lst:=[[x^2*sqrt(d*x),x,2,2/7*(d*x)^(7/2)/d^3,1],
[x*sqrt(d*x),x,2,2/5*(d*x)^(5/2)/d^2,1],
[sqrt(d*x),x,1,2/3*(d*x)^(3/2)/d,1],
[sqrt(d*x)/x,x,2,2*sqrt(d*x),1],
[sqrt(d*x)/x^2,x,2,-2*d/sqrt(d*x),1],
[sqrt(d*x)/x^3,x,2,-2/3*d^2/(d*x)^(3/2),1],
[sqrt(d*x)/x^4,x,2,-2/5*d^3/(d*x)^(5/2),1],
[x*(d*x)^(3/2),x,2,2/7*(d*x)^(7/2)/d^2,1],
[(d*x)^(3/2),x,1,2/5*(d*x)^(5/2)/d,1],
[(d*x)^(3/2)/x,x,2,2/3*(d*x)^(3/2),1],
[(d*x)^(3/2)/x^2,x,2,2*d*sqrt(d*x),1],
[(d*x)^(3/2)/x^3,x,2,-2*d^2/sqrt(d*x),1],
[(d*x)^(3/2)/x^4,x,2,-2/3*d^3/(d*x)^(3/2),1],
[(d*x)^(3/2)/x^5,x,2,-2/5*d^4/(d*x)^(5/2),1],
[(d*x)^(3/2)/x^6,x,2,-2/7*d^5/(d*x)^(7/2),1],
[x^3/sqrt(d*x),x,2,2/7*(d*x)^(7/2)/d^4,1],
[x^2/sqrt(d*x),x,2,2/5*(d*x)^(5/2)/d^3,1],
[x/sqrt(d*x),x,2,2/3*(d*x)^(3/2)/d^2,1],
[1/sqrt(d*x),x,1,2*sqrt(d*x)/d,1],
[1/x/sqrt(d*x),x,2,-2/sqrt(d*x),1],
[1/x^2/sqrt(d*x),x,2,-2/3*d/(d*x)^(3/2),1],
[1/x^3/sqrt(d*x),x,2,-2/5*d^2/(d*x)^(5/2),1],
[x^6/(d*x)^(3/2),x,2,2/11*(d*x)^(11/2)/d^7,1],
[x^5/(d*x)^(3/2),x,2,2/9*(d*x)^(9/2)/d^6,1],
[x^4/(d*x)^(3/2),x,2,2/7*(d*x)^(7/2)/d^5,1],
[x^3/(d*x)^(3/2),x,2,2/5*(d*x)^(5/2)/d^4,1],
[x^2/(d*x)^(3/2),x,2,2/3*(d*x)^(3/2)/d^3,1],
[x/(d*x)^(3/2),x,2,2*sqrt(d*x)/d^2,1],
[1/(d*x)^(3/2),x,1,-2/d/sqrt(d*x),1],
[1/x/(d*x)^(3/2),x,2,-2/3/(d*x)^(3/2),1],
[1/x^2/(d*x)^(3/2),x,2,-2/5*d/(d*x)^(5/2),1],
[x^7/(d*x)^(5/2),x,2,2/11*(d*x)^(11/2)/d^8,1],
[x^6/(d*x)^(5/2),x,2,2/9*(d*x)^(9/2)/d^7,1],
[x^5/(d*x)^(5/2),x,2,2/7*(d*x)^(7/2)/d^6,1],
[x^4/(d*x)^(5/2),x,2,2/5*(d*x)^(5/2)/d^5,1],
[x^3/(d*x)^(5/2),x,2,2/3*(d*x)^(3/2)/d^4,1],
[x^2/(d*x)^(5/2),x,2,2*sqrt(d*x)/d^3,1],
[x/(d*x)^(5/2),x,2,-2/d^2/sqrt(d*x),1],
[1/(d*x)^(5/2),x,1,-2/3/d/(d*x)^(3/2),1],
[1/x/(d*x)^(5/2),x,2,-2/5/(d*x)^(5/2),1],
[x^m*(d*x)^p,x,2,x^(1+m)*(d*x)^p/(1+m+p),1],
[(c*x)^m*(d*x)^p,x,2,(c*x)^(1+m)*(d*x)^p/c/(1+m+p),1],
[x^3*(d*x)^p,x,2,(d*x)^(4+p)/d^4/(4+p),1],
[x^2*(d*x)^p,x,2,(d*x)^(3+p)/d^3/(3+p),1],
[x*(d*x)^p,x,2,(d*x)^(2+p)/d^2/(2+p),1],
[(d*x)^p,x,1,(d*x)^(p+1)/d/(p+1),1],
[(d*x)^p/x,x,2,(d*x)^p/p,1],
[(d*x)^p/x^3,x,2,-d^2*(d*x)^(-2+p)/(2-p),1],
[(d*x)^p/x^4,x,2,-d^3*(d*x)^(-3+p)/(3-p),1],
[x^3*sqrt(d*x^2),x,2,1/5*(d*x^2)^(5/2)/d^2,1],
[x*sqrt(d*x^2),x,2,1/3*(d*x^2)^(3/2)/d,1],
[sqrt(d*x^2)/x,x,2,sqrt(d*x^2),1],
[sqrt(d*x^2)/x^3,x,2,-d/sqrt(d*x^2),1],
[sqrt(d*x^2)/x^5,x,2,-1/3*d^2/(d*x^2)^(3/2),1],
[x^4*sqrt(d*x^2),x,2,1/6*x^5*sqrt(d*x^2),1],
[x^2*sqrt(d*x^2),x,2,1/4*x^3*sqrt(d*x^2),1],
[sqrt(d*x^2),x,2,1/2*x*sqrt(d*x^2),1],
[sqrt(d*x^2)/x^2,x,3,d*x*ln(x)/sqrt(d*x^2),1],
[sqrt(d*x^2)/x^4,x,3,-1/2*d/x/sqrt(d*x^2),1],
[x^3*(d*x^2)^(3/2),x,2,1/7*(d*x^2)^(7/2)/d^2,1],
[x*(d*x^2)^(3/2),x,2,1/5*(d*x^2)^(5/2)/d,1],
[(d*x^2)^(3/2)/x,x,2,1/3*(d*x^2)^(3/2),1],
[(d*x^2)^(3/2)/x^3,x,2,d*sqrt(d*x^2),1],
[(d*x^2)^(3/2)/x^5,x,2,-d^2/sqrt(d*x^2),1],
[(d*x^2)^(3/2)/x^7,x,2,-1/3*d^3/(d*x^2)^(3/2),1],
[x^4*(d*x^2)^(3/2),x,2,1/8*d*x^7*sqrt(d*x^2),1],
[x^2*(d*x^2)^(3/2),x,2,1/6*d*x^5*sqrt(d*x^2),1],
[(d*x^2)^(3/2),x,2,1/4*d*x^3*sqrt(d*x^2),1],
[(d*x^2)^(3/2)/x^2,x,3,1/2*d*x*sqrt(d*x^2),1],
[(d*x^2)^(3/2)/x^4,x,3,d^2*x*ln(x)/sqrt(d*x^2),1],
[(d*x^2)^(3/2)/x^6,x,3,-1/2*d^2/x/sqrt(d*x^2),1],
[(d*x^2)^(3/2)/x^8,x,3,-1/4*d^2/x^3/sqrt(d*x^2),1],
[x^5/sqrt(d*x^2),x,2,1/5*(d*x^2)^(5/2)/d^3,1],
[x^3/sqrt(d*x^2),x,2,1/3*(d*x^2)^(3/2)/d^2,1],
[x/sqrt(d*x^2),x,2,sqrt(d*x^2)/d,1],
[1/x/sqrt(d*x^2),x,2,-1/sqrt(d*x^2),1],
[1/x^3/sqrt(d*x^2),x,2,-1/3*d/(d*x^2)^(3/2),1],
[x^4/sqrt(d*x^2),x,3,1/4*x^3*sqrt(d*x^2)/d,1],
[x^2/sqrt(d*x^2),x,3,1/2*x*sqrt(d*x^2)/d,1],
[1/sqrt(d*x^2),x,2,x*ln(x)/sqrt(d*x^2),1],
[1/x^2/sqrt(d*x^2),x,2,-1/2/x/sqrt(d*x^2),1],
[1/x^4/sqrt(d*x^2),x,2,-1/4/x^3/sqrt(d*x^2),1],
[x^5/(d*x^2)^(3/2),x,2,1/3*(d*x^2)^(3/2)/d^3,1],
[x^3/(d*x^2)^(3/2),x,2,sqrt(d*x^2)/d^2,1],
[x/(d*x^2)^(3/2),x,2,-1/d/sqrt(d*x^2),1],
[1/x/(d*x^2)^(3/2),x,2,-1/3/(d*x^2)^(3/2),1],
[1/x^3/(d*x^2)^(3/2),x,2,-1/5*d/(d*x^2)^(5/2),1],
[x^6/(d*x^2)^(3/2),x,3,1/4*x^3*sqrt(d*x^2)/d^2,1],
[x^4/(d*x^2)^(3/2),x,3,1/2*x*sqrt(d*x^2)/d^2,1],
[x^2/(d*x^2)^(3/2),x,3,x*ln(x)/d/sqrt(d*x^2),1],
[1/(d*x^2)^(3/2),x,2,-1/2/d/x/sqrt(d*x^2),1],
[1/x^2/(d*x^2)^(3/2),x,2,-1/4/d/x^3/sqrt(d*x^2),1],
[x^7/(d*x^2)^(5/2),x,2,1/3*(d*x^2)^(3/2)/d^4,1],
[x^5/(d*x^2)^(5/2),x,2,sqrt(d*x^2)/d^3,1],
[x^3/(d*x^2)^(5/2),x,2,-1/d^2/sqrt(d*x^2),1],
[x/(d*x^2)^(5/2),x,2,-1/3/d/(d*x^2)^(3/2),1],
[1/x/(d*x^2)^(5/2),x,2,-1/5/(d*x^2)^(5/2),1],
[x^6/(d*x^2)^(5/2),x,3,1/2*x*sqrt(d*x^2)/d^3,1],
[x^4/(d*x^2)^(5/2),x,3,x*ln(x)/d^2/sqrt(d*x^2),1],
[x^2/(d*x^2)^(5/2),x,3,-1/2/d^2/x/sqrt(d*x^2),1],
[1/(d*x^2)^(5/2),x,2,-1/4/d^2/x^3/sqrt(d*x^2),1],
[1/x^2/(d*x^2)^(5/2),x,2,-1/6/d^2/x^5/sqrt(d*x^2),1],
[(c*x)^m*(d*x^2)^(3/2),x,2,d*(c*x)^(4+m)*sqrt(d*x^2)/c^4/(4+m)/x,1],
[(c*x)^m*sqrt(d*x^2),x,2,(c*x)^(2+m)*sqrt(d*x^2)/c^2/(2+m)/x,1],
[(c*x)^m/sqrt(d*x^2),x,2,x*(c*x)^m/m/sqrt(d*x^2),1],
[(c*x)^m/(d*x^2)^(3/2),x,2,-c^2*x*(c*x)^(-2+m)/d/(2-m)/sqrt(d*x^2),1],
[x^m*(d*x^2)^p,x,2,x^(1+m)*(d*x^2)^p/(1+m+2*p),1],
[(c*x)^m*(d*x^2)^p,x,2,(c*x)^(1+m)*(d*x^2)^p/c/(1+m+2*p),1],
[x^(-1-2*p)*(x^2)^p,x,2,(x^2)^p*ln(x)/(x^(2*p)),1],
[x^3*(d*x^2)^p,x,2,1/2*(d*x^2)^(2+p)/d^2/(2+p),1],
[x*(d*x^2)^p,x,2,1/2*(d*x^2)^(p+1)/d/(p+1),1],
[(d*x^2)^p/x,x,2,1/2*(d*x^2)^p/p,1],
[(d*x^2)^p/x^3,x,2,-1/2*d*(d*x^2)^(-1+p)/(1-p),1],
[(d*x^2)^p/x^5,x,2,-1/2*d^2*(d*x^2)^(-2+p)/(2-p),1],
[x^4*(d*x^2)^p,x,2,x^5*(d*x^2)^p/(5+2*p),1],
[x^2*(d*x^2)^p,x,2,x^3*(d*x^2)^p/(3+2*p),1],
[(d*x^2)^p,x,2,x*(d*x^2)^p/(1+2*p),1],
[(d*x^2)^p/x^2,x,2,-(d*x^2)^p/(1-2*p)/x,1],
[(d*x^2)^p/x^4,x,2,-(d*x^2)^p/(3-2*p)/x^3,1],
[sqrt(d/x)*x^2,x,2,2/5*d^3/(d/x)^(5/2),1],
[sqrt(d/x)*x,x,2,2/3*d^2/(d/x)^(3/2),1],
[sqrt(d/x),x,1,2*d/sqrt(d/x),1],
[sqrt(d/x)/x,x,2,-2*sqrt(d/x),1],
[sqrt(d/x)/x^2,x,2,-2/3*(d/x)^(3/2)/d,1],
[sqrt(d/x)/x^3,x,2,-2/5*(d/x)^(5/2)/d^2,1],
[(d/x)^(3/2)*x^3,x,2,2/5*d^4/(d/x)^(5/2),1],
[(d/x)^(3/2)*x^2,x,2,2/3*d^3/(d/x)^(3/2),1],
[(d/x)^(3/2)*x,x,2,2*d^2/sqrt(d/x),1],
[(d/x)^(3/2),x,1,-2*d*sqrt(d/x),1],
[(d/x)^(3/2)/x,x,2,-2/3*(d/x)^(3/2),1],
[(d/x)^(3/2)/x^2,x,2,-2/5*(d/x)^(5/2)/d,1],
[(d/x)^(3/2)/x^3,x,2,-2/7*(d/x)^(7/2)/d^2,1],
[x^2/sqrt(d/x),x,2,2/7*d^3/(d/x)^(7/2),1],
[x/sqrt(d/x),x,2,2/5*d^2/(d/x)^(5/2),1],
[1/sqrt(d/x),x,1,2/3*d/(d/x)^(3/2),1],
[1/sqrt(d/x)/x,x,2,2/sqrt(d/x),1],
[1/sqrt(d/x)/x^2,x,2,-2*sqrt(d/x)/d,1],
[1/sqrt(d/x)/x^3,x,2,-2/3*(d/x)^(3/2)/d^2,1],
[x^3/(d/x)^(3/2),x,2,2/11*d^4/(d/x)^(11/2),1],
[x^2/(d/x)^(3/2),x,2,2/9*d^3/(d/x)^(9/2),1],
[x/(d/x)^(3/2),x,2,2/7*d^2/(d/x)^(7/2),1],
[1/(d/x)^(3/2),x,1,2/5*d/(d/x)^(5/2),1],
[1/(d/x)^(3/2)/x,x,2,2/3/(d/x)^(3/2),1],
[1/(d/x)^(3/2)/x^2,x,2,2/d/sqrt(d/x),1],
[1/(d/x)^(3/2)/x^3,x,2,-2*sqrt(d/x)/d^2,1],
[x^3/(d/x)^(5/2),x,2,2/13*d^4/(d/x)^(13/2),1],
[x^2/(d/x)^(5/2),x,2,2/11*d^3/(d/x)^(11/2),1],
[x/(d/x)^(5/2),x,2,2/9*d^2/(d/x)^(9/2),1],
[1/(d/x)^(5/2),x,1,2/7*d/(d/x)^(7/2),1],
[1/(d/x)^(5/2)/x,x,2,2/5/(d/x)^(5/2),1],
[1/(d/x)^(5/2)/x^2,x,2,2/3/d/(d/x)^(3/2),1],
[1/(d/x)^(5/2)/x^3,x,2,2/d^2/sqrt(d/x),1],
[(d/x)^p*x^m,x,2,(d/x)^p*x^(1+m)/(1+m-p),1],
[(d/x)^p*(c*x)^m,x,2,(d/x)^p*(c*x)^(1+m)/c/(1+m-p),1],
[(d/x)^p*x^3,x,2,d^4*(d/x)^(-4+p)/(4-p),1],
[(d/x)^p*x^2,x,2,d^3*(d/x)^(-3+p)/(3-p),1],
[(d/x)^p*x,x,2,d^2*(d/x)^(-2+p)/(2-p),1],
[(d/x)^p,x,1,d*(d/x)^(-1+p)/(1-p),1],
[(d/x)^p/x,x,2,-(d/x)^p/p,1],
[(d/x)^p/x^3,x,2,-(d/x)^(2+p)/d^2/(2+p),1],
[(d/x)^p/x^4,x,2,-(d/x)^(3+p)/d^3/(3+p),1],
[x^2*sqrt(d*x^n),x,2,2*x^3*sqrt(d*x^n)/(6+n),1],
[x*sqrt(d*x^n),x,2,2*x^2*sqrt(d*x^n)/(4+n),1],
[sqrt(d*x^n),x,2,2*x*sqrt(d*x^n)/(2+n),1],
[sqrt(d*x^n)/x,x,2,2*sqrt(d*x^n)/n,1],
[sqrt(d*x^n)/x^2,x,2,-2*sqrt(d*x^n)/(2-n)/x,1],
[sqrt(d*x^n)/x^3,x,2,-2*sqrt(d*x^n)/(4-n)/x^2,1],
[x*(d*x^n)^(3/2),x,2,2*d*x^(2+n)*sqrt(d*x^n)/(4+3*n),1],
[(d*x^n)^(3/2),x,2,2*d*x^(1+n)*sqrt(d*x^n)/(2+3*n),1],
[(d*x^n)^(3/2)/x,x,2,2/3*(d*x^n)^(3/2)/n,1],
[(d*x^n)^(3/2)/x^2,x,2,-2*d*x^(-1+n)*sqrt(d*x^n)/(2-3*n),1],
[(d*x^n)^(3/2)/x^3,x,2,-2*d*x^(-2+n)*sqrt(d*x^n)/(4-3*n),1],
[(d*x^n)^(3/2)/x^4,x,2,-2*d*x^(-3+n)*sqrt(d*x^n)/(6-3*n),1],
[x^2/sqrt(d*x^n),x,2,2*x^3/(6-n)/sqrt(d*x^n),1],
[x/sqrt(d*x^n),x,2,2*x^2/(4-n)/sqrt(d*x^n),1],
[1/sqrt(d*x^n),x,2,2*x/(2-n)/sqrt(d*x^n),1],
[1/x/sqrt(d*x^n),x,2,-2/n/sqrt(d*x^n),1],
[1/x^2/sqrt(d*x^n),x,2,-2/(2+n)/x/sqrt(d*x^n),1],
[1/x^3/sqrt(d*x^n),x,2,-2/(4+n)/x^2/sqrt(d*x^n),1],
[x^2/(d*x^n)^(3/2),x,2,2/3*x^(3-n)/d/(2-n)/sqrt(d*x^n),1],
[x/(d*x^n)^(3/2),x,2,2*x^(2-n)/d/(4-3*n)/sqrt(d*x^n),1],
[1/(d*x^n)^(3/2),x,2,2*x^(1-n)/d/(2-3*n)/sqrt(d*x^n),1],
[1/x/(d*x^n)^(3/2),x,2,-2/3/n/(d*x^n)^(3/2),1],
[1/x^2/(d*x^n)^(3/2),x,2,-2*x^(-1-n)/d/(2+3*n)/sqrt(d*x^n),1],
[1/x^3/(d*x^n)^(3/2),x,2,-2*x^(-2-n)/d/(4+3*n)/sqrt(d*x^n),1],
[1/x^4/(d*x^n)^(3/2),x,2,-2/3*x^(-3-n)/d/(2+n)/sqrt(d*x^n),1],
[x^m*(d*x^n)^(3/2),x,2,2*d*x^(1+m+n)*sqrt(d*x^n)/(2+2*m+3*n),1],
[x^m*sqrt(d*x^n),x,2,2*x^(1+m)*sqrt(d*x^n)/(2+2*m+n),1],
[x^m/sqrt(d*x^n),x,2,2*x^(1+m)/(2+2*m-n)/sqrt(d*x^n),1],
[x^m/(d*x^n)^(3/2),x,2,2*x^(1+m-n)/d/(2+2*m-3*n)/sqrt(d*x^n),1],
[(c*x)^m*(d*x^n)^(5/2),x,2,2*(c*x)^(1+m)*(d*x^n)^(5/2)/c/(2+2*m+5*n),1],
[(c*x)^m*(d*x^n)^(3/2),x,2,2*(c*x)^(1+m)*(d*x^n)^(3/2)/c/(2+2*m+3*n),1],
[(c*x)^m*sqrt(d*x^n),x,2,2*(c*x)^(1+m)*sqrt(d*x^n)/c/(2+2*m+n),1],
[(c*x)^m/sqrt(d*x^n),x,2,2*(c*x)^(1+m)/c/(2+2*m-n)/sqrt(d*x^n),1],
[(c*x)^m/(d*x^n)^(3/2),x,2,2*(c*x)^(1+m)/c/(2+2*m-3*n)/(d*x^n)^(3/2),1],
[(c*x)^m/(d*x^n)^(5/2),x,2,2*(c*x)^(1+m)/c/(2+2*m-5*n)/(d*x^n)^(5/2),1],
[x^(-1-3/2*n)*(d*x^n)^(3/2),x,2,d*sqrt(d*x^n)*ln(x)/(x^(1/2*n)),1],
[x^(-1-1/2*n)*sqrt(d*x^n),x,2,sqrt(d*x^n)*ln(x)/(x^(1/2*n)),1],
[x^(-1+1/2*n)/sqrt(d*x^n),x,2,x^(1/2*n)*ln(x)/sqrt(d*x^n),1],
[x^(-1+3/2*n)/(d*x^n)^(3/2),x,2,x^(1/2*n)*ln(x)/d/sqrt(d*x^n),1],
[x^2*(d*x^n)^p,x,2,x^3*(d*x^n)^p/(n*p+3),1],
[x*(d*x^n)^p,x,2,x^2*(d*x^n)^p/(n*p+2),1],
[(d*x^n)^p,x,2,x*(d*x^n)^p/(n*p+1),1],
[(d*x^n)^p/x,x,2,(d*x^n)^p/n/p,1],
[(d*x^n)^p/x^2,x,2,-(d*x^n)^p/(-n*p+1)/x,1],
[(d*x^n)^p/x^3,x,2,-(d*x^n)^p/(-n*p+2)/x^2,1],
[x^2/((d*x^n)^(1/n)),x,2,1/2*x^3/((d*x^n)^(1/n)),1],
[x/((d*x^n)^(1/n)),x,2,x^2/((d*x^n)^(1/n)),1],
[(d*x^n)^(-1/n),x,2,x*ln(x)/((d*x^n)^(1/n)),1],
[1/x/((d*x^n)^(1/n)),x,2,-(d*x^n)^(-1/n),1],
[1/x^2/((d*x^n)^(1/n)),x,2,-1/2/x/((d*x^n)^(1/n)),1],
[x^m*(d*x^n)^p,x,2,x^(1+m)*(d*x^n)^p/(n*p+m+1),1],
[(c*x)^m*(d*x^n)^p,x,2,(c*x)^(1+m)*(d*x^n)^p/c/(n*p+m+1),1],
[x^m/((d*x^n)^(1/n)),x,2,x^(1+m)/m/((d*x^n)^(1/n)),1],
[(c*x)^m/((d*x^n)^(1/n)),x,2,x*(c*x)^m/m/((d*x^n)^(1/n)),1],
[x^m/((d*x^n)^((1+m)/n)),x,2,x^(1+m)*ln(x)/((d*x^n)^((1+m)/n)),1],
[x^(-n*p-1)*(d*x^n)^p,x,2,(d*x^n)^p*ln(x)/(x^(n*p)),1],
[x^m*(a*(b*x^n)^p)^q,x,2,x^(1+m)*(a*(b*x^n)^p)^q/(n*p*q+m+1),1],
[x^2*(a*(b*x^n)^p)^q,x,2,x^3*(a*(b*x^n)^p)^q/(n*p*q+3),1],
[x*(a*(b*x^n)^p)^q,x,2,x^2*(a*(b*x^n)^p)^q/(n*p*q+2),1],
[(a*(b*x^n)^p)^q,x,2,x*(a*(b*x^n)^p)^q/(n*p*q+1),1],
[(a*(b*x^n)^p)^q/x,x,2,(a*(b*x^n)^p)^q/n/p/q,1],
[(a*(b*x^n)^p)^q/x^2,x,2,-(a*(b*x^n)^p)^q/(-n*p*q+1)/x,1],
[(a*(b*x^n)^p)^q/x^3,x,2,-(a*(b*x^n)^p)^q/(-n*p*q+2)/x^2,1],
[x^2/((a*(b*x^m)^n)^(1/m/n)),x,2,1/2*x^3/((a*(b*x^m)^n)^(1/m/n)),1],
[x/((a*(b*x^m)^n)^(1/m/n)),x,2,x^2/((a*(b*x^m)^n)^(1/m/n)),1],
[(a*(b*x^m)^n)^(-1/m/n),x,2,x*ln(x)/((a*(b*x^m)^n)^(1/m/n)),1],
[1/x/((a*(b*x^m)^n)^(1/m/n)),x,2,-(a*(b*x^m)^n)^(-1/m/n),1],
[1/x^2/((a*(b*x^m)^n)^(1/m/n)),x,2,-1/2/x/((a*(b*x^m)^n)^(1/m/n)),1],
[x^(-n*p*q+2)*(a*(b*x^n)^p)^q,x,2,1/3*x^(-n*p*q+3)*(a*(b*x^n)^p)^q,1],
[x^(-n*p*q+1)*(a*(b*x^n)^p)^q,x,2,1/2*x^(-n*p*q+2)*(a*(b*x^n)^p)^q,1],
[(a*(b*x^n)^p)^q/(x^(n*p*q)),x,2,x^(-n*p*q+1)*(a*(b*x^n)^p)^q,1],
[x^(-n*p*q-1)*(a*(b*x^n)^p)^q,x,2,(a*(b*x^n)^p)^q*ln(x)/(x^(n*p*q)),1],
[x^(-n*p*q-2)*(a*(b*x^n)^p)^q,x,2,-x^(-n*p*q-1)*(a*(b*x^n)^p)^q,1],
[(a*x^m)^p,x,2,x*(a*x^m)^p/(m*p+1),1],
[(a*x^m)^p*(b*x^n)^q,x,2,x*(a*x^m)^p*(b*x^n)^q/(m*p+n*q+1),1],
[(c*x^i)^r*(a*x^m)^p*(b*x^n)^q,x,2,x*(c*x^i)^r*(a*x^m)^p*(b*x^n)^q/(i*r+m*p+n*q+1),1],
[x^3*sqrt(c*x^2)*(b*x+a),x,3,1/5*a*x^4*sqrt(c*x^2)+1/6*b*x^5*sqrt(c*x^2),1],
[x^2*sqrt(c*x^2)*(b*x+a),x,3,1/4*a*x^3*sqrt(c*x^2)+1/5*b*x^4*sqrt(c*x^2),1],
[x*sqrt(c*x^2)*(b*x+a),x,3,1/3*a*x^2*sqrt(c*x^2)+1/4*b*x^3*sqrt(c*x^2),1],
[sqrt(c*x^2)*(b*x+a),x,3,1/2*a*x*sqrt(c*x^2)+1/3*b*x^2*sqrt(c*x^2),1],
[sqrt(c*x^2)*(b*x+a)/x,x,2,1/2*sqrt(c*x^2)*(b*x+a)^2/b/x,1],
[sqrt(c*x^2)*(b*x+a)/x^2,x,3,b*sqrt(c*x^2)+a*sqrt(c*x^2)*ln(x)/x,1],
[sqrt(c*x^2)*(b*x+a)/x^3,x,3,-a*sqrt(c*x^2)/x^2+b*sqrt(c*x^2)*ln(x)/x,1],
[sqrt(c*x^2)*(b*x+a)/x^4,x,2,-1/2*sqrt(c*x^2)*(b*x+a)^2/a/x^3,1],
[x^3*(c*x^2)^(3/2)*(b*x+a),x,3,1/7*a*c*x^6*sqrt(c*x^2)+1/8*b*c*x^7*sqrt(c*x^2),1],
[x^2*(c*x^2)^(3/2)*(b*x+a),x,3,1/6*a*c*x^5*sqrt(c*x^2)+1/7*b*c*x^6*sqrt(c*x^2),1],
[x*(c*x^2)^(3/2)*(b*x+a),x,3,1/5*a*c*x^4*sqrt(c*x^2)+1/6*b*c*x^5*sqrt(c*x^2),1],
[(c*x^2)^(3/2)*(b*x+a),x,3,1/4*a*c*x^3*sqrt(c*x^2)+1/5*b*c*x^4*sqrt(c*x^2),1],
[(c*x^2)^(3/2)*(b*x+a)/x,x,3,1/3*a*c*x^2*sqrt(c*x^2)+1/4*b*c*x^3*sqrt(c*x^2),1],
[(c*x^2)^(3/2)*(b*x+a)/x^2,x,3,1/2*a*c*x*sqrt(c*x^2)+1/3*b*c*x^2*sqrt(c*x^2),1],
[(c*x^2)^(3/2)*(b*x+a)/x^3,x,2,1/2*c*sqrt(c*x^2)*(b*x+a)^2/b/x,1],
[(c*x^2)^(3/2)*(b*x+a)/x^4,x,3,b*c*sqrt(c*x^2)+a*c*sqrt(c*x^2)*ln(x)/x,1],
[x^3*(c*x^2)^(5/2)*(b*x+a),x,3,1/9*a*c^2*x^8*sqrt(c*x^2)+1/10*b*c^2*x^9*sqrt(c*x^2),1],
[x^2*(c*x^2)^(5/2)*(b*x+a),x,3,1/8*a*c^2*x^7*sqrt(c*x^2)+1/9*b*c^2*x^8*sqrt(c*x^2),1],
[x*(c*x^2)^(5/2)*(b*x+a),x,3,1/7*a*c^2*x^6*sqrt(c*x^2)+1/8*b*c^2*x^7*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a),x,3,1/6*a*c^2*x^5*sqrt(c*x^2)+1/7*b*c^2*x^6*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a)/x,x,3,1/5*a*c^2*x^4*sqrt(c*x^2)+1/6*b*c^2*x^5*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a)/x^2,x,3,1/4*a*c^2*x^3*sqrt(c*x^2)+1/5*b*c^2*x^4*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a)/x^3,x,3,1/3*a*c^2*x^2*sqrt(c*x^2)+1/4*b*c^2*x^3*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a)/x^4,x,3,1/2*a*c^2*x*sqrt(c*x^2)+1/3*b*c^2*x^2*sqrt(c*x^2),1],
[x^3*(b*x+a)/sqrt(c*x^2),x,3,1/3*a*x^4/sqrt(c*x^2)+1/4*b*x^5/sqrt(c*x^2),1],
[x^2*(b*x+a)/sqrt(c*x^2),x,3,1/2*a*x^3/sqrt(c*x^2)+1/3*b*x^4/sqrt(c*x^2),1],
[x*(b*x+a)/sqrt(c*x^2),x,2,1/2*x*(b*x+a)^2/b/sqrt(c*x^2),1],
[(b*x+a)/sqrt(c*x^2),x,3,b*sqrt(c*x^2)/c+a*sqrt(c*x^2)*ln(x)/c/x,1],
[(b*x+a)/x/sqrt(c*x^2),x,3,-a/sqrt(c*x^2)+b*x*ln(x)/sqrt(c*x^2),1],
[(b*x+a)/x^2/sqrt(c*x^2),x,2,-1/2*(b*x+a)^2/a/x/sqrt(c*x^2),1],
[(b*x+a)/x^3/sqrt(c*x^2),x,3,-1/3*a/x^2/sqrt(c*x^2)-1/2*b/x/sqrt(c*x^2),1],
[(b*x+a)/x^4/sqrt(c*x^2),x,3,-1/4*a/x^3/sqrt(c*x^2)-1/3*b/x^2/sqrt(c*x^2),1],
[x^3*(b*x+a)/(c*x^2)^(3/2),x,2,1/2*x*(b*x+a)^2/b/c/sqrt(c*x^2),1],
[x^2*(b*x+a)/(c*x^2)^(3/2),x,3,b*x^2/c/sqrt(c*x^2)+a*x*ln(x)/c/sqrt(c*x^2),1],
[x*(b*x+a)/(c*x^2)^(3/2),x,3,-a/c/sqrt(c*x^2)+b*x*ln(x)/c/sqrt(c*x^2),1],
[(b*x+a)/(c*x^2)^(3/2),x,2,-1/2*(b*x+a)^2/a/c/x/sqrt(c*x^2),1],
[(b*x+a)/x/(c*x^2)^(3/2),x,3,-1/3*a/c/x^2/sqrt(c*x^2)-1/2*b/c/x/sqrt(c*x^2),1],
[(b*x+a)/x^2/(c*x^2)^(3/2),x,3,-1/4*a/c/x^3/sqrt(c*x^2)-1/3*b/c/x^2/sqrt(c*x^2),1],
[(b*x+a)/x^3/(c*x^2)^(3/2),x,3,-1/5*a/c/x^4/sqrt(c*x^2)-1/4*b/c/x^3/sqrt(c*x^2),1],
[(b*x+a)/x^4/(c*x^2)^(3/2),x,3,-1/6*a/c/x^5/sqrt(c*x^2)-1/5*b/c/x^4/sqrt(c*x^2),1],
[x^3*(b*x+a)/(c*x^2)^(5/2),x,3,-a/c^2/sqrt(c*x^2)+b*x*ln(x)/c^2/sqrt(c*x^2),1],
[x^2*(b*x+a)/(c*x^2)^(5/2),x,2,-1/2*(b*x+a)^2/a/c^2/x/sqrt(c*x^2),1],
[x*(b*x+a)/(c*x^2)^(5/2),x,3,-1/3*a/c^2/x^2/sqrt(c*x^2)-1/2*b/c^2/x/sqrt(c*x^2),1],
[(b*x+a)/(c*x^2)^(5/2),x,3,-1/4*a/c^2/x^3/sqrt(c*x^2)-1/3*b/c^2/x^2/sqrt(c*x^2),1],
[(b*x+a)/x/(c*x^2)^(5/2),x,3,-1/5*a/c^2/x^4/sqrt(c*x^2)-1/4*b/c^2/x^3/sqrt(c*x^2),1],
[(b*x+a)/x^2/(c*x^2)^(5/2),x,3,-1/6*a/c^2/x^5/sqrt(c*x^2)-1/5*b/c^2/x^4/sqrt(c*x^2),1],
[(b*x+a)/x^3/(c*x^2)^(5/2),x,3,-1/7*a/c^2/x^6/sqrt(c*x^2)-1/6*b/c^2/x^5/sqrt(c*x^2),1],
[(b*x+a)/x^4/(c*x^2)^(5/2),x,3,-1/8*a/c^2/x^7/sqrt(c*x^2)-1/7*b/c^2/x^6/sqrt(c*x^2),1],
[x^3*sqrt(c*x^2)*(b*x+a)^2,x,3,1/5*a^2*x^4*sqrt(c*x^2)+1/3*a*b*x^5*sqrt(c*x^2)+1/7*b^2*x^6*sqrt(c*x^2),1],
[x^2*sqrt(c*x^2)*(b*x+a)^2,x,3,1/4*a^2*x^3*sqrt(c*x^2)+2/5*a*b*x^4*sqrt(c*x^2)+1/6*b^2*x^5*sqrt(c*x^2),1],
[x*sqrt(c*x^2)*(b*x+a)^2,x,3,1/3*a^2*x^2*sqrt(c*x^2)+1/2*a*b*x^3*sqrt(c*x^2)+1/5*b^2*x^4*sqrt(c*x^2),1],
[sqrt(c*x^2)*(b*x+a)^2,x,3,1/2*a^2*x*sqrt(c*x^2)+2/3*a*b*x^2*sqrt(c*x^2)+1/4*b^2*x^3*sqrt(c*x^2),1],
[sqrt(c*x^2)*(b*x+a)^2/x,x,2,1/3*sqrt(c*x^2)*(b*x+a)^3/b/x,1],
[sqrt(c*x^2)*(b*x+a)^2/x^2,x,3,2*a*b*sqrt(c*x^2)+1/2*b^2*x*sqrt(c*x^2)+a^2*sqrt(c*x^2)*ln(x)/x,1],
[sqrt(c*x^2)*(b*x+a)^2/x^3,x,3,b^2*sqrt(c*x^2)-a^2*sqrt(c*x^2)/x^2+2*a*b*sqrt(c*x^2)*ln(x)/x,1],
[sqrt(c*x^2)*(b*x+a)^2/x^4,x,3,-1/2*a^2*sqrt(c*x^2)/x^3-2*a*b*sqrt(c*x^2)/x^2+b^2*sqrt(c*x^2)*ln(x)/x,1],
[x^3*(c*x^2)^(3/2)*(b*x+a)^2,x,3,1/7*a^2*c*x^6*sqrt(c*x^2)+1/4*a*b*c*x^7*sqrt(c*x^2)+1/9*b^2*c*x^8*sqrt(c*x^2),1],
[x^2*(c*x^2)^(3/2)*(b*x+a)^2,x,3,1/6*a^2*c*x^5*sqrt(c*x^2)+2/7*a*b*c*x^6*sqrt(c*x^2)+1/8*b^2*c*x^7*sqrt(c*x^2),1],
[x*(c*x^2)^(3/2)*(b*x+a)^2,x,3,1/5*a^2*c*x^4*sqrt(c*x^2)+1/3*a*b*c*x^5*sqrt(c*x^2)+1/7*b^2*c*x^6*sqrt(c*x^2),1],
[(c*x^2)^(3/2)*(b*x+a)^2,x,3,1/4*a^2*c*x^3*sqrt(c*x^2)+2/5*a*b*c*x^4*sqrt(c*x^2)+1/6*b^2*c*x^5*sqrt(c*x^2),1],
[(c*x^2)^(3/2)*(b*x+a)^2/x,x,3,1/3*a^2*c*x^2*sqrt(c*x^2)+1/2*a*b*c*x^3*sqrt(c*x^2)+1/5*b^2*c*x^4*sqrt(c*x^2),1],
[(c*x^2)^(3/2)*(b*x+a)^2/x^2,x,3,1/2*a^2*c*x*sqrt(c*x^2)+2/3*a*b*c*x^2*sqrt(c*x^2)+1/4*b^2*c*x^3*sqrt(c*x^2),1],
[(c*x^2)^(3/2)*(b*x+a)^2/x^3,x,2,1/3*c*sqrt(c*x^2)*(b*x+a)^3/b/x,1],
[(c*x^2)^(3/2)*(b*x+a)^2/x^4,x,3,2*a*b*c*sqrt(c*x^2)+1/2*b^2*c*x*sqrt(c*x^2)+a^2*c*sqrt(c*x^2)*ln(x)/x,1],
[x*(c*x^2)^(5/2)*(b*x+a)^2,x,3,1/7*a^2*c^2*x^6*sqrt(c*x^2)+1/4*a*b*c^2*x^7*sqrt(c*x^2)+1/9*b^2*c^2*x^8*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a)^2,x,3,1/6*a^2*c^2*x^5*sqrt(c*x^2)+2/7*a*b*c^2*x^6*sqrt(c*x^2)+1/8*b^2*c^2*x^7*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a)^2/x,x,3,1/5*a^2*c^2*x^4*sqrt(c*x^2)+1/3*a*b*c^2*x^5*sqrt(c*x^2)+1/7*b^2*c^2*x^6*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a)^2/x^2,x,3,1/4*a^2*c^2*x^3*sqrt(c*x^2)+2/5*a*b*c^2*x^4*sqrt(c*x^2)+1/6*b^2*c^2*x^5*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a)^2/x^3,x,3,1/3*a^2*c^2*x^2*sqrt(c*x^2)+1/2*a*b*c^2*x^3*sqrt(c*x^2)+1/5*b^2*c^2*x^4*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a)^2/x^4,x,3,1/2*a^2*c^2*x*sqrt(c*x^2)+2/3*a*b*c^2*x^2*sqrt(c*x^2)+1/4*b^2*c^2*x^3*sqrt(c*x^2),1],
[(c*x^2)^(5/2)*(b*x+a)^2/x^5,x,2,1/3*c^2*sqrt(c*x^2)*(b*x+a)^3/b/x,1],
[(c*x^2)^(5/2)*(b*x+a)^2/x^6,x,3,2*a*b*c^2*sqrt(c*x^2)+1/2*b^2*c^2*x*sqrt(c*x^2)+a^2*c^2*sqrt(c*x^2)*ln(x)/x,1],
[x^3*(b*x+a)^2/sqrt(c*x^2),x,3,1/3*a^2*x^4/sqrt(c*x^2)+1/2*a*b*x^5/sqrt(c*x^2)+1/5*b^2*x^6/sqrt(c*x^2),1],
[x^2*(b*x+a)^2/sqrt(c*x^2),x,3,1/2*a^2*x^3/sqrt(c*x^2)+2/3*a*b*x^4/sqrt(c*x^2)+1/4*b^2*x^5/sqrt(c*x^2),1],
[x*(b*x+a)^2/sqrt(c*x^2),x,2,1/3*x*(b*x+a)^3/b/sqrt(c*x^2),1],
[(b*x+a)^2/sqrt(c*x^2),x,3,2*a*b*x^2/sqrt(c*x^2)+1/2*b^2*x^3/sqrt(c*x^2)+a^2*x*ln(x)/sqrt(c*x^2),1],
[(b*x+a)^2/x/sqrt(c*x^2),x,3,-a^2/sqrt(c*x^2)+b^2*x^2/sqrt(c*x^2)+2*a*b*x*ln(x)/sqrt(c*x^2),1],
[(b*x+a)^2/x^2/sqrt(c*x^2),x,3,-2*a*b/sqrt(c*x^2)-1/2*a^2/x/sqrt(c*x^2)+b^2*x*ln(x)/sqrt(c*x^2),1],
[(b*x+a)^2/x^3/sqrt(c*x^2),x,2,-1/3*(b*x+a)^3/a/x^2/sqrt(c*x^2),1],
[(b*x+a)^2/x^4/sqrt(c*x^2),x,3,-1/4*a^2/x^3/sqrt(c*x^2)-2/3*a*b/x^2/sqrt(c*x^2)-1/2*b^2/x/sqrt(c*x^2),1],
[x^3*(b*x+a)^2/(c*x^2)^(3/2),x,2,1/3*x*(b*x+a)^3/b/c/sqrt(c*x^2),1],
[x^2*(b*x+a)^2/(c*x^2)^(3/2),x,3,2*a*b*x^2/c/sqrt(c*x^2)+1/2*b^2*x^3/c/sqrt(c*x^2)+a^2*x*ln(x)/c/sqrt(c*x^2),1],
[x*(b*x+a)^2/(c*x^2)^(3/2),x,3,-a^2/c/sqrt(c*x^2)+b^2*x^2/c/sqrt(c*x^2)+2*a*b*x*ln(x)/c/sqrt(c*x^2),1],
[(b*x+a)^2/(c*x^2)^(3/2),x,3,-2*a*b/c/sqrt(c*x^2)-1/2*a^2/c/x/sqrt(c*x^2)+b^2*x*ln(x)/c/sqrt(c*x^2),1],
[(b*x+a)^2/x/(c*x^2)^(3/2),x,2,-1/3*(b*x+a)^3/a/c/x^2/sqrt(c*x^2),1],
[(b*x+a)^2/x^2/(c*x^2)^(3/2),x,3,-1/4*a^2/c/x^3/sqrt(c*x^2)-2/3*a*b/c/x^2/sqrt(c*x^2)-1/2*b^2/c/x/sqrt(c*x^2),1],
[(b*x+a)^2/x^3/(c*x^2)^(3/2),x,3,-1/5*a^2/c/x^4/sqrt(c*x^2)-1/2*a*b/c/x^3/sqrt(c*x^2)-1/3*b^2/c/x^2/sqrt(c*x^2),1],
[(b*x+a)^2/x^4/(c*x^2)^(3/2),x,3,-1/6*a^2/c/x^5/sqrt(c*x^2)-2/5*a*b/c/x^4/sqrt(c*x^2)-1/4*b^2/c/x^3/sqrt(c*x^2),1],
[x^3*(b*x+a)^2/(c*x^2)^(5/2),x,3,-a^2/c^2/sqrt(c*x^2)+b^2*x^2/c^2/sqrt(c*x^2)+2*a*b*x*ln(x)/c^2/sqrt(c*x^2),1],
[x^2*(b*x+a)^2/(c*x^2)^(5/2),x,3,-2*a*b/c^2/sqrt(c*x^2)-1/2*a^2/c^2/x/sqrt(c*x^2)+b^2*x*ln(x)/c^2/sqrt(c*x^2),1],
[x*(b*x+a)^2/(c*x^2)^(5/2),x,2,-1/3*(b*x+a)^3/a/c^2/x^2/sqrt(c*x^2),1],
[(b*x+a)^2/(c*x^2)^(5/2),x,3,-1/4*a^2/c^2/x^3/sqrt(c*x^2)-2/3*a*b/c^2/x^2/sqrt(c*x^2)-1/2*b^2/c^2/x/sqrt(c*x^2),1],
[(b*x+a)^2/x/(c*x^2)^(5/2),x,3,-1/5*a^2/c^2/x^4/sqrt(c*x^2)-1/2*a*b/c^2/x^3/sqrt(c*x^2)-1/3*b^2/c^2/x^2/sqrt(c*x^2),1],
[(b*x+a)^2/x^2/(c*x^2)^(5/2),x,3,-1/6*a^2/c^2/x^5/sqrt(c*x^2)-2/5*a*b/c^2/x^4/sqrt(c*x^2)-1/4*b^2/c^2/x^3/sqrt(c*x^2),1],
[(b*x+a)^2/x^3/(c*x^2)^(5/2),x,3,-1/7*a^2/c^2/x^6/sqrt(c*x^2)-1/3*a*b/c^2/x^5/sqrt(c*x^2)-1/5*b^2/c^2/x^4/sqrt(c*x^2),1],
[(b*x+a)^2/x^4/(c*x^2)^(5/2),x,3,-1/8*a^2/c^2/x^7/sqrt(c*x^2)-2/7*a*b/c^2/x^6/sqrt(c*x^2)-1/6*b^2/c^2/x^5/sqrt(c*x^2),1],
[x^3*sqrt(c*x^2)/(b*x+a),x,3,-a^3*sqrt(c*x^2)/b^4+1/2*a^2*x*sqrt(c*x^2)/b^3-1/3*a*x^2*sqrt(c*x^2)/b^2+1/4*x^3*sqrt(c*x^2)/b+a^4*sqrt(c*x^2)*ln(b*x+a)/b^5/x,1],
[x^2*sqrt(c*x^2)/(b*x+a),x,3,a^2*sqrt(c*x^2)/b^3-1/2*a*x*sqrt(c*x^2)/b^2+1/3*x^2*sqrt(c*x^2)/b-a^3*sqrt(c*x^2)*ln(b*x+a)/b^4/x,1],
[x*sqrt(c*x^2)/(b*x+a),x,3,-a*sqrt(c*x^2)/b^2+1/2*x*sqrt(c*x^2)/b+a^2*sqrt(c*x^2)*ln(b*x+a)/b^3/x,1],
[sqrt(c*x^2)/(b*x+a),x,3,sqrt(c*x^2)/b-a*sqrt(c*x^2)*ln(b*x+a)/b^2/x,1],
[sqrt(c*x^2)/x/(b*x+a),x,2,sqrt(c*x^2)*ln(b*x+a)/b/x,1],
[sqrt(c*x^2)/x^2/(b*x+a),x,4,sqrt(c*x^2)*ln(x)/a/x-sqrt(c*x^2)*ln(b*x+a)/a/x,1],
[sqrt(c*x^2)/x^3/(b*x+a),x,3,-sqrt(c*x^2)/a/x^2-b*sqrt(c*x^2)*ln(x)/a^2/x+b*sqrt(c*x^2)*ln(b*x+a)/a^2/x,1],
[sqrt(c*x^2)/x^4/(b*x+a),x,3,-1/2*sqrt(c*x^2)/a/x^3+b*sqrt(c*x^2)/a^2/x^2+b^2*sqrt(c*x^2)*ln(x)/a^3/x-b^2*sqrt(c*x^2)*ln(b*x+a)/a^3/x,1],
[x*(c*x^2)^(3/2)/(b*x+a),x,3,-a^3*c*sqrt(c*x^2)/b^4+1/2*a^2*c*x*sqrt(c*x^2)/b^3-1/3*a*c*x^2*sqrt(c*x^2)/b^2+1/4*c*x^3*sqrt(c*x^2)/b+a^4*c*sqrt(c*x^2)*ln(b*x+a)/b^5/x,1],
[(c*x^2)^(3/2)/(b*x+a),x,3,a^2*c*sqrt(c*x^2)/b^3-1/2*a*c*x*sqrt(c*x^2)/b^2+1/3*c*x^2*sqrt(c*x^2)/b-a^3*c*sqrt(c*x^2)*ln(b*x+a)/b^4/x,1],
[(c*x^2)^(3/2)/x/(b*x+a),x,3,-a*c*sqrt(c*x^2)/b^2+1/2*c*x*sqrt(c*x^2)/b+a^2*c*sqrt(c*x^2)*ln(b*x+a)/b^3/x,1],
[(c*x^2)^(3/2)/x^2/(b*x+a),x,3,c*sqrt(c*x^2)/b-a*c*sqrt(c*x^2)*ln(b*x+a)/b^2/x,1],
[(c*x^2)^(3/2)/x^3/(b*x+a),x,2,c*sqrt(c*x^2)*ln(b*x+a)/b/x,1],
[(c*x^2)^(3/2)/x^4/(b*x+a),x,4,c*sqrt(c*x^2)*ln(x)/a/x-c*sqrt(c*x^2)*ln(b*x+a)/a/x,1],
[(c*x^2)^(3/2)/x^5/(b*x+a),x,3,-c*sqrt(c*x^2)/a/x^2-b*c*sqrt(c*x^2)*ln(x)/a^2/x+b*c*sqrt(c*x^2)*ln(b*x+a)/a^2/x,1],
[(c*x^2)^(3/2)/x^6/(b*x+a),x,3,-1/2*c*sqrt(c*x^2)/a/x^3+b*c*sqrt(c*x^2)/a^2/x^2+b^2*c*sqrt(c*x^2)*ln(x)/a^3/x-b^2*c*sqrt(c*x^2)*ln(b*x+a)/a^3/x,1],
[(c*x^2)^(3/2)/x^7/(b*x+a),x,3,-1/3*c*sqrt(c*x^2)/a/x^4+1/2*b*c*sqrt(c*x^2)/a^2/x^3-b^2*c*sqrt(c*x^2)/a^3/x^2-b^3*c*sqrt(c*x^2)*ln(x)/a^4/x+b^3*c*sqrt(c*x^2)*ln(b*x+a)/a^4/x,1],
[(c*x^2)^(5/2)/(b*x+a),x,3,a^4*c^2*sqrt(c*x^2)/b^5-1/2*a^3*c^2*x*sqrt(c*x^2)/b^4+1/3*a^2*c^2*x^2*sqrt(c*x^2)/b^3-1/4*a*c^2*x^3*sqrt(c*x^2)/b^2+1/5*c^2*x^4*sqrt(c*x^2)/b-a^5*c^2*sqrt(c*x^2)*ln(b*x+a)/b^6/x,1],
[(c*x^2)^(5/2)/x/(b*x+a),x,3,-a^3*c^2*sqrt(c*x^2)/b^4+1/2*a^2*c^2*x*sqrt(c*x^2)/b^3-1/3*a*c^2*x^2*sqrt(c*x^2)/b^2+1/4*c^2*x^3*sqrt(c*x^2)/b+a^4*c^2*sqrt(c*x^2)*ln(b*x+a)/b^5/x,1],
[(c*x^2)^(5/2)/x^2/(b*x+a),x,3,a^2*c^2*sqrt(c*x^2)/b^3-1/2*a*c^2*x*sqrt(c*x^2)/b^2+1/3*c^2*x^2*sqrt(c*x^2)/b-a^3*c^2*sqrt(c*x^2)*ln(b*x+a)/b^4/x,1],
[(c*x^2)^(5/2)/x^3/(b*x+a),x,3,-a*c^2*sqrt(c*x^2)/b^2+1/2*c^2*x*sqrt(c*x^2)/b+a^2*c^2*sqrt(c*x^2)*ln(b*x+a)/b^3/x,1],
[(c*x^2)^(5/2)/x^4/(b*x+a),x,3,c^2*sqrt(c*x^2)/b-a*c^2*sqrt(c*x^2)*ln(b*x+a)/b^2/x,1],
[(c*x^2)^(5/2)/x^5/(b*x+a),x,2,c^2*sqrt(c*x^2)*ln(b*x+a)/b/x,1],
[(c*x^2)^(5/2)/x^6/(b*x+a),x,4,c^2*sqrt(c*x^2)*ln(x)/a/x-c^2*sqrt(c*x^2)*ln(b*x+a)/a/x,1],
[(c*x^2)^(5/2)/x^7/(b*x+a),x,3,-c^2*sqrt(c*x^2)/a/x^2-b*c^2*sqrt(c*x^2)*ln(x)/a^2/x+b*c^2*sqrt(c*x^2)*ln(b*x+a)/a^2/x,1],
[x^4/sqrt(c*x^2)/(b*x+a),x,3,a^2*x^2/b^3/sqrt(c*x^2)-1/2*a*x^3/b^2/sqrt(c*x^2)+1/3*x^4/b/sqrt(c*x^2)-a^3*x*ln(b*x+a)/b^4/sqrt(c*x^2),1],
[x^3/sqrt(c*x^2)/(b*x+a),x,3,-a*x^2/b^2/sqrt(c*x^2)+1/2*x^3/b/sqrt(c*x^2)+a^2*x*ln(b*x+a)/b^3/sqrt(c*x^2),1],
[x^2/sqrt(c*x^2)/(b*x+a),x,3,x^2/b/sqrt(c*x^2)-a*x*ln(b*x+a)/b^2/sqrt(c*x^2),1],
[x/sqrt(c*x^2)/(b*x+a),x,2,x*ln(b*x+a)/b/sqrt(c*x^2),1],
[1/sqrt(c*x^2)/(b*x+a),x,4,x*ln(x)/a/sqrt(c*x^2)-x*ln(b*x+a)/a/sqrt(c*x^2),1],
[1/x/sqrt(c*x^2)/(b*x+a),x,3,-1/a/sqrt(c*x^2)-b*x*ln(x)/a^2/sqrt(c*x^2)+b*x*ln(b*x+a)/a^2/sqrt(c*x^2),1],
[1/x^2/sqrt(c*x^2)/(b*x+a),x,3,b/a^2/sqrt(c*x^2)-1/2/a/x/sqrt(c*x^2)+b^2*x*ln(x)/a^3/sqrt(c*x^2)-b^2*x*ln(b*x+a)/a^3/sqrt(c*x^2),1],
[1/x^3/sqrt(c*x^2)/(b*x+a),x,3,-b^2/a^3/sqrt(c*x^2)-1/3/a/x^2/sqrt(c*x^2)+1/2*b/a^2/x/sqrt(c*x^2)-b^3*x*ln(x)/a^4/sqrt(c*x^2)+b^3*x*ln(b*x+a)/a^4/sqrt(c*x^2),1],
[x^6/(c*x^2)^(3/2)/(b*x+a),x,3,a^2*x^2/b^3/c/sqrt(c*x^2)-1/2*a*x^3/b^2/c/sqrt(c*x^2)+1/3*x^4/b/c/sqrt(c*x^2)-a^3*x*ln(b*x+a)/b^4/c/sqrt(c*x^2),1],
[x^5/(c*x^2)^(3/2)/(b*x+a),x,3,-a*x^2/b^2/c/sqrt(c*x^2)+1/2*x^3/b/c/sqrt(c*x^2)+a^2*x*ln(b*x+a)/b^3/c/sqrt(c*x^2),1],
[x^4/(c*x^2)^(3/2)/(b*x+a),x,3,x^2/b/c/sqrt(c*x^2)-a*x*ln(b*x+a)/b^2/c/sqrt(c*x^2),1],
[x^3/(c*x^2)^(3/2)/(b*x+a),x,2,x*ln(b*x+a)/b/c/sqrt(c*x^2),1],
[x^2/(c*x^2)^(3/2)/(b*x+a),x,4,x*ln(x)/a/c/sqrt(c*x^2)-x*ln(b*x+a)/a/c/sqrt(c*x^2),1],
[x/(c*x^2)^(3/2)/(b*x+a),x,3,-1/a/c/sqrt(c*x^2)-b*x*ln(x)/a^2/c/sqrt(c*x^2)+b*x*ln(b*x+a)/a^2/c/sqrt(c*x^2),1],
[1/(c*x^2)^(3/2)/(b*x+a),x,3,b/a^2/c/sqrt(c*x^2)-1/2/a/c/x/sqrt(c*x^2)+b^2*x*ln(x)/a^3/c/sqrt(c*x^2)-b^2*x*ln(b*x+a)/a^3/c/sqrt(c*x^2),1],
[1/x/(c*x^2)^(3/2)/(b*x+a),x,3,-b^2/a^3/c/sqrt(c*x^2)-1/3/a/c/x^2/sqrt(c*x^2)+1/2*b/a^2/c/x/sqrt(c*x^2)-b^3*x*ln(x)/a^4/c/sqrt(c*x^2)+b^3*x*ln(b*x+a)/a^4/c/sqrt(c*x^2),1],
[x^3*sqrt(c*x^2)/(b*x+a)^2,x,3,3*a^2*sqrt(c*x^2)/b^4-a*x*sqrt(c*x^2)/b^3+1/3*x^2*sqrt(c*x^2)/b^2-a^4*sqrt(c*x^2)/b^5/x/(b*x+a)-4*a^3*sqrt(c*x^2)*ln(b*x+a)/b^5/x,1],
[x^2*sqrt(c*x^2)/(b*x+a)^2,x,3,-2*a*sqrt(c*x^2)/b^3+1/2*x*sqrt(c*x^2)/b^2+a^3*sqrt(c*x^2)/b^4/x/(b*x+a)+3*a^2*sqrt(c*x^2)*ln(b*x+a)/b^4/x,1],
[x*sqrt(c*x^2)/(b*x+a)^2,x,3,sqrt(c*x^2)/b^2-a^2*sqrt(c*x^2)/b^3/x/(b*x+a)-2*a*sqrt(c*x^2)*ln(b*x+a)/b^3/x,1],
[sqrt(c*x^2)/(b*x+a)^2,x,3,a*sqrt(c*x^2)/b^2/x/(b*x+a)+sqrt(c*x^2)*ln(b*x+a)/b^2/x,1],
[sqrt(c*x^2)/x/(b*x+a)^2,x,2,-sqrt(c*x^2)/b/x/(b*x+a),1],
[sqrt(c*x^2)/x^2/(b*x+a)^2,x,3,sqrt(c*x^2)/a/x/(b*x+a)+sqrt(c*x^2)*ln(x)/a^2/x-sqrt(c*x^2)*ln(b*x+a)/a^2/x,1],
[sqrt(c*x^2)/x^3/(b*x+a)^2,x,3,-sqrt(c*x^2)/a^2/x^2-b*sqrt(c*x^2)/a^2/x/(b*x+a)-2*b*sqrt(c*x^2)*ln(x)/a^3/x+2*b*sqrt(c*x^2)*ln(b*x+a)/a^3/x,1],
[sqrt(c*x^2)/x^4/(b*x+a)^2,x,3,-1/2*sqrt(c*x^2)/a^2/x^3+2*b*sqrt(c*x^2)/a^3/x^2+b^2*sqrt(c*x^2)/a^3/x/(b*x+a)+3*b^2*sqrt(c*x^2)*ln(x)/a^4/x-3*b^2*sqrt(c*x^2)*ln(b*x+a)/a^4/x,1],
[x*(c*x^2)^(3/2)/(b*x+a)^2,x,3,3*a^2*c*sqrt(c*x^2)/b^4-a*c*x*sqrt(c*x^2)/b^3+1/3*c*x^2*sqrt(c*x^2)/b^2-a^4*c*sqrt(c*x^2)/b^5/x/(b*x+a)-4*a^3*c*sqrt(c*x^2)*ln(b*x+a)/b^5/x,1],
[(c*x^2)^(3/2)/(b*x+a)^2,x,3,-2*a*c*sqrt(c*x^2)/b^3+1/2*c*x*sqrt(c*x^2)/b^2+a^3*c*sqrt(c*x^2)/b^4/x/(b*x+a)+3*a^2*c*sqrt(c*x^2)*ln(b*x+a)/b^4/x,1],
[(c*x^2)^(3/2)/x/(b*x+a)^2,x,3,c*sqrt(c*x^2)/b^2-a^2*c*sqrt(c*x^2)/b^3/x/(b*x+a)-2*a*c*sqrt(c*x^2)*ln(b*x+a)/b^3/x,1],
[(c*x^2)^(3/2)/x^2/(b*x+a)^2,x,3,a*c*sqrt(c*x^2)/b^2/x/(b*x+a)+c*sqrt(c*x^2)*ln(b*x+a)/b^2/x,1],
[(c*x^2)^(3/2)/x^3/(b*x+a)^2,x,2,-c*sqrt(c*x^2)/b/x/(b*x+a),1],
[(c*x^2)^(3/2)/x^4/(b*x+a)^2,x,3,c*sqrt(c*x^2)/a/x/(b*x+a)+c*sqrt(c*x^2)*ln(x)/a^2/x-c*sqrt(c*x^2)*ln(b*x+a)/a^2/x,1],
[(c*x^2)^(3/2)/x^5/(b*x+a)^2,x,3,-c*sqrt(c*x^2)/a^2/x^2-b*c*sqrt(c*x^2)/a^2/x/(b*x+a)-2*b*c*sqrt(c*x^2)*ln(x)/a^3/x+2*b*c*sqrt(c*x^2)*ln(b*x+a)/a^3/x,1],
[(c*x^2)^(3/2)/x^6/(b*x+a)^2,x,3,-1/2*c*sqrt(c*x^2)/a^2/x^3+2*b*c*sqrt(c*x^2)/a^3/x^2+b^2*c*sqrt(c*x^2)/a^3/x/(b*x+a)+3*b^2*c*sqrt(c*x^2)*ln(x)/a^4/x-3*b^2*c*sqrt(c*x^2)*ln(b*x+a)/a^4/x,1],
[x^5/sqrt(c*x^2)/(b*x+a)^2,x,3,3*a^2*x^2/b^4/sqrt(c*x^2)-a*x^3/b^3/sqrt(c*x^2)+1/3*x^4/b^2/sqrt(c*x^2)-a^4*x/b^5/sqrt(c*x^2)/(b*x+a)-4*a^3*x*ln(b*x+a)/b^5/sqrt(c*x^2),1],
[x^4/sqrt(c*x^2)/(b*x+a)^2,x,3,-2*a*x^2/b^3/sqrt(c*x^2)+1/2*x^3/b^2/sqrt(c*x^2)+a^3*x/b^4/sqrt(c*x^2)/(b*x+a)+3*a^2*x*ln(b*x+a)/b^4/sqrt(c*x^2),1],
[x^3/sqrt(c*x^2)/(b*x+a)^2,x,3,x^2/b^2/sqrt(c*x^2)-a^2*x/b^3/sqrt(c*x^2)/(b*x+a)-2*a*x*ln(b*x+a)/b^3/sqrt(c*x^2),1],
[x^2/sqrt(c*x^2)/(b*x+a)^2,x,3,a*x/b^2/sqrt(c*x^2)/(b*x+a)+x*ln(b*x+a)/b^2/sqrt(c*x^2),1],
[x/sqrt(c*x^2)/(b*x+a)^2,x,2,-x/b/sqrt(c*x^2)/(b*x+a),1],
[1/sqrt(c*x^2)/(b*x+a)^2,x,3,x/a/sqrt(c*x^2)/(b*x+a)+x*ln(x)/a^2/sqrt(c*x^2)-x*ln(b*x+a)/a^2/sqrt(c*x^2),1],
[1/x/sqrt(c*x^2)/(b*x+a)^2,x,3,-1/a^2/sqrt(c*x^2)-b*x/a^2/sqrt(c*x^2)/(b*x+a)-2*b*x*ln(x)/a^3/sqrt(c*x^2)+2*b*x*ln(b*x+a)/a^3/sqrt(c*x^2),1],
[1/x^2/sqrt(c*x^2)/(b*x+a)^2,x,3,2*b/a^3/sqrt(c*x^2)-1/2/a^2/x/sqrt(c*x^2)+b^2*x/a^3/sqrt(c*x^2)/(b*x+a)+3*b^2*x*ln(x)/a^4/sqrt(c*x^2)-3*b^2*x*ln(b*x+a)/a^4/sqrt(c*x^2),1],
[x^5/(c*x^2)^(3/2)/(b*x+a)^2,x,3,x^2/b^2/c/sqrt(c*x^2)-a^2*x/b^3/c/sqrt(c*x^2)/(b*x+a)-2*a*x*ln(b*x+a)/b^3/c/sqrt(c*x^2),1],
[x^4/(c*x^2)^(3/2)/(b*x+a)^2,x,3,a*x/b^2/c/sqrt(c*x^2)/(b*x+a)+x*ln(b*x+a)/b^2/c/sqrt(c*x^2),1],
[x^3/(c*x^2)^(3/2)/(b*x+a)^2,x,2,-x/b/c/sqrt(c*x^2)/(b*x+a),1],
[x^2/(c*x^2)^(3/2)/(b*x+a)^2,x,3,x/a/c/sqrt(c*x^2)/(b*x+a)+x*ln(x)/a^2/c/sqrt(c*x^2)-x*ln(b*x+a)/a^2/c/sqrt(c*x^2),1],
[x/(c*x^2)^(3/2)/(b*x+a)^2,x,3,-1/a^2/c/sqrt(c*x^2)-b*x/a^2/c/sqrt(c*x^2)/(b*x+a)-2*b*x*ln(x)/a^3/c/sqrt(c*x^2)+2*b*x*ln(b*x+a)/a^3/c/sqrt(c*x^2),1],
[1/(c*x^2)^(3/2)/(b*x+a)^2,x,3,2*b/a^3/c/sqrt(c*x^2)-1/2/a^2/c/x/sqrt(c*x^2)+b^2*x/a^3/c/sqrt(c*x^2)/(b*x+a)+3*b^2*x*ln(x)/a^4/c/sqrt(c*x^2)-3*b^2*x*ln(b*x+a)/a^4/c/sqrt(c*x^2),1],
[(d*x)^m*(c*x^2)^(5/2)*(b*x+a),x,3,a*c^2*(d*x)^(6+m)*sqrt(c*x^2)/d^6/(6+m)/x+b*c^2*(d*x)^(7+m)*sqrt(c*x^2)/d^7/(7+m)/x,1],
[(d*x)^m*(c*x^2)^(3/2)*(b*x+a),x,3,a*c*(d*x)^(4+m)*sqrt(c*x^2)/d^4/(4+m)/x+b*c*(d*x)^(5+m)*sqrt(c*x^2)/d^5/(5+m)/x,1],
[(d*x)^m*sqrt(c*x^2)*(b*x+a),x,3,a*(d*x)^(1+m)*sqrt(c*x^2)/d/(2+m)+b*(d*x)^(2+m)*sqrt(c*x^2)/d^2/(3+m),1],
[(d*x)^m*(b*x+a)/sqrt(c*x^2),x,3,a*(d*x)^(1+m)/d/m/sqrt(c*x^2)+b*(d*x)^(2+m)/d^2/(1+m)/sqrt(c*x^2),1],
[(d*x)^m*(b*x+a)/(c*x^2)^(3/2),x,3,-a*d^2*x*(d*x)^(-2+m)/c/(2-m)/sqrt(c*x^2)-b*d*x*(d*x)^(-1+m)/c/(1-m)/sqrt(c*x^2),1],
[(d*x)^m*(b*x+a)/(c*x^2)^(5/2),x,3,-a*d^4*x*(d*x)^(-4+m)/c^2/(4-m)/sqrt(c*x^2)-b*d^3*x*(d*x)^(-3+m)/c^2/(3-m)/sqrt(c*x^2),1],
[(d*x)^m*(c*x^2)^(5/2)*(b*x+a)^2,x,3,a^2*c^2*(d*x)^(6+m)*sqrt(c*x^2)/d^6/(6+m)/x+2*a*b*c^2*(d*x)^(7+m)*sqrt(c*x^2)/d^7/(7+m)/x+b^2*c^2*(d*x)^(8+m)*sqrt(c*x^2)/d^8/(8+m)/x,1],
[(d*x)^m*(c*x^2)^(3/2)*(b*x+a)^2,x,3,a^2*c*(d*x)^(4+m)*sqrt(c*x^2)/d^4/(4+m)/x+2*a*b*c*(d*x)^(5+m)*sqrt(c*x^2)/d^5/(5+m)/x+b^2*c*(d*x)^(6+m)*sqrt(c*x^2)/d^6/(6+m)/x,1],
[(d*x)^m*sqrt(c*x^2)*(b*x+a)^2,x,3,a^2*(d*x)^(2+m)*sqrt(c*x^2)/d^2/(2+m)/x+2*a*b*(d*x)^(3+m)*sqrt(c*x^2)/d^3/(3+m)/x+b^2*(d*x)^(4+m)*sqrt(c*x^2)/d^4/(4+m)/x,1],
[(d*x)^m*(b*x+a)^2/sqrt(c*x^2),x,3,a^2*x*(d*x)^m/m/sqrt(c*x^2)+2*a*b*x*(d*x)^(1+m)/d/(1+m)/sqrt(c*x^2)+b^2*x*(d*x)^(2+m)/d^2/(2+m)/sqrt(c*x^2),1],
[(d*x)^m*(b*x+a)^2/(c*x^2)^(3/2),x,3,-a^2*d^2*x*(d*x)^(-2+m)/c/(2-m)/sqrt(c*x^2)-2*a*b*d*x*(d*x)^(-1+m)/c/(1-m)/sqrt(c*x^2)+b^2*x*(d*x)^m/c/m/sqrt(c*x^2),1],
[(d*x)^m*(b*x+a)^2/(c*x^2)^(5/2),x,3,-a^2*d^4*x*(d*x)^(-4+m)/c^2/(4-m)/sqrt(c*x^2)-2*a*b*d^3*x*(d*x)^(-3+m)/c^2/(3-m)/sqrt(c*x^2)-b^2*d^2*x*(d*x)^(-2+m)/c^2/(2-m)/sqrt(c*x^2),1],
[x^2*sqrt(c*x^2)*(b*x+a)^p,x,3,-a^3*sqrt(c*x^2)*(b*x+a)^(p+1)/b^4/(p+1)/x+3*a^2*sqrt(c*x^2)*(b*x+a)^(2+p)/b^4/(2+p)/x-3*a*sqrt(c*x^2)*(b*x+a)^(3+p)/b^4/(3+p)/x+sqrt(c*x^2)*(b*x+a)^(4+p)/b^4/(4+p)/x,1],
[x*sqrt(c*x^2)*(b*x+a)^p,x,3,a^2*sqrt(c*x^2)*(b*x+a)^(p+1)/b^3/(p+1)/x-2*a*sqrt(c*x^2)*(b*x+a)^(2+p)/b^3/(2+p)/x+sqrt(c*x^2)*(b*x+a)^(3+p)/b^3/(3+p)/x,1],
[sqrt(c*x^2)*(b*x+a)^p,x,3,-a*sqrt(c*x^2)*(b*x+a)^(p+1)/b^2/(p+1)/x+sqrt(c*x^2)*(b*x+a)^(2+p)/b^2/(2+p)/x,1],
[sqrt(c*x^2)*(b*x+a)^p/x,x,2,sqrt(c*x^2)*(b*x+a)^(p+1)/b/(p+1)/x,1],
[sqrt(c*x^2)*(b*x+a)^p/x^2,x,2,-sqrt(c*x^2)*(b*x+a)^(p+1)*hypergeom([1, p+1],[2+p],1+b*x/a)/a/(p+1)/x,1],
[sqrt(c*x^2)*(b*x+a)^p/x^3,x,2,b*sqrt(c*x^2)*(b*x+a)^(p+1)*hypergeom([2, p+1],[2+p],1+b*x/a)/a^2/(p+1)/x,1],
[sqrt(c*x^2)*(b*x+a)^p/x^4,x,2,-b^2*sqrt(c*x^2)*(b*x+a)^(p+1)*hypergeom([3, p+1],[2+p],1+b*x/a)/a^3/(p+1)/x,1],
[x*(c*x^2)^(3/2)*(b*x+a)^p,x,3,a^4*c*sqrt(c*x^2)*(b*x+a)^(p+1)/b^5/(p+1)/x-4*a^3*c*sqrt(c*x^2)*(b*x+a)^(2+p)/b^5/(2+p)/x+6*a^2*c*sqrt(c*x^2)*(b*x+a)^(3+p)/b^5/(3+p)/x-4*a*c*sqrt(c*x^2)*(b*x+a)^(4+p)/b^5/(4+p)/x+c*sqrt(c*x^2)*(b*x+a)^(5+p)/b^5/(5+p)/x,1],
[(c*x^2)^(3/2)*(b*x+a)^p,x,3,-a^3*c*sqrt(c*x^2)*(b*x+a)^(p+1)/b^4/(p+1)/x+3*a^2*c*sqrt(c*x^2)*(b*x+a)^(2+p)/b^4/(2+p)/x-3*a*c*sqrt(c*x^2)*(b*x+a)^(3+p)/b^4/(3+p)/x+c*sqrt(c*x^2)*(b*x+a)^(4+p)/b^4/(4+p)/x,1],
[(c*x^2)^(3/2)*(b*x+a)^p/x,x,3,a^2*c*sqrt(c*x^2)*(b*x+a)^(p+1)/b^3/(p+1)/x-2*a*c*sqrt(c*x^2)*(b*x+a)^(2+p)/b^3/(2+p)/x+c*sqrt(c*x^2)*(b*x+a)^(3+p)/b^3/(3+p)/x,1],
[(c*x^2)^(3/2)*(b*x+a)^p/x^2,x,3,-a*c*sqrt(c*x^2)*(b*x+a)^(p+1)/b^2/(p+1)/x+c*sqrt(c*x^2)*(b*x+a)^(2+p)/b^2/(2+p)/x,1],
[(c*x^2)^(3/2)*(b*x+a)^p/x^3,x,2,c*sqrt(c*x^2)*(b*x+a)^(p+1)/b/(p+1)/x,1],
[(c*x^2)^(3/2)*(b*x+a)^p/x^4,x,2,-c*sqrt(c*x^2)*(b*x+a)^(p+1)*hypergeom([1, p+1],[2+p],1+b*x/a)/a/(p+1)/x,1],
[(c*x^2)^(3/2)*(b*x+a)^p/x^5,x,2,b*c*sqrt(c*x^2)*(b*x+a)^(p+1)*hypergeom([2, p+1],[2+p],1+b*x/a)/a^2/(p+1)/x,1],
[(c*x^2)^(3/2)*(b*x+a)^p/x^6,x,2,-b^2*c*sqrt(c*x^2)*(b*x+a)^(p+1)*hypergeom([3, p+1],[2+p],1+b*x/a)/a^3/(p+1)/x,1],
[(c*x^2)^(5/2)*(b*x+a)^p,x,3,-a^5*c^2*sqrt(c*x^2)*(b*x+a)^(p+1)/b^6/(p+1)/x+5*a^4*c^2*sqrt(c*x^2)*(b*x+a)^(2+p)/b^6/(2+p)/x-10*a^3*c^2*sqrt(c*x^2)*(b*x+a)^(3+p)/b^6/(3+p)/x+10*a^2*c^2*sqrt(c*x^2)*(b*x+a)^(4+p)/b^6/(4+p)/x-5*a*c^2*sqrt(c*x^2)*(b*x+a)^(5+p)/b^6/(5+p)/x+c^2*sqrt(c*x^2)*(b*x+a)^(6+p)/b^6/(6+p)/x,1],
[(c*x^2)^(5/2)*(b*x+a)^p/x,x,3,a^4*c^2*sqrt(c*x^2)*(b*x+a)^(p+1)/b^5/(p+1)/x-4*a^3*c^2*sqrt(c*x^2)*(b*x+a)^(2+p)/b^5/(2+p)/x+6*a^2*c^2*sqrt(c*x^2)*(b*x+a)^(3+p)/b^5/(3+p)/x-4*a*c^2*sqrt(c*x^2)*(b*x+a)^(4+p)/b^5/(4+p)/x+c^2*sqrt(c*x^2)*(b*x+a)^(5+p)/b^5/(5+p)/x,1],
[(c*x^2)^(5/2)*(b*x+a)^p/x^2,x,3,-a^3*c^2*sqrt(c*x^2)*(b*x+a)^(p+1)/b^4/(p+1)/x+3*a^2*c^2*sqrt(c*x^2)*(b*x+a)^(2+p)/b^4/(2+p)/x-3*a*c^2*sqrt(c*x^2)*(b*x+a)^(3+p)/b^4/(3+p)/x+c^2*sqrt(c*x^2)*(b*x+a)^(4+p)/b^4/(4+p)/x,1],
[(c*x^2)^(5/2)*(b*x+a)^p/x^3,x,3,a^2*c^2*sqrt(c*x^2)*(b*x+a)^(p+1)/b^3/(p+1)/x-2*a*c^2*sqrt(c*x^2)*(b*x+a)^(2+p)/b^3/(2+p)/x+c^2*sqrt(c*x^2)*(b*x+a)^(3+p)/b^3/(3+p)/x,1],
[(c*x^2)^(5/2)*(b*x+a)^p/x^4,x,3,-a*c^2*sqrt(c*x^2)*(b*x+a)^(p+1)/b^2/(p+1)/x+c^2*sqrt(c*x^2)*(b*x+a)^(2+p)/b^2/(2+p)/x,1],
[(c*x^2)^(5/2)*(b*x+a)^p/x^5,x,2,c^2*sqrt(c*x^2)*(b*x+a)^(p+1)/b/(p+1)/x,1],
[(c*x^2)^(5/2)*(b*x+a)^p/x^6,x,2,-c^2*sqrt(c*x^2)*(b*x+a)^(p+1)*hypergeom([1, p+1],[2+p],1+b*x/a)/a/(p+1)/x,1],
[(c*x^2)^(5/2)*(b*x+a)^p/x^7,x,2,b*c^2*sqrt(c*x^2)*(b*x+a)^(p+1)*hypergeom([2, p+1],[2+p],1+b*x/a)/a^2/(p+1)/x,1],
[x^4*(b*x+a)^p/sqrt(c*x^2),x,3,-a^3*x*(b*x+a)^(p+1)/b^4/(p+1)/sqrt(c*x^2)+3*a^2*x*(b*x+a)^(2+p)/b^4/(2+p)/sqrt(c*x^2)-3*a*x*(b*x+a)^(3+p)/b^4/(3+p)/sqrt(c*x^2)+x*(b*x+a)^(4+p)/b^4/(4+p)/sqrt(c*x^2),1],
[x^3*(b*x+a)^p/sqrt(c*x^2),x,3,a^2*x*(b*x+a)^(p+1)/b^3/(p+1)/sqrt(c*x^2)-2*a*x*(b*x+a)^(2+p)/b^3/(2+p)/sqrt(c*x^2)+x*(b*x+a)^(3+p)/b^3/(3+p)/sqrt(c*x^2),1],
[x^2*(b*x+a)^p/sqrt(c*x^2),x,3,-a*x*(b*x+a)^(p+1)/b^2/(p+1)/sqrt(c*x^2)+x*(b*x+a)^(2+p)/b^2/(2+p)/sqrt(c*x^2),1],
[x*(b*x+a)^p/sqrt(c*x^2),x,2,x*(b*x+a)^(p+1)/b/(p+1)/sqrt(c*x^2),1],
[(b*x+a)^p/sqrt(c*x^2),x,2,-x*(b*x+a)^(p+1)*hypergeom([1, p+1],[2+p],1+b*x/a)/a/(p+1)/sqrt(c*x^2),1],
[(b*x+a)^p/x/sqrt(c*x^2),x,2,b*x*(b*x+a)^(p+1)*hypergeom([2, p+1],[2+p],1+b*x/a)/a^2/(p+1)/sqrt(c*x^2),1],
[(b*x+a)^p/x^2/sqrt(c*x^2),x,2,-b^2*x*(b*x+a)^(p+1)*hypergeom([3, p+1],[2+p],1+b*x/a)/a^3/(p+1)/sqrt(c*x^2),1],
[x^6*(b*x+a)^p/(c*x^2)^(3/2),x,3,-a^3*x*(b*x+a)^(p+1)/b^4/c/(p+1)/sqrt(c*x^2)+3*a^2*x*(b*x+a)^(2+p)/b^4/c/(2+p)/sqrt(c*x^2)-3*a*x*(b*x+a)^(3+p)/b^4/c/(3+p)/sqrt(c*x^2)+x*(b*x+a)^(4+p)/b^4/c/(4+p)/sqrt(c*x^2),1],
[x^5*(b*x+a)^p/(c*x^2)^(3/2),x,3,a^2*x*(b*x+a)^(p+1)/b^3/c/(p+1)/sqrt(c*x^2)-2*a*x*(b*x+a)^(2+p)/b^3/c/(2+p)/sqrt(c*x^2)+x*(b*x+a)^(3+p)/b^3/c/(3+p)/sqrt(c*x^2),1],
[x^4*(b*x+a)^p/(c*x^2)^(3/2),x,3,-a*x*(b*x+a)^(p+1)/b^2/c/(p+1)/sqrt(c*x^2)+x*(b*x+a)^(2+p)/b^2/c/(2+p)/sqrt(c*x^2),1],
[x^3*(b*x+a)^p/(c*x^2)^(3/2),x,2,x*(b*x+a)^(p+1)/b/c/(p+1)/sqrt(c*x^2),1],
[x^2*(b*x+a)^p/(c*x^2)^(3/2),x,2,-x*(b*x+a)^(p+1)*hypergeom([1, p+1],[2+p],1+b*x/a)/a/c/(p+1)/sqrt(c*x^2),1],
[x*(b*x+a)^p/(c*x^2)^(3/2),x,2,b*x*(b*x+a)^(p+1)*hypergeom([2, p+1],[2+p],1+b*x/a)/a^2/c/(p+1)/sqrt(c*x^2),1],
[(b*x+a)^p/(c*x^2)^(3/2),x,2,-b^2*x*(b*x+a)^(p+1)*hypergeom([3, p+1],[2+p],1+b*x/a)/a^3/c/(p+1)/sqrt(c*x^2),1],
[(b*x+a)^p/x/(c*x^2)^(3/2),x,2,b^3*x*(b*x+a)^(p+1)*hypergeom([4, p+1],[2+p],1+b*x/a)/a^4/c/(p+1)/sqrt(c*x^2),1],
[x^8*(b*x+a)^p/(c*x^2)^(5/2),x,3,-a^3*x*(b*x+a)^(p+1)/b^4/c^2/(p+1)/sqrt(c*x^2)+3*a^2*x*(b*x+a)^(2+p)/b^4/c^2/(2+p)/sqrt(c*x^2)-3*a*x*(b*x+a)^(3+p)/b^4/c^2/(3+p)/sqrt(c*x^2)+x*(b*x+a)^(4+p)/b^4/c^2/(4+p)/sqrt(c*x^2),1],
[x^7*(b*x+a)^p/(c*x^2)^(5/2),x,3,a^2*x*(b*x+a)^(p+1)/b^3/c^2/(p+1)/sqrt(c*x^2)-2*a*x*(b*x+a)^(2+p)/b^3/c^2/(2+p)/sqrt(c*x^2)+x*(b*x+a)^(3+p)/b^3/c^2/(3+p)/sqrt(c*x^2),1],
[x^6*(b*x+a)^p/(c*x^2)^(5/2),x,3,-a*x*(b*x+a)^(p+1)/b^2/c^2/(p+1)/sqrt(c*x^2)+x*(b*x+a)^(2+p)/b^2/c^2/(2+p)/sqrt(c*x^2),1],
[x^5*(b*x+a)^p/(c*x^2)^(5/2),x,2,x*(b*x+a)^(p+1)/b/c^2/(p+1)/sqrt(c*x^2),1],
[x^4*(b*x+a)^p/(c*x^2)^(5/2),x,2,-x*(b*x+a)^(p+1)*hypergeom([1, p+1],[2+p],1+b*x/a)/a/c^2/(p+1)/sqrt(c*x^2),1],
[x^3*(b*x+a)^p/(c*x^2)^(5/2),x,2,b*x*(b*x+a)^(p+1)*hypergeom([2, p+1],[2+p],1+b*x/a)/a^2/c^2/(p+1)/sqrt(c*x^2),1],
[x^2*(b*x+a)^p/(c*x^2)^(5/2),x,2,-b^2*x*(b*x+a)^(p+1)*hypergeom([3, p+1],[2+p],1+b*x/a)/a^3/c^2/(p+1)/sqrt(c*x^2),1],
[x*(b*x+a)^p/(c*x^2)^(5/2),x,2,b^3*x*(b*x+a)^(p+1)*hypergeom([4, p+1],[2+p],1+b*x/a)/a^4/c^2/(p+1)/sqrt(c*x^2),1],
[(d*x)^m*(c*x^2)^(5/2)*(b*x+a)^p,x,3,c^2*(d*x)^(5+m)*sqrt(c*x^2)*(b*x+a)^p*hypergeom([6+m, -p],[7+m],-b*x/a)/d^5/(6+m)/((1+b*x/a)^p),1],
[(d*x)^m*(c*x^2)^(3/2)*(b*x+a)^p,x,3,c*(d*x)^(3+m)*sqrt(c*x^2)*(b*x+a)^p*hypergeom([4+m, -p],[5+m],-b*x/a)/d^3/(4+m)/((1+b*x/a)^p),1],
[(d*x)^m*sqrt(c*x^2)*(b*x+a)^p,x,3,(d*x)^(1+m)*sqrt(c*x^2)*(b*x+a)^p*hypergeom([2+m, -p],[3+m],-b*x/a)/d/(2+m)/((1+b*x/a)^p),1],
[(d*x)^m*(b*x+a)^p/sqrt(c*x^2),x,3,(d*x)^(1+m)*(b*x+a)^p*hypergeom([m, -p],[1+m],-b*x/a)/d/m/sqrt(c*x^2)/((1+b*x/a)^p),1],
[(d*x)^m*(b*x+a)^p/(c*x^2)^(3/2),x,3,-d*(d*x)^(-1+m)*(b*x+a)^p*hypergeom([-2+m, -p],[-1+m],-b*x/a)/c/(2-m)/sqrt(c*x^2)/((1+b*x/a)^p),1],
[(d*x)^m*(b*x+a)^p/(c*x^2)^(5/2),x,3,-d^3*(d*x)^(-3+m)*(b*x+a)^p*hypergeom([-4+m, -p],[-3+m],-b*x/a)/c^2/(4-m)/sqrt(c*x^2)/((1+b*x/a)^p),1],
[sqrt(1/x)*sqrt(x)*sqrt(b*x+a),x,2,2/3*sqrt(1/x)*sqrt(x)*(b*x+a)^(3/2)/b,1],
[x^3*(d*x^2)^n*(b*x+a)^(-5-2*n),x,2,1/2*x^4*(d*x^2)^n/a/(2+n)/((b*x+a)^(4+2*n)),1],
[x^2*(d*x^2)^n*(b*x+a)^(-4-2*n),x,2,x^3*(d*x^2)^n*(b*x+a)^(-3-2*n)/a/(3+2*n),1],
[x*(d*x^2)^n*(b*x+a)^(-3-2*n),x,2,1/2*x^2*(d*x^2)^n/a/(1+n)/((b*x+a)^(2+2*n)),1],
[(d*x^2)^n*(b*x+a)^(-2-2*n),x,2,x*(d*x^2)^n*(b*x+a)^(-1-2*n)/a/(1+2*n),1],
[(d*x^2)^n*(b*x+a)^(-1-2*n)/x,x,2,1/2*(d*x^2)^n/a/n/((b*x+a)^(2*n)),1],
[(d*x^2)^n/x^2/((b*x+a)^(2*n)),x,2,-(d*x^2)^n*(b*x+a)^(1-2*n)/a/(1-2*n)/x,1],
[(d*x^2)^n*(b*x+a)^(1-2*n)/x^3,x,2,-1/2*(d*x^2)^n*(b*x+a)^(2-2*n)/a/(1-n)/x^2,1],
[(d*x^2)^n*(b*x+a)^(2-2*n)/x^4,x,2,-(d*x^2)^n*(b*x+a)^(3-2*n)/a/(3-2*n)/x^3,1],
[x^m*(d*x^2)^n*(b*x+a)^(-2-m-2*n),x,2,x^(1+m)*(d*x^2)^n*(b*x+a)^(-1-m-2*n)/a/(1+m+2*n),1],
[(c*x)^m*(d*x^2)^n*(b*x+a)^(-2-m-2*n),x,2,(c*x)^(1+m)*(d*x^2)^n*(b*x+a)^(-1-m-2*n)/a/c/(1+m+2*n),1],
[x^m*(d*x^2)^n*(b*x+a)^p,x,3,x^(1+m)*(d*x^2)^n*(b*x+a)^p*hypergeom([1+m+2*n, -p],[2+m+2*n],-b*x/a)/(1+m+2*n)/((1+b*x/a)^p),1],
[(c*x)^m*(d*x^2)^n*(b*x+a)^p,x,3,(c*x)^(1+m)*(d*x^2)^n*(b*x+a)^p*hypergeom([1+m+2*n, -p],[2+m+2*n],-b*x/a)/c/(1+m+2*n)/((1+b*x/a)^p),1],
[x^5/sqrt(d*x^2)/(b*x^2+a),x,5,-a*sqrt(d*x^2)/b^2/d+1/3*(d*x^2)^(3/2)/b/d^2+a^(3/2)*arctan(sqrt(b)*sqrt(d*x^2)/sqrt(a)/sqrt(d))/b^(5/2)/sqrt(d),1],
[x^3/sqrt(d*x^2)/(b*x^2+a),x,4,sqrt(d*x^2)/b/d-sqrt(a)*arctan(sqrt(b)*sqrt(d*x^2)/sqrt(a)/sqrt(d))/b^(3/2)/sqrt(d),1],
[x/sqrt(d*x^2)/(b*x^2+a),x,3,arctan(sqrt(b)*sqrt(d*x^2)/sqrt(a)/sqrt(d))/sqrt(a)/sqrt(b)/sqrt(d),1],
[1/x/sqrt(d*x^2)/(b*x^2+a),x,4,-1/a/sqrt(d*x^2)-sqrt(b)*arctan(sqrt(b)*sqrt(d*x^2)/sqrt(a)/sqrt(d))/a^(3/2)/sqrt(d),1],
[1/x^3/sqrt(d*x^2)/(b*x^2+a),x,5,-1/3*d/a/(d*x^2)^(3/2)+b/a^2/sqrt(d*x^2)+b^(3/2)*arctan(sqrt(b)*sqrt(d*x^2)/sqrt(a)/sqrt(d))/a^(5/2)/sqrt(d),1],
[x^(-1+n)*(d*x^n)^p*(a+b*x^n)^q,x,3,(d*x^n)^(p+1)*(a+b*x^n)^q*hypergeom([p+1, -q],[2+p],-b*x^n/a)/d/n/(p+1)/((1+b*x^n/a)^q),1],
[x^(-1+n)*(d*x^n)^p*(a+b*x^n+c*x^(2*n))^q,x,3,(d*x^n)^(p+1)*(a+b*x^n+c*x^(2*n))^q*AppellF1(p+1,-q,-q,2+p,-2*c*x^n/(b-sqrt(-4*a*c+b^2)),-2*c*x^n/(b+sqrt(-4*a*c+b^2)))/d/n/(p+1)/((1+2*c*x^n/(b-sqrt(-4*a*c+b^2)))^q)/((1+2*c*x^n/(b+sqrt(-4*a*c+b^2)))^q),1],
[sqrt(a*x^4)/sqrt(x^2+1),x,3,1/2*sqrt(a*x^4)*sqrt(x^2+1)/x-1/2*sqrt(a*x^4)*arcsinh(x)/x^2,1],
[sqrt(a*x^3)/sqrt(x^2+1),x,4,2/3*sqrt(a*x^3)*sqrt(x^2+1)/x-1/3*sqrt(a*x^3)*(1+x)*sqrt((x^2+1)/(1+x)^2)*InverseJacobiAM(2*arctan(sqrt(x)),sqrt(1/2))/x^(3/2)/sqrt(x^2+1),1],
[sqrt(a*x^2)/sqrt(x^2+1),x,2,sqrt(a*x^2)*sqrt(x^2+1)/x,1],
[sqrt(a*x)/sqrt(x^2+1),x,6,2*sqrt(a*x)*sqrt(x^2+1)/(1+x)-2*sqrt(a)*(1+x)*sqrt((x^2+1)/(1+x)^2)*EllipticE(sin(2*arctan(sqrt(a*x)/sqrt(a))),sqrt(1/2))/sqrt(x^2+1)+sqrt(a)*(1+x)*sqrt((x^2+1)/(1+x)^2)*InverseJacobiAM(2*arctan(sqrt(a*x)/sqrt(a)),sqrt(1/2))/sqrt(x^2+1),1],
[sqrt(a/x)/sqrt(x^2+1),x,3,sqrt(a/x)*sqrt(x)*(1+x)*sqrt((x^2+1)/(1+x)^2)*InverseJacobiAM(2*arctan(sqrt(x)),sqrt(1/2))/sqrt(x^2+1),1],
[sqrt(a/x^2)/sqrt(x^2+1),x,4,-sqrt(a/x^2)*x*arctanh(sqrt(x^2+1)),1],
[sqrt(a/x^3)/sqrt(x^2+1),x,7,-2*sqrt(a/x^3)*x*sqrt(x^2+1)+2*sqrt(a/x^3)*x^2*sqrt(x^2+1)/(1+x)-2*sqrt(a/x^3)*x^(3/2)*(1+x)*sqrt((x^2+1)/(1+x)^2)*EllipticE(sin(2*arctan(sqrt(x))),sqrt(1/2))/sqrt(x^2+1)+sqrt(a/x^3)*x^(3/2)*(1+x)*sqrt((x^2+1)/(1+x)^2)*InverseJacobiAM(2*arctan(sqrt(x)),sqrt(1/2))/sqrt(x^2+1),1],
[sqrt(a/x^4)/sqrt(x^2+1),x,2,-sqrt(a/x^4)*x*sqrt(x^2+1),1],
[sqrt(a*x^4)/sqrt(x^3+1),x,2,2/3*sqrt(a*x^4)*sqrt(x^3+1)/x^2,1],
[sqrt(a*x^3)/sqrt(x^3+1),x,5,(1+sqrt(3))*sqrt(a*x^3)*sqrt(x^3+1)/x/(1+(1+sqrt(3))*x)-3^(1/4)*sqrt(a*x^3)*(1+x)*sqrt((x^2-x+1)/(1+(1+sqrt(3))*x)^2)*EllipticE(sin(arccos((1+(1-sqrt(3))*x)/(1+(1+sqrt(3))*x))),sqrt(1/2+1/4*sqrt(3)))/x/sqrt(x*(1+x)/(1+(1+sqrt(3))*x)^2)/sqrt(x^3+1)-1/6*(1-sqrt(3))*sqrt(a*x^3)*(1+x)*sqrt((x^2-x+1)/(1+(1+sqrt(3))*x)^2)*InverseJacobiAM(arccos((1+(1-sqrt(3))*x)/(1+(1+sqrt(3))*x)),sqrt(1/2+1/4*sqrt(3)))*3^(3/4)/x/sqrt(x*(1+x)/(1+(1+sqrt(3))*x)^2)/sqrt(x^3+1),1],
[sqrt(a*x^2)/sqrt(x^3+1),x,4,2*sqrt(a*x^2)*sqrt(x^3+1)/x/(1+sqrt(3)+x)-3^(1/4)*sqrt(2-sqrt(3))*sqrt(a*x^2)*(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*EllipticE(sin(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x))),sqrt(-7-4*sqrt(3)))/x/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^3+1)+2/3*sqrt(2)*sqrt(a*x^2)*(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/x/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^3+1),1],
[sqrt(a*x)/sqrt(x^3+1),x,4,2/3*sqrt(a)*arcsinh((a*x)^(3/2)/a^(3/2)),1],
[sqrt(a/x)/sqrt(x^3+1),x,3,1/3*sqrt(a/x)*x*(1+x)*sqrt((x^2-x+1)/(1+(1+sqrt(3))*x)^2)*InverseJacobiAM(arccos((1+(1-sqrt(3))*x)/(1+(1+sqrt(3))*x)),sqrt(1/2+1/4*sqrt(3)))*3^(3/4)/sqrt(x*(1+x)/(1+(1+sqrt(3))*x)^2)/sqrt(x^3+1),1],
[sqrt(a/x^2)/sqrt(x^3+1),x,4,-2/3*sqrt(a/x^2)*x*arctanh(sqrt(x^3+1)),1],
[sqrt(a/x^3)/sqrt(x^3+1),x,6,-2*sqrt(a/x^3)*x*sqrt(x^3+1)+2*(1+sqrt(3))*sqrt(a/x^3)*x^2*sqrt(x^3+1)/(1+(1+sqrt(3))*x)-2*3^(1/4)*sqrt(a/x^3)*x^2*(1+x)*sqrt((x^2-x+1)/(1+(1+sqrt(3))*x)^2)*EllipticE(sin(arccos((1+(1-sqrt(3))*x)/(1+(1+sqrt(3))*x))),sqrt(1/2+1/4*sqrt(3)))/sqrt(x*(1+x)/(1+(1+sqrt(3))*x)^2)/sqrt(x^3+1)-1/3*(1-sqrt(3))*sqrt(a/x^3)*x^2*(1+x)*sqrt((x^2-x+1)/(1+(1+sqrt(3))*x)^2)*InverseJacobiAM(arccos((1+(1-sqrt(3))*x)/(1+(1+sqrt(3))*x)),sqrt(1/2+1/4*sqrt(3)))*3^(3/4)/sqrt(x*(1+x)/(1+(1+sqrt(3))*x)^2)/sqrt(x^3+1),1],
[sqrt(a/x^4)/sqrt(x^3+1),x,5,-sqrt(a/x^4)*x*sqrt(x^3+1)+sqrt(a/x^4)*x^2*sqrt(x^3+1)/(1+sqrt(3)+x)-1/2*3^(1/4)*sqrt(2-sqrt(3))*sqrt(a/x^4)*x^2*(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*EllipticE(sin(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x))),sqrt(-7-4*sqrt(3)))/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^3+1)+1/3*sqrt(2)*sqrt(a/x^4)*x^2*(1+x)*sqrt((x^2-x+1)/(1+sqrt(3)+x)^2)*InverseJacobiAM(arcsin((1-sqrt(3)+x)/(1+sqrt(3)+x)),sqrt(-7-4*sqrt(3)))*3^(3/4)/sqrt((1+x)/(1+sqrt(3)+x)^2)/sqrt(x^3+1),1],
[sqrt(a*x^23)/sqrt(x^5+1),x,6,-3/20*sqrt(a*x^23)*sqrt(x^5+1)/x^9+1/10*sqrt(a*x^23)*sqrt(x^5+1)/x^4+3/20*sqrt(a*x^23)*arcsinh(x^(5/2))/x^(23/2),1],
[sqrt(a*x^13)/sqrt(x^5+1),x,5,1/5*sqrt(a*x^13)*sqrt(x^5+1)/x^4-1/5*sqrt(a*x^13)*arcsinh(x^(5/2))/x^(13/2),1],
[sqrt(a*x^3)/sqrt(x^5+1),x,4,2/5*sqrt(a*x^3)*arcsinh(x^(5/2))/x^(3/2),1],
[sqrt(a/x^7)/sqrt(x^5+1),x,2,-2/5*sqrt(a/x^7)*x*sqrt(x^5+1),1],
[sqrt(a/x^17)/sqrt(x^5+1),x,3,-2/15*sqrt(a/x^17)*x*sqrt(x^5+1)+4/15*sqrt(a/x^17)*x^6*sqrt(x^5+1),1],
[sqrt(a*x^(2*n))/sqrt(1+x^n),x,2,x*sqrt(a*x^(2*n))*hypergeom([1/2, 1+1/n],[2+1/n],-x^n)/(1+n),1],
[sqrt(a*x^n)/sqrt(1+x^n),x,2,2*x*sqrt(a*x^n)*hypergeom([1/2, 1/2+1/n],[3/2+1/n],-x^n)/(2+n),1],
[sqrt(a*x^(1/2*n))/sqrt(1+x^n),x,2,4*x*sqrt(a*x^(1/2*n))*hypergeom([1/2, 1/4+1/n],[5/4+1/n],-x^n)/(4+n),1],
[sqrt(a*x^(2*n))/sqrt(1+x^n)+2*sqrt(a*x^(2*n))/(2+n)/(x^n)/sqrt(1+x^n),x,-5,2*x^(1-n)*sqrt(a*x^(2*n))*sqrt(1+x^n)/(2+n),1],
[(b*x^2+1)^p/x/((x^2)^p)/(d*x^2+c),x,2,-1/2*(b*x^2+1)^p*hypergeom([1, -p],[1-p],(b*c-d)*x^2/c/(b*x^2+1))/c/p/((x^2)^p),1],
[(b*x^2+1)^p/((x^2)^p)/(d*x^3+c*x),x,3,-1/2*(b*x^2+1)^p*hypergeom([1, -p],[1-p],(b*c-d)*x^2/c/(b*x^2+1))/c/p/((x^2)^p),1],
[x^(-1-2*p)*(b*x^2+1)^p/(d*x^2+c),x,1,-1/2*(b*x^2+1)^p*hypergeom([1, -p],[1-p],(b*c-d)*x^2/c/(b*x^2+1))/c/p/(x^(2*p)),1],
[(b*x^2+1)^p/(x^(2*p))/(d*x^3+c*x),x,2,-1/2*(b*x^2+1)^p*hypergeom([1, -p],[1-p],(b*c-d)*x^2/c/(b*x^2+1))/c/p/(x^(2*p)),1],
[sqrt(a*x^6)/x/(-x^4+1),x,4,-1/2*sqrt(a*x^6)*arctan(x)/x^3+1/2*sqrt(a*x^6)*arctanh(x)/x^3,1],
[sqrt(a*x^6)/(-x^5+x),x,5,-1/2*sqrt(a*x^6)*arctan(x)/x^3+1/2*sqrt(a*x^6)*arctanh(x)/x^3,1],
[(a*x^6)^(3/2)/x/(-x^4+1),x,6,-a*sqrt(a*x^6)/x^2-1/5*a*x^2*sqrt(a*x^6)+1/2*a*sqrt(a*x^6)*arctan(x)/x^3+1/2*a*sqrt(a*x^6)*arctanh(x)/x^3,1],
[1/(-x^4+1)-sqrt(a*x^6)/x/(-x^4+1),x,8,1/2*arctan(x)+1/2*sqrt(a*x^6)*arctan(x)/x^3+1/2*arctanh(x)-1/2*sqrt(a*x^6)*arctanh(x)/x^3,1],
[1/(-x^4+1)-sqrt(a*x^6)/(-x^5+x),x,9,1/2*arctan(x)+1/2*sqrt(a*x^6)*arctan(x)/x^3+1/2*arctanh(x)-1/2*sqrt(a*x^6)*arctanh(x)/x^3,1],
[sqrt(a*x^3)/(-x^3+x),x,6,-sqrt(a*x^3)*arctan(sqrt(x))/x^(3/2)+sqrt(a*x^3)*arctanh(sqrt(x))/x^(3/2),1],
[x^3*(a*x+1)/sqrt(a*x)/sqrt(-a*x+1),x,8,-75/64*sqrt(a*x)*sqrt(-a*x+1)/a^4-25/32*(a*x)^(3/2)*sqrt(-a*x+1)/a^4-5/8*(a*x)^(5/2)*sqrt(-a*x+1)/a^4-1/4*(a*x)^(7/2)*sqrt(-a*x+1)/a^4-75/128*arcsin(-2*a*x+1)/a^4,1],
[x^2*(a*x+1)/sqrt(a*x)/sqrt(-a*x+1),x,7,-11/8*sqrt(a*x)*sqrt(-a*x+1)/a^3-11/12*(a*x)^(3/2)*sqrt(-a*x+1)/a^3-1/3*(a*x)^(5/2)*sqrt(-a*x+1)/a^3-11/16*arcsin(-2*a*x+1)/a^3,1],
[x*(a*x+1)/sqrt(a*x)/sqrt(-a*x+1),x,6,-7/4*sqrt(a*x)*sqrt(-a*x+1)/a^2-1/2*(a*x)^(3/2)*sqrt(-a*x+1)/a^2-7/8*arcsin(-2*a*x+1)/a^2,1],
[(a*x+1)/sqrt(a*x)/sqrt(-a*x+1),x,4,-sqrt(a*x)*sqrt(-a*x+1)/a-3/2*arcsin(-2*a*x+1)/a,1],
[(a*x+1)/x/sqrt(a*x)/sqrt(-a*x+1),x,5,-2*sqrt(-a*x+1)/sqrt(a*x)-arcsin(-2*a*x+1),1],
[(a*x+1)/x^2/sqrt(a*x)/sqrt(-a*x+1),x,3,-2/3*a*sqrt(-a*x+1)/(a*x)^(3/2)-10/3*a*sqrt(-a*x+1)/sqrt(a*x),1],
[(a*x+1)/x^3/sqrt(a*x)/sqrt(-a*x+1),x,4,-2/5*a^2*sqrt(-a*x+1)/(a*x)^(5/2)-6/5*a^2*sqrt(-a*x+1)/(a*x)^(3/2)-12/5*a^2*sqrt(-a*x+1)/sqrt(a*x),1],
[(a*x+1)/x^4/sqrt(a*x)/sqrt(-a*x+1),x,5,-2/7*a^3*sqrt(-a*x+1)/(a*x)^(7/2)-26/35*a^3*sqrt(-a*x+1)/(a*x)^(5/2)-104/105*a^3*sqrt(-a*x+1)/(a*x)^(3/2)-208/105*a^3*sqrt(-a*x+1)/sqrt(a*x),1],
[(a*x+1)/x^5/sqrt(a*x)/sqrt(-a*x+1),x,6,-2/9*a^4*sqrt(-a*x+1)/(a*x)^(9/2)-34/63*a^4*sqrt(-a*x+1)/(a*x)^(7/2)-68/105*a^4*sqrt(-a*x+1)/(a*x)^(5/2)-272/315*a^4*sqrt(-a*x+1)/(a*x)^(3/2)-544/315*a^4*sqrt(-a*x+1)/sqrt(a*x),1],
[sqrt(a*x)/sqrt(e*x+d)/sqrt(f*x+e),x,2,2*sqrt(d*f-e^2)*sqrt(a*x)*sqrt(e*(f*x+e)/(-d*f+e^2))*EllipticE(sin(arcsin(sqrt(f)*sqrt(e*x+d)/sqrt(d*f-e^2))),sqrt(1-e^2/d/f))/e/sqrt(f)/sqrt(-e*x/d)/sqrt(f*x+e),1],
[sqrt(1-x)/sqrt(x)/sqrt(1+x),x,5,-2*EllipticE(sin(arcsin(sqrt(x))),sqrt(-1))+4*InverseJacobiAM(arcsin(sqrt(x)),sqrt(-1)),1],
[-sqrt(1-x)*sqrt(x)/sqrt(-x)/sqrt(-x*(1+x)),x,6,-2*EllipticE(sin(arcsin(sqrt(x))),sqrt(-1))+4*InverseJacobiAM(arcsin(sqrt(x)),sqrt(-1)),1],
[sqrt(-1+1/x)*sqrt(1/x)*sqrt(x)/sqrt(1+x),x,7,-2*EllipticE(sin(arcsin(sqrt(x))),sqrt(-1))+4*InverseJacobiAM(arcsin(sqrt(x)),sqrt(-1)),1]]: