lst:=[[sin(x)^3*(a*cos(x)+b*sin(x)),x,1],
[sin(x)^2*(a*cos(x)+b*sin(x)),x,1],
[sin(x)*(a*cos(x)+b*sin(x)),x,1],
[a*cos(x)+b*sin(x),x,1],
[csc(x)*(a*cos(x)+b*sin(x)),x,1],
[csc(x)^2*(a*cos(x)+b*sin(x)),x,1],
[csc(x)^3*(a*cos(x)+b*sin(x)),x,1],
[sin(x)^3/(a*cos(x)+b*sin(x)),x,1],
[sin(x)^2/(a*cos(x)+b*sin(x)),x,1],
[sin(x)/(a*cos(x)+b*sin(x)),x,1],
[1/(a*cos(x)+b*sin(x)),x,1],
[csc(x)/(a*cos(x)+b*sin(x)),x,1],
[csc(x)^2/(a*cos(x)+b*sin(x)),x,1],
[csc(x)^3/(a*cos(x)+b*sin(x)),x,1],
[sin(x)^3/(a*cos(x)+b*sin(x))^2,x,1],
[sin(x)^2/(a*cos(x)+b*sin(x))^2,x,1],
[sin(x)/(a*cos(x)+b*sin(x))^2,x,1],
[1/(a*cos(x)+b*sin(x))^2,x,1],
[csc(x)/(a*cos(x)+b*sin(x))^2,x,1],
[csc(x)^2/(a*cos(x)+b*sin(x))^2,x,1],
[csc(x)^3/(a*cos(x)+b*sin(x))^2,x,1],
[sin(x)^3/(a*cos(x)+b*sin(x))^3,x,1],
[sin(x)^2/(a*cos(x)+b*sin(x))^3,x,1],
[sin(x)/(a*cos(x)+b*sin(x))^3,x,1],
[1/(a*cos(x)+b*sin(x))^3,x,1],
[csc(x)/(a*cos(x)+b*sin(x))^3,x,1],
[csc(x)^2/(a*cos(x)+b*sin(x))^3,x,1],
[csc(x)^3/(a*cos(x)+b*sin(x))^3,x,1],
[(a*cos(d*x+c)+I*a*sin(d*x+c))^n/(sin(d*x+c)^n),x,1],
[cos(d*x+c)^5*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[cos(d*x+c)^4*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[cos(d*x+c)^3*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[cos(d*x+c)^2*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[cos(d*x+c)*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[a*cos(d*x+c)+b*sin(d*x+c),x,1],
[sec(d*x+c)*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^2*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^3*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^4*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^5*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^6*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^7*(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[cos(d*x+c)^5*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[cos(d*x+c)^4*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[cos(d*x+c)^3*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[cos(d*x+c)^2*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[cos(d*x+c)*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)^2*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)^3*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)^4*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)^5*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)^6*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)^7*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)^8*(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[cos(d*x+c)^5*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[cos(d*x+c)^4*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[cos(d*x+c)^3*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[cos(d*x+c)^2*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[cos(d*x+c)*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^2*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^3*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^4*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^5*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^6*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^7*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^8*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^9*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^10*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^11*(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[cos(d*x+c)^5*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[cos(d*x+c)^4*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[cos(d*x+c)^3*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[cos(d*x+c)^2*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[cos(d*x+c)*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^2*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^3*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^4*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^5*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^6*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^7*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^8*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^9*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^10*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^11*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^12*(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[cos(d*x+c)^5*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[cos(d*x+c)^4*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[cos(d*x+c)^3*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[cos(d*x+c)^2*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[cos(d*x+c)*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^2*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^3*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^4*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^5*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^6*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^7*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^8*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^9*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^10*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^11*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[sec(d*x+c)^12*(a*cos(d*x+c)+b*sin(d*x+c))^5,x,1],
[cos(d*x+c)^5/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[cos(d*x+c)^4/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[cos(d*x+c)^3/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[cos(d*x+c)^2/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[cos(d*x+c)/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[1/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^2/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^3/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^4/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^5/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[sec(d*x+c)^6/(a*cos(d*x+c)+b*sin(d*x+c)),x,1],
[cos(d*x+c)^4/(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[cos(d*x+c)^3/(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[cos(d*x+c)^2/(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[cos(d*x+c)/(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[1/(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)/(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)^2/(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)^3/(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[sec(d*x+c)^4/(a*cos(d*x+c)+b*sin(d*x+c))^2,x,1],
[cos(d*x+c)^4/(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[cos(d*x+c)^3/(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[cos(d*x+c)^2/(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[cos(d*x+c)/(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[1/(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)/(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^2/(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^3/(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^4/(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[sec(d*x+c)^5/(a*cos(d*x+c)+b*sin(d*x+c))^3,x,1],
[cos(d*x+c)^4/(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[cos(d*x+c)^3/(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[cos(d*x+c)^2/(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[cos(d*x+c)/(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[1/(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)/(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^2/(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^3/(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[sec(d*x+c)^4/(a*cos(d*x+c)+b*sin(d*x+c))^4,x,1],
[cos(d*x+c)^5/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[cos(d*x+c)^4/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[cos(d*x+c)^3/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[cos(d*x+c)^2/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[cos(d*x+c)/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[1/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[sec(d*x+c)/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[sec(d*x+c)^2/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[sec(d*x+c)^3/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[sec(d*x+c)^4/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[sec(d*x+c)^5/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[sec(d*x+c)^6/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[sec(d*x+c)^7/(a*cos(d*x+c)+I*a*sin(d*x+c)),x,1],
[cos(d*x+c)^5/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[cos(d*x+c)^4/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[cos(d*x+c)^3/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[cos(d*x+c)^2/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[cos(d*x+c)/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[1/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[sec(d*x+c)/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[sec(d*x+c)^2/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[sec(d*x+c)^3/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[sec(d*x+c)^4/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[sec(d*x+c)^5/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[sec(d*x+c)^6/(a*cos(d*x+c)+I*a*sin(d*x+c))^2,x,1],
[cos(d*x+c)^5/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[cos(d*x+c)^4/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[cos(d*x+c)^3/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[cos(d*x+c)^2/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[cos(d*x+c)/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[1/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[sec(d*x+c)/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[sec(d*x+c)^2/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[sec(d*x+c)^3/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[sec(d*x+c)^4/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[sec(d*x+c)^5/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[sec(d*x+c)^6/(a*cos(d*x+c)+I*a*sin(d*x+c))^3,x,1],
[(a*cos(d*x+c)+I*a*sin(d*x+c))^n/(cos(d*x+c)^n),x,1],
[1/(sec(x)+tan(x)),x,1],
[sin(x)/(sec(x)+tan(x)),x,1],
[cos(x)/(sec(x)+tan(x)),x,1],
[tan(x)/(sec(x)+tan(x)),x,1],
[cot(x)/(sec(x)+tan(x)),x,1],
[sec(x)/(sec(x)+tan(x)),x,1],
[csc(x)/(sec(x)+tan(x)),x,1],
[1/(sec(x)-tan(x)),x,1],
[sin(x)/(sec(x)-tan(x)),x,1],
[cos(x)/(sec(x)-tan(x)),x,1],
[tan(x)/(sec(x)-tan(x)),x,1],
[cot(x)/(sec(x)-tan(x)),x,1],
[sec(x)/(sec(x)-tan(x)),x,1],
[csc(x)/(sec(x)-tan(x)),x,1],
[csc(d*x+c)*(cot(d*x+c)+csc(d*x+c)),x,1],
[sin(x)/(cot(x)+csc(x)),x,1],
[cos(x)/(cot(x)+csc(x)),x,1],
[tan(x)/(cot(x)+csc(x)),x,1],
[cot(x)/(cot(x)+csc(x)),x,1],
[sec(x)/(cot(x)+csc(x)),x,1],
[csc(x)/(cot(x)+csc(x)),x,1],
[sin(x)/(-cot(x)+csc(x)),x,1],
[cos(x)/(-cot(x)+csc(x)),x,1],
[tan(x)/(-cot(x)+csc(x)),x,1],
[cot(x)/(-cot(x)+csc(x)),x,1],
[sec(x)/(-cot(x)+csc(x)),x,1],
[csc(x)/(-cot(x)+csc(x)),x,1],
[1/(csc(d*x+c)+sin(d*x+c)),x,1],
[sin(d*x+c)/(csc(d*x+c)+sin(d*x+c)),x,1],
[cos(d*x+c)/(csc(d*x+c)+sin(d*x+c)),x,1],
[tan(d*x+c)/(csc(d*x+c)+sin(d*x+c)),x,1],
[cot(d*x+c)/(csc(d*x+c)+sin(d*x+c)),x,1],
[sec(d*x+c)/(csc(d*x+c)+sin(d*x+c)),x,1],
[csc(d*x+c)/(csc(d*x+c)+sin(d*x+c)),x,1],
[1/(csc(d*x+c)-sin(d*x+c)),x,1],
[sin(d*x+c)/(csc(d*x+c)-sin(d*x+c)),x,1],
[cos(d*x+c)/(csc(d*x+c)-sin(d*x+c)),x,1],
[tan(d*x+c)/(csc(d*x+c)-sin(d*x+c)),x,1],
[cot(d*x+c)/(csc(d*x+c)-sin(d*x+c)),x,1],
[sec(d*x+c)/(csc(d*x+c)-sin(d*x+c)),x,1],
[csc(d*x+c)/(csc(d*x+c)-sin(d*x+c)),x,1],
[cos(d*x+c)^3*(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[cos(d*x+c)^2*(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[cos(d*x+c)*(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[a*sin(d*x+c)+b*tan(d*x+c),x,1],
[sec(d*x+c)*(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[sec(d*x+c)^2*(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[sec(d*x+c)^3*(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[cos(d*x+c)^3*(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[cos(d*x+c)^2*(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[cos(d*x+c)*(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[sec(d*x+c)*(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[sec(d*x+c)^2*(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[sec(d*x+c)^3*(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[cos(d*x+c)^3*(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[cos(d*x+c)^2*(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[cos(d*x+c)*(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[sec(d*x+c)*(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[sec(d*x+c)^2*(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[sec(d*x+c)^3*(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[cos(d*x+c)^3/(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[cos(d*x+c)^2/(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[cos(d*x+c)/(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[1/(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[sec(d*x+c)/(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[sec(d*x+c)^2/(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[sec(d*x+c)^3/(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[cos(d*x+c)^3/(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[cos(d*x+c)^2/(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[cos(d*x+c)/(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[1/(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[sec(d*x+c)/(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[sec(d*x+c)^2/(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[sec(d*x+c)^3/(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[cos(d*x+c)^3/(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[cos(d*x+c)^2/(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[cos(d*x+c)/(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[1/(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[sec(d*x+c)/(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[sec(d*x+c)^2/(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[sec(d*x+c)^3/(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[cos(d*x+c)^m*(a*sin(d*x+c)+b*tan(d*x+c))^3,x,1],
[cos(d*x+c)^m*(a*sin(d*x+c)+b*tan(d*x+c))^2,x,1],
[cos(d*x+c)^m*(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[cos(d*x+c)^m/(a*sin(d*x+c)+b*tan(d*x+c)),x,1],
[cos(x)*sin(x)/(a*cos(x)+b*sin(x)),x,1],
[cos(x)*sin(x)^2/(a*cos(x)+b*sin(x)),x,1],
[cos(x)*sin(x)^3/(a*cos(x)+b*sin(x)),x,1],
[cos(x)^2*sin(x)/(a*cos(x)+b*sin(x)),x,1],
[cos(x)^2*sin(x)^2/(a*cos(x)+b*sin(x)),x,1],
[cos(x)^2*sin(x)^3/(a*cos(x)+b*sin(x)),x,1],
[cos(x)^3*sin(x)/(a*cos(x)+b*sin(x)),x,1],
[cos(x)^3*sin(x)^2/(a*cos(x)+b*sin(x)),x,1],
[cos(x)^3*sin(x)^3/(a*cos(x)+b*sin(x)),x,1],
[cos(x)*sin(x)/(a*cos(x)+b*sin(x))^2,x,1],
[cos(x)*sin(x)^2/(a*cos(x)+b*sin(x))^2,x,1],
[cos(x)*sin(x)^3/(a*cos(x)+b*sin(x))^2,x,1],
[cos(x)^2*sin(x)/(a*cos(x)+b*sin(x))^2,x,1],
[cos(x)^2*sin(x)^2/(a*cos(x)+b*sin(x))^2,x,1],
[cos(x)^2*sin(x)^3/(a*cos(x)+b*sin(x))^2,x,1],
[cos(x)^3*sin(x)/(a*cos(x)+b*sin(x))^2,x,1],
[cos(x)^3*sin(x)^2/(a*cos(x)+b*sin(x))^2,x,1],
[cos(x)^3*sin(x)^3/(a*cos(x)+b*sin(x))^2,x,1],
[tan(x)/(b*cos(x)+a*sin(x)),x,1],
[cot(x)/(b*cos(x)+a*sin(x)),x,1]]