lst:=[[(3*x^5-10*x^4+21*x^3-42*x^2+36*x-32)/x/(x^2+1)/(x^2+4)^2,x,10,1/(x^2+4)+1/2*arctan(1/2*x)+2*arctan(x)-2*ln(x)+ln(x^2+4),1],
[x^2*(B*x^2+A)/sqrt(b*x^2+a)/(d*x^2+c)^(3/2),x,2,B*x*sqrt(b*x^2+a)/b/d/sqrt(d*x^2+c)-sqrt(c)*(-A*b*d-B*a*d+2*B*b*c)*sqrt(b*x^2+a)*EllipticE(sin(arctan(sqrt(d)*x/sqrt(c))),sqrt(1-b*c/a/d))/b/d^(3/2)/(-a*d+b*c)/sqrt(c*(b*x^2+a)/a/(d*x^2+c))/sqrt(d*x^2+c)+sqrt(c)*(-A*d+B*c)*sqrt(b*x^2+a)*InverseJacobiAM(arctan(sqrt(d)*x/sqrt(c)),sqrt(1-b*c/a/d))/d^(3/2)/(-a*d+b*c)/sqrt(c*(b*x^2+a)/a/(d*x^2+c))/sqrt(d*x^2+c),1],
[x^2*(B*x^2+A)/sqrt(b*x^2+a)/(-d*x^2+c)^(3/2),x,8,(A*d+B*c)*x*sqrt(b*x^2+a)/d/(a*d+b*c)/sqrt(-d*x^2+c)-sqrt(c)*(A*b*d+B*a*d+2*B*b*c)*sqrt(b*x^2+a)*sqrt(1-d*x^2/c)*EllipticE(sin(arcsin(sqrt(d)*x/sqrt(c))),sqrt(-b*c/a/d))/b/d^(3/2)/(a*d+b*c)/sqrt(1+b*x^2/a)/sqrt(-d*x^2+c)+a*B*sqrt(c)*sqrt(1+b*x^2/a)*sqrt(1-d*x^2/c)*InverseJacobiAM(arcsin(sqrt(d)*x/sqrt(c)),sqrt(-b*c/a/d))/b/d^(3/2)/sqrt(b*x^2+a)/sqrt(-d*x^2+c),1],
[x^2*(B*x^2+A)/sqrt(-b*x^2+a)/(d*x^2+c)^(3/2),x,8,(-A*d+B*c)*x*sqrt(-b*x^2+a)/d/(a*d+b*c)/sqrt(d*x^2+c)+sqrt(a)*(-A*b*d+B*a*d+2*B*b*c)*sqrt(1-b*x^2/a)*sqrt(d*x^2+c)*EllipticE(sin(arcsin(sqrt(b)*x/sqrt(a))),sqrt(-a*d/b/c))/sqrt(b)/d^2/(a*d+b*c)/sqrt(-b*x^2+a)/sqrt(1+d*x^2/c)-sqrt(a)*(-A*d+2*B*c)*sqrt(1-b*x^2/a)*sqrt(1+d*x^2/c)*InverseJacobiAM(arcsin(sqrt(b)*x/sqrt(a)),sqrt(-a*d/b/c))/sqrt(b)/d^2/sqrt(-b*x^2+a)/sqrt(d*x^2+c),1],
[x^2*(B*x^2+A)/sqrt(-b*x^2+a)/(-d*x^2+c)^(3/2),x,8,-(A*d+B*c)*x*sqrt(-b*x^2+a)/d/(-a*d+b*c)/sqrt(-d*x^2+c)+sqrt(a)*(A*b*d-B*a*d+2*B*b*c)*sqrt(1-b*x^2/a)*sqrt(-d*x^2+c)*EllipticE(sin(arcsin(sqrt(b)*x/sqrt(a))),sqrt(a*d/b/c))/sqrt(b)/d^2/(-a*d+b*c)/sqrt(-b*x^2+a)/sqrt(1-d*x^2/c)-sqrt(a)*(A*d+2*B*c)*sqrt(1-b*x^2/a)*sqrt(1-d*x^2/c)*InverseJacobiAM(arcsin(sqrt(b)*x/sqrt(a)),sqrt(a*d/b/c))/sqrt(b)/d^2/sqrt(-b*x^2+a)/sqrt(-d*x^2+c),1],
[x^m*(C*x^3+B*x^2+A)*(a+b*x^n)^p*(c+d*x^n)^q,x,14,A*x^(1+m)*(a+b*x^n)^p*(c+d*x^n)^q*AppellF1((1+m)/n,-p,-q,(1+m+n)/n,-b*x^n/a,-d*x^n/c)/(1+m)/((1+b*x^n/a)^p)/((1+d*x^n/c)^q)+B*x^(3+m)*(a+b*x^n)^p*(c+d*x^n)^q*AppellF1((3+m)/n,-p,-q,(3+m+n)/n,-b*x^n/a,-d*x^n/c)/(3+m)/((1+b*x^n/a)^p)/((1+d*x^n/c)^q)+C*x^(4+m)*(a+b*x^n)^p*(c+d*x^n)^q*AppellF1((4+m)/n,-p,-q,(4+m+n)/n,-b*x^n/a,-d*x^n/c)/(4+m)/((1+b*x^n/a)^p)/((1+d*x^n/c)^q),1]]: