lst:=[[(a+I*a*cot(d*x+c))^n,x,1],
[(e*cot(d*x+c))^(5/2)*(a+a*cot(d*x+c)),x,1],
[(e*cot(d*x+c))^(3/2)*(a+a*cot(d*x+c)),x,1],
[(e*cot(d*x+c))^(1/2)*(a+a*cot(d*x+c)),x,1],
[(a+a*cot(d*x+c))/(e*cot(d*x+c))^(1/2),x,1],
[(a+a*cot(d*x+c))/(e*cot(d*x+c))^(3/2),x,1],
[(a+a*cot(d*x+c))/(e*cot(d*x+c))^(5/2),x,1],
[(e*cot(d*x+c))^(5/2)*(a+a*cot(d*x+c))^2,x,1],
[(e*cot(d*x+c))^(3/2)*(a+a*cot(d*x+c))^2,x,1],
[(e*cot(d*x+c))^(1/2)*(a+a*cot(d*x+c))^2,x,1],
[(a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(1/2),x,1],
[(a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(3/2),x,1],
[(a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(5/2),x,1],
[(a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(7/2),x,1],
[(e*cot(d*x+c))^(5/2)*(a+a*cot(d*x+c))^3,x,1],
[(e*cot(d*x+c))^(3/2)*(a+a*cot(d*x+c))^3,x,1],
[(e*cot(d*x+c))^(1/2)*(a+a*cot(d*x+c))^3,x,1],
[(a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(1/2),x,1],
[(a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(3/2),x,1],
[(a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(5/2),x,1],
[(a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(7/2),x,1],
[(a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(9/2),x,1],
[(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c)),x,1],
[(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c)),x,1],
[(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c)),x,1],
[1/(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c)),x,1],
[1/(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c)),x,1],
[1/(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c)),x,1],
[(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^2,x,1],
[(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^2,x,1],
[(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^2,x,1],
[1/(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^2,x,1],
[1/(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^2,x,1],
[1/(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^2,x,1],
[(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^3,x,1],
[(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^3,x,1],
[(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^3,x,1],
[1/(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^3,x,1],
[1/(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^3,x,1],
[1/(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^3,x,1],
[cot(x)^2*(1+cot(x))^(1/2),x,1],
[cot(x)*(1+cot(x))^(1/2),x,1],
[cot(x)^2*(1+cot(x))^(3/2),x,1],
[cot(x)*(1+cot(x))^(3/2),x,1],
[cot(x)^2/(1+cot(x))^(1/2),x,1],
[cot(x)/(1+cot(x))^(1/2),x,1],
[cot(x)^2/(1+cot(x))^(3/2),x,1],
[cot(x)/(1+cot(x))^(3/2),x,1],
[cot(x)^2/(1+cot(x))^(5/2),x,1],
[cot(x)/(1+cot(x))^(5/2),x,1],
[(e*cot(d*x+c))^(3/2)*(a+b*cot(d*x+c)),x,1],
[(e*cot(d*x+c))^(1/2)*(a+b*cot(d*x+c)),x,1],
[(a+b*cot(d*x+c))/(e*cot(d*x+c))^(1/2),x,1],
[(a+b*cot(d*x+c))/(e*cot(d*x+c))^(3/2),x,1],
[(a+b*cot(d*x+c))/(e*cot(d*x+c))^(5/2),x,1],
[(e*cot(d*x+c))^(3/2)*(a+b*cot(d*x+c))^2,x,1],
[(e*cot(d*x+c))^(1/2)*(a+b*cot(d*x+c))^2,x,1],
[(a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(1/2),x,1],
[(a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(3/2),x,1],
[(a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(5/2),x,1],
[(a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(7/2),x,1],
[(e*cot(d*x+c))^(3/2)*(a+b*cot(d*x+c))^3,x,1],
[(e*cot(d*x+c))^(1/2)*(a+b*cot(d*x+c))^3,x,1],
[(a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(1/2),x,1],
[(a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(3/2),x,1],
[(a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(5/2),x,1],
[(a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(7/2),x,1],
[(a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(9/2),x,1],
[(e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c)),x,1],
[(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c)),x,1],
[(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c)),x,1],
[1/(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c)),x,1],
[1/(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c)),x,1],
[1/(e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c)),x,1],
[(e*cot(d*x+c))^(7/2)/(a+b*cot(d*x+c))^2,x,1],
[(e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c))^2,x,1],
[(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^2,x,1],
[(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^2,x,1],
[1/(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^2,x,1],
[1/(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^2,x,1],
[(e*cot(d*x+c))^(9/2)/(a+b*cot(d*x+c))^3,x,1],
[(e*cot(d*x+c))^(7/2)/(a+b*cot(d*x+c))^3,x,1],
[(e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c))^3,x,1],
[(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^3,x,1],
[(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^3,x,1],
[1/(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^3,x,1],
[1/(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^3,x,1],
[(a+b*cot(d*x+c))^n,x,1],
[(a+b*cot(f*x+e))^m*(d*tan(f*x+e))^n,x,1],
[(1+I*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2),x,1],
[(1-I*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2),x,1],
[(A+B*cot(d*x+c))/(a+b*cot(d*x+c)),x,1],
[(A+B*cot(d*x+c))/(a+b*cot(d*x+c))^2,x,1],
[(A+B*cot(d*x+c))/(a+b*cot(d*x+c))^3,x,1],
[(a+b*cot(d*x+c))^(5/2)*(A+B*cot(d*x+c)),x,1],
[(a+b*cot(d*x+c))^(3/2)*(A+B*cot(d*x+c)),x,1],
[(a+b*cot(d*x+c))^(1/2)*(A+B*cot(d*x+c)),x,1],
[(-a+b*cot(d*x+c))*(a+b*cot(d*x+c))^(5/2),x,1],
[(-a+b*cot(d*x+c))*(a+b*cot(d*x+c))^(3/2),x,1],
[(-a+b*cot(d*x+c))*(a+b*cot(d*x+c))^(1/2),x,1],
[(A+B*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2),x,1],
[(A+B*cot(d*x+c))/(a+b*cot(d*x+c))^(3/2),x,1],
[(A+B*cot(d*x+c))/(a+b*cot(d*x+c))^(5/2),x,1],
[(-a+b*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2),x,1],
[(-a+b*cot(d*x+c))/(a+b*cot(d*x+c))^(3/2),x,1],
[(-a+b*cot(d*x+c))/(a+b*cot(d*x+c))^(5/2),x,1]]