lst:=[[x^4*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,7,-152/3675*b*d*sqrt(c*x-1)*sqrt(c*x+1)/c^5-76/3675*b*d*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c^3-19/1225*b*d*x^4*sqrt(c*x-1)*sqrt(c*x+1)/c+1/49*b*c*d*x^6*sqrt(c*x-1)*sqrt(c*x+1)+1/5*d*x^5*(a+b*arccosh(c*x))-1/7*c^2*d*x^7*(a+b*arccosh(c*x)),1],
[x^3*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,7,-1/24*b*d*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/36*b*d*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c+1/36*b*c*d*x^5*sqrt(c*x-1)*sqrt(c*x+1)-1/24*b*d*arccosh(c*x)/c^4+1/4*d*x^4*(a+b*arccosh(c*x))-1/6*c^2*d*x^6*(a+b*arccosh(c*x)),1],
[x^2*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,6,-26/225*b*d*sqrt(c*x-1)*sqrt(c*x+1)/c^3-13/225*b*d*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c+1/25*b*c*d*x^4*sqrt(c*x-1)*sqrt(c*x+1)+1/3*d*x^3*(a+b*arccosh(c*x))-1/5*c^2*d*x^5*(a+b*arccosh(c*x)),1],
[x*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,4,-3/32*b*d*x*sqrt(c*x-1)*sqrt(c*x+1)/c+1/16*b*d*x*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c+3/32*b*d*arccosh(c*x)/c^2-1/4*d*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))/c^2,1],
[(-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],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x,x,6,1/4*b*c*d*x*sqrt(c*x-1)*sqrt(c*x+1)-1/4*b*d*arccosh(c*x)+1/2*d*(-c^2*x^2+1)*(a+b*arccosh(c*x))-1/2*d*(a+b*arccosh(c*x))^2/b+d*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))+1/2*b*d*polylog(2,-exp(2*arccosh(c*x))),1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^2,x,5,b*c*d*sqrt(c*x-1)*sqrt(c*x+1)-d*(a+b*arccosh(c*x))/x-c^2*d*x*(a+b*arccosh(c*x))+b*c*d*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^3,x,6,1/2*b*c*d*sqrt(c*x-1)*sqrt(c*x+1)/x-1/2*b*c^2*d*arccosh(c*x)-1/2*d*(-c^2*x^2+1)*(a+b*arccosh(c*x))/x^2+1/2*c^2*d*(a+b*arccosh(c*x))^2/b-c^2*d*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))-1/2*b*c^2*d*polylog(2,-exp(2*arccosh(c*x))),1],
[(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^4,x,5,1/6*b*c*d*sqrt(c*x-1)*sqrt(c*x+1)/x^2-1/3*d*(a+b*arccosh(c*x))/x^3+c^2*d*(a+b*arccosh(c*x))/x-5/6*b*c^3*d*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[x^4*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,7,-8/315*b*d^2*sqrt(c*x-1)*sqrt(c*x+1)/c^5+4/945*b*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^5-1/525*b*d^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^5-10/441*b*d^2*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^5-1/81*b*d^2*(c*x-1)^(9/2)*(c*x+1)^(9/2)/c^5+1/5*d^2*x^5*(a+b*arccosh(c*x))-2/7*c^2*d^2*x^7*(a+b*arccosh(c*x))+1/9*c^4*d^2*x^9*(a+b*arccosh(c*x)),1],
[x^3*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,10,-73/3072*b*d^2*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3-73/4608*b*d^2*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c+43/1152*b*c*d^2*x^5*sqrt(c*x-1)*sqrt(c*x+1)-1/64*b*c^3*d^2*x^7*sqrt(c*x-1)*sqrt(c*x+1)-73/3072*b*d^2*arccosh(c*x)/c^4+1/4*d^2*x^4*(a+b*arccosh(c*x))-1/3*c^2*d^2*x^6*(a+b*arccosh(c*x))+1/8*c^4*d^2*x^8*(a+b*arccosh(c*x)),1],
[x^2*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,7,-8/105*b*d^2*sqrt(c*x-1)*sqrt(c*x+1)/c^3+4/315*b*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^3-1/175*b*d^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^3-1/49*b*d^2*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^3+1/3*d^2*x^3*(a+b*arccosh(c*x))-2/5*c^2*d^2*x^5*(a+b*arccosh(c*x))+1/7*c^4*d^2*x^7*(a+b*arccosh(c*x)),1],
[x*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,5,-5/96*b*d^2*x*sqrt(c*x-1)*sqrt(c*x+1)/c+5/144*b*d^2*x*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c-1/36*b*d^2*x*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c+5/96*b*d^2*arccosh(c*x)/c^2-1/6*d^2*(-c^2*x^2+1)^3*(a+b*arccosh(c*x))/c^2,1],
[(-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)^2*(a+b*arccosh(c*x))/x,x,10,11/32*b*c*d^2*x*sqrt(c*x-1)*sqrt(c*x+1)-1/16*b*c*d^2*x*(c*x-1)^(3/2)*(c*x+1)^(3/2)-11/32*b*d^2*arccosh(c*x)+1/2*d^2*(-c^2*x^2+1)*(a+b*arccosh(c*x))+1/4*d^2*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))-1/2*d^2*(a+b*arccosh(c*x))^2/b+d^2*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))+1/2*b*d^2*polylog(2,-exp(2*arccosh(c*x))),1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))/x^2,x,6,16/9*b*c*d^2*sqrt(c*x-1)*sqrt(c*x+1)-1/9*b*c^3*d^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)-d^2*(a+b*arccosh(c*x))/x-2*c^2*d^2*x*(a+b*arccosh(c*x))+1/3*c^4*d^2*x^3*(a+b*arccosh(c*x))+b*c*d^2*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))/x^3,x,10,1/4*b*c^3*d^2*x*sqrt(c*x-1)*sqrt(c*x+1)-1/2*b*c*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)/x-1/4*b*c^2*d^2*arccosh(c*x)-c^2*d^2*(-c^2*x^2+1)*(a+b*arccosh(c*x))-1/2*d^2*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))/x^2+c^2*d^2*(a+b*arccosh(c*x))^2/b-2*c^2*d^2*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))-b*c^2*d^2*polylog(2,-exp(2*arccosh(c*x))),1],
[(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))/x^4,x,7,-b*c^3*d^2*sqrt(c*x-1)*sqrt(c*x+1)+1/6*b*c*d^2*sqrt(c*x-1)*sqrt(c*x+1)/x^2-1/3*d^2*(a+b*arccosh(c*x))/x^3+2*c^2*d^2*(a+b*arccosh(c*x))/x+c^4*d^2*x*(a+b*arccosh(c*x))-11/6*b*c^3*d^2*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[x^4*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,7,-16/1155*b*d^3*sqrt(c*x-1)*sqrt(c*x+1)/c^5+8/3465*b*d^3*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^5-2/1925*b*d^3*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^5+1/1617*b*d^3*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^5+4/297*b*d^3*(c*x-1)^(9/2)*(c*x+1)^(9/2)/c^5+1/121*b*d^3*(c*x-1)^(11/2)*(c*x+1)^(11/2)/c^5+1/5*d^3*x^5*(a+b*arccosh(c*x))-3/7*c^2*d^3*x^7*(a+b*arccosh(c*x))+1/3*c^4*d^3*x^9*(a+b*arccosh(c*x))-1/11*c^6*d^3*x^11*(a+b*arccosh(c*x)),1],
[x^3*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,16,-49/5120*b*d^3*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3+49/7680*b*d^3*x*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^3-49/9600*b*d^3*x*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^3+7/1600*b*d^3*x*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^3+1/100*b*d^3*x*(c*x-1)^(9/2)*(c*x+1)^(9/2)/c^3+49/5120*b*d^3*arccosh(c*x)/c^4-1/8*d^3*(-c^2*x^2+1)^4*(a+b*arccosh(c*x))/c^4+1/10*d^3*(-c^2*x^2+1)^5*(a+b*arccosh(c*x))/c^4,1],
[x^2*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,7,-16/315*b*d^3*sqrt(c*x-1)*sqrt(c*x+1)/c^3+8/945*b*d^3*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^3-2/525*b*d^3*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^3+1/441*b*d^3*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^3+1/81*b*d^3*(c*x-1)^(9/2)*(c*x+1)^(9/2)/c^3+1/3*d^3*x^3*(a+b*arccosh(c*x))-3/5*c^2*d^3*x^5*(a+b*arccosh(c*x))+3/7*c^4*d^3*x^7*(a+b*arccosh(c*x))-1/9*c^6*d^3*x^9*(a+b*arccosh(c*x)),1],
[x*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,6,-35/1024*b*d^3*x*sqrt(c*x-1)*sqrt(c*x+1)/c+35/1536*b*d^3*x*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c-7/384*b*d^3*x*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c+1/64*b*d^3*x*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c+35/1024*b*d^3*arccosh(c*x)/c^2-1/8*d^3*(-c^2*x^2+1)^4*(a+b*arccosh(c*x))/c^2,1],
[(-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)^3*(a+b*arccosh(c*x))/x,x,15,19/48*b*c*d^3*x*sqrt(c*x-1)*sqrt(c*x+1)-7/72*b*c*d^3*x*(c*x-1)^(3/2)*(c*x+1)^(3/2)+1/36*b*c*d^3*x*(c*x-1)^(5/2)*(c*x+1)^(5/2)-19/48*b*d^3*arccosh(c*x)+1/2*d^3*(-c^2*x^2+1)*(a+b*arccosh(c*x))+1/4*d^3*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))+1/6*d^3*(-c^2*x^2+1)^3*(a+b*arccosh(c*x))-1/2*d^3*(a+b*arccosh(c*x))^2/b+d^3*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))+1/2*b*d^3*polylog(2,-exp(2*arccosh(c*x))),1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x^2,x,7,61/25*b*c*d^3*sqrt(c*x-1)*sqrt(c*x+1)-7/25*b*c^3*d^3*x^2*sqrt(c*x-1)*sqrt(c*x+1)+1/25*b*c^5*d^3*x^4*sqrt(c*x-1)*sqrt(c*x+1)-d^3*(a+b*arccosh(c*x))/x-3*c^2*d^3*x*(a+b*arccosh(c*x))+c^4*d^3*x^3*(a+b*arccosh(c*x))-1/5*c^6*d^3*x^5*(a+b*arccosh(c*x))+b*c*d^3*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x^3,x,15,-3/32*b*c^3*d^3*x*sqrt(c*x-1)*sqrt(c*x+1)-7/16*b*c^3*d^3*x*(c*x-1)^(3/2)*(c*x+1)^(3/2)+1/2*b*c*d^3*(c*x-1)^(5/2)*(c*x+1)^(5/2)/x+3/32*b*c^2*d^3*arccosh(c*x)-3/2*c^2*d^3*(-c^2*x^2+1)*(a+b*arccosh(c*x))-3/4*c^2*d^3*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))-1/2*d^3*(-c^2*x^2+1)^3*(a+b*arccosh(c*x))/x^2+3/2*c^2*d^3*(a+b*arccosh(c*x))^2/b-3*c^2*d^3*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))-3/2*b*c^2*d^3*polylog(2,-exp(2*arccosh(c*x))),1],
[(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x))/x^4,x,8,-25/9*b*c^3*d^3*sqrt(c*x-1)*sqrt(c*x+1)+1/6*b*c*d^3*sqrt(c*x-1)*sqrt(c*x+1)/x^2+1/9*b*c^5*d^3*x^2*sqrt(c*x-1)*sqrt(c*x+1)-1/3*d^3*(a+b*arccosh(c*x))/x^3+3*c^2*d^3*(a+b*arccosh(c*x))/x+3*c^4*d^3*x*(a+b*arccosh(c*x))-1/3*c^6*d^3*x^3*(a+b*arccosh(c*x))-17/6*b*c^3*d^3*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,9,11/9*b*sqrt(c*x-1)*sqrt(c*x+1)/c^5/d+1/9*b*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c^3/d-x*(a+b*arccosh(c*x))/c^4/d-1/3*x^3*(a+b*arccosh(c*x))/c^2/d+2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c^5/d+b*polylog(2,-exp(arccosh(c*x)))/c^5/d-b*polylog(2,exp(arccosh(c*x)))/c^5/d,1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,6,1/4*b*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3/d+1/4*b*arccosh(c*x)/c^4/d-1/2*x^2*(a+b*arccosh(c*x))/c^2/d+1/2*(a+b*arccosh(c*x))^2/b/c^4/d-(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/c^4/d-1/2*b*polylog(2,exp(2*arccosh(c*x)))/c^4/d,1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,6,b*sqrt(c*x-1)*sqrt(c*x+1)/c^3/d-x*(a+b*arccosh(c*x))/c^2/d+2*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c^3/d+b*polylog(2,-exp(arccosh(c*x)))/c^3/d-b*polylog(2,exp(arccosh(c*x)))/c^3/d,1],
[x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,3,1/2*(a+b*arccosh(c*x))^2/b/c^2/d-(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/c^2/d-1/2*b*polylog(2,exp(2*arccosh(c*x)))/c^2/d,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))/x/(-c^2*d*x^2+d),x,5,2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))/d+1/2*b*polylog(2,-exp(2*arccosh(c*x)))/d-1/2*b*polylog(2,exp(2*arccosh(c*x)))/d,1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d),x,7,-(a+b*arccosh(c*x))/d/x+b*c*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d+2*c*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/d+b*c*polylog(2,-exp(arccosh(c*x)))/d-b*c*polylog(2,exp(arccosh(c*x)))/d,1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d),x,8,1/2*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d/x-1/2*(a+b*arccosh(c*x))/d/x^2+2*c^2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))/d+1/2*b*c^2*polylog(2,-exp(2*arccosh(c*x)))/d-1/2*b*c^2*polylog(2,exp(2*arccosh(c*x)))/d,1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d),x,9,1/6*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d/x^2-1/3*(a+b*arccosh(c*x))/d/x^3-c^2*(a+b*arccosh(c*x))/d/x+7/6*b*c^3*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d+2*c^3*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/d+b*c^3*polylog(2,-exp(arccosh(c*x)))/d-b*c^3*polylog(2,exp(arccosh(c*x)))/d,1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,9,-1/2*b*x^2/c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)-1/2*b*sqrt(c*x-1)*sqrt(c*x+1)/c^5/d^2+3/2*x*(a+b*arccosh(c*x))/c^4/d^2+1/2*x^3*(a+b*arccosh(c*x))/c^2/d^2/(-c^2*x^2+1)-3*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c^5/d^2-3/2*b*polylog(2,-exp(arccosh(c*x)))/c^5/d^2+3/2*b*polylog(2,exp(arccosh(c*x)))/c^5/d^2,1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,6,-1/2*b*x/c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)+1/2*b*arccosh(c*x)/c^4/d^2+1/2*x^2*(a+b*arccosh(c*x))/c^2/d^2/(-c^2*x^2+1)-1/2*(a+b*arccosh(c*x))^2/b/c^4/d^2+(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/c^4/d^2+1/2*b*polylog(2,exp(2*arccosh(c*x)))/c^4/d^2,1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,6,-1/2*b/c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)+1/2*x*(a+b*arccosh(c*x))/c^2/d^2/(-c^2*x^2+1)-(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c^3/d^2-1/2*b*polylog(2,-exp(arccosh(c*x)))/c^3/d^2+1/2*b*polylog(2,exp(arccosh(c*x)))/c^3/d^2,1],
[x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,2,-1/2*b*x/c/d^2/sqrt(c*x-1)/sqrt(c*x+1)+1/2*(a+b*arccosh(c*x))/c^2/d^2/(-c^2*x^2+1),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))/x/(-c^2*d*x^2+d)^2,x,7,-1/2*b*c*x/d^2/sqrt(c*x-1)/sqrt(c*x+1)+1/2*(a+b*arccosh(c*x))/d^2/(-c^2*x^2+1)+2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))/d^2+1/2*b*polylog(2,-exp(2*arccosh(c*x)))/d^2-1/2*b*polylog(2,exp(2*arccosh(c*x)))/d^2,1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^2,x,11,-1/2*b*c/d^2/sqrt(c*x-1)/sqrt(c*x+1)-(a+b*arccosh(c*x))/d^2/x+1/2*c^2*x*(a+b*arccosh(c*x))/d^2/(-c^2*x^2+1)+b*c*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d^2+3*c*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/d^2+3/2*b*c*polylog(2,-exp(arccosh(c*x)))/d^2-3/2*b*c*polylog(2,exp(arccosh(c*x)))/d^2,1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^2,x,10,-1/2*b*c/d^2/x/sqrt(c*x-1)/sqrt(c*x+1)-1/2*(a+b*arccosh(c*x))/d^2/x^2+1/2*c^2*(a+b*arccosh(c*x))/d^2/(-c^2*x^2+1)+4*c^2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))/d^2+b*c^2*polylog(2,-exp(2*arccosh(c*x)))/d^2-b*c^2*polylog(2,exp(2*arccosh(c*x)))/d^2,1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^2,x,13,-1/3*b*c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)-1/6*b*c/d^2/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/3*(a+b*arccosh(c*x))/d^2/x^3-2*c^2*(a+b*arccosh(c*x))/d^2/x+1/2*c^4*x*(a+b*arccosh(c*x))/d^2/(-c^2*x^2+1)+13/6*b*c^3*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d^2+5*c^3*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/d^2+5/2*b*c^3*polylog(2,-exp(arccosh(c*x)))/d^2-5/2*b*c^3*polylog(2,exp(arccosh(c*x)))/d^2,1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,9,1/12*b/c^5/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)+5/8*b/c^5/d^3/sqrt(c*x-1)/sqrt(c*x+1)+1/4*x^3*(a+b*arccosh(c*x))/c^2/d^3/(-c^2*x^2+1)^2-3/8*x*(a+b*arccosh(c*x))/c^4/d^3/(-c^2*x^2+1)+3/4*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c^5/d^3+3/8*b*polylog(2,-exp(arccosh(c*x)))/c^5/d^3-3/8*b*polylog(2,exp(arccosh(c*x)))/c^5/d^3,1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,4,1/12*b*x^3/c/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)+1/4*b*x/c^3/d^3/sqrt(c*x-1)/sqrt(c*x+1)-1/4*b*arccosh(c*x)/c^4/d^3+1/4*x^4*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)^2,1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,8,1/12*b/c^3/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)+1/8*b/c^3/d^3/sqrt(c*x-1)/sqrt(c*x+1)+1/4*x*(a+b*arccosh(c*x))/c^2/d^3/(-c^2*x^2+1)^2-1/8*x*(a+b*arccosh(c*x))/c^2/d^3/(-c^2*x^2+1)-1/4*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c^3/d^3-1/8*b*polylog(2,-exp(arccosh(c*x)))/c^3/d^3+1/8*b*polylog(2,exp(arccosh(c*x)))/c^3/d^3,1],
[x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,3,1/12*b*x/c/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)-1/6*b*x/c/d^3/sqrt(c*x-1)/sqrt(c*x+1)+1/4*(a+b*arccosh(c*x))/c^2/d^3/(-c^2*x^2+1)^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],
[(a+b*arccosh(c*x))/x/(-c^2*d*x^2+d)^3,x,10,1/12*b*c*x/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)-2/3*b*c*x/d^3/sqrt(c*x-1)/sqrt(c*x+1)+1/4*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)^2+1/2*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)+2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))/d^3+1/2*b*polylog(2,-exp(2*arccosh(c*x)))/d^3-1/2*b*polylog(2,exp(2*arccosh(c*x)))/d^3,1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^3,x,13,1/12*b*c/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)-7/8*b*c/d^3/sqrt(c*x-1)/sqrt(c*x+1)-(a+b*arccosh(c*x))/d^3/x+1/4*c^2*x*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)^2+7/8*c^2*x*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)+b*c*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d^3+15/4*c*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/d^3+15/8*b*c*polylog(2,-exp(arccosh(c*x)))/d^3-15/8*b*c*polylog(2,exp(arccosh(c*x)))/d^3,1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^3,x,16,1/12*b*c^3*x/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)-7/6*b*c^3*x/d^3/sqrt(c*x-1)/sqrt(c*x+1)+1/2*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d^3/x-1/2*(a+b*arccosh(c*x))/d^3/x^2+1/4*c^2*(-2*c^2*x^2+3)^2*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)^2+6*c^2*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))/d^3-b*c^2*sqrt(c^2*x^2-1)*arctanh(c*x/sqrt(c^2*x^2-1))/d^3/sqrt(c*x-1)/sqrt(c*x+1)+3/2*b*c^2*polylog(2,-exp(2*arccosh(c*x)))/d^3-3/2*b*c^2*polylog(2,exp(2*arccosh(c*x)))/d^3,1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^3,x,15,-1/12*b*c^3/d^3/(c*x-1)^(3/2)/(c*x+1)^(3/2)+1/6*b*c/d^3/x^2/(c*x-1)^(3/2)/(c*x+1)^(3/2)-29/24*b*c^3/d^3/sqrt(c*x-1)/sqrt(c*x+1)-1/3*(a+b*arccosh(c*x))/d^3/x^3-3*c^2*(a+b*arccosh(c*x))/d^3/x+1/4*c^4*x*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)^2+11/8*c^4*x*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)+19/6*b*c^3*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d^3+35/4*c^3*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/d^3+35/8*b*c^3*polylog(2,-exp(arccosh(c*x)))/d^3-35/8*b*c^3*polylog(2,exp(arccosh(c*x)))/d^3,1],
[x^4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,8,1/32*b*x^2*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/96*b*x^4*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/36*b*c*x^6*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/16*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^4-1/24*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+1/6*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/32*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^5/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,6,1/16*b*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/16*b*c*x^4*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/8*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+1/4*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/16*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/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],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^2,x,4,-sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x+1/2*c*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/sqrt(c*x-1)/sqrt(c*x+1)+b*c*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^4,x,4,-1/6*b*c*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/d/x^3-1/3*b*c^3*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^6,x,4,-1/20*b*c*sqrt(-c^2*d*x^2+d)/x^4/sqrt(c*x-1)/sqrt(c*x+1)+1/30*b*c^3*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/5*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/d/x^5-2/15*c^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/d/x^3-2/15*b*c^5*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^8,x,4,-1/42*b*c*sqrt(-c^2*d*x^2+d)/x^6/sqrt(c*x-1)/sqrt(c*x+1)+1/140*b*c^3*sqrt(-c^2*d*x^2+d)/x^4/sqrt(c*x-1)/sqrt(c*x+1)+2/105*b*c^5*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/7*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/d/x^7-4/35*c^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/d/x^5-8/105*c^4*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/d/x^3-8/105*b*c^7*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,3,8/105*b*x*sqrt(-c^2*d*x^2+d)/c^5/sqrt(c*x-1)/sqrt(c*x+1)+4/315*b*x^3*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/175*b*x^5*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/49*b*c*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/c^6/d+2/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/c^6/d^2-1/7*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/c^6/d^3,1],
[x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,3,2/15*b*x*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/45*b*x^3*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/25*b*c*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/c^4/d+1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/c^4/d^2,1],
[x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,2,1/3*b*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/9*b*c*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/c^2/d,1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x,x,6,-b*c*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+I*b*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-I*b*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^3,x,6,-1/2*b*c*sqrt(-c^2*d*x^2+d)/x/sqrt(c*x-1)/sqrt(c*x+1)-1/2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^2+c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-1/2*I*b*c^2*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+1/2*I*b*c^2*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^5,x,8,-1/12*b*c*sqrt(-c^2*d*x^2+d)/x^3/sqrt(c*x-1)/sqrt(c*x+1)+1/8*b*c^3*sqrt(-c^2*d*x^2+d)/x/sqrt(c*x-1)/sqrt(c*x+1)-1/4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^4+1/8*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^2+1/4*c^4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-1/8*I*b*c^4*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+1/8*I*b*c^4*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^4*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,12,3/256*b*d*x^2*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/256*b*d*x^4*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/32*b*c*d*x^6*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/64*b*c^3*d*x^8*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-3/128*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^4-1/64*d*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+1/16*d*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/8*x^5*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))-3/256*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^5/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,10,1/32*b*d*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-7/96*b*c*d*x^4*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/36*b*c^3*d*x^6*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/16*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+1/8*d*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/6*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))-1/32*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/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],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^2,x,6,1/4*b*c^3*d*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-3/2*c^2*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x+3/4*c*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/sqrt(c*x-1)/sqrt(c*x+1)+b*c*d*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^4,x,8,-1/6*b*c*d*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)+c^2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x-1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^3-1/2*c^3*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/sqrt(c*x-1)/sqrt(c*x+1)-4/3*b*c^3*d*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^6,x,4,-1/20*b*c*d*sqrt(-c^2*d*x^2+d)/x^4/sqrt(c*x-1)/sqrt(c*x+1)+1/5*b*c^3*d*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/d/x^5+1/5*b*c^5*d*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^8,x,5,-1/42*b*c*d*sqrt(-c^2*d*x^2+d)/x^6/sqrt(c*x-1)/sqrt(c*x+1)+2/35*b*c^3*d*sqrt(-c^2*d*x^2+d)/x^4/sqrt(c*x-1)/sqrt(c*x+1)-1/70*b*c^5*d*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/7*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/d/x^7-2/35*c^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/d/x^5+2/35*b*c^7*d*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^10,x,5,-1/72*b*c*d*sqrt(-c^2*d*x^2+d)/x^8/sqrt(c*x-1)/sqrt(c*x+1)+5/189*b*c^3*d*sqrt(-c^2*d*x^2+d)/x^6/sqrt(c*x-1)/sqrt(c*x+1)-1/420*b*c^5*d*sqrt(-c^2*d*x^2+d)/x^4/sqrt(c*x-1)/sqrt(c*x+1)-2/315*b*c^7*d*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/9*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/d/x^9-4/63*c^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/d/x^7-8/315*c^4*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/d/x^5+8/315*b*c^9*d*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^12,x,4,-1/110*b*c*d*sqrt(-c^2*d*x^2+d)/x^10/sqrt(c*x-1)/sqrt(c*x+1)+1/66*b*c^3*d*sqrt(-c^2*d*x^2+d)/x^8/sqrt(c*x-1)/sqrt(c*x+1)-1/1386*b*c^5*d*sqrt(-c^2*d*x^2+d)/x^6/sqrt(c*x-1)/sqrt(c*x+1)-1/770*b*c^7*d*sqrt(-c^2*d*x^2+d)/x^4/sqrt(c*x-1)/sqrt(c*x+1)-4/1155*b*c^9*d*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/11*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/d/x^11-2/33*c^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/d/x^9-8/231*c^4*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/d/x^7-16/1155*c^6*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/d/x^5+16/1155*b*c^11*d*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^7*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,4,16/1155*b*d*x*sqrt(-c^2*d*x^2+d)/c^7/sqrt(c*x-1)/sqrt(c*x+1)+8/3465*b*d*x^3*sqrt(-c^2*d*x^2+d)/c^5/sqrt(c*x-1)/sqrt(c*x+1)+2/1925*b*d*x^5*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/1617*b*d*x^7*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-4/297*b*c*d*x^9*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/121*b*c^3*d*x^11*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/c^8/d+3/7*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/c^8/d^2-1/3*(-c^2*d*x^2+d)^(9/2)*(a+b*arccosh(c*x))/c^8/d^3+1/11*(-c^2*d*x^2+d)^(11/2)*(a+b*arccosh(c*x))/c^8/d^4,1],
[x^5*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,4,8/315*b*d*x*sqrt(-c^2*d*x^2+d)/c^5/sqrt(c*x-1)/sqrt(c*x+1)+4/945*b*d*x^3*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/525*b*d*x^5*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-10/441*b*c*d*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/81*b*c^3*d*x^9*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/c^6/d+2/7*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/c^6/d^2-1/9*(-c^2*d*x^2+d)^(9/2)*(a+b*arccosh(c*x))/c^6/d^3,1],
[x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,4,2/35*b*d*x*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/105*b*d*x^3*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-8/175*b*c*d*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/49*b*c^3*d*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/c^4/d+1/7*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/c^4/d^2,1],
[x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,3,1/5*b*d*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-2/15*b*c*d*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/25*b*c^3*d*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/c^2/d,1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x,x,8,-4/3*b*c*d*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/9*b*c^3*d*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))-2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+I*b*d*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-I*b*d*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^3,x,9,-1/2*b*c*d*sqrt(-c^2*d*x^2+d)/x/sqrt(c*x-1)/sqrt(c*x+1)+b*c^3*d*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-3/2*c^2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^2+3*c^2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-3/2*I*b*c^2*d*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+3/2*I*b*c^2*d*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^5,x,9,-1/12*b*c*d*sqrt(-c^2*d*x^2+d)/x^3/sqrt(c*x-1)/sqrt(c*x+1)+5/8*b*c^3*d*sqrt(-c^2*d*x^2+d)/x/sqrt(c*x-1)/sqrt(c*x+1)+3/8*c^2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^2-1/4*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^4-3/4*c^4*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+3/8*I*b*c^4*d*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-3/8*I*b*c^4*d*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^4*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,16,3/512*b*d^2*x^2*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/512*b*d^2*x^4*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-31/960*b*c*d^2*x^6*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+21/640*b*c^3*d^2*x^8*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/100*b*c^5*d^2*x^10*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-3/256*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^4-1/128*d^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+1/32*d^2*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/16*d*x^5*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))+1/10*x^5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))-3/512*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^5/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,14,5/256*b*d^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-59/768*b*c*d^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+17/288*b*c^3*d^2*x^6*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/64*b*c^5*d^2*x^8*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-5/128*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+5/64*d^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+5/48*d*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))+1/8*x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))-5/256*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/sqrt(c*x-1)/sqrt(c*x+1),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)^(5/2)*(a+b*arccosh(c*x))/x^2,x,8,-1/16*b*c^3*d^2*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/4*b*c^5*d^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-5/16*b*c*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)-15/8*c^2*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-5/4*c^2*d*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))-(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x+15/16*c*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/sqrt(c*x-1)/sqrt(c*x+1)+b*c*d^2*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^4,x,10,-1/6*b*c*d^2*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/4*b*c^5*d^2*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+5/2*c^4*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+5/3*c^2*d*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x-1/3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^3-5/4*c^3*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/sqrt(c*x-1)/sqrt(c*x+1)-7/3*b*c^3*d^2*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^6,x,12,-1/20*b*c*d^2*sqrt(-c^2*d*x^2+d)/x^4/sqrt(c*x-1)/sqrt(c*x+1)+11/30*b*c^3*d^2*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-c^4*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x+1/3*c^2*d*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^3-1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^5+1/2*c^5*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/sqrt(c*x-1)/sqrt(c*x+1)+23/15*b*c^5*d^2*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^8,x,4,-1/42*b*c*d^2*sqrt(-c^2*d*x^2+d)/x^6/sqrt(c*x-1)/sqrt(c*x+1)+3/28*b*c^3*d^2*sqrt(-c^2*d*x^2+d)/x^4/sqrt(c*x-1)/sqrt(c*x+1)-3/14*b*c^5*d^2*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/7*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/d/x^7-1/7*b*c^7*d^2*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^10,x,6,-1/189*b*c^3*d^2*sqrt(-c^2*d*x^2+d)/x^6/sqrt(c*x-1)/sqrt(c*x+1)+1/42*b*c^5*d^2*sqrt(-c^2*d*x^2+d)/x^4/sqrt(c*x-1)/sqrt(c*x+1)-1/21*b*c^7*d^2*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/72*b*c*d^2*(c*x-1)^(7/2)*(c*x+1)^(7/2)*sqrt(-c^2*d*x^2+d)/x^8-1/9*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/d/x^9-2/63*c^2*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/d/x^7-2/63*b*c^9*d^2*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^12,x,5,-1/110*b*c*d^2*sqrt(-c^2*d*x^2+d)/x^10/sqrt(c*x-1)/sqrt(c*x+1)+23/792*b*c^3*d^2*sqrt(-c^2*d*x^2+d)/x^8/sqrt(c*x-1)/sqrt(c*x+1)-113/4158*b*c^5*d^2*sqrt(-c^2*d*x^2+d)/x^6/sqrt(c*x-1)/sqrt(c*x+1)+1/924*b*c^7*d^2*sqrt(-c^2*d*x^2+d)/x^4/sqrt(c*x-1)/sqrt(c*x+1)+2/693*b*c^9*d^2*sqrt(-c^2*d*x^2+d)/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/11*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/d/x^11-4/99*c^2*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/d/x^9-8/693*c^4*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/d/x^7-8/693*b*c^11*d^2*sqrt(-c^2*d*x^2+d)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^7*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,4,16/3003*b*d^2*x*sqrt(-c^2*d*x^2+d)/c^7/sqrt(c*x-1)/sqrt(c*x+1)+8/9009*b*d^2*x^3*sqrt(-c^2*d*x^2+d)/c^5/sqrt(c*x-1)/sqrt(c*x+1)+2/5005*b*d^2*x^5*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+5/21021*b*d^2*x^7*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-53/3861*b*c*d^2*x^9*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+27/1573*b*c^3*d^2*x^11*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/169*b*c^5*d^2*x^13*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/7*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/c^8/d+1/3*(-c^2*d*x^2+d)^(9/2)*(a+b*arccosh(c*x))/c^8/d^2-3/11*(-c^2*d*x^2+d)^(11/2)*(a+b*arccosh(c*x))/c^8/d^3+1/13*(-c^2*d*x^2+d)^(13/2)*(a+b*arccosh(c*x))/c^8/d^4,1],
[x^5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,4,8/693*b*d^2*x*sqrt(-c^2*d*x^2+d)/c^5/sqrt(c*x-1)/sqrt(c*x+1)+4/2079*b*d^2*x^3*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/1155*b*d^2*x^5*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-113/4851*b*c*d^2*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+23/891*b*c^3*d^2*x^9*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/121*b*c^5*d^2*x^11*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/7*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/c^6/d+2/9*(-c^2*d*x^2+d)^(9/2)*(a+b*arccosh(c*x))/c^6/d^2-1/11*(-c^2*d*x^2+d)^(11/2)*(a+b*arccosh(c*x))/c^6/d^3,1],
[x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,4,2/63*b*d^2*x*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/189*b*d^2*x^3*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/21*b*c*d^2*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+19/441*b*c^3*d^2*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/81*b*c^5*d^2*x^9*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/7*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/c^4/d+1/9*(-c^2*d*x^2+d)^(9/2)*(a+b*arccosh(c*x))/c^4/d^2,1],
[x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,3,1/7*b*d^2*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/7*b*c*d^2*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+3/35*b*c^3*d^2*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/49*b*c^5*d^2*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/7*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))/c^2/d,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x,x,11,-23/15*b*c*d^2*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+11/45*b*c^3*d^2*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/25*b*c^5*d^2*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/3*d*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))+1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))-2*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+I*b*d^2*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-I*b*d^2*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^3,x,11,-1/2*b*c*d^2*sqrt(-c^2*d*x^2+d)/x/sqrt(c*x-1)/sqrt(c*x+1)+7/3*b*c^3*d^2*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/9*b*c^5*d^2*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-5/2*c^2*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-5/6*c^2*d*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))-1/2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^2+5*c^2*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-5/2*I*b*c^2*d^2*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+5/2*I*b*c^2*d^2*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^5,x,12,-1/12*b*c*d^2*sqrt(-c^2*d*x^2+d)/x^3/sqrt(c*x-1)/sqrt(c*x+1)+9/8*b*c^3*d^2*sqrt(-c^2*d*x^2+d)/x/sqrt(c*x-1)/sqrt(c*x+1)-b*c^5*d^2*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+15/8*c^4*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+5/8*c^2*d*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/x^2-1/4*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/x^4-15/4*c^4*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+15/8*I*b*c^4*d^2*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-15/8*I*b*c^4*d^2*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^4*(a+b*arccosh(c*x))/sqrt(-c^2*d*x^2+d),x,6,3/16*b*x^2*sqrt(-c^2*d*x^2+d)/c^3/d/sqrt(c*x-1)/sqrt(c*x+1)+1/16*b*x^4*sqrt(-c^2*d*x^2+d)/c/d/sqrt(c*x-1)/sqrt(c*x+1)-3/8*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^4/d-1/4*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2/d-3/16*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^5/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^3*(a+b*arccosh(c*x))/sqrt(-c^2*d*x^2+d),x,4,2/3*b*x*sqrt(-c^2*d*x^2+d)/c^3/d/sqrt(c*x-1)/sqrt(c*x+1)+1/9*b*x^3*sqrt(-c^2*d*x^2+d)/c/d/sqrt(c*x-1)/sqrt(c*x+1)-2/3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^4/d-1/3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2/d,1],
[x^2*(a+b*arccosh(c*x))/sqrt(-c^2*d*x^2+d),x,4,1/4*b*x^2*sqrt(-c^2*d*x^2+d)/c/d/sqrt(c*x-1)/sqrt(c*x+1)-1/2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2/d-1/4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[x*(a+b*arccosh(c*x))/sqrt(-c^2*d*x^2+d),x,2,b*x*sqrt(-c^2*d*x^2+d)/c/d/sqrt(c*x-1)/sqrt(c*x+1)-sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2/d,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))/x/sqrt(-c^2*d*x^2+d),x,4,-2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)+I*b*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)-I*b*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/x^2/sqrt(-c^2*d*x^2+d),x,2,-sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d/x+b*c*sqrt(-c^2*d*x^2+d)*ln(x)/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/x^3/sqrt(-c^2*d*x^2+d),x,6,-1/2*b*c*sqrt(-c^2*d*x^2+d)/d/x/sqrt(c*x-1)/sqrt(c*x+1)-1/2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d/x^2-c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)+1/2*I*b*c^2*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)-1/2*I*b*c^2*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/x^4/sqrt(-c^2*d*x^2+d),x,4,-1/6*b*c*sqrt(-c^2*d*x^2+d)/d/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d/x^3-2/3*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d/x+2/3*b*c^3*sqrt(-c^2*d*x^2+d)*ln(x)/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^5*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,5,5/3*b*x*sqrt(c*x-1)*sqrt(c*x+1)/c^5/d/sqrt(-c^2*d*x^2+d)+1/9*b*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c^3/d/sqrt(-c^2*d*x^2+d)+(a+b*arccosh(c*x))/c^6/d/sqrt(-c^2*d*x^2+d)+2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^6/d^2-1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/c^6/d^3+b*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/c^6/d/sqrt(-c^2*d*x^2+d),1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,8,1/4*b*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c^3/d/sqrt(-c^2*d*x^2+d)+x^3*(a+b*arccosh(c*x))/c^2/d/sqrt(-c^2*d*x^2+d)+3/2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^4/d^2-3/4*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/b/c^5/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^5/d/sqrt(-c^2*d*x^2+d),1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,4,b*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3/d/sqrt(-c^2*d*x^2+d)+(a+b*arccosh(c*x))/c^4/d/sqrt(-c^2*d*x^2+d)+sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^4/d^2+b*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/c^4/d/sqrt(-c^2*d*x^2+d),1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,4,x*(a+b*arccosh(c*x))/c^2/d/sqrt(-c^2*d*x^2+d)+1/2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)-1/2*b*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c^2*x^2+1)/c^3/d/sqrt(-c^2*d*x^2+d),1],
[x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,2,(a+b*arccosh(c*x))/c^2/d/sqrt(-c^2*d*x^2+d)+b*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/c^2/d/sqrt(-c^2*d*x^2+d),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))/x/(-c^2*d*x^2+d)^(3/2),x,6,(a+b*arccosh(c*x))/d/sqrt(-c^2*d*x^2+d)-2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)+b*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/d/sqrt(-c^2*d*x^2+d)+I*b*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)-I*b*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^(3/2),x,5,(a+b*arccosh(c*x))/d/x/sqrt(-c^2*d*x^2+d)-2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d^2/x-b*c*sqrt(c*x-1)*sqrt(c*x+1)*ln(x)/d/sqrt(-c^2*d*x^2+d)-1/2*b*c*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c^2*x^2+1)/d/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^(3/2),x,9,1/2*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d/x/sqrt(-c^2*d*x^2+d)+3/2*c^2*(a+b*arccosh(c*x))/d/sqrt(-c^2*d*x^2+d)-1/2*(a+b*arccosh(c*x))/d/x^2/sqrt(-c^2*d*x^2+d)-3*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)+b*c^2*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/d/sqrt(-c^2*d*x^2+d)+3/2*I*b*c^2*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)-3/2*I*b*c^2*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^(3/2),x,5,1/6*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d/x^2/sqrt(-c^2*d*x^2+d)+(a+b*arccosh(c*x))/d/x^3/sqrt(-c^2*d*x^2+d)-4/3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d^2/x^3-8/3*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d^2/x-5/3*b*c^3*sqrt(c*x-1)*sqrt(c*x+1)*ln(x)/d/sqrt(-c^2*d*x^2+d)-1/2*b*c^3*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c^2*x^2+1)/d/sqrt(-c^2*d*x^2+d),1],
[x^5*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,5,-1/6*b*x/c^5/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)-b*x*sqrt(c*x-1)*sqrt(c*x+1)/c^5/d^2/sqrt(-c^2*d*x^2+d)+1/3*(a+b*arccosh(c*x))/c^6/d/(-c^2*d*x^2+d)^(3/2)-2*(a+b*arccosh(c*x))/c^6/d^2/sqrt(-c^2*d*x^2+d)-sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^6/d^3-11/6*b*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/c^6/d^2/sqrt(-c^2*d*x^2+d),1],
[x^4*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,8,-1/6*b/c^5/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*x^3*(a+b*arccosh(c*x))/c^2/d/(-c^2*d*x^2+d)^(3/2)-x*(a+b*arccosh(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^5/d^3/sqrt(c*x-1)/sqrt(c*x+1)+2/3*b*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c^2*x^2+1)/c^5/d^2/sqrt(-c^2*d*x^2+d),1],
[x^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,4,-1/6*b*x/c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*(a+b*arccosh(c*x))/c^4/d/(-c^2*d*x^2+d)^(3/2)-(a+b*arccosh(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)-5/6*b*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/c^4/d^2/sqrt(-c^2*d*x^2+d),1],
[x^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,4,-1/6*b/c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*x^3*(a+b*arccosh(c*x))/d/(-c^2*d*x^2+d)^(3/2)+1/6*b*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c^2*x^2+1)/c^3/d^2/sqrt(-c^2*d*x^2+d),1],
[x*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,3,-1/6*b*x/c/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*(a+b*arccosh(c*x))/c^2/d/(-c^2*d*x^2+d)^(3/2)+1/6*b*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/c^2/d^2/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))/x/(-c^2*d*x^2+d)^(5/2),x,9,-1/6*b*c*x/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*(a+b*arccosh(c*x))/d/(-c^2*d*x^2+d)^(3/2)+(a+b*arccosh(c*x))/d^2/sqrt(-c^2*d*x^2+d)-2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1)+7/6*b*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/d^2/sqrt(-c^2*d*x^2+d)+I*b*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1)-I*b*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/x^2/(-c^2*d*x^2+d)^(5/2),x,5,-1/6*b*c/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*(a+b*arccosh(c*x))/d/x/(-c^2*d*x^2+d)^(3/2)+4/3*(a+b*arccosh(c*x))/d^2/x/sqrt(-c^2*d*x^2+d)-8/3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d^3/x-b*c*sqrt(c*x-1)*sqrt(c*x+1)*ln(x)/d^2/sqrt(-c^2*d*x^2+d)-5/6*b*c*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c^2*x^2+1)/d^2/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccosh(c*x))/x^3/(-c^2*d*x^2+d)^(5/2),x,13,-1/6*b*c^3*x/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/2*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d^2/x/sqrt(-c^2*d*x^2+d)+5/6*c^2*(a+b*arccosh(c*x))/d/(-c^2*d*x^2+d)^(3/2)-1/2*(a+b*arccosh(c*x))/d/x^2/(-c^2*d*x^2+d)^(3/2)+5/2*c^2*(a+b*arccosh(c*x))/d^2/sqrt(-c^2*d*x^2+d)-5*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*arctan(exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1)+13/6*b*c^2*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/d^2/sqrt(-c^2*d*x^2+d)+5/2*I*b*c^2*sqrt(-c^2*d*x^2+d)*polylog(2,-I*exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1)-5/2*I*b*c^2*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/x^4/(-c^2*d*x^2+d)^(5/2),x,7,-1/6*b*c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/6*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d^2/x^2/sqrt(-c^2*d*x^2+d)+1/3*(a+b*arccosh(c*x))/d/x^3/(-c^2*d*x^2+d)^(3/2)+2*(a+b*arccosh(c*x))/d^2/x^3/sqrt(-c^2*d*x^2+d)-8/3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d^3/x^3-16/3*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d^3/x-8/3*b*c^3*sqrt(c*x-1)*sqrt(c*x+1)*ln(x)/d^2/sqrt(-c^2*d*x^2+d)-4/3*b*c^3*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c^2*x^2+1)/d^2/sqrt(-c^2*d*x^2+d),1],
[x^4*arccosh(a*x)/sqrt(-a^2*x^2+1),x,6,3/16*x^2*sqrt(-a*x+1)/a^3/sqrt(a*x-1)+1/16*x^4*sqrt(-a*x+1)/a/sqrt(a*x-1)-3/8*x*sqrt(-a^2*x^2+1)*arccosh(a*x)/a^4-1/4*x^3*sqrt(-a^2*x^2+1)*arccosh(a*x)/a^2-3/16*sqrt(-a*x+1)*arccosh(a*x)^2/a^5/sqrt(a*x-1),1],
[x^3*arccosh(a*x)/sqrt(-a^2*x^2+1),x,4,2/3*x*sqrt(-a*x+1)/a^3/sqrt(a*x-1)+1/9*x^3*sqrt(-a*x+1)/a/sqrt(a*x-1)-2/3*sqrt(-a^2*x^2+1)*arccosh(a*x)/a^4-1/3*x^2*sqrt(-a^2*x^2+1)*arccosh(a*x)/a^2,1],
[x^2*arccosh(a*x)/sqrt(-a^2*x^2+1),x,4,1/4*x^2*sqrt(-a*x+1)/a/sqrt(a*x-1)-1/2*x*sqrt(-a^2*x^2+1)*arccosh(a*x)/a^2-1/4*sqrt(-a*x+1)*arccosh(a*x)^2/a^3/sqrt(a*x-1),1],
[x*arccosh(a*x)/sqrt(-a^2*x^2+1),x,2,x*sqrt(-a*x+1)/a/sqrt(a*x-1)-sqrt(-a^2*x^2+1)*arccosh(a*x)/a^2,1],
[arccosh(a*x)/sqrt(-a^2*x^2+1),x,2,-1/2*sqrt(-a*x+1)*arccosh(a*x)^2/a/sqrt(a*x-1),1],
[arccosh(a*x)/x/sqrt(-a^2*x^2+1),x,4,-2*sqrt(-a*x+1)*arccosh(a*x)*arctan(exp(arccosh(a*x)))/sqrt(a*x-1)+I*sqrt(-a*x+1)*polylog(2,-I*exp(arccosh(a*x)))/sqrt(a*x-1)-I*sqrt(-a*x+1)*polylog(2,I*exp(arccosh(a*x)))/sqrt(a*x-1),1],
[arccosh(a*x)/x^2/sqrt(-a^2*x^2+1),x,2,-sqrt(-a^2*x^2+1)*arccosh(a*x)/x+a*sqrt(-a*x+1)*ln(x)/sqrt(a*x-1),1],
[arccosh(a*x)/x^3/sqrt(-a^2*x^2+1),x,6,-1/2*a*sqrt(-a*x+1)/x/sqrt(a*x-1)-1/2*sqrt(-a^2*x^2+1)*arccosh(a*x)/x^2-a^2*sqrt(-a*x+1)*arccosh(a*x)*arctan(exp(arccosh(a*x)))/sqrt(a*x-1)+1/2*I*a^2*sqrt(-a*x+1)*polylog(2,-I*exp(arccosh(a*x)))/sqrt(a*x-1)-1/2*I*a^2*sqrt(-a*x+1)*polylog(2,I*exp(arccosh(a*x)))/sqrt(a*x-1),1],
[arccosh(a*x)/x^4/sqrt(-a^2*x^2+1),x,4,-1/6*a*sqrt(-a*x+1)/x^2/sqrt(a*x-1)-1/3*sqrt(-a^2*x^2+1)*arccosh(a*x)/x^3-2/3*a^2*sqrt(-a^2*x^2+1)*arccosh(a*x)/x+2/3*a^3*sqrt(-a*x+1)*ln(x)/sqrt(a*x-1),1],
[(f*x)^(3/2)*(a+b*arccosh(c*x))/sqrt(-c^2*x^2+1),x,2,2/5*(f*x)^(5/2)*(a+b*arccosh(c*x))*hypergeom([1/2, 5/4],[9/4],c^2*x^2)/f-4/35*b*c*(f*x)^(7/2)*sqrt(-c*x+1)*hypergeom([1, 7/4, 7/4],[9/4, 11/4],c^2*x^2)/f^2/sqrt(c*x-1),1],
[(f*x)^(3/2)*(a+b*arccosh(c*x))/sqrt(-c^2*d*x^2+d),x,2,2/5*(f*x)^(5/2)*sqrt(-c^2*x^2+1)*(a+b*arccosh(c*x))*hypergeom([1/2, 5/4],[9/4],c^2*x^2)/f/sqrt(-c^2*d*x^2+d)+4/35*b*c*(f*x)^(7/2)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([1, 7/4, 7/4],[9/4, 11/4],c^2*x^2)/f^2/sqrt(-c^2*d*x^2+d),1],
[(f*x)^m*(-c^2*d*x^2+d)^3*(a+b*arccosh(c*x)),x,8,b*c*d^3*(m^4+27*m^3+284*m^2+1329*m+2271)*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)/f^2/(3+m)^2/(5+m)^2/(7+m)^2-b*c^3*d^3*(9+m)*(13+2*m)*(f*x)^(4+m)*sqrt(c*x-1)*sqrt(c*x+1)/f^4/(5+m)^2/(7+m)^2+b*c^5*d^3*(f*x)^(6+m)*sqrt(c*x-1)*sqrt(c*x+1)/f^6/(7+m)^2+d^3*(f*x)^(1+m)*(a+b*arccosh(c*x))/f/(1+m)-3*c^2*d^3*(f*x)^(3+m)*(a+b*arccosh(c*x))/f^3/(3+m)+3*c^4*d^3*(f*x)^(5+m)*(a+b*arccosh(c*x))/f^5/(5+m)-c^6*d^3*(f*x)^(7+m)*(a+b*arccosh(c*x))/f^7/(7+m)-3*b*c*d^3*(35*m^3+455*m^2+1813*m+2161)*(f*x)^(2+m)*sqrt(-c*x+1)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)/(3+m)^2/(5+m)^2/(7+m)^2/sqrt(c*x-1),1],
[(f*x)^m*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x)),x,7,b*c*d^2*(m^2+13*m+38)*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)/f^2/(3+m)^2/(5+m)^2-b*c^3*d^2*(f*x)^(4+m)*sqrt(c*x-1)*sqrt(c*x+1)/f^4/(5+m)^2+d^2*(f*x)^(1+m)*(a+b*arccosh(c*x))/f/(1+m)-2*c^2*d^2*(f*x)^(3+m)*(a+b*arccosh(c*x))/f^3/(3+m)+c^4*d^2*(f*x)^(5+m)*(a+b*arccosh(c*x))/f^5/(5+m)-b*c*d^2*(15*m^2+100*m+149)*(f*x)^(2+m)*sqrt(-c*x+1)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)/(3+m)^2/(5+m)^2/sqrt(c*x-1),1],
[(f*x)^m*(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,6,b*c*d*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)/f^2/(3+m)^2+d*(f*x)^(1+m)*(a+b*arccosh(c*x))/f/(1+m)-c^2*d*(f*x)^(3+m)*(a+b*arccosh(c*x))/f^3/(3+m)-b*c*d*(7+3*m)*(f*x)^(2+m)*sqrt(-c*x+1)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)/(3+m)^2/sqrt(c*x-1),1],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d),x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))/d/(-c^2*x^2+1),x),0],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^2,x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))/d^2/(-c^2*x^2+1)^2,x),0],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^3,x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))/d^3/(-c^2*x^2+1)^3,x),0],
[(f*x)^m*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,10,-b*c*d^2*(f*x)^(2+m)*sqrt(-c^2*d*x^2+d)/f^2/(2+m)/(6+m)/sqrt(c*x-1)/sqrt(c*x+1)-15*b*c*d^2*(f*x)^(2+m)*sqrt(-c^2*d*x^2+d)/f^2/(2+m)^2/(4+m)/(6+m)/sqrt(c*x-1)/sqrt(c*x+1)-5*b*c*d^2*(f*x)^(2+m)*sqrt(-c^2*d*x^2+d)/f^2/(6+m)/(m^2+6*m+8)/sqrt(c*x-1)/sqrt(c*x+1)+5*b*c^3*d^2*(f*x)^(4+m)*sqrt(-c^2*d*x^2+d)/f^4/(4+m)^2/(6+m)/sqrt(c*x-1)/sqrt(c*x+1)+2*b*c^3*d^2*(f*x)^(4+m)*sqrt(-c^2*d*x^2+d)/f^4/(4+m)/(6+m)/sqrt(c*x-1)/sqrt(c*x+1)-b*c^5*d^2*(f*x)^(6+m)*sqrt(-c^2*d*x^2+d)/f^6/(6+m)^2/sqrt(c*x-1)/sqrt(c*x+1)+15*d^2*(f*x)^(1+m)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/f/(6+m)/(m^2+6*m+8)+5*d*(f*x)^(1+m)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/f/(4+m)/(6+m)+(f*x)^(1+m)*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/f/(6+m)+15*d^3*(f*x)^(1+m)*sqrt(-c^2*x^2+1)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/f/(6+m)/(m^3+7*m^2+14*m+8)/sqrt(-c^2*d*x^2+d)+15*b*c*d^3*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)^2/(4+m)/(6+m)/sqrt(-c^2*d*x^2+d),1],
[(f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,7,-3*b*c*d*(f*x)^(2+m)*sqrt(-c^2*d*x^2+d)/f^2/(2+m)^2/(4+m)/sqrt(c*x-1)/sqrt(c*x+1)-b*c*d*(f*x)^(2+m)*sqrt(-c^2*d*x^2+d)/f^2/(m^2+6*m+8)/sqrt(c*x-1)/sqrt(c*x+1)+b*c^3*d*(f*x)^(4+m)*sqrt(-c^2*d*x^2+d)/f^4/(4+m)^2/sqrt(c*x-1)/sqrt(c*x+1)+3*d*(f*x)^(1+m)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/f/(m^2+6*m+8)+(f*x)^(1+m)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/f/(4+m)+3*d^2*(f*x)^(1+m)*sqrt(-c^2*x^2+1)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/f/(m^3+7*m^2+14*m+8)/sqrt(-c^2*d*x^2+d)+3*b*c*d^2*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)^2/(4+m)/sqrt(-c^2*d*x^2+d),1],
[(f*x)^m*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,4,-b*c*(f*x)^(2+m)*sqrt(-c^2*d*x^2+d)/f^2/(2+m)^2/sqrt(c*x-1)/sqrt(c*x+1)+(f*x)^(1+m)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/f/(2+m)+d*(f*x)^(1+m)*sqrt(-c^2*x^2+1)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/f/(m^2+3*m+2)/sqrt(-c^2*d*x^2+d)+b*c*d*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)^2/sqrt(-c^2*d*x^2+d),1],
[(f*x)^m*(a+b*arccosh(c*x))/sqrt(-c^2*d*x^2+d),x,2,(f*x)^(1+m)*sqrt(-c^2*x^2+1)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/f/(1+m)/sqrt(-c^2*d*x^2+d)+b*c*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/f^2/(m^2+3*m+2)/sqrt(-c^2*d*x^2+d),1],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,4,(f*x)^(1+m)*(a+b*arccosh(c*x))/d/f/sqrt(-c^2*d*x^2+d)-m*(f*x)^(1+m)*sqrt(-c^2*x^2+1)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/d/f/(1+m)/sqrt(-c^2*d*x^2+d)+b*c*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([1, 1+1/2*m],[2+1/2*m],c^2*x^2)/d/f^2/(2+m)/sqrt(-c^2*d*x^2+d)-b*c*m*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/d/f^2/(m^2+3*m+2)/sqrt(-c^2*d*x^2+d),1],
[(f*x)^m*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(5/2),x,6,1/3*(f*x)^(1+m)*(a+b*arccosh(c*x))/d/f/(-c^2*d*x^2+d)^(3/2)+1/3*(2-m)*(f*x)^(1+m)*(a+b*arccosh(c*x))/d^2/f/sqrt(-c^2*d*x^2+d)-1/3*(2-m)*m*(f*x)^(1+m)*sqrt(-c^2*x^2+1)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/d^2/f/(1+m)/sqrt(-c^2*d*x^2+d)+1/3*b*c*(2-m)*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([1, 1+1/2*m],[2+1/2*m],c^2*x^2)/d^2/f^2/(2+m)/sqrt(-c^2*d*x^2+d)+1/3*b*c*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([2, 1+1/2*m],[2+1/2*m],c^2*x^2)/d^2/f^2/(2+m)/sqrt(-c^2*d*x^2+d)-1/3*b*c*(2-m)*m*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/d^2/f^2/(m^2+3*m+2)/sqrt(-c^2*d*x^2+d),1],
[(f*x)^m*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)*(a+b*arccosh(c*x)),x,11,-15*b*c*(f*x)^(2+m)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)/f^2/(2+m)^2/(4+m)/(6+m)/sqrt(c*x-1)/sqrt(c*x+1)/(-c^2*x^2+1)^2-5*b*c*(f*x)^(2+m)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)/f^2/(6+m)/(m^2+6*m+8)/sqrt(c*x-1)/sqrt(c*x+1)/(-c^2*x^2+1)^2-b*c*(f*x)^(2+m)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)/f^2/(m^2+8*m+12)/sqrt(c*x-1)/sqrt(c*x+1)/(-c^2*x^2+1)^2+5*b*c^3*(f*x)^(4+m)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)/f^4/(4+m)^2/(6+m)/sqrt(c*x-1)/sqrt(c*x+1)/(-c^2*x^2+1)^2+2*b*c^3*(f*x)^(4+m)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)/f^4/(4+m)/(6+m)/sqrt(c*x-1)/sqrt(c*x+1)/(-c^2*x^2+1)^2-b*c^5*(f*x)^(6+m)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)/f^6/(6+m)^2/sqrt(c*x-1)/sqrt(c*x+1)/(-c^2*x^2+1)^2+(f*x)^(1+m)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)*(a+b*arccosh(c*x))/f/(6+m)+15*(f*x)^(1+m)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)*(a+b*arccosh(c*x))/f/(6+m)/(m^2+6*m+8)/(-c^2*x^2+1)^2+5*(f*x)^(1+m)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)*(a+b*arccosh(c*x))/f/(4+m)/(6+m)/(-c^2*x^2+1)+15*(f*x)^(1+m)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/f/(6+m)/(m^3+7*m^2+14*m+8)/(-c^2*x^2+1)^(5/2)+15*b*c*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*(c*d1*x+d1)^(5/2)*(-c*d2*x+d2)^(5/2)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)^2/(4+m)/(6+m)/(-c^2*x^2+1)^3,1],
[(f*x)^m*(c*d1*x+d1)^(3/2)*(-c*d2*x+d2)^(3/2)*(a+b*arccosh(c*x)),x,8,-3*b*c*(f*x)^(2+m)*(c*d1*x+d1)^(3/2)*(-c*d2*x+d2)^(3/2)/f^2/(2+m)^2/(4+m)/sqrt(c*x-1)/sqrt(c*x+1)/(-c^2*x^2+1)-b*c*(f*x)^(2+m)*(c*d1*x+d1)^(3/2)*(-c*d2*x+d2)^(3/2)/f^2/(m^2+6*m+8)/sqrt(c*x-1)/sqrt(c*x+1)/(-c^2*x^2+1)+b*c^3*(f*x)^(4+m)*(c*d1*x+d1)^(3/2)*(-c*d2*x+d2)^(3/2)/f^4/(4+m)^2/sqrt(c*x-1)/sqrt(c*x+1)/(-c^2*x^2+1)+(f*x)^(1+m)*(c*d1*x+d1)^(3/2)*(-c*d2*x+d2)^(3/2)*(a+b*arccosh(c*x))/f/(4+m)+3*(f*x)^(1+m)*(c*d1*x+d1)^(3/2)*(-c*d2*x+d2)^(3/2)*(a+b*arccosh(c*x))/f/(m^2+6*m+8)/(-c^2*x^2+1)+3*(f*x)^(1+m)*(c*d1*x+d1)^(3/2)*(-c*d2*x+d2)^(3/2)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/f/(m^3+7*m^2+14*m+8)/(-c^2*x^2+1)^(3/2)+3*b*c*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*(c*d1*x+d1)^(3/2)*(-c*d2*x+d2)^(3/2)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)^2/(4+m)/(-c^2*x^2+1)^2,1],
[(f*x)^m*sqrt(c*d1*x+d1)*sqrt(-c*d2*x+d2)*(a+b*arccosh(c*x)),x,5,-b*c*(f*x)^(2+m)*sqrt(c*d1*x+d1)*sqrt(-c*d2*x+d2)/f^2/(2+m)^2/sqrt(c*x-1)/sqrt(c*x+1)+(f*x)^(1+m)*sqrt(c*d1*x+d1)*sqrt(-c*d2*x+d2)*(a+b*arccosh(c*x))/f/(2+m)+(f*x)^(1+m)*sqrt(c*d1*x+d1)*sqrt(-c*d2*x+d2)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/f/(m^2+3*m+2)/sqrt(-c^2*x^2+1)+b*c*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(c*d1*x+d1)*sqrt(-c*d2*x+d2)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)^2/(-c^2*x^2+1),1],
[(f*x)^m*(a+b*arccosh(c*x))/sqrt(c*d1*x+d1)/sqrt(-c*d2*x+d2),x,3,(f*x)^(1+m)*sqrt(-c^2*x^2+1)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/f/(1+m)/sqrt(c*d1*x+d1)/sqrt(-c*d2*x+d2)+b*c*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/f^2/(m^2+3*m+2)/sqrt(c*d1*x+d1)/sqrt(-c*d2*x+d2),1],
[(f*x)^m*(a+b*arccosh(c*x))/(c*d1*x+d1)^(3/2)/(-c*d2*x+d2)^(3/2),x,5,(f*x)^(1+m)*(-c^2*x^2+1)*(a+b*arccosh(c*x))/f/(c*d1*x+d1)^(3/2)/(-c*d2*x+d2)^(3/2)-m*(f*x)^(1+m)*(-c^2*x^2+1)^(3/2)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/f/(1+m)/(c*d1*x+d1)^(3/2)/(-c*d2*x+d2)^(3/2)+b*c*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)*hypergeom([1, 1+1/2*m],[2+1/2*m],c^2*x^2)/f^2/(2+m)/(c*d1*x+d1)^(3/2)/(-c*d2*x+d2)^(3/2)-b*c*m*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)/(c*d1*x+d1)^(3/2)/(-c*d2*x+d2)^(3/2),1],
[(f*x)^m*(a+b*arccosh(c*x))/(c*d1*x+d1)^(5/2)/(-c*d2*x+d2)^(5/2),x,7,1/3*(f*x)^(1+m)*(-c^2*x^2+1)*(a+b*arccosh(c*x))/f/(c*d1*x+d1)^(5/2)/(-c*d2*x+d2)^(5/2)+1/3*(2-m)*(f*x)^(1+m)*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))/f/(c*d1*x+d1)^(5/2)/(-c*d2*x+d2)^(5/2)-1/3*(2-m)*m*(f*x)^(1+m)*(-c^2*x^2+1)^(5/2)*(a+b*arccosh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],c^2*x^2)/f/(1+m)/(c*d1*x+d1)^(5/2)/(-c*d2*x+d2)^(5/2)+1/3*b*c*(2-m)*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)^2*hypergeom([1, 1+1/2*m],[2+1/2*m],c^2*x^2)/f^2/(2+m)/(c*d1*x+d1)^(5/2)/(-c*d2*x+d2)^(5/2)+1/3*b*c*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)^2*hypergeom([2, 1+1/2*m],[2+1/2*m],c^2*x^2)/f^2/(2+m)/(c*d1*x+d1)^(5/2)/(-c*d2*x+d2)^(5/2)-1/3*b*c*(2-m)*m*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)^2*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],c^2*x^2)/f^2/(1+m)/(2+m)/(c*d1*x+d1)^(5/2)/(-c*d2*x+d2)^(5/2),1],
[(f*x)^m*arccosh(a*x)/sqrt(-a^2*x^2+1),x,2,(f*x)^(1+m)*arccosh(a*x)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],a^2*x^2)/f/(1+m)-a*(f*x)^(2+m)*sqrt(-a*x+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],a^2*x^2)/f^2/(m^2+3*m+2)/sqrt(a*x-1),1],
[x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2,x,10,-856/3375*b^2*sqrt(-c^2*d*x^2+d)/c^4+22/3375*b^2*x^2*sqrt(-c^2*d*x^2+d)/c^2+2/125*b^2*x^4*sqrt(-c^2*d*x^2+d)+4/15*b*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^3/sqrt(c*x-1)/sqrt(c*x+1)+2/45*b*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/sqrt(c*x-1)/sqrt(c*x+1)-2/25*b*c*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-2/15*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^4-1/15*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2+1/5*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2,1],
[x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2,x,11,-1/64*b^2*x*sqrt(-c^2*d*x^2+d)/c^2+1/32*b^2*x^3*sqrt(-c^2*d*x^2+d)-1/64*b^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/8*b*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/sqrt(c*x-1)/sqrt(c*x+1)-1/8*b*c*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-1/8*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2+1/4*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2-1/24*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c^3/sqrt(c*x-1)/sqrt(c*x+1),1],
[x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2,x,6,-14/27*b^2*sqrt(-c^2*d*x^2+d)/c^2+2/27*b^2*x^2*sqrt(-c^2*d*x^2+d)+2/3*b*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/sqrt(c*x-1)/sqrt(c*x+1)-2/9*b*c*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/c^2/d,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],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/x,x,10,2*b^2*sqrt(-c^2*d*x^2+d)-2*a*b*c*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-2*b^2*c*x*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/sqrt(c*x-1)/sqrt(c*x+1)+sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2-2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+2*I*b*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-2*I*b*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-2*I*b^2*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+2*I*b^2*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/x^2,x,6,-sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/x-c*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/sqrt(c*x-1)/sqrt(c*x+1)+1/3*c*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/sqrt(c*x-1)/sqrt(c*x+1)+2*b*c*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+b^2*c*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/x^3,x,10,-b*c*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x/sqrt(c*x-1)/sqrt(c*x+1)-1/2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/x^2+c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+b^2*c^2*sqrt(-c^2*d*x^2+d)*arctan(sqrt(c*x-1)*sqrt(c*x+1))/sqrt(c*x-1)/sqrt(c*x+1)-I*b*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+I*b*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+I*b^2*c^2*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-I*b^2*c^2*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/x^4,x,7,1/3*b^2*c^2*sqrt(-c^2*d*x^2+d)/x-1/3*b^2*c^3*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/sqrt(c*x-1)/sqrt(c*x+1)+1/3*b*c*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^2+1/3*c^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/sqrt(c*x-1)/sqrt(c*x+1)-1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/d/x^3-2/3*b*c^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-1/3*b^2*c^3*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x,18,-37384/385875*b^2*d*sqrt(-c^2*d*x^2+d)/c^4+3358/385875*b^2*d*x^2*sqrt(-c^2*d*x^2+d)/c^2+484/42875*b^2*d*x^4*sqrt(-c^2*d*x^2+d)-2/343*b^2*c^2*d*x^6*sqrt(-c^2*d*x^2+d)+4/35*b*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^3/sqrt(c*x-1)/sqrt(c*x+1)+2/105*b*d*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/sqrt(c*x-1)/sqrt(c*x+1)-16/175*b*c*d*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+2/49*b*c^3*d*x^7*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-2/35*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^4-1/35*d*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2+3/35*d*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2+1/7*x^4*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,1],
[x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x,19,7/1152*b^2*d*x*sqrt(-c^2*d*x^2+d)/c^2+43/1728*b^2*d*x^3*sqrt(-c^2*d*x^2+d)-1/108*b^2*c^2*d*x^5*sqrt(-c^2*d*x^2+d)+7/1152*b^2*d*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+1/16*b*d*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/sqrt(c*x-1)/sqrt(c*x+1)-7/48*b*c*d*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+1/18*b*c^3*d*x^6*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-1/16*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2+1/8*d*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2+1/6*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2-1/48*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c^3/sqrt(c*x-1)/sqrt(c*x+1),1],
[x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x,8,-16/75*b^2*d*sqrt(-c^2*d*x^2+d)/c^2-8/225*b^2*d*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)/c^2-2/125*b^2*d*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)/c^2+2/5*b*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/sqrt(c*x-1)/sqrt(c*x+1)-4/15*b*c*d*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+2/25*b*c^3*d*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/c^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],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x,x,16,68/27*b^2*d*sqrt(-c^2*d*x^2+d)-2/27*b^2*c^2*d*x^2*sqrt(-c^2*d*x^2+d)-2*a*b*c*d*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-2*b^2*c*d*x*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/sqrt(c*x-1)/sqrt(c*x+1)-2/3*b*c*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+2/9*b*c^3*d*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2+1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2-2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+2*I*b*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-2*I*b*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-2*I*b^2*d*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+2*I*b^2*d*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^2,x,11,-1/4*b^2*c^2*d*x*sqrt(-c^2*d*x^2+d)-5/4*b^2*c*d*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/sqrt(c*x-1)/sqrt(c*x+1)+3/2*b*c^3*d*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-b*c*d*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-3/2*c^2*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2-c*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/sqrt(c*x-1)/sqrt(c*x+1)-(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x+1/2*c*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/sqrt(c*x-1)/sqrt(c*x+1)+2*b*c*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+b^2*c*d*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^3,x,16,-2*b^2*c^2*d*sqrt(-c^2*d*x^2+d)+3*a*b*c^3*d*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+3*b^2*c^3*d*x*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/sqrt(c*x-1)/sqrt(c*x+1)-b*c*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x/sqrt(c*x-1)/sqrt(c*x+1)-b*c^3*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-3/2*c^2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2-1/2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^2+3*c^2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+b^2*c^2*d*sqrt(-c^2*d*x^2+d)*arctan(sqrt(c*x-1)*sqrt(c*x+1))/sqrt(c*x-1)/sqrt(c*x+1)-3*I*b*c^2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+3*I*b*c^2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+3*I*b^2*c^2*d*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-3*I*b^2*c^2*d*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^4,x,13,1/3*b^2*c^2*d*sqrt(-c^2*d*x^2+d)/x-1/3*b^2*c^3*d*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/sqrt(c*x-1)/sqrt(c*x+1)+1/3*b*c*d*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^2+c^2*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/x+4/3*c^3*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/sqrt(c*x-1)/sqrt(c*x+1)-1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x^3-1/3*c^3*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/sqrt(c*x-1)/sqrt(c*x+1)-8/3*b*c^3*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-4/3*b^2*c^3*d*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x,26,-33464/694575*b^2*d^2*sqrt(-c^2*d*x^2+d)/c^4+3358/694575*b^2*d^2*x^2*sqrt(-c^2*d*x^2+d)/c^2+484/77175*b^2*d^2*x^4*sqrt(-c^2*d*x^2+d)-10/3087*b^2*c^2*d^2*x^6*sqrt(-c^2*d*x^2+d)+8/8505*b^2*d^2*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)/c^4+2/4725*b^2*d^2*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)/c^4-20/3969*b^2*d^2*(-c*x+1)^3*(c*x+1)^3*sqrt(-c^2*d*x^2+d)/c^4+2/729*b^2*d^2*(-c*x+1)^4*(c*x+1)^4*sqrt(-c^2*d*x^2+d)/c^4+4/63*b*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^3/sqrt(c*x-1)/sqrt(c*x+1)+2/189*b*d^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/sqrt(c*x-1)/sqrt(c*x+1)-2/21*b*c*d^2*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+38/441*b*c^3*d^2*x^7*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-2/81*b*c^5*d^2*x^9*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-2/63*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^4-1/63*d^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2+1/21*d^2*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2+5/63*d*x^4*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2+1/9*x^4*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,1],
[x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x,30,359/36864*b^2*d^2*x*sqrt(-c^2*d*x^2+d)/c^2+1079/55296*b^2*d^2*x^3*sqrt(-c^2*d*x^2+d)-209/13824*b^2*c^2*d^2*x^5*sqrt(-c^2*d*x^2+d)+1/256*b^2*c^4*d^2*x^7*sqrt(-c^2*d*x^2+d)+35/9216*b^2*d^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/c^3/sqrt(c*x-1)/sqrt(c*x+1)+5/128*b*d^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/sqrt(c*x-1)/sqrt(c*x+1)-59/384*b*c*d^2*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+17/144*b*c^3*d^2*x^6*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-1/32*b*c^5*d^2*x^8*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-5/128*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2+5/64*d^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2+5/48*d*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2+1/8*x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2-5/384*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c^3/sqrt(c*x-1)/sqrt(c*x+1)-73/12288*b^2*d^2*sqrt(c^2*x^2-1)*sqrt(-c^2*d*x^2+d)*arctanh(c*x/sqrt(c^2*x^2-1))/c^3/(-c*x+1)/(c*x+1),1],
[x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x,8,-32/245*b^2*d^2*sqrt(-c^2*d*x^2+d)/c^2-16/735*b^2*d^2*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)/c^2-12/1225*b^2*d^2*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)/c^2-2/343*b^2*d^2*(-c*x+1)^3*(c*x+1)^3*sqrt(-c^2*d*x^2+d)/c^2+2/7*b*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/sqrt(c*x-1)/sqrt(c*x+1)-2/7*b*c*d^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+6/35*b*c^3*d^2*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-2/49*b*c^5*d^2*x^7*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-1/7*(-c^2*d*x^2+d)^(7/2)*(a+b*arccosh(c*x))^2/c^2/d,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x,15,245/1152*b^2*d^2*x*sqrt(-c^2*d*x^2+d)+65/1728*b^2*d^2*x*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)+1/108*b^2*d^2*x*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)+115/1152*b^2*d^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/c/sqrt(c*x-1)/sqrt(c*x+1)-5/16*b*c*d^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+5/48*b*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c-1/18*b*d^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c+5/16*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2+5/24*d*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2+1/6*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2-5/48*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x,x,24,1844/675*b^2*d^2*sqrt(-c^2*d*x^2+d)-2/27*b^2*c^2*d^2*x^2*sqrt(-c^2*d*x^2+d)-2*a*b*c*d^2*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+8/225*b^2*d^2*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)+2/125*b^2*d^2*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)-2*b^2*c*d^2*x*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/sqrt(c*x-1)/sqrt(c*x+1)-16/15*b*c*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+22/45*b*c^3*d^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-2/25*b*c^5*d^2*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2+1/3*d*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2+1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2-2*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+2*I*b^2*d^2*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-2*I*b^2*d^2*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-2*I*b*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+2*I*b*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^2,x,20,-31/64*b^2*c^2*d^2*x*sqrt(-c^2*d*x^2+d)-1/32*b^2*c^2*d^2*x*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)-89/64*b^2*c*d^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/sqrt(c*x-1)/sqrt(c*x+1)+15/8*b*c^3*d^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-b*c*d^2*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/8*b*c*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-15/8*c^2*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2-c*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/sqrt(c*x-1)/sqrt(c*x+1)-5/4*c^2*d*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2-(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x+5/8*c*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/sqrt(c*x-1)/sqrt(c*x+1)+2*b*c*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+b^2*c*d^2*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^3,x,23,-122/27*b^2*c^2*d^2*sqrt(-c^2*d*x^2+d)+2/27*b^2*c^4*d^2*x^2*sqrt(-c^2*d*x^2+d)+5*a*b*c^3*d^2*x*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+5*b^2*c^3*d^2*x*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/sqrt(c*x-1)/sqrt(c*x+1)-b*c*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x/sqrt(c*x-1)/sqrt(c*x+1)-1/3*b*c^3*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-2/9*b*c^5*d^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)-5/2*c^2*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2-5/6*c^2*d*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2-1/2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^2+5*c^2*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+b^2*c^2*d^2*sqrt(-c^2*d*x^2+d)*arctan(sqrt(c*x-1)*sqrt(c*x+1))/sqrt(c*x-1)/sqrt(c*x+1)-5*I*b^2*c^2*d^2*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+5*I*b^2*c^2*d^2*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-5*I*b*c^2*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+5*I*b*c^2*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^4,x,22,7/12*b^2*c^4*d^2*x*sqrt(-c^2*d*x^2+d)+1/3*b^2*c^2*d^2*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)/x+23/12*b^2*c^3*d^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/sqrt(c*x-1)/sqrt(c*x+1)-5/2*b*c^5*d^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1)+7/3*b*c^3*d^2*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/3*b*c*d^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/x^2+5/2*c^4*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2+7/3*c^3*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/sqrt(c*x-1)/sqrt(c*x+1)+5/3*c^2*d*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2/x-1/3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2/x^3-5/6*c^3*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/sqrt(c*x-1)/sqrt(c*x+1)-14/3*b*c^3*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)-7/3*b^2*c^3*d^2*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(2*arccosh(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^5*(a+b*arccosh(c*x))^2/sqrt(-c^2*d*x^2+d),x,10,-4144/3375*b^2*sqrt(-c^2*d*x^2+d)/c^6/d-272/3375*b^2*x^2*sqrt(-c^2*d*x^2+d)/c^4/d-2/125*b^2*x^4*sqrt(-c^2*d*x^2+d)/c^2/d+16/15*b*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^5/d/sqrt(c*x-1)/sqrt(c*x+1)+8/45*b*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^3/d/sqrt(c*x-1)/sqrt(c*x+1)+2/25*b*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/d/sqrt(c*x-1)/sqrt(c*x+1)-8/15*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^6/d-4/15*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^4/d-1/5*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2/d,1],
[x^4*(a+b*arccosh(c*x))^2/sqrt(-c^2*d*x^2+d),x,11,-15/64*b^2*x*sqrt(-c^2*d*x^2+d)/c^4/d-1/32*b^2*x^3*sqrt(-c^2*d*x^2+d)/c^2/d-15/64*b^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/c^5/d/sqrt(c*x-1)/sqrt(c*x+1)+3/8*b*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^3/d/sqrt(c*x-1)/sqrt(c*x+1)+1/8*b*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/d/sqrt(c*x-1)/sqrt(c*x+1)-3/8*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^4/d-1/4*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2/d-1/8*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c^5/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^3*(a+b*arccosh(c*x))^2/sqrt(-c^2*d*x^2+d),x,5,-40/27*b^2*sqrt(-c^2*d*x^2+d)/c^4/d-2/27*b^2*x^2*sqrt(-c^2*d*x^2+d)/c^2/d+4/3*b*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^3/d/sqrt(c*x-1)/sqrt(c*x+1)+2/9*b*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/d/sqrt(c*x-1)/sqrt(c*x+1)-2/3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^4/d-1/3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2/d,1],
[x^2*(a+b*arccosh(c*x))^2/sqrt(-c^2*d*x^2+d),x,6,-1/4*b^2*x*sqrt(-c^2*d*x^2+d)/c^2/d-1/4*b^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/c^3/d/sqrt(c*x-1)/sqrt(c*x+1)+1/2*b*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/d/sqrt(c*x-1)/sqrt(c*x+1)-1/2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2/d-1/6*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c^3/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[x*(a+b*arccosh(c*x))^2/sqrt(-c^2*d*x^2+d),x,1,-2*b^2*sqrt(-c^2*d*x^2+d)/c^2/d+2*b*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c/d/sqrt(c*x-1)/sqrt(c*x+1)-sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^2/d,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/x/sqrt(-c^2*d*x^2+d),x,6,-2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)+2*I*b*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)-2*I*b*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)-2*I*b^2*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)+2*I*b^2*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))^2/x^2/sqrt(-c^2*d*x^2+d),x,4,-sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/d/x-c*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/d/sqrt(c*x-1)/sqrt(c*x+1)+2*b*c*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)+b^2*c*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(2*arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))^2/x^3/sqrt(-c^2*d*x^2+d),x,10,-b*c*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d/x/sqrt(c*x-1)/sqrt(c*x+1)-1/2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/d/x^2-c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)+b^2*c^2*sqrt(-c^2*d*x^2+d)*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d/sqrt(c*x-1)/sqrt(c*x+1)+I*b*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)-I*b*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)-I*b^2*c^2*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)+I*b^2*c^2*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))^2/x^4/sqrt(-c^2*d*x^2+d),x,7,1/3*b^2*c^2*sqrt(-c^2*d*x^2+d)/d/x-1/3*b*c*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/d/x^2/sqrt(c*x-1)/sqrt(c*x+1)-1/3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/d/x^3-2/3*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/d/x-2/3*c^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/d/sqrt(c*x-1)/sqrt(c*x+1)+4/3*b*c^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1)+2/3*b^2*c^3*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(2*arccosh(c*x)))/d/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^4*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,13,1/4*b^2*x*(-c*x+1)*(c*x+1)/c^4/d/sqrt(-c^2*d*x^2+d)-1/4*b^2*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c^5/d/sqrt(-c^2*d*x^2+d)+1/2*b*x^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3/d/sqrt(-c^2*d*x^2+d)+x^3*(a+b*arccosh(c*x))^2/c^2/d/sqrt(-c^2*d*x^2+d)+sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/c^5/d/sqrt(-c^2*d*x^2+d)+3/2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^4/d^2-1/2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^3/b/c^5/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^5/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^5/d/sqrt(-c^2*d*x^2+d),1],
[x^3*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,8,-2*b^2*(-c*x+1)*(c*x+1)/c^4/d/sqrt(-c^2*d*x^2+d)+4*b^2*sqrt(-c^2*d*x^2+d)/c^4/d^2+2*b*x*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3/d/sqrt(-c^2*d*x^2+d)+x^2*(a+b*arccosh(c*x))^2/c^2/d/sqrt(-c^2*d*x^2+d)+2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/c^4/d^2+4*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c^4/d/sqrt(-c^2*d*x^2+d)+2*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x)))/c^4/d/sqrt(-c^2*d*x^2+d)-2*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(arccosh(c*x)))/c^4/d/sqrt(-c^2*d*x^2+d),1],
[x^2*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,6,x*(a+b*arccosh(c*x))^2/c^2/d/sqrt(-c^2*d*x^2+d)+sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/c^3/d/sqrt(-c^2*d*x^2+d)+1/3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)-2*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/c^3/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^3/d/sqrt(-c^2*d*x^2+d),1],
[x*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,5,(a+b*arccosh(c*x))^2/c^2/d/sqrt(-c^2*d*x^2+d)+4*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c^2/d/sqrt(-c^2*d*x^2+d)+2*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x)))/c^2/d/sqrt(-c^2*d*x^2+d)-2*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(arccosh(c*x)))/c^2/d/sqrt(-c^2*d*x^2+d),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/x/(-c^2*d*x^2+d)^(3/2),x,11,(a+b*arccosh(c*x))^2/d/sqrt(-c^2*d*x^2+d)-2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)+4*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/d/sqrt(-c^2*d*x^2+d)+2*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x)))/d/sqrt(-c^2*d*x^2+d)+2*I*b*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)-2*I*b*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)-2*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(arccosh(c*x)))/d/sqrt(-c^2*d*x^2+d)-2*I*b^2*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)+2*I*b^2*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))^2/x^2/(-c^2*d*x^2+d)^(3/2),x,10,-(a+b*arccosh(c*x))^2/d/x/sqrt(-c^2*d*x^2+d)+2*c^2*x*(a+b*arccosh(c*x))^2/d/sqrt(-c^2*d*x^2+d)+2*c*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/d/sqrt(-c^2*d*x^2+d)-4*b*c*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))/d/sqrt(-c^2*d*x^2+d)-4*b*c*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/d/sqrt(-c^2*d*x^2+d)-b^2*c*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(2*arccosh(c*x)))/d/sqrt(-c^2*d*x^2+d)-b^2*c*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(2*arccosh(c*x)))/d/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccosh(c*x))^2/x^3/(-c^2*d*x^2+d)^(3/2),x,19,b*c*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/d/x/sqrt(-c^2*d*x^2+d)+3/2*c^2*(a+b*arccosh(c*x))^2/d/sqrt(-c^2*d*x^2+d)-1/2*(a+b*arccosh(c*x))^2/d/x^2/sqrt(-c^2*d*x^2+d)-3*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)-b^2*c^2*sqrt(c*x-1)*sqrt(c*x+1)*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d/sqrt(-c^2*d*x^2+d)+4*b*c^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/d/sqrt(-c^2*d*x^2+d)+2*b^2*c^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x)))/d/sqrt(-c^2*d*x^2+d)+3*I*b*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)-3*I*b*c^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)-2*b^2*c^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(arccosh(c*x)))/d/sqrt(-c^2*d*x^2+d)-3*I*b^2*c^2*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1)+3*I*b^2*c^2*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/d^2/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^4*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,13,-1/3*b^2*x/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c^5/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*x^2*(a+b*arccosh(c*x))/c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*x^3*(a+b*arccosh(c*x))^2/c^2/d/(-c^2*d*x^2+d)^(3/2)-x*(a+b*arccosh(c*x))^2/c^4/d^2/sqrt(-c^2*d*x^2+d)-4/3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/c^5/d^2/sqrt(-c^2*d*x^2+d)-1/3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^3/b/c^5/d^3/sqrt(c*x-1)/sqrt(c*x+1)+8/3*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/c^5/d^2/sqrt(-c^2*d*x^2+d)+4/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(2*arccosh(c*x)))/c^5/d^2/sqrt(-c^2*d*x^2+d),1],
[x^3*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,12,-1/3*b^2/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*x*(a+b*arccosh(c*x))/c^3/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*x^2*(a+b*arccosh(c*x))^2/c^2/d/(-c^2*d*x^2+d)^(3/2)-2/3*(a+b*arccosh(c*x))^2/c^4/d^2/sqrt(-c^2*d*x^2+d)-10/3*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d)-5/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d)+5/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(arccosh(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d),1],
[x^2*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,7,-1/3*b^2*x/c^2/d^2/sqrt(-c^2*d*x^2+d)+1/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c^3/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*x^2*(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^3*(a+b*arccosh(c*x))^2/d/(-c^2*d*x^2+d)^(3/2)-1/3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/c^3/d^2/sqrt(-c^2*d*x^2+d)+2/3*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/c^3/d^2/sqrt(-c^2*d*x^2+d)+1/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(2*arccosh(c*x)))/c^3/d^2/sqrt(-c^2*d*x^2+d),1],
[x*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,7,-1/3*b^2/c^2/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*x*(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*(a+b*arccosh(c*x))^2/c^2/d/(-c^2*d*x^2+d)^(3/2)+2/3*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/c^2/d^2/sqrt(-c^2*d*x^2+d)+1/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x)))/c^2/d^2/sqrt(-c^2*d*x^2+d)-1/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(arccosh(c*x)))/c^2/d^2/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],
[(a+b*arccosh(c*x))^2/x/(-c^2*d*x^2+d)^(5/2),x,18,-1/3*b^2/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*c*x*(a+b*arccosh(c*x))/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)+1/3*(a+b*arccosh(c*x))^2/d/(-c^2*d*x^2+d)^(3/2)+(a+b*arccosh(c*x))^2/d^2/sqrt(-c^2*d*x^2+d)-2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2*arctan(exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1)+14/3*b*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*arctanh(exp(arccosh(c*x)))/d^2/sqrt(-c^2*d*x^2+d)+7/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x)))/d^2/sqrt(-c^2*d*x^2+d)+2*I*b*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,-I*exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1)-2*I*b*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))*polylog(2,I*exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1)-7/3*b^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(arccosh(c*x)))/d^2/sqrt(-c^2*d*x^2+d)-2*I*b^2*sqrt(-c^2*d*x^2+d)*polylog(3,-I*exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1)+2*I*b^2*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(arccosh(c*x)))/d^3/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))^2/x^2/(-c^2*d*x^2+d)^(5/2),x,15,-1/3*b^2*c^2*x/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*c*(a+b*arccosh(c*x))/d^2/sqrt(c*x-1)/sqrt(c*x+1)/sqrt(-c^2*d*x^2+d)-(a+b*arccosh(c*x))^2/d/x/(-c^2*d*x^2+d)^(3/2)+4/3*c^2*x*(a+b*arccosh(c*x))^2/d/(-c^2*d*x^2+d)^(3/2)+8/3*c^2*x*(a+b*arccosh(c*x))^2/d^2/sqrt(-c^2*d*x^2+d)+8/3*c*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/d^2/sqrt(-c^2*d*x^2+d)-4*b*c*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*arctanh(exp(2*arccosh(c*x)))/d^2/sqrt(-c^2*d*x^2+d)-16/3*b*c*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1-exp(2*arccosh(c*x)))/d^2/sqrt(-c^2*d*x^2+d)-b^2*c*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(2*arccosh(c*x)))/d^2/sqrt(-c^2*d*x^2+d)-5/3*b^2*c*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,exp(2*arccosh(c*x)))/d^2/sqrt(-c^2*d*x^2+d),1],
[x^4*arccosh(a*x)^2/sqrt(-a^2*x^2+1),x,11,-15/64*x*sqrt(-a*x+1)*sqrt(a*x+1)/a^4-1/32*x^3*sqrt(-a*x+1)*sqrt(a*x+1)/a^2-15/64*sqrt(-a*x+1)*arccosh(a*x)/a^5/sqrt(a*x-1)+3/8*x^2*sqrt(-a*x+1)*arccosh(a*x)/a^3/sqrt(a*x-1)+1/8*x^4*sqrt(-a*x+1)*arccosh(a*x)/a/sqrt(a*x-1)-3/8*x*sqrt(-a^2*x^2+1)*arccosh(a*x)^2/a^4-1/4*x^3*sqrt(-a^2*x^2+1)*arccosh(a*x)^2/a^2-1/8*sqrt(-a*x+1)*arccosh(a*x)^3/a^5/sqrt(a*x-1),1],
[x^3*arccosh(a*x)^2/sqrt(-a^2*x^2+1),x,5,-4/27*sqrt(-a*x+1)*sqrt(a*x+1)/a^4-2/27*x^2*sqrt(-a*x+1)*sqrt(a*x+1)/a^2-4/3*sqrt(-a^2*x^2+1)/a^4+4/3*x*sqrt(-a*x+1)*arccosh(a*x)/a^3/sqrt(a*x-1)+2/9*x^3*sqrt(-a*x+1)*arccosh(a*x)/a/sqrt(a*x-1)-2/3*sqrt(-a^2*x^2+1)*arccosh(a*x)^2/a^4-1/3*x^2*sqrt(-a^2*x^2+1)*arccosh(a*x)^2/a^2,1],
[x^2*arccosh(a*x)^2/sqrt(-a^2*x^2+1),x,6,-1/4*x*sqrt(-a*x+1)*sqrt(a*x+1)/a^2-1/4*sqrt(-a*x+1)*arccosh(a*x)/a^3/sqrt(a*x-1)+1/2*x^2*sqrt(-a*x+1)*arccosh(a*x)/a/sqrt(a*x-1)-1/2*x*sqrt(-a^2*x^2+1)*arccosh(a*x)^2/a^2-1/6*sqrt(-a*x+1)*arccosh(a*x)^3/a^3/sqrt(a*x-1),1],
[x*arccosh(a*x)^2/sqrt(-a^2*x^2+1),x,1,-2*sqrt(-a^2*x^2+1)/a^2+2*x*sqrt(-a*x+1)*arccosh(a*x)/a/sqrt(a*x-1)-sqrt(-a^2*x^2+1)*arccosh(a*x)^2/a^2,1],
[arccosh(a*x)^2/sqrt(-a^2*x^2+1),x,2,-1/3*sqrt(-a*x+1)*arccosh(a*x)^3/a/sqrt(a*x-1),1],
[arccosh(a*x)^2/x/sqrt(-a^2*x^2+1),x,6,-2*sqrt(-a*x+1)*arccosh(a*x)^2*arctan(exp(arccosh(a*x)))/sqrt(a*x-1)+2*I*sqrt(-a*x+1)*arccosh(a*x)*polylog(2,-I*exp(arccosh(a*x)))/sqrt(a*x-1)-2*I*sqrt(-a*x+1)*arccosh(a*x)*polylog(2,I*exp(arccosh(a*x)))/sqrt(a*x-1)-2*I*sqrt(-a*x+1)*polylog(3,-I*exp(arccosh(a*x)))/sqrt(a*x-1)+2*I*sqrt(-a*x+1)*polylog(3,I*exp(arccosh(a*x)))/sqrt(a*x-1),1],
[arccosh(a*x)^2/x^2/sqrt(-a^2*x^2+1),x,4,-a*sqrt(-a*x+1)*arccosh(a*x)^2/sqrt(a*x-1)-sqrt(-a^2*x^2+1)*arccosh(a*x)^2/x+2*a*sqrt(-a*x+1)*arccosh(a*x)*ln(1+exp(2*arccosh(a*x)))/sqrt(a*x-1)+a*sqrt(-a*x+1)*polylog(2,-exp(2*arccosh(a*x)))/sqrt(a*x-1),1],
[arccosh(a*x)^2/x^3/sqrt(-a^2*x^2+1),x,10,-a*sqrt(-a*x+1)*arccosh(a*x)/x/sqrt(a*x-1)-1/2*sqrt(-a^2*x^2+1)*arccosh(a*x)^2/x^2-a^2*sqrt(-a*x+1)*arccosh(a*x)^2*arctan(exp(arccosh(a*x)))/sqrt(a*x-1)+a^2*sqrt(-a*x+1)*arctan(sqrt(a*x-1)*sqrt(a*x+1))/sqrt(a*x-1)+I*a^2*sqrt(-a*x+1)*arccosh(a*x)*polylog(2,-I*exp(arccosh(a*x)))/sqrt(a*x-1)-I*a^2*sqrt(-a*x+1)*arccosh(a*x)*polylog(2,I*exp(arccosh(a*x)))/sqrt(a*x-1)-I*a^2*sqrt(-a*x+1)*polylog(3,-I*exp(arccosh(a*x)))/sqrt(a*x-1)+I*a^2*sqrt(-a*x+1)*polylog(3,I*exp(arccosh(a*x)))/sqrt(a*x-1),1],
[(f*x)^m*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x,1,Defer(Int)((f*x)^m*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^2,x),0],
[(f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x,1,Defer(Int)((f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^2,x),0],
[(f*x)^m*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2,x,1,Defer(Int)((f*x)^m*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2,x),0],
[(f*x)^m*(a+b*arccosh(c*x))^2/sqrt(-c^2*d*x^2+d),x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))^2/sqrt(-c^2*d*x^2+d),x),0],
[(f*x)^m*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))^2/(-c^2*d*x^2+d)^(3/2),x),0],
[(f*x)^m*arccosh(c*x)^2/sqrt(-c^2*x^2+1),x,1,Defer(Int)((f*x)^m*arccosh(c*x)^2/sqrt(-c^2*x^2+1),x),0],
[x^4*arccosh(a*x)^3/sqrt(-a^2*x^2+1),x,14,45/128*x^2*sqrt(-a*x+1)/a^3/sqrt(a*x-1)+3/128*x^4*sqrt(-a*x+1)/a/sqrt(a*x-1)-45/64*x*sqrt(-a*x+1)*sqrt(a*x+1)*arccosh(a*x)/a^4-3/32*x^3*sqrt(-a*x+1)*sqrt(a*x+1)*arccosh(a*x)/a^2-45/128*sqrt(-a*x+1)*arccosh(a*x)^2/a^5/sqrt(a*x-1)+9/16*x^2*sqrt(-a*x+1)*arccosh(a*x)^2/a^3/sqrt(a*x-1)+3/16*x^4*sqrt(-a*x+1)*arccosh(a*x)^2/a/sqrt(a*x-1)-3/8*x*sqrt(-a^2*x^2+1)*arccosh(a*x)^3/a^4-1/4*x^3*sqrt(-a^2*x^2+1)*arccosh(a*x)^3/a^2-3/32*sqrt(-a*x+1)*arccosh(a*x)^4/a^5/sqrt(a*x-1),1],
[x^3*arccosh(a*x)^3/sqrt(-a^2*x^2+1),x,10,40/9*x*sqrt(-a*x+1)/a^3/sqrt(a*x-1)+2/27*x^3*sqrt(-a*x+1)/a/sqrt(a*x-1)-40/9*sqrt(-a*x+1)*sqrt(a*x+1)*arccosh(a*x)/a^4-2/9*x^2*sqrt(-a*x+1)*sqrt(a*x+1)*arccosh(a*x)/a^2+2*x*sqrt(-a*x+1)*arccosh(a*x)^2/a^3/sqrt(a*x-1)+1/3*x^3*sqrt(-a*x+1)*arccosh(a*x)^2/a/sqrt(a*x-1)-2/3*sqrt(-a^2*x^2+1)*arccosh(a*x)^3/a^4-1/3*x^2*sqrt(-a^2*x^2+1)*arccosh(a*x)^3/a^2,1],
[x^2*arccosh(a*x)^3/sqrt(-a^2*x^2+1),x,7,3/8*x^2*sqrt(-a*x+1)/a/sqrt(a*x-1)-3/4*x*sqrt(-a*x+1)*sqrt(a*x+1)*arccosh(a*x)/a^2-3/8*sqrt(-a*x+1)*arccosh(a*x)^2/a^3/sqrt(a*x-1)+3/4*x^2*sqrt(-a*x+1)*arccosh(a*x)^2/a/sqrt(a*x-1)-1/2*x*sqrt(-a^2*x^2+1)*arccosh(a*x)^3/a^2-1/8*sqrt(-a*x+1)*arccosh(a*x)^4/a^3/sqrt(a*x-1),1],
[x*arccosh(a*x)^3/sqrt(-a^2*x^2+1),x,4,6*x*sqrt(-a*x+1)/a/sqrt(a*x-1)-6*sqrt(-a^2*x^2+1)*arccosh(a*x)/a^2+3*x*sqrt(-a*x+1)*arccosh(a*x)^2/a/sqrt(a*x-1)-sqrt(-a^2*x^2+1)*arccosh(a*x)^3/a^2,1],
[arccosh(a*x)^3/sqrt(-a^2*x^2+1),x,2,-1/4*sqrt(-a*x+1)*arccosh(a*x)^4/a/sqrt(a*x-1),1],
[arccosh(a*x)^3/x/sqrt(-a^2*x^2+1),x,8,-2*sqrt(-a*x+1)*arccosh(a*x)^3*arctan(exp(arccosh(a*x)))/sqrt(a*x-1)+3*I*sqrt(-a*x+1)*arccosh(a*x)^2*polylog(2,-I*exp(arccosh(a*x)))/sqrt(a*x-1)-3*I*sqrt(-a*x+1)*arccosh(a*x)^2*polylog(2,I*exp(arccosh(a*x)))/sqrt(a*x-1)-6*I*sqrt(-a*x+1)*arccosh(a*x)*polylog(3,-I*exp(arccosh(a*x)))/sqrt(a*x-1)+6*I*sqrt(-a*x+1)*arccosh(a*x)*polylog(3,I*exp(arccosh(a*x)))/sqrt(a*x-1)+6*I*sqrt(-a*x+1)*polylog(4,-I*exp(arccosh(a*x)))/sqrt(a*x-1)-6*I*sqrt(-a*x+1)*polylog(4,I*exp(arccosh(a*x)))/sqrt(a*x-1),1],
[arccosh(a*x)^3/x^2/sqrt(-a^2*x^2+1),x,5,-a*sqrt(-a*x+1)*arccosh(a*x)^3/sqrt(a*x-1)-sqrt(-a^2*x^2+1)*arccosh(a*x)^3/x+3*a*sqrt(-a*x+1)*arccosh(a*x)^2*ln(1+exp(2*arccosh(a*x)))/sqrt(a*x-1)+3*a*sqrt(-a*x+1)*arccosh(a*x)*polylog(2,-exp(2*arccosh(a*x)))/sqrt(a*x-1)-3/2*a*sqrt(-a*x+1)*polylog(3,-exp(2*arccosh(a*x)))/sqrt(a*x-1),1],
[arccosh(a*x)^3/x^3/sqrt(-a^2*x^2+1),x,14,-3/2*a*sqrt(-a*x+1)*arccosh(a*x)^2/x/sqrt(a*x-1)-1/2*sqrt(-a^2*x^2+1)*arccosh(a*x)^3/x^2+6*a^2*sqrt(-a*x+1)*arccosh(a*x)*arctan(exp(arccosh(a*x)))/sqrt(a*x-1)-a^2*sqrt(-a*x+1)*arccosh(a*x)^3*arctan(exp(arccosh(a*x)))/sqrt(a*x-1)-3*I*a^2*sqrt(-a*x+1)*polylog(2,-I*exp(arccosh(a*x)))/sqrt(a*x-1)+3/2*I*a^2*sqrt(-a*x+1)*arccosh(a*x)^2*polylog(2,-I*exp(arccosh(a*x)))/sqrt(a*x-1)+3*I*a^2*sqrt(-a*x+1)*polylog(2,I*exp(arccosh(a*x)))/sqrt(a*x-1)-3/2*I*a^2*sqrt(-a*x+1)*arccosh(a*x)^2*polylog(2,I*exp(arccosh(a*x)))/sqrt(a*x-1)-3*I*a^2*sqrt(-a*x+1)*arccosh(a*x)*polylog(3,-I*exp(arccosh(a*x)))/sqrt(a*x-1)+3*I*a^2*sqrt(-a*x+1)*arccosh(a*x)*polylog(3,I*exp(arccosh(a*x)))/sqrt(a*x-1)+3*I*a^2*sqrt(-a*x+1)*polylog(4,-I*exp(arccosh(a*x)))/sqrt(a*x-1)-3*I*a^2*sqrt(-a*x+1)*polylog(4,I*exp(arccosh(a*x)))/sqrt(a*x-1),1],
[(f*x)^m*(a+b*arccosh(c*x))^3/sqrt(-c^2*x^2+1),x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))^3/sqrt(-c^2*x^2+1),x),0],
[x^4*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,12,-1/32*sqrt(-c*x+1)*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b/c^5/sqrt(c*x-1)+1/16*sqrt(-c*x+1)*cosh(4*a/b)*Chi(4*(a+b*arccosh(c*x))/b)/b/c^5/sqrt(c*x-1)+1/32*sqrt(-c*x+1)*cosh(6*a/b)*Chi(6*(a+b*arccosh(c*x))/b)/b/c^5/sqrt(c*x-1)-1/16*sqrt(-c*x+1)*ln(a+b*arccosh(c*x))/b/c^5/sqrt(c*x-1)+1/32*sqrt(-c*x+1)*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b/c^5/sqrt(c*x-1)-1/16*sqrt(-c*x+1)*sinh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b/c^5/sqrt(c*x-1)-1/32*sqrt(-c*x+1)*sinh(6*a/b)*Shi(6*(a+b*arccosh(c*x))/b)/b/c^5/sqrt(c*x-1),1],
[x^3*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,12,-1/8*sqrt(-c*x+1)*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+1/16*sqrt(-c*x+1)*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+1/16*sqrt(-c*x+1)*cosh(5*a/b)*Chi(5*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+1/8*sqrt(-c*x+1)*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)-1/16*sqrt(-c*x+1)*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)-1/16*sqrt(-c*x+1)*sinh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1),1],
[x^2*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,6,1/8*sqrt(-c*x+1)*cosh(4*a/b)*Chi(4*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)-1/8*sqrt(-c*x+1)*ln(a+b*arccosh(c*x))/b/c^3/sqrt(c*x-1)-1/8*sqrt(-c*x+1)*sinh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1),1],
[x*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,9,-1/4*sqrt(-c*x+1)*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)+1/4*sqrt(-c*x+1)*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)+1/4*sqrt(-c*x+1)*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)-1/4*sqrt(-c*x+1)*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1),1],
[sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,6,1/2*sqrt(-c*x+1)*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)-1/2*sqrt(-c*x+1)*ln(a+b*arccosh(c*x))/b/c/sqrt(c*x-1)-1/2*sqrt(-c*x+1)*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1),1],
[sqrt(-c^2*x^2+1)/x/(a+b*arccosh(c*x)),x,0,Defer(Int)(sqrt(-c^2*x^2+1)/x/(a+b*arccosh(c*x)),x),0],
[sqrt(-c^2*x^2+1)/x^2/(a+b*arccosh(c*x)),x,0,Defer(Int)(sqrt(-c^2*x^2+1)/x^2/(a+b*arccosh(c*x)),x),0],
[x^3*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,15,-3/64*sqrt(-c*x+1)*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+3/64*sqrt(-c*x+1)*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+1/64*sqrt(-c*x+1)*cosh(5*a/b)*Chi(5*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)-1/64*sqrt(-c*x+1)*cosh(7*a/b)*Chi(7*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+3/64*sqrt(-c*x+1)*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)-3/64*sqrt(-c*x+1)*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)-1/64*sqrt(-c*x+1)*sinh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+1/64*sqrt(-c*x+1)*sinh(7*a/b)*Shi(7*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1),1],
[x^2*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,12,1/32*sqrt(-c*x+1)*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)+1/16*sqrt(-c*x+1)*cosh(4*a/b)*Chi(4*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)-1/32*sqrt(-c*x+1)*cosh(6*a/b)*Chi(6*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)-1/16*sqrt(-c*x+1)*ln(a+b*arccosh(c*x))/b/c^3/sqrt(c*x-1)-1/32*sqrt(-c*x+1)*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)-1/16*sqrt(-c*x+1)*sinh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)+1/32*sqrt(-c*x+1)*sinh(6*a/b)*Shi(6*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1),1],
[x*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,12,-1/8*sqrt(-c*x+1)*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)+3/16*sqrt(-c*x+1)*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)-1/16*sqrt(-c*x+1)*cosh(5*a/b)*Chi(5*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)+1/8*sqrt(-c*x+1)*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)-3/16*sqrt(-c*x+1)*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)+1/16*sqrt(-c*x+1)*sinh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1),1],
[(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,9,1/2*sqrt(-c*x+1)*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)-1/8*sqrt(-c*x+1)*cosh(4*a/b)*Chi(4*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)-3/8*sqrt(-c*x+1)*ln(a+b*arccosh(c*x))/b/c/sqrt(c*x-1)-1/2*sqrt(-c*x+1)*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)+1/8*sqrt(-c*x+1)*sinh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1),1],
[(-c^2*x^2+1)^(3/2)/x/(a+b*arccosh(c*x)),x,0,Defer(Int)((-c^2*x^2+1)^(3/2)/x/(a+b*arccosh(c*x)),x),0],
[(-c^2*x^2+1)^(3/2)/x^2/(a+b*arccosh(c*x)),x,0,Defer(Int)((-c^2*x^2+1)^(3/2)/x^2/(a+b*arccosh(c*x)),x),0],
[x^3*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x,15,-3/128*sqrt(-c*x+1)*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+1/32*sqrt(-c*x+1)*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)-3/256*sqrt(-c*x+1)*cosh(7*a/b)*Chi(7*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+1/256*sqrt(-c*x+1)*cosh(9*a/b)*Chi(9*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+3/128*sqrt(-c*x+1)*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)-1/32*sqrt(-c*x+1)*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)+3/256*sqrt(-c*x+1)*sinh(7*a/b)*Shi(7*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1)-1/256*sqrt(-c*x+1)*sinh(9*a/b)*Shi(9*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(c*x-1),1],
[x^2*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x,15,1/32*sqrt(-c*x+1)*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)+1/32*sqrt(-c*x+1)*cosh(4*a/b)*Chi(4*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)-1/32*sqrt(-c*x+1)*cosh(6*a/b)*Chi(6*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)+1/128*sqrt(-c*x+1)*cosh(8*a/b)*Chi(8*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)-5/128*sqrt(-c*x+1)*ln(a+b*arccosh(c*x))/b/c^3/sqrt(c*x-1)-1/32*sqrt(-c*x+1)*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)-1/32*sqrt(-c*x+1)*sinh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)+1/32*sqrt(-c*x+1)*sinh(6*a/b)*Shi(6*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1)-1/128*sqrt(-c*x+1)*sinh(8*a/b)*Shi(8*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(c*x-1),1],
[x*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x,15,-5/64*sqrt(-c*x+1)*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)+9/64*sqrt(-c*x+1)*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)-5/64*sqrt(-c*x+1)*cosh(5*a/b)*Chi(5*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)+1/64*sqrt(-c*x+1)*cosh(7*a/b)*Chi(7*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)+5/64*sqrt(-c*x+1)*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)-9/64*sqrt(-c*x+1)*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)+5/64*sqrt(-c*x+1)*sinh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1)-1/64*sqrt(-c*x+1)*sinh(7*a/b)*Shi(7*(a+b*arccosh(c*x))/b)/b/c^2/sqrt(c*x-1),1],
[(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x,12,15/32*sqrt(-c*x+1)*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)-3/16*sqrt(-c*x+1)*cosh(4*a/b)*Chi(4*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)+1/32*sqrt(-c*x+1)*cosh(6*a/b)*Chi(6*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)-5/16*sqrt(-c*x+1)*ln(a+b*arccosh(c*x))/b/c/sqrt(c*x-1)-15/32*sqrt(-c*x+1)*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)+3/16*sqrt(-c*x+1)*sinh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1)-1/32*sqrt(-c*x+1)*sinh(6*a/b)*Shi(6*(a+b*arccosh(c*x))/b)/b/c/sqrt(c*x-1),1],
[(-c^2*x^2+1)^(5/2)/x/(a+b*arccosh(c*x)),x,0,Defer(Int)((-c^2*x^2+1)^(5/2)/x/(a+b*arccosh(c*x)),x),0],
[(-c^2*x^2+1)^(5/2)/x^2/(a+b*arccosh(c*x)),x,0,Defer(Int)((-c^2*x^2+1)^(5/2)/x^2/(a+b*arccosh(c*x)),x),0],
[x^4/sqrt(-a^2*x^2+1)/arccosh(a*x),x,5,1/2*sqrt(a*x-1)*Chi(2*arccosh(a*x))/a^5/sqrt(-a*x+1)+1/8*sqrt(a*x-1)*Chi(4*arccosh(a*x))/a^5/sqrt(-a*x+1)+3/8*sqrt(a*x-1)*ln(arccosh(a*x))/a^5/sqrt(-a*x+1),1],
[x^3/sqrt(-a^2*x^2+1)/arccosh(a*x),x,5,3/4*sqrt(a*x-1)*Chi(arccosh(a*x))/a^4/sqrt(-a*x+1)+1/4*sqrt(a*x-1)*Chi(3*arccosh(a*x))/a^4/sqrt(-a*x+1),1],
[x^2/sqrt(-a^2*x^2+1)/arccosh(a*x),x,4,1/2*sqrt(a*x-1)*Chi(2*arccosh(a*x))/a^3/sqrt(-a*x+1)+1/2*sqrt(a*x-1)*ln(arccosh(a*x))/a^3/sqrt(-a*x+1),1],
[x/sqrt(-a^2*x^2+1)/arccosh(a*x),x,2,sqrt(a*x-1)*Chi(arccosh(a*x))/a^2/sqrt(-a*x+1),1],
[1/sqrt(-a^2*x^2+1)/arccosh(a*x),x,2,-sqrt(-a*x+1)*ln(arccosh(a*x))/a/sqrt(a*x-1),1],
[1/x/sqrt(-a^2*x^2+1)/arccosh(a*x),x,0,Defer(Int)(1/x/sqrt(-a^2*x^2+1)/arccosh(a*x),x),0],
[1/x^2/sqrt(-a^2*x^2+1)/arccosh(a*x),x,0,Defer(Int)(1/x^2/sqrt(-a^2*x^2+1)/arccosh(a*x),x),0],
[x^3/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,9,3/4*sqrt(c*x-1)*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b/c^4/sqrt(-c*x+1)+1/4*sqrt(c*x-1)*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(-c*x+1)-3/4*sqrt(c*x-1)*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^4/sqrt(-c*x+1)-1/4*sqrt(c*x-1)*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b/c^4/sqrt(-c*x+1),1],
[x^2/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,6,1/2*sqrt(c*x-1)*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(-c*x+1)+1/2*sqrt(c*x-1)*ln(a+b*arccosh(c*x))/b/c^3/sqrt(-c*x+1)-1/2*sqrt(c*x-1)*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b/c^3/sqrt(-c*x+1),1],
[x/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,4,sqrt(c*x-1)*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b/c^2/sqrt(-c*x+1)-sqrt(c*x-1)*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b/c^2/sqrt(-c*x+1),1],
[1/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,2,-sqrt(-c*x+1)*ln(a+b*arccosh(c*x))/b/c/sqrt(c*x-1),1],
[1/x/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/x/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x),0],
[1/x^2/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/x^2/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x),0],
[x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x),0],
[x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x),0],
[1/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x),0],
[1/x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x),0],
[1/x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x),0],
[x^m*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(x^m*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x),0],
[x^m*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,0,Defer(Int)(x^m*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x),0],
[x^m/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,0,Defer(Int)(x^m/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x),0],
[x^m/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(x^m/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x)),x),0],
[x^m/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x,0,Defer(Int)(x^m/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x)),x),0],
[x^3*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,22,-x^3*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*x^2+1)/b/c/(a+b*arccosh(c*x))+1/8*sqrt(-c*x+1)*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b^2/c^4/sqrt(c*x-1)-3/16*sqrt(-c*x+1)*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b^2/c^4/sqrt(c*x-1)-5/16*sqrt(-c*x+1)*Chi(5*(a+b*arccosh(c*x))/b)*sinh(5*a/b)/b^2/c^4/sqrt(c*x-1)-1/8*sqrt(-c*x+1)*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^4/sqrt(c*x-1)+3/16*sqrt(-c*x+1)*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c^4/sqrt(c*x-1)+5/16*sqrt(-c*x+1)*cosh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b^2/c^4/sqrt(c*x-1),1],
[x^2*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,16,-x^2*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*x^2+1)/b/c/(a+b*arccosh(c*x))-1/2*sqrt(-c*x+1)*Chi(4*(a+b*arccosh(c*x))/b)*sinh(4*a/b)/b^2/c^3/sqrt(c*x-1)+1/2*sqrt(-c*x+1)*cosh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b^2/c^3/sqrt(c*x-1),1],
[x*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,14,-x*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*x^2+1)/b/c/(a+b*arccosh(c*x))+1/4*sqrt(-c*x+1)*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b^2/c^2/sqrt(c*x-1)-3/4*sqrt(-c*x+1)*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b^2/c^2/sqrt(c*x-1)-1/4*sqrt(-c*x+1)*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^2/sqrt(c*x-1)+3/4*sqrt(-c*x+1)*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c^2/sqrt(c*x-1),1],
[sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,7,-sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*x^2+1)/b/c/(a+b*arccosh(c*x))-sqrt(-c*x+1)*Chi(2*(a+b*arccosh(c*x))/b)*sinh(2*a/b)/b^2/c/sqrt(c*x-1)+sqrt(-c*x+1)*cosh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1),1],
[sqrt(-c^2*x^2+1)/x/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(sqrt(-c^2*x^2+1)/x/(a+b*arccosh(c*x))^2,x),0],
[sqrt(-c^2*x^2+1)/x^2/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(sqrt(-c^2*x^2+1)/x^2/(a+b*arccosh(c*x))^2,x),0],
[x^2*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,19,-x^2*sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)^(3/2)/b/c/(a+b*arccosh(c*x))-1/16*sqrt(-c*x+1)*Chi(2*(a+b*arccosh(c*x))/b)*sinh(2*a/b)/b^2/c^3/sqrt(c*x-1)-1/4*sqrt(-c*x+1)*Chi(4*(a+b*arccosh(c*x))/b)*sinh(4*a/b)/b^2/c^3/sqrt(c*x-1)+3/16*sqrt(-c*x+1)*Chi(6*(a+b*arccosh(c*x))/b)*sinh(6*a/b)/b^2/c^3/sqrt(c*x-1)+1/16*sqrt(-c*x+1)*cosh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c^3/sqrt(c*x-1)+1/4*sqrt(-c*x+1)*cosh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b^2/c^3/sqrt(c*x-1)-3/16*sqrt(-c*x+1)*cosh(6*a/b)*Shi(6*(a+b*arccosh(c*x))/b)/b^2/c^3/sqrt(c*x-1),1],
[x*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,22,-x*sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)^(3/2)/b/c/(a+b*arccosh(c*x))+1/8*sqrt(-c*x+1)*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b^2/c^2/sqrt(c*x-1)-9/16*sqrt(-c*x+1)*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b^2/c^2/sqrt(c*x-1)+5/16*sqrt(-c*x+1)*Chi(5*(a+b*arccosh(c*x))/b)*sinh(5*a/b)/b^2/c^2/sqrt(c*x-1)-1/8*sqrt(-c*x+1)*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^2/sqrt(c*x-1)+9/16*sqrt(-c*x+1)*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c^2/sqrt(c*x-1)-5/16*sqrt(-c*x+1)*cosh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b^2/c^2/sqrt(c*x-1),1],
[(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,10,-sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)^(3/2)/b/c/(a+b*arccosh(c*x))-sqrt(-c*x+1)*Chi(2*(a+b*arccosh(c*x))/b)*sinh(2*a/b)/b^2/c/sqrt(c*x-1)+1/2*sqrt(-c*x+1)*Chi(4*(a+b*arccosh(c*x))/b)*sinh(4*a/b)/b^2/c/sqrt(c*x-1)+sqrt(-c*x+1)*cosh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1)-1/2*sqrt(-c*x+1)*cosh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1),1],
[(-c^2*x^2+1)^(3/2)/x/(a+b*arccosh(c*x))^2,x,0,Defer(Int)((-c^2*x^2+1)^(3/2)/x/(a+b*arccosh(c*x))^2,x),0],
[(-c^2*x^2+1)^(3/2)/x^2/(a+b*arccosh(c*x))^2,x,0,Defer(Int)((-c^2*x^2+1)^(3/2)/x^2/(a+b*arccosh(c*x))^2,x),0],
[x^2*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x,28,-x^2*sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)^(5/2)/b/c/(a+b*arccosh(c*x))-1/16*sqrt(-c*x+1)*Chi(2*(a+b*arccosh(c*x))/b)*sinh(2*a/b)/b^2/c^3/sqrt(c*x-1)-1/8*sqrt(-c*x+1)*Chi(4*(a+b*arccosh(c*x))/b)*sinh(4*a/b)/b^2/c^3/sqrt(c*x-1)+3/16*sqrt(-c*x+1)*Chi(6*(a+b*arccosh(c*x))/b)*sinh(6*a/b)/b^2/c^3/sqrt(c*x-1)-1/16*sqrt(-c*x+1)*Chi(8*(a+b*arccosh(c*x))/b)*sinh(8*a/b)/b^2/c^3/sqrt(c*x-1)+1/16*sqrt(-c*x+1)*cosh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c^3/sqrt(c*x-1)+1/8*sqrt(-c*x+1)*cosh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b^2/c^3/sqrt(c*x-1)-3/16*sqrt(-c*x+1)*cosh(6*a/b)*Shi(6*(a+b*arccosh(c*x))/b)/b^2/c^3/sqrt(c*x-1)+1/16*sqrt(-c*x+1)*cosh(8*a/b)*Shi(8*(a+b*arccosh(c*x))/b)/b^2/c^3/sqrt(c*x-1),1],
[x*(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x,28,-x*sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)^(5/2)/b/c/(a+b*arccosh(c*x))+5/64*sqrt(-c*x+1)*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b^2/c^2/sqrt(c*x-1)-27/64*sqrt(-c*x+1)*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b^2/c^2/sqrt(c*x-1)+25/64*sqrt(-c*x+1)*Chi(5*(a+b*arccosh(c*x))/b)*sinh(5*a/b)/b^2/c^2/sqrt(c*x-1)-7/64*sqrt(-c*x+1)*Chi(7*(a+b*arccosh(c*x))/b)*sinh(7*a/b)/b^2/c^2/sqrt(c*x-1)-5/64*sqrt(-c*x+1)*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^2/sqrt(c*x-1)+27/64*sqrt(-c*x+1)*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c^2/sqrt(c*x-1)-25/64*sqrt(-c*x+1)*cosh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b^2/c^2/sqrt(c*x-1)+7/64*sqrt(-c*x+1)*cosh(7*a/b)*Shi(7*(a+b*arccosh(c*x))/b)/b^2/c^2/sqrt(c*x-1),1],
[(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x,13,-sqrt(c*x-1)*sqrt(c*x+1)*(-c^2*x^2+1)^(5/2)/b/c/(a+b*arccosh(c*x))-15/16*sqrt(-c*x+1)*Chi(2*(a+b*arccosh(c*x))/b)*sinh(2*a/b)/b^2/c/sqrt(c*x-1)+3/4*sqrt(-c*x+1)*Chi(4*(a+b*arccosh(c*x))/b)*sinh(4*a/b)/b^2/c/sqrt(c*x-1)-3/16*sqrt(-c*x+1)*Chi(6*(a+b*arccosh(c*x))/b)*sinh(6*a/b)/b^2/c/sqrt(c*x-1)+15/16*sqrt(-c*x+1)*cosh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1)-3/4*sqrt(-c*x+1)*cosh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1)+3/16*sqrt(-c*x+1)*cosh(6*a/b)*Shi(6*(a+b*arccosh(c*x))/b)/b^2/c/sqrt(c*x-1),1],
[(-c^2*x^2+1)^(5/2)/x/(a+b*arccosh(c*x))^2,x,0,Defer(Int)((-c^2*x^2+1)^(5/2)/x/(a+b*arccosh(c*x))^2,x),0],
[(-c^2*x^2+1)^(5/2)/x^2/(a+b*arccosh(c*x))^2,x,0,Defer(Int)((-c^2*x^2+1)^(5/2)/x^2/(a+b*arccosh(c*x))^2,x),0],
[x^5/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,13,-x^5*sqrt(c*x-1)/b/c/sqrt(-c*x+1)/(a+b*arccosh(c*x))-5/8*sqrt(c*x-1)*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b^2/c^6/sqrt(-c*x+1)-15/16*sqrt(c*x-1)*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b^2/c^6/sqrt(-c*x+1)-5/16*sqrt(c*x-1)*Chi(5*(a+b*arccosh(c*x))/b)*sinh(5*a/b)/b^2/c^6/sqrt(-c*x+1)+5/8*sqrt(c*x-1)*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^6/sqrt(-c*x+1)+15/16*sqrt(c*x-1)*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c^6/sqrt(-c*x+1)+5/16*sqrt(c*x-1)*cosh(5*a/b)*Shi(5*(a+b*arccosh(c*x))/b)/b^2/c^6/sqrt(-c*x+1),1],
[x^4/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,10,-x^4*sqrt(c*x-1)/b/c/sqrt(-c*x+1)/(a+b*arccosh(c*x))-sqrt(c*x-1)*Chi(2*(a+b*arccosh(c*x))/b)*sinh(2*a/b)/b^2/c^5/sqrt(-c*x+1)-1/2*sqrt(c*x-1)*Chi(4*(a+b*arccosh(c*x))/b)*sinh(4*a/b)/b^2/c^5/sqrt(-c*x+1)+sqrt(c*x-1)*cosh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c^5/sqrt(-c*x+1)+1/2*sqrt(c*x-1)*cosh(4*a/b)*Shi(4*(a+b*arccosh(c*x))/b)/b^2/c^5/sqrt(-c*x+1),1],
[x^3/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,10,-x^3*sqrt(c*x-1)/b/c/sqrt(-c*x+1)/(a+b*arccosh(c*x))-3/4*sqrt(c*x-1)*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b^2/c^4/sqrt(-c*x+1)-3/4*sqrt(c*x-1)*Chi(3*(a+b*arccosh(c*x))/b)*sinh(3*a/b)/b^2/c^4/sqrt(-c*x+1)+3/4*sqrt(c*x-1)*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^4/sqrt(-c*x+1)+3/4*sqrt(c*x-1)*cosh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c^4/sqrt(-c*x+1),1],
[x^2/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,7,-x^2*sqrt(c*x-1)/b/c/sqrt(-c*x+1)/(a+b*arccosh(c*x))-sqrt(c*x-1)*Chi(2*(a+b*arccosh(c*x))/b)*sinh(2*a/b)/b^2/c^3/sqrt(-c*x+1)+sqrt(c*x-1)*cosh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c^3/sqrt(-c*x+1),1],
[x/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,5,-x*sqrt(c*x-1)/b/c/sqrt(-c*x+1)/(a+b*arccosh(c*x))-sqrt(c*x-1)*Chi((a+b*arccosh(c*x))/b)*sinh(a/b)/b^2/c^2/sqrt(-c*x+1)+sqrt(c*x-1)*cosh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^2/sqrt(-c*x+1),1],
[1/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,2,sqrt(-c*x+1)/b/c/sqrt(c*x-1)/(a+b*arccosh(c*x)),1],
[1/x/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/x/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x),0],
[1/x^2/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/x^2/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x),0],
[x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x),0],
[x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x),0],
[1/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x),0],
[1/x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/x/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x),0],
[1/x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/x^2/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x),0],
[(f*x)^m*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,1,Defer(Int)((f*x)^m*(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x),0],
[(f*x)^m*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,1,Defer(Int)((f*x)^m*sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x),0],
[(f*x)^m/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x,1,Defer(Int)((f*x)^m/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x))^2,x),0],
[(f*x)^m/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x,1,Defer(Int)((f*x)^m/(-c^2*x^2+1)^(3/2)/(a+b*arccosh(c*x))^2,x),0],
[(f*x)^m/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x,1,Defer(Int)((f*x)^m/(-c^2*x^2+1)^(5/2)/(a+b*arccosh(c*x))^2,x),0],
[x^3*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,27,2*d*x^3*(c*x-1)^(3/2)*(c*x+1)^(3/2)/b/c/sqrt(a+b*arccosh(c*x))+3/16*d*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4-1/16*d*exp(6*a/b)*sqrt(3/2*Pi)*erf(sqrt(6)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4+3/16*d*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(2*a/b)-1/16*d*sqrt(3/2*Pi)*erfi(sqrt(6)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(6*a/b),1],
[x^2*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,32,2*d*x^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)/b/c/sqrt(a+b*arccosh(c*x))+1/8*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3+1/16*d*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3-1/16*d*exp(5*a/b)*sqrt(5*Pi)*erf(sqrt(5)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3+1/8*d*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(a/b)+1/16*d*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(3*a/b)-1/16*d*sqrt(5*Pi)*erfi(sqrt(5)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(5*a/b),1],
[x*(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,14,2*d*x*(c*x-1)^(3/2)*(c*x+1)^(3/2)/b/c/sqrt(a+b*arccosh(c*x))-1/4*d*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^2+1/2*d*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^2-1/4*d*sqrt(Pi)*erfi(2*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^2/exp(4*a/b)+1/2*d*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^2/exp(2*a/b),1],
[(-c^2*d*x^2+d)/(a+b*arccosh(c*x))^(3/2),x,14,2*d*(c*x-1)^(3/2)*(c*x+1)^(3/2)/b/c/sqrt(a+b*arccosh(c*x))+3/4*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c-1/4*d*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c+3/4*d*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c/exp(a/b)-1/4*d*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c/exp(3*a/b),1],
[(-c^2*d*x^2+d)/x/(a+b*arccosh(c*x))^(3/2),x,0,Defer(Int)((-c^2*d*x^2+d)/x/(a+b*arccosh(c*x))^(3/2),x),0],
[x^3*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x,32,-2*d^2*x^3*(c*x-1)^(5/2)*(c*x+1)^(5/2)/b/c/sqrt(a+b*arccosh(c*x))-1/32*d^2*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4+3/32*d^2*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4+1/32*d^2*exp(8*a/b)*sqrt(1/2*Pi)*erf(2*sqrt(2)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4-1/32*d^2*exp(6*a/b)*sqrt(3/2*Pi)*erf(sqrt(6)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4-1/32*d^2*sqrt(Pi)*erfi(2*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(4*a/b)+3/32*d^2*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(2*a/b)+1/32*d^2*sqrt(1/2*Pi)*erfi(2*sqrt(2)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(8*a/b)-1/32*d^2*sqrt(3/2*Pi)*erfi(sqrt(6)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(6*a/b),1],
[x^2*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x,42,-2*d^2*x^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)/b/c/sqrt(a+b*arccosh(c*x))+5/64*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3+1/64*d^2*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3-3/64*d^2*exp(5*a/b)*sqrt(5*Pi)*erf(sqrt(5)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3+1/64*d^2*exp(7*a/b)*sqrt(7*Pi)*erf(sqrt(7)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3+5/64*d^2*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(a/b)+1/64*d^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(3*a/b)-3/64*d^2*sqrt(5*Pi)*erfi(sqrt(5)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(5*a/b)+1/64*d^2*sqrt(7*Pi)*erfi(sqrt(7)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(7*a/b),1],
[x*(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x,26,-2*d^2*x*(c*x-1)^(5/2)*(c*x+1)^(5/2)/b/c/sqrt(a+b*arccosh(c*x))-1/4*d^2*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^2+5/16*d^2*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^2+1/16*d^2*exp(6*a/b)*sqrt(3/2*Pi)*erf(sqrt(6)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^2-1/4*d^2*sqrt(Pi)*erfi(2*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^2/exp(4*a/b)+5/16*d^2*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^2/exp(2*a/b)+1/16*d^2*sqrt(3/2*Pi)*erfi(sqrt(6)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c^2/exp(6*a/b),1],
[(-c^2*d*x^2+d)^2/(a+b*arccosh(c*x))^(3/2),x,19,-2*d^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)/b/c/sqrt(a+b*arccosh(c*x))+5/8*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c-5/16*d^2*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c+1/16*d^2*exp(5*a/b)*sqrt(5*Pi)*erf(sqrt(5)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c+5/8*d^2*sqrt(Pi)*erfi(sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c/exp(a/b)-5/16*d^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c/exp(3*a/b)+1/16*d^2*sqrt(5*Pi)*erfi(sqrt(5)*sqrt(a+b*arccosh(c*x))/sqrt(b))/b^(3/2)/c/exp(5*a/b),1],
[(-c^2*d*x^2+d)^2/x/(a+b*arccosh(c*x))^(3/2),x,0,Defer(Int)((-c^2*d*x^2+d)^2/x/(a+b*arccosh(c*x))^(3/2),x),0],
[x/sqrt(-x^2+1)/sqrt(arccosh(x)),x,4,1/2*sqrt(Pi)*sqrt(-1+x)*erf(sqrt(arccosh(x)))/sqrt(1-x)+1/2*sqrt(Pi)*sqrt(-1+x)*erfi(sqrt(arccosh(x)))/sqrt(1-x),1],
[x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n,x,6,-1/8*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^(1+n)/b/c^3/(1+n)/sqrt(c*x-1)/sqrt(c*x+1)+sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-4*a-4*b*arccosh(c*x))/b)/(2^(6+2*n))/c^3/exp(4*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-exp(4*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,4*(a+b*arccosh(c*x))/b)/(2^(6+2*n))/c^3/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n,x,9,1/8*3^(-1-n)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-3*a-3*b*arccosh(c*x))/b)/c^2/exp(3*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-1/8*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,-(a+b*arccosh(c*x))/b)/c^2/exp(a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+1/8*exp(a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(a+b*arccosh(c*x))/b)/c^2/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)-1/8*3^(-1-n)*exp(3*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,3*(a+b*arccosh(c*x))/b)/c^2/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n,x,5,-1/2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^(1+n)/b/c/(1+n)/sqrt(c*x-1)/sqrt(c*x+1)+2^(-3-n)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arccosh(c*x))/b)/c/exp(2*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-2^(-3-n)*exp(2*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,2*(a+b*arccosh(c*x))/b)/c/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n/x,x,0,Defer(Int)(sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n/x,x),0],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n/x^2,x,0,Defer(Int)(sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n/x^2,x),0],
[x^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x,12,-1/16*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^(1+n)/b/c^3/(1+n)/sqrt(c*x-1)/sqrt(c*x+1)-2^(-7-n)*3^(-1-n)*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-6*a-6*b*arccosh(c*x))/b)/c^3/exp(6*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+2^(-7-2*n)*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-4*a-4*b*arccosh(c*x))/b)/c^3/exp(4*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+2^(-7-n)*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arccosh(c*x))/b)/c^3/exp(2*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-2^(-7-n)*d*exp(2*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,2*(a+b*arccosh(c*x))/b)/c^3/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)-2^(-7-2*n)*d*exp(4*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,4*(a+b*arccosh(c*x))/b)/c^3/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)+2^(-7-n)*3^(-1-n)*d*exp(6*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,6*(a+b*arccosh(c*x))/b)/c^3/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x,12,-1/32*5^(-1-n)*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-5*a-5*b*arccosh(c*x))/b)/c^2/exp(5*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+1/32*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-3*a-3*b*arccosh(c*x))/b)/(3^n)/c^2/exp(3*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-1/16*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,-(a+b*arccosh(c*x))/b)/c^2/exp(a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+1/16*d*exp(a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(a+b*arccosh(c*x))/b)/c^2/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)-1/32*d*exp(3*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,3*(a+b*arccosh(c*x))/b)/(3^n)/c^2/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)+1/32*5^(-1-n)*d*exp(5*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,5*(a+b*arccosh(c*x))/b)/c^2/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x,7,-3/8*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^(1+n)/b/c/(1+n)/sqrt(c*x-1)/sqrt(c*x+1)-4^(-3-n)*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-4*a-4*b*arccosh(c*x))/b)/c/exp(4*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+2^(-3-n)*d*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arccosh(c*x))/b)/c/exp(2*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-2^(-3-n)*d*exp(2*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,2*(a+b*arccosh(c*x))/b)/c/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)+4^(-3-n)*d*exp(4*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,4*(a+b*arccosh(c*x))/b)/c/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n/x,x,0,Defer(Int)((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n/x,x),0],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n/x^2,x,0,Defer(Int)((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n/x^2,x),0],
[x^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n,x,15,-5/128*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^(1+n)/b/c^3/(1+n)/sqrt(c*x-1)/sqrt(c*x+1)+2^(-11-3*n)*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-8*a-8*b*arccosh(c*x))/b)/c^3/exp(8*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-2^(-7-n)*3^(-1-n)*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-6*a-6*b*arccosh(c*x))/b)/c^3/exp(6*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-4*a-4*b*arccosh(c*x))/b)/(2^(8+2*n))/c^3/exp(4*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+2^(-7-n)*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arccosh(c*x))/b)/c^3/exp(2*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-2^(-7-n)*d^2*exp(2*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,2*(a+b*arccosh(c*x))/b)/c^3/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)-d^2*exp(4*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,4*(a+b*arccosh(c*x))/b)/(2^(8+2*n))/c^3/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)+2^(-7-n)*3^(-1-n)*d^2*exp(6*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,6*(a+b*arccosh(c*x))/b)/c^3/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)-2^(-11-3*n)*d^2*exp(8*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,8*(a+b*arccosh(c*x))/b)/c^3/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n,x,15,1/128*7^(-1-n)*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-7*a-7*b*arccosh(c*x))/b)/c^2/exp(7*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-1/128*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-5*a-5*b*arccosh(c*x))/b)/(5^n)/c^2/exp(5*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+1/128*3^(1-n)*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-3*a-3*b*arccosh(c*x))/b)/c^2/exp(3*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-5/128*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,-(a+b*arccosh(c*x))/b)/c^2/exp(a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+5/128*d^2*exp(a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(a+b*arccosh(c*x))/b)/c^2/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)-1/128*3^(1-n)*d^2*exp(3*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,3*(a+b*arccosh(c*x))/b)/c^2/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)+1/128*d^2*exp(5*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,5*(a+b*arccosh(c*x))/b)/(5^n)/c^2/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)-1/128*7^(-1-n)*d^2*exp(7*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,7*(a+b*arccosh(c*x))/b)/c^2/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n,x,9,-5/16*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^(1+n)/b/c/(1+n)/sqrt(c*x-1)/sqrt(c*x+1)+2^(-7-n)*3^(-1-n)*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-6*a-6*b*arccosh(c*x))/b)/c/exp(6*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-3*2^(-7-2*n)*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-4*a-4*b*arccosh(c*x))/b)/c/exp(4*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+15*2^(-7-n)*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arccosh(c*x))/b)/c/exp(2*a/b)/sqrt(c*x-1)/sqrt(c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-15*2^(-7-n)*d^2*exp(2*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,2*(a+b*arccosh(c*x))/b)/c/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)+3*2^(-7-2*n)*d^2*exp(4*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,4*(a+b*arccosh(c*x))/b)/c/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n)-2^(-7-n)*3^(-1-n)*d^2*exp(6*a/b)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n*GAMMA(1+n,6*(a+b*arccosh(c*x))/b)/c/sqrt(c*x-1)/sqrt(c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n/x,x,0,Defer(Int)((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n/x,x),0],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n/x^2,x,0,Defer(Int)((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))^n/x^2,x),0],
[x^3*(a+b*arccosh(c*x))^n/sqrt(-c^2*x^2+1),x,6,1/8*3^(-1-n)*sqrt(c*x-1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-3*a-3*b*arccosh(c*x))/b)/c^4/exp(3*a/b)/sqrt(-c*x+1)/((-(a+b*arccosh(c*x))/b)^n)+3/8*sqrt(c*x-1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,-(a+b*arccosh(c*x))/b)/c^4/exp(a/b)/sqrt(-c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-3/8*exp(a/b)*sqrt(c*x-1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(a+b*arccosh(c*x))/b)/c^4/sqrt(-c*x+1)/(((a+b*arccosh(c*x))/b)^n)-1/8*3^(-1-n)*exp(3*a/b)*sqrt(c*x-1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,3*(a+b*arccosh(c*x))/b)/c^4/sqrt(-c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[x^2*(a+b*arccosh(c*x))^n/sqrt(-c^2*x^2+1),x,4,1/2*sqrt(c*x-1)*(a+b*arccosh(c*x))^(1+n)/b/c^3/(1+n)/sqrt(-c*x+1)+2^(-3-n)*sqrt(c*x-1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arccosh(c*x))/b)/c^3/exp(2*a/b)/sqrt(-c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-2^(-3-n)*exp(2*a/b)*sqrt(c*x-1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,2*(a+b*arccosh(c*x))/b)/c^3/sqrt(-c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[x*(a+b*arccosh(c*x))^n/sqrt(-c^2*x^2+1),x,4,1/2*sqrt(c*x-1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,-(a+b*arccosh(c*x))/b)/c^2/exp(a/b)/sqrt(-c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-1/2*exp(a/b)*sqrt(c*x-1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(a+b*arccosh(c*x))/b)/c^2/sqrt(-c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[(a+b*arccosh(c*x))^n/sqrt(-c^2*x^2+1),x,2,-sqrt(-c*x+1)*(a+b*arccosh(c*x))^(1+n)/b/c/(1+n)/sqrt(c*x-1),1],
[(a+b*arccosh(c*x))^n/x/sqrt(-c^2*x^2+1),x,0,Defer(Int)((a+b*arccosh(c*x))^n/x/sqrt(-c^2*x^2+1),x),0],
[(a+b*arccosh(c*x))^n/x^2/sqrt(-c^2*x^2+1),x,0,Defer(Int)((a+b*arccosh(c*x))^n/x^2/sqrt(-c^2*x^2+1),x),0],
[x^3*(a+b*arccosh(c*x))^n/sqrt(-c^2*d*x^2+d),x,6,1/8*3^(-1-n)*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-3*a-3*b*arccosh(c*x))/b)/c^4/exp(3*a/b)/sqrt(-c^2*d*x^2+d)/((-(a+b*arccosh(c*x))/b)^n)+3/8*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,-(a+b*arccosh(c*x))/b)/c^4/exp(a/b)/sqrt(-c^2*d*x^2+d)/((-(a+b*arccosh(c*x))/b)^n)-3/8*exp(a/b)*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(a+b*arccosh(c*x))/b)/c^4/sqrt(-c^2*d*x^2+d)/(((a+b*arccosh(c*x))/b)^n)-1/8*3^(-1-n)*exp(3*a/b)*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,3*(a+b*arccosh(c*x))/b)/c^4/sqrt(-c^2*d*x^2+d)/(((a+b*arccosh(c*x))/b)^n),1],
[x^2*(a+b*arccosh(c*x))^n/sqrt(-c^2*d*x^2+d),x,4,1/2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^(1+n)/b/c^3/(1+n)/sqrt(-c^2*d*x^2+d)+2^(-3-n)*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arccosh(c*x))/b)/c^3/exp(2*a/b)/sqrt(-c^2*d*x^2+d)/((-(a+b*arccosh(c*x))/b)^n)-2^(-3-n)*exp(2*a/b)*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,2*(a+b*arccosh(c*x))/b)/c^3/sqrt(-c^2*d*x^2+d)/(((a+b*arccosh(c*x))/b)^n),1],
[x*(a+b*arccosh(c*x))^n/sqrt(-c^2*d*x^2+d),x,4,1/2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,-(a+b*arccosh(c*x))/b)/c^2/exp(a/b)/sqrt(-c^2*d*x^2+d)/((-(a+b*arccosh(c*x))/b)^n)-1/2*exp(a/b)*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(a+b*arccosh(c*x))/b)/c^2/sqrt(-c^2*d*x^2+d)/(((a+b*arccosh(c*x))/b)^n),1],
[(a+b*arccosh(c*x))^n/sqrt(-c^2*d*x^2+d),x,2,-sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^(1+n)/b/c/d/(1+n)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))^n/x/sqrt(-c^2*d*x^2+d),x,0,Defer(Int)((a+b*arccosh(c*x))^n/x/sqrt(-c^2*d*x^2+d),x),0],
[(a+b*arccosh(c*x))^n/x^2/sqrt(-c^2*d*x^2+d),x,0,Defer(Int)((a+b*arccosh(c*x))^n/x^2/sqrt(-c^2*d*x^2+d),x),0],
[x^2*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x,0,Defer(Int)(x^2*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x),0],
[x*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x,0,Defer(Int)(x*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x),0],
[(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x,0,Defer(Int)((a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x),0],
[(a+b*arccosh(c*x))^n/x/(-c^2*d*x^2+d)^(3/2),x,0,Defer(Int)((a+b*arccosh(c*x))^n/x/(-c^2*d*x^2+d)^(3/2),x),0],
[(a+b*arccosh(c*x))^n/x^2/(-c^2*d*x^2+d)^(3/2),x,0,Defer(Int)((a+b*arccosh(c*x))^n/x^2/(-c^2*d*x^2+d)^(3/2),x),0],
[(f*x)^m*(a+b*arccosh(c*x))^n/sqrt(-c^2*x^2+1),x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))^n/sqrt(-c^2*x^2+1),x),0],
[(f*x)^m*(-c^2*d*x^2+d)^2*(a+b*arccosh(c*x))^n,x,1,Defer(Int)(d^2*(f*x)^m*(-c^2*x^2+1)^2*(a+b*arccosh(c*x))^n,x),0],
[(f*x)^m*(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n,x,1,Defer(Int)(d*(f*x)^m*(-c^2*x^2+1)*(a+b*arccosh(c*x))^n,x),0],
[(f*x)^m*(a+b*arccosh(c*x))^n,x,0,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))^n,x),0],
[(f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d),x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))^n/d/(-c^2*x^2+1),x),0],
[(f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^2,x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))^n/d^2/(-c^2*x^2+1)^2,x),0],
[(f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x,1,Defer(Int)((f*x)^m*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))^n,x),0],
[(f*x)^m*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n,x,1,Defer(Int)((f*x)^m*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^n,x),0],
[(f*x)^m*(a+b*arccosh(c*x))^n/sqrt(-c^2*d*x^2+d),x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))^n/sqrt(-c^2*d*x^2+d),x),0],
[(f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))^n/(-c^2*d*x^2+d)^(3/2),x),0],
[x^4*(e*x^2+d)*(a+b*arccosh(c*x)),x,5,-8/3675*b*(49*c^2*d+30*e)*sqrt(c*x-1)*sqrt(c*x+1)/c^7-4/3675*b*(49*c^2*d+30*e)*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c^5-1/1225*b*(49*c^2*d+30*e)*x^4*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/49*b*e*x^6*sqrt(c*x-1)*sqrt(c*x+1)/c+1/5*d*x^5*(a+b*arccosh(c*x))+1/7*e*x^7*(a+b*arccosh(c*x)),1],
[x^3*(e*x^2+d)*(a+b*arccosh(c*x)),x,5,-1/96*b*(9*c^2*d+5*e)*x*sqrt(c*x-1)*sqrt(c*x+1)/c^5-1/144*b*(9*c^2*d+5*e)*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/36*b*e*x^5*sqrt(c*x-1)*sqrt(c*x+1)/c-1/96*b*(9*c^2*d+5*e)*arccosh(c*x)/c^6+1/4*d*x^4*(a+b*arccosh(c*x))+1/6*e*x^6*(a+b*arccosh(c*x)),1],
[x^2*(e*x^2+d)*(a+b*arccosh(c*x)),x,4,-2/225*b*(25*c^2*d+12*e)*sqrt(c*x-1)*sqrt(c*x+1)/c^5-1/225*b*(25*c^2*d+12*e)*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/25*b*e*x^4*sqrt(c*x-1)*sqrt(c*x+1)/c+1/3*d*x^3*(a+b*arccosh(c*x))+1/5*e*x^5*(a+b*arccosh(c*x)),1],
[x*(e*x^2+d)*(a+b*arccosh(c*x)),x,4,-1/32*b*(8*c^2*d+3*e)*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/16*b*e*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c-1/32*b*(8*c^2*d+3*e)*arccosh(c*x)/c^4+1/2*d*x^2*(a+b*arccosh(c*x))+1/4*e*x^4*(a+b*arccosh(c*x)),1],
[(e*x^2+d)*(a+b*arccosh(c*x)),x,3,-1/9*b*(9*c^2*d+2*e)*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/9*b*e*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c+d*x*(a+b*arccosh(c*x))+1/3*e*x^3*(a+b*arccosh(c*x)),1],
[(e*x^2+d)*(a+b*arccosh(c*x))/x,x,11,-1/4*b*e*x*sqrt(c*x-1)*sqrt(c*x+1)/c-1/4*b*e*arccosh(c*x)/c^2+1/2*e*x^2*(a+b*arccosh(c*x))-1/2*I*b*d*sqrt(-c^2*x^2+1)*arcsin(c*x)^2/sqrt(c*x-1)/sqrt(c*x+1)+b*d*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(1-exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+d*(a+b*arccosh(c*x))*ln(x)-b*d*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1)-1/2*I*b*d*sqrt(-c^2*x^2+1)*polylog(2,exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(e*x^2+d)*(a+b*arccosh(c*x))/x^2,x,4,-b*e*sqrt(c*x-1)*sqrt(c*x+1)/c-d*(a+b*arccosh(c*x))/x+e*x*(a+b*arccosh(c*x))+b*c*d*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[(e*x^2+d)*(a+b*arccosh(c*x))/x^3,x,9,1/2*b*c*d*sqrt(c*x-1)*sqrt(c*x+1)/x-1/2*d*(a+b*arccosh(c*x))/x^2-1/2*I*b*e*sqrt(-c^2*x^2+1)*arcsin(c*x)^2/sqrt(c*x-1)/sqrt(c*x+1)+b*e*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(1-exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+e*(a+b*arccosh(c*x))*ln(x)-b*e*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1)-1/2*I*b*e*sqrt(-c^2*x^2+1)*polylog(2,exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(e*x^2+d)*(a+b*arccosh(c*x))/x^4,x,4,1/6*b*c*d*sqrt(c*x-1)*sqrt(c*x+1)/x^2-1/3*d*(a+b*arccosh(c*x))/x^3-e*(a+b*arccosh(c*x))/x+1/6*b*c*(c^2*d+6*e)*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[x^4*(e*x^2+d)^2*(a+b*arccosh(c*x)),x,6,-1/315*b*(63*c^4*d^2+90*c^2*d*e+35*e^2)*sqrt(c*x-1)*sqrt(c*x+1)/c^9-2/945*b*(63*c^4*d^2+135*c^2*d*e+70*e^2)*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^9-1/525*b*(21*c^4*d^2+90*c^2*d*e+70*e^2)*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^9-2/441*b*e*(9*c^2*d+14*e)*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^9-1/81*b*e^2*(c*x-1)^(9/2)*(c*x+1)^(9/2)/c^9+1/5*d^2*x^5*(a+b*arccosh(c*x))+2/7*d*e*x^7*(a+b*arccosh(c*x))+1/9*e^2*x^9*(a+b*arccosh(c*x)),1],
[x^3*(e*x^2+d)^2*(a+b*arccosh(c*x)),x,9,-1/3072*b*(288*c^4*d^2+320*c^2*d*e+105*e^2)*x*sqrt(c*x-1)*sqrt(c*x+1)/c^7-1/4608*b*(288*c^4*d^2+320*c^2*d*e+105*e^2)*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c^5-1/1152*b*e*(64*c^2*d+21*e)*x^5*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/64*b*e^2*x^7*sqrt(c*x-1)*sqrt(c*x+1)/c+1/4*d^2*x^4*(a+b*arccosh(c*x))+1/3*d*e*x^6*(a+b*arccosh(c*x))+1/8*e^2*x^8*(a+b*arccosh(c*x))-1/3072*b*(288*c^4*d^2+320*c^2*d*e+105*e^2)*sqrt(c^2*x^2-1)*arctanh(c*x/sqrt(c^2*x^2-1))/c^8/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^2*(e*x^2+d)^2*(a+b*arccosh(c*x)),x,6,-1/105*b*(35*c^4*d^2+42*c^2*d*e+15*e^2)*sqrt(c*x-1)*sqrt(c*x+1)/c^7-1/315*b*(35*c^4*d^2+84*c^2*d*e+45*e^2)*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^7-1/175*b*e*(14*c^2*d+15*e)*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^7-1/49*b*e^2*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^7+1/3*d^2*x^3*(a+b*arccosh(c*x))+2/5*d*e*x^5*(a+b*arccosh(c*x))+1/7*e^2*x^7*(a+b*arccosh(c*x)),1],
[x*(e*x^2+d)^2*(a+b*arccosh(c*x)),x,7,-1/96*b*(24*c^4*d^2+18*c^2*d*e+5*e^2)*x*sqrt(c*x-1)*sqrt(c*x+1)/c^5-1/144*b*e*(18*c^2*d+5*e)*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/36*b*e^2*x^5*sqrt(c*x-1)*sqrt(c*x+1)/c+1/6*(e*x^2+d)^3*(a+b*arccosh(c*x))/e-1/96*b*(2*c^2*d+e)*(8*c^4*d^2+8*c^2*d*e+5*e^2)*sqrt(c^2*x^2-1)*arctanh(c*x/sqrt(c^2*x^2-1))/c^6/e/sqrt(c*x-1)/sqrt(c*x+1),1],
[(e*x^2+d)^2*(a+b*arccosh(c*x)),x,6,-1/15*b*(15*c^4*d^2+10*c^2*d*e+3*e^2)*sqrt(c*x-1)*sqrt(c*x+1)/c^5-2/45*b*e*(5*c^2*d+3*e)*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^5-1/25*b*e^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^5+d^2*x*(a+b*arccosh(c*x))+2/3*d*e*x^3*(a+b*arccosh(c*x))+1/5*e^2*x^5*(a+b*arccosh(c*x)),1],
[(e*x^2+d)^2*(a+b*arccosh(c*x))/x,x,13,-1/32*b*e*(16*c^2*d+3*e)*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/16*b*e^2*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c-1/32*b*e*(16*c^2*d+3*e)*arccosh(c*x)/c^4+d*e*x^2*(a+b*arccosh(c*x))+1/4*e^2*x^4*(a+b*arccosh(c*x))-1/2*I*b*d^2*sqrt(-c^2*x^2+1)*arcsin(c*x)^2/sqrt(c*x-1)/sqrt(c*x+1)+b*d^2*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(1-exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+d^2*(a+b*arccosh(c*x))*ln(x)-b*d^2*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1)-1/2*I*b*d^2*sqrt(-c^2*x^2+1)*polylog(2,exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(e*x^2+d)^2*(a+b*arccosh(c*x))/x^2,x,5,-2/9*b*e*(9*c^2*d+e)*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/9*b*e^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c-d^2*(a+b*arccosh(c*x))/x+2*d*e*x*(a+b*arccosh(c*x))+1/3*e^2*x^3*(a+b*arccosh(c*x))+b*c*d^2*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[(e*x^2+d)^2*(a+b*arccosh(c*x))/x^3,x,12,1/2*b*c*d^2*sqrt(c*x-1)*sqrt(c*x+1)/x-1/4*b*e^2*x*sqrt(c*x-1)*sqrt(c*x+1)/c-1/4*b*e^2*arccosh(c*x)/c^2-1/2*d^2*(a+b*arccosh(c*x))/x^2+1/2*e^2*x^2*(a+b*arccosh(c*x))-I*b*d*e*sqrt(-c^2*x^2+1)*arcsin(c*x)^2/sqrt(c*x-1)/sqrt(c*x+1)+2*b*d*e*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(1-exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+2*d*e*(a+b*arccosh(c*x))*ln(x)-2*b*d*e*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1)-I*b*d*e*sqrt(-c^2*x^2+1)*polylog(2,exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(e*x^2+d)^2*(a+b*arccosh(c*x))/x^4,x,6,-b*e^2*sqrt(c*x-1)*sqrt(c*x+1)/c+1/6*b*c*d^2*sqrt(c*x-1)*sqrt(c*x+1)/x^2-1/3*d^2*(a+b*arccosh(c*x))/x^3-2*d*e*(a+b*arccosh(c*x))/x+e^2*x*(a+b*arccosh(c*x))+1/6*b*c*d*(c^2*d+12*e)*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[x^4*(e*x^2+d)^3*(a+b*arccosh(c*x)),x,6,-1/1155*b*(231*c^6*d^3+495*c^4*d^2*e+385*c^2*d*e^2+105*e^3)*sqrt(c*x-1)*sqrt(c*x+1)/c^11-1/3465*b*(462*c^6*d^3+1485*c^4*d^2*e+1540*c^2*d*e^2+525*e^3)*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^11-1/1925*b*(77*c^6*d^3+495*c^4*d^2*e+770*c^2*d*e^2+350*e^3)*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^11-1/1617*b*e*(99*c^4*d^2+308*c^2*d*e+210*e^2)*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^11-1/297*b*e^2*(11*c^2*d+15*e)*(c*x-1)^(9/2)*(c*x+1)^(9/2)/c^11-1/121*b*e^3*(c*x-1)^(11/2)*(c*x+1)^(11/2)/c^11+1/5*d^3*x^5*(a+b*arccosh(c*x))+3/7*d^2*e*x^7*(a+b*arccosh(c*x))+1/3*d*e^2*x^9*(a+b*arccosh(c*x))+1/11*e^3*x^11*(a+b*arccosh(c*x)),1],
[x^3*(e*x^2+d)^3*(a+b*arccosh(c*x)),x,10,-1/5120*b*(480*c^6*d^3+800*c^4*d^2*e+525*c^2*d*e^2+126*e^3)*x*sqrt(c*x-1)*sqrt(c*x+1)/c^9-1/7680*b*(480*c^6*d^3+800*c^4*d^2*e+525*c^2*d*e^2+126*e^3)*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c^7-1/9600*b*e*(800*c^4*d^2+525*c^2*d*e+126*e^2)*x^5*sqrt(c*x-1)*sqrt(c*x+1)/c^5-3/1600*b*e^2*(25*c^2*d+6*e)*x^7*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/100*b*e^3*x^9*sqrt(c*x-1)*sqrt(c*x+1)/c-1/8*d*(e*x^2+d)^4*(a+b*arccosh(c*x))/e^2+1/10*(e*x^2+d)^5*(a+b*arccosh(c*x))/e^2+1/5120*b*(128*c^10*d^5-480*c^6*d^3*e^2-800*c^4*d^2*e^3-525*c^2*d*e^4-126*e^5)*sqrt(c^2*x^2-1)*arctanh(c*x/sqrt(c^2*x^2-1))/c^10/e^2/sqrt(c*x-1)/sqrt(c*x+1),1],
[x^2*(e*x^2+d)^3*(a+b*arccosh(c*x)),x,6,-1/315*b*(105*c^6*d^3+189*c^4*d^2*e+135*c^2*d*e^2+35*e^3)*sqrt(c*x-1)*sqrt(c*x+1)/c^9-1/945*b*(105*c^6*d^3+378*c^4*d^2*e+405*c^2*d*e^2+140*e^3)*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^9-1/525*b*e*(63*c^4*d^2+135*c^2*d*e+70*e^2)*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^9-1/441*b*e^2*(27*c^2*d+28*e)*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^9-1/81*b*e^3*(c*x-1)^(9/2)*(c*x+1)^(9/2)/c^9+1/3*d^3*x^3*(a+b*arccosh(c*x))+3/5*d^2*e*x^5*(a+b*arccosh(c*x))+3/7*d*e^2*x^7*(a+b*arccosh(c*x))+1/9*e^3*x^9*(a+b*arccosh(c*x)),1],
[x*(e*x^2+d)^3*(a+b*arccosh(c*x)),x,8,-1/1024*b*(256*c^6*d^3+288*c^4*d^2*e+160*c^2*d*e^2+35*e^3)*x*sqrt(c*x-1)*sqrt(c*x+1)/c^7-1/1536*b*e*(288*c^4*d^2+160*c^2*d*e+35*e^2)*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c^5-1/384*b*e^2*(32*c^2*d+7*e)*x^5*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/64*b*e^3*x^7*sqrt(c*x-1)*sqrt(c*x+1)/c+1/8*(e*x^2+d)^4*(a+b*arccosh(c*x))/e-1/1024*b*(128*c^8*d^4+256*c^6*d^3*e+288*c^4*d^2*e^2+160*c^2*d*e^3+35*e^4)*sqrt(c^2*x^2-1)*arctanh(c*x/sqrt(c^2*x^2-1))/c^8/e/sqrt(c*x-1)/sqrt(c*x+1),1],
[(e*x^2+d)^3*(a+b*arccosh(c*x)),x,6,-1/35*b*(35*c^6*d^3+35*c^4*d^2*e+21*c^2*d*e^2+5*e^3)*sqrt(c*x-1)*sqrt(c*x+1)/c^7-1/105*b*e*(35*c^4*d^2+42*c^2*d*e+15*e^2)*(c*x-1)^(3/2)*(c*x+1)^(3/2)/c^7-3/175*b*e^2*(7*c^2*d+5*e)*(c*x-1)^(5/2)*(c*x+1)^(5/2)/c^7-1/49*b*e^3*(c*x-1)^(7/2)*(c*x+1)^(7/2)/c^7+d^3*x*(a+b*arccosh(c*x))+d^2*e*x^3*(a+b*arccosh(c*x))+3/5*d*e^2*x^5*(a+b*arccosh(c*x))+1/7*e^3*x^7*(a+b*arccosh(c*x)),1],
[(e*x^2+d)^3*(a+b*arccosh(c*x))/x,x,18,-3/4*b*d^2*e*x*sqrt(c*x-1)*sqrt(c*x+1)/c-9/32*b*d*e^2*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3-5/96*b*e^3*x*sqrt(c*x-1)*sqrt(c*x+1)/c^5-3/16*b*d*e^2*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c-5/144*b*e^3*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/36*b*e^3*x^5*sqrt(c*x-1)*sqrt(c*x+1)/c-3/4*b*d^2*e*arccosh(c*x)/c^2-9/32*b*d*e^2*arccosh(c*x)/c^4-5/96*b*e^3*arccosh(c*x)/c^6+3/2*d^2*e*x^2*(a+b*arccosh(c*x))+3/4*d*e^2*x^4*(a+b*arccosh(c*x))+1/6*e^3*x^6*(a+b*arccosh(c*x))-1/2*I*b*d^3*sqrt(-c^2*x^2+1)*arcsin(c*x)^2/sqrt(c*x-1)/sqrt(c*x+1)+b*d^3*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(1-exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+d^3*(a+b*arccosh(c*x))*ln(x)-b*d^3*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1)-1/2*I*b*d^3*sqrt(-c^2*x^2+1)*polylog(2,exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(e*x^2+d)^3*(a+b*arccosh(c*x))/x^2,x,6,-1/75*b*e*(225*c^4*d^2+50*c^2*d*e+8*e^2)*sqrt(c*x-1)*sqrt(c*x+1)/c^5-1/75*b*e^2*(25*c^2*d+4*e)*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/25*b*e^3*x^4*sqrt(c*x-1)*sqrt(c*x+1)/c-d^3*(a+b*arccosh(c*x))/x+3*d^2*e*x*(a+b*arccosh(c*x))+d*e^2*x^3*(a+b*arccosh(c*x))+1/5*e^3*x^5*(a+b*arccosh(c*x))+b*c*d^3*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[(e*x^2+d)^3*(a+b*arccosh(c*x))/x^3,x,14,1/2*b*c*d^3*sqrt(c*x-1)*sqrt(c*x+1)/x-3/32*b*e^2*(8*c^2*d+e)*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3-1/16*b*e^3*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c-3/32*b*e^2*(8*c^2*d+e)*arccosh(c*x)/c^4-1/2*d^3*(a+b*arccosh(c*x))/x^2+3/2*d*e^2*x^2*(a+b*arccosh(c*x))+1/4*e^3*x^4*(a+b*arccosh(c*x))-3/2*I*b*d^2*e*sqrt(-c^2*x^2+1)*arcsin(c*x)^2/sqrt(c*x-1)/sqrt(c*x+1)+3*b*d^2*e*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(1-exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1)+3*d^2*e*(a+b*arccosh(c*x))*ln(x)-3*b*d^2*e*sqrt(-c^2*x^2+1)*arcsin(c*x)*ln(x)/sqrt(c*x-1)/sqrt(c*x+1)-3/2*I*b*d^2*e*sqrt(-c^2*x^2+1)*polylog(2,exp(2*I*arcsin(c*x)))/sqrt(c*x-1)/sqrt(c*x+1),1],
[(e*x^2+d)^3*(a+b*arccosh(c*x))/x^4,x,8,-1/9*b*e^2*(27*c^2*d+2*e)*sqrt(c*x-1)*sqrt(c*x+1)/c^3+1/6*b*c*d^3*sqrt(c*x-1)*sqrt(c*x+1)/x^2-1/9*b*e^3*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c-1/3*d^3*(a+b*arccosh(c*x))/x^3-3*d^2*e*(a+b*arccosh(c*x))/x+3*d*e^2*x*(a+b*arccosh(c*x))+1/3*e^3*x^3*(a+b*arccosh(c*x))+1/6*b*c*d^2*(c^2*d+18*e)*arctan(sqrt(c*x-1)*sqrt(c*x+1)),1],
[x^4*(a+b*arccosh(c*x))/(e*x^2+d),x,26,-a*d*x/e^2+b*d*sqrt(c*x-1)*sqrt(c*x+1)/c/e^2-2/9*b*sqrt(c*x-1)*sqrt(c*x+1)/c^3/e-1/9*b*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c/e-b*d*x*arccosh(c*x)/e^2+1/3*x^3*(a+b*arccosh(c*x))/e+1/2*(-d)^(3/2)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(5/2)-1/2*(-d)^(3/2)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(5/2)+1/2*(-d)^(3/2)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(5/2)-1/2*(-d)^(3/2)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(5/2)-1/2*b*(-d)^(3/2)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(5/2)+1/2*b*(-d)^(3/2)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(5/2)-1/2*b*(-d)^(3/2)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(5/2)+1/2*b*(-d)^(3/2)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(5/2),1],
[x^3*(a+b*arccosh(c*x))/(e*x^2+d),x,23,-1/4*b*x*sqrt(c*x-1)*sqrt(c*x+1)/c/e-1/4*b*arccosh(c*x)/c^2/e+1/2*x^2*(a+b*arccosh(c*x))/e+1/2*d*(a+b*arccosh(c*x))^2/b/e^2-1/2*d*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^2-1/2*d*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^2-1/2*d*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^2-1/2*d*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^2-1/2*b*d*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^2-1/2*b*d*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^2-1/2*b*d*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^2-1/2*b*d*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^2,1],
[x^2*(a+b*arccosh(c*x))/(e*x^2+d),x,23,a*x/e-b*sqrt(c*x-1)*sqrt(c*x+1)/c/e+b*x*arccosh(c*x)/e+1/2*sqrt(-d)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(3/2)-1/2*sqrt(-d)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(3/2)+1/2*sqrt(-d)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(3/2)-1/2*sqrt(-d)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(3/2)-1/2*b*sqrt(-d)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(3/2)+1/2*b*sqrt(-d)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(3/2)-1/2*b*sqrt(-d)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(3/2)+1/2*b*sqrt(-d)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(3/2),1],
[x*(a+b*arccosh(c*x))/(e*x^2+d),x,18,-1/2*(a+b*arccosh(c*x))^2/b/e+1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e+1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e+1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e+1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e+1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e+1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e+1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e+1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e,1],
[(a+b*arccosh(c*x))/(e*x^2+d),x,18,1/2*(a+b*arccosh(c*x))*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))*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))*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))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)-1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)+1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)-1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e)+1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/sqrt(e),1],
[(a+b*arccosh(c*x))/x/(e*x^2+d),x,23,-1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d-1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d-1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d-1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d+(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/d-1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d-1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d-1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d-1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d+1/2*b*polylog(2,-exp(2*arccosh(c*x)))/d,1],
[(a+b*arccosh(c*x))/x^2/(e*x^2+d),x,23,-(a+b*arccosh(c*x))/d/x+b*c*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d+1/2*sqrt(e)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)-1/2*sqrt(e)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)+1/2*sqrt(e)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)-1/2*sqrt(e)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)-1/2*b*sqrt(e)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)+1/2*b*sqrt(e)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)-1/2*b*sqrt(e)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)+1/2*b*sqrt(e)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2),1],
[(a+b*arccosh(c*x))/x^3/(e*x^2+d),x,25,1/2*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d/x-1/2*(a+b*arccosh(c*x))/d/x^2+1/2*e*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^2+1/2*e*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^2+1/2*e*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^2+1/2*e*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^2-e*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/d^2+1/2*b*e*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^2+1/2*b*e*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^2+1/2*b*e*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^2+1/2*b*e*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^2-1/2*b*e*polylog(2,-exp(2*arccosh(c*x)))/d^2,1],
[(a+b*arccosh(c*x))/x^4/(e*x^2+d),x,27,1/6*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d/x^2-1/3*(a+b*arccosh(c*x))/d/x^3+e*(a+b*arccosh(c*x))/d^2/x+1/6*b*c^3*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d-b*c*e*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d^2+1/2*e^(3/2)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)-1/2*e^(3/2)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)+1/2*e^(3/2)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2)-1/2*e^(3/2)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2)-1/2*b*e^(3/2)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)+1/2*b*e^(3/2)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)-1/2*b*e^(3/2)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2)+1/2*b*e^(3/2)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2),1],
[x^3*(a+b*arccosh(c*x))/(e*x^2+d)^2,x,24,1/2*d*(a+b*arccosh(c*x))/e^2/(e*x^2+d)-1/2*(a+b*arccosh(c*x))^2/b/e^2-1/2*b*c*sqrt(d)*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/e^2/sqrt(c^2*d+e)/sqrt(c*x-1)/sqrt(c*x+1)+1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^2+1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^2+1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^2+1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^2+1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^2+1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^2+1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^2+1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^2,1],
[x*(a+b*arccosh(c*x))/(e*x^2+d)^2,x,4,-1/2*(a+b*arccosh(c*x))/e/(e*x^2+d)+1/2*b*c*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/sqrt(d)/e/sqrt(c^2*d+e)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/x/(e*x^2+d)^2,x,27,1/2*(a+b*arccosh(c*x))/d/(e*x^2+d)-1/2*b*c*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/d^(3/2)/sqrt(c^2*d+e)/sqrt(c*x-1)/sqrt(c*x+1)-1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^2-1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^2-1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^2-1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^2+(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/d^2-1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^2-1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^2-1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^2-1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^2+1/2*b*polylog(2,-exp(2*arccosh(c*x)))/d^2,1],
[(a+b*arccosh(c*x))/x^3/(e*x^2+d)^2,x,29,1/2*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d^2/x-1/2*(a+b*arccosh(c*x))/d^2/x^2-1/2*e*(a+b*arccosh(c*x))/d^2/(e*x^2+d)+1/2*b*c*e*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/d^(5/2)/sqrt(c^2*d+e)/sqrt(c*x-1)/sqrt(c*x+1)+e*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^3+e*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^3+e*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^3+e*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^3-2*e*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/d^3+b*e*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^3+b*e*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^3+b*e*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^3+b*e*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^3-b*e*polylog(2,-exp(2*arccosh(c*x)))/d^3,1],
[x^4*(a+b*arccosh(c*x))/(e*x^2+d)^2,x,49,a*x/e^2-b*sqrt(c*x-1)*sqrt(c*x+1)/c/e^2+b*x*arccosh(c*x)/e^2-1/4*d*(a+b*arccosh(c*x))/e^(5/2)/(sqrt(-d)-sqrt(e)*x)+1/4*d*(a+b*arccosh(c*x))/e^(5/2)/(sqrt(-d)+sqrt(e)*x)+1/2*b*c*d*arctanh(sqrt(c*sqrt(-d)-sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(c*x-1))/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/e^(5/2)-1/2*b*c*d*arctanh(sqrt(c*sqrt(-d)+sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*x-1))/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/e^(5/2)+3/4*sqrt(-d)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(5/2)-3/4*sqrt(-d)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(5/2)+3/4*sqrt(-d)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(5/2)-3/4*sqrt(-d)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(5/2)-3/4*b*sqrt(-d)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(5/2)+3/4*b*sqrt(-d)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^(5/2)-3/4*b*sqrt(-d)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(5/2)+3/4*b*sqrt(-d)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^(5/2),1],
[x^2*(a+b*arccosh(c*x))/(e*x^2+d)^2,x,46,1/4*(a+b*arccosh(c*x))/e^(3/2)/(sqrt(-d)-sqrt(e)*x)-1/4*(a+b*arccosh(c*x))/e^(3/2)/(sqrt(-d)+sqrt(e)*x)-1/2*b*c*arctanh(sqrt(c*sqrt(-d)-sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(c*x-1))/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/e^(3/2)+1/2*b*c*arctanh(sqrt(c*sqrt(-d)+sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*x-1))/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/e^(3/2)+1/4*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/e^(3/2)-1/4*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/e^(3/2)+1/4*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/e^(3/2)-1/4*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/e^(3/2)-1/4*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/e^(3/2)+1/4*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/e^(3/2)-1/4*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/e^(3/2)+1/4*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/e^(3/2),1],
[(a+b*arccosh(c*x))/(e*x^2+d)^2,x,26,-1/4*(a+b*arccosh(c*x))/d/sqrt(e)/(sqrt(-d)-sqrt(e)*x)+1/4*(a+b*arccosh(c*x))/d/sqrt(e)/(sqrt(-d)+sqrt(e)*x)+1/2*b*c*arctanh(sqrt(c*sqrt(-d)-sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(c*x-1))/d/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(e)-1/2*b*c*arctanh(sqrt(c*sqrt(-d)+sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*x-1))/d/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(e)-1/4*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)/sqrt(e)+1/4*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)/sqrt(e)-1/4*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)/sqrt(e)+1/4*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)/sqrt(e)+1/4*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)/sqrt(e)-1/4*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)/sqrt(e)+1/4*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)/sqrt(e)-1/4*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)/sqrt(e),1],
[(a+b*arccosh(c*x))/x^2/(e*x^2+d)^2,x,49,-(a+b*arccosh(c*x))/d^2/x+1/4*sqrt(e)*(a+b*arccosh(c*x))/d^2/(sqrt(-d)-sqrt(e)*x)-1/4*sqrt(e)*(a+b*arccosh(c*x))/d^2/(sqrt(-d)+sqrt(e)*x)+b*c*arctan(sqrt(c*x-1)*sqrt(c*x+1))/d^2-1/2*b*c*sqrt(e)*arctanh(sqrt(c*sqrt(-d)-sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(c*x-1))/d^2/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))+1/2*b*c*sqrt(e)*arctanh(sqrt(c*sqrt(-d)+sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*x-1))/d^2/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))-3/4*sqrt(e)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)+3/4*sqrt(e)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)-3/4*sqrt(e)*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2)+3/4*sqrt(e)*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2)+3/4*b*sqrt(e)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)-3/4*b*sqrt(e)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)+3/4*b*sqrt(e)*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2)-3/4*b*sqrt(e)*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2),1],
[x^5*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,29,-1/8*b*c*d*x*sqrt(c*x-1)*sqrt(c*x+1)/e^2/(c^2*d+e)/(e*x^2+d)-1/4*d^2*(a+b*arccosh(c*x))/e^3/(e*x^2+d)^2+d*(a+b*arccosh(c*x))/e^3/(e*x^2+d)-1/2*(a+b*arccosh(c*x))^2/b/e^3-b*c*sqrt(d)*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/e^3/sqrt(c^2*d+e)/sqrt(c*x-1)/sqrt(c*x+1)+1/8*b*c*sqrt(d)*(2*c^2*d+e)*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/e^3/(c^2*d+e)^(3/2)/sqrt(c*x-1)/sqrt(c*x+1)+1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^3+1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^3+1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^3+1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^3+1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^3+1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/e^3+1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^3+1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/e^3,1],
[x^3*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,9,1/8*b*c*x*sqrt(c*x-1)*sqrt(c*x+1)/e/(c^2*d+e)/(e*x^2+d)+1/4*x^4*(a+b*arccosh(c*x))/d/(e*x^2+d)^2-1/4*b*sqrt(c^2*x^2-1)*arctanh(c*x/sqrt(c^2*x^2-1))/d/e^2/sqrt(c*x-1)/sqrt(c*x+1)+1/8*b*c*(2*c^2*d+3*e)*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/sqrt(d)/e^2/(c^2*d+e)^(3/2)/sqrt(c*x-1)/sqrt(c*x+1),1],
[x*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,5,-1/8*b*c*x*sqrt(c*x-1)*sqrt(c*x+1)/d/(c^2*d+e)/(e*x^2+d)-1/4*(a+b*arccosh(c*x))/e/(e*x^2+d)^2+1/8*b*c*(2*c^2*d+e)*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/d^(3/2)/e/(c^2*d+e)^(3/2)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(a+b*arccosh(c*x))/x/(e*x^2+d)^3,x,32,1/8*b*c*e*x*sqrt(c*x-1)*sqrt(c*x+1)/d^2/(c^2*d+e)/(e*x^2+d)+1/4*(a+b*arccosh(c*x))/d/(e*x^2+d)^2+1/2*(a+b*arccosh(c*x))/d^2/(e*x^2+d)-1/2*b*c*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/d^(5/2)/sqrt(c^2*d+e)/sqrt(c*x-1)/sqrt(c*x+1)-1/8*b*c*(2*c^2*d+e)*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/d^(5/2)/(c^2*d+e)^(3/2)/sqrt(c*x-1)/sqrt(c*x+1)-1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^3-1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^3-1/2*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^3-1/2*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^3+(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/d^3-1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^3-1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^3-1/2*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^3-1/2*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^3+1/2*b*polylog(2,-exp(2*arccosh(c*x)))/d^3,1],
[(a+b*arccosh(c*x))/x^3/(e*x^2+d)^3,x,34,1/2*b*c*sqrt(c*x-1)*sqrt(c*x+1)/d^3/x-1/8*b*c*e^2*x*sqrt(c*x-1)*sqrt(c*x+1)/d^3/(c^2*d+e)/(e*x^2+d)-1/2*(a+b*arccosh(c*x))/d^3/x^2-1/4*e*(a+b*arccosh(c*x))/d^2/(e*x^2+d)^2-e*(a+b*arccosh(c*x))/d^3/(e*x^2+d)+b*c*e*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/d^(7/2)/sqrt(c^2*d+e)/sqrt(c*x-1)/sqrt(c*x+1)+1/8*b*c*e*(2*c^2*d+e)*sqrt(c^2*x^2-1)*arctanh(sqrt(c^2*d+e)*x/sqrt(d)/sqrt(c^2*x^2-1))/d^(7/2)/(c^2*d+e)^(3/2)/sqrt(c*x-1)/sqrt(c*x+1)+3/2*e*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^4+3/2*e*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^4+3/2*e*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^4+3/2*e*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^4-3*e*(a+b*arccosh(c*x))*ln(1+exp(2*arccosh(c*x)))/d^4+3/2*b*e*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^4+3/2*b*e*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/d^4+3/2*b*e*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^4+3/2*b*e*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/d^4-3/2*b*e*polylog(2,-exp(2*arccosh(c*x)))/d^4,1],
[x^4*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,80,-1/16*b*c*sqrt(-d)*sqrt(c*x-1)*sqrt(c*x+1)/e^2/(c^2*d+e)/(sqrt(-d)-sqrt(e)*x)-1/16*b*c*sqrt(-d)*sqrt(c*x-1)*sqrt(c*x+1)/e^2/(c^2*d+e)/(sqrt(-d)+sqrt(e)*x)-1/16*sqrt(-d)*(a+b*arccosh(c*x))/e^(5/2)/(sqrt(-d)-sqrt(e)*x)^2+5/16*(a+b*arccosh(c*x))/e^(5/2)/(sqrt(-d)-sqrt(e)*x)+1/16*sqrt(-d)*(a+b*arccosh(c*x))/e^(5/2)/(sqrt(-d)+sqrt(e)*x)^2-5/16*(a+b*arccosh(c*x))/e^(5/2)/(sqrt(-d)+sqrt(e)*x)-1/8*b*c^3*d*arctanh(sqrt(c*sqrt(-d)-sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(c*x-1))/(c*sqrt(-d)-sqrt(e))^(3/2)/(c*sqrt(-d)+sqrt(e))^(3/2)/e^(5/2)-5/8*b*c*arctanh(sqrt(c*sqrt(-d)-sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(c*x-1))/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/e^(5/2)+1/8*b*c^3*d*arctanh(sqrt(c*sqrt(-d)+sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*x-1))/(c*sqrt(-d)-sqrt(e))^(3/2)/(c*sqrt(-d)+sqrt(e))^(3/2)/e^(5/2)+5/8*b*c*arctanh(sqrt(c*sqrt(-d)+sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*x-1))/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/e^(5/2)+3/16*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/e^(5/2)-3/16*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/e^(5/2)+3/16*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/e^(5/2)-3/16*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/e^(5/2)-3/16*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/e^(5/2)+3/16*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/sqrt(-d)/e^(5/2)-3/16*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/e^(5/2)+3/16*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/sqrt(-d)/e^(5/2),1],
[x^2*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,62,-1/16*b*c*sqrt(c*x-1)*sqrt(c*x+1)/sqrt(-d)/e/(c^2*d+e)/(sqrt(-d)-sqrt(e)*x)-1/16*b*c*sqrt(c*x-1)*sqrt(c*x+1)/sqrt(-d)/e/(c^2*d+e)/(sqrt(-d)+sqrt(e)*x)-1/16*(a+b*arccosh(c*x))/sqrt(-d)/e^(3/2)/(sqrt(-d)-sqrt(e)*x)^2-1/16*(a+b*arccosh(c*x))/d/e^(3/2)/(sqrt(-d)-sqrt(e)*x)+1/16*(a+b*arccosh(c*x))/sqrt(-d)/e^(3/2)/(sqrt(-d)+sqrt(e)*x)^2+1/16*(a+b*arccosh(c*x))/d/e^(3/2)/(sqrt(-d)+sqrt(e)*x)+1/8*b*c^3*arctanh(sqrt(c*sqrt(-d)-sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(c*x-1))/(c*sqrt(-d)-sqrt(e))^(3/2)/(c*sqrt(-d)+sqrt(e))^(3/2)/e^(3/2)+1/8*b*c*arctanh(sqrt(c*sqrt(-d)-sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(c*x-1))/d/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/e^(3/2)-1/8*b*c^3*arctanh(sqrt(c*sqrt(-d)+sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*x-1))/(c*sqrt(-d)-sqrt(e))^(3/2)/(c*sqrt(-d)+sqrt(e))^(3/2)/e^(3/2)-1/8*b*c*arctanh(sqrt(c*sqrt(-d)+sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*x-1))/d/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/e^(3/2)-1/16*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)/e^(3/2)+1/16*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)/e^(3/2)-1/16*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)/e^(3/2)+1/16*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)/e^(3/2)+1/16*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)/e^(3/2)-1/16*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(3/2)/e^(3/2)+1/16*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)/e^(3/2)-1/16*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(3/2)/e^(3/2),1],
[(a+b*arccosh(c*x))/(e*x^2+d)^3,x,34,-1/16*b*c*sqrt(c*x-1)*sqrt(c*x+1)/(-d)^(3/2)/(c^2*d+e)/(sqrt(-d)-sqrt(e)*x)-1/16*b*c*sqrt(c*x-1)*sqrt(c*x+1)/(-d)^(3/2)/(c^2*d+e)/(sqrt(-d)+sqrt(e)*x)-1/16*(a+b*arccosh(c*x))/(-d)^(3/2)/sqrt(e)/(sqrt(-d)-sqrt(e)*x)^2-3/16*(a+b*arccosh(c*x))/d^2/sqrt(e)/(sqrt(-d)-sqrt(e)*x)+1/16*(a+b*arccosh(c*x))/(-d)^(3/2)/sqrt(e)/(sqrt(-d)+sqrt(e)*x)^2+3/16*(a+b*arccosh(c*x))/d^2/sqrt(e)/(sqrt(-d)+sqrt(e)*x)-1/8*b*c^3*arctanh(sqrt(c*sqrt(-d)-sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(c*x-1))/d/(c*sqrt(-d)-sqrt(e))^(3/2)/(c*sqrt(-d)+sqrt(e))^(3/2)/sqrt(e)+3/8*b*c*arctanh(sqrt(c*sqrt(-d)-sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(c*x-1))/d^2/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(e)+1/8*b*c^3*arctanh(sqrt(c*sqrt(-d)+sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*x-1))/d/(c*sqrt(-d)-sqrt(e))^(3/2)/(c*sqrt(-d)+sqrt(e))^(3/2)/sqrt(e)-3/8*b*c*arctanh(sqrt(c*sqrt(-d)+sqrt(e))*sqrt(c*x+1)/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*x-1))/d^2/sqrt(c*sqrt(-d)-sqrt(e))/sqrt(c*sqrt(-d)+sqrt(e))/sqrt(e)+3/16*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)/sqrt(e)-3/16*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)/sqrt(e)+3/16*(a+b*arccosh(c*x))*ln(1-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2)/sqrt(e)-3/16*(a+b*arccosh(c*x))*ln(1+sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2)/sqrt(e)-3/16*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)/sqrt(e)+3/16*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d-e)))/(-d)^(5/2)/sqrt(e)-3/16*b*polylog(2,-sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2)/sqrt(e)+3/16*b*polylog(2,sqrt(e)*exp(arccosh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d-e)))/(-d)^(5/2)/sqrt(e),1],
[(f*x)^m*(e*x^2+d)^3*(a+b*arccosh(c*x)),x,7,-b*e*(3*c^2*d*e*(7+m)^2*(m^2+7*m+12)+3*c^4*d^2*(m^2+12*m+35)^2+e^2*(m^4+18*m^3+119*m^2+342*m+360))*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)/c^5/f^2/(3+m)^2/(5+m)^2/(7+m)^2-b*e^2*(3*c^2*d*(7+m)^2+e*(m^2+11*m+30))*(f*x)^(4+m)*sqrt(c*x-1)*sqrt(c*x+1)/c^3/f^4/(5+m)^2/(7+m)^2-b*e^3*(f*x)^(6+m)*sqrt(c*x-1)*sqrt(c*x+1)/c/f^6/(7+m)^2+d^3*(f*x)^(1+m)*(a+b*arccosh(c*x))/f/(1+m)+3*d^2*e*(f*x)^(3+m)*(a+b*arccosh(c*x))/f^3/(3+m)+3*d*e^2*(f*x)^(5+m)*(a+b*arccosh(c*x))/f^5/(5+m)+e^3*(f*x)^(7+m)*(a+b*arccosh(c*x))/f^7/(7+m)-b*(c^6*d^3*(3+m)*(5+m)*(7+m)/(1+m)+e*(2+m)*(3*c^2*d*e*(7+m)^2*(m^2+7*m+12)+3*c^4*d^2*(m^2+12*m+35)^2+e^2*(m^4+18*m^3+119*m^2+342*m+360))/(3+m)/(5+m)/(7+m))*(f*x)^(2+m)*sqrt(-c*x+1)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],c^2*x^2)/c^5/f^2/(2+m)/(3+m)/(5+m)/(7+m)/sqrt(c*x-1),1],
[(f*x)^m*(e*x^2+d)^2*(a+b*arccosh(c*x)),x,6,-b*e*(2*c^2*d*(5+m)^2+e*(m^2+7*m+12))*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)/c^3/f^2/(3+m)^2/(5+m)^2-b*e^2*(f*x)^(4+m)*sqrt(c*x-1)*sqrt(c*x+1)/c/f^4/(5+m)^2+d^2*(f*x)^(1+m)*(a+b*arccosh(c*x))/f/(1+m)+2*d*e*(f*x)^(3+m)*(a+b*arccosh(c*x))/f^3/(3+m)+e^2*(f*x)^(5+m)*(a+b*arccosh(c*x))/f^5/(5+m)-b*(c^4*d^2*(3+m)*(5+m)/(1+m)+e*(2+m)*(2*c^2*d*(5+m)^2+e*(m^2+7*m+12))/(3+m)/(5+m))*(f*x)^(2+m)*sqrt(-c*x+1)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],c^2*x^2)/c^3/f^2/(2+m)/(3+m)/(5+m)/sqrt(c*x-1),1],
[(f*x)^m*(e*x^2+d)*(a+b*arccosh(c*x)),x,5,-b*e*(f*x)^(2+m)*sqrt(c*x-1)*sqrt(c*x+1)/c/f^2/(3+m)^2+d*(f*x)^(1+m)*(a+b*arccosh(c*x))/f/(1+m)+e*(f*x)^(3+m)*(a+b*arccosh(c*x))/f^3/(3+m)-b*(e*(1+m)*(2+m)+c^2*d*(3+m)^2)*(f*x)^(2+m)*sqrt(-c*x+1)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],c^2*x^2)/c/f^2/(1+m)/(2+m)/(3+m)^2/sqrt(c*x-1),1],
[(f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d),x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d),x),0],
[(f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d)^2,x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d)^2,x),0],
[(f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d)^3,x,1,Defer(Int)((f*x)^m*(a+b*arccosh(c*x))/(e*x^2+d)^3,x),0]]: