lst:=[[(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x)),x,5,-16/35*b*d^3*sqrt(c^2*x^2+1)/c-8/105*b*d^3*(c^2*x^2+1)^(3/2)/c-6/175*b*d^3*(c^2*x^2+1)^(5/2)/c-1/49*b*d^3*(c^2*x^2+1)^(7/2)/c+d^3*x*(a+b*arcsinh(c*x))+c^2*d^3*x^3*(a+b*arcsinh(c*x))+3/5*c^4*d^3*x^5*(a+b*arcsinh(c*x))+1/7*c^6*d^3*x^7*(a+b*arcsinh(c*x)),1],
[(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x)),x,5,-8/15*b*d^2*sqrt(c^2*x^2+1)/c-4/45*b*d^2*(c^2*x^2+1)^(3/2)/c-1/25*b*d^2*(c^2*x^2+1)^(5/2)/c+d^2*x*(a+b*arcsinh(c*x))+2/3*c^2*d^2*x^3*(a+b*arcsinh(c*x))+1/5*c^4*d^2*x^5*(a+b*arcsinh(c*x)),1],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,5,-2/3*b*d*sqrt(c^2*x^2+1)/c-1/9*b*d*(c^2*x^2+1)^(3/2)/c+d*x*(a+b*arcsinh(c*x))+1/3*c^2*d*x^3*(a+b*arcsinh(c*x)),1],
[(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x,4,2*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/d-I*b*polylog(2,-I*exp(arcsinh(c*x)))/c/d+I*b*polylog(2,I*exp(arcsinh(c*x)))/c/d,1],
[(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x,6,1/2*b/c/d^2/sqrt(c^2*x^2+1)+1/2*x*(a+b*arcsinh(c*x))/d^2/(c^2*x^2+1)+(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/d^2-1/2*I*b*polylog(2,-I*exp(arcsinh(c*x)))/c/d^2+1/2*I*b*polylog(2,I*exp(arcsinh(c*x)))/c/d^2,1],
[(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x,8,1/12*b/c/d^3/(c^2*x^2+1)^(3/2)+3/8*b/c/d^3/sqrt(c^2*x^2+1)+1/4*x*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)^2+3/8*x*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)+3/4*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/d^3-3/8*I*b*polylog(2,-I*exp(arcsinh(c*x)))/c/d^3+3/8*I*b*polylog(2,I*exp(arcsinh(c*x)))/c/d^3,1],
[(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x,14,4322/3675*b^2*d^3*x+1514/11025*b^2*c^2*d^3*x^3+234/6125*b^2*c^4*d^3*x^5+2/343*b^2*c^6*d^3*x^7-32/35*b*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-16/105*b*d^3*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c-12/175*b*d^3*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c-2/49*b*d^3*(c^2*x^2+1)^(7/2)*(a+b*arcsinh(c*x))/c+16/35*d^3*x*(a+b*arcsinh(c*x))^2+8/35*d^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+6/35*d^3*x*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2+1/7*d^3*x*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^2,1],
[(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x,10,298/225*b^2*d^2*x+76/675*b^2*c^2*d^2*x^3+2/125*b^2*c^4*d^2*x^5-16/15*b*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-8/45*b*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c-2/25*b*d^2*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c+8/15*d^2*x*(a+b*arcsinh(c*x))^2+4/15*d^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+1/5*d^2*x*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2,1],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,6,14/9*b^2*d*x+2/27*b^2*c^2*d*x^3-4/3*b*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-2/9*b*d*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c+2/3*d*x*(a+b*arcsinh(c*x))^2+1/3*d*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2,1],
[(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x,6,2*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/c/d-2*I*b*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/c/d+2*I*b*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/c/d+2*I*b^2*polylog(3,-I*exp(arcsinh(c*x)))/c/d-2*I*b^2*polylog(3,I*exp(arcsinh(c*x)))/c/d,1],
[(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x,9,b*(a+b*arcsinh(c*x))/c/d^2/sqrt(c^2*x^2+1)+1/2*x*(a+b*arcsinh(c*x))^2/d^2/(c^2*x^2+1)+(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/c/d^2-b^2*arctan(c*x)/c/d^2-I*b*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/c/d^2+I*b*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/c/d^2+I*b^2*polylog(3,-I*exp(arcsinh(c*x)))/c/d^2-I*b^2*polylog(3,I*exp(arcsinh(c*x)))/c/d^2,1],
[(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^3,x,22,-413312/128625*b^3*d^3*sqrt(c^2*x^2+1)/c-30256/385875*b^3*d^3*(c^2*x^2+1)^(3/2)/c-2664/214375*b^3*d^3*(c^2*x^2+1)^(5/2)/c-6/2401*b^3*d^3*(c^2*x^2+1)^(7/2)/c+4322/1225*b^2*d^3*x*(a+b*arcsinh(c*x))+1514/3675*b^2*c^2*d^3*x^3*(a+b*arcsinh(c*x))+702/6125*b^2*c^4*d^3*x^5*(a+b*arcsinh(c*x))+6/343*b^2*c^6*d^3*x^7*(a+b*arcsinh(c*x))-48/35*b*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c-8/35*b*d^3*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^2/c-18/175*b*d^3*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))^2/c-3/49*b*d^3*(c^2*x^2+1)^(7/2)*(a+b*arcsinh(c*x))^2/c+16/35*d^3*x*(a+b*arcsinh(c*x))^3+8/35*d^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^3+6/35*d^3*x*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^3+1/7*d^3*x*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^3,1],
[(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^3,x,15,-4144/1125*b^3*d^2*sqrt(c^2*x^2+1)/c-272/3375*b^3*d^2*(c^2*x^2+1)^(3/2)/c-6/625*b^3*d^2*(c^2*x^2+1)^(5/2)/c+298/75*b^2*d^2*x*(a+b*arcsinh(c*x))+76/225*b^2*c^2*d^2*x^3*(a+b*arcsinh(c*x))+6/125*b^2*c^4*d^2*x^5*(a+b*arcsinh(c*x))-8/5*b*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c-4/15*b*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^2/c-3/25*b*d^2*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))^2/c+8/15*d^2*x*(a+b*arcsinh(c*x))^3+4/15*d^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^3+1/5*d^2*x*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^3,1],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3,x,8,-40/9*b^3*d*sqrt(c^2*x^2+1)/c-2/27*b^3*d*(c^2*x^2+1)^(3/2)/c+14/3*b^2*d*x*(a+b*arcsinh(c*x))+2/9*b^2*c^2*d*x^3*(a+b*arcsinh(c*x))-2*b*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c-1/3*b*d*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^2/c+2/3*d*x*(a+b*arcsinh(c*x))^3+1/3*d*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^3,1],
[(a+b*arcsinh(c*x))^3/(c^2*d*x^2+d),x,8,2*(a+b*arcsinh(c*x))^3*arctan(exp(arcsinh(c*x)))/c/d-3*I*b*(a+b*arcsinh(c*x))^2*polylog(2,-I*exp(arcsinh(c*x)))/c/d+3*I*b*(a+b*arcsinh(c*x))^2*polylog(2,I*exp(arcsinh(c*x)))/c/d+6*I*b^2*(a+b*arcsinh(c*x))*polylog(3,-I*exp(arcsinh(c*x)))/c/d-6*I*b^2*(a+b*arcsinh(c*x))*polylog(3,I*exp(arcsinh(c*x)))/c/d-6*I*b^3*polylog(4,-I*exp(arcsinh(c*x)))/c/d+6*I*b^3*polylog(4,I*exp(arcsinh(c*x)))/c/d,1],
[(a+b*arcsinh(c*x))^3/(c^2*d*x^2+d)^2,x,14,3/2*b*(a+b*arcsinh(c*x))^2/c/d^2/sqrt(c^2*x^2+1)+1/2*x*(a+b*arcsinh(c*x))^3/d^2/(c^2*x^2+1)-6*b^2*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/d^2+(a+b*arcsinh(c*x))^3*arctan(exp(arcsinh(c*x)))/c/d^2+3*I*b^3*polylog(2,-I*exp(arcsinh(c*x)))/c/d^2-3/2*I*b*(a+b*arcsinh(c*x))^2*polylog(2,-I*exp(arcsinh(c*x)))/c/d^2-3*I*b^3*polylog(2,I*exp(arcsinh(c*x)))/c/d^2+3/2*I*b*(a+b*arcsinh(c*x))^2*polylog(2,I*exp(arcsinh(c*x)))/c/d^2+3*I*b^2*(a+b*arcsinh(c*x))*polylog(3,-I*exp(arcsinh(c*x)))/c/d^2-3*I*b^2*(a+b*arcsinh(c*x))*polylog(3,I*exp(arcsinh(c*x)))/c/d^2-3*I*b^3*polylog(4,-I*exp(arcsinh(c*x)))/c/d^2+3*I*b^3*polylog(4,I*exp(arcsinh(c*x)))/c/d^2,1],
[(a^2*c*x^2+c)^3/arcsinh(a*x),x,7,35/64*c^3*Chi(arcsinh(a*x))/a+21/64*c^3*Chi(3*arcsinh(a*x))/a+7/64*c^3*Chi(5*arcsinh(a*x))/a+1/64*c^3*Chi(7*arcsinh(a*x))/a,1],
[(a^2*c*x^2+c)^2/arcsinh(a*x),x,6,5/8*c^2*Chi(arcsinh(a*x))/a+5/16*c^2*Chi(3*arcsinh(a*x))/a+1/16*c^2*Chi(5*arcsinh(a*x))/a,1],
[(a^2*c*x^2+c)/arcsinh(a*x),x,5,3/4*c*Chi(arcsinh(a*x))/a+1/4*c*Chi(3*arcsinh(a*x))/a,1],
[1/(a^2*c*x^2+c)/arcsinh(a*x),x,0,Defer(Int)(1/(a^2*c*x^2+c)/arcsinh(a*x),x),0],
[1/(a^2*c*x^2+c)^2/arcsinh(a*x),x,0,Defer(Int)(1/(a^2*c*x^2+c)^2/arcsinh(a*x),x),0],
[(a^2*c*x^2+c)^3/arcsinh(a*x)^2,x,8,-c^3*(a^2*x^2+1)^(7/2)/a/arcsinh(a*x)+35/64*c^3*Shi(arcsinh(a*x))/a+63/64*c^3*Shi(3*arcsinh(a*x))/a+35/64*c^3*Shi(5*arcsinh(a*x))/a+7/64*c^3*Shi(7*arcsinh(a*x))/a,1],
[(a^2*c*x^2+c)^2/arcsinh(a*x)^2,x,7,-c^2*(a^2*x^2+1)^(5/2)/a/arcsinh(a*x)+5/8*c^2*Shi(arcsinh(a*x))/a+15/16*c^2*Shi(3*arcsinh(a*x))/a+5/16*c^2*Shi(5*arcsinh(a*x))/a,1],
[(a^2*c*x^2+c)/arcsinh(a*x)^2,x,6,-c*(a^2*x^2+1)^(3/2)/a/arcsinh(a*x)+3/4*c*Shi(arcsinh(a*x))/a+3/4*c*Shi(3*arcsinh(a*x))/a,1],
[1/(a^2*c*x^2+c)/arcsinh(a*x)^2,x,0,Defer(Int)(1/(a^2*c*x^2+c)/arcsinh(a*x)^2,x),0],
[1/(a^2*c*x^2+c)^2/arcsinh(a*x)^2,x,0,Defer(Int)(1/(a^2*c*x^2+c)^2/arcsinh(a*x)^2,x),0],
[(c^2*d*x^2+d)^3/(a+b*arcsinh(c*x)),x,15,35/64*d^3*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b/c+21/64*d^3*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b/c+7/64*d^3*cosh(5*a/b)*Chi(5*(a+b*arcsinh(c*x))/b)/b/c+1/64*d^3*cosh(7*a/b)*Chi(7*(a+b*arcsinh(c*x))/b)/b/c-35/64*d^3*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c-21/64*d^3*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c-7/64*d^3*sinh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b/c-1/64*d^3*sinh(7*a/b)*Shi(7*(a+b*arcsinh(c*x))/b)/b/c,1],
[(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x)),x,12,5/8*d^2*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b/c+5/16*d^2*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b/c+1/16*d^2*cosh(5*a/b)*Chi(5*(a+b*arcsinh(c*x))/b)/b/c-5/8*d^2*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c-5/16*d^2*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c-1/16*d^2*sinh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b/c,1],
[(c^2*d*x^2+d)/(a+b*arcsinh(c*x)),x,9,3/4*d*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b/c+1/4*d*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b/c-3/4*d*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c-1/4*d*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c,1],
[1/(c^2*d*x^2+d)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(c^2*d*x^2+d)/(a+b*arcsinh(c*x)),x),0],
[1/(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x)),x),0],
[(c^2*d*x^2+d)^3/(a+b*arcsinh(c*x))^2,x,16,-d^3*(c^2*x^2+1)^(7/2)/b/c/(a+b*arcsinh(c*x))-35/64*d^3*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b^2/c-63/64*d^3*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b^2/c-35/64*d^3*Chi(5*(a+b*arcsinh(c*x))/b)*sinh(5*a/b)/b^2/c-7/64*d^3*Chi(7*(a+b*arcsinh(c*x))/b)*sinh(7*a/b)/b^2/c+35/64*d^3*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c+63/64*d^3*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c+35/64*d^3*cosh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b^2/c+7/64*d^3*cosh(7*a/b)*Shi(7*(a+b*arcsinh(c*x))/b)/b^2/c,1],
[(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^2,x,13,-d^2*(c^2*x^2+1)^(5/2)/b/c/(a+b*arcsinh(c*x))-5/8*d^2*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b^2/c-15/16*d^2*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b^2/c-5/16*d^2*Chi(5*(a+b*arcsinh(c*x))/b)*sinh(5*a/b)/b^2/c+5/8*d^2*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c+15/16*d^2*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c+5/16*d^2*cosh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b^2/c,1],
[(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^2,x,10,-d*(c^2*x^2+1)^(3/2)/b/c/(a+b*arcsinh(c*x))-3/4*d*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b^2/c-3/4*d*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b^2/c+3/4*d*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c+3/4*d*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c,1],
[1/(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^2,x),0],
[1/(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^2,x),0],
[(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x)),x,7,-5/32*b*c*Pi^(5/2)*x^2-5/96*b*Pi^(5/2)*(c^2*x^2+1)^2/c-1/36*b*Pi^(5/2)*(c^2*x^2+1)^3/c+5/16*Pi^2*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))+5/24*Pi*x*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))+1/6*x*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))+5/32*Pi^(5/2)*(a+b*arcsinh(c*x))^2/b/c,1],
[(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x)),x,5,-3/16*b*c*Pi^(3/2)*x^2-1/16*b*Pi^(3/2)*(c^2*x^2+1)^2/c+3/8*Pi*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))+1/4*x*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))+3/16*Pi^(3/2)*(a+b*arcsinh(c*x))^2/b/c,1],
[sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x)),x,3,-1/4*b*c*sqrt(Pi)*x^2+1/2*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))+1/4*sqrt(Pi)*(a+b*arcsinh(c*x))^2/b/c,1],
[(a+b*arcsinh(c*x))/sqrt(Pi*c^2*x^2+Pi),x,1,1/2*(a+b*arcsinh(c*x))^2/b/c/sqrt(Pi),1],
[(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(3/2),x,2,x*(a+b*arcsinh(c*x))/Pi/sqrt(Pi*c^2*x^2+Pi)-1/2*b*ln(c^2*x^2+1)/c/Pi^(3/2),1],
[(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(5/2),x,4,1/6*b/c/Pi^(5/2)/(c^2*x^2+1)+1/3*x*(a+b*arcsinh(c*x))/Pi/(Pi*c^2*x^2+Pi)^(3/2)+2/3*x*(a+b*arcsinh(c*x))/Pi^2/sqrt(Pi*c^2*x^2+Pi)-1/3*b*ln(c^2*x^2+1)/c/Pi^(5/2),1],
[(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(7/2),x,6,1/20*b/c/Pi^(7/2)/(c^2*x^2+1)^2+2/15*b/c/Pi^(7/2)/(c^2*x^2+1)+1/5*x*(a+b*arcsinh(c*x))/Pi/(Pi*c^2*x^2+Pi)^(5/2)+4/15*x*(a+b*arcsinh(c*x))/Pi^2/(Pi*c^2*x^2+Pi)^(3/2)+8/15*x*(a+b*arcsinh(c*x))/Pi^3/sqrt(Pi*c^2*x^2+Pi)-4/15*b*ln(c^2*x^2+1)/c/Pi^(7/2),1],
[(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))^2,x,10,15/64*b^2*Pi^(3/2)*x*sqrt(c^2*x^2+1)+1/32*b^2*Pi^(3/2)*x*(c^2*x^2+1)^(3/2)-9/64*b^2*Pi^(3/2)*arcsinh(c*x)/c-3/8*b*c*Pi^(3/2)*x^2*(a+b*arcsinh(c*x))-1/8*b*Pi^(3/2)*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))/c+3/8*Pi*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))^2+1/4*x*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))^2+1/8*Pi^(3/2)*(a+b*arcsinh(c*x))^3/b/c,1],
[sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))^2,x,5,1/4*b^2*sqrt(Pi)*x*sqrt(c^2*x^2+1)-1/4*b^2*sqrt(Pi)*arcsinh(c*x)/c-1/2*b*c*sqrt(Pi)*x^2*(a+b*arcsinh(c*x))+1/2*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))^2+1/6*sqrt(Pi)*(a+b*arcsinh(c*x))^3/b/c,1],
[(a+b*arcsinh(c*x))^2/sqrt(Pi*c^2*x^2+Pi),x,1,1/3*(a+b*arcsinh(c*x))^3/b/c/sqrt(Pi),1],
[(a+b*arcsinh(c*x))^2/(Pi*c^2*x^2+Pi)^(3/2),x,4,(a+b*arcsinh(c*x))^2/c/Pi^(3/2)+x*(a+b*arcsinh(c*x))^2/Pi/sqrt(Pi*c^2*x^2+Pi)-2*b*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/Pi^(3/2)-b^2*polylog(2,-exp(2*arcsinh(c*x)))/c/Pi^(3/2),1],
[(a+b*arcsinh(c*x))^2/(Pi*c^2*x^2+Pi)^(5/2),x,7,-1/3*b^2*x/Pi^(5/2)/sqrt(c^2*x^2+1)+1/3*b*(a+b*arcsinh(c*x))/c/Pi^(5/2)/(c^2*x^2+1)+2/3*(a+b*arcsinh(c*x))^2/c/Pi^(5/2)+1/3*x*(a+b*arcsinh(c*x))^2/Pi/(Pi*c^2*x^2+Pi)^(3/2)+2/3*x*(a+b*arcsinh(c*x))^2/Pi^2/sqrt(Pi*c^2*x^2+Pi)-4/3*b*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/Pi^(5/2)-2/3*b^2*polylog(2,-exp(2*arcsinh(c*x)))/c/Pi^(5/2),1],
[sqrt(x^2+1)*arcsinh(x),x,3,-1/4*x^2+1/2*x*sqrt(x^2+1)*arcsinh(x)+1/4*arcsinh(x)^2,1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x,8,-5/32*b*c*d^2*x^2*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-5/96*b*d^2*(c^2*x^2+1)^(3/2)*sqrt(c^2*d*x^2+d)/c-1/36*b*d^2*(c^2*x^2+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*arcsinh(c*x))+5/24*d*x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))+1/6*x*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))+5/32*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x)),x,6,-3/16*b*c*d*x^2*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/16*b*d*(c^2*x^2+1)^(3/2)*sqrt(c^2*d*x^2+d)/c+3/8*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))+1/4*x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))+3/16*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,4,-1/4*b*c*x^2*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+1/2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))+1/4*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[(a+b*arcsinh(c*x))/sqrt(c^2*d*x^2+d),x,2,1/2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x,3,x*(a+b*arcsinh(c*x))/d/sqrt(c^2*d*x^2+d)-1/2*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c/d/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x,5,1/6*b/c/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)+1/3*x*(a+b*arcsinh(c*x))/d/(c^2*d*x^2+d)^(3/2)+2/3*x*(a+b*arcsinh(c*x))/d^2/sqrt(c^2*d*x^2+d)-1/3*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c/d^2/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(7/2),x,7,1/20*b/c/d^3/(c^2*x^2+1)^(3/2)/sqrt(c^2*d*x^2+d)+2/15*b/c/d^3/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)+1/5*x*(a+b*arcsinh(c*x))/d/(c^2*d*x^2+d)^(5/2)+4/15*x*(a+b*arcsinh(c*x))/d^2/(c^2*d*x^2+d)^(3/2)+8/15*x*(a+b*arcsinh(c*x))/d^3/sqrt(c^2*d*x^2+d)-4/15*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c/d^3/sqrt(c^2*d*x^2+d),1],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2,x,11,15/64*b^2*d*x*sqrt(c^2*d*x^2+d)+1/32*b^2*x*(c^2*d*x^2+d)^(3/2)-9/64*b^2*d*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)-3/8*b*c*d*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-1/8*b*d*(c^2*x^2+1)^(3/2)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c+3/8*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2+1/4*x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2+1/8*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,6,1/4*b^2*x*sqrt(c^2*d*x^2+d)-1/4*b^2*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)-1/2*b*c*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2+1/6*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[(a+b*arcsinh(c*x))^2/sqrt(c^2*d*x^2+d),x,2,1/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x,5,x*(a+b*arcsinh(c*x))^2/d/sqrt(c^2*d*x^2+d)+sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d/sqrt(c^2*d*x^2+d)-2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/d/sqrt(c^2*d*x^2+d)-b^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c/d/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x,8,-1/3*b^2*x/d^2/sqrt(c^2*d*x^2+d)+1/3*b*(a+b*arcsinh(c*x))/c/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)+1/3*x*(a+b*arcsinh(c*x))^2/d/(c^2*d*x^2+d)^(3/2)+2/3*x*(a+b*arcsinh(c*x))^2/d^2/sqrt(c^2*d*x^2+d)+2/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d^2/sqrt(c^2*d*x^2+d)-4/3*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/d^2/sqrt(c^2*d*x^2+d)-2/3*b^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c/d^2/sqrt(c^2*d*x^2+d),1],
[(a^2*c*x^2+c)^(3/2)*arcsinh(a*x)^3,x,14,-45/128*a*c*x^2*sqrt(a^2*c*x^2+c)/sqrt(a^2*x^2+1)-3/128*c*(a^2*x^2+1)^(3/2)*sqrt(a^2*c*x^2+c)/a+45/64*c*x*sqrt(a^2*c*x^2+c)*arcsinh(a*x)+3/32*x*(a^2*c*x^2+c)^(3/2)*arcsinh(a*x)-27/128*c*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^2/a/sqrt(a^2*x^2+1)-9/16*a*c*x^2*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^2/sqrt(a^2*x^2+1)-3/16*c*(a^2*x^2+1)^(3/2)*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^2/a+3/8*c*x*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^3+1/4*x*(a^2*c*x^2+c)^(3/2)*arcsinh(a*x)^3+3/32*c*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^4/a/sqrt(a^2*x^2+1),1],
[sqrt(a^2*c*x^2+c)*arcsinh(a*x)^3,x,7,-3/8*a*x^2*sqrt(a^2*c*x^2+c)/sqrt(a^2*x^2+1)+3/4*x*sqrt(a^2*c*x^2+c)*arcsinh(a*x)-3/8*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^2/a/sqrt(a^2*x^2+1)-3/4*a*x^2*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^2/sqrt(a^2*x^2+1)+1/2*x*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^3+1/8*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^4/a/sqrt(a^2*x^2+1),1],
[arcsinh(a*x)^3/sqrt(a^2*c*x^2+c),x,2,1/4*sqrt(a^2*x^2+1)*arcsinh(a*x)^4/a/sqrt(a^2*c*x^2+c),1],
[arcsinh(a*x)^3/(a^2*c*x^2+c)^(3/2),x,6,x*arcsinh(a*x)^3/c/sqrt(a^2*c*x^2+c)+sqrt(a^2*x^2+1)*arcsinh(a*x)^3/a/c/sqrt(a^2*c*x^2+c)-3*sqrt(a^2*x^2+1)*arcsinh(a*x)^2*ln(1+exp(2*arcsinh(a*x)))/a/c/sqrt(a^2*c*x^2+c)-3*sqrt(a^2*x^2+1)*arcsinh(a*x)*polylog(2,-exp(2*arcsinh(a*x)))/a/c/sqrt(a^2*c*x^2+c)+3/2*sqrt(a^2*x^2+1)*polylog(3,-exp(2*arcsinh(a*x)))/a/c/sqrt(a^2*c*x^2+c),1],
[arcsinh(a*x)^3/(a^2*c*x^2+c)^(5/2),x,10,-x*arcsinh(a*x)/c^2/sqrt(a^2*c*x^2+c)+1/2*arcsinh(a*x)^2/a/c^2/sqrt(a^2*x^2+1)/sqrt(a^2*c*x^2+c)+1/3*x*arcsinh(a*x)^3/c/(a^2*c*x^2+c)^(3/2)+2/3*x*arcsinh(a*x)^3/c^2/sqrt(a^2*c*x^2+c)+2/3*sqrt(a^2*x^2+1)*arcsinh(a*x)^3/a/c^2/sqrt(a^2*c*x^2+c)-2*sqrt(a^2*x^2+1)*arcsinh(a*x)^2*ln(1+exp(2*arcsinh(a*x)))/a/c^2/sqrt(a^2*c*x^2+c)+1/2*sqrt(a^2*x^2+1)*ln(a^2*x^2+1)/a/c^2/sqrt(a^2*c*x^2+c)-2*sqrt(a^2*x^2+1)*arcsinh(a*x)*polylog(2,-exp(2*arcsinh(a*x)))/a/c^2/sqrt(a^2*c*x^2+c)+sqrt(a^2*x^2+1)*polylog(3,-exp(2*arcsinh(a*x)))/a/c^2/sqrt(a^2*c*x^2+c),1],
[(c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x)),x,13,15/32*d^2*sqrt(c^2*d*x^2+d)*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1)+3/16*d^2*sqrt(c^2*d*x^2+d)*cosh(4*a/b)*Chi(4*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1)+1/32*d^2*sqrt(c^2*d*x^2+d)*cosh(6*a/b)*Chi(6*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1)+5/16*d^2*sqrt(c^2*d*x^2+d)*ln(a+b*arcsinh(c*x))/b/c/sqrt(c^2*x^2+1)-15/32*d^2*sqrt(c^2*d*x^2+d)*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1)-3/16*d^2*sqrt(c^2*d*x^2+d)*sinh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1)-1/32*d^2*sqrt(c^2*d*x^2+d)*sinh(6*a/b)*Shi(6*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x)),x,10,1/2*d*sqrt(c^2*d*x^2+d)*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1)+1/8*d*sqrt(c^2*d*x^2+d)*cosh(4*a/b)*Chi(4*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1)+3/8*d*sqrt(c^2*d*x^2+d)*ln(a+b*arcsinh(c*x))/b/c/sqrt(c^2*x^2+1)-1/2*d*sqrt(c^2*d*x^2+d)*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1)-1/8*d*sqrt(c^2*d*x^2+d)*sinh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x)),x,7,1/2*sqrt(c^2*d*x^2+d)*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1)+1/2*sqrt(c^2*d*x^2+d)*ln(a+b*arcsinh(c*x))/b/c/sqrt(c^2*x^2+1)-1/2*sqrt(c^2*d*x^2+d)*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c/sqrt(c^2*x^2+1),1],
[1/sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x)),x,2,sqrt(c^2*x^2+1)*ln(a+b*arcsinh(c*x))/b/c/sqrt(c^2*d*x^2+d),1],
[1/(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x)),x),0],
[1/(c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x)),x),0],
[(c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x))^2,x,14,-d^2*(c^2*x^2+1)^(5/2)*sqrt(c^2*d*x^2+d)/b/c/(a+b*arcsinh(c*x))-15/16*d^2*sqrt(c^2*d*x^2+d)*Chi(2*(a+b*arcsinh(c*x))/b)*sinh(2*a/b)/b^2/c/sqrt(c^2*x^2+1)-3/4*d^2*sqrt(c^2*d*x^2+d)*Chi(4*(a+b*arcsinh(c*x))/b)*sinh(4*a/b)/b^2/c/sqrt(c^2*x^2+1)-3/16*d^2*sqrt(c^2*d*x^2+d)*Chi(6*(a+b*arcsinh(c*x))/b)*sinh(6*a/b)/b^2/c/sqrt(c^2*x^2+1)+15/16*d^2*sqrt(c^2*d*x^2+d)*cosh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b^2/c/sqrt(c^2*x^2+1)+3/4*d^2*sqrt(c^2*d*x^2+d)*cosh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b^2/c/sqrt(c^2*x^2+1)+3/16*d^2*sqrt(c^2*d*x^2+d)*cosh(6*a/b)*Shi(6*(a+b*arcsinh(c*x))/b)/b^2/c/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x))^2,x,11,-d*(c^2*x^2+1)^(3/2)*sqrt(c^2*d*x^2+d)/b/c/(a+b*arcsinh(c*x))-d*sqrt(c^2*d*x^2+d)*Chi(2*(a+b*arcsinh(c*x))/b)*sinh(2*a/b)/b^2/c/sqrt(c^2*x^2+1)-1/2*d*sqrt(c^2*d*x^2+d)*Chi(4*(a+b*arcsinh(c*x))/b)*sinh(4*a/b)/b^2/c/sqrt(c^2*x^2+1)+d*sqrt(c^2*d*x^2+d)*cosh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b^2/c/sqrt(c^2*x^2+1)+1/2*d*sqrt(c^2*d*x^2+d)*cosh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b^2/c/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^2,x,8,-sqrt(c^2*x^2+1)*sqrt(c^2*d*x^2+d)/b/c/(a+b*arcsinh(c*x))-sqrt(c^2*d*x^2+d)*Chi(2*(a+b*arcsinh(c*x))/b)*sinh(2*a/b)/b^2/c/sqrt(c^2*x^2+1)+sqrt(c^2*d*x^2+d)*cosh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b^2/c/sqrt(c^2*x^2+1),1],
[1/sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^2,x,2,-sqrt(c^2*x^2+1)/b/c/sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x)),1],
[1/(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x))^2,x),0],
[1/(c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/(c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x))^2,x),0],
[1/sqrt(a^2*x^2+1)/arcsinh(a*x)^3,x,1,-1/2/a/arcsinh(a*x)^2,1],
[(c^2*d*x^2+d)^2*sqrt(a+b*arcsinh(c*x)),x,21,8/15*d^2*x*sqrt(a+b*arcsinh(c*x))+4/15*d^2*x*(c^2*x^2+1)*sqrt(a+b*arcsinh(c*x))+1/5*d^2*x*(c^2*x^2+1)^2*sqrt(a+b*arcsinh(c*x))+5/32*sqrt(b)*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+1/60*sqrt(b)*d^2*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+1/320*sqrt(b)*d^2*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+1/320*sqrt(b)*d^2*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c-5/32*sqrt(b)*d^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b)-1/60*sqrt(b)*d^2*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(3*a/b)-1/320*sqrt(b)*d^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(3*a/b)-1/320*sqrt(b)*d^2*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(5*a/b),1],
[(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x)),x,12,2/3*d*x*sqrt(a+b*arcsinh(c*x))+1/3*d*x*(c^2*x^2+1)*sqrt(a+b*arcsinh(c*x))+3/16*sqrt(b)*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+1/48*sqrt(b)*d*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c-3/16*sqrt(b)*d*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b)-1/48*sqrt(b)*d*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(3*a/b),1],
[sqrt(a+b*arcsinh(c*x)),x,5,x*sqrt(a+b*arcsinh(c*x))+1/4*sqrt(b)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c-1/4*sqrt(b)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b),1],
[sqrt(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x,0,Defer(Int)(sqrt(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x),0],
[sqrt(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x,0,Defer(Int)(sqrt(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x),0],
[(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^(3/2),x,40,-4/5*b*d^2*sqrt(c^2*x^2+1)*sqrt(a+b*arcsinh(c*x))/c+8/15*d^2*x*(a+b*arcsinh(c*x))^(3/2)+4/15*d^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^(3/2)+1/5*d^2*x*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^(3/2)-2/15*b*d^2*sqrt(a+b*arcsinh(c*x))*cosh(a/b-(a+b*arcsinh(c*x))/b)^3/c-3/50*b*d^2*sqrt(a+b*arcsinh(c*x))*cosh(a/b-(a+b*arcsinh(c*x))/b)^5/c+15/64*b^(3/2)*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+1/120*b^(3/2)*d^2*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+1/640*b^(3/2)*d^2*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+3/3200*b^(3/2)*d^2*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+15/64*b^(3/2)*d^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b)+1/120*b^(3/2)*d^2*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(3*a/b)+1/640*b^(3/2)*d^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(3*a/b)+3/3200*b^(3/2)*d^2*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(5*a/b),1],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(3/2),x,20,-b*d*sqrt(c^2*x^2+1)*sqrt(a+b*arcsinh(c*x))/c+2/3*d*x*(a+b*arcsinh(c*x))^(3/2)+1/3*d*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^(3/2)-1/6*b*d*sqrt(a+b*arcsinh(c*x))*cosh(a/b-(a+b*arcsinh(c*x))/b)^3/c+9/32*b^(3/2)*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+1/96*b^(3/2)*d*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+9/32*b^(3/2)*d*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b)+1/96*b^(3/2)*d*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(3*a/b),1],
[(a+b*arcsinh(c*x))^(3/2),x,5,-3/2*b*sqrt(c^2*x^2+1)*sqrt(a+b*arcsinh(c*x))/c+x*(a+b*arcsinh(c*x))^(3/2)+3/8*b^(3/2)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+3/8*b^(3/2)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b),1],
[(a+b*arcsinh(c*x))^(3/2)/(c^2*d*x^2+d),x,0,Defer(Int)((a+b*arcsinh(c*x))^(3/2)/(c^2*d*x^2+d),x),0],
[(a+b*arcsinh(c*x))^(3/2)/(c^2*d*x^2+d)^2,x,0,Defer(Int)((a+b*arcsinh(c*x))^(3/2)/(c^2*d*x^2+d)^2,x),0],
[(c^2*d*x^2+d)^3/sqrt(a+b*arcsinh(c*x)),x,10,35/128*d^3*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+7/128*d^3*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+7/128*d^3*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+1/128*d^3*exp(7*a/b)*sqrt(1/7*Pi)*erf(sqrt(7)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+35/128*d^3*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(a/b)+7/128*d^3*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(3*a/b)+7/128*d^3*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(5*a/b)+1/128*d^3*sqrt(1/7*Pi)*erfi(sqrt(7)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(7*a/b),1],
[(c^2*d*x^2+d)^2/sqrt(a+b*arcsinh(c*x)),x,8,5/16*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+5/32*d^2*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+1/32*d^2*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+5/16*d^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(a/b)+5/32*d^2*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(3*a/b)+1/32*d^2*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(5*a/b),1],
[(c^2*d*x^2+d)/sqrt(a+b*arcsinh(c*x)),x,6,3/8*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+1/8*d*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+3/8*d*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(a/b)+1/8*d*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(3*a/b),1],
[1/sqrt(a+b*arcsinh(c*x)),x,3,1/2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+1/2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(a/b),1],
[1/(c^2*d*x^2+d)/sqrt(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(c^2*d*x^2+d)/sqrt(a+b*arcsinh(c*x)),x),0],
[1/(c^2*d*x^2+d)^2/sqrt(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(c^2*d*x^2+d)^2/sqrt(a+b*arcsinh(c*x)),x),0],
[(c^2*d*x^2+d)^3/(a+b*arcsinh(c*x))^(3/2),x,11,-2*d^3*(c^2*x^2+1)^(7/2)/b/c/sqrt(a+b*arcsinh(c*x))-35/64*d^3*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c-21/64*d^3*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c-7/64*d^3*exp(5*a/b)*sqrt(5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c-1/64*d^3*exp(7*a/b)*sqrt(7*Pi)*erf(sqrt(7)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c+35/64*d^3*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(a/b)+21/64*d^3*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(3*a/b)+7/64*d^3*sqrt(5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(5*a/b)+1/64*d^3*sqrt(7*Pi)*erfi(sqrt(7)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(7*a/b),1],
[(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x,9,-2*d^2*(c^2*x^2+1)^(5/2)/b/c/sqrt(a+b*arcsinh(c*x))-5/8*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(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*arcsinh(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*arcsinh(c*x))/sqrt(b))/b^(3/2)/c+5/8*d^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(a/b)+5/16*d^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(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*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(5*a/b),1],
[(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x,7,-2*d*(c^2*x^2+1)^(3/2)/b/c/sqrt(a+b*arcsinh(c*x))-3/4*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c-1/4*d*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c+3/4*d*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(a/b)+1/4*d*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(3*a/b),1],
[1/(a+b*arcsinh(c*x))^(3/2),x,5,-2*sqrt(c^2*x^2+1)/b/c/sqrt(a+b*arcsinh(c*x))-exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c+sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(a/b),1],
[1/(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)(1/(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x),0],
[1/(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)(1/(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x),0],
[(c^2*d*x^2+d)^(5/2)*sqrt(a+b*arcsinh(c*x)),x,23,5/16*d^2*x*sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))+5/24*d*x*(c^2*d*x^2+d)^(3/2)*sqrt(a+b*arcsinh(c*x))+1/6*x*(c^2*d*x^2+d)^(5/2)*sqrt(a+b*arcsinh(c*x))+5/24*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(3/2)/b/c/sqrt(c^2*x^2+1)+3/512*sqrt(b)*d^2*exp(4*a/b)*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erf(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/sqrt(c^2*x^2+1)+15/256*sqrt(b)*d^2*exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/sqrt(c^2*x^2+1)+1/768*sqrt(b)*d^2*exp(6*a/b)*sqrt(1/6*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/sqrt(c^2*x^2+1)-3/512*sqrt(b)*d^2*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erfi(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(4*a/b)/sqrt(c^2*x^2+1)-15/256*sqrt(b)*d^2*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(2*a/b)/sqrt(c^2*x^2+1)-1/768*sqrt(b)*d^2*sqrt(1/6*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(6*a/b)/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)*sqrt(a+b*arcsinh(c*x)),x,14,3/8*d*x*sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))+1/4*x*(c^2*d*x^2+d)^(3/2)*sqrt(a+b*arcsinh(c*x))+1/4*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(3/2)/b/c/sqrt(c^2*x^2+1)+1/256*sqrt(b)*d*exp(4*a/b)*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erf(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/sqrt(c^2*x^2+1)+1/16*sqrt(b)*d*exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/sqrt(c^2*x^2+1)-1/256*sqrt(b)*d*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erfi(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(4*a/b)/sqrt(c^2*x^2+1)-1/16*sqrt(b)*d*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(2*a/b)/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x)),x,7,1/2*x*sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))+1/3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(3/2)/b/c/sqrt(c^2*x^2+1)+1/16*sqrt(b)*exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/sqrt(c^2*x^2+1)-1/16*sqrt(b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(2*a/b)/sqrt(c^2*x^2+1),1],
[sqrt(a+b*arcsinh(c*x))/sqrt(c^2*d*x^2+d),x,2,2/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^(3/2)/b/c/sqrt(c^2*d*x^2+d),1],
[sqrt(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x,0,Defer(Int)(sqrt(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x),0],
[sqrt(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x,0,Defer(Int)(sqrt(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x),0],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^(3/2),x,23,-27/256*b*d*sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-9/32*b*c*d*x^2*sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+3/8*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(3/2)+1/4*x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^(3/2)+3/20*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(5/2)/b/c/sqrt(c^2*x^2+1)-3/32*b*d*sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))*cosh(a/b-(a+b*arcsinh(c*x))/b)^4/c/sqrt(c^2*x^2+1)+3/2048*b^(3/2)*d*exp(4*a/b)*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erf(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/sqrt(c^2*x^2+1)+3/64*b^(3/2)*d*exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/sqrt(c^2*x^2+1)+3/2048*b^(3/2)*d*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erfi(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(4*a/b)/sqrt(c^2*x^2+1)+3/64*b^(3/2)*d*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(2*a/b)/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(3/2),x,8,-3/16*b*sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-3/8*b*c*x^2*sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(3/2)+1/5*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(5/2)/b/c/sqrt(c^2*x^2+1)+3/64*b^(3/2)*exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/sqrt(c^2*x^2+1)+3/64*b^(3/2)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(2*a/b)/sqrt(c^2*x^2+1),1],
[(a+b*arcsinh(c*x))^(3/2)/sqrt(c^2*d*x^2+d),x,2,2/5*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^(5/2)/b/c/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^(3/2)/(c^2*d*x^2+d)^(3/2),x,0,Defer(Int)((a+b*arcsinh(c*x))^(3/2)/(c^2*d*x^2+d)^(3/2),x),0],
[(a+b*arcsinh(c*x))^(3/2)/(c^2*d*x^2+d)^(5/2),x,0,Defer(Int)((a+b*arcsinh(c*x))^(3/2)/(c^2*d*x^2+d)^(5/2),x),0],
[(a^2*c*x^2+c)^(3/2)*arcsinh(a*x)^(5/2),x,27,225/512*c*x*sqrt(a^2*c*x^2+c)*sqrt(arcsinh(a*x))+15/256*c*x*(a^2*x^2+1)*sqrt(a^2*c*x^2+c)*sqrt(arcsinh(a*x))-45/256*c*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^(3/2)/a/sqrt(a^2*x^2+1)-15/32*a*c*x^2*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^(3/2)/sqrt(a^2*x^2+1)-5/32*c*(a^2*x^2+1)^(3/2)*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^(3/2)/a+3/8*c*x*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^(5/2)+1/4*x*(a^2*c*x^2+c)^(3/2)*arcsinh(a*x)^(5/2)+3/28*c*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^(7/2)/a/sqrt(a^2*x^2+1)+15/16384*c*sqrt(Pi)*sqrt(a^2*c*x^2+c)*erf(2*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1)+15/256*c*sqrt(1/2*Pi)*sqrt(a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1)-15/16384*c*sqrt(Pi)*sqrt(a^2*c*x^2+c)*erfi(2*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1)-15/256*c*sqrt(1/2*Pi)*sqrt(a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1),1],
[sqrt(a^2*c*x^2+c)*arcsinh(a*x)^(5/2),x,10,15/32*x*sqrt(a^2*c*x^2+c)*sqrt(arcsinh(a*x))-5/16*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^(3/2)/a/sqrt(a^2*x^2+1)-5/8*a*x^2*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^(3/2)/sqrt(a^2*x^2+1)+1/2*x*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^(5/2)+1/7*sqrt(a^2*c*x^2+c)*arcsinh(a*x)^(7/2)/a/sqrt(a^2*x^2+1)+15/256*sqrt(1/2*Pi)*sqrt(a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1)-15/256*sqrt(1/2*Pi)*sqrt(a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1),1],
[arcsinh(a*x)^(5/2)/sqrt(a^2*c*x^2+c),x,2,2/7*sqrt(a^2*x^2+1)*arcsinh(a*x)^(7/2)/a/sqrt(a^2*c*x^2+c),1],
[arcsinh(a*x)^(5/2)/(a^2*c*x^2+c)^(3/2),x,0,Defer(Int)(arcsinh(a*x)^(5/2)/(a^2*c*x^2+c)^(3/2),x),0],
[arcsinh(a*x)^(5/2)/(a^2*c*x^2+c)^(5/2),x,0,Defer(Int)(arcsinh(a*x)^(5/2)/(a^2*c*x^2+c)^(5/2),x),0],
[(a^2+x^2)^(3/2)*sqrt(arcsinh(x/a)),x,14,3/8*a^2*x*sqrt(a^2+x^2)*sqrt(arcsinh(x/a))+1/4*x*(a^2+x^2)^(3/2)*sqrt(arcsinh(x/a))+1/4*a^3*sqrt(a^2+x^2)*arcsinh(x/a)^(3/2)/sqrt(1+x^2/a^2)+1/256*a^3*sqrt(Pi)*sqrt(a^2+x^2)*erf(2*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2)+1/16*a^3*sqrt(1/2*Pi)*sqrt(a^2+x^2)*erf(sqrt(2)*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2)-1/256*a^3*sqrt(Pi)*sqrt(a^2+x^2)*erfi(2*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2)-1/16*a^3*sqrt(1/2*Pi)*sqrt(a^2+x^2)*erfi(sqrt(2)*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2),1],
[sqrt(a^2+x^2)*sqrt(arcsinh(x/a)),x,7,1/2*x*sqrt(a^2+x^2)*sqrt(arcsinh(x/a))+1/3*a*sqrt(a^2+x^2)*arcsinh(x/a)^(3/2)/sqrt(1+x^2/a^2)+1/16*a*sqrt(1/2*Pi)*sqrt(a^2+x^2)*erf(sqrt(2)*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2)-1/16*a*sqrt(1/2*Pi)*sqrt(a^2+x^2)*erfi(sqrt(2)*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2),1],
[sqrt(arcsinh(x/a))/sqrt(a^2+x^2),x,2,2/3*a*sqrt(1+x^2/a^2)*arcsinh(x/a)^(3/2)/sqrt(a^2+x^2),1],
[sqrt(arcsinh(x/a))/(a^2+x^2)^(3/2),x,0,Defer(Int)(sqrt(arcsinh(x/a))/(a^2+x^2)^(3/2),x),0],
[sqrt(arcsinh(x/a))/(a^2+x^2)^(5/2),x,0,Defer(Int)(sqrt(arcsinh(x/a))/(a^2+x^2)^(5/2),x),0],
[(a^2+x^2)^(3/2)*arcsinh(x/a)^(3/2),x,23,-27/256*a^3*sqrt(a^2+x^2)*sqrt(arcsinh(x/a))/sqrt(1+x^2/a^2)-9/32*a*x^2*sqrt(a^2+x^2)*sqrt(arcsinh(x/a))/sqrt(1+x^2/a^2)-3/32*(a^2+x^2)^(5/2)*sqrt(arcsinh(x/a))/a/sqrt(1+x^2/a^2)+3/8*a^2*x*sqrt(a^2+x^2)*arcsinh(x/a)^(3/2)+1/4*x*(a^2+x^2)^(3/2)*arcsinh(x/a)^(3/2)+3/20*a^3*sqrt(a^2+x^2)*arcsinh(x/a)^(5/2)/sqrt(1+x^2/a^2)+3/2048*a^3*sqrt(Pi)*sqrt(a^2+x^2)*erf(2*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2)+3/64*a^3*sqrt(1/2*Pi)*sqrt(a^2+x^2)*erf(sqrt(2)*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2)+3/2048*a^3*sqrt(Pi)*sqrt(a^2+x^2)*erfi(2*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2)+3/64*a^3*sqrt(1/2*Pi)*sqrt(a^2+x^2)*erfi(sqrt(2)*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2),1],
[sqrt(a^2+x^2)*arcsinh(x/a)^(3/2),x,8,-3/16*a*sqrt(a^2+x^2)*sqrt(arcsinh(x/a))/sqrt(1+x^2/a^2)-3/8*x^2*sqrt(a^2+x^2)*sqrt(arcsinh(x/a))/a/sqrt(1+x^2/a^2)+1/2*x*sqrt(a^2+x^2)*arcsinh(x/a)^(3/2)+1/5*a*sqrt(a^2+x^2)*arcsinh(x/a)^(5/2)/sqrt(1+x^2/a^2)+3/64*a*sqrt(1/2*Pi)*sqrt(a^2+x^2)*erf(sqrt(2)*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2)+3/64*a*sqrt(1/2*Pi)*sqrt(a^2+x^2)*erfi(sqrt(2)*sqrt(arcsinh(x/a)))/sqrt(1+x^2/a^2),1],
[arcsinh(x/a)^(3/2)/sqrt(a^2+x^2),x,2,2/5*a*sqrt(1+x^2/a^2)*arcsinh(x/a)^(5/2)/sqrt(a^2+x^2),1],
[arcsinh(x/a)^(3/2)/(a^2+x^2)^(3/2),x,0,Defer(Int)(arcsinh(x/a)^(3/2)/(a^2+x^2)^(3/2),x),0],
[arcsinh(x/a)^(3/2)/(a^2+x^2)^(5/2),x,0,Defer(Int)(arcsinh(x/a)^(3/2)/(a^2+x^2)^(5/2),x),0],
[(c^2*d*x^2+d)^(5/2)/sqrt(a+b*arcsinh(c*x)),x,9,5/8*d^2*sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))/b/c/sqrt(c^2*x^2+1)+3/64*d^2*exp(4*a/b)*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erf(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/sqrt(c^2*x^2+1)+15/64*d^2*exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/sqrt(c^2*x^2+1)+1/64*d^2*exp(6*a/b)*sqrt(1/6*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/sqrt(c^2*x^2+1)+3/64*d^2*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erfi(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(4*a/b)/sqrt(c^2*x^2+1)+15/64*d^2*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(2*a/b)/sqrt(c^2*x^2+1)+1/64*d^2*sqrt(1/6*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(6*a/b)/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)/sqrt(a+b*arcsinh(c*x)),x,7,3/4*d*sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))/b/c/sqrt(c^2*x^2+1)+1/32*d*exp(4*a/b)*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erf(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/sqrt(c^2*x^2+1)+1/4*d*exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/sqrt(c^2*x^2+1)+1/32*d*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erfi(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(4*a/b)/sqrt(c^2*x^2+1)+1/4*d*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(2*a/b)/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)/sqrt(a+b*arcsinh(c*x)),x,5,sqrt(c^2*d*x^2+d)*sqrt(a+b*arcsinh(c*x))/b/c/sqrt(c^2*x^2+1)+1/4*exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/sqrt(c^2*x^2+1)+1/4*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(2*a/b)/sqrt(c^2*x^2+1),1],
[1/sqrt(c^2*d*x^2+d)/sqrt(a+b*arcsinh(c*x)),x,2,2*sqrt(c^2*x^2+1)*sqrt(a+b*arcsinh(c*x))/b/c/sqrt(c^2*d*x^2+d),1],
[1/(c^2*d*x^2+d)^(3/2)/sqrt(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(c^2*d*x^2+d)^(3/2)/sqrt(a+b*arcsinh(c*x)),x),0],
[1/(c^2*d*x^2+d)^(5/2)/sqrt(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(c^2*d*x^2+d)^(5/2)/sqrt(a+b*arcsinh(c*x)),x),0],
[(c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x))^(3/2),x,10,-2*d^2*(c^2*x^2+1)^(5/2)*sqrt(c^2*d*x^2+d)/b/c/sqrt(a+b*arcsinh(c*x))-3/8*d^2*exp(4*a/b)*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erf(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/sqrt(c^2*x^2+1)-15/16*d^2*exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/sqrt(c^2*x^2+1)-1/16*d^2*exp(6*a/b)*sqrt(3/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/sqrt(c^2*x^2+1)+3/8*d^2*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erfi(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(4*a/b)/sqrt(c^2*x^2+1)+15/16*d^2*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(2*a/b)/sqrt(c^2*x^2+1)+1/16*d^2*sqrt(3/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(6*a/b)/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x))^(3/2),x,8,-2*d*(c^2*x^2+1)^(3/2)*sqrt(c^2*d*x^2+d)/b/c/sqrt(a+b*arcsinh(c*x))-1/4*d*exp(4*a/b)*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erf(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/sqrt(c^2*x^2+1)-d*exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/sqrt(c^2*x^2+1)+1/4*d*sqrt(Pi)*sqrt(c^2*d*x^2+d)*erfi(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(4*a/b)/sqrt(c^2*x^2+1)+d*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(2*a/b)/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x,6,-2*sqrt(c^2*x^2+1)*sqrt(c^2*d*x^2+d)/b/c/sqrt(a+b*arcsinh(c*x))-exp(2*a/b)*sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/sqrt(c^2*x^2+1)+sqrt(1/2*Pi)*sqrt(c^2*d*x^2+d)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(2*a/b)/sqrt(c^2*x^2+1),1],
[1/sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x,2,-2*sqrt(c^2*x^2+1)/b/c/sqrt(c^2*d*x^2+d)/sqrt(a+b*arcsinh(c*x)),1],
[1/(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)(1/(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x))^(3/2),x),0],
[1/(c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)(1/(c^2*d*x^2+d)^(5/2)/(a+b*arcsinh(c*x))^(3/2),x),0],
[(a^2*c*x^2+c)^(3/2)/arcsinh(a*x)^(5/2),x,11,-2/3*c*(a^2*x^2+1)^(3/2)*sqrt(a^2*c*x^2+c)/a/arcsinh(a*x)^(3/2)-16/3*x*(a^2*c*x^2+c)^(3/2)/sqrt(arcsinh(a*x))+2/3*c*sqrt(Pi)*sqrt(a^2*c*x^2+c)*erf(2*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1)+2/3*c*sqrt(2*Pi)*sqrt(a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1)+2/3*c*sqrt(Pi)*sqrt(a^2*c*x^2+c)*erfi(2*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1)+2/3*c*sqrt(2*Pi)*sqrt(a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1),1],
[sqrt(a^2*c*x^2+c)/arcsinh(a*x)^(5/2),x,8,-2/3*sqrt(a^2*x^2+1)*sqrt(a^2*c*x^2+c)/a/arcsinh(a*x)^(3/2)-8/3*x*sqrt(a^2*c*x^2+c)/sqrt(arcsinh(a*x))+2/3*sqrt(2*Pi)*sqrt(a^2*c*x^2+c)*erf(sqrt(2)*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1)+2/3*sqrt(2*Pi)*sqrt(a^2*c*x^2+c)*erfi(sqrt(2)*sqrt(arcsinh(a*x)))/a/sqrt(a^2*x^2+1),1],
[1/sqrt(a^2*c*x^2+c)/arcsinh(a*x)^(5/2),x,2,-2/3*sqrt(a^2*x^2+1)/a/sqrt(a^2*c*x^2+c)/arcsinh(a*x)^(3/2),1],
[1/(a^2*c*x^2+c)^(3/2)/arcsinh(a*x)^(5/2),x,0,Defer(Int)(1/(a^2*c*x^2+c)^(3/2)/arcsinh(a*x)^(5/2),x),0],
[1/(a^2*c*x^2+c)^(5/2)/arcsinh(a*x)^(5/2),x,0,Defer(Int)(1/(a^2*c*x^2+c)^(5/2)/arcsinh(a*x)^(5/2),x),0],
[(e*x^2+d)^3*(a+b*arcsinh(c*x)),x,5,-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^2*x^2+1)/c^7-1/105*b*e*(35*c^4*d^2-42*c^2*d*e+15*e^2)*(c^2*x^2+1)^(3/2)/c^7-3/175*b*(7*c^2*d-5*e)*e^2*(c^2*x^2+1)^(5/2)/c^7-1/49*b*e^3*(c^2*x^2+1)^(7/2)/c^7+d^3*x*(a+b*arcsinh(c*x))+d^2*e*x^3*(a+b*arcsinh(c*x))+3/5*d*e^2*x^5*(a+b*arcsinh(c*x))+1/7*e^3*x^7*(a+b*arcsinh(c*x)),1],
[(e*x^2+d)^2*(a+b*arcsinh(c*x)),x,5,-1/15*b*(15*c^4*d^2-10*c^2*d*e+3*e^2)*sqrt(c^2*x^2+1)/c^5-2/45*b*(5*c^2*d-3*e)*e*(c^2*x^2+1)^(3/2)/c^5-1/25*b*e^2*(c^2*x^2+1)^(5/2)/c^5+d^2*x*(a+b*arcsinh(c*x))+2/3*d*e*x^3*(a+b*arcsinh(c*x))+1/5*e^2*x^5*(a+b*arcsinh(c*x)),1],
[(e*x^2+d)*(a+b*arcsinh(c*x)),x,4,-1/3*b*(3*c^2*d-e)*sqrt(c^2*x^2+1)/c^3-1/9*b*e*(c^2*x^2+1)^(3/2)/c^3+d*x*(a+b*arcsinh(c*x))+1/3*e*x^3*(a+b*arcsinh(c*x)),1],
[a+b*arcsinh(c*x),x,3,a*x-b*sqrt(c^2*x^2+1)/c+b*x*arcsinh(c*x),1],
[(a+b*arcsinh(c*x))/(e*x^2+d),x,18,1/2*(a+b*arcsinh(c*x))*ln(1-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arcsinh(c*x))*ln(1+sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*(a+b*arcsinh(c*x))*ln(1-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arcsinh(c*x))*ln(1+sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*b*polylog(2,-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*b*polylog(2,sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*b*polylog(2,-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*b*polylog(2,sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e),1],
[(a+b*arcsinh(c*x))/(e*x^2+d)^2,x,26,-1/4*(a+b*arcsinh(c*x))/d/sqrt(e)/(sqrt(-d)-sqrt(e)*x)+1/4*(a+b*arcsinh(c*x))/d/sqrt(e)/(sqrt(-d)+sqrt(e)*x)-1/4*b*c*arctan((sqrt(e)-c^2*sqrt(-d)*x)/sqrt(c^2*d-e)/sqrt(c^2*x^2+1))/d/sqrt(c^2*d-e)/sqrt(e)-1/4*b*c*arctan((sqrt(e)+c^2*sqrt(-d)*x)/sqrt(c^2*d-e)/sqrt(c^2*x^2+1))/d/sqrt(c^2*d-e)/sqrt(e)-1/4*(a+b*arcsinh(c*x))*ln(1-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)+1/4*(a+b*arcsinh(c*x))*ln(1+sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)-1/4*(a+b*arcsinh(c*x))*ln(1-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)+1/4*(a+b*arcsinh(c*x))*ln(1+sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)+1/4*b*polylog(2,-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)-1/4*b*polylog(2,sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)+1/4*b*polylog(2,-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e)-1/4*b*polylog(2,sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/(-d)^(3/2)/sqrt(e),1],
[(e*x^2+d)^3*(a+b*arcsinh(c*x))^2,x,26,2*b^2*d^3*x-4/3*b^2*d^2*e*x/c^2+16/25*b^2*d*e^2*x/c^4-32/245*b^2*e^3*x/c^6+2/9*b^2*d^2*e*x^3-8/75*b^2*d*e^2*x^3/c^2+16/735*b^2*e^3*x^3/c^4+6/125*b^2*d*e^2*x^5-12/1225*b^2*e^3*x^5/c^2+2/343*b^2*e^3*x^7-2*b*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+4/3*b*d^2*e*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-16/25*b*d*e^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5+32/245*b*e^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^7-2/3*b*d^2*e*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+8/25*b*d*e^2*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-16/245*b*e^3*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5-6/25*b*d*e^2*x^4*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+12/245*b*e^3*x^4*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-2/49*b*e^3*x^6*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+d^3*x*(a+b*arcsinh(c*x))^2+d^2*e*x^3*(a+b*arcsinh(c*x))^2+3/5*d*e^2*x^5*(a+b*arcsinh(c*x))^2+1/7*e^3*x^7*(a+b*arcsinh(c*x))^2,1],
[(e*x^2+d)^2*(a+b*arcsinh(c*x))^2,x,17,2*b^2*d^2*x-8/9*b^2*d*e*x/c^2+16/75*b^2*e^2*x/c^4+4/27*b^2*d*e*x^3-8/225*b^2*e^2*x^3/c^2+2/125*b^2*e^2*x^5-2*b*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+8/9*b*d*e*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-16/75*b*e^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5-4/9*b*d*e*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+8/75*b*e^2*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-2/25*b*e^2*x^4*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+d^2*x*(a+b*arcsinh(c*x))^2+2/3*d*e*x^3*(a+b*arcsinh(c*x))^2+1/5*e^2*x^5*(a+b*arcsinh(c*x))^2,1],
[(e*x^2+d)*(a+b*arcsinh(c*x))^2,x,10,2*b^2*d*x-4/9*b^2*e*x/c^2+2/27*b^2*e*x^3-2*b*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+4/9*b*e*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-2/9*b*e*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+d*x*(a+b*arcsinh(c*x))^2+1/3*e*x^3*(a+b*arcsinh(c*x))^2,1],
[(a+b*arcsinh(c*x))^2,x,3,2*b^2*x-2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+x*(a+b*arcsinh(c*x))^2,1],
[(a+b*arcsinh(c*x))^2/(e*x^2+d),x,22,1/2*(a+b*arcsinh(c*x))^2*ln(1-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arcsinh(c*x))^2*ln(1+sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*(a+b*arcsinh(c*x))^2*ln(1-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arcsinh(c*x))^2*ln(1+sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-b*(a+b*arcsinh(c*x))*polylog(2,-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+b*(a+b*arcsinh(c*x))*polylog(2,sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-b*(a+b*arcsinh(c*x))*polylog(2,-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+b*(a+b*arcsinh(c*x))*polylog(2,sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+b^2*polylog(3,-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-b^2*polylog(3,sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)-sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)+b^2*polylog(3,-sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e)-b^2*polylog(3,sqrt(e)*exp(arcsinh(c*x))/(c*sqrt(-d)+sqrt(-c^2*d+e)))/sqrt(-d)/sqrt(e),1],
[(e*x^2+d)^2/(a+b*arcsinh(c*x)),x,27,d^2*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b/c-1/2*d*e*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b/c^3+1/8*e^2*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b/c^5+1/2*d*e*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b/c^3-3/16*e^2*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b/c^5+1/16*e^2*cosh(5*a/b)*Chi(5*(a+b*arcsinh(c*x))/b)/b/c^5-d^2*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c+1/2*d*e*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^3-1/8*e^2*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^5-1/2*d*e*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^3+3/16*e^2*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^5-1/16*e^2*sinh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b/c^5,1],
[(e*x^2+d)/(a+b*arcsinh(c*x)),x,15,d*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b/c-1/4*e*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b/c^3+1/4*e*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b/c^3-d*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c+1/4*e*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^3-1/4*e*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^3,1],
[1/(a+b*arcsinh(c*x)),x,4,cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b/c-sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c,1],
[1/(e*x^2+d)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)/(a+b*arcsinh(c*x)),x),0],
[1/(e*x^2+d)^2/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*arcsinh(c*x)),x),0],
[(e*x^2+d)^2/(a+b*arcsinh(c*x))^2,x,26,-d^2*sqrt(c^2*x^2+1)/b/c/(a+b*arcsinh(c*x))-2*d*e*x^2*sqrt(c^2*x^2+1)/b/c/(a+b*arcsinh(c*x))-e^2*x^4*sqrt(c^2*x^2+1)/b/c/(a+b*arcsinh(c*x))-d^2*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b^2/c+1/2*d*e*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b^2/c^3-1/8*e^2*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b^2/c^5-3/2*d*e*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b^2/c^3+9/16*e^2*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b^2/c^5-5/16*e^2*Chi(5*(a+b*arcsinh(c*x))/b)*sinh(5*a/b)/b^2/c^5+d^2*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c-1/2*d*e*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^3+1/8*e^2*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^5+3/2*d*e*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^3-9/16*e^2*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^5+5/16*e^2*cosh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b^2/c^5,1],
[(e*x^2+d)/(a+b*arcsinh(c*x))^2,x,15,-d*sqrt(c^2*x^2+1)/b/c/(a+b*arcsinh(c*x))-e*x^2*sqrt(c^2*x^2+1)/b/c/(a+b*arcsinh(c*x))-d*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b^2/c+1/4*e*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b^2/c^3-3/4*e*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b^2/c^3+d*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c-1/4*e*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^3+3/4*e*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^3,1],
[1/(a+b*arcsinh(c*x))^2,x,5,-sqrt(c^2*x^2+1)/b/c/(a+b*arcsinh(c*x))-Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b^2/c+cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c,1],
[1/(e*x^2+d)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)/(a+b*arcsinh(c*x))^2,x),0],
[1/(e*x^2+d)^2/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*arcsinh(c*x))^2,x),0],
[sqrt(e*x^2+d)*(a+b*arcsinh(c*x)),x,0,Defer(Int)(sqrt(e*x^2+d)*(a+b*arcsinh(c*x)),x),0],
[(a+b*arcsinh(c*x))/sqrt(e*x^2+d),x,0,Defer(Int)((a+b*arcsinh(c*x))/sqrt(e*x^2+d),x),0],
[(a+b*arcsinh(c*x))/(e*x^2+d)^(3/2),x,5,x*(a+b*arcsinh(c*x))/d/sqrt(e*x^2+d)-b*arctanh(sqrt(e)*sqrt(c^2*x^2+1)/c/sqrt(e*x^2+d))/d/sqrt(e),1],
[(a+b*arcsinh(c*x))/(e*x^2+d)^(5/2),x,6,-1/3*b*c*sqrt(c^2*x^2+1)/d/(c^2*d-e)/sqrt(e*x^2+d)+1/3*x*(a+b*arcsinh(c*x))/d/(e*x^2+d)^(3/2)+2/3*x*(a+b*arcsinh(c*x))/d^2/sqrt(e*x^2+d)-2/3*b*arctanh(sqrt(e)*sqrt(c^2*x^2+1)/c/sqrt(e*x^2+d))/d^2/sqrt(e),1],
[(a+b*arcsinh(c*x))/(e*x^2+d)^(7/2),x,7,-1/15*b*c*sqrt(c^2*x^2+1)/d/(c^2*d-e)/(e*x^2+d)^(3/2)-2/15*b*c*(3*c^2*d-2*e)*sqrt(c^2*x^2+1)/d^2/(c^2*d-e)^2/sqrt(e*x^2+d)+1/5*x*(a+b*arcsinh(c*x))/d/(e*x^2+d)^(5/2)+4/15*x*(a+b*arcsinh(c*x))/d^2/(e*x^2+d)^(3/2)+8/15*x*(a+b*arcsinh(c*x))/d^3/sqrt(e*x^2+d)-8/15*b*arctanh(sqrt(e)*sqrt(c^2*x^2+1)/c/sqrt(e*x^2+d))/d^3/sqrt(e),1],
[sqrt(e*x^2+d)*(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(sqrt(e*x^2+d)*(a+b*arcsinh(c*x))^2,x),0],
[(a+b*arcsinh(c*x))^2/sqrt(e*x^2+d),x,0,Defer(Int)((a+b*arcsinh(c*x))^2/sqrt(e*x^2+d),x),0],
[(a+b*arcsinh(c*x))^2/(e*x^2+d)^(3/2),x,0,Defer(Int)((a+b*arcsinh(c*x))^2/(e*x^2+d)^(3/2),x),0],
[(a+b*arcsinh(c*x))^2/(e*x^2+d)^(5/2),x,0,Defer(Int)((a+b*arcsinh(c*x))^2/(e*x^2+d)^(5/2),x),0],
[sqrt(e*x^2+d)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(sqrt(e*x^2+d)/(a+b*arcsinh(c*x)),x),0],
[1/sqrt(e*x^2+d)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/sqrt(e*x^2+d)/(a+b*arcsinh(c*x)),x),0],
[1/(e*x^2+d)^(3/2)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^(3/2)/(a+b*arcsinh(c*x)),x),0],
[1/(e*x^2+d)^(5/2)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^(5/2)/(a+b*arcsinh(c*x)),x),0],
[sqrt(e*x^2+d)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(sqrt(e*x^2+d)/(a+b*arcsinh(c*x))^2,x),0],
[1/sqrt(e*x^2+d)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/sqrt(e*x^2+d)/(a+b*arcsinh(c*x))^2,x),0],
[1/(e*x^2+d)^(3/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)^(3/2)/(a+b*arcsinh(c*x))^2,x),0],
[1/(e*x^2+d)^(5/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)^(5/2)/(a+b*arcsinh(c*x))^2,x),0],
[(e*x^2+d)^2*sqrt(a+b*arcsinh(c*x)),x,23,d^2*x*sqrt(a+b*arcsinh(c*x))+2/3*d*e*x^3*sqrt(a+b*arcsinh(c*x))+1/5*e^2*x^5*sqrt(a+b*arcsinh(c*x))+1/4*sqrt(b)*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c-1/8*sqrt(b)*d*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3+1/32*sqrt(b)*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^5+1/24*sqrt(b)*d*e*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3-1/64*sqrt(b)*e^2*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^5+1/320*sqrt(b)*e^2*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^5-1/4*sqrt(b)*d^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b)+1/8*sqrt(b)*d*e*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3/exp(a/b)-1/32*sqrt(b)*e^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^5/exp(a/b)-1/24*sqrt(b)*d*e*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3/exp(3*a/b)+1/64*sqrt(b)*e^2*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^5/exp(3*a/b)-1/320*sqrt(b)*e^2*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^5/exp(5*a/b),1],
[(e*x^2+d)*sqrt(a+b*arcsinh(c*x)),x,14,d*x*sqrt(a+b*arcsinh(c*x))+1/3*e*x^3*sqrt(a+b*arcsinh(c*x))+1/4*sqrt(b)*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c-1/16*sqrt(b)*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3+1/48*sqrt(b)*e*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3-1/4*sqrt(b)*d*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b)+1/16*sqrt(b)*e*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3/exp(a/b)-1/48*sqrt(b)*e*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3/exp(3*a/b),1],
[sqrt(a+b*arcsinh(c*x)),x,5,x*sqrt(a+b*arcsinh(c*x))+1/4*sqrt(b)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c-1/4*sqrt(b)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b),1],
[sqrt(a+b*arcsinh(c*x))/(e*x^2+d),x,0,Defer(Int)(sqrt(a+b*arcsinh(c*x))/(e*x^2+d),x),0],
[sqrt(a+b*arcsinh(c*x))/(e*x^2+d)^2,x,0,Defer(Int)(sqrt(a+b*arcsinh(c*x))/(e*x^2+d)^2,x),0],
[(e*x^2+d)*(a+b*arcsinh(c*x))^(3/2),x,19,-3/2*b*d*sqrt(c^2*x^2+1)*sqrt(a+b*arcsinh(c*x))/c+1/3*b*e*sqrt(c^2*x^2+1)*sqrt(a+b*arcsinh(c*x))/c^3-1/6*b*e*x^2*sqrt(c^2*x^2+1)*sqrt(a+b*arcsinh(c*x))/c+d*x*(a+b*arcsinh(c*x))^(3/2)+1/3*e*x^3*(a+b*arcsinh(c*x))^(3/2)+3/8*b^(3/2)*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c-3/32*b^(3/2)*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3+1/96*b^(3/2)*e*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3+3/8*b^(3/2)*d*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b)-3/32*b^(3/2)*e*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3/exp(a/b)+1/96*b^(3/2)*e*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/c^3/exp(3*a/b),1],
[(a+b*arcsinh(c*x))^(3/2),x,5,-3/2*b*sqrt(c^2*x^2+1)*sqrt(a+b*arcsinh(c*x))/c+x*(a+b*arcsinh(c*x))^(3/2)+3/8*b^(3/2)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c+3/8*b^(3/2)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/c/exp(a/b),1],
[(a+b*arcsinh(c*x))^(3/2)/(e*x^2+d),x,0,Defer(Int)((a+b*arcsinh(c*x))^(3/2)/(e*x^2+d),x),0],
[(a+b*arcsinh(c*x))^(3/2)/(e*x^2+d)^2,x,0,Defer(Int)((a+b*arcsinh(c*x))^(3/2)/(e*x^2+d)^2,x),0],
[(e*x^2+d)^2/sqrt(a+b*arcsinh(c*x)),x,19,1/2*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c-1/4*d*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^3+1/16*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^5+1/4*d*e*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^3-1/32*e^2*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^5+1/32*e^2*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^5+1/2*d^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(a/b)-1/4*d*e*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^3/exp(a/b)+1/16*e^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^5/exp(a/b)+1/4*d*e*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^3/exp(3*a/b)-1/32*e^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^5/exp(3*a/b)+1/32*e^2*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^5/exp(5*a/b),1],
[(e*x^2+d)/sqrt(a+b*arcsinh(c*x)),x,11,1/2*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c-1/8*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^3+1/8*e*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^3+1/2*d*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(a/b)-1/8*e*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^3/exp(a/b)+1/8*e*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c^3/exp(3*a/b),1],
[1/sqrt(a+b*arcsinh(c*x)),x,3,1/2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c+1/2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/sqrt(b)/c/exp(a/b),1],
[1/(e*x^2+d)/sqrt(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)/sqrt(a+b*arcsinh(c*x)),x),0],
[1/(e*x^2+d)^2/sqrt(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^2/sqrt(a+b*arcsinh(c*x)),x),0],
[(e*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x,19,-2*d*sqrt(c^2*x^2+1)/b/c/sqrt(a+b*arcsinh(c*x))-2*e*x^2*sqrt(c^2*x^2+1)/b/c/sqrt(a+b*arcsinh(c*x))-d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c+1/4*e*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3-1/4*e*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3+d*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(a/b)-1/4*e*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(a/b)+1/4*e*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(3*a/b),1],
[1/(a+b*arcsinh(c*x))^(3/2),x,5,-2*sqrt(c^2*x^2+1)/b/c/sqrt(a+b*arcsinh(c*x))-exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c+sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c/exp(a/b),1],
[1/(e*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)(1/(e*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x),0],
[1/(e*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x),0],
[(d+I*c*d*x)^(5/2)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x)),x,13,-2/3*I*b*d^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-3/16*b*c*d^2*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-2/9*I*b*c^2*d^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+1/16*b*c^3*d^2*x^4*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+3/8*d^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))-1/4*c^2*d^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))+2/3*I*d^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+5/16*d^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[(d+I*c*d*x)^(3/2)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x)),x,8,-1/3*I*b*d*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-1/4*b*c*d*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-1/9*I*b*c^2*d*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+1/2*d*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))+1/3*I*d*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+1/4*d*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x)),x,4,-1/4*b*c*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+1/2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))+1/4*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x),x,6,I*b*f*x*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-I*f*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/2*f*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2),x,8,2*I*f^2*(1-I*c*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-1/2*f^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^2/b/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-2*b*f^2*(c^2*x^2+1)^(3/2)*ln(I-c*x)/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),1],
[sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2),x,6,2/3*I*b*f*sqrt(c^2*x^2+1)/c/d^2/(I-c*x)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*I*f*(1-I*c*x)^3*(a+b*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+1/3*b*f*sqrt(c^2*x^2+1)*ln(I-c*x)/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(5/2)*(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x)),x,11,-1/5*I*b*d^2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-3/16*b*c*d^2*f*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-2/15*I*b*c^2*d^2*f*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-1/25*I*b*c^4*d^2*f*x^5*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-1/16*b*d^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^(3/2)/c+3/8*d^2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))+1/4*d^2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))+1/5*I*d^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))/c+3/16*d^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[(d+I*c*d*x)^(3/2)*(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x)),x,6,-3/16*b*c*d*f*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-1/16*b*d*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^(3/2)/c+3/8*d*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))+1/4*d*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))+3/16*d*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[sqrt(d+I*c*d*x)*(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x)),x,8,1/3*I*b*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-1/4*b*c*f*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+1/9*I*b*c^2*f*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+1/2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))-1/3*I*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+1/4*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x),x,9,2*I*b*f^2*x*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/4*b*c*f^2*x^2*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2*I*f^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/2*f^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+3/4*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2),x,10,-I*b*f^2*x*sqrt(c^2*x^2+1)/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4*I*f^2*(1-I*c*x)*(a+b*arcsinh(c*x))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+I*f^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-3/2*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4*b*f^2*sqrt(c^2*x^2+1)*ln(I-c*x)/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2),x,9,4/3*I*b*f^2*sqrt(c^2*x^2+1)/c/d^2/(I-c*x)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/2*b*f^2*sqrt(c^2*x^2+1)*arcsinh(c*x)^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2*I*f^2*(1-I*c*x)*(a+b*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2/3*I*f^2*(1-I*c*x)^3*(a+b*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+f^2*sqrt(c^2*x^2+1)*arcsinh(c*x)*(a+b*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8/3*b*f^2*sqrt(c^2*x^2+1)*ln(I-c*x)/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(5/2)*(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x)),x,8,-5/32*b*c*d^2*f^2*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-5/96*b*d^2*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^(3/2)/c-1/36*b*d^2*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^(5/2)/c+5/16*d^2*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))+5/24*d^2*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))+1/6*d^2*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))+5/32*d^2*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[(d+I*c*d*x)^(3/2)*(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x)),x,11,1/5*I*b*d*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-3/16*b*c*d*f^2*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+2/15*I*b*c^2*d*f^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+1/25*I*b*c^4*d*f^2*x^5*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-1/16*b*d*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^(3/2)/c+3/8*d*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))+1/4*d*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))-1/5*I*d*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))/c+3/16*d*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[sqrt(d+I*c*d*x)*(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x)),x,13,2/3*I*b*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-3/16*b*c*f^2*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+2/9*I*b*c^2*f^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+1/16*b*c^3*f^2*x^4*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+3/8*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))-1/4*c^2*f^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))-2/3*I*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+5/16*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/b/c/sqrt(c^2*x^2+1),1],
[(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x),x,13,11/3*I*b*f^3*x*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+3/4*b*c*f^3*x^2*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/9*I*b*c^2*f^3*x^3*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-11/3*I*f^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-3/2*f^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*I*c*f^3*x^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+5/4*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2),x,6,-4*I*b*f^3*x*sqrt(c^2*x^2+1)/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/4*b*c*f^3*x^2*sqrt(c^2*x^2+1)/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+15/4*b*f^3*sqrt(c^2*x^2+1)*arcsinh(c*x)^2/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8*I*f^3*(1-I*c*x)*(a+b*arcsinh(c*x))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4*I*f^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/2*f^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-15/2*f^3*sqrt(c^2*x^2+1)*arcsinh(c*x)*(a+b*arcsinh(c*x))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*b*f^3*sqrt(c^2*x^2+1)*ln(I-c*x)/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2),x,9,I*b*f^3*x*sqrt(c^2*x^2+1)/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8/3*I*b*f^3*sqrt(c^2*x^2+1)/c/d^2/(I-c*x)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-5/2*b*f^3*sqrt(c^2*x^2+1)*arcsinh(c*x)^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-20/3*I*f^3*(1-I*c*x)*(a+b*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2/3*I*f^3*(1-I*c*x)^4*(a+b*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)-5/3*I*f^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+5*f^3*sqrt(c^2*x^2+1)*arcsinh(c*x)*(a+b*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+28/3*b*f^3*sqrt(c^2*x^2+1)*ln(I-c*x)/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))/sqrt(f-I*c*f*x),x,13,-11/3*I*b*d^3*x*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+3/4*b*c*d^3*x^2*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/9*I*b*c^2*d^3*x^3*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+11/3*I*d^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-3/2*d^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*I*c*d^3*x^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+5/4*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))/sqrt(f-I*c*f*x),x,9,-2*I*b*d^2*x*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/4*b*c*d^2*x^2*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2*I*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/2*d^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+3/4*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[sqrt(d+I*c*d*x)*(a+b*arcsinh(c*x))/sqrt(f-I*c*f*x),x,6,-I*b*d*x*sqrt(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+I*d*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/2*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),x,2,1/2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2)/sqrt(f-I*c*f*x),x,5,f*(I+c*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-b*f*(c^2*x^2+1)^(3/2)*ln(I-c*x)/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),1],
[(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/sqrt(f-I*c*f*x),x,8,1/3*I*b*f^2*(c^2*x^2+1)^(5/2)/c/(I-c*x)/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+2/3*I*f^2*(1-I*c*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*f^2*x*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-1/3*I*b*f^2*(c^2*x^2+1)^(5/2)*arctan(c*x)/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-1/6*b*f^2*(c^2*x^2+1)^(5/2)*ln(c^2*x^2+1)/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2),1],
[(d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(3/2),x,6,4*I*b*d^3*x*sqrt(c^2*x^2+1)/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/4*b*c*d^3*x^2*sqrt(c^2*x^2+1)/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+15/4*b*d^3*sqrt(c^2*x^2+1)*arcsinh(c*x)^2/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*I*d^3*(1+I*c*x)*(a+b*arcsinh(c*x))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4*I*d^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/2*d^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-15/2*d^3*sqrt(c^2*x^2+1)*arcsinh(c*x)*(a+b*arcsinh(c*x))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*b*d^3*sqrt(c^2*x^2+1)*ln(I+c*x)/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(3/2),x,10,I*b*d^2*x*sqrt(c^2*x^2+1)/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4*I*d^2*(1+I*c*x)*(a+b*arcsinh(c*x))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-I*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-3/2*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4*b*d^2*sqrt(c^2*x^2+1)*ln(I+c*x)/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[sqrt(d+I*c*d*x)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(3/2),x,8,-2*I*d^2*(1+I*c*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-1/2*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^2/b/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-2*b*d^2*(c^2*x^2+1)^(3/2)*ln(I+c*x)/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),1],
[(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/(f-I*c*f*x)^(3/2),x,5,-d*(I-c*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-b*d*(c^2*x^2+1)^(3/2)*ln(I+c*x)/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),1],
[(a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),x,3,x*(c^2*x^2+1)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-1/2*b*(c^2*x^2+1)^(3/2)*ln(c^2*x^2+1)/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),1],
[(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(3/2),x,8,1/6*I*b*sqrt(c^2*x^2+1)/c/d^2/f/(I-c*x)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2/3*x*(a+b*arcsinh(c*x))/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*(I+c*x)*(a+b*arcsinh(c*x))/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)-1/6*I*b*sqrt(c^2*x^2+1)*arctan(c*x)/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(5/2),x,9,-I*b*d^3*x*sqrt(c^2*x^2+1)/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8/3*I*b*d^3*sqrt(c^2*x^2+1)/c/f^2/(I+c*x)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-5/2*b*d^3*sqrt(c^2*x^2+1)*arcsinh(c*x)^2/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+20/3*I*d^3*(1+I*c*x)*(a+b*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2/3*I*d^3*(1+I*c*x)^4*(a+b*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+5/3*I*d^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+5*d^3*sqrt(c^2*x^2+1)*arcsinh(c*x)*(a+b*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+28/3*b*d^3*sqrt(c^2*x^2+1)*ln(I+c*x)/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(5/2),x,9,4/3*I*b*d^2*sqrt(c^2*x^2+1)/c/f^2/(I+c*x)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/2*b*d^2*sqrt(c^2*x^2+1)*arcsinh(c*x)^2/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2*I*d^2*(1+I*c*x)*(a+b*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2/3*I*d^2*(1+I*c*x)^3*(a+b*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+d^2*sqrt(c^2*x^2+1)*arcsinh(c*x)*(a+b*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8/3*b*d^2*sqrt(c^2*x^2+1)*ln(I+c*x)/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[sqrt(d+I*c*d*x)*(a+b*arcsinh(c*x))/(f-I*c*f*x)^(5/2),x,6,2/3*I*b*d*sqrt(c^2*x^2+1)/c/f^2/(I+c*x)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*I*d*(1+I*c*x)^3*(a+b*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+1/3*b*d*sqrt(c^2*x^2+1)*ln(I+c*x)/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/(f-I*c*f*x)^(5/2),x,8,1/3*I*b*d^2*(c^2*x^2+1)^(5/2)/c/(I+c*x)/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-2/3*I*d^2*(1+I*c*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*d^2*x*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*I*b*d^2*(c^2*x^2+1)^(5/2)*arctan(c*x)/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-1/6*b*d^2*(c^2*x^2+1)^(5/2)*ln(c^2*x^2+1)/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2),1],
[(a+b*arcsinh(c*x))/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(5/2),x,8,1/6*I*b*sqrt(c^2*x^2+1)/c/d/f^2/(I+c*x)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2/3*x*(a+b*arcsinh(c*x))/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*(I-c*x)*(a+b*arcsinh(c*x))/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+1/6*I*b*sqrt(c^2*x^2+1)*arctan(c*x)/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2),x,5,1/6*b/c/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+2/3*x*(a+b*arcsinh(c*x))/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*x*(a+b*arcsinh(c*x))/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)-1/3*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(5/2)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2,x,23,8/9*I*b^2*d^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/c+15/64*b^2*d^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)-1/32*b^2*c^2*d^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)+4/27*I*b^2*d^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)/c-15/64*b^2*d^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)-4/3*I*b*d^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-3/8*b*c*d^2*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-4/9*I*b*c^2*d^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/8*b*c^3*d^2*x^4*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+3/8*d^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2-1/4*c^2*d^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2+2/3*I*d^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c+5/24*d^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[(d+I*c*d*x)^(3/2)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2,x,13,4/9*I*b^2*d*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/c+1/4*b^2*d*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)+2/27*I*b^2*d*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)/c-1/4*b^2*d*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)-2/3*I*b*d*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-1/2*b*c*d*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/9*I*b*c^2*d*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/2*d*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2+1/3*I*d*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c+1/6*d*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2,x,6,1/4*b^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)-1/4*b^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)-1/2*b*c*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2+1/6*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x),x,5,-2*I*b^2*f*(c^2*x^2+1)/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2*I*b*f*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-I*f*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*f*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2),x,15,2*I*f^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+2*f^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+2*f^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-1/3*f^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^3/b/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-8*I*b*f^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-4*b*f^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-4*b^2*f^2*(c^2*x^2+1)^(3/2)*polylog(2,-I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+4*b^2*f^2*(c^2*x^2+1)^(3/2)*polylog(2,I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-2*b^2*f^2*(c^2*x^2+1)^(3/2)*polylog(2,-exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),1],
[sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2),x,20,-1/3*f*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4/3*I*b^2*f*sqrt(c^2*x^2+1)*cot(1/4*Pi+1/2*I*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*I*f*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*cot(1/4*Pi+1/2*I*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2/3*b*f*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*csc(1/4*Pi+1/2*I*arcsinh(c*x))^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*I*f*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*cot(1/4*Pi+1/2*I*arcsinh(c*x))*csc(1/4*Pi+1/2*I*arcsinh(c*x))^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4/3*b*f*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+I*exp(arcsinh(c*x)))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4/3*b^2*f*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(5/2)*(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2,x,19,16/75*I*b^2*d^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/c+15/64*b^2*d^2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)+8/225*I*b^2*d^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)/c+1/32*b^2*d^2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)+2/125*I*b^2*d^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^2/c-9/64*b^2*d^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)-2/5*I*b*d^2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-3/8*b*c*d^2*f*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-4/15*I*b*c^2*d^2*f*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/25*I*b*c^4*d^2*f*x^5*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-1/8*b*d^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c+3/8*d^2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2+1/4*d^2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+1/5*I*d^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/c+1/8*d^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[(d+I*c*d*x)^(3/2)*(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2,x,11,15/64*b^2*d*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)+1/32*b^2*d*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)-9/64*b^2*d*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)-3/8*b*c*d*f*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-1/8*b*d*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c+3/8*d*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2+1/4*d*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+1/8*d*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[sqrt(d+I*c*d*x)*(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2,x,13,-4/9*I*b^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/c+1/4*b^2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)-2/27*I*b^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)/c-1/4*b^2*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)+2/3*I*b*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-1/2*b*c*f*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+2/9*I*b*c^2*f*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/2*f*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2-1/3*I*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c+1/6*f*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x),x,11,-4*I*b^2*f^2*(c^2*x^2+1)/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/4*b^2*f^2*x*(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/4*b^2*f^2*sqrt(c^2*x^2+1)*arcsinh(c*x)/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4*I*b*f^2*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/2*b*c*f^2*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2*I*f^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/2*f^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/2*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2),x,16,2*I*b^2*f^2*(c^2*x^2+1)/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2*I*b*f^2*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4*I*f^2*(a+b*arcsinh(c*x))^2/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4*f^2*x*(a+b*arcsinh(c*x))^2/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+I*f^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-16*I*b*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*b*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*b^2*f^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8*b^2*f^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4*b^2*f^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(f-I*c*f*x)^(3/2)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2),x,21,-8/3*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8/3*I*b^2*f^2*sqrt(c^2*x^2+1)*cot(1/4*Pi+1/2*I*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8/3*I*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*cot(1/4*Pi+1/2*I*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4/3*b*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*csc(1/4*Pi+1/2*I*arcsinh(c*x))^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2/3*I*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*cot(1/4*Pi+1/2*I*arcsinh(c*x))*csc(1/4*Pi+1/2*I*arcsinh(c*x))^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+32/3*b*f^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+I*exp(arcsinh(c*x)))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+32/3*b^2*f^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(5/2)*(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2,x,17,245/1152*b^2*d^2*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)+65/1728*b^2*d^2*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)+1/108*b^2*d^2*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^2-115/1152*b^2*d^2*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)-5/16*b*c*d^2*f^2*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-5/48*b*d^2*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c-1/18*b*d^2*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c+5/16*d^2*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2+5/24*d^2*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+1/6*d^2*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2+5/48*d^2*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[(d+I*c*d*x)^(3/2)*(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2,x,19,-16/75*I*b^2*d*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/c+15/64*b^2*d*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)-8/225*I*b^2*d*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)/c+1/32*b^2*d*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)-2/125*I*b^2*d*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^2/c-9/64*b^2*d*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)+2/5*I*b*d*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-3/8*b*c*d*f^2*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+4/15*I*b*c^2*d*f^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+2/25*I*b*c^4*d*f^2*x^5*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-1/8*b*d*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c+3/8*d*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2+1/4*d*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2-1/5*I*d*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/c+1/8*d*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[sqrt(d+I*c*d*x)*(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2,x,23,-8/9*I*b^2*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)/c+15/64*b^2*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)-1/32*b^2*c^2*f^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)-4/27*I*b^2*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)/c-15/64*b^2*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)+4/3*I*b*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-3/8*b*c*f^2*x^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+4/9*I*b*c^2*f^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/8*b*c^3*f^2*x^4*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+3/8*f^2*x*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2-1/4*c^2*f^2*x^3*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^2-2/3*I*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c+5/24*f^2*sqrt(d+I*c*d*x)*sqrt(f-I*c*f*x)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x),x,17,-68/9*I*b^2*f^3*(c^2*x^2+1)/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-3/4*b^2*f^3*x*(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2/27*I*b^2*f^3*(c^2*x^2+1)^2/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+3/4*b^2*f^3*sqrt(c^2*x^2+1)*arcsinh(c*x)/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+22/3*I*b*f^3*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+3/2*b*c*f^3*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2/9*I*b*c^2*f^3*x^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-11/3*I*f^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-3/2*f^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*I*c*f^3*x^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+5/6*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2),x,21,4*I*f^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/4*b^2*f^3*x*(c^2*x^2+1)/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/4*b^2*f^3*sqrt(c^2*x^2+1)*arcsinh(c*x)/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-32*I*b*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/2*b*c*f^3*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8*I*b^2*f^3*(c^2*x^2+1)/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8*f^3*x*(a+b*arcsinh(c*x))^2/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8*I*f^3*(a+b*arcsinh(c*x))^2/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/2*f^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-5/2*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*I*b*f^3*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-16*b*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-16*b^2*f^3*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+16*b^2*f^3*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*b^2*f^3*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c/d/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(f-I*c*f*x)^(5/2)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2),x,22,-2*I*b^2*f^3*(c^2*x^2+1)/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2*I*b*f^3*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-28/3*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-I*f^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+5/3*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-16/3*I*b^2*f^3*sqrt(c^2*x^2+1)*cot(1/4*Pi+1/2*I*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-28/3*I*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*cot(1/4*Pi+1/2*I*arcsinh(c*x))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8/3*b*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*csc(1/4*Pi+1/2*I*arcsinh(c*x))^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4/3*I*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*cot(1/4*Pi+1/2*I*arcsinh(c*x))*csc(1/4*Pi+1/2*I*arcsinh(c*x))^2/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+112/3*b*f^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+I*exp(arcsinh(c*x)))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+112/3*b^2*f^3*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c/d^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))^2/sqrt(f-I*c*f*x),x,17,68/9*I*b^2*d^3*(c^2*x^2+1)/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-3/4*b^2*d^3*x*(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2/27*I*b^2*d^3*(c^2*x^2+1)^2/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+3/4*b^2*d^3*sqrt(c^2*x^2+1)*arcsinh(c*x)/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-22/3*I*b*d^3*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+3/2*b*c*d^3*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2/9*I*b*c^2*d^3*x^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+11/3*I*d^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-3/2*d^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*I*c*d^3*x^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+5/6*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))^2/sqrt(f-I*c*f*x),x,11,4*I*b^2*d^2*(c^2*x^2+1)/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/4*b^2*d^2*x*(c^2*x^2+1)/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/4*b^2*d^2*sqrt(c^2*x^2+1)*arcsinh(c*x)/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4*I*b*d^2*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/2*b*c*d^2*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2*I*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/2*d^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/2*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[sqrt(d+I*c*d*x)*(a+b*arcsinh(c*x))^2/sqrt(f-I*c*f*x),x,5,2*I*b^2*d*(c^2*x^2+1)/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2*I*b*d*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+I*d*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),x,2,1/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2)/sqrt(f-I*c*f*x),x,12,I*f*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+f*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+f*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-4*I*b*f*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-2*b*f*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-2*b^2*f*(c^2*x^2+1)^(3/2)*polylog(2,-I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+2*b^2*f*(c^2*x^2+1)^(3/2)*polylog(2,I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-b^2*f*(c^2*x^2+1)^(3/2)*polylog(2,-exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),1],
[(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/sqrt(f-I*c*f*x),x,24,-2/3*I*b*f^2*x*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-2/3*b^2*f^2*x*(c^2*x^2+1)^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*b^2*f^2*(c^2*x^2+1)^(5/2)*arcsinh(c*x)/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*b*f^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+2/3*I*f^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-1/3*b*c*f^2*x^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-4/3*I*b*f^2*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*f^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-1/3*c^2*f^2*x^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+2/3*f^2*x*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*f^2*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-2/3*I*b^2*f^2*(c^2*x^2+1)^2/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-2/3*b*f^2*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-2/3*b^2*f^2*(c^2*x^2+1)^(5/2)*polylog(2,-I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+2/3*b^2*f^2*(c^2*x^2+1)^(5/2)*polylog(2,I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-1/3*b^2*f^2*(c^2*x^2+1)^(5/2)*polylog(2,-exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2),1],
[(d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(3/2),x,21,-8*I*d^3*(a+b*arcsinh(c*x))^2/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/4*b^2*d^3*x*(c^2*x^2+1)/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/4*b^2*d^3*sqrt(c^2*x^2+1)*arcsinh(c*x)/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+32*I*b*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/2*b*c*d^3*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*I*b^2*d^3*(c^2*x^2+1)/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8*d^3*x*(a+b*arcsinh(c*x))^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8*I*b*d^3*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/2*d^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-5/2*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4*I*d^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-16*b*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+16*b^2*d^3*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-16*b^2*d^3*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*b^2*d^3*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(3/2),x,16,-2*I*b^2*d^2*(c^2*x^2+1)/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2*I*b*d^2*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4*I*d^2*(a+b*arcsinh(c*x))^2/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4*d^2*x*(a+b*arcsinh(c*x))^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-I*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+16*I*b*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*b*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8*b^2*d^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-8*b^2*d^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4*b^2*d^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[sqrt(d+I*c*d*x)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(3/2),x,15,-2*I*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+2*d^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+2*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-1/3*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^3/b/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+8*I*b*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-4*b*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+4*b^2*d^2*(c^2*x^2+1)^(3/2)*polylog(2,-I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-4*b^2*d^2*(c^2*x^2+1)^(3/2)*polylog(2,I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-2*b^2*d^2*(c^2*x^2+1)^(3/2)*polylog(2,-exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),1],
[(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x)/(f-I*c*f*x)^(3/2),x,12,-I*d*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+d*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+d*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+4*I*b*d*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-2*b*d*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)+2*b^2*d*(c^2*x^2+1)^(3/2)*polylog(2,-I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-2*b^2*d*(c^2*x^2+1)^(3/2)*polylog(2,I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2)-b^2*d*(c^2*x^2+1)^(3/2)*polylog(2,-exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),1],
[(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(3/2),x,5,x*(a+b*arcsinh(c*x))^2/d/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/d/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-b^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c/d/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(3/2),x,17,-1/3*I*b^2/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*b^2*x/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*b*(a+b*arcsinh(c*x))/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)-1/3*I*b*x*(a+b*arcsinh(c*x))/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+2/3*x*(a+b*arcsinh(c*x))^2/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*I*(a+b*arcsinh(c*x))^2/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+1/3*x*(a+b*arcsinh(c*x))^2/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+2/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2/3*I*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4/3*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*b^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*b^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2/3*b^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c/d^2/f/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(5/2)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(5/2),x,22,2*I*b^2*d^3*(c^2*x^2+1)/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2*I*b*d^3*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+28/3*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+I*d^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+5/3*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+112/3*b*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+I/exp(arcsinh(c*x)))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-112/3*b^2*d^3*sqrt(c^2*x^2+1)*polylog(2,-I/exp(arcsinh(c*x)))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8/3*b*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*sec(1/4*Pi+1/2*I*arcsinh(c*x))^2/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+16/3*I*b^2*d^3*sqrt(c^2*x^2+1)*tan(1/4*Pi+1/2*I*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+28/3*I*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*tan(1/4*Pi+1/2*I*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4/3*I*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*sec(1/4*Pi+1/2*I*arcsinh(c*x))^2*tan(1/4*Pi+1/2*I*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(d+I*c*d*x)^(3/2)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(5/2),x,21,8/3*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+32/3*b*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+I/exp(arcsinh(c*x)))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-32/3*b^2*d^2*sqrt(c^2*x^2+1)*polylog(2,-I/exp(arcsinh(c*x)))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4/3*b*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*sec(1/4*Pi+1/2*I*arcsinh(c*x))^2/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8/3*I*b^2*d^2*sqrt(c^2*x^2+1)*tan(1/4*Pi+1/2*I*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+8/3*I*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*tan(1/4*Pi+1/2*I*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2/3*I*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*sec(1/4*Pi+1/2*I*arcsinh(c*x))^2*tan(1/4*Pi+1/2*I*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[sqrt(d+I*c*d*x)*(a+b*arcsinh(c*x))^2/(f-I*c*f*x)^(5/2),x,20,1/3*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4/3*b*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+I/exp(arcsinh(c*x)))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4/3*b^2*d*sqrt(c^2*x^2+1)*polylog(2,-I/exp(arcsinh(c*x)))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2/3*b*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*sec(1/4*Pi+1/2*I*arcsinh(c*x))^2/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+4/3*I*b^2*d*sqrt(c^2*x^2+1)*tan(1/4*Pi+1/2*I*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*I*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*tan(1/4*Pi+1/2*I*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*I*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*sec(1/4*Pi+1/2*I*arcsinh(c*x))^2*tan(1/4*Pi+1/2*I*arcsinh(c*x))/c/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(a+b*arcsinh(c*x))^2/sqrt(d+I*c*d*x)/(f-I*c*f*x)^(5/2),x,24,2/3*I*b^2*d^2*(c^2*x^2+1)^2/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-2/3*b^2*d^2*x*(c^2*x^2+1)^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*b^2*d^2*(c^2*x^2+1)^(5/2)*arcsinh(c*x)/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*b*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+2/3*I*b*d^2*x*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-1/3*b*c*d^2*x^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+4/3*I*b*d^2*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*d^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-1/3*c^2*d^2*x^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+2/3*d^2*x*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+1/3*d^2*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-2/3*I*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-2/3*b*d^2*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)+2/3*b^2*d^2*(c^2*x^2+1)^(5/2)*polylog(2,-I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-2/3*b^2*d^2*(c^2*x^2+1)^(5/2)*polylog(2,I*exp(arcsinh(c*x)))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2)-1/3*b^2*d^2*(c^2*x^2+1)^(5/2)*polylog(2,-exp(2*arcsinh(c*x)))/c/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2),1],
[(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(3/2)/(f-I*c*f*x)^(5/2),x,17,1/3*I*b^2/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*b^2*x/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*b*(a+b*arcsinh(c*x))/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+1/3*I*b*x*(a+b*arcsinh(c*x))/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+2/3*x*(a+b*arcsinh(c*x))^2/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*I*(a+b*arcsinh(c*x))^2/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+1/3*x*(a+b*arcsinh(c*x))^2/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+2/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+2/3*I*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4/3*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*b^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-1/3*b^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2/3*b^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c/d/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1],
[(a+b*arcsinh(c*x))^2/(d+I*c*d*x)^(5/2)/(f-I*c*f*x)^(5/2),x,8,-1/3*b^2*x/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*b*(a+b*arcsinh(c*x))/c/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/sqrt(c^2*x^2+1)+2/3*x*(a+b*arcsinh(c*x))^2/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)+1/3*x*(a+b*arcsinh(c*x))^2/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)/(c^2*x^2+1)+2/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-4/3*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x)-2/3*b^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c/d^2/f^2/sqrt(d+I*c*d*x)/sqrt(f-I*c*f*x),1]]: