lst:=[[x^3*arcsinh(b*x+a),x,9,-a*(-a^2+1)*sqrt(1+(b*x+a)^2)/b^4+3/32*(-8*a^2+1)*(b*x+a)*sqrt(1+(b*x+a)^2)/b^4-1/16*(b*x+a)^3*sqrt(1+(b*x+a)^2)/b^4+1/3*a*(1+(b*x+a)^2)^(3/2)/b^4-1/32*(8*a^4-24*a^2+3)*arcsinh(b*x+a)/b^4+1/4*x^4*arcsinh(b*x+a),1],
[x^2*arcsinh(b*x+a),x,8,1/3*(-3*a^2+1)*sqrt(1+(b*x+a)^2)/b^3+1/2*a*(b*x+a)*sqrt(1+(b*x+a)^2)/b^3-1/9*(1+(b*x+a)^2)^(3/2)/b^3-1/6*a*(-2*a^2+3)*arcsinh(b*x+a)/b^3+1/3*x^3*arcsinh(b*x+a),1],
[x*arcsinh(b*x+a),x,6,a*sqrt(1+(b*x+a)^2)/b^2-1/4*(b*x+a)*sqrt(1+(b*x+a)^2)/b^2+1/4*(-2*a^2+1)*arcsinh(b*x+a)/b^2+1/2*x^2*arcsinh(b*x+a),1],
[arcsinh(b*x+a),x,3,-sqrt(1+(b*x+a)^2)/b+(b*x+a)*arcsinh(b*x+a)/b,1],
[arcsinh(b*x+a)/x,x,9,-1/2*arcsinh(b*x+a)^2+arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))+arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))+polylog(2,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))+polylog(2,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1))),1],
[arcsinh(b*x+a)/x^2,x,4,-arcsinh(b*x+a)/x-b*arctanh((1+a*(b*x+a))/sqrt(a^2+1)/sqrt(1+(b*x+a)^2))/sqrt(a^2+1),1],
[arcsinh(b*x+a)/x^3,x,5,-1/2*b*sqrt(1+(b*x+a)^2)/(a^2+1)/x-1/2*arcsinh(b*x+a)/x^2+1/2*a*b^2*arctanh((1+a*(b*x+a))/sqrt(a^2+1)/sqrt(1+(b*x+a)^2))/(a^2+1)^(3/2),1],
[arcsinh(b*x+a)/x^4,x,6,-1/6*b*sqrt(1+(b*x+a)^2)/(a^2+1)/x^2+1/2*a*b^2*sqrt(1+(b*x+a)^2)/(a^2+1)^2/x-1/3*arcsinh(b*x+a)/x^3+1/6*(-2*a^2+1)*b^3*arctanh((1+a*(b*x+a))/sqrt(a^2+1)/sqrt(1+(b*x+a)^2))/(a^2+1)^(5/2),1],
[arcsinh(b*x+a)/x^5,x,7,-1/12*b*sqrt(1+(b*x+a)^2)/(a^2+1)/x^3+5/24*a*b^2*sqrt(1+(b*x+a)^2)/(a^2+1)^2/x^2+1/24*(-11*a^2+4)*b^3*sqrt(1+(b*x+a)^2)/(a^2+1)^3/x-1/4*arcsinh(b*x+a)/x^4-1/8*a*(-2*a^2+3)*b^4*arctanh((1+a*(b*x+a))/sqrt(a^2+1)/sqrt(1+(b*x+a)^2))/(a^2+1)^(7/2),1],
[x^3*arcsinh(b*x+a)^2,x,19,4/3*a*x/b^3-2*a^3*x/b^3-3/32*(b*x+a)^2/b^4+3/4*a^2*(b*x+a)^2/b^4-2/9*a*(b*x+a)^3/b^4+1/32*(b*x+a)^4/b^4-4/3*a*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^4+2*a^3*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^4+3/16*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^4-3/2*a^2*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^4+2/3*a*(b*x+a)^2*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^4-1/8*(b*x+a)^3*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^4-3/32*arcsinh(b*x+a)^2/b^4+3/4*a^2*arcsinh(b*x+a)^2/b^4-1/4*a^4*arcsinh(b*x+a)^2/b^4+1/4*x^4*arcsinh(b*x+a)^2,1],
[x^2*arcsinh(b*x+a)^2,x,14,-4/9*x/b^2+2*a^2*x/b^2-1/2*a*(b*x+a)^2/b^3+2/27*(b*x+a)^3/b^3+4/9*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^3-2*a^2*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^3+a*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^3-2/9*(b*x+a)^2*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^3-1/2*a*arcsinh(b*x+a)^2/b^3+1/3*a^3*arcsinh(b*x+a)^2/b^3+1/3*x^3*arcsinh(b*x+a)^2,1],
[x*arcsinh(b*x+a)^2,x,10,-2*a*x/b+1/4*(b*x+a)^2/b^2+2*a*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^2-1/2*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b^2+1/4*arcsinh(b*x+a)^2/b^2-1/2*a^2*arcsinh(b*x+a)^2/b^2+1/2*x^2*arcsinh(b*x+a)^2,1],
[arcsinh(b*x+a)^2,x,4,2*x-2*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b+(b*x+a)*arcsinh(b*x+a)^2/b,1],
[arcsinh(b*x+a)^2/x,x,11,-1/3*arcsinh(b*x+a)^3+arcsinh(b*x+a)^2*ln(1-exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))+arcsinh(b*x+a)^2*ln(1-exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))+2*arcsinh(b*x+a)*polylog(2,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))+2*arcsinh(b*x+a)*polylog(2,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))-2*polylog(3,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))-2*polylog(3,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1))),1],
[arcsinh(b*x+a)^2/x^2,x,11,-arcsinh(b*x+a)^2/x-2*b*arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/sqrt(a^2+1)+2*b*arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/sqrt(a^2+1)-2*b*polylog(2,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/sqrt(a^2+1)+2*b*polylog(2,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/sqrt(a^2+1),1],
[arcsinh(b*x+a)^2/x^3,x,14,-b*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/(a^2+1)/x-1/2*arcsinh(b*x+a)^2/x^2+a*b^2*arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)^(3/2)-a*b^2*arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)^(3/2)+b^2*ln(x)/(a^2+1)+a*b^2*polylog(2,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)^(3/2)-a*b^2*polylog(2,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)^(3/2),1],
[arcsinh(b*x+a)^2/x^4,x,40,-1/3*b^2/(a^2+1)/x-1/3*b*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/(a^2+1)/x^2+a*b^2*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/(a^2+1)^2/x-1/3*arcsinh(b*x+a)^2/x^3-a^2*b^3*arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)^(5/2)+1/3*b^3*arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)^(3/2)+a^2*b^3*arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)^(5/2)-1/3*b^3*arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)^(3/2)-a*b^3*ln(x)/(a^2+1)^2-a^2*b^3*polylog(2,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)^(5/2)+1/3*b^3*polylog(2,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)^(3/2)+a^2*b^3*polylog(2,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)^(5/2)-1/3*b^3*polylog(2,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)^(3/2),1],
[x^2*arcsinh(b*x+a)^3,x,18,14/9*sqrt(1+(b*x+a)^2)/b^3-6*a^2*sqrt(1+(b*x+a)^2)/b^3+3/4*a*(b*x+a)*sqrt(1+(b*x+a)^2)/b^3-2/27*(1+(b*x+a)^2)^(3/2)/b^3-3/4*a*arcsinh(b*x+a)/b^3-4/3*(b*x+a)*arcsinh(b*x+a)/b^3+6*a^2*(b*x+a)*arcsinh(b*x+a)/b^3-3/2*a*(b*x+a)^2*arcsinh(b*x+a)/b^3+2/9*(b*x+a)^3*arcsinh(b*x+a)/b^3+2/3*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^2/b^3-3*a^2*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^2/b^3+3/2*a*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^2/b^3-1/3*(b*x+a)^2*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^2/b^3-1/2*a*arcsinh(b*x+a)^3/b^3+1/3*a^3*arcsinh(b*x+a)^3/b^3+1/3*x^3*arcsinh(b*x+a)^3,1],
[x*arcsinh(b*x+a)^3,x,12,6*a*sqrt(1+(b*x+a)^2)/b^2-3/8*(b*x+a)*sqrt(1+(b*x+a)^2)/b^2+3/8*arcsinh(b*x+a)/b^2-6*a*(b*x+a)*arcsinh(b*x+a)/b^2+3/4*(b*x+a)^2*arcsinh(b*x+a)/b^2+3*a*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^2/b^2-3/4*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^2/b^2+1/4*arcsinh(b*x+a)^3/b^2-1/2*a^2*arcsinh(b*x+a)^3/b^2+1/2*x^2*arcsinh(b*x+a)^3,1],
[arcsinh(b*x+a)^3,x,3,-6*sqrt(1+(b*x+a)^2)/b+6*(b*x+a)*arcsinh(b*x+a)/b-3*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^2/b+(b*x+a)*arcsinh(b*x+a)^3/b,1],
[arcsinh(b*x+a)^3/x,x,13,-1/4*arcsinh(b*x+a)^4+arcsinh(b*x+a)^3*ln(1-exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))+arcsinh(b*x+a)^3*ln(1-exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))+3*arcsinh(b*x+a)^2*polylog(2,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))+3*arcsinh(b*x+a)^2*polylog(2,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))-6*arcsinh(b*x+a)*polylog(3,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))-6*arcsinh(b*x+a)*polylog(3,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))+6*polylog(4,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))+6*polylog(4,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1))),1],
[arcsinh(b*x+a)^3/x^2,x,13,-arcsinh(b*x+a)^3/x-3*b*arcsinh(b*x+a)^2*ln(1-exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/sqrt(a^2+1)+3*b*arcsinh(b*x+a)^2*ln(1-exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/sqrt(a^2+1)-6*b*arcsinh(b*x+a)*polylog(2,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/sqrt(a^2+1)+6*b*arcsinh(b*x+a)*polylog(2,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/sqrt(a^2+1)+6*b*polylog(3,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/sqrt(a^2+1)-6*b*polylog(3,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/sqrt(a^2+1),1],
[arcsinh(b*x+a)^3/x^3,x,21,-3*b^2*arcsinh(b*x+a)^2/(2*a^2+2)-3/2*b*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^2/(a^2+1)/x-1/2*arcsinh(b*x+a)^3/x^2+3*b^2*arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)+3/2*a*b^2*arcsinh(b*x+a)^2*ln(1-exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)^(3/2)+3*b^2*arcsinh(b*x+a)*ln(1-exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)-3/2*a*b^2*arcsinh(b*x+a)^2*ln(1-exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)^(3/2)+3*b^2*polylog(2,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)+3*a*b^2*arcsinh(b*x+a)*polylog(2,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)^(3/2)+3*b^2*polylog(2,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)-3*a*b^2*arcsinh(b*x+a)*polylog(2,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)^(3/2)-3*a*b^2*polylog(3,exp(arcsinh(b*x+a))/(a-sqrt(a^2+1)))/(a^2+1)^(3/2)+3*a*b^2*polylog(3,exp(arcsinh(b*x+a))/(a+sqrt(a^2+1)))/(a^2+1)^(3/2),1],
[x^2/arcsinh(b*x+a),x,14,-1/4*Chi(arcsinh(b*x+a))/b^3+a^2*Chi(arcsinh(b*x+a))/b^3+1/4*Chi(3*arcsinh(b*x+a))/b^3-a*Shi(2*arcsinh(b*x+a))/b^3,1],
[x/arcsinh(b*x+a),x,10,-a*Chi(arcsinh(b*x+a))/b^2+1/2*Shi(2*arcsinh(b*x+a))/b^2,1],
[1/arcsinh(b*x+a),x,3,Chi(arcsinh(b*x+a))/b,1],
[1/x/arcsinh(b*x+a),x,1,Defer(Int)(1/x/arcsinh(b*x+a),x),0],
[x^2/arcsinh(b*x+a)^2,x,12,-a^2*sqrt(1+(b*x+a)^2)/b^3/arcsinh(b*x+a)+2*a*(b*x+a)*sqrt(1+(b*x+a)^2)/b^3/arcsinh(b*x+a)-(b*x+a)^2*sqrt(1+(b*x+a)^2)/b^3/arcsinh(b*x+a)-2*a*Chi(2*arcsinh(b*x+a))/b^3-1/4*Shi(arcsinh(b*x+a))/b^3+a^2*Shi(arcsinh(b*x+a))/b^3+3/4*Shi(3*arcsinh(b*x+a))/b^3,1],
[x/arcsinh(b*x+a)^2,x,8,a*sqrt(1+(b*x+a)^2)/b^2/arcsinh(b*x+a)-(b*x+a)*sqrt(1+(b*x+a)^2)/b^2/arcsinh(b*x+a)+Chi(2*arcsinh(b*x+a))/b^2-a*Shi(arcsinh(b*x+a))/b^2,1],
[1/arcsinh(b*x+a)^2,x,4,-sqrt(1+(b*x+a)^2)/b/arcsinh(b*x+a)+Shi(arcsinh(b*x+a))/b,1],
[1/x/arcsinh(b*x+a)^2,x,1,Defer(Int)(1/x/arcsinh(b*x+a)^2,x),0],
[x^2/arcsinh(b*x+a)^3,x,24,-1/2*a^2*sqrt(1+(b*x+a)^2)/b^3/arcsinh(b*x+a)^2+a*(b*x+a)*sqrt(1+(b*x+a)^2)/b^3/arcsinh(b*x+a)^2-1/2*(b*x+a)^2*sqrt(1+(b*x+a)^2)/b^3/arcsinh(b*x+a)^2+a/b^3/arcsinh(b*x+a)-(b*x+a)/b^3/arcsinh(b*x+a)-1/2*a^2*(b*x+a)/b^3/arcsinh(b*x+a)+2*a*(b*x+a)^2/b^3/arcsinh(b*x+a)-3/2*(b*x+a)^3/b^3/arcsinh(b*x+a)-1/8*Chi(arcsinh(b*x+a))/b^3+1/2*a^2*Chi(arcsinh(b*x+a))/b^3+9/8*Chi(3*arcsinh(b*x+a))/b^3-2*a*Shi(2*arcsinh(b*x+a))/b^3,1],
[x/arcsinh(b*x+a)^3,x,14,1/2*a*sqrt(1+(b*x+a)^2)/b^2/arcsinh(b*x+a)^2-1/2*(b*x+a)*sqrt(1+(b*x+a)^2)/b^2/arcsinh(b*x+a)^2-1/2/b^2/arcsinh(b*x+a)+1/2*a*(b*x+a)/b^2/arcsinh(b*x+a)-(b*x+a)^2/b^2/arcsinh(b*x+a)-1/2*a*Chi(arcsinh(b*x+a))/b^2+Shi(2*arcsinh(b*x+a))/b^2,1],
[1/arcsinh(b*x+a)^3,x,5,-1/2*sqrt(1+(b*x+a)^2)/b/arcsinh(b*x+a)^2-1/2*(b*x+a)/b/arcsinh(b*x+a)+1/2*Chi(arcsinh(b*x+a))/b,1],
[1/x/arcsinh(b*x+a)^3,x,1,Defer(Int)(1/x/arcsinh(b*x+a)^3,x),0],
[x^m*(a+b*arcsinh(d*x+c))^n,x,1,Defer(Int)(x^m*(a+b*arcsinh(d*x+c))^n,x),0],
[x^2*(a+b*arcsinh(d*x+c))^n,x,22,1/8*3^(-1-n)*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,(-3*a-3*b*arcsinh(d*x+c))/b)/d^3/exp(3*a/b)/((-(a+b*arcsinh(d*x+c))/b)^n)-2^(-2-n)*c*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,(-2*a-2*b*arcsinh(d*x+c))/b)/d^3/exp(2*a/b)/((-(a+b*arcsinh(d*x+c))/b)^n)-1/8*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,-(a+b*arcsinh(d*x+c))/b)/d^3/exp(a/b)/((-(a+b*arcsinh(d*x+c))/b)^n)+1/2*c^2*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,-(a+b*arcsinh(d*x+c))/b)/d^3/exp(a/b)/((-(a+b*arcsinh(d*x+c))/b)^n)+1/8*exp(a/b)*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,(a+b*arcsinh(d*x+c))/b)/d^3/(((a+b*arcsinh(d*x+c))/b)^n)-1/2*c^2*exp(a/b)*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,(a+b*arcsinh(d*x+c))/b)/d^3/(((a+b*arcsinh(d*x+c))/b)^n)-2^(-2-n)*c*exp(2*a/b)*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,2*(a+b*arcsinh(d*x+c))/b)/d^3/(((a+b*arcsinh(d*x+c))/b)^n)-1/8*3^(-1-n)*exp(3*a/b)*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,3*(a+b*arcsinh(d*x+c))/b)/d^3/(((a+b*arcsinh(d*x+c))/b)^n),1],
[x*(a+b*arcsinh(d*x+c))^n,x,14,2^(-3-n)*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,(-2*a-2*b*arcsinh(d*x+c))/b)/d^2/exp(2*a/b)/((-(a+b*arcsinh(d*x+c))/b)^n)-1/2*c*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,-(a+b*arcsinh(d*x+c))/b)/d^2/exp(a/b)/((-(a+b*arcsinh(d*x+c))/b)^n)+1/2*c*exp(a/b)*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,(a+b*arcsinh(d*x+c))/b)/d^2/(((a+b*arcsinh(d*x+c))/b)^n)+2^(-3-n)*exp(2*a/b)*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,2*(a+b*arcsinh(d*x+c))/b)/d^2/(((a+b*arcsinh(d*x+c))/b)^n),1],
[(a+b*arcsinh(d*x+c))^n,x,4,1/2*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,-(a+b*arcsinh(d*x+c))/b)/d/exp(a/b)/((-(a+b*arcsinh(d*x+c))/b)^n)-1/2*exp(a/b)*(a+b*arcsinh(d*x+c))^n*GAMMA(1+n,(a+b*arcsinh(d*x+c))/b)/d/(((a+b*arcsinh(d*x+c))/b)^n),1],
[(a+b*arcsinh(d*x+c))^n/x,x,1,Defer(Int)((a+b*arcsinh(d*x+c))^n/x,x),0],
[x^2*sqrt(a+b*arcsinh(d*x+c)),x,23,c^2*(d*x+c)*sqrt(a+b*arcsinh(d*x+c))/d^3+1/3*(d*x+c)^3*sqrt(a+b*arcsinh(d*x+c))/d^3-1/2*c*sqrt(a+b*arcsinh(d*x+c))*cosh(2*arcsinh(d*x+c))/d^3-1/16*sqrt(b)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^3+1/4*sqrt(b)*c^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^3+1/8*sqrt(b)*c*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^3+1/48*sqrt(b)*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^3+1/16*sqrt(b)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^3/exp(a/b)-1/4*sqrt(b)*c^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^3/exp(a/b)+1/8*sqrt(b)*c*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^3/exp(2*a/b)-1/48*sqrt(b)*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^3/exp(3*a/b),1],
[x*sqrt(a+b*arcsinh(d*x+c)),x,14,-c*(d*x+c)*sqrt(a+b*arcsinh(d*x+c))/d^2+1/4*sqrt(a+b*arcsinh(d*x+c))*cosh(2*arcsinh(d*x+c))/d^2-1/4*sqrt(b)*c*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2-1/16*sqrt(b)*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2+1/4*sqrt(b)*c*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2/exp(a/b)-1/16*sqrt(b)*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2/exp(2*a/b),1],
[sqrt(a+b*arcsinh(d*x+c)),x,6,(d*x+c)*sqrt(a+b*arcsinh(d*x+c))/d+1/4*sqrt(b)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-1/4*sqrt(b)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b),1],
[x*(a+b*arcsinh(d*x+c))^(3/2),x,16,3/2*b*c*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d^2-c*(d*x+c)*(a+b*arcsinh(d*x+c))^(3/2)/d^2+1/4*(a+b*arcsinh(d*x+c))^(3/2)*cosh(2*arcsinh(d*x+c))/d^2-3/8*b^(3/2)*c*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2-3/64*b^(3/2)*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2-3/8*b^(3/2)*c*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2/exp(a/b)+3/64*b^(3/2)*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2/exp(2*a/b)-3/16*b*sqrt(a+b*arcsinh(d*x+c))*sinh(2*arcsinh(d*x+c))/d^2,1],
[(a+b*arcsinh(d*x+c))^(3/2),x,6,-3/2*b*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d+(d*x+c)*(a+b*arcsinh(d*x+c))^(3/2)/d+3/8*b^(3/2)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+3/8*b^(3/2)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b),1],
[x*(a+b*arcsinh(d*x+c))^(5/2),x,18,-15/4*b^2*c*(d*x+c)*sqrt(a+b*arcsinh(d*x+c))/d^2+5/2*b*c*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d^2-c*(d*x+c)*(a+b*arcsinh(d*x+c))^(5/2)/d^2+15/64*b^2*sqrt(a+b*arcsinh(d*x+c))*cosh(2*arcsinh(d*x+c))/d^2+1/4*(a+b*arcsinh(d*x+c))^(5/2)*cosh(2*arcsinh(d*x+c))/d^2-15/16*b^(5/2)*c*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2-15/256*b^(5/2)*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2+15/16*b^(5/2)*c*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2/exp(a/b)-15/256*b^(5/2)*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d^2/exp(2*a/b)-5/16*b*(a+b*arcsinh(d*x+c))^(3/2)*sinh(2*arcsinh(d*x+c))/d^2,1],
[(a+b*arcsinh(d*x+c))^(5/2),x,8,15/4*b^2*(d*x+c)*sqrt(a+b*arcsinh(d*x+c))/d-5/2*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d+(d*x+c)*(a+b*arcsinh(d*x+c))^(5/2)/d+15/16*b^(5/2)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-15/16*b^(5/2)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b),1],
[x^2/sqrt(a+b*arcsinh(d*x+c)),x,20,-1/8*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^3+1/2*c^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^3+1/2*c*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^3+1/8*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^3-1/8*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^3/exp(a/b)+1/2*c^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^3/exp(a/b)-1/2*c*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^3/exp(2*a/b)+1/8*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^3/exp(3*a/b),1],
[x/sqrt(a+b*arcsinh(d*x+c)),x,12,-1/2*c*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^2-1/4*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^2-1/2*c*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^2/exp(a/b)+1/4*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d^2/exp(2*a/b),1],
[1/sqrt(a+b*arcsinh(d*x+c)),x,4,1/2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d+1/2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d/exp(a/b),1],
[x/(a+b*arcsinh(d*x+c))^(3/2),x,14,2*c*sqrt(1+(d*x+c)^2)/b/d^2/sqrt(a+b*arcsinh(d*x+c))-2*(d*x+c)*sqrt(1+(d*x+c)^2)/b/d^2/sqrt(a+b*arcsinh(d*x+c))+c*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d^2+exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d^2-c*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d^2/exp(a/b)+sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d^2/exp(2*a/b),1],
[1/(a+b*arcsinh(d*x+c))^(3/2),x,6,-2*sqrt(1+(d*x+c)^2)/b/d/sqrt(a+b*arcsinh(d*x+c))-exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d+sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d/exp(a/b),1],
[x/(a+b*arcsinh(d*x+c))^(5/2),x,15,2/3*c*sqrt(1+(d*x+c)^2)/b/d^2/(a+b*arcsinh(d*x+c))^(3/2)-2/3*(d*x+c)*sqrt(1+(d*x+c)^2)/b/d^2/(a+b*arcsinh(d*x+c))^(3/2)-4/3/b^2/d^2/sqrt(a+b*arcsinh(d*x+c))+4/3*c*(d*x+c)/b^2/d^2/sqrt(a+b*arcsinh(d*x+c))-8/3*(d*x+c)^2/b^2/d^2/sqrt(a+b*arcsinh(d*x+c))-2/3*c*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d^2-2/3*exp(2*a/b)*sqrt(2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d^2-2/3*c*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d^2/exp(a/b)+2/3*sqrt(2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d^2/exp(2*a/b),1],
[1/(a+b*arcsinh(d*x+c))^(5/2),x,6,-2/3*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(3/2)-4/3*(d*x+c)/b^2/d/sqrt(a+b*arcsinh(d*x+c))+2/3*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d+2/3*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d/exp(a/b),1],
[x/(a+b*arcsinh(d*x+c))^(7/2),x,19,2/5*c*sqrt(1+(d*x+c)^2)/b/d^2/(a+b*arcsinh(d*x+c))^(5/2)-2/5*(d*x+c)*sqrt(1+(d*x+c)^2)/b/d^2/(a+b*arcsinh(d*x+c))^(5/2)-4/15/b^2/d^2/(a+b*arcsinh(d*x+c))^(3/2)+4/15*c*(d*x+c)/b^2/d^2/(a+b*arcsinh(d*x+c))^(3/2)-8/15*(d*x+c)^2/b^2/d^2/(a+b*arcsinh(d*x+c))^(3/2)+8/15*c*sqrt(1+(d*x+c)^2)/b^3/d^2/sqrt(a+b*arcsinh(d*x+c))-32/15*(d*x+c)*sqrt(1+(d*x+c)^2)/b^3/d^2/sqrt(a+b*arcsinh(d*x+c))+4/15*c*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d^2+8/15*exp(2*a/b)*sqrt(2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d^2-4/15*c*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d^2/exp(a/b)+8/15*sqrt(2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d^2/exp(2*a/b),1],
[1/(a+b*arcsinh(d*x+c))^(7/2),x,8,-2/5*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(5/2)-4/15*(d*x+c)/b^2/d/(a+b*arcsinh(d*x+c))^(3/2)-8/15*sqrt(1+(d*x+c)^2)/b^3/d/sqrt(a+b*arcsinh(d*x+c))-4/15*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d+4/15*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d/exp(a/b),1],
[(d*e*x+c*e)^4*(a+b*arcsinh(d*x+c)),x,6,-1/5*b*e^4*sqrt(1+(d*x+c)^2)/d+2/15*b*e^4*(1+(d*x+c)^2)^(3/2)/d-1/25*b*e^4*(1+(d*x+c)^2)^(5/2)/d+1/5*e^4*(d*x+c)^5*(a+b*arcsinh(d*x+c))/d,1],
[(d*e*x+c*e)^3*(a+b*arcsinh(d*x+c)),x,6,3/32*b*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)/d-1/16*b*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)/d-3/32*b*e^3*arcsinh(d*x+c)/d+1/4*e^3*(d*x+c)^4*(a+b*arcsinh(d*x+c))/d,1],
[(d*e*x+c*e)^2*(a+b*arcsinh(d*x+c)),x,6,1/3*b*e^2*sqrt(1+(d*x+c)^2)/d-1/9*b*e^2*(1+(d*x+c)^2)^(3/2)/d+1/3*e^2*(d*x+c)^3*(a+b*arcsinh(d*x+c))/d,1],
[(d*e*x+c*e)*(a+b*arcsinh(d*x+c)),x,5,-1/4*b*e*(d*x+c)*sqrt(1+(d*x+c)^2)/d+1/4*b*e*arcsinh(d*x+c)/d+1/2*e*(d*x+c)^2*(a+b*arcsinh(d*x+c))/d,1],
[a+b*arcsinh(d*x+c),x,4,a*x-b*sqrt(1+(d*x+c)^2)/d+b*(d*x+c)*arcsinh(d*x+c)/d,1],
[(a+b*arcsinh(d*x+c))/(d*e*x+c*e),x,5,-1/2*(a+b*arcsinh(d*x+c))^2/b/d/e+(a+b*arcsinh(d*x+c))*ln(1-exp(2*arcsinh(d*x+c)))/d/e+1/2*b*polylog(2,exp(2*arcsinh(d*x+c)))/d/e,1],
[(a+b*arcsinh(d*x+c))/(d*e*x+c*e)^2,x,6,-(a+b*arcsinh(d*x+c))/d/e^2/(d*x+c)-b*arctanh(sqrt(1+(d*x+c)^2))/d/e^2,1],
[(a+b*arcsinh(d*x+c))/(d*e*x+c*e)^3,x,4,-1/2*b*sqrt(1+(d*x+c)^2)/d/e^3/(d*x+c)-1/2*(a+b*arcsinh(d*x+c))/d/e^3/(d*x+c)^2,1],
[(a+b*arcsinh(d*x+c))/(d*e*x+c*e)^4,x,7,-1/6*b*sqrt(1+(d*x+c)^2)/d/e^4/(d*x+c)^2-1/3*(a+b*arcsinh(d*x+c))/d/e^4/(d*x+c)^3+1/6*b*arctanh(sqrt(1+(d*x+c)^2))/d/e^4,1],
[(a+b*arcsinh(d*x+c))/(d*e*x+c*e)^5,x,5,-1/12*b*sqrt(1+(d*x+c)^2)/d/e^5/(d*x+c)^3+1/6*b*sqrt(1+(d*x+c)^2)/d/e^5/(d*x+c)-1/4*(a+b*arcsinh(d*x+c))/d/e^5/(d*x+c)^4,1],
[(a+b*arcsinh(d*x+c))/(d*e*x+c*e)^6,x,8,-1/20*b*sqrt(1+(d*x+c)^2)/d/e^6/(d*x+c)^4+3/40*b*sqrt(1+(d*x+c)^2)/d/e^6/(d*x+c)^2-1/5*(a+b*arcsinh(d*x+c))/d/e^6/(d*x+c)^5-3/40*b*arctanh(sqrt(1+(d*x+c)^2))/d/e^6,1],
[(d*e*x+c*e)^4*(a+b*arcsinh(d*x+c))^2,x,9,16/75*b^2*e^4*x-8/225*b^2*e^4*(d*x+c)^3/d+2/125*b^2*e^4*(d*x+c)^5/d-16/75*b*e^4*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d+8/75*b*e^4*(d*x+c)^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d-2/25*b*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d+1/5*e^4*(d*x+c)^5*(a+b*arcsinh(d*x+c))^2/d,1],
[(d*e*x+c*e)^3*(a+b*arcsinh(d*x+c))^2,x,8,-3/32*b^2*e^3*(d*x+c)^2/d+1/32*b^2*e^3*(d*x+c)^4/d+3/16*b*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d-1/8*b*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d-3/32*e^3*(a+b*arcsinh(d*x+c))^2/d+1/4*e^3*(d*x+c)^4*(a+b*arcsinh(d*x+c))^2/d,1],
[(d*e*x+c*e)^2*(a+b*arcsinh(d*x+c))^2,x,7,-4/9*b^2*e^2*x+2/27*b^2*e^2*(d*x+c)^3/d+4/9*b*e^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d-2/9*b*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d+1/3*e^2*(d*x+c)^3*(a+b*arcsinh(d*x+c))^2/d,1],
[(d*e*x+c*e)*(a+b*arcsinh(d*x+c))^2,x,6,1/4*b^2*e*(d*x+c)^2/d-1/2*b*e*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d+1/4*e*(a+b*arcsinh(d*x+c))^2/d+1/2*e*(d*x+c)^2*(a+b*arcsinh(d*x+c))^2/d,1],
[(a+b*arcsinh(d*x+c))^2,x,4,2*b^2*x-2*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d+(d*x+c)*(a+b*arcsinh(d*x+c))^2/d,1],
[(a+b*arcsinh(d*x+c))^2/(d*e*x+c*e),x,6,-1/3*(a+b*arcsinh(d*x+c))^3/b/d/e+(a+b*arcsinh(d*x+c))^2*ln(1-exp(2*arcsinh(d*x+c)))/d/e+b*(a+b*arcsinh(d*x+c))*polylog(2,exp(2*arcsinh(d*x+c)))/d/e-1/2*b^2*polylog(3,exp(2*arcsinh(d*x+c)))/d/e,1],
[(a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^2,x,7,-(a+b*arcsinh(d*x+c))^2/d/e^2/(d*x+c)-4*b*(a+b*arcsinh(d*x+c))*arctanh(exp(arcsinh(d*x+c)))/d/e^2-2*b^2*polylog(2,-exp(arcsinh(d*x+c)))/d/e^2+2*b^2*polylog(2,exp(arcsinh(d*x+c)))/d/e^2,1],
[(a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^3,x,5,-b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d/e^3/(d*x+c)-1/2*(a+b*arcsinh(d*x+c))^2/d/e^3/(d*x+c)^2+b^2*ln(d*x+c)/d/e^3,1],
[(a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^4,x,9,-1/3*b^2/d/e^4/(d*x+c)-1/3*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d/e^4/(d*x+c)^2-1/3*(a+b*arcsinh(d*x+c))^2/d/e^4/(d*x+c)^3+2/3*b*(a+b*arcsinh(d*x+c))*arctanh(exp(arcsinh(d*x+c)))/d/e^4+1/3*b^2*polylog(2,-exp(arcsinh(d*x+c)))/d/e^4-1/3*b^2*polylog(2,exp(arcsinh(d*x+c)))/d/e^4,1],
[(d*e*x+c*e)^4*(a+b*arcsinh(d*x+c))^3,x,14,-298/375*b^3*e^4*sqrt(1+(d*x+c)^2)/d+76/1125*b^3*e^4*(1+(d*x+c)^2)^(3/2)/d-6/625*b^3*e^4*(1+(d*x+c)^2)^(5/2)/d+16/25*b^2*e^4*(d*x+c)*(a+b*arcsinh(d*x+c))/d-8/75*b^2*e^4*(d*x+c)^3*(a+b*arcsinh(d*x+c))/d+6/125*b^2*e^4*(d*x+c)^5*(a+b*arcsinh(d*x+c))/d-8/25*b*e^4*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d+4/25*b*e^4*(d*x+c)^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d-3/25*b*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d+1/5*e^4*(d*x+c)^5*(a+b*arcsinh(d*x+c))^3/d,1],
[(d*e*x+c*e)^3*(a+b*arcsinh(d*x+c))^3,x,13,45/256*b^3*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)/d-3/128*b^3*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)/d-45/256*b^3*e^3*arcsinh(d*x+c)/d-9/32*b^2*e^3*(d*x+c)^2*(a+b*arcsinh(d*x+c))/d+3/32*b^2*e^3*(d*x+c)^4*(a+b*arcsinh(d*x+c))/d+9/32*b*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d-3/16*b*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d-3/32*e^3*(a+b*arcsinh(d*x+c))^3/d+1/4*e^3*(d*x+c)^4*(a+b*arcsinh(d*x+c))^3/d,1],
[(d*e*x+c*e)^2*(a+b*arcsinh(d*x+c))^3,x,9,14/9*b^3*e^2*sqrt(1+(d*x+c)^2)/d-2/27*b^3*e^2*(1+(d*x+c)^2)^(3/2)/d-4/3*b^2*e^2*(d*x+c)*(a+b*arcsinh(d*x+c))/d+2/9*b^2*e^2*(d*x+c)^3*(a+b*arcsinh(d*x+c))/d+2/3*b*e^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d-1/3*b*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d+1/3*e^2*(d*x+c)^3*(a+b*arcsinh(d*x+c))^3/d,1],
[(d*e*x+c*e)*(a+b*arcsinh(d*x+c))^3,x,8,-3/8*b^3*e*(d*x+c)*sqrt(1+(d*x+c)^2)/d+3/8*b^3*e*arcsinh(d*x+c)/d+3/4*b^2*e*(d*x+c)^2*(a+b*arcsinh(d*x+c))/d-3/4*b*e*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d+1/4*e*(a+b*arcsinh(d*x+c))^3/d+1/2*e*(d*x+c)^2*(a+b*arcsinh(d*x+c))^3/d,1],
[(a+b*arcsinh(d*x+c))^3,x,3,-6*b^3*sqrt(1+(d*x+c)^2)/d+6*b^2*(d*x+c)*(a+b*arcsinh(d*x+c))/d-3*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d+(d*x+c)*(a+b*arcsinh(d*x+c))^3/d,1],
[(a+b*arcsinh(d*x+c))^3/(d*e*x+c*e),x,7,-1/4*(a+b*arcsinh(d*x+c))^4/b/d/e+(a+b*arcsinh(d*x+c))^3*ln(1-exp(2*arcsinh(d*x+c)))/d/e+3/2*b*(a+b*arcsinh(d*x+c))^2*polylog(2,exp(2*arcsinh(d*x+c)))/d/e-3/2*b^2*(a+b*arcsinh(d*x+c))*polylog(3,exp(2*arcsinh(d*x+c)))/d/e+3/4*b^3*polylog(4,exp(2*arcsinh(d*x+c)))/d/e,1],
[(a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^2,x,9,-(a+b*arcsinh(d*x+c))^3/d/e^2/(d*x+c)-6*b*(a+b*arcsinh(d*x+c))^2*arctanh(exp(arcsinh(d*x+c)))/d/e^2-6*b^2*(a+b*arcsinh(d*x+c))*polylog(2,-exp(arcsinh(d*x+c)))/d/e^2+6*b^2*(a+b*arcsinh(d*x+c))*polylog(2,exp(arcsinh(d*x+c)))/d/e^2+6*b^3*polylog(3,-exp(arcsinh(d*x+c)))/d/e^2-6*b^3*polylog(3,exp(arcsinh(d*x+c)))/d/e^2,1],
[(a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^3,x,7,-3/2*b*(a+b*arcsinh(d*x+c))^2/d/e^3-3/2*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d/e^3/(d*x+c)-1/2*(a+b*arcsinh(d*x+c))^3/d/e^3/(d*x+c)^2+3*b^2*(a+b*arcsinh(d*x+c))*ln(1-exp(2*arcsinh(d*x+c)))/d/e^3+3/2*b^3*polylog(2,exp(2*arcsinh(d*x+c)))/d/e^3,1],
[(a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^4,x,14,-b^2*(a+b*arcsinh(d*x+c))/d/e^4/(d*x+c)-1/2*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^2/d/e^4/(d*x+c)^2-1/3*(a+b*arcsinh(d*x+c))^3/d/e^4/(d*x+c)^3+b*(a+b*arcsinh(d*x+c))^2*arctanh(exp(arcsinh(d*x+c)))/d/e^4-b^3*arctanh(sqrt(1+(d*x+c)^2))/d/e^4+b^2*(a+b*arcsinh(d*x+c))*polylog(2,-exp(arcsinh(d*x+c)))/d/e^4-b^2*(a+b*arcsinh(d*x+c))*polylog(2,exp(arcsinh(d*x+c)))/d/e^4-b^3*polylog(3,-exp(arcsinh(d*x+c)))/d/e^4+b^3*polylog(3,exp(arcsinh(d*x+c)))/d/e^4,1],
[(d*e*x+c*e)^3*(a+b*arcsinh(d*x+c))^4,x,16,-45/128*b^4*e^3*(d*x+c)^2/d+3/128*b^4*e^3*(d*x+c)^4/d+45/64*b^3*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d-3/32*b^3*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d-45/128*b^2*e^3*(a+b*arcsinh(d*x+c))^2/d-9/16*b^2*e^3*(d*x+c)^2*(a+b*arcsinh(d*x+c))^2/d+3/16*b^2*e^3*(d*x+c)^4*(a+b*arcsinh(d*x+c))^2/d+3/8*b*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^3/d-1/4*b*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^3/d-3/32*e^3*(a+b*arcsinh(d*x+c))^4/d+1/4*e^3*(d*x+c)^4*(a+b*arcsinh(d*x+c))^4/d,1],
[(d*e*x+c*e)^2*(a+b*arcsinh(d*x+c))^4,x,13,-160/27*b^4*e^2*x+8/81*b^4*e^2*(d*x+c)^3/d+160/27*b^3*e^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d-8/27*b^3*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d-8/3*b^2*e^2*(d*x+c)*(a+b*arcsinh(d*x+c))^2/d+4/9*b^2*e^2*(d*x+c)^3*(a+b*arcsinh(d*x+c))^2/d+8/9*b*e^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^3/d-4/9*b*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^3/d+1/3*e^2*(d*x+c)^3*(a+b*arcsinh(d*x+c))^4/d,1],
[(d*e*x+c*e)*(a+b*arcsinh(d*x+c))^4,x,9,3/4*b^4*e*(d*x+c)^2/d-3/2*b^3*e*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d+3/4*b^2*e*(a+b*arcsinh(d*x+c))^2/d+3/2*b^2*e*(d*x+c)^2*(a+b*arcsinh(d*x+c))^2/d-b*e*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^3/d+1/4*e*(a+b*arcsinh(d*x+c))^4/d+1/2*e*(d*x+c)^2*(a+b*arcsinh(d*x+c))^4/d,1],
[(a+b*arcsinh(d*x+c))^4,x,6,24*b^4*x-24*b^3*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))/d+12*b^2*(d*x+c)*(a+b*arcsinh(d*x+c))^2/d-4*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^3/d+(d*x+c)*(a+b*arcsinh(d*x+c))^4/d,1],
[(a+b*arcsinh(d*x+c))^4/(d*e*x+c*e),x,8,-1/5*(a+b*arcsinh(d*x+c))^5/b/d/e+(a+b*arcsinh(d*x+c))^4*ln(1-exp(2*arcsinh(d*x+c)))/d/e+2*b*(a+b*arcsinh(d*x+c))^3*polylog(2,exp(2*arcsinh(d*x+c)))/d/e-3*b^2*(a+b*arcsinh(d*x+c))^2*polylog(3,exp(2*arcsinh(d*x+c)))/d/e+3*b^3*(a+b*arcsinh(d*x+c))*polylog(4,exp(2*arcsinh(d*x+c)))/d/e-3/2*b^4*polylog(5,exp(2*arcsinh(d*x+c)))/d/e,1],
[(a+b*arcsinh(d*x+c))^4/(d*e*x+c*e)^2,x,11,-(a+b*arcsinh(d*x+c))^4/d/e^2/(d*x+c)-8*b*(a+b*arcsinh(d*x+c))^3*arctanh(exp(arcsinh(d*x+c)))/d/e^2-12*b^2*(a+b*arcsinh(d*x+c))^2*polylog(2,-exp(arcsinh(d*x+c)))/d/e^2+12*b^2*(a+b*arcsinh(d*x+c))^2*polylog(2,exp(arcsinh(d*x+c)))/d/e^2+24*b^3*(a+b*arcsinh(d*x+c))*polylog(3,-exp(arcsinh(d*x+c)))/d/e^2-24*b^3*(a+b*arcsinh(d*x+c))*polylog(3,exp(arcsinh(d*x+c)))/d/e^2-24*b^4*polylog(4,-exp(arcsinh(d*x+c)))/d/e^2+24*b^4*polylog(4,exp(arcsinh(d*x+c)))/d/e^2,1],
[(a+b*arcsinh(d*x+c))^4/(d*e*x+c*e)^3,x,8,-2*b*(a+b*arcsinh(d*x+c))^3/d/e^3-2*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^3/d/e^3/(d*x+c)-1/2*(a+b*arcsinh(d*x+c))^4/d/e^3/(d*x+c)^2+6*b^2*(a+b*arcsinh(d*x+c))^2*ln(1-exp(2*arcsinh(d*x+c)))/d/e^3+6*b^3*(a+b*arcsinh(d*x+c))*polylog(2,exp(2*arcsinh(d*x+c)))/d/e^3-3*b^4*polylog(3,exp(2*arcsinh(d*x+c)))/d/e^3,1],
[(a+b*arcsinh(d*x+c))^4/(d*e*x+c*e)^4,x,17,-2*b^2*(a+b*arcsinh(d*x+c))^2/d/e^4/(d*x+c)-2/3*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^3/d/e^4/(d*x+c)^2-1/3*(a+b*arcsinh(d*x+c))^4/d/e^4/(d*x+c)^3-8*b^3*(a+b*arcsinh(d*x+c))*arctanh(exp(arcsinh(d*x+c)))/d/e^4+4/3*b*(a+b*arcsinh(d*x+c))^3*arctanh(exp(arcsinh(d*x+c)))/d/e^4-4*b^4*polylog(2,-exp(arcsinh(d*x+c)))/d/e^4+2*b^2*(a+b*arcsinh(d*x+c))^2*polylog(2,-exp(arcsinh(d*x+c)))/d/e^4+4*b^4*polylog(2,exp(arcsinh(d*x+c)))/d/e^4-2*b^2*(a+b*arcsinh(d*x+c))^2*polylog(2,exp(arcsinh(d*x+c)))/d/e^4-4*b^3*(a+b*arcsinh(d*x+c))*polylog(3,-exp(arcsinh(d*x+c)))/d/e^4+4*b^3*(a+b*arcsinh(d*x+c))*polylog(3,exp(arcsinh(d*x+c)))/d/e^4+4*b^4*polylog(4,-exp(arcsinh(d*x+c)))/d/e^4-4*b^4*polylog(4,exp(arcsinh(d*x+c)))/d/e^4,1],
[(d*e*x+c*e)^4/(a+b*arcsinh(d*x+c)),x,14,1/8*e^4*cosh(a/b)*Chi((a+b*arcsinh(d*x+c))/b)/b/d-3/16*e^4*cosh(3*a/b)*Chi(3*(a+b*arcsinh(d*x+c))/b)/b/d+1/16*e^4*cosh(5*a/b)*Chi(5*(a+b*arcsinh(d*x+c))/b)/b/d-1/8*e^4*sinh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b/d+3/16*e^4*sinh(3*a/b)*Shi(3*(a+b*arcsinh(d*x+c))/b)/b/d-1/16*e^4*sinh(5*a/b)*Shi(5*(a+b*arcsinh(d*x+c))/b)/b/d,1],
[(d*e*x+c*e)^3/(a+b*arcsinh(d*x+c)),x,11,1/4*e^3*Chi(2*(a+b*arcsinh(d*x+c))/b)*sinh(2*a/b)/b/d-1/8*e^3*Chi(4*(a+b*arcsinh(d*x+c))/b)*sinh(4*a/b)/b/d-1/4*e^3*cosh(2*a/b)*Shi(2*(a+b*arcsinh(d*x+c))/b)/b/d+1/8*e^3*cosh(4*a/b)*Shi(4*(a+b*arcsinh(d*x+c))/b)/b/d,1],
[(d*e*x+c*e)^2/(a+b*arcsinh(d*x+c)),x,11,-1/4*e^2*cosh(a/b)*Chi((a+b*arcsinh(d*x+c))/b)/b/d+1/4*e^2*cosh(3*a/b)*Chi(3*(a+b*arcsinh(d*x+c))/b)/b/d+1/4*e^2*sinh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b/d-1/4*e^2*sinh(3*a/b)*Shi(3*(a+b*arcsinh(d*x+c))/b)/b/d,1],
[(d*e*x+c*e)/(a+b*arcsinh(d*x+c)),x,8,-1/2*e*Chi(2*(a+b*arcsinh(d*x+c))/b)*sinh(2*a/b)/b/d+1/2*e*cosh(2*a/b)*Shi(2*(a+b*arcsinh(d*x+c))/b)/b/d,1],
[1/(a+b*arcsinh(d*x+c)),x,5,cosh(a/b)*Chi((a+b*arcsinh(d*x+c))/b)/b/d-sinh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b/d,1],
[1/(d*e*x+c*e)/(a+b*arcsinh(d*x+c)),x,2,Defer(Int)(1/(d*x+c)/(a+b*arcsinh(d*x+c)),x)/e,0],
[(d*e*x+c*e)^4/(a+b*arcsinh(d*x+c))^2,x,13,-e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))-1/8*e^4*Chi((a+b*arcsinh(d*x+c))/b)*sinh(a/b)/b^2/d+9/16*e^4*Chi(3*(a+b*arcsinh(d*x+c))/b)*sinh(3*a/b)/b^2/d-5/16*e^4*Chi(5*(a+b*arcsinh(d*x+c))/b)*sinh(5*a/b)/b^2/d+1/8*e^4*cosh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b^2/d-9/16*e^4*cosh(3*a/b)*Shi(3*(a+b*arcsinh(d*x+c))/b)/b^2/d+5/16*e^4*cosh(5*a/b)*Shi(5*(a+b*arcsinh(d*x+c))/b)/b^2/d,1],
[(d*e*x+c*e)^3/(a+b*arcsinh(d*x+c))^2,x,10,-e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))-1/2*e^3*cosh(2*a/b)*Chi(2*(a+b*arcsinh(d*x+c))/b)/b^2/d+1/2*e^3*cosh(4*a/b)*Chi(4*(a+b*arcsinh(d*x+c))/b)/b^2/d+1/2*e^3*sinh(2*a/b)*Shi(2*(a+b*arcsinh(d*x+c))/b)/b^2/d-1/2*e^3*sinh(4*a/b)*Shi(4*(a+b*arcsinh(d*x+c))/b)/b^2/d,1],
[(d*e*x+c*e)^2/(a+b*arcsinh(d*x+c))^2,x,10,-e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))+1/4*e^2*Chi((a+b*arcsinh(d*x+c))/b)*sinh(a/b)/b^2/d-3/4*e^2*Chi(3*(a+b*arcsinh(d*x+c))/b)*sinh(3*a/b)/b^2/d-1/4*e^2*cosh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b^2/d+3/4*e^2*cosh(3*a/b)*Shi(3*(a+b*arcsinh(d*x+c))/b)/b^2/d,1],
[(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^2,x,6,-e*(d*x+c)*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))+e*cosh(2*a/b)*Chi(2*(a+b*arcsinh(d*x+c))/b)/b^2/d-e*sinh(2*a/b)*Shi(2*(a+b*arcsinh(d*x+c))/b)/b^2/d,1],
[1/(a+b*arcsinh(d*x+c))^2,x,6,-sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))-Chi((a+b*arcsinh(d*x+c))/b)*sinh(a/b)/b^2/d+cosh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b^2/d,1],
[1/(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^2,x,2,Defer(Int)(1/(d*x+c)/(a+b*arcsinh(d*x+c))^2,x)/e,0],
[(d*e*x+c*e)^4/(a+b*arcsinh(d*x+c))^3,x,26,-1/2*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^2-2*e^4*(d*x+c)^3/b^2/d/(a+b*arcsinh(d*x+c))-5/2*e^4*(d*x+c)^5/b^2/d/(a+b*arcsinh(d*x+c))+1/16*e^4*cosh(a/b)*Chi((a+b*arcsinh(d*x+c))/b)/b^3/d-27/32*e^4*cosh(3*a/b)*Chi(3*(a+b*arcsinh(d*x+c))/b)/b^3/d+25/32*e^4*cosh(5*a/b)*Chi(5*(a+b*arcsinh(d*x+c))/b)/b^3/d-1/16*e^4*sinh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b^3/d+27/32*e^4*sinh(3*a/b)*Shi(3*(a+b*arcsinh(d*x+c))/b)/b^3/d-25/32*e^4*sinh(5*a/b)*Shi(5*(a+b*arcsinh(d*x+c))/b)/b^3/d,1],
[(d*e*x+c*e)^3/(a+b*arcsinh(d*x+c))^3,x,20,-1/2*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^2-3/2*e^3*(d*x+c)^2/b^2/d/(a+b*arcsinh(d*x+c))-2*e^3*(d*x+c)^4/b^2/d/(a+b*arcsinh(d*x+c))+1/2*e^3*Chi(2*(a+b*arcsinh(d*x+c))/b)*sinh(2*a/b)/b^3/d-e^3*Chi(4*(a+b*arcsinh(d*x+c))/b)*sinh(4*a/b)/b^3/d-1/2*e^3*cosh(2*a/b)*Shi(2*(a+b*arcsinh(d*x+c))/b)/b^3/d+e^3*cosh(4*a/b)*Shi(4*(a+b*arcsinh(d*x+c))/b)/b^3/d,1],
[(d*e*x+c*e)^2/(a+b*arcsinh(d*x+c))^3,x,18,-1/2*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^2-e^2*(d*x+c)/b^2/d/(a+b*arcsinh(d*x+c))-3/2*e^2*(d*x+c)^3/b^2/d/(a+b*arcsinh(d*x+c))-1/8*e^2*cosh(a/b)*Chi((a+b*arcsinh(d*x+c))/b)/b^3/d+9/8*e^2*cosh(3*a/b)*Chi(3*(a+b*arcsinh(d*x+c))/b)/b^3/d+1/8*e^2*sinh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b^3/d-9/8*e^2*sinh(3*a/b)*Shi(3*(a+b*arcsinh(d*x+c))/b)/b^3/d,1],
[(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^3,x,11,-1/2*e*(d*x+c)*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^2-1/2*e/b^2/d/(a+b*arcsinh(d*x+c))-e*(d*x+c)^2/b^2/d/(a+b*arcsinh(d*x+c))-e*Chi(2*(a+b*arcsinh(d*x+c))/b)*sinh(2*a/b)/b^3/d+e*cosh(2*a/b)*Shi(2*(a+b*arcsinh(d*x+c))/b)/b^3/d,1],
[1/(a+b*arcsinh(d*x+c))^3,x,7,-1/2*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^2-1/2*(d*x+c)/b^2/d/(a+b*arcsinh(d*x+c))+1/2*cosh(a/b)*Chi((a+b*arcsinh(d*x+c))/b)/b^3/d-1/2*sinh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b^3/d,1],
[1/(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^3,x,2,Defer(Int)(1/(d*x+c)/(a+b*arcsinh(d*x+c))^3,x)/e,0],
[(d*e*x+c*e)^4/(a+b*arcsinh(d*x+c))^4,x,24,-1/3*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^3-2/3*e^4*(d*x+c)^3/b^2/d/(a+b*arcsinh(d*x+c))^2-5/6*e^4*(d*x+c)^5/b^2/d/(a+b*arcsinh(d*x+c))^2-2*e^4*(d*x+c)^2*sqrt(1+(d*x+c)^2)/b^3/d/(a+b*arcsinh(d*x+c))-25/6*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)/b^3/d/(a+b*arcsinh(d*x+c))-1/48*e^4*Chi((a+b*arcsinh(d*x+c))/b)*sinh(a/b)/b^4/d+27/32*e^4*Chi(3*(a+b*arcsinh(d*x+c))/b)*sinh(3*a/b)/b^4/d-125/96*e^4*Chi(5*(a+b*arcsinh(d*x+c))/b)*sinh(5*a/b)/b^4/d+1/48*e^4*cosh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b^4/d-27/32*e^4*cosh(3*a/b)*Shi(3*(a+b*arcsinh(d*x+c))/b)/b^4/d+125/96*e^4*cosh(5*a/b)*Shi(5*(a+b*arcsinh(d*x+c))/b)/b^4/d,1],
[(d*e*x+c*e)^3/(a+b*arcsinh(d*x+c))^4,x,17,-1/3*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^3-1/2*e^3*(d*x+c)^2/b^2/d/(a+b*arcsinh(d*x+c))^2-2/3*e^3*(d*x+c)^4/b^2/d/(a+b*arcsinh(d*x+c))^2-e^3*(d*x+c)*sqrt(1+(d*x+c)^2)/b^3/d/(a+b*arcsinh(d*x+c))-8/3*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)/b^3/d/(a+b*arcsinh(d*x+c))-1/3*e^3*cosh(2*a/b)*Chi(2*(a+b*arcsinh(d*x+c))/b)/b^4/d+4/3*e^3*cosh(4*a/b)*Chi(4*(a+b*arcsinh(d*x+c))/b)/b^4/d+1/3*e^3*sinh(2*a/b)*Shi(2*(a+b*arcsinh(d*x+c))/b)/b^4/d-4/3*e^3*sinh(4*a/b)*Shi(4*(a+b*arcsinh(d*x+c))/b)/b^4/d,1],
[(d*e*x+c*e)^2/(a+b*arcsinh(d*x+c))^4,x,18,-1/3*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^3-1/3*e^2*(d*x+c)/b^2/d/(a+b*arcsinh(d*x+c))^2-1/2*e^2*(d*x+c)^3/b^2/d/(a+b*arcsinh(d*x+c))^2-1/3*e^2*sqrt(1+(d*x+c)^2)/b^3/d/(a+b*arcsinh(d*x+c))-3/2*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)/b^3/d/(a+b*arcsinh(d*x+c))+1/24*e^2*Chi((a+b*arcsinh(d*x+c))/b)*sinh(a/b)/b^4/d-9/8*e^2*Chi(3*(a+b*arcsinh(d*x+c))/b)*sinh(3*a/b)/b^4/d-1/24*e^2*cosh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b^4/d+9/8*e^2*cosh(3*a/b)*Shi(3*(a+b*arcsinh(d*x+c))/b)/b^4/d,1],
[(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^4,x,9,-1/3*e*(d*x+c)*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^3-1/6*e/b^2/d/(a+b*arcsinh(d*x+c))^2-1/3*e*(d*x+c)^2/b^2/d/(a+b*arcsinh(d*x+c))^2-2/3*e*(d*x+c)*sqrt(1+(d*x+c)^2)/b^3/d/(a+b*arcsinh(d*x+c))+2/3*e*cosh(2*a/b)*Chi(2*(a+b*arcsinh(d*x+c))/b)/b^4/d-2/3*e*sinh(2*a/b)*Shi(2*(a+b*arcsinh(d*x+c))/b)/b^4/d,1],
[1/(a+b*arcsinh(d*x+c))^4,x,8,-1/3*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^3-1/6*(d*x+c)/b^2/d/(a+b*arcsinh(d*x+c))^2-1/6*sqrt(1+(d*x+c)^2)/b^3/d/(a+b*arcsinh(d*x+c))-1/6*Chi((a+b*arcsinh(d*x+c))/b)*sinh(a/b)/b^4/d+1/6*cosh(a/b)*Shi((a+b*arcsinh(d*x+c))/b)/b^4/d,1],
[1/(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^4,x,2,Defer(Int)(1/(d*x+c)/(a+b*arcsinh(d*x+c))^4,x)/e,0],
[(d*e*x+c*e)^4*sqrt(a+b*arcsinh(d*x+c)),x,11,1/5*e^4*(d*x+c)^5*sqrt(a+b*arcsinh(d*x+c))/d+1/32*sqrt(b)*e^4*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-1/64*sqrt(b)*e^4*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+1/320*sqrt(b)*e^4*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-1/32*sqrt(b)*e^4*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b)+1/64*sqrt(b)*e^4*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b)-1/320*sqrt(b)*e^4*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(5*a/b),1],
[(d*e*x+c*e)^3*sqrt(a+b*arcsinh(d*x+c)),x,9,-3/32*e^3*sqrt(a+b*arcsinh(d*x+c))/d+1/4*e^3*(d*x+c)^4*sqrt(a+b*arcsinh(d*x+c))/d-1/256*sqrt(b)*e^3*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+1/32*sqrt(b)*e^3*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-1/256*sqrt(b)*e^3*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(4*a/b)+1/32*sqrt(b)*e^3*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(2*a/b),1],
[(d*e*x+c*e)^2*sqrt(a+b*arcsinh(d*x+c)),x,9,1/3*e^2*(d*x+c)^3*sqrt(a+b*arcsinh(d*x+c))/d-1/16*sqrt(b)*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+1/48*sqrt(b)*e^2*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+1/16*sqrt(b)*e^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b)-1/48*sqrt(b)*e^2*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b),1],
[(d*e*x+c*e)*sqrt(a+b*arcsinh(d*x+c)),x,7,1/4*e*sqrt(a+b*arcsinh(d*x+c))/d+1/2*e*(d*x+c)^2*sqrt(a+b*arcsinh(d*x+c))/d-1/16*sqrt(b)*e*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-1/16*sqrt(b)*e*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(2*a/b),1],
[sqrt(a+b*arcsinh(d*x+c)),x,6,(d*x+c)*sqrt(a+b*arcsinh(d*x+c))/d+1/4*sqrt(b)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-1/4*sqrt(b)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b),1],
[sqrt(a+b*arcsinh(d*x+c))/(d*e*x+c*e),x,2,Defer(Int)(sqrt(a+b*arcsinh(d*x+c))/(d*x+c),x)/e,0],
[(d*e*x+c*e)^4*(a+b*arcsinh(d*x+c))^(3/2),x,23,-4/25*b*e^4*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d+2/25*b*e^4*(d*x+c)^2*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d-3/50*b*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d+1/5*e^4*(d*x+c)^5*(a+b*arcsinh(d*x+c))^(3/2)/d+3/64*b^(3/2)*e^4*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-1/200*b^(3/2)*e^4*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-3/3200*b^(3/2)*e^4*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+3/3200*b^(3/2)*e^4*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+3/64*b^(3/2)*e^4*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b)-1/200*b^(3/2)*e^4*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b)-3/3200*b^(3/2)*e^4*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b)+3/3200*b^(3/2)*e^4*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(5*a/b),1],
[(d*e*x+c*e)^3*(a+b*arcsinh(d*x+c))^(3/2),x,16,9/64*b*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d-3/32*b*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d-3/32*e^3*(a+b*arcsinh(d*x+c))^(3/2)/d+1/4*e^3*(d*x+c)^4*(a+b*arcsinh(d*x+c))^(3/2)/d-3/2048*b^(3/2)*e^3*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+3/128*b^(3/2)*e^3*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+3/2048*b^(3/2)*e^3*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(4*a/b)-3/128*b^(3/2)*e^3*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(2*a/b),1],
[(d*e*x+c*e)^2*(a+b*arcsinh(d*x+c))^(3/2),x,14,1/3*b*e^2*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d-1/6*b*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d+1/3*e^2*(d*x+c)^3*(a+b*arcsinh(d*x+c))^(3/2)/d-3/32*b^(3/2)*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+1/96*b^(3/2)*e^2*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-3/32*b^(3/2)*e^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b)+1/96*b^(3/2)*e^2*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b),1],
[(d*e*x+c*e)*(a+b*arcsinh(d*x+c))^(3/2),x,9,-3/8*b*e*(d*x+c)*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d+1/4*e*(a+b*arcsinh(d*x+c))^(3/2)/d+1/2*e*(d*x+c)^2*(a+b*arcsinh(d*x+c))^(3/2)/d-3/64*b^(3/2)*e*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+3/64*b^(3/2)*e*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(2*a/b),1],
[(a+b*arcsinh(d*x+c))^(3/2),x,6,-3/2*b*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d+(d*x+c)*(a+b*arcsinh(d*x+c))^(3/2)/d+3/8*b^(3/2)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+3/8*b^(3/2)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b),1],
[(a+b*arcsinh(d*x+c))^(3/2)/(d*e*x+c*e),x,2,Defer(Int)((a+b*arcsinh(d*x+c))^(3/2)/(d*x+c),x)/e,0],
[(d*e*x+c*e)^4*(a+b*arcsinh(d*x+c))^(5/2),x,27,2/5*b^2*e^4*(d*x+c)*sqrt(a+b*arcsinh(d*x+c))/d-1/15*b^2*e^4*(d*x+c)^3*sqrt(a+b*arcsinh(d*x+c))/d+3/100*b^2*e^4*(d*x+c)^5*sqrt(a+b*arcsinh(d*x+c))/d-4/15*b*e^4*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d+2/15*b*e^4*(d*x+c)^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d-1/10*b*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d+1/5*e^4*(d*x+c)^5*(a+b*arcsinh(d*x+c))^(5/2)/d+15/128*b^(5/2)*e^4*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-1/240*b^(5/2)*e^4*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-1/1280*b^(5/2)*e^4*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+3/6400*b^(5/2)*e^4*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-15/128*b^(5/2)*e^4*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b)+1/240*b^(5/2)*e^4*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b)+1/1280*b^(5/2)*e^4*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b)-3/6400*b^(5/2)*e^4*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(5*a/b),1],
[(d*e*x+c*e)^3*(a+b*arcsinh(d*x+c))^(5/2),x,18,-225/2048*b^2*e^3*sqrt(a+b*arcsinh(d*x+c))/d-45/256*b^2*e^3*(d*x+c)^2*sqrt(a+b*arcsinh(d*x+c))/d+15/256*b^2*e^3*(d*x+c)^4*sqrt(a+b*arcsinh(d*x+c))/d+15/64*b*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d-5/32*b*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d-3/32*e^3*(a+b*arcsinh(d*x+c))^(5/2)/d+1/4*e^3*(d*x+c)^4*(a+b*arcsinh(d*x+c))^(5/2)/d-15/16384*b^(5/2)*e^3*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+15/512*b^(5/2)*e^3*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-15/16384*b^(5/2)*e^3*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(4*a/b)+15/512*b^(5/2)*e^3*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(2*a/b),1],
[(d*e*x+c*e)^2*(a+b*arcsinh(d*x+c))^(5/2),x,17,-5/6*b^2*e^2*(d*x+c)*sqrt(a+b*arcsinh(d*x+c))/d+5/36*b^2*e^2*(d*x+c)^3*sqrt(a+b*arcsinh(d*x+c))/d+5/9*b*e^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d-5/18*b*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d+1/3*e^2*(d*x+c)^3*(a+b*arcsinh(d*x+c))^(5/2)/d-15/64*b^(5/2)*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+5/576*b^(5/2)*e^2*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+15/64*b^(5/2)*e^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b)-5/576*b^(5/2)*e^2*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b),1],
[(d*e*x+c*e)*(a+b*arcsinh(d*x+c))^(5/2),x,10,15/64*b^2*e*sqrt(a+b*arcsinh(d*x+c))/d+15/32*b^2*e*(d*x+c)^2*sqrt(a+b*arcsinh(d*x+c))/d-5/8*b*e*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d+1/4*e*(a+b*arcsinh(d*x+c))^(5/2)/d+1/2*e*(d*x+c)^2*(a+b*arcsinh(d*x+c))^(5/2)/d-15/256*b^(5/2)*e*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-15/256*b^(5/2)*e*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(2*a/b),1],
[(a+b*arcsinh(d*x+c))^(5/2),x,8,15/4*b^2*(d*x+c)*sqrt(a+b*arcsinh(d*x+c))/d-5/2*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(3/2)/d+(d*x+c)*(a+b*arcsinh(d*x+c))^(5/2)/d+15/16*b^(5/2)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-15/16*b^(5/2)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b),1],
[(a+b*arcsinh(d*x+c))^(5/2)/(d*e*x+c*e),x,2,Defer(Int)((a+b*arcsinh(d*x+c))^(5/2)/(d*x+c),x)/e,0],
[(d*e*x+c*e)^4*(a+b*arcsinh(d*x+c))^(7/2),x,44,-1813/1125*b^3*e^4*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d+119/1125*b^3*e^4*(d*x+c)^2*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d-21/1000*b^3*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d+14/15*b^2*e^4*(d*x+c)*(a+b*arcsinh(d*x+c))^(3/2)/d-7/45*b^2*e^4*(d*x+c)^3*(a+b*arcsinh(d*x+c))^(3/2)/d+7/100*b^2*e^4*(d*x+c)^5*(a+b*arcsinh(d*x+c))^(3/2)/d-28/75*b*e^4*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(5/2)/d+14/75*b*e^4*(d*x+c)^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(5/2)/d-7/50*b*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(5/2)/d+1/5*e^4*(d*x+c)^5*(a+b*arcsinh(d*x+c))^(7/2)/d+105/256*b^(7/2)*e^4*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-119/18000*b^(7/2)*e^4*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-21/64000*b^(7/2)*e^4*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+21/64000*b^(7/2)*e^4*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+105/256*b^(7/2)*e^4*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b)-119/18000*b^(7/2)*e^4*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b)-21/64000*b^(7/2)*e^4*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b)+21/64000*b^(7/2)*e^4*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(5*a/b),1],
[(d*e*x+c*e)^3*(a+b*arcsinh(d*x+c))^(7/2),x,27,1575/4096*b^3*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d-105/2048*b^3*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d-525/2048*b^2*e^3*(a+b*arcsinh(d*x+c))^(3/2)/d-105/256*b^2*e^3*(d*x+c)^2*(a+b*arcsinh(d*x+c))^(3/2)/d+35/256*b^2*e^3*(d*x+c)^4*(a+b*arcsinh(d*x+c))^(3/2)/d+21/64*b*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(5/2)/d-7/32*b*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(5/2)/d-3/32*e^3*(a+b*arcsinh(d*x+c))^(7/2)/d+1/4*e^3*(d*x+c)^4*(a+b*arcsinh(d*x+c))^(7/2)/d-105/131072*b^(7/2)*e^3*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+105/2048*b^(7/2)*e^3*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+105/131072*b^(7/2)*e^3*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(4*a/b)-105/2048*b^(7/2)*e^3*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(2*a/b),1],
[(d*e*x+c*e)^2*(a+b*arcsinh(d*x+c))^(7/2),x,22,175/54*b^3*e^2*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d-35/216*b^3*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d-35/18*b^2*e^2*(d*x+c)*(a+b*arcsinh(d*x+c))^(3/2)/d+35/108*b^2*e^2*(d*x+c)^3*(a+b*arcsinh(d*x+c))^(3/2)/d+7/9*b*e^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(5/2)/d-7/18*b*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(5/2)/d+1/3*e^2*(d*x+c)^3*(a+b*arcsinh(d*x+c))^(7/2)/d-105/128*b^(7/2)*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+35/3456*b^(7/2)*e^2*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d-105/128*b^(7/2)*e^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b)+35/3456*b^(7/2)*e^2*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(3*a/b),1],
[(d*e*x+c*e)*(a+b*arcsinh(d*x+c))^(7/2),x,12,-105/128*b^3*e*(d*x+c)*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d+35/64*b^2*e*(a+b*arcsinh(d*x+c))^(3/2)/d+35/32*b^2*e*(d*x+c)^2*(a+b*arcsinh(d*x+c))^(3/2)/d-7/8*b*e*(d*x+c)*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(5/2)/d+1/4*e*(a+b*arcsinh(d*x+c))^(7/2)/d+1/2*e*(d*x+c)^2*(a+b*arcsinh(d*x+c))^(7/2)/d-105/1024*b^(7/2)*e*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+105/1024*b^(7/2)*e*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(2*a/b),1],
[(a+b*arcsinh(d*x+c))^(7/2),x,8,-105/8*b^3*sqrt(1+(d*x+c)^2)*sqrt(a+b*arcsinh(d*x+c))/d+35/4*b^2*(d*x+c)*(a+b*arcsinh(d*x+c))^(3/2)/d-7/2*b*sqrt(1+(d*x+c)^2)*(a+b*arcsinh(d*x+c))^(5/2)/d+(d*x+c)*(a+b*arcsinh(d*x+c))^(7/2)/d+105/32*b^(7/2)*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d+105/32*b^(7/2)*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/d/exp(a/b),1],
[(a+b*arcsinh(d*x+c))^(7/2)/(d*e*x+c*e),x,2,Defer(Int)((a+b*arcsinh(d*x+c))^(7/2)/(d*x+c),x)/e,0],
[(d*e*x+c*e)^4/sqrt(a+b*arcsinh(d*x+c)),x,10,1/16*e^4*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d-1/32*e^4*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d+1/32*e^4*exp(5*a/b)*sqrt(1/5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d+1/16*e^4*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d/exp(a/b)-1/32*e^4*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d/exp(3*a/b)+1/32*e^4*sqrt(1/5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d/exp(5*a/b),1],
[(d*e*x+c*e)^3/sqrt(a+b*arcsinh(d*x+c)),x,8,-1/32*e^3*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d+1/8*e^3*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d+1/32*e^3*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d/exp(4*a/b)-1/8*e^3*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d/exp(2*a/b),1],
[(d*e*x+c*e)^2/sqrt(a+b*arcsinh(d*x+c)),x,8,-1/8*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d+1/8*e^2*exp(3*a/b)*sqrt(1/3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d-1/8*e^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d/exp(a/b)+1/8*e^2*sqrt(1/3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d/exp(3*a/b),1],
[(d*e*x+c*e)/sqrt(a+b*arcsinh(d*x+c)),x,6,-1/4*e*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d+1/4*e*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d/exp(2*a/b),1],
[1/sqrt(a+b*arcsinh(d*x+c)),x,4,1/2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d+1/2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/sqrt(b)/d/exp(a/b),1],
[1/(d*e*x+c*e)/sqrt(a+b*arcsinh(d*x+c)),x,2,Defer(Int)(1/(d*x+c)/sqrt(a+b*arcsinh(d*x+c)),x)/e,0],
[(d*e*x+c*e)^4/(a+b*arcsinh(d*x+c))^(3/2),x,19,-2*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)/b/d/sqrt(a+b*arcsinh(d*x+c))-1/8*e^4*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d+3/16*e^4*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d-1/16*e^4*exp(5*a/b)*sqrt(5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d+1/8*e^4*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d/exp(a/b)-3/16*e^4*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d/exp(3*a/b)+1/16*e^4*sqrt(5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d/exp(5*a/b),1],
[(d*e*x+c*e)^3/(a+b*arcsinh(d*x+c))^(3/2),x,14,-2*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)/b/d/sqrt(a+b*arcsinh(d*x+c))+1/4*e^3*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d-1/2*e^3*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d+1/4*e^3*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d/exp(4*a/b)-1/2*e^3*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d/exp(2*a/b),1],
[(d*e*x+c*e)^2/(a+b*arcsinh(d*x+c))^(3/2),x,14,-2*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)/b/d/sqrt(a+b*arcsinh(d*x+c))+1/4*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d-1/4*e^2*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d-1/4*e^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d/exp(a/b)+1/4*e^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d/exp(3*a/b),1],
[(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^(3/2),x,8,-2*e*(d*x+c)*sqrt(1+(d*x+c)^2)/b/d/sqrt(a+b*arcsinh(d*x+c))+e*exp(2*a/b)*sqrt(1/2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d+e*sqrt(1/2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d/exp(2*a/b),1],
[1/(a+b*arcsinh(d*x+c))^(3/2),x,6,-2*sqrt(1+(d*x+c)^2)/b/d/sqrt(a+b*arcsinh(d*x+c))-exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d+sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(3/2)/d/exp(a/b),1],
[1/(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^(3/2),x,2,Defer(Int)(1/(d*x+c)/(a+b*arcsinh(d*x+c))^(3/2),x)/e,0],
[(d*e*x+c*e)^4/(a+b*arcsinh(d*x+c))^(5/2),x,19,-2/3*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(3/2)-16/3*e^4*(d*x+c)^3/b^2/d/sqrt(a+b*arcsinh(d*x+c))-20/3*e^4*(d*x+c)^5/b^2/d/sqrt(a+b*arcsinh(d*x+c))+1/12*e^4*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d-3/8*e^4*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d+5/24*e^4*exp(5*a/b)*sqrt(5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d+1/12*e^4*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d/exp(a/b)-3/8*e^4*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d/exp(3*a/b)+5/24*e^4*sqrt(5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d/exp(5*a/b),1],
[(d*e*x+c*e)^3/(a+b*arcsinh(d*x+c))^(5/2),x,15,-2/3*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(3/2)-4*e^3*(d*x+c)^2/b^2/d/sqrt(a+b*arcsinh(d*x+c))-16/3*e^3*(d*x+c)^4/b^2/d/sqrt(a+b*arcsinh(d*x+c))-2/3*e^3*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d+1/3*e^3*exp(2*a/b)*sqrt(2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d+2/3*e^3*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d/exp(4*a/b)-1/3*e^3*sqrt(2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d/exp(2*a/b),1],
[(d*e*x+c*e)^2/(a+b*arcsinh(d*x+c))^(5/2),x,14,-2/3*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(3/2)-8/3*e^2*(d*x+c)/b^2/d/sqrt(a+b*arcsinh(d*x+c))-4*e^2*(d*x+c)^3/b^2/d/sqrt(a+b*arcsinh(d*x+c))-1/6*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d+1/2*e^2*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d-1/6*e^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d/exp(a/b)+1/2*e^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d/exp(3*a/b),1],
[(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^(5/2),x,9,-2/3*e*(d*x+c)*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(3/2)-4/3*e/b^2/d/sqrt(a+b*arcsinh(d*x+c))-8/3*e*(d*x+c)^2/b^2/d/sqrt(a+b*arcsinh(d*x+c))-2/3*e*exp(2*a/b)*sqrt(2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d+2/3*e*sqrt(2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d/exp(2*a/b),1],
[1/(a+b*arcsinh(d*x+c))^(5/2),x,6,-2/3*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(3/2)-4/3*(d*x+c)/b^2/d/sqrt(a+b*arcsinh(d*x+c))+2/3*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d+2/3*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(5/2)/d/exp(a/b),1],
[1/(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^(5/2),x,2,Defer(Int)(1/(d*x+c)/(a+b*arcsinh(d*x+c))^(5/2),x)/e,0],
[(d*e*x+c*e)^4/(a+b*arcsinh(d*x+c))^(7/2),x,34,-2/5*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(5/2)-16/15*e^4*(d*x+c)^3/b^2/d/(a+b*arcsinh(d*x+c))^(3/2)-4/3*e^4*(d*x+c)^5/b^2/d/(a+b*arcsinh(d*x+c))^(3/2)-32/5*e^4*(d*x+c)^2*sqrt(1+(d*x+c)^2)/b^3/d/sqrt(a+b*arcsinh(d*x+c))-40/3*e^4*(d*x+c)^4*sqrt(1+(d*x+c)^2)/b^3/d/sqrt(a+b*arcsinh(d*x+c))-1/30*e^4*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d+9/20*e^4*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d-5/12*e^4*exp(5*a/b)*sqrt(5*Pi)*erf(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d+1/30*e^4*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d/exp(a/b)-9/20*e^4*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d/exp(3*a/b)+5/12*e^4*sqrt(5*Pi)*erfi(sqrt(5)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d/exp(5*a/b),1],
[(d*e*x+c*e)^3/(a+b*arcsinh(d*x+c))^(7/2),x,23,-2/5*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(5/2)-4/5*e^3*(d*x+c)^2/b^2/d/(a+b*arcsinh(d*x+c))^(3/2)-16/15*e^3*(d*x+c)^4/b^2/d/(a+b*arcsinh(d*x+c))^(3/2)-16/5*e^3*(d*x+c)*sqrt(1+(d*x+c)^2)/b^3/d/sqrt(a+b*arcsinh(d*x+c))-128/15*e^3*(d*x+c)^3*sqrt(1+(d*x+c)^2)/b^3/d/sqrt(a+b*arcsinh(d*x+c))+16/15*e^3*exp(4*a/b)*sqrt(Pi)*erf(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d-4/15*e^3*exp(2*a/b)*sqrt(2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d+16/15*e^3*sqrt(Pi)*erfi(2*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d/exp(4*a/b)-4/15*e^3*sqrt(2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d/exp(2*a/b),1],
[(d*e*x+c*e)^2/(a+b*arcsinh(d*x+c))^(7/2),x,22,-2/5*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(5/2)-8/15*e^2*(d*x+c)/b^2/d/(a+b*arcsinh(d*x+c))^(3/2)-4/5*e^2*(d*x+c)^3/b^2/d/(a+b*arcsinh(d*x+c))^(3/2)-16/15*e^2*sqrt(1+(d*x+c)^2)/b^3/d/sqrt(a+b*arcsinh(d*x+c))-24/5*e^2*(d*x+c)^2*sqrt(1+(d*x+c)^2)/b^3/d/sqrt(a+b*arcsinh(d*x+c))+1/15*e^2*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d-3/5*e^2*exp(3*a/b)*sqrt(3*Pi)*erf(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d-1/15*e^2*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d/exp(a/b)+3/5*e^2*sqrt(3*Pi)*erfi(sqrt(3)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d/exp(3*a/b),1],
[(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^(7/2),x,11,-2/5*e*(d*x+c)*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(5/2)-4/15*e/b^2/d/(a+b*arcsinh(d*x+c))^(3/2)-8/15*e*(d*x+c)^2/b^2/d/(a+b*arcsinh(d*x+c))^(3/2)-32/15*e*(d*x+c)*sqrt(1+(d*x+c)^2)/b^3/d/sqrt(a+b*arcsinh(d*x+c))+8/15*e*exp(2*a/b)*sqrt(2*Pi)*erf(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d+8/15*e*sqrt(2*Pi)*erfi(sqrt(2)*sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d/exp(2*a/b),1],
[1/(a+b*arcsinh(d*x+c))^(7/2),x,8,-2/5*sqrt(1+(d*x+c)^2)/b/d/(a+b*arcsinh(d*x+c))^(5/2)-4/15*(d*x+c)/b^2/d/(a+b*arcsinh(d*x+c))^(3/2)-8/15*sqrt(1+(d*x+c)^2)/b^3/d/sqrt(a+b*arcsinh(d*x+c))-4/15*exp(a/b)*sqrt(Pi)*erf(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d+4/15*sqrt(Pi)*erfi(sqrt(a+b*arcsinh(d*x+c))/sqrt(b))/b^(7/2)/d/exp(a/b),1],
[1/(d*e*x+c*e)/(a+b*arcsinh(d*x+c))^(7/2),x,2,Defer(Int)(1/(d*x+c)/(a+b*arcsinh(d*x+c))^(7/2),x)/e,0],
[(d*e*x+c*e)^(7/2)*(a+b*arcsinh(d*x+c)),x,10,28/405*b*e^2*(e*(d*x+c))^(3/2)*sqrt(1+(d*x+c)^2)/d-4/81*b*(e*(d*x+c))^(7/2)*sqrt(1+(d*x+c)^2)/d-28/135*b*e^3*sqrt(e*(d*x+c))*sqrt(1+(d*x+c)^2)/d/(d*x+c+1)+2/9*(e*(d*x+c))^(9/2)*(a+b*arcsinh(d*x+c))/d/e+28/135*b*e^(7/2)*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*EllipticE(sin(2*arctan(sqrt(e*(d*x+c))/sqrt(e))),sqrt(1/2))/d/sqrt(1+(d*x+c)^2)-14/135*b*e^(7/2)*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*InverseJacobiAM(2*arctan(sqrt(e*(d*x+c))/sqrt(e)),sqrt(1/2))/d/sqrt(1+(d*x+c)^2),1],
[(d*e*x+c*e)^(5/2)*(a+b*arcsinh(d*x+c)),x,7,20/147*b*e^2*sqrt(e*(d*x+c))*sqrt(1+(d*x+c)^2)/d-4/49*b*(e*(d*x+c))^(5/2)*sqrt(1+(d*x+c)^2)/d+2/7*(e*(d*x+c))^(7/2)*(a+b*arcsinh(d*x+c))/d/e-10/147*b*e^(5/2)*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*InverseJacobiAM(2*arctan(sqrt(e*(d*x+c))/sqrt(e)),sqrt(1/2))/d/sqrt(1+(d*x+c)^2),1],
[(d*e*x+c*e)^(3/2)*(a+b*arcsinh(d*x+c)),x,9,-4/25*b*(e*(d*x+c))^(3/2)*sqrt(1+(d*x+c)^2)/d+12/25*b*e*sqrt(e*(d*x+c))*sqrt(1+(d*x+c)^2)/d/(d*x+c+1)+2/5*(e*(d*x+c))^(5/2)*(a+b*arcsinh(d*x+c))/d/e-12/25*b*e^(3/2)*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*EllipticE(sin(2*arctan(sqrt(e*(d*x+c))/sqrt(e))),sqrt(1/2))/d/sqrt(1+(d*x+c)^2)+6/25*b*e^(3/2)*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*InverseJacobiAM(2*arctan(sqrt(e*(d*x+c))/sqrt(e)),sqrt(1/2))/d/sqrt(1+(d*x+c)^2),1],
[sqrt(d*e*x+c*e)*(a+b*arcsinh(d*x+c)),x,6,-4/9*b*sqrt(e*(d*x+c))*sqrt(1+(d*x+c)^2)/d+2/3*(e*(d*x+c))^(3/2)*(a+b*arcsinh(d*x+c))/d/e+2/9*b*sqrt(e)*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*InverseJacobiAM(2*arctan(sqrt(e*(d*x+c))/sqrt(e)),sqrt(1/2))/d/sqrt(1+(d*x+c)^2),1],
[(a+b*arcsinh(d*x+c))/sqrt(d*e*x+c*e),x,8,-4*b*sqrt(e*(d*x+c))*sqrt(1+(d*x+c)^2)/d/e/(d*x+c+1)+2*sqrt(e*(d*x+c))*(a+b*arcsinh(d*x+c))/d/e+4*b*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*EllipticE(sin(2*arctan(sqrt(e*(d*x+c))/sqrt(e))),sqrt(1/2))/d/sqrt(e)/sqrt(1+(d*x+c)^2)-2*b*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*InverseJacobiAM(2*arctan(sqrt(e*(d*x+c))/sqrt(e)),sqrt(1/2))/d/sqrt(e)/sqrt(1+(d*x+c)^2),1],
[(a+b*arcsinh(d*x+c))/(d*e*x+c*e)^(3/2),x,5,(-2*a-2*b*arcsinh(d*x+c))/d/e/sqrt(e*(d*x+c))+2*b*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*InverseJacobiAM(2*arctan(sqrt(e*(d*x+c))/sqrt(e)),sqrt(1/2))/d/e^(3/2)/sqrt(1+(d*x+c)^2),1],
[(a+b*arcsinh(d*x+c))/(d*e*x+c*e)^(5/2),x,9,-4/3*b*sqrt(1+(d*x+c)^2)/d/e^2/sqrt(e*(d*x+c))+4/3*b*sqrt(e*(d*x+c))*sqrt(1+(d*x+c)^2)/d/e^3/(d*x+c+1)-2/3*(a+b*arcsinh(d*x+c))/d/e/(e*(d*x+c))^(3/2)-4/3*b*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*EllipticE(sin(2*arctan(sqrt(e*(d*x+c))/sqrt(e))),sqrt(1/2))/d/e^(5/2)/sqrt(1+(d*x+c)^2)+2/3*b*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*InverseJacobiAM(2*arctan(sqrt(e*(d*x+c))/sqrt(e)),sqrt(1/2))/d/e^(5/2)/sqrt(1+(d*x+c)^2),1],
[(a+b*arcsinh(d*x+c))/(d*e*x+c*e)^(7/2),x,6,-4/15*b*sqrt(1+(d*x+c)^2)/d/e^2/(e*(d*x+c))^(3/2)-2/5*(a+b*arcsinh(d*x+c))/d/e/(e*(d*x+c))^(5/2)-2/15*b*(d*x+c+1)*sqrt((1+(d*x+c)^2)/(d*x+c+1)^2)*InverseJacobiAM(2*arctan(sqrt(e*(d*x+c))/sqrt(e)),sqrt(1/2))/d/e^(7/2)/sqrt(1+(d*x+c)^2),1],
[(d*e*x+c*e)^(7/2)*(a+b*arcsinh(d*x+c))^2,x,4,2/9*(e*(d*x+c))^(9/2)*(a+b*arcsinh(d*x+c))^2/d/e-8/99*b*(e*(d*x+c))^(11/2)*(a+b*arcsinh(d*x+c))*hypergeom([1/2, 11/4],[15/4],-(d*x+c)^2)/d/e^2+16/1287*b^2*(e*(d*x+c))^(13/2)*hypergeom([1, 13/4, 13/4],[15/4, 17/4],-(d*x+c)^2)/d/e^3,1],
[(d*e*x+c*e)^(5/2)*(a+b*arcsinh(d*x+c))^2,x,4,2/7*(e*(d*x+c))^(7/2)*(a+b*arcsinh(d*x+c))^2/d/e-8/63*b*(e*(d*x+c))^(9/2)*(a+b*arcsinh(d*x+c))*hypergeom([1/2, 9/4],[13/4],-(d*x+c)^2)/d/e^2+16/693*b^2*(e*(d*x+c))^(11/2)*hypergeom([1, 11/4, 11/4],[13/4, 15/4],-(d*x+c)^2)/d/e^3,1],
[(d*e*x+c*e)^(3/2)*(a+b*arcsinh(d*x+c))^2,x,4,2/5*(e*(d*x+c))^(5/2)*(a+b*arcsinh(d*x+c))^2/d/e-8/35*b*(e*(d*x+c))^(7/2)*(a+b*arcsinh(d*x+c))*hypergeom([1/2, 7/4],[11/4],-(d*x+c)^2)/d/e^2+16/315*b^2*(e*(d*x+c))^(9/2)*hypergeom([1, 9/4, 9/4],[11/4, 13/4],-(d*x+c)^2)/d/e^3,1],
[sqrt(d*e*x+c*e)*(a+b*arcsinh(d*x+c))^2,x,4,2/3*(e*(d*x+c))^(3/2)*(a+b*arcsinh(d*x+c))^2/d/e-8/15*b*(e*(d*x+c))^(5/2)*(a+b*arcsinh(d*x+c))*hypergeom([1/2, 5/4],[9/4],-(d*x+c)^2)/d/e^2+16/105*b^2*(e*(d*x+c))^(7/2)*hypergeom([1, 7/4, 7/4],[9/4, 11/4],-(d*x+c)^2)/d/e^3,1],
[(a+b*arcsinh(d*x+c))^2/sqrt(d*e*x+c*e),x,4,2*sqrt(e*(d*x+c))*(a+b*arcsinh(d*x+c))^2/d/e-8/3*b*(e*(d*x+c))^(3/2)*(a+b*arcsinh(d*x+c))*hypergeom([1/2, 3/4],[7/4],-(d*x+c)^2)/d/e^2+16/15*b^2*(e*(d*x+c))^(5/2)*hypergeom([1, 5/4, 5/4],[7/4, 9/4],-(d*x+c)^2)/d/e^3,1],
[(a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^(3/2),x,4,-2*(a+b*arcsinh(d*x+c))^2/d/e/sqrt(e*(d*x+c))+8*b*sqrt(e*(d*x+c))*(a+b*arcsinh(d*x+c))*hypergeom([1/4, 1/2],[5/4],-(d*x+c)^2)/d/e^2-16/3*b^2*(e*(d*x+c))^(3/2)*hypergeom([3/4, 3/4, 1],[5/4, 7/4],-(d*x+c)^2)/d/e^3,1],
[(a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^(5/2),x,4,-2/3*(a+b*arcsinh(d*x+c))^2/d/e/(e*(d*x+c))^(3/2)-8/3*b*(a+b*arcsinh(d*x+c))*hypergeom([-1/4, 1/2],[3/4],-(d*x+c)^2)/d/e^2/sqrt(e*(d*x+c))+16/3*b^2*sqrt(e*(d*x+c))*hypergeom([1/4, 1/4, 1],[3/4, 5/4],-(d*x+c)^2)/d/e^3,1],
[(a+b*arcsinh(d*x+c))^2/(d*e*x+c*e)^(7/2),x,4,-2/5*(a+b*arcsinh(d*x+c))^2/d/e/(e*(d*x+c))^(5/2)-8/15*b*(a+b*arcsinh(d*x+c))*hypergeom([-3/4, 1/2],[1/4],-(d*x+c)^2)/d/e^2/(e*(d*x+c))^(3/2)-16/15*b^2*hypergeom([-1/4, -1/4, 1],[1/4, 3/4],-(d*x+c)^2)/d/e^3/sqrt(e*(d*x+c)),1],
[(d*e*x+c*e)^(5/2)*(a+b*arcsinh(d*x+c))^3,x,1,Defer(Int)((e*(d*x+c))^(5/2)*(a+b*arcsinh(d*x+c))^3,x),0],
[(d*e*x+c*e)^(3/2)*(a+b*arcsinh(d*x+c))^3,x,1,Defer(Int)((e*(d*x+c))^(3/2)*(a+b*arcsinh(d*x+c))^3,x),0],
[sqrt(d*e*x+c*e)*(a+b*arcsinh(d*x+c))^3,x,1,Defer(Int)(sqrt(e*(d*x+c))*(a+b*arcsinh(d*x+c))^3,x),0],
[(a+b*arcsinh(d*x+c))^3/sqrt(d*e*x+c*e),x,1,Defer(Int)((a+b*arcsinh(d*x+c))^3/sqrt(e*(d*x+c)),x),0],
[(a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^(3/2),x,1,Defer(Int)((a+b*arcsinh(d*x+c))^3/(e*(d*x+c))^(3/2),x),0],
[(a+b*arcsinh(d*x+c))^3/(d*e*x+c*e)^(5/2),x,1,Defer(Int)((a+b*arcsinh(d*x+c))^3/(e*(d*x+c))^(5/2),x),0],
[(d*e*x+c*e)^m*(a+b*arcsinh(d*x+c))^4,x,1,Defer(Int)((e*(d*x+c))^m*(a+b*arcsinh(d*x+c))^4,x),0],
[(d*e*x+c*e)^m*(a+b*arcsinh(d*x+c))^3,x,1,Defer(Int)((e*(d*x+c))^m*(a+b*arcsinh(d*x+c))^3,x),0],
[(d*e*x+c*e)^m*(a+b*arcsinh(d*x+c))^2,x,4,(e*(d*x+c))^(1+m)*(a+b*arcsinh(d*x+c))^2/d/e/(1+m)-2*b*(e*(d*x+c))^(2+m)*(a+b*arcsinh(d*x+c))*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-(d*x+c)^2)/d/e^2/(1+m)/(2+m)+2*b^2*(e*(d*x+c))^(3+m)*hypergeom([1, 3/2+1/2*m, 3/2+1/2*m],[2+1/2*m, 5/2+1/2*m],-(d*x+c)^2)/d/e^3/(1+m)/(m^2+5*m+6),1],
[(d*e*x+c*e)^m*(a+b*arcsinh(d*x+c)),x,4,(e*(d*x+c))^(1+m)*(a+b*arcsinh(d*x+c))/d/e/(1+m)-b*(e*(d*x+c))^(2+m)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],-(d*x+c)^2)/d/e^2/(1+m)/(2+m),1],
[(d*e*x+c*e)^m/(a+b*arcsinh(d*x+c)),x,1,Defer(Int)((e*(d*x+c))^m/(a+b*arcsinh(d*x+c)),x),0],
[(d*e*x+c*e)^m/(a+b*arcsinh(d*x+c))^2,x,1,Defer(Int)((e*(d*x+c))^m/(a+b*arcsinh(d*x+c))^2,x),0],
[(a+b*arcsinh(d*x+c))/(f*x+e),x,9,-1/2*(a+b*arcsinh(d*x+c))^2/b/f+(a+b*arcsinh(d*x+c))*ln(1+exp(arcsinh(d*x+c))*f/(d*e-c*f-sqrt(d^2*e^2-2*c*d*e*f+(c^2+1)*f^2)))/f+(a+b*arcsinh(d*x+c))*ln(1+exp(arcsinh(d*x+c))*f/(d*e-c*f+sqrt(d^2*e^2-2*c*d*e*f+(c^2+1)*f^2)))/f+b*polylog(2,-exp(arcsinh(d*x+c))*f/(d*e-c*f-sqrt(d^2*e^2-2*c*d*e*f+(c^2+1)*f^2)))/f+b*polylog(2,-exp(arcsinh(d*x+c))*f/(d*e-c*f+sqrt(d^2*e^2-2*c*d*e*f+(c^2+1)*f^2)))/f,1],
[sqrt(b^2*x^2+2*a*b*x+a^2+1)*arcsinh(b*x+a)^3,x,7,-3/8*(b*x+a)^2/b+3/4*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b-3/8*arcsinh(b*x+a)^2/b-3/4*(b*x+a)^2*arcsinh(b*x+a)^2/b+1/2*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^3/b+1/8*arcsinh(b*x+a)^4/b,1],
[sqrt(b^2*x^2+2*a*b*x+a^2+1)*arcsinh(b*x+a)^2,x,6,1/4*(b*x+a)*sqrt(1+(b*x+a)^2)/b-1/4*arcsinh(b*x+a)/b-1/2*(b*x+a)^2*arcsinh(b*x+a)/b+1/2*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^2/b+1/6*arcsinh(b*x+a)^3/b,1],
[sqrt(b^2*x^2+2*a*b*x+a^2+1)*arcsinh(b*x+a),x,4,-1/4*(b*x+a)^2/b+1/2*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b+1/4*arcsinh(b*x+a)^2/b,1],
[sqrt(b^2*x^2+2*a*b*x+a^2+1)/arcsinh(b*x+a),x,5,1/2*Chi(2*arcsinh(b*x+a))/b+1/2*ln(arcsinh(b*x+a))/b,1],
[sqrt(b^2*x^2+2*a*b*x+a^2+1)/arcsinh(b*x+a)^2,x,6,-(1+(b*x+a)^2)/b/arcsinh(b*x+a)+Shi(2*arcsinh(b*x+a))/b,1],
[sqrt(b^2*x^2+2*a*b*x+a^2+1)/arcsinh(b*x+a)^3,x,4,1/2*(-1-(b*x+a)^2)/b/arcsinh(b*x+a)^2-(b*x+a)*sqrt(1+(b*x+a)^2)/b/arcsinh(b*x+a)+Chi(2*arcsinh(b*x+a))/b,1],
[(b^2*x^2+2*a*b*x+a^2+1)^(3/2)*arcsinh(b*x+a)^3,x,14,-45/128*(b*x+a)^2/b-3/128*(1+(b*x+a)^2)^2/b+45/64*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b+3/32*(b*x+a)*(1+(b*x+a)^2)^(3/2)*arcsinh(b*x+a)/b-27/128*arcsinh(b*x+a)^2/b-9/16*(b*x+a)^2*arcsinh(b*x+a)^2/b-3/16*(1+(b*x+a)^2)^2*arcsinh(b*x+a)^2/b+3/8*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^3/b+1/4*(b*x+a)*(1+(b*x+a)^2)^(3/2)*arcsinh(b*x+a)^3/b+3/32*arcsinh(b*x+a)^4/b,1],
[(b^2*x^2+2*a*b*x+a^2+1)^(3/2)*arcsinh(b*x+a)^2,x,11,15/64*(b*x+a)*sqrt(1+(b*x+a)^2)/b+1/32*(b*x+a)*(1+(b*x+a)^2)^(3/2)/b-9/64*arcsinh(b*x+a)/b-3/8*(b*x+a)^2*arcsinh(b*x+a)/b-1/8*(1+(b*x+a)^2)^2*arcsinh(b*x+a)/b+3/8*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)^2/b+1/4*(b*x+a)*(1+(b*x+a)^2)^(3/2)*arcsinh(b*x+a)^2/b+1/8*arcsinh(b*x+a)^3/b,1],
[(b^2*x^2+2*a*b*x+a^2+1)^(3/2)*arcsinh(b*x+a),x,6,-3/16*(b*x+a)^2/b-1/16*(1+(b*x+a)^2)^2/b+3/8*(b*x+a)*sqrt(1+(b*x+a)^2)*arcsinh(b*x+a)/b+1/4*(b*x+a)*(1+(b*x+a)^2)^(3/2)*arcsinh(b*x+a)/b+3/16*arcsinh(b*x+a)^2/b,1],
[(b^2*x^2+2*a*b*x+a^2+1)^(3/2)/arcsinh(b*x+a),x,6,1/2*Chi(2*arcsinh(b*x+a))/b+1/8*Chi(4*arcsinh(b*x+a))/b+3/8*ln(arcsinh(b*x+a))/b,1],
[(b^2*x^2+2*a*b*x+a^2+1)^(3/2)/arcsinh(b*x+a)^2,x,7,-(1+(b*x+a)^2)^2/b/arcsinh(b*x+a)+Shi(2*arcsinh(b*x+a))/b+1/2*Shi(4*arcsinh(b*x+a))/b,1],
[(b^2*x^2+2*a*b*x+a^2+1)^(3/2)/arcsinh(b*x+a)^3,x,11,-1/2*(1+(b*x+a)^2)^2/b/arcsinh(b*x+a)^2-2*(b*x+a)*(1+(b*x+a)^2)^(3/2)/b/arcsinh(b*x+a)+Chi(2*arcsinh(b*x+a))/b+Chi(4*arcsinh(b*x+a))/b,1],
[arcsinh(b*x+a)^3/sqrt(b^2*x^2+2*a*b*x+a^2+1),x,2,1/4*arcsinh(b*x+a)^4/b,1],
[arcsinh(b*x+a)^2/sqrt(b^2*x^2+2*a*b*x+a^2+1),x,2,1/3*arcsinh(b*x+a)^3/b,1],
[arcsinh(b*x+a)/sqrt(b^2*x^2+2*a*b*x+a^2+1),x,2,1/2*arcsinh(b*x+a)^2/b,1],
[1/sqrt(b^2*x^2+2*a*b*x+a^2+1)/arcsinh(b*x+a),x,2,ln(arcsinh(b*x+a))/b,1],
[1/sqrt(b^2*x^2+2*a*b*x+a^2+1)/arcsinh(b*x+a)^2,x,2,-1/b/arcsinh(b*x+a),1],
[1/sqrt(b^2*x^2+2*a*b*x+a^2+1)/arcsinh(b*x+a)^3,x,2,-1/2/b/arcsinh(b*x+a)^2,1],
[arcsinh(b*x+a)^3/(b^2*x^2+2*a*b*x+a^2+1)^(3/2),x,6,arcsinh(b*x+a)^3/b+(b*x+a)*arcsinh(b*x+a)^3/b/sqrt(1+(b*x+a)^2)-3*arcsinh(b*x+a)^2*ln(1+exp(2*arcsinh(b*x+a)))/b-3*arcsinh(b*x+a)*polylog(2,-exp(2*arcsinh(b*x+a)))/b+3/2*polylog(3,-exp(2*arcsinh(b*x+a)))/b,1],
[arcsinh(b*x+a)^2/(b^2*x^2+2*a*b*x+a^2+1)^(3/2),x,5,arcsinh(b*x+a)^2/b+(b*x+a)*arcsinh(b*x+a)^2/b/sqrt(1+(b*x+a)^2)-2*arcsinh(b*x+a)*ln(1+exp(2*arcsinh(b*x+a)))/b-polylog(2,-exp(2*arcsinh(b*x+a)))/b,1],
[arcsinh(b*x+a)/(b^2*x^2+2*a*b*x+a^2+1)^(3/2),x,3,(b*x+a)*arcsinh(b*x+a)/b/sqrt(1+(b*x+a)^2)-1/2*ln(1+(b*x+a)^2)/b,1],
[1/(b^2*x^2+2*a*b*x+a^2+1)^(3/2)/arcsinh(b*x+a),x,1,Defer(Int)(1/(1+(b*x+a)^2)^(3/2)/arcsinh(b*x+a),x),0],
[1/(b^2*x^2+2*a*b*x+a^2+1)^(3/2)/arcsinh(b*x+a)^2,x,1,Defer(Int)(1/(1+(b*x+a)^2)^(3/2)/arcsinh(b*x+a)^2,x),0],
[x^3*arcsinh(a*x^2),x,5,-1/8*x^2*sqrt(a^2*x^4+1)/a+1/8*arcsinh(a*x^2)/a^2+1/4*x^4*arcsinh(a*x^2),1],
[x^2*arcsinh(a*x^2),x,4,-2/9*x*sqrt(a^2*x^4+1)/a+1/3*x^3*arcsinh(a*x^2)+1/9*(a*x^2+1)*sqrt((a^2*x^4+1)/(a*x^2+1)^2)*InverseJacobiAM(2*arctan(sqrt(a)*x),sqrt(1/2))/a^(3/2)/sqrt(a^2*x^4+1),1],
[x*arcsinh(a*x^2),x,3,-1/2*sqrt(a^2*x^4+1)/a+1/2*x^2*arcsinh(a*x^2),1],
[arcsinh(a*x^2),x,6,-2*x*sqrt(a^2*x^4+1)/(a*x^2+1)+x*arcsinh(a*x^2)+2*(a*x^2+1)*sqrt((a^2*x^4+1)/(a*x^2+1)^2)*EllipticE(sin(2*arctan(sqrt(a)*x)),sqrt(1/2))/sqrt(a)/sqrt(a^2*x^4+1)-(a*x^2+1)*sqrt((a^2*x^4+1)/(a*x^2+1)^2)*InverseJacobiAM(2*arctan(sqrt(a)*x),sqrt(1/2))/sqrt(a)/sqrt(a^2*x^4+1),1],
[arcsinh(a*x^2)/x,x,5,-1/4*arcsinh(a*x^2)^2+1/2*arcsinh(a*x^2)*ln(1-exp(2*arcsinh(a*x^2)))+1/4*polylog(2,exp(2*arcsinh(a*x^2))),1],
[arcsinh(a*x^2)/x^2,x,3,-arcsinh(a*x^2)/x+sqrt(a)*(a*x^2+1)*sqrt((a^2*x^4+1)/(a*x^2+1)^2)*InverseJacobiAM(2*arctan(sqrt(a)*x),sqrt(1/2))/sqrt(a^2*x^4+1),1],
[arcsinh(a*x^2)/x^3,x,5,-1/2*arcsinh(a*x^2)/x^2-1/2*a*arctanh(sqrt(a^2*x^4+1)),1],
[arcsinh(a*x^2)/x^4,x,7,-2/3*a*sqrt(a^2*x^4+1)/x+2*a^2*x*sqrt(a^2*x^4+1)/(3*a*x^2+3)-1/3*arcsinh(a*x^2)/x^3-2/3*a^(3/2)*(a*x^2+1)*sqrt((a^2*x^4+1)/(a*x^2+1)^2)*EllipticE(sin(2*arctan(sqrt(a)*x)),sqrt(1/2))/sqrt(a^2*x^4+1)+1/3*a^(3/2)*(a*x^2+1)*sqrt((a^2*x^4+1)/(a*x^2+1)^2)*InverseJacobiAM(2*arctan(sqrt(a)*x),sqrt(1/2))/sqrt(a^2*x^4+1),1],
[arcsinh(a*x^5)/x,x,5,-1/10*arcsinh(a*x^5)^2+1/5*arcsinh(a*x^5)*ln(1-exp(2*arcsinh(a*x^5)))+1/10*polylog(2,exp(2*arcsinh(a*x^5))),1],
[x^2*arcsinh(sqrt(x)),x,7,-5/48*sqrt(x)*sqrt(1+x)+5/72*x^(3/2)*sqrt(1+x)-1/18*x^(5/2)*sqrt(1+x)+5/48*arcsinh(sqrt(x))+1/3*x^3*arcsinh(sqrt(x)),1],
[x*arcsinh(sqrt(x)),x,6,3/16*sqrt(x)*sqrt(1+x)-1/8*x^(3/2)*sqrt(1+x)-3/16*arcsinh(sqrt(x))+1/2*x^2*arcsinh(sqrt(x)),1],
[arcsinh(sqrt(x)),x,7,-1/2*sqrt(x)*sqrt(1+x)+1/2*arcsinh(sqrt(x))+x*arcsinh(sqrt(x)),1],
[arcsinh(sqrt(x))/x,x,5,-arcsinh(sqrt(x))^2+2*arcsinh(sqrt(x))*ln(1-exp(2*arcsinh(sqrt(x))))+polylog(2,exp(2*arcsinh(sqrt(x)))),1],
[arcsinh(sqrt(x))/x^2,x,3,-sqrt(1+x)/sqrt(x)-arcsinh(sqrt(x))/x,1],
[arcsinh(sqrt(x))/x^3,x,4,-1/6*sqrt(1+x)/x^(3/2)+1/3*sqrt(1+x)/sqrt(x)-1/2*arcsinh(sqrt(x))/x^2,1],
[arcsinh(sqrt(x))/x^4,x,5,-1/15*sqrt(1+x)/x^(5/2)+4/45*sqrt(1+x)/x^(3/2)-8/45*sqrt(1+x)/sqrt(x)-1/3*arcsinh(sqrt(x))/x^3,1],
[arcsinh(sqrt(x))/x^5,x,6,-1/28*sqrt(1+x)/x^(7/2)+3/70*sqrt(1+x)/x^(5/2)-2/35*sqrt(1+x)/x^(3/2)+4/35*sqrt(1+x)/sqrt(x)-1/4*arcsinh(sqrt(x))/x^4,1],
[x^2*arcsinh(a/x),x,7,1/6*a*sqrt(1+a^2/x^2)*x^2+1/3*x^3*arccsch(x/a)-1/6*a^3*arctanh(sqrt(1+a^2/x^2)),1],
[x*arcsinh(a/x),x,3,1/2*a*sqrt(1+a^2/x^2)*x+1/2*x^2*arccsch(x/a),1],
[arcsinh(a/x),x,5,x*arccsch(x/a)+a*arctanh(sqrt(1+a^2/x^2)),1],
[arcsinh(a/x)/x,x,5,1/2*arcsinh(a/x)^2-arcsinh(a/x)*ln(1-exp(2*arcsinh(a/x)))-1/2*polylog(2,exp(2*arcsinh(a/x))),1],
[arcsinh(a/x)/x^2,x,3,sqrt(1+a^2/x^2)/a-arccsch(x/a)/x,1],
[arcsinh(a/x)/x^3,x,5,1/4*sqrt(1+a^2/x^2)/a/x-1/4*arccsch(x/a)/a^2-1/2*arccsch(x/a)/x^2,1],
[arcsinh(a/x)/x^4,x,5,-1/3*sqrt(1+a^2/x^2)/a^3+1/9*(1+a^2/x^2)^(3/2)/a^3-1/3*arccsch(x/a)/x^3,1],
[x^m*arcsinh(a*x^n),x,3,x^(1+m)*arcsinh(a*x^n)/(1+m)-a*n*x^(1+m+n)*hypergeom([1/2, 1/2*(1+m+n)/n],[1/2*(1+m+3*n)/n],-a^2*x^(2*n))/(1+m)/(1+m+n),1],
[x^2*arcsinh(a*x^n),x,3,1/3*x^3*arcsinh(a*x^n)-a*n*x^(3+n)*hypergeom([1/2, 1/2*(3+n)/n],[3/2*(1+n)/n],-a^2*x^(2*n))/(9+3*n),1],
[x*arcsinh(a*x^n),x,3,1/2*x^2*arcsinh(a*x^n)-a*n*x^(2+n)*hypergeom([1/2, 1/2*(2+n)/n],[3/2+1/n],-a^2*x^(2*n))/(4+2*n),1],
[arcsinh(a*x^n),x,3,x*arcsinh(a*x^n)-a*n*x^(1+n)*hypergeom([1/2, 1/2*(1+n)/n],[3/2+1/2/n],-a^2*x^(2*n))/(1+n),1],
[arcsinh(a*x^n)/x,x,5,-1/2*arcsinh(a*x^n)^2/n+arcsinh(a*x^n)*ln(1-exp(2*arcsinh(a*x^n)))/n+1/2*polylog(2,exp(2*arcsinh(a*x^n)))/n,1],
[arcsinh(a*x^n)/x^2,x,3,-arcsinh(a*x^n)/x-a*n*x^(-1+n)*hypergeom([1/2, -1/2*(1-n)/n],[3/2-1/2/n],-a^2*x^(2*n))/(1-n),1],
[arcsinh(a*x^n)/x^3,x,3,-1/2*arcsinh(a*x^n)/x^2-a*n*x^(-2+n)*hypergeom([1/2, 1/2-1/n],[3/2-1/n],-a^2*x^(2*n))/(4-2*n),1],
[(a+I*b*arcsin(1-I*d*x^2))^4,x,3,384*b^4*x-192*b^3*sqrt(2*I*d*x^2+d^2*x^4)*(a+I*b*arcsin(1-I*d*x^2))/d/x+48*b^2*x*(a+I*b*arcsin(1-I*d*x^2))^2-8*b*sqrt(2*I*d*x^2+d^2*x^4)*(a+I*b*arcsin(1-I*d*x^2))^3/d/x+x*(a+I*b*arcsin(1-I*d*x^2))^4,1],
[(a+I*b*arcsin(1-I*d*x^2))^3,x,5,24*a*b^2*x-48*b^3*sqrt(2*I*d*x^2+d^2*x^4)/d/x+24*I*b^3*x*arcsin(1-I*d*x^2)-6*b*sqrt(2*I*d*x^2+d^2*x^4)*(a+I*b*arcsin(1-I*d*x^2))^2/d/x+x*(a+I*b*arcsin(1-I*d*x^2))^3,1],
[(a+I*b*arcsin(1-I*d*x^2))^2,x,2,8*b^2*x-4*b*sqrt(2*I*d*x^2+d^2*x^4)*(a+I*b*arcsin(1-I*d*x^2))/d/x+x*(a+I*b*arcsin(1-I*d*x^2))^2,1],
[a+I*b*arcsin(1-I*d*x^2),x,4,a*x-2*b*sqrt(2*I*d*x^2+d^2*x^4)/d/x+I*b*x*arcsin(1-I*d*x^2),1],
[1/(a+I*b*arcsin(1-I*d*x^2)),x,1,1/2*x*Ci(-1/2*I*(a+I*b*arcsin(1-I*d*x^2))/b)*(I*cosh(1/2*a/b)-sinh(1/2*a/b))/b/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2)))-1/2*x*(I*cosh(1/2*a/b)+sinh(1/2*a/b))*Si(1/2*I*a/b-1/2*arcsin(1-I*d*x^2))/b/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2))),1],
[1/(a+I*b*arcsin(1-I*d*x^2))^2,x,1,-1/2*sqrt(2*I*d*x^2+d^2*x^4)/b/d/x/(a+I*b*arcsin(1-I*d*x^2))+1/4*x*Ci(-1/2*I*(a+I*b*arcsin(1-I*d*x^2))/b)*(cosh(1/2*a/b)-I*sinh(1/2*a/b))/b^2/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2)))+1/4*x*(cosh(1/2*a/b)+I*sinh(1/2*a/b))*Si(1/2*I*a/b-1/2*arcsin(1-I*d*x^2))/b^2/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2))),1],
[1/(a+I*b*arcsin(1-I*d*x^2))^3,x,2,-1/4*sqrt(2*I*d*x^2+d^2*x^4)/b/d/x/(a+I*b*arcsin(1-I*d*x^2))^2-1/8*x/b^2/(a+I*b*arcsin(1-I*d*x^2))+1/16*x*Ci(-1/2*I*(a+I*b*arcsin(1-I*d*x^2))/b)*(I*cosh(1/2*a/b)-sinh(1/2*a/b))/b^3/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2)))-1/16*x*(I*cosh(1/2*a/b)+sinh(1/2*a/b))*Si(1/2*I*a/b-1/2*arcsin(1-I*d*x^2))/b^3/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2))),1],
[(a-I*b*arcsin(1+I*d*x^2))^4,x,3,384*b^4*x-192*b^3*sqrt(-2*I*d*x^2+d^2*x^4)*(a-I*b*arcsin(1+I*d*x^2))/d/x+48*b^2*x*(a-I*b*arcsin(1+I*d*x^2))^2-8*b*sqrt(-2*I*d*x^2+d^2*x^4)*(a-I*b*arcsin(1+I*d*x^2))^3/d/x+x*(a-I*b*arcsin(1+I*d*x^2))^4,1],
[(a-I*b*arcsin(1+I*d*x^2))^3,x,5,24*a*b^2*x-48*b^3*sqrt(-2*I*d*x^2+d^2*x^4)/d/x-24*I*b^3*x*arcsin(1+I*d*x^2)-6*b*sqrt(-2*I*d*x^2+d^2*x^4)*(a-I*b*arcsin(1+I*d*x^2))^2/d/x+x*(a-I*b*arcsin(1+I*d*x^2))^3,1],
[(a-I*b*arcsin(1+I*d*x^2))^2,x,2,8*b^2*x-4*b*sqrt(-2*I*d*x^2+d^2*x^4)*(a-I*b*arcsin(1+I*d*x^2))/d/x+x*(a-I*b*arcsin(1+I*d*x^2))^2,1],
[a-I*b*arcsin(1+I*d*x^2),x,4,a*x-2*b*sqrt(-2*I*d*x^2+d^2*x^4)/d/x-I*b*x*arcsin(1+I*d*x^2),1],
[1/(a-I*b*arcsin(1+I*d*x^2)),x,1,-1/2*x*Ci(1/2*I*(a-I*b*arcsin(1+I*d*x^2))/b)*(I*cosh(1/2*a/b)+sinh(1/2*a/b))/b/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2)))+1/2*x*(cosh(1/2*a/b)+I*sinh(1/2*a/b))*Shi(1/2*(a-I*b*arcsin(1+I*d*x^2))/b)/b/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2))),1],
[1/(a-I*b*arcsin(1+I*d*x^2))^2,x,1,-1/2*sqrt(-2*I*d*x^2+d^2*x^4)/b/d/x/(a-I*b*arcsin(1+I*d*x^2))+1/4*x*Ci(1/2*I*(a-I*b*arcsin(1+I*d*x^2))/b)*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/b^2/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2)))-1/4*x*(I*cosh(1/2*a/b)+sinh(1/2*a/b))*Shi(1/2*(a-I*b*arcsin(1+I*d*x^2))/b)/b^2/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2))),1],
[1/(a-I*b*arcsin(1+I*d*x^2))^3,x,2,-1/4*sqrt(-2*I*d*x^2+d^2*x^4)/b/d/x/(a-I*b*arcsin(1+I*d*x^2))^2-1/8*x/b^2/(a-I*b*arcsin(1+I*d*x^2))-1/16*x*Ci(1/2*I*(a-I*b*arcsin(1+I*d*x^2))/b)*(I*cosh(1/2*a/b)+sinh(1/2*a/b))/b^3/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2)))+1/16*x*(cosh(1/2*a/b)+I*sinh(1/2*a/b))*Shi(1/2*(a-I*b*arcsin(1+I*d*x^2))/b)/b^3/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2))),1],
[(a+I*b*arcsin(1-I*d*x^2))^(5/2),x,2,15*b^2*x*sqrt(a+I*b*arcsin(1-I*d*x^2))-5*b*sqrt(2*I*d*x^2+d^2*x^4)*(a+I*b*arcsin(1-I*d*x^2))^(3/2)/d/x+x*(a+I*b*arcsin(1-I*d*x^2))^(5/2)+15*b^2*sqrt(Pi)*x*FresnelS(sqrt(-I/b)*sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/sqrt(-I/b)/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2)))-15*sqrt(-I/b)*b^3*sqrt(Pi)*x*FresnelC(sqrt(-I/b)*sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(Pi))*(I*cosh(1/2*a/b)+sinh(1/2*a/b))/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2))),1],
[(a+I*b*arcsin(1-I*d*x^2))^(3/2),x,2,-3*b*sqrt(2*I*d*x^2+d^2*x^4)*sqrt(a+I*b*arcsin(1-I*d*x^2))/d/x+x*(a+I*b*arcsin(1-I*d*x^2))^(3/2)+3*sqrt(I*b)*b*sqrt(Pi)*x*FresnelC(sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(I*b)/sqrt(Pi))*(I*cosh(1/2*a/b)-sinh(1/2*a/b))/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2)))-3*b^2*sqrt(Pi)*x*FresnelS(sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(I*b)/sqrt(Pi))*(cosh(1/2*a/b)-I*sinh(1/2*a/b))/sqrt(I*b)/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2))),1],
[sqrt(a+I*b*arcsin(1-I*d*x^2)),x,1,x*sqrt(a+I*b*arcsin(1-I*d*x^2))+sqrt(Pi)*x*FresnelS(sqrt(-I/b)*sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/sqrt(-I/b)/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2)))-sqrt(-I/b)*b*sqrt(Pi)*x*FresnelC(sqrt(-I/b)*sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(Pi))*(I*cosh(1/2*a/b)+sinh(1/2*a/b))/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2))),1],
[1/sqrt(a+I*b*arcsin(1-I*d*x^2)),x,1,-sqrt(Pi)*x*FresnelS(sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(I*b)/sqrt(Pi))*(cosh(1/2*a/b)-I*sinh(1/2*a/b))/sqrt(I*b)/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2)))-sqrt(Pi)*x*FresnelC(sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(I*b)/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/sqrt(I*b)/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2))),1],
[1/(a+I*b*arcsin(1-I*d*x^2))^(3/2),x,1,-sqrt(2*I*d*x^2+d^2*x^4)/b/d/x/sqrt(a+I*b*arcsin(1-I*d*x^2))-(-I/b)^(3/2)*sqrt(Pi)*x*FresnelC(sqrt(-I/b)*sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)-I*sinh(1/2*a/b))/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2)))+(-I/b)^(3/2)*sqrt(Pi)*x*FresnelS(sqrt(-I/b)*sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2))),1],
[1/(a+I*b*arcsin(1-I*d*x^2))^(5/2),x,2,-1/3*sqrt(2*I*d*x^2+d^2*x^4)/b/d/x/(a+I*b*arcsin(1-I*d*x^2))^(3/2)-1/3*x/b^2/sqrt(a+I*b*arcsin(1-I*d*x^2))-1/3*sqrt(Pi)*x*FresnelS(sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(I*b)/sqrt(Pi))*(cosh(1/2*a/b)-I*sinh(1/2*a/b))/sqrt(I*b)/b^2/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2)))-1/3*sqrt(Pi)*x*FresnelC(sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(I*b)/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/sqrt(I*b)/b^2/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2))),1],
[1/(a+I*b*arcsin(1-I*d*x^2))^(7/2),x,2,-1/5*sqrt(2*I*d*x^2+d^2*x^4)/b/d/x/(a+I*b*arcsin(1-I*d*x^2))^(5/2)-1/15*x/b^2/(a+I*b*arcsin(1-I*d*x^2))^(3/2)-1/15*sqrt(2*I*d*x^2+d^2*x^4)/b^3/d/x/sqrt(a+I*b*arcsin(1-I*d*x^2))-1/15*(-I/b)^(3/2)*sqrt(Pi)*x*FresnelC(sqrt(-I/b)*sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)-I*sinh(1/2*a/b))/b^2/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2)))+1/15*(-I/b)^(3/2)*sqrt(Pi)*x*FresnelS(sqrt(-I/b)*sqrt(a+I*b*arcsin(1-I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/b^2/(cos(1/2*arcsin(1-I*d*x^2))-sin(1/2*arcsin(1-I*d*x^2))),1],
[(a-I*b*arcsin(1+I*d*x^2))^(5/2),x,2,15*b^2*x*sqrt(a-I*b*arcsin(1+I*d*x^2))-5*b*sqrt(-2*I*d*x^2+d^2*x^4)*(a-I*b*arcsin(1+I*d*x^2))^(3/2)/d/x+x*(a-I*b*arcsin(1+I*d*x^2))^(5/2)+15*b^2*sqrt(Pi)*x*FresnelS(sqrt(I/b)*sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)-I*sinh(1/2*a/b))/sqrt(I/b)/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2)))-15*b^2*sqrt(Pi)*x*FresnelC(sqrt(I/b)*sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/sqrt(I/b)/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2))),1],
[(a-I*b*arcsin(1+I*d*x^2))^(3/2),x,2,-3*b*sqrt(-2*I*d*x^2+d^2*x^4)*sqrt(a-I*b*arcsin(1+I*d*x^2))/d/x+x*(a-I*b*arcsin(1+I*d*x^2))^(3/2)-3*b^2*sqrt(Pi)*x*FresnelS(sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(-I*b)/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/sqrt(-I*b)/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2)))-3*sqrt(-I*b)*b*sqrt(Pi)*x*FresnelC(sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(-I*b)/sqrt(Pi))*(I*cosh(1/2*a/b)+sinh(1/2*a/b))/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2))),1],
[sqrt(a-I*b*arcsin(1+I*d*x^2)),x,1,x*sqrt(a-I*b*arcsin(1+I*d*x^2))+sqrt(Pi)*x*FresnelS(sqrt(I/b)*sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)-I*sinh(1/2*a/b))/sqrt(I/b)/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2)))-sqrt(Pi)*x*FresnelC(sqrt(I/b)*sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/sqrt(I/b)/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2))),1],
[1/sqrt(a-I*b*arcsin(1+I*d*x^2)),x,1,-sqrt(Pi)*x*FresnelC(sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(-I*b)/sqrt(Pi))*(cosh(1/2*a/b)-I*sinh(1/2*a/b))/sqrt(-I*b)/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2)))-sqrt(Pi)*x*FresnelS(sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(-I*b)/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/sqrt(-I*b)/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2))),1],
[1/(a-I*b*arcsin(1+I*d*x^2))^(3/2),x,1,-sqrt(-2*I*d*x^2+d^2*x^4)/b/d/x/sqrt(a-I*b*arcsin(1+I*d*x^2))+(I/b)^(3/2)*sqrt(Pi)*x*FresnelS(sqrt(I/b)*sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)-I*sinh(1/2*a/b))/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2)))-(I/b)^(3/2)*sqrt(Pi)*x*FresnelC(sqrt(I/b)*sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2))),1],
[1/(a-I*b*arcsin(1+I*d*x^2))^(5/2),x,2,-1/3*sqrt(-2*I*d*x^2+d^2*x^4)/b/d/x/(a-I*b*arcsin(1+I*d*x^2))^(3/2)-1/3*x/b^2/sqrt(a-I*b*arcsin(1+I*d*x^2))-1/3*sqrt(Pi)*x*FresnelS(sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(-I*b)/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/sqrt(-I*b)/b^2/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2)))-1/3*sqrt(-I*b)*sqrt(Pi)*x*FresnelC(sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(-I*b)/sqrt(Pi))*(I*cosh(1/2*a/b)+sinh(1/2*a/b))/b^3/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2))),1],
[1/(a-I*b*arcsin(1+I*d*x^2))^(7/2),x,2,-1/5*sqrt(-2*I*d*x^2+d^2*x^4)/b/d/x/(a-I*b*arcsin(1+I*d*x^2))^(5/2)-1/15*x/b^2/(a-I*b*arcsin(1+I*d*x^2))^(3/2)-1/15*sqrt(-2*I*d*x^2+d^2*x^4)/b^3/d/x/sqrt(a-I*b*arcsin(1+I*d*x^2))-1/15*(I/b)^(3/2)*sqrt(Pi)*x*FresnelC(sqrt(I/b)*sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(Pi))*(cosh(1/2*a/b)+I*sinh(1/2*a/b))/b^2/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2)))+1/15*sqrt(I/b)*sqrt(Pi)*x*FresnelS(sqrt(I/b)*sqrt(a-I*b*arcsin(1+I*d*x^2))/sqrt(Pi))*(I*cosh(1/2*a/b)+sinh(1/2*a/b))/b^3/(cos(1/2*arcsin(1+I*d*x^2))-sin(1/2*arcsin(1+I*d*x^2))),1],
[(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^n/(-c^2*x^2+1),x,0,Defer(Int)((a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^n/(-c^2*x^2+1),x),0],
[(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^3/(-c^2*x^2+1),x,6,1/4*(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^4/b/c-(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^3*ln(1-exp(2*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))))/c-3/2*b*(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^2*polylog(2,exp(2*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))))/c+3/2*b^2*(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))*polylog(3,exp(2*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))))/c-3/4*b^3*polylog(4,exp(2*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))))/c,1],
[(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^2/(-c^2*x^2+1),x,5,1/3*(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^3/b/c-(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^2*ln(1-exp(2*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))))/c-b*(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))*polylog(2,exp(2*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))))/c+1/2*b^2*polylog(3,exp(2*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))))/c,1],
[(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))/(-c^2*x^2+1),x,4,1/2*(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^2/b/c-(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))*ln(1-exp(2*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))))/c-1/2*b*polylog(2,exp(2*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))))/c,1],
[1/(-c^2*x^2+1)/(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))),x,0,Defer(Int)(1/(-c^2*x^2+1)/(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1))),x),0],
[1/(-c^2*x^2+1)/(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^2,x,0,Defer(Int)(1/(-c^2*x^2+1)/(a+b*arcsinh(sqrt(-c*x+1)/sqrt(c*x+1)))^2,x),0],
[arcsinh(c*exp(b*x+a)),x,4,-1/2*arcsinh(c*exp(b*x+a))^2/b+arcsinh(c*exp(b*x+a))*ln(1-exp(2*arcsinh(c*exp(1)^(b*x+a))))/b+1/2*polylog(2,exp(2*arcsinh(c*exp(1)^(b*x+a))))/b,1],
[x/sqrt(x^2+1)/arcsinh(x),x,2,Shi(arcsinh(x)),1],
[x^3*arcsinh(b*x^4+a),x,4,-1/4*sqrt(1+(b*x^4+a)^2)/b+1/4*(b*x^4+a)*arcsinh(b*x^4+a)/b,1],
[x^(-1+n)*arcsinh(a+b*x^n),x,4,-sqrt(1+(a+b*x^n)^2)/b/n+(a+b*x^n)*arcsinh(a+b*x^n)/b/n,1],
[arcsinh(c/(b*x+a)),x,6,(b*x+a)*arccsch(a/c+b*x/c)/b+c*arctanh(sqrt(1+1/(a/c+b*x/c)^2))/b,1],
[x/arcsinh(sinh(x)),x,-1,arcsinh(sinh(x))+ln(arcsinh(sinh(x)))*(-arcsinh(sinh(x))+x*sqrt(cosh(x)^2)*sech(x)),1],
[arcsinh(sqrt(b*x^2-1))^n/sqrt(b*x^2-1),x,2,sqrt(b*x^2)*arcsinh(sqrt(b*x^2-1))^(1+n)/b/(1+n)/x,1],
[1/sqrt(b*x^2-1)/arcsinh(sqrt(b*x^2-1)),x,2,sqrt(b*x^2)*ln(arcsinh(sqrt(b*x^2-1)))/b/x,1]]: