lst:=[[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,7,-16/35*b*d^3*sqrt(c*x-1)*sqrt(c*x+1)/c+8/105*b*d^3*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c-6/175*b*d^3*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c+1/49*b*d^3*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c+d^3*x*(a+b*arccosh(c*x))-c^2*d^3*x^3*(a+b*arccosh(c*x))+3/5*c^4*d^3*x^5*(a+b*arccosh(c*x))-1/7*c^6*d^3*x^7*(a+b*arccosh(c*x)),1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,7,-8/15*b*d^2*sqrt(c*x-1)*sqrt(c*x+1)/c+4/45*b*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c-1/25*b*d^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c+d^2*x*(a+b*arccosh(c*x))-2/3*c^2*d^2*x^3*(a+b*arccosh(c*x))+1/5*c^4*d^2*x^5*(a+b*arccosh(c*x)),1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,5,-7/9*b*d*sqrt(c*x-1)*sqrt(c*x+1)/c+1/9*b*c*d*x^2*sqrt(c*x-1)*sqrt(c*x+1)+d*x*(a+b*arccosh(c*x))-1/3*c^2*d*x^3*(a+b*arccosh(c*x)),1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,4,2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c/d+b*polylog(2,-exp(arccosh(c*x)))/c/d-b*polylog(2,exp(arccosh(c*x)))/c/d,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,6,-1/2*b/c/d^2/sqrt(c*x-1)/sqrt(c*x+1)+1/2*x*(a+b*arccosh(c*x))/d^2/(-c^2*x^2+1)+(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c/d^2+1/2*b*polylog(2,-exp(arccosh(c*x)))/c/d^2-1/2*b*polylog(2,exp(arccosh(c*x)))/c/d^2,1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,8,1/12*b/c/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)-3/8*b/c/d^3/sqrt(c*x-1)/sqrt(c*x+1)+1/4*x*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)^2+3/8*x*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)+3/4*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c/d^3+3/8*b*polylog(2,-exp(arccosh(c*x)))/c/d^3-3/8*b*polylog(2,exp(arccosh(c*x)))/c/d^3,1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))^2,x,14,4322/3675*b^2*d^3*x-1514/11025*b^2*c^2*d^3*x^3+234/6125*b^2*c^4*d^3*x^5-2/343*b^2*c^6*d^3*x^7-32/35*b*d^3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c+16/105*b*d^3*(c*x-1)^(3/2)*(c*x+1)^(3/2)*(a+b*arccosh(c*x))/c-12/175*b*d^3*(c*x-1)^(5/2)*(c*x+1)^(5/2)*(a+b*arccosh(c*x))/c+2/49*b*d^3*(c*x-1)^(7/2)*(c*x+1)^(7/2)*(a+b*arccosh(c*x))/c+16/35*d^3*x*(a+b*arccosh(c*x))^2+8/35*d^3*x*(-c^2*x^2+1)*(a+b*arccosh(c*x))^2+6/35*d^3*x*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))^2+1/7*d^3*x*(-c^2*x^2+1)^3*(a+b*arccosh(c*x))^2,1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))^2,x,10,298/225*b^2*d^2*x-76/675*b^2*c^2*d^2*x^3+2/125*b^2*c^4*d^2*x^5-16/15*b*d^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c+8/45*b*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)*(a+b*arccosh(c*x))/c-2/25*b*d^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)*(a+b*arccosh(c*x))/c+8/15*d^2*x*(a+b*arccosh(c*x))^2+4/15*d^2*x*(-c^2*x^2+1)*(a+b*arccosh(c*x))^2+1/5*d^2*x*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))^2,1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2,x,6,14/9*b^2*d*x-2/27*b^2*c^2*d*x^3-4/3*b*d*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c+2/9*b*d*(c*x-1)^(3/2)*(c*x+1)^(3/2)*(a+b*arccosh(c*x))/c+2/3*d*x*(a+b*arccosh(c*x))^2+1/3*d*x*(-c^2*x^2+1)*(a+b*arccosh(c*x))^2,1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d),x,6,2*(a+b*arccosh(c*x))^2*arctanh(exp(arccosh(c*x)))/c/d+2*b*(a+b*arccosh(c*x))*polylog(2,-exp(arccosh(c*x)))/c/d-2*b*(a+b*arccosh(c*x))*polylog(2,exp(arccosh(c*x)))/c/d-2*b^2*polylog(3,-exp(arccosh(c*x)))/c/d+2*b^2*polylog(3,exp(arccosh(c*x)))/c/d,1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^2,x,9,-b*(a+b*arccosh(c*x))/c/d^2/sqrt(c*x-1)/sqrt(c*x+1)+1/2*x*(a+b*arccosh(c*x))^2/d^2/(-c^2*x^2+1)+(a+b*arccosh(c*x))^2*arctanh(exp(arccosh(c*x)))/c/d^2-b^2*arctanh(c*x)/c/d^2+b*(a+b*arccosh(c*x))*polylog(2,-exp(arccosh(c*x)))/c/d^2-b*(a+b*arccosh(c*x))*polylog(2,exp(arccosh(c*x)))/c/d^2-b^2*polylog(3,-exp(arccosh(c*x)))/c/d^2+b^2*polylog(3,exp(arccosh(c*x)))/c/d^2,1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^3,x,13,-1/12*b^2*x/d^3/(-c^2*x^2+1)+1/6*b*(a+b*arccosh(c*x))/c/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)-3/4*b*(a+b*arccosh(c*x))/c/d^3/sqrt(c*x-1)/sqrt(c*x+1)+1/4*x*(a+b*arccosh(c*x))^2/d^3/(-c^2*x^2+1)^2+3/8*x*(a+b*arccosh(c*x))^2/d^3/(-c^2*x^2+1)+3/4*(a+b*arccosh(c*x))^2*arctanh(exp(arccosh(c*x)))/c/d^3-5/6*b^2*arctanh(c*x)/c/d^3+3/4*b*(a+b*arccosh(c*x))*polylog(2,-exp(arccosh(c*x)))/c/d^3-3/4*b*(a+b*arccosh(c*x))*polylog(2,exp(arccosh(c*x)))/c/d^3-3/4*b^2*polylog(3,-exp(arccosh(c*x)))/c/d^3+3/4*b^2*polylog(3,exp(arccosh(c*x)))/c/d^3,1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))^3,x,27,-1259536/385875*b^3*d^3*sqrt(c*x-1)*sqrt(c*x+1)/c+16/315*b^3*c*d^3*x^2*sqrt(c*x-1)*sqrt(c*x+1)+1184/42875*b^3*d^3*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c-2664/214375*b^3*d^3*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c+6/2401*b^3*d^3*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c+4322/1225*b^2*d^3*x*(a+b*arccosh(c*x))-1514/3675*b^2*c^2*d^3*x^3*(a+b*arccosh(c*x))+702/6125*b^2*c^4*d^3*x^5*(a+b*arccosh(c*x))-6/343*b^2*c^6*d^3*x^7*(a+b*arccosh(c*x))-48/35*b*d^3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/c+8/35*b*d^3*(c*x-1)^(3/2)*(c*x+1)^(3/2)*(a+b*arccosh(c*x))^2/c-18/175*b*d^3*(c*x-1)^(5/2)*(c*x+1)^(5/2)*(a+b*arccosh(c*x))^2/c+3/49*b*d^3*(c*x-1)^(7/2)*(c*x+1)^(7/2)*(a+b*arccosh(c*x))^2/c+16/35*d^3*x*(a+b*arccosh(c*x))^3+8/35*d^3*x*(-c^2*x^2+1)*(a+b*arccosh(c*x))^3+6/35*d^3*x*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))^3+1/7*d^3*x*(-c^2*x^2+1)^3*(a+b*arccosh(c*x))^3,1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))^3,x,18,-12632/3375*b^3*d^2*sqrt(c*x-1)*sqrt(c*x+1)/c+8/135*b^3*c*d^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)+8/375*b^3*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c-6/625*b^3*d^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c+298/75*b^2*d^2*x*(a+b*arccosh(c*x))-76/225*b^2*c^2*d^2*x^3*(a+b*arccosh(c*x))+6/125*b^2*c^4*d^2*x^5*(a+b*arccosh(c*x))-8/5*b*d^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/c+4/15*b*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)*(a+b*arccosh(c*x))^2/c-3/25*b*d^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)*(a+b*arccosh(c*x))^2/c+8/15*d^2*x*(a+b*arccosh(c*x))^3+4/15*d^2*x*(-c^2*x^2+1)*(a+b*arccosh(c*x))^3+1/5*d^2*x*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))^3,1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3,x,9,-122/27*b^3*d*sqrt(c*x-1)*sqrt(c*x+1)/c+2/27*b^3*c*d*x^2*sqrt(c*x-1)*sqrt(c*x+1)+14/3*b^2*d*x*(a+b*arccosh(c*x))-2/9*b^2*c^2*d*x^3*(a+b*arccosh(c*x))-2*b*d*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/c+1/3*b*d*(c*x-1)^(3/2)*(c*x+1)^(3/2)*(a+b*arccosh(c*x))^2/c+2/3*d*x*(a+b*arccosh(c*x))^3+1/3*d*x*(-c^2*x^2+1)*(a+b*arccosh(c*x))^3,1],
[(a+b*arccosh(c*x))^3/(-c^2*d*x^2+d),x,8,2*(a+b*arccosh(c*x))^3*arctanh(exp(arccosh(c*x)))/c/d+3*b*(a+b*arccosh(c*x))^2*polylog(2,-exp(arccosh(c*x)))/c/d-3*b*(a+b*arccosh(c*x))^2*polylog(2,exp(arccosh(c*x)))/c/d-6*b^2*(a+b*arccosh(c*x))*polylog(3,-exp(arccosh(c*x)))/c/d+6*b^2*(a+b*arccosh(c*x))*polylog(3,exp(arccosh(c*x)))/c/d+6*b^3*polylog(4,-exp(arccosh(c*x)))/c/d-6*b^3*polylog(4,exp(arccosh(c*x)))/c/d,1],
[(a+b*arccosh(c*x))^3/(-c^2*d*x^2+d)^2,x,14,-3/2*b*(a+b*arccosh(c*x))^2/c/d^2/sqrt(c*x-1)/sqrt(c*x+1)+1/2*x*(a+b*arccosh(c*x))^3/d^2/(-c^2*x^2+1)-6*b^2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c/d^2+(a+b*arccosh(c*x))^3*arctanh(exp(arccosh(c*x)))/c/d^2-3*b^3*polylog(2,-exp(arccosh(c*x)))/c/d^2+3/2*b*(a+b*arccosh(c*x))^2*polylog(2,-exp(arccosh(c*x)))/c/d^2+3*b^3*polylog(2,exp(arccosh(c*x)))/c/d^2-3/2*b*(a+b*arccosh(c*x))^2*polylog(2,exp(arccosh(c*x)))/c/d^2-3*b^2*(a+b*arccosh(c*x))*polylog(3,-exp(arccosh(c*x)))/c/d^2+3*b^2*(a+b*arccosh(c*x))*polylog(3,exp(arccosh(c*x)))/c/d^2+3*b^3*polylog(4,-exp(arccosh(c*x)))/c/d^2-3*b^3*polylog(4,exp(arccosh(c*x)))/c/d^2,1],
[(-a^2*c*x^2+c)^3/arccosh(a*x),x,7,35/64*c^3*Shi(arccosh(a*x))/a-21/64*c^3*Shi(3*arccosh(a*x))/a+7/64*c^3*Shi(5*arccosh(a*x))/a-1/64*c^3*Shi(7*arccosh(a*x))/a,1],
[(-a^2*c*x^2+c)^2/arccosh(a*x),x,6,5/8*c^2*Shi(arccosh(a*x))/a-5/16*c^2*Shi(3*arccosh(a*x))/a+1/16*c^2*Shi(5*arccosh(a*x))/a,1],
[(-a^2*c*x^2+c)/arccosh(a*x),x,5,3/4*c*Shi(arccosh(a*x))/a-1/4*c*Shi(3*arccosh(a*x))/a,1],
[1/(-a^2*c*x^2+c)/arccosh(a*x),x,0,Defer(Int)(1/(-a^2*c*x^2+c)/arccosh(a*x),x),0],
[1/(-a^2*c*x^2+c)^2/arccosh(a*x),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^2/arccosh(a*x),x),0],
[(-a^2*c*x^2+c)^3/arccosh(a*x)^2,x,8,c^3*(a*x-1)^(7/2)*(a*x+1)^(7/2)/a/arccosh(a*x)+35/64*c^3*Chi(arccosh(a*x))/a-63/64*c^3*Chi(3*arccosh(a*x))/a+35/64*c^3*Chi(5*arccosh(a*x))/a-7/64*c^3*Chi(7*arccosh(a*x))/a,1],
[(-a^2*c*x^2+c)^2/arccosh(a*x)^2,x,7,-c^2*(a*x-1)^(5/2)*(a*x+1)^(5/2)/a/arccosh(a*x)+5/8*c^2*Chi(arccosh(a*x))/a-15/16*c^2*Chi(3*arccosh(a*x))/a+5/16*c^2*Chi(5*arccosh(a*x))/a,1],
[(-a^2*c*x^2+c)/arccosh(a*x)^2,x,6,c*(a*x-1)^(3/2)*(a*x+1)^(3/2)/a/arccosh(a*x)+3/4*c*Chi(arccosh(a*x))/a-3/4*c*Chi(3*arccosh(a*x))/a,1],
[1/(-a^2*c*x^2+c)/arccosh(a*x)^2,x,0,Defer(Int)(1/(-a^2*c*x^2+c)/arccosh(a*x)^2,x),0],
[1/(-a^2*c*x^2+c)^2/arccosh(a*x)^2,x,0,Defer(Int)(1/(-a^2*c*x^2+c)^2/arccosh(a*x)^2,x),0],
[(-c^2*d*x^2+d)^3/(a+b*arccosh(c*x)),x,15,-35/64*d^3*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b/c+21/64*d^3*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b/c-7/64*d^3*Chi(5*(a+b*arccosh(c*x))/b)*sinh(5*a/b)/b/c+1/64*d^3*Chi(7*(a+b*arccosh(c*x))/b)*sinh(7*a/b)/b/c+35/64*d^3*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c-21/64*d^3*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c+7/64*d^3*cosh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b/c-1/64*d^3*cosh(7*a/b)*Shi(7*(a+b*arccosh(c*x))/b)/b/c,1],
[(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x)),x,12,-5/8*d^2*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b/c+5/16*d^2*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b/c-1/16*d^2*Chi(5*(a+b*arccosh(c*x))/b)*sinh(5*a/b)/b/c+5/8*d^2*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c-5/16*d^2*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c+1/16*d^2*cosh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b/c,1],
[(-c^2*d*x^2+d)/(a+b*arccosh(c*x)),x,9,-3/4*d*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b/c+1/4*d*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b/c+3/4*d*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c-1/4*d*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c,1],
[1/(-c^2*d*x^2+d)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(-c^2*d*x^2+d)/(a+b*arccosh(c*x)),x),0],
[1/(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x)),x),0],
[(-c^2*d*x^2+d)^3/(a+b*arccosh(c*x))^2,x,16,d^3*(c*x-1)^(7/2)*(c*x+1)^(7/2)/b/c/(a+b*arccosh(c*x))+35/64*d^3*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c-63/64*d^3*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b^2/c+35/64*d^3*cosh(5*a/b)*Chi(5*(a+b*arccosh(c*x))/b)/b^2/c-7/64*d^3*cosh(7*a/b)*Chi(7*(a+b*arccosh(c*x))/b)/b^2/c-35/64*d^3*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c+63/64*d^3*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c-35/64*d^3*sinh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b^2/c+7/64*d^3*sinh(7*a/b)*Shi(7*(a+b*arccosh(c*x))/b)/b^2/c,1],
[(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^2,x,13,-d^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)/b/c/(a+b*arccosh(c*x))+5/8*d^2*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c-15/16*d^2*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b^2/c+5/16*d^2*cosh(5*a/b)*Chi(5*(a+b*arccosh(c*x))/b)/b^2/c-5/8*d^2*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c+15/16*d^2*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c-5/16*d^2*sinh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b^2/c,1],
[(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^2,x,10,d*(c*x-1)^(3/2)*(c*x+1)^(3/2)/b/c/(a+b*arccosh(c*x))+3/4*d*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c-3/4*d*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b^2/c-3/4*d*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c+3/4*d*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c,1],
[1/(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^2,x),0],
[1/(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^2,x),0],
[(-Pi*c^2*x^2+Pi)^(5/2)*(a+b*arccosh(c*x)),x,6,-5/32*b*c*Pi^(5/2)*x^2*sqrt(-c*x+1)/sqrt(c*x-1)+5/96*b*Pi^(5/2)*sqrt(-c*x+1)*(-c^2*x^2+1)^2/c/sqrt(c*x-1)+1/36*b*Pi^(5/2)*sqrt(-c*x+1)*(-c^2*x^2+1)^3/c/sqrt(c*x-1)+5/16*Pi^2*x*sqrt(-Pi*c^2*x^2+Pi)*(a+b*arccosh(c*x))+5/24*Pi*x*(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arccosh(c*x))+1/6*x*(-Pi*c^2*x^2+Pi)^(5/2)*(a+b*arccosh(c*x))-5/32*Pi^(5/2)*sqrt(-c*x+1)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1),1],
[(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arccosh(c*x)),x,4,-3/16*b*c*Pi^(3/2)*x^2*sqrt(-c*x+1)/sqrt(c*x-1)+1/16*b*Pi^(3/2)*sqrt(-c*x+1)*(-c^2*x^2+1)^2/c/sqrt(c*x-1)+3/8*Pi*x*sqrt(-Pi*c^2*x^2+Pi)*(a+b*arccosh(c*x))+1/4*x*(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arccosh(c*x))-3/16*Pi^(3/2)*sqrt(-c*x+1)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1),1],
[sqrt(-Pi*c^2*x^2+Pi)*(a+b*arccosh(c*x)),x,2,-1/4*b*c*sqrt(Pi)*x^2*sqrt(-c*x+1)/sqrt(c*x-1)+1/2*x*sqrt(-Pi*c^2*x^2+Pi)*(a+b*arccosh(c*x))-1/4*sqrt(Pi)*sqrt(-c*x+1)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1),1],
[(a+b*arccosh(c*x))/sqrt(-Pi*c^2*x^2+Pi),x,2,-1/2*sqrt(-c*x+1)*(a+b*arccosh(c*x))^2/b/c/sqrt(Pi)/sqrt(c*x-1),1],
[(a+b*arccosh(c*x))/(-Pi*c^2*x^2+Pi)^(3/2),x,2,x*(a+b*arccosh(c*x))/Pi/sqrt(-Pi*c^2*x^2+Pi)-1/2*b*sqrt(c*x-1)*ln(-c^2*x^2+1)/c/Pi^(3/2)/sqrt(-c*x+1),1],
[(a+b*arccosh(c*x))/(-Pi*c^2*x^2+Pi)^(5/2),x,4,1/6*b*sqrt(c*x-1)/c/Pi^(5/2)/sqrt(-c*x+1)/(-c^2*x^2+1)+1/3*x*(a+b*arccosh(c*x))/Pi/(-Pi*c^2*x^2+Pi)^(3/2)+2/3*x*(a+b*arccosh(c*x))/Pi^2/sqrt(-Pi*c^2*x^2+Pi)-1/3*b*sqrt(c*x-1)*ln(-c^2*x^2+1)/c/Pi^(5/2)/sqrt(-c*x+1),1],
[(a+b*arccosh(c*x))/(-Pi*c^2*x^2+Pi)^(7/2),x,6,1/20*b*sqrt(c*x-1)/c/Pi^(7/2)/sqrt(-c*x+1)/(-c^2*x^2+1)^2+2/15*b*sqrt(c*x-1)/c/Pi^(7/2)/sqrt(-c*x+1)/(-c^2*x^2+1)+1/5*x*(a+b*arccosh(c*x))/Pi/(-Pi*c^2*x^2+Pi)^(5/2)+4/15*x*(a+b*arccosh(c*x))/Pi^2/(-Pi*c^2*x^2+Pi)^(3/2)+8/15*x*(a+b*arccosh(c*x))/Pi^3/sqrt(-Pi*c^2*x^2+Pi)-4/15*b*sqrt(c*x-1)*ln(-c^2*x^2+1)/c/Pi^(7/2)/sqrt(-c*x+1),1],
[(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arccosh(c*x))^2,x,9,15/64*b^2*Pi^(3/2)*x*sqrt(-c*x+1)*sqrt(c*x+1)+1/32*b^2*Pi^(3/2)*x*(-c*x+1)^(3/2)*(c*x+1)^(3/2)+9/64*b^2*Pi^(3/2)*sqrt(-c*x+1)*arccosh(c*x)/c/sqrt(c*x-1)-3/8*b*c*Pi^(3/2)*x^2*sqrt(-c*x+1)*(a+b*arccosh(c*x))/sqrt(c*x-1)+1/8*b*Pi^(3/2)*sqrt(-c*x+1)*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))/c/sqrt(c*x-1)+3/8*Pi*x*sqrt(-Pi*c^2*x^2+Pi)*(a+b*arccosh(c*x))^2+1/4*x*(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arccosh(c*x))^2-1/8*Pi^(3/2)*sqrt(-c*x+1)*(a+b*arccosh(c*x))^3/b/c/sqrt(c*x-1),1],
[sqrt(-Pi*c^2*x^2+Pi)*(a+b*arccosh(c*x))^2,x,4,1/4*b^2*sqrt(Pi)*x*sqrt(-c*x+1)*sqrt(c*x+1)+1/4*b^2*sqrt(Pi)*sqrt(-c*x+1)*arccosh(c*x)/c/sqrt(c*x-1)-1/2*b*c*sqrt(Pi)*x^2*sqrt(-c*x+1)*(a+b*arccosh(c*x))/sqrt(c*x-1)+1/2*x*sqrt(-Pi*c^2*x^2+Pi)*(a+b*arccosh(c*x))^2-1/6*sqrt(Pi)*sqrt(-c*x+1)*(a+b*arccosh(c*x))^3/b/c/sqrt(c*x-1),1],
[(a+b*arccosh(c*x))^2/sqrt(-Pi*c^2*x^2+Pi),x,2,-1/3*sqrt(-c*x+1)*(a+b*arccosh(c*x))^3/b/c/sqrt(Pi)/sqrt(c*x-1),1],
[(a+b*arccosh(c*x))^2/(-Pi*c^2*x^2+Pi)^(3/2),x,4,sqrt(c*x-1)*(a+b*arccosh(c*x))^2/c/Pi^(3/2)/sqrt(-c*x+1)+x*(a+b*arccosh(c*x))^2/Pi/sqrt(-Pi*c^2*x^2+Pi)-2*b*sqrt(c*x-1)*(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/c/Pi^(3/2)/sqrt(-c*x+1)-b^2*sqrt(c*x-1)*polylog(2,exp(2*arccosh(c*x)))/c/Pi^(3/2)/sqrt(-c*x+1),1],
[(a+b*arccosh(c*x))^2/(-Pi*c^2*x^2+Pi)^(5/2),x,7,-1/3*b^2*x/Pi^(5/2)/sqrt(-c*x+1)/sqrt(c*x+1)+1/3*b*sqrt(c*x-1)*(a+b*arccosh(c*x))/c/Pi^(5/2)/sqrt(-c*x+1)/(-c^2*x^2+1)+2/3*sqrt(c*x-1)*(a+b*arccosh(c*x))^2/c/Pi^(5/2)/sqrt(-c*x+1)+1/3*x*(a+b*arccosh(c*x))^2/Pi/(-Pi*c^2*x^2+Pi)^(3/2)+2/3*x*(a+b*arccosh(c*x))^2/Pi^2/sqrt(-Pi*c^2*x^2+Pi)-4/3*b*sqrt(c*x-1)*(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/c/Pi^(5/2)/sqrt(-c*x+1)-2/3*b^2*sqrt(c*x-1)*polylog(2,exp(2*arccosh(c*x)))/c/Pi^(5/2)/sqrt(-c*x+1),1],
[sqrt(-x^2+1)*arccosh(x),x,2,-1/4*sqrt(1-x)*x^2/sqrt(-1+x)+1/2*x*sqrt(-x^2+1)*arccosh(x)-1/4*sqrt(1-x)*arccosh(x)^2/sqrt(-1+x),1],
[1/sqrt(-a^2*x^2+1)/arccosh(a*x)^3,x,2,1/2*sqrt(-a*x+1)/a/sqrt(a*x-1)/arccosh(a*x)^2,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,6,-5/32*b*c*d^2*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+5/96*b*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c-1/36*b*d^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)*sqrt(-c^2*d*x^2+d)/c+5/16*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+5/24*d*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))+1/6*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))-5/32*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,4,-3/16*b*c*d*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/16*b*d*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c+3/8*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/4*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))-3/16*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,2,-1/4*b*c*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/sqrt(-c^2*d*x^2+d),x,2,-1/2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,2,x*(a+b*arccosh(c*x))/d/sqrt(-c^2*d*x^2+d)-1/2*b*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c^2*x^2+1)/c/d/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,4,-1/6*b/c/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*x*(a+b*arccosh(c*x))/d/(-c^2*d*x^2+d)^(3/2)+2/3*x*(a+b*arccosh(c*x))/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c^2*x^2+1)/c/d^2/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(7/2),x,6,1/20*b/c/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)/sqrt(-c^2*d*x^2+d)-2/15*b/c/d^3/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/5*x*(a+b*arccosh(c*x))/d/(-c^2*d*x^2+d)^(5/2)+4/15*x*(a+b*arccosh(c*x))/d^2/(-c^2*d*x^2+d)^(3/2)+8/15*x*(a+b*arccosh(c*x))/d^3/sqrt(-c^2*d*x^2+d)-4/15*b*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c^2*x^2+1)/c/d^3/sqrt(-c^2*d*x^2+d),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x,9,15/64*b^2*d*x*sqrt(-c^2*d*x^2+d)+1/32*b^2*d*x*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)+9/64*b^2*d*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/c/sqrt(c*x-1)/sqrt(c*x+1)-3/8*b*c*d*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+1/8*b*d*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c+3/8*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2+1/4*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2-1/8*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2,x,4,1/4*b^2*x*sqrt(-c^2*d*x^2+d)+1/4*b^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/2*b*c*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+1/2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2-1/6*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))^2/sqrt(-c^2*d*x^2+d),x,2,-1/3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,4,x*(a+b*arccosh(c*x))^2/d/sqrt(-c^2*d*x^2+d)+sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/c/d/sqrt(-c^2*d*x^2+d)-2*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/c/d/sqrt(-c^2*d*x^2+d)-b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(2*arccosh(c*x)))/c/d/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,7,-1/3*b^2*x/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*(a+b*arccosh(c*x))/c/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*x*(a+b*arccosh(c*x))^2/d/(-c^2*d*x^2+d)^(3/2)+2/3*x*(a+b*arccosh(c*x))^2/d^2/sqrt(-c^2*d*x^2+d)+2/3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/c/d^2/sqrt(-c^2*d*x^2+d)-4/3*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/c/d^2/sqrt(-c^2*d*x^2+d)-2/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(2*arccosh(c*x)))/c/d^2/sqrt(-c^2*d*x^2+d),1],
[arccosh(a*x)^2/(-a^2*c*x^2+c)^(7/2),x,11,-1/3*x/c^3/sqrt(-a^2*c*x^2+c)-1/30*x/c^3/(-a*x+1)/(a*x+1)/sqrt(-a^2*c*x^2+c)+1/10*arccosh(a*x)/a/c^3/(a*x-1)^(3/2)/(a*x+1)^(3/2)/sqrt(-a^2*c*x^2+c)-4/15*arccosh(a*x)/a/c^3/sqrt(a*x-1)/sqrt(a*x+1)/sqrt(-a^2*c*x^2+c)+1/5*x*arccosh(a*x)^2/c/(-a^2*c*x^2+c)^(5/2)+4/15*x*arccosh(a*x)^2/c^2/(-a^2*c*x^2+c)^(3/2)+8/15*x*arccosh(a*x)^2/c^3/sqrt(-a^2*c*x^2+c)+8/15*sqrt(a*x-1)*sqrt(a*x+1)*arccosh(a*x)^2/a/c^3/sqrt(-a^2*c*x^2+c)-16/15*sqrt(a*x-1)*sqrt(a*x+1)*arccosh(a*x)*ln(1-exp(2*arccosh(a*x)))/a/c^3/sqrt(-a^2*c*x^2+c)-8/15*sqrt(a*x-1)*sqrt(a*x+1)*polylog(2,exp(2*arccosh(a*x)))/a/c^3/sqrt(-a^2*c*x^2+c),1],
[(-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^3,x,12,-45/128*a*c*x^2*sqrt(-a^2*c*x^2+c)/sqrt(a*x-1)/sqrt(a*x+1)+3/128*c*(a*x-1)^(3/2)*(a*x+1)^(3/2)*sqrt(-a^2*c*x^2+c)/a+45/64*c*x*sqrt(-a^2*c*x^2+c)*arccosh(a*x)+3/32*c*x*(-a*x+1)*(a*x+1)*sqrt(-a^2*c*x^2+c)*arccosh(a*x)+27/128*c*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^2/a/sqrt(a*x-1)/sqrt(a*x+1)-9/16*a*c*x^2*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^2/sqrt(a*x-1)/sqrt(a*x+1)+3/16*c*(a*x-1)^(3/2)*(a*x+1)^(3/2)*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^2/a+3/8*c*x*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^3+1/4*x*(-a^2*c*x^2+c)^(3/2)*arccosh(a*x)^3-3/32*c*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^4/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[sqrt(-a^2*c*x^2+c)*arccosh(a*x)^3,x,5,-3/8*a*x^2*sqrt(-a^2*c*x^2+c)/sqrt(a*x-1)/sqrt(a*x+1)+3/4*x*sqrt(-a^2*c*x^2+c)*arccosh(a*x)+3/8*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^2/a/sqrt(a*x-1)/sqrt(a*x+1)-3/4*a*x^2*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^2/sqrt(a*x-1)/sqrt(a*x+1)+1/2*x*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^3-1/8*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^4/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[arccosh(a*x)^3/sqrt(-a^2*c*x^2+c),x,2,-1/4*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^4/a/c/sqrt(a*x-1)/sqrt(a*x+1),1],
[arccosh(a*x)^3/(-a^2*c*x^2+c)^(3/2),x,5,x*arccosh(a*x)^3/c/sqrt(-a^2*c*x^2+c)+sqrt(a*x-1)*sqrt(a*x+1)*arccosh(a*x)^3/a/c/sqrt(-a^2*c*x^2+c)-3*sqrt(a*x-1)*sqrt(a*x+1)*arccosh(a*x)^2*ln(1-exp(2*arccosh(a*x)))/a/c/sqrt(-a^2*c*x^2+c)-3*sqrt(a*x-1)*sqrt(a*x+1)*arccosh(a*x)*polylog(2,exp(2*arccosh(a*x)))/a/c/sqrt(-a^2*c*x^2+c)+3/2*sqrt(a*x-1)*sqrt(a*x+1)*polylog(3,exp(2*arccosh(a*x)))/a/c/sqrt(-a^2*c*x^2+c),1],
[arccosh(a*x)^3/(-a^2*c*x^2+c)^(5/2),x,9,-x*arccosh(a*x)/c^2/sqrt(-a^2*c*x^2+c)-1/2*arccosh(a*x)^2/a/c^2/sqrt(a*x-1)/sqrt(a*x+1)/sqrt(-a^2*c*x^2+c)+1/3*x*arccosh(a*x)^3/c/(-a^2*c*x^2+c)^(3/2)+2/3*x*arccosh(a*x)^3/c^2/sqrt(-a^2*c*x^2+c)+2/3*sqrt(a*x-1)*sqrt(a*x+1)*arccosh(a*x)^3/a/c^2/sqrt(-a^2*c*x^2+c)-2*sqrt(a*x-1)*sqrt(a*x+1)*arccosh(a*x)^2*ln(1-exp(2*arccosh(a*x)))/a/c^2/sqrt(-a^2*c*x^2+c)+1/2*sqrt(a*x-1)*sqrt(a*x+1)*ln(-a^2*x^2+1)/a/c^2/sqrt(-a^2*c*x^2+c)-2*sqrt(a*x-1)*sqrt(a*x+1)*arccosh(a*x)*polylog(2,exp(2*arccosh(a*x)))/a/c^2/sqrt(-a^2*c*x^2+c)+sqrt(a*x-1)*sqrt(a*x+1)*polylog(3,exp(2*arccosh(a*x)))/a/c^2/sqrt(-a^2*c*x^2+c),1],
[(-c^2*d*x^2+d)^(5/2)/(a+b*arccosh(c*x)),x,12,15/32*d^2*sqrt(-c^2*d*x^2+d)*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1)-3/16*d^2*sqrt(-c^2*d*x^2+d)*cosh(4*a/b)*Chi(4*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1)+1/32*d^2*sqrt(-c^2*d*x^2+d)*cosh(6*a/b)*Chi(6*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1)-5/16*d^2*sqrt(-c^2*d*x^2+d)*ln(a+b*arccosh(c*x))/b/c/sqrt(c*x-1)/sqrt(c*x+1)-15/32*d^2*sqrt(-c^2*d*x^2+d)*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1)+3/16*d^2*sqrt(-c^2*d*x^2+d)*sinh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1)-1/32*d^2*sqrt(-c^2*d*x^2+d)*sinh(6*a/b)*Shi(6*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)/(a+b*arccosh(c*x)),x,9,1/2*d*sqrt(-c^2*d*x^2+d)*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1)-1/8*d*sqrt(-c^2*d*x^2+d)*cosh(4*a/b)*Chi(4*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1)-3/8*d*sqrt(-c^2*d*x^2+d)*ln(a+b*arccosh(c*x))/b/c/sqrt(c*x-1)/sqrt(c*x+1)-1/2*d*sqrt(-c^2*d*x^2+d)*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1)+1/8*d*sqrt(-c^2*d*x^2+d)*sinh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)/(a+b*arccosh(c*x)),x,6,1/2*sqrt(-c^2*d*x^2+d)*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1)-1/2*sqrt(-c^2*d*x^2+d)*ln(a+b*arccosh(c*x))/b/c/sqrt(c*x-1)/sqrt(c*x+1)-1/2*sqrt(-c^2*d*x^2+d)*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[1/sqrt(-c^2*d*x^2+d)/(a+b*arccosh(c*x)),x,2,-sqrt(-c^2*d*x^2+d)*ln(a+b*arccosh(c*x))/b/c/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[1/(-c^2*d*x^2+d)^(3/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(-c^2*d*x^2+d)^(3/2)/(a+b*arccosh(c*x)),x),0],
[1/(-c^2*d*x^2+d)^(5/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(-c^2*d*x^2+d)^(5/2)/(a+b*arccosh(c*x)),x),0],
[(-c^2*d*x^2+d)^(5/2)/(a+b*arccosh(c*x))^2,x,13,-sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*d*x^2+d)^(5/2)/b/c/(a+b*arccosh(c*x))-15/16*d^2*sqrt(-c^2*d*x^2+d)*Chi(2*(a+b*arccosh(c*x))/b)*sinh(2*a/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1)+3/4*d^2*sqrt(-c^2*d*x^2+d)*Chi(4*(a+b*arccosh(c*x))/b)*sinh(4*a/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1)-3/16*d^2*sqrt(-c^2*d*x^2+d)*Chi(6*(a+b*arccosh(c*x))/b)*sinh(6*a/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1)+15/16*d^2*sqrt(-c^2*d*x^2+d)*cosh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1)-3/4*d^2*sqrt(-c^2*d*x^2+d)*cosh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1)+3/16*d^2*sqrt(-c^2*d*x^2+d)*cosh(6*a/b)*Shi(6*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)/(a+b*arccosh(c*x))^2,x,10,-sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*d*x^2+d)^(3/2)/b/c/(a+b*arccosh(c*x))-d*sqrt(-c^2*d*x^2+d)*Chi(2*(a+b*arccosh(c*x))/b)*sinh(2*a/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1)+1/2*d*sqrt(-c^2*d*x^2+d)*Chi(4*(a+b*arccosh(c*x))/b)*sinh(4*a/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1)+d*sqrt(-c^2*d*x^2+d)*cosh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1)-1/2*d*sqrt(-c^2*d*x^2+d)*cosh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^2,x,7,-sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*d*x^2+d)/b/c/(a+b*arccosh(c*x))-sqrt(-c^2*d*x^2+d)*Chi(2*(a+b*arccosh(c*x))/b)*sinh(2*a/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1)+sqrt(-c^2*d*x^2+d)*cosh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[1/sqrt(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^2,x,2,sqrt(-c^2*d*x^2+d)/b/c/d/sqrt(c*x-1)/sqrt(c*x+1)/(a+b*arccosh(c*x)),1],
[1/(-c^2*d*x^2+d)^(3/2)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(-c^2*d*x^2+d)^(3/2)/(a+b*arccosh(c*x))^2,x),0],
[1/(-c^2*d*x^2+d)^(5/2)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(-c^2*d*x^2+d)^(5/2)/(a+b*arccosh(c*x))^2,x),0],
[(-a^2*c*x^2+c)^(3/2)*sqrt(arccosh(a*x)),x,19,3/8*c*x*sqrt(-a^2*c*x^2+c)*sqrt(arccosh(a*x))+1/4*x*(-a^2*c*x^2+c)^(3/2)*sqrt(arccosh(a*x))-1/4*c*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(3/2)/a/sqrt(a*x-1)/sqrt(a*x+1)-1/256*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erf(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+1/16*c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+1/256*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erfi(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-1/16*c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[sqrt(-a^2*c*x^2+c)*sqrt(arccosh(a*x)),x,5,1/2*x*sqrt(-a^2*c*x^2+c)*sqrt(arccosh(a*x))-1/3*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(3/2)/a/sqrt(a*x-1)/sqrt(a*x+1)+1/16*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-1/16*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[sqrt(arccosh(a*x))/sqrt(-a^2*c*x^2+c),x,2,-2/3*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(3/2)/a/c/sqrt(a*x-1)/sqrt(a*x+1),1],
[sqrt(arccosh(a*x))/(-a^2*c*x^2+c)^(3/2),x,0,Defer(Int)(sqrt(arccosh(a*x))/(-a^2*c*x^2+c)^(3/2),x),0],
[sqrt(arccosh(a*x))/(-a^2*c*x^2+c)^(5/2),x,0,Defer(Int)(sqrt(arccosh(a*x))/(-a^2*c*x^2+c)^(5/2),x),0],
[sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(3/2),x,6,3/16*sqrt(-a^2*c*x^2+c)*sqrt(arccosh(a*x))/a/sqrt(a*x-1)/sqrt(a*x+1)-3/8*a*x^2*sqrt(-a^2*c*x^2+c)*sqrt(arccosh(a*x))/sqrt(a*x-1)/sqrt(a*x+1)+1/2*x*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(3/2)-1/5*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(5/2)/a/sqrt(a*x-1)/sqrt(a*x+1)+3/64*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+3/64*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[arccosh(a*x)^(3/2)/sqrt(-a^2*c*x^2+c),x,2,-2/5*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(5/2)/a/c/sqrt(a*x-1)/sqrt(a*x+1),1],
[arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(3/2),x,0,Defer(Int)(arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(3/2),x),0],
[arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(5/2),x,0,Defer(Int)(arccosh(a*x)^(3/2)/(-a^2*c*x^2+c)^(5/2),x),0],
[sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(5/2),x,8,15/32*x*sqrt(-a^2*c*x^2+c)*sqrt(arccosh(a*x))+5/16*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(3/2)/a/sqrt(a*x-1)/sqrt(a*x+1)-5/8*a*x^2*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(3/2)/sqrt(a*x-1)/sqrt(a*x+1)+1/2*x*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(5/2)-1/7*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(7/2)/a/sqrt(a*x-1)/sqrt(a*x+1)+15/256*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-15/256*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[arccosh(a*x)^(5/2)/sqrt(-a^2*c*x^2+c),x,2,-2/7*sqrt(-a^2*c*x^2+c)*arccosh(a*x)^(7/2)/a/c/sqrt(a*x-1)/sqrt(a*x+1),1],
[arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(3/2),x,0,Defer(Int)(arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(3/2),x),0],
[arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(5/2),x,0,Defer(Int)(arccosh(a*x)^(5/2)/(-a^2*c*x^2+c)^(5/2),x),0],
[(a^2-x^2)^(3/2)*sqrt(arccosh(x/a)),x,19,3/8*a^2*x*sqrt(a^2-x^2)*sqrt(arccosh(x/a))+1/4*x*(a^2-x^2)^(3/2)*sqrt(arccosh(x/a))-1/4*a^3*sqrt(a^2-x^2)*arccosh(x/a)^(3/2)/sqrt(-1+x/a)/sqrt(1+x/a)-1/256*a^3*sqrt(Pi)*sqrt(a^2-x^2)*erf(2*sqrt(arccosh(x/a)))/sqrt(-1+x/a)/sqrt(1+x/a)+1/16*a^3*sqrt(1/2*Pi)*sqrt(a^2-x^2)*erf(sqrt(2)*sqrt(arccosh(x/a)))/sqrt(-1+x/a)/sqrt(1+x/a)+1/256*a^3*sqrt(Pi)*sqrt(a^2-x^2)*erfi(2*sqrt(arccosh(x/a)))/sqrt(-1+x/a)/sqrt(1+x/a)-1/16*a^3*sqrt(1/2*Pi)*sqrt(a^2-x^2)*erfi(sqrt(2)*sqrt(arccosh(x/a)))/sqrt(-1+x/a)/sqrt(1+x/a),1],
[sqrt(a^2-x^2)*sqrt(arccosh(x/a)),x,5,1/2*x*sqrt(a^2-x^2)*sqrt(arccosh(x/a))-1/3*a*sqrt(a^2-x^2)*arccosh(x/a)^(3/2)/sqrt(-1+x/a)/sqrt(1+x/a)+1/16*a*sqrt(1/2*Pi)*sqrt(a^2-x^2)*erf(sqrt(2)*sqrt(arccosh(x/a)))/sqrt(-1+x/a)/sqrt(1+x/a)-1/16*a*sqrt(1/2*Pi)*sqrt(a^2-x^2)*erfi(sqrt(2)*sqrt(arccosh(x/a)))/sqrt(-1+x/a)/sqrt(1+x/a),1],
[sqrt(arccosh(x/a))/sqrt(a^2-x^2),x,2,-2/3*sqrt(a^2-x^2)*arccosh(x/a)^(3/2)/a/sqrt(-1+x/a)/sqrt(1+x/a),1],
[sqrt(arccosh(x/a))/(a^2-x^2)^(3/2),x,0,Defer(Int)(sqrt(arccosh(x/a))/(a^2-x^2)^(3/2),x),0],
[sqrt(arccosh(x/a))/(a^2-x^2)^(5/2),x,0,Defer(Int)(sqrt(arccosh(x/a))/(a^2-x^2)^(5/2),x),0],
[sqrt(a^2-x^2)*arccosh(x/a)^(3/2),x,6,3/16*a*sqrt(a^2-x^2)*sqrt(arccosh(x/a))/sqrt(-1+x/a)/sqrt(1+x/a)-3/8*x^2*sqrt(a^2-x^2)*sqrt(arccosh(x/a))/a/sqrt(-1+x/a)/sqrt(1+x/a)+1/2*x*sqrt(a^2-x^2)*arccosh(x/a)^(3/2)-1/5*a*sqrt(a^2-x^2)*arccosh(x/a)^(5/2)/sqrt(-1+x/a)/sqrt(1+x/a)+3/64*a*sqrt(1/2*Pi)*sqrt(a^2-x^2)*erf(sqrt(2)*sqrt(arccosh(x/a)))/sqrt(-1+x/a)/sqrt(1+x/a)+3/64*a*sqrt(1/2*Pi)*sqrt(a^2-x^2)*erfi(sqrt(2)*sqrt(arccosh(x/a)))/sqrt(-1+x/a)/sqrt(1+x/a),1],
[arccosh(x/a)^(3/2)/sqrt(a^2-x^2),x,2,-2/5*sqrt(a^2-x^2)*arccosh(x/a)^(5/2)/a/sqrt(-1+x/a)/sqrt(1+x/a),1],
[arccosh(x/a)^(3/2)/(a^2-x^2)^(3/2),x,0,Defer(Int)(arccosh(x/a)^(3/2)/(a^2-x^2)^(3/2),x),0],
[arccosh(x/a)^(3/2)/(a^2-x^2)^(5/2),x,0,Defer(Int)(arccosh(x/a)^(3/2)/(a^2-x^2)^(5/2),x),0],
[(-a^2*c*x^2+c)^(5/2)/sqrt(arccosh(a*x)),x,10,-5/8*c^2*sqrt(-a^2*c*x^2+c)*sqrt(arccosh(a*x))/a/sqrt(a*x-1)/sqrt(a*x+1)-3/64*c^2*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erf(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+15/64*c^2*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+1/64*c^2*sqrt(1/6*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(6)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-3/64*c^2*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erfi(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+15/64*c^2*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+1/64*c^2*sqrt(1/6*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(6)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[(-a^2*c*x^2+c)^(3/2)/sqrt(arccosh(a*x)),x,8,-3/4*c*sqrt(-a^2*c*x^2+c)*sqrt(arccosh(a*x))/a/sqrt(a*x-1)/sqrt(a*x+1)-1/32*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erf(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+1/4*c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-1/32*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erfi(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+1/4*c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[sqrt(-a^2*c*x^2+c)/sqrt(arccosh(a*x)),x,6,-sqrt(-a^2*c*x^2+c)*sqrt(arccosh(a*x))/a/sqrt(a*x-1)/sqrt(a*x+1)+1/4*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+1/4*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[1/sqrt(-a^2*c*x^2+c)/sqrt(arccosh(a*x)),x,2,-2*sqrt(-a^2*c*x^2+c)*sqrt(arccosh(a*x))/a/c/sqrt(a*x-1)/sqrt(a*x+1),1],
[1/(-a^2*c*x^2+c)^(3/2)/sqrt(arccosh(a*x)),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(3/2)/sqrt(arccosh(a*x)),x),0],
[1/(-a^2*c*x^2+c)^(5/2)/sqrt(arccosh(a*x)),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(5/2)/sqrt(arccosh(a*x)),x),0],
[(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(3/2),x,19,-2*sqrt(a*x-1)*sqrt(a*x+1)*(-a^2*c*x^2+c)^(5/2)/a/sqrt(arccosh(a*x))+3/8*c^2*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erf(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-15/16*c^2*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-1/16*c^2*sqrt(3/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(6)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-3/8*c^2*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erfi(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+15/16*c^2*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+1/16*c^2*sqrt(3/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(6)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(3/2),x,14,-2*sqrt(a*x-1)*sqrt(a*x+1)*(-a^2*c*x^2+c)^(3/2)/a/sqrt(arccosh(a*x))+1/4*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erf(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-1/4*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erfi(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[sqrt(-a^2*c*x^2+c)/arccosh(a*x)^(3/2),x,5,-2*sqrt(a*x-1)*sqrt(a*x+1)*sqrt(-a^2*c*x^2+c)/a/sqrt(arccosh(a*x))-sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[1/sqrt(-a^2*c*x^2+c)/arccosh(a*x)^(3/2),x,2,2*sqrt(-a^2*c*x^2+c)/a/c/sqrt(a*x-1)/sqrt(a*x+1)/sqrt(arccosh(a*x)),1],
[1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(3/2),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(3/2),x),0],
[1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(3/2),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(3/2),x),0],
[(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(5/2),x,16,-2/3*sqrt(a*x-1)*sqrt(a*x+1)*(-a^2*c*x^2+c)^(3/2)/a/arccosh(a*x)^(3/2)-16/3*c*x*(-a*x+1)*(a*x+1)*sqrt(-a^2*c*x^2+c)/sqrt(arccosh(a*x))-2/3*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erf(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+2/3*c*sqrt(2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)-2/3*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*erfi(2*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+2/3*c*sqrt(2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[sqrt(-a^2*c*x^2+c)/arccosh(a*x)^(5/2),x,7,-2/3*sqrt(a*x-1)*sqrt(a*x+1)*sqrt(-a^2*c*x^2+c)/a/arccosh(a*x)^(3/2)-8/3*x*sqrt(-a^2*c*x^2+c)/sqrt(arccosh(a*x))+2/3*sqrt(2*Pi)*sqrt(-a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1)+2/3*sqrt(2*Pi)*sqrt(-a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arccosh(a*x)))/a/sqrt(a*x-1)/sqrt(a*x+1),1],
[1/sqrt(-a^2*c*x^2+c)/arccosh(a*x)^(5/2),x,2,2/3*sqrt(-a^2*c*x^2+c)/a/c/sqrt(a*x-1)/sqrt(a*x+1)/arccosh(a*x)^(3/2),1],
[1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(5/2),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(3/2)/arccosh(a*x)^(5/2),x),0],
[1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(5/2),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(5/2)/arccosh(a*x)^(5/2),x),0],
[(e*x^2+d)^4*(a+b*arccosh(c*x)),x,6,-1/315*b*(315*c^8*d^4+420*c^6*d^3*e+378*c^4*d^2*e^2+180*c^2*d*e^3+35*e^4)*sqrt(c*x-1)*sqrt(c*x+1)/c^9-4/945*b*e*(105*c^6*d^3+189*c^4*d^2*e+135*c^2*d*e^2+35*e^3)*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^9-2/525*b*e^2*(63*c^4*d^2+90*c^2*d*e+35*e^2)*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^9-4/441*b*e^3*(9*c^2*d+7*e)*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^9-1/81*b*e^4*(c*x-1)^(9/2)*(c*x+1)^(9/2)/c^9+d^4*x*(a+b*arccosh(c*x))+4/3*d^3*e*x^3*(a+b*arccosh(c*x))+6/5*d^2*e^2*x^5*(a+b*arccosh(c*x))+4/7*d*e^3*x^7*(a+b*arccosh(c*x))+1/9*e^4*x^9*(a+b*arccosh(c*x)),1],
[(d*x^2+c)^4*arccosh(a*x),x,6,-1/315*(315*a^8*c^4+420*a^6*c^3*d+378*a^4*c^2*d^2+180*a^2*c*d^3+35*d^4)*sqrt(a*x-1)*sqrt(a*x+1)/a^9-4/945*d*(105*a^6*c^3+189*a^4*c^2*d+135*a^2*c*d^2+35*d^3)*(a*x-1)^(3/2)*(a*x+1)^(3/2)/a^9-2/525*d^2*(63*a^4*c^2+90*a^2*c*d+35*d^2)*(a*x-1)^(5/2)*(a*x+1)^(5/2)/a^9-4/441*d^3*(9*a^2*c+7*d)*(a*x-1)^(7/2)*(a*x+1)^(7/2)/a^9-1/81*d^4*(a*x-1)^(9/2)*(a*x+1)^(9/2)/a^9+c^4*x*arccosh(a*x)+4/3*c^3*d*x^3*arccosh(a*x)+6/5*c^2*d^2*x^5*arccosh(a*x)+4/7*c*d^3*x^7*arccosh(a*x)+1/9*d^4*x^9*arccosh(a*x),1],
[(d*x^2+c)^3*arccosh(a*x),x,6,-1/35*(35*a^6*c^3+35*a^4*c^2*d+21*a^2*c*d^2+5*d^3)*sqrt(a*x-1)*sqrt(a*x+1)/a^7-1/105*d*(35*a^4*c^2+42*a^2*c*d+15*d^2)*(a*x-1)^(3/2)*(a*x+1)^(3/2)/a^7-3/175*d^2*(7*a^2*c+5*d)*(a*x-1)^(5/2)*(a*x+1)^(5/2)/a^7-1/49*d^3*(a*x-1)^(7/2)*(a*x+1)^(7/2)/a^7+c^3*x*arccosh(a*x)+c^2*d*x^3*arccosh(a*x)+3/5*c*d^2*x^5*arccosh(a*x)+1/7*d^3*x^7*arccosh(a*x),1],
[(d*x^2+c)^2*arccosh(a*x),x,6,-1/15*(15*a^4*c^2+10*a^2*c*d+3*d^2)*sqrt(a*x-1)*sqrt(a*x+1)/a^5-2/45*d*(5*a^2*c+3*d)*(a*x-1)^(3/2)*(a*x+1)^(3/2)/a^5-1/25*d^2*(a*x-1)^(5/2)*(a*x+1)^(5/2)/a^5+c^2*x*arccosh(a*x)+2/3*c*d*x^3*arccosh(a*x)+1/5*d^2*x^5*arccosh(a*x),1],
[(d*x^2+c)*arccosh(a*x),x,3,-1/9*(9*a^2*c+2*d)*sqrt(a*x-1)*sqrt(a*x+1)/a^3-1/9*d*x^2*sqrt(a*x-1)*sqrt(a*x+1)/a+c*x*arccosh(a*x)+1/3*d*x^3*arccosh(a*x),1],
[arccosh(a*x)/(d*x^2+c),x,18,1/2*arccosh(a*x)*ln(1-sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)-sqrt(-a^2*c-d)))/sqrt(-c)/sqrt(d)-1/2*arccosh(a*x)*ln(1+sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)-sqrt(-a^2*c-d)))/sqrt(-c)/sqrt(d)+1/2*arccosh(a*x)*ln(1-sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)+sqrt(-a^2*c-d)))/sqrt(-c)/sqrt(d)-1/2*arccosh(a*x)*ln(1+sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)+sqrt(-a^2*c-d)))/sqrt(-c)/sqrt(d)-1/2*polylog(2,-sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)-sqrt(-a^2*c-d)))/sqrt(-c)/sqrt(d)+1/2*polylog(2,sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)-sqrt(-a^2*c-d)))/sqrt(-c)/sqrt(d)-1/2*polylog(2,-sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)+sqrt(-a^2*c-d)))/sqrt(-c)/sqrt(d)+1/2*polylog(2,sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)+sqrt(-a^2*c-d)))/sqrt(-c)/sqrt(d),1],
[arccosh(a*x)/(d*x^2+c)^2,x,26,-1/4*arccosh(a*x)/c/sqrt(d)/(sqrt(-c)-sqrt(d)*x)+1/4*arccosh(a*x)/c/sqrt(d)/(sqrt(-c)+sqrt(d)*x)+1/2*a*arctanh(sqrt(a*sqrt(-c)-sqrt(d))*sqrt(a*x+1)/sqrt(a*sqrt(-c)+sqrt(d))/sqrt(a*x-1))/c/sqrt(a*sqrt(-c)-sqrt(d))/sqrt(a*sqrt(-c)+sqrt(d))/sqrt(d)-1/2*a*arctanh(sqrt(a*sqrt(-c)+sqrt(d))*sqrt(a*x+1)/sqrt(a*sqrt(-c)-sqrt(d))/sqrt(a*x-1))/c/sqrt(a*sqrt(-c)-sqrt(d))/sqrt(a*sqrt(-c)+sqrt(d))/sqrt(d)-1/4*arccosh(a*x)*ln(1-sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)-sqrt(-a^2*c-d)))/(-c)^(3/2)/sqrt(d)+1/4*arccosh(a*x)*ln(1+sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)-sqrt(-a^2*c-d)))/(-c)^(3/2)/sqrt(d)-1/4*arccosh(a*x)*ln(1-sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)+sqrt(-a^2*c-d)))/(-c)^(3/2)/sqrt(d)+1/4*arccosh(a*x)*ln(1+sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)+sqrt(-a^2*c-d)))/(-c)^(3/2)/sqrt(d)+1/4*polylog(2,-sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)-sqrt(-a^2*c-d)))/(-c)^(3/2)/sqrt(d)-1/4*polylog(2,sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)-sqrt(-a^2*c-d)))/(-c)^(3/2)/sqrt(d)+1/4*polylog(2,-sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)+sqrt(-a^2*c-d)))/(-c)^(3/2)/sqrt(d)-1/4*polylog(2,sqrt(d)*exp(arccosh(a*x))/(a*sqrt(-c)+sqrt(-a^2*c-d)))/(-c)^(3/2)/sqrt(d),1],
[(e*x^2+d)^3*(a+b*arccosh(c*x))^2,x,26,2*b^2*d^3*x+4/3*b^2*d^2*e*x/c^2+16/25*b^2*d*e^2*x/c^4+32/245*b^2*e^3*x/c^6+2/9*b^2*d^2*e*x^3+8/75*b^2*d*e^2*x^3/c^2+16/735*b^2*e^3*x^3/c^4+6/125*b^2*d*e^2*x^5+12/1225*b^2*e^3*x^5/c^2+2/343*b^2*e^3*x^7-2*b*d^3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-4/3*b*d^2*e*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3-16/25*b*d*e^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^5-32/245*b*e^3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^7-2/3*b*d^2*e*x^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-8/25*b*d*e^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3-16/245*b*e^3*x^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^5-6/25*b*d*e^2*x^4*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-12/245*b*e^3*x^4*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3-2/49*b*e^3*x^6*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c+d^3*x*(a+b*arccosh(c*x))^2+d^2*e*x^3*(a+b*arccosh(c*x))^2+3/5*d*e^2*x^5*(a+b*arccosh(c*x))^2+1/7*e^3*x^7*(a+b*arccosh(c*x))^2,1],
[(e*x^2+d)^2*(a+b*arccosh(c*x))^2,x,17,2*b^2*d^2*x+8/9*b^2*d*e*x/c^2+16/75*b^2*e^2*x/c^4+4/27*b^2*d*e*x^3+8/225*b^2*e^2*x^3/c^2+2/125*b^2*e^2*x^5-2*b*d^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-8/9*b*d*e*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3-16/75*b*e^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^5-4/9*b*d*e*x^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-8/75*b*e^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3-2/25*b*e^2*x^4*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c+d^2*x*(a+b*arccosh(c*x))^2+2/3*d*e*x^3*(a+b*arccosh(c*x))^2+1/5*e^2*x^5*(a+b*arccosh(c*x))^2,1],
[(e*x^2+d)*(a+b*arccosh(c*x))^2,x,10,2*b^2*d*x+4/9*b^2*e*x/c^2+2/27*b^2*e*x^3-2*b*d*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-4/9*b*e*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3-2/9*b*e*x^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c+d*x*(a+b*arccosh(c*x))^2+1/3*e*x^3*(a+b*arccosh(c*x))^2,1],
[(a+b*arccosh(c*x))^2,x,3,2*b^2*x-2*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c+x*(a+b*arccosh(c*x))^2,1],
[(a+b*arccosh(c*x))^2/(e*x^2+d),x,22,1/2*(a+b*arccosh(c*x))^2*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arccosh(c*x))^2*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)+1/2*(a+b*arccosh(c*x))^2*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arccosh(c*x))^2*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)-b*(a+b*arccosh(c*x))*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)+b*(a+b*arccosh(c*x))*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)-b*(a+b*arccosh(c*x))*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)+b*(a+b*arccosh(c*x))*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)+b^2*polylog(3,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)-b^2*polylog(3,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)+b^2*polylog(3,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)-b^2*polylog(3,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e),1],
[(e*x^2+d)^2/(a+b*arccosh(c*x)),x,27,-d^2*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b/c-1/2*d*e*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b/c^3-1/8*e^2*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b/c^5-1/2*d*e*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b/c^3-3/16*e^2*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b/c^5-1/16*e^2*Chi(5*(a+b*arccosh(c*x))/b)*sinh(5*a/b)/b/c^5+d^2*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c+1/2*d*e*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^3+1/8*e^2*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^5+1/2*d*e*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c^3+3/16*e^2*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c^5+1/16*e^2*cosh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b/c^5,1],
[(e*x^2+d)/(a+b*arccosh(c*x)),x,15,-1/4*(4*c^2*d+e)*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b/c^3-1/4*e*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b/c^3+1/4*(4*c^2*d+e)*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^3+1/4*e*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c^3,1],
[1/(a+b*arccosh(c*x)),x,4,-Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b/c+cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c,1],
[1/(e*x^2+d)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)/(a+b*arccosh(c*x)),x),0],
[1/(e*x^2+d)^2/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*arccosh(c*x)),x),0],
[(e*x^2+d)^2/(a+b*arccosh(c*x))^2,x,26,-d^2*sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))-2*d*e*x^2*sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))-e^2*x^4*sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))+d^2*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c+1/2*d*e*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c^3+1/8*e^2*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c^5+3/2*d*e*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b^2/c^3+9/16*e^2*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b^2/c^5+5/16*e^2*cosh(5*a/b)*Chi(5*(a+b*arccosh(c*x))/b)/b^2/c^5-d^2*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c-1/2*d*e*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^3-1/8*e^2*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^5-3/2*d*e*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c^3-9/16*e^2*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c^5-5/16*e^2*sinh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b^2/c^5,1],
[(e*x^2+d)/(a+b*arccosh(c*x))^2,x,15,-d*sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))-e*x^2*sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))+d*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c+1/4*e*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c^3+3/4*e*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b^2/c^3-d*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c-1/4*e*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^3-3/4*e*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c^3,1],
[1/(a+b*arccosh(c*x))^2,x,5,-sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))+cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c-sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c,1],
[1/(e*x^2+d)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)/(a+b*arccosh(c*x))^2,x),0],
[1/(e*x^2+d)^2/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*arccosh(c*x))^2,x),0],
[sqrt(e*x^2+d)*(a+b*arccosh(c*x)),x,0,Defer(Int)(sqrt(e*x^2+d)*(a+b*arccosh(c*x)),x),0],
[(a+b*arccosh(c*x))/sqrt(e*x^2+d),x,0,Defer(Int)((a+b*arccosh(c*x))/sqrt(e*x^2+d),x),0],
[(a+b*arccosh(c*x))/(e*x^2+d)^(3/2),x,6,x*(a+b*arccosh(c*x))/d/sqrt(e*x^2+d)-b*sqrt(c^2*x^2-1)*arctanh(sqrt(e)*sqrt(c^2*x^2-1)/c/sqrt(e*x^2+d))/d/sqrt(e)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/(e*x^2+d)^(5/2),x,7,-1/3*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d/(c^2*d+e)/sqrt(e*x^2+d)+1/3*x*(a+b*arccosh(c*x))/d/(e*x^2+d)^(3/2)+2/3*x*(a+b*arccosh(c*x))/d^2/sqrt(e*x^2+d)-2/3*b*sqrt(c^2*x^2-1)*arctanh(sqrt(e)*sqrt(c^2*x^2-1)/c/sqrt(e*x^2+d))/d^2/sqrt(e)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/(e*x^2+d)^(7/2),x,8,-1/15*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d/(c^2*d+e)/(e*x^2+d)^(3/2)-2/15*b*c*(3*c^2*d+2*e)*sqrt(c*x-1)*sqrt(c*x+1)/d^2/(c^2*d+e)^2/sqrt(e*x^2+d)+1/5*x*(a+b*arccosh(c*x))/d/(e*x^2+d)^(5/2)+4/15*x*(a+b*arccosh(c*x))/d^2/(e*x^2+d)^(3/2)+8/15*x*(a+b*arccosh(c*x))/d^3/sqrt(e*x^2+d)-8/15*b*sqrt(c^2*x^2-1)*arctanh(sqrt(e)*sqrt(c^2*x^2-1)/c/sqrt(e*x^2+d))/d^3/sqrt(e)/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(e*x^2+d)*(a+b*arccosh(c*x))^2,x,0,Defer(Int)(sqrt(e*x^2+d)*(a+b*arccosh(c*x))^2,x),0],
[(a+b*arccosh(c*x))^2/sqrt(e*x^2+d),x,0,Defer(Int)((a+b*arccosh(c*x))^2/sqrt(e*x^2+d),x),0],
[(a+b*arccosh(c*x))^2/(e*x^2+d)^(3/2),x,0,Defer(Int)((a+b*arccosh(c*x))^2/(e*x^2+d)^(3/2),x),0],
[(a+b*arccosh(c*x))^2/(e*x^2+d)^(5/2),x,0,Defer(Int)((a+b*arccosh(c*x))^2/(e*x^2+d)^(5/2),x),0],
[sqrt(e*x^2+d)/(a+b*arccosh(c*x)),x,0,Defer(Int)(sqrt(e*x^2+d)/(a+b*arccosh(c*x)),x),0],
[1/sqrt(e*x^2+d)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/sqrt(e*x^2+d)/(a+b*arccosh(c*x)),x),0],
[1/(e*x^2+d)^(3/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^(3/2)/(a+b*arccosh(c*x)),x),0],
[1/(e*x^2+d)^(5/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^(5/2)/(a+b*arccosh(c*x)),x),0],
[sqrt(e*x^2+d)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(sqrt(e*x^2+d)/(a+b*arccosh(c*x))^2,x),0],
[1/sqrt(e*x^2+d)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/sqrt(e*x^2+d)/(a+b*arccosh(c*x))^2,x),0],
[1/(e*x^2+d)^(3/2)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)^(3/2)/(a+b*arccosh(c*x))^2,x),0],
[1/(e*x^2+d)^(5/2)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)^(5/2)/(a+b*arccosh(c*x))^2,x),0],
[(e*x^2+d)^2*sqrt(a+b*arccosh(c*x)),x,23,d^2*x*sqrt(a+b*arccosh(c*x))+2/3*d*e*x^3*sqrt(a+b*arccosh(c*x))+1/5*e^2*x^5*sqrt(a+b*arccosh(c*x))-1/4*sqrt(b)*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/c-1/8*sqrt(b)*d*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3-1/32*sqrt(b)*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/c^5-1/24*sqrt(b)*d*e*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3-1/64*sqrt(b)*e^2*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/c^5-1/320*sqrt(b)*e^2*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arccosh(c*x))/sqrt(b))/c^5-1/4*sqrt(b)*d^2*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/c/exp(a/b)-1/8*sqrt(b)*d*e*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3/exp(a/b)-1/32*sqrt(b)*e^2*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/c^5/exp(a/b)-1/24*sqrt(b)*d*e*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3/exp(3*a/b)-1/64*sqrt(b)*e^2*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/c^5/exp(3*a/b)-1/320*sqrt(b)*e^2*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arccosh(c*x))/sqrt(b))/c^5/exp(5*a/b),1],
[(e*x^2+d)*sqrt(a+b*arccosh(c*x)),x,14,d*x*sqrt(a+b*arccosh(c*x))+1/3*e*x^3*sqrt(a+b*arccosh(c*x))-1/4*sqrt(b)*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/c-1/16*sqrt(b)*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3-1/48*sqrt(b)*e*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3-1/4*sqrt(b)*d*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/c/exp(a/b)-1/16*sqrt(b)*e*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3/exp(a/b)-1/48*sqrt(b)*e*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3/exp(3*a/b),1],
[sqrt(a+b*arccosh(c*x)),x,5,x*sqrt(a+b*arccosh(c*x))-1/4*sqrt(b)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/c-1/4*sqrt(b)*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/c/exp(a/b),1],
[sqrt(a+b*arccosh(c*x))/(e*x^2+d),x,0,Defer(Int)(sqrt(a+b*arccosh(c*x))/(e*x^2+d),x),0],
[sqrt(a+b*arccosh(c*x))/(e*x^2+d)^2,x,0,Defer(Int)(sqrt(a+b*arccosh(c*x))/(e*x^2+d)^2,x),0],
[(e*x^2+d)*(a+b*arccosh(c*x))^(3/2),x,19,-3/2*b*d*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(a+b*arccosh(c*x))/c-1/3*b*e*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(a+b*arccosh(c*x))/c^3-1/6*b*e*x^2*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(a+b*arccosh(c*x))/c+d*x*(a+b*arccosh(c*x))^(3/2)+1/3*e*x^3*(a+b*arccosh(c*x))^(3/2)-3/8*b^(3/2)*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/c-3/32*b^(3/2)*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3-1/96*b^(3/2)*e*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3+3/8*b^(3/2)*d*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/c/exp(a/b)+3/32*b^(3/2)*e*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3/exp(a/b)+1/96*b^(3/2)*e*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/c^3/exp(3*a/b),1],
[(a+b*arccosh(c*x))^(3/2),x,5,-3/2*b*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(a+b*arccosh(c*x))/c+x*(a+b*arccosh(c*x))^(3/2)-3/8*b^(3/2)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/c+3/8*b^(3/2)*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/c/exp(a/b),1],
[(a+b*arccosh(c*x))^(3/2)/(e*x^2+d),x,0,Defer(Int)((a+b*arccosh(c*x))^(3/2)/(e*x^2+d),x),0],
[(a+b*arccosh(c*x))^(3/2)/(e*x^2+d)^2,x,0,Defer(Int)((a+b*arccosh(c*x))^(3/2)/(e*x^2+d)^2,x),0],
[(e*x^2+d)^2/sqrt(a+b*arccosh(c*x)),x,19,-1/2*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c-1/4*d*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^3-1/16*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^5-1/4*d*e*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^3-1/32*e^2*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^5-1/32*e^2*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^5+1/2*d^2*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c/exp(a/b)+1/4*d*e*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^3/exp(a/b)+1/16*e^2*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^5/exp(a/b)+1/4*d*e*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^3/exp(3*a/b)+1/32*e^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^5/exp(3*a/b)+1/32*e^2*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^5/exp(5*a/b),1],
[(e*x^2+d)/sqrt(a+b*arccosh(c*x)),x,11,-1/2*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c-1/8*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^3-1/8*e*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^3+1/2*d*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c/exp(a/b)+1/8*e*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^3/exp(a/b)+1/8*e*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c^3/exp(3*a/b),1],
[1/sqrt(a+b*arccosh(c*x)),x,3,-1/2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c+1/2*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/sqrt(b)/c/exp(a/b),1],
[1/(e*x^2+d)/sqrt(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)/sqrt(a+b*arccosh(c*x)),x),0],
[1/(e*x^2+d)^2/sqrt(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^2/sqrt(a+b*arccosh(c*x)),x),0],
[(e*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,19,-2*d*sqrt(c*x-1)*sqrt(c*x+1)/b/c/sqrt(a+b*arccosh(c*x))-2*e*x^2*sqrt(c*x-1)*sqrt(c*x+1)/b/c/sqrt(a+b*arccosh(c*x))+d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c+1/4*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3+1/4*e*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3+d*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c/exp(a/b)+1/4*e*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(a/b)+1/4*e*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(3*a/b),1],
[1/(a+b*arccosh(c*x))^(3/2),x,5,-2*sqrt(c*x-1)*sqrt(c*x+1)/b/c/sqrt(a+b*arccosh(c*x))+exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c+sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c/exp(a/b),1],
[1/(e*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,0,Defer(Int)(1/(e*x^2+d)/(a+b*arccosh(c*x))^(3/2),x),0],
[1/(e*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x),0]]: