lst:=[[x^4*(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,5,-2/35*b*d*sqrt(c^2*x^2+1)/c^5-1/105*b*d*(c^2*x^2+1)^(3/2)/c^5+8/175*b*d*(c^2*x^2+1)^(5/2)/c^5-1/49*b*d*(c^2*x^2+1)^(7/2)/c^5+1/5*d*x^5*(a+b*arcsinh(c*x))+1/7*c^2*d*x^7*(a+b*arcsinh(c*x)),1],
[x^3*(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,6,1/24*b*d*x*sqrt(c^2*x^2+1)/c^3-1/36*b*d*x^3*sqrt(c^2*x^2+1)/c-1/36*b*c*d*x^5*sqrt(c^2*x^2+1)-1/24*b*d*arcsinh(c*x)/c^4+1/4*d*x^4*(a+b*arcsinh(c*x))+1/6*c^2*d*x^6*(a+b*arcsinh(c*x)),1],
[x^2*(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,5,2/15*b*d*sqrt(c^2*x^2+1)/c^3+1/45*b*d*(c^2*x^2+1)^(3/2)/c^3-1/25*b*d*(c^2*x^2+1)^(5/2)/c^3+1/3*d*x^3*(a+b*arcsinh(c*x))+1/5*c^2*d*x^5*(a+b*arcsinh(c*x)),1],
[x*(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,4,-3/32*b*d*x*sqrt(c^2*x^2+1)/c-1/16*b*d*x*(c^2*x^2+1)^(3/2)/c-3/32*b*d*arcsinh(c*x)/c^2+1/4*d*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))/c^2,1],
[(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],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x,x,6,-1/4*b*c*d*x*sqrt(c^2*x^2+1)-1/4*b*d*arcsinh(c*x)+1/2*d*(c^2*x^2+1)*(a+b*arcsinh(c*x))-1/2*d*(a+b*arcsinh(c*x))^2/b+d*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))+1/2*b*d*polylog(2,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^2,x,6,-b*c*d*sqrt(c^2*x^2+1)-d*(a+b*arcsinh(c*x))/x+c^2*d*x*(a+b*arcsinh(c*x))-b*c*d*arctanh(sqrt(c^2*x^2+1)),1],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^3,x,6,-1/2*b*c*d*sqrt(c^2*x^2+1)/x+1/2*b*c^2*d*arcsinh(c*x)-1/2*d*(c^2*x^2+1)*(a+b*arcsinh(c*x))/x^2-1/2*c^2*d*(a+b*arcsinh(c*x))^2/b+c^2*d*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))+1/2*b*c^2*d*polylog(2,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^4,x,6,-1/6*b*c*d*sqrt(c^2*x^2+1)/x^2-1/3*d*(a+b*arcsinh(c*x))/x^3-c^2*d*(a+b*arcsinh(c*x))/x-5/6*b*c^3*d*arctanh(sqrt(c^2*x^2+1)),1],
[x^4*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x)),x,5,-8/315*b*d^2*sqrt(c^2*x^2+1)/c^5-4/945*b*d^2*(c^2*x^2+1)^(3/2)/c^5-1/525*b*d^2*(c^2*x^2+1)^(5/2)/c^5+10/441*b*d^2*(c^2*x^2+1)^(7/2)/c^5-1/81*b*d^2*(c^2*x^2+1)^(9/2)/c^5+1/5*d^2*x^5*(a+b*arcsinh(c*x))+2/7*c^2*d^2*x^7*(a+b*arcsinh(c*x))+1/9*c^4*d^2*x^9*(a+b*arcsinh(c*x)),1],
[x^3*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x)),x,7,73/3072*b*d^2*x*sqrt(c^2*x^2+1)/c^3-73/4608*b*d^2*x^3*sqrt(c^2*x^2+1)/c-43/1152*b*c*d^2*x^5*sqrt(c^2*x^2+1)-1/64*b*c^3*d^2*x^7*sqrt(c^2*x^2+1)-73/3072*b*d^2*arcsinh(c*x)/c^4+1/4*d^2*x^4*(a+b*arcsinh(c*x))+1/3*c^2*d^2*x^6*(a+b*arcsinh(c*x))+1/8*c^4*d^2*x^8*(a+b*arcsinh(c*x)),1],
[x^2*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x)),x,5,8/105*b*d^2*sqrt(c^2*x^2+1)/c^3+4/315*b*d^2*(c^2*x^2+1)^(3/2)/c^3+1/175*b*d^2*(c^2*x^2+1)^(5/2)/c^3-1/49*b*d^2*(c^2*x^2+1)^(7/2)/c^3+1/3*d^2*x^3*(a+b*arcsinh(c*x))+2/5*c^2*d^2*x^5*(a+b*arcsinh(c*x))+1/7*c^4*d^2*x^7*(a+b*arcsinh(c*x)),1],
[x*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x)),x,5,-5/96*b*d^2*x*sqrt(c^2*x^2+1)/c-5/144*b*d^2*x*(c^2*x^2+1)^(3/2)/c-1/36*b*d^2*x*(c^2*x^2+1)^(5/2)/c-5/96*b*d^2*arcsinh(c*x)/c^2+1/6*d^2*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))/c^2,1],
[(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)^2*(a+b*arcsinh(c*x))/x,x,10,-11/32*b*c*d^2*x*sqrt(c^2*x^2+1)-1/16*b*c*d^2*x*(c^2*x^2+1)^(3/2)-11/32*b*d^2*arcsinh(c*x)+1/2*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))+1/4*d^2*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))-1/2*d^2*(a+b*arcsinh(c*x))^2/b+d^2*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))+1/2*b*d^2*polylog(2,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))/x^2,x,7,-5/3*b*c*d^2*sqrt(c^2*x^2+1)-1/9*b*c*d^2*(c^2*x^2+1)^(3/2)-d^2*(a+b*arcsinh(c*x))/x+2*c^2*d^2*x*(a+b*arcsinh(c*x))+1/3*c^4*d^2*x^3*(a+b*arcsinh(c*x))-b*c*d^2*arctanh(sqrt(c^2*x^2+1)),1],
[(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))/x^3,x,10,1/4*b*c^3*d^2*x*sqrt(c^2*x^2+1)-1/2*b*c*d^2*(c^2*x^2+1)^(3/2)/x+1/4*b*c^2*d^2*arcsinh(c*x)+c^2*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))-1/2*d^2*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))/x^2-c^2*d^2*(a+b*arcsinh(c*x))^2/b+2*c^2*d^2*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))+b*c^2*d^2*polylog(2,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))/x^4,x,7,-b*c^3*d^2*sqrt(c^2*x^2+1)-1/6*b*c*d^2*sqrt(c^2*x^2+1)/x^2-1/3*d^2*(a+b*arcsinh(c*x))/x^3-2*c^2*d^2*(a+b*arcsinh(c*x))/x+c^4*d^2*x*(a+b*arcsinh(c*x))-11/6*b*c^3*d^2*arctanh(sqrt(c^2*x^2+1)),1],
[x^4*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x)),x,5,-16/1155*b*d^3*sqrt(c^2*x^2+1)/c^5-8/3465*b*d^3*(c^2*x^2+1)^(3/2)/c^5-2/1925*b*d^3*(c^2*x^2+1)^(5/2)/c^5-1/1617*b*d^3*(c^2*x^2+1)^(7/2)/c^5+4/297*b*d^3*(c^2*x^2+1)^(9/2)/c^5-1/121*b*d^3*(c^2*x^2+1)^(11/2)/c^5+1/5*d^3*x^5*(a+b*arcsinh(c*x))+3/7*c^2*d^3*x^7*(a+b*arcsinh(c*x))+1/3*c^4*d^3*x^9*(a+b*arcsinh(c*x))+1/11*c^6*d^3*x^11*(a+b*arcsinh(c*x)),1],
[x^3*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x)),x,8,49/5120*b*d^3*x*sqrt(c^2*x^2+1)/c^3+49/7680*b*d^3*x*(c^2*x^2+1)^(3/2)/c^3+49/9600*b*d^3*x*(c^2*x^2+1)^(5/2)/c^3+7/1600*b*d^3*x*(c^2*x^2+1)^(7/2)/c^3-1/100*b*d^3*x*(c^2*x^2+1)^(9/2)/c^3+49/5120*b*d^3*arcsinh(c*x)/c^4-1/8*d^3*(c^2*x^2+1)^4*(a+b*arcsinh(c*x))/c^4+1/10*d^3*(c^2*x^2+1)^5*(a+b*arcsinh(c*x))/c^4,1],
[x^2*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x)),x,5,16/315*b*d^3*sqrt(c^2*x^2+1)/c^3+8/945*b*d^3*(c^2*x^2+1)^(3/2)/c^3+2/525*b*d^3*(c^2*x^2+1)^(5/2)/c^3+1/441*b*d^3*(c^2*x^2+1)^(7/2)/c^3-1/81*b*d^3*(c^2*x^2+1)^(9/2)/c^3+1/3*d^3*x^3*(a+b*arcsinh(c*x))+3/5*c^2*d^3*x^5*(a+b*arcsinh(c*x))+3/7*c^4*d^3*x^7*(a+b*arcsinh(c*x))+1/9*c^6*d^3*x^9*(a+b*arcsinh(c*x)),1],
[x*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x)),x,6,-35/1024*b*d^3*x*sqrt(c^2*x^2+1)/c-35/1536*b*d^3*x*(c^2*x^2+1)^(3/2)/c-7/384*b*d^3*x*(c^2*x^2+1)^(5/2)/c-1/64*b*d^3*x*(c^2*x^2+1)^(7/2)/c-35/1024*b*d^3*arcsinh(c*x)/c^2+1/8*d^3*(c^2*x^2+1)^4*(a+b*arcsinh(c*x))/c^2,1],
[(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)^3*(a+b*arcsinh(c*x))/x,x,15,-19/48*b*c*d^3*x*sqrt(c^2*x^2+1)-7/72*b*c*d^3*x*(c^2*x^2+1)^(3/2)-1/36*b*c*d^3*x*(c^2*x^2+1)^(5/2)-19/48*b*d^3*arcsinh(c*x)+1/2*d^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))+1/4*d^3*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))+1/6*d^3*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))-1/2*d^3*(a+b*arcsinh(c*x))^2/b+d^3*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))+1/2*b*d^3*polylog(2,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))/x^2,x,7,-11/5*b*c*d^3*sqrt(c^2*x^2+1)-1/5*b*c*d^3*(c^2*x^2+1)^(3/2)-1/25*b*c*d^3*(c^2*x^2+1)^(5/2)-d^3*(a+b*arcsinh(c*x))/x+3*c^2*d^3*x*(a+b*arcsinh(c*x))+c^4*d^3*x^3*(a+b*arcsinh(c*x))+1/5*c^6*d^3*x^5*(a+b*arcsinh(c*x))-b*c*d^3*arctanh(sqrt(c^2*x^2+1)),1],
[(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))/x^3,x,15,-3/32*b*c^3*d^3*x*sqrt(c^2*x^2+1)+7/16*b*c^3*d^3*x*(c^2*x^2+1)^(3/2)-1/2*b*c*d^3*(c^2*x^2+1)^(5/2)/x-3/32*b*c^2*d^3*arcsinh(c*x)+3/2*c^2*d^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))+3/4*c^2*d^3*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))-1/2*d^3*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))/x^2-3/2*c^2*d^3*(a+b*arcsinh(c*x))^2/b+3*c^2*d^3*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))+3/2*b*c^2*d^3*polylog(2,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))/x^4,x,8,-8/3*b*c^3*d^3*sqrt(c^2*x^2+1)-1/6*b*c*d^3*sqrt(c^2*x^2+1)/x^2-1/9*b*c^3*d^3*(c^2*x^2+1)^(3/2)-1/3*d^3*(a+b*arcsinh(c*x))/x^3-3*c^2*d^3*(a+b*arcsinh(c*x))/x+3*c^4*d^3*x*(a+b*arcsinh(c*x))+1/3*c^6*d^3*x^3*(a+b*arcsinh(c*x))-17/6*b*c^3*d^3*arctanh(sqrt(c^2*x^2+1)),1],
[x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x,10,4/3*b*sqrt(c^2*x^2+1)/c^5/d-1/9*b*(c^2*x^2+1)^(3/2)/c^5/d-x*(a+b*arcsinh(c*x))/c^4/d+1/3*x^3*(a+b*arcsinh(c*x))/c^2/d+2*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^5/d-I*b*polylog(2,-I*exp(arcsinh(c*x)))/c^5/d+I*b*polylog(2,I*exp(arcsinh(c*x)))/c^5/d,1],
[x^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x,6,-1/4*b*x*sqrt(c^2*x^2+1)/c^3/d+1/4*b*arcsinh(c*x)/c^4/d+1/2*x^2*(a+b*arcsinh(c*x))/c^2/d+1/2*(a+b*arcsinh(c*x))^2/b/c^4/d-(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c^4/d-1/2*b*polylog(2,-exp(2*arcsinh(c*x)))/c^4/d,1],
[x^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x,6,-b*sqrt(c^2*x^2+1)/c^3/d+x*(a+b*arcsinh(c*x))/c^2/d-2*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^3/d+I*b*polylog(2,-I*exp(arcsinh(c*x)))/c^3/d-I*b*polylog(2,I*exp(arcsinh(c*x)))/c^3/d,1],
[x*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x,3,-1/2*(a+b*arcsinh(c*x))^2/b/c^2/d+(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c^2/d+1/2*b*polylog(2,-exp(2*arcsinh(c*x)))/c^2/d,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))/x/(c^2*d*x^2+d),x,5,-2*(a+b*arcsinh(c*x))*arctanh(exp(2*arcsinh(c*x)))/d-1/2*b*polylog(2,-exp(2*arcsinh(c*x)))/d+1/2*b*polylog(2,exp(2*arcsinh(c*x)))/d,1],
[(a+b*arcsinh(c*x))/x^2/(c^2*d*x^2+d),x,8,-(a+b*arcsinh(c*x))/d/x-2*c*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/d-b*c*arctanh(sqrt(c^2*x^2+1))/d+I*b*c*polylog(2,-I*exp(arcsinh(c*x)))/d-I*b*c*polylog(2,I*exp(arcsinh(c*x)))/d,1],
[(a+b*arcsinh(c*x))/x^3/(c^2*d*x^2+d),x,8,-1/2*b*c*sqrt(c^2*x^2+1)/d/x-1/2*(a+b*arcsinh(c*x))/d/x^2+2*c^2*(a+b*arcsinh(c*x))*arctanh(exp(2*arcsinh(c*x)))/d+1/2*b*c^2*polylog(2,-exp(2*arcsinh(c*x)))/d-1/2*b*c^2*polylog(2,exp(2*arcsinh(c*x)))/d,1],
[(a+b*arcsinh(c*x))/x^4/(c^2*d*x^2+d),x,10,-1/6*b*c*sqrt(c^2*x^2+1)/d/x^2-1/3*(a+b*arcsinh(c*x))/d/x^3+c^2*(a+b*arcsinh(c*x))/d/x+2*c^3*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/d+7/6*b*c^3*arctanh(sqrt(c^2*x^2+1))/d-I*b*c^3*polylog(2,-I*exp(arcsinh(c*x)))/d+I*b*c^3*polylog(2,I*exp(arcsinh(c*x)))/d,1],
[x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x,10,1/2*b/c^5/d^2/sqrt(c^2*x^2+1)-b*sqrt(c^2*x^2+1)/c^5/d^2+3/2*x*(a+b*arcsinh(c*x))/c^4/d^2-1/2*x^3*(a+b*arcsinh(c*x))/c^2/d^2/(c^2*x^2+1)-3*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^5/d^2+3/2*I*b*polylog(2,-I*exp(arcsinh(c*x)))/c^5/d^2-3/2*I*b*polylog(2,I*exp(arcsinh(c*x)))/c^5/d^2,1],
[x^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x,6,-1/2*b*x/c^3/d^2/sqrt(c^2*x^2+1)+1/2*b*arcsinh(c*x)/c^4/d^2-1/2*x^2*(a+b*arcsinh(c*x))/c^2/d^2/(c^2*x^2+1)-1/2*(a+b*arcsinh(c*x))^2/b/c^4/d^2+(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c^4/d^2+1/2*b*polylog(2,-exp(2*arcsinh(c*x)))/c^4/d^2,1],
[x^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x,6,-1/2*b/c^3/d^2/sqrt(c^2*x^2+1)-1/2*x*(a+b*arcsinh(c*x))/c^2/d^2/(c^2*x^2+1)+(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^3/d^2-1/2*I*b*polylog(2,-I*exp(arcsinh(c*x)))/c^3/d^2+1/2*I*b*polylog(2,I*exp(arcsinh(c*x)))/c^3/d^2,1],
[x*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x,2,1/2*b*x/c/d^2/sqrt(c^2*x^2+1)-1/2*(a+b*arcsinh(c*x))/c^2/d^2/(c^2*x^2+1),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))/x/(c^2*d*x^2+d)^2,x,7,-1/2*b*c*x/d^2/sqrt(c^2*x^2+1)+1/2*(a+b*arcsinh(c*x))/d^2/(c^2*x^2+1)-2*(a+b*arcsinh(c*x))*arctanh(exp(2*arcsinh(c*x)))/d^2-1/2*b*polylog(2,-exp(2*arcsinh(c*x)))/d^2+1/2*b*polylog(2,exp(2*arcsinh(c*x)))/d^2,1],
[(a+b*arcsinh(c*x))/x^2/(c^2*d*x^2+d)^2,x,10,-1/2*b*c/d^2/sqrt(c^2*x^2+1)-(a+b*arcsinh(c*x))/d^2/x-1/2*c^2*x*(a+b*arcsinh(c*x))/d^2/(c^2*x^2+1)-3*c*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/d^2-b*c*arctanh(sqrt(c^2*x^2+1))/d^2+3/2*I*b*c*polylog(2,-I*exp(arcsinh(c*x)))/d^2-3/2*I*b*c*polylog(2,I*exp(arcsinh(c*x)))/d^2,1],
[(a+b*arcsinh(c*x))/x^3/(c^2*d*x^2+d)^2,x,8,-1/2*b*c/d^2/x/sqrt(c^2*x^2+1)-1/2*(a+b*arcsinh(c*x))/d^2/x^2-1/2*c^2*(a+b*arcsinh(c*x))/d^2/(c^2*x^2+1)+4*c^2*(a+b*arcsinh(c*x))*arctanh(exp(2*arcsinh(c*x)))/d^2+b*c^2*polylog(2,-exp(2*arcsinh(c*x)))/d^2-b*c^2*polylog(2,exp(2*arcsinh(c*x)))/d^2,1],
[(a+b*arcsinh(c*x))/x^4/(c^2*d*x^2+d)^2,x,11,1/2*b*c^3/d^2/sqrt(c^2*x^2+1)-1/6*b*c*sqrt(c^2*x^2+1)/d^2/x^2-1/3*(a+b*arcsinh(c*x))/d^2/x^3+2*c^2*(a+b*arcsinh(c*x))/d^2/x+1/2*c^4*x*(a+b*arcsinh(c*x))/d^2/(c^2*x^2+1)+5*c^3*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/d^2+13/6*b*c^3*arctanh(sqrt(c^2*x^2+1))/d^2-5/2*I*b*c^3*polylog(2,-I*exp(arcsinh(c*x)))/d^2+5/2*I*b*c^3*polylog(2,I*exp(arcsinh(c*x)))/d^2,1],
[x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x,10,1/12*b/c^5/d^3/(c^2*x^2+1)^(3/2)-5/8*b/c^5/d^3/sqrt(c^2*x^2+1)-1/4*x^3*(a+b*arcsinh(c*x))/c^2/d^3/(c^2*x^2+1)^2-3/8*x*(a+b*arcsinh(c*x))/c^4/d^3/(c^2*x^2+1)+3/4*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^5/d^3-3/8*I*b*polylog(2,-I*exp(arcsinh(c*x)))/c^5/d^3+3/8*I*b*polylog(2,I*exp(arcsinh(c*x)))/c^5/d^3,1],
[x^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x,4,1/12*b*x^3/c/d^3/(c^2*x^2+1)^(3/2)+1/4*b*x/c^3/d^3/sqrt(c^2*x^2+1)-1/4*b*arcsinh(c*x)/c^4/d^3+1/4*x^4*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)^2,1],
[x^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x,8,-1/12*b/c^3/d^3/(c^2*x^2+1)^(3/2)+1/8*b/c^3/d^3/sqrt(c^2*x^2+1)-1/4*x*(a+b*arcsinh(c*x))/c^2/d^3/(c^2*x^2+1)^2+1/8*x*(a+b*arcsinh(c*x))/c^2/d^3/(c^2*x^2+1)+1/4*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^3/d^3-1/8*I*b*polylog(2,-I*exp(arcsinh(c*x)))/c^3/d^3+1/8*I*b*polylog(2,I*exp(arcsinh(c*x)))/c^3/d^3,1],
[x*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x,3,1/12*b*x/c/d^3/(c^2*x^2+1)^(3/2)+1/6*b*x/c/d^3/sqrt(c^2*x^2+1)-1/4*(a+b*arcsinh(c*x))/c^2/d^3/(c^2*x^2+1)^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],
[(a+b*arcsinh(c*x))/x/(c^2*d*x^2+d)^3,x,10,-1/12*b*c*x/d^3/(c^2*x^2+1)^(3/2)-2/3*b*c*x/d^3/sqrt(c^2*x^2+1)+1/4*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)^2+1/2*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)-2*(a+b*arcsinh(c*x))*arctanh(exp(2*arcsinh(c*x)))/d^3-1/2*b*polylog(2,-exp(2*arcsinh(c*x)))/d^3+1/2*b*polylog(2,exp(2*arcsinh(c*x)))/d^3,1],
[(a+b*arcsinh(c*x))/x^2/(c^2*d*x^2+d)^3,x,11,-1/12*b*c/d^3/(c^2*x^2+1)^(3/2)-7/8*b*c/d^3/sqrt(c^2*x^2+1)-(a+b*arcsinh(c*x))/d^3/x-1/4*c^2*x*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)^2-7/8*c^2*x*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)-15/4*c*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/d^3-b*c*arctanh(sqrt(c^2*x^2+1))/d^3+15/8*I*b*c*polylog(2,-I*exp(arcsinh(c*x)))/d^3-15/8*I*b*c*polylog(2,I*exp(arcsinh(c*x)))/d^3,1],
[(a+b*arcsinh(c*x))/x^3/(c^2*d*x^2+d)^3,x,11,1/12*b*c^3*x/d^3/(c^2*x^2+1)^(3/2)+7/6*b*c^3*x/d^3/sqrt(c^2*x^2+1)-1/2*b*c*sqrt(c^2*x^2+1)/d^3/x+b*c^2*arcsinh(c*x)/d^3-1/2*(a+b*arcsinh(c*x))/d^3/x^2-1/4*c^2*(2*c^2*x^2+3)^2*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)^2+6*c^2*(a+b*arcsinh(c*x))*arctanh(exp(2*arcsinh(c*x)))/d^3+3/2*b*c^2*polylog(2,-exp(2*arcsinh(c*x)))/d^3-3/2*b*c^2*polylog(2,exp(2*arcsinh(c*x)))/d^3,1],
[(a+b*arcsinh(c*x))/x^4/(c^2*d*x^2+d)^3,x,12,1/12*b*c^3/d^3/(c^2*x^2+1)^(3/2)+11/8*b*c^3/d^3/sqrt(c^2*x^2+1)-1/6*b*c*sqrt(c^2*x^2+1)/d^3/x^2-1/3*(a+b*arcsinh(c*x))/d^3/x^3+3*c^2*(a+b*arcsinh(c*x))/d^3/x+1/4*c^4*x*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)^2+11/8*c^4*x*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)+35/4*c^3*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/d^3+19/6*b*c^3*arctanh(sqrt(c^2*x^2+1))/d^3-35/8*I*b*c^3*polylog(2,-I*exp(arcsinh(c*x)))/d^3+35/8*I*b*c^3*polylog(2,I*exp(arcsinh(c*x)))/d^3,1],
[x^5*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x)),x,4,-8/105*b*sqrt(Pi)*x/c^5+4/315*b*sqrt(Pi)*x^3/c^3-1/175*b*sqrt(Pi)*x^5/c-1/49*b*c*sqrt(Pi)*x^7+1/3*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/c^6/Pi-2/5*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/c^6/Pi^2+1/7*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/c^6/Pi^3,1],
[x^3*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x)),x,4,2/15*b*sqrt(Pi)*x/c^3-1/45*b*sqrt(Pi)*x^3/c-1/25*b*c*sqrt(Pi)*x^5-1/3*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/c^4/Pi+1/5*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/c^4/Pi^2,1],
[x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x)),x,2,-1/3*b*sqrt(Pi)*x/c-1/9*b*c*sqrt(Pi)*x^3+1/3*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/c^2/Pi,1],
[sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/x,x,6,-b*c*sqrt(Pi)*x+sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))-2*sqrt(Pi)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-b*sqrt(Pi)*polylog(2,-exp(arcsinh(c*x)))+b*sqrt(Pi)*polylog(2,exp(arcsinh(c*x))),1],
[sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/x^3,x,6,-1/2*b*c*sqrt(Pi)/x-1/2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/x^2-c^2*sqrt(Pi)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-1/2*b*c^2*sqrt(Pi)*polylog(2,-exp(arcsinh(c*x)))+1/2*b*c^2*sqrt(Pi)*polylog(2,exp(arcsinh(c*x))),1],
[x^2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x)),x,5,-1/16*b*sqrt(Pi)*x^2/c-1/16*b*c*sqrt(Pi)*x^4+1/8*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^2+1/4*x^3*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))-1/16*sqrt(Pi)*(a+b*arcsinh(c*x))^2/b/c^3,1],
[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],
[sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/x^2,x,3,-sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/x+1/2*c*sqrt(Pi)*(a+b*arcsinh(c*x))^2/b+b*c*sqrt(Pi)*ln(x),1],
[sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/x^4,x,4,-1/6*b*c*sqrt(Pi)/x^2-1/3*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/Pi/x^3+1/3*b*c^3*sqrt(Pi)*ln(x),1],
[sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/x^6,x,5,-1/20*b*c*sqrt(Pi)/x^4-1/30*b*c^3*sqrt(Pi)/x^2-1/5*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/Pi/x^5+2/15*c^2*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/Pi/x^3-2/15*b*c^5*sqrt(Pi)*ln(x),1],
[x^5*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x)),x,4,-8/315*b*Pi^(3/2)*x/c^5+4/945*b*Pi^(3/2)*x^3/c^3-1/525*b*Pi^(3/2)*x^5/c-10/441*b*c*Pi^(3/2)*x^7-1/81*b*c^3*Pi^(3/2)*x^9+1/5*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/c^6/Pi-2/7*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/c^6/Pi^2+1/9*(Pi*c^2*x^2+Pi)^(9/2)*(a+b*arcsinh(c*x))/c^6/Pi^3,1],
[x^3*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x)),x,4,2/35*b*Pi^(3/2)*x/c^3-1/105*b*Pi^(3/2)*x^3/c-8/175*b*c*Pi^(3/2)*x^5-1/49*b*c^3*Pi^(3/2)*x^7-1/5*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/c^4/Pi+1/7*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/c^4/Pi^2,1],
[x*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x)),x,3,-1/5*b*Pi^(3/2)*x/c-2/15*b*c*Pi^(3/2)*x^3-1/25*b*c^3*Pi^(3/2)*x^5+1/5*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/c^2/Pi,1],
[(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x,x,8,-4/3*b*c*Pi^(3/2)*x-1/9*b*c^3*Pi^(3/2)*x^3+Pi*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))+1/3*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))-2*Pi^(3/2)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-b*Pi^(3/2)*polylog(2,-exp(arcsinh(c*x)))+b*Pi^(3/2)*polylog(2,exp(arcsinh(c*x))),1],
[(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x^3,x,9,-1/2*b*c*Pi^(3/2)/x-b*c^3*Pi^(3/2)*x+3/2*c^2*Pi*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))-1/2*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x^2-3*c^2*Pi^(3/2)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-3/2*b*c^2*Pi^(3/2)*polylog(2,-exp(arcsinh(c*x)))+3/2*b*c^2*Pi^(3/2)*polylog(2,exp(arcsinh(c*x))),1],
[x^2*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x)),x,9,-1/32*b*Pi^(3/2)*x^2/c-7/96*b*c*Pi^(3/2)*x^4-1/36*b*c^3*Pi^(3/2)*x^6+1/16*Pi*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^2+1/8*Pi*x^3*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))+1/6*x^3*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))-1/32*Pi^(3/2)*(a+b*arcsinh(c*x))^2/b/c^3,1],
[(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],
[(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x^2,x,7,-1/4*b*c^3*Pi^(3/2)*x^2+3/2*c^2*Pi*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))-(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x+3/4*c*Pi^(3/2)*(a+b*arcsinh(c*x))^2/b+b*c*Pi^(3/2)*ln(x),1],
[(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x^4,x,7,-1/6*b*c*Pi^(3/2)/x^2-c^2*Pi*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/x-1/3*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x^3+1/2*c^3*Pi^(3/2)*(a+b*arcsinh(c*x))^2/b+4/3*b*c^3*Pi^(3/2)*ln(x),1],
[(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x^6,x,4,-1/20*b*c*Pi^(3/2)/x^4-1/5*b*c^3*Pi^(3/2)/x^2-1/5*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/Pi/x^5+1/5*b*c^5*Pi^(3/2)*ln(x),1],
[(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x^8,x,5,-1/42*b*c*Pi^(3/2)/x^6-2/35*b*c^3*Pi^(3/2)/x^4-1/70*b*c^5*Pi^(3/2)/x^2-1/7*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/Pi/x^7+2/35*c^2*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/Pi/x^5-2/35*b*c^7*Pi^(3/2)*ln(x),1],
[(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x^10,x,5,-1/72*b*c*Pi^(3/2)/x^8-5/189*b*c^3*Pi^(3/2)/x^6-1/420*b*c^5*Pi^(3/2)/x^4+2/315*b*c^7*Pi^(3/2)/x^2-1/9*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/Pi/x^9+4/63*c^2*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/Pi/x^7-8/315*c^4*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/Pi/x^5+8/315*b*c^9*Pi^(3/2)*ln(x),1],
[x^5*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x)),x,4,-8/693*b*Pi^(5/2)*x/c^5+4/2079*b*Pi^(5/2)*x^3/c^3-1/1155*b*Pi^(5/2)*x^5/c-113/4851*b*c*Pi^(5/2)*x^7-23/891*b*c^3*Pi^(5/2)*x^9-1/121*b*c^5*Pi^(5/2)*x^11+1/7*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/c^6/Pi-2/9*(Pi*c^2*x^2+Pi)^(9/2)*(a+b*arcsinh(c*x))/c^6/Pi^2+1/11*(Pi*c^2*x^2+Pi)^(11/2)*(a+b*arcsinh(c*x))/c^6/Pi^3,1],
[x^3*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x)),x,4,2/63*b*Pi^(5/2)*x/c^3-1/189*b*Pi^(5/2)*x^3/c-1/21*b*c*Pi^(5/2)*x^5-19/441*b*c^3*Pi^(5/2)*x^7-1/81*b*c^5*Pi^(5/2)*x^9-1/7*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/c^4/Pi+1/9*(Pi*c^2*x^2+Pi)^(9/2)*(a+b*arcsinh(c*x))/c^4/Pi^2,1],
[x*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x)),x,3,-1/7*b*Pi^(5/2)*x/c-1/7*b*c*Pi^(5/2)*x^3-3/35*b*c^3*Pi^(5/2)*x^5-1/49*b*c^5*Pi^(5/2)*x^7+1/7*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/c^2/Pi,1],
[(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x,x,11,-23/15*b*c*Pi^(5/2)*x-11/45*b*c^3*Pi^(5/2)*x^3-1/25*b*c^5*Pi^(5/2)*x^5+Pi^2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))+1/3*Pi*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))+1/5*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))-2*Pi^(5/2)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-b*Pi^(5/2)*polylog(2,-exp(arcsinh(c*x)))+b*Pi^(5/2)*polylog(2,exp(arcsinh(c*x))),1],
[(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x^3,x,11,-1/2*b*c*Pi^(5/2)/x-7/3*b*c^3*Pi^(5/2)*x-1/9*b*c^5*Pi^(5/2)*x^3+5/2*c^2*Pi^2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))+5/6*c^2*Pi*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))-1/2*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x^2-5*c^2*Pi^(5/2)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-5/2*b*c^2*Pi^(5/2)*polylog(2,-exp(arcsinh(c*x)))+5/2*b*c^2*Pi^(5/2)*polylog(2,exp(arcsinh(c*x))),1],
[x^2*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x)),x,13,-5/256*b*Pi^(5/2)*x^2/c-59/768*b*c*Pi^(5/2)*x^4-17/288*b*c^3*Pi^(5/2)*x^6-1/64*b*c^5*Pi^(5/2)*x^8+5/128*Pi^2*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^2+5/64*Pi^2*x^3*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))+5/48*Pi*x^3*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))+1/8*x^3*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))-5/256*Pi^(5/2)*(a+b*arcsinh(c*x))^2/b/c^3,1],
[(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)^(5/2)*(a+b*arcsinh(c*x))/x^2,x,9,1/16*b*c^3*Pi^(5/2)*x^2+1/4*b*c^5*Pi^(5/2)*x^4-5/16*b*c*Pi^(5/2)*(c^2*x^2+1)^2+15/8*c^2*Pi^2*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))+5/4*c^2*Pi*x*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))-(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x+15/16*c*Pi^(5/2)*(a+b*arcsinh(c*x))^2/b+b*c*Pi^(5/2)*ln(x),1],
[(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x^4,x,11,-1/6*b*c*Pi^(5/2)/x^2-1/4*b*c^5*Pi^(5/2)*x^2+5/2*c^4*Pi^2*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))-5/3*c^2*Pi*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x-1/3*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x^3+5/4*c^3*Pi^(5/2)*(a+b*arcsinh(c*x))^2/b+7/3*b*c^3*Pi^(5/2)*ln(x),1],
[(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x^6,x,11,-1/20*b*c*Pi^(5/2)/x^4-11/30*b*c^3*Pi^(5/2)/x^2-c^4*Pi^2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/x-1/3*c^2*Pi*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/x^3-1/5*(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x^5+1/2*c^5*Pi^(5/2)*(a+b*arcsinh(c*x))^2/b+23/15*b*c^5*Pi^(5/2)*ln(x),1],
[(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x^8,x,4,-1/42*b*c*Pi^(5/2)/x^6-3/28*b*c^3*Pi^(5/2)/x^4-3/14*b*c^5*Pi^(5/2)/x^2-1/7*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/Pi/x^7+1/7*b*c^7*Pi^(5/2)*ln(x),1],
[(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x^10,x,6,1/189*b*c^3*Pi^(5/2)/x^6+1/42*b*c^5*Pi^(5/2)/x^4+1/21*b*c^7*Pi^(5/2)/x^2-1/72*b*c*Pi^(5/2)*(c^2*x^2+1)^4/x^8-1/9*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/Pi/x^9+2/63*c^2*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/Pi/x^7-2/63*b*c^9*Pi^(5/2)*ln(x),1],
[(Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsinh(c*x))/x^12,x,5,-1/110*b*c*Pi^(5/2)/x^10-23/792*b*c^3*Pi^(5/2)/x^8-113/4158*b*c^5*Pi^(5/2)/x^6-1/924*b*c^7*Pi^(5/2)/x^4+2/693*b*c^9*Pi^(5/2)/x^2-1/11*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/Pi/x^11+4/99*c^2*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/Pi/x^9-8/693*c^4*(Pi*c^2*x^2+Pi)^(7/2)*(a+b*arcsinh(c*x))/Pi/x^7+8/693*b*c^11*Pi^(5/2)*ln(x),1],
[x^5*(a+b*arcsinh(c*x))/sqrt(Pi*c^2*x^2+Pi),x,6,-8/15*b*x/c^5/sqrt(Pi)+4/45*b*x^3/c^3/sqrt(Pi)-1/25*b*x^5/c/sqrt(Pi)+8/15*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^6/Pi-4/15*x^2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^4/Pi+1/5*x^4*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^2/Pi,1],
[x^4*(a+b*arcsinh(c*x))/sqrt(Pi*c^2*x^2+Pi),x,5,3/16*b*x^2/c^3/sqrt(Pi)-1/16*b*x^4/c/sqrt(Pi)-3/8*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^4/Pi+1/4*x^3*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^2/Pi+3/16*(a+b*arcsinh(c*x))^2/b/c^5/sqrt(Pi),1],
[x^3*(a+b*arcsinh(c*x))/sqrt(Pi*c^2*x^2+Pi),x,4,2/3*b*x/c^3/sqrt(Pi)-1/9*b*x^3/c/sqrt(Pi)-2/3*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^4/Pi+1/3*x^2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^2/Pi,1],
[x^2*(a+b*arcsinh(c*x))/sqrt(Pi*c^2*x^2+Pi),x,3,-1/4*b*x^2/c/sqrt(Pi)+1/2*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^2/Pi-1/4*(a+b*arcsinh(c*x))^2/b/c^3/sqrt(Pi),1],
[x*(a+b*arcsinh(c*x))/sqrt(Pi*c^2*x^2+Pi),x,2,-b*x/c/sqrt(Pi)+sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^2/Pi,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))/x/sqrt(Pi*c^2*x^2+Pi),x,4,-2*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/sqrt(Pi)-b*polylog(2,-exp(arcsinh(c*x)))/sqrt(Pi)+b*polylog(2,exp(arcsinh(c*x)))/sqrt(Pi),1],
[(a+b*arcsinh(c*x))/x^2/sqrt(Pi*c^2*x^2+Pi),x,2,-sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/Pi/x+b*c*ln(x)/sqrt(Pi),1],
[(a+b*arcsinh(c*x))/x^3/sqrt(Pi*c^2*x^2+Pi),x,6,-1/2*b*c/sqrt(Pi)/x-1/2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/Pi/x^2+c^2*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/sqrt(Pi)+1/2*b*c^2*polylog(2,-exp(arcsinh(c*x)))/sqrt(Pi)-1/2*b*c^2*polylog(2,exp(arcsinh(c*x)))/sqrt(Pi),1],
[(a+b*arcsinh(c*x))/x^4/sqrt(Pi*c^2*x^2+Pi),x,4,-1/6*b*c/sqrt(Pi)/x^2-1/3*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/Pi/x^3+2/3*c^2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/Pi/x-2/3*b*c^3*ln(x)/sqrt(Pi),1],
[x^5*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(3/2),x,5,5/3*b*x/c^5/Pi^(3/2)-1/9*b*x^3/c^3/Pi^(3/2)-(a+b*arcsinh(c*x))/c^6/Pi/sqrt(Pi*c^2*x^2+Pi)-2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^6/Pi^2+1/3*(Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsinh(c*x))/c^6/Pi^3+b*arctan(c*x)/c^6/Pi^(3/2),1],
[x^4*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(3/2),x,7,-1/4*b*x^2/c^3/Pi^(3/2)-x^3*(a+b*arcsinh(c*x))/c^2/Pi/sqrt(Pi*c^2*x^2+Pi)+3/2*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^4/Pi^2-3/4*(a+b*arcsinh(c*x))^2/b/c^5/Pi^(3/2)-1/2*b*ln(c^2*x^2+1)/c^5/Pi^(3/2),1],
[x^3*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(3/2),x,4,-b*x/c^3/Pi^(3/2)+(a+b*arcsinh(c*x))/c^4/Pi/sqrt(Pi*c^2*x^2+Pi)+sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^4/Pi^2-b*arctan(c*x)/c^4/Pi^(3/2),1],
[x^2*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(3/2),x,3,-x*(a+b*arcsinh(c*x))/c^2/Pi/sqrt(Pi*c^2*x^2+Pi)+1/2*(a+b*arcsinh(c*x))^2/b/c^3/Pi^(3/2)+1/2*b*ln(c^2*x^2+1)/c^3/Pi^(3/2),1],
[x*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(3/2),x,2,-(a+b*arcsinh(c*x))/c^2/Pi/sqrt(Pi*c^2*x^2+Pi)+b*arctan(c*x)/c^2/Pi^(3/2),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))/x/(Pi*c^2*x^2+Pi)^(3/2),x,6,(a+b*arcsinh(c*x))/Pi/sqrt(Pi*c^2*x^2+Pi)-b*arctan(c*x)/Pi^(3/2)-2*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/Pi^(3/2)-b*polylog(2,-exp(arcsinh(c*x)))/Pi^(3/2)+b*polylog(2,exp(arcsinh(c*x)))/Pi^(3/2),1],
[(a+b*arcsinh(c*x))/x^2/(Pi*c^2*x^2+Pi)^(3/2),x,5,(a+b*arcsinh(c*x))/Pi/x/sqrt(Pi*c^2*x^2+Pi)-2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/Pi^2/x+b*c*ln(x)/Pi^(3/2)+1/2*b*c*ln(c^2*x^2+1)/Pi^(3/2),1],
[(a+b*arcsinh(c*x))/x^3/(Pi*c^2*x^2+Pi)^(3/2),x,9,-1/2*b*c/Pi^(3/2)/x-3/2*c^2*(a+b*arcsinh(c*x))/Pi/sqrt(Pi*c^2*x^2+Pi)-1/2*(a+b*arcsinh(c*x))/Pi/x^2/sqrt(Pi*c^2*x^2+Pi)+b*c^2*arctan(c*x)/Pi^(3/2)+3*c^2*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/Pi^(3/2)+3/2*b*c^2*polylog(2,-exp(arcsinh(c*x)))/Pi^(3/2)-3/2*b*c^2*polylog(2,exp(arcsinh(c*x)))/Pi^(3/2),1],
[(a+b*arcsinh(c*x))/x^4/(Pi*c^2*x^2+Pi)^(3/2),x,5,-1/6*b*c/Pi^(3/2)/x^2+(a+b*arcsinh(c*x))/Pi/x^3/sqrt(Pi*c^2*x^2+Pi)-4/3*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/Pi^2/x^3+8/3*c^2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/Pi^2/x-5/3*b*c^3*ln(x)/Pi^(3/2)-1/2*b*c^3*ln(c^2*x^2+1)/Pi^(3/2),1],
[x^6*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(5/2),x,11,-1/4*b*x^2/c^5/Pi^(5/2)-1/6*b/c^7/Pi^(5/2)/(c^2*x^2+1)-1/3*x^5*(a+b*arcsinh(c*x))/c^2/Pi/(Pi*c^2*x^2+Pi)^(3/2)-5/3*x^3*(a+b*arcsinh(c*x))/c^4/Pi^2/sqrt(Pi*c^2*x^2+Pi)+5/2*x*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^6/Pi^3-5/4*(a+b*arcsinh(c*x))^2/b/c^7/Pi^(5/2)-7/6*b*ln(c^2*x^2+1)/c^7/Pi^(5/2),1],
[x^5*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(5/2),x,5,-b*x/c^5/Pi^(5/2)+1/6*b*x/c^5/Pi^(5/2)/(c^2*x^2+1)-1/3*(a+b*arcsinh(c*x))/c^6/Pi/(Pi*c^2*x^2+Pi)^(3/2)+2*(a+b*arcsinh(c*x))/c^6/Pi^2/sqrt(Pi*c^2*x^2+Pi)+sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/c^6/Pi^3-11/6*b*arctan(c*x)/c^6/Pi^(5/2),1],
[x^4*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(5/2),x,7,1/6*b/c^5/Pi^(5/2)/(c^2*x^2+1)-1/3*x^3*(a+b*arcsinh(c*x))/c^2/Pi/(Pi*c^2*x^2+Pi)^(3/2)-x*(a+b*arcsinh(c*x))/c^4/Pi^2/sqrt(Pi*c^2*x^2+Pi)+1/2*(a+b*arcsinh(c*x))^2/b/c^5/Pi^(5/2)+2/3*b*ln(c^2*x^2+1)/c^5/Pi^(5/2),1],
[x^3*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(5/2),x,4,-1/6*b*x/c^3/Pi^(5/2)/(c^2*x^2+1)+1/3*(a+b*arcsinh(c*x))/c^4/Pi/(Pi*c^2*x^2+Pi)^(3/2)-(a+b*arcsinh(c*x))/c^4/Pi^2/sqrt(Pi*c^2*x^2+Pi)+5/6*b*arctan(c*x)/c^4/Pi^(5/2),1],
[x^2*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(5/2),x,4,-1/6*b/c^3/Pi^(5/2)/(c^2*x^2+1)+1/3*x^3*(a+b*arcsinh(c*x))/Pi/(Pi*c^2*x^2+Pi)^(3/2)-1/6*b*ln(c^2*x^2+1)/c^3/Pi^(5/2),1],
[x*(a+b*arcsinh(c*x))/(Pi*c^2*x^2+Pi)^(5/2),x,3,1/6*b*x/c/Pi^(5/2)/(c^2*x^2+1)-1/3*(a+b*arcsinh(c*x))/c^2/Pi/(Pi*c^2*x^2+Pi)^(3/2)+1/6*b*arctan(c*x)/c^2/Pi^(5/2),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))/x/(Pi*c^2*x^2+Pi)^(5/2),x,9,-1/6*b*c*x/Pi^(5/2)/(c^2*x^2+1)+1/3*(a+b*arcsinh(c*x))/Pi/(Pi*c^2*x^2+Pi)^(3/2)+(a+b*arcsinh(c*x))/Pi^2/sqrt(Pi*c^2*x^2+Pi)-7/6*b*arctan(c*x)/Pi^(5/2)-2*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/Pi^(5/2)-b*polylog(2,-exp(arcsinh(c*x)))/Pi^(5/2)+b*polylog(2,exp(arcsinh(c*x)))/Pi^(5/2),1],
[(a+b*arcsinh(c*x))/x^2/(Pi*c^2*x^2+Pi)^(5/2),x,5,-1/6*b*c/Pi^(5/2)/(c^2*x^2+1)+1/3*(a+b*arcsinh(c*x))/Pi/x/(Pi*c^2*x^2+Pi)^(3/2)+4/3*(a+b*arcsinh(c*x))/Pi^2/x/sqrt(Pi*c^2*x^2+Pi)-8/3*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/Pi^3/x+b*c*ln(x)/Pi^(5/2)+5/6*b*c*ln(c^2*x^2+1)/Pi^(5/2),1],
[(a+b*arcsinh(c*x))/x^3/(Pi*c^2*x^2+Pi)^(5/2),x,13,-1/2*b*c/Pi^(5/2)/x+1/6*b*c^3*x/Pi^(5/2)/(c^2*x^2+1)-5/6*c^2*(a+b*arcsinh(c*x))/Pi/(Pi*c^2*x^2+Pi)^(3/2)-1/2*(a+b*arcsinh(c*x))/Pi/x^2/(Pi*c^2*x^2+Pi)^(3/2)-5/2*c^2*(a+b*arcsinh(c*x))/Pi^2/sqrt(Pi*c^2*x^2+Pi)+13/6*b*c^2*arctan(c*x)/Pi^(5/2)+5*c^2*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/Pi^(5/2)+5/2*b*c^2*polylog(2,-exp(arcsinh(c*x)))/Pi^(5/2)-5/2*b*c^2*polylog(2,exp(arcsinh(c*x)))/Pi^(5/2),1],
[(a+b*arcsinh(c*x))/x^4/(Pi*c^2*x^2+Pi)^(5/2),x,7,-1/6*b*c/Pi^(5/2)/x^2+1/6*b*c^3/Pi^(5/2)/(c^2*x^2+1)+1/3*(a+b*arcsinh(c*x))/Pi/x^3/(Pi*c^2*x^2+Pi)^(3/2)+2*(a+b*arcsinh(c*x))/Pi^2/x^3/sqrt(Pi*c^2*x^2+Pi)-8/3*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/Pi^3/x^3+16/3*c^2*sqrt(Pi*c^2*x^2+Pi)*(a+b*arcsinh(c*x))/Pi^3/x-8/3*b*c^3*ln(x)/Pi^(5/2)-4/3*b*c^3*ln(c^2*x^2+1)/Pi^(5/2),1],
[x^4*arcsinh(a*x)/sqrt(a^2*x^2+1),x,5,3/16*x^2/a^3-1/16*x^4/a-3/8*x*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^4+1/4*x^3*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2+3/16*arcsinh(a*x)^2/a^5,1],
[x^3*arcsinh(a*x)/sqrt(a^2*x^2+1),x,4,2/3*x/a^3-1/9*x^3/a-2/3*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^4+1/3*x^2*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2,1],
[x^2*arcsinh(a*x)/sqrt(a^2*x^2+1),x,3,-1/4*x^2/a+1/2*x*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2-1/4*arcsinh(a*x)^2/a^3,1],
[x*arcsinh(a*x)/sqrt(a^2*x^2+1),x,2,-x/a+sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2,1],
[arcsinh(a*x)/sqrt(a^2*x^2+1),x,1,1/2*arcsinh(a*x)^2/a,1],
[arcsinh(a*x)/x/sqrt(a^2*x^2+1),x,4,-2*arcsinh(a*x)*arctanh(exp(arcsinh(a*x)))-polylog(2,-exp(arcsinh(a*x)))+polylog(2,exp(arcsinh(a*x))),1],
[arcsinh(a*x)/x^2/sqrt(a^2*x^2+1),x,2,-sqrt(a^2*x^2+1)*arcsinh(a*x)/x+a*ln(x),1],
[arcsinh(a*x)/x^3/sqrt(a^2*x^2+1),x,6,-1/2*a/x-1/2*sqrt(a^2*x^2+1)*arcsinh(a*x)/x^2+a^2*arcsinh(a*x)*arctanh(exp(arcsinh(a*x)))+1/2*a^2*polylog(2,-exp(arcsinh(a*x)))-1/2*a^2*polylog(2,exp(arcsinh(a*x))),1],
[x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,4,2/15*b*x*sqrt(c^2*d*x^2+d)/c^3/sqrt(c^2*x^2+1)-1/45*b*x^3*sqrt(c^2*d*x^2+d)/c/sqrt(c^2*x^2+1)-1/25*b*c*x^5*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/c^4/d+1/5*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/c^4/d^2,1],
[x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,6,-1/16*b*x^2*sqrt(c^2*d*x^2+d)/c/sqrt(c^2*x^2+1)-1/16*b*c*x^4*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+1/8*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^2+1/4*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))-1/16*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/c^3/sqrt(c^2*x^2+1),1],
[x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,3,-1/3*b*x*sqrt(c^2*d*x^2+d)/c/sqrt(c^2*x^2+1)-1/9*b*c*x^3*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+1/3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/c^2/d,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],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x,x,7,-b*c*x*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))-2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-b*sqrt(c^2*d*x^2+d)*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+b*sqrt(c^2*d*x^2+d)*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^2,x,4,-sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x+1/2*c*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/sqrt(c^2*x^2+1)+b*c*sqrt(c^2*d*x^2+d)*ln(x)/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^3,x,7,-1/2*b*c*sqrt(c^2*d*x^2+d)/x/sqrt(c^2*x^2+1)-1/2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^2-c^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-1/2*b*c^2*sqrt(c^2*d*x^2+d)*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+1/2*b*c^2*sqrt(c^2*d*x^2+d)*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^4,x,5,-1/6*b*c*sqrt(c^2*d*x^2+d)/x^2/sqrt(c^2*x^2+1)-1/3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/d/x^3+1/3*b*c^3*sqrt(c^2*d*x^2+d)*ln(x)/sqrt(c^2*x^2+1),1],
[x^3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x)),x,5,2/35*b*d*x*sqrt(c^2*d*x^2+d)/c^3/sqrt(c^2*x^2+1)-1/105*b*d*x^3*sqrt(c^2*d*x^2+d)/c/sqrt(c^2*x^2+1)-8/175*b*c*d*x^5*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/49*b*c^3*d*x^7*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/5*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/c^4/d+1/7*(c^2*d*x^2+d)^(7/2)*(a+b*arcsinh(c*x))/c^4/d^2,1],
[x^2*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x)),x,10,-1/32*b*d*x^2*sqrt(c^2*d*x^2+d)/c/sqrt(c^2*x^2+1)-7/96*b*c*d*x^4*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/36*b*c^3*d*x^6*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+1/16*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^2+1/8*d*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))+1/6*x^3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))-1/32*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/c^3/sqrt(c^2*x^2+1),1],
[x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x)),x,4,-1/5*b*d*x*sqrt(c^2*d*x^2+d)/c/sqrt(c^2*x^2+1)-2/15*b*c*d*x^3*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/25*b*c^3*d*x^5*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+1/5*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/c^2/d,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],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/x,x,9,-4/3*b*c*d*x*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/9*b*c^3*d*x^3*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+1/3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))+sqrt(c^2*d*x^2+d)*(a*d+b*d*arcsinh(c*x))-2*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-b*d*sqrt(c^2*d*x^2+d)*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+b*d*sqrt(c^2*d*x^2+d)*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/x^2,x,8,-1/4*b*c^3*d*x^2*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+3/2*c^2*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))-(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/x+3/4*c*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/sqrt(c^2*x^2+1)+b*c*d*sqrt(c^2*d*x^2+d)*ln(x)/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/x^3,x,10,-1/2*b*c*d*sqrt(c^2*d*x^2+d)/x/sqrt(c^2*x^2+1)-b*c^3*d*x*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+3/2*c^2*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))-1/2*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/x^2-3*c^2*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-3/2*b*c^2*d*sqrt(c^2*d*x^2+d)*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+3/2*b*c^2*d*sqrt(c^2*d*x^2+d)*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/x^4,x,8,-1/6*b*c*d*sqrt(c^2*d*x^2+d)/x^2/sqrt(c^2*x^2+1)-c^2*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x-1/3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/x^3+1/2*c^3*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/sqrt(c^2*x^2+1)+4/3*b*c^3*d*sqrt(c^2*d*x^2+d)*ln(x)/sqrt(c^2*x^2+1),1],
[x^3*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x,5,2/63*b*d^2*x*sqrt(c^2*d*x^2+d)/c^3/sqrt(c^2*x^2+1)-1/189*b*d^2*x^3*sqrt(c^2*d*x^2+d)/c/sqrt(c^2*x^2+1)-1/21*b*c*d^2*x^5*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-19/441*b*c^3*d^2*x^7*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/81*b*c^5*d^2*x^9*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/7*(c^2*d*x^2+d)^(7/2)*(a+b*arcsinh(c*x))/c^4/d+1/9*(c^2*d*x^2+d)^(9/2)*(a+b*arcsinh(c*x))/c^4/d^2,1],
[x^2*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x,14,-5/256*b*d^2*x^2*sqrt(c^2*d*x^2+d)/c/sqrt(c^2*x^2+1)-59/768*b*c*d^2*x^4*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-17/288*b*c^3*d^2*x^6*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/64*b*c^5*d^2*x^8*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+5/128*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^2+5/64*d^2*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))+5/48*d*x^3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))+1/8*x^3*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))-5/256*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/c^3/sqrt(c^2*x^2+1),1],
[x*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x,4,-1/7*b*d^2*x*sqrt(c^2*d*x^2+d)/c/sqrt(c^2*x^2+1)-1/7*b*c*d^2*x^3*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-3/35*b*c^3*d^2*x^5*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/49*b*c^5*d^2*x^7*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+1/7*(c^2*d*x^2+d)^(7/2)*(a+b*arcsinh(c*x))/c^2/d,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)^(5/2)*(a+b*arcsinh(c*x))/x,x,12,-23/15*b*c*d^2*x*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-11/45*b*c^3*d^2*x^3*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/25*b*c^5*d^2*x^5*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+1/3*d*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))+1/5*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))+sqrt(c^2*d*x^2+d)*(a*d^2+b*d^2*arcsinh(c*x))-2*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-b*d^2*sqrt(c^2*d*x^2+d)*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+b*d^2*sqrt(c^2*d*x^2+d)*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/x^2,x,10,1/16*b*c^3*d^2*x^2*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+1/4*b*c^5*d^2*x^4*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-5/16*b*c*d^2*(c^2*x^2+1)^(3/2)*sqrt(c^2*d*x^2+d)+15/8*c^2*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))+5/4*c^2*d*x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))-(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/x+15/16*c*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/sqrt(c^2*x^2+1)+b*c*d^2*sqrt(c^2*d*x^2+d)*ln(x)/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/x^3,x,12,-1/2*b*c*d^2*sqrt(c^2*d*x^2+d)/x/sqrt(c^2*x^2+1)-7/3*b*c^3*d^2*x*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-1/9*b*c^5*d^2*x^3*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+5/2*c^2*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))+5/6*c^2*d*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))-1/2*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/x^2-5*c^2*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-5/2*b*c^2*d^2*sqrt(c^2*d*x^2+d)*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+5/2*b*c^2*d^2*sqrt(c^2*d*x^2+d)*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/x^4,x,12,-1/6*b*c*d^2*sqrt(c^2*d*x^2+d)/x^2/sqrt(c^2*x^2+1)-1/4*b*c^5*d^2*x^2*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+5/2*c^4*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))-5/3*c^2*d*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/x-1/3*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/x^3+5/4*c^3*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/b/sqrt(c^2*x^2+1)+7/3*b*c^3*d^2*sqrt(c^2*d*x^2+d)*ln(x)/sqrt(c^2*x^2+1),1],
[x^5*(a+b*arcsinh(c*x))/sqrt(c^2*d*x^2+d),x,7,-8/15*b*x*sqrt(c^2*x^2+1)/c^5/sqrt(c^2*d*x^2+d)+4/45*b*x^3*sqrt(c^2*x^2+1)/c^3/sqrt(c^2*d*x^2+d)-1/25*b*x^5*sqrt(c^2*x^2+1)/c/sqrt(c^2*d*x^2+d)+8/15*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^6/d-4/15*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^4/d+1/5*x^4*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^2/d,1],
[x^4*(a+b*arcsinh(c*x))/sqrt(c^2*d*x^2+d),x,6,3/16*b*x^2*sqrt(c^2*x^2+1)/c^3/sqrt(c^2*d*x^2+d)-1/16*b*x^4*sqrt(c^2*x^2+1)/c/sqrt(c^2*d*x^2+d)-3/8*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^4/d+1/4*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^2/d+3/16*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c^5/sqrt(c^2*d*x^2+d),1],
[x^3*(a+b*arcsinh(c*x))/sqrt(c^2*d*x^2+d),x,5,2/3*b*x*sqrt(c^2*x^2+1)/c^3/sqrt(c^2*d*x^2+d)-1/9*b*x^3*sqrt(c^2*x^2+1)/c/sqrt(c^2*d*x^2+d)-2/3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^4/d+1/3*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^2/d,1],
[x^2*(a+b*arcsinh(c*x))/sqrt(c^2*d*x^2+d),x,4,-1/4*b*x^2*sqrt(c^2*x^2+1)/c/sqrt(c^2*d*x^2+d)+1/2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^2/d-1/4*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c^3/sqrt(c^2*d*x^2+d),1],
[x*(a+b*arcsinh(c*x))/sqrt(c^2*d*x^2+d),x,3,-b*x*sqrt(c^2*x^2+1)/c/sqrt(c^2*d*x^2+d)+sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^2/d,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))/x/sqrt(c^2*d*x^2+d),x,5,-2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)-b*sqrt(c^2*x^2+1)*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)+b*sqrt(c^2*x^2+1)*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/x^2/sqrt(c^2*d*x^2+d),x,3,-sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/d/x+b*c*sqrt(c^2*x^2+1)*ln(x)/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/x^3/sqrt(c^2*d*x^2+d),x,7,-1/2*b*c*sqrt(c^2*x^2+1)/x/sqrt(c^2*d*x^2+d)-1/2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/d/x^2+c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)+1/2*b*c^2*sqrt(c^2*x^2+1)*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)-1/2*b*c^2*sqrt(c^2*x^2+1)*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/x^4/sqrt(c^2*d*x^2+d),x,5,-1/6*b*c*sqrt(c^2*x^2+1)/x^2/sqrt(c^2*d*x^2+d)-1/3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/d/x^3+2/3*c^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/d/x-2/3*b*c^3*sqrt(c^2*x^2+1)*ln(x)/sqrt(c^2*d*x^2+d),1],
[x^5*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x,5,5/3*b*x*sqrt(c^2*x^2+1)/c^5/d/sqrt(c^2*d*x^2+d)-1/9*b*x^3*sqrt(c^2*x^2+1)/c^3/d/sqrt(c^2*d*x^2+d)-(a+b*arcsinh(c*x))/c^6/d/sqrt(c^2*d*x^2+d)-2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^6/d^2+1/3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/c^6/d^3+b*sqrt(c^2*x^2+1)*arctan(c*x)/c^6/d/sqrt(c^2*d*x^2+d),1],
[x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x,8,-1/4*b*x^2*sqrt(c^2*x^2+1)/c^3/d/sqrt(c^2*d*x^2+d)-x^3*(a+b*arcsinh(c*x))/c^2/d/sqrt(c^2*d*x^2+d)+3/2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^4/d^2-3/4*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c^5/d/sqrt(c^2*d*x^2+d)-1/2*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c^5/d/sqrt(c^2*d*x^2+d),1],
[x^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x,4,-b*x*sqrt(c^2*x^2+1)/c^3/d/sqrt(c^2*d*x^2+d)+(a+b*arcsinh(c*x))/c^4/d/sqrt(c^2*d*x^2+d)+sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^4/d^2-b*sqrt(c^2*x^2+1)*arctan(c*x)/c^4/d/sqrt(c^2*d*x^2+d),1],
[x^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x,4,-x*(a+b*arcsinh(c*x))/c^2/d/sqrt(c^2*d*x^2+d)+1/2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c^3/d/sqrt(c^2*d*x^2+d)+1/2*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c^3/d/sqrt(c^2*d*x^2+d),1],
[x*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x,3,-(a+b*arcsinh(c*x))/c^2/d/sqrt(c^2*d*x^2+d)+b*sqrt(c^2*x^2+1)*arctan(c*x)/c^2/d/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))/x/(c^2*d*x^2+d)^(3/2),x,7,(a/d+b*arcsinh(c*x)/d)/sqrt(c^2*d*x^2+d)-b*sqrt(c^2*x^2+1)*arctan(c*x)/d/sqrt(c^2*d*x^2+d)-2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-b*sqrt(c^2*x^2+1)*polylog(2,-exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+b*sqrt(c^2*x^2+1)*polylog(2,exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/x^2/(c^2*d*x^2+d)^(3/2),x,5,(a+b*arcsinh(c*x))/d/x/sqrt(c^2*d*x^2+d)-2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/d^2/x+b*c*sqrt(c^2*x^2+1)*ln(x)/d/sqrt(c^2*d*x^2+d)+1/2*b*c*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/d/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/x^3/(c^2*d*x^2+d)^(3/2),x,10,-1/2*b*c*sqrt(c^2*x^2+1)/d/x/sqrt(c^2*d*x^2+d)-3/2*c^2*(a+b*arcsinh(c*x))/d/sqrt(c^2*d*x^2+d)-1/2*(a+b*arcsinh(c*x))/d/x^2/sqrt(c^2*d*x^2+d)+b*c^2*sqrt(c^2*x^2+1)*arctan(c*x)/d/sqrt(c^2*d*x^2+d)+3*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+3/2*b*c^2*sqrt(c^2*x^2+1)*polylog(2,-exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-3/2*b*c^2*sqrt(c^2*x^2+1)*polylog(2,exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/x^4/(c^2*d*x^2+d)^(3/2),x,6,-1/6*b*c*sqrt(c^2*x^2+1)/d/x^2/sqrt(c^2*d*x^2+d)+(a+b*arcsinh(c*x))/d/x^3/sqrt(c^2*d*x^2+d)-4/3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/d^2/x^3+8/3*c^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/d^2/x-5/3*b*c^3*sqrt(c^2*x^2+1)*ln(x)/d/sqrt(c^2*d*x^2+d)-1/2*b*c^3*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/d/sqrt(c^2*d*x^2+d),1],
[x^6*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x,12,-1/6*b/c^7/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-1/4*b*x^2*sqrt(c^2*x^2+1)/c^5/d^2/sqrt(c^2*d*x^2+d)-1/3*x^5*(a+b*arcsinh(c*x))/c^2/d/(c^2*d*x^2+d)^(3/2)-5/3*x^3*(a+b*arcsinh(c*x))/c^4/d^2/sqrt(c^2*d*x^2+d)+5/2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^6/d^3-5/4*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c^7/d^2/sqrt(c^2*d*x^2+d)-7/6*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c^7/d^2/sqrt(c^2*d*x^2+d),1],
[x^5*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x,6,1/6*b*x/c^5/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-b*x*sqrt(c^2*x^2+1)/c^5/d^2/sqrt(c^2*d*x^2+d)-1/3*(a+b*arcsinh(c*x))/c^6/d/(c^2*d*x^2+d)^(3/2)+2*(a+b*arcsinh(c*x))/c^6/d^2/sqrt(c^2*d*x^2+d)+sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^6/d^3-11/6*b*sqrt(c^2*x^2+1)*arctan(c*x)/c^6/d^2/sqrt(c^2*d*x^2+d),1],
[x^4*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x,8,1/6*b/c^5/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-1/3*x^3*(a+b*arcsinh(c*x))/c^2/d/(c^2*d*x^2+d)^(3/2)-x*(a+b*arcsinh(c*x))/c^4/d^2/sqrt(c^2*d*x^2+d)+1/2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/b/c^5/d^2/sqrt(c^2*d*x^2+d)+2/3*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c^5/d^2/sqrt(c^2*d*x^2+d),1],
[x^3*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x,5,-1/6*b*x/c^3/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)+1/3*(a+b*arcsinh(c*x))/c^4/d/(c^2*d*x^2+d)^(3/2)-(a+b*arcsinh(c*x))/c^4/d^2/sqrt(c^2*d*x^2+d)+5/6*b*sqrt(c^2*x^2+1)*arctan(c*x)/c^4/d^2/sqrt(c^2*d*x^2+d),1],
[x^2*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x,5,-1/6*b/c^3/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)+1/3*x^3*(a+b*arcsinh(c*x))/d/(c^2*d*x^2+d)^(3/2)-1/6*b*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/c^3/d^2/sqrt(c^2*d*x^2+d),1],
[x*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x,4,1/6*b*x/c/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-1/3*(a+b*arcsinh(c*x))/c^2/d/(c^2*d*x^2+d)^(3/2)+1/6*b*sqrt(c^2*x^2+1)*arctan(c*x)/c^2/d^2/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))/x/(c^2*d*x^2+d)^(5/2),x,10,-1/6*b*c*x/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)+1/3*(a+b*arcsinh(c*x))/d/(c^2*d*x^2+d)^(3/2)+(a/d^2+b*arcsinh(c*x)/d^2)/sqrt(c^2*d*x^2+d)-7/6*b*sqrt(c^2*x^2+1)*arctan(c*x)/d^2/sqrt(c^2*d*x^2+d)-2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-b*sqrt(c^2*x^2+1)*polylog(2,-exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+b*sqrt(c^2*x^2+1)*polylog(2,exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/x^2/(c^2*d*x^2+d)^(5/2),x,6,-1/6*b*c/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)+1/3*(a+b*arcsinh(c*x))/d/x/(c^2*d*x^2+d)^(3/2)+4/3*(a+b*arcsinh(c*x))/d^2/x/sqrt(c^2*d*x^2+d)-8/3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/d^3/x+b*c*sqrt(c^2*x^2+1)*ln(x)/d^2/sqrt(c^2*d*x^2+d)+5/6*b*c*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/d^2/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/x^3/(c^2*d*x^2+d)^(5/2),x,14,1/6*b*c^3*x/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-1/2*b*c*sqrt(c^2*x^2+1)/d^2/x/sqrt(c^2*d*x^2+d)-5/6*c^2*(a+b*arcsinh(c*x))/d/(c^2*d*x^2+d)^(3/2)-1/2*(a+b*arcsinh(c*x))/d/x^2/(c^2*d*x^2+d)^(3/2)-5/2*c^2*(a+b*arcsinh(c*x))/d^2/sqrt(c^2*d*x^2+d)+13/6*b*c^2*sqrt(c^2*x^2+1)*arctan(c*x)/d^2/sqrt(c^2*d*x^2+d)+5*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+5/2*b*c^2*sqrt(c^2*x^2+1)*polylog(2,-exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-5/2*b*c^2*sqrt(c^2*x^2+1)*polylog(2,exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))/x^4/(c^2*d*x^2+d)^(5/2),x,8,1/6*b*c^3/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-1/6*b*c*sqrt(c^2*x^2+1)/d^2/x^2/sqrt(c^2*d*x^2+d)+1/3*(a+b*arcsinh(c*x))/d/x^3/(c^2*d*x^2+d)^(3/2)+2*(a+b*arcsinh(c*x))/d^2/x^3/sqrt(c^2*d*x^2+d)-8/3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/d^3/x^3+16/3*c^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/d^3/x-8/3*b*c^3*sqrt(c^2*x^2+1)*ln(x)/d^2/sqrt(c^2*d*x^2+d)-4/3*b*c^3*sqrt(c^2*x^2+1)*ln(c^2*x^2+1)/d^2/sqrt(c^2*d*x^2+d),1],
[x^4*arcsinh(a*x)/sqrt(a^2*x^2+1),x,5,3/16*x^2/a^3-1/16*x^4/a-3/8*x*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^4+1/4*x^3*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2+3/16*arcsinh(a*x)^2/a^5,1],
[x^3*arcsinh(a*x)/sqrt(a^2*x^2+1),x,4,2/3*x/a^3-1/9*x^3/a-2/3*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^4+1/3*x^2*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2,1],
[x^2*arcsinh(a*x)/sqrt(a^2*x^2+1),x,3,-1/4*x^2/a+1/2*x*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2-1/4*arcsinh(a*x)^2/a^3,1],
[x*arcsinh(a*x)/sqrt(a^2*x^2+1),x,2,-x/a+sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2,1],
[arcsinh(a*x)/sqrt(a^2*x^2+1),x,1,1/2*arcsinh(a*x)^2/a,1],
[arcsinh(a*x)/x/sqrt(a^2*x^2+1),x,4,-2*arcsinh(a*x)*arctanh(exp(arcsinh(a*x)))-polylog(2,-exp(arcsinh(a*x)))+polylog(2,exp(arcsinh(a*x))),1],
[arcsinh(a*x)/x^2/sqrt(a^2*x^2+1),x,2,-sqrt(a^2*x^2+1)*arcsinh(a*x)/x+a*ln(x),1],
[arcsinh(a*x)/x^3/sqrt(a^2*x^2+1),x,6,-1/2*a/x-1/2*sqrt(a^2*x^2+1)*arcsinh(a*x)/x^2+a^2*arcsinh(a*x)*arctanh(exp(arcsinh(a*x)))+1/2*a^2*polylog(2,-exp(arcsinh(a*x)))-1/2*a^2*polylog(2,exp(arcsinh(a*x))),1],
[x^3*(c^2*x^2+1)^(1/3)*(a+b*arcsinh(c*x)),x,0,Defer(Int)(x^3*(c^2*x^2+1)^(1/3)*(a+b*arcsinh(c*x)),x),0],
[x^2*(c^2*x^2+1)^(1/3)*(a+b*arcsinh(c*x)),x,0,Defer(Int)(x^2*(c^2*x^2+1)^(1/3)*(a+b*arcsinh(c*x)),x),0],
[x*(c^2*x^2+1)^(1/3)*(a+b*arcsinh(c*x)),x,0,Defer(Int)(x*(c^2*x^2+1)^(1/3)*(a+b*arcsinh(c*x)),x),0],
[(c^2*x^2+1)^(1/3)*(a+b*arcsinh(c*x))/x,x,0,Defer(Int)((c^2*x^2+1)^(1/3)*(a+b*arcsinh(c*x))/x,x),0],
[(c^2*x^2+1)^(1/3)*(a+b*arcsinh(c*x))/x^2,x,0,Defer(Int)((c^2*x^2+1)^(1/3)*(a+b*arcsinh(c*x))/x^2,x),0],
[x^m*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x)),x,6,-b*c*d^3*(m^4+27*m^3+284*m^2+1329*m+2271)*x^(2+m)*sqrt(c^2*x^2+1)/(3+m)^2/(5+m)^2/(7+m)^2-b*c^3*d^3*(9+m)*(13+2*m)*x^(4+m)*sqrt(c^2*x^2+1)/(5+m)^2/(7+m)^2-b*c^5*d^3*x^(6+m)*sqrt(c^2*x^2+1)/(7+m)^2+d^3*x^(1+m)*(a+b*arcsinh(c*x))/(1+m)+3*c^2*d^3*x^(3+m)*(a+b*arcsinh(c*x))/(3+m)+3*c^4*d^3*x^(5+m)*(a+b*arcsinh(c*x))/(5+m)+c^6*d^3*x^(7+m)*(a+b*arcsinh(c*x))/(7+m)-3*b*c*d^3*(35*m^3+455*m^2+1813*m+2161)*x^(2+m)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(1+m)/(2+m)/(3+m)^2/(5+m)^2/(7+m)^2,1],
[x^m*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x)),x,5,-b*c*d^2*(m^2+13*m+38)*x^(2+m)*sqrt(c^2*x^2+1)/(3+m)^2/(5+m)^2-b*c^3*d^2*x^(4+m)*sqrt(c^2*x^2+1)/(5+m)^2+d^2*x^(1+m)*(a+b*arcsinh(c*x))/(1+m)+2*c^2*d^2*x^(3+m)*(a+b*arcsinh(c*x))/(3+m)+c^4*d^2*x^(5+m)*(a+b*arcsinh(c*x))/(5+m)-b*c*d^2*(15*m^2+100*m+149)*x^(2+m)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(1+m)/(2+m)/(3+m)^2/(5+m)^2,1],
[x^m*(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,4,-b*c*d*x^(2+m)*sqrt(c^2*x^2+1)/(3+m)^2+d*x^(1+m)*(a+b*arcsinh(c*x))/(1+m)+c^2*d*x^(3+m)*(a+b*arcsinh(c*x))/(3+m)-b*c*d*(7+3*m)*x^(2+m)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(1+m)/(2+m)/(3+m)^2,1],
[x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x,0,Defer(Int)(x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d),x),0],
[x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x,0,Defer(Int)(x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^2,x),0],
[x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x,0,Defer(Int)(x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^3,x),0],
[x^m*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x)),x,10,-15*b*c*d^2*x^(2+m)*sqrt(c^2*d*x^2+d)/(2+m)^2/(4+m)/(6+m)/sqrt(c^2*x^2+1)-5*b*c*d^2*x^(2+m)*sqrt(c^2*d*x^2+d)/(6+m)/(m^2+6*m+8)/sqrt(c^2*x^2+1)-b*c*d^2*x^(2+m)*sqrt(c^2*d*x^2+d)/(m^2+8*m+12)/sqrt(c^2*x^2+1)-5*b*c^3*d^2*x^(4+m)*sqrt(c^2*d*x^2+d)/(4+m)^2/(6+m)/sqrt(c^2*x^2+1)-2*b*c^3*d^2*x^(4+m)*sqrt(c^2*d*x^2+d)/(4+m)/(6+m)/sqrt(c^2*x^2+1)-b*c^5*d^2*x^(6+m)*sqrt(c^2*d*x^2+d)/(6+m)^2/sqrt(c^2*x^2+1)+15*d^2*x^(1+m)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/(6+m)/(m^2+6*m+8)+5*d*x^(1+m)*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/(4+m)/(6+m)+x^(1+m)*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))/(6+m)+15*d^2*x^(1+m)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-c^2*x^2)/(6+m)/(m^3+7*m^2+14*m+8)/sqrt(c^2*x^2+1)-15*b*c*d^2*x^(2+m)*sqrt(c^2*d*x^2+d)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],-c^2*x^2)/(1+m)/(2+m)^2/(4+m)/(6+m)/sqrt(c^2*x^2+1),1],
[x^m*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x)),x,7,-3*b*c*d*x^(2+m)*sqrt(c^2*d*x^2+d)/(2+m)^2/(4+m)/sqrt(c^2*x^2+1)-b*c*d*x^(2+m)*sqrt(c^2*d*x^2+d)/(m^2+6*m+8)/sqrt(c^2*x^2+1)-b*c^3*d*x^(4+m)*sqrt(c^2*d*x^2+d)/(4+m)^2/sqrt(c^2*x^2+1)+3*d*x^(1+m)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/(m^2+6*m+8)+x^(1+m)*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))/(4+m)+3*d*x^(1+m)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-c^2*x^2)/(m^3+7*m^2+14*m+8)/sqrt(c^2*x^2+1)-3*b*c*d*x^(2+m)*sqrt(c^2*d*x^2+d)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],-c^2*x^2)/(1+m)/(2+m)^2/(4+m)/sqrt(c^2*x^2+1),1],
[x^m*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x)),x,4,-b*c*x^(2+m)*sqrt(c^2*d*x^2+d)/(2+m)^2/sqrt(c^2*x^2+1)+x^(1+m)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/(2+m)+x^(1+m)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-c^2*x^2)/(m^2+3*m+2)/sqrt(c^2*x^2+1)-b*c*x^(2+m)*sqrt(c^2*d*x^2+d)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],-c^2*x^2)/(1+m)/(2+m)^2/sqrt(c^2*x^2+1),1],
[x^m*(a+b*arcsinh(c*x))/sqrt(c^2*d*x^2+d),x,2,x^(1+m)*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-c^2*x^2)/(1+m)/sqrt(c^2*d*x^2+d)-b*c*x^(2+m)*sqrt(c^2*x^2+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],-c^2*x^2)/(m^2+3*m+2)/sqrt(c^2*d*x^2+d),1],
[x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(3/2),x,4,x^(1+m)*(a+b*arcsinh(c*x))/d/sqrt(c^2*d*x^2+d)-m*x^(1+m)*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-c^2*x^2)/d/(1+m)/sqrt(c^2*d*x^2+d)-b*c*x^(2+m)*sqrt(c^2*x^2+1)*hypergeom([1, 1+1/2*m],[2+1/2*m],-c^2*x^2)/d/(2+m)/sqrt(c^2*d*x^2+d)+b*c*m*x^(2+m)*sqrt(c^2*x^2+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],-c^2*x^2)/d/(m^2+3*m+2)/sqrt(c^2*d*x^2+d),1],
[x^m*(a+b*arcsinh(c*x))/(c^2*d*x^2+d)^(5/2),x,6,1/3*x^(1+m)*(a+b*arcsinh(c*x))/d/(c^2*d*x^2+d)^(3/2)+1/3*(2-m)*x^(1+m)*(a+b*arcsinh(c*x))/d^2/sqrt(c^2*d*x^2+d)-1/3*(2-m)*m*x^(1+m)*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-c^2*x^2)/d^2/(1+m)/sqrt(c^2*d*x^2+d)-1/3*b*c*(2-m)*x^(2+m)*sqrt(c^2*x^2+1)*hypergeom([1, 1+1/2*m],[2+1/2*m],-c^2*x^2)/d^2/(2+m)/sqrt(c^2*d*x^2+d)-1/3*b*c*x^(2+m)*sqrt(c^2*x^2+1)*hypergeom([2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/d^2/(2+m)/sqrt(c^2*d*x^2+d)+1/3*b*c*(2-m)*m*x^(2+m)*sqrt(c^2*x^2+1)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],-c^2*x^2)/d^2/(m^2+3*m+2)/sqrt(c^2*d*x^2+d),1],
[x^m*arcsinh(a*x)/sqrt(a^2*x^2+1),x,1,x^(1+m)*arcsinh(a*x)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],-a^2*x^2)/(1+m)-a*x^(2+m)*hypergeom([1, 1+1/2*m, 1+1/2*m],[3/2+1/2*m, 2+1/2*m],-a^2*x^2)/(m^2+3*m+2),1],
[x^4*(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,11,304/3675*b^2*d*x/c^4-152/11025*b^2*d*x^3/c^2+38/6125*b^2*d*x^5+2/343*b^2*c^2*d*x^7-32/525*b*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5+16/525*b*d*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-4/175*b*d*x^4*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-2/21*b*d*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c^5+4/35*b*d*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c^5-2/49*b*d*(c^2*x^2+1)^(7/2)*(a+b*arcsinh(c*x))/c^5+2/35*d*x^5*(a+b*arcsinh(c*x))^2+1/7*d*x^5*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2,1],
[x^3*(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,14,-1/24*b^2*d*x^2/c^2+1/72*b^2*d*x^4+1/108*b^2*c^2*d*x^6+1/12*b*d*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-1/18*b*d*x^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-1/18*b*c*d*x^5*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))-1/24*d*(a+b*arcsinh(c*x))^2/c^4+1/12*d*x^4*(a+b*arcsinh(c*x))^2+1/6*d*x^4*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2,1],
[x^2*(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,9,-52/225*b^2*d*x/c^2+26/675*b^2*d*x^3+2/125*b^2*c^2*d*x^5+8/45*b*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-4/45*b*d*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+2/15*b*d*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c^3-2/25*b*d*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c^3+2/15*d*x^3*(a+b*arcsinh(c*x))^2+1/5*d*x^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2,1],
[x*(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,6,3/32*b^2*d*x^2+1/32*b^2*d*(c^2*x^2+1)^2/c^2-3/16*b*d*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-1/8*b*d*x*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c-3/32*d*(a+b*arcsinh(c*x))^2/c^2+1/4*d*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/c^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],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x,x,8,1/4*b^2*c^2*d*x^2-1/2*b*c*d*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))-1/4*d*(a+b*arcsinh(c*x))^2+1/2*d*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2-1/3*d*(a+b*arcsinh(c*x))^3/b+d*(a+b*arcsinh(c*x))^2*ln(1-exp(2*arcsinh(c*x)))+b*d*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))-1/2*b^2*d*polylog(3,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x^2,x,10,2*b^2*c^2*d*x-2*b*c*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))+2*c^2*d*x*(a+b*arcsinh(c*x))^2-d*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/x-4*b*c*d*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-2*b^2*c*d*polylog(2,-exp(arcsinh(c*x)))+2*b^2*c*d*polylog(2,exp(arcsinh(c*x))),1],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x^3,x,8,-b*c*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/x+1/2*c^2*d*(a+b*arcsinh(c*x))^2-1/2*d*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/x^2-1/3*c^2*d*(a+b*arcsinh(c*x))^3/b+c^2*d*(a+b*arcsinh(c*x))^2*ln(1-exp(2*arcsinh(c*x)))+b^2*c^2*d*ln(x)+b*c^2*d*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))-1/2*b^2*c^2*d*polylog(3,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x^4,x,12,-1/3*b^2*c^2*d/x-1/3*b*c*d*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/x^2-2/3*c^2*d*(a+b*arcsinh(c*x))^2/x-1/3*d*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/x^3-10/3*b*c^3*d*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-5/3*b^2*c^3*d*polylog(2,-exp(arcsinh(c*x)))+5/3*b^2*c^3*d*polylog(2,exp(arcsinh(c*x))),1],
[x^4*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x,16,4208/99225*b^2*d^2*x/c^4-2104/297675*b^2*d^2*x^3/c^2+526/165375*b^2*d^2*x^5+212/27783*b^2*c^2*d^2*x^7+2/729*b^2*c^4*d^2*x^9-128/4725*b*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5+64/4725*b*d^2*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-16/1575*b*d^2*x^4*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-8/189*b*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c^5+2/315*b*d^2*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c^5+20/441*b*d^2*(c^2*x^2+1)^(7/2)*(a+b*arcsinh(c*x))/c^5-2/81*b*d^2*(c^2*x^2+1)^(9/2)*(a+b*arcsinh(c*x))/c^5+8/315*d^2*x^5*(a+b*arcsinh(c*x))^2+4/63*d^2*x^5*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+1/9*d^2*x^5*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2,1],
[x^3*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x,26,-73/3072*b^2*d^2*x^2/c^2+73/9216*b^2*d^2*x^4+43/3456*b^2*c^2*d^2*x^6+1/256*b^2*c^4*d^2*x^8+73/1536*b*d^2*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-73/2304*b*d^2*x^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-25/576*b*c*d^2*x^5*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))-1/32*b*c*d^2*x^5*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))-73/3072*d^2*(a+b*arcsinh(c*x))^2/c^4+1/24*d^2*x^4*(a+b*arcsinh(c*x))^2+1/12*d^2*x^4*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+1/8*d^2*x^4*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2,1],
[x^2*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x,14,-1636/11025*b^2*d^2*x/c^2+818/33075*b^2*d^2*x^3+136/6125*b^2*c^2*d^2*x^5+2/343*b^2*c^4*d^2*x^7+32/315*b*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-16/315*b*d^2*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+8/105*b*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c^3+2/175*b*d^2*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c^3-2/49*b*d^2*(c^2*x^2+1)^(7/2)*(a+b*arcsinh(c*x))/c^3+8/105*d^2*x^3*(a+b*arcsinh(c*x))^2+4/35*d^2*x^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+1/7*d^2*x^3*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2,1],
[x*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x,8,5/96*b^2*d^2*x^2+5/288*b^2*d^2*(c^2*x^2+1)^2/c^2+1/108*b^2*d^2*(c^2*x^2+1)^3/c^2-5/48*b*d^2*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-5/72*b*d^2*x*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c-1/18*b*d^2*x*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c-5/96*d^2*(a+b*arcsinh(c*x))^2/c^2+1/6*d^2*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^2/c^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)^2*(a+b*arcsinh(c*x))^2/x,x,14,11/32*b^2*c^2*d^2*x^2+1/32*b^2*d^2*(c^2*x^2+1)^2-11/16*b*c*d^2*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))-1/8*b*c*d^2*x*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))-11/32*d^2*(a+b*arcsinh(c*x))^2+1/2*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+1/4*d^2*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2-1/3*d^2*(a+b*arcsinh(c*x))^3/b+d^2*(a+b*arcsinh(c*x))^2*ln(1-exp(2*arcsinh(c*x)))+b*d^2*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))-1/2*b^2*d^2*polylog(3,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2/x^2,x,15,32/9*b^2*c^2*d^2*x+2/27*b^2*c^4*d^2*x^3-10/3*b*c*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))-2/9*b*c*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))+8/3*c^2*d^2*x*(a+b*arcsinh(c*x))^2+4/3*c^2*d^2*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2-d^2*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/x-4*b*c*d^2*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-2*b^2*c*d^2*polylog(2,-exp(arcsinh(c*x)))+2*b^2*c*d^2*polylog(2,exp(arcsinh(c*x))),1],
[(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2/x^3,x,16,1/4*b^2*c^4*d^2*x^2+1/2*b*c^3*d^2*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))-b*c*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/x+1/4*c^2*d^2*(a+b*arcsinh(c*x))^2+c^2*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2-1/2*d^2*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/x^2-2/3*c^2*d^2*(a+b*arcsinh(c*x))^3/b+2*c^2*d^2*(a+b*arcsinh(c*x))^2*ln(1-exp(2*arcsinh(c*x)))+b^2*c^2*d^2*ln(x)+2*b*c^2*d^2*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))-b^2*c^2*d^2*polylog(3,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2/x^4,x,20,-1/3*b^2*c^2*d^2/x+2*b^2*c^4*d^2*x-5/3*b*c^3*d^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))-1/3*b*c*d^2*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/x^2+8/3*c^4*d^2*x*(a+b*arcsinh(c*x))^2-4/3*c^2*d^2*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/x-1/3*d^2*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/x^3-22/3*b*c^3*d^2*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-11/3*b^2*c^3*d^2*polylog(2,-exp(arcsinh(c*x)))+11/3*b^2*c^3*d^2*polylog(2,exp(arcsinh(c*x))),1],
[x^4*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x,21,100976/4002075*b^2*d^3*x/c^4-50488/12006225*b^2*d^3*x^3/c^2+12622/6670125*b^2*d^3*x^5+9410/1120581*b^2*c^2*d^3*x^7+182/29403*b^2*c^4*d^3*x^9+2/1331*b^2*c^6*d^3*x^11-256/17325*b*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5+128/17325*b*d^3*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-32/5775*b*d^3*x^4*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-16/693*b*d^3*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c^5+4/1155*b*d^3*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c^5-2/1617*b*d^3*(c^2*x^2+1)^(7/2)*(a+b*arcsinh(c*x))/c^5+8/297*b*d^3*(c^2*x^2+1)^(9/2)*(a+b*arcsinh(c*x))/c^5-2/121*b*d^3*(c^2*x^2+1)^(11/2)*(a+b*arcsinh(c*x))/c^5+16/1155*d^3*x^5*(a+b*arcsinh(c*x))^2+8/231*d^3*x^5*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+2/33*d^3*x^5*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2+1/11*d^3*x^5*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^2,1],
[x^3*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x,42,-79/5120*b^2*d^3*x^2/c^2+79/15360*b^2*d^3*x^4+401/28800*b^2*c^2*d^3*x^6+57/6400*b^2*c^4*d^3*x^8+1/500*b^2*c^6*d^3*x^10+79/2560*b*d^3*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-79/3840*b*d^3*x^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-31/960*b*c*d^3*x^5*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))-1/32*b*c*d^3*x^5*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))-1/50*b*c*d^3*x^5*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))-79/5120*d^3*(a+b*arcsinh(c*x))^2/c^4+1/40*d^3*x^4*(a+b*arcsinh(c*x))^2+1/20*d^3*x^4*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+3/40*d^3*x^4*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2+1/10*d^3*x^4*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^2,1],
[x^2*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x,19,-10516/99225*b^2*d^3*x/c^2+5258/297675*b^2*d^3*x^3+4198/165375*b^2*c^2*d^3*x^5+374/27783*b^2*c^4*d^3*x^7+2/729*b^2*c^6*d^3*x^9+64/945*b*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3-32/945*b*d^3*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c+16/315*b*d^3*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c^3+4/525*b*d^3*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c^3+2/441*b*d^3*(c^2*x^2+1)^(7/2)*(a+b*arcsinh(c*x))/c^3-2/81*b*d^3*(c^2*x^2+1)^(9/2)*(a+b*arcsinh(c*x))/c^3+16/315*d^3*x^3*(a+b*arcsinh(c*x))^2+8/105*d^3*x^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+2/21*d^3*x^3*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2+1/9*d^3*x^3*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^2,1],
[x*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x,10,35/1024*b^2*d^3*x^2+35/3072*b^2*d^3*(c^2*x^2+1)^2/c^2+7/1152*b^2*d^3*(c^2*x^2+1)^3/c^2+1/256*b^2*d^3*(c^2*x^2+1)^4/c^2-35/512*b*d^3*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c-35/768*b*d^3*x*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/c-7/192*b*d^3*x*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/c-1/32*b*d^3*x*(c^2*x^2+1)^(7/2)*(a+b*arcsinh(c*x))/c-35/1024*d^3*(a+b*arcsinh(c*x))^2/c^2+1/8*d^3*(c^2*x^2+1)^4*(a+b*arcsinh(c*x))^2/c^2,1],
[(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)^3*(a+b*arcsinh(c*x))^2/x,x,22,19/48*b^2*c^2*d^3*x^2+7/144*b^2*d^3*(c^2*x^2+1)^2+1/108*b^2*d^3*(c^2*x^2+1)^3-19/24*b*c*d^3*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))-7/36*b*c*d^3*x*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))-1/18*b*c*d^3*x*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))-19/48*d^3*(a+b*arcsinh(c*x))^2+1/2*d^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+1/4*d^3*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2+1/6*d^3*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^2-1/3*d^3*(a+b*arcsinh(c*x))^3/b+d^3*(a+b*arcsinh(c*x))^2*ln(1-exp(2*arcsinh(c*x)))+b*d^3*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))-1/2*b^2*d^3*polylog(3,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2/x^2,x,22,122/25*b^2*c^2*d^3*x+14/75*b^2*c^4*d^3*x^3+2/125*b^2*c^6*d^3*x^5-22/5*b*c*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))-2/5*b*c*d^3*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))-2/25*b*c*d^3*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))+16/5*c^2*d^3*x*(a+b*arcsinh(c*x))^2+8/5*c^2*d^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+6/5*c^2*d^3*x*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2-d^3*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^2/x-4*b*c*d^3*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-2*b^2*c*d^3*polylog(2,-exp(arcsinh(c*x)))+2*b^2*c*d^3*polylog(2,exp(arcsinh(c*x))),1],
[(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2/x^3,x,24,35/32*b^2*c^4*d^3*x^2+1/4*b^2*c^6*d^3*x^4-7/32*b^2*c^2*d^3*(c^2*x^2+1)^2-3/16*b*c^3*d^3*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))+7/8*b*c^3*d^3*x*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))-b*c*d^3*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/x-3/32*c^2*d^3*(a+b*arcsinh(c*x))^2+3/2*c^2*d^3*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2+3/4*c^2*d^3*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2-1/2*d^3*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^2/x^2-c^2*d^3*(a+b*arcsinh(c*x))^3/b+3*c^2*d^3*(a+b*arcsinh(c*x))^2*ln(1-exp(2*arcsinh(c*x)))+b^2*c^2*d^3*ln(x)+3*b*c^2*d^3*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))-3/2*b^2*c^2*d^3*polylog(3,exp(2*arcsinh(c*x))),1],
[(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2/x^4,x,27,-1/3*b^2*c^2*d^3/x+50/9*b^2*c^4*d^3*x+2/27*b^2*c^6*d^3*x^3-5*b*c^3*d^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))+1/9*b*c^3*d^3*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))-1/3*b*c*d^3*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/x^2+16/3*c^4*d^3*x*(a+b*arcsinh(c*x))^2+8/3*c^4*d^3*x*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2-2*c^2*d^3*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/x-1/3*d^3*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^2/x^3-34/3*b*c^3*d^3*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))-17/3*b^2*c^3*d^3*polylog(2,-exp(arcsinh(c*x)))+17/3*b^2*c^3*d^3*polylog(2,exp(arcsinh(c*x))),1],
[x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x,14,-22/9*b^2*x/c^4/d+2/27*b^2*x^3/c^2/d+22/9*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5/d-2/9*b*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3/d-x*(a+b*arcsinh(c*x))^2/c^4/d+1/3*x^3*(a+b*arcsinh(c*x))^2/c^2/d+2*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/c^5/d-2*I*b*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/c^5/d+2*I*b*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/c^5/d+2*I*b^2*polylog(3,-I*exp(arcsinh(c*x)))/c^5/d-2*I*b^2*polylog(3,I*exp(arcsinh(c*x)))/c^5/d,1],
[x^3*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x,8,1/4*b^2*x^2/c^2/d-1/2*b*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3/d+1/4*(a+b*arcsinh(c*x))^2/c^4/d+1/2*x^2*(a+b*arcsinh(c*x))^2/c^2/d+1/3*(a+b*arcsinh(c*x))^3/b/c^4/d-(a+b*arcsinh(c*x))^2*ln(1+exp(2*arcsinh(c*x)))/c^4/d-b*(a+b*arcsinh(c*x))*polylog(2,-exp(2*arcsinh(c*x)))/c^4/d+1/2*b^2*polylog(3,-exp(2*arcsinh(c*x)))/c^4/d,1],
[x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x,9,2*b^2*x/c^2/d-2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3/d+x*(a+b*arcsinh(c*x))^2/c^2/d-2*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/c^3/d+2*I*b*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/c^3/d-2*I*b*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/c^3/d-2*I*b^2*polylog(3,-I*exp(arcsinh(c*x)))/c^3/d+2*I*b^2*polylog(3,I*exp(arcsinh(c*x)))/c^3/d,1],
[x*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x,4,-1/3*(a+b*arcsinh(c*x))^3/b/c^2/d+(a+b*arcsinh(c*x))^2*ln(1+exp(2*arcsinh(c*x)))/c^2/d+b*(a+b*arcsinh(c*x))*polylog(2,-exp(2*arcsinh(c*x)))/c^2/d-1/2*b^2*polylog(3,-exp(2*arcsinh(c*x)))/c^2/d,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/x/(c^2*d*x^2+d),x,8,-2*(a+b*arcsinh(c*x))^2*arctanh(exp(2*arcsinh(c*x)))/d-b*(a+b*arcsinh(c*x))*polylog(2,-exp(2*arcsinh(c*x)))/d+b*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))/d+1/2*b^2*polylog(3,-exp(2*arcsinh(c*x)))/d-1/2*b^2*polylog(3,exp(2*arcsinh(c*x)))/d,1],
[(a+b*arcsinh(c*x))^2/x^2/(c^2*d*x^2+d),x,11,-(a+b*arcsinh(c*x))^2/d/x-2*c*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/d-4*b*c*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/d-2*b^2*c*polylog(2,-exp(arcsinh(c*x)))/d+2*I*b*c*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/d-2*I*b*c*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/d+2*b^2*c*polylog(2,exp(arcsinh(c*x)))/d-2*I*b^2*c*polylog(3,-I*exp(arcsinh(c*x)))/d+2*I*b^2*c*polylog(3,I*exp(arcsinh(c*x)))/d,1],
[(a+b*arcsinh(c*x))^2/x^3/(c^2*d*x^2+d),x,12,-b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/d/x-1/2*(a+b*arcsinh(c*x))^2/d/x^2+2*c^2*(a+b*arcsinh(c*x))^2*arctanh(exp(2*arcsinh(c*x)))/d+b^2*c^2*ln(x)/d+b*c^2*(a+b*arcsinh(c*x))*polylog(2,-exp(2*arcsinh(c*x)))/d-b*c^2*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))/d-1/2*b^2*c^2*polylog(3,-exp(2*arcsinh(c*x)))/d+1/2*b^2*c^2*polylog(3,exp(2*arcsinh(c*x)))/d,1],
[(a+b*arcsinh(c*x))^2/x^4/(c^2*d*x^2+d),x,18,-1/3*b^2*c^2/d/x-1/3*b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/d/x^2-1/3*(a+b*arcsinh(c*x))^2/d/x^3+c^2*(a+b*arcsinh(c*x))^2/d/x+2*c^3*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/d+14/3*b*c^3*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/d+7/3*b^2*c^3*polylog(2,-exp(arcsinh(c*x)))/d-2*I*b*c^3*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/d+2*I*b*c^3*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/d-7/3*b^2*c^3*polylog(2,exp(arcsinh(c*x)))/d+2*I*b^2*c^3*polylog(3,-I*exp(arcsinh(c*x)))/d-2*I*b^2*c^3*polylog(3,I*exp(arcsinh(c*x)))/d,1],
[x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x,13,2*b^2*x/c^4/d^2+b*(a+b*arcsinh(c*x))/c^5/d^2/sqrt(c^2*x^2+1)-2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5/d^2+3/2*x*(a+b*arcsinh(c*x))^2/c^4/d^2-1/2*x^3*(a+b*arcsinh(c*x))^2/c^2/d^2/(c^2*x^2+1)-3*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/c^5/d^2-b^2*arctan(c*x)/c^5/d^2+3*I*b*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/c^5/d^2-3*I*b*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/c^5/d^2-3*I*b^2*polylog(3,-I*exp(arcsinh(c*x)))/c^5/d^2+3*I*b^2*polylog(3,I*exp(arcsinh(c*x)))/c^5/d^2,1],
[x^3*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x,8,-b*x*(a+b*arcsinh(c*x))/c^3/d^2/sqrt(c^2*x^2+1)+1/2*(a+b*arcsinh(c*x))^2/c^4/d^2-1/2*x^2*(a+b*arcsinh(c*x))^2/c^2/d^2/(c^2*x^2+1)-1/3*(a+b*arcsinh(c*x))^3/b/c^4/d^2+(a+b*arcsinh(c*x))^2*ln(1+exp(2*arcsinh(c*x)))/c^4/d^2+1/2*b^2*ln(c^2*x^2+1)/c^4/d^2+b*(a+b*arcsinh(c*x))*polylog(2,-exp(2*arcsinh(c*x)))/c^4/d^2-1/2*b^2*polylog(3,-exp(2*arcsinh(c*x)))/c^4/d^2,1],
[x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x,9,-b*(a+b*arcsinh(c*x))/c^3/d^2/sqrt(c^2*x^2+1)-1/2*x*(a+b*arcsinh(c*x))^2/c^2/d^2/(c^2*x^2+1)+(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/c^3/d^2+b^2*arctan(c*x)/c^3/d^2-I*b*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/c^3/d^2+I*b*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/c^3/d^2+I*b^2*polylog(3,-I*exp(arcsinh(c*x)))/c^3/d^2-I*b^2*polylog(3,I*exp(arcsinh(c*x)))/c^3/d^2,1],
[x*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x,3,b*x*(a+b*arcsinh(c*x))/c/d^2/sqrt(c^2*x^2+1)-1/2*(a+b*arcsinh(c*x))^2/c^2/d^2/(c^2*x^2+1)-1/2*b^2*ln(c^2*x^2+1)/c^2/d^2,1],
[(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],
[(a+b*arcsinh(c*x))^2/x/(c^2*d*x^2+d)^2,x,11,-b*c*x*(a+b*arcsinh(c*x))/d^2/sqrt(c^2*x^2+1)+1/2*(a+b*arcsinh(c*x))^2/d^2/(c^2*x^2+1)-2*(a+b*arcsinh(c*x))^2*arctanh(exp(2*arcsinh(c*x)))/d^2+1/2*b^2*ln(c^2*x^2+1)/d^2-b*(a+b*arcsinh(c*x))*polylog(2,-exp(2*arcsinh(c*x)))/d^2+b*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))/d^2+1/2*b^2*polylog(3,-exp(2*arcsinh(c*x)))/d^2-1/2*b^2*polylog(3,exp(2*arcsinh(c*x)))/d^2,1],
[(a+b*arcsinh(c*x))^2/x^2/(c^2*d*x^2+d)^2,x,16,-b*c*(a+b*arcsinh(c*x))/d^2/sqrt(c^2*x^2+1)-(a+b*arcsinh(c*x))^2/d^2/x/(c^2*x^2+1)-3/2*c^2*x*(a+b*arcsinh(c*x))^2/d^2/(c^2*x^2+1)-3*c*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/d^2+b^2*c*arctan(c*x)/d^2-4*b*c*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/d^2-2*b^2*c*polylog(2,-exp(arcsinh(c*x)))/d^2+3*I*b*c*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/d^2-3*I*b*c*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/d^2+2*b^2*c*polylog(2,exp(arcsinh(c*x)))/d^2-3*I*b^2*c*polylog(3,-I*exp(arcsinh(c*x)))/d^2+3*I*b^2*c*polylog(3,I*exp(arcsinh(c*x)))/d^2,1],
[(a+b*arcsinh(c*x))^2/x^3/(c^2*d*x^2+d)^2,x,16,-b*c*(a+b*arcsinh(c*x))/d^2/x/sqrt(c^2*x^2+1)-1/2*(a+b*arcsinh(c*x))^2/d^2/x^2-1/2*c^2*(a+b*arcsinh(c*x))^2/d^2/(c^2*x^2+1)+4*c^2*(a+b*arcsinh(c*x))^2*arctanh(exp(2*arcsinh(c*x)))/d^2+b^2*c^2*ln(x)/d^2-1/2*b^2*c^2*ln(c^2*x^2+1)/d^2+2*b*c^2*(a+b*arcsinh(c*x))*polylog(2,-exp(2*arcsinh(c*x)))/d^2-2*b*c^2*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))/d^2-b^2*c^2*polylog(3,-exp(2*arcsinh(c*x)))/d^2+b^2*c^2*polylog(3,exp(2*arcsinh(c*x)))/d^2,1],
[(a+b*arcsinh(c*x))^2/x^4/(c^2*d*x^2+d)^2,x,26,-1/3*b^2*c^2/d^2/x+2/3*b*c^3*(a+b*arcsinh(c*x))/d^2/sqrt(c^2*x^2+1)-1/3*b*c*(a+b*arcsinh(c*x))/d^2/x^2/sqrt(c^2*x^2+1)-1/3*(a+b*arcsinh(c*x))^2/d^2/x^3/(c^2*x^2+1)+5/3*c^2*(a+b*arcsinh(c*x))^2/d^2/x/(c^2*x^2+1)+5/2*c^4*x*(a+b*arcsinh(c*x))^2/d^2/(c^2*x^2+1)+5*c^3*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/d^2-b^2*c^3*arctan(c*x)/d^2+26/3*b*c^3*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/d^2+13/3*b^2*c^3*polylog(2,-exp(arcsinh(c*x)))/d^2-5*I*b*c^3*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/d^2+5*I*b*c^3*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/d^2-13/3*b^2*c^3*polylog(2,exp(arcsinh(c*x)))/d^2+5*I*b^2*c^3*polylog(3,-I*exp(arcsinh(c*x)))/d^2-5*I*b^2*c^3*polylog(3,I*exp(arcsinh(c*x)))/d^2,1],
[x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x,14,-1/12*b^2*x/c^4/d^3/(c^2*x^2+1)+1/6*b*(a+b*arcsinh(c*x))/c^5/d^3/(c^2*x^2+1)^(3/2)-5/4*b*(a+b*arcsinh(c*x))/c^5/d^3/sqrt(c^2*x^2+1)-1/4*x^3*(a+b*arcsinh(c*x))^2/c^2/d^3/(c^2*x^2+1)^2-3/8*x*(a+b*arcsinh(c*x))^2/c^4/d^3/(c^2*x^2+1)+3/4*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/c^5/d^3+7/6*b^2*arctan(c*x)/c^5/d^3-3/4*I*b*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/c^5/d^3+3/4*I*b*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/c^5/d^3+3/4*I*b^2*polylog(3,-I*exp(arcsinh(c*x)))/c^5/d^3-3/4*I*b^2*polylog(3,I*exp(arcsinh(c*x)))/c^5/d^3,1],
[x^3*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x,8,-1/12*b^2/c^4/d^3/(c^2*x^2+1)+1/6*b*x^3*(a+b*arcsinh(c*x))/c/d^3/(c^2*x^2+1)^(3/2)+1/2*b*x*(a+b*arcsinh(c*x))/c^3/d^3/sqrt(c^2*x^2+1)-1/4*(a+b*arcsinh(c*x))^2/c^4/d^3+1/4*x^4*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)^2-1/3*b^2*ln(c^2*x^2+1)/c^4/d^3,1],
[x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x,13,1/12*b^2*x/c^2/d^3/(c^2*x^2+1)-1/6*b*(a+b*arcsinh(c*x))/c^3/d^3/(c^2*x^2+1)^(3/2)+1/4*b*(a+b*arcsinh(c*x))/c^3/d^3/sqrt(c^2*x^2+1)-1/4*x*(a+b*arcsinh(c*x))^2/c^2/d^3/(c^2*x^2+1)^2+1/8*x*(a+b*arcsinh(c*x))^2/c^2/d^3/(c^2*x^2+1)+1/4*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/c^3/d^3-1/6*b^2*arctan(c*x)/c^3/d^3-1/4*I*b*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/c^3/d^3+1/4*I*b*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/c^3/d^3+1/4*I*b^2*polylog(3,-I*exp(arcsinh(c*x)))/c^3/d^3-1/4*I*b^2*polylog(3,I*exp(arcsinh(c*x)))/c^3/d^3,1],
[x*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x,5,1/12*b^2/c^2/d^3/(c^2*x^2+1)+1/6*b*x*(a+b*arcsinh(c*x))/c/d^3/(c^2*x^2+1)^(3/2)+1/3*b*x*(a+b*arcsinh(c*x))/c/d^3/sqrt(c^2*x^2+1)-1/4*(a+b*arcsinh(c*x))^2/c^2/d^3/(c^2*x^2+1)^2-1/6*b^2*ln(c^2*x^2+1)/c^2/d^3,1],
[(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x,13,-1/12*b^2*x/d^3/(c^2*x^2+1)+1/6*b*(a+b*arcsinh(c*x))/c/d^3/(c^2*x^2+1)^(3/2)+3/4*b*(a+b*arcsinh(c*x))/c/d^3/sqrt(c^2*x^2+1)+1/4*x*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)^2+3/8*x*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)+3/4*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/c/d^3-5/6*b^2*arctan(c*x)/c/d^3-3/4*I*b*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/c/d^3+3/4*I*b*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/c/d^3+3/4*I*b^2*polylog(3,-I*exp(arcsinh(c*x)))/c/d^3-3/4*I*b^2*polylog(3,I*exp(arcsinh(c*x)))/c/d^3,1],
[(a+b*arcsinh(c*x))^2/x/(c^2*d*x^2+d)^3,x,16,-1/12*b^2/d^3/(c^2*x^2+1)-1/6*b*c*x*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)^(3/2)-4/3*b*c*x*(a+b*arcsinh(c*x))/d^3/sqrt(c^2*x^2+1)+1/4*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)^2+1/2*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)-2*(a+b*arcsinh(c*x))^2*arctanh(exp(2*arcsinh(c*x)))/d^3+2/3*b^2*ln(c^2*x^2+1)/d^3-b*(a+b*arcsinh(c*x))*polylog(2,-exp(2*arcsinh(c*x)))/d^3+b*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))/d^3+1/2*b^2*polylog(3,-exp(2*arcsinh(c*x)))/d^3-1/2*b^2*polylog(3,exp(2*arcsinh(c*x)))/d^3,1],
[(a+b*arcsinh(c*x))^2/x^2/(c^2*d*x^2+d)^3,x,23,1/12*b^2*c^2*x/d^3/(c^2*x^2+1)-1/6*b*c*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)^(3/2)-7/4*b*c*(a+b*arcsinh(c*x))/d^3/sqrt(c^2*x^2+1)-(a+b*arcsinh(c*x))^2/d^3/x/(c^2*x^2+1)^2-5/4*c^2*x*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)^2-15/8*c^2*x*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)-15/4*c*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/d^3+11/6*b^2*c*arctan(c*x)/d^3-4*b*c*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/d^3-2*b^2*c*polylog(2,-exp(arcsinh(c*x)))/d^3+15/4*I*b*c*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/d^3-15/4*I*b*c*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/d^3+2*b^2*c*polylog(2,exp(arcsinh(c*x)))/d^3-15/4*I*b^2*c*polylog(3,-I*exp(arcsinh(c*x)))/d^3+15/4*I*b^2*c*polylog(3,I*exp(arcsinh(c*x)))/d^3,1],
[(a+b*arcsinh(c*x))^2/x^3/(c^2*d*x^2+d)^3,x,22,1/12*b^2*c^2/d^3/(c^2*x^2+1)+1/6*b*c^3*x*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)^(3/2)-b*c*(a+b*arcsinh(c*x))/d^3/x/sqrt(c^2*x^2+1)+4/3*b*c^3*x*(a+b*arcsinh(c*x))/d^3/sqrt(c^2*x^2+1)-1/2*(a+b*arcsinh(c*x))^2/d^3/x^2-1/4*c^2*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)^2-c^2*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)+6*c^2*(a+b*arcsinh(c*x))^2*arctanh(exp(2*arcsinh(c*x)))/d^3+b^2*c^2*ln(x)/d^3-7/6*b^2*c^2*ln(c^2*x^2+1)/d^3+3*b*c^2*(a+b*arcsinh(c*x))*polylog(2,-exp(2*arcsinh(c*x)))/d^3-3*b*c^2*(a+b*arcsinh(c*x))*polylog(2,exp(2*arcsinh(c*x)))/d^3-3/2*b^2*c^2*polylog(3,-exp(2*arcsinh(c*x)))/d^3+3/2*b^2*c^2*polylog(3,exp(2*arcsinh(c*x)))/d^3,1],
[(a+b*arcsinh(c*x))^2/x^4/(c^2*d*x^2+d)^3,x,37,-1/3*b^2*c^2/d^3/x-1/12*b^2*c^4*x/d^3/(c^2*x^2+1)-1/6*b*c^3*(a+b*arcsinh(c*x))/d^3/(c^2*x^2+1)^(3/2)-1/3*b*c*(a+b*arcsinh(c*x))/d^3/x^2/(c^2*x^2+1)^(3/2)+29/12*b*c^3*(a+b*arcsinh(c*x))/d^3/sqrt(c^2*x^2+1)-1/3*(a+b*arcsinh(c*x))^2/d^3/x^3/(c^2*x^2+1)^2+7/3*c^2*(a+b*arcsinh(c*x))^2/d^3/x/(c^2*x^2+1)^2+35/12*c^4*x*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)^2+35/8*c^4*x*(a+b*arcsinh(c*x))^2/d^3/(c^2*x^2+1)+35/4*c^3*(a+b*arcsinh(c*x))^2*arctan(exp(arcsinh(c*x)))/d^3-17/6*b^2*c^3*arctan(c*x)/d^3+38/3*b*c^3*(a+b*arcsinh(c*x))*arctanh(exp(arcsinh(c*x)))/d^3+19/3*b^2*c^3*polylog(2,-exp(arcsinh(c*x)))/d^3+35/4*I*b*c^3*(a+b*arcsinh(c*x))*polylog(2,I*exp(arcsinh(c*x)))/d^3+35/4*I*b^2*c^3*polylog(3,-I*exp(arcsinh(c*x)))/d^3-19/3*b^2*c^3*polylog(2,exp(arcsinh(c*x)))/d^3-35/4*I*b^2*c^3*polylog(3,I*exp(arcsinh(c*x)))/d^3-35/4*I*b*c^3*(a+b*arcsinh(c*x))*polylog(2,-I*exp(arcsinh(c*x)))/d^3,1],
[x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,12,-52/225*b^2*sqrt(c^2*d*x^2+d)/c^4-26/675*b^2*(c^2*d*x^2+d)^(3/2)/c^4/d+2/125*b^2*(c^2*d*x^2+d)^(5/2)/c^4/d^2+4/15*b*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^3/sqrt(c^2*x^2+1)-2/45*b*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-2/25*b*c*x^5*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/15*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^4+1/15*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2+1/5*x^4*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,1],
[x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,11,1/64*b^2*x*sqrt(c^2*d*x^2+d)/c^2+1/32*b^2*x^3*sqrt(c^2*d*x^2+d)-1/64*b^2*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/c^3/sqrt(c^2*x^2+1)-1/8*b*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-1/8*b*c*x^4*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/8*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2+1/4*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2-1/24*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/c^3/sqrt(c^2*x^2+1),1],
[x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,6,4/9*b^2*sqrt(c^2*d*x^2+d)/c^2+2/27*b^2*(c^2*d*x^2+d)^(3/2)/c^2/d-2/3*b*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-2/9*b*c*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2/c^2/d,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],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x,x,11,2*b^2*sqrt(c^2*d*x^2+d)-2*a*b*c*x*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-2*b^2*c*x*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/sqrt(c^2*x^2+1)+sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2-2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-2*b*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+2*b*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+2*b^2*sqrt(c^2*d*x^2+d)*polylog(3,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-2*b^2*sqrt(c^2*d*x^2+d)*polylog(3,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x^2,x,6,-sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x-c*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/sqrt(c^2*x^2+1)+1/3*c*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/sqrt(c^2*x^2+1)+2*b*c*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1)+b^2*c*sqrt(c^2*d*x^2+d)*polylog(2,exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x^3,x,12,-b*c*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x/sqrt(c^2*x^2+1)-1/2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x^2-c^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-b^2*c^2*sqrt(c^2*d*x^2+d)*arctanh(sqrt(c^2*x^2+1))/sqrt(c^2*x^2+1)-b*c^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+b*c^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+b^2*c^2*sqrt(c^2*d*x^2+d)*polylog(3,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-b^2*c^2*sqrt(c^2*d*x^2+d)*polylog(3,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x^4,x,8,-1/3*b^2*c^2*sqrt(c^2*d*x^2+d)/x+1/3*b^2*c^3*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/sqrt(c^2*x^2+1)-1/3*b*c*sqrt(c^2*x^2+1)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^2-1/3*c^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/sqrt(c^2*x^2+1)-1/3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2/d/x^3+2/3*b*c^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1)+1/3*b^2*c^3*sqrt(c^2*d*x^2+d)*polylog(2,exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[x^3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2,x,18,-304/3675*b^2*d*sqrt(c^2*d*x^2+d)/c^4-152/11025*b^2*(c^2*d*x^2+d)^(3/2)/c^4-38/6125*b^2*(c^2*d*x^2+d)^(5/2)/c^4/d+2/343*b^2*(c^2*d*x^2+d)^(7/2)/c^4/d^2+4/35*b*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^3/sqrt(c^2*x^2+1)-2/105*b*d*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-16/175*b*c*d*x^5*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/49*b*c^3*d*x^7*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/35*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^4+1/35*d*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2+3/35*d*x^4*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2+1/7*x^4*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2,1],
[x^2*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2,x,18,-7/1152*b^2*d*x*sqrt(c^2*d*x^2+d)/c^2+43/1728*b^2*d*x^3*sqrt(c^2*d*x^2+d)+1/108*b^2*c^2*d*x^5*sqrt(c^2*d*x^2+d)+7/1152*b^2*d*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/c^3/sqrt(c^2*x^2+1)-1/16*b*d*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-7/48*b*c*d*x^4*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-1/18*b*c^3*d*x^6*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/16*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2+1/8*d*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2+1/6*x^3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2-1/48*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/c^3/sqrt(c^2*x^2+1),1],
[x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2,x,7,16/75*b^2*d*sqrt(c^2*d*x^2+d)/c^2+8/225*b^2*(c^2*d*x^2+d)^(3/2)/c^2+2/125*b^2*(c^2*d*x^2+d)^(5/2)/c^2/d-2/5*b*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-4/15*b*c*d*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/25*b*c^3*d*x^5*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/5*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2/c^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],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2/x,x,16,22/9*b^2*d*sqrt(c^2*d*x^2+d)-2*a*b*c*d*x*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+2/27*b^2*(c^2*d*x^2+d)^(3/2)-2*b^2*c*d*x*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/sqrt(c^2*x^2+1)-2/3*b*c*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/9*b*c^3*d*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2+1/3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2-2*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-2*b*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+2*b*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+2*b^2*d*sqrt(c^2*d*x^2+d)*polylog(3,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-2*b^2*d*sqrt(c^2*d*x^2+d)*polylog(3,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2/x^2,x,13,1/4*b^2*c^2*d*x*sqrt(c^2*d*x^2+d)-5/4*b^2*c*d*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/sqrt(c^2*x^2+1)-3/2*b*c^3*d*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+b*c*d*sqrt(c^2*x^2+1)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))+3/2*c^2*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2-c*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/sqrt(c^2*x^2+1)-(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2/x+1/2*c*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/sqrt(c^2*x^2+1)+2*b*c*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1)+b^2*c*d*sqrt(c^2*d*x^2+d)*polylog(2,exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2/x^3,x,17,2*b^2*c^2*d*sqrt(c^2*d*x^2+d)-3*a*b*c^3*d*x*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)-3*b^2*c^3*d*x*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/sqrt(c^2*x^2+1)-b*c*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x/sqrt(c^2*x^2+1)+b*c^3*d*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+3/2*c^2*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2-1/2*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2/x^2-3*c^2*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-b^2*c^2*d*sqrt(c^2*d*x^2+d)*arctanh(sqrt(c^2*x^2+1))/sqrt(c^2*x^2+1)-3*b*c^2*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+3*b*c^2*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+3*b^2*c^2*d*sqrt(c^2*d*x^2+d)*polylog(3,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-3*b^2*c^2*d*sqrt(c^2*d*x^2+d)*polylog(3,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2/x^4,x,13,-1/3*b^2*c^2*d*sqrt(c^2*d*x^2+d)/x+1/3*b^2*c^3*d*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/sqrt(c^2*x^2+1)-1/3*b*c*d*sqrt(c^2*x^2+1)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^2-c^2*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/x-4/3*c^3*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/sqrt(c^2*x^2+1)-1/3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2/x^3+1/3*c^3*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/sqrt(c^2*x^2+1)+8/3*b*c^3*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1)+4/3*b^2*c^3*d*sqrt(c^2*d*x^2+d)*polylog(2,exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[x^3*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2,x,24,-160/3969*b^2*d^2*sqrt(c^2*d*x^2+d)/c^4-80/11907*b^2*d*(c^2*d*x^2+d)^(3/2)/c^4-4/1323*b^2*(c^2*d*x^2+d)^(5/2)/c^4-50/27783*b^2*(c^2*d*x^2+d)^(7/2)/c^4/d+2/729*b^2*(c^2*d*x^2+d)^(9/2)/c^4/d^2+4/63*b*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c^3/sqrt(c^2*x^2+1)-2/189*b*d^2*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-2/21*b*c*d^2*x^5*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-38/441*b*c^3*d^2*x^7*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/81*b*c^5*d^2*x^9*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/63*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^4+1/63*d^2*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2+1/21*d^2*x^4*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2+5/63*d*x^4*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2+1/9*x^4*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2,1],
[x^2*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2,x,26,-359/36864*b^2*d^2*x*sqrt(c^2*d*x^2+d)/c^2+1079/55296*b^2*d^2*x^3*sqrt(c^2*d*x^2+d)+209/13824*b^2*c^2*d^2*x^5*sqrt(c^2*d*x^2+d)+1/256*b^2*c^4*d^2*x^7*sqrt(c^2*d*x^2+d)+359/36864*b^2*d^2*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/c^3/sqrt(c^2*x^2+1)-5/128*b*d^2*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-59/384*b*c*d^2*x^4*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-17/144*b*c^3*d^2*x^6*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-1/32*b*c^5*d^2*x^8*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+5/128*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2+5/64*d^2*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2+5/48*d*x^3*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2+1/8*x^3*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2-5/384*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/c^3/sqrt(c^2*x^2+1),1],
[x*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2,x,7,32/245*b^2*d^2*sqrt(c^2*d*x^2+d)/c^2+16/735*b^2*d*(c^2*d*x^2+d)^(3/2)/c^2+12/1225*b^2*(c^2*d*x^2+d)^(5/2)/c^2+2/343*b^2*(c^2*d*x^2+d)^(7/2)/c^2/d-2/7*b*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c/sqrt(c^2*x^2+1)-2/7*b*c*d^2*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-6/35*b*c^3*d^2*x^5*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/49*b*c^5*d^2*x^7*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+1/7*(c^2*d*x^2+d)^(7/2)*(a+b*arcsinh(c*x))^2/c^2/d,1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2,x,17,245/1152*b^2*d^2*x*sqrt(c^2*d*x^2+d)+65/1728*b^2*d*x*(c^2*d*x^2+d)^(3/2)+1/108*b^2*x*(c^2*d*x^2+d)^(5/2)-115/1152*b^2*d^2*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/c/sqrt(c^2*x^2+1)-5/16*b*c*d^2*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-5/48*b*d^2*(c^2*x^2+1)^(3/2)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c-1/18*b*d^2*(c^2*x^2+1)^(5/2)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/c+5/16*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2+5/24*d*x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2+1/6*x*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2+5/48*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/c/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2/x,x,22,598/225*b^2*d^2*sqrt(c^2*d*x^2+d)-2*a*b*c*d^2*x*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+74/675*b^2*d*(c^2*d*x^2+d)^(3/2)+2/125*b^2*(c^2*d*x^2+d)^(5/2)-2*b^2*c*d^2*x*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/sqrt(c^2*x^2+1)-16/15*b*c*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-22/45*b*c^3*d^2*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/25*b*c^5*d^2*x^5*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2+1/3*d*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2+1/5*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2-2*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-2*b*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+2*b*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+2*b^2*d^2*sqrt(c^2*d*x^2+d)*polylog(3,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-2*b^2*d^2*sqrt(c^2*d*x^2+d)*polylog(3,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2/x^2,x,22,31/64*b^2*c^2*d^2*x*sqrt(c^2*d*x^2+d)+1/32*b^2*c^2*d*x*(c^2*d*x^2+d)^(3/2)-89/64*b^2*c*d^2*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/sqrt(c^2*x^2+1)-15/8*b*c^3*d^2*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+b*c*d^2*sqrt(c^2*x^2+1)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))-1/8*b*c*d^2*(c^2*x^2+1)^(3/2)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))+15/8*c^2*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2-c*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/sqrt(c^2*x^2+1)+5/4*c^2*d*x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2-(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2/x+5/8*c*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/sqrt(c^2*x^2+1)+2*b*c*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1)+b^2*c*d^2*sqrt(c^2*d*x^2+d)*polylog(2,exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2/x^3,x,24,40/9*b^2*c^2*d^2*sqrt(c^2*d*x^2+d)-5*a*b*c^3*d^2*x*sqrt(c^2*d*x^2+d)/sqrt(c^2*x^2+1)+2/27*b^2*c^2*d*(c^2*d*x^2+d)^(3/2)-5*b^2*c^3*d^2*x*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/sqrt(c^2*x^2+1)-b*c*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x/sqrt(c^2*x^2+1)+1/3*b*c^3*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)-2/9*b*c^5*d^2*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+5/2*c^2*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2+5/6*c^2*d*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2-1/2*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2/x^2-5*c^2*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-b^2*c^2*d^2*sqrt(c^2*d*x^2+d)*arctanh(sqrt(c^2*x^2+1))/sqrt(c^2*x^2+1)-5*b*c^2*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+5*b*c^2*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)+5*b^2*c^2*d^2*sqrt(c^2*d*x^2+d)*polylog(3,-exp(arcsinh(c*x)))/sqrt(c^2*x^2+1)-5*b^2*c^2*d^2*sqrt(c^2*d*x^2+d)*polylog(3,exp(arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2/x^4,x,24,7/12*b^2*c^4*d^2*x*sqrt(c^2*d*x^2+d)-1/3*b^2*c^2*d*(c^2*d*x^2+d)^(3/2)/x-23/12*b^2*c^3*d^2*sqrt(c^2*d*x^2+d)*arcsinh(c*x)/sqrt(c^2*x^2+1)-5/2*b*c^5*d^2*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/sqrt(c^2*x^2+1)+7/3*b*c^3*d^2*sqrt(c^2*x^2+1)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))-1/3*b*c*d^2*(c^2*x^2+1)^(3/2)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))/x^2+5/2*c^4*d^2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2-7/3*c^3*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/sqrt(c^2*x^2+1)-5/3*c^2*d*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2/x-1/3*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2/x^3+5/6*c^3*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^3/b/sqrt(c^2*x^2+1)+14/3*b*c^3*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1)+7/3*b^2*c^3*d^2*sqrt(c^2*d*x^2+d)*polylog(2,exp(2*arcsinh(c*x)))/sqrt(c^2*x^2+1),1],
[x^4*arcsinh(a*x)^2/sqrt(a^2*x^2+1),x,10,-15/64*x*sqrt(a^2*x^2+1)/a^4+1/32*x^3*sqrt(a^2*x^2+1)/a^2+15/64*arcsinh(a*x)/a^5+3/8*x^2*arcsinh(a*x)/a^3-1/8*x^4*arcsinh(a*x)/a-3/8*x*sqrt(a^2*x^2+1)*arcsinh(a*x)^2/a^4+1/4*x^3*sqrt(a^2*x^2+1)*arcsinh(a*x)^2/a^2+1/8*arcsinh(a*x)^3/a^5,1],
[x^3*arcsinh(a*x)^2/sqrt(a^2*x^2+1),x,6,-14/9*sqrt(a^2*x^2+1)/a^4+2/27*(a^2*x^2+1)^(3/2)/a^4+4/3*x*arcsinh(a*x)/a^3-2/9*x^3*arcsinh(a*x)/a-2/3*sqrt(a^2*x^2+1)*arcsinh(a*x)^2/a^4+1/3*x^2*sqrt(a^2*x^2+1)*arcsinh(a*x)^2/a^2,1],
[x^2*arcsinh(a*x)^2/sqrt(a^2*x^2+1),x,5,1/4*x*sqrt(a^2*x^2+1)/a^2-1/4*arcsinh(a*x)/a^3-1/2*x^2*arcsinh(a*x)/a+1/2*x*sqrt(a^2*x^2+1)*arcsinh(a*x)^2/a^2-1/6*arcsinh(a*x)^3/a^3,1],
[x*arcsinh(a*x)^2/sqrt(a^2*x^2+1),x,1,2*sqrt(a^2*x^2+1)/a^2-2*x*arcsinh(a*x)/a+sqrt(a^2*x^2+1)*arcsinh(a*x)^2/a^2,1],
[arcsinh(a*x)^2/sqrt(a^2*x^2+1),x,1,1/3*arcsinh(a*x)^3/a,1],
[arcsinh(a*x)^2/x/sqrt(a^2*x^2+1),x,6,-2*arcsinh(a*x)^2*arctanh(exp(arcsinh(a*x)))-2*arcsinh(a*x)*polylog(2,-exp(arcsinh(a*x)))+2*arcsinh(a*x)*polylog(2,exp(arcsinh(a*x)))+2*polylog(3,-exp(arcsinh(a*x)))-2*polylog(3,exp(arcsinh(a*x))),1],
[arcsinh(a*x)^2/x^2/sqrt(a^2*x^2+1),x,4,-a*arcsinh(a*x)^2-sqrt(a^2*x^2+1)*arcsinh(a*x)^2/x+2*a*arcsinh(a*x)*ln(1-exp(2*arcsinh(a*x)))+a*polylog(2,exp(2*arcsinh(a*x))),1],
[arcsinh(a*x)^2/x^3/sqrt(a^2*x^2+1),x,11,-a*arcsinh(a*x)/x-1/2*sqrt(a^2*x^2+1)*arcsinh(a*x)^2/x^2+a^2*arcsinh(a*x)^2*arctanh(exp(arcsinh(a*x)))-a^2*arctanh(sqrt(a^2*x^2+1))+a^2*arcsinh(a*x)*polylog(2,-exp(arcsinh(a*x)))-a^2*arcsinh(a*x)*polylog(2,exp(arcsinh(a*x)))-a^2*polylog(3,-exp(arcsinh(a*x)))+a^2*polylog(3,exp(arcsinh(a*x))),1],
[arcsinh(a*x)^2/x^4/sqrt(a^2*x^2+1),x,7,-1/3*a^2*sqrt(a^2*x^2+1)/x-1/3*a*arcsinh(a*x)/x^2+2/3*a^3*arcsinh(a*x)^2-1/3*sqrt(a^2*x^2+1)*arcsinh(a*x)^2/x^3+2/3*a^2*sqrt(a^2*x^2+1)*arcsinh(a*x)^2/x-4/3*a^3*arcsinh(a*x)*ln(1-exp(2*arcsinh(a*x)))-2/3*a^3*polylog(2,exp(2*arcsinh(a*x))),1],
[x^5*(a+b*arcsinh(c*x))^2/sqrt(c^2*d*x^2+d),x,12,298/225*b^2*sqrt(c^2*d*x^2+d)/c^6/d-76/675*b^2*(c^2*d*x^2+d)^(3/2)/c^6/d^2+2/125*b^2*(c^2*d*x^2+d)^(5/2)/c^6/d^3-16/15*b*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5/sqrt(c^2*d*x^2+d)+8/45*b*x^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3/sqrt(c^2*d*x^2+d)-2/25*b*x^5*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(c^2*d*x^2+d)+8/15*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^6/d-4/15*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^4/d+1/5*x^4*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2/d,1],
[x^4*(a+b*arcsinh(c*x))^2/sqrt(c^2*d*x^2+d),x,11,-15/64*b^2*x*sqrt(c^2*d*x^2+d)/c^4/d+1/32*b^2*x^3*sqrt(c^2*d*x^2+d)/c^2/d+15/64*b^2*sqrt(c^2*x^2+1)*arcsinh(c*x)/c^5/sqrt(c^2*d*x^2+d)+3/8*b*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3/sqrt(c^2*d*x^2+d)-1/8*b*x^4*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(c^2*d*x^2+d)-3/8*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^4/d+1/4*x^3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2/d+1/8*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c^5/sqrt(c^2*d*x^2+d),1],
[x^3*(a+b*arcsinh(c*x))^2/sqrt(c^2*d*x^2+d),x,7,-14/9*b^2*sqrt(c^2*d*x^2+d)/c^4/d+2/27*b^2*(c^2*d*x^2+d)^(3/2)/c^4/d^2+4/3*b*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3/sqrt(c^2*d*x^2+d)-2/9*b*x^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(c^2*d*x^2+d)-2/3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^4/d+1/3*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2/d,1],
[x^2*(a+b*arcsinh(c*x))^2/sqrt(c^2*d*x^2+d),x,6,1/4*b^2*x*sqrt(c^2*d*x^2+d)/c^2/d-1/4*b^2*sqrt(c^2*x^2+1)*arcsinh(c*x)/c^3/sqrt(c^2*d*x^2+d)-1/2*b*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(c^2*d*x^2+d)+1/2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2/d-1/6*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c^3/sqrt(c^2*d*x^2+d),1],
[x*(a+b*arcsinh(c*x))^2/sqrt(c^2*d*x^2+d),x,2,2*b^2*sqrt(c^2*d*x^2+d)/c^2/d-2*b*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c/sqrt(c^2*d*x^2+d)+sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^2/d,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/x/sqrt(c^2*d*x^2+d),x,7,-2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)-2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)+2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)+2*b^2*sqrt(c^2*x^2+1)*polylog(3,-exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)-2*b^2*sqrt(c^2*x^2+1)*polylog(3,exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/x^2/sqrt(c^2*d*x^2+d),x,5,-c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/sqrt(c^2*d*x^2+d)-sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/d/x+2*b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))/sqrt(c^2*d*x^2+d)+b^2*c*sqrt(c^2*x^2+1)*polylog(2,exp(2*arcsinh(c*x)))/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/x^3/sqrt(c^2*d*x^2+d),x,12,-b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/x/sqrt(c^2*d*x^2+d)-1/2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/d/x^2+c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)-b^2*c^2*sqrt(c^2*x^2+1)*arctanh(sqrt(c^2*x^2+1))/sqrt(c^2*d*x^2+d)+b*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)-b*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)-b^2*c^2*sqrt(c^2*x^2+1)*polylog(3,-exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d)+b^2*c^2*sqrt(c^2*x^2+1)*polylog(3,exp(arcsinh(c*x)))/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/x^4/sqrt(c^2*d*x^2+d),x,8,-1/3*b^2*c^2*sqrt(c^2*d*x^2+d)/d/x-1/3*b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/x^2/sqrt(c^2*d*x^2+d)+2/3*c^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/sqrt(c^2*d*x^2+d)-1/3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/d/x^3+2/3*c^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/d/x-4/3*b*c^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1-exp(2*arcsinh(c*x)))/sqrt(c^2*d*x^2+d)-2/3*b^2*c^3*sqrt(c^2*x^2+1)*polylog(2,exp(2*arcsinh(c*x)))/sqrt(c^2*d*x^2+d),1],
[x^5*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x,18,-32/9*b^2*sqrt(c^2*d*x^2+d)/c^6/d^2+2/27*b^2*(c^2*d*x^2+d)^(3/2)/c^6/d^3+10/3*b*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5/d/sqrt(c^2*d*x^2+d)-2/9*b*x^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3/d/sqrt(c^2*d*x^2+d)-x^4*(a+b*arcsinh(c*x))^2/c^2/d/sqrt(c^2*d*x^2+d)-8/3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^6/d^2+4/3*x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^4/d^2+4*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^6/d/sqrt(c^2*d*x^2+d)-2*I*b^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c^6/d/sqrt(c^2*d*x^2+d)+2*I*b^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c^6/d/sqrt(c^2*d*x^2+d),1],
[x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x,13,1/4*b^2*x*sqrt(c^2*d*x^2+d)/c^4/d^2-1/4*b^2*sqrt(c^2*x^2+1)*arcsinh(c*x)/c^5/d/sqrt(c^2*d*x^2+d)-1/2*b*x^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3/d/sqrt(c^2*d*x^2+d)-x^3*(a+b*arcsinh(c*x))^2/c^2/d/sqrt(c^2*d*x^2+d)+sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c^5/d/sqrt(c^2*d*x^2+d)+3/2*x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^4/d^2-1/2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c^5/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^5/d/sqrt(c^2*d*x^2+d)-b^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c^5/d/sqrt(c^2*d*x^2+d),1],
[x^3*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x,9,2*b^2*sqrt(c^2*d*x^2+d)/c^4/d^2-2*b*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^3/d/sqrt(c^2*d*x^2+d)-x^2*(a+b*arcsinh(c*x))^2/c^2/d/sqrt(c^2*d*x^2+d)+2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^4/d^2-4*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^4/d/sqrt(c^2*d*x^2+d)+2*I*b^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c^4/d/sqrt(c^2*d*x^2+d)-2*I*b^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c^4/d/sqrt(c^2*d*x^2+d),1],
[x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x,6,-x*(a+b*arcsinh(c*x))^2/c^2/d/sqrt(c^2*d*x^2+d)-sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c^3/d/sqrt(c^2*d*x^2+d)+1/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c^3/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^3/d/sqrt(c^2*d*x^2+d)+b^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c^3/d/sqrt(c^2*d*x^2+d),1],
[x*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x,6,-(a+b*arcsinh(c*x))^2/c^2/d/sqrt(c^2*d*x^2+d)+4*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^2/d/sqrt(c^2*d*x^2+d)-2*I*b^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c^2/d/sqrt(c^2*d*x^2+d)+2*I*b^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c^2/d/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/x/(c^2*d*x^2+d)^(3/2),x,12,(a+b*arcsinh(c*x))^2/d/sqrt(c^2*d*x^2+d)-4*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+2*I*b^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-2*I*b^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+2*b^2*sqrt(c^2*x^2+1)*polylog(3,-exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-2*b^2*sqrt(c^2*x^2+1)*polylog(3,exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/x^2/(c^2*d*x^2+d)^(3/2),x,11,-(a+b*arcsinh(c*x))^2/d/x/sqrt(c^2*d*x^2+d)-2*c^2*x*(a+b*arcsinh(c*x))^2/d/sqrt(c^2*d*x^2+d)-2*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/d/sqrt(c^2*d*x^2+d)-4*b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctanh(exp(2*arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+4*b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+b^2*c*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+b^2*c*sqrt(c^2*x^2+1)*polylog(2,exp(2*arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/x^3/(c^2*d*x^2+d)^(3/2),x,21,-b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/d/x/sqrt(c^2*d*x^2+d)-3/2*c^2*(a+b*arcsinh(c*x))^2/d/sqrt(c^2*d*x^2+d)-1/2*(a+b*arcsinh(c*x))^2/d/x^2/sqrt(c^2*d*x^2+d)+4*b*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+3*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-b^2*c^2*sqrt(c^2*x^2+1)*arctanh(sqrt(c^2*x^2+1))/d/sqrt(c^2*d*x^2+d)+3*b*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-2*I*b^2*c^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+2*I*b^2*c^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-3*b*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-3*b^2*c^2*sqrt(c^2*x^2+1)*polylog(3,-exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)+3*b^2*c^2*sqrt(c^2*x^2+1)*polylog(3,exp(arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/x^4/(c^2*d*x^2+d)^(3/2),x,20,-1/3*b^2*c^2*sqrt(c^2*d*x^2+d)/d^2/x-1/3*b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/d/x^2/sqrt(c^2*d*x^2+d)-1/3*(a+b*arcsinh(c*x))^2/d/x^3/sqrt(c^2*d*x^2+d)+4/3*c^2*(a+b*arcsinh(c*x))^2/d/x/sqrt(c^2*d*x^2+d)+8/3*c^4*x*(a+b*arcsinh(c*x))^2/d/sqrt(c^2*d*x^2+d)+8/3*c^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/d/sqrt(c^2*d*x^2+d)+20/3*b*c^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctanh(exp(2*arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-16/3*b*c^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-b^2*c^3*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d)-5/3*b^2*c^3*sqrt(c^2*x^2+1)*polylog(2,exp(2*arcsinh(c*x)))/d/sqrt(c^2*d*x^2+d),1],
[x^5*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x,20,1/3*b^2/c^6/d^2/sqrt(c^2*d*x^2+d)+2*b^2*sqrt(c^2*d*x^2+d)/c^6/d^3-1/3*b*x^3*(a+b*arcsinh(c*x))/c^3/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-5/3*b*x*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/c^5/d^2/sqrt(c^2*d*x^2+d)-1/3*x^4*(a+b*arcsinh(c*x))^2/c^2/d/(c^2*d*x^2+d)^(3/2)-4/3*x^2*(a+b*arcsinh(c*x))^2/c^4/d^2/sqrt(c^2*d*x^2+d)+8/3*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2/c^6/d^3-22/3*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^6/d^2/sqrt(c^2*d*x^2+d)+11/3*I*b^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c^6/d^2/sqrt(c^2*d*x^2+d)-11/3*I*b^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c^6/d^2/sqrt(c^2*d*x^2+d),1],
[x^4*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x,13,-1/3*b^2*x/c^4/d^2/sqrt(c^2*d*x^2+d)+1/3*b^2*sqrt(c^2*x^2+1)*arcsinh(c*x)/c^5/d^2/sqrt(c^2*d*x^2+d)-1/3*b*x^2*(a+b*arcsinh(c*x))/c^3/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-1/3*x^3*(a+b*arcsinh(c*x))^2/c^2/d/(c^2*d*x^2+d)^(3/2)-x*(a+b*arcsinh(c*x))^2/c^4/d^2/sqrt(c^2*d*x^2+d)-4/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c^5/d^2/sqrt(c^2*d*x^2+d)+1/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^3/b/c^5/d^2/sqrt(c^2*d*x^2+d)+8/3*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c^5/d^2/sqrt(c^2*d*x^2+d)+4/3*b^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c^5/d^2/sqrt(c^2*d*x^2+d),1],
[x^3*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x,13,-1/3*b^2/c^4/d^2/sqrt(c^2*d*x^2+d)-1/3*b*x*(a+b*arcsinh(c*x))/c^3/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-1/3*x^2*(a+b*arcsinh(c*x))^2/c^2/d/(c^2*d*x^2+d)^(3/2)-2/3*(a+b*arcsinh(c*x))^2/c^4/d^2/sqrt(c^2*d*x^2+d)+10/3*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^4/d^2/sqrt(c^2*d*x^2+d)-5/3*I*b^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c^4/d^2/sqrt(c^2*d*x^2+d)+5/3*I*b^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c^4/d^2/sqrt(c^2*d*x^2+d),1],
[x^2*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x,8,1/3*b^2*x/c^2/d^2/sqrt(c^2*d*x^2+d)-1/3*b^2*sqrt(c^2*x^2+1)*arcsinh(c*x)/c^3/d^2/sqrt(c^2*d*x^2+d)+1/3*b*x^2*(a+b*arcsinh(c*x))/c/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)+1/3*x^3*(a+b*arcsinh(c*x))^2/d/(c^2*d*x^2+d)^(3/2)+1/3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/c^3/d^2/sqrt(c^2*d*x^2+d)-2/3*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/c^3/d^2/sqrt(c^2*d*x^2+d)-1/3*b^2*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/c^3/d^2/sqrt(c^2*d*x^2+d),1],
[x*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x,8,1/3*b^2/c^2/d^2/sqrt(c^2*d*x^2+d)+1/3*b*x*(a+b*arcsinh(c*x))/c/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-1/3*(a+b*arcsinh(c*x))^2/c^2/d/(c^2*d*x^2+d)^(3/2)+2/3*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/c^2/d^2/sqrt(c^2*d*x^2+d)-1/3*I*b^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/c^2/d^2/sqrt(c^2*d*x^2+d)+1/3*I*b^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/c^2/d^2/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+b*arcsinh(c*x))^2/x/(c^2*d*x^2+d)^(5/2),x,19,-1/3*b^2/d^2/sqrt(c^2*d*x^2+d)-1/3*b*c*x*(a+b*arcsinh(c*x))/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)+1/3*(a+b*arcsinh(c*x))^2/d/(c^2*d*x^2+d)^(3/2)+(a+b*arcsinh(c*x))^2/d^2/sqrt(c^2*d*x^2+d)-14/3*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+7/3*I*b^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-7/3*I*b^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+2*b*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+2*b^2*sqrt(c^2*x^2+1)*polylog(3,-exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-2*b^2*sqrt(c^2*x^2+1)*polylog(3,exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/x^2/(c^2*d*x^2+d)^(5/2),x,16,1/3*b^2*c^2*x/d^2/sqrt(c^2*d*x^2+d)-1/3*b*c*(a+b*arcsinh(c*x))/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-(a+b*arcsinh(c*x))^2/d/x/(c^2*d*x^2+d)^(3/2)-4/3*c^2*x*(a+b*arcsinh(c*x))^2/d/(c^2*d*x^2+d)^(3/2)-8/3*c^2*x*(a+b*arcsinh(c*x))^2/d^2/sqrt(c^2*d*x^2+d)-8/3*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/d^2/sqrt(c^2*d*x^2+d)-4*b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctanh(exp(2*arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+16/3*b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+5/3*b^2*c*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+b^2*c*sqrt(c^2*x^2+1)*polylog(2,exp(2*arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/x^3/(c^2*d*x^2+d)^(5/2),x,30,1/3*b^2*c^2/d^2/sqrt(c^2*d*x^2+d)+1/3*b*c^3*x*(a+b*arcsinh(c*x))/d^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-b*c*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/d^2/x/sqrt(c^2*d*x^2+d)-5/6*c^2*(a+b*arcsinh(c*x))^2/d/(c^2*d*x^2+d)^(3/2)-1/2*(a+b*arcsinh(c*x))^2/d/x^2/(c^2*d*x^2+d)^(3/2)-5/2*c^2*(a+b*arcsinh(c*x))^2/d^2/sqrt(c^2*d*x^2+d)+26/3*b*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctan(exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+5*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2*arctanh(exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-b^2*c^2*sqrt(c^2*x^2+1)*arctanh(sqrt(c^2*x^2+1))/d^2/sqrt(c^2*d*x^2+d)+5*b*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,-exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-13/3*I*b^2*c^2*sqrt(c^2*x^2+1)*polylog(2,-I*exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+13/3*I*b^2*c^2*sqrt(c^2*x^2+1)*polylog(2,I*exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-5*b*c^2*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*polylog(2,exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-5*b^2*c^2*sqrt(c^2*x^2+1)*polylog(3,-exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)+5*b^2*c^2*sqrt(c^2*x^2+1)*polylog(3,exp(arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d),1],
[(a+b*arcsinh(c*x))^2/x^4/(c^2*d*x^2+d)^(5/2),x,25,1/3*b^2*c^2/d^2/x/sqrt(c^2*d*x^2+d)-2/3*b^2*c^2*sqrt(c^2*d*x^2+d)/d^3/x-1/3*b*c*(a+b*arcsinh(c*x))/d^2/x^2/sqrt(c^2*x^2+1)/sqrt(c^2*d*x^2+d)-1/3*(a+b*arcsinh(c*x))^2/d/x^3/(c^2*d*x^2+d)^(3/2)+2*c^2*(a+b*arcsinh(c*x))^2/d/x/(c^2*d*x^2+d)^(3/2)+8/3*c^4*x*(a+b*arcsinh(c*x))^2/d/(c^2*d*x^2+d)^(3/2)+16/3*c^4*x*(a+b*arcsinh(c*x))^2/d^2/sqrt(c^2*d*x^2+d)+16/3*c^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/d^2/sqrt(c^2*d*x^2+d)+32/3*b*c^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*arctanh(exp(2*arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-32/3*b*c^3*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))*ln(1+exp(2*arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-8/3*b^2*c^3*sqrt(c^2*x^2+1)*polylog(2,-exp(2*arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d)-8/3*b^2*c^3*sqrt(c^2*x^2+1)*polylog(2,exp(2*arcsinh(c*x)))/d^2/sqrt(c^2*d*x^2+d),1],
[x^m*(c^2*d*x^2+d)^3*(a+b*arcsinh(c*x))^2,x,23,12*b^2*c^2*d^3*x^(3+m)/(3+m)/(5+m)^2/(7+m)+48*b^2*c^2*d^3*x^(3+m)/(3+m)^3/(5+m)/(7+m)-10*b*c*d^3*x^(2+m)*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/(5+m)/(7+m)^2-12*b*c*d^3*x^(2+m)*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/(5+m)^2/(7+m)-30*b*c*d^3*x^(2+m)*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/(7+m)^2/(m^2+8*m+15)+d^3*x^(1+m)*(c^2*x^2+1)^3*(a+b*arcsinh(c*x))^2/(7+m)-2*b*c*d^3*x^(2+m)*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))/(7+m)^2+30*b^2*c^2*d^3*x^(3+m)*hypergeom([1, 3/2+1/2*m, 3/2+1/2*m],[2+1/2*m, 5/2+1/2*m],-c^2*x^2)/(2+m)/(3+m)^2/(5+m)/(7+m)^2+36*b^2*c^2*d^3*x^(3+m)*hypergeom([1, 3/2+1/2*m, 3/2+1/2*m],[2+1/2*m, 5/2+1/2*m],-c^2*x^2)/(2+m)/(3+m)^2/(5+m)^2/(7+m)+48*b^2*c^2*d^3*x^(3+m)*hypergeom([1, 3/2+1/2*m, 3/2+1/2*m],[2+1/2*m, 5/2+1/2*m],-c^2*x^2)/(2+m)/(3+m)^3/(5+m)/(7+m)+96*b^2*c^2*d^3*x^(3+m)*hypergeom([1, 3/2+1/2*m, 3/2+1/2*m],[2+1/2*m, 5/2+1/2*m],-c^2*x^2)/(3+m)^2/(5+m)/(7+m)/(m^2+3*m+2)-30*b*c*d^3*x^(2+m)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(5+m)/(7+m)^2/(m^2+5*m+6)-36*b*c*d^3*x^(2+m)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(5+m)^2/(7+m)/(m^2+5*m+6)-96*b*c*d^3*x^(2+m)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(5+m)/(7+m)/(m^3+6*m^2+11*m+6)-48*b*c*d^3*x^(2+m)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(2+m)/(3+m)^2/(5+m)/(7+m)-36*b*c*d^3*x^(2+m)*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/(3+m)/(5+m)^2/(7+m)-48*b*c*d^3*x^(2+m)*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/(3+m)^2/(5+m)/(7+m)+2*b^2*c^2*d^3*x^(3+m)/(3+m)/(7+m)^2+10*b^2*c^2*d^3*x^(3+m)/(7+m)^2/(m^2+8*m+15)+10*b^2*c^4*d^3*x^(5+m)/(5+m)^2/(7+m)^2+4*b^2*c^4*d^3*x^(5+m)/(5+m)/(7+m)^2+12*b^2*c^4*d^3*x^(5+m)/(5+m)^3/(7+m)+48*d^3*x^(1+m)*(a+b*arcsinh(c*x))^2/(5+m)/(7+m)/(m^2+4*m+3)+24*d^3*x^(1+m)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(7+m)/(m^2+8*m+15)+6*d^3*x^(1+m)*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/(5+m)/(7+m)+2*b^2*c^6*d^3*x^(7+m)/(7+m)^3+30*b^2*c^2*d^3*x^(3+m)/(3+m)^2/(5+m)/(7+m)^2+36*b^2*c^2*d^3*x^(3+m)/(3+m)^2/(5+m)^2/(7+m),1],
[x^m*(c^2*d*x^2+d)^2*(a+b*arcsinh(c*x))^2,x,13,6*b^2*c^2*d^2*x^(3+m)/(3+m)^2/(5+m)^2+2*b^2*c^2*d^2*x^(3+m)/(3+m)/(5+m)^2+8*b^2*c^2*d^2*x^(3+m)/(3+m)^3/(5+m)+2*b^2*c^4*d^2*x^(5+m)/(5+m)^3-6*b*c*d^2*x^(2+m)*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/(3+m)/(5+m)^2-8*b*c*d^2*x^(2+m)*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/(3+m)^2/(5+m)-2*b*c*d^2*x^(2+m)*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))/(5+m)^2+8*d^2*x^(1+m)*(a+b*arcsinh(c*x))^2/(5+m)/(m^2+4*m+3)+4*d^2*x^(1+m)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(m^2+8*m+15)+d^2*x^(1+m)*(c^2*x^2+1)^2*(a+b*arcsinh(c*x))^2/(5+m)-8*b*c*d^2*x^(2+m)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(2+m)/(3+m)^2/(5+m)-6*b*c*d^2*x^(2+m)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(5+m)^2/(m^2+5*m+6)-16*b*c*d^2*x^(2+m)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(5+m)/(m^3+6*m^2+11*m+6)+6*b^2*c^2*d^2*x^(3+m)*hypergeom([1, 3/2+1/2*m, 3/2+1/2*m],[2+1/2*m, 5/2+1/2*m],-c^2*x^2)/(2+m)/(3+m)^2/(5+m)^2+8*b^2*c^2*d^2*x^(3+m)*hypergeom([1, 3/2+1/2*m, 3/2+1/2*m],[2+1/2*m, 5/2+1/2*m],-c^2*x^2)/(2+m)/(3+m)^3/(5+m)+16*b^2*c^2*d^2*x^(3+m)*hypergeom([1, 3/2+1/2*m, 3/2+1/2*m],[2+1/2*m, 5/2+1/2*m],-c^2*x^2)/(3+m)^2/(5+m)/(m^2+3*m+2),1],
[x^m*(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,6,2*b^2*c^2*d*x^(3+m)/(3+m)^3-2*b*c*d*x^(2+m)*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))/(3+m)^2+2*d*x^(1+m)*(a+b*arcsinh(c*x))^2/(m^2+4*m+3)+d*x^(1+m)*(c^2*x^2+1)*(a+b*arcsinh(c*x))^2/(3+m)-2*b*c*d*x^(2+m)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(2+m)/(3+m)^2-4*b*c*d*x^(2+m)*(a+b*arcsinh(c*x))*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-c^2*x^2)/(m^3+6*m^2+11*m+6)+2*b^2*c^2*d*x^(3+m)*hypergeom([1, 3/2+1/2*m, 3/2+1/2*m],[2+1/2*m, 5/2+1/2*m],-c^2*x^2)/(2+m)/(3+m)^3+4*b^2*c^2*d*x^(3+m)*hypergeom([1, 3/2+1/2*m, 3/2+1/2*m],[2+1/2*m, 5/2+1/2*m],-c^2*x^2)/(3+m)^2/(m^2+3*m+2),1],
[x^m*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x,0,Defer(Int)(x^m*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d),x),0],
[x^m*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x,0,Defer(Int)(x^m*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^2,x),0],
[x^m*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x,0,Defer(Int)(x^m*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^3,x),0],
[x^m*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^2,x,1,d^2*sqrt(c^2*d*x^2+d)*Defer(Int)(x^m*(c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))^2,x)/sqrt(c^2*x^2+1),0],
[x^m*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^2,x,1,d*sqrt(c^2*d*x^2+d)*Defer(Int)(x^m*(c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^2,x)/sqrt(c^2*x^2+1),0],
[x^m*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^2,x,1,sqrt(c^2*d*x^2+d)*Defer(Int)(x^m*sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^2,x)/sqrt(c^2*x^2+1),0],
[x^m*(a+b*arcsinh(c*x))^2/sqrt(c^2*d*x^2+d),x,1,sqrt(c^2*x^2+1)*Defer(Int)(x^m*(a+b*arcsinh(c*x))^2/sqrt(c^2*x^2+1),x)/sqrt(c^2*d*x^2+d),0],
[x^m*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(3/2),x,1,sqrt(c^2*x^2+1)*Defer(Int)(x^m*(a+b*arcsinh(c*x))^2/(c^2*x^2+1)^(3/2),x)/d/sqrt(c^2*d*x^2+d),0],
[x^m*(a+b*arcsinh(c*x))^2/(c^2*d*x^2+d)^(5/2),x,1,sqrt(c^2*x^2+1)*Defer(Int)(x^m*(a+b*arcsinh(c*x))^2/(c^2*x^2+1)^(5/2),x)/d^2/sqrt(c^2*d*x^2+d),0],
[x^m*arcsinh(a*x)^2/sqrt(a^2*x^2+1),x,0,Defer(Int)(x^m*arcsinh(a*x)^2/sqrt(a^2*x^2+1),x),0],
[x^m*arcsinh(a*x)^3/sqrt(a^2*x^2+1),x,0,Defer(Int)(x^m*arcsinh(a*x)^3/sqrt(a^2*x^2+1),x),0],
[x^4*arcsinh(a*x)^3/sqrt(a^2*x^2+1),x,13,45/128*x^2/a^3-3/128*x^4/a-45/64*x*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^4+3/32*x^3*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2+45/128*arcsinh(a*x)^2/a^5+9/16*x^2*arcsinh(a*x)^2/a^3-3/16*x^4*arcsinh(a*x)^2/a-3/8*x*sqrt(a^2*x^2+1)*arcsinh(a*x)^3/a^4+1/4*x^3*sqrt(a^2*x^2+1)*arcsinh(a*x)^3/a^2+3/32*arcsinh(a*x)^4/a^5,1],
[x^3*arcsinh(a*x)^3/sqrt(a^2*x^2+1),x,10,40/9*x/a^3-2/27*x^3/a-40/9*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^4+2/9*x^2*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2+2*x*arcsinh(a*x)^2/a^3-1/3*x^3*arcsinh(a*x)^2/a-2/3*sqrt(a^2*x^2+1)*arcsinh(a*x)^3/a^4+1/3*x^2*sqrt(a^2*x^2+1)*arcsinh(a*x)^3/a^2,1],
[x^2*arcsinh(a*x)^3/sqrt(a^2*x^2+1),x,6,-3/8*x^2/a+3/4*x*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2-3/8*arcsinh(a*x)^2/a^3-3/4*x^2*arcsinh(a*x)^2/a+1/2*x*sqrt(a^2*x^2+1)*arcsinh(a*x)^3/a^2-1/8*arcsinh(a*x)^4/a^3,1],
[x*arcsinh(a*x)^3/sqrt(a^2*x^2+1),x,4,-6*x/a+6*sqrt(a^2*x^2+1)*arcsinh(a*x)/a^2-3*x*arcsinh(a*x)^2/a+sqrt(a^2*x^2+1)*arcsinh(a*x)^3/a^2,1],
[arcsinh(a*x)^3/sqrt(a^2*x^2+1),x,1,1/4*arcsinh(a*x)^4/a,1],
[arcsinh(a*x)^3/x/sqrt(a^2*x^2+1),x,8,-2*arcsinh(a*x)^3*arctanh(exp(arcsinh(a*x)))-3*arcsinh(a*x)^2*polylog(2,-exp(arcsinh(a*x)))+3*arcsinh(a*x)^2*polylog(2,exp(arcsinh(a*x)))+6*arcsinh(a*x)*polylog(3,-exp(arcsinh(a*x)))-6*arcsinh(a*x)*polylog(3,exp(arcsinh(a*x)))-6*polylog(4,-exp(arcsinh(a*x)))+6*polylog(4,exp(arcsinh(a*x))),1],
[arcsinh(a*x)^3/x^2/sqrt(a^2*x^2+1),x,5,-a*arcsinh(a*x)^3-sqrt(a^2*x^2+1)*arcsinh(a*x)^3/x+3*a*arcsinh(a*x)^2*ln(1-exp(2*arcsinh(a*x)))+3*a*arcsinh(a*x)*polylog(2,exp(2*arcsinh(a*x)))-3/2*a*polylog(3,exp(2*arcsinh(a*x))),1],
[arcsinh(a*x)^3/x^3/sqrt(a^2*x^2+1),x,14,-3/2*a*arcsinh(a*x)^2/x-1/2*sqrt(a^2*x^2+1)*arcsinh(a*x)^3/x^2-6*a^2*arcsinh(a*x)*arctanh(exp(arcsinh(a*x)))+a^2*arcsinh(a*x)^3*arctanh(exp(arcsinh(a*x)))-3*a^2*polylog(2,-exp(arcsinh(a*x)))+3/2*a^2*arcsinh(a*x)^2*polylog(2,-exp(arcsinh(a*x)))+3*a^2*polylog(2,exp(arcsinh(a*x)))-3/2*a^2*arcsinh(a*x)^2*polylog(2,exp(arcsinh(a*x)))-3*a^2*arcsinh(a*x)*polylog(3,-exp(arcsinh(a*x)))+3*a^2*arcsinh(a*x)*polylog(3,exp(arcsinh(a*x)))+3*a^2*polylog(4,-exp(arcsinh(a*x)))-3*a^2*polylog(4,exp(arcsinh(a*x))),1],
[x^4*sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,12,-1/32*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c^5-1/16*cosh(4*a/b)*Chi(4*(a+b*arcsinh(c*x))/b)/b/c^5+1/32*cosh(6*a/b)*Chi(6*(a+b*arcsinh(c*x))/b)/b/c^5+1/16*ln(a+b*arcsinh(c*x))/b/c^5+1/32*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c^5+1/16*sinh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b/c^5-1/32*sinh(6*a/b)*Shi(6*(a+b*arcsinh(c*x))/b)/b/c^5,1],
[x^3*sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,12,1/8*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b/c^4+1/16*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b/c^4-1/16*Chi(5*(a+b*arcsinh(c*x))/b)*sinh(5*a/b)/b/c^4-1/8*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^4-1/16*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^4+1/16*cosh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b/c^4,1],
[x^2*sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,6,1/8*cosh(4*a/b)*Chi(4*(a+b*arcsinh(c*x))/b)/b/c^3-1/8*ln(a+b*arcsinh(c*x))/b/c^3-1/8*sinh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b/c^3,1],
[x*sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,9,-1/4*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b/c^2-1/4*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b/c^2+1/4*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^2+1/4*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^2,1],
[sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,6,1/2*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c+1/2*ln(a+b*arcsinh(c*x))/b/c-1/2*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c,1],
[sqrt(c^2*x^2+1)/x/(a+b*arcsinh(c*x)),x,0,Defer(Int)(sqrt(c^2*x^2+1)/x/(a+b*arcsinh(c*x)),x),0],
[sqrt(c^2*x^2+1)/x^2/(a+b*arcsinh(c*x)),x,0,Defer(Int)(sqrt(c^2*x^2+1)/x^2/(a+b*arcsinh(c*x)),x),0],
[sqrt(c^2*x^2+1)/x^3/(a+b*arcsinh(c*x)),x,0,Defer(Int)(sqrt(c^2*x^2+1)/x^3/(a+b*arcsinh(c*x)),x),0],
[x^3*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x,15,3/64*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b/c^4+3/64*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b/c^4-1/64*Chi(5*(a+b*arcsinh(c*x))/b)*sinh(5*a/b)/b/c^4-1/64*Chi(7*(a+b*arcsinh(c*x))/b)*sinh(7*a/b)/b/c^4-3/64*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^4-3/64*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^4+1/64*cosh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b/c^4+1/64*cosh(7*a/b)*Shi(7*(a+b*arcsinh(c*x))/b)/b/c^4,1],
[x^2*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x,12,-1/32*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c^3+1/16*cosh(4*a/b)*Chi(4*(a+b*arcsinh(c*x))/b)/b/c^3+1/32*cosh(6*a/b)*Chi(6*(a+b*arcsinh(c*x))/b)/b/c^3-1/16*ln(a+b*arcsinh(c*x))/b/c^3+1/32*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c^3-1/16*sinh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b/c^3-1/32*sinh(6*a/b)*Shi(6*(a+b*arcsinh(c*x))/b)/b/c^3,1],
[x*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x,12,-1/8*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b/c^2-3/16*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b/c^2-1/16*Chi(5*(a+b*arcsinh(c*x))/b)*sinh(5*a/b)/b/c^2+1/8*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^2+3/16*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^2+1/16*cosh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b/c^2,1],
[(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x,9,1/2*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c+1/8*cosh(4*a/b)*Chi(4*(a+b*arcsinh(c*x))/b)/b/c+3/8*ln(a+b*arcsinh(c*x))/b/c-1/2*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c-1/8*sinh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b/c,1],
[(c^2*x^2+1)^(3/2)/x/(a+b*arcsinh(c*x)),x,0,Defer(Int)((c^2*x^2+1)^(3/2)/x/(a+b*arcsinh(c*x)),x),0],
[(c^2*x^2+1)^(3/2)/x^2/(a+b*arcsinh(c*x)),x,0,Defer(Int)((c^2*x^2+1)^(3/2)/x^2/(a+b*arcsinh(c*x)),x),0],
[(c^2*x^2+1)^(3/2)/x^3/(a+b*arcsinh(c*x)),x,0,Defer(Int)((c^2*x^2+1)^(3/2)/x^3/(a+b*arcsinh(c*x)),x),0],
[x^3*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x)),x,15,3/128*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b/c^4+1/32*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b/c^4-3/256*Chi(7*(a+b*arcsinh(c*x))/b)*sinh(7*a/b)/b/c^4-1/256*Chi(9*(a+b*arcsinh(c*x))/b)*sinh(9*a/b)/b/c^4-3/128*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^4-1/32*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^4+3/256*cosh(7*a/b)*Shi(7*(a+b*arcsinh(c*x))/b)/b/c^4+1/256*cosh(9*a/b)*Shi(9*(a+b*arcsinh(c*x))/b)/b/c^4,1],
[x^2*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x)),x,15,-1/32*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c^3+1/32*cosh(4*a/b)*Chi(4*(a+b*arcsinh(c*x))/b)/b/c^3+1/32*cosh(6*a/b)*Chi(6*(a+b*arcsinh(c*x))/b)/b/c^3+1/128*cosh(8*a/b)*Chi(8*(a+b*arcsinh(c*x))/b)/b/c^3-5/128*ln(a+b*arcsinh(c*x))/b/c^3+1/32*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c^3-1/32*sinh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b/c^3-1/32*sinh(6*a/b)*Shi(6*(a+b*arcsinh(c*x))/b)/b/c^3-1/128*sinh(8*a/b)*Shi(8*(a+b*arcsinh(c*x))/b)/b/c^3,1],
[x*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x)),x,15,-5/64*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b/c^2-9/64*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b/c^2-5/64*Chi(5*(a+b*arcsinh(c*x))/b)*sinh(5*a/b)/b/c^2-1/64*Chi(7*(a+b*arcsinh(c*x))/b)*sinh(7*a/b)/b/c^2+5/64*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^2+9/64*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^2+5/64*cosh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b/c^2+1/64*cosh(7*a/b)*Shi(7*(a+b*arcsinh(c*x))/b)/b/c^2,1],
[(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x)),x,12,15/32*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c+3/16*cosh(4*a/b)*Chi(4*(a+b*arcsinh(c*x))/b)/b/c+1/32*cosh(6*a/b)*Chi(6*(a+b*arcsinh(c*x))/b)/b/c+5/16*ln(a+b*arcsinh(c*x))/b/c-15/32*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c-3/16*sinh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b/c-1/32*sinh(6*a/b)*Shi(6*(a+b*arcsinh(c*x))/b)/b/c,1],
[(c^2*x^2+1)^(5/2)/x/(a+b*arcsinh(c*x)),x,0,Defer(Int)((c^2*x^2+1)^(5/2)/x/(a+b*arcsinh(c*x)),x),0],
[(c^2*x^2+1)^(5/2)/x^2/(a+b*arcsinh(c*x)),x,0,Defer(Int)((c^2*x^2+1)^(5/2)/x^2/(a+b*arcsinh(c*x)),x),0],
[(c^2*x^2+1)^(5/2)/x^3/(a+b*arcsinh(c*x)),x,0,Defer(Int)((c^2*x^2+1)^(5/2)/x^3/(a+b*arcsinh(c*x)),x),0],
[x^4/sqrt(a^2*x^2+1)/arcsinh(a*x),x,5,-1/2*Chi(2*arcsinh(a*x))/a^5+1/8*Chi(4*arcsinh(a*x))/a^5+3/8*ln(arcsinh(a*x))/a^5,1],
[x^3/sqrt(a^2*x^2+1)/arcsinh(a*x),x,5,-3/4*Shi(arcsinh(a*x))/a^4+1/4*Shi(3*arcsinh(a*x))/a^4,1],
[x^2/sqrt(a^2*x^2+1)/arcsinh(a*x),x,4,1/2*Chi(2*arcsinh(a*x))/a^3-1/2*ln(arcsinh(a*x))/a^3,1],
[x^2/sqrt(a^2*x^2+1)/arcsinh(a*x),x,4,1/2*Chi(2*arcsinh(a*x))/a^3-1/2*ln(arcsinh(a*x))/a^3,1],
[x/sqrt(a^2*x^2+1)/arcsinh(a*x),x,2,Shi(arcsinh(a*x))/a^2,1],
[1/sqrt(a^2*x^2+1)/arcsinh(a*x),x,1,ln(arcsinh(a*x))/a,1],
[1/x/sqrt(a^2*x^2+1)/arcsinh(a*x),x,0,Defer(Int)(1/x/sqrt(a^2*x^2+1)/arcsinh(a*x),x),0],
[1/x^2/sqrt(a^2*x^2+1)/arcsinh(a*x),x,0,Defer(Int)(1/x^2/sqrt(a^2*x^2+1)/arcsinh(a*x),x),0],
[x^5/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,12,-5/8*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b/c^6+5/16*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b/c^6-1/16*Chi(5*(a+b*arcsinh(c*x))/b)*sinh(5*a/b)/b/c^6+5/8*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^6-5/16*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^6+1/16*cosh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b/c^6,1],
[x^4/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,9,-1/2*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c^5+1/8*cosh(4*a/b)*Chi(4*(a+b*arcsinh(c*x))/b)/b/c^5+3/8*ln(a+b*arcsinh(c*x))/b/c^5+1/2*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c^5-1/8*sinh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b/c^5,1],
[x^3/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,9,3/4*Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b/c^4-1/4*Chi(3*(a+b*arcsinh(c*x))/b)*sinh(3*a/b)/b/c^4-3/4*cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^4+1/4*cosh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b/c^4,1],
[x^2/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,6,1/2*cosh(2*a/b)*Chi(2*(a+b*arcsinh(c*x))/b)/b/c^3-1/2*ln(a+b*arcsinh(c*x))/b/c^3-1/2*sinh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b/c^3,1],
[x/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,4,-Chi((a+b*arcsinh(c*x))/b)*sinh(a/b)/b/c^2+cosh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b/c^2,1],
[1/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,1,ln(a+b*arcsinh(c*x))/b/c,1],
[1/x/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/x/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x),0],
[1/x^2/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/x^2/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x)),x),0],
[x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x),0],
[x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x),0],
[1/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x),0],
[1/x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x),0],
[1/x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x,0,Defer(Int)(1/x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x)),x),0],
[(f*x)^m*(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x)),x,2,Defer(Int)((f*x)^m*(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x)),x),0],
[(f*x)^m*sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x)),x,2,Defer(Int)((f*x)^m*sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x)),x),0],
[(f*x)^m/sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x)),x,2,Defer(Int)((f*x)^m/sqrt(c^2*d*x^2+d)/(a+b*arcsinh(c*x)),x),0],
[(f*x)^m/(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x)),x,1,Defer(Int)((f*x)^m/(c^2*d*x^2+d)^(3/2)/(a+b*arcsinh(c*x)),x),0],
[x^3*sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,22,-x^3*(c^2*x^2+1)/b/c/(a+b*arcsinh(c*x))-1/8*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b^2/c^4-3/16*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b^2/c^4+5/16*cosh(5*a/b)*Chi(5*(a+b*arcsinh(c*x))/b)/b^2/c^4+1/8*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^4+3/16*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^4-5/16*sinh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b^2/c^4,1],
[x^2*sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,16,-x^2*(c^2*x^2+1)/b/c/(a+b*arcsinh(c*x))-1/2*Chi(4*(a+b*arcsinh(c*x))/b)*sinh(4*a/b)/b^2/c^3+1/2*cosh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b^2/c^3,1],
[x*sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,14,-x*(c^2*x^2+1)/b/c/(a+b*arcsinh(c*x))+1/4*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b^2/c^2+3/4*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b^2/c^2-1/4*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^2-3/4*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^2,1],
[sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,7,-(c^2*x^2+1)/b/c/(a+b*arcsinh(c*x))-Chi(2*(a+b*arcsinh(c*x))/b)*sinh(2*a/b)/b^2/c+cosh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b^2/c,1],
[sqrt(c^2*x^2+1)/x/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(sqrt(c^2*x^2+1)/x/(a+b*arcsinh(c*x))^2,x),0],
[sqrt(c^2*x^2+1)/x^2/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(sqrt(c^2*x^2+1)/x^2/(a+b*arcsinh(c*x))^2,x),0],
[sqrt(c^2*x^2+1)/x^3/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(sqrt(c^2*x^2+1)/x^3/(a+b*arcsinh(c*x))^2,x),0],
[sqrt(c^2*x^2+1)/x^4/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(sqrt(c^2*x^2+1)/x^4/(a+b*arcsinh(c*x))^2,x),0],
[x^3*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,28,-x^3*(c^2*x^2+1)^2/b/c/(a+b*arcsinh(c*x))-3/64*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b^2/c^4-9/64*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b^2/c^4+5/64*cosh(5*a/b)*Chi(5*(a+b*arcsinh(c*x))/b)/b^2/c^4+7/64*cosh(7*a/b)*Chi(7*(a+b*arcsinh(c*x))/b)/b^2/c^4+3/64*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^4+9/64*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^4-5/64*sinh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b^2/c^4-7/64*sinh(7*a/b)*Shi(7*(a+b*arcsinh(c*x))/b)/b^2/c^4,1],
[x^2*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,19,-x^2*(c^2*x^2+1)^2/b/c/(a+b*arcsinh(c*x))+1/16*Chi(2*(a+b*arcsinh(c*x))/b)*sinh(2*a/b)/b^2/c^3-1/4*Chi(4*(a+b*arcsinh(c*x))/b)*sinh(4*a/b)/b^2/c^3-3/16*Chi(6*(a+b*arcsinh(c*x))/b)*sinh(6*a/b)/b^2/c^3-1/16*cosh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b^2/c^3+1/4*cosh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b^2/c^3+3/16*cosh(6*a/b)*Shi(6*(a+b*arcsinh(c*x))/b)/b^2/c^3,1],
[x*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,22,-x*(c^2*x^2+1)^2/b/c/(a+b*arcsinh(c*x))+1/8*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b^2/c^2+9/16*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b^2/c^2+5/16*cosh(5*a/b)*Chi(5*(a+b*arcsinh(c*x))/b)/b^2/c^2-1/8*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^2-9/16*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^2-5/16*sinh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b^2/c^2,1],
[(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,10,-(c^2*x^2+1)^2/b/c/(a+b*arcsinh(c*x))-Chi(2*(a+b*arcsinh(c*x))/b)*sinh(2*a/b)/b^2/c-1/2*Chi(4*(a+b*arcsinh(c*x))/b)*sinh(4*a/b)/b^2/c+cosh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b^2/c+1/2*cosh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b^2/c,1],
[(c^2*x^2+1)^(3/2)/x/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)((c^2*x^2+1)^(3/2)/x/(a+b*arcsinh(c*x))^2,x),0],
[(c^2*x^2+1)^(3/2)/x^2/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)((c^2*x^2+1)^(3/2)/x^2/(a+b*arcsinh(c*x))^2,x),0],
[(c^2*x^2+1)^(3/2)/x^3/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)((c^2*x^2+1)^(3/2)/x^3/(a+b*arcsinh(c*x))^2,x),0],
[(c^2*x^2+1)^(3/2)/x^4/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)((c^2*x^2+1)^(3/2)/x^4/(a+b*arcsinh(c*x))^2,x),0],
[x^3*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,34,-x^3*(c^2*x^2+1)^3/b/c/(a+b*arcsinh(c*x))-3/128*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b^2/c^4-3/32*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b^2/c^4+21/256*cosh(7*a/b)*Chi(7*(a+b*arcsinh(c*x))/b)/b^2/c^4+9/256*cosh(9*a/b)*Chi(9*(a+b*arcsinh(c*x))/b)/b^2/c^4+3/128*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^4+3/32*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^4-21/256*sinh(7*a/b)*Shi(7*(a+b*arcsinh(c*x))/b)/b^2/c^4-9/256*sinh(9*a/b)*Shi(9*(a+b*arcsinh(c*x))/b)/b^2/c^4,1],
[x^2*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,28,-x^2*(c^2*x^2+1)^3/b/c/(a+b*arcsinh(c*x))+1/16*Chi(2*(a+b*arcsinh(c*x))/b)*sinh(2*a/b)/b^2/c^3-1/8*Chi(4*(a+b*arcsinh(c*x))/b)*sinh(4*a/b)/b^2/c^3-3/16*Chi(6*(a+b*arcsinh(c*x))/b)*sinh(6*a/b)/b^2/c^3-1/16*Chi(8*(a+b*arcsinh(c*x))/b)*sinh(8*a/b)/b^2/c^3-1/16*cosh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b^2/c^3+1/8*cosh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b^2/c^3+3/16*cosh(6*a/b)*Shi(6*(a+b*arcsinh(c*x))/b)/b^2/c^3+1/16*cosh(8*a/b)*Shi(8*(a+b*arcsinh(c*x))/b)/b^2/c^3,1],
[x*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,28,-x*(c^2*x^2+1)^3/b/c/(a+b*arcsinh(c*x))+5/64*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b^2/c^2+27/64*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b^2/c^2+25/64*cosh(5*a/b)*Chi(5*(a+b*arcsinh(c*x))/b)/b^2/c^2+7/64*cosh(7*a/b)*Chi(7*(a+b*arcsinh(c*x))/b)/b^2/c^2-5/64*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^2-27/64*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^2-25/64*sinh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b^2/c^2-7/64*sinh(7*a/b)*Shi(7*(a+b*arcsinh(c*x))/b)/b^2/c^2,1],
[(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,13,-(c^2*x^2+1)^3/b/c/(a+b*arcsinh(c*x))-15/16*Chi(2*(a+b*arcsinh(c*x))/b)*sinh(2*a/b)/b^2/c-3/4*Chi(4*(a+b*arcsinh(c*x))/b)*sinh(4*a/b)/b^2/c-3/16*Chi(6*(a+b*arcsinh(c*x))/b)*sinh(6*a/b)/b^2/c+15/16*cosh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b^2/c+3/4*cosh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b^2/c+3/16*cosh(6*a/b)*Shi(6*(a+b*arcsinh(c*x))/b)/b^2/c,1],
[(c^2*x^2+1)^(5/2)/x/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)((c^2*x^2+1)^(5/2)/x/(a+b*arcsinh(c*x))^2,x),0],
[(c^2*x^2+1)^(5/2)/x^2/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)((c^2*x^2+1)^(5/2)/x^2/(a+b*arcsinh(c*x))^2,x),0],
[(c^2*x^2+1)^(5/2)/x^3/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)((c^2*x^2+1)^(5/2)/x^3/(a+b*arcsinh(c*x))^2,x),0],
[(c^2*x^2+1)^(5/2)/x^4/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)((c^2*x^2+1)^(5/2)/x^4/(a+b*arcsinh(c*x))^2,x),0],
[x^5/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,13,-x^5/b/c/(a+b*arcsinh(c*x))+5/8*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b^2/c^6-15/16*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b^2/c^6+5/16*cosh(5*a/b)*Chi(5*(a+b*arcsinh(c*x))/b)/b^2/c^6-5/8*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^6+15/16*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^6-5/16*sinh(5*a/b)*Shi(5*(a+b*arcsinh(c*x))/b)/b^2/c^6,1],
[x^4/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,10,-x^4/b/c/(a+b*arcsinh(c*x))+Chi(2*(a+b*arcsinh(c*x))/b)*sinh(2*a/b)/b^2/c^5-1/2*Chi(4*(a+b*arcsinh(c*x))/b)*sinh(4*a/b)/b^2/c^5-cosh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b^2/c^5+1/2*cosh(4*a/b)*Shi(4*(a+b*arcsinh(c*x))/b)/b^2/c^5,1],
[x^3/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,10,-x^3/b/c/(a+b*arcsinh(c*x))-3/4*cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b^2/c^4+3/4*cosh(3*a/b)*Chi(3*(a+b*arcsinh(c*x))/b)/b^2/c^4+3/4*sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^4-3/4*sinh(3*a/b)*Shi(3*(a+b*arcsinh(c*x))/b)/b^2/c^4,1],
[x^2/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,7,-x^2/b/c/(a+b*arcsinh(c*x))-Chi(2*(a+b*arcsinh(c*x))/b)*sinh(2*a/b)/b^2/c^3+cosh(2*a/b)*Shi(2*(a+b*arcsinh(c*x))/b)/b^2/c^3,1],
[x/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,5,-x/b/c/(a+b*arcsinh(c*x))+cosh(a/b)*Chi((a+b*arcsinh(c*x))/b)/b^2/c^2-sinh(a/b)*Shi((a+b*arcsinh(c*x))/b)/b^2/c^2,1],
[1/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,1,-1/b/c/(a+b*arcsinh(c*x)),1],
[1/x/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/x/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x),0],
[1/x^2/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/x^2/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x),0],
[x^3/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x^3/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x),0],
[x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x),0],
[x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x),0],
[1/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x),0],
[1/x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/x/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x),0],
[1/x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/x^2/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x),0],
[x^3/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x^3/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x),0],
[x^2/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x^2/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x),0],
[x/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x),0],
[1/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x),0],
[1/x/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/x/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x),0],
[1/x^2/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(1/x^2/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x),0],
[x^m*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x^m*(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x),0],
[x^m*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x^m*(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x),0],
[x^m*sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x^m*sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x),0],
[x^m/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x^m/sqrt(c^2*x^2+1)/(a+b*arcsinh(c*x))^2,x),0],
[x^m/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x^m/(c^2*x^2+1)^(3/2)/(a+b*arcsinh(c*x))^2,x),0],
[x^m/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x,0,Defer(Int)(x^m/(c^2*x^2+1)^(5/2)/(a+b*arcsinh(c*x))^2,x),0],
[x^3*(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x,13,-2*d*x^3*(c^2*x^2+1)^(3/2)/b/c/sqrt(a+b*arcsinh(c*x))-3/16*d*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4+1/16*d*exp(6*a/b)*sqrt(3/2*Pi)*erf(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4-3/16*d*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(2*a/b)+1/16*d*sqrt(3/2*Pi)*erfi(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(6*a/b),1],
[x^2*(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x,15,-2*d*x^2*(c^2*x^2+1)^(3/2)/b/c/sqrt(a+b*arcsinh(c*x))+1/8*d*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3-1/16*d*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3-1/16*d*exp(5*a/b)*sqrt(5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3-1/8*d*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(a/b)+1/16*d*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(3*a/b)+1/16*d*sqrt(5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(5*a/b),1],
[x*(c^2*d*x^2+d)/(a+b*arcsinh(c*x))^(3/2),x,9,-2*d*x*(c^2*x^2+1)^(3/2)/b/c/sqrt(a+b*arcsinh(c*x))+1/4*d*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^2+1/2*d*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^2+1/4*d*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^2/exp(4*a/b)+1/2*d*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^2/exp(2*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],
[(c^2*d*x^2+d)/x/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)((c^2*d*x^2+d)/x/(a+b*arcsinh(c*x))^(3/2),x),0],
[(c^2*d*x^2+d)/x^2/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)((c^2*d*x^2+d)/x^2/(a+b*arcsinh(c*x))^(3/2),x),0],
[(c^2*d*x^2+d)/x^3/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)((c^2*d*x^2+d)/x^3/(a+b*arcsinh(c*x))^(3/2),x),0],
[x^3*(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x,15,-2*d^2*x^3*(c^2*x^2+1)^(5/2)/b/c/sqrt(a+b*arcsinh(c*x))-1/32*d^2*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4-3/32*d^2*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4+1/32*d^2*exp(8*a/b)*sqrt(1/2*Pi)*erf(2*sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4+1/32*d^2*exp(6*a/b)*sqrt(3/2*Pi)*erf(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4-1/32*d^2*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(4*a/b)-3/32*d^2*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(2*a/b)+1/32*d^2*sqrt(1/2*Pi)*erfi(2*sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(8*a/b)+1/32*d^2*sqrt(3/2*Pi)*erfi(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^4/exp(6*a/b),1],
[x^2*(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x,19,-2*d^2*x^2*(c^2*x^2+1)^(5/2)/b/c/sqrt(a+b*arcsinh(c*x))+5/64*d^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3-1/64*d^2*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3-3/64*d^2*exp(5*a/b)*sqrt(5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3-1/64*d^2*exp(7*a/b)*sqrt(7*Pi)*erf(sqrt(7)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3-5/64*d^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(a/b)+1/64*d^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(3*a/b)+3/64*d^2*sqrt(5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(5*a/b)+1/64*d^2*sqrt(7*Pi)*erfi(sqrt(7)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^3/exp(7*a/b),1],
[x*(c^2*d*x^2+d)^2/(a+b*arcsinh(c*x))^(3/2),x,15,-2*d^2*x*(c^2*x^2+1)^(5/2)/b/c/sqrt(a+b*arcsinh(c*x))+1/4*d^2*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^2+5/16*d^2*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^2+1/16*d^2*exp(6*a/b)*sqrt(3/2*Pi)*erf(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^2+1/4*d^2*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^2/exp(4*a/b)+5/16*d^2*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^2/exp(2*a/b)+1/16*d^2*sqrt(3/2*Pi)*erfi(sqrt(6)*sqrt(a+b*arcsinh(c*x))/sqrt(b))/b^(3/2)/c^2/exp(6*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)^2/x/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)((c^2*d*x^2+d)^2/x/(a+b*arcsinh(c*x))^(3/2),x),0],
[(c^2*d*x^2+d)^2/x^2/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)((c^2*d*x^2+d)^2/x^2/(a+b*arcsinh(c*x))^(3/2),x),0],
[(c^2*d*x^2+d)^2/x^3/(a+b*arcsinh(c*x))^(3/2),x,0,Defer(Int)((c^2*d*x^2+d)^2/x^3/(a+b*arcsinh(c*x))^(3/2),x),0],
[x/sqrt(x^2+1)/sqrt(arcsinh(x)),x,4,-1/2*sqrt(Pi)*erf(sqrt(arcsinh(x)))+1/2*sqrt(Pi)*erfi(sqrt(arcsinh(x))),1],
[x^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n,x,7,-1/8*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(1+n)/b/c^3/(1+n)/sqrt(c^2*x^2+1)+sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-4*a-4*b*arcsinh(c*x))/b)/(2^(6+2*n))/c^3/exp(4*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)-exp(4*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,4*(a+b*arcsinh(c*x))/b)/(2^(6+2*n))/c^3/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n),1],
[x*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n,x,10,1/8*3^(-1-n)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-3*a-3*b*arcsinh(c*x))/b)/c^2/exp(3*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+1/8*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,-(a+b*arcsinh(c*x))/b)/c^2/exp(a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+1/8*exp(a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(a+b*arcsinh(c*x))/b)/c^2/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)+1/8*3^(-1-n)*exp(3*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,3*(a+b*arcsinh(c*x))/b)/c^2/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n,x,5,1/2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(1+n)/b/c/(1+n)/sqrt(c^2*x^2+1)+2^(-3-n)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arcsinh(c*x))/b)/c/exp(2*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)-2^(-3-n)*exp(2*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,2*(a+b*arcsinh(c*x))/b)/c/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n),1],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n/x,x,1,sqrt(c^2*d*x^2+d)*Defer(Int)(sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^n/x,x)/sqrt(c^2*x^2+1),0],
[sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n/x^2,x,1,sqrt(c^2*d*x^2+d)*Defer(Int)(sqrt(c^2*x^2+1)*(a+b*arcsinh(c*x))^n/x^2,x)/sqrt(c^2*x^2+1),0],
[x^2*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^n,x,13,-1/16*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(1+n)/b/c^3/(1+n)/sqrt(c^2*x^2+1)+2^(-7-n)*3^(-1-n)*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-6*a-6*b*arcsinh(c*x))/b)/c^3/exp(6*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+2^(-7-2*n)*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-4*a-4*b*arcsinh(c*x))/b)/c^3/exp(4*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)-2^(-7-n)*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arcsinh(c*x))/b)/c^3/exp(2*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+2^(-7-n)*d*exp(2*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,2*(a+b*arcsinh(c*x))/b)/c^3/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)-2^(-7-2*n)*d*exp(4*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,4*(a+b*arcsinh(c*x))/b)/c^3/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)-2^(-7-n)*3^(-1-n)*d*exp(6*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,6*(a+b*arcsinh(c*x))/b)/c^3/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n),1],
[x*(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^n,x,13,1/32*5^(-1-n)*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-5*a-5*b*arcsinh(c*x))/b)/c^2/exp(5*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+1/32*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-3*a-3*b*arcsinh(c*x))/b)/(3^n)/c^2/exp(3*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+1/16*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,-(a+b*arcsinh(c*x))/b)/c^2/exp(a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+1/16*d*exp(a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(a+b*arcsinh(c*x))/b)/c^2/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)+1/32*d*exp(3*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,3*(a+b*arcsinh(c*x))/b)/(3^n)/c^2/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)+1/32*5^(-1-n)*d*exp(5*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,5*(a+b*arcsinh(c*x))/b)/c^2/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n),1],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^n,x,7,3/8*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(1+n)/b/c/(1+n)/sqrt(c^2*x^2+1)+4^(-3-n)*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-4*a-4*b*arcsinh(c*x))/b)/c/exp(4*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+2^(-3-n)*d*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arcsinh(c*x))/b)/c/exp(2*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)-2^(-3-n)*d*exp(2*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,2*(a+b*arcsinh(c*x))/b)/c/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)-4^(-3-n)*d*exp(4*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,4*(a+b*arcsinh(c*x))/b)/c/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n),1],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^n/x,x,1,d*sqrt(c^2*d*x^2+d)*Defer(Int)((c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^n/x,x)/sqrt(c^2*x^2+1),0],
[(c^2*d*x^2+d)^(3/2)*(a+b*arcsinh(c*x))^n/x^2,x,1,d*sqrt(c^2*d*x^2+d)*Defer(Int)((c^2*x^2+1)^(3/2)*(a+b*arcsinh(c*x))^n/x^2,x)/sqrt(c^2*x^2+1),0],
[x^2*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^n,x,16,-5/128*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(1+n)/b/c^3/(1+n)/sqrt(c^2*x^2+1)+2^(-11-3*n)*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-8*a-8*b*arcsinh(c*x))/b)/c^3/exp(8*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+2^(-7-n)*3^(-1-n)*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-6*a-6*b*arcsinh(c*x))/b)/c^3/exp(6*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-4*a-4*b*arcsinh(c*x))/b)/(2^(8+2*n))/c^3/exp(4*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)-2^(-7-n)*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arcsinh(c*x))/b)/c^3/exp(2*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+2^(-7-n)*d^2*exp(2*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,2*(a+b*arcsinh(c*x))/b)/c^3/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)-d^2*exp(4*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,4*(a+b*arcsinh(c*x))/b)/(2^(8+2*n))/c^3/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)-2^(-7-n)*3^(-1-n)*d^2*exp(6*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,6*(a+b*arcsinh(c*x))/b)/c^3/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)-2^(-11-3*n)*d^2*exp(8*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,8*(a+b*arcsinh(c*x))/b)/c^3/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n),1],
[x*(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^n,x,16,1/128*7^(-1-n)*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-7*a-7*b*arcsinh(c*x))/b)/c^2/exp(7*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+1/128*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-5*a-5*b*arcsinh(c*x))/b)/(5^n)/c^2/exp(5*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+1/128*3^(1-n)*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-3*a-3*b*arcsinh(c*x))/b)/c^2/exp(3*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+5/128*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,-(a+b*arcsinh(c*x))/b)/c^2/exp(a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+5/128*d^2*exp(a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(a+b*arcsinh(c*x))/b)/c^2/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)+1/128*3^(1-n)*d^2*exp(3*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,3*(a+b*arcsinh(c*x))/b)/c^2/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)+1/128*d^2*exp(5*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,5*(a+b*arcsinh(c*x))/b)/(5^n)/c^2/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)+1/128*7^(-1-n)*d^2*exp(7*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,7*(a+b*arcsinh(c*x))/b)/c^2/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n),1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^n,x,9,5/16*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^(1+n)/b/c/(1+n)/sqrt(c^2*x^2+1)+2^(-7-n)*3^(-1-n)*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-6*a-6*b*arcsinh(c*x))/b)/c/exp(6*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+3*2^(-7-2*n)*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-4*a-4*b*arcsinh(c*x))/b)/c/exp(4*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)+15*2^(-7-n)*d^2*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,(-2*a-2*b*arcsinh(c*x))/b)/c/exp(2*a/b)/sqrt(c^2*x^2+1)/((-(a+b*arcsinh(c*x))/b)^n)-15*2^(-7-n)*d^2*exp(2*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,2*(a+b*arcsinh(c*x))/b)/c/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)-3*2^(-7-2*n)*d^2*exp(4*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,4*(a+b*arcsinh(c*x))/b)/c/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n)-2^(-7-n)*3^(-1-n)*d^2*exp(6*a/b)*sqrt(c^2*d*x^2+d)*(a+b*arcsinh(c*x))^n*GAMMA(1+n,6*(a+b*arcsinh(c*x))/b)/c/sqrt(c^2*x^2+1)/(((a+b*arcsinh(c*x))/b)^n),1],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^n/x,x,1,d^2*sqrt(c^2*d*x^2+d)*Defer(Int)((c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))^n/x,x)/sqrt(c^2*x^2+1),0],
[(c^2*d*x^2+d)^(5/2)*(a+b*arcsinh(c*x))^n/x^2,x,1,d^2*sqrt(c^2*d*x^2+d)*Defer(Int)((c^2*x^2+1)^(5/2)*(a+b*arcsinh(c*x))^n/x^2,x)/sqrt(c^2*x^2+1),0],
[x^m*arcsinh(a*x)^n/sqrt(a^2*x^2+1),x,0,Defer(Int)(x^m*arcsinh(a*x)^n/sqrt(a^2*x^2+1),x),0],
[x^3*arcsinh(a*x)^n/sqrt(a^2*x^2+1),x,6,1/8*3^(-1-n)*arcsinh(a*x)^n*GAMMA(1+n,-3*arcsinh(a*x))/a^4/((-arcsinh(a*x))^n)-3/8*arcsinh(a*x)^n*GAMMA(1+n,-arcsinh(a*x))/a^4/((-arcsinh(a*x))^n)-3/8*GAMMA(1+n,arcsinh(a*x))/a^4+1/8*3^(-1-n)*GAMMA(1+n,3*arcsinh(a*x))/a^4,1],
[x^2*arcsinh(a*x)^n/sqrt(a^2*x^2+1),x,4,-1/2*arcsinh(a*x)^(1+n)/a^3/(1+n)+2^(-3-n)*arcsinh(a*x)^n*GAMMA(1+n,-2*arcsinh(a*x))/a^3/((-arcsinh(a*x))^n)-2^(-3-n)*GAMMA(1+n,2*arcsinh(a*x))/a^3,1],
[x*arcsinh(a*x)^n/sqrt(a^2*x^2+1),x,4,1/2*arcsinh(a*x)^n*GAMMA(1+n,-arcsinh(a*x))/a^2/((-arcsinh(a*x))^n)+1/2*GAMMA(1+n,arcsinh(a*x))/a^2,1],
[arcsinh(a*x)^n/sqrt(a^2*x^2+1),x,1,arcsinh(a*x)^(1+n)/a/(1+n),1],
[arcsinh(a*x)^n/x/sqrt(a^2*x^2+1),x,0,Defer(Int)(arcsinh(a*x)^n/x/sqrt(a^2*x^2+1),x),0],
[arcsinh(a*x)^n/x^2/sqrt(a^2*x^2+1),x,0,Defer(Int)(arcsinh(a*x)^n/x^2/sqrt(a^2*x^2+1),x),0],
[x*arcsinh(2*x)/(4*x^2+1),x,3,-1/8*arcsinh(2*x)^2+1/4*arcsinh(2*x)*ln(1+exp(2*arcsinh(2*x)))+1/8*polylog(2,-exp(2*arcsinh(2*x))),1],
[x*arcsinh(2*x)/(-4*x^2+1),x,18,1/8*arcsinh(2*x)^2-1/8*arcsinh(2*x)*ln(1-(1-sqrt(2))*exp(arcsinh(2*x)))-1/8*arcsinh(2*x)*ln(1+(1-sqrt(2))*exp(arcsinh(2*x)))-1/8*arcsinh(2*x)*ln(1-(1+sqrt(2))*exp(arcsinh(2*x)))-1/8*arcsinh(2*x)*ln(1+(1+sqrt(2))*exp(arcsinh(2*x)))-1/8*polylog(2,-(1-sqrt(2))*exp(arcsinh(2*x)))-1/8*polylog(2,(1-sqrt(2))*exp(arcsinh(2*x)))-1/8*polylog(2,-(1+sqrt(2))*exp(arcsinh(2*x)))-1/8*polylog(2,(1+sqrt(2))*exp(arcsinh(2*x))),1]]: