lst:=[[cot(b*x+a),x,1],
[cot(b*x+a)^2,x,1],
[cot(b*x+a)^3,x,1],
[cot(b*x+a)^4,x,1],
[cot(b*x+a)^5,x,1],
[cot(b*x+a)^6,x,1],
[cot(b*x+a)^7,x,1],
[cot(b*x+a)^8,x,1],
[(c*cot(b*x+a))^(7/2),x,1],
[(c*cot(b*x+a))^(5/2),x,1],
[(c*cot(b*x+a))^(3/2),x,1],
[(c*cot(b*x+a))^(1/2),x,1],
[1/(c*cot(b*x+a))^(1/2),x,1],
[1/(c*cot(b*x+a))^(3/2),x,1],
[1/(c*cot(b*x+a))^(5/2),x,1],
[1/(c*cot(b*x+a))^(7/2),x,1],
[(c*cot(b*x+a))^(4/3),x,1],
[(c*cot(b*x+a))^(2/3),x,1],
[(c*cot(b*x+a))^(1/3),x,1],
[1/(c*cot(b*x+a))^(1/3),x,1],
[1/(c*cot(b*x+a))^(2/3),x,1],
[1/(c*cot(b*x+a))^(4/3),x,1],
[cot(b*x+a)^n,x,1],
[(b*cot(d*x+c))^n,x,1],
[(a*cot(x)^2)^(3/2),x,1],
[(a*cot(x)^2)^(1/2),x,1],
[1/(a*cot(x)^2)^(1/2),x,1],
[1/(a*cot(x)^2)^(3/2),x,1],
[(a*cot(x)^3)^(3/2),x,1],
[(a*cot(x)^3)^(1/2),x,1],
[1/(a*cot(x)^3)^(1/2),x,1],
[1/(a*cot(x)^3)^(3/2),x,1],
[(a*cot(x)^4)^(3/2),x,1],
[(a*cot(x)^4)^(1/2),x,1],
[1/(a*cot(x)^4)^(1/2),x,1],
[1/(a*cot(x)^4)^(3/2),x,1],
[(b*cot(d*x+c)^p)^n,x,1],
[(a*(b*cot(d*x+c))^p)^n,x,1],
[(b*cot(f*x+e))^n*(a*sin(f*x+e))^m,x,1],
[(a*cos(f*x+e))^m*(b*cot(f*x+e))^n,x,1],
[(a*cot(f*x+e))^m*(b*cot(f*x+e))^n,x,1],
[(b*cot(f*x+e))^n*(a*sec(f*x+e))^m,x,1],
[(d*cot(f*x+e))^n*csc(f*x+e)^6,x,1],
[(d*cot(f*x+e))^n*csc(f*x+e)^4,x,1],
[(d*cot(f*x+e))^n*csc(f*x+e)^2,x,1],
[(d*cot(f*x+e))^n*sin(f*x+e)^2,x,1],
[(d*cot(f*x+e))^n*sin(f*x+e)^4,x,1],
[(d*cot(f*x+e))^n*csc(f*x+e)^3,x,1],
[(d*cot(f*x+e))^n*csc(f*x+e),x,1],
[(d*cot(f*x+e))^n*sin(f*x+e),x,1],
[(d*cot(f*x+e))^n*sin(f*x+e)^3,x,1],
[(b*cot(f*x+e))^n*(a*csc(f*x+e))^m,x,1]]