lst:=[[x^3*arccoth(b*x+a),x,4,1/4*(6*a^2+1)*x/b^3-1/2*a*(b*x+a)^2/b^4+1/12*(b*x+a)^3/b^4+1/4*x^4*arccoth(b*x+a)+1/8*(1-a)^4*ln(-b*x-a+1)/b^4-1/8*(1+a)^4*ln(b*x+a+1)/b^4,1],
[x^2*arccoth(b*x+a),x,4,-a*x/b^2+1/6*(b*x+a)^2/b^3+1/3*x^3*arccoth(b*x+a)+1/6*(1-a)^3*ln(-b*x-a+1)/b^3+1/6*(1+a)^3*ln(b*x+a+1)/b^3,1],
[x*arccoth(b*x+a),x,4,1/2*x/b+1/2*x^2*arccoth(b*x+a)+1/4*(1-a)^2*ln(-b*x-a+1)/b^2-1/4*(1+a)^2*ln(b*x+a+1)/b^2,1],
[arccoth(b*x+a),x,3,(b*x+a)*arccoth(b*x+a)/b+1/2*ln(1-(b*x+a)^2)/b,1],
[arccoth(b*x+a)/x,x,5,-arccoth(b*x+a)*ln(2/(b*x+a+1))+arccoth(b*x+a)*ln(2*b*x/(1-a)/(b*x+a+1))+1/2*polylog(2,1-2/(b*x+a+1))-1/2*polylog(2,1-2*b*x/(1-a)/(b*x+a+1)),1],
[arccoth(b*x+a)/x^2,x,4,-arccoth(b*x+a)/x+b*ln(x)/(-a^2+1)-b*ln(-b*x-a+1)/(2-2*a)-b*ln(b*x+a+1)/(2+2*a),1],
[arccoth(b*x+a)/x^3,x,4,-1/2*b/(-a^2+1)/x-1/2*arccoth(b*x+a)/x^2+a*b^2*ln(x)/(-a^2+1)^2-1/4*b^2*ln(-b*x-a+1)/(1-a)^2+1/4*b^2*ln(b*x+a+1)/(1+a)^2,1],
[x^3*arccoth(b*x+a)^2,x,19,-a*x/b^3+1/12*(b*x+a)^2/b^4+1/2*(6*a^2+1)*(b*x+a)*arccoth(b*x+a)/b^4-a*(b*x+a)^2*arccoth(b*x+a)/b^4+1/6*(b*x+a)^3*arccoth(b*x+a)/b^4-a*(a^2+1)*arccoth(b*x+a)^2/b^4-1/4*(a^4+6*a^2+1)*arccoth(b*x+a)^2/b^4+1/4*x^4*arccoth(b*x+a)^2+a*arctanh(b*x+a)/b^4+2*a*(a^2+1)*arccoth(b*x+a)*ln(2/(-b*x-a+1))/b^4+1/12*ln(1-(b*x+a)^2)/b^4+1/4*(6*a^2+1)*ln(1-(b*x+a)^2)/b^4+a*(a^2+1)*polylog(2,-(b*x+a+1)/(-b*x-a+1))/b^4,1],
[x^2*arccoth(b*x+a)^2,x,15,1/3*x/b^2-2*a*(b*x+a)*arccoth(b*x+a)/b^3+1/3*(b*x+a)^2*arccoth(b*x+a)/b^3+1/3*a*(a^2+3)*arccoth(b*x+a)^2/b^3+1/3*(3*a^2+1)*arccoth(b*x+a)^2/b^3+1/3*x^3*arccoth(b*x+a)^2-1/3*arctanh(b*x+a)/b^3-2/3*(3*a^2+1)*arccoth(b*x+a)*ln(2/(-b*x-a+1))/b^3-a*ln(1-(b*x+a)^2)/b^3-1/3*(3*a^2+1)*polylog(2,-(b*x+a+1)/(-b*x-a+1))/b^3,1],
[x*arccoth(b*x+a)^2,x,12,(b*x+a)*arccoth(b*x+a)/b^2-a*arccoth(b*x+a)^2/b^2-1/2*(a^2+1)*arccoth(b*x+a)^2/b^2+1/2*x^2*arccoth(b*x+a)^2+2*a*arccoth(b*x+a)*ln(2/(-b*x-a+1))/b^2+1/2*ln(1-(b*x+a)^2)/b^2+a*polylog(2,-(b*x+a+1)/(-b*x-a+1))/b^2,1],
[arccoth(b*x+a)^2,x,6,arccoth(b*x+a)^2/b+(b*x+a)*arccoth(b*x+a)^2/b-2*arccoth(b*x+a)*ln(2/(-b*x-a+1))/b-polylog(2,-(b*x+a+1)/(-b*x-a+1))/b,1],
[arccoth(b*x+a)^2/x,x,2,-arccoth(b*x+a)^2*ln(2/(b*x+a+1))+arccoth(b*x+a)^2*ln(2*b*x/(1-a)/(b*x+a+1))+arccoth(b*x+a)*polylog(2,1-2/(b*x+a+1))-arccoth(b*x+a)*polylog(2,1-2*b*x/(1-a)/(b*x+a+1))+1/2*polylog(3,1-2/(b*x+a+1))-1/2*polylog(3,1-2*b*x/(1-a)/(b*x+a+1)),1],
[arccoth(b*x+a)^2/x^2,x,15,-arccoth(b*x+a)^2/x+b*arccoth(b*x+a)*ln(2/(-b*x-a+1))/(1-a)+b*arccoth(b*x+a)*ln(2/(b*x+a+1))/(1+a)-2*b*arccoth(b*x+a)*ln(2/(b*x+a+1))/(-a^2+1)+2*b*arccoth(b*x+a)*ln(2*b*x/(1-a)/(b*x+a+1))/(-a^2+1)+b*polylog(2,-(b*x+a+1)/(-b*x-a+1))/(2-2*a)-b*polylog(2,1-2/(b*x+a+1))/(2+2*a)+b*polylog(2,1-2/(b*x+a+1))/(-a^2+1)-b*polylog(2,1-2*b*x/(1-a)/(b*x+a+1))/(-a^2+1),1],
[arccoth(b*x+a)^2/x^3,x,18,-b*arccoth(b*x+a)/(-a^2+1)/x-1/2*arccoth(b*x+a)^2/x^2+b^2*ln(x)/(-a^2+1)^2+1/2*b^2*arccoth(b*x+a)*ln(2/(-b*x-a+1))/(1-a)^2-1/2*b^2*ln(-b*x-a+1)/(1-a)^2/(1+a)-1/2*b^2*arccoth(b*x+a)*ln(2/(b*x+a+1))/(1+a)^2-2*a*b^2*arccoth(b*x+a)*ln(2/(b*x+a+1))/(-a^2+1)^2+2*a*b^2*arccoth(b*x+a)*ln(2*b*x/(1-a)/(b*x+a+1))/(-a^2+1)^2-1/2*b^2*ln(b*x+a+1)/(1-a)/(1+a)^2+1/4*b^2*polylog(2,-(b*x+a+1)/(-b*x-a+1))/(1-a)^2+1/4*b^2*polylog(2,1-2/(b*x+a+1))/(1+a)^2+a*b^2*polylog(2,1-2/(b*x+a+1))/(-a^2+1)^2-a*b^2*polylog(2,1-2*b*x/(1-a)/(b*x+a+1))/(-a^2+1)^2,1],
[(b*x+a)*arccoth(b*x+a),x,4,1/2*x+1/2*(b*x+a)^2*arccoth(b*x+a)/b-1/2*arctanh(b*x+a)/b,1],
[(b*x+a)^2*arccoth(b*x+a),x,5,1/6*(b*x+a)^2/b+1/3*(b*x+a)^3*arccoth(b*x+a)/b+1/6*ln(1-(b*x+a)^2)/b,1],
[arccoth(b*x+a)/(b*x+a),x,2,1/2*polylog(2,-1/(b*x+a))/b-1/2*polylog(2,1/(b*x+a))/b,1],
[arccoth(b*x+a)/(b*x+a)^2,x,6,-arccoth(b*x+a)/b/(b*x+a)+ln(b*x+a)/b-1/2*ln(1-(b*x+a)^2)/b,1],
[arccoth(1+x)/(2+2*x),x,3,1/4*polylog(2,-1/(1+x))-1/4*polylog(2,1/(1+x)),1],
[arccoth(b*x+a)/(a*d/b+d*x),x,3,1/2*polylog(2,-1/(b*x+a))/d-1/2*polylog(2,1/(b*x+a))/d,1],
[(f*x+e)^3*(a+b*arccoth(d*x+c)),x,4,1/4*b*f*(6*d^2*e^2-12*c*d*e*f+(6*c^2+1)*f^2)*x/d^3+1/2*b*f^2*(-c*f+d*e)*(d*x+c)^2/d^4+1/12*b*f^3*(d*x+c)^3/d^4+1/4*(f*x+e)^4*(a+b*arccoth(d*x+c))/f+1/8*b*(-c*f+d*e+f)^4*ln(-d*x-c+1)/d^4/f-1/8*b*(-c*f+d*e-f)^4*ln(d*x+c+1)/d^4/f,1],
[(f*x+e)^2*(a+b*arccoth(d*x+c)),x,4,b*f*(-c*f+d*e)*x/d^2+1/6*b*f^2*(d*x+c)^2/d^3+1/3*(f*x+e)^3*(a+b*arccoth(d*x+c))/f+1/6*b*(-c*f+d*e+f)^3*ln(-d*x-c+1)/d^3/f-1/6*b*(d*e-(1+c)*f)^3*ln(d*x+c+1)/d^3/f,1],
[(f*x+e)*(a+b*arccoth(d*x+c)),x,4,1/2*b*f*x/d+1/2*(f*x+e)^2*(a+b*arccoth(d*x+c))/f+1/4*b*(-c*f+d*e+f)^2*ln(-d*x-c+1)/d^2/f-1/4*b*(d*e-(1+c)*f)^2*ln(d*x+c+1)/d^2/f,1],
[a+b*arccoth(d*x+c),x,4,a*x+b*(d*x+c)*arccoth(d*x+c)/d+1/2*b*ln(1-(d*x+c)^2)/d,1],
[(a+b*arccoth(d*x+c))/(f*x+e),x,5,-(a+b*arccoth(d*x+c))*ln(2/(d*x+c+1))/f+(a+b*arccoth(d*x+c))*ln(2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/f+1/2*b*polylog(2,1-2/(d*x+c+1))/f-1/2*b*polylog(2,1-2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/f,1],
[(a+b*arccoth(d*x+c))/(f*x+e)^2,x,3,-(a+b*arccoth(d*x+c))/f/(f*x+e)-1/2*b*d*ln(-d*x-c+1)/f/(-c*f+d*e+f)+1/2*b*d*ln(d*x+c+1)/f/(d*e-(1+c)*f)-b*d*ln(f*x+e)/(-c*f+d*e+f)/(d*e-(1+c)*f),1],
[(a+b*arccoth(d*x+c))/(f*x+e)^3,x,3,1/2*b*d/(-c*f+d*e+f)/(d*e-(1+c)*f)/(f*x+e)-1/2*(a+b*arccoth(d*x+c))/f/(f*x+e)^2-1/4*b*d^2*ln(-d*x-c+1)/f/(-c*f+d*e+f)^2+1/4*b*d^2*ln(d*x+c+1)/f/(-c*f+d*e-f)^2-b*d^2*(-c*f+d*e)*ln(f*x+e)/(-c*f+d*e+f)^2/(d*e-(1+c)*f)^2,1],
[(f*x+e)^2*(a+b*arccoth(d*x+c))^2,x,16,1/3*b^2*f^2*x/d^2+2*a*b*f*(-c*f+d*e)*x/d^2+2*b^2*f*(-c*f+d*e)*(d*x+c)*arccoth(d*x+c)/d^3+1/3*b*f^2*(d*x+c)^2*(a+b*arccoth(d*x+c))/d^3-1/3*(-c*f+d*e)*(d^2*e^2-2*c*d*e*f+(c^2+3)*f^2)*(a+b*arccoth(d*x+c))^2/d^3/f+1/3*(3*d^2*e^2-6*c*d*e*f+(3*c^2+1)*f^2)*(a+b*arccoth(d*x+c))^2/d^3+1/3*(f*x+e)^3*(a+b*arccoth(d*x+c))^2/f-1/3*b^2*f^2*arctanh(d*x+c)/d^3-2/3*b*(3*d^2*e^2-6*c*d*e*f+(3*c^2+1)*f^2)*(a+b*arccoth(d*x+c))*ln(2/(-d*x-c+1))/d^3+b^2*f*(-c*f+d*e)*ln(1-(d*x+c)^2)/d^3-1/3*b^2*(3*d^2*e^2-6*c*d*e*f+(3*c^2+1)*f^2)*polylog(2,-(d*x+c+1)/(-d*x-c+1))/d^3,1],
[(f*x+e)*(a+b*arccoth(d*x+c))^2,x,13,a*b*f*x/d+b^2*f*(d*x+c)*arccoth(d*x+c)/d^2+(-c*f+d*e)*(a+b*arccoth(d*x+c))^2/d^2-1/2*(d^2*e^2-2*c*d*e*f+(c^2+1)*f^2)*(a+b*arccoth(d*x+c))^2/d^2/f+1/2*(f*x+e)^2*(a+b*arccoth(d*x+c))^2/f-2*b*(-c*f+d*e)*(a+b*arccoth(d*x+c))*ln(2/(-d*x-c+1))/d^2+1/2*b^2*f*ln(1-(d*x+c)^2)/d^2-b^2*(-c*f+d*e)*polylog(2,-(d*x+c+1)/(-d*x-c+1))/d^2,1],
[(a+b*arccoth(d*x+c))^2,x,6,(a+b*arccoth(d*x+c))^2/d+(d*x+c)*(a+b*arccoth(d*x+c))^2/d-2*b*(a+b*arccoth(d*x+c))*ln(2/(-d*x-c+1))/d-b^2*polylog(2,-(d*x+c+1)/(-d*x-c+1))/d,1],
[(a+b*arccoth(d*x+c))^2/(f*x+e),x,2,-(a+b*arccoth(d*x+c))^2*ln(2/(d*x+c+1))/f+(a+b*arccoth(d*x+c))^2*ln(2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/f+b*(a+b*arccoth(d*x+c))*polylog(2,1-2/(d*x+c+1))/f-b*(a+b*arccoth(d*x+c))*polylog(2,1-2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/f+1/2*b^2*polylog(3,1-2/(d*x+c+1))/f-1/2*b^2*polylog(3,1-2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/f,1],
[(a+b*arccoth(d*x+c))^2/(f*x+e)^2,x,15,-(a+b*arccoth(d*x+c))^2/f/(f*x+e)+b*d*(a+b*arccoth(d*x+c))*ln(2/(-d*x-c+1))/f/(-c*f+d*e+f)-b*d*(a+b*arccoth(d*x+c))*ln(2/(d*x+c+1))/f/(d*e-(1+c)*f)+2*b*d*(a+b*arccoth(d*x+c))*ln(2/(d*x+c+1))/(-c*f+d*e+f)/(d*e-(1+c)*f)-2*b*d*(a+b*arccoth(d*x+c))*ln(2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/(-c*f+d*e+f)/(d*e-(1+c)*f)+1/2*b^2*d*polylog(2,-(d*x+c+1)/(-d*x-c+1))/f/(-c*f+d*e+f)+1/2*b^2*d*polylog(2,1-2/(d*x+c+1))/f/(d*e-(1+c)*f)-b^2*d*polylog(2,1-2/(d*x+c+1))/(-c*f+d*e+f)/(d*e-(1+c)*f)+b^2*d*polylog(2,1-2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/(-c*f+d*e+f)/(d*e-(1+c)*f),1],
[(f*x+e)^2*(a+b*arccoth(d*x+c))^3,x,21,a*b^2*f^2*x/d^2+b^3*f^2*(d*x+c)*arccoth(d*x+c)/d^3-1/2*b*f^2*(a+b*arccoth(d*x+c))^2/d^3+3*b*f*(-c*f+d*e)*(a+b*arccoth(d*x+c))^2/d^3+3*b*f*(-c*f+d*e)*(d*x+c)*(a+b*arccoth(d*x+c))^2/d^3+1/2*b*f^2*(d*x+c)^2*(a+b*arccoth(d*x+c))^2/d^3-1/3*(-c*f+d*e)*(d^2*e^2-2*c*d*e*f+(c^2+3)*f^2)*(a+b*arccoth(d*x+c))^3/d^3/f+1/3*(3*d^2*e^2-6*c*d*e*f+(3*c^2+1)*f^2)*(a+b*arccoth(d*x+c))^3/d^3+1/3*(f*x+e)^3*(a+b*arccoth(d*x+c))^3/f-6*b^2*f*(-c*f+d*e)*(a+b*arccoth(d*x+c))*ln(2/(-d*x-c+1))/d^3-b*(3*d^2*e^2-6*c*d*e*f+(3*c^2+1)*f^2)*(a+b*arccoth(d*x+c))^2*ln(2/(-d*x-c+1))/d^3+1/2*b^3*f^2*ln(1-(d*x+c)^2)/d^3-3*b^3*f*(-c*f+d*e)*polylog(2,-(d*x+c+1)/(-d*x-c+1))/d^3-b^2*(3*d^2*e^2-6*c*d*e*f+(3*c^2+1)*f^2)*(a+b*arccoth(d*x+c))*polylog(2,1-2/(-d*x-c+1))/d^3+1/2*b^3*(3*d^2*e^2-6*c*d*e*f+(3*c^2+1)*f^2)*polylog(3,1-2/(-d*x-c+1))/d^3,1],
[(f*x+e)*(a+b*arccoth(d*x+c))^3,x,15,3/2*b*f*(a+b*arccoth(d*x+c))^2/d^2+3/2*b*f*(d*x+c)*(a+b*arccoth(d*x+c))^2/d^2+(-c*f+d*e)*(a+b*arccoth(d*x+c))^3/d^2-1/2*(d^2*e^2-2*c*d*e*f+(c^2+1)*f^2)*(a+b*arccoth(d*x+c))^3/d^2/f+1/2*(f*x+e)^2*(a+b*arccoth(d*x+c))^3/f-3*b^2*f*(a+b*arccoth(d*x+c))*ln(2/(-d*x-c+1))/d^2-3*b*(-c*f+d*e)*(a+b*arccoth(d*x+c))^2*ln(2/(-d*x-c+1))/d^2-3/2*b^3*f*polylog(2,-(d*x+c+1)/(-d*x-c+1))/d^2-3*b^2*(-c*f+d*e)*(a+b*arccoth(d*x+c))*polylog(2,1-2/(-d*x-c+1))/d^2+3/2*b^3*(-c*f+d*e)*polylog(3,1-2/(-d*x-c+1))/d^2,1],
[(a+b*arccoth(d*x+c))^3,x,6,(a+b*arccoth(d*x+c))^3/d+(d*x+c)*(a+b*arccoth(d*x+c))^3/d-3*b*(a+b*arccoth(d*x+c))^2*ln(2/(-d*x-c+1))/d-3*b^2*(a+b*arccoth(d*x+c))*polylog(2,1-2/(-d*x-c+1))/d+3/2*b^3*polylog(3,1-2/(-d*x-c+1))/d,1],
[(a+b*arccoth(d*x+c))^3/(f*x+e),x,2,-(a+b*arccoth(d*x+c))^3*ln(2/(d*x+c+1))/f+(a+b*arccoth(d*x+c))^3*ln(2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/f+3/2*b*(a+b*arccoth(d*x+c))^2*polylog(2,1-2/(d*x+c+1))/f-3/2*b*(a+b*arccoth(d*x+c))^2*polylog(2,1-2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/f+3/2*b^2*(a+b*arccoth(d*x+c))*polylog(3,1-2/(d*x+c+1))/f-3/2*b^2*(a+b*arccoth(d*x+c))*polylog(3,1-2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/f+3/4*b^3*polylog(4,1-2/(d*x+c+1))/f-3/4*b^3*polylog(4,1-2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/f,1],
[(a+b*arccoth(d*x+c))^3/(f*x+e)^2,x,12,-(a+b*arccoth(d*x+c))^3/f/(f*x+e)+3/2*b*d*(a+b*arccoth(d*x+c))^2*ln(2/(-d*x-c+1))/f/(-c*f+d*e+f)-3/2*b*d*(a+b*arccoth(d*x+c))^2*ln(2/(d*x+c+1))/f/(d*e-(1+c)*f)+3*b*d*(a+b*arccoth(d*x+c))^2*ln(2/(d*x+c+1))/(-c*f+d*e+f)/(d*e-(1+c)*f)-3*b*d*(a+b*arccoth(d*x+c))^2*ln(2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/(-c*f+d*e+f)/(d*e-(1+c)*f)+3/2*b^2*d*(a+b*arccoth(d*x+c))*polylog(2,1-2/(-d*x-c+1))/f/(-c*f+d*e+f)+3/2*b^2*d*(a+b*arccoth(d*x+c))*polylog(2,1-2/(d*x+c+1))/f/(d*e-(1+c)*f)-3*b^2*d*(a+b*arccoth(d*x+c))*polylog(2,1-2/(d*x+c+1))/(-c*f+d*e+f)/(d*e-(1+c)*f)+3*b^2*d*(a+b*arccoth(d*x+c))*polylog(2,1-2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/(-c*f+d*e+f)/(d*e-(1+c)*f)-3/4*b^3*d*polylog(3,1-2/(-d*x-c+1))/f/(-c*f+d*e+f)+3/4*b^3*d*polylog(3,1-2/(d*x+c+1))/f/(d*e-(1+c)*f)-3/2*b^3*d*polylog(3,1-2/(d*x+c+1))/(-c*f+d*e+f)/(d*e-(1+c)*f)+3/2*b^3*d*polylog(3,1-2*d*(f*x+e)/(-c*f+d*e+f)/(d*x+c+1))/(-c*f+d*e+f)/(d*e-(1+c)*f),1],
[(f*x+e)^m*(a+b*arccoth(d*x+c)),x,6,(f*x+e)^(1+m)*(a+b*arccoth(d*x+c))/f/(1+m)+1/2*b*d*(f*x+e)^(2+m)*hypergeom([1, 2+m],[3+m],d*(f*x+e)/(-c*f+d*e-f))/f/(d*e-(1+c)*f)/(1+m)/(2+m)-1/2*b*d*(f*x+e)^(2+m)*hypergeom([1, 2+m],[3+m],d*(f*x+e)/(-c*f+d*e+f))/f/(-c*f+d*e+f)/(1+m)/(2+m),1],
[(f*x+e)^m*(a+b*arccoth(d*x+c))^2,x,1,Defer(Int)((f*x+e)^m*(a+b*arccoth(d*x+c))^2,x),0],
[(f*x+e)^m*(a+b*arccoth(d*x+c))^3,x,1,Defer(Int)((f*x+e)^m*(a+b*arccoth(d*x+c))^3,x),0],
[arccoth(b*x+a)/(d*x^3+c),x,17,-1/3*arccoth(b*x+a)*ln(2/(b*x+a+1))/c^(2/3)/d^(1/3)+1/3*(-1)^(1/3)*arccoth(b*x+a)*ln(2/(b*x+a+1))/c^(2/3)/d^(1/3)-1/3*(-1)^(2/3)*arccoth(b*x+a)*ln(2/(b*x+a+1))/c^(2/3)/d^(1/3)+1/3*arccoth(b*x+a)*ln(2*b*(c^(1/3)+d^(1/3)*x)/(b*c^(1/3)+(1-a)*d^(1/3))/(b*x+a+1))/c^(2/3)/d^(1/3)+1/3*(-1)^(2/3)*arccoth(b*x+a)*ln(2*b*(c^(1/3)-(-1)^(1/3)*d^(1/3)*x)/(b*c^(1/3)-(-1)^(1/3)*(1-a)*d^(1/3))/(b*x+a+1))/c^(2/3)/d^(1/3)-1/3*(-1)^(1/3)*arccoth(b*x+a)*ln(2*b*(c^(1/3)+(-1)^(2/3)*d^(1/3)*x)/(b*c^(1/3)+(-1)^(2/3)*(1-a)*d^(1/3))/(b*x+a+1))/c^(2/3)/d^(1/3)+1/6*polylog(2,1-2/(b*x+a+1))/c^(2/3)/d^(1/3)-1/6*(-1)^(1/3)*polylog(2,1-2/(b*x+a+1))/c^(2/3)/d^(1/3)+1/6*(-1)^(2/3)*polylog(2,1-2/(b*x+a+1))/c^(2/3)/d^(1/3)-1/6*polylog(2,1-2*b*(c^(1/3)+d^(1/3)*x)/(b*c^(1/3)+(1-a)*d^(1/3))/(b*x+a+1))/c^(2/3)/d^(1/3)-1/6*(-1)^(2/3)*polylog(2,1-2*b*(c^(1/3)-(-1)^(1/3)*d^(1/3)*x)/(b*c^(1/3)-(-1)^(1/3)*(1-a)*d^(1/3))/(b*x+a+1))/c^(2/3)/d^(1/3)+1/6*(-1)^(1/3)*polylog(2,1-2*b*(c^(1/3)+(-1)^(2/3)*d^(1/3)*x)/(b*c^(1/3)+(-1)^(2/3)*(1-a)*d^(1/3))/(b*x+a+1))/c^(2/3)/d^(1/3),1],
[arccoth(b*x+a)/(d*x^2+c),x,12,1/2*arccoth(b*x+a)*ln(2*b*(sqrt(-c)-sqrt(d)*x)/(b*sqrt(-c)-(1-a)*sqrt(d))/(b*x+a+1))/sqrt(-c)/sqrt(d)-1/2*arccoth(b*x+a)*ln(2*b*(sqrt(-c)+sqrt(d)*x)/(b*sqrt(-c)+(1-a)*sqrt(d))/(b*x+a+1))/sqrt(-c)/sqrt(d)-1/4*polylog(2,1-2*b*(sqrt(-c)-sqrt(d)*x)/(b*sqrt(-c)-(1-a)*sqrt(d))/(b*x+a+1))/sqrt(-c)/sqrt(d)+1/4*polylog(2,1-2*b*(sqrt(-c)+sqrt(d)*x)/(b*sqrt(-c)+(1-a)*sqrt(d))/(b*x+a+1))/sqrt(-c)/sqrt(d),1],
[arccoth(b*x+a)/(d*x+c),x,5,-arccoth(b*x+a)*ln(2/(b*x+a+1))/d+arccoth(b*x+a)*ln(2*b*(d*x+c)/(-a*d+b*c+d)/(b*x+a+1))/d+1/2*polylog(2,1-2/(b*x+a+1))/d-1/2*polylog(2,1-2*b*(d*x+c)/(-a*d+b*c+d)/(b*x+a+1))/d,1],
[arccoth(b*x+a)/(c+d/x),x,37,1/2*(-b*x-a+1)*ln(-(-b*x-a+1)/(b*x+a))/b/c+1/2*ln(b*x+a)/b/c+1/2*ln(b*x+a+1)/b/c+1/2*(b*x+a)*ln((b*x+a+1)/(b*x+a))/b/c-1/2*d*ln(c*(-b*x-a+1)/(-a*c+b*d+c))*ln(c*x+d)/c^2+1/2*d*ln(-(-b*x-a+1)/(b*x+a))*ln(c*x+d)/c^2+1/2*d*ln(c*(b*x+a+1)/(a*c-b*d+c))*ln(c*x+d)/c^2-1/2*d*ln((b*x+a+1)/(b*x+a))*ln(c*x+d)/c^2+1/2*d*polylog(2,-b*(c*x+d)/(a*c-b*d+c))/c^2-1/2*d*polylog(2,b*(c*x+d)/(-a*c+b*d+c))/c^2,1],
[arccoth(b*x+a)/(c+d/x^2),x,57,1/2*(-b*x-a+1)*ln(b*x+a-1)/b/c+1/2*x*(ln(b*x+a-1)-ln(-(-b*x-a+1)/(b*x+a))-ln(b*x+a))/c-1/2*sqrt(d)*arctan(sqrt(c)*x/sqrt(d))*(ln(b*x+a-1)-ln(-(-b*x-a+1)/(b*x+a))-ln(b*x+a))/c^(3/2)+1/2*(b*x+a+1)*ln(b*x+a+1)/b/c+1/2*x*(ln(b*x+a)-ln(b*x+a+1)+ln((b*x+a+1)/(b*x+a)))/c-1/2*sqrt(d)*arctan(sqrt(c)*x/sqrt(d))*(ln(b*x+a)-ln(b*x+a+1)+ln((b*x+a+1)/(b*x+a)))/c^(3/2)+1/4*sqrt(d)*ln(b*x+a-1)*ln(-b*(sqrt(d)-sqrt(-c)*x)/((1-a)*sqrt(-c)-b*sqrt(d)))/(-c)^(3/2)-1/4*sqrt(d)*ln(b*x+a+1)*ln(b*(sqrt(d)-sqrt(-c)*x)/((1+a)*sqrt(-c)+b*sqrt(d)))/(-c)^(3/2)+1/4*sqrt(d)*ln(b*x+a+1)*ln(-b*(sqrt(d)+sqrt(-c)*x)/((1+a)*sqrt(-c)-b*sqrt(d)))/(-c)^(3/2)-1/4*sqrt(d)*ln(b*x+a-1)*ln(b*(sqrt(d)+sqrt(-c)*x)/((1-a)*sqrt(-c)+b*sqrt(d)))/(-c)^(3/2)+1/4*sqrt(d)*polylog(2,sqrt(-c)*(-b*x-a+1)/(sqrt(-c)-a*sqrt(-c)-b*sqrt(d)))/(-c)^(3/2)-1/4*sqrt(d)*polylog(2,sqrt(-c)*(-b*x-a+1)/((1-a)*sqrt(-c)+b*sqrt(d)))/(-c)^(3/2)+1/4*sqrt(d)*polylog(2,sqrt(-c)*(b*x+a+1)/((1+a)*sqrt(-c)-b*sqrt(d)))/(-c)^(3/2)-1/4*sqrt(d)*polylog(2,sqrt(-c)*(b*x+a+1)/((1+a)*sqrt(-c)+b*sqrt(d)))/(-c)^(3/2),1],
[arccoth(b*x+a)/(c+d*sqrt(x)),x,55,2*sqrt(1+a)*arctan(sqrt(b)*sqrt(x)/sqrt(1+a))/sqrt(b)/d-2*sqrt(1-a)*arctanh(sqrt(b)*sqrt(x)/sqrt(1-a))/sqrt(b)/d+c*ln(d*(sqrt(-1-a)-sqrt(b)*sqrt(x))/(sqrt(b)*c+sqrt(-1-a)*d))*ln(c+d*sqrt(x))/d^2-c*ln(d*(sqrt(1-a)-sqrt(b)*sqrt(x))/(sqrt(b)*c+sqrt(1-a)*d))*ln(c+d*sqrt(x))/d^2+c*ln(-d*(sqrt(-1-a)+sqrt(b)*sqrt(x))/(sqrt(b)*c-sqrt(-1-a)*d))*ln(c+d*sqrt(x))/d^2-c*ln(-d*(sqrt(1-a)+sqrt(b)*sqrt(x))/(sqrt(b)*c-sqrt(1-a)*d))*ln(c+d*sqrt(x))/d^2-sqrt(x)*ln(-(-b*x-a+1)/(b*x+a))/d+c*ln(c+d*sqrt(x))*ln(-(-b*x-a+1)/(b*x+a))/d^2+sqrt(x)*ln((b*x+a+1)/(b*x+a))/d-c*ln(c+d*sqrt(x))*ln((b*x+a+1)/(b*x+a))/d^2+c*polylog(2,sqrt(b)*(c+d*sqrt(x))/(sqrt(b)*c-sqrt(-1-a)*d))/d^2+c*polylog(2,sqrt(b)*(c+d*sqrt(x))/(sqrt(b)*c+sqrt(-1-a)*d))/d^2-c*polylog(2,sqrt(b)*(c+d*sqrt(x))/(sqrt(b)*c-sqrt(1-a)*d))/d^2-c*polylog(2,sqrt(b)*(c+d*sqrt(x))/(sqrt(b)*c+sqrt(1-a)*d))/d^2,1],
[arccoth(b*x+a)/(c+d/sqrt(x)),x,61,-2*sqrt(1+a)*d*arctan(sqrt(b)*sqrt(x)/sqrt(1+a))/sqrt(b)/c^2+2*sqrt(1-a)*d*arctanh(sqrt(b)*sqrt(x)/sqrt(1-a))/sqrt(b)/c^2-d^2*ln(c*(sqrt(-1-a)-sqrt(b)*sqrt(x))/(sqrt(-1-a)*c+sqrt(b)*d))*ln(d+c*sqrt(x))/c^3+d^2*ln(c*(sqrt(1-a)-sqrt(b)*sqrt(x))/(sqrt(1-a)*c+sqrt(b)*d))*ln(d+c*sqrt(x))/c^3-d^2*ln(c*(sqrt(-1-a)+sqrt(b)*sqrt(x))/(sqrt(-1-a)*c-sqrt(b)*d))*ln(d+c*sqrt(x))/c^3+d^2*ln(c*(sqrt(1-a)+sqrt(b)*sqrt(x))/(sqrt(1-a)*c-sqrt(b)*d))*ln(d+c*sqrt(x))/c^3+d*sqrt(x)*ln(-(-b*x-a+1)/(b*x+a))/c^2+1/2*(-b*x-a+1)*ln(-(-b*x-a+1)/(b*x+a))/b/c-d^2*ln(d+c*sqrt(x))*ln(-(-b*x-a+1)/(b*x+a))/c^3+ln(b*x+a)/b/c-d*sqrt(x)*ln((b*x+a+1)/(b*x+a))/c^2+1/2*(b*x+a+1)*ln((b*x+a+1)/(b*x+a))/b/c+d^2*ln(d+c*sqrt(x))*ln((b*x+a+1)/(b*x+a))/c^3-d^2*polylog(2,-sqrt(b)*(d+c*sqrt(x))/(sqrt(-1-a)*c-sqrt(b)*d))/c^3+d^2*polylog(2,-sqrt(b)*(d+c*sqrt(x))/(sqrt(1-a)*c-sqrt(b)*d))/c^3-d^2*polylog(2,sqrt(b)*(d+c*sqrt(x))/(sqrt(-1-a)*c+sqrt(b)*d))/c^3+d^2*polylog(2,sqrt(b)*(d+c*sqrt(x))/(sqrt(1-a)*c+sqrt(b)*d))/c^3,1],
[(a+b*arccoth(d*x+c))/(e+f*sqrt(x)),x,57,2*a*sqrt(x)/f+2*b*sqrt(1+c)*arctan(sqrt(d)*sqrt(x)/sqrt(1+c))/sqrt(d)/f-2*b*sqrt(1-c)*arctanh(sqrt(d)*sqrt(x)/sqrt(1-c))/sqrt(d)/f+b*e*ln(f*(sqrt(-1-c)-sqrt(d)*sqrt(x))/(sqrt(d)*e+sqrt(-1-c)*f))*ln(e+f*sqrt(x))/f^2-b*e*ln(f*(sqrt(1-c)-sqrt(d)*sqrt(x))/(sqrt(d)*e+sqrt(1-c)*f))*ln(e+f*sqrt(x))/f^2+b*e*ln(-f*(sqrt(-1-c)+sqrt(d)*sqrt(x))/(sqrt(d)*e-sqrt(-1-c)*f))*ln(e+f*sqrt(x))/f^2-b*e*ln(-f*(sqrt(1-c)+sqrt(d)*sqrt(x))/(sqrt(d)*e-sqrt(1-c)*f))*ln(e+f*sqrt(x))/f^2-b*sqrt(x)*ln(-(-d*x-c+1)/(d*x+c))/f-e*ln(e+f*sqrt(x))*(a-b*ln(-(-d*x-c+1)/(d*x+c)))/f^2+b*sqrt(x)*ln((d*x+c+1)/(d*x+c))/f-e*ln(e+f*sqrt(x))*(a+b*ln((d*x+c+1)/(d*x+c)))/f^2+b*e*polylog(2,sqrt(d)*(e+f*sqrt(x))/(sqrt(d)*e-sqrt(-1-c)*f))/f^2+b*e*polylog(2,sqrt(d)*(e+f*sqrt(x))/(sqrt(d)*e+sqrt(-1-c)*f))/f^2-b*e*polylog(2,sqrt(d)*(e+f*sqrt(x))/(sqrt(d)*e-sqrt(1-c)*f))/f^2-b*e*polylog(2,sqrt(d)*(e+f*sqrt(x))/(sqrt(d)*e+sqrt(1-c)*f))/f^2,1],
[(a+b*arccoth(d*x+c))/(g*x^2+f*x+e),x,11,(a+b*arccoth(d*x+c))*ln((-4*c*g+2*d*(f-sqrt(-4*e*g+f^2))+4*g*(d*x+c))/(d*f+2*g-2*c*g-d*sqrt(-4*e*g+f^2))/(d*x+c+1))/sqrt(-4*e*g+f^2)-(a+b*arccoth(d*x+c))*ln((-4*c*g+2*d*(f+sqrt(-4*e*g+f^2))+4*g*(d*x+c))/(2*(1-c)*g+d*(f+sqrt(-4*e*g+f^2)))/(d*x+c+1))/sqrt(-4*e*g+f^2)-1/2*b*polylog(2,1+2*(2*c*g-d*(f-sqrt(-4*e*g+f^2))-2*g*(d*x+c))/(d*f+2*g-2*c*g-d*sqrt(-4*e*g+f^2))/(d*x+c+1))/sqrt(-4*e*g+f^2)+1/2*b*polylog(2,1+2*(2*c*g-d*(f+sqrt(-4*e*g+f^2))-2*g*(d*x+c))/(2*(1-c)*g+d*(f+sqrt(-4*e*g+f^2)))/(d*x+c+1))/sqrt(-4*e*g+f^2),1],
[(a+b*arccoth(d*x+c))/(g*x^4+f*x^2+e),x,25,-sqrt(g)*(a+b*arccoth(d*x+c))*ln(-2*d*(sqrt(-f-sqrt(-4*e*g+f^2))-sqrt(2)*sqrt(g)*x)/(sqrt(2)*(1-c)*sqrt(g)-d*sqrt(-f-sqrt(-4*e*g+f^2)))/(d*x+c+1))/sqrt(2)/sqrt(-4*e*g+f^2)/sqrt(-f-sqrt(-4*e*g+f^2))+sqrt(g)*(a+b*arccoth(d*x+c))*ln(-2*d*(sqrt(-f+sqrt(-4*e*g+f^2))-sqrt(2)*sqrt(g)*x)/(sqrt(2)*(1-c)*sqrt(g)-d*sqrt(-f+sqrt(-4*e*g+f^2)))/(d*x+c+1))/sqrt(2)/sqrt(-4*e*g+f^2)/sqrt(-f+sqrt(-4*e*g+f^2))+sqrt(g)*(a+b*arccoth(d*x+c))*ln(2*d*(sqrt(-f-sqrt(-4*e*g+f^2))+sqrt(2)*sqrt(g)*x)/(sqrt(2)*(1-c)*sqrt(g)+d*sqrt(-f-sqrt(-4*e*g+f^2)))/(d*x+c+1))/sqrt(2)/sqrt(-4*e*g+f^2)/sqrt(-f-sqrt(-4*e*g+f^2))-sqrt(g)*(a+b*arccoth(d*x+c))*ln(2*d*(sqrt(-f+sqrt(-4*e*g+f^2))+sqrt(2)*sqrt(g)*x)/(sqrt(2)*(1-c)*sqrt(g)+d*sqrt(-f+sqrt(-4*e*g+f^2)))/(d*x+c+1))/sqrt(2)/sqrt(-4*e*g+f^2)/sqrt(-f+sqrt(-4*e*g+f^2))+1/2*b*sqrt(g)*polylog(2,1+2*d*(sqrt(-f-sqrt(-4*e*g+f^2))-sqrt(2)*sqrt(g)*x)/(sqrt(2)*(1-c)*sqrt(g)-d*sqrt(-f-sqrt(-4*e*g+f^2)))/(d*x+c+1))/sqrt(2)/sqrt(-4*e*g+f^2)/sqrt(-f-sqrt(-4*e*g+f^2))-1/2*b*sqrt(g)*polylog(2,1+2*d*(sqrt(-f+sqrt(-4*e*g+f^2))-sqrt(2)*sqrt(g)*x)/(sqrt(2)*(1-c)*sqrt(g)-d*sqrt(-f+sqrt(-4*e*g+f^2)))/(d*x+c+1))/sqrt(2)/sqrt(-4*e*g+f^2)/sqrt(-f+sqrt(-4*e*g+f^2))-1/2*b*sqrt(g)*polylog(2,1-2*d*(sqrt(-f-sqrt(-4*e*g+f^2))+sqrt(2)*sqrt(g)*x)/(sqrt(2)*(1-c)*sqrt(g)+d*sqrt(-f-sqrt(-4*e*g+f^2)))/(d*x+c+1))/sqrt(2)/sqrt(-4*e*g+f^2)/sqrt(-f-sqrt(-4*e*g+f^2))+1/2*b*sqrt(g)*polylog(2,1-2*d*(sqrt(-f+sqrt(-4*e*g+f^2))+sqrt(2)*sqrt(g)*x)/(sqrt(2)*(1-c)*sqrt(g)+d*sqrt(-f+sqrt(-4*e*g+f^2)))/(d*x+c+1))/sqrt(2)/sqrt(-4*e*g+f^2)/sqrt(-f+sqrt(-4*e*g+f^2)),1]]: