lst:=[[(a+b*csch(d*x+c)^2)^4,x,4,a^4*x-(2*a-b)*b*(2*a^2-2*a*b+b^2)*coth(d*x+c)/d-1/3*b^2*(6*a^2-8*a*b+3*b^2)*coth(d*x+c)^3/d-1/5*(4*a-3*b)*b^3*coth(d*x+c)^5/d-1/7*b^4*coth(d*x+c)^7/d,1],
[(a+b*csch(d*x+c)^2)^3,x,4,a^3*x-b*(3*a^2-3*a*b+b^2)*coth(d*x+c)/d-1/3*(3*a-2*b)*b^2*coth(d*x+c)^3/d-1/5*b^3*coth(d*x+c)^5/d,1],
[(a+b*csch(d*x+c)^2)^2,x,4,a^2*x-(2*a-b)*b*coth(d*x+c)/d-1/3*b^2*coth(d*x+c)^3/d,1],
[a+b*csch(d*x+c)^2,x,3,a*x-b*coth(d*x+c)/d,1],
[1/(a+b*csch(d*x+c)^2),x,3,x/a-sqrt(b)*arctan(sqrt(a-b)*tanh(d*x+c)/sqrt(b))/a/sqrt(a-b)/d,1],
[1/(a+b*csch(d*x+c)^2)^2,x,5,x/a^2-1/2*(3*a-2*b)*sqrt(b)*arctan(sqrt(a-b)*tanh(d*x+c)/sqrt(b))/a^2/(a-b)^(3/2)/d+1/2*b*coth(d*x+c)/a/(a-b)/d/(a-b+b*coth(d*x+c)^2),1],
[1/(a+b*csch(d*x+c)^2)^3,x,6,x/a^3-1/8*sqrt(b)*(15*a^2-20*a*b+8*b^2)*arctan(sqrt(a-b)*tanh(d*x+c)/sqrt(b))/a^3/(a-b)^(5/2)/d+1/4*b*coth(d*x+c)/a/(a-b)/d/(a-b+b*coth(d*x+c)^2)^2+1/8*(7*a-4*b)*b*coth(d*x+c)/a^2/(a-b)^2/d/(a-b+b*coth(d*x+c)^2),1],
[1/(a+b*csch(d*x+c)^2)^4,x,7,x/a^4-1/16*sqrt(b)*(35*a^3-70*a^2*b+56*a*b^2-16*b^3)*arctan(sqrt(a-b)*tanh(d*x+c)/sqrt(b))/a^4/(a-b)^(7/2)/d+1/6*b*coth(d*x+c)/a/(a-b)/d/(a-b+b*coth(d*x+c)^2)^3+1/24*(11*a-6*b)*b*coth(d*x+c)/a^2/(a-b)^2/d/(a-b+b*coth(d*x+c)^2)^2+1/16*b*(19*a^2-22*a*b+8*b^2)*coth(d*x+c)/a^3/(a-b)^3/d/(a-b+b*coth(d*x+c)^2),1],
[(a+b*csch(d*x+c)^2)^(5/2),x,8,a^(5/2)*arctanh(sqrt(a)*coth(d*x+c)/sqrt(a-b+b*coth(d*x+c)^2))/d-1/8*sqrt(b)*(15*a^2-10*a*b+3*b^2)*arctanh(sqrt(b)*coth(d*x+c)/sqrt(a-b+b*coth(d*x+c)^2))/d-1/8*(7*a-3*b)*b*coth(d*x+c)*sqrt(a-b+b*coth(d*x+c)^2)/d-1/4*b*coth(d*x+c)*(a-b+b*coth(d*x+c)^2)^(3/2)/d,1],
[(a+b*csch(d*x+c)^2)^(3/2),x,7,a^(3/2)*arctanh(sqrt(a)*coth(d*x+c)/sqrt(a-b+b*coth(d*x+c)^2))/d-1/2*(3*a-b)*sqrt(b)*arctanh(sqrt(b)*coth(d*x+c)/sqrt(a-b+b*coth(d*x+c)^2))/d-1/2*b*coth(d*x+c)*sqrt(a-b+b*coth(d*x+c)^2)/d,1],
[sqrt(a+b*csch(d*x+c)^2),x,6,sqrt(a)*arctanh(sqrt(a)*coth(d*x+c)/sqrt(a-b+b*coth(d*x+c)^2))/d-sqrt(b)*arctanh(sqrt(b)*coth(d*x+c)/sqrt(a-b+b*coth(d*x+c)^2))/d,1],
[1/sqrt(a+b*csch(d*x+c)^2),x,3,arctanh(sqrt(a)*coth(d*x+c)/sqrt(a+b*csch(d*x+c)^2))/sqrt(a)/d,1],
[1/(a+b*csch(d*x+c)^2)^(3/2),x,4,arctanh(sqrt(a)*coth(d*x+c)/sqrt(a-b+b*coth(d*x+c)^2))/a^(3/2)/d+b*coth(d*x+c)/a/(a-b)/d/sqrt(a-b+b*coth(d*x+c)^2),1],
[1/(a+b*csch(d*x+c)^2)^(5/2),x,5,arctanh(sqrt(a)*coth(d*x+c)/sqrt(a-b+b*coth(d*x+c)^2))/a^(5/2)/d+1/3*b*coth(d*x+c)/a/(a-b)/d/(a-b+b*coth(d*x+c)^2)^(3/2)+1/3*(5*a-3*b)*b*coth(d*x+c)/a^2/(a-b)^2/d/sqrt(a-b+b*coth(d*x+c)^2),1],
[1/(a+b*csch(d*x+c)^2)^(7/2),x,6,arctanh(sqrt(a)*coth(d*x+c)/sqrt(a-b+b*coth(d*x+c)^2))/a^(7/2)/d+1/5*b*coth(d*x+c)/a/(a-b)/d/(a-b+b*coth(d*x+c)^2)^(5/2)+1/15*(9*a-5*b)*b*coth(d*x+c)/a^2/(a-b)^2/d/(a-b+b*coth(d*x+c)^2)^(3/2)+1/15*b*(33*a^2-40*a*b+15*b^2)*coth(d*x+c)/a^3/(a-b)^3/d/sqrt(a-b+b*coth(d*x+c)^2),1],
[(1+csch(x)^2)^(3/2),x,4,-1/2*(coth(x)^2)^(3/2)*tanh(x)+sqrt(coth(x)^2)*ln(sinh(x))*tanh(x),1],
[sqrt(1+csch(x)^2),x,3,sqrt(coth(x)^2)*ln(sinh(x))*tanh(x),1],
[1/sqrt(1+csch(x)^2),x,3,coth(x)*ln(cosh(x))/sqrt(coth(x)^2),1],
[(1-csch(x)^2)^(3/2),x,6,2*arcsin(coth(x)/sqrt(2))+arctanh(coth(x)/sqrt(2-coth(x)^2))+1/2*coth(x)*sqrt(2-coth(x)^2),1],
[sqrt(1-csch(x)^2),x,5,arcsin(coth(x)/sqrt(2))+arctanh(coth(x)/sqrt(2-coth(x)^2)),1],
[1/sqrt(1-csch(x)^2),x,3,arctanh(coth(x)/sqrt(2-coth(x)^2)),1],
[(-1+csch(x)^2)^(3/2),x,7,arctan(coth(x)/sqrt(-2+coth(x)^2))+2*arctanh(coth(x)/sqrt(-2+coth(x)^2))-1/2*coth(x)*sqrt(-2+coth(x)^2),1],
[sqrt(-1+csch(x)^2),x,6,-arctan(coth(x)/sqrt(-2+coth(x)^2))-arctanh(coth(x)/sqrt(-2+coth(x)^2)),1],
[1/sqrt(-1+csch(x)^2),x,3,arctan(coth(x)/sqrt(-2+coth(x)^2)),1],
[(-1-csch(x)^2)^(3/2),x,4,1/2*coth(x)*sqrt(-coth(x)^2)-sqrt(-coth(x)^2)*ln(sinh(x))*tanh(x),1],
[sqrt(-1-csch(x)^2),x,3,sqrt(-coth(x)^2)*ln(sinh(x))*tanh(x),1],
[1/sqrt(-1-csch(x)^2),x,3,coth(x)*ln(cosh(x))/sqrt(-coth(x)^2),1]]: