lst:=[[(e*x+d)^3*arccosh(c*x),x,6,-1/96*(76*c^3*d^3+26*c^2*d^2*e+64*c*d*e^2+9*e^3)*sqrt(c*x-1)*sqrt(c*x+1)/c^4-1/96*e*(26*c^2*d^2+9*e^2)*(c*x-1)^(3/2)*sqrt(c*x+1)/c^4-7/48*d*sqrt(c*x-1)*sqrt(c*x+1)*(e*x+d)^2/c-1/16*sqrt(c*x-1)*sqrt(c*x+1)*(e*x+d)^3/c-1/32*(8*c^4*d^4+24*c^2*d^2*e^2+3*e^4)*arccosh(c*x)/c^4/e+1/4*(e*x+d)^4*arccosh(c*x)/e,1],
[(e*x+d)^2*arccosh(c*x),x,5,-1/18*(16*c^2*d^2+5*c*d*e+4*e^2)*sqrt(c*x-1)*sqrt(c*x+1)/c^3-5/18*d*e*(c*x-1)^(3/2)*sqrt(c*x+1)/c^2-1/9*sqrt(c*x-1)*sqrt(c*x+1)*(e*x+d)^2/c-1/6*d*(2*d^2/e+3*e/c^2)*arccosh(c*x)+1/3*(e*x+d)^3*arccosh(c*x)/e,1],
[(e*x+d)*arccosh(c*x),x,4,-3/4*d*sqrt(c*x-1)*sqrt(c*x+1)/c-1/4*sqrt(c*x-1)*sqrt(c*x+1)*(e*x+d)/c-1/4*(2*d^2/e+e/c^2)*arccosh(c*x)+1/2*(e*x+d)^2*arccosh(c*x)/e,1],
[arccosh(c*x)/(e*x+d),x,8,-1/2*arccosh(c*x)^2/e+arccosh(c*x)*ln(1+e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+arccosh(c*x)*ln(1+e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e+polylog(2,-e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+polylog(2,-e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e,1],
[arccosh(c*x)/(e*x+d)^2,x,3,-arccosh(c*x)/e/(e*x+d)+2*c*arctanh(sqrt(c*d+e)*sqrt(c*x+1)/sqrt(c*d-e)/sqrt(c*x-1))/sqrt(c*d-e)/e/sqrt(c*d+e),1],
[arccosh(c*x)/(e*x+d)^3,x,4,-1/2*c*sqrt(c*x-1)*sqrt(c*x+1)/(c^2*d^2-e^2)/(e*x+d)-1/2*arccosh(c*x)/e/(e*x+d)^2+c^3*d*arctanh(sqrt(c*d+e)*sqrt(c*x+1)/sqrt(c*d-e)/sqrt(c*x-1))/(c*d-e)^(3/2)/e/(c*d+e)^(3/2),1],
[arccosh(c*x)/(e*x+d)^4,x,6,-1/6*c*sqrt(c*x-1)*sqrt(c*x+1)/(c^2*d^2-e^2)/(e*x+d)^2-1/2*c^3*d*sqrt(c*x-1)*sqrt(c*x+1)/(c*d-e)^2/(c*d+e)^2/(e*x+d)-1/3*arccosh(c*x)/e/(e*x+d)^3+1/3*c^3*(2*c^2*d^2+e^2)*arctanh(sqrt(c*d+e)*sqrt(c*x+1)/sqrt(c*d-e)/sqrt(c*x-1))/(c*d-e)^(5/2)/e/(c*d+e)^(5/2),1],
[(e*x+d)^3*arccosh(c*x)^2,x,18,2*d^3*x+4/3*d*e^2*x/c^2+3/4*d^2*e*x^2+3/32*e^3*x^2/c^2+2/9*d*e^2*x^3+1/32*e^3*x^4-2*d^3*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c-4/3*d*e^2*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c^3-3/2*d^2*e*x*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c-3/16*e^3*x*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c^3-2/3*d*e^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c-1/8*e^3*x^3*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c-1/4*d^4*arccosh(c*x)^2/e-3/4*d^2*e*arccosh(c*x)^2/c^2-3/32*e^3*arccosh(c*x)^2/c^4+1/4*(e*x+d)^4*arccosh(c*x)^2/e,1],
[(e*x+d)^2*arccosh(c*x)^2,x,13,2*d^2*x+4/9*e^2*x/c^2+1/2*d*e*x^2+2/27*e^2*x^3-2*d^2*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c-4/9*e^2*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c^3-d*e*x*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c-2/9*e^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c-1/3*d^3*arccosh(c*x)^2/e-1/2*d*e*arccosh(c*x)^2/c^2+1/3*(e*x+d)^3*arccosh(c*x)^2/e,1],
[(e*x+d)*arccosh(c*x)^2,x,9,2*d*x+1/4*e*x^2-2*d*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c-1/2*e*x*sqrt(c*x-1)*sqrt(c*x+1)*arccosh(c*x)/c-1/2*d^2*arccosh(c*x)^2/e-1/4*e*arccosh(c*x)^2/c^2+1/2*(e*x+d)^2*arccosh(c*x)^2/e,1],
[arccosh(c*x)^2/(e*x+d),x,10,-1/3*arccosh(c*x)^3/e+arccosh(c*x)^2*ln(1+e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+arccosh(c*x)^2*ln(1+e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e+2*arccosh(c*x)*polylog(2,-e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+2*arccosh(c*x)*polylog(2,-e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e-2*polylog(3,-e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e-2*polylog(3,-e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e,1],
[arccosh(c*x)^2/(e*x+d)^2,x,10,-arccosh(c*x)^2/e/(e*x+d)+2*c*arccosh(c*x)*ln(1+e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2)-2*c*arccosh(c*x)*ln(1+e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2)+2*c*polylog(2,-e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2)-2*c*polylog(2,-e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2),1],
[arccosh(c*x)^2/(e*x+d)^3,x,13,-c*sqrt(-(-c*x+1)/(c*x+1))*(c*x+1)*arccosh(c*x)/(c^2*d^2-e^2)/(e*x+d)-1/2*arccosh(c*x)^2/e/(e*x+d)^2+c^3*d*arccosh(c*x)*ln(1+e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2)-c^3*d*arccosh(c*x)*ln(1+e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2)+c^2*ln(e*x+d)/e/(c^2*d^2-e^2)+c^3*d*polylog(2,-e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2)-c^3*d*polylog(2,-e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2),1],
[(e*x+d)^3*(a+b*arccosh(c*x)),x,6,-1/96*b*(76*c^3*d^3+26*c^2*d^2*e+64*c*d*e^2+9*e^3)*sqrt(c*x-1)*sqrt(c*x+1)/c^4-1/96*b*e*(26*c^2*d^2+9*e^2)*(c*x-1)^(3/2)*sqrt(c*x+1)/c^4-7/48*b*d*sqrt(c*x-1)*sqrt(c*x+1)*(e*x+d)^2/c-1/16*b*sqrt(c*x-1)*sqrt(c*x+1)*(e*x+d)^3/c-1/32*b*(8*c^4*d^4+24*c^2*d^2*e^2+3*e^4)*arccosh(c*x)/c^4/e+1/4*(e*x+d)^4*(a+b*arccosh(c*x))/e,1],
[(e*x+d)^2*(a+b*arccosh(c*x)),x,5,-1/18*b*(16*c^2*d^2+5*c*d*e+4*e^2)*sqrt(c*x-1)*sqrt(c*x+1)/c^3-5/18*b*d*e*(c*x-1)^(3/2)*sqrt(c*x+1)/c^2-1/9*b*sqrt(c*x-1)*sqrt(c*x+1)*(e*x+d)^2/c-1/6*b*d*(2*d^2+3*e^2/c^2)*arccosh(c*x)/e+1/3*(e*x+d)^3*(a+b*arccosh(c*x))/e,1],
[(e*x+d)*(a+b*arccosh(c*x)),x,4,-3/4*b*d*sqrt(c*x-1)*sqrt(c*x+1)/c-1/4*b*sqrt(c*x-1)*sqrt(c*x+1)*(e*x+d)/c-1/4*b*(2*d^2+e^2/c^2)*arccosh(c*x)/e+1/2*(e*x+d)^2*(a+b*arccosh(c*x))/e,1],
[(a+b*arccosh(c*x))/(e*x+d),x,8,-1/2*(a+b*arccosh(c*x))^2/b/e+(a+b*arccosh(c*x))*ln(1+e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+(a+b*arccosh(c*x))*ln(1+e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e+b*polylog(2,-e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+b*polylog(2,-e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e,1],
[(a+b*arccosh(c*x))/(e*x+d)^2,x,3,-(a+b*arccosh(c*x))/e/(e*x+d)+2*b*c*arctanh(sqrt(c*d+e)*sqrt(c*x+1)/sqrt(c*d-e)/sqrt(c*x-1))/sqrt(c*d-e)/e/sqrt(c*d+e),1],
[(a+b*arccosh(c*x))/(e*x+d)^3,x,4,-1/2*b*c*sqrt(c*x-1)*sqrt(c*x+1)/(c^2*d^2-e^2)/(e*x+d)-1/2*(a+b*arccosh(c*x))/e/(e*x+d)^2+b*c^3*d*arctanh(sqrt(c*d+e)*sqrt(c*x+1)/sqrt(c*d-e)/sqrt(c*x-1))/(c*d-e)^(3/2)/e/(c*d+e)^(3/2),1],
[(a+b*arccosh(c*x))/(e*x+d)^4,x,6,-1/6*b*c*sqrt(c*x-1)*sqrt(c*x+1)/(c^2*d^2-e^2)/(e*x+d)^2-1/2*b*c^3*d*sqrt(c*x-1)*sqrt(c*x+1)/(c*d-e)^2/(c*d+e)^2/(e*x+d)-1/3*(a+b*arccosh(c*x))/e/(e*x+d)^3+1/3*b*c^3*(2*c^2*d^2+e^2)*arctanh(sqrt(c*d+e)*sqrt(c*x+1)/sqrt(c*d-e)/sqrt(c*x-1))/(c*d-e)^(5/2)/e/(c*d+e)^(5/2),1],
[(e*x+d)^3*(a+b*arccosh(c*x))^2,x,18,2*b^2*d^3*x+4/3*b^2*d*e^2*x/c^2+3/4*b^2*d^2*e*x^2+3/32*b^2*e^3*x^2/c^2+2/9*b^2*d*e^2*x^3+1/32*b^2*e^3*x^4-2*b*d^3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-4/3*b*d*e^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3-3/2*b*d^2*e*x*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-3/16*b*e^3*x*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3-2/3*b*d*e^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-1/8*b*e^3*x^3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-1/4*d^4*(a+b*arccosh(c*x))^2/e-3/4*d^2*e*(a+b*arccosh(c*x))^2/c^2-3/32*e^3*(a+b*arccosh(c*x))^2/c^4+1/4*(e*x+d)^4*(a+b*arccosh(c*x))^2/e,1],
[(e*x+d)^2*(a+b*arccosh(c*x))^2,x,13,2*b^2*d^2*x+4/9*b^2*e^2*x/c^2+1/2*b^2*d*e*x^2+2/27*b^2*e^2*x^3-2*b*d^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-4/9*b*e^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c^3-b*d*e*x*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-2/9*b*e^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-1/3*d^3*(a+b*arccosh(c*x))^2/e-1/2*d*e*(a+b*arccosh(c*x))^2/c^2+1/3*(e*x+d)^3*(a+b*arccosh(c*x))^2/e,1],
[(e*x+d)*(a+b*arccosh(c*x))^2,x,9,2*b^2*d*x+1/4*b^2*e*x^2-2*b*d*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-1/2*b*e*x*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))/c-1/2*d^2*(a+b*arccosh(c*x))^2/e-1/4*e*(a+b*arccosh(c*x))^2/c^2+1/2*(e*x+d)^2*(a+b*arccosh(c*x))^2/e,1],
[(a+b*arccosh(c*x))^2/(e*x+d),x,10,-1/3*(a+b*arccosh(c*x))^3/b/e+(a+b*arccosh(c*x))^2*ln(1+e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+(a+b*arccosh(c*x))^2*ln(1+e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e+2*b*(a+b*arccosh(c*x))*polylog(2,-e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+2*b*(a+b*arccosh(c*x))*polylog(2,-e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e-2*b^2*polylog(3,-e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e-2*b^2*polylog(3,-e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e,1],
[(a+b*arccosh(c*x))^2/(e*x+d)^2,x,10,-(a+b*arccosh(c*x))^2/e/(e*x+d)+2*b*c*(a+b*arccosh(c*x))*ln(1+e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2)-2*b*c*(a+b*arccosh(c*x))*ln(1+e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2)+2*b^2*c*polylog(2,-e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2)-2*b^2*c*polylog(2,-e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2),1],
[(a+b*arccosh(c*x))^2/(e*x+d)^3,x,13,-b*c*sqrt(-(-c*x+1)/(c*x+1))*(c*x+1)*(a+b*arccosh(c*x))/(c^2*d^2-e^2)/(e*x+d)-1/2*(a+b*arccosh(c*x))^2/e/(e*x+d)^2+b*c^3*d*(a+b*arccosh(c*x))*ln(1+e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2)-b*c^3*d*(a+b*arccosh(c*x))*ln(1+e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2)+b^2*c^2*ln(e*x+d)/e/(c^2*d^2-e^2)+b^2*c^3*d*polylog(2,-e*exp(arccosh(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2)-b^2*c^3*d*polylog(2,-e*exp(arccosh(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2),1],
[(e*x+d)^3/(a+b*arccosh(c*x)),x,27,-d^3*Chi(a/b+arccosh(c*x))*sinh(a/b)/b/c-3/4*d*e^2*Chi(a/b+arccosh(c*x))*sinh(a/b)/b/c^3-3/2*d^2*e*Chi(2*a/b+2*arccosh(c*x))*sinh(2*a/b)/b/c^2-1/4*e^3*Chi(2*a/b+2*arccosh(c*x))*sinh(2*a/b)/b/c^4-3/4*d*e^2*Chi(3*a/b+3*arccosh(c*x))*sinh(3*a/b)/b/c^3-1/8*e^3*Chi(4*a/b+4*arccosh(c*x))*sinh(4*a/b)/b/c^4+d^3*cosh(a/b)*Shi(a/b+arccosh(c*x))/b/c+3/4*d*e^2*cosh(a/b)*Shi(a/b+arccosh(c*x))/b/c^3+3/2*d^2*e*cosh(2*a/b)*Shi(2*a/b+2*arccosh(c*x))/b/c^2+1/4*e^3*cosh(2*a/b)*Shi(2*a/b+2*arccosh(c*x))/b/c^4+3/4*d*e^2*cosh(3*a/b)*Shi(3*a/b+3*arccosh(c*x))/b/c^3+1/8*e^3*cosh(4*a/b)*Shi(4*a/b+4*arccosh(c*x))/b/c^4,1],
[(e*x+d)^2/(a+b*arccosh(c*x)),x,17,-d^2*Chi(a/b+arccosh(c*x))*sinh(a/b)/b/c-1/4*e^2*Chi(a/b+arccosh(c*x))*sinh(a/b)/b/c^3-d*e*Chi(2*a/b+2*arccosh(c*x))*sinh(2*a/b)/b/c^2-1/4*e^2*Chi(3*a/b+3*arccosh(c*x))*sinh(3*a/b)/b/c^3+d^2*cosh(a/b)*Shi(a/b+arccosh(c*x))/b/c+1/4*e^2*cosh(a/b)*Shi(a/b+arccosh(c*x))/b/c^3+d*e*cosh(2*a/b)*Shi(2*a/b+2*arccosh(c*x))/b/c^2+1/4*e^2*cosh(3*a/b)*Shi(3*a/b+3*arccosh(c*x))/b/c^3,1],
[(e*x+d)/(a+b*arccosh(c*x)),x,11,-d*Chi(a/b+arccosh(c*x))*sinh(a/b)/b/c-1/2*e*Chi(2*a/b+2*arccosh(c*x))*sinh(2*a/b)/b/c^2+d*cosh(a/b)*Shi(a/b+arccosh(c*x))/b/c+1/2*e*cosh(2*a/b)*Shi(2*a/b+2*arccosh(c*x))/b/c^2,1],
[1/(e*x+d)/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(e*x+d)/(a+b*arccosh(c*x)),x),0],
[1/(e*x+d)^2/(a+b*arccosh(c*x)),x,0,Defer(Int)(1/(e*x+d)^2/(a+b*arccosh(c*x)),x),0],
[(e*x+d)^2/(a+b*arccosh(c*x))^2,x,19,-d^2*sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))-2*d*e*x*sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))-e^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))+d^2*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c+1/4*e^2*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c^3+2*d*e*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b^2/c^2+3/4*e^2*cosh(3*a/b)*Chi(3*(a+b*arccosh(c*x))/b)/b^2/c^3-d^2*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c-1/4*e^2*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c^3-2*d*e*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c^2-3/4*e^2*sinh(3*a/b)*Shi(3*(a+b*arccosh(c*x))/b)/b^2/c^3,1],
[(e*x+d)/(a+b*arccosh(c*x))^2,x,11,-d*sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))-e*x*sqrt(c*x-1)*sqrt(c*x+1)/b/c/(a+b*arccosh(c*x))+d*cosh(a/b)*Chi((a+b*arccosh(c*x))/b)/b^2/c+e*cosh(2*a/b)*Chi(2*(a+b*arccosh(c*x))/b)/b^2/c^2-d*sinh(a/b)*Shi((a+b*arccosh(c*x))/b)/b^2/c-e*sinh(2*a/b)*Shi(2*(a+b*arccosh(c*x))/b)/b^2/c^2,1],
[1/(e*x+d)/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(e*x+d)/(a+b*arccosh(c*x))^2,x),0],
[1/(e*x+d)^2/(a+b*arccosh(c*x))^2,x,0,Defer(Int)(1/(e*x+d)^2/(a+b*arccosh(c*x))^2,x),0],
[(e*x+d)^m*(a+b*arccosh(c*x))^3,x,1,(e*x+d)^(1+m)*(a+b*arccosh(c*x))^3/e/(1+m)-3*b*c*Defer(Int)((e*x+d)^(1+m)*(a+b*arccosh(c*x))^2/sqrt(c*x-1)/sqrt(c*x+1),x)/e/(1+m),0],
[(e*x+d)^m*(a+b*arccosh(c*x))^2,x,1,(e*x+d)^(1+m)*(a+b*arccosh(c*x))^2/e/(1+m)-2*b*c*Defer(Int)((e*x+d)^(1+m)*(a+b*arccosh(c*x))/sqrt(c*x-1)/sqrt(c*x+1),x)/e/(1+m),0],
[(e*x+d)^m*(a+b*arccosh(c*x)),x,3,-sqrt(2)*b*(c*d+e)*sqrt(c*x-1)*(e*x+d)^m*AppellF1(1/2,1/2,-1-m,3/2,-1/2*c*x+1/2,e*(-c*x+1)/(c*d+e))/c/e/(1+m)/((c*(e*x+d)/(c*d+e))^m)+(e*x+d)^(1+m)*(a+b*arccosh(c*x))/e/(1+m),1],
[(e*x+d)^m/(a+b*arccosh(c*x)),x,0,Defer(Int)((e*x+d)^m/(a+b*arccosh(c*x)),x),0],
[(e*x+d)^m/(a+b*arccosh(c*x))^2,x,0,Defer(Int)((e*x+d)^m/(a+b*arccosh(c*x))^2,x),0],
[(g*x+f)^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,16,b*f^2*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)+2/15*b*g^3*x*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)-1/4*b*c*f^3*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+3/16*b*f*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/3*b*c*f^2*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/45*b*g^3*x^3*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-3/16*b*c*f*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/25*b*c*g^3*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/2*f^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-3/8*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+3/4*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-f^2*g*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-2/15*g^3*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^4-1/5*g^3*x^2*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-1/4*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1)-3/16*f*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/sqrt(c*x-1)/sqrt(c*x+1),1],
[(g*x+f)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,13,2/3*b*f*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/4*b*c*f^2*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/16*b*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-2/9*b*c*f*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/16*b*c*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/2*f^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/8*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+1/4*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-2/3*f*g*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-1/4*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1)-1/16*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/sqrt(c*x-1)/sqrt(c*x+1),1],
[(g*x+f)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),x,8,1/3*b*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/4*b*c*f*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/9*b*c*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/2*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/3*g*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-1/4*f*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/(g*x+f),x,22,a*sqrt(-c^2*d*x^2+d)/g-b*c*x*sqrt(-c^2*d*x^2+d)/g/sqrt(c*x-1)/sqrt(c*x+1)+b*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/g-1/2*c*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/g/sqrt(c*x-1)/sqrt(c*x+1)+1/2*(1-c^2*f^2/g^2)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1)/(g*x+f)+1/2*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/(g*x+f)+2*a*sqrt(c*f-g)*sqrt(c*f+g)*sqrt(-c^2*d*x^2+d)*arctanh(sqrt(c*f+g)*sqrt(c*x+1)/sqrt(c*f-g)/sqrt(c*x-1))/g^2/sqrt(c*x-1)/sqrt(c*x+1)+b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arccosh(c*x)*ln(1+exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(c*x-1)/sqrt(c*x+1)-b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arccosh(c*x)*ln(1+exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(c*x-1)/sqrt(c*x+1)+b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(c*x-1)/sqrt(c*x+1)-b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(c*x-1)/sqrt(c*x+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/(g*x+f)^2,x,35,-a*sqrt(-c^2*d*x^2+d)/g/(g*x+f)+a*c^3*f^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/g^2/(c^2*f^2-g^2)/sqrt(c*x-1)/sqrt(c*x+1)-b*sqrt(-(-c*x+1)/(c*x+1))*sqrt(c*x+1)*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/g/sqrt(c*x-1)/(g*x+f)+1/2*b*c^3*f^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)^2/g^2/(c^2*f^2-g^2)/sqrt(c*x-1)/sqrt(c*x+1)+1/2*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/(g*x+f)^2-1/2*(c^2*f*x+g)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/(c^2*f^2-g^2)/sqrt(c*x-1)/sqrt(c*x+1)/(g*x+f)^2-2*a*c^2*f*sqrt(-c^2*d*x^2+d)*arctanh(sqrt(c*f+g)*sqrt(c*x+1)/sqrt(c*f-g)/sqrt(c*x-1))/sqrt(c*f-g)/g^2/sqrt(c*f+g)/sqrt(c*x-1)/sqrt(c*x+1)-b*c^2*f*sqrt(-c^2*d*x^2+d)*arccosh(c*x)*ln(1+exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(c^2*f^2-g^2)/sqrt(c*x-1)/sqrt(c*x+1)+b*c^2*f*sqrt(-c^2*d*x^2+d)*arccosh(c*x)*ln(1+exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(c^2*f^2-g^2)/sqrt(c*x-1)/sqrt(c*x+1)+b*c*sqrt(-c^2*d*x^2+d)*ln(g*x+f)/g^2/sqrt(c*x-1)/sqrt(c*x+1)-b*c^2*f*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(c^2*f^2-g^2)/sqrt(c*x-1)/sqrt(c*x+1)+b*c^2*f*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(c^2*f^2-g^2)/sqrt(c*x-1)/sqrt(c*x+1),1],
[(g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,25,3/5*b*d*f^2*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)+2/35*b*d*g^3*x*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)-3/16*b*c*d*f^3*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+3/32*b*d*f*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-2/5*b*c*d*f^2*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/105*b*d*g^3*x^3*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-7/32*b*c*d*f*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+3/25*b*c^3*d*f^2*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-8/175*b*c*d*g^3*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/12*b*c^3*d*f*g^2*x^6*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/49*b*c^3*d*g^3*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/16*b*d*f^3*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c+3/8*d*f^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-3/16*d*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+3/8*d*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/4*d*f^3*x*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/2*d*f*g^2*x^3*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-3/5*d*f^2*g*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-2/35*d*g^3*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^4-1/7*d*g^3*x^2*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-3/16*d*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1)-3/32*d*f*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/sqrt(c*x-1)/sqrt(c*x+1),1],
[(g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,21,2/5*b*d*f*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-3/16*b*c*d*f^2*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/32*b*d*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-4/15*b*c*d*f*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-7/96*b*c*d*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+2/25*b*c^3*d*f*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/36*b*c^3*d*g^2*x^6*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/16*b*d*f^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c+3/8*d*f^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/16*d*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+1/8*d*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/4*d*f^2*x*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/6*d*g^2*x^3*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-2/5*d*f*g*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-3/16*d*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1)-1/32*d*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/sqrt(c*x-1)/sqrt(c*x+1),1],
[(g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x)),x,11,1/5*b*d*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-3/16*b*c*d*f*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-2/15*b*c*d*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/25*b*c^3*d*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/16*b*d*f*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c+3/8*d*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/4*d*f*x*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/5*d*g*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-3/16*d*f*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/(g*x+f),x,-27,-a*d*(c*f-g)*(c*f+g)*sqrt(-c^2*d*x^2+d)/g^3+b*c*d*(c*f-g)*(c*f+g)*x*sqrt(-c^2*d*x^2+d)/g^3/sqrt(c*x-1)/sqrt(c*x+1)-1/4*b*c^2*d*(c*f-g)*x^2*sqrt(-c^2*d*x^2+d)/g^2/sqrt(c*x-1)/sqrt(c*x+1)+1/6*a*d*(-2*c^2*x^2+3*c*x+2)*sqrt(-c^2*d*x^2+d)/g+1/36*b*c*d*x*(4*c^2*x^2-9*c*x-12)*sqrt(-c^2*d*x^2+d)/g/sqrt(c*x-1)/sqrt(c*x+1)-b*d*(c*f-g)*(c*f+g)*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/g^3-1/2*a*d*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/g/sqrt(c*x-1)/sqrt(c*x+1)+1/6*b*d*(-2*c^2*x^2+3*c*x+2)*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/g-1/4*b*d*sqrt(-c^2*d*x^2+d)*arccosh(c*x)^2/g/sqrt(c*x-1)/sqrt(c*x+1)+1/2*c*d*(c*f-g)*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/g^2-1/4*d*(c*f-g)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/g^2/sqrt(c*x-1)/sqrt(c*x+1)+1/2*c*d*(c*f-g)*(c*f+g)*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/g^3/sqrt(c*x-1)/sqrt(c*x+1)+1/2*d*(c*f-g)^2*(c*f+g)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/g^4/sqrt(c*x-1)/sqrt(c*x+1)/(g*x+f)+1/2*d*(c*f-g)*(c*f+g)*(-c^2*x^2+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/g^2/sqrt(c*x-1)/sqrt(c*x+1)/(g*x+f)-2*a*d*(c*f-g)^(3/2)*(c*f+g)^(3/2)*sqrt(-c^2*d*x^2+d)*arctanh(sqrt(c*f+g)*sqrt(c*x+1)/sqrt(c*f-g)/sqrt(c*x-1))/g^4/sqrt(c*x-1)/sqrt(c*x+1)-b*d*(c*f-g)*(c*f+g)*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arccosh(c*x)*ln(1+exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^4/sqrt(c*x-1)/sqrt(c*x+1)+b*d*(c*f-g)*(c*f+g)*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arccosh(c*x)*ln(1+exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^4/sqrt(c*x-1)/sqrt(c*x+1)-b*d*(c*f-g)*(c*f+g)*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^4/sqrt(c*x-1)/sqrt(c*x+1)+b*d*(c*f-g)*(c*f+g)*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^4/sqrt(c*x-1)/sqrt(c*x+1),1],
[(g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,32,5/96*b*d^2*f^3*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c-1/36*b*d^2*f^3*(c*x-1)^(5/2)*(c*x+1)^(5/2)*sqrt(-c^2*d*x^2+d)/c-15/128*d^2*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+5/24*d^2*f^3*x*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/6*d^2*f^3*x*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-2/63*d^2*g^3*(-c*x+1)^3*(c*x+1)^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^4+2/63*b*d^2*g^3*x*sqrt(-c^2*d*x^2+d)/c^3/sqrt(c*x-1)/sqrt(c*x+1)-5/32*b*c*d^2*f^3*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+1/189*b*d^2*g^3*x^3*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-1/21*b*c*d^2*g^3*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+19/441*b*c^3*d^2*g^3*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/81*b*c^5*d^2*g^3*x^9*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+5/16*d^2*f*g^2*x^3*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+3/8*d^2*f*g^2*x^3*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-3/7*d^2*f^2*g*(-c*x+1)^3*(c*x+1)^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-1/9*d^2*g^3*x^2*(-c*x+1)^3*(c*x+1)^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-5/32*d^2*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1)+15/64*d^2*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+3/7*b*d^2*f^2*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)+15/256*b*d^2*f*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-3/7*b*c*d^2*f^2*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-59/256*b*c*d^2*f*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+9/35*b*c^3*d^2*f^2*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+17/96*b*c^3*d^2*f*g^2*x^6*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-3/49*b*c^5*d^2*f^2*g*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-3/64*b*c^5*d^2*f*g^2*x^8*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-15/256*d^2*f*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/sqrt(c*x-1)/sqrt(c*x+1)+5/16*d^2*f^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x)),1],
[(g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,28,2/7*b*d^2*f*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-5/32*b*c*d^2*f^2*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+5/256*b*d^2*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-2/7*b*c*d^2*f*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-59/768*b*c*d^2*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+6/35*b*c^3*d^2*f*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+17/288*b*c^3*d^2*g^2*x^6*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-2/49*b*c^5*d^2*f*g*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/64*b*c^5*d^2*g^2*x^8*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+5/96*b*d^2*f^2*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c-1/36*b*d^2*f^2*(c*x-1)^(5/2)*(c*x+1)^(5/2)*sqrt(-c^2*d*x^2+d)/c+5/16*d^2*f^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-5/128*d^2*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2+5/64*d^2*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+5/24*d^2*f^2*x*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+5/48*d^2*g^2*x^3*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/6*d^2*f^2*x*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/8*d^2*g^2*x^3*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-2/7*d^2*f*g*(-c*x+1)^3*(c*x+1)^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-5/32*d^2*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1)-5/256*d^2*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c^3/sqrt(c*x-1)/sqrt(c*x+1),1],
[(g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x)),x,13,1/7*b*d^2*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(c*x-1)/sqrt(c*x+1)-5/32*b*c*d^2*f*x^2*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/7*b*c*d^2*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+3/35*b*c^3*d^2*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)-1/49*b*c^5*d^2*g*x^7*sqrt(-c^2*d*x^2+d)/sqrt(c*x-1)/sqrt(c*x+1)+5/96*b*d^2*f*(c*x-1)^(3/2)*(c*x+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c-1/36*b*d^2*f*(c*x-1)^(5/2)*(c*x+1)^(5/2)*sqrt(-c^2*d*x^2+d)/c+5/16*d^2*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+5/24*d^2*f*x*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))+1/6*d^2*f*x*(-c*x+1)^2*(c*x+1)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))-1/7*d^2*g*(-c*x+1)^3*(c*x+1)^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/c^2-5/32*d^2*f*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/sqrt(c*x-1)/sqrt(c*x+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/(g*x+f),x,37,-1/16*b*c^3*d^2*f*x^2*sqrt(-c^2*d*x^2+d)/g^2/sqrt(c*x-1)/sqrt(c*x+1)-1/9*b*c^3*d^2*(c^2*f^2-2*g^2)*x^3*sqrt(-c^2*d*x^2+d)/g^3/sqrt(c*x-1)/sqrt(c*x+1)+1/16*b*c^5*d^2*f*x^4*sqrt(-c^2*d*x^2+d)/g^2/sqrt(c*x-1)/sqrt(c*x+1)+2*a*d^2*(c*f-g)^(5/2)*(c*f+g)^(5/2)*sqrt(-c^2*d*x^2+d)*arctanh(sqrt(c*f+g)*sqrt(c*x+1)/sqrt(c*f-g)/sqrt(c*x-1))/g^6/sqrt(c*x-1)/sqrt(c*x+1)+b*d^2*(c^2*f^2-g^2)^2*sqrt(-c^2*d*x^2+d)*arccosh(c*x)/g^5-2/15*d^2*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/g-1/25*b*c^5*d^2*x^5*sqrt(-c^2*d*x^2+d)/g/sqrt(c*x-1)/sqrt(c*x+1)-b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^6/sqrt(c*x-1)/sqrt(c*x+1)+b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^6/sqrt(c*x-1)/sqrt(c*x+1)+2/15*b*c*d^2*x*sqrt(-c^2*d*x^2+d)/g/sqrt(c*x-1)/sqrt(c*x+1)+1/45*b*c^3*d^2*x^3*sqrt(-c^2*d*x^2+d)/g/sqrt(c*x-1)/sqrt(c*x+1)-1/5*c^2*d^2*x^2*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/g-1/2*c^2*d^2*f*(c^2*f^2-2*g^2)*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/g^4+1/3*b*c*d^2*(c^2*f^2-2*g^2)*x*sqrt(-c^2*d*x^2+d)/g^3/sqrt(c*x-1)/sqrt(c*x+1)-b*c*d^2*(c^2*f^2-g^2)^2*x*sqrt(-c^2*d*x^2+d)/g^5/sqrt(c*x-1)/sqrt(c*x+1)+1/16*c*d^2*f*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/g^2/sqrt(c*x-1)/sqrt(c*x+1)-b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arccosh(c*x)*ln(1+exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^6/sqrt(c*x-1)/sqrt(c*x+1)+b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arccosh(c*x)*ln(1+exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^6/sqrt(c*x-1)/sqrt(c*x+1)+1/4*b*c^3*d^2*f*(c^2*f^2-2*g^2)*x^2*sqrt(-c^2*d*x^2+d)/g^4/sqrt(c*x-1)/sqrt(c*x+1)+1/2*d^2*(c^2*f^2-g^2)^2*sqrt(c*x-1)*sqrt(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/g^4/(g*x+f)+1/4*c*d^2*f*(c^2*f^2-2*g^2)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/g^4/sqrt(c*x-1)/sqrt(c*x+1)-1/2*c*d^2*(c^2*f^2-g^2)^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/g^5/sqrt(c*x-1)/sqrt(c*x+1)-1/2*d^2*(c^2*f^2-g^2)^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))^2/b/c/g^6/sqrt(c*x-1)/sqrt(c*x+1)/(g*x+f)+1/8*c^2*d^2*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/g^2-1/4*c^4*d^2*f*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/g^2-1/3*d^2*(c^2*f^2-2*g^2)*(-c*x+1)*(c*x+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccosh(c*x))/g^3+a*d^2*(c^2*f^2-g^2)^2*sqrt(-c^2*d*x^2+d)/g^5,1],
[(g*x+f)^3*(a+b*arccosh(c*x))/sqrt(-c^2*d*x^2+d),x,13,-3*b*f^2*g*x*sqrt(c*x-1)*sqrt(c*x+1)/c/sqrt(-c^2*d*x^2+d)-2/3*b*g^3*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3/sqrt(-c^2*d*x^2+d)-3/4*b*f*g^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c/sqrt(-c^2*d*x^2+d)-1/9*b*g^3*x^3*sqrt(c*x-1)*sqrt(c*x+1)/c/sqrt(-c^2*d*x^2+d)-3*f^2*g*(-c*x+1)*(c*x+1)*(a+b*arccosh(c*x))/c^2/sqrt(-c^2*d*x^2+d)-2/3*g^3*(-c*x+1)*(c*x+1)*(a+b*arccosh(c*x))/c^4/sqrt(-c^2*d*x^2+d)-3/2*f*g^2*x*(-c*x+1)*(c*x+1)*(a+b*arccosh(c*x))/c^2/sqrt(-c^2*d*x^2+d)-1/3*g^3*x^2*(-c*x+1)*(c*x+1)*(a+b*arccosh(c*x))/c^2/sqrt(-c^2*d*x^2+d)+1/2*f^3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/b/c/sqrt(-c^2*d*x^2+d)+3/4*f*g^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/b/c^3/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^2*(a+b*arccosh(c*x))/sqrt(-c^2*d*x^2+d),x,9,-2*b*f*g*x*sqrt(c*x-1)*sqrt(c*x+1)/c/sqrt(-c^2*d*x^2+d)-1/4*b*g^2*x^2*sqrt(c*x-1)*sqrt(c*x+1)/c/sqrt(-c^2*d*x^2+d)-2*f*g*(-c*x+1)*(c*x+1)*(a+b*arccosh(c*x))/c^2/sqrt(-c^2*d*x^2+d)-1/2*g^2*x*(-c*x+1)*(c*x+1)*(a+b*arccosh(c*x))/c^2/sqrt(-c^2*d*x^2+d)+1/2*f^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/b/c/sqrt(-c^2*d*x^2+d)+1/4*g^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/b/c^3/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)*(a+b*arccosh(c*x))/sqrt(-c^2*d*x^2+d),x,6,-b*g*x*sqrt(c*x-1)*sqrt(c*x+1)/c/sqrt(-c^2*d*x^2+d)-g*(-c*x+1)*(c*x+1)*(a+b*arccosh(c*x))/c^2/sqrt(-c^2*d*x^2+d)+1/2*f*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/b/c/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccosh(c*x))/(g*x+f)/sqrt(-c^2*d*x^2+d),x,10,sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1+exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)-sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1+exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)+b*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)-b*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccosh(c*x))/(g*x+f)^2/sqrt(-c^2*d*x^2+d),x,13,-g*sqrt(c*x-1)*sqrt(-(-c*x+1)/(c*x+1))*(c*x+1)^(3/2)*(a+b*arccosh(c*x))/(c^2*f^2-g^2)/(g*x+f)/sqrt(-c^2*d*x^2+d)+c^2*f*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1+exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)-c^2*f*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1+exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)+b*c*sqrt(c*x-1)*sqrt(c*x+1)*ln(g*x+f)/(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)+b*c^2*f*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)-b*c^2*f*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^3*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,20,b*g^3*x*sqrt(c*x-1)*sqrt(c*x+1)/c^3/d/sqrt(-c^2*d*x^2+d)-1/2*(c*f-g)^3*(-c*x+1)*(a+b*arccosh(c*x))/c^4/d/sqrt(-c^2*d*x^2+d)+1/2*(c*f+g)^3*(c*x+1)*(a+b*arccosh(c*x))/c^4/d/sqrt(-c^2*d*x^2+d)+g^3*(-c*x+1)*(c*x+1)*(a+b*arccosh(c*x))/c^4/d/sqrt(-c^2*d*x^2+d)-3/2*f*g^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/b/c^3/d/sqrt(-c^2*d*x^2+d)-1/2*b*(c*f+g)^3*sqrt(c*x-1)*sqrt(-c^2*x^2+1)*ln(-c*x+1)/c^4/d/sqrt(-c*x+1)/sqrt(-c^2*d*x^2+d)-1/2*b*(c*f-g)^3*sqrt(c*x-1)*sqrt(-c^2*x^2+1)*ln(c*x+1)/c^4/d/sqrt(-c*x+1)/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^2*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,18,-1/2*(c*f-g)^2*(-c*x+1)*(a+b*arccosh(c*x))/c^3/d/sqrt(-c^2*d*x^2+d)+1/2*(c*f+g)^2*(c*x+1)*(a+b*arccosh(c*x))/c^3/d/sqrt(-c^2*d*x^2+d)-1/2*g^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2/b/c^3/d/sqrt(-c^2*d*x^2+d)-1/2*b*(c*f+g)^2*sqrt(c*x-1)*sqrt(-c^2*x^2+1)*ln(-c*x+1)/c^3/d/sqrt(-c*x+1)/sqrt(-c^2*d*x^2+d)-1/2*b*(c*f-g)^2*sqrt(c*x-1)*sqrt(-c^2*x^2+1)*ln(c*x+1)/c^3/d/sqrt(-c*x+1)/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)*(a+b*arccosh(c*x))/(-c^2*d*x^2+d)^(3/2),x,5,(c^2*f*x+g)*(a+b*arccosh(c*x))/c^2/d/sqrt(-c^2*d*x^2+d)-b*(c*f-g)*sqrt(c*x-1)*sqrt(c*x+1)*arctanh(c*x)/c^2/d/sqrt(-c^2*d*x^2+d)-b*f*sqrt(c*x-1)*sqrt(c*x+1)*ln(-c*x+1)/c/d/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccosh(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(3/2),x,26,-1/2*(-c*x+1)*(a+b*arccosh(c*x))/d/(c*f-g)/sqrt(-c^2*d*x^2+d)+1/2*(c*x+1)*(a+b*arccosh(c*x))/d/(c*f+g)/sqrt(-c^2*d*x^2+d)-g^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1+exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)+g^2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*ln(1+exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)-1/2*b*sqrt(c*x-1)*sqrt(-c^2*x^2+1)*ln(-c*x+1)/d/(c*f+g)/sqrt(-c*x+1)/sqrt(-c^2*d*x^2+d)-1/2*b*sqrt(c*x-1)*sqrt(-c^2*x^2+1)*ln(c*x+1)/d/(c*f-g)/sqrt(-c*x+1)/sqrt(-c^2*d*x^2+d)-b*g^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)+b*g^2*sqrt(c*x-1)*sqrt(c*x+1)*polylog(2,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)*(a+b*arccosh(c*x))^n/sqrt(-c^2*x^2+1),x,7,f*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^(1+n)/b/c/(1+n)/sqrt(-c^2*x^2+1)+1/2*g*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,-(a+b*arccosh(c*x))/b)/c^2/exp(a/b)/sqrt(-c^2*x^2+1)/((-(a+b*arccosh(c*x))/b)^n)-1/2*exp(a/b)*g*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(a+b*arccosh(c*x))/b)/c^2/sqrt(-c^2*x^2+1)/(((a+b*arccosh(c*x))/b)^n),1],
[(g*x+f)*(a+b*arccosh(c*x))^n/sqrt(-c*x+1)/sqrt(c*x+1),x,8,f*sqrt(c*x-1)*(a+b*arccosh(c*x))^(1+n)/b/c/(1+n)/sqrt(-c*x+1)+1/2*g*sqrt(c*x-1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,-(a+b*arccosh(c*x))/b)/c^2/exp(a/b)/sqrt(-c*x+1)/((-(a+b*arccosh(c*x))/b)^n)-1/2*exp(a/b)*g*sqrt(c*x-1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(a+b*arccosh(c*x))/b)/c^2/sqrt(-c*x+1)/(((a+b*arccosh(c*x))/b)^n),1],
[(g*x+f)*(a+b*arccosh(c*x))^n/sqrt(c*d1*x+d1)/sqrt(-c*d2*x+d2),x,7,f*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^(1+n)/b/c/(1+n)/sqrt(c*d1*x+d1)/sqrt(-c*d2*x+d2)+1/2*g*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,-(a+b*arccosh(c*x))/b)/c^2/exp(a/b)/sqrt(c*d1*x+d1)/sqrt(-c*d2*x+d2)/((-(a+b*arccosh(c*x))/b)^n)-1/2*exp(a/b)*g*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^n*GAMMA(1+n,(a+b*arccosh(c*x))/b)/c^2/sqrt(c*d1*x+d1)/sqrt(-c*d2*x+d2)/(((a+b*arccosh(c*x))/b)^n),1],
[(a+b*arccosh(c*x))^n*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,1,sqrt(c*x-1)*sqrt(c*x+1)*Defer(Int)((a+b*arccosh(c*x))^n*ln(h*(g*x+f)^m)/sqrt(c*x-1)/sqrt(c*x+1),x)/sqrt(-c^2*x^2+1),0],
[(a+b*arccosh(c*x))^2*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,14,1/12*m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^4/b^2/c/sqrt(-c^2*x^2+1)-1/3*m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^3*ln(1+exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/b/c/sqrt(-c^2*x^2+1)-1/3*m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^3*ln(1+exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/b/c/sqrt(-c^2*x^2+1)+1/3*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^3*ln(h*(g*x+f)^m)/b/c/sqrt(-c^2*x^2+1)-m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2*polylog(2,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c/sqrt(-c^2*x^2+1)-m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2*polylog(2,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c/sqrt(-c^2*x^2+1)+2*b*m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*polylog(3,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c/sqrt(-c^2*x^2+1)+2*b*m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*polylog(3,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c/sqrt(-c^2*x^2+1)-2*b^2*m*sqrt(c*x-1)*sqrt(c*x+1)*polylog(4,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c/sqrt(-c^2*x^2+1)-2*b^2*m*sqrt(c*x-1)*sqrt(c*x+1)*polylog(4,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c/sqrt(-c^2*x^2+1),1],
[(a+b*arccosh(c*x))*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,12,1/6*m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^3/b^2/c/sqrt(-c^2*x^2+1)-1/2*m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2*ln(1+exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/b/c/sqrt(-c^2*x^2+1)-1/2*m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2*ln(1+exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/b/c/sqrt(-c^2*x^2+1)+1/2*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))^2*ln(h*(g*x+f)^m)/b/c/sqrt(-c^2*x^2+1)-m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*polylog(2,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c/sqrt(-c^2*x^2+1)-m*sqrt(c*x-1)*sqrt(c*x+1)*(a+b*arccosh(c*x))*polylog(2,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c/sqrt(-c^2*x^2+1)+b*m*sqrt(c*x-1)*sqrt(c*x+1)*polylog(3,-exp(arccosh(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c/sqrt(-c^2*x^2+1)+b*m*sqrt(c*x-1)*sqrt(c*x+1)*polylog(3,-exp(arccosh(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c/sqrt(-c^2*x^2+1),1],
[ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,9,1/2*I*m*arcsin(c*x)^2/c-m*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c-m*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c+arcsin(c*x)*ln(h*(g*x+f)^m)/c+I*m*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c+I*m*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c,1],
[ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1)/(a+b*arccosh(c*x)),x,1,sqrt(c*x-1)*sqrt(c*x+1)*Defer(Int)(ln(h*(g*x+f)^m)/sqrt(c*x-1)/sqrt(c*x+1)/(a+b*arccosh(c*x)),x)/sqrt(-c^2*x^2+1),0]]: