*(-4*a*c+b^2)^(3/4)*d^(9/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^2,x,7,20*c*d^3*sqrt(2*c*d*x+b*d)-d*(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)-10*c*(-4*a*c+b^2)^(1/4)*d^(7/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-10*c*(-4*a*c+b^2)^(1/4)*d^(7/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^2,x,6,-d*(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)+6*c*d^(5/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(1/4)-6*c*d^(5/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(1/4),1],
[(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^2,x,6,-d*sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)-2*c*d^(3/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(3/4)-2*c*d^(3/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(3/4),1],
[sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^2,x,6,-(2*c*d*x+b*d)^(3/2)/(-4*a*c+b^2)/d/(c*x^2+b*x+a)-2*c*sqrt(d)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(5/4)+2*c*sqrt(d)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(5/4),1],
[1/sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^2,x,6,-sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)/d/(c*x^2+b*x+a)+6*c*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(7/4)/sqrt(d)+6*c*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(7/4)/sqrt(d),1],
[1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^2,x,7,-20*c/(-4*a*c+b^2)^2/d/sqrt(2*c*d*x+b*d)-1/(-4*a*c+b^2)/d/sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)-10*c*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(9/4)/d^(3/2)+10*c*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(9/4)/d^(3/2),1],
[1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^2,x,7,-28/3*c/(-4*a*c+b^2)^2/d/(2*c*d*x+b*d)^(3/2)-1/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)+14*c*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(11/4)/d^(5/2)+14*c*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(11/4)/d^(5/2),1],
[1/(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^2,x,8,-36/5*c/(-4*a*c+b^2)^2/d/(2*c*d*x+b*d)^(5/2)-36*c/(-4*a*c+b^2)^3/d^3/sqrt(2*c*d*x+b*d)-1/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)-18*c*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(13/4)/d^(7/2)+18*c*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(13/4)/d^(7/2),1],
[(2*c*d*x+b*d)^(17/2)/(c*x^2+b*x+a)^3,x,9,110*c^2*(-4*a*c+b^2)*d^7*(2*c*d*x+b*d)^(3/2)+330/7*c^2*d^5*(2*c*d*x+b*d)^(7/2)-1/2*d*(2*c*d*x+b*d)^(15/2)/(c*x^2+b*x+a)^2-15*c*d^3*(2*c*d*x+b*d)^(11/2)/(2*c*x^2+2*b*x+2*a)+165*c^2*(-4*a*c+b^2)^(7/4)*d^(17/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-165*c^2*(-4*a*c+b^2)^(7/4)*d^(17/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(15/2)/(c*x^2+b*x+a)^3,x,9,234*c^2*(-4*a*c+b^2)*d^7*sqrt(2*c*d*x+b*d)+234/5*c^2*d^5*(2*c*d*x+b*d)^(5/2)-1/2*d*(2*c*d*x+b*d)^(13/2)/(c*x^2+b*x+a)^2-13*c*d^3*(2*c*d*x+b*d)^(9/2)/(2*c*x^2+2*b*x+2*a)-117*c^2*(-4*a*c+b^2)^(5/4)*d^(15/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-117*c^2*(-4*a*c+b^2)^(5/4)*d^(15/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(13/2)/(c*x^2+b*x+a)^3,x,8,154/3*c^2*d^5*(2*c*d*x+b*d)^(3/2)-1/2*d*(2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)^2-11*c*d^3*(2*c*d*x+b*d)^(7/2)/(2*c*x^2+2*b*x+2*a)+77*c^2*(-4*a*c+b^2)^(3/4)*d^(13/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-77*c^2*(-4*a*c+b^2)^(3/4)*d^(13/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)^3,x,8,90*c^2*d^5*sqrt(2*c*d*x+b*d)-1/2*d*(2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^2-9*c*d^3*(2*c*d*x+b*d)^(5/2)/(2*c*x^2+2*b*x+2*a)-45*c^2*(-4*a*c+b^2)^(1/4)*d^(11/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))-45*c^2*(-4*a*c+b^2)^(1/4)*d^(11/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),1],
[(2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^3,x,7,-1/2*d*(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^2-7*c*d^3*(2*c*d*x+b*d)^(3/2)/(2*c*x^2+2*b*x+2*a)+21*c^2*d^(9/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(1/4)-21*c^2*d^(9/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(1/4),1],
[(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^3,x,7,-1/2*d*(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^2-5*c*d^3*sqrt(2*c*d*x+b*d)/(2*c*x^2+2*b*x+2*a)-5*c^2*d^(7/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(3/4)-5*c^2*d^(7/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(3/4),1],
[(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^3,x,7,-1/2*d*(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^2-3/2*c*d*(2*c*d*x+b*d)^(3/2)/(-4*a*c+b^2)/(c*x^2+b*x+a)-3*c^2*d^(5/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(5/4)+3*c^2*d^(5/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(5/4),1],
[(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^3,x,7,-1/2*d*sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^2-1/2*c*d*sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)/(c*x^2+b*x+a)+3*c^2*d^(3/2)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(7/4)+3*c^2*d^(3/2)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(7/4),1],
[sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^3,x,7,-1/2*(2*c*d*x+b*d)^(3/2)/(-4*a*c+b^2)/d/(c*x^2+b*x+a)^2+5/2*c*(2*c*d*x+b*d)^(3/2)/(-4*a*c+b^2)^2/d/(c*x^2+b*x+a)+5*c^2*sqrt(d)*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(9/4)-5*c^2*sqrt(d)*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(9/4),1],
[1/sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^3,x,7,-1/2*sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)/d/(c*x^2+b*x+a)^2+7/2*c*sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^2/d/(c*x^2+b*x+a)-21*c^2*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(11/4)/sqrt(d)-21*c^2*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(11/4)/sqrt(d),1],
[1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^3,x,8,90*c^2/(-4*a*c+b^2)^3/d/sqrt(2*c*d*x+b*d)-1/2/(-4*a*c+b^2)/d/sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^2+9/2*c/(-4*a*c+b^2)^2/d/sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)+45*c^2*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(13/4)/d^(3/2)-45*c^2*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(13/4)/d^(3/2),1],
[1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^3,x,8,154/3*c^2/(-4*a*c+b^2)^3/d/(2*c*d*x+b*d)^(3/2)-1/2/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^2+11/2*c/(-4*a*c+b^2)^2/d/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)-77*c^2*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(15/4)/d^(5/2)-77*c^2*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(15/4)/d^(5/2),1],
[1/(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^3,x,9,234/5*c^2/(-4*a*c+b^2)^3/d/(2*c*d*x+b*d)^(5/2)+234*c^2/(-4*a*c+b^2)^4/d^3/sqrt(2*c*d*x+b*d)-1/2/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^2+13/2*c/(-4*a*c+b^2)^2/d/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)+117*c^2*arctan(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(17/4)/d^(7/2)-117*c^2*arctanh(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))/(-4*a*c+b^2)^(17/4)/d^(7/2),1],
[(1+2*x)^(7/2)/(x^2+x+1),x,12,-12*sqrt(1+2*x)+4/5*(1+2*x)^(5/2)-3*sqrt(2)*3^(1/4)*arctan(1-1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))+3*sqrt(2)*3^(1/4)*arctan(1+1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))+3*sqrt(2)*3^(1/4)*arctanh(sqrt(2)*3^(1/4)*sqrt(1+2*x)/(1+sqrt(3)+2*x)),1],
[(1+2*x)^(5/2)/(x^2+x+1),x,11,4/3*(1+2*x)^(3/2)+sqrt(2)*3^(3/4)*arctan(1-1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))-sqrt(2)*3^(3/4)*arctan(1+1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))+sqrt(2)*3^(3/4)*arctanh(sqrt(2)*3^(1/4)*sqrt(1+2*x)/(1+sqrt(3)+2*x)),1],
[(1+2*x)^(3/2)/(x^2+x+1),x,11,4*sqrt(1+2*x)+sqrt(2)*3^(1/4)*arctan(1-1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))-sqrt(2)*3^(1/4)*arctan(1+1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))-sqrt(2)*3^(1/4)*arctanh(sqrt(2)*3^(1/4)*sqrt(1+2*x)/(1+sqrt(3)+2*x)),1],
[sqrt(1+2*x)/(x^2+x+1),x,10,-1/3*sqrt(2)*3^(3/4)*arctan(1-1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))+1/3*sqrt(2)*3^(3/4)*arctan(1+1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))-1/3*sqrt(2)*3^(3/4)*arctanh(sqrt(2)*3^(1/4)*sqrt(1+2*x)/(1+sqrt(3)+2*x)),1],
[1/sqrt(1+2*x)/(x^2+x+1),x,10,-1/3*sqrt(2)*3^(1/4)*arctan(1-1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))+1/3*sqrt(2)*3^(1/4)*arctan(1+1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))+1/3*sqrt(2)*3^(1/4)*arctanh(sqrt(2)*3^(1/4)*sqrt(1+2*x)/(1+sqrt(3)+2*x)),1],
[1/(1+2*x)^(3/2)/(x^2+x+1),x,11,-4/3/sqrt(1+2*x)+1/9*sqrt(2)*3^(3/4)*arctan(1-1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))-1/9*sqrt(2)*3^(3/4)*arctan(1+1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))+1/9*sqrt(2)*3^(3/4)*arctanh(sqrt(2)*3^(1/4)*sqrt(1+2*x)/(1+sqrt(3)+2*x)),1],
[1/(1+2*x)^(5/2)/(x^2+x+1),x,11,-4/9/(1+2*x)^(3/2)+1/9*sqrt(2)*3^(1/4)*arctan(1-1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))-1/9*sqrt(2)*3^(1/4)*arctan(1+1/3*sqrt(2)*sqrt(1+2*x)*3^(3/4))-1/9*sqrt(2)*3^(1/4)*arctanh(sqrt(2)*3^(1/4)*sqrt(1+2*x)/(1+sqrt(3)+2*x)),1],
[(2*c*d*x+b*d)^4*sqrt(c*x^2+b*x+a),x,5,-1/32*(-4*a*c+b^2)^2*d^4*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c-1/48*(-4*a*c+b^2)*d^4*(2*c*x+b)^3*sqrt(c*x^2+b*x+a)/c+1/12*d^4*(2*c*x+b)^5*sqrt(c*x^2+b*x+a)/c-1/64*(-4*a*c+b^2)^3*d^4*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(2*c*d*x+b*d)^3*sqrt(c*x^2+b*x+a),x,2,4/15*(-4*a*c+b^2)*d^3*(c*x^2+b*x+a)^(3/2)+2/5*d^3*(2*c*x+b)^2*(c*x^2+b*x+a)^(3/2),1],
[(2*c*d*x+b*d)^2*sqrt(c*x^2+b*x+a),x,4,-1/16*(-4*a*c+b^2)*d^2*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c+1/8*d^2*(2*c*x+b)^3*sqrt(c*x^2+b*x+a)/c-1/32*(-4*a*c+b^2)^2*d^2*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a),x,1,2/3*d*(c*x^2+b*x+a)^(3/2),1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d),x,3,1/2*sqrt(c*x^2+b*x+a)/c/d-1/4*sqrt(-4*a*c+b^2)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(3/2)/d,1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^2,x,3,-1/2*sqrt(c*x^2+b*x+a)/c/d^2/(2*c*x+b)+1/4*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/d^2,1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^3,x,3,-1/4*sqrt(c*x^2+b*x+a)/c/d^3/(2*c*x+b)^2+1/8*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(3/2)/sqrt(-4*a*c+b^2)/d^3,1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^4,x,1,2/3*(c*x^2+b*x+a)^(3/2)/(-4*a*c+b^2)/d^4/(2*c*x+b)^3,1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^5,x,4,-1/8*sqrt(c*x^2+b*x+a)/c/d^5/(2*c*x+b)^4+1/16*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)/d^5/(2*c*x+b)^2+1/32*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(3/2)/(-4*a*c+b^2)^(3/2)/d^5,1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^6,x,2,2/5*(c*x^2+b*x+a)^(3/2)/(-4*a*c+b^2)/d^6/(2*c*x+b)^5+4/15*(c*x^2+b*x+a)^(3/2)/(-4*a*c+b^2)^2/d^6/(2*c*x+b)^3,1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^7,x,5,-1/12*sqrt(c*x^2+b*x+a)/c/d^7/(2*c*x+b)^6+1/48*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)/d^7/(2*c*x+b)^4+1/32*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)^2/d^7/(2*c*x+b)^2+1/64*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(3/2)/(-4*a*c+b^2)^(5/2)/d^7,1],
[(2*c*d*x+b*d)^5*(c*x^2+b*x+a)^(3/2),x,3,16/315*(-4*a*c+b^2)^2*d^5*(c*x^2+b*x+a)^(5/2)+8/63*(-4*a*c+b^2)*d^5*(2*c*x+b)^2*(c*x^2+b*x+a)^(5/2)+2/9*d^5*(2*c*x+b)^4*(c*x^2+b*x+a)^(5/2),1],
[(2*c*d*x+b*d)^4*(c*x^2+b*x+a)^(3/2),x,6,3/1024*(-4*a*c+b^2)^3*d^4*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^2+1/512*(-4*a*c+b^2)^2*d^4*(2*c*x+b)^3*sqrt(c*x^2+b*x+a)/c^2-1/128*(-4*a*c+b^2)*d^4*(2*c*x+b)^5*sqrt(c*x^2+b*x+a)/c^2+1/16*d^4*(2*c*x+b)^5*(c*x^2+b*x+a)^(3/2)/c+3/2048*(-4*a*c+b^2)^4*d^4*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(2*c*d*x+b*d)^3*(c*x^2+b*x+a)^(3/2),x,2,4/35*(-4*a*c+b^2)*d^3*(c*x^2+b*x+a)^(5/2)+2/7*d^3*(2*c*x+b)^2*(c*x^2+b*x+a)^(5/2),1],
[(2*c*d*x+b*d)^2*(c*x^2+b*x+a)^(3/2),x,5,1/128*(-4*a*c+b^2)^2*d^2*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^2-1/64*(-4*a*c+b^2)*d^2*(2*c*x+b)^3*sqrt(c*x^2+b*x+a)/c^2+1/12*d^2*(2*c*x+b)^3*(c*x^2+b*x+a)^(3/2)/c+1/256*(-4*a*c+b^2)^3*d^2*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(2*c*d*x+b*d)*(c*x^2+b*x+a)^(3/2),x,1,2/5*d*(c*x^2+b*x+a)^(5/2),1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d),x,4,-1/8*(-4*a*c+b^2)*sqrt(c*x^2+b*x+a)/c^2/d+1/6*(c*x^2+b*x+a)^(3/2)/c/d+1/16*(-4*a*c+b^2)^(3/2)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(5/2)/d,1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^2,x,4,3/16*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^2/d^2-1/2*(c*x^2+b*x+a)^(3/2)/c/d^2/(2*c*x+b)-3/32*(-4*a*c+b^2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/d^2,1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^3,x,4,3/16*sqrt(c*x^2+b*x+a)/c^2/d^3-1/4*(c*x^2+b*x+a)^(3/2)/c/d^3/(2*c*x+b)^2-3/32*sqrt(-4*a*c+b^2)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(5/2)/d^3,1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^4,x,4,-1/8*sqrt(c*x^2+b*x+a)/c^2/d^4/(2*c*x+b)-1/6*(c*x^2+b*x+a)^(3/2)/c/d^4/(2*c*x+b)^3+1/16*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/d^4,1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^5,x,4,-3/64*sqrt(c*x^2+b*x+a)/c^2/d^5/(2*c*x+b)^2-1/8*(c*x^2+b*x+a)^(3/2)/c/d^5/(2*c*x+b)^4+3/128*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(5/2)/sqrt(-4*a*c+b^2)/d^5,1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^6,x,1,2/5*(c*x^2+b*x+a)^(5/2)/(-4*a*c+b^2)/d^6/(2*c*x+b)^5,1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^7,x,5,-1/64*sqrt(c*x^2+b*x+a)/c^2/d^7/(2*c*x+b)^4+1/128*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)/d^7/(2*c*x+b)^2-1/12*(c*x^2+b*x+a)^(3/2)/c/d^7/(2*c*x+b)^6+1/256*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(5/2)/(-4*a*c+b^2)^(3/2)/d^7,1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^8,x,2,2/7*(c*x^2+b*x+a)^(5/2)/(-4*a*c+b^2)/d^8/(2*c*x+b)^7+4/35*(c*x^2+b*x+a)^(5/2)/(-4*a*c+b^2)^2/d^8/(2*c*x+b)^5,1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^9,x,6,-1/128*sqrt(c*x^2+b*x+a)/c^2/d^9/(2*c*x+b)^6+1/512*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)/d^9/(2*c*x+b)^4+3/1024*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)^2/d^9/(2*c*x+b)^2-1/16*(c*x^2+b*x+a)^(3/2)/c/d^9/(2*c*x+b)^8+3/2048*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(5/2)/(-4*a*c+b^2)^(5/2)/d^9,1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^10,x,3,2/9*(c*x^2+b*x+a)^(5/2)/(-4*a*c+b^2)/d^10/(2*c*x+b)^9+8/63*(c*x^2+b*x+a)^(5/2)/(-4*a*c+b^2)^2/d^10/(2*c*x+b)^7+16/315*(c*x^2+b*x+a)^(5/2)/(-4*a*c+b^2)^3/d^10/(2*c*x+b)^5,1],
[(2*c*d*x+b*d)^5*(c*x^2+b*x+a)^(5/2),x,3,16/693*(-4*a*c+b^2)^2*d^5*(c*x^2+b*x+a)^(7/2)+8/99*(-4*a*c+b^2)*d^5*(2*c*x+b)^2*(c*x^2+b*x+a)^(7/2)+2/11*d^5*(2*c*x+b)^4*(c*x^2+b*x+a)^(7/2),1],
[(2*c*d*x+b*d)^4*(c*x^2+b*x+a)^(5/2),x,7,-3/8192*(-4*a*c+b^2)^4*d^4*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3-1/4096*(-4*a*c+b^2)^3*d^4*(2*c*x+b)^3*sqrt(c*x^2+b*x+a)/c^3+1/1024*(-4*a*c+b^2)^2*d^4*(2*c*x+b)^5*sqrt(c*x^2+b*x+a)/c^3-1/128*(-4*a*c+b^2)*d^4*(2*c*x+b)^5*(c*x^2+b*x+a)^(3/2)/c^2+1/20*d^4*(2*c*x+b)^5*(c*x^2+b*x+a)^(5/2)/c-3/16384*(-4*a*c+b^2)^5*d^4*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(2*c*d*x+b*d)^3*(c*x^2+b*x+a)^(5/2),x,2,4/63*(-4*a*c+b^2)*d^3*(c*x^2+b*x+a)^(7/2)+2/9*d^3*(2*c*x+b)^2*(c*x^2+b*x+a)^(7/2),1],
[(2*c*d*x+b*d)^2*(c*x^2+b*x+a)^(5/2),x,6,-5/4096*(-4*a*c+b^2)^3*d^2*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3+5/2048*(-4*a*c+b^2)^2*d^2*(2*c*x+b)^3*sqrt(c*x^2+b*x+a)/c^3-5/384*(-4*a*c+b^2)*d^2*(2*c*x+b)^3*(c*x^2+b*x+a)^(3/2)/c^2+1/16*d^2*(2*c*x+b)^3*(c*x^2+b*x+a)^(5/2)/c-5/8192*(-4*a*c+b^2)^4*d^2*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(2*c*d*x+b*d)*(c*x^2+b*x+a)^(5/2),x,1,2/7*d*(c*x^2+b*x+a)^(7/2),1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d),x,5,1/32*(-4*a*c+b^2)^2*sqrt(c*x^2+b*x+a)/c^3/d-1/24*(-4*a*c+b^2)*(c*x^2+b*x+a)^(3/2)/c^2/d+1/10*(c*x^2+b*x+a)^(5/2)/c/d-1/64*(-4*a*c+b^2)^(5/2)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(7/2)/d,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^2,x,5,-15/256*(-4*a*c+b^2)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3/d^2+5/32*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^2/d^2-1/2*(c*x^2+b*x+a)^(5/2)/c/d^2/(2*c*x+b)+15/512*(-4*a*c+b^2)^2*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2)/d^2,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^3,x,5,-5/64*(-4*a*c+b^2)*sqrt(c*x^2+b*x+a)/c^3/d^3+5/48*(c*x^2+b*x+a)^(3/2)/c^2/d^3-1/4*(c*x^2+b*x+a)^(5/2)/c/d^3/(2*c*x+b)^2+5/128*(-4*a*c+b^2)^(3/2)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(7/2)/d^3,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^4,x,5,5/64*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3/d^4-5/24*(c*x^2+b*x+a)^(3/2)/c^2/d^4/(2*c*x+b)-1/6*(c*x^2+b*x+a)^(5/2)/c/d^4/(2*c*x+b)^3-5/128*(-4*a*c+b^2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2)/d^4,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^5,x,5,15/256*sqrt(c*x^2+b*x+a)/c^3/d^5-5/64*(c*x^2+b*x+a)^(3/2)/c^2/d^5/(2*c*x+b)^2-1/8*(c*x^2+b*x+a)^(5/2)/c/d^5/(2*c*x+b)^4-15/512*sqrt(-4*a*c+b^2)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(7/2)/d^5,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^6,x,5,-1/32*sqrt(c*x^2+b*x+a)/c^3/d^6/(2*c*x+b)-1/24*(c*x^2+b*x+a)^(3/2)/c^2/d^6/(2*c*x+b)^3-1/10*(c*x^2+b*x+a)^(5/2)/c/d^6/(2*c*x+b)^5+1/64*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2)/d^6,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^7,x,5,-5/512*sqrt(c*x^2+b*x+a)/c^3/d^7/(2*c*x+b)^2-5/192*(c*x^2+b*x+a)^(3/2)/c^2/d^7/(2*c*x+b)^4-1/12*(c*x^2+b*x+a)^(5/2)/c/d^7/(2*c*x+b)^6+5/1024*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(7/2)/sqrt(-4*a*c+b^2)/d^7,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^8,x,1,2/7*(c*x^2+b*x+a)^(7/2)/(-4*a*c+b^2)/d^8/(2*c*x+b)^7,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^9,x,6,-5/2048*sqrt(c*x^2+b*x+a)/c^3/d^9/(2*c*x+b)^4+5/4096*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)/d^9/(2*c*x+b)^2-5/384*(c*x^2+b*x+a)^(3/2)/c^2/d^9/(2*c*x+b)^6-1/16*(c*x^2+b*x+a)^(5/2)/c/d^9/(2*c*x+b)^8+5/8192*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(7/2)/(-4*a*c+b^2)^(3/2)/d^9,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^10,x,2,2/9*(c*x^2+b*x+a)^(7/2)/(-4*a*c+b^2)/d^10/(2*c*x+b)^9+4/63*(c*x^2+b*x+a)^(7/2)/(-4*a*c+b^2)^2/d^10/(2*c*x+b)^7,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^11,x,7,-1/1024*sqrt(c*x^2+b*x+a)/c^3/d^11/(2*c*x+b)^6+1/4096*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)/d^11/(2*c*x+b)^4+3/8192*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)^2/d^11/(2*c*x+b)^2-1/128*(c*x^2+b*x+a)^(3/2)/c^2/d^11/(2*c*x+b)^8-1/20*(c*x^2+b*x+a)^(5/2)/c/d^11/(2*c*x+b)^10+3/16384*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/c^(7/2)/(-4*a*c+b^2)^(5/2)/d^11,1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^12,x,3,2/11*(c*x^2+b*x+a)^(7/2)/(-4*a*c+b^2)/d^12/(2*c*x+b)^11+8/99*(c*x^2+b*x+a)^(7/2)/(-4*a*c+b^2)^2/d^12/(2*c*x+b)^9+16/693*(c*x^2+b*x+a)^(7/2)/(-4*a*c+b^2)^3/d^12/(2*c*x+b)^7,1],
[(2*c*d*x+b*d)^4/sqrt(c*x^2+b*x+a),x,4,3/4*(-4*a*c+b^2)*d^4*(2*c*x+b)*sqrt(c*x^2+b*x+a)+1/2*d^4*(2*c*x+b)^3*sqrt(c*x^2+b*x+a)+3/8*(-4*a*c+b^2)^2*d^4*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c),1],
[(2*c*d*x+b*d)^3/sqrt(c*x^2+b*x+a),x,2,4/3*(-4*a*c+b^2)*d^3*sqrt(c*x^2+b*x+a)+2/3*d^3*(2*c*x+b)^2*sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^2/sqrt(c*x^2+b*x+a),x,3,d^2*(2*c*x+b)*sqrt(c*x^2+b*x+a)+1/2*(-4*a*c+b^2)*d^2*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c),1],
[(2*c*d*x+b*d)/sqrt(c*x^2+b*x+a),x,1,2*d*sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)/sqrt(c*x^2+b*x+a),x,2,arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/sqrt(c)/sqrt(-4*a*c+b^2)/d,1],
[1/(2*c*d*x+b*d)^2/sqrt(c*x^2+b*x+a),x,1,2*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)/d^2/(2*c*x+b),1],
[1/(2*c*d*x+b*d)^3/sqrt(c*x^2+b*x+a),x,3,sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)/d^3/(2*c*x+b)^2+1/2*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/sqrt(c)/(-4*a*c+b^2)^(3/2)/d^3,1],
[1/(2*c*d*x+b*d)^4/sqrt(c*x^2+b*x+a),x,2,2/3*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)/d^4/(2*c*x+b)^3+4/3*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d^4/(2*c*x+b),1],
[(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^(3/2),x,4,-2*d^4*(2*c*x+b)^3/sqrt(c*x^2+b*x+a)+12*c*d^4*(2*c*x+b)*sqrt(c*x^2+b*x+a)+6*sqrt(c)*(-4*a*c+b^2)*d^4*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a)),1],
[(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^(3/2),x,2,-2*d^3*(2*c*x+b)^2/sqrt(c*x^2+b*x+a)+16*c*d^3*sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^(3/2),x,3,-2*d^2*(2*c*x+b)/sqrt(c*x^2+b*x+a)+4*sqrt(c)*d^2*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a)),1],
[(2*c*d*x+b*d)/(c*x^2+b*x+a)^(3/2),x,1,-2*d/sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)/(c*x^2+b*x+a)^(3/2),x,3,-2/(-4*a*c+b^2)/d/sqrt(c*x^2+b*x+a)-4*sqrt(c)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/d,1],
[1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^(3/2),x,2,-2/(-4*a*c+b^2)/d^2/(2*c*x+b)/sqrt(c*x^2+b*x+a)-16*c*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d^2/(2*c*x+b),1],
[1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^(3/2),x,4,-2/(-4*a*c+b^2)/d^3/(2*c*x+b)^2/sqrt(c*x^2+b*x+a)-12*c*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d^3/(2*c*x+b)^2-6*sqrt(c)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2)/d^3,1],
[1/(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^(3/2),x,3,-2/(-4*a*c+b^2)/d^4/(2*c*x+b)^3/sqrt(c*x^2+b*x+a)-32/3*c*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d^4/(2*c*x+b)^3-64/3*c*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^3/d^4/(2*c*x+b),1],
[(2*c*d*x+b*d)^6/(c*x^2+b*x+a)^(5/2),x,5,-2/3*d^6*(2*c*x+b)^5/(c*x^2+b*x+a)^(3/2)-40/3*c*d^6*(2*c*x+b)^3/sqrt(c*x^2+b*x+a)+80*c^2*d^6*(2*c*x+b)*sqrt(c*x^2+b*x+a)+40*c^(3/2)*(-4*a*c+b^2)*d^6*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a)),1],
[(2*c*d*x+b*d)^5/(c*x^2+b*x+a)^(5/2),x,3,-2/3*d^5*(2*c*x+b)^4/(c*x^2+b*x+a)^(3/2)-32/3*c*d^5*(2*c*x+b)^2/sqrt(c*x^2+b*x+a)+256/3*c^2*d^5*sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^(5/2),x,4,-2/3*d^4*(2*c*x+b)^3/(c*x^2+b*x+a)^(3/2)-8*c*d^4*(2*c*x+b)/sqrt(c*x^2+b*x+a)+16*c^(3/2)*d^4*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a)),1],
[(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^(5/2),x,2,-2/3*d^3*(2*c*x+b)^2/(c*x^2+b*x+a)^(3/2)-16/3*c*d^3/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^(5/2),x,1,-2/3*d^2*(2*c*x+b)^3/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2),1],
[(2*c*d*x+b*d)/(c*x^2+b*x+a)^(5/2),x,1,-2/3*d/(c*x^2+b*x+a)^(3/2),1],
[1/(2*c*d*x+b*d)/(c*x^2+b*x+a)^(5/2),x,4,-2/3/(-4*a*c+b^2)/d/(c*x^2+b*x+a)^(3/2)+8*c/(-4*a*c+b^2)^2/d/sqrt(c*x^2+b*x+a)+16*c^(3/2)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2)/d,1],
[1/(2*c*d*x+b*d)^2/(c*x^2+b*x+a)^(5/2),x,3,-2/3/(-4*a*c+b^2)/d^2/(2*c*x+b)/(c*x^2+b*x+a)^(3/2)+32/3*c/(-4*a*c+b^2)^2/d^2/(2*c*x+b)/sqrt(c*x^2+b*x+a)+256/3*c^2*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^3/d^2/(2*c*x+b),1],
[1/(2*c*d*x+b*d)^3/(c*x^2+b*x+a)^(5/2),x,5,-2/3/(-4*a*c+b^2)/d^3/(2*c*x+b)^2/(c*x^2+b*x+a)^(3/2)+40/3*c/(-4*a*c+b^2)^2/d^3/(2*c*x+b)^2/sqrt(c*x^2+b*x+a)+80*c^2*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^3/d^3/(2*c*x+b)^2+40*c^(3/2)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(7/2)/d^3,1],
[1/(2*c*d*x+b*d)^4/(c*x^2+b*x+a)^(5/2),x,4,-2/3/(-4*a*c+b^2)/d^4/(2*c*x+b)^3/(c*x^2+b*x+a)^(3/2)+16*c/(-4*a*c+b^2)^2/d^4/(2*c*x+b)^3/sqrt(c*x^2+b*x+a)+256/3*c^2*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^3/d^4/(2*c*x+b)^3+512/3*c^2*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^4/d^4/(2*c*x+b),1],
[1/(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2+1),x,2,-arctanh(sqrt(b^2*x^2+2*a*b*x+a^2+1))/b,1],
[1/(1/2*b*e/c+e*x)/sqrt(c*x^2+b*x+a),x,2,2*sqrt(c)*arctan(2*sqrt(c)*sqrt(c*x^2+b*x+a)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/e,1],
[1/(-2+x)/sqrt(x^2-4*x+3),x,2,arctan(sqrt(x^2-4*x+3)),1],
[(2*c*d*x+b*d)^(7/2)*sqrt(c*x^2+b*x+a),x,6,-10/231*(-4*a*c+b^2)^2*d^3*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c-2/77*(-4*a*c+b^2)*d*(2*c*d*x+b*d)^(5/2)*sqrt(c*x^2+b*x+a)/c+1/11*(2*c*d*x+b*d)^(9/2)*sqrt(c*x^2+b*x+a)/c/d-5/231*(-4*a*c+b^2)^(13/4)*d^(7/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^2/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a),x,5,-2/21*(-4*a*c+b^2)*d*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c+1/7*(2*c*d*x+b*d)^(5/2)*sqrt(c*x^2+b*x+a)/c/d-1/21*(-4*a*c+b^2)^(9/4)*d^(3/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^2/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)/sqrt(2*c*d*x+b*d),x,4,1/3*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c/d-1/3*(-4*a*c+b^2)^(5/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^2/sqrt(d)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^(5/2),x,4,-1/3*sqrt(c*x^2+b*x+a)/c/d/(2*c*d*x+b*d)^(3/2)+1/3*(-4*a*c+b^2)^(1/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^2/d^(5/2)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^(9/2),x,5,-1/7*sqrt(c*x^2+b*x+a)/c/d/(2*c*d*x+b*d)^(7/2)+2/21*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)/d^3/(2*c*d*x+b*d)^(3/2)+1/21*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^2/(-4*a*c+b^2)^(3/4)/d^(9/2)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^(13/2),x,6,-1/11*sqrt(c*x^2+b*x+a)/c/d/(2*c*d*x+b*d)^(11/2)+2/77*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)/d^3/(2*c*d*x+b*d)^(7/2)+10/231*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)^2/d^5/(2*c*d*x+b*d)^(3/2)+5/231*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^2/(-4*a*c+b^2)^(7/4)/d^(13/2)/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(5/2)*sqrt(c*x^2+b*x+a),x,7,-2/45*(-4*a*c+b^2)*d*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)/c+1/9*(2*c*d*x+b*d)^(7/2)*sqrt(c*x^2+b*x+a)/c/d-1/15*(-4*a*c+b^2)^(11/4)*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^2/sqrt(c*x^2+b*x+a)+1/15*(-4*a*c+b^2)^(11/4)*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^2/sqrt(c*x^2+b*x+a),1],
[sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a),x,6,1/5*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)/c/d-1/5*(-4*a*c+b^2)^(7/4)*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^2/sqrt(c*x^2+b*x+a)+1/5*(-4*a*c+b^2)^(7/4)*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^2/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^(3/2),x,6,-sqrt(c*x^2+b*x+a)/c/d/sqrt(2*c*d*x+b*d)+(-4*a*c+b^2)^(3/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^2/d^(3/2)/sqrt(c*x^2+b*x+a)-(-4*a*c+b^2)^(3/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^2/d^(3/2)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)/(2*c*d*x+b*d)^(7/2),x,7,-1/5*sqrt(c*x^2+b*x+a)/c/d/(2*c*d*x+b*d)^(5/2)+2/5*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)/d^3/sqrt(2*c*d*x+b*d)-1/5*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^2/(-4*a*c+b^2)^(1/4)/d^(7/2)/sqrt(c*x^2+b*x+a)+1/5*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^2/(-4*a*c+b^2)^(1/4)/d^(7/2)/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(7/2)*(c*x^2+b*x+a)^(3/2),x,7,1/231*(-4*a*c+b^2)^3*d^3*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c^2+1/385*(-4*a*c+b^2)^2*d*(2*c*d*x+b*d)^(5/2)*sqrt(c*x^2+b*x+a)/c^2-1/110*(-4*a*c+b^2)*(2*c*d*x+b*d)^(9/2)*sqrt(c*x^2+b*x+a)/c^2/d+1/15*(2*c*d*x+b*d)^(9/2)*(c*x^2+b*x+a)^(3/2)/c/d+1/462*(-4*a*c+b^2)^(17/4)*d^(7/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^(3/2),x,6,1/77*(-4*a*c+b^2)^2*d*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c^2-3/154*(-4*a*c+b^2)*(2*c*d*x+b*d)^(5/2)*sqrt(c*x^2+b*x+a)/c^2/d+1/11*(2*c*d*x+b*d)^(5/2)*(c*x^2+b*x+a)^(3/2)/c/d+1/154*(-4*a*c+b^2)^(13/4)*d^(3/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/sqrt(2*c*d*x+b*d),x,5,-1/14*(-4*a*c+b^2)*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c^2/d+1/7*sqrt(2*c*d*x+b*d)*(c*x^2+b*x+a)^(3/2)/c/d+1/14*(-4*a*c+b^2)^(9/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/sqrt(d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(5/2),x,5,1/6*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c^2/d^3-1/3*(c*x^2+b*x+a)^(3/2)/c/d/(2*c*d*x+b*d)^(3/2)-1/6*(-4*a*c+b^2)^(5/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/d^(5/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(9/2),x,5,-1/14*sqrt(c*x^2+b*x+a)/c^2/d^3/(2*c*d*x+b*d)^(3/2)-1/7*(c*x^2+b*x+a)^(3/2)/c/d/(2*c*d*x+b*d)^(7/2)+1/14*(-4*a*c+b^2)^(1/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/d^(9/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(13/2),x,6,-3/154*sqrt(c*x^2+b*x+a)/c^2/d^3/(2*c*d*x+b*d)^(7/2)+1/77*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)/d^5/(2*c*d*x+b*d)^(3/2)-1/11*(c*x^2+b*x+a)^(3/2)/c/d/(2*c*d*x+b*d)^(11/2)+1/154*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/(-4*a*c+b^2)^(3/4)/d^(13/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(17/2),x,7,-1/110*sqrt(c*x^2+b*x+a)/c^2/d^3/(2*c*d*x+b*d)^(11/2)+1/385*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)/d^5/(2*c*d*x+b*d)^(7/2)+1/231*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)^2/d^7/(2*c*d*x+b*d)^(3/2)-1/15*(c*x^2+b*x+a)^(3/2)/c/d/(2*c*d*x+b*d)^(15/2)+1/462*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/(-4*a*c+b^2)^(7/4)/d^(17/2)/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(5/2)*(c*x^2+b*x+a)^(3/2),x,8,1/195*(-4*a*c+b^2)^2*d*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)/c^2-1/78*(-4*a*c+b^2)*(2*c*d*x+b*d)^(7/2)*sqrt(c*x^2+b*x+a)/c^2/d+1/13*(2*c*d*x+b*d)^(7/2)*(c*x^2+b*x+a)^(3/2)/c/d+1/130*(-4*a*c+b^2)^(15/4)*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^3/sqrt(c*x^2+b*x+a)-1/130*(-4*a*c+b^2)^(15/4)*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/sqrt(c*x^2+b*x+a),1],
[sqrt(2*c*d*x+b*d)*(c*x^2+b*x+a)^(3/2),x,7,-1/30*(-4*a*c+b^2)*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)/c^2/d+1/9*(2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^(3/2)/c/d+1/30*(-4*a*c+b^2)^(11/4)*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^3/sqrt(c*x^2+b*x+a)-1/30*(-4*a*c+b^2)^(11/4)*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(3/2),x,7,3/10*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)/c^2/d^3-(c*x^2+b*x+a)^(3/2)/c/d/sqrt(2*c*d*x+b*d)-3/10*(-4*a*c+b^2)^(7/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^3/d^(3/2)/sqrt(c*x^2+b*x+a)+3/10*(-4*a*c+b^2)^(7/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/d^(3/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(7/2),x,7,-3/10*sqrt(c*x^2+b*x+a)/c^2/d^3/sqrt(2*c*d*x+b*d)-1/5*(c*x^2+b*x+a)^(3/2)/c/d/(2*c*d*x+b*d)^(5/2)+3/10*(-4*a*c+b^2)^(3/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^3/d^(7/2)/sqrt(c*x^2+b*x+a)-3/10*(-4*a*c+b^2)^(3/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/d^(7/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(2*c*d*x+b*d)^(11/2),x,8,-1/30*sqrt(c*x^2+b*x+a)/c^2/d^3/(2*c*d*x+b*d)^(5/2)+1/15*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)/d^5/sqrt(2*c*d*x+b*d)-1/9*(c*x^2+b*x+a)^(3/2)/c/d/(2*c*d*x+b*d)^(9/2)-1/30*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^3/(-4*a*c+b^2)^(1/4)/d^(11/2)/sqrt(c*x^2+b*x+a)+1/30*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^3/(-4*a*c+b^2)^(1/4)/d^(11/2)/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(7/2)*(c*x^2+b*x+a)^(5/2),x,8,-5/8778*(-4*a*c+b^2)^4*d^3*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c^3-1/2926*(-4*a*c+b^2)^3*d*(2*c*d*x+b*d)^(5/2)*sqrt(c*x^2+b*x+a)/c^3+1/836*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(9/2)*sqrt(c*x^2+b*x+a)/c^3/d-1/114*(-4*a*c+b^2)*(2*c*d*x+b*d)^(9/2)*(c*x^2+b*x+a)^(3/2)/c^2/d+1/19*(2*c*d*x+b*d)^(9/2)*(c*x^2+b*x+a)^(5/2)/c/d-5/17556*(-4*a*c+b^2)^(21/4)*d^(7/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^(5/2),x,7,-1/462*(-4*a*c+b^2)^3*d*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c^3+1/308*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(5/2)*sqrt(c*x^2+b*x+a)/c^3/d-1/66*(-4*a*c+b^2)*(2*c*d*x+b*d)^(5/2)*(c*x^2+b*x+a)^(3/2)/c^2/d+1/15*(2*c*d*x+b*d)^(5/2)*(c*x^2+b*x+a)^(5/2)/c/d-1/924*(-4*a*c+b^2)^(17/4)*d^(3/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/sqrt(2*c*d*x+b*d),x,6,5/308*(-4*a*c+b^2)^2*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c^3/d-5/154*(-4*a*c+b^2)*sqrt(2*c*d*x+b*d)*(c*x^2+b*x+a)^(3/2)/c^2/d+1/11*sqrt(2*c*d*x+b*d)*(c*x^2+b*x+a)^(5/2)/c/d-5/308*(-4*a*c+b^2)^(13/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/sqrt(d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(5/2),x,6,-5/84*(-4*a*c+b^2)*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c^3/d^3+5/42*sqrt(2*c*d*x+b*d)*(c*x^2+b*x+a)^(3/2)/c^2/d^3-1/3*(c*x^2+b*x+a)^(5/2)/c/d/(2*c*d*x+b*d)^(3/2)+5/84*(-4*a*c+b^2)^(9/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/d^(5/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(9/2),x,6,5/84*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)/c^3/d^5-5/42*(c*x^2+b*x+a)^(3/2)/c^2/d^3/(2*c*d*x+b*d)^(3/2)-1/7*(c*x^2+b*x+a)^(5/2)/c/d/(2*c*d*x+b*d)^(7/2)-5/84*(-4*a*c+b^2)^(5/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/d^(9/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(13/2),x,6,-5/308*sqrt(c*x^2+b*x+a)/c^3/d^5/(2*c*d*x+b*d)^(3/2)-5/154*(c*x^2+b*x+a)^(3/2)/c^2/d^3/(2*c*d*x+b*d)^(7/2)-1/11*(c*x^2+b*x+a)^(5/2)/c/d/(2*c*d*x+b*d)^(11/2)+5/308*(-4*a*c+b^2)^(1/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/d^(13/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(17/2),x,7,-1/308*sqrt(c*x^2+b*x+a)/c^3/d^5/(2*c*d*x+b*d)^(7/2)+1/462*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)/d^7/(2*c*d*x+b*d)^(3/2)-1/66*(c*x^2+b*x+a)^(3/2)/c^2/d^3/(2*c*d*x+b*d)^(11/2)-1/15*(c*x^2+b*x+a)^(5/2)/c/d/(2*c*d*x+b*d)^(15/2)+1/924*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/(-4*a*c+b^2)^(3/4)/d^(17/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(21/2),x,8,-1/836*sqrt(c*x^2+b*x+a)/c^3/d^5/(2*c*d*x+b*d)^(11/2)+1/2926*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)/d^7/(2*c*d*x+b*d)^(7/2)+5/8778*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)^2/d^9/(2*c*d*x+b*d)^(3/2)-1/114*(c*x^2+b*x+a)^(3/2)/c^2/d^3/(2*c*d*x+b*d)^(15/2)-1/19*(c*x^2+b*x+a)^(5/2)/c/d/(2*c*d*x+b*d)^(19/2)+5/17556*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/(-4*a*c+b^2)^(7/4)/d^(21/2)/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(5/2)*(c*x^2+b*x+a)^(5/2),x,9,-1/1326*(-4*a*c+b^2)^3*d*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)/c^3+5/2652*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(7/2)*sqrt(c*x^2+b*x+a)/c^3/d-5/442*(-4*a*c+b^2)*(2*c*d*x+b*d)^(7/2)*(c*x^2+b*x+a)^(3/2)/c^2/d+1/17*(2*c*d*x+b*d)^(7/2)*(c*x^2+b*x+a)^(5/2)/c/d-1/884*(-4*a*c+b^2)^(19/4)*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^4/sqrt(c*x^2+b*x+a)+1/884*(-4*a*c+b^2)^(19/4)*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/sqrt(c*x^2+b*x+a),1],
[sqrt(2*c*d*x+b*d)*(c*x^2+b*x+a)^(5/2),x,8,1/156*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)/c^3/d-5/234*(-4*a*c+b^2)*(2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^(3/2)/c^2/d+1/13*(2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^(5/2)/c/d-1/156*(-4*a*c+b^2)^(15/4)*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^4/sqrt(c*x^2+b*x+a)+1/156*(-4*a*c+b^2)^(15/4)*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(3/2),x,8,-1/12*(-4*a*c+b^2)*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)/c^3/d^3+5/18*(2*c*d*x+b*d)^(3/2)*(c*x^2+b*x+a)^(3/2)/c^2/d^3-(c*x^2+b*x+a)^(5/2)/c/d/sqrt(2*c*d*x+b*d)+1/12*(-4*a*c+b^2)^(11/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^4/d^(3/2)/sqrt(c*x^2+b*x+a)-1/12*(-4*a*c+b^2)^(11/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/d^(3/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(7/2),x,8,3/20*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)/c^3/d^5-1/2*(c*x^2+b*x+a)^(3/2)/c^2/d^3/sqrt(2*c*d*x+b*d)-1/5*(c*x^2+b*x+a)^(5/2)/c/d/(2*c*d*x+b*d)^(5/2)-3/20*(-4*a*c+b^2)^(7/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^4/d^(7/2)/sqrt(c*x^2+b*x+a)+3/20*(-4*a*c+b^2)^(7/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/d^(7/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(11/2),x,8,-1/12*sqrt(c*x^2+b*x+a)/c^3/d^5/sqrt(2*c*d*x+b*d)-1/18*(c*x^2+b*x+a)^(3/2)/c^2/d^3/(2*c*d*x+b*d)^(5/2)-1/9*(c*x^2+b*x+a)^(5/2)/c/d/(2*c*d*x+b*d)^(9/2)+1/12*(-4*a*c+b^2)^(3/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^4/d^(11/2)/sqrt(c*x^2+b*x+a)-1/12*(-4*a*c+b^2)^(3/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/d^(11/2)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(2*c*d*x+b*d)^(15/2),x,9,-1/156*sqrt(c*x^2+b*x+a)/c^3/d^5/(2*c*d*x+b*d)^(5/2)+1/78*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)/d^7/sqrt(2*c*d*x+b*d)-5/234*(c*x^2+b*x+a)^(3/2)/c^2/d^3/(2*c*d*x+b*d)^(9/2)-1/13*(c*x^2+b*x+a)^(5/2)/c/d/(2*c*d*x+b*d)^(13/2)-1/156*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c^4/(-4*a*c+b^2)^(1/4)/d^(15/2)/sqrt(c*x^2+b*x+a)+1/156*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c^4/(-4*a*c+b^2)^(1/4)/d^(15/2)/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(7/2)/sqrt(c*x^2+b*x+a),x,5,20/21*(-4*a*c+b^2)*d^3*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)+4/7*d*(2*c*d*x+b*d)^(5/2)*sqrt(c*x^2+b*x+a)+10/21*(-4*a*c+b^2)^(9/4)*d^(7/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(3/2)/sqrt(c*x^2+b*x+a),x,4,4/3*d*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)+2/3*(-4*a*c+b^2)^(5/4)*d^(3/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c/sqrt(c*x^2+b*x+a),1],
[1/sqrt(2*c*d*x+b*d)/sqrt(c*x^2+b*x+a),x,3,2*(-4*a*c+b^2)^(1/4)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c/sqrt(d)/sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)^(5/2)/sqrt(c*x^2+b*x+a),x,4,4/3*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(3/2)+2/3*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c/(-4*a*c+b^2)^(3/4)/d^(5/2)/sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)^(9/2)/sqrt(c*x^2+b*x+a),x,5,4/7*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(7/2)+20/21*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d^3/(2*c*d*x+b*d)^(3/2)+10/21*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c/(-4*a*c+b^2)^(7/4)/d^(9/2)/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(9/2)/sqrt(c*x^2+b*x+a),x,7,28/45*(-4*a*c+b^2)*d^3*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)+4/9*d*(2*c*d*x+b*d)^(7/2)*sqrt(c*x^2+b*x+a)+14/15*(-4*a*c+b^2)^(11/4)*d^(9/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c/sqrt(c*x^2+b*x+a)-14/15*(-4*a*c+b^2)^(11/4)*d^(9/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(5/2)/sqrt(c*x^2+b*x+a),x,6,4/5*d*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)+6/5*(-4*a*c+b^2)^(7/4)*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c/sqrt(c*x^2+b*x+a)-6/5*(-4*a*c+b^2)^(7/4)*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c/sqrt(c*x^2+b*x+a),1],
[sqrt(2*c*d*x+b*d)/sqrt(c*x^2+b*x+a),x,5,2*(-4*a*c+b^2)^(3/4)*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c/sqrt(c*x^2+b*x+a)-2*(-4*a*c+b^2)^(3/4)*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c/sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)^(3/2)/sqrt(c*x^2+b*x+a),x,6,4*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)/d/sqrt(2*c*d*x+b*d)-2*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c/(-4*a*c+b^2)^(1/4)/d^(3/2)/sqrt(c*x^2+b*x+a)+2*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c/(-4*a*c+b^2)^(1/4)/d^(3/2)/sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)^(7/2)/sqrt(c*x^2+b*x+a),x,7,4/5*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(5/2)+12/5*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d^3/sqrt(2*c*d*x+b*d)-6/5*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/c/(-4*a*c+b^2)^(5/4)/d^(7/2)/sqrt(c*x^2+b*x+a)+6/5*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/c/(-4*a*c+b^2)^(5/4)/d^(7/2)/sqrt(c*x^2+b*x+a),1],
[(3-2*x)^(3/2)/sqrt(x^2-3*x+1),x,4,-4/3*sqrt(3-2*x)*sqrt(x^2-3*x+1)-2/3*5^(3/4)*sqrt(-x^2+3*x-1)*InverseJacobiAM(arcsin(1/5*sqrt(3-2*x)*5^(3/4)),sqrt(-1))/sqrt(x^2-3*x+1),1],
[1/sqrt(3-2*x)/sqrt(x^2-3*x+1),x,3,-2/5*5^(3/4)*sqrt(-x^2+3*x-1)*InverseJacobiAM(arcsin(1/5*sqrt(3-2*x)*5^(3/4)),sqrt(-1))/sqrt(x^2-3*x+1),1],
[1/(3-2*x)^(5/2)/sqrt(x^2-3*x+1),x,4,-4/15*sqrt(x^2-3*x+1)/(3-2*x)^(3/2)-2/75*5^(3/4)*sqrt(-x^2+3*x-1)*InverseJacobiAM(arcsin(1/5*sqrt(3-2*x)*5^(3/4)),sqrt(-1))/sqrt(x^2-3*x+1),1],
[(3-2*x)^(5/2)/sqrt(x^2-3*x+1),x,6,-4/5*(3-2*x)^(3/2)*sqrt(x^2-3*x+1)-6*5^(1/4)*sqrt(-x^2+3*x-1)*EllipticE(sin(arcsin(1/5*sqrt(3-2*x)*5^(3/4))),sqrt(-1))/sqrt(x^2-3*x+1)+6*5^(1/4)*sqrt(-x^2+3*x-1)*InverseJacobiAM(arcsin(1/5*sqrt(3-2*x)*5^(3/4)),sqrt(-1))/sqrt(x^2-3*x+1),1],
[sqrt(3-2*x)/sqrt(x^2-3*x+1),x,5,-2*5^(1/4)*sqrt(-x^2+3*x-1)*EllipticE(sin(arcsin(1/5*sqrt(3-2*x)*5^(3/4))),sqrt(-1))/sqrt(x^2-3*x+1)+2*5^(1/4)*sqrt(-x^2+3*x-1)*InverseJacobiAM(arcsin(1/5*sqrt(3-2*x)*5^(3/4)),sqrt(-1))/sqrt(x^2-3*x+1),1],
[1/(3-2*x)^(3/2)/sqrt(x^2-3*x+1),x,6,-4/5*sqrt(x^2-3*x+1)/sqrt(3-2*x)+2/5*5^(1/4)*sqrt(-x^2+3*x-1)*EllipticE(sin(arcsin(1/5*sqrt(3-2*x)*5^(3/4))),sqrt(-1))/sqrt(x^2-3*x+1)-2/5*5^(1/4)*sqrt(-x^2+3*x-1)*InverseJacobiAM(arcsin(1/5*sqrt(3-2*x)*5^(3/4)),sqrt(-1))/sqrt(x^2-3*x+1),1],
[(2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)^(3/2),x,6,-2*d*(2*c*d*x+b*d)^(9/2)/sqrt(c*x^2+b*x+a)+120/7*c*(-4*a*c+b^2)*d^5*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)+72/7*c*d^3*(2*c*d*x+b*d)^(5/2)*sqrt(c*x^2+b*x+a)+60/7*(-4*a*c+b^2)^(9/4)*d^(11/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^(3/2),x,5,-2*d*(2*c*d*x+b*d)^(5/2)/sqrt(c*x^2+b*x+a)+40/3*c*d^3*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)+20/3*(-4*a*c+b^2)^(5/4)*d^(7/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(3/2),x,4,-2*d*sqrt(2*c*d*x+b*d)/sqrt(c*x^2+b*x+a)+4*(-4*a*c+b^2)^(1/4)*d^(3/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/sqrt(c*x^2+b*x+a),1],
[1/sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^(3/2),x,4,-2*sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)/d/sqrt(c*x^2+b*x+a)-4*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(3/4)/sqrt(d)/sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(3/2),x,5,-2/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(3/2)/sqrt(c*x^2+b*x+a)-40/3*c*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d/(2*c*d*x+b*d)^(3/2)-20/3*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(7/4)/d^(5/2)/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^(3/2),x,7,-2*d*(2*c*d*x+b*d)^(7/2)/sqrt(c*x^2+b*x+a)+56/5*c*d^3*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)+84/5*(-4*a*c+b^2)^(7/4)*d^(9/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/sqrt(c*x^2+b*x+a)-84/5*(-4*a*c+b^2)^(7/4)*d^(9/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(3/2),x,6,-2*d*(2*c*d*x+b*d)^(3/2)/sqrt(c*x^2+b*x+a)+12*(-4*a*c+b^2)^(3/4)*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/sqrt(c*x^2+b*x+a)-12*(-4*a*c+b^2)^(3/4)*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/sqrt(c*x^2+b*x+a),1],
[sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^(3/2),x,6,-2*(2*c*d*x+b*d)^(3/2)/(-4*a*c+b^2)/d/sqrt(c*x^2+b*x+a)+4*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/(-4*a*c+b^2)^(1/4)/sqrt(c*x^2+b*x+a)-4*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(1/4)/sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(3/2),x,7,-2/(-4*a*c+b^2)/d/sqrt(2*c*d*x+b*d)/sqrt(c*x^2+b*x+a)-24*c*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d/sqrt(2*c*d*x+b*d)+12*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/(-4*a*c+b^2)^(5/4)/d^(3/2)/sqrt(c*x^2+b*x+a)-12*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(5/4)/d^(3/2)/sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^(3/2),x,8,-2/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(5/2)/sqrt(c*x^2+b*x+a)-56/5*c*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^2/d/(2*c*d*x+b*d)^(5/2)-168/5*c*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^3/d^3/sqrt(2*c*d*x+b*d)+84/5*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/(-4*a*c+b^2)^(9/4)/d^(7/2)/sqrt(c*x^2+b*x+a)-84/5*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(9/4)/d^(7/2)/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(15/2)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*d*(2*c*d*x+b*d)^(13/2)/(c*x^2+b*x+a)^(3/2)-52/3*c*d^3*(2*c*d*x+b*d)^(9/2)/sqrt(c*x^2+b*x+a)+1040/7*c^2*(-4*a*c+b^2)*d^7*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)+624/7*c^2*d^5*(2*c*d*x+b*d)^(5/2)*sqrt(c*x^2+b*x+a)+520/7*c*(-4*a*c+b^2)^(9/4)*d^(15/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)^(5/2),x,6,-2/3*d*(2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^(3/2)-12*c*d^3*(2*c*d*x+b*d)^(5/2)/sqrt(c*x^2+b*x+a)+80*c^2*d^5*sqrt(2*c*d*x+b*d)*sqrt(c*x^2+b*x+a)+40*c*(-4*a*c+b^2)^(5/4)*d^(11/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^(5/2),x,5,-2/3*d*(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(3/2)-20/3*c*d^3*sqrt(2*c*d*x+b*d)/sqrt(c*x^2+b*x+a)+40/3*c*(-4*a*c+b^2)^(1/4)*d^(7/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(5/2),x,5,-2/3*d*sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^(3/2)-4/3*c*d*sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)-8/3*c*d^(3/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(3/4)/sqrt(c*x^2+b*x+a),1],
[1/sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^(5/2),x,5,-2/3*sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)/d/(c*x^2+b*x+a)^(3/2)+20/3*c*sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^2/d/sqrt(c*x^2+b*x+a)+40/3*c*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(7/4)/sqrt(d)/sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(5/2),x,6,-2/3/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(3/2)+12*c/(-4*a*c+b^2)^2/d/(2*c*d*x+b*d)^(3/2)/sqrt(c*x^2+b*x+a)+80*c^2*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^3/d/(2*c*d*x+b*d)^(3/2)+40*c*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(11/4)/d^(5/2)/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(13/2)/(c*x^2+b*x+a)^(5/2),x,8,-2/3*d*(2*c*d*x+b*d)^(11/2)/(c*x^2+b*x+a)^(3/2)-44/3*c*d^3*(2*c*d*x+b*d)^(7/2)/sqrt(c*x^2+b*x+a)+1232/15*c^2*d^5*(2*c*d*x+b*d)^(3/2)*sqrt(c*x^2+b*x+a)+616/5*c*(-4*a*c+b^2)^(7/4)*d^(13/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/sqrt(c*x^2+b*x+a)-616/5*c*(-4*a*c+b^2)^(7/4)*d^(13/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(9/2)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*d*(2*c*d*x+b*d)^(7/2)/(c*x^2+b*x+a)^(3/2)-28/3*c*d^3*(2*c*d*x+b*d)^(3/2)/sqrt(c*x^2+b*x+a)+56*c*(-4*a*c+b^2)^(3/4)*d^(9/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/sqrt(c*x^2+b*x+a)-56*c*(-4*a*c+b^2)^(3/4)*d^(9/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/sqrt(c*x^2+b*x+a),1],
[(2*c*d*x+b*d)^(5/2)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*d*(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(3/2)-4*c*d*(2*c*d*x+b*d)^(3/2)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+8*c*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/(-4*a*c+b^2)^(1/4)/sqrt(c*x^2+b*x+a)-8*c*d^(5/2)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(1/4)/sqrt(c*x^2+b*x+a),1],
[sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*(2*c*d*x+b*d)^(3/2)/(-4*a*c+b^2)/d/(c*x^2+b*x+a)^(3/2)+4*c*(2*c*d*x+b*d)^(3/2)/(-4*a*c+b^2)^2/d/sqrt(c*x^2+b*x+a)-8*c*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/(-4*a*c+b^2)^(5/4)/sqrt(c*x^2+b*x+a)+8*c*sqrt(d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(5/4)/sqrt(c*x^2+b*x+a),1],
[1/(2*c*d*x+b*d)^(3/2)/(c*x^2+b*x+a)^(5/2),x,8,-2/3/(-4*a*c+b^2)/d/sqrt(2*c*d*x+b*d)/(c*x^2+b*x+a)^(3/2)+28/3*c/(-4*a*c+b^2)^2/d/sqrt(2*c*d*x+b*d)/sqrt(c*x^2+b*x+a)+112*c^2*sqrt(c*x^2+b*x+a)/(-4*a*c+b^2)^3/d/sqrt(2*c*d*x+b*d)-56*c*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d))),sqrt(-1))/(-4*a*c+b^2)^(9/4)/d^(3/2)/sqrt(c*x^2+b*x+a)+56*c*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(2*c*d*x+b*d)/(-4*a*c+b^2)^(1/4)/sqrt(d)),sqrt(-1))/(-4*a*c+b^2)^(9/4)/d^(3/2)/sqrt(c*x^2+b*x+a),1],
[(d*e*x+c*e)^(11/2)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,5,-30/77*e^5*sqrt(d*e*x+c*e)*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d-18/77*e^3*(d*e*x+c*e)^(5/2)*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d-2/11*e*(d*e*x+c*e)^(9/2)*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d+30/77*e^(11/2)*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d,1],
[(d*e*x+c*e)^(7/2)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,4,-10/21*e^3*sqrt(d*e*x+c*e)*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d-2/7*e*(d*e*x+c*e)^(5/2)*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d+10/21*e^(7/2)*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d,1],
[(d*e*x+c*e)^(3/2)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,3,-2/3*e*sqrt(d*e*x+c*e)*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d+2/3*e^(3/2)*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d,1],
[1/sqrt(d*e*x+c*e)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,2,2*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d/sqrt(e),1],
[1/(d*e*x+c*e)^(5/2)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,3,-2/3*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d/e/(d*e*x+c*e)^(3/2)+2/3*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d/e^(5/2),1],
[1/(d*e*x+c*e)^(9/2)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,4,-2/7*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d/e/(d*e*x+c*e)^(7/2)-10/21*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d/e^3/(d*e*x+c*e)^(3/2)+10/21*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d/e^(9/2),1],
[1/(d*e*x+c*e)^(13/2)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,5,-2/11*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d/e/(d*e*x+c*e)^(11/2)-18/77*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d/e^3/(d*e*x+c*e)^(7/2)-30/77*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d/e^5/(d*e*x+c*e)^(3/2)+30/77*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d/e^(13/2),1],
[(d*e*x+c*e)^(9/2)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,6,-14/45*e^3*(d*e*x+c*e)^(3/2)*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d-2/9*e*(d*e*x+c*e)^(7/2)*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d+14/15*e^(9/2)*EllipticE(sin(arcsin(sqrt(d*e*x+c*e)/sqrt(e))),sqrt(-1))/d-14/15*e^(9/2)*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d,1],
[(d*e*x+c*e)^(5/2)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,5,-2/5*e*(d*e*x+c*e)^(3/2)*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d+6/5*e^(5/2)*EllipticE(sin(arcsin(sqrt(d*e*x+c*e)/sqrt(e))),sqrt(-1))/d-6/5*e^(5/2)*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d,1],
[sqrt(d*e*x+c*e)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,4,2*sqrt(e)*EllipticE(sin(arcsin(sqrt(d*e*x+c*e)/sqrt(e))),sqrt(-1))/d-2*sqrt(e)*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d,1],
[1/(d*e*x+c*e)^(3/2)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,5,-2*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d/e/sqrt(d*e*x+c*e)-2*EllipticE(sin(arcsin(sqrt(d*e*x+c*e)/sqrt(e))),sqrt(-1))/d/e^(3/2)+2*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d/e^(3/2),1],
[1/(d*e*x+c*e)^(7/2)/sqrt(-d^2*x^2-2*c*d*x-c^2+1),x,6,-2/5*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d/e/(d*e*x+c*e)^(5/2)-6/5*sqrt(-d^2*x^2-2*c*d*x-c^2+1)/d/e^3/sqrt(d*e*x+c*e)-6/5*EllipticE(sin(arcsin(sqrt(d*e*x+c*e)/sqrt(e))),sqrt(-1))/d/e^(7/2)+6/5*InverseJacobiAM(arcsin(sqrt(d*e*x+c*e)/sqrt(e)),sqrt(-1))/d/e^(7/2),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(11/3),x,8,-3/16*(2*c*d*x+b*d)^(4/3)*(c*x^2+b*x+a)^(1/3)/c^2/(-4*a*c+b^2)/d^5+9/16*(2*c*d*x+b*d)^(4/3)*(c*x^2+b*x+a)^(4/3)/c/(-4*a*c+b^2)^2/d^5+3/4*(c*x^2+b*x+a)^(7/3)/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(8/3)-9/4*(c*x^2+b*x+a)^(7/3)/(-4*a*c+b^2)^2/d^3/(2*c*d*x+b*d)^(2/3)-1/32*sqrt(3)*arctan((1+2^(1/3)*(2*c*d*x+b*d)^(2/3)/c^(1/3)/d^(2/3)/(c*x^2+b*x+a)^(1/3))/sqrt(3))*2^(1/3)/c^(7/3)/d^(11/3)-3/64*ln((2*c*d*x+b*d)^(2/3)-2^(2/3)*c^(1/3)*d^(2/3)*(c*x^2+b*x+a)^(1/3))*2^(1/3)/c^(7/3)/d^(11/3),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(17/3),x,1,3/7*(c*x^2+b*x+a)^(7/3)/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(14/3),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(23/3),x,2,3/10*(c*x^2+b*x+a)^(7/3)/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(20/3)+9/70*(c*x^2+b*x+a)^(7/3)/(-4*a*c+b^2)^2/d^3/(2*c*d*x+b*d)^(14/3),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(29/3),x,3,3/13*(c*x^2+b*x+a)^(7/3)/(-4*a*c+b^2)/d/(2*c*d*x+b*d)^(26/3)+9/65*(c*x^2+b*x+a)^(7/3)/(-4*a*c+b^2)^2/d^3/(2*c*d*x+b*d)^(20/3)+27/455*(c*x^2+b*x+a)^(7/3)/(-4*a*c+b^2)^3/d^5/(2*c*d*x+b*d)^(14/3),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(2/3),x,6,-1/9*(-4*a*c+b^2)*(2*c*d*x+b*d)^(1/3)*(c*x^2+b*x+a)^(1/3)/c^2/d+1/6*(2*c*d*x+b*d)^(1/3)*(c*x^2+b*x+a)^(4/3)/c/d+1/216*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(1/3)*(2*c^(1/3)*d^(2/3)-2^(1/3)*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))*sqrt((2*2^(1/3)*c^(2/3)*d^(4/3)+(2*c*d*x+b*d)^(4/3)/(c*x^2+b*x+a)^(2/3)+2^(2/3)*c^(1/3)*d^(2/3)*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))^2)*InverseJacobiAM(arccos((2^(2/3)*c^(1/3)*d^(2/3)-(1-sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))),sqrt(1/2+1/4*sqrt(3)))*3^(3/4)/c^(10/3)/d^(5/3)/(c*x^2+b*x+a)^(2/3)/sqrt((-4*a*c+b^2)/(b^2-4*a*c-(2*c*x+b)^2))/sqrt(-(2*c*d*x+b*d)^(2/3)*(2^(2/3)*c^(1/3)*d^(2/3)-(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(c*x^2+b*x+a)^(1/3)/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))^2)/sqrt(1+(2*c*x+b)^2/(b^2-4*a*c-(2*c*x+b)^2)),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(8/3),x,6,1/5*(2*c*d*x+b*d)^(1/3)*(c*x^2+b*x+a)^(1/3)/c^2/d^3-3/10*(c*x^2+b*x+a)^(4/3)/c/d/(2*c*d*x+b*d)^(5/3)-1/120*(-4*a*c+b^2)*(2*c*d*x+b*d)^(1/3)*(2*c^(1/3)*d^(2/3)-2^(1/3)*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))*sqrt((2*2^(1/3)*c^(2/3)*d^(4/3)+(2*c*d*x+b*d)^(4/3)/(c*x^2+b*x+a)^(2/3)+2^(2/3)*c^(1/3)*d^(2/3)*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))^2)*InverseJacobiAM(arccos((2^(2/3)*c^(1/3)*d^(2/3)-(1-sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))),sqrt(1/2+1/4*sqrt(3)))*3^(3/4)/c^(10/3)/d^(11/3)/(c*x^2+b*x+a)^(2/3)/sqrt((-4*a*c+b^2)/(b^2-4*a*c-(2*c*x+b)^2))/sqrt(-(2*c*d*x+b*d)^(2/3)*(2^(2/3)*c^(1/3)*d^(2/3)-(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(c*x^2+b*x+a)^(1/3)/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))^2)/sqrt(1+(2*c*x+b)^2/(b^2-4*a*c-(2*c*x+b)^2)),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(14/3),x,6,-3/55*(c*x^2+b*x+a)^(1/3)/c^2/d^3/(2*c*d*x+b*d)^(5/3)-3/22*(c*x^2+b*x+a)^(4/3)/c/d/(2*c*d*x+b*d)^(11/3)+1/440*3^(3/4)*(2*c*d*x+b*d)^(1/3)*(2*c^(1/3)*d^(2/3)-2^(1/3)*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))*sqrt((2*2^(1/3)*c^(2/3)*d^(4/3)+(2*c*d*x+b*d)^(4/3)/(c*x^2+b*x+a)^(2/3)+2^(2/3)*c^(1/3)*d^(2/3)*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))^2)*InverseJacobiAM(arccos((2^(2/3)*c^(1/3)*d^(2/3)-(1-sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))),sqrt(1/2+1/4*sqrt(3)))/c^(10/3)/d^(17/3)/(c*x^2+b*x+a)^(2/3)/sqrt((-4*a*c+b^2)/(b^2-4*a*c-(2*c*x+b)^2))/sqrt(-(2*c*d*x+b*d)^(2/3)*(2^(2/3)*c^(1/3)*d^(2/3)-(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(c*x^2+b*x+a)^(1/3)/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))^2)/sqrt(1+(2*c*x+b)^2/(b^2-4*a*c-(2*c*x+b)^2)),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(20/3),x,7,-3/187*(c*x^2+b*x+a)^(1/3)/c^2/d^3/(2*c*d*x+b*d)^(11/3)+6/935*(c*x^2+b*x+a)^(1/3)/c^2/(-4*a*c+b^2)/d^5/(2*c*d*x+b*d)^(5/3)-3/34*(c*x^2+b*x+a)^(4/3)/c/d/(2*c*d*x+b*d)^(17/3)+3/7480*3^(3/4)*(2*c*d*x+b*d)^(1/3)*(2*c^(1/3)*d^(2/3)-2^(1/3)*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))*sqrt((2*2^(1/3)*c^(2/3)*d^(4/3)+(2*c*d*x+b*d)^(4/3)/(c*x^2+b*x+a)^(2/3)+2^(2/3)*c^(1/3)*d^(2/3)*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))^2)*InverseJacobiAM(arccos((2^(2/3)*c^(1/3)*d^(2/3)-(1-sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))),sqrt(1/2+1/4*sqrt(3)))/c^(10/3)/(-4*a*c+b^2)/d^(23/3)/(c*x^2+b*x+a)^(2/3)/sqrt((-4*a*c+b^2)/(b^2-4*a*c-(2*c*x+b)^2))/sqrt(-(2*c*d*x+b*d)^(2/3)*(2^(2/3)*c^(1/3)*d^(2/3)-(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))/(c*x^2+b*x+a)^(1/3)/(2^(2/3)*c^(1/3)*d^(2/3)-(1+sqrt(3))*(2*c*d*x+b*d)^(2/3)/(c*x^2+b*x+a)^(1/3))^2)/sqrt(1+(2*c*x+b)^2/(b^2-4*a*c-(2*c*x+b)^2)),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(4/3),x,3,3/8*(-4*a*c+b^2)*(c*x^2+b*x+a)^(1/3)*hypergeom([-4/3, -1/6],[5/6],(2*c*x+b)^2/(-4*a*c+b^2))/c^2/d/(2*c*d*x+b*d)^(1/3)/(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/3),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(10/3),x,3,3/56*(-4*a*c+b^2)*(c*x^2+b*x+a)^(1/3)*hypergeom([-4/3, -7/6],[-1/6],(2*c*x+b)^2/(-4*a*c+b^2))/c^2/d/(2*c*d*x+b*d)^(7/3)/(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/3),1],
[(c*x^2+b*x+a)^(4/3)/(2*c*d*x+b*d)^(16/3),x,3,3/104*(-4*a*c+b^2)*(c*x^2+b*x+a)^(1/3)*hypergeom([-13/6, -4/3],[-7/6],(2*c*x+b)^2/(-4*a*c+b^2))/c^2/d/(2*c*d*x+b*d)^(13/3)/(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/3),1],
[(2*c*d*x+b*d)^m*(c*x^2+b*x+a)^3,x,2,-1/128*(-4*a*c+b^2)^3*(2*c*d*x+b*d)^(1+m)/c^4/d/(1+m)+3/128*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(3+m)/c^4/d^3/(3+m)-3/128*(-4*a*c+b^2)*(2*c*d*x+b*d)^(5+m)/c^4/d^5/(5+m)+1/128*(2*c*d*x+b*d)^(7+m)/c^4/d^7/(7+m),1],
[(2*c*d*x+b*d)^m*(c*x^2+b*x+a)^2,x,2,1/32*(-4*a*c+b^2)^2*(2*c*d*x+b*d)^(1+m)/c^3/d/(1+m)-1/16*(-4*a*c+b^2)*(2*c*d*x+b*d)^(3+m)/c^3/d^3/(3+m)+1/32*(2*c*d*x+b*d)^(5+m)/c^3/d^5/(5+m),1],
[(2*c*d*x+b*d)^m*(c*x^2+b*x+a),x,2,-1/8*(-4*a*c+b^2)*(2*c*d*x+b*d)^(1+m)/c^2/d/(1+m)+1/8*(2*c*d*x+b*d)^(3+m)/c^2/d^3/(3+m),1],
[(2*c*d*x+b*d)^m/(c*x^2+b*x+a),x,2,-2*(2*c*d*x+b*d)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d/(1+m),1],
[(2*c*d*x+b*d)^m/(c*x^2+b*x+a)^2,x,2,8*c*(2*c*d*x+b*d)^(1+m)*hypergeom([2, 1/2+1/2*m],[3/2+1/2*m],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)^2/d/(1+m),1],
[(2*c*d*x+b*d)^m/(c*x^2+b*x+a)^3,x,2,-32*c^2*(2*c*d*x+b*d)^(1+m)*hypergeom([3, 1/2+1/2*m],[3/2+1/2*m],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)^3/d/(1+m),1],
[(2*c*d*x+b*d)^m*(c*x^2+b*x+a)^(5/2),x,3,-2*(2*c*d*x+b*d)^(1+m)*(c*x^2+b*x+a)^(7/2)*hypergeom([1, 4+1/2*m],[3/2+1/2*m],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d/(1+m),1],
[(2*c*d*x+b*d)^m*(c*x^2+b*x+a)^(3/2),x,3,-1/16*(2*c*d*x+b*d)^(1+m)*(4*a-b^2/c+(2*c*x+b)^2/c)^(5/2)*hypergeom([1, 3+1/2*m],[3/2+1/2*m],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d/(1+m),1],
[(2*c*d*x+b*d)^m*sqrt(c*x^2+b*x+a),x,3,-1/4*(2*c*d*x+b*d)^(1+m)*(4*a-b^2/c+(2*c*x+b)^2/c)^(3/2)*hypergeom([1, 2+1/2*m],[3/2+1/2*m],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d/(1+m),1],
[(2*c*d*x+b*d)^m/sqrt(c*x^2+b*x+a),x,3,-(2*c*d*x+b*d)^(1+m)*sqrt(4*a-b^2/c+(2*c*x+b)^2/c)*hypergeom([1, 1+1/2*m],[3/2+1/2*m],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d/(1+m),1],
[(2*c*d*x+b*d)^m/(c*x^2+b*x+a)^(3/2),x,3,-4*(2*c*d*x+b*d)^(1+m)*hypergeom([1, 1/2*m],[3/2+1/2*m],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d/(1+m)/sqrt(4*a-b^2/c+(2*c*x+b)^2/c),1],
[(2*c*d*x+b*d)^m/(c*x^2+b*x+a)^(5/2),x,3,-16*(2*c*d*x+b*d)^(1+m)*hypergeom([1, -1+1/2*m],[3/2+1/2*m],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d/(1+m)/(4*a-b^2/c+(2*c*x+b)^2/c)^(3/2),1],
[(2*c*d*x+b*d)^m*(c*x^2+b*x+a)^p,x,3,-2*(2*c*d*x+b*d)^(1+m)*(a-1/4*b^2/c+1/4*(2*c*x+b)^2/c)^(p+1)*hypergeom([1, 3/2+1/2*m+p],[3/2+1/2*m],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d/(1+m),1],
[(2*c*d*x+b*d)^5*(c*x^2+b*x+a)^p,x,3,2*(-4*a*c+b^2)^2*d^5*(c*x^2+b*x+a)^(p+1)/(p+1)/(2+p)/(3+p)+2*(-4*a*c+b^2)*d^5*(2*c*x+b)^2*(c*x^2+b*x+a)^(p+1)/(2+p)/(3+p)+d^5*(2*c*x+b)^4*(c*x^2+b*x+a)^(p+1)/(3+p),1],
[(2*c*d*x+b*d)^3*(c*x^2+b*x+a)^p,x,2,(-4*a*c+b^2)*d^3*(c*x^2+b*x+a)^(p+1)/(p+1)/(2+p)+d^3*(2*c*x+b)^2*(c*x^2+b*x+a)^(p+1)/(2+p),1],
[(2*c*d*x+b*d)*(c*x^2+b*x+a)^p,x,1,d*(c*x^2+b*x+a)^(p+1)/(p+1),1],
[(c*x^2+b*x+a)^p/(2*c*d*x+b*d),x,3,(c*x^2+b*x+a)^(p+1)*hypergeom([1, p+1],[2+p],1-(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d/(p+1),1],
[(c*x^2+b*x+a)^p/(2*c*d*x+b*d)^3,x,3,(c*x^2+b*x+a)^(p+1)*hypergeom([2, p+1],[2+p],1-(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)^2/d^3/(p+1),1],
[(c*x^2+b*x+a)^p/(2*c*d*x+b*d)^5,x,3,(c*x^2+b*x+a)^(p+1)*hypergeom([3, p+1],[2+p],1-(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)^3/d^5/(p+1),1],
[(2*c*d*x+b*d)^4*(c*x^2+b*x+a)^p,x,3,-2*d^4*(2*c*x+b)^5*(a-1/4*b^2/c+1/4*(2*c*x+b)^2/c)^(p+1)*hypergeom([1, 7/2+p],[7/2],(2*c*x+b)^2/(-4*a*c+b^2))/(-20*a*c+5*b^2),1],
[(2*c*d*x+b*d)^2*(c*x^2+b*x+a)^p,x,3,-2*d^2*(2*c*x+b)^3*(a-1/4*b^2/c+1/4*(2*c*x+b)^2/c)^(p+1)*hypergeom([1, 5/2+p],[5/2],(2*c*x+b)^2/(-4*a*c+b^2))/(-12*a*c+3*b^2),1],
[(c*x^2+b*x+a)^p/(2*c*d*x+b*d)^2,x,3,2*(a-1/4*b^2/c+1/4*(2*c*x+b)^2/c)^(p+1)*hypergeom([1, 1/2+p],[1/2],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d^2/(2*c*x+b),1],
[(c*x^2+b*x+a)^p/(2*c*d*x+b*d)^4,x,3,2/3*(a-1/4*b^2/c+1/4*(2*c*x+b)^2/c)^(p+1)*hypergeom([1, -1/2+p],[-1/2],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d^4/(2*c*x+b)^3,1],
[(c*x^2+b*x+a)^p/(2*c*d*x+b*d)^6,x,3,2/5*(a-1/4*b^2/c+1/4*(2*c*x+b)^2/c)^(p+1)*hypergeom([1, -3/2+p],[-3/2],(2*c*x+b)^2/(-4*a*c+b^2))/(-4*a*c+b^2)/d^6/(2*c*x+b)^5,1],
[(1+x)/(x^2+2*x-3)^(2/3),x,1,3/2*(x^2+2*x-3)^(1/3),1],
[(c*x+b)/(c*x^2+2*b*x+a)^(3/7),x,1,7/8*(c*x^2+2*b*x+a)^(4/7),1],
[(f*x+e)^4/(a*c+(a*d+b*c)*x+b*d*x^2),x,2,f^2*(a^2*d^2*f^2-a*b*d*f*(-c*f+4*d*e)+b^2*(c^2*f^2-4*c*d*e*f+6*d^2*e^2))*x/b^3/d^3+1/2*f^3*(-a*d*f-b*c*f+4*b*d*e)*x^2/b^2/d^2+1/3*f^4*x^3/b/d+(-a*f+b*e)^4*ln(b*x+a)/b^4/(-a*d+b*c)-(-c*f+d*e)^4*ln(d*x+c)/d^4/(-a*d+b*c),1],
[(f*x+e)^3/(a*c+(a*d+b*c)*x+b*d*x^2),x,2,f^2*(-a*d*f-b*c*f+3*b*d*e)*x/b^2/d^2+1/2*f^3*x^2/b/d+(-a*f+b*e)^3*ln(b*x+a)/b^3/(-a*d+b*c)-(-c*f+d*e)^3*ln(d*x+c)/d^3/(-a*d+b*c),1],
[(f*x+e)^2/(a*c+(a*d+b*c)*x+b*d*x^2),x,2,f^2*x/b/d+(-a*f+b*e)^2*ln(b*x+a)/b^2/(-a*d+b*c)-(-c*f+d*e)^2*ln(d*x+c)/d^2/(-a*d+b*c),1],
[(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2),x,2,(-a*f+b*e)*ln(b*x+a)/b/(-a*d+b*c)-(-c*f+d*e)*ln(d*x+c)/d/(-a*d+b*c),1],
[1/(a*c+(a*d+b*c)*x+b*d*x^2),x,2,ln(b*x+a)/(-a*d+b*c)-ln(d*x+c)/(-a*d+b*c),1],
[1/(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2),x,2,b*ln(b*x+a)/(-a*d+b*c)/(-a*f+b*e)-d*ln(d*x+c)/(-a*d+b*c)/(-c*f+d*e)+f*ln(f*x+e)/(-a*f+b*e)/(-c*f+d*e),1],
[1/(f*x+e)^2/(a*c+(a*d+b*c)*x+b*d*x^2),x,2,-f/(-a*f+b*e)/(-c*f+d*e)/(f*x+e)+b^2*ln(b*x+a)/(-a*d+b*c)/(-a*f+b*e)^2-d^2*ln(d*x+c)/(-a*d+b*c)/(-c*f+d*e)^2+f*(-a*d*f-b*c*f+2*b*d*e)*ln(f*x+e)/(-a*f+b*e)^2/(-c*f+d*e)^2,1],
[1/(f*x+e)^3/(a*c+(a*d+b*c)*x+b*d*x^2),x,2,-1/2*f/(-a*f+b*e)/(-c*f+d*e)/(f*x+e)^2-f*(-a*d*f-b*c*f+2*b*d*e)/(-a*f+b*e)^2/(-c*f+d*e)^2/(f*x+e)+b^3*ln(b*x+a)/(-a*d+b*c)/(-a*f+b*e)^3-d^3*ln(d*x+c)/(-a*d+b*c)/(-c*f+d*e)^3+f*(a^2*d^2*f^2-a*b*d*f*(-c*f+3*d*e)+b^2*(c^2*f^2-3*c*d*e*f+3*d^2*e^2))*ln(f*x+e)/(-a*f+b*e)^3/(-c*f+d*e)^3,1],
[(f*x+e)^5/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,f^4*(-2*a*d*f-2*b*c*f+5*b*d*e)*x/b^3/d^3+1/2*f^5*x^2/b^2/d^2-(-a*f+b*e)^5/b^4/(-a*d+b*c)^2/(b*x+a)-(-c*f+d*e)^5/d^4/(-a*d+b*c)^2/(d*x+c)-(-a*f+b*e)^4*(3*a*d*f-5*b*c*f+2*b*d*e)*ln(b*x+a)/b^4/(-a*d+b*c)^3+(-c*f+d*e)^4*(-5*a*d*f+3*b*c*f+2*b*d*e)*ln(d*x+c)/d^4/(-a*d+b*c)^3,1],
[(f*x+e)^4/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,f^4*x/b^2/d^2-(-a*f+b*e)^4/b^3/(-a*d+b*c)^2/(b*x+a)-(-c*f+d*e)^4/d^3/(-a*d+b*c)^2/(d*x+c)-2*(-a*f+b*e)^3*(a*d*f-2*b*c*f+b*d*e)*ln(b*x+a)/b^3/(-a*d+b*c)^3+2*(-c*f+d*e)^3*(-2*a*d*f+b*c*f+b*d*e)*ln(d*x+c)/d^3/(-a*d+b*c)^3,1],
[(f*x+e)^3/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,-(-a*f+b*e)^3/b^2/(-a*d+b*c)^2/(b*x+a)-(-c*f+d*e)^3/d^2/(-a*d+b*c)^2/(d*x+c)-(-a*f+b*e)^2*(a*d*f-3*b*c*f+2*b*d*e)*ln(b*x+a)/b^2/(-a*d+b*c)^3+(-c*f+d*e)^2*(-3*a*d*f+b*c*f+2*b*d*e)*ln(d*x+c)/d^2/(-a*d+b*c)^3,1],
[(f*x+e)^2/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,-(-a*f+b*e)^2/b/(-a*d+b*c)^2/(b*x+a)-(-c*f+d*e)^2/d/(-a*d+b*c)^2/(d*x+c)-2*(-a*f+b*e)*(-c*f+d*e)*ln(b*x+a)/(-a*d+b*c)^3+2*(-a*f+b*e)*(-c*f+d*e)*ln(d*x+c)/(-a*d+b*c)^3,1],
[(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,-(-a*f+b*e)/(-a*d+b*c)^2/(b*x+a)-(-c*f+d*e)/(-a*d+b*c)^2/(d*x+c)-(-a*d*f-b*c*f+2*b*d*e)*ln(b*x+a)/(-a*d+b*c)^3+(-a*d*f-b*c*f+2*b*d*e)*ln(d*x+c)/(-a*d+b*c)^3,1],
[1/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,-b/(-a*d+b*c)^2/(b*x+a)-d/(-a*d+b*c)^2/(d*x+c)-2*b*d*ln(b*x+a)/(-a*d+b*c)^3+2*b*d*ln(d*x+c)/(-a*d+b*c)^3,1],
[1/(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,-b^2/(-a*d+b*c)^2/(-a*f+b*e)/(b*x+a)-d^2/(-a*d+b*c)^2/(-c*f+d*e)/(d*x+c)-b^2*(-3*a*d*f+b*c*f+2*b*d*e)*ln(b*x+a)/(-a*d+b*c)^3/(-a*f+b*e)^2+d^2*(a*d*f-3*b*c*f+2*b*d*e)*ln(d*x+c)/(-a*d+b*c)^3/(-c*f+d*e)^2+f^3*ln(f*x+e)/(-a*f+b*e)^2/(-c*f+d*e)^2,1],
[1/(f*x+e)^2/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,-b^3/(-a*d+b*c)^2/(-a*f+b*e)^2/(b*x+a)-d^3/(-a*d+b*c)^2/(-c*f+d*e)^2/(d*x+c)-f^3/(-a*f+b*e)^2/(-c*f+d*e)^2/(f*x+e)-2*b^3*(-2*a*d*f+b*c*f+b*d*e)*ln(b*x+a)/(-a*d+b*c)^3/(-a*f+b*e)^3+2*d^3*(a*d*f-2*b*c*f+b*d*e)*ln(d*x+c)/(-a*d+b*c)^3/(-c*f+d*e)^3+2*f^3*(-a*d*f-b*c*f+2*b*d*e)*ln(f*x+e)/(-a*f+b*e)^3/(-c*f+d*e)^3,1],
[1/(f*x+e)^3/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,-b^4/(-a*d+b*c)^2/(-a*f+b*e)^3/(b*x+a)-d^4/(-a*d+b*c)^2/(-c*f+d*e)^3/(d*x+c)-1/2*f^3/(-a*f+b*e)^2/(-c*f+d*e)^2/(f*x+e)^2-2*f^3*(-a*d*f-b*c*f+2*b*d*e)/(-a*f+b*e)^3/(-c*f+d*e)^3/(f*x+e)-b^4*(-5*a*d*f+3*b*c*f+2*b*d*e)*ln(b*x+a)/(-a*d+b*c)^3/(-a*f+b*e)^4+d^4*(3*a*d*f-5*b*c*f+2*b*d*e)*ln(d*x+c)/(-a*d+b*c)^3/(-c*f+d*e)^4+f^3*(3*a^2*d^2*f^2-2*a*b*d*f*(-2*c*f+5*d*e)+b^2*(3*c^2*f^2-10*c*d*e*f+10*d^2*e^2))*ln(f*x+e)/(-a*f+b*e)^4/(-c*f+d*e)^4,1],
[(f*x+e)^7/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,f^6*(-3*a*d*f-3*b*c*f+7*b*d*e)*x/b^4/d^4+1/2*f^7*x^2/b^3/d^3-1/2*(-a*f+b*e)^7/b^5/(-a*d+b*c)^3/(b*x+a)^2+(-a*f+b*e)^6*(4*a*d*f-7*b*c*f+3*b*d*e)/b^5/(-a*d+b*c)^4/(b*x+a)+1/2*(-c*f+d*e)^7/d^5/(-a*d+b*c)^3/(d*x+c)^2+(-c*f+d*e)^6*(-7*a*d*f+4*b*c*f+3*b*d*e)/d^5/(-a*d+b*c)^4/(d*x+c)+3*(-a*f+b*e)^5*(2*a^2*d^2*f^2+a*b*d*f*(-7*c*f+3*d*e)+b^2*(7*c^2*f^2-7*c*d*e*f+2*d^2*e^2))*ln(b*x+a)/b^5/(-a*d+b*c)^5-3*(-c*f+d*e)^5*(7*a^2*d^2*f^2-7*a*b*d*f*(c*f+d*e)+b^2*(2*c^2*f^2+3*c*d*e*f+2*d^2*e^2))*ln(d*x+c)/d^5/(-a*d+b*c)^5,1],
[(f*x+e)^6/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,f^6*x/b^3/d^3-1/2*(-a*f+b*e)^6/b^4/(-a*d+b*c)^3/(b*x+a)^2+3*(-a*f+b*e)^5*(a*d*f-2*b*c*f+b*d*e)/b^4/(-a*d+b*c)^4/(b*x+a)+1/2*(-c*f+d*e)^6/d^4/(-a*d+b*c)^3/(d*x+c)^2+3*(-c*f+d*e)^5*(-2*a*d*f+b*c*f+b*d*e)/d^4/(-a*d+b*c)^4/(d*x+c)+3*(-a*f+b*e)^4*(a^2*d^2*f^2+2*a*b*d*f*(-2*c*f+d*e)+b^2*(5*c^2*f^2-6*c*d*e*f+2*d^2*e^2))*ln(b*x+a)/b^4/(-a*d+b*c)^5-3*(-c*f+d*e)^4*(5*a^2*d^2*f^2-2*a*b*d*f*(2*c*f+3*d*e)+b^2*(c^2*f^2+2*c*d*e*f+2*d^2*e^2))*ln(d*x+c)/d^4/(-a*d+b*c)^5,1],
[(f*x+e)^5/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/2*(-a*f+b*e)^5/b^3/(-a*d+b*c)^3/(b*x+a)^2+(-a*f+b*e)^4*(2*a*d*f-5*b*c*f+3*b*d*e)/b^3/(-a*d+b*c)^4/(b*x+a)+1/2*(-c*f+d*e)^5/d^3/(-a*d+b*c)^3/(d*x+c)^2+(-c*f+d*e)^4*(-5*a*d*f+2*b*c*f+3*b*d*e)/d^3/(-a*d+b*c)^4/(d*x+c)+(-a*f+b*e)^3*(a^2*d^2*f^2+a*b*d*f*(-5*c*f+3*d*e)+b^2*(10*c^2*f^2-15*c*d*e*f+6*d^2*e^2))*ln(b*x+a)/b^3/(-a*d+b*c)^5-(-c*f+d*e)^3*(10*a^2*d^2*f^2-5*a*b*d*f*(c*f+3*d*e)+b^2*(c^2*f^2+3*c*d*e*f+6*d^2*e^2))*ln(d*x+c)/d^3/(-a*d+b*c)^5,1],
[(f*x+e)^4/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/2*(-a*f+b*e)^4/b^2/(-a*d+b*c)^3/(b*x+a)^2+(-a*f+b*e)^3*(a*d*f-4*b*c*f+3*b*d*e)/b^2/(-a*d+b*c)^4/(b*x+a)+1/2*(-c*f+d*e)^4/d^2/(-a*d+b*c)^3/(d*x+c)^2+(-c*f+d*e)^3*(-4*a*d*f+b*c*f+3*b*d*e)/d^2/(-a*d+b*c)^4/(d*x+c)+6*(-a*f+b*e)^2*(-c*f+d*e)^2*ln(b*x+a)/(-a*d+b*c)^5-6*(-a*f+b*e)^2*(-c*f+d*e)^2*ln(d*x+c)/(-a*d+b*c)^5,1],
[(f*x+e)^3/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/2*(-a*f+b*e)^3/b/(-a*d+b*c)^3/(b*x+a)^2+3*(-a*f+b*e)^2*(-c*f+d*e)/(-a*d+b*c)^4/(b*x+a)+1/2*(-c*f+d*e)^3/d/(-a*d+b*c)^3/(d*x+c)^2+3*(-a*f+b*e)*(-c*f+d*e)^2/(-a*d+b*c)^4/(d*x+c)+3*(-a*f+b*e)*(-c*f+d*e)*(-a*d*f-b*c*f+2*b*d*e)*ln(b*x+a)/(-a*d+b*c)^5-3*(-a*f+b*e)*(-c*f+d*e)*(-a*d*f-b*c*f+2*b*d*e)*ln(d*x+c)/(-a*d+b*c)^5,1],
[(f*x+e)^2/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/2*(-a*f+b*e)^2/(-a*d+b*c)^3/(b*x+a)^2+(-a*f+b*e)*(-a*d*f-2*b*c*f+3*b*d*e)/(-a*d+b*c)^4/(b*x+a)+1/2*(-c*f+d*e)^2/(-a*d+b*c)^3/(d*x+c)^2+(-c*f+d*e)*(-2*a*d*f-b*c*f+3*b*d*e)/(-a*d+b*c)^4/(d*x+c)+(a^2*d^2*f^2-2*a*b*d*f*(-2*c*f+3*d*e)+b^2*(c^2*f^2-6*c*d*e*f+6*d^2*e^2))*ln(b*x+a)/(-a*d+b*c)^5-(a^2*d^2*f^2-2*a*b*d*f*(-2*c*f+3*d*e)+b^2*(c^2*f^2-6*c*d*e*f+6*d^2*e^2))*ln(d*x+c)/(-a*d+b*c)^5,1],
[(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/2*b*(-a*f+b*e)/(-a*d+b*c)^3/(b*x+a)^2+b*(-2*a*d*f-b*c*f+3*b*d*e)/(-a*d+b*c)^4/(b*x+a)+1/2*d*(-c*f+d*e)/(-a*d+b*c)^3/(d*x+c)^2+d*(-a*d*f-2*b*c*f+3*b*d*e)/(-a*d+b*c)^4/(d*x+c)+3*b*d*(-a*d*f-b*c*f+2*b*d*e)*ln(b*x+a)/(-a*d+b*c)^5-3*b*d*(-a*d*f-b*c*f+2*b*d*e)*ln(d*x+c)/(-a*d+b*c)^5,1],
[1/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/2*b^2/(-a*d+b*c)^3/(b*x+a)^2+3*b^2*d/(-a*d+b*c)^4/(b*x+a)+1/2*d^2/(-a*d+b*c)^3/(d*x+c)^2+3*b*d^2/(-a*d+b*c)^4/(d*x+c)+6*b^2*d^2*ln(b*x+a)/(-a*d+b*c)^5-6*b^2*d^2*ln(d*x+c)/(-a*d+b*c)^5,1],
[1/(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/2*b^3/(-a*d+b*c)^3/(-a*f+b*e)/(b*x+a)^2+b^3*(-4*a*d*f+b*c*f+3*b*d*e)/(-a*d+b*c)^4/(-a*f+b*e)^2/(b*x+a)+1/2*d^3/(-a*d+b*c)^3/(-c*f+d*e)/(d*x+c)^2+d^3*(a*d*f-4*b*c*f+3*b*d*e)/(-a*d+b*c)^4/(-c*f+d*e)^2/(d*x+c)+b^3*(10*a^2*d^2*f^2-5*a*b*d*f*(c*f+3*d*e)+b^2*(c^2*f^2+3*c*d*e*f+6*d^2*e^2))*ln(b*x+a)/(-a*d+b*c)^5/(-a*f+b*e)^3-d^3*(a^2*d^2*f^2+a*b*d*f*(-5*c*f+3*d*e)+b^2*(10*c^2*f^2-15*c*d*e*f+6*d^2*e^2))*ln(d*x+c)/(-a*d+b*c)^5/(-c*f+d*e)^3+f^5*ln(f*x+e)/(-a*f+b*e)^3/(-c*f+d*e)^3,1],
[1/(f*x+e)^2/(a*c+(a*d+b*c)*x+b*d*x^2)^3,x,2,-1/2*b^4/(-a*d+b*c)^3/(-a*f+b*e)^2/(b*x+a)^2+b^4*(-5*a*d*f+2*b*c*f+3*b*d*e)/(-a*d+b*c)^4/(-a*f+b*e)^3/(b*x+a)+1/2*d^4/(-a*d+b*c)^3/(-c*f+d*e)^2/(d*x+c)^2+d^4*(2*a*d*f-5*b*c*f+3*b*d*e)/(-a*d+b*c)^4/(-c*f+d*e)^3/(d*x+c)-f^5/(-a*f+b*e)^3/(-c*f+d*e)^3/(f*x+e)+3*b^4*(5*a^2*d^2*f^2-2*a*b*d*f*(2*c*f+3*d*e)+b^2*(c^2*f^2+2*c*d*e*f+2*d^2*e^2))*ln(b*x+a)/(-a*d+b*c)^5/(-a*f+b*e)^4-3*d^4*(a^2*d^2*f^2+2*a*b*d*f*(-2*c*f+d*e)+b^2*(5*c^2*f^2-6*c*d*e*f+2*d^2*e^2))*ln(d*x+c)/(-a*d+b*c)^5/(-c*f+d*e)^4+3*f^5*(-a*d*f-b*c*f+2*b*d*e)*ln(f*x+e)/(-a*f+b*e)^4/(-c*f+d*e)^4,1],
[(e*x+d)^3/(x^2+3*x+1),x,2,3*(d-e)*e^2*x+1/2*e^3*x^2+1/2*(2*d^3-6*d*e^2+6*e^3-(3-sqrt(5))*e*(3*d^2-9*d*e+8*e^2))*ln(3-sqrt(5)+2*x)/sqrt(5)-1/2*(2*d^3-6*d*e^2+6*e^3-(3+sqrt(5))*e*(3*d^2-9*d*e+8*e^2))*ln(3+sqrt(5)+2*x)/sqrt(5),1],
[(e*x+d)^2/(x^2+3*x+1),x,2,e^2*x+1/2*(2*d^2-2*(3-sqrt(5))*d*e+(7-3*sqrt(5))*e^2)*ln(3-sqrt(5)+2*x)/sqrt(5)-1/2*(2*d^2-2*(3+sqrt(5))*d*e+(7+3*sqrt(5))*e^2)*ln(3+sqrt(5)+2*x)/sqrt(5),1],
[(e*x+d)/(x^2+3*x+1),x,2,1/10*(2*sqrt(5)*d+(5-3*sqrt(5))*e)*ln(3-sqrt(5)+2*x)-1/2*(2*d-(3+sqrt(5))*e)*ln(3+sqrt(5)+2*x)/sqrt(5),1],
[1/(x^2+3*x+1),x,2,-2*arctanh((3+2*x)/sqrt(5))/sqrt(5),1],
[1/(e*x+d)/(x^2+3*x+1),x,2,2*ln(3-sqrt(5)+2*x)/sqrt(5)/(2*d-(3-sqrt(5))*e)-2*ln(3+sqrt(5)+2*x)/sqrt(5)/(2*d-(3+sqrt(5))*e)+e*ln(e*x+d)/(d^2-3*d*e+e^2),1],
[1/(e*x+d)^2/(x^2+3*x+1),x,2,-e/(d^2-3*d*e+e^2)/(e*x+d)+4*ln(3-sqrt(5)+2*x)/sqrt(5)/(2*d-(3-sqrt(5))*e)^2-4*ln(3+sqrt(5)+2*x)/sqrt(5)/(2*d-(3+sqrt(5))*e)^2+(2*d-3*e)*e*ln(e*x+d)/(d^2-3*d*e+e^2)^2,1],
[1/(e*x+d)^3/(x^2+3*x+1),x,2,-1/2*e/(d^2-3*d*e+e^2)/(e*x+d)^2-(2*d-3*e)*e/(d^2-3*d*e+e^2)^2/(e*x+d)+8*ln(3-sqrt(5)+2*x)/sqrt(5)/(2*d-(3-sqrt(5))*e)^3-8*ln(3+sqrt(5)+2*x)/sqrt(5)/(2*d-(3+sqrt(5))*e)^3+e*(3*d^2-9*d*e+8*e^2)*ln(e*x+d)/(d^2-3*d*e+e^2)^3,1],
[(2+3*x)^4/(x^2+3*x+1),x,2,216*x-27/2*x^2+27*x^3-5/2*(105-47*sqrt(5))*ln(3-sqrt(5)+2*x)-5/2*(105+47*sqrt(5))*ln(3+sqrt(5)+2*x),1],
[(2+3*x)^3/(x^2+3*x+1),x,2,-27*x+27/2*x^2+5*(9-4*sqrt(5))*ln(3-sqrt(5)+2*x)+5*(9+4*sqrt(5))*ln(3+sqrt(5)+2*x),1],
[(2+3*x)^2/(x^2+3*x+1),x,2,9*x-1/2*(15-7*sqrt(5))*ln(3-sqrt(5)+2*x)-1/2*(15+7*sqrt(5))*ln(3+sqrt(5)+2*x),1],
[(2+3*x)/(x^2+3*x+1),x,2,1/2*(3-sqrt(5))*ln(3-sqrt(5)+2*x)+1/2*(3+sqrt(5))*ln(3+sqrt(5)+2*x),1],
[1/(x^2+3*x+1),x,2,-2*arctanh((3+2*x)/sqrt(5))/sqrt(5),1],
[1/(2+3*x)/(x^2+3*x+1),x,2,1/10*(3+sqrt(5))*ln(3-sqrt(5)+2*x)+1/10*(3-sqrt(5))*ln(3+sqrt(5)+2*x)-3/5*ln(2+3*x),1],
[1/(2+3*x)^2/(x^2+3*x+1),x,2,3/(10+15*x)+4*ln(3-sqrt(5)+2*x)/sqrt(5)/(5-3*sqrt(5))^2-4*ln(3+sqrt(5)+2*x)/sqrt(5)/(5+3*sqrt(5))^2-3/5*ln(2+3*x),1],
[1/(2+3*x)^3/(x^2+3*x+1),x,2,3/10/(2+3*x)^2+3/(10+15*x)-8*ln(3-sqrt(5)+2*x)/sqrt(5)/(5-3*sqrt(5))^3+8*ln(3+sqrt(5)+2*x)/sqrt(5)/(5+3*sqrt(5))^3-18/25*ln(2+3*x),1],
[(7+3*x)/(x^2+6*x+8),x,2,1/2*ln(2+x)+5/2*ln(4+x),1],
[(3+x)/(x^2+3*x+1),x,2,1/10*(5+3*sqrt(5))*ln(3-sqrt(5)+2*x)+1/10*(5-3*sqrt(5))*ln(3+sqrt(5)+2*x),1],
[(-1+2*x)/(4*x^2+8*x+1),x,2,1/4*(1-sqrt(3))*ln(2-sqrt(3)+2*x)+1/4*(1+sqrt(3))*ln(2+sqrt(3)+2*x),1],
[(7-3*x)/(x^2+2*x-5),x,2,-1/6*(9-5*sqrt(6))*ln(1-sqrt(6)+x)-1/6*(9+5*sqrt(6))*ln(1+sqrt(6)+x),1],
[(f*x+e)^(3/2)/(a*c+(a*d+b*c)*x+b*d*x^2),x,5,2*f*sqrt(f*x+e)/b/d-2*(-a*f+b*e)^(3/2)*arctanh(sqrt(b)*sqrt(f*x+e)/sqrt(-a*f+b*e))/b^(3/2)/(-a*d+b*c)+2*(-c*f+d*e)^(3/2)*arctanh(sqrt(d)*sqrt(f*x+e)/sqrt(-c*f+d*e))/d^(3/2)/(-a*d+b*c),1],
[sqrt(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2),x,4,-2*sqrt(-a*f+b*e)*arctanh(sqrt(b)*sqrt(f*x+e)/sqrt(-a*f+b*e))/sqrt(b)/(-a*d+b*c)+2*sqrt(-c*f+d*e)*arctanh(sqrt(d)*sqrt(f*x+e)/sqrt(-c*f+d*e))/sqrt(d)/(-a*d+b*c),1],
[1/sqrt(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2),x,4,-2*sqrt(b)*arctanh(sqrt(b)*sqrt(f*x+e)/sqrt(-a*f+b*e))/(-a*d+b*c)/sqrt(-a*f+b*e)+2*sqrt(d)*arctanh(sqrt(d)*sqrt(f*x+e)/sqrt(-c*f+d*e))/(-a*d+b*c)/sqrt(-c*f+d*e),1],
[1/(f*x+e)^(3/2)/(a*c+(a*d+b*c)*x+b*d*x^2),x,5,-2*f/(-a*f+b*e)/(-c*f+d*e)/sqrt(f*x+e)-2*b^(3/2)*arctanh(sqrt(b)*sqrt(f*x+e)/sqrt(-a*f+b*e))/(-a*d+b*c)/(-a*f+b*e)^(3/2)+2*d^(3/2)*arctanh(sqrt(d)*sqrt(f*x+e)/sqrt(-c*f+d*e))/(-a*d+b*c)/(-c*f+d*e)^(3/2),1],
[(f*x+e)^(7/2)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,7,f*(3*a^2*d^2*f^2-2*a*b*d*f*(2*c*f+d*e)+b^2*(3*c^2*f^2-2*c*d*e*f+2*d^2*e^2))*sqrt(f*x+e)/b^2/d^2/(-a*d+b*c)^2+f*(-a*d*f-b*c*f+2*b*d*e)*(f*x+e)^(3/2)/b/d/(-a*d+b*c)^2-(f*x+e)^(5/2)*(b*c*e+a*d*e-2*a*c*f+(2*b*d*e-(a*d+b*c)*f)*x)/(-a*d+b*c)^2/(a*c+(a*d+b*c)*x+b*d*x^2)+(-a*f+b*e)^(5/2)*(3*a*d*f-7*b*c*f+4*b*d*e)*arctanh(sqrt(b)*sqrt(f*x+e)/sqrt(-a*f+b*e))/b^(5/2)/(-a*d+b*c)^3-(-c*f+d*e)^(5/2)*(-7*a*d*f+3*b*c*f+4*b*d*e)*arctanh(sqrt(d)*sqrt(f*x+e)/sqrt(-c*f+d*e))/d^(5/2)/(-a*d+b*c)^3,1],
[(f*x+e)^(5/2)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,7,f*(-a*d*f-b*c*f+2*b*d*e)*sqrt(f*x+e)/b/d/(-a*d+b*c)^2-(f*x+e)^(3/2)*(b*c*e+a*d*e-2*a*c*f+(2*b*d*e-(a*d+b*c)*f)*x)/(-a*d+b*c)^2/(a*c+(a*d+b*c)*x+b*d*x^2)+(-a*f+b*e)^(3/2)*(a*d*f-5*b*c*f+4*b*d*e)*arctanh(sqrt(b)*sqrt(f*x+e)/sqrt(-a*f+b*e))/b^(3/2)/(-a*d+b*c)^3-(-c*f+d*e)^(3/2)*(-5*a*d*f+b*c*f+4*b*d*e)*arctanh(sqrt(d)*sqrt(f*x+e)/sqrt(-c*f+d*e))/d^(3/2)/(-a*d+b*c)^3,1],
[(f*x+e)^(3/2)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,5,-sqrt(f*x+e)*(b*c*e+a*d*e-2*a*c*f+(2*b*d*e-(a*d+b*c)*f)*x)/(-a*d+b*c)^2/(a*c+(a*d+b*c)*x+b*d*x^2)+sqrt(-a*f+b*e)*(-a*d*f-3*b*c*f+4*b*d*e)*arctanh(sqrt(b)*sqrt(f*x+e)/sqrt(-a*f+b*e))/sqrt(b)/(-a*d+b*c)^3-sqrt(-c*f+d*e)*(-3*a*d*f-b*c*f+4*b*d*e)*arctanh(sqrt(d)*sqrt(f*x+e)/sqrt(-c*f+d*e))/sqrt(d)/(-a*d+b*c)^3,1],
[sqrt(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,5,-(2*b*d*x+a*d+b*c)*sqrt(f*x+e)/(-a*d+b*c)^2/(a*c+(a*d+b*c)*x+b*d*x^2)+sqrt(b)*(-3*a*d*f-b*c*f+4*b*d*e)*arctanh(sqrt(b)*sqrt(f*x+e)/sqrt(-a*f+b*e))/(-a*d+b*c)^3/sqrt(-a*f+b*e)-sqrt(d)*(-a*d*f-3*b*c*f+4*b*d*e)*arctanh(sqrt(d)*sqrt(f*x+e)/sqrt(-c*f+d*e))/(-a*d+b*c)^3/sqrt(-c*f+d*e),1],
[1/sqrt(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,5,-sqrt(f*x+e)*(a*b*d^2*e-a^2*d^2*f+b^2*c*(-c*f+d*e)+b*d*(2*b*d*e-(a*d+b*c)*f)*x)/(-a*d+b*c)^2/(-a*f+b*e)/(-c*f+d*e)/(a*c+(a*d+b*c)*x+b*d*x^2)+b^(3/2)*(-5*a*d*f+b*c*f+4*b*d*e)*arctanh(sqrt(b)*sqrt(f*x+e)/sqrt(-a*f+b*e))/(-a*d+b*c)^3/(-a*f+b*e)^(3/2)-d^(3/2)*(a*d*f-5*b*c*f+4*b*d*e)*arctanh(sqrt(d)*sqrt(f*x+e)/sqrt(-c*f+d*e))/(-a*d+b*c)^3/(-c*f+d*e)^(3/2),1],
[1/(f*x+e)^(3/2)/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,6,-f*(3*a^2*d^2*f^2-2*a*b*d*f*(2*c*f+d*e)+b^2*(3*c^2*f^2-2*c*d*e*f+2*d^2*e^2))/(-a*d+b*c)^2/(-a*f+b*e)^2/(-c*f+d*e)^2/sqrt(f*x+e)-(a*b*d^2*e-a^2*d^2*f+b^2*c*(-c*f+d*e)+b*d*(2*b*d*e-(a*d+b*c)*f)*x)/(-a*d+b*c)^2/(-a*f+b*e)/(-c*f+d*e)/sqrt(f*x+e)/(a*c+(a*d+b*c)*x+b*d*x^2)+b^(5/2)*(-7*a*d*f+3*b*c*f+4*b*d*e)*arctanh(sqrt(b)*sqrt(f*x+e)/sqrt(-a*f+b*e))/(-a*d+b*c)^3/(-a*f+b*e)^(5/2)-d^(5/2)*(3*a*d*f-7*b*c*f+4*b*d*e)*arctanh(sqrt(d)*sqrt(f*x+e)/sqrt(-c*f+d*e))/(-a*d+b*c)^3/(-c*f+d*e)^(5/2),1],
[(f*x+e)^m*(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,2,(-a*f+b*e)^2*(-c*f+d*e)^2*(f*x+e)^(1+m)/f^5/(1+m)-2*(-a*f+b*e)*(-c*f+d*e)*(-a*d*f-b*c*f+2*b*d*e)*(f*x+e)^(2+m)/f^5/(2+m)+(a^2*d^2*f^2-2*a*b*d*f*(-2*c*f+3*d*e)+b^2*(c^2*f^2-6*c*d*e*f+6*d^2*e^2))*(f*x+e)^(3+m)/f^5/(3+m)-2*b*d*(-a*d*f-b*c*f+2*b*d*e)*(f*x+e)^(4+m)/f^5/(4+m)+b^2*d^2*(f*x+e)^(5+m)/f^5/(5+m),1],
[(f*x+e)^m*(a*c+(a*d+b*c)*x+b*d*x^2),x,2,(-a*f+b*e)*(-c*f+d*e)*(f*x+e)^(1+m)/f^3/(1+m)-(-a*d*f-b*c*f+2*b*d*e)*(f*x+e)^(2+m)/f^3/(2+m)+b*d*(f*x+e)^(3+m)/f^3/(3+m),1],
[(f*x+e)^m/(a*c+(a*d+b*c)*x+b*d*x^2),x,4,-b*(f*x+e)^(1+m)*hypergeom([1, 1+m],[2+m],b*(f*x+e)/(-a*f+b*e))/(-a*d+b*c)/(-a*f+b*e)/(1+m)+d*(f*x+e)^(1+m)*hypergeom([1, 1+m],[2+m],d*(f*x+e)/(-c*f+d*e))/(-a*d+b*c)/(-c*f+d*e)/(1+m),1],
[(f*x+e)^m/(a*c+(a*d+b*c)*x+b*d*x^2)^2,x,4,-(f*x+e)^(1+m)*(a*b*d^2*e-a^2*d^2*f+b^2*c*(-c*f+d*e)+b*d*(2*b*d*e-(a*d+b*c)*f)*x)/(-a*d+b*c)^2/(-a*f+b*e)/(-c*f+d*e)/(a*c+(a*d+b*c)*x+b*d*x^2)-b^2*(a*d*f*(2-m)-b*(-c*f*m+2*d*e))*(f*x+e)^(1+m)*hypergeom([1, 1+m],[2+m],b*(f*x+e)/(-a*f+b*e))/(-a*d+b*c)^3/(-a*f+b*e)^2/(1+m)-d^2*(2*b*d*e-b*c*f*(2-m)-a*d*f*m)*(f*x+e)^(1+m)*hypergeom([1, 1+m],[2+m],d*(f*x+e)/(-c*f+d*e))/(-a*d+b*c)^3/(-c*f+d*e)^2/(1+m),1],
[(e*x+d)^4*(c*x^2+b*x+a),x,2,1/5*(a*e^2-b*d*e+c*d^2)*(e*x+d)^5/e^3-1/6*(-b*e+2*c*d)*(e*x+d)^6/e^3+1/7*c*(e*x+d)^7/e^3,1],
[(e*x+d)^3*(c*x^2+b*x+a),x,2,1/4*(a*e^2-b*d*e+c*d^2)*(e*x+d)^4/e^3-1/5*(-b*e+2*c*d)*(e*x+d)^5/e^3+1/6*c*(e*x+d)^6/e^3,1],
[(e*x+d)^2*(c*x^2+b*x+a),x,2,1/3*(a*e^2-b*d*e+c*d^2)*(e*x+d)^3/e^3-1/4*(-b*e+2*c*d)*(e*x+d)^4/e^3+1/5*c*(e*x+d)^5/e^3,1],
[(e*x+d)*(c*x^2+b*x+a),x,2,a*d*x+1/2*(a*e+b*d)*x^2+1/3*(b*e+c*d)*x^3+1/4*c*e*x^4,1],
[c*x^2+b*x+a,x,1,a*x+1/2*b*x^2+1/3*c*x^3,1],
[(c*x^2+b*x+a)/(e*x+d),x,2,-(-b*e+c*d)*x/e^2+1/2*c*x^2/e+(a*e^2-b*d*e+c*d^2)*ln(e*x+d)/e^3,1],
[(c*x^2+b*x+a)/(e*x+d)^2,x,2,c*x/e^2-(a*e^2-b*d*e+c*d^2)/e^3/(e*x+d)-(-b*e+2*c*d)*ln(e*x+d)/e^3,1],
[(c*x^2+b*x+a)/(e*x+d)^3,x,2,-1/2*(a*e^2-b*d*e+c*d^2)/e^3/(e*x+d)^2+(-b*e+2*c*d)/e^3/(e*x+d)+c*ln(e*x+d)/e^3,1],
[(c*x^2+b*x+a)/(e*x+d)^4,x,2,-1/3*(a*e^2-b*d*e+c*d^2)/e^3/(e*x+d)^3+1/2*(-b*e+2*c*d)/e^3/(e*x+d)^2-c/e^3/(e*x+d),1],
[(c*x^2+b*x+a)/(e*x+d)^5,x,2,-1/4*(a*e^2-b*d*e+c*d^2)/e^3/(e*x+d)^4+1/3*(-b*e+2*c*d)/e^3/(e*x+d)^3-1/2*c/e^3/(e*x+d)^2,1],
[(c*x^2+b*x+a)/(e*x+d)^6,x,2,-1/5*(a*e^2-b*d*e+c*d^2)/e^3/(e*x+d)^5+1/4*(-b*e+2*c*d)/e^3/(e*x+d)^4-1/3*c/e^3/(e*x+d)^3,1],
[(e*x+d)^4*(c*x^2+b*x+a)^2,x,2,1/5*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^5/e^5-1/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^6/e^5+1/7*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^7/e^5-1/4*c*(-b*e+2*c*d)*(e*x+d)^8/e^5+1/9*c^2*(e*x+d)^9/e^5,1],
[(e*x+d)^3*(c*x^2+b*x+a)^2,x,2,1/4*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^4/e^5-2/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^5/e^5+1/6*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^6/e^5-2/7*c*(-b*e+2*c*d)*(e*x+d)^7/e^5+1/8*c^2*(e*x+d)^8/e^5,1],
[(e*x+d)^2*(c*x^2+b*x+a)^2,x,2,1/3*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^3/e^5-1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^4/e^5+1/5*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^5/e^5-1/3*c*(-b*e+2*c*d)*(e*x+d)^6/e^5+1/7*c^2*(e*x+d)^7/e^5,1],
[(e*x+d)*(c*x^2+b*x+a)^2,x,2,a^2*d*x+1/2*a*(a*e+2*b*d)*x^2+1/3*(2*a*b*e+2*a*c*d+b^2*d)*x^3+1/4*(2*a*c*e+b^2*e+2*b*c*d)*x^4+1/5*c*(2*b*e+c*d)*x^5+1/6*c^2*e*x^6,1],
[(c*x^2+b*x+a)^2,x,2,a^2*x+a*b*x^2+1/3*(2*a*c+b^2)*x^3+1/2*b*c*x^4+1/5*c^2*x^5,1],
[(c*x^2+b*x+a)^2/(e*x+d),x,2,-(-b*e+c*d)*(c*d^2-e*(-2*a*e+b*d))*x/e^4+1/2*(c^2*d^2+b^2*e^2-2*c*e*(-a*e+b*d))*x^2/e^3-1/3*c*(-2*b*e+c*d)*x^3/e^2+1/4*c^2*x^4/e+(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)/e^5,1],
[(c*x^2+b*x+a)^2/(e*x+d)^2,x,2,(3*c^2*d^2+b^2*e^2-2*c*e*(-a*e+2*b*d))*x/e^4-c*(-b*e+c*d)*x^2/e^3+1/3*c^2*x^3/e^2-(a*e^2-b*d*e+c*d^2)^2/e^5/(e*x+d)-2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*ln(e*x+d)/e^5,1],
[(c*x^2+b*x+a)^2/(e*x+d)^3,x,2,-c*(-2*b*e+3*c*d)*x/e^4+1/2*c^2*x^2/e^3-1/2*(a*e^2-b*d*e+c*d^2)^2/e^5/(e*x+d)^2+2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^5/(e*x+d)+(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*ln(e*x+d)/e^5,1],
[(c*x^2+b*x+a)^2/(e*x+d)^4,x,2,c^2*x/e^4-1/3*(a*e^2-b*d*e+c*d^2)^2/e^5/(e*x+d)^3+(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^5/(e*x+d)^2-(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))/e^5/(e*x+d)-2*c*(-b*e+2*c*d)*ln(e*x+d)/e^5,1],
[(c*x^2+b*x+a)^2/(e*x+d)^5,x,2,-1/4*(a*e^2-b*d*e+c*d^2)^2/e^5/(e*x+d)^4+2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^5/(e*x+d)^3-1/2*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))/e^5/(e*x+d)^2+2*c*(-b*e+2*c*d)/e^5/(e*x+d)+c^2*ln(e*x+d)/e^5,1],
[(c*x^2+b*x+a)^2/(e*x+d)^6,x,2,-1/5*(a*e^2-b*d*e+c*d^2)^2/e^5/(e*x+d)^5+1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^5/(e*x+d)^4-1/3*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))/e^5/(e*x+d)^3+c*(-b*e+2*c*d)/e^5/(e*x+d)^2-c^2/e^5/(e*x+d),1],
[(c*x^2+b*x+a)^2/(e*x+d)^7,x,2,-1/6*(a*e^2-b*d*e+c*d^2)^2/e^5/(e*x+d)^6+2/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^5/(e*x+d)^5-1/4*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))/e^5/(e*x+d)^4+2/3*c*(-b*e+2*c*d)/e^5/(e*x+d)^3-1/2*c^2/e^5/(e*x+d)^2,1],
[(c*x^2+b*x+a)^2/(e*x+d)^8,x,2,-1/7*(a*e^2-b*d*e+c*d^2)^2/e^5/(e*x+d)^7+1/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^5/(e*x+d)^6-1/5*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))/e^5/(e*x+d)^5+1/2*c*(-b*e+2*c*d)/e^5/(e*x+d)^4-1/3*c^2/e^5/(e*x+d)^3,1],
[(e*x+d)^4*(c*x^2+b*x+a)^3,x,2,1/5*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^5/e^7-1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^6/e^7+3/7*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^7/e^7-1/8*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^8/e^7+1/3*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^9/e^7-3/10*c^2*(-b*e+2*c*d)*(e*x+d)^10/e^7+1/11*c^3*(e*x+d)^11/e^7,1],
[(e*x+d)^3*(c*x^2+b*x+a)^3,x,2,1/4*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^4/e^7-3/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^5/e^7+1/2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^6/e^7-1/7*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^7/e^7+3/8*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^8/e^7-1/3*c^2*(-b*e+2*c*d)*(e*x+d)^9/e^7+1/10*c^3*(e*x+d)^10/e^7,1],
[(e*x+d)^2*(c*x^2+b*x+a)^3,x,2,1/3*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^3/e^7-3/4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^4/e^7+3/5*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^5/e^7-1/6*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^6/e^7+3/7*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^7/e^7-3/8*c^2*(-b*e+2*c*d)*(e*x+d)^8/e^7+1/9*c^3*(e*x+d)^9/e^7,1],
[(e*x+d)*(c*x^2+b*x+a)^3,x,2,a^3*d*x+1/2*a^2*(a*e+3*b*d)*x^2+a*(a*b*e+a*c*d+b^2*d)*x^3+1/4*(3*a^2*c*e+3*a*b^2*e+6*a*b*c*d+b^3*d)*x^4+1/5*(6*a*b*c*e+3*a*c^2*d+b^3*e+3*b^2*c*d)*x^5+1/2*c*(a*c*e+b^2*e+b*c*d)*x^6+1/7*c^2*(3*b*e+c*d)*x^7+1/8*c^3*e*x^8,1],
[(c*x^2+b*x+a)^3,x,2,a^3*x+3/2*a^2*b*x^2+a*(a*c+b^2)*x^3+1/4*b*(6*a*c+b^2)*x^4+3/5*c*(a*c+b^2)*x^5+1/2*b*c^2*x^6+1/7*c^3*x^7,1],
[(c*x^2+b*x+a)^3/(e*x+d),x,2,-3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*x/e^6+3/2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^2/e^7-1/3*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^3/e^7+3/4*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^4/e^7-3/5*c^2*(-b*e+2*c*d)*(e*x+d)^5/e^7+1/6*c^3*(e*x+d)^6/e^7+(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)/e^7,1],
[(c*x^2+b*x+a)^3/(e*x+d)^2,x,2,3*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*x/e^6-(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)-1/2*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^2/e^7+c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^3/e^7-3/4*c^2*(-b*e+2*c*d)*(e*x+d)^4/e^7+1/5*c^3*(e*x+d)^5/e^7-3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)/e^7,1],
[(c*x^2+b*x+a)^3/(e*x+d)^3,x,2,-(10*c^3*d^3-b^3*e^3+3*b*c*e^2*(-2*a*e+3*b*d)-9*c^2*d*e*(-a*e+2*b*d))*x/e^6+3/2*c*(2*c^2*d^2+b^2*e^2-c*e*(-a*e+3*b*d))*x^2/e^5-c^2*(-b*e+c*d)*x^3/e^4+1/4*c^3*x^4/e^3-1/2*(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)^2+3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^7/(e*x+d)+3*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*ln(e*x+d)/e^7,1],
[(c*x^2+b*x+a)^3/(e*x+d)^4,x,2,c*(10*c^2*d^2+3*b^2*e^2-3*c*e*(-a*e+4*b*d))*x/e^6-1/2*c^2*(-3*b*e+4*c*d)*x^2/e^5+1/3*c^3*x^3/e^4-1/3*(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)^3+3/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^7/(e*x+d)^2-3*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)-(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*ln(e*x+d)/e^7,1],
[(c*x^2+b*x+a)^3/(e*x+d)^5,x,2,-c^2*(-3*b*e+5*c*d)*x/e^6+1/2*c^3*x^2/e^5-1/4*(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)^4+(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^7/(e*x+d)^3-3/2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)^2+(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))/e^7/(e*x+d)+3*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*ln(e*x+d)/e^7,1],
[(c*x^2+b*x+a)^3/(e*x+d)^6,x,2,c^3*x/e^6-1/5*(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)^5+3/4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^7/(e*x+d)^4-(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)^3+1/2*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))/e^7/(e*x+d)^2-3*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)-3*c^2*(-b*e+2*c*d)*ln(e*x+d)/e^7,1],
[(c*x^2+b*x+a)^3/(e*x+d)^7,x,2,-1/6*(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)^6+3/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^7/(e*x+d)^5-3/4*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)^4+1/3*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))/e^7/(e*x+d)^3-3/2*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)^2+3*c^2*(-b*e+2*c*d)/e^7/(e*x+d)+c^3*ln(e*x+d)/e^7,1],
[(c*x^2+b*x+a)^3/(e*x+d)^8,x,2,-1/7*(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)^7+1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^7/(e*x+d)^6-3/5*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)^5+1/4*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))/e^7/(e*x+d)^4-c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)^3+3/2*c^2*(-b*e+2*c*d)/e^7/(e*x+d)^2-c^3/e^7/(e*x+d),1],
[(c*x^2+b*x+a)^3/(e*x+d)^9,x,2,-1/8*(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)^8+3/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^7/(e*x+d)^7-1/2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)^6+1/5*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))/e^7/(e*x+d)^5-3/4*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)^4+c^2*(-b*e+2*c*d)/e^7/(e*x+d)^3-1/2*c^3/e^7/(e*x+d)^2,1],
[(c*x^2+b*x+a)^3/(e*x+d)^10,x,2,-1/9*(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)^9+3/8*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^7/(e*x+d)^8-3/7*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)^7+1/6*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))/e^7/(e*x+d)^6-3/5*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/(e*x+d)^5+3/4*c^2*(-b*e+2*c*d)/e^7/(e*x+d)^4-1/3*c^3/e^7/(e*x+d)^3,1],
[(e*x+d)^4*(c*x^2+b*x+a)^4,x,2,1/5*(a*e^2-b*d*e+c*d^2)^4*(e*x+d)^5/e^9-2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^6/e^9+2/7*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^7/e^9-1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^8/e^9+1/9*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^9/e^9-2/5*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^10/e^9+2/11*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^11/e^9-1/3*c^3*(-b*e+2*c*d)*(e*x+d)^12/e^9+1/13*c^4*(e*x+d)^13/e^9,1],
[(e*x+d)^3*(c*x^2+b*x+a)^4,x,2,1/4*(a*e^2-b*d*e+c*d^2)^4*(e*x+d)^4/e^9-4/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^5/e^9+1/3*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^6/e^9-4/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^7/e^9+1/8*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^8/e^9-4/9*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^9/e^9+1/5*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^10/e^9-4/11*c^3*(-b*e+2*c*d)*(e*x+d)^11/e^9+1/12*c^4*(e*x+d)^12/e^9,1],
[(e*x+d)^2*(c*x^2+b*x+a)^4,x,2,1/3*(a*e^2-b*d*e+c*d^2)^4*(e*x+d)^3/e^9-(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^4/e^9+2/5*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^5/e^9-2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^6/e^9+1/7*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^7/e^9-1/2*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^8/e^9+2/9*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^9/e^9-2/5*c^3*(-b*e+2*c*d)*(e*x+d)^10/e^9+1/11*c^4*(e*x+d)^11/e^9,1],
[(e*x+d)*(c*x^2+b*x+a)^4,x,2,a^4*d*x+1/2*a^3*(a*e+4*b*d)*x^2+2/3*a^2*(2*a*b*e+2*a*c*d+3*b^2*d)*x^3+1/2*a*(2*a^2*c*e+3*a*b^2*e+6*a*b*c*d+2*b^3*d)*x^4+1/5*(12*a^2*b*c*e+6*a^2*c^2*d+4*a*b^3*e+12*a*b^2*c*d+b^4*d)*x^5+1/6*(6*a^2*c^2*e+12*a*b^2*c*e+12*a*b*c^2*d+b^4*e+4*b^3*c*d)*x^6+2/7*c*(6*a*b*c*e+2*a*c^2*d+2*b^3*e+3*b^2*c*d)*x^7+1/4*c^2*(2*a*c*e+3*b^2*e+2*b*c*d)*x^8+1/9*c^3*(4*b*e+c*d)*x^9+1/10*c^4*e*x^10,1],
[(c*x^2+b*x+a)^4,x,2,a^4*x+2*a^3*b*x^2+2/3*a^2*(2*a*c+3*b^2)*x^3+a*b*(3*a*c+b^2)*x^4+1/5*(6*a^2*c^2+12*a*b^2*c+b^4)*x^5+2/3*b*c*(3*a*c+b^2)*x^6+2/7*c^2*(2*a*c+3*b^2)*x^7+1/2*b*c^3*x^8+1/9*c^4*x^9,1],
[(c*x^2+b*x+a)^4/(e*x+d),x,2,-4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*x/e^8+(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^2/e^9-4/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^3/e^9+1/4*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^4/e^9-4/5*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^5/e^9+1/3*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^6/e^9-4/7*c^3*(-b*e+2*c*d)*(e*x+d)^7/e^9+1/8*c^4*(e*x+d)^8/e^9+(a*e^2-b*d*e+c*d^2)^4*ln(e*x+d)/e^9,1],
[(c*x^2+b*x+a)^4/(e*x+d)^2,x,2,2*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*x/e^8-(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)-2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^2/e^9+1/3*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^3/e^9-c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^4/e^9+2/5*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^5/e^9-2/3*c^3*(-b*e+2*c*d)*(e*x+d)^6/e^9+1/7*c^4*(e*x+d)^7/e^9-4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)/e^9,1],
[(c*x^2+b*x+a)^4/(e*x+d)^3,x,2,-4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*x/e^8-1/2*(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)^2+4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^9/(e*x+d)+1/2*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^2/e^9-4/3*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^3/e^9+1/2*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^4/e^9-4/5*c^3*(-b*e+2*c*d)*(e*x+d)^5/e^9+1/6*c^4*(e*x+d)^6/e^9+2*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*ln(e*x+d)/e^9,1],
[(c*x^2+b*x+a)^4/(e*x+d)^4,x,2,(35*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+4*b*d)-40*c^3*d^2*e*(-a*e+2*b*d)+6*c^2*e^2*(a^2*e^2-8*a*b*d*e+10*b^2*d^2))*x/e^8-2*c*(5*c^3*d^3-b^3*e^3-2*c^2*d*e*(-2*a*e+5*b*d)+3*b*c*e^2*(-a*e+2*b*d))*x^2/e^7+2/3*c^2*(5*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+4*b*d))*x^3/e^6-c^3*(-b*e+c*d)*x^4/e^5+1/5*c^4*x^5/e^4-1/3*(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)^3+2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^9/(e*x+d)^2-2*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)-4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*ln(e*x+d)/e^9,1],
[(c*x^2+b*x+a)^4/(e*x+d)^5,x,2,-c*(35*c^3*d^3-4*b^3*e^3+6*b*c*e^2*(-2*a*e+5*b*d)-20*c^2*d*e*(-a*e+3*b*d))*x/e^8+1/2*c^2*(15*c^2*d^2+6*b^2*e^2-4*c*e*(-a*e+5*b*d))*x^2/e^7-1/3*c^3*(-4*b*e+5*c*d)*x^3/e^6+1/4*c^4*x^4/e^5-1/4*(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)^4+4/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^9/(e*x+d)^3-(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^2+4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)+(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*ln(e*x+d)/e^9,1],
[(c*x^2+b*x+a)^4/(e*x+d)^6,x,2,c^2*(21*c^2*d^2+6*b^2*e^2-4*c*e*(-a*e+6*b*d))*x/e^8-c^3*(-2*b*e+3*c*d)*x^2/e^7+1/3*c^4*x^3/e^6-1/5*(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)^5+(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^9/(e*x+d)^4-2/3*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^3+2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^2-(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))/e^9/(e*x+d)-4*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*ln(e*x+d)/e^9,1],
[(c*x^2+b*x+a)^4/(e*x+d)^7,x,2,-c^3*(-4*b*e+7*c*d)*x/e^8+1/2*c^4*x^2/e^7-1/6*(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)^6+4/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^9/(e*x+d)^5-1/2*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^4+4/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^3-1/2*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))/e^9/(e*x+d)^2+4*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)+2*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*ln(e*x+d)/e^9,1],
[(c*x^2+b*x+a)^4/(e*x+d)^8,x,2,c^4*x/e^8-1/7*(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)^7+2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^9/(e*x+d)^6-2/5*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^5+(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^4-1/3*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))/e^9/(e*x+d)^3+2*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^2-2*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)-4*c^3*(-b*e+2*c*d)*ln(e*x+d)/e^9,1],
[(c*x^2+b*x+a)^4/(e*x+d)^9,x,2,-1/8*(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)^8+4/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^9/(e*x+d)^7-1/3*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^6+4/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^5-1/4*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))/e^9/(e*x+d)^4+4/3*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^3-c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^2+4*c^3*(-b*e+2*c*d)/e^9/(e*x+d)+c^4*ln(e*x+d)/e^9,1],
[(c*x^2+b*x+a)^4/(e*x+d)^10,x,2,-1/9*(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)^9+1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^9/(e*x+d)^8-2/7*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^7+2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^6-1/5*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))/e^9/(e*x+d)^5+c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^4-2/3*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^3+2*c^3*(-b*e+2*c*d)/e^9/(e*x+d)^2-c^4/e^9/(e*x+d),1],
[(c*x^2+b*x+a)^4/(e*x+d)^11,x,2,-1/10*(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)^10+4/9*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^9/(e*x+d)^9-1/4*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^8+4/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^7-1/6*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))/e^9/(e*x+d)^6+4/5*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^5-1/2*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^4+4/3*c^3*(-b*e+2*c*d)/e^9/(e*x+d)^3-1/2*c^4/e^9/(e*x+d)^2,1],
[(c*x^2+b*x+a)^4/(e*x+d)^12,x,2,-1/11*(a*e^2-b*d*e+c*d^2)^4/e^9/(e*x+d)^11+2/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3/e^9/(e*x+d)^10-2/9*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^9+1/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^8-1/7*(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))/e^9/(e*x+d)^7+2/3*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))/e^9/(e*x+d)^6-2/5*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))/e^9/(e*x+d)^5+c^3*(-b*e+2*c*d)/e^9/(e*x+d)^4-1/3*c^4/e^9/(e*x+d)^3,1],
[(x^2+2*x+2)/(2+x),x,2,1/2*x^2+2*ln(2+x),1],
[(x^2+4*x+5)/(-2+x),x,2,6*x+1/2*x^2+17*ln(2-x),1],
[(x^2+2*x+2)/(1+x)^3,x,2,-1/2/(1+x)^2+ln(1+x),1],
[(2*x^2+3*x+3)/(1+x)^3,x,2,-1/(1+x)^2+1/(1+x)+2*ln(1+x),1],
[(e*x+d)^3*(c*x^2+b*x+a)^3,x,2,1/4*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^4/e^7-3/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^5/e^7+1/2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^6/e^7-1/7*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^7/e^7+3/8*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^8/e^7-1/3*c^2*(-b*e+2*c*d)*(e*x+d)^9/e^7+1/10*c^3*(e*x+d)^10/e^7,1],
[(a*d+(a*e+b*d)*x+(b*e+c*d)*x^2+c*e*x^3)^3,x,3,1/4*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^4/e^7-3/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^5/e^7+1/2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^6/e^7-1/7*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^7/e^7+3/8*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^8/e^7-1/3*c^2*(-b*e+2*c*d)*(e*x+d)^9/e^7+1/10*c^3*(e*x+d)^10/e^7,1],
[a^3*d^3+3*a^2*d^2*(a*e+b*d)*x+3*a*d*(a^2*e^2+3*a*b*d*e+a*c*d^2+b^2*d^2)*x^2+(a^3*e^3+9*a^2*b*d*e^2+9*a^2*c*d^2*e+9*a*b^2*d^2*e+6*a*b*c*d^3+b^3*d^3)*x^3+3*(a^2*b*e^3+3*a^2*c*d*e^2+3*a*b^2*d*e^2+6*a*b*c*d^2*e+a*c^2*d^3+b^3*d^2*e+b^2*c*d^3)*x^4+3*(a^2*c*e^3+a*b^2*e^3+6*a*b*c*d*e^2+3*a*c^2*d^2*e+b^3*d*e^2+3*b^2*c*d^2*e+b*c^2*d^3)*x^5+(6*a*b*c*e^3+9*a*c^2*d*e^2+b^3*e^3+9*b^2*c*d*e^2+9*b*c^2*d^2*e+c^3*d^3)*x^6+3*c*e*(a*c*e^2+b^2*e^2+3*b*c*d*e+c^2*d^2)*x^7+3*c^2*e^2*(b*e+c*d)*x^8+c^3*e^3*x^9,x,1,1/4*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^4/e^7-3/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^5/e^7+1/2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^6/e^7-1/7*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^7/e^7+3/8*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^8/e^7-1/3*c^2*(-b*e+2*c*d)*(e*x+d)^9/e^7+1/10*c^3*(e*x+d)^10/e^7,1],
[(e*x+d)^4/(c*x^2+b*x+a),x,6,e^2*(6*c^2*d^2+b^2*e^2-c*e*(a*e+4*b*d))*x/c^3+1/2*e^3*(-b*e+4*c*d)*x^2/c^2+1/3*e^4*x^3/c-(2*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(a*e+b*d)-4*c^3*d^2*e*(3*a*e+b*d)+2*c^2*e^2*(a^2*e^2+6*a*b*d*e+3*b^2*d^2))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^4/sqrt(-4*a*c+b^2)+1/2*e*(-b*e+2*c*d)*(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*ln(c*x^2+b*x+a)/c^4,1],
[(e*x+d)^3/(c*x^2+b*x+a),x,6,e^2*(-b*e+3*c*d)*x/c^2+1/2*e^3*x^2/c-(-b*e+2*c*d)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3/sqrt(-4*a*c+b^2)+1/2*e*(3*c^2*d^2+b^2*e^2-c*e*(a*e+3*b*d))*ln(c*x^2+b*x+a)/c^3,1],
[(e*x+d)^2/(c*x^2+b*x+a),x,6,e^2*x/c-(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^2/sqrt(-4*a*c+b^2)+1/2*e*(-b*e+2*c*d)*ln(c*x^2+b*x+a)/c^2,1],
[(e*x+d)/(c*x^2+b*x+a),x,4,-(-b*e+2*c*d)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c/sqrt(-4*a*c+b^2)+1/2*e*ln(c*x^2+b*x+a)/c,1],
[1/(c*x^2+b*x+a),x,2,-2*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2),1],
[1/(e*x+d)/(c*x^2+b*x+a),x,6,-(-b*e+2*c*d)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)+e*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)-e*ln(c*x^2+b*x+a)/(2*a*e^2-2*b*d*e+2*c*d^2),1],
[1/(e*x+d)^2/(c*x^2+b*x+a),x,6,-e/(a*e^2-b*d*e+c*d^2)/(e*x+d)-(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2+e*(-b*e+2*c*d)*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^2-1/2*e*(-b*e+2*c*d)*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2,1],
[1/(e*x+d)^3/(c*x^2+b*x+a),x,6,-1/2*e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-e*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)-(-b*e+2*c*d)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^3+e*(3*c^2*d^2+b^2*e^2-c*e*(a*e+3*b*d))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3-1/2*e*(3*c^2*d^2+b^2*e^2-c*e*(a*e+3*b*d))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[(e*x+d)^5/(c*x^2+b*x+a)^2,x,7,e^4*(-2*b*e+5*c*d)*x/c^3+1/2*e^5*x^2/c^2-(c*(5*a*b^3*d*e^4-a*b^4*e^5/c-2*a*b^2*e^3*(-2*a*e^2+5*c*d^2)+b*c*d*(-15*a^2*e^4+10*a*c*d^2*e^2+c^2*d^4)-2*a*c*e*(a^2*e^4-10*a*c*d^2*e^2+5*c^2*d^4))+(-b*e+2*c*d)*(c^4*d^4+b^4*e^4-2*c^3*d^2*e*(5*a*e+b*d)-b^2*c*e^3*(5*a*e+3*b*d)+c^2*e^2*(5*a^2*e^2+10*a*b*d*e+4*b^2*d^2))*x)/c^4/(-4*a*c+b^2)/(c*x^2+b*x+a)+(-b*e+2*c*d)*(2*c^4*d^4-3*b^4*e^4-4*c^3*d^2*e*(-5*a*e+b*d)+4*b^2*c*e^3*(5*a*e+b*d)-2*c^2*e^2*(15*a^2*e^2+10*a*b*d*e+b^2*d^2))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^4/(-4*a*c+b^2)^(3/2)+1/2*e^3*(10*c^2*d^2+3*b^2*e^2-2*c*e*(a*e+5*b*d))*ln(c*x^2+b*x+a)/c^4,1],
[(e*x+d)^4/(c*x^2+b*x+a)^2,x,7,e^4*x/c^2+(4*a*b^2*c*d*e^3-a*b^3*e^4+8*a*c^2*d*e*(-a*e^2+c*d^2)-b*c*(-3*a^2*e^4+6*a*c*d^2*e^2+c^2*d^4)-(2*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(a*e+b*d)-4*c^3*d^2*e*(3*a*e+b*d)+2*c^2*e^2*(a^2*e^2+6*a*b*d*e+3*b^2*d^2))*x)/c^3/(-4*a*c+b^2)/(c*x^2+b*x+a)+2*(2*c^4*d^4-b^4*e^4-4*c^3*d^2*e*(-3*a*e+b*d)-6*a*c^2*e^3*(a*e+2*b*d)+2*b^2*c*e^3*(3*a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3/(-4*a*c+b^2)^(3/2)+e^3*(-b*e+2*c*d)*ln(c*x^2+b*x+a)/c^3,1],
[(e*x+d)^3/(c*x^2+b*x+a)^2,x,7,e^2*(-b*e+2*c*d)*x/c/(-4*a*c+b^2)-(e*x+d)^2*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+(-b*e+2*c*d)*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^2/(-4*a*c+b^2)^(3/2)+1/2*e^3*ln(c*x^2+b*x+a)/c^2,1],
[(e*x+d)^2/(c*x^2+b*x+a)^2,x,3,-(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+4*(a*e^2-b*d*e+c*d^2)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[(e*x+d)/(c*x^2+b*x+a)^2,x,3,-(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+2*(-b*e+2*c*d)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[1/(c*x^2+b*x+a)^2,x,3,-(2*c*x+b)/(-4*a*c+b^2)/(c*x^2+b*x+a)+4*c*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2),1],
[1/(e*x+d)/(c*x^2+b*x+a)^2,x,7,-(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)+(-b*e+2*c*d)*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/(a*e^2-b*d*e+c*d^2)^2+e^3*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^2-1/2*e^3*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2,1],
[1/(e*x+d)^2/(c*x^2+b*x+a)^2,x,7,-e^3/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)+(2*b^2*c*d*e-4*a*c^2*d*e-b^3*e^2-b*c*(-3*a*e^2+c*d^2)-c*(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)+2*(2*c^4*d^4-b^4*e^4-4*c^3*d^2*e*(-3*a*e+b*d)-6*a*c^2*e^3*(a*e+2*b*d)+2*b^2*c*e^3*(3*a*e+b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/(a*e^2-b*d*e+c*d^2)^3+2*e^3*(-b*e+2*c*d)*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3-e^3*(-b*e+2*c*d)*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[1/(e*x+d)^3/(c*x^2+b*x+a)^2,x,7,-1/2*e^3/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2-2*e^3*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)-(3*b^3*c*d*e^2-b^4*e^3+b*c^2*d*(-9*a*e^2+c*d^2)-b^2*c*e*(-4*a*e^2+3*c*d^2)+2*a*c^2*e*(-a*e^2+3*c*d^2)+c*(-b*e+2*c*d)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)+(-b*e+2*c*d)*(2*c^4*d^4-3*b^4*e^4-4*c^3*d^2*e*(-5*a*e+b*d)+4*b^2*c*e^3*(5*a*e+b*d)-2*c^2*e^2*(15*a^2*e^2+10*a*b*d*e+b^2*d^2))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(3/2)/(a*e^2-b*d*e+c*d^2)^4+e^3*(10*c^2*d^2+3*b^2*e^2-2*c*e*(a*e+5*b*d))*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^4-1/2*e^3*(10*c^2*d^2+3*b^2*e^2-2*c*e*(a*e+5*b*d))*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^4,1],
[(e*x+d)^5/(c*x^2+b*x+a)^3,x,8,-e^2*(18*c^3*d^3+b^3*e^3-7*a*b*c*e^3-3*c^2*d*e*(-10*a*e+7*b*d))*x/c^2/(-4*a*c+b^2)^2-1/2*e^3*(12*c^2*d^2-b^2*e^2-4*c*e*(-4*a*e+3*b*d))*x^2/c/(-4*a*c+b^2)^2-1/2*(e*x+d)^4*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2-1/2*(e*x+d)^3*(7*b^2*d*e-4*a*c*d*e-6*b*(a*e^2+c*d^2)-(12*c^2*d^2-b^2*e^2-4*c*e*(-4*a*e+3*b*d))*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-(12*c^5*d^5-b^5*e^5+10*a*b^3*c*e^5-30*a^2*b*c^2*e^5-10*c^4*d^3*e*(-4*a*e+3*b*d)+20*c^3*d*e^2*(3*a^2*e^2-3*a*b*d*e+b^2*d^2))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/c^3/(-4*a*c+b^2)^(5/2)+1/2*e^5*ln(c*x^2+b*x+a)/c^3,1],
[(e*x+d)^4/(c*x^2+b*x+a)^3,x,4,-1/2*(e*x+d)^3*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2+3*(a*e^2-b*d*e+c*d^2)*(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-12*(a*e^2-b*d*e+c*d^2)^2*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(e*x+d)^3/(c*x^2+b*x+a)^3,x,4,-1/2*(2*c*x+b)*(e*x+d)^3/(-4*a*c+b^2)/(c*x^2+b*x+a)^2+3/2*(-b*e+2*c*d)*(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-6*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(e*x+d)^2/(c*x^2+b*x+a)^3,x,5,-1/2*(2*c*x+b)*(e*x+d)^2/(-4*a*c+b^2)/(c*x^2+b*x+a)^2+(e*x+d)*(3*b*c*d-b^2*e-2*a*c*e+3*c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-2*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[(e*x+d)/(c*x^2+b*x+a)^3,x,4,-1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2+3/2*(-b*e+2*c*d)*(2*c*x+b)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-6*c*(-b*e+2*c*d)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[1/(c*x^2+b*x+a)^3,x,4,-1/2*(2*c*x+b)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2+3*c*(2*c*x+b)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-12*c^2*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2),1],
[1/(e*x+d)/(c*x^2+b*x+a)^3,x,8,-1/2*(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^2+1/2*(b^3*c*d*e^2+2*b^4*e^3+16*a^2*c^2*e^3-3*b^2*c*e*(5*a*e^2+3*c*d^2)+2*b*c^2*d*(7*a*e^2+3*c*d^2)+2*c*(-b*e+2*c*d)*(3*c^2*d^2-b^2*e^2-c*e*(-7*a*e+3*b*d))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)-(12*c^5*d^5-b^5*e^5+10*a*b^3*c*e^5-30*a^2*b*c^2*e^5-10*c^4*d^3*e*(-4*a*e+3*b*d)+20*c^3*d*e^2*(3*a^2*e^2-3*a*b*d*e+b^2*d^2))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(5/2)/(a*e^2-b*d*e+c*d^2)^3+e^5*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^3-1/2*e^5*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3,1],
[(e*x+d)^4/(c*x^2+b*x+a)^4,x,5,-1/3*(2*c*x+b)*(e*x+d)^4/(-4*a*c+b^2)/(c*x^2+b*x+a)^3+1/3*(e*x+d)^3*(5*b*c*d-2*b^2*e-2*a*c*e+5*c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^2-2*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^3/(c*x^2+b*x+a)+8*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(7/2),1],
[(e*x+d)^3/(c*x^2+b*x+a)^4,x,6,-1/3*(2*c*x+b)*(e*x+d)^3/(-4*a*c+b^2)/(c*x^2+b*x+a)^3+1/6*(e*x+d)^2*(10*b*c*d-3*b^2*e-8*a*c*e+10*c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^2+1/3*(e*x+d)*(25*b^2*c*d*e+20*a*c^2*d*e-3*b^3*e^2-6*b*c*(3*a*e^2+5*c*d^2)-c*(60*c^2*d^2+11*b^2*e^2-4*c*e*(-4*a*e+15*b*d))*x)/(-4*a*c+b^2)^3/(c*x^2+b*x+a)+2*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(7/2),1],
[(e*x+d)^2/(c*x^2+b*x+a)^4,x,5,-1/3*(2*c*x+b)*(e*x+d)^2/(-4*a*c+b^2)/(c*x^2+b*x+a)^3+1/3*(e*x+d)*(5*b*c*d-b^2*e-6*a*c*e+5*c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^2+1/3*(20*b^2*c*d*e+40*a*c^2*d*e-b^3*e^2-2*b*c*(13*a*e^2+15*c*d^2)-12*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*x)/(-4*a*c+b^2)^3/(c*x^2+b*x+a)+8*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(7/2),1],
[(e*x+d)/(c*x^2+b*x+a)^4,x,5,-1/3*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^3+5/6*(-b*e+2*c*d)*(2*c*x+b)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^2-5*c*(-b*e+2*c*d)*(2*c*x+b)/(-4*a*c+b^2)^3/(c*x^2+b*x+a)+20*c^2*(-b*e+2*c*d)*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(7/2),1],
[1/(c*x^2+b*x+a)^4,x,5,-1/3*(2*c*x+b)/(-4*a*c+b^2)/(c*x^2+b*x+a)^3+5/3*c*(2*c*x+b)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)^2-10*c^2*(2*c*x+b)/(-4*a*c+b^2)^3/(c*x^2+b*x+a)+40*c^3*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(7/2),1],
[1/(e*x+d)/(c*x^2+b*x+a)^4,x,9,-1/3*(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^3-1/6*(6*a*c*(-4*a*c+b^2)*e^3-b*(10*c^3*d^3+3*b^3*e^3-c^2*d*e*(-22*a*e+15*b*d)+b*c*e^2*(-17*a*e+2*b*d))-c*(-b*e+2*c*d)*(10*c^2*d^2-3*b^2*e^2-2*c*e*(-11*a*e+5*b*d))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)^2+1/2*(b^5*c*d*e^4+2*b^6*e^5-64*a^3*c^3*e^5+b^4*c*e^3*(-23*a*e^2+c*d^2)-2*b^3*c^2*d*e^2*(5*a*e^2+17*c*d^2)-4*b*c^3*d*(19*a^2*e^4+16*a*c*d^2*e^2+5*c^2*d^4)+2*b^2*c^2*e*(43*a^2*e^4+48*a*c*d^2*e^2+25*c^2*d^4)-2*c*(-b*e+2*c*d)*(10*c^4*d^4+b^4*e^4+b^2*c*e^3*(-11*a*e+3*b*d)-4*c^3*d^2*e*(-8*a*e+5*b*d)+c^2*e^2*(38*a^2*e^2-32*a*b*d*e+7*b^2*d^2))*x)/(-4*a*c+b^2)^3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)+(40*c^7*d^7+b^7*e^7-14*a*b^5*c*e^7+70*a^2*b^3*c^2*e^7-140*a^3*b*c^3*e^7-28*c^6*d^5*e*(-6*a*e+5*b*d)+28*c^5*d^3*e^2*(10*a^2*e^2-15*a*b*d*e+6*b^2*d^2)-70*c^4*d*e^3*(-4*a^3*e^3+6*a^2*b*d*e^2-4*a*b^2*d^2*e+b^3*d^3))*arctanh((2*c*x+b)/sqrt(-4*a*c+b^2))/(-4*a*c+b^2)^(7/2)/(a*e^2-b*d*e+c*d^2)^4+e^7*ln(e*x+d)/(a*e^2-b*d*e+c*d^2)^4-1/2*e^7*ln(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^4,1],
[1/(1+2*x)/(5*x^2+3*x+2)^3,x,8,1/434*(37+20*x)/(5*x^2+3*x+2)^2+2*(2609+2290*x)/(235445*x^2+141267*x+94178)+125624/329623*arctan((3+10*x)/sqrt(31))/sqrt(31)+32/343*ln(1+2*x)-16/343*ln(5*x^2+3*x+2),1],
[1/(1+2*x)^2/(5*x^2+3*x+2)^3,x,8,-32/(343+686*x)+1/3038*(43-270*x)/(5*x^2+3*x+2)^2+(15179-51910*x)/(1648115*x^2+988869*x+659246)-1065012/2307361*arctan((3+10*x)/sqrt(31))/sqrt(31)+384/2401*ln(1+2*x)-192/2401*ln(5*x^2+3*x+2),1],
[1/(1+2*x)/(5*x^2+3*x+2)^4,x,9,1/651*(37+20*x)/(5*x^2+3*x+2)^3+4/141267*(1983+1805*x)/(5*x^2+3*x+2)^2+4*(180133+203230*x)/(51091565*x^2+30654939*x+20436626)+19007376/71528191*arctan((3+10*x)/sqrt(31))/sqrt(31)+128/2401*ln(1+2*x)-64/2401*ln(5*x^2+3*x+2),1],
[1/(1+2*x)^2/(5*x^2+3*x+2)^4,x,9,-128/(2401+4802*x)+1/4557*(43-270*x)/(5*x^2+3*x+2)^3+1/329623*(7117-27530*x)/(5*x^2+3*x+2)^2+2*(1739037-3736330*x)/(357640955*x^2+214584573*x+143056382)-116056984/500697337*arctan((3+10*x)/sqrt(31))/sqrt(31)+2048/16807*ln(1+2*x)-1024/16807*ln(5*x^2+3*x+2),1],
[(4+x)/(x^2+4*x+5)^2,x,3,(3+2*x)/(2*x^2+8*x+10)+arctan(2+x),1],
[(-1+3*x)/(x^2+x+1)^2,x,3,-1/3*(7+5*x)/(x^2+x+1)-10/3*arctan((1+2*x)/sqrt(3))/sqrt(3),1],
[(5+2*x)/(x^2+4*x+5),x,4,arctan(2+x)+ln(x^2+4*x+5),1],
[(-2+7*x)/(2*x^2-16*x+42),x,4,-13*arctan((4-x)/sqrt(5))/sqrt(5)+7/4*ln(x^2-8*x+21),1],
[(1+x)/(x^2-x+1)^3,x,4,-1/2*(1-x)/(x^2-x+1)^2-(1-2*x)/(2*x^2-2*x+2)-2*arctan((1-2*x)/sqrt(3))/sqrt(3),1],
[(-1+x)/(3*x^2-4*x+3),x,4,1/3*arctan((2-3*x)/sqrt(5))/sqrt(5)+1/6*ln(3*x^2-4*x+3),1],
[(31+5*x)/(3*x^2-4*x+11),x,4,-103/3*arctan((2-3*x)/sqrt(29))/sqrt(29)+5/6*ln(3*x^2-4*x+11),1],
[1/(-1+x)/(x^2+x+1),x,7,-arctan((1+2*x)/sqrt(3))/sqrt(3)+1/3*ln(1-x)-1/6*ln(x^2+x+1),1],
[2*((a/b)^(1/n)-x*cos((-1+2*k)*Pi/n))/((a/b)^(2/n)+x^2-2*(a/b)^(1/n)*x*cos((-1+2*k)*Pi/n)),x,5,-cos((-2*Pi*k+Pi)/n)*ln((a/b)^(2/n)+x^2-2*(a/b)^(1/n)*x*cos((-2*Pi*k+Pi)/n))-2*arctan(cot((-2*Pi*k+Pi)/n)-x*csc((-2*Pi*k+Pi)/n)/((a/b)^(1/n)))*sin((-2*Pi*k+Pi)/n),1],
[1/(sqrt(2)+x)^2/(x^2+x+1)^2,x,7,-1/49*(11+6*sqrt(2))/(sqrt(2)+x)-1/3*(24-22*sqrt(2)-(57-40*sqrt(2))*x)/(193-132*sqrt(2))/(x^2+x+1)+2/3*(129-85*sqrt(2))*arctan((1+2*x)/sqrt(3))/sqrt(3)/(193-132*sqrt(2))+2/343*(71+61*sqrt(2))*ln(sqrt(2)+x)+7*(1-sqrt(2))*ln(x^2+x+1)/(193-132*sqrt(2)),1],
[(e*x+d)^(5/2)*(c*x^2+b*x+a),x,2,2/7*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(7/2)/e^3-2/9*(-b*e+2*c*d)*(e*x+d)^(9/2)/e^3+2/11*c*(e*x+d)^(11/2)/e^3,1],
[(e*x+d)^(3/2)*(c*x^2+b*x+a),x,2,2/5*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(5/2)/e^3-2/7*(-b*e+2*c*d)*(e*x+d)^(7/2)/e^3+2/9*c*(e*x+d)^(9/2)/e^3,1],
[sqrt(e*x+d)*(c*x^2+b*x+a),x,2,2/3*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(3/2)/e^3-2/5*(-b*e+2*c*d)*(e*x+d)^(5/2)/e^3+2/7*c*(e*x+d)^(7/2)/e^3,1],
[(c*x^2+b*x+a)/sqrt(e*x+d),x,2,2*(a*e^2-b*d*e+c*d^2)*sqrt(e*x+d)/e^3-2/3*(-b*e+2*c*d)*(e*x+d)^(3/2)/e^3+2/5*c*(e*x+d)^(5/2)/e^3,1],
[(c*x^2+b*x+a)/(e*x+d)^(3/2),x,2,(-2*a*e^2+2*b*d*e-2*c*d^2)/e^3/sqrt(e*x+d)-2*(-b*e+2*c*d)*sqrt(e*x+d)/e^3+2/3*c*(e*x+d)^(3/2)/e^3,1],
[(c*x^2+b*x+a)/(e*x+d)^(5/2),x,2,1/3*(-2*a*e^2+2*b*d*e-2*c*d^2)/e^3/(e*x+d)^(3/2)+2*(-b*e+2*c*d)/e^3/sqrt(e*x+d)+2*c*sqrt(e*x+d)/e^3,1],
[(c*x^2+b*x+a)/(e*x+d)^(7/2),x,2,1/5*(-2*a*e^2+2*b*d*e-2*c*d^2)/e^3/(e*x+d)^(5/2)+2/3*(-b*e+2*c*d)/e^3/(e*x+d)^(3/2)-2*c/e^3/sqrt(e*x+d),1],
[(e*x+d)^(5/2)*(c*x^2+b*x+a)^2,x,2,2/7*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(7/2)/e^5-4/9*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(9/2)/e^5+2/11*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(11/2)/e^5-4/13*c*(-b*e+2*c*d)*(e*x+d)^(13/2)/e^5+2/15*c^2*(e*x+d)^(15/2)/e^5,1],
[(e*x+d)^(3/2)*(c*x^2+b*x+a)^2,x,2,2/5*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(5/2)/e^5-4/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(7/2)/e^5+2/9*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(9/2)/e^5-4/11*c*(-b*e+2*c*d)*(e*x+d)^(11/2)/e^5+2/13*c^2*(e*x+d)^(13/2)/e^5,1],
[sqrt(e*x+d)*(c*x^2+b*x+a)^2,x,2,2/3*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(3/2)/e^5-4/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(5/2)/e^5+2/7*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(7/2)/e^5-4/9*c*(-b*e+2*c*d)*(e*x+d)^(9/2)/e^5+2/11*c^2*(e*x+d)^(11/2)/e^5,1],
[(c*x^2+b*x+a)^2/sqrt(e*x+d),x,2,2*(a*e^2-b*d*e+c*d^2)^2*sqrt(e*x+d)/e^5-4/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(3/2)/e^5+2/5*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(5/2)/e^5-4/7*c*(-b*e+2*c*d)*(e*x+d)^(7/2)/e^5+2/9*c^2*(e*x+d)^(9/2)/e^5,1],
[(c*x^2+b*x+a)^2/(e*x+d)^(3/2),x,2,-2*(a*e^2-b*d*e+c*d^2)^2/e^5/sqrt(e*x+d)-4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*sqrt(e*x+d)/e^5+2/3*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(3/2)/e^5-4/5*c*(-b*e+2*c*d)*(e*x+d)^(5/2)/e^5+2/7*c^2*(e*x+d)^(7/2)/e^5,1],
[(c*x^2+b*x+a)^2/(e*x+d)^(5/2),x,2,-2/3*(a*e^2-b*d*e+c*d^2)^2/e^5/(e*x+d)^(3/2)+4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^5/sqrt(e*x+d)+2*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*sqrt(e*x+d)/e^5-4/3*c*(-b*e+2*c*d)*(e*x+d)^(3/2)/e^5+2/5*c^2*(e*x+d)^(5/2)/e^5,1],
[(c*x^2+b*x+a)^2/(e*x+d)^(7/2),x,2,-2/5*(a*e^2-b*d*e+c*d^2)^2/e^5/(e*x+d)^(5/2)+4/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)/e^5/(e*x+d)^(3/2)-2*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))/e^5/sqrt(e*x+d)-4*c*(-b*e+2*c*d)*sqrt(e*x+d)/e^5+2/3*c^2*(e*x+d)^(3/2)/e^5,1],
[(e*x+d)^(5/2)*(c*x^2+b*x+a)^3,x,2,2/7*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^(7/2)/e^7-2/3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(9/2)/e^7+6/11*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(11/2)/e^7-2/13*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(13/2)/e^7+2/5*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(15/2)/e^7-6/17*c^2*(-b*e+2*c*d)*(e*x+d)^(17/2)/e^7+2/19*c^3*(e*x+d)^(19/2)/e^7,1],
[(e*x+d)^(3/2)*(c*x^2+b*x+a)^3,x,2,2/5*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^(5/2)/e^7-6/7*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(7/2)/e^7+2/3*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(9/2)/e^7-2/11*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(11/2)/e^7+6/13*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(13/2)/e^7-2/5*c^2*(-b*e+2*c*d)*(e*x+d)^(15/2)/e^7+2/17*c^3*(e*x+d)^(17/2)/e^7,1],
[sqrt(e*x+d)*(c*x^2+b*x+a)^3,x,2,2/3*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^(3/2)/e^7-6/5*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(5/2)/e^7+6/7*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(7/2)/e^7-2/9*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(9/2)/e^7+6/11*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(11/2)/e^7-6/13*c^2*(-b*e+2*c*d)*(e*x+d)^(13/2)/e^7+2/15*c^3*(e*x+d)^(15/2)/e^7,1],
[(c*x^2+b*x+a)^3/sqrt(e*x+d),x,2,2*(a*e^2-b*d*e+c*d^2)^3*sqrt(e*x+d)/e^7-2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(3/2)/e^7+6/5*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(5/2)/e^7-2/7*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(7/2)/e^7+2/3*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(9/2)/e^7-6/11*c^2*(-b*e+2*c*d)*(e*x+d)^(11/2)/e^7+2/13*c^3*(e*x+d)^(13/2)/e^7,1],
[(c*x^2+b*x+a)^3/(e*x+d)^(3/2),x,2,-2*(a*e^2-b*d*e+c*d^2)^3/e^7/sqrt(e*x+d)-6*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*sqrt(e*x+d)/e^7+2*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(3/2)/e^7-2/5*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(5/2)/e^7+6/7*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(7/2)/e^7-2/3*c^2*(-b*e+2*c*d)*(e*x+d)^(9/2)/e^7+2/11*c^3*(e*x+d)^(11/2)/e^7,1],
[(c*x^2+b*x+a)^3/(e*x+d)^(5/2),x,2,-2/3*(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)^(3/2)+6*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^7/sqrt(e*x+d)+6*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*sqrt(e*x+d)/e^7-2/3*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(3/2)/e^7+6/5*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(5/2)/e^7-6/7*c^2*(-b*e+2*c*d)*(e*x+d)^(7/2)/e^7+2/9*c^3*(e*x+d)^(9/2)/e^7,1],
[(c*x^2+b*x+a)^3/(e*x+d)^(7/2),x,2,-2/5*(a*e^2-b*d*e+c*d^2)^3/e^7/(e*x+d)^(5/2)+2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2/e^7/(e*x+d)^(3/2)-6*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))/e^7/sqrt(e*x+d)-2*(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*sqrt(e*x+d)/e^7+2*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(3/2)/e^7-6/5*c^2*(-b*e+2*c*d)*(e*x+d)^(5/2)/e^7+2/7*c^3*(e*x+d)^(7/2)/e^7,1],
[(e*x+d)^(5/2)/(c*x^2+b*x+a),x,7,2*e*(-b*e+2*c*d)*sqrt(e*x+d)/c^2+2/3*e*(e*x+d)^(3/2)/c-sqrt(2)*(e*(3*c^2*d^2+b^2*e^2-c*e*(a*e+3*b*d))+(-b*e+2*c*d)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/c^(5/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)+sqrt(2)*(2*c^3*d^3-b^2*(b+sqrt(-4*a*c+b^2))*e^3-3*c^2*d*e*(b*d+sqrt(-4*a*c+b^2)*d+2*a*e)+c*e^2*(3*b^2*d+a*sqrt(-4*a*c+b^2)*e+3*b*(sqrt(-4*a*c+b^2)*d+a*e)))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/c^(5/2)/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(e*x+d)^(3/2)/(c*x^2+b*x+a),x,5,2*e*sqrt(e*x+d)/c-sqrt(2)*(2*c^2*d^2+b*(b-sqrt(-4*a*c+b^2))*e^2-2*c*e*(b*d-sqrt(-4*a*c+b^2)*d+a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/c^(3/2)/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)+sqrt(2)*(2*c^2*d^2+b*(b+sqrt(-4*a*c+b^2))*e^2-2*c*e*(b*d+sqrt(-4*a*c+b^2)*d+a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/c^(3/2)/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[sqrt(e*x+d)/(c*x^2+b*x+a),x,4,-sqrt(2)*sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(c)/sqrt(-4*a*c+b^2)+sqrt(2)*sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c)/sqrt(-4*a*c+b^2),1],
[1/sqrt(e*x+d)/(c*x^2+b*x+a),x,4,-2*sqrt(2)*sqrt(c)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)+2*sqrt(2)*sqrt(c)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[1/(e*x+d)^(3/2)/(c*x^2+b*x+a),x,5,-2*e/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)-sqrt(2)*sqrt(c)*(2*c*d-(b+sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)+sqrt(2)*sqrt(c)*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2),1],
[1/(e*x+d)^(5/2)/(c*x^2+b*x+a),x,6,-2/3*e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)-2*e*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-sqrt(2)*sqrt(c)*(2*c^2*d^2+b*(b+sqrt(-4*a*c+b^2))*e^2-2*c*e*(b*d+sqrt(-4*a*c+b^2)*d+a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2+sqrt(2)*sqrt(c)*(2*c^2*d^2+b*(b-sqrt(-4*a*c+b^2))*e^2-2*c*e*(b*d-sqrt(-4*a*c+b^2)*d+a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2,1],
[(e*x+d)^(7/2)/(c*x^2+b*x+a)^2,x,7,e*(2*c^2*d^2+3*b^2*e^2-2*c*e*(5*a*e+b*d))*sqrt(e*x+d)/c^2/(-4*a*c+b^2)+e*(-b*e+2*c*d)*(e*x+d)^(3/2)/c/(-4*a*c+b^2)-(e*x+d)^(5/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+(e*(-b*e+2*c*d)*(c^2*d^2-3*b^2*e^2-c*e*(-13*a*e+b*d))+(8*c^4*d^4-3*b^4*e^4-4*c^3*d^2*e*(-9*a*e+4*b*d)+b^2*c*e^3*(19*a*e+5*b*d)+c^2*e^2*(-20*a^2*e^2-36*a*b*d*e+3*b^2*d^2))/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(5/2)/(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)+(e*(-b*e+2*c*d)*(c^2*d^2-3*b^2*e^2-c*e*(-13*a*e+b*d))-(8*c^4*d^4-3*b^4*e^4-4*c^3*d^2*e*(-9*a*e+4*b*d)+b^2*c*e^3*(19*a*e+5*b*d)+c^2*e^2*(-20*a^2*e^2-36*a*b*d*e+3*b^2*d^2))/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(5/2)/(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(e*x+d)^(5/2)/(c*x^2+b*x+a)^2,x,7,e*(-b*e+2*c*d)*sqrt(e*x+d)/c/(-4*a*c+b^2)-(e*x+d)^(3/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+(e*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))+(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(3/2)/(-4*a*c+b^2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)+(e*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))-(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(3/2)/(-4*a*c+b^2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x,5,-sqrt(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)+(8*c^2*d^2+b*(b-sqrt(-4*a*c+b^2))*e^2-2*c*e*(4*b*d-sqrt(-4*a*c+b^2)*d-2*a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)-(8*c^2*d^2+b*(b+sqrt(-4*a*c+b^2))*e^2-2*c*e*(4*b*d+sqrt(-4*a*c+b^2)*d-2*a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[sqrt(e*x+d)/(c*x^2+b*x+a)^2,x,5,-(2*c*x+b)*sqrt(e*x+d)/(-4*a*c+b^2)/(c*x^2+b*x+a)+sqrt(2)*sqrt(c)*(4*c*d-(2*b-sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)-sqrt(2)*sqrt(c)*(4*c*d-(2*b+sqrt(-4*a*c+b^2))*e)*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[1/sqrt(e*x+d)/(c*x^2+b*x+a)^2,x,5,-sqrt(e*x+d)*(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)+sqrt(c)*(8*c^2*d^2-b*(b+sqrt(-4*a*c+b^2))*e^2-2*c*e*(4*b*d-sqrt(-4*a*c+b^2)*d-6*a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)-sqrt(c)*(8*c^2*d^2-b*(b-sqrt(-4*a*c+b^2))*e^2-2*c*e*(4*b*d+sqrt(-4*a*c+b^2)*d-6*a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2),1],
[1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^2,x,6,-e*(2*c^2*d^2+3*b^2*e^2-2*c*e*(5*a*e+b*d))/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/(c*x^2+b*x+a)+sqrt(c)*(8*c^3*d^3+3*b^2*(b+sqrt(-4*a*c+b^2))*e^3-2*c^2*d*e*(6*b*d-sqrt(-4*a*c+b^2)*d-16*a*e)-2*c*e^2*(b^2*d+b*sqrt(-4*a*c+b^2)*d+8*a*b*e+5*a*sqrt(-4*a*c+b^2)*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2-sqrt(c)*(8*c^3*d^3+3*b^2*(b-sqrt(-4*a*c+b^2))*e^3-2*c^2*d*e*(6*b*d+sqrt(-4*a*c+b^2)*d-16*a*e)-2*c*e^2*(b^2*d-b*sqrt(-4*a*c+b^2)*d+8*a*b*e-5*a*sqrt(-4*a*c+b^2)*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(3/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2,1],
[(e*x+d)^(7/2)/(c*x^2+b*x+a)^3,x,8,-1/4*e*(24*c^2*d^2+b^2*e^2-4*c*e*(-5*a*e+6*b*d))*sqrt(e*x+d)/c/(-4*a*c+b^2)^2-1/2*(e*x+d)^(5/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2-1/4*(e*x+d)^(3/2)*(11*b^2*d*e+4*a*c*d*e-12*b*(a*e^2+c*d^2)-(24*c^2*d^2+b^2*e^2-4*c*e*(-5*a*e+6*b*d))*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-1/4*(e*(-b*e+2*c*d)*(12*c^2*d^2-b^2*e^2-4*c*e*(-4*a*e+3*b*d))+(96*c^4*d^4-b^4*e^4-8*c^3*d^2*e*(-19*a*e+24*b*d)-2*b^2*c*e^3*(-9*a*e+5*b*d)+2*c^2*e^2*(20*a^2*e^2-76*a*b*d*e+53*b^2*d^2))/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(3/2)/(-4*a*c+b^2)^2/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)-1/4*(e*(-b*e+2*c*d)*(12*c^2*d^2-b^2*e^2-4*c*e*(-4*a*e+3*b*d))-(96*c^4*d^4-b^4*e^4-8*c^3*d^2*e*(-19*a*e+24*b*d)-2*b^2*c*e^3*(-9*a*e+5*b*d)+2*c^2*e^2*(20*a^2*e^2-76*a*b*d*e+53*b^2*d^2))/sqrt(-4*a*c+b^2))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/c^(3/2)/(-4*a*c+b^2)^2/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(e*x+d)^(5/2)/(c*x^2+b*x+a)^3,x,6,-1/2*(e*x+d)^(3/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2-3/4*sqrt(e*x+d)*(3*b^2*d*e+4*a*c*d*e-4*b*(a*e^2+c*d^2)-(8*c^2*d^2+b^2*e^2-4*c*e*(-a*e+2*b*d))*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-3/4*(32*c^3*d^3-b^2*(b-sqrt(-4*a*c+b^2))*e^3-8*c^2*d*e*(6*b*d-sqrt(-4*a*c+b^2)*d-3*a*e)+2*c*e^2*(9*b^2*d-4*b*sqrt(-4*a*c+b^2)*d-6*a*b*e+2*a*sqrt(-4*a*c+b^2)*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^(5/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)+3/4*((-b*e+2*c*d)*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))/sqrt(-4*a*c+b^2)-e*(8*c^2*d^2+b^2*e^2-4*c*e*(-a*e+2*b*d)))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/sqrt(c)/(-4*a*c+b^2)^2/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[(e*x+d)^(3/2)/(c*x^2+b*x+a)^3,x,6,-1/2*sqrt(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2+1/4*sqrt(e*x+d)*(12*b*c*d-7*b^2*e+4*a*c*e+12*c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/(c*x^2+b*x+a)-3/2*sqrt(c)*(16*c^2*d^2+b*(3*b-2*sqrt(-4*a*c+b^2))*e^2-4*c*e*(4*b*d-sqrt(-4*a*c+b^2)*d-a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(5/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)+3/2*sqrt(c)*(16*c^2*d^2+b*(3*b+2*sqrt(-4*a*c+b^2))*e^2-4*c*e*(4*b*d+sqrt(-4*a*c+b^2)*d-a*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(5/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e),1],
[sqrt(e*x+d)/(c*x^2+b*x+a)^3,x,6,-1/2*(2*c*x+b)*sqrt(e*x+d)/(-4*a*c+b^2)/(c*x^2+b*x+a)^2-1/4*sqrt(e*x+d)*(13*b^2*c*d*e-4*a*c^2*d*e-b^3*e^2-4*b*c*(2*a*e^2+3*c*d^2)-c*(24*c^2*d^2+b^2*e^2-4*c*e*(-5*a*e+6*b*d))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)-1/4*sqrt(c)*(96*c^3*d^3+b^2*(b+sqrt(-4*a*c+b^2))*e^3-8*c^2*d*e*(18*b*d-3*sqrt(-4*a*c+b^2)*d-13*a*e)+2*c*e^2*(23*b^2*d+10*a*sqrt(-4*a*c+b^2)*e-2*b*(6*sqrt(-4*a*c+b^2)*d+13*a*e)))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(5/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)+1/4*sqrt(c)*(96*c^3*d^3+b^2*(b-sqrt(-4*a*c+b^2))*e^3-8*c^2*d*e*(18*b*d+3*sqrt(-4*a*c+b^2)*d-13*a*e)+2*c*e^2*(23*b^2*d+12*b*sqrt(-4*a*c+b^2)*d-26*a*b*e-10*a*sqrt(-4*a*c+b^2)*e))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(5/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2),1],
[1/sqrt(e*x+d)/(c*x^2+b*x+a)^3,x,6,-1/2*sqrt(e*x+d)*(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^2-1/4*sqrt(e*x+d)*(5*a*c*e*(-b*e+2*c*d)^2-(2*a*c*e-b^2*e+b*c*d)*(12*c^2*d^2-3*b^2*e^2-7*c*e*(-2*a*e+b*d))-3*c*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)-3/4*sqrt(c)*(32*c^4*d^4+b^3*(b+sqrt(-4*a*c+b^2))*e^4-8*c^3*d^2*e*(8*b*d-sqrt(-4*a*c+b^2)*d-9*a*e)+2*b*c*e^3*(b^2*d+b*sqrt(-4*a*c+b^2)*d-5*a*b*e-4*a*sqrt(-4*a*c+b^2)*e)+2*c^2*e^2*(15*b^2*d^2-6*b*d*(sqrt(-4*a*c+b^2)*d+6*a*e)+4*a*e*(2*sqrt(-4*a*c+b^2)*d+7*a*e)))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(5/2)/sqrt(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2+3/4*sqrt(c)*(32*c^4*d^4+b^3*(b-sqrt(-4*a*c+b^2))*e^4-8*c^3*d^2*e*(8*b*d+sqrt(-4*a*c+b^2)*d-9*a*e)+2*c^2*e^2*(15*b^2*d^2-4*a*e*(2*sqrt(-4*a*c+b^2)*d-7*a*e)+6*b*d*(sqrt(-4*a*c+b^2)*d-6*a*e))+2*b*c*e^3*(b^2*d+4*a*sqrt(-4*a*c+b^2)*e-b*(sqrt(-4*a*c+b^2)*d+5*a*e)))*arctanh(sqrt(2)*sqrt(c)*sqrt(e*x+d)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(2)/(-4*a*c+b^2)^(5/2)/sqrt(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2,1],
[sqrt(e*x+d)/(a+I*b*x+c*x^2),x,9,e*arctanh((sqrt(2*c*d-I*b*e+2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e)))-2*sqrt(c)*sqrt(e*x+d))/sqrt(2*c*d-I*b*e-2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e))))/sqrt(c)/sqrt(2*c*d-I*b*e-2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e)))-e*arctanh((sqrt(2*c*d-I*b*e+2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e)))+2*sqrt(c)*sqrt(e*x+d))/sqrt(2*c*d-I*b*e-2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e))))/sqrt(c)/sqrt(2*c*d-I*b*e-2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e)))-e*arctanh(sqrt(2*c*d-I*b*e+2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e)))*sqrt(e*x+d)/(sqrt(c*d^2-e*(I*b*d-a*e))+sqrt(c)*(e*x+d)))/sqrt(c)/sqrt(2*c*d-I*b*e+2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e))),1],
[1/sqrt(e*x+d)/(a+I*b*x+c*x^2),x,9,e*arctanh((sqrt(2*c*d-I*b*e+2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e)))-2*sqrt(c)*sqrt(e*x+d))/sqrt(2*c*d-I*b*e-2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e))))/sqrt(c*d^2-e*(I*b*d-a*e))/sqrt(2*c*d-I*b*e-2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e)))-e*arctanh((sqrt(2*c*d-I*b*e+2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e)))+2*sqrt(c)*sqrt(e*x+d))/sqrt(2*c*d-I*b*e-2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e))))/sqrt(c*d^2-e*(I*b*d-a*e))/sqrt(2*c*d-I*b*e-2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e)))+e*arctanh(sqrt(2*c*d-I*b*e+2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e)))*sqrt(e*x+d)/(sqrt(c*d^2-e*(I*b*d-a*e))+sqrt(c)*(e*x+d)))/sqrt(c*d^2-e*(I*b*d-a*e))/sqrt(2*c*d-I*b*e+2*sqrt(c)*sqrt(c*d^2-e*(I*b*d-a*e))),1],
[(1+2*x)^(7/2)/(5*x^2+3*x+2),x,12,-76/125*sqrt(1+2*x)+16/75*(1+2*x)^(3/2)+4/25*(1+2*x)^(5/2)+1/125*sqrt(-337396/155+17150/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/125*sqrt(-337396/155+17150/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/125*sqrt(337396/155+17150/31*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[(1+2*x)^(5/2)/(5*x^2+3*x+2),x,12,16/25*sqrt(1+2*x)+4/15*(1+2*x)^(3/2)+1/25*sqrt(14324/155+490/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/25*sqrt(14324/155+490/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/25*sqrt(-14324/155+490/31*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[(1+2*x)^(3/2)/(5*x^2+3*x+2),x,10,4/5*sqrt(1+2*x)+1/5*sqrt(-356/155+14/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/5*sqrt(-356/155+14/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/5*sqrt(356/155+14/31*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[sqrt(1+2*x)/(5*x^2+3*x+2),x,9,-sqrt(2/(-10+5*sqrt(35)))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+sqrt(2/(-10+5*sqrt(35)))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-sqrt(2/(10+5*sqrt(35)))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[1/sqrt(1+2*x)/(5*x^2+3*x+2),x,9,-sqrt(2/(-14+7*sqrt(35)))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+sqrt(2/(-14+7*sqrt(35)))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+sqrt(2/(14+7*sqrt(35)))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[1/(1+2*x)^(3/2)/(5*x^2+3*x+2),x,10,-4/7/sqrt(1+2*x)+1/7*sqrt(-356/217+10/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/7*sqrt(-356/217+10/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/7*sqrt(356/217+10/31*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[1/(1+2*x)^(5/2)/(5*x^2+3*x+2),x,11,-4/21/(1+2*x)^(3/2)-16/49/sqrt(1+2*x)+1/49*sqrt(14324/217+350/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/49*sqrt(14324/217+350/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/49*sqrt(-14324/217+350/31*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[(1+2*x)^(7/2)/(5*x^2+3*x+2)^2,x,12,604/775*sqrt(1+2*x)-8/155*(1+2*x)^(3/2)-(5-4*x)*(1+2*x)^(5/2)/(155*x^2+93*x+62)+1/775*sqrt(-11365436/155+387590/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/775*sqrt(-11365436/155+387590/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/775*sqrt(11365436/155+387590/31*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[(1+2*x)^(5/2)/(5*x^2+3*x+2)^2,x,12,-8/155*sqrt(1+2*x)-(5-4*x)*(1+2*x)^(3/2)/(155*x^2+93*x+62)-1/155*sqrt(65356/155+4130/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/155*sqrt(65356/155+4130/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/155*sqrt(-65356/155+4130/31*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[(1+2*x)^(3/2)/(5*x^2+3*x+2)^2,x,10,-1/31*(5-4*x)*sqrt(1+2*x)/(5*x^2+3*x+2)-1/31*sqrt(436/155+94/155*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/31*sqrt(436/155+94/155*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/31*sqrt(-436/155+94/155*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[sqrt(1+2*x)/(5*x^2+3*x+2)^2,x,10,sqrt(1+2*x)*(3+10*x)/(155*x^2+93*x+62)-1/31*sqrt(436/217+94/217*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/31*sqrt(436/217+94/217*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/31*sqrt(-436/217+94/217*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[1/sqrt(1+2*x)/(5*x^2+3*x+2)^2,x,10,sqrt(1+2*x)*(37+20*x)/(1085*x^2+651*x+434)-1/217*sqrt(65356/217+2950/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/217*sqrt(65356/217+2950/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/217*sqrt(-65356/217+2950/31*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[1/(1+2*x)^(3/2)/(5*x^2+3*x+2)^2,x,11,-604/1519/sqrt(1+2*x)+1/217*(37+20*x)/sqrt(1+2*x)/(5*x^2+3*x+2)+1/1519*sqrt(-11365436/217+276850/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/1519*sqrt(-11365436/217+276850/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/1519*sqrt(11365436/217+276850/31*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[1/(1+2*x)^(5/2)/(5*x^2+3*x+2)^2,x,12,-820/4557/(1+2*x)^(3/2)-4680/10633/sqrt(1+2*x)+1/217*(37+20*x)/(1+2*x)^(3/2)/(5*x^2+3*x+2)+5/10633*sqrt(25009084/217+752150/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-5/10633*sqrt(25009084/217+752150/31*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+5/10633*sqrt(-25009084/217+752150/31*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[(1+2*x)^(9/2)/(5*x^2+3*x+2)^3,x,13,-16/775*sqrt(1+2*x)-1/62*(5-4*x)*(1+2*x)^(7/2)/(5*x^2+3*x+2)^2-sqrt(1+2*x)*(10067+12518*x)/(240250*x^2+144150*x+96100)-3/24025*sqrt(125070961/155+12936245/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+3/24025*sqrt(125070961/155+12936245/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-3/24025*sqrt(-125070961/155+12936245/62*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[(1+2*x)^(7/2)/(5*x^2+3*x+2)^3,x,11,-1/62*(5-4*x)*(1+2*x)^(5/2)/(5*x^2+3*x+2)^2-(957-592*x)*sqrt(1+2*x)/(48050*x^2+28830*x+19220)-1/4805*sqrt(4825531/155+361375/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/4805*sqrt(4825531/155+361375/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/4805*sqrt(-4825531/155+361375/62*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[(1+2*x)^(5/2)/(5*x^2+3*x+2)^3,x,11,-1/62*(5-4*x)*(1+2*x)^(3/2)/(5*x^2+3*x+2)^2+3*sqrt(1+2*x)*(11+78*x)/(9610*x^2+5766*x+3844)-3/961*sqrt(7541/155+541/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+3/961*sqrt(7541/155+541/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-3/961*sqrt(-7541/155+541/62*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[(1+2*x)^(3/2)/(5*x^2+3*x+2)^3,x,11,-1/62*(5-4*x)*sqrt(1+2*x)/(5*x^2+3*x+2)^2+sqrt(1+2*x)*(67+120*x)/(9610*x^2+5766*x+3844)-3/961*sqrt(7541/217+2705/434*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+3/961*sqrt(7541/217+2705/434*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+3/961*sqrt(-7541/217+2705/434*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[sqrt(1+2*x)/(5*x^2+3*x+2)^3,x,11,1/62*sqrt(1+2*x)*(3+10*x)/(5*x^2+3*x+2)^2+sqrt(1+2*x)*(599+1790*x)/(67270*x^2+40362*x+26908)-1/6727*sqrt(4825531/217+258125/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+1/6727*sqrt(4825531/217+258125/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))-1/6727*sqrt(-4825531/217+258125/62*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[1/sqrt(1+2*x)/(5*x^2+3*x+2)^3,x,11,1/434*sqrt(1+2*x)*(37+20*x)/(5*x^2+3*x+2)^2+sqrt(1+2*x)*(9227+7920*x)/(470890*x^2+282534*x+188356)-3/47089*sqrt(125070961/217+9240175/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+3/47089*sqrt(125070961/217+9240175/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+3/47089*sqrt(-125070961/217+9240175/62*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[1/(1+2*x)^(3/2)/(5*x^2+3*x+2)^3,x,12,-81090/329623/sqrt(1+2*x)+1/434*(37+20*x)/sqrt(1+2*x)/(5*x^2+3*x+2)^2+5/94178*(2329+2080*x)/sqrt(1+2*x)/(5*x^2+3*x+2)-15/329623*sqrt(-1128555881/217+55346725/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))-10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+15/329623*sqrt(-1128555881/217+55346725/62*sqrt(35))*arctan((sqrt(20+10*sqrt(35))+10*sqrt(1+2*x))/sqrt(-20+10*sqrt(35)))+15/329623*sqrt(1128555881/217+55346725/62*sqrt(35))*arctanh(sqrt(20+10*sqrt(35))*sqrt(1+2*x)/(5+sqrt(35)+10*x)),1],
[(e*x+d)^3*sqrt(c*x^2+b*x+a),x,5,1/128*(-b*e+2*c*d)*(16*c^2*d^2+7*b^2*e^2-4*c*e*(3*a*e+4*b*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4+1/5*e*(e*x+d)^2*(c*x^2+b*x+a)^(3/2)/c+1/240*e*(192*c^2*d^2+35*b^2*e^2-2*c*e*(16*a*e+75*b*d)+42*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/c^3-1/256*(-4*a*c+b^2)*(-b*e+2*c*d)*(16*c^2*d^2+7*b^2*e^2-4*c*e*(3*a*e+4*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(e*x+d)^2*sqrt(c*x^2+b*x+a),x,4,1/64*((-4*a*c+5*b^2)*e^2+16*c*d*(-b*e+c*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3+1/24*e*(6*c*e*x-5*b*e+16*c*d)*(c*x^2+b*x+a)^(3/2)/c^2-1/128*(-4*a*c+b^2)*((-4*a*c+5*b^2)*e^2+16*c*d*(-b*e+c*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(e*x+d)*sqrt(c*x^2+b*x+a),x,4,1/8*(-b*e+2*c*d)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^2+1/3*e*(c*x^2+b*x+a)^(3/2)/c-1/16*(-4*a*c+b^2)*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[sqrt(c*x^2+b*x+a),x,3,1/4*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c-1/8*(-4*a*c+b^2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[sqrt(c*x^2+b*x+a)/(e*x+d),x,6,sqrt(c*x^2+b*x+a)/e-1/2*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e^2+sqrt(a*e^2-b*d*e+c*d^2)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^2,1],
[sqrt(c*x^2+b*x+a)/(e*x+d)^2,x,6,-sqrt(c*x^2+b*x+a)/e/(e*x+d)+sqrt(c)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^2-1/2*(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^2/sqrt(a*e^2-b*d*e+c*d^2),1],
[sqrt(c*x^2+b*x+a)/(e*x+d)^3,x,3,1/4*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-1/8*(-4*a*c+b^2)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[sqrt(c*x^2+b*x+a)/(e*x+d)^4,x,4,1/8*(-b*e+2*c*d)*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2-1/3*e*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^3-1/16*(-4*a*c+b^2)*(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[sqrt(c*x^2+b*x+a)/(e*x+d)^5,x,5,1/64*(16*c^2*d^2+5*b^2*e^2-4*c*e*(a*e+4*b*d))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^2-1/4*e*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^4-5/24*e*(-b*e+2*c*d)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^3-1/128*(-4*a*c+b^2)*(16*c^2*d^2+5*b^2*e^2-4*c*e*(a*e+4*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(e*x+d)^3*(c*x^2+b*x+a)^(3/2),x,6,-3/1024*(-4*a*c+b^2)*(-b*e+2*c*d)*(8*c^2*d^2+3*b^2*e^2-4*c*e*(a*e+2*b*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5+1/128*(-b*e+2*c*d)*(8*c^2*d^2+3*b^2*e^2-4*c*e*(a*e+2*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^4+1/7*e*(e*x+d)^2*(c*x^2+b*x+a)^(5/2)/c+1/280*e*(128*c^2*d^2+21*b^2*e^2-2*c*e*(8*a*e+49*b*d)+30*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(5/2)/c^3+3/2048*(-4*a*c+b^2)^2*(-b*e+2*c*d)*(8*c^2*d^2+3*b^2*e^2-4*c*e*(a*e+2*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(e*x+d)^2*(c*x^2+b*x+a)^(3/2),x,5,-1/512*(-4*a*c+b^2)*((-4*a*c+7*b^2)*e^2+24*c*d*(-b*e+c*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4+1/192*((-4*a*c+7*b^2)*e^2+24*c*d*(-b*e+c*d))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^3+1/60*e*(10*c*e*x-7*b*e+24*c*d)*(c*x^2+b*x+a)^(5/2)/c^2+1/1024*(-4*a*c+b^2)^2*((-4*a*c+7*b^2)*e^2+24*c*d*(-b*e+c*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(e*x+d)*(c*x^2+b*x+a)^(3/2),x,5,-3/128*(-4*a*c+b^2)*(-b*e+2*c*d)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3+1/16*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^2+1/5*e*(c*x^2+b*x+a)^(5/2)/c+3/256*(-4*a*c+b^2)^2*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(c*x^2+b*x+a)^(3/2),x,4,-3/64*(-4*a*c+b^2)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^2+1/8*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c+3/128*(-4*a*c+b^2)^2*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d),x,7,1/8*(8*c^2*d^2+b^2*e^2-2*c*e*(-4*a*e+5*b*d)-2*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/c/e^3+1/3*(c*x^2+b*x+a)^(3/2)/e-1/16*(-b*e+2*c*d)*(8*c^2*d^2-b^2*e^2-4*c*e*(-3*a*e+2*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/e^4+(a*e^2-b*d*e+c*d^2)^(3/2)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^4,1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d)^2,x,7,-3/4*(-2*c*e*x-3*b*e+4*c*d)*sqrt(c*x^2+b*x+a)/e^3-(c*x^2+b*x+a)^(3/2)/e/(e*x+d)+3/8*(8*c^2*d^2+b^2*e^2-4*c*e*(-a*e+2*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e^4-3/2*(-b*e+2*c*d)*sqrt(a*e^2-b*d*e+c*d^2)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^4,1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d)^3,x,7,3/4*(2*c*e*x-b*e+4*c*d)*sqrt(c*x^2+b*x+a)/e^3/(e*x+d)-1/2*(c*x^2+b*x+a)^(3/2)/e/(e*x+d)^2-3/2*sqrt(c)*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^4+3/8*(8*c^2*d^2+b^2*e^2-4*c*e*(-a*e+2*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^4/sqrt(a*e^2-b*d*e+c*d^2),1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d)^4,x,8,-c*sqrt(c*x^2+b*x+a)/e^3/(e*x+d)-1/8*(-b*e+2*c*d)*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^2/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-1/3*(c*x^2+b*x+a)^(3/2)/e/(e*x+d)^3+c^(3/2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^4-1/16*(-b*e+2*c*d)*(8*c^2*d^2-b^2*e^2-4*c*e*(-3*a*e+2*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^4/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d)^5,x,4,-3/64*(-4*a*c+b^2)*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2+1/8*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^4+3/128*(-4*a*c+b^2)^2*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d)^6,x,5,-3/128*(-4*a*c+b^2)*(-b*e+2*c*d)*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^2+1/16*(-b*e+2*c*d)*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^4-1/5*e*(c*x^2+b*x+a)^(5/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^5+3/256*(-4*a*c+b^2)^2*(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d)^7,x,6,-1/512*(-4*a*c+b^2)*(24*c^2*d^2+7*b^2*e^2-4*c*e*(a*e+6*b*d))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^4/(e*x+d)^2+1/192*(24*c^2*d^2+7*b^2*e^2-4*c*e*(a*e+6*b*d))*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/(a*e^2-b*d*e+c*d^2)^3/(e*x+d)^4-1/6*e*(c*x^2+b*x+a)^(5/2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^6-7/60*e*(-b*e+2*c*d)*(c*x^2+b*x+a)^(5/2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^5+1/1024*(-4*a*c+b^2)^2*(24*c^2*d^2+7*b^2*e^2-4*c*e*(a*e+6*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(9/2),1],
[(e*x+d)^3*(c*x^2+b*x+a)^(5/2),x,7,5/32768*(-4*a*c+b^2)^2*(-b*e+2*c*d)*(32*c^2*d^2+11*b^2*e^2-4*c*e*(3*a*e+8*b*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^6-5/12288*(-4*a*c+b^2)*(-b*e+2*c*d)*(32*c^2*d^2+11*b^2*e^2-4*c*e*(3*a*e+8*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^5+1/768*(-b*e+2*c*d)*(32*c^2*d^2+11*b^2*e^2-4*c*e*(3*a*e+8*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^4+1/9*e*(e*x+d)^2*(c*x^2+b*x+a)^(7/2)/c+1/2016*e*(640*c^2*d^2+99*b^2*e^2-2*c*e*(32*a*e+243*b*d)+154*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(7/2)/c^3-5/65536*(-4*a*c+b^2)^3*(-b*e+2*c*d)*(32*c^2*d^2+11*b^2*e^2-4*c*e*(3*a*e+8*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(13/2),1],
[(e*x+d)^2*(c*x^2+b*x+a)^(5/2),x,6,5/16384*(-4*a*c+b^2)^2*((-4*a*c+9*b^2)*e^2+32*c*d*(-b*e+c*d))*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^5-5/6144*(-4*a*c+b^2)*((-4*a*c+9*b^2)*e^2+32*c*d*(-b*e+c*d))*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^4+1/384*((-4*a*c+9*b^2)*e^2+32*c*d*(-b*e+c*d))*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^3+1/112*e*(14*c*e*x-9*b*e+32*c*d)*(c*x^2+b*x+a)^(7/2)/c^2-5/32768*(-4*a*c+b^2)^3*((-4*a*c+9*b^2)*e^2+32*c*d*(-b*e+c*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(11/2),1],
[(e*x+d)*(c*x^2+b*x+a)^(5/2),x,6,5/1024*(-4*a*c+b^2)^2*(-b*e+2*c*d)*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^4-5/384*(-4*a*c+b^2)*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^3+1/24*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c^2+1/7*e*(c*x^2+b*x+a)^(7/2)/c-5/2048*(-4*a*c+b^2)^3*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(c*x^2+b*x+a)^(5/2),x,5,5/512*(-4*a*c+b^2)^2*(2*c*x+b)*sqrt(c*x^2+b*x+a)/c^3-5/192*(-4*a*c+b^2)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2)/c^2+1/12*(2*c*x+b)*(c*x^2+b*x+a)^(5/2)/c-5/1024*(-4*a*c+b^2)^3*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d),x,8,1/128*(128*c^4*d^4-3*b^4*e^4-2*b^2*c*e^3*(-14*a*e+5*b*d)-32*c^3*d^2*e*(-8*a*e+9*b*d)+8*c^2*e^2*(16*a^2*e^2-39*a*b*d*e+22*b^2*d^2)-2*c*e*(-b*e+2*c*d)*(16*c^2*d^2-3*b^2*e^2-4*c*e*(-7*a*e+4*b*d))*x)*sqrt(c*x^2+b*x+a)/c^2/e^5+1/48*(16*c^2*d^2+3*b^2*e^2-2*c*e*(-8*a*e+11*b*d)-6*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/c/e^3+1/5*(c*x^2+b*x+a)^(5/2)/e-1/256*(-b*e+2*c*d)*(128*c^4*d^4+3*b^4*e^4+8*b^2*c*e^3*(-5*a*e+2*b*d)-64*c^3*d^2*e*(-5*a*e+4*b*d)+16*c^2*e^2*(15*a^2*e^2-20*a*b*d*e+7*b^2*d^2))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2)/e^6+(a*e^2-b*d*e+c*d^2)^(5/2)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^6,1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d)^2,x,8,-5/64*(64*c^3*d^3-b^3*e^3+4*b*c*e^2*(-11*a*e+12*b*d)-16*c^2*d*e*(-4*a*e+7*b*d)-2*c*e*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*x)*sqrt(c*x^2+b*x+a)/c/e^5-5/24*(-6*c*e*x-7*b*e+8*c*d)*(c*x^2+b*x+a)^(3/2)/e^3-(c*x^2+b*x+a)^(5/2)/e/(e*x+d)+5/128*(128*c^4*d^4-b^4*e^4-8*b^2*c*e^3*(-3*a*e+2*b*d)-64*c^3*d^2*e*(-3*a*e+4*b*d)+48*c^2*e^2*(a^2*e^2-4*a*b*d*e+3*b^2*d^2))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2)/e^6-5/2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^(3/2)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^6,1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d)^3,x,8,5/8*(16*c^2*d^2+5*b^2*e^2-4*c*e*(-a*e+5*b*d)-4*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^5+5/12*(2*c*e*x-3*b*e+8*c*d)*(c*x^2+b*x+a)^(3/2)/e^3/(e*x+d)-1/2*(c*x^2+b*x+a)^(5/2)/e/(e*x+d)^2-5/16*(-b*e+2*c*d)*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c)/e^6+5/8*sqrt(a*e^2-b*d*e+c*d^2)*(16*c^2*d^2+3*b^2*e^2-4*c*e*(-a*e+4*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^6,1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d)^4,x,8,-5/8*(16*c^2*d^2+b^2*e^2-4*c*e*(-a*e+3*b*d)+4*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^5/(e*x+d)+5/12*(2*c*e*x-b*e+4*c*d)*(c*x^2+b*x+a)^(3/2)/e^3/(e*x+d)^2-1/3*(c*x^2+b*x+a)^(5/2)/e/(e*x+d)^3+5/8*sqrt(c)*(16*c^2*d^2+3*b^2*e^2-4*c*e*(-a*e+4*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^6-5/16*(-b*e+2*c*d)*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^6/sqrt(a*e^2-b*d*e+c*d^2),1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d)^5,x,9,5/2*c*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/e^5/(e*x+d)+5/64*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^4/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2+5/24*(6*c*e*x-b*e+8*c*d)*(c*x^2+b*x+a)^(3/2)/e^3/(e*x+d)^3-1/4*(c*x^2+b*x+a)^(5/2)/e/(e*x+d)^4-5/2*c^(3/2)*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^6+5/128*(128*c^4*d^4-b^4*e^4-8*b^2*c*e^3*(-3*a*e+2*b*d)-64*c^3*d^2*e*(-3*a*e+4*b*d)+48*c^2*e^2*(a^2*e^2-4*a*b*d*e+3*b^2*d^2))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^6/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d)^6,x,10,-c^2*sqrt(c*x^2+b*x+a)/e^5/(e*x+d)-1/128*(-b*e+2*c*d)*(16*c^2*d^2-3*b^2*e^2-4*c*e*(-7*a*e+4*b*d))*(b*d-2*a*e+(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^4/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^2-1/3*c*(c*x^2+b*x+a)^(3/2)/e^3/(e*x+d)^3-1/16*(-b*e+2*c*d)*(b*d-2*a*e+(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/e^2/(a*e^2-b*d*e+c*d^2)/(e*x+d)^4-1/5*(c*x^2+b*x+a)^(5/2)/e/(e*x+d)^5+c^(5/2)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/e^6-1/256*(-b*e+2*c*d)*(128*c^4*d^4+3*b^4*e^4+8*b^2*c*e^3*(-5*a*e+2*b*d)-64*c^3*d^2*e*(-5*a*e+4*b*d)+16*c^2*e^2*(15*a^2*e^2-20*a*b*d*e+7*b^2*d^2))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/e^6/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(1+x)^3*sqrt(x^2+2*x+2),x,2,-2/15*(x^2+2*x+2)^(3/2)+1/5*(1+x)^2*(x^2+2*x+2)^(3/2),1],
[(-2+3*x)*sqrt(9*x^2+12*x+8),x,4,-2/3*(2+3*x)*sqrt(9*x^2+12*x+8)+1/9*(9*x^2+12*x+8)^(3/2)-8/3*arcsinh(1+3/2*x),1],
[(7-2*x)*sqrt(-4*x^2+16*x+9),x,4,-3/2*(2-x)*sqrt(-4*x^2+16*x+9)+1/6*(-4*x^2+16*x+9)^(3/2)-75/4*arcsin(4/5-2/5*x),1],
[sqrt(x^2-x-1)/(1+x),x,6,sqrt(x^2-x-1)+3/2*arctanh(1/2*(1-2*x)/sqrt(x^2-x-1))+arctanh(1/2*(1+3*x)/sqrt(x^2-x-1)),1],
[sqrt(x^2-x-1)/(1-x),x,6,-sqrt(x^2-x-1)-arctan(1/2*(3-x)/sqrt(x^2-x-1))+1/2*arctanh(1/2*(1-2*x)/sqrt(x^2-x-1)),1],
[(e*x+d)^4/sqrt(c*x^2+b*x+a),x,5,7/24*e*(-b*e+2*c*d)*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c^2+1/4*e*(e*x+d)^3*sqrt(c*x^2+b*x+a)/c+1/192*e*(608*c^3*d^3-105*b^3*e^3+20*b*c*e^2*(11*a*e+24*b*d)-8*c^2*d*e*(64*a*e+101*b*d)+2*c*e*(104*c^2*d^2+35*b^2*e^2-4*c*e*(9*a*e+26*b*d))*x)*sqrt(c*x^2+b*x+a)/c^4+1/128*(128*c^4*d^4+35*b^4*e^4-128*c^3*d^2*e*(3*a*e+2*b*d)-40*b^2*c*e^3*(3*a*e+4*b*d)+48*c^2*e^2*(a^2*e^2+8*a*b*d*e+6*b^2*d^2))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(9/2),1],
[(e*x+d)^3/sqrt(c*x^2+b*x+a),x,4,1/3*e*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c+1/24*e*(64*c^2*d^2+15*b^2*e^2-2*c*e*(8*a*e+27*b*d)+10*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/c^3+1/16*(-b*e+2*c*d)*(8*c^2*d^2+5*b^2*e^2-4*c*e*(3*a*e+2*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(e*x+d)^2/sqrt(c*x^2+b*x+a),x,3,1/4*e*(2*c*e*x-3*b*e+8*c*d)*sqrt(c*x^2+b*x+a)/c^2+1/8*((-4*a*c+3*b^2)*e^2+8*c*d*(-b*e+c*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(e*x+d)/sqrt(c*x^2+b*x+a),x,3,e*sqrt(c*x^2+b*x+a)/c+1/2*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[1/sqrt(c*x^2+b*x+a),x,2,arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/sqrt(c),1],
[1/(e*x+d)/sqrt(c*x^2+b*x+a),x,2,arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/sqrt(a*e^2-b*d*e+c*d^2),1],
[1/(e*x+d)^2/sqrt(c*x^2+b*x+a),x,3,-e*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)+1/2*(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[1/(e*x+d)^3/sqrt(c*x^2+b*x+a),x,4,-1/2*e*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-3/4*e*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)+1/8*(8*c^2*d^2+3*b^2*e^2-4*c*e*(a*e+2*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[(e*x+d)^4/(c*x^2+b*x+a)^(3/2),x,5,-2*(e*x+d)^3*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+2*e*(-b*e+2*c*d)*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)+1/4*e*(32*c^3*d^3-15*b^3*e^3+4*b*c*e^2*(13*a*e+12*b*d)-8*c^2*d*e*(16*a*e+5*b*d)+2*c*e*(8*c^2*d^2+5*b^2*e^2-4*c*e*(3*a*e+2*b*d))*x)*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)+3/8*e^2*(16*c^2*d^2+5*b^2*e^2-4*c*e*(a*e+4*b*d))*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(e*x+d)^3/(c*x^2+b*x+a)^(3/2),x,4,-2*(e*x+d)^2*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+e*(8*c^2*d^2+3*b^2*e^2-2*c*e*(4*a*e+3*b*d)+2*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)+3/2*e^2*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(e*x+d)^2/(c*x^2+b*x+a)^(3/2),x,3,(-2*b*c*d^2+8*a*c*d*e-2*a*b*e^2-2*(2*c^2*d^2+b^2*e^2-2*c*e*(a*e+b*d))*x)/c/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+e^2*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(3/2),1],
[(e*x+d)/(c*x^2+b*x+a)^(3/2),x,1,(-2*b*d+4*a*e-2*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a),1],
[1/(c*x^2+b*x+a)^(3/2),x,1,(-4*c*x-2*b)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a),1],
[1/(e*x+d)/(c*x^2+b*x+a)^(3/2),x,3,(-2*b*c*d+2*b^2*e-4*a*c*e-2*c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a)+e^2*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(3/2),1],
[1/(e*x+d)^2/(c*x^2+b*x+a)^(3/2),x,4,-e/(a*e^2-b*d*e+c*d^2)/(e*x+d)/sqrt(c*x^2+b*x+a)+(5*b^2*c*d*e-12*a*c^2*d*e-3*b^3*e^2-2*b*c*(-5*a*e^2+c*d^2)-c*(4*c^2*d^2+3*b^2*e^2-4*c*e*(2*a*e+b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*x^2+b*x+a)+3/2*e^2*(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[1/(e*x+d)^3/(c*x^2+b*x+a)^(3/2),x,5,-1/2*e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2/sqrt(c*x^2+b*x+a)-5/4*e*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)/sqrt(c*x^2+b*x+a)-1/4*(20*a*c*e*(-b*e+2*c*d)^2+(2*a*c*e-b^2*e+b*c*d)*(8*c^2*d^2+15*b^2*e^2-4*c*e*(3*a*e+7*b*d))+c*(-b*e+2*c*d)*(8*c^2*d^2+15*b^2*e^2-4*c*e*(13*a*e+2*b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*x^2+b*x+a)+3/8*e^2*(16*c^2*d^2+5*b^2*e^2-4*c*e*(a*e+4*b*d))*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(e*x+d)^5/(c*x^2+b*x+a)^(5/2),x,6,-2/3*(e*x+d)^4*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)-8/3*(e*x+d)^3*(3*b^2*d*e-4*a*c*d*e-2*b*(a*e^2+c*d^2)-(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a)-8/3*e*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*(e*x+d)^2*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)^2-1/3*e*(64*c^4*d^4-15*b^4*e^4-16*c^3*d^2*e*(-16*a*e+7*b*d)+10*b^2*c*e^3*(10*a*e+3*b*d)+8*c^2*e^2*(-16*a^2*e^2-25*a*b*d*e+b^2*d^2)+2*c*e*(-b*e+2*c*d)*(8*c^2*d^2-5*b^2*e^2-4*c*e*(-7*a*e+2*b*d))*x)*sqrt(c*x^2+b*x+a)/c^3/(-4*a*c+b^2)^2+5/2*e^4*(-b*e+2*c*d)*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(7/2),1],
[(e*x+d)^4/(c*x^2+b*x+a)^(5/2),x,5,-2/3*(e*x+d)^3*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)-4/3*(e*x+d)^2*(5*b^2*d*e-4*a*c*d*e-4*b*(a*e^2+c*d^2)-(8*c^2*d^2-b^2*e^2-4*c*e*(-3*a*e+2*b*d))*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a)-2/3*e*(32*c^3*d^3+3*b^3*e^3-20*a*b*c*e^3-8*c^2*d*e*(-8*a*e+5*b*d)+2*c*e*(8*c^2*d^2-b^2*e^2-4*c*e*(-3*a*e+2*b*d))*x)*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)^2+e^4*arctanh(1/2*(2*c*x+b)/sqrt(c)/sqrt(c*x^2+b*x+a))/c^(5/2),1],
[(e*x+d)^3/(c*x^2+b*x+a)^(5/2),x,2,-2/3*(e*x+d)^2*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+16/3*(a*e^2-b*d*e+c*d^2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^2/(c*x^2+b*x+a)^(5/2),x,2,-2/3*(2*c*x+b)*(e*x+d)^2/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+8/3*(-b*e+2*c*d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a),1],
[(e*x+d)/(c*x^2+b*x+a)^(5/2),x,2,1/3*(-2*b*d+4*a*e-2*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+8/3*(-b*e+2*c*d)*(2*c*x+b)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a),1],
[1/(c*x^2+b*x+a)^(5/2),x,2,1/3*(-4*c*x-2*b)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+16/3*c*(2*c*x+b)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a),1],
[1/(e*x+d)/(c*x^2+b*x+a)^(5/2),x,4,1/3*(-2*b*c*d+2*b^2*e-4*a*c*e-2*c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^(3/2)-2/3*(4*a*c*e*(-b*e+2*c*d)^2+(2*a*c*e-b^2*e+b*c*d)*(3*(-4*a*c+b^2)*e^2-4*c*d*(-b*e+2*c*d))-c*(-b*e+2*c*d)*(8*c^2*d^2-3*b^2*e^2-4*c*e*(-5*a*e+2*b*d))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*x^2+b*x+a)+e^4*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(5/2),1],
[1/(e*x+d)^2/(c*x^2+b*x+a)^(5/2),x,5,-e/(a*e^2-b*d*e+c*d^2)/(e*x+d)/(c*x^2+b*x+a)^(3/2)+1/3*(7*b^2*c*d*e-20*a*c^2*d*e-5*b^3*e^2-2*b*c*(-9*a*e^2+c*d^2)-c*(4*c^2*d^2+5*b^2*e^2-4*c*e*(4*a*e+b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)^(3/2)+1/3*(25*b^4*c*d*e^3+240*a^2*c^3*d*e^3-15*b^5*e^4-32*b^2*c^2*d*e*(6*a*e^2+c*d^2)+2*b^3*c*e^2*(55*a*e^2+3*c*d^2)+8*b*c^2*(-23*a^2*e^4+9*a*c*d^2*e^2+2*c^2*d^4)+c*(32*c^4*d^4-15*b^4*e^4-16*c^3*d^2*e*(-9*a*e+4*b*d)+20*b^2*c*e^3*(5*a*e+b*d)+4*c^2*e^2*(-32*a^2*e^2-36*a*b*d*e+3*b^2*d^2))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*x^2+b*x+a)+5/2*e^4*(-b*e+2*c*d)*arctanh(1/2*(b*d-2*a*e+(-b*e+2*c*d)*x)/sqrt(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a))/(a*e^2-b*d*e+c*d^2)^(7/2),1],
[(3+x)/sqrt(-x^2-4*x+5),x,3,-sqrt(-x^2-4*x+5)-arcsin(-2/3-1/3*x),1],
[(5-4*x)/sqrt(-4*x^2+12*x-8),x,3,sqrt(-4*x^2+12*x-8)+1/2*arcsin(3-2*x),1],
[(3+2*x)/sqrt(x^2+2*x+5),x,3,2*sqrt(x^2+2*x+5)+arcsinh(1/2+1/2*x),1],
[1/(1-x)/sqrt(x^2+2*x-4),x,2,arctan((3-2*x)/sqrt(x^2+2*x-4)),1],
[(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a),x,7,2/105*sqrt(e*x+d)*(3*c^2*d^2-4*b^2*e^2+c*e*(-5*a*e+9*b*d)+12*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/c^2/e+2/7*e*sqrt(e*x+d)*(c*x^2+b*x+a)^(3/2)/c-1/105*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(3*c^2*d^2+8*b^2*e^2-c*e*(29*a*e+3*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/e^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+4/105*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(3*c^2*d^2+2*b^2*e^2-c*e*(5*a*e+3*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/e^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(e*x+d)*sqrt(c*x^2+b*x+a),x,7,-2/15*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c/e+2/5*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/e-2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/e^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/e^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)/sqrt(e*x+d),x,6,2/3*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/e-1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+4/3*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)/(e*x+d)^(3/2),x,6,-2*sqrt(c*x^2+b*x+a)/e/sqrt(e*x+d)+2*sqrt(2)*sqrt(-4*a*c+b^2)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)/(e*x+d)^(5/2),x,7,-2/3*sqrt(c*x^2+b*x+a)/e/(e*x+d)^(3/2)+2/3*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)-1/3*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^2/(a*e^2-b*d*e+c*d^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+4/3*sqrt(2)*sqrt(-4*a*c+b^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(c*x^2+b*x+a)/(e*x+d)^(7/2),x,8,-2/5*sqrt(c*x^2+b*x+a)/e/(e*x+d)^(5/2)+2/15*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)+4/15*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*sqrt(c*x^2+b*x+a)/e/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^2/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^2/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(e*x+d)*(c*x^2+b*x+a)^(3/2),x,8,-8/315*(-b*e+2*c*d)*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^2/e^3+2/105*(e*x+d)^(3/2)*(8*c^2*d^2+b^2*e^2-c*e*(-14*a*e+13*b*d)-5*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/c/e^3+2/9*(e*x+d)^(3/2)*(c*x^2+b*x+a)^(3/2)/e-1/315*sqrt(2)*sqrt(-4*a*c+b^2)*(16*c^4*d^4-8*b^4*e^4-4*c^3*d^2*e*(-15*a*e+8*b*d)+b^2*c*e^3*(57*a*e+7*b*d)+3*c^2*e^2*(-28*a^2*e^2-20*a*b*d*e+3*b^2*d^2))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/e^4/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+8/315*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/e^4/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/sqrt(e*x+d),x,7,2/35*sqrt(e*x+d)*(8*c^2*d^2+b^2*e^2-c*e*(-10*a*e+11*b*d)-3*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/c/e^3+2/7*sqrt(e*x+d)*(c*x^2+b*x+a)^(3/2)/e-2/35*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/e^4/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/35*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(16*c^2*d^2-b^2*e^2-4*c*e*(-5*a*e+4*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/e^4/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d)^(3/2),x,7,-2/5*sqrt(e*x+d)*(-6*c*e*x-7*b*e+8*c*d)*sqrt(c*x^2+b*x+a)/e^3-2*(c*x^2+b*x+a)^(3/2)/e/sqrt(e*x+d)+1/5*sqrt(2)*sqrt(-4*a*c+b^2)*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^4/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-16/5*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^4/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d)^(5/2),x,7,2/3*(2*c*e*x-3*b*e+8*c*d)*sqrt(c*x^2+b*x+a)/e^3/sqrt(e*x+d)-2/3*(c*x^2+b*x+a)^(3/2)/e/(e*x+d)^(3/2)-8/3*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^4/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/3*sqrt(2)*sqrt(-4*a*c+b^2)*(16*c^2*d^2+3*b^2*e^2-4*c*e*(-a*e+4*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^4/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d)^(7/2),x,8,-2/5*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*sqrt(c*x^2+b*x+a)/e^3/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)+2/5*(6*c*e*x-b*e+8*c*d)*sqrt(c*x^2+b*x+a)/e^3/(e*x+d)^(3/2)-2/5*(c*x^2+b*x+a)^(3/2)/e/(e*x+d)^(5/2)+1/5*sqrt(2)*sqrt(-4*a*c+b^2)*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^4/(a*e^2-b*d*e+c*d^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-16/5*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^4/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(3/2)/(e*x+d)^(9/2),x,9,2/35*(16*c^2*d^2-b^2*e^2-4*c*e*(-5*a*e+4*b*d))*sqrt(c*x^2+b*x+a)/e^3/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)+4/35*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*sqrt(c*x^2+b*x+a)/e^3/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)-6/35*(10*c*e*x+b*e+8*c*d)*sqrt(c*x^2+b*x+a)/e^3/(e*x+d)^(5/2)-2/7*(c*x^2+b*x+a)^(3/2)/e/(e*x+d)^(7/2)-2/35*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^4/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/35*sqrt(2)*sqrt(-4*a*c+b^2)*(16*c^2*d^2-b^2*e^2-4*c*e*(-5*a*e+4*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^4/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/sqrt(e*x+d),x,8,2/693*sqrt(e*x+d)*(128*c^4*d^4-4*b^4*e^4-4*c^3*d^2*e*(-69*a*e+76*b*d)-b^2*c*e^3*(-27*a*e+7*b*d)+3*c^2*e^2*(60*a^2*e^2-124*a*b*d*e+65*b^2*d^2)-12*c*e*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*x)*sqrt(c*x^2+b*x+a)/c^2/e^5+10/693*sqrt(e*x+d)*(16*c^2*d^2+3*b^2*e^2-c*e*(-18*a*e+23*b*d)-7*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/2)/c/e^3+2/11*sqrt(e*x+d)*(c*x^2+b*x+a)^(5/2)/e-1/693*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(128*c^4*d^4+8*b^4*e^4+b^2*c*e^3*(-93*a*e+29*b*d)-4*c^3*d^2*e*(-93*a*e+64*b*d)+3*c^2*e^2*(124*a^2*e^2-124*a*b*d*e+33*b^2*d^2))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/e^6/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+4/693*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(128*c^4*d^4+2*b^4*e^4-4*c^3*d^2*e*(-69*a*e+64*b*d)+b^2*c*e^3*(-21*a*e+5*b*d)+3*c^2*e^2*(60*a^2*e^2-92*a*b*d*e+41*b^2*d^2))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/e^6/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d)^(3/2),x,8,-2/63*sqrt(e*x+d)*(128*c^3*d^3-b^3*e^3+3*b*c*e^2*(-36*a*e+37*b*d)-12*c^2*d*e*(-11*a*e+20*b*d)-3*c*e*(32*c^2*d^2+b^2*e^2-4*c*e*(-7*a*e+8*b*d))*x)*sqrt(c*x^2+b*x+a)/c/e^5-10/63*sqrt(e*x+d)*(-14*c*e*x-15*b*e+16*c*d)*(c*x^2+b*x+a)^(3/2)/e^3-2*(c*x^2+b*x+a)^(5/2)/e/sqrt(e*x+d)+2/63*sqrt(2)*sqrt(-4*a*c+b^2)*(128*c^4*d^4-b^4*e^4-4*c^3*d^2*e*(-57*a*e+64*b*d)-b^2*c*e^3*(-15*a*e+7*b*d)+3*c^2*e^2*(28*a^2*e^2-76*a*b*d*e+45*b^2*d^2))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/e^6/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/63*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(128*c^2*d^2-b^2*e^2-4*c*e*(-33*a*e+32*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/e^6/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d)^(5/2),x,8,2/21*sqrt(e*x+d)*(128*c^2*d^2+51*b^2*e^2-4*c*e*(-5*a*e+44*b*d)-48*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^5+10/21*(2*c*e*x-7*b*e+16*c*d)*(c*x^2+b*x+a)^(3/2)/e^3/sqrt(e*x+d)-2/3*(c*x^2+b*x+a)^(5/2)/e/(e*x+d)^(3/2)-1/21*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(128*c^2*d^2+3*b^2*e^2-4*c*e*(-29*a*e+32*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^6/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+4/21*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(128*c^2*d^2+27*b^2*e^2-4*c*e*(-5*a*e+32*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^6/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d)^(7/2),x,8,-2/15*(128*c^2*d^2+15*b^2*e^2-4*c*e*(-9*a*e+28*b*d)+16*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^5/sqrt(e*x+d)+2/15*(6*c*e*x-5*b*e+16*c*d)*(c*x^2+b*x+a)^(3/2)/e^3/(e*x+d)^(3/2)-2/5*(c*x^2+b*x+a)^(5/2)/e/(e*x+d)^(5/2)+2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(128*c^2*d^2+23*b^2*e^2-4*c*e*(-9*a*e+32*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^6/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/15*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(128*c^2*d^2+15*b^2*e^2-4*c*e*(-17*a*e+32*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/e^6/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d)^(9/2),x,9,2/21*(-b*e+2*c*d)*(128*c^2*d^2+3*b^2*e^2-4*c*e*(-29*a*e+32*b*d))*sqrt(c*x^2+b*x+a)/e^5/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)-2/21*(128*c^2*d^2+3*b^2*e^2-20*c*e*(-a*e+4*b*d)+48*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^5/(e*x+d)^(3/2)+2/21*(10*c*e*x-3*b*e+16*c*d)*(c*x^2+b*x+a)^(3/2)/e^3/(e*x+d)^(5/2)-2/7*(c*x^2+b*x+a)^(5/2)/e/(e*x+d)^(7/2)-1/21*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(128*c^2*d^2+3*b^2*e^2-4*c*e*(-29*a*e+32*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^6/(a*e^2-b*d*e+c*d^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+4/21*sqrt(2)*sqrt(-4*a*c+b^2)*(128*c^2*d^2+27*b^2*e^2-4*c*e*(-5*a*e+32*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^6/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(c*x^2+b*x+a)^(5/2)/(e*x+d)^(11/2),x,10,-2/63*(-b*e+2*c*d)*(128*c^2*d^2-b^2*e^2-4*c*e*(-33*a*e+32*b*d))*sqrt(c*x^2+b*x+a)/e^5/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)-4/63*(128*c^4*d^4-b^4*e^4-4*c^3*d^2*e*(-57*a*e+64*b*d)-b^2*c*e^3*(-15*a*e+7*b*d)+3*c^2*e^2*(28*a^2*e^2-76*a*b*d*e+45*b^2*d^2))*sqrt(c*x^2+b*x+a)/e^5/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)+2/21*(128*c^2*d^2-b^2*e^2-4*c*e*(7*a*e+12*b*d)+80*c*e*(-b*e+2*c*d)*x)*sqrt(c*x^2+b*x+a)/e^5/(e*x+d)^(5/2)+10/63*(14*c*e*x-b*e+16*c*d)*(c*x^2+b*x+a)^(3/2)/e^3/(e*x+d)^(7/2)-2/9*(c*x^2+b*x+a)^(5/2)/e/(e*x+d)^(9/2)+2/63*sqrt(2)*sqrt(-4*a*c+b^2)*(128*c^4*d^4-b^4*e^4-4*c^3*d^2*e*(-57*a*e+64*b*d)-b^2*c*e^3*(-15*a*e+7*b*d)+3*c^2*e^2*(28*a^2*e^2-76*a*b*d*e+45*b^2*d^2))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^6/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/63*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(128*c^2*d^2-b^2*e^2-4*c*e*(-33*a*e+32*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/e^6/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(7/2)/sqrt(c*x^2+b*x+a),x,8,2/105*e*(71*c^2*d^2+24*b^2*e^2-c*e*(25*a*e+71*b*d))*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^3+12/35*e*(-b*e+2*c*d)*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/c^2+2/7*e*(e*x+d)^(5/2)*sqrt(c*x^2+b*x+a)/c+8/105*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(11*c^2*d^2+6*b^2*e^2-c*e*(13*a*e+11*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^4/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/105*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*(71*c^2*d^2+24*b^2*e^2-c*e*(25*a*e+71*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^4/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(5/2)/sqrt(c*x^2+b*x+a),x,7,8/15*e*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^2+2/5*e*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/c+1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(23*c^2*d^2+8*b^2*e^2-c*e*(9*a*e+23*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-8/15*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(3/2)/sqrt(c*x^2+b*x+a),x,6,2/3*e*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c+2/3*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/3*sqrt(2)*sqrt(-4*a*c+b^2)*(a*e^2-b*d*e+c*d^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(e*x+d)/sqrt(c*x^2+b*x+a),x,2,sqrt(2)*sqrt(-4*a*c+b^2)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a),1],
[1/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),x,2,2*sqrt(2)*sqrt(-4*a*c+b^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[1/(e*x+d)^(3/2)/sqrt(c*x^2+b*x+a),x,4,-2*e*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)+sqrt(2)*sqrt(-4*a*c+b^2)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/(a*e^2-b*d*e+c*d^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a),1],
[1/(e*x+d)^(5/2)/sqrt(c*x^2+b*x+a),x,7,-2/3*e*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)-4/3*e*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)+2/3*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2/3*sqrt(2)*sqrt(-4*a*c+b^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[1/(e*x+d)^(7/2)/sqrt(c*x^2+b*x+a),x,8,-2/5*e*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(5/2)-8/15*e*(-b*e+2*c*d)*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)^(3/2)-2/15*e*(23*c^2*d^2+8*b^2*e^2-c*e*(9*a*e+23*b*d))*sqrt(c*x^2+b*x+a)/(a*e^2-b*d*e+c*d^2)^3/sqrt(e*x+d)+1/15*sqrt(2)*sqrt(-4*a*c+b^2)*(23*c^2*d^2+8*b^2*e^2-c*e*(9*a*e+23*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-8/15*sqrt(2)*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(7/2)/(c*x^2+b*x+a)^(3/2),x,8,-2*(e*x+d)^(5/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+4/3*e*(3*c^2*d^2+2*b^2*e^2-c*e*(5*a*e+3*b*d))*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)+2*e*(-b*e+2*c*d)*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)+1/3*sqrt(2)*(-b*e+2*c*d)*(3*c^2*d^2+8*b^2*e^2-c*e*(29*a*e+3*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/sqrt(-4*a*c+b^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-4/3*sqrt(2)*(a*e^2-b*d*e+c*d^2)*(3*c^2*d^2+2*b^2*e^2-c*e*(5*a*e+3*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2),x,7,-2*(e*x+d)^(3/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+2*e*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)+2*sqrt(2)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/sqrt(-4*a*c+b^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2*sqrt(2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x,6,-2*sqrt(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+sqrt(2)*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/sqrt(-4*a*c+b^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-4*sqrt(2)*(a*e^2-b*d*e+c*d^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(e*x+d)/(c*x^2+b*x+a)^(3/2),x,6,-2*(2*c*x+b)*sqrt(e*x+d)/(-4*a*c+b^2)/sqrt(c*x^2+b*x+a)+2*sqrt(2)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/sqrt(-4*a*c+b^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2*sqrt(2)*(-b*e+2*c*d)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[1/sqrt(e*x+d)/(c*x^2+b*x+a)^(3/2),x,6,-2*sqrt(e*x+d)*(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a)+sqrt(2)*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-4*sqrt(2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/sqrt(-4*a*c+b^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(3/2),x,7,-2*e/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a)+2*sqrt(e*x+d)*(3*b^2*c*d*e-8*a*c^2*d*e-2*b^3*e^2-b*c*(-7*a*e^2+c*d^2)-2*c*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*x^2+b*x+a)+2*sqrt(2)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-2*sqrt(2)*(-b*e+2*c*d)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[1/(e*x+d)^(5/2)/(c*x^2+b*x+a)^(3/2),x,8,-2/3*e/(a*e^2-b*d*e+c*d^2)/(e*x+d)^(3/2)/sqrt(c*x^2+b*x+a)-8/3*e*(-b*e+2*c*d)/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a)-2/3*sqrt(e*x+d)*(12*a*c*e*(-b*e+2*c*d)^2+(2*a*c*e-b^2*e+b*c*d)*(3*c^2*d^2+8*b^2*e^2-5*c*e*(a*e+3*b*d))+c*(-b*e+2*c*d)*(3*c^2*d^2+8*b^2*e^2-c*e*(29*a*e+3*b*d))*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*x^2+b*x+a)+1/3*sqrt(2)*(-b*e+2*c*d)*(3*c^2*d^2+8*b^2*e^2-c*e*(29*a*e+3*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^3/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)-4/3*sqrt(2)*(3*c^2*d^2+2*b^2*e^2-c*e*(5*a*e+3*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(9/2)/(c*x^2+b*x+a)^(5/2),x,9,-2/3*(e*x+d)^(7/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)-2/3*(e*x+d)^(5/2)*(11*b^2*d*e-12*a*c*d*e-8*b*(a*e^2+c*d^2)-(16*c^2*d^2-3*b^2*e^2-4*c*e*(-7*a*e+4*b*d))*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a)-8/3*e*(-b*e+2*c*d)*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c^2/(-4*a*c+b^2)^2-2/3*e*(16*c^2*d^2-3*b^2*e^2-4*c*e*(-7*a*e+4*b*d))*(e*x+d)^(3/2)*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)^2-1/3*sqrt(2)*(16*c^4*d^4-8*b^4*e^4-4*c^3*d^2*e*(-15*a*e+8*b*d)+b^2*c*e^3*(57*a*e+7*b*d)+3*c^2*e^2*(-28*a^2*e^2-20*a*b*d*e+3*b^2*d^2))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/(-4*a*c+b^2)^(3/2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+8/3*sqrt(2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(2*c^2*d^2-b^2*e^2-2*c*e*(-3*a*e+b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^3/(-4*a*c+b^2)^(3/2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(7/2)/(c*x^2+b*x+a)^(5/2),x,8,-2/3*(e*x+d)^(5/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)-2/3*(e*x+d)^(3/2)*(9*b^2*d*e-4*a*c*d*e-8*b*(a*e^2+c*d^2)-(16*c^2*d^2-b^2*e^2-4*c*e*(-5*a*e+4*b*d))*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a)-2/3*e*(16*c^2*d^2-b^2*e^2-4*c*e*(-5*a*e+4*b*d))*sqrt(e*x+d)*sqrt(c*x^2+b*x+a)/c/(-4*a*c+b^2)^2-2/3*sqrt(2)*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/(-4*a*c+b^2)^(3/2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/3*sqrt(2)*(a*e^2-b*d*e+c*d^2)*(16*c^2*d^2-b^2*e^2-4*c*e*(-5*a*e+4*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c^2/(-4*a*c+b^2)^(3/2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(5/2)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*(e*x+d)^(3/2)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)-2/3*sqrt(e*x+d)*(7*b^2*d*e+4*a*c*d*e-8*b*(a*e^2+c*d^2)-(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a)-1/3*sqrt(2)*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/(-4*a*c+b^2)^(3/2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+16/3*sqrt(2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/(-4*a*c+b^2)^(3/2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^(3/2)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*sqrt(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)+2/3*sqrt(e*x+d)*(8*b*c*d-5*b^2*e+4*a*c*e+8*c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)^2/sqrt(c*x^2+b*x+a)-8/3*sqrt(2)*(-b*e+2*c*d)*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/(-4*a*c+b^2)^(3/2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/3*sqrt(2)*(16*c^2*d^2+3*b^2*e^2-4*c*e*(-a*e+4*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/c/(-4*a*c+b^2)^(3/2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(e*x+d)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*(2*c*x+b)*sqrt(e*x+d)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(3/2)-2/3*sqrt(e*x+d)*(9*b^2*c*d*e-4*a*c^2*d*e-b^3*e^2-4*b*c*(a*e^2+2*c*d^2)-c*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)/sqrt(c*x^2+b*x+a)-1/3*sqrt(2)*(16*c^2*d^2+b^2*e^2-4*c*e*(-3*a*e+4*b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/(-4*a*c+b^2)^(3/2)/(a*e^2-b*d*e+c*d^2)/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+16/3*sqrt(2)*(-b*e+2*c*d)*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/(-4*a*c+b^2)^(3/2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[1/sqrt(e*x+d)/(c*x^2+b*x+a)^(5/2),x,7,-2/3*sqrt(e*x+d)*(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^(3/2)-2/3*sqrt(e*x+d)*(3*a*c*e*(-b*e+2*c*d)^2-(2*a*c*e-b^2*e+b*c*d)*(8*c^2*d^2-2*b^2*e^2-5*c*e*(-2*a*e+b*d))-2*c*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*x)/(-4*a*c+b^2)^2/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*x^2+b*x+a)-2/3*sqrt(2)*(-b*e+2*c*d)*(4*c^2*d^2-b^2*e^2-4*c*e*(-2*a*e+b*d))*sqrt(e*x+d)*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*EllipticE(sin(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2))),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/(-4*a*c+b^2)^(3/2)/(a*e^2-b*d*e+c*d^2)^2/sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(c*x^2+b*x+a)+2/3*sqrt(2)*(16*c^2*d^2-b^2*e^2-4*c*e*(-5*a*e+4*b*d))*sqrt(c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*sqrt(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))*InverseJacobiAM(arcsin(sqrt(1+(2*c*x+b)/sqrt(-4*a*c+b^2))/sqrt(2)),sqrt(-2*sqrt(-4*a*c+b^2)*e/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)))/(-4*a*c+b^2)^(3/2)/(a*e^2-b*d*e+c*d^2)/sqrt(e*x+d)/sqrt(c*x^2+b*x+a),1],
[sqrt(3+5*x)/sqrt(-12*x^2+5*x+2),x,2,-1/3*sqrt(19)*EllipticE(sin(arcsin(2*sqrt(2-3*x)/sqrt(11))),sqrt(55/76)),1],
[1/sqrt(b*x+a)/sqrt(d^2*x^2+2*c*d*x+c^2),x,3,2*(d*x+c)*arctan(sqrt(d)*sqrt(b*x+a)/sqrt(-a*d+b*c))/sqrt(d)/sqrt(-a*d+b*c)/sqrt(d^2*x^2+2*c*d*x+c^2),1],
[1/sqrt(b*x+a)/sqrt((d*x+c)^2),x,4,2*(d*x+c)*arctan(sqrt(d)*sqrt(b*x+a)/sqrt(-a*d+b*c))/sqrt(d)/sqrt(-a*d+b*c)/sqrt(d^2*x^2+2*c*d*x+c^2),1],
[1/(e*x+d)/(9*c^2*e^2*x^2+9*b*c*e^2*x+2*b^2*e^2+b*c*d*e-c^2*d^2)^(1/3),x,2,-1/4*sqrt(3)*(-c*e*(-2*b*e+c*d)+3*c^2*e^2*x)^(1/3)*(c*e*(b*e+c*d)+3*c^2*e^2*x)^(1/3)*arctan(1/sqrt(3)-2^(1/3)*(-c*e*(-2*b*e+c*d)+3*c^2*e^2*x)^(2/3)/sqrt(3)/c^(1/3)/e^(1/3)/(-b*e+2*c*d)^(1/3)/(c*e*(b*e+c*d)+3*c^2*e^2*x)^(1/3))*2^(2/3)/c^(2/3)/e^(5/3)/(-b*e+2*c*d)^(2/3)/(-(-2*b*e+c*d)*(b*e+c*d)+9*b*c*e^2*x+9*c^2*e^2*x^2)^(1/3)-1/4*(-c*e*(-2*b*e+c*d)+3*c^2*e^2*x)^(1/3)*(c*e*(b*e+c*d)+3*c^2*e^2*x)^(1/3)*ln(e*x+d)*2^(2/3)/c^(2/3)/e^(5/3)/(-b*e+2*c*d)^(2/3)/(-(-2*b*e+c*d)*(b*e+c*d)+9*b*c*e^2*x+9*c^2*e^2*x^2)^(1/3)+3/8*(-c*e*(-2*b*e+c*d)+3*c^2*e^2*x)^(1/3)*(c*e*(b*e+c*d)+3*c^2*e^2*x)^(1/3)*ln(-1/2*3^(1/3)*2^(2/3)*(-c*e*(-2*b*e+c*d)+3*c^2*e^2*x)^(2/3)/c^(1/3)/e^(1/3)/(-b*e+2*c*d)^(1/3)-6^(1/3)*(c*e*(b*e+c*d)+3*c^2*e^2*x)^(1/3))*2^(2/3)/c^(2/3)/e^(5/3)/(-b*e+2*c*d)^(2/3)/(-(-2*b*e+c*d)*(b*e+c*d)+9*b*c*e^2*x+9*c^2*e^2*x^2)^(1/3),1],
[(e*x+d)^3*(c*x^2+b*x+a)^(4/3),x,4,3/20*e*(e*x+d)^2*(c*x^2+b*x+a)^(7/3)/c+3/2380*e*(391*c^2*d^2+65*b^2*e^2-3*c*e*(17*a*e+100*b*d)+91*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(7/3)/c^3+1/1088*(-b*e+2*c*d)*(34*c^2*d^2+13*b^2*e^2-2*c*e*(9*a*e+17*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(4/3)*hypergeom([-4/3, 1/2],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))*2^(1/3)/c^4/(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(4/3),1],
[(e*x+d)^2*(c*x^2+b*x+a)^(4/3),x,3,3/119*e*(7*c*e*x-5*b*e+17*c*d)*(c*x^2+b*x+a)^(7/3)/c^2+1/272*((-3*a*c+5*b^2)*e^2+17*c*d*(-b*e+c*d))*(2*c*x+b)*(c*x^2+b*x+a)^(4/3)*hypergeom([-4/3, 1/2],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))*2^(1/3)/c^3/(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(4/3),1],
[(e*x+d)*(c*x^2+b*x+a)^(4/3),x,3,3/14*e*(c*x^2+b*x+a)^(7/3)/c+1/32*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(4/3)*hypergeom([-4/3, 1/2],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))*2^(1/3)/c^2/(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(4/3),1],
[(c*x^2+b*x+a)^(4/3),x,2,1/16*(2*c*x+b)*(c*x^2+b*x+a)^(4/3)*hypergeom([-4/3, 1/2],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))*2^(1/3)/c/(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(4/3),1],
[(c*x^2+b*x+a)^(4/3)/(e*x+d),x,2,3/2*(c*x^2+b*x+a)^(4/3)*AppellF1(-8/3,-4/3,-4/3,-5/3,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))*2^(2/3)/e/(e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(4/3)/(e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(4/3),1],
[(c*x^2+b*x+a)^(4/3)/(e*x+d)^2,x,2,12/5*2^(2/3)*(c*x^2+b*x+a)^(4/3)*AppellF1(-5/3,-4/3,-4/3,-2/3,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))/e/(e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(4/3)/(e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(4/3)/(e*x+d),1],
[(c*x^2+b*x+a)^(4/3)/(e*x+d)^3,x,2,6*2^(2/3)*(c*x^2+b*x+a)^(4/3)*AppellF1(-2/3,-4/3,-4/3,1/3,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))/e/(e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(4/3)/(e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(4/3)/(e*x+d)^2,1],
[(e*x+d)^2/(c*x^2+b*x+a)^(2/3),x,3,3/5*e*(c*e*x-2*b*e+5*c*d)*(c*x^2+b*x+a)^(1/3)/c^2+1/5*2^(1/3)*((-3*a*c+2*b^2)*e^2+5*c*d*(-b*e+c*d))*(2*c*x+b)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(2/3)*hypergeom([1/2, 2/3],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c^3/(c*x^2+b*x+a)^(2/3),1],
[(e*x+d)/(c*x^2+b*x+a)^(2/3),x,3,3/2*e*(c*x^2+b*x+a)^(1/3)/c+1/2*(-b*e+2*c*d)*(2*c*x+b)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(2/3)*hypergeom([1/2, 2/3],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))*2^(1/3)/c^2/(c*x^2+b*x+a)^(2/3),1],
[1/(c*x^2+b*x+a)^(2/3),x,2,2^(1/3)*(2*c*x+b)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(2/3)*hypergeom([1/2, 2/3],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c/(c*x^2+b*x+a)^(2/3),1],
[1/(e*x+d)/(c*x^2+b*x+a)^(2/3),x,2,-3/16*(e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(2/3)*(e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(2/3)*AppellF1(4/3,2/3,2/3,7/3,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))*2^(2/3)/e/(c*x^2+b*x+a)^(2/3),1],
[1/(e*x+d)^2/(c*x^2+b*x+a)^(2/3),x,2,-3/28*(e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(2/3)*(e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(2/3)*AppellF1(7/3,2/3,2/3,10/3,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))*2^(2/3)/e/(e*x+d)/(c*x^2+b*x+a)^(2/3),1],
[(e*x+d)^2/(c*x^2+b*x+a)^(4/3),x,3,-3*e*(-c*e*x-b*e+c*d)/c^2/(c*x^2+b*x+a)^(1/3)+2*2^(2/3)*(c^2*d^2+b^2*e^2-c*e*(3*a*e+b*d))*(2*c*x+b)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(4/3)*hypergeom([1/2, 4/3],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c^3/(c*x^2+b*x+a)^(4/3),1],
[(e*x+d)/(c*x^2+b*x+a)^(4/3),x,3,-3/2*e/c/(c*x^2+b*x+a)^(1/3)+2^(2/3)*(-b*e+2*c*d)*(2*c*x+b)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(4/3)*hypergeom([1/2, 4/3],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c^2/(c*x^2+b*x+a)^(4/3),1],
[1/(c*x^2+b*x+a)^(4/3),x,2,2*2^(2/3)*(2*c*x+b)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(4/3)*hypergeom([1/2, 4/3],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c/(c*x^2+b*x+a)^(4/3),1],
[1/(e*x+d)/(c*x^2+b*x+a)^(4/3),x,2,-3/64*(e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(4/3)*(e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(4/3)*AppellF1(8/3,4/3,4/3,11/3,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))*2^(1/3)/e/(c*x^2+b*x+a)^(4/3),1],
[1/(e*x+d)^2/(c*x^2+b*x+a)^(4/3),x,2,-3/88*(e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(4/3)*(e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(4/3)*AppellF1(11/3,4/3,4/3,14/3,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))*2^(1/3)/e/(e*x+d)/(c*x^2+b*x+a)^(4/3),1],
[(e*x+d)^2/(c*x^2+b*x+a)^(7/3),x,3,-3/40*e*(8*c*e*x-b*e+10*c*d)/c^2/(c*x^2+b*x+a)^(4/3)+4/5*2^(2/3)*((6*a*c+b^2)*e^2+10*c*d*(-b*e+c*d))*(2*c*x+b)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(7/3)*hypergeom([1/2, 7/3],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c^3/(c*x^2+b*x+a)^(7/3),1],
[(e*x+d)/(c*x^2+b*x+a)^(7/3),x,3,-3/8*e/c/(c*x^2+b*x+a)^(4/3)+4*2^(2/3)*(-b*e+2*c*d)*(2*c*x+b)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(7/3)*hypergeom([1/2, 7/3],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c^2/(c*x^2+b*x+a)^(7/3),1],
[1/(c*x^2+b*x+a)^(7/3),x,2,8*2^(2/3)*(2*c*x+b)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(7/3)*hypergeom([1/2, 7/3],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c/(c*x^2+b*x+a)^(7/3),1],
[1/(e*x+d)/(c*x^2+b*x+a)^(7/3),x,2,-3/448*(e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(7/3)*(e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(7/3)*AppellF1(14/3,7/3,7/3,17/3,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))*2^(1/3)/e/(c*x^2+b*x+a)^(7/3),1],
[1/(e*x+d)^2/(c*x^2+b*x+a)^(7/3),x,2,-3/544*(e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(7/3)*(e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^(7/3)*AppellF1(17/3,7/3,7/3,20/3,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))*2^(1/3)/e/(e*x+d)/(c*x^2+b*x+a)^(7/3),1],
[1/(e*x+d)/(3*c^2*e^2*x^2+3*b*c*e^2*x+b^2*e^2-b*c*d*e+c^2*d^2)^(1/3),x,1,-arctan(1/sqrt(3)+2*(-c*e*x-b*e+c*d)/sqrt(3)/(-b*e+2*c*d)^(1/3)/(3*c^2*e^2*x^2+3*b*c*e^2*x+b^2*e^2-b*c*d*e+c^2*d^2)^(1/3))/sqrt(3)/e/(-b*e+2*c*d)^(2/3)-1/2*ln(e*x+d)/e/(-b*e+2*c*d)^(2/3)+1/2*ln(3*c*e^2*(-b*e+c*d)-3*c^2*e^3*x-3*c*e^2*(-b*e+2*c*d)^(1/3)*(3*c^2*e^2*x^2+3*b*c*e^2*x+b^2*e^2-b*c*d*e+c^2*d^2)^(1/3))/e/(-b*e+2*c*d)^(2/3),1],
[(2+3*x)^4/(27*x^2-54*x+52)^(1/3),x,4,11/39*(2+3*x)^2*(27*x^2-54*x+52)^(2/3)+1/39*(2+3*x)^3*(27*x^2-54*x+52)^(2/3)+20/91*(76+29*x)*(27*x^2-54*x+52)^(2/3)-2000/91*5^(1/3)*(1-x)*hypergeom([1/3, 1/2],[3/2],-27/25*(1-x)^2),1],
[(2+3*x)^3/(27*x^2-54*x+52)^(1/3),x,3,1/30*(2+3*x)^2*(27*x^2-54*x+52)^(2/3)+1/7*(27+8*x)*(27*x^2-54*x+52)^(2/3)-100/7*5^(1/3)*(1-x)*hypergeom([1/3, 1/2],[3/2],-27/25*(1-x)^2),1],
[(2+3*x)^2/(27*x^2-54*x+52)^(1/3),x,2,1/42*(29+6*x)*(27*x^2-54*x+52)^(2/3)-30/7*5^(1/3)*(1-x)*hypergeom([1/3, 1/2],[3/2],-27/25*(1-x)^2),1],
[(2+3*x)/(27*x^2-54*x+52)^(1/3),x,2,1/12*(27*x^2-54*x+52)^(2/3)-5^(1/3)*(1-x)*hypergeom([1/3, 1/2],[3/2],-27/25*(1-x)^2),1],
[1/(2+3*x)/(27*x^2-54*x+52)^(1/3),x,1,-1/30*arctan(1/sqrt(3)+1/5*2^(2/3)*(8-3*x)/sqrt(3)*5^(2/3)/(27*x^2-54*x+52)^(1/3))/sqrt(3)*10^(1/3)-1/60*ln(2+3*x)*10^(1/3)+1/60*ln(216-81*x-27*10^(1/3)*(27*x^2-54*x+52)^(1/3))*10^(1/3),1],
[1/(2+3*x)^2/(27*x^2-54*x+52)^(1/3),x,4,-1/300*(27*x^2-54*x+52)^(2/3)/(2+3*x)-1/300*arctan(1/sqrt(3)+1/5*2^(2/3)*(8-3*x)/sqrt(3)*5^(2/3)/(27*x^2-54*x+52)^(1/3))/sqrt(3)*10^(1/3)-1/500*5^(1/3)*(1-x)*hypergeom([1/3, 1/2],[3/2],-27/25*(1-x)^2)-1/600*ln(2+3*x)*10^(1/3)+1/600*ln(216-81*x-27*10^(1/3)*(27*x^2-54*x+52)^(1/3))*10^(1/3),1],
[1/(2+3*x)^3/(27*x^2-54*x+52)^(1/3),x,5,-1/600*(27*x^2-54*x+52)^(2/3)/(2+3*x)^2-(27*x^2-54*x+52)^(2/3)/(3000+4500*x)-1/3000*arctan(1/sqrt(3)+1/5*2^(2/3)*(8-3*x)/sqrt(3)*5^(2/3)/(27*x^2-54*x+52)^(1/3))/sqrt(3)*10^(1/3)-1/2500*5^(1/3)*(1-x)*hypergeom([1/3, 1/2],[3/2],-27/25*(1-x)^2)-1/6000*ln(2+3*x)*10^(1/3)+1/6000*ln(216-81*x-27*10^(1/3)*(27*x^2-54*x+52)^(1/3))*10^(1/3),1],
[(2+3*x)^4/(27*x^2+54*x+28)^(1/3),x,4,-11/195*(2+3*x)^2*(27*x^2+54*x+28)^(2/3)+1/39*(2+3*x)^3*(27*x^2+54*x+28)^(2/3)+4/455*(8+29*x)*(27*x^2+54*x+28)^(2/3)+16/91*(1+x)*hypergeom([1/3, 1/2],[3/2],-27*(1+x)^2),1],
[(2+3*x)^3/(27*x^2+54*x+28)^(1/3),x,3,1/30*(2+3*x)^2*(27*x^2+54*x+28)^(2/3)-1/35*(1+8*x)*(27*x^2+54*x+28)^(2/3)-4/7*(1+x)*hypergeom([1/3, 1/2],[3/2],-27*(1+x)^2),1],
[(2+3*x)^2/(27*x^2+54*x+28)^(1/3),x,2,-1/42*(1-6*x)*(27*x^2+54*x+28)^(2/3)+6/7*(1+x)*hypergeom([1/3, 1/2],[3/2],-27*(1+x)^2),1],
[(2+3*x)/(27*x^2+54*x+28)^(1/3),x,2,1/12*(27*x^2+54*x+28)^(2/3)-(1+x)*hypergeom([1/3, 1/2],[3/2],-27*(1+x)^2),1],
[1/(2+3*x)/(27*x^2+54*x+28)^(1/3),x,1,-1/6*arctan(1/sqrt(3)+2^(2/3)*(4+3*x)/sqrt(3)/(27*x^2+54*x+28)^(1/3))*2^(1/3)/sqrt(3)-1/12*ln(2+3*x)*2^(1/3)+1/12*ln(-108-81*x+27*2^(1/3)*(27*x^2+54*x+28)^(1/3))*2^(1/3),1],
[1/(2+3*x)^2/(27*x^2+54*x+28)^(1/3),x,5,-1/12*(27*x^2+54*x+28)^(2/3)/(2+3*x)+1/12*arctan(1/sqrt(3)+2^(2/3)*(4+3*x)/sqrt(3)/(27*x^2+54*x+28)^(1/3))*2^(1/3)/sqrt(3)+1/4*(1+x)*hypergeom([1/3, 1/2],[3/2],-27*(1+x)^2)+1/24*ln(2+3*x)*2^(1/3)-1/24*ln(-108-81*x+27*2^(1/3)*(27*x^2+54*x+28)^(1/3))*2^(1/3),1],
[1/(2+3*x)^3/(27*x^2+54*x+28)^(1/3),x,5,-1/24*(27*x^2+54*x+28)^(2/3)/(2+3*x)^2+(27*x^2+54*x+28)^(2/3)/(24+36*x)-1/24*arctan(1/sqrt(3)+2^(2/3)*(4+3*x)/sqrt(3)/(27*x^2+54*x+28)^(1/3))*2^(1/3)/sqrt(3)-1/4*(1+x)*hypergeom([1/3, 1/2],[3/2],-27*(1+x)^2)-1/48*ln(2+3*x)*2^(1/3)+1/48*ln(-108-81*x+27*2^(1/3)*(27*x^2+54*x+28)^(1/3))*2^(1/3),1],
[1/(1+x)^(1/3)/(x^2-x+1)^(1/3),x,2,(x^3+1)^(1/3)*arctan((1+2*x/(x^3+1)^(1/3))/sqrt(3))/sqrt(3)/(1+x)^(1/3)/(x^2-x+1)^(1/3)-1/2*(x^3+1)^(1/3)*ln(-x+(x^3+1)^(1/3))/(1+x)^(1/3)/(x^2-x+1)^(1/3),1],
[1/(1+x)^(2/3)/(x^2-x+1)^(2/3),x,2,x*(x^3+1)^(2/3)*hypergeom([1/3, 2/3],[4/3],-x^3)/(1+x)^(2/3)/(x^2-x+1)^(2/3),1],
[1/(1-x)^(1/3)/(x^2+x+1)^(1/3),x,2,-(-x^3+1)^(1/3)*arctan((1-2*x/(-x^3+1)^(1/3))/sqrt(3))/sqrt(3)/(1-x)^(1/3)/(x^2+x+1)^(1/3)+1/2*(-x^3+1)^(1/3)*ln(x+(-x^3+1)^(1/3))/(1-x)^(1/3)/(x^2+x+1)^(1/3),1],
[1/(1-x)^(2/3)/(x^2+x+1)^(2/3),x,2,x*(-x^3+1)^(2/3)*hypergeom([1/3, 2/3],[4/3],x^3)/(1-x)^(2/3)/(x^2+x+1)^(2/3),1],
[1/(-c*e*x+b*e)^(1/3)/(c^2*x^2+b*c*x+b^2)^(1/3),x,2,-(-c^3*e*x^3+b^3*e)^(1/3)*arctan((1-2*c*e^(1/3)*x/(-c^3*e*x^3+b^3*e)^(1/3))/sqrt(3))/sqrt(3)/c/e^(1/3)/(-c*e*x+b*e)^(1/3)/(c^2*x^2+b*c*x+b^2)^(1/3)+1/2*(-c^3*e*x^3+b^3*e)^(1/3)*ln(c*e^(1/3)*x+(-c^3*e*x^3+b^3*e)^(1/3))/c/e^(1/3)/(-c*e*x+b*e)^(1/3)/(c^2*x^2+b*c*x+b^2)^(1/3),1],
[1/(-c*e*x+b*e)^(2/3)/(c^2*x^2+b*c*x+b^2)^(2/3),x,3,x*(1-c^3*x^3/b^3)^(2/3)*hypergeom([1/3, 2/3],[4/3],c^3*x^3/b^3)/(-c*e*x+b*e)^(2/3)/(c^2*x^2+b*c*x+b^2)^(2/3),1],
[(e*x+d)^3*(c*x^2+b*x+a)^(1/4),x,6,1/168*(-b*e+2*c*d)*(28*c^2*d^2+13*b^2*e^2-4*c*e*(6*a*e+7*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^4+2/9*e*(e*x+d)^2*(c*x^2+b*x+a)^(5/4)/c+1/630*e*(616*c^2*d^2+117*b^2*e^2-2*c*e*(56*a*e+243*b*d)+130*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(5/4)/c^3+1/168*(4*a*c-b^2)^(3/2)*(-b*e+2*c*d)*(28*c^2*d^2+13*b^2*e^2-4*c*e*(6*a*e+7*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^5/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)^2*(c*x^2+b*x+a)^(1/4),x,5,1/84*((-8*a*c+9*b^2)*e^2+28*c*d*(-b*e+c*d))*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^3+1/35*e*(10*c*e*x-9*b*e+28*c*d)*(c*x^2+b*x+a)^(5/4)/c^2+1/84*(4*a*c-b^2)^(3/2)*((-8*a*c+9*b^2)*e^2+28*c*d*(-b*e+c*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^4/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)*(c*x^2+b*x+a)^(1/4),x,5,1/6*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^2+2/5*e*(c*x^2+b*x+a)^(5/4)/c+1/6*(4*a*c-b^2)^(3/2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^3/(c*x^2+b*x+a)^(3/4),1],
[(c*x^2+b*x+a)^(1/4),x,4,1/3*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c+1/3*(4*a*c-b^2)^(3/2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^2/(c*x^2+b*x+a)^(3/4),1],
[(c*x^2+b*x+a)^(1/4)/(e*x+d),x,18,2*(c*x^2+b*x+a)^(1/4)/e-(4*a*c-b^2)^(3/4)*(a*e^2-b*d*e+c*d^2)^(1/4)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(3/2)/(c*x^2+b*x+a)^(3/4)-(4*a*c-b^2)^(3/4)*(a*e^2-b*d*e+c*d^2)^(1/4)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(3/2)/(c*x^2+b*x+a)^(3/4)-sqrt(2)*sqrt(4*a*c-b^2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/c/e^2/(c*x^2+b*x+a)^(3/4)-(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^2/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)-(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^2/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[(c*x^2+b*x+a)^(1/4)/(e*x+d)^2,x,18,-(c*x^2+b*x+a)^(1/4)/e/(e*x+d)+1/4*(4*a*c-b^2)^(3/4)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(3/2)/(a*e^2-b*d*e+c*d^2)^(3/4)/(c*x^2+b*x+a)^(3/4)+1/4*(4*a*c-b^2)^(3/4)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(3/2)/(a*e^2-b*d*e+c*d^2)^(3/4)/(c*x^2+b*x+a)^(3/4)+sqrt(2)*sqrt(4*a*c-b^2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/e^2/(c*x^2+b*x+a)^(3/4)+1/4*(-4*a*c+b^2)*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^2/(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)+1/4*(-4*a*c+b^2)*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^2/(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)^3*(c*x^2+b*x+a)^(3/4),x,6,1/120*(-b*e+2*c*d)*(12*c^2*d^2+5*b^2*e^2-4*c*e*(2*a*e+3*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(3/4)/c^4+2/11*e*(e*x+d)^2*(c*x^2+b*x+a)^(7/4)/c+1/462*e*(312*c^2*d^2+55*b^2*e^2-2*c*e*(24*a*e+121*b*d)+70*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(7/4)/c^3-1/80*(-4*a*c+b^2)^(3/2)*(-b*e+2*c*d)*(12*c^2*d^2+5*b^2*e^2-4*c*e*(2*a*e+3*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^5/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)^2*(c*x^2+b*x+a)^(3/4),x,5,1/180*((-8*a*c+11*b^2)*e^2+36*c*d*(-b*e+c*d))*(2*c*x+b)*(c*x^2+b*x+a)^(3/4)/c^3+1/63*e*(14*c*e*x-11*b*e+36*c*d)*(c*x^2+b*x+a)^(7/4)/c^2-1/120*(-4*a*c+b^2)^(3/2)*((-8*a*c+11*b^2)*e^2+36*c*d*(-b*e+c*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^4/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)*(c*x^2+b*x+a)^(3/4),x,5,1/10*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(3/4)/c^2+2/7*e*(c*x^2+b*x+a)^(7/4)/c-3/20*(-4*a*c+b^2)^(3/2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^3/(c*x^2+b*x+a)^(1/4),1],
[(c*x^2+b*x+a)^(3/4),x,4,1/5*(2*c*x+b)*(c*x^2+b*x+a)^(3/4)/c-3/10*(-4*a*c+b^2)^(3/2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^2/(c*x^2+b*x+a)^(1/4),1],
[(c*x^2+b*x+a)^(3/4)/(e*x+d),x,17,2/3*(c*x^2+b*x+a)^(3/4)/e+(4*a*c-b^2)^(1/4)*(a*e^2-b*d*e+c*d^2)^(3/4)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/e^(5/2)/(c*x^2+b*x+a)^(1/4)-(4*a*c-b^2)^(1/4)*(a*e^2-b*d*e+c*d^2)^(3/4)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/e^(5/2)/(c*x^2+b*x+a)^(1/4)-sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c/e^2/(c*x^2+b*x+a)^(1/4)-sqrt(4*a*c-b^2)*(-b*e+2*c*d)*sqrt(a*e^2-b*d*e+c*d^2)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e^3/(2*c*x+b)/(c*x^2+b*x+a)^(1/4)+sqrt(4*a*c-b^2)*(-b*e+2*c*d)*sqrt(a*e^2-b*d*e+c*d^2)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e^3/(2*c*x+b)/(c*x^2+b*x+a)^(1/4),1],
[(c*x^2+b*x+a)^(3/4)/(e*x+d)^2,x,17,-(c*x^2+b*x+a)^(3/4)/e/(e*x+d)-3/4*(4*a*c-b^2)^(1/4)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/e^(5/2)/(a*e^2-b*d*e+c*d^2)^(1/4)/(c*x^2+b*x+a)^(1/4)+3/4*(4*a*c-b^2)^(1/4)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/e^(5/2)/(a*e^2-b*d*e+c*d^2)^(1/4)/(c*x^2+b*x+a)^(1/4)+3*sqrt(-4*a*c+b^2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/e^2/(c*x^2+b*x+a)^(1/4)+3/4*sqrt(4*a*c-b^2)*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e^3/sqrt(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4)-3/4*sqrt(4*a*c-b^2)*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e^3/sqrt(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)^3*(c*x^2+b*x+a)^(5/4),x,7,-5/7392*(-4*a*c+b^2)*(-b*e+2*c*d)*(44*c^2*d^2+17*b^2*e^2-4*c*e*(6*a*e+11*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^5+1/616*(-b*e+2*c*d)*(44*c^2*d^2+17*b^2*e^2-4*c*e*(6*a*e+11*b*d))*(2*c*x+b)*(c*x^2+b*x+a)^(5/4)/c^4+2/13*e*(e*x+d)^2*(c*x^2+b*x+a)^(9/4)/c+1/2574*e*(1320*c^2*d^2+221*b^2*e^2-2*c*e*(88*a*e+507*b*d)+306*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(9/4)/c^3+5/7392*(4*a*c-b^2)^(5/2)*(-b*e+2*c*d)*(44*c^2*d^2+17*b^2*e^2-4*c*e*(6*a*e+11*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^6/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)^2*(c*x^2+b*x+a)^(5/4),x,6,-5/3696*(-4*a*c+b^2)*((-8*a*c+13*b^2)*e^2+44*c*d*(-b*e+c*d))*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^4+1/308*((-8*a*c+13*b^2)*e^2+44*c*d*(-b*e+c*d))*(2*c*x+b)*(c*x^2+b*x+a)^(5/4)/c^3+1/99*e*(18*c*e*x-13*b*e+44*c*d)*(c*x^2+b*x+a)^(9/4)/c^2+5/3696*(4*a*c-b^2)^(5/2)*((-8*a*c+13*b^2)*e^2+44*c*d*(-b*e+c*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^5/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)*(c*x^2+b*x+a)^(5/4),x,6,-5/168*(-4*a*c+b^2)*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^3+1/14*(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^(5/4)/c^2+2/9*e*(c*x^2+b*x+a)^(9/4)/c+5/168*(4*a*c-b^2)^(5/2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^4/(c*x^2+b*x+a)^(3/4),1],
[(c*x^2+b*x+a)^(5/4),x,5,-5/84*(-4*a*c+b^2)*(2*c*x+b)*(c*x^2+b*x+a)^(1/4)/c^2+1/7*(2*c*x+b)*(c*x^2+b*x+a)^(5/4)/c+5/84*(4*a*c-b^2)^(5/2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^3/(c*x^2+b*x+a)^(3/4),1],
[(c*x^2+b*x+a)^(5/4)/(e*x+d),x,19,1/6*(12*c^2*d^2+b^2*e^2-2*c*e*(-6*a*e+7*b*d)-2*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(1/4)/c/e^3+2/5*(c*x^2+b*x+a)^(5/4)/e-(4*a*c-b^2)^(3/4)*(a*e^2-b*d*e+c*d^2)^(5/4)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(7/2)/(c*x^2+b*x+a)^(3/4)-(4*a*c-b^2)^(3/4)*(a*e^2-b*d*e+c*d^2)^(5/4)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(7/2)/(c*x^2+b*x+a)^(3/4)-1/6*sqrt(4*a*c-b^2)*(-b*e+2*c*d)*(12*c^2*d^2-b^2*e^2-4*c*e*(-4*a*e+3*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^2/e^4/(c*x^2+b*x+a)^(3/4)-(-4*a*c+b^2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^4/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)-(-4*a*c+b^2)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^4/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[(c*x^2+b*x+a)^(5/4)/(e*x+d)^2,x,19,-5/3*(-c*e*x-2*b*e+3*c*d)*(c*x^2+b*x+a)^(1/4)/e^3-(c*x^2+b*x+a)^(5/4)/e/(e*x+d)+5/4*(4*a*c-b^2)^(3/4)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^(1/4)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(7/2)/(c*x^2+b*x+a)^(3/4)+5/4*(4*a*c-b^2)^(3/4)*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^(1/4)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/e^(7/2)/(c*x^2+b*x+a)^(3/4)+5/3*sqrt(4*a*c-b^2)*(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c/e^4/(c*x^2+b*x+a)^(3/4)+5/4*(-4*a*c+b^2)*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^4/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)+5/4*(-4*a*c+b^2)*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/e^4/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)^3/(c*x^2+b*x+a)^(1/4),x,5,2/7*e*(e*x+d)^2*(c*x^2+b*x+a)^(3/4)/c+1/210*e*(360*c^2*d^2+77*b^2*e^2-2*c*e*(40*a*e+147*b*d)+66*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/4)/c^3+1/20*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(20*c^2*d^2+11*b^2*e^2-4*c*e*(6*a*e+5*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^4/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)^2/(c*x^2+b*x+a)^(1/4),x,4,1/15*e*(6*c*e*x-7*b*e+20*c*d)*(c*x^2+b*x+a)^(3/4)/c^2+1/10*sqrt(-4*a*c+b^2)*((-8*a*c+7*b^2)*e^2+20*c*d*(-b*e+c*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^3/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)/(c*x^2+b*x+a)^(1/4),x,4,2/3*e*(c*x^2+b*x+a)^(3/4)/c+sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^2/(c*x^2+b*x+a)^(1/4),1],
[1/(c*x^2+b*x+a)^(1/4),x,3,sqrt(2)*sqrt(-4*a*c+b^2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/c/(c*x^2+b*x+a)^(1/4),1],
[1/(e*x+d)/(c*x^2+b*x+a)^(1/4),x,12,(4*a*c-b^2)^(1/4)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/sqrt(e)/(a*e^2-b*d*e+c*d^2)^(1/4)/(c*x^2+b*x+a)^(1/4)-(4*a*c-b^2)^(1/4)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/sqrt(e)/(a*e^2-b*d*e+c*d^2)^(1/4)/(c*x^2+b*x+a)^(1/4)-sqrt(4*a*c-b^2)*(-b*e+2*c*d)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e/sqrt(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4)+sqrt(4*a*c-b^2)*(-b*e+2*c*d)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e/sqrt(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4),1],
[1/(e*x+d)^2/(c*x^2+b*x+a)^(1/4),x,17,-e*(c*x^2+b*x+a)^(3/4)/(a*e^2-b*d*e+c*d^2)/(e*x+d)+1/4*(4*a*c-b^2)^(1/4)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/sqrt(e)/(a*e^2-b*d*e+c*d^2)^(5/4)/(c*x^2+b*x+a)^(1/4)-1/4*(4*a*c-b^2)^(1/4)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/sqrt(e)/(a*e^2-b*d*e+c*d^2)^(5/4)/(c*x^2+b*x+a)^(1/4)+sqrt(-4*a*c+b^2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^(1/4)-1/4*sqrt(4*a*c-b^2)*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e/(a*e^2-b*d*e+c*d^2)^(3/2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4)+1/4*sqrt(4*a*c-b^2)*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e/(a*e^2-b*d*e+c*d^2)^(3/2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4),1],
[1/(e*x+d)^3/(c*x^2+b*x+a)^(1/4),x,18,-1/2*e*(c*x^2+b*x+a)^(3/4)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-5/8*e*(-b*e+2*c*d)*(c*x^2+b*x+a)^(3/4)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)+1/32*(4*a*c-b^2)^(1/4)*(12*c^2*d^2+5*b^2*e^2-4*c*e*(2*a*e+3*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/sqrt(e)/(a*e^2-b*d*e+c*d^2)^(9/4)/(c*x^2+b*x+a)^(1/4)-1/32*(4*a*c-b^2)^(1/4)*(12*c^2*d^2+5*b^2*e^2-4*c*e*(2*a*e+3*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/sqrt(e)/(a*e^2-b*d*e+c*d^2)^(9/4)/(c*x^2+b*x+a)^(1/4)+5/8*sqrt(-4*a*c+b^2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)^(1/4)-1/32*sqrt(4*a*c-b^2)*(-b*e+2*c*d)*(12*c^2*d^2+5*b^2*e^2-4*c*e*(2*a*e+3*b*d))*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e/(a*e^2-b*d*e+c*d^2)^(5/2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4)+1/32*sqrt(4*a*c-b^2)*(-b*e+2*c*d)*(12*c^2*d^2+5*b^2*e^2-4*c*e*(2*a*e+3*b*d))*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/e/(a*e^2-b*d*e+c*d^2)^(5/2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)^3/(c*x^2+b*x+a)^(3/4),x,5,2/5*e*(e*x+d)^2*(c*x^2+b*x+a)^(1/4)/c+1/10*e*(56*c^2*d^2+15*b^2*e^2-2*c*e*(8*a*e+25*b*d)+6*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(1/4)/c^3+1/2*sqrt(4*a*c-b^2)*(-b*e+2*c*d)*(4*c^2*d^2+3*b^2*e^2-4*c*e*(2*a*e+b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^4/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)^2/(c*x^2+b*x+a)^(3/4),x,4,1/3*e*(2*c*e*x-5*b*e+12*c*d)*(c*x^2+b*x+a)^(1/4)/c^2+1/3*sqrt(4*a*c-b^2)*(12*c^2*d^2+5*b^2*e^2-4*c*e*(2*a*e+3*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/c^3/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)/(c*x^2+b*x+a)^(3/4),x,4,2*e*(c*x^2+b*x+a)^(1/4)/c+sqrt(2)*sqrt(4*a*c-b^2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/c^2/(c*x^2+b*x+a)^(3/4),1],
[1/(c*x^2+b*x+a)^(3/4),x,3,2*sqrt(2)*sqrt(4*a*c-b^2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/c/(c*x^2+b*x+a)^(3/4),1],
[1/(e*x+d)/(c*x^2+b*x+a)^(3/4),x,13,-(4*a*c-b^2)^(3/4)*sqrt(e)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/(a*e^2-b*d*e+c*d^2)^(3/4)/(c*x^2+b*x+a)^(3/4)-(4*a*c-b^2)^(3/4)*sqrt(e)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/(a*e^2-b*d*e+c*d^2)^(3/4)/(c*x^2+b*x+a)^(3/4)-(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)-(-4*a*c+b^2)*(-b*e+2*c*d)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/(a*e^2-b*d*e+c*d^2)/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[1/(e*x+d)^2/(c*x^2+b*x+a)^(3/4),x,18,-e*(c*x^2+b*x+a)^(1/4)/(a*e^2-b*d*e+c*d^2)/(e*x+d)-3/4*(4*a*c-b^2)^(3/4)*sqrt(e)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/(a*e^2-b*d*e+c*d^2)^(7/4)/(c*x^2+b*x+a)^(3/4)-3/4*(4*a*c-b^2)^(3/4)*sqrt(e)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/(a*e^2-b*d*e+c*d^2)^(7/4)/(c*x^2+b*x+a)^(3/4)-sqrt(2)*sqrt(4*a*c-b^2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^(3/4)-3/4*(-4*a*c+b^2)*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/(a*e^2-b*d*e+c*d^2)^2/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)-3/4*(-4*a*c+b^2)*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/(a*e^2-b*d*e+c*d^2)^2/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[1/(e*x+d)^3/(c*x^2+b*x+a)^(3/4),x,19,-1/2*e*(c*x^2+b*x+a)^(1/4)/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2-7/8*e*(-b*e+2*c*d)*(c*x^2+b*x+a)^(1/4)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)-3/32*(4*a*c-b^2)^(3/4)*sqrt(e)*(20*c^2*d^2+7*b^2*e^2-4*c*e*(2*a*e+5*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/(a*e^2-b*d*e+c*d^2)^(11/4)/(c*x^2+b*x+a)^(3/4)-3/32*(4*a*c-b^2)^(3/4)*sqrt(e)*(20*c^2*d^2+7*b^2*e^2-4*c*e*(2*a*e+5*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(3/4)/(a*e^2-b*d*e+c*d^2)^(11/4)/(c*x^2+b*x+a)^(3/4)-7/4*sqrt(4*a*c-b^2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*InverseJacobiAM(1/2*arctan((2*c*x+b)/sqrt(4*a*c-b^2)),sqrt(2))/sqrt(2)/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)^(3/4)-3/32*(-4*a*c+b^2)*(-b*e+2*c*d)*(20*c^2*d^2+7*b^2*e^2-4*c*e*(2*a*e+5*b*d))*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/(a*e^2-b*d*e+c*d^2)^3/(2*c*x+b)/(c*x^2+b*x+a)^(3/4)-3/32*(-4*a*c+b^2)*(-b*e+2*c*d)*(20*c^2*d^2+7*b^2*e^2-4*c*e*(2*a*e+5*b*d))*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(3/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/c/(a*e^2-b*d*e+c*d^2)^3/(2*c*x+b)/(c*x^2+b*x+a)^(3/4),1],
[(e*x+d)^3/(c*x^2+b*x+a)^(5/4),x,5,-4*(e*x+d)^2*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(1/4)+2/3*e*(24*c^2*d^2+7*b^2*e^2-2*c*e*(8*a*e+9*b*d)+6*c*e*(-b*e+2*c*d)*x)*(c*x^2+b*x+a)^(3/4)/c^2/(-4*a*c+b^2)+(-b*e+2*c*d)*(4*c^2*d^2+7*b^2*e^2-4*c*e*(6*a*e+b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/c^3/sqrt(-4*a*c+b^2)/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)^2/(c*x^2+b*x+a)^(5/4),x,5,-4*(e*x+d)*(b*d-2*a*e+(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(1/4)+4*e*(-b*e+2*c*d)*(c*x^2+b*x+a)^(3/4)/c/(-4*a*c+b^2)+sqrt(2)*(4*c^2*d^2+3*b^2*e^2-4*c*e*(2*a*e+b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/c^2/sqrt(-4*a*c+b^2)/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)/(c*x^2+b*x+a)^(5/4),x,4,(-4*b*d+8*a*e-4*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(1/4)+2*sqrt(2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/c/sqrt(-4*a*c+b^2)/(c*x^2+b*x+a)^(1/4),1],
[1/(c*x^2+b*x+a)^(5/4),x,4,(-8*c*x-4*b)/(-4*a*c+b^2)/(c*x^2+b*x+a)^(1/4)+4*sqrt(2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(-4*a*c+b^2)/(c*x^2+b*x+a)^(1/4),1],
[1/(e*x+d)/(c*x^2+b*x+a)^(5/4),x,17,(-4*b*c*d+4*b^2*e-8*a*c*e-4*c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^(1/4)+(4*a*c-b^2)^(1/4)*e^(3/2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(5/4)/(c*x^2+b*x+a)^(1/4)-(4*a*c-b^2)^(1/4)*e^(3/2)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(5/4)/(c*x^2+b*x+a)^(1/4)+2*sqrt(2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)^(1/4)-sqrt(4*a*c-b^2)*e*(-b*e+2*c*d)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/(a*e^2-b*d*e+c*d^2)^(3/2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4)+sqrt(4*a*c-b^2)*e*(-b*e+2*c*d)*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/(a*e^2-b*d*e+c*d^2)^(3/2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4),1],
[1/(e*x+d)^2/(c*x^2+b*x+a)^(5/4),x,18,(-4*b*c*d+4*b^2*e-8*a*c*e-4*c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(e*x+d)/(c*x^2+b*x+a)^(1/4)-e*(8*c^2*d^2+5*b^2*e^2-4*c*e*(3*a*e+2*b*d))*(c*x^2+b*x+a)^(3/4)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)+5/4*(4*a*c-b^2)^(1/4)*e^(3/2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctan((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(9/4)/(c*x^2+b*x+a)^(1/4)-5/4*(4*a*c-b^2)^(1/4)*e^(3/2)*(-b*e+2*c*d)*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*arctanh((4*a*c-b^2)^(1/4)*sqrt(e)*(1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4)/sqrt(2)/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(1/4))/c^(1/4)/(a*e^2-b*d*e+c*d^2)^(9/4)/(c*x^2+b*x+a)^(1/4)+(8*c^2*d^2+5*b^2*e^2-4*c*e*(3*a*e+2*b*d))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticE(sin(1/2*arcsin((2*c*x+b)/sqrt(-4*a*c+b^2))),sqrt(2))/sqrt(2)/sqrt(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)^(1/4)-5/4*sqrt(4*a*c-b^2)*e*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),-1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/(a*e^2-b*d*e+c*d^2)^(5/2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4)+5/4*sqrt(4*a*c-b^2)*e*(-b*e+2*c*d)^2*sqrt((2*c*x+b)^2/(-4*a*c+b^2))*(-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^(1/4)*EllipticPi(sin(arcsin((1-(2*c*x+b)^2/(-4*a*c+b^2))^(1/4))),1/2*sqrt(4*a*c-b^2)*e/sqrt(c)/sqrt(a*e^2-b*d*e+c*d^2),sqrt(-1))/sqrt(2)/sqrt(c)/(a*e^2-b*d*e+c*d^2)^(5/2)/(2*c*x+b)/(c*x^2+b*x+a)^(1/4),1],
[1/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/4),x,1,2*(b-sqrt(-4*a*c+b^2)+2*c*x)*((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^(1/4)*hypergeom([-1/2, 1/4],[1/2],-4*c*sqrt(-4*a*c+b^2)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(2*c*d-b*e+sqrt(-4*a*c+b^2)*e)/sqrt(e*x+d)/(c*x^2+b*x+a)^(1/4),1],
[(e*x+d)^m*(c*x^2+b*x+a)^4,x,2,(a*e^2-b*d*e+c*d^2)^4*(e*x+d)^(1+m)/e^9/(1+m)-4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^(2+m)/e^9/(2+m)+2*(a*e^2-b*d*e+c*d^2)^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(3+m)/e^9/(3+m)-4*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(4+m)/e^9/(4+m)+(70*c^4*d^4+b^4*e^4-4*b^2*c*e^3*(-3*a*e+5*b*d)-20*c^3*d^2*e*(-3*a*e+7*b*d)+6*c^2*e^2*(a^2*e^2-10*a*b*d*e+15*b^2*d^2))*(e*x+d)^(5+m)/e^9/(5+m)-4*c*(-b*e+2*c*d)*(7*c^2*d^2+b^2*e^2-c*e*(-3*a*e+7*b*d))*(e*x+d)^(6+m)/e^9/(6+m)+2*c^2*(14*c^2*d^2+3*b^2*e^2-2*c*e*(-a*e+7*b*d))*(e*x+d)^(7+m)/e^9/(7+m)-4*c^3*(-b*e+2*c*d)*(e*x+d)^(8+m)/e^9/(8+m)+c^4*(e*x+d)^(9+m)/e^9/(9+m),1],
[(e*x+d)^m*(c*x^2+b*x+a)^3,x,2,(a*e^2-b*d*e+c*d^2)^3*(e*x+d)^(1+m)/e^7/(1+m)-3*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(2+m)/e^7/(2+m)+3*(a*e^2-b*d*e+c*d^2)*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(3+m)/e^7/(3+m)-(-b*e+2*c*d)*(10*c^2*d^2+b^2*e^2-2*c*e*(-3*a*e+5*b*d))*(e*x+d)^(4+m)/e^7/(4+m)+3*c*(5*c^2*d^2+b^2*e^2-c*e*(-a*e+5*b*d))*(e*x+d)^(5+m)/e^7/(5+m)-3*c^2*(-b*e+2*c*d)*(e*x+d)^(6+m)/e^7/(6+m)+c^3*(e*x+d)^(7+m)/e^7/(7+m),1],
[(e*x+d)^m*(c*x^2+b*x+a)^2,x,2,(a*e^2-b*d*e+c*d^2)^2*(e*x+d)^(1+m)/e^5/(1+m)-2*(-b*e+2*c*d)*(a*e^2-b*d*e+c*d^2)*(e*x+d)^(2+m)/e^5/(2+m)+(6*c^2*d^2+b^2*e^2-2*c*e*(-a*e+3*b*d))*(e*x+d)^(3+m)/e^5/(3+m)-2*c*(-b*e+2*c*d)*(e*x+d)^(4+m)/e^5/(4+m)+c^2*(e*x+d)^(5+m)/e^5/(5+m),1],
[(e*x+d)^m*(c*x^2+b*x+a),x,2,(a*e^2-b*d*e+c*d^2)*(e*x+d)^(1+m)/e^3/(1+m)-(-b*e+2*c*d)*(e*x+d)^(2+m)/e^3/(2+m)+c*(e*x+d)^(3+m)/e^3/(3+m),1],
[(e*x+d)^m/(c*x^2+b*x+a),x,4,-2*c*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(1+m)+2*c*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/sqrt(-4*a*c+b^2)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(1+m),1],
[(e*x+d)^m/(c*x^2+b*x+a)^2,x,4,-(e*x+d)^(1+m)*(b*c*d-b^2*e+2*a*c*e+c*(-b*e+2*c*d)*x)/(-4*a*c+b^2)/(a*e^2-b*d*e+c*d^2)/(c*x^2+b*x+a)+c*(4*c^2*d^2+b*(b+sqrt(-4*a*c+b^2))*e^2*m-2*c*e*(2*b*d-2*a*e*(1-m)+sqrt(-4*a*c+b^2)*d*m))*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/(-4*a*c+b^2)^(3/2)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)/(1+m)-c*(4*c^2*d^2+b*(b-sqrt(-4*a*c+b^2))*e^2*m-2*c*e*(2*b*d-2*a*e*(1-m)-sqrt(-4*a*c+b^2)*d*m))*(e*x+d)^(1+m)*hypergeom([1, 1+m],[2+m],2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/(-4*a*c+b^2)^(3/2)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)/(1+m),1],
[(e*x+d)^m*(c*x^2+b*x+a)^(5/2),x,2,(e*x+d)^(1+m)*(c*x^2+b*x+a)^(5/2)*AppellF1(1+m,-5/2,-5/2,2+m,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/(1+m)/(1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^(5/2)/(1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^(5/2),1],
[(e*x+d)^m*(c*x^2+b*x+a)^(3/2),x,2,(e*x+d)^(1+m)*(c*x^2+b*x+a)^(3/2)*AppellF1(1+m,-3/2,-3/2,2+m,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/(1+m)/(1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^(3/2)/(1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^(3/2),1],
[(e*x+d)^m*sqrt(c*x^2+b*x+a),x,2,(e*x+d)^(1+m)*sqrt(c*x^2+b*x+a)*AppellF1(1+m,-1/2,-1/2,2+m,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/(1+m)/sqrt(1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))/sqrt(1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)),1],
[(e*x+d)^m/sqrt(c*x^2+b*x+a),x,2,(e*x+d)^(1+m)*sqrt(1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))*sqrt(1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))*AppellF1(1+m,1/2,1/2,2+m,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/(1+m)/sqrt(c*x^2+b*x+a),1],
[(e*x+d)^m/(c*x^2+b*x+a)^(3/2),x,2,(e*x+d)^(1+m)*(1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^(3/2)*(1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^(3/2)*AppellF1(1+m,3/2,3/2,2+m,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/(1+m)/(c*x^2+b*x+a)^(3/2),1],
[(e*x+d)^m/(c*x^2+b*x+a)^(5/2),x,2,(e*x+d)^(1+m)*(1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^(5/2)*(1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^(5/2)*AppellF1(1+m,5/2,5/2,2+m,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/(1+m)/(c*x^2+b*x+a)^(5/2),1],
[(e*x+d)^3*(c*x^2+b*x+a)^p,x,4,1/2*e*(e*x+d)^2*(c*x^2+b*x+a)^(p+1)/c/(2+p)-1/4*e*(b*e*(-b*e+2*c*d)*(2+p)*(3+p)-2*c*(3+2*p)*(c*d^2*(5+2*p)-e*(a*e+b*d*(2+p)))-2*c*e*(-b*e+2*c*d)*(p+1)*(3+p)*x)*(c*x^2+b*x+a)^(p+1)/c^3/(p+1)/(2+p)/(3+2*p)+2^(-3-2*p)*(-b*e+2*c*d)*(b^2*e^2*(3+p)+2*c^2*d^2*(3+2*p)-2*c*e*(3*a*e+b*d*(3+2*p)))*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c^4/(3+2*p)/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(e*x+d)^2*(c*x^2+b*x+a)^p,x,3,-1/2*e*(b*e*(2+p)-2*c*d*(3+2*p)-2*c*e*(p+1)*x)*(c*x^2+b*x+a)^(p+1)/c^2/(p+1)/(3+2*p)+(2*c*d*(-b*e+c*d)*(3+2*p)-e^2*(2*a*c-b^2*(2+p)))*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/(2^(2*p+2))/c^3/(3+2*p)/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(e*x+d)*(c*x^2+b*x+a)^p,x,3,1/2*e*(c*x^2+b*x+a)^(p+1)/c/(p+1)+(-b*e+2*c*d)*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/(2^(2*p+2))/c^2/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(c*x^2+b*x+a)^p,x,2,2^(-1-2*p)*(2*c*x+b)*(c*x^2+b*x+a)^p*hypergeom([1/2, -p],[3/2],(2*c*x+b)^2/(-4*a*c+b^2))/c/((-c*(c*x^2+b*x+a)/(-4*a*c+b^2))^p),1],
[(c*x^2+b*x+a)^p/(e*x+d),x,2,2^(-1+2*p)*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))/e/p/((e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)/((e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p),1],
[(c*x^2+b*x+a)^p/(e*x+d)^2,x,2,-4^p*(c*x^2+b*x+a)^p*AppellF1(1-2*p,-p,-p,2-2*p,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))/e/(1-2*p)/((e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)/((e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)/(e*x+d),1],
[(c*x^2+b*x+a)^p/(e*x+d)^3,x,2,-2^(-1+2*p)*(c*x^2+b*x+a)^p*AppellF1(2-2*p,-p,-p,3-2*p,1/2*(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/c/(e*x+d),(2*d-(b+sqrt(-4*a*c+b^2))*e/c)/(2*e*x+2*d))/e/(1-p)/((e*(b-sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)/((e*(b+sqrt(-4*a*c+b^2)+2*c*x)/c/(e*x+d))^p)/(e*x+d)^2,1],
[(e*x+d)^(3/2)*(c*x^2+b*x+a)^p,x,2,2/5*(e*x+d)^(5/2)*(c*x^2+b*x+a)^p*AppellF1(5/2,-p,-p,7/2,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1],
[sqrt(e*x+d)*(c*x^2+b*x+a)^p,x,2,2/3*(e*x+d)^(3/2)*(c*x^2+b*x+a)^p*AppellF1(3/2,-p,-p,5/2,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1],
[(c*x^2+b*x+a)^p/sqrt(e*x+d),x,2,2*sqrt(e*x+d)*(c*x^2+b*x+a)^p*AppellF1(1/2,-p,-p,3/2,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1],
[(c*x^2+b*x+a)^p/(e*x+d)^(3/2),x,2,-2*(c*x^2+b*x+a)^p*AppellF1(-1/2,-p,-p,1/2,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/sqrt(e*x+d)/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1],
[(d*x)^m*(c*x^2+b*x+a)^p,x,2,(d*x)^(1+m)*(c*x^2+b*x+a)^p*AppellF1(1+m,-p,-p,2+m,-2*c*x/(b-sqrt(-4*a*c+b^2)),-2*c*x/(b+sqrt(-4*a*c+b^2)))/d/(1+m)/((1+2*c*x/(b-sqrt(-4*a*c+b^2)))^p)/((1+2*c*x/(b+sqrt(-4*a*c+b^2)))^p),1],
[(e*x+d)^m*(c*x^2+b*x+a)^p,x,2,(e*x+d)^(1+m)*(c*x^2+b*x+a)^p*AppellF1(1+m,-p,-p,2+m,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/(1+m)/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1],
[(c*x^2+b*x+a)^p/((e*x+d)^(2*p)),x,2,(e*x+d)^(1-2*p)*(c*x^2+b*x+a)^p*AppellF1(1-2*p,-p,-p,2-2*p,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/(1-2*p)/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1],
[(e*x+d)^(-1-2*p)*(c*x^2+b*x+a)^p,x,2,-1/2*(c*x^2+b*x+a)^p*AppellF1(-2*p,-p,-p,1-2*p,2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e),2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))/e/p/((e*x+d)^(2*p))/((1-2*c*(e*x+d)/(2*c*d-(b-sqrt(-4*a*c+b^2))*e))^p)/((1-2*c*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e))^p),1],
[(e*x+d)^(-2-2*p)*(c*x^2+b*x+a)^p,x,1,(b-sqrt(-4*a*c+b^2)+2*c*x)*(e*x+d)^(-1-2*p)*(c*x^2+b*x+a)^p*hypergeom([-1-2*p, -p],[-2*p],-4*c*sqrt(-4*a*c+b^2)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(1+2*p)/(((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^p),1],
[(e*x+d)^(-3-2*p)*(c*x^2+b*x+a)^p,x,2,-1/2*e*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)/(p+1)/((e*x+d)^(2*p+2))+1/2*(-b*e+2*c*d)*(b-sqrt(-4*a*c+b^2)+2*c*x)*(e*x+d)^(-1-2*p)*(c*x^2+b*x+a)^p*hypergeom([-1-2*p, -p],[-2*p],-4*c*sqrt(-4*a*c+b^2)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)/(1+2*p)/(((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^p),1],
[(e*x+d)^(-4-2*p)*(c*x^2+b*x+a)^p,x,3,-e*(e*x+d)^(-3-2*p)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)/(3+2*p)-1/2*e*(-b*e+2*c*d)*(2+p)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)^2/(p+1)/(3+2*p)/((e*x+d)^(2*p+2))+1/2*(b^2*e^2*(2+p)+2*c^2*d^2*(3+2*p)-2*c*e*(a*e+b*d*(3+2*p)))*(b-sqrt(-4*a*c+b^2)+2*c*x)*(e*x+d)^(-1-2*p)*(c*x^2+b*x+a)^p*hypergeom([-1-2*p, -p],[-2*p],-4*c*sqrt(-4*a*c+b^2)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2/(1+2*p)/(3+2*p)/(((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^p),1],
[(e*x+d)^(-5-2*p)*(c*x^2+b*x+a)^p,x,4,-1/2*e*(-b*e+2*c*d)*(3+p)*(e*x+d)^(-3-2*p)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)^2/(2+p)/(3+2*p)-1/4*e*(b^2*e^2*(p^2+5*p+6)+2*c^2*d^2*(2*p^2+8*p+9)-2*c*e*(a*e*(3+2*p)+b*d*(2*p^2+8*p+9)))*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)^3/(p+1)/(2+p)/(3+2*p)/((e*x+d)^(2*p+2))-1/2*e*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)/(2+p)/((e*x+d)^(4+2*p))+1/4*(-b*e+2*c*d)*(b^2*e^2*(3+p)+2*c^2*d^2*(3+2*p)-2*c*e*(3*a*e+b*d*(3+2*p)))*(b-sqrt(-4*a*c+b^2)+2*c*x)*(e*x+d)^(-1-2*p)*(c*x^2+b*x+a)^p*hypergeom([-1-2*p, -p],[-2*p],-4*c*sqrt(-4*a*c+b^2)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^3/(1+2*p)/(3+2*p)/(((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^p),1],
[(e*x+d)^(-6-2*p)*(c*x^2+b*x+a)^p,x,5,-e*(e*x+d)^(-5-2*p)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)/(5+2*p)-1/2*e*(b^2*e^2*(p^2+7*p+12)+2*c^2*d^2*(2*p^2+11*p+18)-2*c*e*(3*a*e*(2+p)+b*d*(2*p^2+11*p+18)))*(e*x+d)^(-3-2*p)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)^3/(2+p)/(3+2*p)/(5+2*p)-1/4*e*(-b*e+2*c*d)*(3+p)*(b^2*e^2*(p^2+6*p+8)+2*c^2*d^2*(2*p^2+7*p+8)-2*c*e*(a*e*(8+5*p)+b*d*(2*p^2+7*p+8)))*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)^4/(p+1)/(2+p)/(3+2*p)/(5+2*p)/((e*x+d)^(2*p+2))-1/2*e*(-b*e+2*c*d)*(4+p)*(c*x^2+b*x+a)^(p+1)/(a*e^2-b*d*e+c*d^2)^2/(2+p)/(5+2*p)/((e*x+d)^(4+2*p))+1/4*(b^4*e^4*(p^2+7*p+12)+4*c^4*d^4*(4*p^2+16*p+15)-8*c^3*d^2*e*(5+2*p)*(3*a*e+b*d*(3+2*p))-4*b^2*c*e^3*(3+p)*(3*a*e+b*d*(5+2*p))+12*c^2*e^2*(a^2*e^2+2*a*b*d*e*(5+2*p)+b^2*d^2*(2*p^2+9*p+10)))*(b-sqrt(-4*a*c+b^2)+2*c*x)*(e*x+d)^(-1-2*p)*(c*x^2+b*x+a)^p*hypergeom([-1-2*p, -p],[-2*p],-4*c*sqrt(-4*a*c+b^2)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^4/(1+2*p)/(3+2*p)/(5+2*p)/(((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^p),1],
[(e*x+d)^m*(c*x^2+b*x+a)^(-2-1/2*m),x,3,e*(e*x+d)^(1+m)*(c*x^2+b*x+a)^(-1-1/2*m)/(a*e^2-b*d*e+c*d^2)/(1+m)+1/2*e*(-b*e+2*c*d)*m*(e*x+d)^(2+m)*(c*x^2+b*x+a)^(-1-1/2*m)/(a*e^2-b*d*e+c*d^2)^2/(1+m)/(2+m)-1/4*(b^2*e^2*m+4*c^2*d^2*(1+m)+4*c*e*(a*e-b*d*(1+m)))*(b-sqrt(-4*a*c+b^2)+2*c*x)*((2*c*d-(b-sqrt(-4*a*c+b^2))*e)*(b+sqrt(-4*a*c+b^2)+2*c*x)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))^(2+1/2*m)*(e*x+d)^(3+m)*(c*x^2+b*x+a)^(-2-1/2*m)*hypergeom([3+m, 2+1/2*m],[4+m],-4*c*sqrt(-4*a*c+b^2)*(e*x+d)/(2*c*d-(b+sqrt(-4*a*c+b^2))*e)/(b-sqrt(-4*a*c+b^2)+2*c*x))/(2*c*d-(b-sqrt(-4*a*c+b^2))*e)/(a*e^2-b*d*e+c*d^2)^2/(1+m)/(3+m),1],
[(1+x)^p*(x^2-x+1)^p,x,2,x*(1+x)^p*(x^2-x+1)^p*hypergeom([1/3, -p],[4/3],-x^3)/((x^3+1)^p),1],
[(1-x)^p*(x^2+x+1)^p,x,2,(1-x)^p*x*(x^2+x+1)^p*hypergeom([1/3, -p],[4/3],x^3)/((-x^3+1)^p),1],
[(-c*e*x+b*e)^p*(c^2*x^2+b*c*x+b^2)^p,x,3,x*(-c*e*x+b*e)^p*(c^2*x^2+b*c*x+b^2)^p*hypergeom([1/3, -p],[4/3],c^3*x^3/b^3)/((1-c^3*x^3/b^3)^p),1],
[(e*x+d)^(1/3)*(3*c^2*e^2*x^2+3*b*c*e^2*x+b^2*e^2-b*c*d*e+c^2*d^2)^(1/3),x,2,1/3*(e*x+d)^(1/3)*(3*c*e*x+b*e+c*d)*(3*c^2*e^2*x^2+3*b*c*e^2*x+b^2*e^2-b*c*d*e+c^2*d^2)^(1/3)*hypergeom([-1/3, 1/3],[4/3],-(3*c*e*x+b*e+c*d)^3/(-b*e+2*c*d)^3)/c/e/(1+(3*c*e*x+b*e+c*d)^3/(-b*e+2*c*d)^3)^(1/3),1],
[(e*x+d)^p*(3*c^2*e^2*x^2+3*b*c*e^2*x+b^2*e^2-b*c*d*e+c^2*d^2)^p,x,2,1/3*(e*x+d)^p*(3*c*e*x+b*e+c*d)*(3*c^2*e^2*x^2+3*b*c*e^2*x+b^2*e^2-b*c*d*e+c^2*d^2)^p*hypergeom([1/3, -p],[4/3],-(3*c*e*x+b*e+c*d)^3/(-b*e+2*c*d)^3)/c/e/((1+(3*c*e*x+b*e+c*d)^3/(-b*e+2*c*d)^3)^p),1]]: