lst:=[[x^6*(a+b*arccsch(c*x)),x,7,5/112*b*sqrt(1+1/c^2/x^2)*x^2/c^5-5/168*b*sqrt(1+1/c^2/x^2)*x^4/c^3+1/42*b*sqrt(1+1/c^2/x^2)*x^6/c+1/7*x^7*(a+b*arccsch(c*x))-5/112*b*arctanh(sqrt(1+1/c^2/x^2))/c^7,1],
[x^5*(a+b*arccsch(c*x)),x,4,4/45*b*sqrt(1+1/c^2/x^2)*x/c^5-2/45*b*sqrt(1+1/c^2/x^2)*x^3/c^3+1/30*b*sqrt(1+1/c^2/x^2)*x^5/c+1/6*x^6*(a+b*arccsch(c*x)),1],
[x^4*(a+b*arccsch(c*x)),x,6,-3/40*b*sqrt(1+1/c^2/x^2)*x^2/c^3+1/20*b*sqrt(1+1/c^2/x^2)*x^4/c+1/5*x^5*(a+b*arccsch(c*x))+3/40*b*arctanh(sqrt(1+1/c^2/x^2))/c^5,1],
[x^3*(a+b*arccsch(c*x)),x,3,-1/6*b*sqrt(1+1/c^2/x^2)*x/c^3+1/12*b*sqrt(1+1/c^2/x^2)*x^3/c+1/4*x^4*(a+b*arccsch(c*x)),1],
[x^2*(a+b*arccsch(c*x)),x,6,1/6*b*sqrt(1+1/c^2/x^2)*x^2/c+1/3*x^3*(a+b*arccsch(c*x))-1/6*b*arctanh(sqrt(1+1/c^2/x^2))/c^3,1],
[x*(a+b*arccsch(c*x)),x,2,1/2*b*sqrt(1+1/c^2/x^2)*x/c+1/2*x^2*(a+b*arccsch(c*x)),1],
[a+b*arccsch(c*x),x,5,a*x+b*x*arccsch(c*x)+b*arctanh(sqrt(1+1/c^2/x^2))/c,1],
[(a+b*arccsch(c*x))/x,x,4,1/2*(a+b*arccsch(c*x))^2/b-(a+b*arccsch(c*x))*ln(1-exp(2*arccsch(c*x)))-1/2*b*polylog(2,exp(2*arccsch(c*x))),1],
[(a+b*arccsch(c*x))/x^2,x,2,b*c*sqrt(1+1/c^2/x^2)-(a+b*arccsch(c*x))/x,1],
[(a+b*arccsch(c*x))/x^3,x,4,1/4*b*c*sqrt(1+1/c^2/x^2)/x-1/4*b*c^2*arccsch(c*x)-1/2*(a+b*arccsch(c*x))/x^2,1],
[(a+b*arccsch(c*x))/x^4,x,4,-1/3*b*c^3*sqrt(1+1/c^2/x^2)+1/9*b*c^3*(1+1/c^2/x^2)^(3/2)-1/3*(a+b*arccsch(c*x))/x^3,1],
[(a+b*arccsch(c*x))/x^5,x,5,1/16*b*c*sqrt(1+1/c^2/x^2)/x^3-3/32*b*c^3*sqrt(1+1/c^2/x^2)/x+3/32*b*c^4*arccsch(c*x)-1/4*(a+b*arccsch(c*x))/x^4,1],
[(a+b*arccsch(c*x))/x^6,x,4,1/5*b*c^5*sqrt(1+1/c^2/x^2)-2/15*b*c^5*(1+1/c^2/x^2)^(3/2)+1/25*b*c^5*(1+1/c^2/x^2)^(5/2)-1/5*(a+b*arccsch(c*x))/x^5,1],
[(a+b*arccsch(c*x))/x^7,x,6,1/36*b*c*sqrt(1+1/c^2/x^2)/x^5-5/144*b*c^3*sqrt(1+1/c^2/x^2)/x^3+5/96*b*c^5*sqrt(1+1/c^2/x^2)/x-5/96*b*c^6*arccsch(c*x)-1/6*(a+b*arccsch(c*x))/x^6,1],
[x^3*(a+b*arccsch(c*x))^2,x,5,1/12*b^2*x^2/c^2-1/3*b*sqrt(1+1/c^2/x^2)*x*(a+b*arccsch(c*x))/c^3+1/6*b*sqrt(1+1/c^2/x^2)*x^3*(a+b*arccsch(c*x))/c+1/4*x^4*(a+b*arccsch(c*x))^2-1/3*b^2*ln(x)/c^4,1],
[x^2*(a+b*arccsch(c*x))^2,x,8,1/3*b^2*x/c^2+1/3*b*sqrt(1+1/c^2/x^2)*x^2*(a+b*arccsch(c*x))/c+1/3*x^3*(a+b*arccsch(c*x))^2-2/3*b*(a+b*arccsch(c*x))*arctanh(exp(arccsch(c*x)))/c^3-1/3*b^2*polylog(2,-exp(arccsch(c*x)))/c^3+1/3*b^2*polylog(2,exp(arccsch(c*x)))/c^3,1],
[x*(a+b*arccsch(c*x))^2,x,4,b*sqrt(1+1/c^2/x^2)*x*(a+b*arccsch(c*x))/c+1/2*x^2*(a+b*arccsch(c*x))^2+b^2*ln(x)/c^2,1],
[(a+b*arccsch(c*x))^2,x,7,x*(a+b*arccsch(c*x))^2+4*b*(a+b*arccsch(c*x))*arctanh(exp(arccsch(c*x)))/c+2*b^2*polylog(2,-exp(arccsch(c*x)))/c-2*b^2*polylog(2,exp(arccsch(c*x)))/c,1],
[(a+b*arccsch(c*x))^2/x,x,6,1/3*(a+b*arccsch(c*x))^3/b-(a+b*arccsch(c*x))^2*ln(1-exp(2*arccsch(c*x)))-b*(a+b*arccsch(c*x))*polylog(2,exp(2*arccsch(c*x)))+1/2*b^2*polylog(3,exp(2*arccsch(c*x))),1],
[(a+b*arccsch(c*x))^2/x^2,x,4,-2*b^2/x+2*b*c*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))-(a+b*arccsch(c*x))^2/x,1],
[(a+b*arccsch(c*x))^2/x^3,x,4,-1/4*b^2/x^2+1/2*b*c*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))/x-1/4*c^2*(a+b*arccsch(c*x))^2-1/2*(a+b*arccsch(c*x))^2/x^2,1],
[(a+b*arccsch(c*x))^2/x^4,x,5,-2/27*b^2/x^3+4/9*b^2*c^2/x-4/9*b*c^3*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))+2/9*b*c*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))/x^2-1/3*(a+b*arccsch(c*x))^2/x^3,1],
[(a+b*arccsch(c*x))^2/x^5,x,5,-1/32*b^2/x^4+3/32*b^2*c^2/x^2+1/8*b*c*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))/x^3-3/16*b*c^3*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))/x+3/32*c^4*(a+b*arccsch(c*x))^2-1/4*(a+b*arccsch(c*x))^2/x^4,1],
[x^3*(a+b*arccsch(c*x))^3,x,10,1/4*b^3*sqrt(1+1/c^2/x^2)*x/c^3+1/4*b^2*x^2*(a+b*arccsch(c*x))/c^2-1/2*b*(a+b*arccsch(c*x))^2/c^4-1/2*b*sqrt(1+1/c^2/x^2)*x*(a+b*arccsch(c*x))^2/c^3+1/4*b*sqrt(1+1/c^2/x^2)*x^3*(a+b*arccsch(c*x))^2/c+1/4*x^4*(a+b*arccsch(c*x))^3+b^2*(a+b*arccsch(c*x))*ln(1-exp(2*arccsch(c*x)))/c^4+1/2*b^3*polylog(2,exp(2*arccsch(c*x)))/c^4,1],
[x^2*(a+b*arccsch(c*x))^3,x,11,b^2*x*(a+b*arccsch(c*x))/c^2+1/2*b*sqrt(1+1/c^2/x^2)*x^2*(a+b*arccsch(c*x))^2/c+1/3*x^3*(a+b*arccsch(c*x))^3-b*(a+b*arccsch(c*x))^2*arctanh(exp(arccsch(c*x)))/c^3+b^3*arctanh(sqrt(1+1/c^2/x^2))/c^3-b^2*(a+b*arccsch(c*x))*polylog(2,-exp(arccsch(c*x)))/c^3+b^2*(a+b*arccsch(c*x))*polylog(2,exp(arccsch(c*x)))/c^3+b^3*polylog(3,-exp(arccsch(c*x)))/c^3-b^3*polylog(3,exp(arccsch(c*x)))/c^3,1],
[x*(a+b*arccsch(c*x))^3,x,7,3/2*b*(a+b*arccsch(c*x))^2/c^2+3/2*b*sqrt(1+1/c^2/x^2)*x*(a+b*arccsch(c*x))^2/c+1/2*x^2*(a+b*arccsch(c*x))^3-3*b^2*(a+b*arccsch(c*x))*ln(1-exp(2*arccsch(c*x)))/c^2-3/2*b^3*polylog(2,exp(2*arccsch(c*x)))/c^2,1],
[(a+b*arccsch(c*x))^3,x,9,x*(a+b*arccsch(c*x))^3+6*b*(a+b*arccsch(c*x))^2*arctanh(exp(arccsch(c*x)))/c+6*b^2*(a+b*arccsch(c*x))*polylog(2,-exp(arccsch(c*x)))/c-6*b^2*(a+b*arccsch(c*x))*polylog(2,exp(arccsch(c*x)))/c-6*b^3*polylog(3,-exp(arccsch(c*x)))/c+6*b^3*polylog(3,exp(arccsch(c*x)))/c,1],
[(a+b*arccsch(c*x))^3/x,x,7,1/4*(a+b*arccsch(c*x))^4/b-(a+b*arccsch(c*x))^3*ln(1-exp(2*arccsch(c*x)))-3/2*b*(a+b*arccsch(c*x))^2*polylog(2,exp(2*arccsch(c*x)))+3/2*b^2*(a+b*arccsch(c*x))*polylog(3,exp(2*arccsch(c*x)))-3/4*b^3*polylog(4,exp(2*arccsch(c*x))),1],
[(a+b*arccsch(c*x))^3/x^2,x,5,6*b^3*c*sqrt(1+1/c^2/x^2)-6*b^2*(a+b*arccsch(c*x))/x+3*b*c*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))^2-(a+b*arccsch(c*x))^3/x,1],
[(a+b*arccsch(c*x))^3/x^3,x,6,3/8*b^3*c*sqrt(1+1/c^2/x^2)/x-3/8*b^3*c^2*arccsch(c*x)-3/4*b^2*(a+b*arccsch(c*x))/x^2+3/4*b*c*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))^2/x-1/4*c^2*(a+b*arccsch(c*x))^3-1/2*(a+b*arccsch(c*x))^3/x^2,1],
[(a+b*arccsch(c*x))^3/x^4,x,8,-14/9*b^3*c^3*sqrt(1+1/c^2/x^2)+2/27*b^3*c^3*(1+1/c^2/x^2)^(3/2)-2/9*b^2*(a+b*arccsch(c*x))/x^3+4/3*b^2*c^2*(a+b*arccsch(c*x))/x-2/3*b*c^3*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))^2+1/3*b*c*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))^2/x^2-1/3*(a+b*arccsch(c*x))^3/x^3,1],
[(a+b*arccsch(c*x))^3/x^5,x,10,3/128*b^3*c*sqrt(1+1/c^2/x^2)/x^3-45/256*b^3*c^3*sqrt(1+1/c^2/x^2)/x+45/256*b^3*c^4*arccsch(c*x)-3/32*b^2*(a+b*arccsch(c*x))/x^4+9/32*b^2*c^2*(a+b*arccsch(c*x))/x^2+3/16*b*c*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))^2/x^3-9/32*b*c^3*sqrt(1+1/c^2/x^2)*(a+b*arccsch(c*x))^2/x+3/32*c^4*(a+b*arccsch(c*x))^3-1/4*(a+b*arccsch(c*x))^3/x^4,1],
[x/(a+b*arccsch(c*x)),x,0,Defer(Int)(x/(a+b*arccsch(c*x)),x),0],
[1/(a+b*arccsch(c*x)),x,0,Defer(Int)(1/(a+b*arccsch(c*x)),x),0],
[1/x/(a+b*arccsch(c*x)),x,0,Defer(Int)(1/x/(a+b*arccsch(c*x)),x),0],
[1/x^2/(a+b*arccsch(c*x)),x,4,-c*cosh(a/b)*Chi(a/b+arccsch(c*x))/b+c*sinh(a/b)*Shi(a/b+arccsch(c*x))/b,1],
[1/x^3/(a+b*arccsch(c*x)),x,6,1/2*c^2*Chi(2*a/b+2*arccsch(c*x))*sinh(2*a/b)/b-1/2*c^2*cosh(2*a/b)*Shi(2*a/b+2*arccsch(c*x))/b,1],
[1/x^4/(a+b*arccsch(c*x)),x,9,1/4*c^3*cosh(a/b)*Chi(a/b+arccsch(c*x))/b-1/4*c^3*cosh(3*a/b)*Chi(3*a/b+3*arccsch(c*x))/b-1/4*c^3*sinh(a/b)*Shi(a/b+arccsch(c*x))/b+1/4*c^3*sinh(3*a/b)*Shi(3*a/b+3*arccsch(c*x))/b,1],
[(d*x)^m*(a+b*arccsch(c*x))^3,x,0,Defer(Int)((d*x)^m*(a+b*arccsch(c*x))^3,x),0],
[(d*x)^m*(a+b*arccsch(c*x))^2,x,0,Defer(Int)((d*x)^m*(a+b*arccsch(c*x))^2,x),0],
[(d*x)^m*(a+b*arccsch(c*x)),x,4,(d*x)^(1+m)*(a+b*arccsch(c*x))/d/(1+m)+b*(d*x)^m*hypergeom([1/2, -1/2*m],[1-1/2*m],-1/c^2/x^2)/c/m/(1+m),1],
[(d*x)^m/(a+b*arccsch(c*x)),x,0,Defer(Int)((d*x)^m/(a+b*arccsch(c*x)),x),0],
[(d*x)^m/(a+b*arccsch(c*x))^2,x,0,Defer(Int)((d*x)^m/(a+b*arccsch(c*x))^2,x),0],
[(e*x+d)^3*(a+b*arccsch(c*x)),x,10,1/6*b*e*(9*c^2*d^2-e^2)*sqrt(1+1/c^2/x^2)*x/c^3+1/2*b*d*e^2*sqrt(1+1/c^2/x^2)*x^2/c+1/12*b*e^3*sqrt(1+1/c^2/x^2)*x^3/c-1/4*b*d^4*arccsch(c*x)/e+1/4*(e*x+d)^4*(a+b*arccsch(c*x))/e+1/2*b*d*(2*c^2*d^2-e^2)*arctanh(sqrt(1+1/c^2/x^2))/c^3,1],
[(e*x+d)^2*(a+b*arccsch(c*x)),x,9,b*d*e*sqrt(1+1/c^2/x^2)*x/c+1/6*b*e^2*sqrt(1+1/c^2/x^2)*x^2/c-1/3*b*d^3*arccsch(c*x)/e+1/3*(e*x+d)^3*(a+b*arccsch(c*x))/e+1/6*b*(6*c^2*d^2-e^2)*arctanh(sqrt(1+1/c^2/x^2))/c^3,1],
[(e*x+d)*(a+b*arccsch(c*x)),x,8,1/2*b*e*sqrt(1+1/c^2/x^2)*x/c-1/2*b*d^2*arccsch(c*x)/e+1/2*(e*x+d)^2*(a+b*arccsch(c*x))/e+b*d*arctanh(sqrt(1+1/c^2/x^2))/c,1],
[a+b*arccsch(c*x),x,5,a*x+b*x*arccsch(c*x)+b*arctanh(sqrt(1+1/c^2/x^2))/c,1],
[(a+b*arccsch(c*x))/(e*x+d),x,10,(a+b*arccsch(c*x))*ln(1+c*d*exp(arccsch(c*x))/(e-sqrt(c^2*d^2+e^2)))/e+(a+b*arccsch(c*x))*ln(1+c*d*exp(arccsch(c*x))/(e+sqrt(c^2*d^2+e^2)))/e-(a+b*arccsch(c*x))*ln(1-exp(2*arccsch(c*x)))/e+b*polylog(2,-c*d*exp(arccsch(c*x))/(e-sqrt(c^2*d^2+e^2)))/e+b*polylog(2,-c*d*exp(arccsch(c*x))/(e+sqrt(c^2*d^2+e^2)))/e-1/2*b*polylog(2,exp(2*arccsch(c*x)))/e,1],
[(a+b*arccsch(c*x))/(e*x+d)^2,x,6,b*arccsch(c*x)/d/e-(a+b*arccsch(c*x))/e/(e*x+d)+b*arctanh((c^2*d-e/x)/c/sqrt(c^2*d^2+e^2)/sqrt(1+1/c^2/x^2))/d/sqrt(c^2*d^2+e^2),1],
[(a+b*arccsch(c*x))/(e*x+d)^3,x,7,-1/2*b*c*e*sqrt(1+1/c^2/x^2)/d/(c^2*d^2+e^2)/(e+d/x)+1/2*b*arccsch(c*x)/d^2/e-1/2*(a+b*arccsch(c*x))/e/(e*x+d)^2+1/2*b*(2*c^2*d^2+e^2)*arctanh((c^2*d-e/x)/c/sqrt(c^2*d^2+e^2)/sqrt(1+1/c^2/x^2))/d^2/(c^2*d^2+e^2)^(3/2),1],
[x^3*sqrt(e*x+d)*(a+b*arccsch(c*x)),x,14,-20/189*b*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/c^3-32/315*b*d*sqrt(1+1/c^2/x^2)*x*(e*x+d)^(3/2)/c/e^2+4/63*b*sqrt(1+1/c^2/x^2)*x*(e*x+d)^(5/2)/c/e^2+16/945*b*d*(6*c^2*d^2-7*e^2)*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/c^2/e^2/sqrt(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))-2/3*d^3*(e*x+d)^(3/2)*(a+b*arccsch(c*x))/e^4+6/5*d^2*(e*x+d)^(5/2)*(a+b*arccsch(c*x))/e^4-6/7*d*(e*x+d)^(7/2)*(a+b*arccsch(c*x))/e^4+2/9*(e*x+d)^(9/2)*(a+b*arccsch(c*x))/e^4+32/315*b*d^(9/2)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^4/sqrt(1+1/c^2/x^2)/x-16/945*b*d*(6*c^2*d^2-7*e^2)*(c^2*d^2+e^2)^(3/4)*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(9/2)/e^4/sqrt(1+1/c^2/x^2)/x+2/945*b*(c^2*d^2+e^2)^(3/4)*(48*c^5*d^5+24*c^3*d^3*e^2-28*c*d*e^4-sqrt(c^2*d^2+e^2)*(48*c^4*d^4-25*e^4))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(11/2)/e^6/sqrt(1+1/c^2/x^2)/x+16/315*b*d^4*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^6/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[x^2*sqrt(e*x+d)*(a+b*arccsch(c*x)),x,13,-4/105*b*d*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/c/e+4/35*b*sqrt(1+1/c^2/x^2)*x*(e*x+d)^(3/2)/c/e-4/105*b*(5*c^2*d^2+9*e^2)*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/c^2/e/sqrt(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))+2/3*d^2*(e*x+d)^(3/2)*(a+b*arccsch(c*x))/e^3-4/5*d*(e*x+d)^(5/2)*(a+b*arccsch(c*x))/e^3+2/7*(e*x+d)^(7/2)*(a+b*arccsch(c*x))/e^3-16/105*b*d^(7/2)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^3/sqrt(1+1/c^2/x^2)/x+4/105*b*(c^2*d^2+e^2)^(3/4)*(5*c^2*d^2+9*e^2)*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(9/2)/e^3/sqrt(1+1/c^2/x^2)/x-2/105*b*(c^2*d^2+e^2)^(3/4)*(8*c^4*d^4+5*c^2*d^2*e^2+9*e^4-c*d*sqrt(c^2*d^2+e^2)*(8*c^2*d^2+e^2))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(9/2)/e^5/sqrt(1+1/c^2/x^2)/x-8/105*b*d^3*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^5/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[x*sqrt(e*x+d)*(a+b*arccsch(c*x)),x,12,4/15*b*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/c+8/15*b*d*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/sqrt(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))-2/3*d*(e*x+d)^(3/2)*(a+b*arccsch(c*x))/e^2+2/5*(e*x+d)^(5/2)*(a+b*arccsch(c*x))/e^2+4/15*b*d^(5/2)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^2/sqrt(1+1/c^2/x^2)/x-8/15*b*d*(c^2*d^2+e^2)^(3/4)*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e^2/sqrt(1+1/c^2/x^2)/x-2/15*b*(c^2*d^2+e^2)^(5/4)*(2*c^2*d^2+e^2-2*c*d*sqrt(c^2*d^2+e^2))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(7/2)/e^4/sqrt(1+1/c^2/x^2)/x+2/15*b*d^2*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^4/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[sqrt(e*x+d)*(a+b*arccsch(c*x)),x,13,4/3*b*e*sqrt(e*x+d)*(c^2*x^2+1)/c^2/sqrt(1+1/c^2/x^2)/x/(sqrt(c^2*d^2+e^2)+c*(e*x+d))+2/3*(e*x+d)^(3/2)*(a+b*arccsch(c*x))/e-2/3*b*d^(3/2)*sqrt(1/c^2+x^2)*arctanh(sqrt(e*x+d)/c/sqrt(d)/sqrt(1/c^2+x^2))/e/sqrt(1+1/c^2/x^2)/x-4/3*b*(c^2*d^2+e^2)^(3/4)*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e/sqrt(1+1/c^2/x^2)/x+2/3*b*(c^2*d^2+e^2)^(1/4)*(c*d+sqrt(c^2*d^2+e^2))*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e/sqrt(1+1/c^2/x^2)/x-2/3*b*d^2*(c^2*d^2+e^2-c*d*sqrt(c^2*d^2+e^2))*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/sqrt(c)/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x-1/3*b*d*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[sqrt(e*x+d)*(a+b*arccsch(c*x))/x,x,0,Defer(Int)(sqrt(e*x+d)*(a+b*arccsch(c*x))/x,x),0],
[sqrt(e*x+d)*(a+b*arccsch(c*x))/x^2,x,0,Defer(Int)(sqrt(e*x+d)*(a+b*arccsch(c*x))/x^2,x),0],
[(e*x+d)^(3/2)*(a+b*arccsch(c*x)),x,14,4/15*b*e*sqrt(e*x+d)*(c^2*x^2+1)/c^3/sqrt(1+1/c^2/x^2)/x+28/15*b*d*e*sqrt(e*x+d)*(c^2*x^2+1)/c^2/sqrt(1+1/c^2/x^2)/x/(sqrt(c^2*d^2+e^2)+c*(e*x+d))+2/5*(e*x+d)^(5/2)*(a+b*arccsch(c*x))/e-2/5*b*d^(5/2)*sqrt(1/c^2+x^2)*arctanh(sqrt(e*x+d)/c/sqrt(d)/sqrt(1/c^2+x^2))/e/sqrt(1+1/c^2/x^2)/x-28/15*b*d*(c^2*d^2+e^2)^(3/4)*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e/sqrt(1+1/c^2/x^2)/x-2/5*b*d^3*(c^2*d^2+e^2-c*d*sqrt(c^2*d^2+e^2))*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/sqrt(c)/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x+2/15*b*(c^2*d^2+e^2)^(1/4)*(2*c^2*d^2-e^2+7*c*d*sqrt(c^2*d^2+e^2))*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(7/2)/e/sqrt(1+1/c^2/x^2)/x-1/5*b*d^2*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[x^3*(a+b*arccsch(c*x))/sqrt(e*x+d),x,13,-32/105*b*d*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/c/e^2+4/35*b*sqrt(1+1/c^2/x^2)*x*(e*x+d)^(3/2)/c/e^2+4/105*b*(16*c^2*d^2-9*e^2)*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/c^2/e^2/sqrt(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))-2*d^3*sqrt(e*x+d)*(a+b*arccsch(c*x))/e^4+2*d^2*(e*x+d)^(3/2)*(a+b*arccsch(c*x))/e^4-6/5*d*(e*x+d)^(5/2)*(a+b*arccsch(c*x))/e^4+2/7*(e*x+d)^(7/2)*(a+b*arccsch(c*x))/e^4+32/35*b*d^(7/2)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^4/sqrt(1+1/c^2/x^2)/x-4/105*b*(16*c^2*d^2-9*e^2)*(c^2*d^2+e^2)^(3/4)*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(9/2)/e^4/sqrt(1+1/c^2/x^2)/x+2/105*b*(c^2*d^2+e^2)^(3/4)*(48*c^4*d^4+16*c^2*d^2*e^2-9*e^4-8*c*d*(6*c^2*d^2-e^2)*sqrt(c^2*d^2+e^2))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(9/2)/e^6/sqrt(1+1/c^2/x^2)/x+16/35*b*d^3*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^6/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[x^2*(a+b*arccsch(c*x))/sqrt(e*x+d),x,12,4/15*b*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/c/e-4/5*b*d*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/e/sqrt(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))+2*d^2*sqrt(e*x+d)*(a+b*arccsch(c*x))/e^3-4/3*d*(e*x+d)^(3/2)*(a+b*arccsch(c*x))/e^3+2/5*(e*x+d)^(5/2)*(a+b*arccsch(c*x))/e^3-16/15*b*d^(5/2)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^3/sqrt(1+1/c^2/x^2)/x+4/5*b*d*(c^2*d^2+e^2)^(3/4)*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e^3/sqrt(1+1/c^2/x^2)/x+2/15*b*(c^2*d^2+e^2)^(1/4)*(8*c^4*d^4+7*c^2*d^2*e^2-e^4-c*d*sqrt(c^2*d^2+e^2)*(8*c^2*d^2+3*e^2))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(7/2)/e^5/sqrt(1+1/c^2/x^2)/x-8/15*b*d^2*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^5/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[x*(a+b*arccsch(c*x))/sqrt(e*x+d),x,11,4/3*b*sqrt(e*x+d)*(c^2*x^2+1)/c^2/sqrt(c^2*d^2+e^2)/sqrt(1+1/c^2/x^2)/x/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))-2*d*sqrt(e*x+d)*(a+b*arccsch(c*x))/e^2+2/3*(e*x+d)^(3/2)*(a+b*arccsch(c*x))/e^2+4/3*b*d^(3/2)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^2/sqrt(1+1/c^2/x^2)/x-4/3*b*(c^2*d^2+e^2)^(3/4)*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e^2/sqrt(1+1/c^2/x^2)/x+2/3*b*(c^2*d^2+e^2)^(3/4)*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e^4/sqrt(1+1/c^2/x^2)/x+2/3*b*d*(c^2*d^2+e^2)^(1/4)*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^4/sqrt(1+1/c^2/x^2)/x,1],
[(a+b*arccsch(c*x))/sqrt(e*x+d),x,7,2*sqrt(e*x+d)*(a+b*arccsch(c*x))/e-2*b*sqrt(d)*sqrt(1/c^2+x^2)*arctanh(sqrt(e*x+d)/c/sqrt(d)/sqrt(1/c^2+x^2))/e/sqrt(1+1/c^2/x^2)/x-2*b*(c^2*d^2+e^2)^(3/4)*(c*d-sqrt(c^2*d^2+e^2))*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^3/sqrt(1+1/c^2/x^2)/x-b*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[(a+b*arccsch(c*x))/x/sqrt(e*x+d),x,0,Defer(Int)((a+b*arccsch(c*x))/x/sqrt(e*x+d),x),0],
[(a+b*arccsch(c*x))/x^2/sqrt(e*x+d),x,0,Defer(Int)((a+b*arccsch(c*x))/x^2/sqrt(e*x+d),x),0],
[x^3*(a+b*arccsch(c*x))/(e*x+d)^(3/2),x,12,4/15*b*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/c/e^2-32/15*b*d*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/e^2/sqrt(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))+2*d^3*(a+b*arccsch(c*x))/e^4/sqrt(e*x+d)+6*d^2*sqrt(e*x+d)*(a+b*arccsch(c*x))/e^4-2*d*(e*x+d)^(3/2)*(a+b*arccsch(c*x))/e^4+2/5*(e*x+d)^(5/2)*(a+b*arccsch(c*x))/e^4-32/5*b*d^(5/2)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^4/sqrt(1+1/c^2/x^2)/x+32/15*b*d*(c^2*d^2+e^2)^(3/4)*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e^4/sqrt(1+1/c^2/x^2)/x+2/15*b*(c^2*d^2+e^2)^(1/4)*(48*c^4*d^4+32*c^2*d^2*e^2-e^4-8*c*d*sqrt(c^2*d^2+e^2)*(6*c^2*d^2+e^2))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(7/2)/e^6/sqrt(1+1/c^2/x^2)/x-16/5*b*d^2*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^6/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[x^2*(a+b*arccsch(c*x))/(e*x+d)^(3/2),x,11,4/3*b*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/e/sqrt(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))-2*d^2*(a+b*arccsch(c*x))/e^3/sqrt(e*x+d)-4*d*sqrt(e*x+d)*(a+b*arccsch(c*x))/e^3+2/3*(e*x+d)^(3/2)*(a+b*arccsch(c*x))/e^3+16/3*b*d^(3/2)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^3/sqrt(1+1/c^2/x^2)/x-4/3*b*(c^2*d^2+e^2)^(3/4)*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e^3/sqrt(1+1/c^2/x^2)/x-2/3*b*(c^2*d^2+e^2)^(1/4)*(8*c^3*d^3+5*c*d*e^2-sqrt(c^2*d^2+e^2)*(8*c^2*d^2+e^2))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e^5/sqrt(1+1/c^2/x^2)/x+8/3*b*d*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^5/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[x*(a+b*arccsch(c*x))/(e*x+d)^(3/2),x,8,2*d*(a+b*arccsch(c*x))/e^2/sqrt(e*x+d)+2*sqrt(e*x+d)*(a+b*arccsch(c*x))/e^2-4*b*sqrt(d)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^2/sqrt(1+1/c^2/x^2)/x-2*b*(2*c^3*d^3+2*c*d*e^2-sqrt(c^2*d^2+e^2)*(2*c^2*d^2+e^2))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^4/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x-2*b*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^4/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[(a+b*arccsch(c*x))/(e*x+d)^(3/2),x,7,(-2*a-2*b*arccsch(c*x))/e/sqrt(e*x+d)+2*b*sqrt(1/c^2+x^2)*arctanh(sqrt(e*x+d)/c/sqrt(d)/sqrt(1/c^2+x^2))/sqrt(d)/e/sqrt(1+1/c^2/x^2)/x+2*b*(c^2*d^2+e^2-c*d*sqrt(c^2*d^2+e^2))*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/sqrt(c)/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x+b*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/d/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[(a+b*arccsch(c*x))/x/(e*x+d)^(3/2),x,0,Defer(Int)((a+b*arccsch(c*x))/x/(e*x+d)^(3/2),x),0],
[(a+b*arccsch(c*x))/x^2/(e*x+d)^(3/2),x,0,Defer(Int)((a+b*arccsch(c*x))/x^2/(e*x+d)^(3/2),x),0],
[x^3*(a+b*arccsch(c*x))/(e*x+d)^(5/2),x,12,4/3*b*c*d^2*sqrt(1+1/c^2/x^2)*x/e^2/(c^2*d^2+e^2)/sqrt(e*x+d)+4/3*b*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/(c^2*d^2+e^2)^(3/2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))+2/3*d^3*(a+b*arccsch(c*x))/e^4/(e*x+d)^(3/2)-6*d^2*(a+b*arccsch(c*x))/e^4/sqrt(e*x+d)-6*d*sqrt(e*x+d)*(a+b*arccsch(c*x))/e^4+2/3*(e*x+d)^(3/2)*(a+b*arccsch(c*x))/e^4+32/3*b*d^(3/2)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^4/sqrt(1+1/c^2/x^2)/x-4/3*b*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e^2/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x+2/3*b*(16*c^4*d^4+16*c^2*d^2*e^2+e^4-8*c*d*sqrt(c^2*d^2+e^2)*(2*c^2*d^2+e^2))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(5/2)/e^6/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x+16/3*b*d*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^6/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[x^2*(a+b*arccsch(c*x))/(e*x+d)^(5/2),x,12,-4/3*b*c*d*sqrt(1+1/c^2/x^2)*x/e/(c^2*d^2+e^2)/sqrt(e*x+d)+4/3*b*c^2*d*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/e/(c^2*d^2+e^2)^(3/2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))-2/3*d^2*(a+b*arccsch(c*x))/e^3/(e*x+d)^(3/2)+4*d*(a+b*arccsch(c*x))/e^3/sqrt(e*x+d)+2*sqrt(e*x+d)*(a+b*arccsch(c*x))/e^3-16/3*b*sqrt(d)*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/e^3/sqrt(1+1/c^2/x^2)/x-4/3*b*d*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/sqrt(c)/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x-2/3*b*(8*c^3*d^3+7*c*d*e^2-sqrt(c^2*d^2+e^2)*(8*c^2*d^2+3*e^2))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^5/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x-8/3*b*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/e^5/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[x*(a+b*arccsch(c*x))/(e*x+d)^(5/2),x,12,4/3*b*c*sqrt(1+1/c^2/x^2)*x/(c^2*d^2+e^2)/sqrt(e*x+d)-4/3*b*c^2*sqrt(1+1/c^2/x^2)*x*sqrt(e*x+d)/(c^2*d^2+e^2)^(3/2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))+2/3*d*(a+b*arccsch(c*x))/e^2/(e*x+d)^(3/2)-2*(a+b*arccsch(c*x))/e^2/sqrt(e*x+d)+4/3*b*sqrt(c^2*x^2+1)*arctanh(sqrt(e*x+d)/sqrt(d)/sqrt(c^2*x^2+1))/c/sqrt(d)/e^2/sqrt(1+1/c^2/x^2)/x+4/3*b*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/sqrt(c)/e^2/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x+2/3*b*(2*c^2*d^2+e^2-2*c*d*sqrt(c^2*d^2+e^2))*sqrt((c^2*x^2+1)/(1+c^2*d^2/e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/sqrt(c)/e^4/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x+2/3*b*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/d/e^4/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[(a+b*arccsch(c*x))/(e*x+d)^(5/2),x,12,-4/3*b*e*(c^2*x^2+1)/c/d/(c^2*d^2+e^2)/sqrt(1+1/c^2/x^2)/x/sqrt(e*x+d)+4/3*b*e*sqrt(e*x+d)*(c^2*x^2+1)/d/(c^2*d^2+e^2)^(3/2)/sqrt(1+1/c^2/x^2)/x/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))-2/3*(a+b*arccsch(c*x))/e/(e*x+d)^(3/2)+2/3*b*sqrt(1/c^2+x^2)*arctanh(sqrt(e*x+d)/c/sqrt(d)/sqrt(1/c^2+x^2))/d^(3/2)/e/sqrt(1+1/c^2/x^2)/x-4/3*b*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/sqrt(c)/d/e/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x+2/3*b*(c^2*d^2+2*e^2-c*d*sqrt(c^2*d^2+e^2))*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/sqrt(c)/d/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x+1/3*b*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/d^2/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[(a+b*arccsch(c*x))/x/(e*x+d)^(5/2),x,0,Defer(Int)((a+b*arccsch(c*x))/x/(e*x+d)^(5/2),x),0],
[(a+b*arccsch(c*x))/x^2/(e*x+d)^(5/2),x,0,Defer(Int)((a+b*arccsch(c*x))/x^2/(e*x+d)^(5/2),x),0],
[(a+b*arccsch(c*x))/(e*x+d)^(7/2),x,13,-4/15*b*e*(c^2*x^2+1)/c/d/(c^2*d^2+e^2)/sqrt(1+1/c^2/x^2)/x/(e*x+d)^(3/2)-4/15*b*e*(7*c^2*d^2+3*e^2)*(c^2*x^2+1)/c/d^2/(c^2*d^2+e^2)^2/sqrt(1+1/c^2/x^2)/x/sqrt(e*x+d)+4/15*b*e*(7*c^2*d^2+3*e^2)*sqrt(e*x+d)*(c^2*x^2+1)/d^2/(c^2*d^2+e^2)^(5/2)/sqrt(1+1/c^2/x^2)/x/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))-2/5*(a+b*arccsch(c*x))/e/(e*x+d)^(5/2)+2/5*b*sqrt(1/c^2+x^2)*arctanh(sqrt(e*x+d)/c/sqrt(d)/sqrt(1/c^2+x^2))/d^(5/2)/e/sqrt(1+1/c^2/x^2)/x-4/15*b*(7*c^2*d^2+3*e^2)*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*EllipticE(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/sqrt(c)/d^2/e/(c^2*d^2+e^2)^(5/4)/sqrt(1+1/c^2/x^2)/x+2/15*b*(3*c^4*d^4+13*c^2*d^2*e^2+6*e^4-c*d*sqrt(c^2*d^2+e^2)*(3*c^2*d^2+4*e^2))*sqrt(e^2*(c^2*x^2+1)/(c^2*d^2+e^2)/(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))^2)*(1+c*(e*x+d)/sqrt(c^2*d^2+e^2))*InverseJacobiAM(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4)),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/sqrt(c)/d^2/e^3/(c^2*d^2+e^2)^(5/4)/sqrt(1+1/c^2/x^2)/x+1/5*b*(c*d-sqrt(c^2*d^2+e^2))^2*sqrt(e^2*(c^2*x^2+1)/(sqrt(c^2*d^2+e^2)+c*(e*x+d))^2)*(sqrt(c^2*d^2+e^2)+c*(e*x+d))*EllipticPi(sin(2*arctan(sqrt(c)*sqrt(e*x+d)/(c^2*d^2+e^2)^(1/4))),1/4*(c*d+sqrt(c^2*d^2+e^2))^2/c/d/sqrt(c^2*d^2+e^2),sqrt(1/2+1/2*c*d/sqrt(c^2*d^2+e^2)))/c^(3/2)/d^3/e^3/(c^2*d^2+e^2)^(1/4)/sqrt(1+1/c^2/x^2)/x,1],
[x^4*(e*x^2+d)*(a+b*arccsch(c*x)),x,7,-1/560*b*(42*c^2*d-25*e)*x^2*sqrt(-c^2*x^2-1)/c^5/sqrt(-c^2*x^2)+1/840*b*(42*c^2*d-25*e)*x^4*sqrt(-c^2*x^2-1)/c^3/sqrt(-c^2*x^2)+1/42*b*e*x^6*sqrt(-c^2*x^2-1)/c/sqrt(-c^2*x^2)+1/5*d*x^5*(a+b*arccsch(c*x))+1/7*e*x^7*(a+b*arccsch(c*x))-1/560*b*(42*c^2*d-25*e)*x*arctan(c*x/sqrt(-c^2*x^2-1))/c^6/sqrt(-c^2*x^2),1],
[x^2*(e*x^2+d)*(a+b*arccsch(c*x)),x,6,1/120*b*(20*c^2*d-9*e)*x^2*sqrt(-c^2*x^2-1)/c^3/sqrt(-c^2*x^2)+1/20*b*e*x^4*sqrt(-c^2*x^2-1)/c/sqrt(-c^2*x^2)+1/3*d*x^3*(a+b*arccsch(c*x))+1/5*e*x^5*(a+b*arccsch(c*x))+1/120*b*(20*c^2*d-9*e)*x*arctan(c*x/sqrt(-c^2*x^2-1))/c^4/sqrt(-c^2*x^2),1],
[(e*x^2+d)*(a+b*arccsch(c*x)),x,5,1/6*b*e*x^2*sqrt(-c^2*x^2-1)/c/sqrt(-c^2*x^2)+d*x*(a+b*arccsch(c*x))+1/3*e*x^3*(a+b*arccsch(c*x))-1/6*b*(6*c^2*d-e)*x*arctan(c*x/sqrt(-c^2*x^2-1))/c^2/sqrt(-c^2*x^2),1],
[(e*x^2+d)*(a+b*arccsch(c*x))/x^2,x,4,b*c*d*sqrt(-c^2*x^2-1)/sqrt(-c^2*x^2)-d*(a+b*arccsch(c*x))/x+e*x*(a+b*arccsch(c*x))-b*e*x*arctan(c*x/sqrt(-c^2*x^2-1))/sqrt(-c^2*x^2),1],
[(e*x^2+d)*(a+b*arccsch(c*x))/x^4,x,4,-1/9*b*c*(2*c^2*d-9*e)*sqrt(-c^2*x^2-1)/sqrt(-c^2*x^2)+1/9*b*c*d*sqrt(-c^2*x^2-1)/x^2/sqrt(-c^2*x^2)-1/3*d*(a+b*arccsch(c*x))/x^3-e*(a+b*arccsch(c*x))/x,1],
[(e*x^2+d)*(a+b*arccsch(c*x))/x^6,x,5,2/225*b*c^3*(12*c^2*d-25*e)*sqrt(-c^2*x^2-1)/sqrt(-c^2*x^2)+1/25*b*c*d*sqrt(-c^2*x^2-1)/x^4/sqrt(-c^2*x^2)-1/225*b*c*(12*c^2*d-25*e)*sqrt(-c^2*x^2-1)/x^2/sqrt(-c^2*x^2)-1/5*d*(a+b*arccsch(c*x))/x^5-1/3*e*(a+b*arccsch(c*x))/x^3,1],
[(e*x^2+d)*(a+b*arccsch(c*x))/x^8,x,6,-8/3675*b*c^5*(30*c^2*d-49*e)*sqrt(-c^2*x^2-1)/sqrt(-c^2*x^2)+1/49*b*c*d*sqrt(-c^2*x^2-1)/x^6/sqrt(-c^2*x^2)-1/1225*b*c*(30*c^2*d-49*e)*sqrt(-c^2*x^2-1)/x^4/sqrt(-c^2*x^2)+4/3675*b*c^3*(30*c^2*d-49*e)*sqrt(-c^2*x^2-1)/x^2/sqrt(-c^2*x^2)-1/7*d*(a+b*arccsch(c*x))/x^7-1/5*e*(a+b*arccsch(c*x))/x^5,1],
[x^5*(e*x^2+d)*(a+b*arccsch(c*x)),x,5,1/24*b*(4*c^2*d-3*e)*x*sqrt(-c^2*x^2-1)/c^7/sqrt(-c^2*x^2)+1/72*b*(8*c^2*d-9*e)*x*(-c^2*x^2-1)^(3/2)/c^7/sqrt(-c^2*x^2)+1/120*b*(4*c^2*d-9*e)*x*(-c^2*x^2-1)^(5/2)/c^7/sqrt(-c^2*x^2)-1/56*b*e*x*(-c^2*x^2-1)^(7/2)/c^7/sqrt(-c^2*x^2)+1/6*d*x^6*(a+b*arccsch(c*x))+1/8*e*x^8*(a+b*arccsch(c*x)),1],
[x^3*(e*x^2+d)*(a+b*arccsch(c*x)),x,5,-1/12*b*(3*c^2*d-2*e)*x*sqrt(-c^2*x^2-1)/c^5/sqrt(-c^2*x^2)-1/36*b*(3*c^2*d-4*e)*x*(-c^2*x^2-1)^(3/2)/c^5/sqrt(-c^2*x^2)+1/30*b*e*x*(-c^2*x^2-1)^(5/2)/c^5/sqrt(-c^2*x^2)+1/4*d*x^4*(a+b*arccsch(c*x))+1/6*e*x^6*(a+b*arccsch(c*x)),1],
[x*(e*x^2+d)*(a+b*arccsch(c*x)),x,6,1/4*b*(2*c^2*d-e)*x*sqrt(-c^2*x^2-1)/c^3/sqrt(-c^2*x^2)-1/12*b*e*x*(-c^2*x^2-1)^(3/2)/c^3/sqrt(-c^2*x^2)+1/4*(e*x^2+d)^2*(a+b*arccsch(c*x))/e-1/4*b*c*d^2*x*arctan(sqrt(-c^2*x^2-1))/e/sqrt(-c^2*x^2),1],
[(e*x^2+d)*(a+b*arccsch(c*x))/x,x,9,1/2*b*e*sqrt(1+1/c^2/x^2)*x/c+1/2*b*d*arccsch(c*x)^2+1/2*e*x^2*(a+b*arccsch(c*x))-b*d*arccsch(c*x)*ln(1-exp(2*arccsch(c*x)))+b*d*arccsch(c*x)*ln(1/x)-d*(a+b*arccsch(c*x))*ln(1/x)-1/2*b*d*polylog(2,exp(2*arccsch(c*x))),1],
[(e*x^2+d)*(a+b*arccsch(c*x))/x^3,x,11,1/4*b*c*d*sqrt(1+1/c^2/x^2)/x-1/4*b*c^2*d*arccsch(c*x)+1/2*b*e*arccsch(c*x)^2-1/2*d*(a+b*arccsch(c*x))/x^2-b*e*arccsch(c*x)*ln(1-exp(2*arccsch(c*x)))+b*e*arccsch(c*x)*ln(1/x)-e*(a+b*arccsch(c*x))*ln(1/x)-1/2*b*e*polylog(2,exp(2*arccsch(c*x))),1],
[x^2*(e*x^2+d)^2*(a+b*arccsch(c*x)),x,7,1/1680*b*(280*c^4*d^2-252*c^2*d*e+75*e^2)*x^2*sqrt(-c^2*x^2-1)/c^5/sqrt(-c^2*x^2)+1/840*b*(84*c^2*d-25*e)*e*x^4*sqrt(-c^2*x^2-1)/c^3/sqrt(-c^2*x^2)+1/42*b*e^2*x^6*sqrt(-c^2*x^2-1)/c/sqrt(-c^2*x^2)+1/3*d^2*x^3*(a+b*arccsch(c*x))+2/5*d*e*x^5*(a+b*arccsch(c*x))+1/7*e^2*x^7*(a+b*arccsch(c*x))+1/1680*b*(280*c^4*d^2-252*c^2*d*e+75*e^2)*x*arctan(c*x/sqrt(-c^2*x^2-1))/c^6/sqrt(-c^2*x^2),1],
[(e*x^2+d)^2*(a+b*arccsch(c*x)),x,6,1/120*b*(40*c^2*d-9*e)*e*x^2*sqrt(-c^2*x^2-1)/c^3/sqrt(-c^2*x^2)+1/20*b*e^2*x^4*sqrt(-c^2*x^2-1)/c/sqrt(-c^2*x^2)+d^2*x*(a+b*arccsch(c*x))+2/3*d*e*x^3*(a+b*arccsch(c*x))+1/5*e^2*x^5*(a+b*arccsch(c*x))-1/120*b*(120*c^4*d^2-40*c^2*d*e+9*e^2)*x*arctan(c*x/sqrt(-c^2*x^2-1))/c^4/sqrt(-c^2*x^2),1],
[(e*x^2+d)^2*(a+b*arccsch(c*x))/x^2,x,6,b*c*d^2*sqrt(-c^2*x^2-1)/sqrt(-c^2*x^2)+1/6*b*e^2*x^2*sqrt(-c^2*x^2-1)/c/sqrt(-c^2*x^2)-d^2*(a+b*arccsch(c*x))/x+2*d*e*x*(a+b*arccsch(c*x))+1/3*e^2*x^3*(a+b*arccsch(c*x))-1/6*b*(12*c^2*d-e)*e*x*arctan(c*x/sqrt(-c^2*x^2-1))/c^2/sqrt(-c^2*x^2),1],
[(e*x^2+d)^2*(a+b*arccsch(c*x))/x^4,x,6,-2/9*b*c*d*(c^2*d-9*e)*sqrt(-c^2*x^2-1)/sqrt(-c^2*x^2)+1/9*b*c*d^2*sqrt(-c^2*x^2-1)/x^2/sqrt(-c^2*x^2)-1/3*d^2*(a+b*arccsch(c*x))/x^3-2*d*e*(a+b*arccsch(c*x))/x+e^2*x*(a+b*arccsch(c*x))-b*e^2*x*arctan(c*x/sqrt(-c^2*x^2-1))/sqrt(-c^2*x^2),1],
[(e*x^2+d)^2*(a+b*arccsch(c*x))/x^6,x,5,1/225*b*c*(24*c^4*d^2-100*c^2*d*e+225*e^2)*sqrt(-c^2*x^2-1)/sqrt(-c^2*x^2)+1/25*b*c*d^2*sqrt(-c^2*x^2-1)/x^4/sqrt(-c^2*x^2)-2/225*b*c*d*(6*c^2*d-25*e)*sqrt(-c^2*x^2-1)/x^2/sqrt(-c^2*x^2)-1/5*d^2*(a+b*arccsch(c*x))/x^5-2/3*d*e*(a+b*arccsch(c*x))/x^3-e^2*(a+b*arccsch(c*x))/x,1],
[(e*x^2+d)^2*(a+b*arccsch(c*x))/x^8,x,6,-2/11025*b*c^3*(360*c^4*d^2-1176*c^2*d*e+1225*e^2)*sqrt(-c^2*x^2-1)/sqrt(-c^2*x^2)+1/49*b*c*d^2*sqrt(-c^2*x^2-1)/x^6/sqrt(-c^2*x^2)-2/1225*b*c*d*(15*c^2*d-49*e)*sqrt(-c^2*x^2-1)/x^4/sqrt(-c^2*x^2)+1/11025*b*c*(360*c^4*d^2-1176*c^2*d*e+1225*e^2)*sqrt(-c^2*x^2-1)/x^2/sqrt(-c^2*x^2)-1/7*d^2*(a+b*arccsch(c*x))/x^7-2/5*d*e*(a+b*arccsch(c*x))/x^5-1/3*e^2*(a+b*arccsch(c*x))/x^3,1],
[x^3*(e*x^2+d)^2*(a+b*arccsch(c*x)),x,5,-1/24*b*(6*c^4*d^2-8*c^2*d*e+3*e^2)*x*sqrt(-c^2*x^2-1)/c^7/sqrt(-c^2*x^2)-1/72*b*(6*c^4*d^2-16*c^2*d*e+9*e^2)*x*(-c^2*x^2-1)^(3/2)/c^7/sqrt(-c^2*x^2)+1/120*b*(8*c^2*d-9*e)*e*x*(-c^2*x^2-1)^(5/2)/c^7/sqrt(-c^2*x^2)-1/56*b*e^2*x*(-c^2*x^2-1)^(7/2)/c^7/sqrt(-c^2*x^2)+1/4*d^2*x^4*(a+b*arccsch(c*x))+1/3*d*e*x^6*(a+b*arccsch(c*x))+1/8*e^2*x^8*(a+b*arccsch(c*x)),1],
[x*(e*x^2+d)^2*(a+b*arccsch(c*x)),x,6,1/6*b*(3*c^4*d^2-3*c^2*d*e+e^2)*x*sqrt(-c^2*x^2-1)/c^5/sqrt(-c^2*x^2)-1/18*b*(3*c^2*d-2*e)*e*x*(-c^2*x^2-1)^(3/2)/c^5/sqrt(-c^2*x^2)+1/30*b*e^2*x*(-c^2*x^2-1)^(5/2)/c^5/sqrt(-c^2*x^2)+1/6*(e*x^2+d)^3*(a+b*arccsch(c*x))/e-1/6*b*c*d^3*x*arctan(sqrt(-c^2*x^2-1))/e/sqrt(-c^2*x^2),1],
[(e*x^2+d)^2*(a+b*arccsch(c*x))/x,x,10,1/6*b*(6*c^2*d-e)*e*sqrt(1+1/c^2/x^2)*x/c^3+1/12*b*e^2*sqrt(1+1/c^2/x^2)*x^3/c+1/2*b*d^2*arccsch(c*x)^2+d*e*x^2*(a+b*arccsch(c*x))+1/4*e^2*x^4*(a+b*arccsch(c*x))-b*d^2*arccsch(c*x)*ln(1-exp(2*arccsch(c*x)))+b*d^2*arccsch(c*x)*ln(1/x)-d^2*(a+b*arccsch(c*x))*ln(1/x)-1/2*b*d^2*polylog(2,exp(2*arccsch(c*x))),1],
[(e*x^2+d)^2*(a+b*arccsch(c*x))/x^3,x,12,1/4*b*c*d^2*sqrt(1+1/c^2/x^2)/x+1/2*b*e^2*sqrt(1+1/c^2/x^2)*x/c-1/4*b*c^2*d^2*arccsch(c*x)+b*d*e*arccsch(c*x)^2-1/2*d^2*(a+b*arccsch(c*x))/x^2+1/2*e^2*x^2*(a+b*arccsch(c*x))-2*b*d*e*arccsch(c*x)*ln(1-exp(2*arccsch(c*x)))+2*b*d*e*arccsch(c*x)*ln(1/x)-2*d*e*(a+b*arccsch(c*x))*ln(1/x)-b*d*e*polylog(2,exp(2*arccsch(c*x))),1],
[x^2*(a+b*arccsch(c*x))/(e*x^2+d),x,25,x*(a+b*arccsch(c*x))/e+b*arctanh(sqrt(1+1/c^2/x^2))/c/e+1/2*sqrt(-d)*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^(3/2)-1/2*sqrt(-d)*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^(3/2)+1/2*sqrt(-d)*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^(3/2)-1/2*sqrt(-d)*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^(3/2)-1/2*b*sqrt(-d)*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^(3/2)+1/2*b*sqrt(-d)*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^(3/2)-1/2*b*sqrt(-d)*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^(3/2)+1/2*b*sqrt(-d)*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^(3/2),1],
[x*(a+b*arccsch(c*x))/(e*x^2+d),x,24,1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e+1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e+1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e+1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e-(a+b*arccsch(c*x))*ln(1-exp(2*arccsch(c*x)))/e+1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e+1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e+1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e+1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e-1/2*b*polylog(2,exp(2*arccsch(c*x)))/e,1],
[(a+b*arccsch(c*x))/(e*x^2+d),x,19,1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e),1],
[(a+b*arccsch(c*x))/x/(e*x^2+d),x,19,1/2*(a+b*arccsch(c*x))^2/b/d-1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d-1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d-1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d-1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d-1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d-1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d-1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d-1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d,1],
[(a+b*arccsch(c*x))/x^2/(e*x^2+d),x,24,b*c*sqrt(1+1/c^2/x^2)/d-a/d/x-b*arccsch(c*x)/d/x+1/2*sqrt(e)*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)-1/2*sqrt(e)*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)+1/2*sqrt(e)*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)-1/2*sqrt(e)*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)-1/2*b*sqrt(e)*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)+1/2*b*sqrt(e)*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)-1/2*b*sqrt(e)*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)+1/2*b*sqrt(e)*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2),1],
[x^5*(a+b*arccsch(c*x))/(e*x^2+d)^2,x,29,1/2*b*sqrt(1+1/c^2/x^2)*x/c/e^2+1/2*d*(a+b*arccsch(c*x))/e^2/(e+d/x^2)+1/2*x^2*(a+b*arccsch(c*x))/e^2-1/2*b*d*arctan(sqrt(c^2*d-e)/c/sqrt(e)/sqrt(1+1/c^2/x^2)/x)/sqrt(c^2*d-e)/e^(5/2)-d*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^3-d*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^3-d*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^3-d*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^3+2*d*(a+b*arccsch(c*x))*ln(1-exp(2*arccsch(c*x)))/e^3-b*d*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^3-b*d*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^3-b*d*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^3-b*d*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^3+b*d*polylog(2,exp(2*arccsch(c*x)))/e^3,1],
[x^3*(a+b*arccsch(c*x))/(e*x^2+d)^2,x,27,-1/2*(a+b*arccsch(c*x))/e/(e+d/x^2)+1/2*b*arctan(sqrt(c^2*d-e)/c/sqrt(e)/sqrt(1+1/c^2/x^2)/x)/sqrt(c^2*d-e)/e^(3/2)+1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^2+1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^2+1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^2+1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^2-(a+b*arccsch(c*x))*ln(1-exp(2*arccsch(c*x)))/e^2+1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^2+1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^2+1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^2+1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^2-1/2*b*polylog(2,exp(2*arccsch(c*x)))/e^2,1],
[x*(a+b*arccsch(c*x))/(e*x^2+d)^2,x,7,-1/2*(a+b*arccsch(c*x))/e/(e*x^2+d)+1/2*b*c*x*arctan(sqrt(-c^2*x^2-1))/d/e/sqrt(-c^2*x^2)+1/2*b*c*x*arctanh(sqrt(e)*sqrt(-c^2*x^2-1)/sqrt(c^2*d-e))/d/sqrt(c^2*d-e)/sqrt(e)/sqrt(-c^2*x^2),1],
[(a+b*arccsch(c*x))/x/(e*x^2+d)^2,x,24,-1/2*e*(a+b*arccsch(c*x))/d^2/(e+d/x^2)+1/2*(a+b*arccsch(c*x))^2/b/d^2+1/2*b*sqrt(e)*arctan(sqrt(c^2*d-e)/c/sqrt(e)/sqrt(1+1/c^2/x^2)/x)/d^2/sqrt(c^2*d-e)-1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d^2-1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d^2-1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d^2-1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d^2-1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d^2-1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d^2-1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d^2-1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d^2,1],
[x^4*(a+b*arccsch(c*x))/(e*x^2+d)^2,x,51,-1/4*d*(a+b*arccsch(c*x))/e^2/(sqrt(-d)*sqrt(e)-d/x)+1/4*d*(a+b*arccsch(c*x))/e^2/(sqrt(-d)*sqrt(e)+d/x)+x*(a+b*arccsch(c*x))/e^2+b*arctanh(sqrt(1+1/c^2/x^2))/c/e^2+1/4*b*sqrt(d)*arctanh((c^2*d-sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/sqrt(c^2*d-e)/e^2+1/4*b*sqrt(d)*arctanh((c^2*d+sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/sqrt(c^2*d-e)/e^2+3/4*sqrt(-d)*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^(5/2)-3/4*sqrt(-d)*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^(5/2)+3/4*sqrt(-d)*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^(5/2)-3/4*sqrt(-d)*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^(5/2)-3/4*b*sqrt(-d)*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^(5/2)+3/4*b*sqrt(-d)*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^(5/2)-3/4*b*sqrt(-d)*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^(5/2)+3/4*b*sqrt(-d)*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^(5/2),1],
[x^2*(a+b*arccsch(c*x))/(e*x^2+d)^2,x,27,1/4*(a+b*arccsch(c*x))/e/(sqrt(-d)*sqrt(e)-d/x)-1/4*(a+b*arccsch(c*x))/e/(sqrt(-d)*sqrt(e)+d/x)-1/4*b*arctanh((c^2*d-sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/sqrt(d)/sqrt(c^2*d-e)/e-1/4*b*arctanh((c^2*d+sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/sqrt(d)/sqrt(c^2*d-e)/e+1/4*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/e^(3/2)-1/4*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/e^(3/2)+1/4*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/e^(3/2)-1/4*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/e^(3/2)-1/4*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/e^(3/2)+1/4*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/e^(3/2)-1/4*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/e^(3/2)+1/4*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/e^(3/2),1],
[(a+b*arccsch(c*x))/(e*x^2+d)^2,x,47,-1/4*(a+b*arccsch(c*x))/d/(sqrt(-d)*sqrt(e)-d/x)+1/4*(a+b*arccsch(c*x))/d/(sqrt(-d)*sqrt(e)+d/x)+1/4*b*arctanh((c^2*d-sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(3/2)/sqrt(c^2*d-e)+1/4*b*arctanh((c^2*d+sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(3/2)/sqrt(c^2*d-e)-1/4*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)+1/4*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)-1/4*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)+1/4*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)+1/4*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)-1/4*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)+1/4*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)-1/4*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e),1],
[(a+b*arccsch(c*x))/x^2/(e*x^2+d)^2,x,50,b*c*sqrt(1+1/c^2/x^2)/d^2-a/d^2/x-b*arccsch(c*x)/d^2/x+1/4*e*(a+b*arccsch(c*x))/d^2/(sqrt(-d)*sqrt(e)-d/x)-1/4*e*(a+b*arccsch(c*x))/d^2/(sqrt(-d)*sqrt(e)+d/x)-1/4*b*e*arctanh((c^2*d-sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(5/2)/sqrt(c^2*d-e)-1/4*b*e*arctanh((c^2*d+sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(5/2)/sqrt(c^2*d-e)-3/4*sqrt(e)*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(5/2)+3/4*sqrt(e)*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(5/2)-3/4*sqrt(e)*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(5/2)+3/4*sqrt(e)*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(5/2)+3/4*b*sqrt(e)*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(5/2)-3/4*b*sqrt(e)*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(5/2)+3/4*b*sqrt(e)*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(5/2)-3/4*b*sqrt(e)*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(5/2),1],
[x^5*(a+b*arccsch(c*x))/(e*x^2+d)^3,x,31,1/8*b*c*d*sqrt(1+1/c^2/x^2)/(c^2*d-e)/e^2/(e+d/x^2)/x-1/4*(a+b*arccsch(c*x))/e/(e+d/x^2)^2-1/2*(a+b*arccsch(c*x))/e^2/(e+d/x^2)+1/8*b*(c^2*d-2*e)*arctan(sqrt(c^2*d-e)/c/sqrt(e)/sqrt(1+1/c^2/x^2)/x)/(c^2*d-e)^(3/2)/e^(5/2)+1/2*b*arctan(sqrt(c^2*d-e)/c/sqrt(e)/sqrt(1+1/c^2/x^2)/x)/sqrt(c^2*d-e)/e^(5/2)+1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^3+1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^3+1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^3+1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^3-(a+b*arccsch(c*x))*ln(1-exp(2*arccsch(c*x)))/e^3+1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^3+1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/e^3+1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^3+1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/e^3-1/2*b*polylog(2,exp(2*arccsch(c*x)))/e^3,1],
[x^3*(a+b*arccsch(c*x))/(e*x^2+d)^3,x,6,-1/8*b*c*x*sqrt(-c^2*x^2-1)/(c^2*d-e)/e/sqrt(-c^2*x^2)/(e*x^2+d)+1/4*x^4*(a+b*arccsch(c*x))/d/(e*x^2+d)^2+1/8*b*c*(c^2*d-2*e)*x*arctanh(sqrt(e)*sqrt(-c^2*x^2-1)/sqrt(c^2*d-e))/d/(c^2*d-e)^(3/2)/e^(3/2)/sqrt(-c^2*x^2),1],
[x*(a+b*arccsch(c*x))/(e*x^2+d)^3,x,8,1/8*b*c*x*sqrt(-c^2*x^2-1)/d/(c^2*d-e)/sqrt(-c^2*x^2)/(e*x^2+d)-1/4*(a+b*arccsch(c*x))/e/(e*x^2+d)^2+1/4*b*c*x*arctan(sqrt(-c^2*x^2-1))/d^2/e/sqrt(-c^2*x^2)+1/8*b*c*(3*c^2*d-2*e)*x*arctanh(sqrt(e)*sqrt(-c^2*x^2-1)/sqrt(c^2*d-e))/d^2/(c^2*d-e)^(3/2)/sqrt(e)/sqrt(-c^2*x^2),1],
[(a+b*arccsch(c*x))/x/(e*x^2+d)^3,x,28,-1/8*b*c*e*sqrt(1+1/c^2/x^2)/d^2/(c^2*d-e)/(e+d/x^2)/x+1/4*e^2*(a+b*arccsch(c*x))/d^3/(e+d/x^2)^2-e*(a+b*arccsch(c*x))/d^3/(e+d/x^2)+1/2*(a+b*arccsch(c*x))^2/b/d^3-1/8*b*(c^2*d-2*e)*sqrt(e)*arctan(sqrt(c^2*d-e)/c/sqrt(e)/sqrt(1+1/c^2/x^2)/x)/d^3/(c^2*d-e)^(3/2)+b*sqrt(e)*arctan(sqrt(c^2*d-e)/c/sqrt(e)/sqrt(1+1/c^2/x^2)/x)/d^3/sqrt(c^2*d-e)-1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d^3-1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d^3-1/2*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d^3-1/2*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d^3-1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d^3-1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/d^3-1/2*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d^3-1/2*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/d^3,1],
[x^4*(a+b*arccsch(c*x))/(e*x^2+d)^3,x,35,-1/16*b*c*sqrt(-d)*sqrt(1+1/c^2/x^2)/(c^2*d-e)/e^(3/2)/(sqrt(-d)*sqrt(e)-d/x)-1/16*b*c*sqrt(-d)*sqrt(1+1/c^2/x^2)/(c^2*d-e)/e^(3/2)/(sqrt(-d)*sqrt(e)+d/x)+1/16*sqrt(-d)*(a+b*arccsch(c*x))/e^(3/2)/(sqrt(-d)*sqrt(e)-d/x)^2+3/16*(a+b*arccsch(c*x))/e^2/(sqrt(-d)*sqrt(e)-d/x)-1/16*sqrt(-d)*(a+b*arccsch(c*x))/e^(3/2)/(sqrt(-d)*sqrt(e)+d/x)^2-3/16*(a+b*arccsch(c*x))/e^2/(sqrt(-d)*sqrt(e)+d/x)-3/16*b*arctanh((c^2*d-sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/sqrt(d)/sqrt(c^2*d-e)/e^2+1/16*b*arctanh((c^2*d-sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/sqrt(d)/(c^2*d-e)^(3/2)/e-3/16*b*arctanh((c^2*d+sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/sqrt(d)/sqrt(c^2*d-e)/e^2+1/16*b*arctanh((c^2*d+sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/sqrt(d)/(c^2*d-e)^(3/2)/e+3/16*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/e^(5/2)-3/16*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/e^(5/2)+3/16*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/e^(5/2)-3/16*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/e^(5/2)-3/16*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/e^(5/2)+3/16*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/sqrt(-d)/e^(5/2)-3/16*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/e^(5/2)+3/16*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/sqrt(-d)/e^(5/2),1],
[x^2*(a+b*arccsch(c*x))/(e*x^2+d)^3,x,63,-1/16*b*c*sqrt(1+1/c^2/x^2)/sqrt(-d)/(c^2*d-e)/sqrt(e)/(sqrt(-d)*sqrt(e)-d/x)-1/16*b*c*sqrt(1+1/c^2/x^2)/sqrt(-d)/(c^2*d-e)/sqrt(e)/(sqrt(-d)*sqrt(e)+d/x)+1/16*(a+b*arccsch(c*x))/sqrt(-d)/sqrt(e)/(sqrt(-d)*sqrt(e)-d/x)^2+1/16*(a+b*arccsch(c*x))/d/e/(sqrt(-d)*sqrt(e)-d/x)-1/16*(a+b*arccsch(c*x))/sqrt(-d)/sqrt(e)/(sqrt(-d)*sqrt(e)+d/x)^2-1/16*(a+b*arccsch(c*x))/d/e/(sqrt(-d)*sqrt(e)+d/x)-1/16*b*arctanh((c^2*d-sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(3/2)/(c^2*d-e)^(3/2)-1/16*b*arctanh((c^2*d-sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(3/2)/sqrt(c^2*d-e)/e-1/16*b*arctanh((c^2*d+sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(3/2)/(c^2*d-e)^(3/2)-1/16*b*arctanh((c^2*d+sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(3/2)/sqrt(c^2*d-e)/e-1/16*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)/e^(3/2)+1/16*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)/e^(3/2)-1/16*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)/e^(3/2)+1/16*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)/e^(3/2)+1/16*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)/e^(3/2)-1/16*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(3/2)/e^(3/2)+1/16*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)/e^(3/2)-1/16*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(3/2)/e^(3/2),1],
[(a+b*arccsch(c*x))/(e*x^2+d)^3,x,81,-1/16*b*c*sqrt(e)*sqrt(1+1/c^2/x^2)/(-d)^(3/2)/(c^2*d-e)/(sqrt(-d)*sqrt(e)-d/x)-1/16*b*c*sqrt(e)*sqrt(1+1/c^2/x^2)/(-d)^(3/2)/(c^2*d-e)/(sqrt(-d)*sqrt(e)+d/x)+1/16*sqrt(e)*(a+b*arccsch(c*x))/(-d)^(3/2)/(sqrt(-d)*sqrt(e)-d/x)^2-5/16*(a+b*arccsch(c*x))/d^2/(sqrt(-d)*sqrt(e)-d/x)-1/16*sqrt(e)*(a+b*arccsch(c*x))/(-d)^(3/2)/(sqrt(-d)*sqrt(e)+d/x)^2+5/16*(a+b*arccsch(c*x))/d^2/(sqrt(-d)*sqrt(e)+d/x)+5/16*b*arctanh((c^2*d-sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(5/2)/sqrt(c^2*d-e)+1/16*b*e*arctanh((c^2*d-sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(5/2)/(c^2*d-e)^(3/2)+5/16*b*arctanh((c^2*d+sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(5/2)/sqrt(c^2*d-e)+1/16*b*e*arctanh((c^2*d+sqrt(-d)*sqrt(e)/x)/c/sqrt(d)/sqrt(c^2*d-e)/sqrt(1+1/c^2/x^2))/d^(5/2)/(c^2*d-e)^(3/2)+3/16*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(5/2)/sqrt(e)-3/16*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(5/2)/sqrt(e)+3/16*(a+b*arccsch(c*x))*ln(1-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(5/2)/sqrt(e)-3/16*(a+b*arccsch(c*x))*ln(1+c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(5/2)/sqrt(e)-3/16*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(5/2)/sqrt(e)+3/16*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)-sqrt(-c^2*d+e)))/(-d)^(5/2)/sqrt(e)-3/16*b*polylog(2,-c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(5/2)/sqrt(e)+3/16*b*polylog(2,c*sqrt(-d)*exp(arccsch(c*x))/(sqrt(e)+sqrt(-c^2*d+e)))/(-d)^(5/2)/sqrt(e),1],
[x^5*sqrt(e*x^2+d)*(a+b*arccsch(c*x)),x,11,-1/1680*b*(23*c^4*d^2-12*c^2*d*e-75*e^2)*x*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/c^5/e^2/sqrt(-c^2*x^2)-1/840*b*(29*c^2*d+25*e)*x*sqrt(-c^2*x^2-1)*(e*x^2+d)^(3/2)/c^3/e^2/sqrt(-c^2*x^2)+1/42*b*x*sqrt(-c^2*x^2-1)*(e*x^2+d)^(5/2)/c/e^2/sqrt(-c^2*x^2)+1/3*d^2*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/e^3-2/5*d*(e*x^2+d)^(5/2)*(a+b*arccsch(c*x))/e^3+1/7*(e*x^2+d)^(7/2)*(a+b*arccsch(c*x))/e^3+1/1680*b*(105*c^6*d^3+35*c^4*d^2*e+63*c^2*d*e^2-75*e^3)*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/c^6/e^(5/2)/sqrt(-c^2*x^2)+8/105*b*c*d^(7/2)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e^3/sqrt(-c^2*x^2),1],
[x^3*sqrt(e*x^2+d)*(a+b*arccsch(c*x)),x,10,1/120*b*(c^2*d-9*e)*x*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/c^3/e/sqrt(-c^2*x^2)+1/20*b*x*sqrt(-c^2*x^2-1)*(e*x^2+d)^(3/2)/c/e/sqrt(-c^2*x^2)-1/3*d*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/e^2+1/5*(e*x^2+d)^(5/2)*(a+b*arccsch(c*x))/e^2-1/120*b*(15*c^4*d^2+10*c^2*d*e-9*e^2)*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/c^4/e^(3/2)/sqrt(-c^2*x^2)-2/15*b*c*d^(5/2)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e^2/sqrt(-c^2*x^2),1],
[x*sqrt(e*x^2+d)*(a+b*arccsch(c*x)),x,8,1/6*b*x*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/c/sqrt(-c^2*x^2)+1/3*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/e+1/6*b*(3*c^2*d-e)*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/c^2/sqrt(e)/sqrt(-c^2*x^2)+1/3*b*c*d^(3/2)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e/sqrt(-c^2*x^2),1],
[sqrt(e*x^2+d)*(a+b*arccsch(c*x))/x,x,0,Defer(Int)(sqrt(e*x^2+d)*(a+b*arccsch(c*x))/x,x),0],
[sqrt(e*x^2+d)*(a+b*arccsch(c*x))/x^3,x,0,Defer(Int)(sqrt(e*x^2+d)*(a+b*arccsch(c*x))/x^3,x),0],
[x^2*sqrt(e*x^2+d)*(a+b*arccsch(c*x)),x,0,Defer(Int)(x^2*sqrt(e*x^2+d)*(a+b*arccsch(c*x)),x),0],
[sqrt(e*x^2+d)*(a+b*arccsch(c*x)),x,0,Defer(Int)(sqrt(e*x^2+d)*(a+b*arccsch(c*x)),x),0],
[sqrt(e*x^2+d)*(a+b*arccsch(c*x))/x^2,x,0,Defer(Int)(sqrt(e*x^2+d)*(a+b*arccsch(c*x))/x^2,x),0],
[sqrt(e*x^2+d)*(a+b*arccsch(c*x))/x^4,x,5,2/9*b*c*(c^2*d-2*e)*sqrt(e*x^2+d)/d/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)+1/9*b*c*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/x^2/sqrt(-c^2*x^2)-1/3*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/d/x^3+2/9*b*c^2*(c^2*d-2*e)*x*sqrt(e*x^2+d)*EllipticE(sin(arctan(c*x)),sqrt(1-e/c^2/d))/d/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1))-1/9*b*(c^2*d-3*e)*e*x*sqrt(e*x^2+d)*InverseJacobiAM(arctan(c*x),sqrt(1-e/c^2/d))/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1)),1],
[sqrt(e*x^2+d)*(a+b*arccsch(c*x))/x^6,x,6,-1/225*b*c*(24*c^4*d^2-19*c^2*d*e-31*e^2)*sqrt(e*x^2+d)/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)-1/225*b*c*(12*c^2*d+e)*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/d/x^2/sqrt(-c^2*x^2)+1/25*b*c*sqrt(-c^2*x^2-1)*(e*x^2+d)^(3/2)/d/x^4/sqrt(-c^2*x^2)-1/5*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/d/x^5+2/15*e*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/d^2/x^3-1/225*b*c^2*(24*c^4*d^2-19*c^2*d*e-31*e^2)*x*sqrt(e*x^2+d)*EllipticE(sin(arctan(c*x)),sqrt(1-e/c^2/d))/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1))+2/225*b*e*(6*c^4*d^2-4*c^2*d*e-15*e^2)*x*sqrt(e*x^2+d)*InverseJacobiAM(arctan(c*x),sqrt(1-e/c^2/d))/d^3/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1)),1],
[x^3*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x,11,-1/560*b*(3*c^4*d^2+38*c^2*d*e-25*e^2)*x*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/c^5/e/sqrt(-c^2*x^2)+1/840*b*(13*c^2*d-25*e)*x*sqrt(-c^2*x^2-1)*(e*x^2+d)^(3/2)/c^3/e/sqrt(-c^2*x^2)+1/42*b*x*sqrt(-c^2*x^2-1)*(e*x^2+d)^(5/2)/c/e/sqrt(-c^2*x^2)-1/5*d*(e*x^2+d)^(5/2)*(a+b*arccsch(c*x))/e^2+1/7*(e*x^2+d)^(7/2)*(a+b*arccsch(c*x))/e^2-1/560*b*(35*c^6*d^3+35*c^4*d^2*e-63*c^2*d*e^2+25*e^3)*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/c^6/e^(3/2)/sqrt(-c^2*x^2)-2/35*b*c*d^(7/2)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e^2/sqrt(-c^2*x^2),1],
[x*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x,9,1/40*b*(7*c^2*d-3*e)*x*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/c^3/sqrt(-c^2*x^2)+1/20*b*x*sqrt(-c^2*x^2-1)*(e*x^2+d)^(3/2)/c/sqrt(-c^2*x^2)+1/5*(e*x^2+d)^(5/2)*(a+b*arccsch(c*x))/e+1/40*b*(15*c^4*d^2-10*c^2*d*e+3*e^2)*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/c^4/sqrt(e)/sqrt(-c^2*x^2)+1/5*b*c*d^(5/2)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e/sqrt(-c^2*x^2),1],
[(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x,x,0,Defer(Int)((e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x,x),0],
[(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^3,x,0,Defer(Int)((e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^3,x),0],
[x^2*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x,0,Defer(Int)(x^2*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x),0],
[(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x,0,Defer(Int)((e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x),0],
[(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^2,x,0,Defer(Int)((e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^2,x),0],
[(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^4,x,0,Defer(Int)((e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^4,x),0],
[(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^6,x,6,-1/75*b*c*(8*c^4*d^2-23*c^2*d*e+23*e^2)*sqrt(e*x^2+d)/d/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)-4/75*b*c*(c^2*d-2*e)*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/x^2/sqrt(-c^2*x^2)+1/25*b*c*sqrt(-c^2*x^2-1)*(e*x^2+d)^(3/2)/x^4/sqrt(-c^2*x^2)-1/5*(e*x^2+d)^(5/2)*(a+b*arccsch(c*x))/d/x^5-1/75*b*c^2*(8*c^4*d^2-23*c^2*d*e+23*e^2)*x*sqrt(e*x^2+d)*EllipticE(sin(arctan(c*x)),sqrt(1-e/c^2/d))/d/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1))+1/75*b*e*(4*c^4*d^2-11*c^2*d*e+15*e^2)*x*sqrt(e*x^2+d)*InverseJacobiAM(arctan(c*x),sqrt(1-e/c^2/d))/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1)),1],
[(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/x^8,x,7,1/3675*b*c*(240*c^6*d^3-528*c^4*d^2*e+193*c^2*d*e^2+247*e^3)*sqrt(e*x^2+d)/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)+1/3675*b*c*(120*c^4*d^2-159*c^2*d*e-37*e^2)*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/d/x^2/sqrt(-c^2*x^2)-1/1225*b*c*(30*c^2*d-11*e)*sqrt(-c^2*x^2-1)*(e*x^2+d)^(3/2)/d/x^4/sqrt(-c^2*x^2)+1/49*b*c*sqrt(-c^2*x^2-1)*(e*x^2+d)^(5/2)/d/x^6/sqrt(-c^2*x^2)-1/7*(e*x^2+d)^(5/2)*(a+b*arccsch(c*x))/d/x^7+2/35*e*(e*x^2+d)^(5/2)*(a+b*arccsch(c*x))/d^2/x^5+1/3675*b*c^2*(240*c^6*d^3-528*c^4*d^2*e+193*c^2*d*e^2+247*e^3)*x*sqrt(e*x^2+d)*EllipticE(sin(arctan(c*x)),sqrt(1-e/c^2/d))/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1))-1/3675*b*e*(120*c^6*d^3-249*c^4*d^2*e+71*c^2*d*e^2+210*e^3)*x*sqrt(e*x^2+d)*InverseJacobiAM(arctan(c*x),sqrt(1-e/c^2/d))/d^3/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1)),1],
[x^5*(a+b*arccsch(c*x))/sqrt(e*x^2+d),x,10,-1/120*b*(19*c^2*d+9*e)*x*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/c^3/e^2/sqrt(-c^2*x^2)+1/20*b*x*sqrt(-c^2*x^2-1)*(e*x^2+d)^(3/2)/c/e^2/sqrt(-c^2*x^2)+d^2*sqrt(e*x^2+d)*(a+b*arccsch(c*x))/e^3-2/3*d*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/e^3+1/5*(e*x^2+d)^(5/2)*(a+b*arccsch(c*x))/e^3+1/120*b*(45*c^4*d^2+10*c^2*d*e+9*e^2)*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/c^4/e^(5/2)/sqrt(-c^2*x^2)+8/15*b*c*d^(5/2)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e^3/sqrt(-c^2*x^2),1],
[x^3*(a+b*arccsch(c*x))/sqrt(e*x^2+d),x,9,1/6*b*x*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/c/e/sqrt(-c^2*x^2)-d*sqrt(e*x^2+d)*(a+b*arccsch(c*x))/e^2+1/3*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/e^2-1/6*b*(3*c^2*d+e)*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/c^2/e^(3/2)/sqrt(-c^2*x^2)-2/3*b*c*d^(3/2)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e^2/sqrt(-c^2*x^2),1],
[x*(a+b*arccsch(c*x))/sqrt(e*x^2+d),x,8,sqrt(e*x^2+d)*(a+b*arccsch(c*x))/e+b*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/sqrt(e)/sqrt(-c^2*x^2)+b*c*sqrt(d)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e/sqrt(-c^2*x^2),1],
[(a+b*arccsch(c*x))/x/sqrt(e*x^2+d),x,0,Defer(Int)((a+b*arccsch(c*x))/x/sqrt(e*x^2+d),x),0],
[(a+b*arccsch(c*x))/x^3/sqrt(e*x^2+d),x,0,Defer(Int)((a+b*arccsch(c*x))/x^3/sqrt(e*x^2+d),x),0],
[x^2*(a+b*arccsch(c*x))/sqrt(e*x^2+d),x,0,Defer(Int)(x^2*(a+b*arccsch(c*x))/sqrt(e*x^2+d),x),0],
[(a+b*arccsch(c*x))/sqrt(e*x^2+d),x,0,Defer(Int)((a+b*arccsch(c*x))/sqrt(e*x^2+d),x),0],
[(a+b*arccsch(c*x))/x^2/sqrt(e*x^2+d),x,4,-b*c*sqrt(e*x^2+d)/d/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)-sqrt(e*x^2+d)*(a+b*arccsch(c*x))/d/x-b*c^2*x*sqrt(e*x^2+d)*EllipticE(sin(arctan(c*x)),sqrt(1-e/c^2/d))/d/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1))+b*e*x*sqrt(e*x^2+d)*InverseJacobiAM(arctan(c*x),sqrt(1-e/c^2/d))/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1)),1],
[(a+b*arccsch(c*x))/x^4/sqrt(e*x^2+d),x,5,1/9*b*c*(2*c^2*d+5*e)*sqrt(e*x^2+d)/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)+1/9*b*c*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/d/x^2/sqrt(-c^2*x^2)-1/3*sqrt(e*x^2+d)*(a+b*arccsch(c*x))/d/x^3+2/3*e*sqrt(e*x^2+d)*(a+b*arccsch(c*x))/d^2/x+1/9*b*c^2*(2*c^2*d+5*e)*x*sqrt(e*x^2+d)*EllipticE(sin(arctan(c*x)),sqrt(1-e/c^2/d))/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1))-1/9*b*e*(c^2*d+6*e)*x*sqrt(e*x^2+d)*InverseJacobiAM(arctan(c*x),sqrt(1-e/c^2/d))/d^3/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1)),1],
[x^5*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x,9,1/6*b*x*sqrt(-c^2*x^2-1)*sqrt(e*x^2+d)/c/e^2/sqrt(-c^2*x^2)-d^2*(a+b*arccsch(c*x))/e^3/sqrt(e*x^2+d)-2*d*sqrt(e*x^2+d)*(a+b*arccsch(c*x))/e^3+1/3*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x))/e^3-1/6*b*(9*c^2*d+e)*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/c^2/e^(5/2)/sqrt(-c^2*x^2)-8/3*b*c*d^(3/2)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e^3/sqrt(-c^2*x^2),1],
[x^3*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x,8,d*(a+b*arccsch(c*x))/e^2/sqrt(e*x^2+d)+sqrt(e*x^2+d)*(a+b*arccsch(c*x))/e^2+b*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/e^(3/2)/sqrt(-c^2*x^2)+2*b*c*sqrt(d)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e^2/sqrt(-c^2*x^2),1],
[x*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x,4,-(a+b*arccsch(c*x))/e/sqrt(e*x^2+d)-b*c*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/sqrt(d)/e/sqrt(-c^2*x^2),1],
[(a+b*arccsch(c*x))/x/(e*x^2+d)^(3/2),x,0,Defer(Int)((a+b*arccsch(c*x))/x/(e*x^2+d)^(3/2),x),0],
[(a+b*arccsch(c*x))/x^3/(e*x^2+d)^(3/2),x,0,Defer(Int)((a+b*arccsch(c*x))/x^3/(e*x^2+d)^(3/2),x),0],
[x^4*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x,0,Defer(Int)(x^4*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x),0],
[x^2*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x,0,Defer(Int)(x^2*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x),0],
[(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x,3,x*(a+b*arccsch(c*x))/d/sqrt(e*x^2+d)-b*x*sqrt(e*x^2+d)*InverseJacobiAM(arctan(c*x),sqrt(1-e/c^2/d))/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1)),1],
[(a+b*arccsch(c*x))/x^2/(e*x^2+d)^(3/2),x,4,-b*c*sqrt(e*x^2+d)/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)+(a+b*arccsch(c*x))/d/x/sqrt(e*x^2+d)-2*sqrt(e*x^2+d)*(a+b*arccsch(c*x))/d^2/x-b*c^2*x*sqrt(e*x^2+d)*EllipticE(sin(arctan(c*x)),sqrt(1-e/c^2/d))/d^2/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1))+2*b*e*x*sqrt(e*x^2+d)*InverseJacobiAM(arctan(c*x),sqrt(1-e/c^2/d))/d^3/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)/sqrt((e*x^2+d)/d/(c^2*x^2+1)),1],
[x^5*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x,9,1/3*b*c*d*x*sqrt(-c^2*x^2-1)/(c^2*d-e)/e^2/sqrt(-c^2*x^2)/sqrt(e*x^2+d)-1/3*d^2*(a+b*arccsch(c*x))/e^3/(e*x^2+d)^(3/2)+2*d*(a+b*arccsch(c*x))/e^3/sqrt(e*x^2+d)+sqrt(e*x^2+d)*(a+b*arccsch(c*x))/e^3+b*x*arctan(sqrt(e)*sqrt(-c^2*x^2-1)/c/sqrt(e*x^2+d))/e^(5/2)/sqrt(-c^2*x^2)+8/3*b*c*sqrt(d)*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/e^3/sqrt(-c^2*x^2),1],
[x^3*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x,7,-1/3*b*c*x*sqrt(-c^2*x^2-1)/(c^2*d-e)/e/sqrt(-c^2*x^2)/sqrt(e*x^2+d)+1/3*d*(a+b*arccsch(c*x))/e^2/(e*x^2+d)^(3/2)-(a+b*arccsch(c*x))/e^2/sqrt(e*x^2+d)-2/3*b*c*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/sqrt(d)/e^2/sqrt(-c^2*x^2),1],
[x*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x,6,1/3*b*c*x*sqrt(-c^2*x^2-1)/d/(c^2*d-e)/sqrt(-c^2*x^2)/sqrt(e*x^2+d)-1/3*(a+b*arccsch(c*x))/e/(e*x^2+d)^(3/2)-1/3*b*c*x*arctan(sqrt(e*x^2+d)/sqrt(d)/sqrt(-c^2*x^2-1))/d^(3/2)/e/sqrt(-c^2*x^2),1],
[(a+b*arccsch(c*x))/x/(e*x^2+d)^(5/2),x,0,Defer(Int)((a+b*arccsch(c*x))/x/(e*x^2+d)^(5/2),x),0],
[(a+b*arccsch(c*x))/x^3/(e*x^2+d)^(5/2),x,0,Defer(Int)((a+b*arccsch(c*x))/x^3/(e*x^2+d)^(5/2),x),0],
[x^6*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x,0,Defer(Int)(x^6*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x),0],
[x^4*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x,0,Defer(Int)(x^4*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x),0],
[x^2*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x,3,1/3*x^3*(a+b*arccsch(c*x))/d/(e*x^2+d)^(3/2)+1/3*b*c*x*sqrt(-c^2*x^2-1)*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(1-c^2*d/e))/sqrt(d)/(c^2*d-e)/sqrt(e)/sqrt(-c^2*x^2)/sqrt(d*(c^2*x^2+1)/(e*x^2+d))/sqrt(e*x^2+d)-1/3*b*c*x*sqrt(-c^2*x^2-1)*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(1-c^2*d/e))/sqrt(d)/(c^2*d-e)/sqrt(e)/sqrt(-c^2*x^2)/sqrt(d*(c^2*x^2+1)/(e*x^2+d))/sqrt(e*x^2+d),1],
[(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x,3,1/3*x*(a+b*arccsch(c*x))/d/(e*x^2+d)^(3/2)+2/3*x*(a+b*arccsch(c*x))/d^2/sqrt(e*x^2+d)-1/3*b*c*sqrt(e)*x*sqrt(-c^2*x^2-1)*EllipticE(sin(arctan(sqrt(e)*x/sqrt(d))),sqrt(1-c^2*d/e))/d^(3/2)/(c^2*d-e)/sqrt(-c^2*x^2)/sqrt(d*(c^2*x^2+1)/(e*x^2+d))/sqrt(e*x^2+d)+1/3*b*c*(3*c^2*d-2*e)*x*sqrt(-c^2*x^2-1)*InverseJacobiAM(arctan(sqrt(e)*x/sqrt(d)),sqrt(1-c^2*d/e))/d^(3/2)/(c^2*d-e)/sqrt(e)/sqrt(-c^2*x^2)/sqrt(d*(c^2*x^2+1)/(e*x^2+d))/sqrt(e*x^2+d),1],
[(f*x)^m*(e*x^2+d)^3*(a+b*arccsch(c*x)),x,7,b*e*(e^2*(m^2+8*m+15)^2-3*c^2*d*e*(3+m)^2*(m^2+13*m+42)+3*c^4*d^2*(m^4+22*m^3+179*m^2+638*m+840))*x*(f*x)^(1+m)*sqrt(-c^2*x^2-1)/c^5/f/(2+m)/(3+m)/(4+m)/(5+m)/(6+m)/(7+m)/sqrt(-c^2*x^2)-b*e^2*(e*(5+m)^2-3*c^2*d*(m^2+13*m+42))*x*(f*x)^(3+m)*sqrt(-c^2*x^2-1)/c^3/f^3/(4+m)/(5+m)/(6+m)/(7+m)/sqrt(-c^2*x^2)+b*e^3*x*(f*x)^(5+m)*sqrt(-c^2*x^2-1)/c/f^5/(6+m)/(7+m)/sqrt(-c^2*x^2)+d^3*(f*x)^(1+m)*(a+b*arccsch(c*x))/f/(1+m)+3*d^2*e*(f*x)^(3+m)*(a+b*arccsch(c*x))/f^3/(3+m)+3*d*e^2*(f*x)^(5+m)*(a+b*arccsch(c*x))/f^5/(5+m)+e^3*(f*x)^(7+m)*(a+b*arccsch(c*x))/f^7/(7+m)-b*(c^6*d^3*(2+m)*(4+m)*(6+m)/(1+m)-e*(1+m)*(e^2*(m^2+8*m+15)^2-3*c^2*d*e*(3+m)^2*(m^2+13*m+42)+3*c^4*d^2*(m^4+22*m^3+179*m^2+638*m+840))/(3+m)/(5+m)/(7+m))*x*(f*x)^(1+m)*sqrt(c^2*x^2+1)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-c^2*x^2)/c^5/f/(1+m)/(2+m)/(4+m)/(6+m)/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1),1],
[(f*x)^m*(e*x^2+d)^2*(a+b*arccsch(c*x)),x,7,-b*e*(e*(3+m)^2-2*c^2*d*(m^2+9*m+20))*x*(f*x)^(1+m)*sqrt(-c^2*x^2-1)/c^3/f/(2+m)/(3+m)/(4+m)/(5+m)/sqrt(-c^2*x^2)+b*e^2*x*(f*x)^(3+m)*sqrt(-c^2*x^2-1)/c/f^3/(4+m)/(5+m)/sqrt(-c^2*x^2)+d^2*(f*x)^(1+m)*(a+b*arccsch(c*x))/f/(1+m)+2*d*e*(f*x)^(3+m)*(a+b*arccsch(c*x))/f^3/(3+m)+e^2*(f*x)^(5+m)*(a+b*arccsch(c*x))/f^5/(5+m)-b*(c^4*d^2*(2+m)*(3+m)*(4+m)*(5+m)+e*(1+m)^2*(e*(3+m)^2-2*c^2*d*(m^2+9*m+20)))*x*(f*x)^(1+m)*sqrt(c^2*x^2+1)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-c^2*x^2)/c^3/f/(1+m)^2/(2+m)/(3+m)/(4+m)/(5+m)/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1),1],
[(f*x)^m*(e*x^2+d)*(a+b*arccsch(c*x)),x,6,b*e*x*(f*x)^(1+m)*sqrt(-c^2*x^2-1)/c/f/(m^2+5*m+6)/sqrt(-c^2*x^2)+d*(f*x)^(1+m)*(a+b*arccsch(c*x))/f/(1+m)+e*(f*x)^(3+m)*(a+b*arccsch(c*x))/f^3/(3+m)+b*(e*(1+m)^2-c^2*d*(2+m)*(3+m))*x*(f*x)^(1+m)*sqrt(c^2*x^2+1)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-c^2*x^2)/c/f/(1+m)^2/(2+m)/(3+m)/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1),1],
[(f*x)^m*(a+b*arccsch(c*x))/(e*x^2+d),x,0,Defer(Int)((f*x)^m*(a+b*arccsch(c*x))/(e*x^2+d),x),0],
[(f*x)^m*(a+b*arccsch(c*x))/(e*x^2+d)^2,x,0,Defer(Int)((f*x)^m*(a+b*arccsch(c*x))/(e*x^2+d)^2,x),0],
[(f*x)^m*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x,0,Defer(Int)((f*x)^m*(e*x^2+d)^(3/2)*(a+b*arccsch(c*x)),x),0],
[(f*x)^m*sqrt(e*x^2+d)*(a+b*arccsch(c*x)),x,0,Defer(Int)((f*x)^m*sqrt(e*x^2+d)*(a+b*arccsch(c*x)),x),0],
[(f*x)^m*(a+b*arccsch(c*x))/sqrt(e*x^2+d),x,0,Defer(Int)((f*x)^m*(a+b*arccsch(c*x))/sqrt(e*x^2+d),x),0],
[(f*x)^m*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x,0,Defer(Int)((f*x)^m*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x),0],
[x^11*(a+b*arccsch(c*x))/sqrt(-c^4*x^4+1),x,9,-4/15*b*sqrt(-c^2*x^2+1)*sqrt(c^2*x^2+1)/c^13/sqrt(1+1/c^2/x^2)/x+7/90*b*(-c^2*x^2+1)^(3/2)*sqrt(c^2*x^2+1)/c^13/sqrt(1+1/c^2/x^2)/x-13/150*b*(-c^2*x^2+1)^(5/2)*sqrt(c^2*x^2+1)/c^13/sqrt(1+1/c^2/x^2)/x+3/70*b*(-c^2*x^2+1)^(7/2)*sqrt(c^2*x^2+1)/c^13/sqrt(1+1/c^2/x^2)/x-1/90*b*(-c^2*x^2+1)^(9/2)*sqrt(c^2*x^2+1)/c^13/sqrt(1+1/c^2/x^2)/x-1/2*sqrt(-c^4*x^4+1)*(a+b*arccsch(c*x))/c^12+1/3*(-c^4*x^4+1)^(3/2)*(a+b*arccsch(c*x))/c^12-1/10*(-c^4*x^4+1)^(5/2)*(a+b*arccsch(c*x))/c^12+4/15*b*sqrt(c^2*x^2+1)*arctanh(sqrt(-c^2*x^2+1))/c^13/sqrt(1+1/c^2/x^2)/x,1],
[x^7*(a+b*arccsch(c*x))/sqrt(-c^4*x^4+1),x,9,-1/3*b*sqrt(-c^2*x^2+1)*sqrt(c^2*x^2+1)/c^9/sqrt(1+1/c^2/x^2)/x+1/18*b*(-c^2*x^2+1)^(3/2)*sqrt(c^2*x^2+1)/c^9/sqrt(1+1/c^2/x^2)/x-1/30*b*(-c^2*x^2+1)^(5/2)*sqrt(c^2*x^2+1)/c^9/sqrt(1+1/c^2/x^2)/x-1/2*sqrt(-c^4*x^4+1)*(a+b*arccsch(c*x))/c^8+1/6*(-c^4*x^4+1)^(3/2)*(a+b*arccsch(c*x))/c^8+1/3*b*sqrt(c^2*x^2+1)*arctanh(sqrt(-c^2*x^2+1))/c^9/sqrt(1+1/c^2/x^2)/x,1],
[x^3*(a+b*arccsch(c*x))/sqrt(-c^4*x^4+1),x,8,1/2*b*x*sqrt(-c^4*x^4+1)/c^3/sqrt(-c^2*x^2)/sqrt(-c^2*x^2-1)-1/2*sqrt(-c^4*x^4+1)*(a+b*arccsch(c*x))/c^4-1/2*b*x*arctan(sqrt(-c^4*x^4+1)/sqrt(-c^2*x^2-1))/c^3/sqrt(-c^2*x^2),1],
[(a+b*arccsch(c*x))/x/sqrt(-c^4*x^4+1),x,0,Defer(Int)((a+b*arccsch(c*x))/x/sqrt(-c^4*x^4+1),x),0],
[(a+b*arccsch(c*x))/x^5/sqrt(-c^4*x^4+1),x,0,Defer(Int)((a+b*arccsch(c*x))/x^5/sqrt(-c^4*x^4+1),x),0]]: