lst:=[[(4*e*x^3+3*d*x^2+2*c*x+b)*(e*x^4+d*x^3+c*x^2+b*x)^2,x,1,1/3*(e*x^4+d*x^3+c*x^2+b*x)^3,1],
[(4*e*x^3+3*d*x^2+2*c*x+b)*(e*x^4+d*x^3+c*x^2+b*x),x,1,1/2*(e*x^4+d*x^3+c*x^2+b*x)^2,1],
[(4*e*x^3+3*d*x^2+2*c*x+b)/(e*x^4+d*x^3+c*x^2+b*x),x,1,ln(e*x^4+d*x^3+c*x^2+b*x),1],
[(4*e*x^3+3*d*x^2+2*c*x+b)/(e*x^4+d*x^3+c*x^2+b*x)^2,x,1,-1/(e*x^4+d*x^3+c*x^2+b*x),1],
[(4*e*x^3+3*d*x^2+2*c*x+b)/(e*x^4+d*x^3+c*x^2+b*x)^3,x,1,-1/2/(e*x^4+d*x^3+c*x^2+b*x)^2,1],
[(4*e*x^3+3*d*x^2+2*c*x+b)*(e*x^4+d*x^3+c*x^2+b*x+a)^2,x,1,1/3*(e*x^4+d*x^3+c*x^2+b*x+a)^3,1],
[(4*e*x^3+3*d*x^2+2*c*x+b)*(e*x^4+d*x^3+c*x^2+b*x+a),x,1,1/2*(e*x^4+d*x^3+c*x^2+b*x+a)^2,1],
[(4*e*x^3+3*d*x^2+2*c*x+b)/(e*x^4+d*x^3+c*x^2+b*x+a),x,1,ln(e*x^4+d*x^3+c*x^2+b*x+a),1],
[(4*e*x^3+3*d*x^2+2*c*x+b)/(e*x^4+d*x^3+c*x^2+b*x+a)^2,x,1,-1/(e*x^4+d*x^3+c*x^2+b*x+a),1],
[(4*e*x^3+3*d*x^2+2*c*x+b)/(e*x^4+d*x^3+c*x^2+b*x+a)^3,x,1,-1/2/(e*x^4+d*x^3+c*x^2+b*x+a)^2,1],
[(4*e*x^3+3*d*x^2+2*c*x+b)*(e*x^4+d*x^3+c*x^2+b*x)^p,x,1,(e*x^4+d*x^3+c*x^2+b*x)^(p+1)/(p+1),1],
[(4*e*x^3+3*d*x^2+2*c*x+b)*(e*x^4+d*x^3+c*x^2+b*x+a)^p,x,1,(e*x^4+d*x^3+c*x^2+b*x+a)^(p+1)/(p+1),1],
[(2*x^3-4*x^2+x+2)/(x^4-x^3+x^2-x+1),x,5,-2*ln(2-(1-sqrt(5))*x+2*x^2)/(1-sqrt(5))-2*ln(2-(1+sqrt(5))*x+2*x^2)/(1+sqrt(5)),1],
[(D*x^3+C*x^2+B*x+A)/(a*x^4+b*x^3+c*x^2+b*x+a),x,11,(4*a^2*B+b*(b-sqrt(8*a^2-4*a*c+b^2))*D-a*(A*(b-sqrt(8*a^2-4*a*c+b^2))+b*C-sqrt(8*a^2-4*a*c+b^2)*C+2*c*D))*arctan((b-sqrt(8*a^2-4*a*c+b^2)+4*a*x)/sqrt(2)/sqrt(4*a^2+2*a*c-b*(b-sqrt(8*a^2-4*a*c+b^2))))/sqrt(2)/a/sqrt(8*a^2-4*a*c+b^2)/sqrt(4*a^2+2*a*c-b*(b-sqrt(8*a^2-4*a*c+b^2)))-(4*a^2*B+b*(b+sqrt(8*a^2-4*a*c+b^2))*D-a*(A*(b+sqrt(8*a^2-4*a*c+b^2))+b*C+sqrt(8*a^2-4*a*c+b^2)*C+2*c*D))*arctan((b+sqrt(8*a^2-4*a*c+b^2)+4*a*x)/sqrt(2)/sqrt(4*a^2+2*a*c-b*(b+sqrt(8*a^2-4*a*c+b^2))))/sqrt(2)/a/sqrt(8*a^2-4*a*c+b^2)/sqrt(4*a^2+2*a*c-b*(b+sqrt(8*a^2-4*a*c+b^2)))-1/4*(2*a*(A-C)+(b-sqrt(8*a^2-4*a*c+b^2))*D)*ln(2*a+(b-sqrt(8*a^2-4*a*c+b^2))*x+2*a*x^2)/a/sqrt(8*a^2-4*a*c+b^2)+1/4*(2*a*(A-C)+(b+sqrt(8*a^2-4*a*c+b^2))*D)*ln(2*a+(b+sqrt(8*a^2-4*a*c+b^2))*x+2*a*x^2)/a/sqrt(8*a^2-4*a*c+b^2),1],
[(D*x^3+C*x^2+B*x+A)/(324*x^4-837*x^3+855*x^2-402*x+88),x,12,-1/324*(54*(1+sqrt(177))*A-36*(15-sqrt(177))*B-732*C+36*sqrt(177)*C-689*D+39*sqrt(177)*D)*arctan((31-sqrt(177)-48*x)/sqrt(334-2*sqrt(177)))/sqrt(59118-354*sqrt(177))+1/324*(54*(1-sqrt(177))*A-36*(15+sqrt(177))*B-732*C-36*sqrt(177)*C-689*D-39*sqrt(177)*D)*arctan((31+sqrt(177)-48*x)/sqrt(334+2*sqrt(177)))/sqrt(59118+354*sqrt(177))-1/76464*(sqrt(177)*(36*A+24*B+8*C-5*D)-59*D)*ln(16-(1-sqrt(177))*(2-3*x)+8*(2-3*x)^2)+1/76464*(sqrt(177)*(36*A+24*B+8*C-5*D)+59*D)*ln(16-(1+sqrt(177))*(2-3*x)+8*(2-3*x)^2),1],
[(D*x^3+C*x^2+B*x+A)/(324*x^4-837*x^3+855*x^2-402*x+88)^2,x,14,-1/12415842*(11961*A+2673*sqrt(177)*A-39735*B+2169*sqrt(177)*B-58236*C-300*sqrt(177)*C-56694*D-2614*sqrt(177)*D-8*(2673*A+2169*B-300*C-2614*D)*(2-3*x))/(16-(1+sqrt(177))*(2-3*x)+8*(2-3*x)^2)+8/14337*(4779*A+1053*sqrt(177)*A-9558*B+774*sqrt(177)*B-14868*C-204*sqrt(177)*C-18408*D-1112*sqrt(177)*D-2*(6372*C-sqrt(177)*(54*(1-sqrt(177))*A-36*(15+sqrt(177))*B-732*C-689*D-39*sqrt(177)*D))*(2-3*x))/(167+sqrt(177))/(16-(1-sqrt(177))*(2-3*x)+8*(2-3*x)^2)/(16-(1+sqrt(177))*(2-3*x)+8*(2-3*x)^2)-1/8277228*(187371*A+59787*sqrt(177)*A-384747*B+39093*sqrt(177)*B-591872*C+29312*sqrt(177)*C-580980*D+23756*sqrt(177)*D)*arctan((31-sqrt(177)-48*x)/sqrt(334-2*sqrt(177)))/sqrt(59118-354*sqrt(177))+1/8277228*(187371*A-59787*sqrt(177)*A-384747*B-39093*sqrt(177)*B-591872*C-29312*sqrt(177)*C-580980*D-23756*sqrt(177)*D)*arctan((31+sqrt(177)-48*x)/sqrt(334+2*sqrt(177)))/sqrt(59118+354*sqrt(177))-1/114696*(513*A+351*B+192*C+68*D)*ln(16-(1-sqrt(177))*(2-3*x)+8*(2-3*x)^2)/sqrt(177)+1/114696*(513*A+351*B+192*C+68*D)*ln(16-(1+sqrt(177))*(2-3*x)+8*(2-3*x)^2)/sqrt(177),1],
[(x^3+3*x^2+3*x)/(x^4+4*x^3+6*x^2+4*x+1),x,4,1/3/(1+x)^3+ln(1+x),1],
[(x^3-3*x^2+3*x-1)/(x^4+4*x^3+6*x^2+4*x+1),x,4,8/3/(1+x)^3-6/(1+x)^2+6/(1+x)+ln(1+x),1],
[(-39*x^8+26*x^6+24*x^5+174*x^4-18*x^2-40*x+9)/(x^4+2*x^2+3)^3,x,6,2*(-2*x^2+1)/(x^4+2*x^2+3)^2-2*x*(13*x^2+18)/(x^4+2*x^2+3)^2+13*x/(x^4+2*x^2+3),1],
[x*(-x^4+4*x^3-8*x^2+a+8*x)^4,x,2,1/2*a^4*x^2+32/3*a^3*x^3+8*(12-a)*a^2*x^4+16/5*a*(a^2-48*a+128)*x^5+2/3*(-a^3+192*a^2-1536*a+1024)*x^6-32/7*(15*a^2-288*a+512)*x^7+8*(128-3*a)*(4-a)*x^8-16/3*(a^2-128*a+896)*x^9+1/5*(3*a^2-1536*a+20480)*x^10-32/11*(928-35*a)*x^11+8/3*(524-9*a)*x^12-16/13*(464-3*a)*x^13+2/7*(640-a)*x^14-224/5*x^15+8*x^16-16/17*x^17+1/18*x^18,1],
[x*(-x^4+4*x^3-8*x^2+a+8*x)^3,x,2,1/2*a^3*x^2+8*a^2*x^3+6*(8-a)*a*x^4+4/5*(3*a^2-96*a+128)*x^5-1/2*(a^2-128*a+512)*x^6+48/7*(48-5*a)*x^7-4*(70-3*a)*x^8+8/3*(64-a)*x^9-3/10*(256-a)*x^10+280/11*x^11-6*x^12+12/13*x^13-1/14*x^14,1],
[x*(-x^4+4*x^3-8*x^2+a+8*x)^2,x,2,1/2*a^2*x^2+16/3*a*x^3+4*(4-a)*x^4-8/5*(16-a)*x^5+1/3*(64-a)*x^6-80/7*x^7+4*x^8-8/9*x^9+1/10*x^10,1],
[x*(-x^4+4*x^3-8*x^2+a+8*x),x,2,1/2*a*x^2+8/3*x^3-2*x^4+4/5*x^5-1/6*x^6,1],
[x/(-x^4+4*x^3-8*x^2+a+8*x),x,9,1/2*arctan((1-x)/sqrt(1-sqrt(4+a)))/sqrt(4+a)/sqrt(1-sqrt(4+a))-1/2*arctan((1-x)/sqrt(1+sqrt(4+a)))/sqrt(4+a)/sqrt(1+sqrt(4+a))+1/2*arctanh((1+(-1+x)^2)/sqrt(4+a))/sqrt(4+a),1],
[x/(-x^4+4*x^3-8*x^2+a+8*x)^2,x,11,1/4*(1+(-1+x)^2)/(4+a)/(3+a-2*(1-x)^2-(1-x)^4)-1/4*(5+a+(-1+x)^2)*(1-x)/(a^2+7*a+12)/(3+a-2*(1-x)^2-(1-x)^4)+1/8*(10+3*a+sqrt(4+a))*arctan((1-x)/sqrt(1-sqrt(4+a)))/(3+a)/(4+a)^(3/2)/sqrt(1-sqrt(4+a))-1/8*(10+3*a-sqrt(4+a))*arctan((1-x)/sqrt(1+sqrt(4+a)))/(3+a)/(4+a)^(3/2)/sqrt(1+sqrt(4+a))+1/4*arctanh((1+(-1+x)^2)/sqrt(4+a))/(4+a)^(3/2),1],
[x/(-x^4+4*x^3-8*x^2+a+8*x)^3,x,13,1/8*(1+(-1+x)^2)/(4+a)/(3+a-2*(1-x)^2-(1-x)^4)^2+3/16*(1+(-1+x)^2)/(4+a)^2/(3+a-2*(1-x)^2-(1-x)^4)-1/32*((6+a)*(25+7*a)+6*(7+2*a)*(1-x)^2)*(1-x)/(3+a)^2/(4+a)^2/(3+a-2*(1-x)^2-(1-x)^4)-1/8*(5+a+(-1+x)^2)*(1-x)/(a^2+7*a+12)/(3+a-2*(1-x)^2-(1-x)^4)^2+3/64*(80+7*a^2+14*sqrt(4+a)+a*(47+4*sqrt(4+a)))*arctan((1-x)/sqrt(1-sqrt(4+a)))/(3+a)^2/(4+a)^(5/2)/sqrt(1-sqrt(4+a))+3/64*(14+4*a-(7*a^2+47*a+80)/sqrt(4+a))*arctan((1-x)/sqrt(1+sqrt(4+a)))/(3+a)^2/(4+a)^2/sqrt(1+sqrt(4+a))+3/16*arctanh((1+(-1+x)^2)/sqrt(4+a))/(4+a)^(5/2),1],
[x^2*(-x^4+4*x^3-8*x^2+a+8*x)^4,x,2,1/3*a^4*x^3+8*a^3*x^4+32/5*(12-a)*a^2*x^5+8/3*a*(a^2-48*a+128)*x^6+4/7*(-a^3+192*a^2-1536*a+1024)*x^7-4*(15*a^2-288*a+512)*x^8+64/9*(128-3*a)*(4-a)*x^9-24/5*(a^2-128*a+896)*x^10+2/11*(3*a^2-1536*a+20480)*x^11-8/3*(928-35*a)*x^12+32/13*(524-9*a)*x^13-8/7*(464-3*a)*x^14+4/15*(640-a)*x^15-42*x^16+128/17*x^17-8/9*x^18+1/19*x^19,1],
[x^2*(-x^4+4*x^3-8*x^2+a+8*x)^3,x,2,1/3*a^3*x^3+6*a^2*x^4+24/5*(8-a)*a*x^5+2/3*(3*a^2-96*a+128)*x^6-3/7*(a^2-128*a+512)*x^7+6*(48-5*a)*x^8-32/9*(70-3*a)*x^9+12/5*(64-a)*x^10-3/11*(256-a)*x^11+70/3*x^12-72/13*x^13+6/7*x^14-1/15*x^15,1],
[x^2*(-x^4+4*x^3-8*x^2+a+8*x)^2,x,2,1/3*a^2*x^3+4*a*x^4+16/5*(4-a)*x^5-4/3*(16-a)*x^6+2/7*(64-a)*x^7-10*x^8+32/9*x^9-4/5*x^10+1/11*x^11,1],
[x^2*(-x^4+4*x^3-8*x^2+a+8*x),x,2,1/3*a*x^3+2*x^4-8/5*x^5+2/3*x^6-1/7*x^7,1],
[x^2/(-x^4+4*x^3-8*x^2+a+8*x),x,10,1/2*arctan((1-x)/sqrt(1-sqrt(4+a)))/sqrt(1-sqrt(4+a))+1/2*arctan((1-x)/sqrt(1+sqrt(4+a)))/sqrt(1+sqrt(4+a))+arctanh((1+(-1+x)^2)/sqrt(4+a))/sqrt(4+a),1],
[x^2/(-x^4+4*x^3-8*x^2+a+8*x)^2,x,12,1/2*(1+(-1+x)^2)/(4+a)/(3+a-2*(1-x)^2-(1-x)^4)-1/4*(2+(-1+x)^2)*(1-x)/(3+a)/(3+a-2*(1-x)^2-(1-x)^4)+1/8*(4+a+sqrt(4+a))*arctan((1-x)/sqrt(1-sqrt(4+a)))/(3+a)/(4+a)/sqrt(1-sqrt(4+a))+1/8*(4+a-sqrt(4+a))*arctan((1-x)/sqrt(1+sqrt(4+a)))/(3+a)/(4+a)/sqrt(1+sqrt(4+a))+1/2*arctanh((1+(-1+x)^2)/sqrt(4+a))/(4+a)^(3/2),1],
[x*(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x,14,3/16*(4+a)*sqrt(3+a-2*(1-x)^2-(1-x)^4)*(1+(-1+x)^2)+1/8*(3+a-2*(1-x)^2-(1-x)^4)^(3/2)*(1+(-1+x)^2)-2/35*(13+5*a-3*(1-x)^2)*sqrt(3+a-2*(1-x)^2-(1-x)^4)*(1-x)-1/7*(3+a-2*(1-x)^2-(1-x)^4)^(3/2)*(1-x)+3/16*(4+a)^2*arctan((1+(-1+x)^2)/sqrt(3+a-2*(1-x)^2-(1-x)^4))+16/35*(7+2*a)*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4)-4/35*sqrt(-1+sqrt(4+a))*(76+5*a^2+28*sqrt(4+a)+a*(39+8*sqrt(4+a)))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[x*sqrt(-x^4+4*x^3-8*x^2+a+8*x),x,12,1/4*sqrt(3+a-2*(1-x)^2-(1-x)^4)*(1+(-1+x)^2)-1/3*sqrt(3+a-2*(1-x)^2-(1-x)^4)*(1-x)+1/4*(4+a)*arctan((1+(-1+x)^2)/sqrt(3+a-2*(1-x)^2-(1-x)^4))+2/3*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4)-2/3*sqrt(-1+sqrt(4+a))*(4+a+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[x/sqrt(-x^4+4*x^3-8*x^2+a+8*x),x,8,1/2*arctan((1+(-1+x)^2)/sqrt(3+a-2*(1-x)^2-(1-x)^4))-sqrt(3+a)*sqrt(1-(1-sqrt(4+a))*(1-x)^2/(3+a))*sqrt(1-(1+sqrt(4+a))*(1-x)^2/(3+a))*InverseJacobiAM(arcsin(sqrt(1+sqrt(4+a))*(1-x)/sqrt(3+a)),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(1+sqrt(4+a))/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[x/(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x,10,1/2*(1+(-1+x)^2)/(4+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/2*(5+a+(-1+x)^2)*(1-x)/(a^2+7*a+12)/sqrt(3+a-2*(1-x)^2-(1-x)^4)+1/2*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/(3+a)/(4+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/2*sqrt(-1+sqrt(4+a))*(4+a+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/(3+a)/(4+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[x/(-x^4+4*x^3-8*x^2+a+8*x)^(5/2),x,12,1/6*(1+(-1+x)^2)/(4+a)/(3+a-2*(1-x)^2-(1-x)^4)^(3/2)+1/3*(1+(-1+x)^2)/(4+a)^2/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/12*(104+47*a+5*a^2+4*(7+2*a)*(1-x)^2)*(1-x)/(3+a)^2/(4+a)^2/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/6*(5+a+(-1+x)^2)*(1-x)/(a^2+7*a+12)/(3+a-2*(1-x)^2-(1-x)^4)^(3/2)+1/3*(7+2*a)*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/(3+a)^2/(4+a)^2/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/12*sqrt(-1+sqrt(4+a))*(76+5*a^2+28*sqrt(4+a)+a*(39+8*sqrt(4+a)))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/(3+a)^2/(4+a)^2/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[x^2*(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x,15,3/8*(4+a)*sqrt(3+a-2*(1-x)^2-(1-x)^4)*(1+(-1+x)^2)+1/4*(3+a-2*(1-x)^2-(1-x)^4)^(3/2)*(1+(-1+x)^2)-2/315*(160+54*a+3*(20+7*a)*(1-x)^2)*sqrt(3+a-2*(1-x)^2-(1-x)^4)*(1-x)-1/63*(15+7*(1-x)^2)*(3+a-2*(1-x)^2-(1-x)^4)^(3/2)*(1-x)+3/8*(4+a)^2*arctan((1+(-1+x)^2)/sqrt(3+a-2*(1-x)^2-(1-x)^4))-4/315*(21*a^2+111*a+140)*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4)-4/315*sqrt(-1+sqrt(4+a))*(160+88*a+12*a^2-sqrt(4+a)*(21*a^2+111*a+140))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[x^2*sqrt(-x^4+4*x^3-8*x^2+a+8*x),x,13,1/2*sqrt(3+a-2*(1-x)^2-(1-x)^4)*(1+(-1+x)^2)-1/15*(7+3*(1-x)^2)*sqrt(3+a-2*(1-x)^2-(1-x)^4)*(1-x)+1/2*(4+a)*arctan((1+(-1+x)^2)/sqrt(3+a-2*(1-x)^2-(1-x)^4))-2/15*(8+3*a)*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4)-2/15*sqrt(-1+sqrt(4+a))*(4+a-sqrt(4+a)*(8+3*a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[x^2/sqrt(-x^4+4*x^3-8*x^2+a+8*x),x,11,arctan((1+(-1+x)^2)/sqrt(3+a-2*(1-x)^2-(1-x)^4))-sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4)+sqrt(4+a)*sqrt(-1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[x^2/(-x^4+4*x^3-8*x^2+a+8*x)^(3/2),x,12,(1+(-1+x)^2)/(4+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4)+1/2*(1-sqrt(4+a))*(1+(1-x)^2/(1-sqrt(4+a)))*(1-x)/(3+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/2*(2+(-1+x)^2)*(1-x)/(3+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/2*(1-sqrt(4+a))*sqrt(1+sqrt(4+a))*(1+(1-x)^2/(1-sqrt(4+a)))*EllipticE(sin(arctan((1-x)/sqrt(1+sqrt(4+a)))),sqrt(-2*sqrt(4+a)/(1-sqrt(4+a))))/(3+a)/sqrt((1+(1-x)^2/(1-sqrt(4+a)))/(1+(1-x)^2/(1+sqrt(4+a))))/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[x^2/(-x^4+4*x^3-8*x^2+a+8*x)^(5/2),x,13,1/3*(1+(-1+x)^2)/(4+a)/(3+a-2*(1-x)^2-(1-x)^4)^(3/2)+2/3*(1+(-1+x)^2)/(4+a)^2/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/12*(29+7*a+(13+3*a)*(1-x)^2)*(1-x)/(3+a)^2/(4+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/6*(2+(-1+x)^2)*(1-x)/(3+a)/(3+a-2*(1-x)^2-(1-x)^4)^(3/2)+1/12*(13+3*a)*sqrt(-1+sqrt(4+a))*(1+sqrt(4+a))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*EllipticE(sin(arcsin((1-x)/sqrt(-1+sqrt(4+a)))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/(3+a)^2/(4+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4)-1/12*sqrt(-1+sqrt(4+a))*(16+13*sqrt(4+a)+a*(4+3*sqrt(4+a)))*sqrt(1+(1-x)^2/(1-sqrt(4+a)))*sqrt(1+(1-x)^2/(1+sqrt(4+a)))*InverseJacobiAM(arcsin((1-x)/sqrt(-1+sqrt(4+a))),sqrt((1-sqrt(4+a))/(1+sqrt(4+a))))/(3+a)^2/(4+a)/sqrt(3+a-2*(1-x)^2-(1-x)^4),1],
[x^3/(a+b*(d*x+c)^4),x,15,3/2*c^2*arctan(sqrt(b)*(d*x+c)^2/sqrt(a))/sqrt(a)/sqrt(b)/d^4+1/2*c*(3*sqrt(a)+sqrt(b)*c^2)*arctan(1-sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/b^(3/4)/d^4-1/2*c*(3*sqrt(a)+sqrt(b)*c^2)*arctan(1+sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/b^(3/4)/d^4+1/2*c*(3*sqrt(a)-sqrt(b)*c^2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*(d*x+c)/(sqrt(a)+sqrt(b)*(d*x+c)^2))/sqrt(2)/a^(3/4)/b^(3/4)/d^4+1/4*ln(a+b*(d*x+c)^4)/b/d^4,1],
[x^2/(a+b*(d*x+c)^4),x,13,-c*arctan(sqrt(b)*(d*x+c)^2/sqrt(a))/sqrt(a)/sqrt(b)/d^3-1/2*(sqrt(a)+sqrt(b)*c^2)*arctan(1-sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/b^(3/4)/d^3+1/2*(sqrt(a)+sqrt(b)*c^2)*arctan(1+sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/b^(3/4)/d^3-1/2*(sqrt(a)-sqrt(b)*c^2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*(d*x+c)/(sqrt(a)+sqrt(b)*(d*x+c)^2))/sqrt(2)/a^(3/4)/b^(3/4)/d^3,1],
[x/(a+b*(d*x+c)^4),x,13,1/2*arctan(sqrt(b)*(d*x+c)^2/sqrt(a))/sqrt(a)/sqrt(b)/d^2+1/2*c*arctan(1-sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/b^(1/4)/d^2-1/2*c*arctan(1+sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/b^(1/4)/d^2-1/2*c*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*(d*x+c)/(sqrt(a)+sqrt(b)*(d*x+c)^2))/sqrt(2)/a^(3/4)/b^(1/4)/d^2,1],
[1/(a+b*(d*x+c)^4),x,9,-1/2*arctan(1-sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/b^(1/4)/d+1/2*arctan(1+sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/b^(1/4)/d+1/2*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*(d*x+c)/(sqrt(a)+sqrt(b)*(d*x+c)^2))/sqrt(2)/a^(3/4)/b^(1/4)/d,1],
[1/x/(a+b*(d*x+c)^4),x,17,-1/2*sqrt(b)*c^2*arctan(sqrt(b)*(d*x+c)^2/sqrt(a))/sqrt(a)/(b*c^4+a)+1/2*b^(1/4)*c*(sqrt(a)+sqrt(b)*c^2)*arctan(1-sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/(b*c^4+a)-1/2*b^(1/4)*c*(sqrt(a)+sqrt(b)*c^2)*arctan(1+sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/(b*c^4+a)+1/2*b^(1/4)*c*(sqrt(a)-sqrt(b)*c^2)*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*(d*x+c)/(sqrt(a)+sqrt(b)*(d*x+c)^2))/sqrt(2)/a^(3/4)/(b*c^4+a)+ln(x)/(b*c^4+a)-ln(a+b*(d*x+c)^4)/(4*b*c^4+4*a),1],
[1/x^2/(a+b*(d*x+c)^4),x,17,-1/(b*c^4+a)/x-sqrt(b)*c*(-b*c^4+a)*d*arctan(sqrt(b)*(d*x+c)^2/sqrt(a))/sqrt(a)/(b*c^4+a)^2+1/2*b^(1/4)*(sqrt(a)*(-3*b*c^4+a)+sqrt(b)*c^2*(-b*c^4+3*a))*d*arctan(1-sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/(b*c^4+a)^2-1/2*b^(1/4)*(sqrt(a)*(-3*b*c^4+a)+sqrt(b)*c^2*(-b*c^4+3*a))*d*arctan(1+sqrt(2)*b^(1/4)*(d*x+c)/a^(1/4))/sqrt(2)/a^(3/4)/(b*c^4+a)^2+1/2*b^(1/4)*(sqrt(a)*(-3*b*c^4+a)-sqrt(b)*c^2*(-b*c^4+3*a))*d*arctanh(sqrt(2)*a^(1/4)*b^(1/4)*(d*x+c)/(sqrt(a)+sqrt(b)*(d*x+c)^2))/sqrt(2)/a^(3/4)/(b*c^4+a)^2-4*b*c^3*d*ln(x)/(b*c^4+a)^2+b*c^3*d*ln(a+b*(d*x+c)^4)/(b*c^4+a)^2,1],
[x^4*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x,13,5/4*x-3/4*x^2+1/3*x^3+1/4*x^4+1/24*sqrt(5/3)*arctan((1-4*x)/sqrt(15))-10/3*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/3*ln(x^2+x+1)-13/48*ln(2*x^2-x+2),1],
[x^3*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x,13,-3/2*x+1/2*x^2+1/3*x^3+5/12*sqrt(5/3)*arctan((1-4*x)/sqrt(15))+8/3*arctan((1+2*x)/sqrt(3))/sqrt(3)+2/3*ln(x^2+x+1)-1/24*ln(2*x^2-x+2),1],
[x^2*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x,13,x+1/2*x^2+1/6*sqrt(5/3)*arctan((1-4*x)/sqrt(15))+2/3*arctan((1+2*x)/sqrt(3))/sqrt(3)-ln(x^2+x+1)+1/4*ln(2*x^2-x+2),1],
[x*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x,13,x-1/3*sqrt(5/3)*arctan((1-4*x)/sqrt(15))-10/3*arctan((1+2*x)/sqrt(3))/sqrt(3)+1/3*ln(x^2+x+1)+1/6*ln(2*x^2-x+2),1],
[(2*x^3+3*x^2+x+5)/(2*x^4+x^3+3*x^2+x+2),x,11,-1/3*sqrt(5/3)*arctan((1-4*x)/sqrt(15))+8/3*arctan((1+2*x)/sqrt(3))/sqrt(3)+2/3*ln(x^2+x+1)-1/6*ln(2*x^2-x+2),1],
[(2*x^3+3*x^2+x+5)/x/(2*x^4+x^3+3*x^2+x+2),x,10,1/6*sqrt(5/3)*arctan((1-4*x)/sqrt(15))+2/3*arctan((1+2*x)/sqrt(3))/sqrt(3)+5/2*ln(x)-ln(x^2+x+1)-1/4*ln(2*x^2-x+2),1],
[(2*x^3+3*x^2+x+5)/x^2/(2*x^4+x^3+3*x^2+x+2),x,10,-5/2/x+5/12*sqrt(5/3)*arctan((1-4*x)/sqrt(15))-10/3*arctan((1+2*x)/sqrt(3))/sqrt(3)-3/4*ln(x)+1/3*ln(x^2+x+1)+1/24*ln(2*x^2-x+2),1],
[(2*x^3+3*x^2+x+5)/x^3/(2*x^4+x^3+3*x^2+x+2),x,10,-5/4/x^2+3/4/x+1/24*sqrt(5/3)*arctan((1-4*x)/sqrt(15))+8/3*arctan((1+2*x)/sqrt(3))/sqrt(3)-15/8*ln(x)+2/3*ln(x^2+x+1)+13/48*ln(2*x^2-x+2),1],
[x^3*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x,13,-5/2*x+1/2*x^2+1/3*x^3-11/4*(9+5*I*sqrt(7))*arctanh((I-sqrt(7)+8*I*x)/sqrt(70-2*I*sqrt(7)))/sqrt(490-14*I*sqrt(7))+11/4*(9-5*I*sqrt(7))*arctanh((I+sqrt(7)+8*I*x)/sqrt(70+2*I*sqrt(7)))/sqrt(490+14*I*sqrt(7))+3/112*(7+11*I*sqrt(7))*ln(4*I+(I-sqrt(7))*x+4*I*x^2)+3/112*(7-11*I*sqrt(7))*ln(4*I+(I+sqrt(7))*x+4*I*x^2),1],
[x^2*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x,13,x+1/2*x^2+1/2*(53+I*sqrt(7))*arctanh((I-sqrt(7)+8*I*x)/sqrt(70-2*I*sqrt(7)))/sqrt(490-14*I*sqrt(7))-1/2*(53-I*sqrt(7))*arctanh((I+sqrt(7)+8*I*x)/sqrt(70+2*I*sqrt(7)))/sqrt(490+14*I*sqrt(7))-1/56*(35-9*I*sqrt(7))*ln(4*I+(I-sqrt(7))*x+4*I*x^2)-1/56*(35+9*I*sqrt(7))*ln(4*I+(I+sqrt(7))*x+4*I*x^2),1],
[x*(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x,13,x+(19+7*I*sqrt(7))*arctanh((I-sqrt(7)+8*I*x)/sqrt(70-2*I*sqrt(7)))/sqrt(490-14*I*sqrt(7))-(19-7*I*sqrt(7))*arctanh((I+sqrt(7)+8*I*x)/sqrt(70+2*I*sqrt(7)))/sqrt(490+14*I*sqrt(7))+1/28*(7-5*I*sqrt(7))*ln(4*I+(I-sqrt(7))*x+4*I*x^2)+1/28*(7+5*I*sqrt(7))*ln(4*I+(I+sqrt(7))*x+4*I*x^2),1],
[(2*x^3+3*x^2+x+5)/(2*x^4+x^3+5*x^2+x+2),x,11,-(19+7*I*sqrt(7))*arctanh((I-sqrt(7)+8*I*x)/sqrt(70-2*I*sqrt(7)))/sqrt(490-14*I*sqrt(7))+(19-7*I*sqrt(7))*arctanh((I+sqrt(7)+8*I*x)/sqrt(70+2*I*sqrt(7)))/sqrt(490+14*I*sqrt(7))+1/28*(7-5*I*sqrt(7))*ln(4*I+(I-sqrt(7))*x+4*I*x^2)+1/28*(7+5*I*sqrt(7))*ln(4*I+(I+sqrt(7))*x+4*I*x^2),1],
[(2*x^3+3*x^2+x+5)/x/(2*x^4+x^3+5*x^2+x+2),x,13,-1/2*(53+I*sqrt(7))*arctanh((I-sqrt(7)+8*I*x)/sqrt(70-2*I*sqrt(7)))/sqrt(490-14*I*sqrt(7))+1/2*(53-I*sqrt(7))*arctanh((I+sqrt(7)+8*I*x)/sqrt(70+2*I*sqrt(7)))/sqrt(490+14*I*sqrt(7))+5/2*ln(x)-1/56*(35-9*I*sqrt(7))*ln(4*I+(I-sqrt(7))*x+4*I*x^2)-1/56*(35+9*I*sqrt(7))*ln(4*I+(I+sqrt(7))*x+4*I*x^2),1],
[(2*x^3+3*x^2+x+5)/x^2/(2*x^4+x^3+5*x^2+x+2),x,13,-5/2/x+11/4*(9+5*I*sqrt(7))*arctanh((I-sqrt(7)+8*I*x)/sqrt(70-2*I*sqrt(7)))/sqrt(490-14*I*sqrt(7))-11/4*(9-5*I*sqrt(7))*arctanh((I+sqrt(7)+8*I*x)/sqrt(70+2*I*sqrt(7)))/sqrt(490+14*I*sqrt(7))-3/4*ln(x)+3/112*(7+11*I*sqrt(7))*ln(4*I+(I-sqrt(7))*x+4*I*x^2)+3/112*(7-11*I*sqrt(7))*ln(4*I+(I+sqrt(7))*x+4*I*x^2),1],
[(2*x^3+3*x^2+x+5)/x^3/(2*x^4+x^3+5*x^2+x+2),x,13,-5/4/x^2+3/4/x+1/8*(355-73*I*sqrt(7))*arctanh((I-sqrt(7)+8*I*x)/sqrt(70-2*I*sqrt(7)))/sqrt(490-14*I*sqrt(7))-1/8*(355+73*I*sqrt(7))*arctanh((I+sqrt(7)+8*I*x)/sqrt(70+2*I*sqrt(7)))/sqrt(490+14*I*sqrt(7))-35/8*ln(x)+1/32*(35-9*I*sqrt(7))*ln(4*I+(I-sqrt(7))*x+4*I*x^2)+1/32*(35+9*I*sqrt(7))*ln(4*I+(I+sqrt(7))*x+4*I*x^2),1],
[x^3*(1+x)^3*(1+2*x)*sqrt(-x^4-2*x^3-x^2+1),x,7,-1/15*(-x^4-2*x^3-x^2+1)^(3/2)*(3*x^4+6*x^3+3*x^2+2),1],
[(1+2*x)*(x^2+x)^3*sqrt(1-(x^2+x)^2),x,8,-1/15*(-x^4-2*x^3-x^2+1)^(3/2)*(3*x^4+6*x^3+3*x^2+2),1],
[(-e*f*x^2+e*f)/(a*d*x^2+b*d*x+a*d)/sqrt(a*x^4+b*x^3+c*x^2+b*x+a),x,2,e*f*arctan(1/2*(a*b+(4*a^2-2*a*c+b^2)*x+a*b*x^2)/a/sqrt(2*a-c)/sqrt(a*x^4+b*x^3+c*x^2+b*x+a))/a/sqrt(2*a-c)/d,1],
[(-e*f*x^2+e*f)/(-a*d*x^2+b*d*x-a*d)/sqrt(-a*x^4+b*x^3+c*x^2+b*x-a),x,2,e*f*arctanh(1/2*(a*b-(4*a^2+2*a*c+b^2)*x+a*b*x^2)/a/sqrt(2*a+c)/sqrt(-a*x^4+b*x^3+c*x^2+b*x-a))/a/sqrt(2*a+c)/d,1]]: