lst:=[[sinh(d*x+c)^4*(a+b*tanh(d*x+c)^2),x,6,3/8*(a+5*b)*x-1/8*(5*a+9*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*(a+b)*cosh(d*x+c)^3*sinh(d*x+c)/d-b*tanh(d*x+c)/d,1],
[sinh(d*x+c)^3*(a+b*tanh(d*x+c)^2),x,3,-(a+2*b)*cosh(d*x+c)/d+1/3*(a+b)*cosh(d*x+c)^3/d-b*sech(d*x+c)/d,1],
[sinh(d*x+c)^2*(a+b*tanh(d*x+c)^2),x,5,-1/2*(a+3*b)*x+1/2*(a+b)*cosh(d*x+c)*sinh(d*x+c)/d+b*tanh(d*x+c)/d,1],
[sinh(d*x+c)*(a+b*tanh(d*x+c)^2),x,3,(a+b)*cosh(d*x+c)/d+b*sech(d*x+c)/d,1],
[csch(d*x+c)*(a+b*tanh(d*x+c)^2),x,3,-a*arctanh(cosh(d*x+c))/d-b*sech(d*x+c)/d,1],
[csch(d*x+c)^2*(a+b*tanh(d*x+c)^2),x,3,-a*coth(d*x+c)/d+b*tanh(d*x+c)/d,1],
[csch(d*x+c)^3*(a+b*tanh(d*x+c)^2),x,5,1/2*(a-2*b)*arctanh(cosh(d*x+c))/d-1/2*a*coth(d*x+c)*csch(d*x+c)/d+b*sech(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*tanh(d*x+c)^2),x,3,(a-b)*coth(d*x+c)/d-1/3*a*coth(d*x+c)^3/d-b*tanh(d*x+c)/d,1],
[sinh(d*x+c)^4*(a+b*tanh(d*x+c)^2)^2,x,6,1/8*(3*a^2+30*a*b+35*b^2)*x-1/8*(a+b)*(5*a+13*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*(a+b)^2*cosh(d*x+c)^3*sinh(d*x+c)/d-b*(2*a+3*b)*tanh(d*x+c)/d-1/3*b^2*tanh(d*x+c)^3/d,1],
[sinh(d*x+c)^3*(a+b*tanh(d*x+c)^2)^2,x,3,-(a+b)*(a+3*b)*cosh(d*x+c)/d+1/3*(a+b)^2*cosh(d*x+c)^3/d-b*(2*a+3*b)*sech(d*x+c)/d+1/3*b^2*sech(d*x+c)^3/d,1],
[sinh(d*x+c)^2*(a+b*tanh(d*x+c)^2)^2,x,5,-1/2*(a+b)*(a+5*b)*x+1/2*(a+b)^2*cosh(d*x+c)*sinh(d*x+c)/d+2*b*(a+b)*tanh(d*x+c)/d+1/3*b^2*tanh(d*x+c)^3/d,1],
[sinh(d*x+c)*(a+b*tanh(d*x+c)^2)^2,x,3,(a+b)^2*cosh(d*x+c)/d+2*b*(a+b)*sech(d*x+c)/d-1/3*b^2*sech(d*x+c)^3/d,1],
[csch(d*x+c)*(a+b*tanh(d*x+c)^2)^2,x,4,-a^2*arctanh(cosh(d*x+c))/d-b*(2*a+b)*sech(d*x+c)/d+1/3*b^2*sech(d*x+c)^3/d,1],
[csch(d*x+c)^2*(a+b*tanh(d*x+c)^2)^2,x,3,-a^2*coth(d*x+c)/d+2*a*b*tanh(d*x+c)/d+1/3*b^2*tanh(d*x+c)^3/d,1],
[csch(d*x+c)^3*(a+b*tanh(d*x+c)^2)^2,x,5,1/2*a*(a-4*b)*arctanh(cosh(d*x+c))/d-1/2*a^2*coth(d*x+c)*csch(d*x+c)/d+2*a*b*sech(d*x+c)/d-1/3*b^2*sech(d*x+c)^3/d,1],
[csch(d*x+c)^4*(a+b*tanh(d*x+c)^2)^2,x,3,a*(a-2*b)*coth(d*x+c)/d-1/3*a^2*coth(d*x+c)^3/d-(2*a-b)*b*tanh(d*x+c)/d-1/3*b^2*tanh(d*x+c)^3/d,1],
[sinh(d*x+c)^4*(a+b*tanh(d*x+c)^2)^3,x,6,3/8*(a+b)*(a^2+14*a*b+21*b^2)*x-1/8*(a+b)^2*(5*a+17*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*(a+b)^3*cosh(d*x+c)^3*sinh(d*x+c)/d-3*b*(a+b)*(a+2*b)*tanh(d*x+c)/d-b^2*(a+b)*tanh(d*x+c)^3/d-1/5*b^3*tanh(d*x+c)^5/d,1],
[sinh(d*x+c)^3*(a+b*tanh(d*x+c)^2)^3,x,3,-(a+b)^2*(a+4*b)*cosh(d*x+c)/d+1/3*(a+b)^3*cosh(d*x+c)^3/d-3*b*(a+b)*(a+2*b)*sech(d*x+c)/d+1/3*b^2*(3*a+4*b)*sech(d*x+c)^3/d-1/5*b^3*sech(d*x+c)^5/d,1],
[sinh(d*x+c)^2*(a+b*tanh(d*x+c)^2)^3,x,5,-1/2*(a+b)^2*(a+7*b)*x+1/2*(a+b)^3*cosh(d*x+c)*sinh(d*x+c)/d+3*b*(a+b)^2*tanh(d*x+c)/d+1/3*b^2*(3*a+2*b)*tanh(d*x+c)^3/d+1/5*b^3*tanh(d*x+c)^5/d,1],
[sinh(d*x+c)*(a+b*tanh(d*x+c)^2)^3,x,3,(a+b)^3*cosh(d*x+c)/d+3*b*(a+b)^2*sech(d*x+c)/d-b^2*(a+b)*sech(d*x+c)^3/d+1/5*b^3*sech(d*x+c)^5/d,1],
[csch(d*x+c)*(a+b*tanh(d*x+c)^2)^3,x,4,-a^3*arctanh(cosh(d*x+c))/d-b*(3*a^2+3*a*b+b^2)*sech(d*x+c)/d+1/3*b^2*(3*a+2*b)*sech(d*x+c)^3/d-1/5*b^3*sech(d*x+c)^5/d,1],
[csch(d*x+c)^2*(a+b*tanh(d*x+c)^2)^3,x,3,-a^3*coth(d*x+c)/d+3*a^2*b*tanh(d*x+c)/d+a*b^2*tanh(d*x+c)^3/d+1/5*b^3*tanh(d*x+c)^5/d,1],
[csch(d*x+c)^3*(a+b*tanh(d*x+c)^2)^3,x,5,1/2*a^2*(a-6*b)*arctanh(cosh(d*x+c))/d-1/2*a^3*coth(d*x+c)*csch(d*x+c)/d+3*a^2*b*sech(d*x+c)/d-1/3*b^2*(3*a+b)*sech(d*x+c)^3/d+1/5*b^3*sech(d*x+c)^5/d,1],
[csch(d*x+c)^4*(a+b*tanh(d*x+c)^2)^3,x,3,a^2*(a-3*b)*coth(d*x+c)/d-1/3*a^3*coth(d*x+c)^3/d-3*a*(a-b)*b*tanh(d*x+c)/d-1/3*(3*a-b)*b^2*tanh(d*x+c)^3/d-1/5*b^3*tanh(d*x+c)^5/d,1],
[sinh(d*x+c)^4/(a+b*tanh(d*x+c)^2),x,6,1/8*(3*a^2-6*a*b-b^2)*x/(a+b)^3+a^(3/2)*sqrt(b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/(a+b)^3/d-1/8*(5*a+b)*cosh(d*x+c)*sinh(d*x+c)/(a+b)^2/d+1/4*cosh(d*x+c)^3*sinh(d*x+c)/(a+b)/d,1],
[sinh(d*x+c)^3/(a+b*tanh(d*x+c)^2),x,4,a*sqrt(b)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/(a+b)^(5/2)/d-a*cosh(d*x+c)/(a+b)^2/d+1/3*cosh(d*x+c)^3/(a+b)/d,1],
[sinh(d*x+c)^2/(a+b*tanh(d*x+c)^2),x,5,-1/2*(a-b)*x/(a+b)^2-sqrt(a)*sqrt(b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/(a+b)^2/d+1/2*cosh(d*x+c)*sinh(d*x+c)/(a+b)/d,1],
[sinh(d*x+c)/(a+b*tanh(d*x+c)^2),x,3,-sqrt(b)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/(a+b)^(3/2)/d+cosh(d*x+c)/(a+b)/d,1],
[csch(d*x+c)/(a+b*tanh(d*x+c)^2),x,4,-arctanh(cosh(d*x+c))/a/d+sqrt(b)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/a/sqrt(a+b)/d,1],
[csch(d*x+c)^2/(a+b*tanh(d*x+c)^2),x,3,-sqrt(b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/d-coth(d*x+c)/a/d,1],
[csch(d*x+c)^3/(a+b*tanh(d*x+c)^2),x,5,1/2*(a+2*b)*arctanh(cosh(d*x+c))/a^2/d-sqrt(b)*sqrt(a+b)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/a^2/d-1/2*coth(d*x+c)*csch(d*x+c)/a/d,1],
[csch(d*x+c)^4/(a+b*tanh(d*x+c)^2),x,4,sqrt(b)*(a+b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/d+(a+b)*coth(d*x+c)/a^2/d-1/3*coth(d*x+c)^3/a/d,1],
[sinh(d*x+c)^4/(a+b*tanh(d*x+c)^2)^2,x,7,3/8*(a^2-6*a*b+b^2)*x/(a+b)^4+3/2*sqrt(a)*(a-b)*sqrt(b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/(a+b)^4/d-1/8*(5*a-b)*cosh(d*x+c)*sinh(d*x+c)/(a+b)^2/d/(a+b*tanh(d*x+c)^2)+1/4*cosh(d*x+c)^3*sinh(d*x+c)/(a+b)/d/(a+b*tanh(d*x+c)^2)+3/8*(3*a-b)*b*tanh(d*x+c)/(a+b)^3/d/(a+b*tanh(d*x+c)^2),1],
[sinh(d*x+c)^3/(a+b*tanh(d*x+c)^2)^2,x,5,1/2*(3*a-2*b)*sqrt(b)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/(a+b)^(7/2)/d-(a-b)*cosh(d*x+c)/(a+b)^3/d+1/3*cosh(d*x+c)^3/(a+b)^2/d+1/2*a*b*sech(d*x+c)/(a+b)^3/d/(a+b-b*sech(d*x+c)^2),1],
[sinh(d*x+c)^2/(a+b*tanh(d*x+c)^2)^2,x,6,-1/2*(a-3*b)*x/(a+b)^3-1/2*(3*a-b)*sqrt(b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/(a+b)^3/d+1/2*cosh(d*x+c)*sinh(d*x+c)/(a+b)/d/(a+b*tanh(d*x+c)^2)-b*tanh(d*x+c)/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[sinh(d*x+c)/(a+b*tanh(d*x+c)^2)^2,x,4,-3/2*sqrt(b)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/(a+b)^(5/2)/d+cosh(d*x+c)/(a+b)^2/d-1/2*b*sech(d*x+c)/(a+b)^2/d/(a+b-b*sech(d*x+c)^2),1],
[csch(d*x+c)/(a+b*tanh(d*x+c)^2)^2,x,5,-arctanh(cosh(d*x+c))/a^2/d+1/2*sqrt(b)*(3*a+2*b)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/a^2/(a+b)^(3/2)/d+1/2*b*sech(d*x+c)/a/(a+b)/d/(a+b-b*sech(d*x+c)^2),1],
[csch(d*x+c)^2/(a+b*tanh(d*x+c)^2)^2,x,4,-3/2*sqrt(b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/d-coth(d*x+c)/a^2/d-1/2*b*tanh(d*x+c)/a^2/d/(a+b*tanh(d*x+c)^2),1],
[csch(d*x+c)^3/(a+b*tanh(d*x+c)^2)^2,x,6,1/2*(a+4*b)*arctanh(cosh(d*x+c))/a^3/d-1/2*sqrt(b)*(3*a+4*b)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/a^3/sqrt(a+b)/d-1/2*coth(d*x+c)*csch(d*x+c)/a/d/(a+b-b*sech(d*x+c)^2)-b*sech(d*x+c)/a^2/d/(a+b-b*sech(d*x+c)^2),1],
[csch(d*x+c)^4/(a+b*tanh(d*x+c)^2)^2,x,5,1/2*sqrt(b)*(3*a+5*b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(7/2)/d+(a+2*b)*coth(d*x+c)/a^3/d-1/3*coth(d*x+c)^3/a^2/d+1/2*b*(a+b)*tanh(d*x+c)/a^3/d/(a+b*tanh(d*x+c)^2),1],
[sinh(d*x+c)^4/(a+b*tanh(d*x+c)^2)^3,x,8,3/8*(a^2-10*a*b+5*b^2)*x/(a+b)^5+3/8*sqrt(b)*(5*a^2-10*a*b+b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/(a+b)^5/d-1/8*(5*a-3*b)*cosh(d*x+c)*sinh(d*x+c)/(a+b)^2/d/(a+b*tanh(d*x+c)^2)^2+1/4*cosh(d*x+c)^3*sinh(d*x+c)/(a+b)/d/(a+b*tanh(d*x+c)^2)^2+1/8*(7*a-5*b)*b*tanh(d*x+c)/(a+b)^3/d/(a+b*tanh(d*x+c)^2)^2+3/2*(a-b)*b*tanh(d*x+c)/(a+b)^4/d/(a+b*tanh(d*x+c)^2),1],
[sinh(d*x+c)^3/(a+b*tanh(d*x+c)^2)^3,x,6,5/8*(3*a-4*b)*sqrt(b)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/(a+b)^(9/2)/d-(a-2*b)*cosh(d*x+c)/(a+b)^4/d+1/3*cosh(d*x+c)^3/(a+b)^3/d+1/4*a*b*sech(d*x+c)/(a+b)^3/d/(a+b-b*sech(d*x+c)^2)^2+1/8*(7*a-4*b)*b*sech(d*x+c)/(a+b)^4/d/(a+b-b*sech(d*x+c)^2),1],
[sinh(d*x+c)^2/(a+b*tanh(d*x+c)^2)^3,x,7,-1/2*(a-5*b)*x/(a+b)^4-1/8*sqrt(b)*(15*a^2-10*a*b-b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/(a+b)^4/d+1/2*cosh(d*x+c)*sinh(d*x+c)/(a+b)/d/(a+b*tanh(d*x+c)^2)^2-3/4*b*tanh(d*x+c)/(a+b)^2/d/(a+b*tanh(d*x+c)^2)^2-1/8*(11*a-b)*b*tanh(d*x+c)/a/(a+b)^3/d/(a+b*tanh(d*x+c)^2),1],
[sinh(d*x+c)/(a+b*tanh(d*x+c)^2)^3,x,5,-15/8*sqrt(b)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/(a+b)^(7/2)/d+cosh(d*x+c)/(a+b)^3/d-1/4*b*sech(d*x+c)/(a+b)^2/d/(a+b-b*sech(d*x+c)^2)^2-7/8*b*sech(d*x+c)/(a+b)^3/d/(a+b-b*sech(d*x+c)^2),1],
[csch(d*x+c)/(a+b*tanh(d*x+c)^2)^3,x,6,-arctanh(cosh(d*x+c))/a^3/d+1/8*sqrt(b)*(15*a^2+20*a*b+8*b^2)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/a^3/(a+b)^(5/2)/d+1/4*b*sech(d*x+c)/a/(a+b)/d/(a+b-b*sech(d*x+c)^2)^2+1/8*b*(7*a+4*b)*sech(d*x+c)/a^2/(a+b)^2/d/(a+b-b*sech(d*x+c)^2),1],
[csch(d*x+c)^2/(a+b*tanh(d*x+c)^2)^3,x,5,-15/8*sqrt(b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(7/2)/d-coth(d*x+c)/a^3/d-1/4*b*tanh(d*x+c)/a^2/d/(a+b*tanh(d*x+c)^2)^2-7/8*b*tanh(d*x+c)/a^3/d/(a+b*tanh(d*x+c)^2),1],
[csch(d*x+c)^3/(a+b*tanh(d*x+c)^2)^3,x,7,1/2*(a+6*b)*arctanh(cosh(d*x+c))/a^4/d-1/8*sqrt(b)*(15*a^2+40*a*b+24*b^2)*arctanh(sqrt(b)*sech(d*x+c)/sqrt(a+b))/a^4/(a+b)^(3/2)/d-1/2*coth(d*x+c)*csch(d*x+c)/a/d/(a+b-b*sech(d*x+c)^2)^2-3/4*b*sech(d*x+c)/a^2/d/(a+b-b*sech(d*x+c)^2)^2-1/8*b*(11*a+12*b)*sech(d*x+c)/a^3/(a+b)/d/(a+b-b*sech(d*x+c)^2),1],
[csch(d*x+c)^4/(a+b*tanh(d*x+c)^2)^3,x,6,5/8*sqrt(b)*(3*a+7*b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(9/2)/d+(a+3*b)*coth(d*x+c)/a^4/d-1/3*coth(d*x+c)^3/a^3/d+1/4*b*(a+b)*tanh(d*x+c)/a^3/d/(a+b*tanh(d*x+c)^2)^2+1/8*b*(7*a+11*b)*tanh(d*x+c)/a^4/d/(a+b*tanh(d*x+c)^2),1],
[sinh(d*x+c)^4*(a+b*tanh(d*x+c)^3),x,11,3/8*a*x-3/2*b*cosh(d*x+c)^2/d+1/4*b*cosh(d*x+c)^4/d+3*b*ln(cosh(d*x+c))/d-3/8*a*cosh(d*x+c)*sinh(d*x+c)/d+1/4*a*cosh(d*x+c)*sinh(d*x+c)^3/d-1/2*b*tanh(d*x+c)^2/d,1],
[sinh(d*x+c)^3*(a+b*tanh(d*x+c)^3),x,9,5/2*b*arctan(sinh(d*x+c))/d-a*cosh(d*x+c)/d+1/3*a*cosh(d*x+c)^3/d-2*b*sinh(d*x+c)/d+1/3*b*sinh(d*x+c)^3/d-1/2*b*sech(d*x+c)*tanh(d*x+c)/d,1],
[sinh(d*x+c)^2*(a+b*tanh(d*x+c)^3),x,7,-1/2*a*x+1/2*b*cosh(d*x+c)^2/d-2*b*ln(cosh(d*x+c))/d+1/2*a*cosh(d*x+c)*sinh(d*x+c)/d+1/2*b*tanh(d*x+c)^2/d,1],
[sinh(d*x+c)*(a+b*tanh(d*x+c)^3),x,8,-3/2*b*arctan(sinh(d*x+c))/d+a*cosh(d*x+c)/d+b*sinh(d*x+c)/d+1/2*b*sech(d*x+c)*tanh(d*x+c)/d,1],
[csch(d*x+c)*(a+b*tanh(d*x+c)^3),x,5,1/2*b*arctan(sinh(d*x+c))/d-a*arctanh(cosh(d*x+c))/d-1/2*b*sech(d*x+c)*tanh(d*x+c)/d,1],
[csch(d*x+c)^2*(a+b*tanh(d*x+c)^3),x,3,-a*coth(d*x+c)/d+1/2*b*tanh(d*x+c)^2/d,1],
[csch(d*x+c)^3*(a+b*tanh(d*x+c)^3),x,6,1/2*b*arctan(sinh(d*x+c))/d+1/2*a*arctanh(cosh(d*x+c))/d-1/2*a*coth(d*x+c)*csch(d*x+c)/d+1/2*b*sech(d*x+c)*tanh(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*tanh(d*x+c)^3),x,3,a*coth(d*x+c)/d-1/3*a*coth(d*x+c)^3/d+b*ln(tanh(d*x+c))/d-1/2*b*tanh(d*x+c)^2/d,1],
[sinh(d*x+c)^4*(a+b*tanh(d*x+c)^3)^2,x,8,3/8*(a^2+21*b^2)*x-3*a*b*cosh(d*x+c)^2/d+1/2*a*b*cosh(d*x+c)^4/d+6*a*b*ln(cosh(d*x+c))/d-1/8*(5*a^2+17*b^2)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*(a^2+b^2)*cosh(d*x+c)^3*sinh(d*x+c)/d-6*b^2*tanh(d*x+c)/d-a*b*tanh(d*x+c)^2/d-b^2*tanh(d*x+c)^3/d-1/5*b^2*tanh(d*x+c)^5/d,1],
[sinh(d*x+c)^3*(a+b*tanh(d*x+c)^3)^2,x,12,5*a*b*arctan(sinh(d*x+c))/d-a^2*cosh(d*x+c)/d-4*b^2*cosh(d*x+c)/d+1/3*a^2*cosh(d*x+c)^3/d+1/3*b^2*cosh(d*x+c)^3/d-6*b^2*sech(d*x+c)/d+4/3*b^2*sech(d*x+c)^3/d-1/5*b^2*sech(d*x+c)^5/d-4*a*b*sinh(d*x+c)/d+2/3*a*b*sinh(d*x+c)^3/d-a*b*sech(d*x+c)*tanh(d*x+c)/d,1],
[sinh(d*x+c)^2*(a+b*tanh(d*x+c)^3)^2,x,7,-1/2*(a^2+7*b^2)*x+a*b*cosh(d*x+c)^2/d-4*a*b*ln(cosh(d*x+c))/d+1/2*(a^2+b^2)*cosh(d*x+c)*sinh(d*x+c)/d+3*b^2*tanh(d*x+c)/d+a*b*tanh(d*x+c)^2/d+2/3*b^2*tanh(d*x+c)^3/d+1/5*b^2*tanh(d*x+c)^5/d,1],
[sinh(d*x+c)*(a+b*tanh(d*x+c)^3)^2,x,11,-3*a*b*arctan(sinh(d*x+c))/d+a^2*cosh(d*x+c)/d+b^2*cosh(d*x+c)/d+3*b^2*sech(d*x+c)/d-b^2*sech(d*x+c)^3/d+1/5*b^2*sech(d*x+c)^5/d+2*a*b*sinh(d*x+c)/d+a*b*sech(d*x+c)*tanh(d*x+c)/d,1],
[csch(d*x+c)*(a+b*tanh(d*x+c)^3)^2,x,8,a*b*arctan(sinh(d*x+c))/d-a^2*arctanh(cosh(d*x+c))/d-b^2*sech(d*x+c)/d+2/3*b^2*sech(d*x+c)^3/d-1/5*b^2*sech(d*x+c)^5/d-a*b*sech(d*x+c)*tanh(d*x+c)/d,1],
[csch(d*x+c)^2*(a+b*tanh(d*x+c)^3)^2,x,3,-a^2*coth(d*x+c)/d+a*b*tanh(d*x+c)^2/d+1/5*b^2*tanh(d*x+c)^5/d,1],
[csch(d*x+c)^3*(a+b*tanh(d*x+c)^3)^2,x,9,a*b*arctan(sinh(d*x+c))/d+1/2*a^2*arctanh(cosh(d*x+c))/d-1/2*a^2*coth(d*x+c)*csch(d*x+c)/d-1/3*b^2*sech(d*x+c)^3/d+1/5*b^2*sech(d*x+c)^5/d+a*b*sech(d*x+c)*tanh(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*tanh(d*x+c)^3)^2,x,3,a^2*coth(d*x+c)/d-1/3*a^2*coth(d*x+c)^3/d+2*a*b*ln(tanh(d*x+c))/d-a*b*tanh(d*x+c)^2/d+1/3*b^2*tanh(d*x+c)^3/d-1/5*b^2*tanh(d*x+c)^5/d,1],
[sinh(d*x+c)^4*(a+b*tanh(d*x+c)^3)^3,x,8,3/8*a*(a^2+63*b^2)*x-3/2*b*(3*a^2+2*b^2)*cosh(d*x+c)^2/d+1/4*b*(3*a^2+b^2)*cosh(d*x+c)^4/d+3*b*(3*a^2+5*b^2)*ln(cosh(d*x+c))/d-1/8*a*(5*a^2+51*b^2)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*a*(a^2+3*b^2)*cosh(d*x+c)^3*sinh(d*x+c)/d-18*a*b^2*tanh(d*x+c)/d-1/2*b*(3*a^2+10*b^2)*tanh(d*x+c)^2/d-3*a*b^2*tanh(d*x+c)^3/d-3/2*b^3*tanh(d*x+c)^4/d-3/5*a*b^2*tanh(d*x+c)^5/d-1/2*b^3*tanh(d*x+c)^6/d-1/8*b^3*tanh(d*x+c)^8/d,1],
[sinh(d*x+c)^3*(a+b*tanh(d*x+c)^3)^3,x,20,15/2*a^2*b*arctan(sinh(d*x+c))/d+1155/128*b^3*arctan(sinh(d*x+c))/d-a^3*cosh(d*x+c)/d-12*a*b^2*cosh(d*x+c)/d+1/3*a^3*cosh(d*x+c)^3/d+a*b^2*cosh(d*x+c)^3/d-18*a*b^2*sech(d*x+c)/d+4*a*b^2*sech(d*x+c)^3/d-3/5*a*b^2*sech(d*x+c)^5/d-6*a^2*b*sinh(d*x+c)/d-5*b^3*sinh(d*x+c)/d+a^2*b*sinh(d*x+c)^3/d+1/3*b^3*sinh(d*x+c)^3/d-3/2*a^2*b*sech(d*x+c)*tanh(d*x+c)/d-765/128*b^3*sech(d*x+c)*tanh(d*x+c)/d+515/192*b^3*sech(d*x+c)^3*tanh(d*x+c)/d-41/48*b^3*sech(d*x+c)^5*tanh(d*x+c)/d+1/8*b^3*sech(d*x+c)^7*tanh(d*x+c)/d,1],
[sinh(d*x+c)^2*(a+b*tanh(d*x+c)^3)^3,x,7,-1/2*a*(a^2+21*b^2)*x+1/2*b*(3*a^2+b^2)*cosh(d*x+c)^2/d-b*(6*a^2+5*b^2)*ln(cosh(d*x+c))/d+1/2*a*(a^2+3*b^2)*cosh(d*x+c)*sinh(d*x+c)/d+9*a*b^2*tanh(d*x+c)/d+1/2*b*(3*a^2+4*b^2)*tanh(d*x+c)^2/d+2*a*b^2*tanh(d*x+c)^3/d+3/4*b^3*tanh(d*x+c)^4/d+3/5*a*b^2*tanh(d*x+c)^5/d+1/3*b^3*tanh(d*x+c)^6/d+1/8*b^3*tanh(d*x+c)^8/d,1],
[sinh(d*x+c)*(a+b*tanh(d*x+c)^3)^3,x,19,-9/2*a^2*b*arctan(sinh(d*x+c))/d-315/128*b^3*arctan(sinh(d*x+c))/d+a^3*cosh(d*x+c)/d+3*a*b^2*cosh(d*x+c)/d+9*a*b^2*sech(d*x+c)/d-3*a*b^2*sech(d*x+c)^3/d+3/5*a*b^2*sech(d*x+c)^5/d+3*a^2*b*sinh(d*x+c)/d+b^3*sinh(d*x+c)/d+3/2*a^2*b*sech(d*x+c)*tanh(d*x+c)/d+325/128*b^3*sech(d*x+c)*tanh(d*x+c)/d-105/64*b^3*sech(d*x+c)^3*tanh(d*x+c)/d+11/16*b^3*sech(d*x+c)^5*tanh(d*x+c)/d-1/8*b^3*sech(d*x+c)^7*tanh(d*x+c)/d,1],
[csch(d*x+c)*(a+b*tanh(d*x+c)^3)^3,x,13,3/2*a^2*b*arctan(sinh(d*x+c))/d+35/128*b^3*arctan(sinh(d*x+c))/d-a^3*arctanh(cosh(d*x+c))/d-3*a*b^2*sech(d*x+c)/d+2*a*b^2*sech(d*x+c)^3/d-3/5*a*b^2*sech(d*x+c)^5/d-3/2*a^2*b*sech(d*x+c)*tanh(d*x+c)/d-35/128*b^3*sech(d*x+c)*tanh(d*x+c)/d-35/192*b^3*sech(d*x+c)*tanh(d*x+c)^3/d-7/48*b^3*sech(d*x+c)*tanh(d*x+c)^5/d-1/8*b^3*sech(d*x+c)*tanh(d*x+c)^7/d,1],
[csch(d*x+c)^2*(a+b*tanh(d*x+c)^3)^3,x,3,-a^3*coth(d*x+c)/d+3/2*a^2*b*tanh(d*x+c)^2/d+3/5*a*b^2*tanh(d*x+c)^5/d+1/8*b^3*tanh(d*x+c)^8/d,1],
[csch(d*x+c)^3*(a+b*tanh(d*x+c)^3)^3,x,14,3/2*a^2*b*arctan(sinh(d*x+c))/d+5/128*b^3*arctan(sinh(d*x+c))/d+1/2*a^3*arctanh(cosh(d*x+c))/d-1/2*a^3*coth(d*x+c)*csch(d*x+c)/d-a*b^2*sech(d*x+c)^3/d+3/5*a*b^2*sech(d*x+c)^5/d+3/2*a^2*b*sech(d*x+c)*tanh(d*x+c)/d+5/128*b^3*sech(d*x+c)*tanh(d*x+c)/d-5/64*b^3*sech(d*x+c)^3*tanh(d*x+c)/d-5/48*b^3*sech(d*x+c)^3*tanh(d*x+c)^3/d-1/8*b^3*sech(d*x+c)^3*tanh(d*x+c)^5/d,1],
[csch(d*x+c)^4*(a+b*tanh(d*x+c)^3)^3,x,3,a^3*coth(d*x+c)/d-1/3*a^3*coth(d*x+c)^3/d+3*a^2*b*ln(tanh(d*x+c))/d-3/2*a^2*b*tanh(d*x+c)^2/d+a*b^2*tanh(d*x+c)^3/d-3/5*a*b^2*tanh(d*x+c)^5/d+1/6*b^3*tanh(d*x+c)^6/d-1/8*b^3*tanh(d*x+c)^8/d,1],
[sinh(d*x+c)^4/(a+b*tanh(d*x+c)^3),x,11,-a^(2/3)*b^(1/3)*(a^2+3*a^(4/3)*b^(2/3)-b^2)*arctan((a^(1/3)-2*b^(1/3)*tanh(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/(a^(4/3)+a^(2/3)*b^(2/3)+b^(4/3))^3/d-3/16*a*(a-5*b)*ln(1-tanh(d*x+c))/(a+b)^3/d+3/16*a*(a+5*b)*ln(1+tanh(d*x+c))/(a-b)^3/d-1/3*a^(2/3)*b^(1/3)*(a^4+7*a^2*b^2+b^4+3*a^(2/3)*b^(4/3)*(2*a^2+b^2))*ln(a^(1/3)+b^(1/3)*tanh(d*x+c))/(a^2-b^2)^3/d+1/6*a^(2/3)*b^(1/3)*(a^4+7*a^2*b^2+b^4+3*a^(2/3)*b^(4/3)*(2*a^2+b^2))*ln(a^(2/3)-a^(1/3)*b^(1/3)*tanh(d*x+c)+b^(2/3)*tanh(d*x+c)^2)/(a^2-b^2)^3/d-a^2*b*(a^2+2*b^2)*ln(a+b*tanh(d*x+c)^3)/(a^2-b^2)^3/d+1/16/(a+b)/d/(1-tanh(d*x+c))^2-1/16*(5*a-b)/(a+b)^2/d/(1-tanh(d*x+c))-1/16/(a-b)/d/(1+tanh(d*x+c))^2+1/16*(5*a+b)/(a-b)^2/d/(1+tanh(d*x+c)),1],
[sinh(d*x+c)^3/(a+b*tanh(d*x+c)^3),x,0,I*Defer(Int)(-I*sinh(d*x+c)^3/(a+b*tanh(d*x+c)^3),x),0],
[sinh(d*x+c)^2/(a+b*tanh(d*x+c)^3),x,11,a^(2/3)*b^(1/3)*(a^2-3*a^(2/3)*b^(4/3)+2*b^2)*arctan((a^(1/3)-2*b^(1/3)*tanh(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/(a^2-b^2)^2/d+1/4*(a-2*b)*ln(1-tanh(d*x+c))/(a+b)^2/d-1/4*(a+2*b)*ln(1+tanh(d*x+c))/(a-b)^2/d+1/3*a^(2/3)*b^(1/3)*(a^2+3*a^(2/3)*b^(4/3)+2*b^2)*ln(a^(1/3)+b^(1/3)*tanh(d*x+c))/(a^2-b^2)^2/d-1/6*a^(2/3)*b^(1/3)*(a^2+3*a^(2/3)*b^(4/3)+2*b^2)*ln(a^(2/3)-a^(1/3)*b^(1/3)*tanh(d*x+c)+b^(2/3)*tanh(d*x+c)^2)/(a^2-b^2)^2/d+1/3*b*(2*a^2+b^2)*ln(a+b*tanh(d*x+c)^3)/(a^2-b^2)^2/d+1/4/(a+b)/d/(1-tanh(d*x+c))-1/4/(a-b)/d/(1+tanh(d*x+c)),1],
[sinh(d*x+c)/(a+b*tanh(d*x+c)^3),x,0,-I*Defer(Int)(I*sinh(d*x+c)/(a+b*tanh(d*x+c)^3),x),0],
[csch(d*x+c)/(a+b*tanh(d*x+c)^3),x,0,I*Defer(Int)(-I*csch(d*x+c)/(a+b*tanh(d*x+c)^3),x),0],
[csch(d*x+c)^2/(a+b*tanh(d*x+c)^3),x,8,b^(1/3)*arctan((a^(1/3)-2*b^(1/3)*tanh(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/d-coth(d*x+c)/a/d+1/3*b^(1/3)*ln(a^(1/3)+b^(1/3)*tanh(d*x+c))/a^(4/3)/d-1/6*b^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*tanh(d*x+c)+b^(2/3)*tanh(d*x+c)^2)/a^(4/3)/d,1],
[csch(d*x+c)^3/(a+b*tanh(d*x+c)^3),x,0,-I*Defer(Int)(I*csch(d*x+c)^3/(a+b*tanh(d*x+c)^3),x),0],
[csch(d*x+c)^4/(a+b*tanh(d*x+c)^3),x,9,-b^(1/3)*arctan((a^(1/3)-2*b^(1/3)*tanh(d*x+c))/sqrt(3)/a^(1/3))/sqrt(3)/a^(4/3)/d+coth(d*x+c)/a/d-1/3*coth(d*x+c)^3/a/d-b*ln(tanh(d*x+c))/a^2/d-1/3*(a^(2/3)-b^(2/3))*b^(1/3)*ln(a^(1/3)+b^(1/3)*tanh(d*x+c))/a^2/d+1/6*(a^(2/3)+2*b^(2/3))*b^(1/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*tanh(d*x+c)+b^(2/3)*tanh(d*x+c)^2)/a^2/d,1],
[cosh(d*x+c)^4*(a+b*tanh(d*x+c)^2),x,4,1/8*(3*a-b)*x+1/8*(3*a-b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*(a+b)*cosh(d*x+c)^3*sinh(d*x+c)/d,1],
[cosh(d*x+c)^3*(a+b*tanh(d*x+c)^2),x,2,a*sinh(d*x+c)/d+1/3*(a+b)*sinh(d*x+c)^3/d,1],
[cosh(d*x+c)^2*(a+b*tanh(d*x+c)^2),x,3,1/2*(a-b)*x+1/2*(a+b)*cosh(d*x+c)*sinh(d*x+c)/d,1],
[cosh(d*x+c)*(a+b*tanh(d*x+c)^2),x,3,-b*arctan(sinh(d*x+c))/d+(a+b)*sinh(d*x+c)/d,1],
[sech(d*x+c)*(a+b*tanh(d*x+c)^2),x,3,1/2*(2*a+b)*arctan(sinh(d*x+c))/d-1/2*b*sech(d*x+c)*tanh(d*x+c)/d,1],
[sech(d*x+c)^2*(a+b*tanh(d*x+c)^2),x,2,a*tanh(d*x+c)/d+1/3*b*tanh(d*x+c)^3/d,1],
[sech(d*x+c)^3*(a+b*tanh(d*x+c)^2),x,4,1/8*(4*a+b)*arctan(sinh(d*x+c))/d+1/8*(4*a+b)*sech(d*x+c)*tanh(d*x+c)/d-1/4*b*sech(d*x+c)^3*tanh(d*x+c)/d,1],
[sech(d*x+c)^4*(a+b*tanh(d*x+c)^2),x,3,a*tanh(d*x+c)/d-1/3*(a-b)*tanh(d*x+c)^3/d-1/5*b*tanh(d*x+c)^5/d,1],
[cosh(d*x+c)^4*(a+b*tanh(d*x+c)^2)^2,x,4,1/8*(3*a^2-2*a*b+3*b^2)*x+1/8*(3*a-5*b)*(a+b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*(a+b)^2*cosh(d*x+c)^3*sinh(d*x+c)/d,1],
[cosh(d*x+c)^3*(a+b*tanh(d*x+c)^2)^2,x,4,b^2*arctan(sinh(d*x+c))/d+(a^2-b^2)*sinh(d*x+c)/d+1/3*(a+b)^2*sinh(d*x+c)^3/d,1],
[cosh(d*x+c)^2*(a+b*tanh(d*x+c)^2)^2,x,4,1/2*(a-3*b)*(a+b)*x+1/2*(a+b)^2*cosh(d*x+c)*sinh(d*x+c)/d+b^2*tanh(d*x+c)/d,1],
[cosh(d*x+c)*(a+b*tanh(d*x+c)^2)^2,x,4,-1/2*b*(4*a+3*b)*arctan(sinh(d*x+c))/d+(a+b)^2*sinh(d*x+c)/d+1/2*b^2*sech(d*x+c)*tanh(d*x+c)/d,1],
[sech(d*x+c)*(a+b*tanh(d*x+c)^2)^2,x,4,1/8*(8*a^2+8*a*b+3*b^2)*arctan(sinh(d*x+c))/d-1/8*b*(8*a+5*b)*sech(d*x+c)*tanh(d*x+c)/d+1/4*b^2*sech(d*x+c)^3*tanh(d*x+c)/d,1],
[sech(d*x+c)^2*(a+b*tanh(d*x+c)^2)^2,x,3,a^2*tanh(d*x+c)/d+2/3*a*b*tanh(d*x+c)^3/d+1/5*b^2*tanh(d*x+c)^5/d,1],
[sech(d*x+c)^3*(a+b*tanh(d*x+c)^2)^2,x,5,1/16*(8*a^2+4*a*b+b^2)*arctan(sinh(d*x+c))/d+1/16*(8*a^2+4*a*b+b^2)*sech(d*x+c)*tanh(d*x+c)/d-1/24*b*(12*a+7*b)*sech(d*x+c)^3*tanh(d*x+c)/d+1/6*b^2*sech(d*x+c)^5*tanh(d*x+c)/d,1],
[sech(d*x+c)^4*(a+b*tanh(d*x+c)^2)^2,x,3,a^2*tanh(d*x+c)/d-1/3*a*(a-2*b)*tanh(d*x+c)^3/d-1/5*(2*a-b)*b*tanh(d*x+c)^5/d-1/7*b^2*tanh(d*x+c)^7/d,1],
[cosh(d*x+c)^4*(a+b*tanh(d*x+c)^2)^3,x,5,3/8*(a+b)*(a^2-2*a*b+5*b^2)*x+3/8*(a-3*b)*(a+b)^2*cosh(d*x+c)*sinh(d*x+c)/d+1/4*(a+b)^3*cosh(d*x+c)^3*sinh(d*x+c)/d-b^3*tanh(d*x+c)/d,1],
[cosh(d*x+c)^3*(a+b*tanh(d*x+c)^2)^3,x,5,1/2*b^2*(6*a+5*b)*arctan(sinh(d*x+c))/d+(a-2*b)*(a+b)^2*sinh(d*x+c)/d+1/3*(a+b)^3*sinh(d*x+c)^3/d-1/2*b^3*sech(d*x+c)*tanh(d*x+c)/d,1],
[cosh(d*x+c)^2*(a+b*tanh(d*x+c)^2)^3,x,5,1/2*(a-5*b)*(a+b)^2*x+1/2*(a+b)^3*cosh(d*x+c)*sinh(d*x+c)/d+b^2*(3*a+2*b)*tanh(d*x+c)/d+1/3*b^3*tanh(d*x+c)^3/d,1],
[cosh(d*x+c)*(a+b*tanh(d*x+c)^2)^3,x,5,-3/8*b*(4*(a+b)^2+(2*a+b)^2)*arctan(sinh(d*x+c))/d+(a+b)^3*sinh(d*x+c)/d+3/8*b^2*(4*a+3*b)*sech(d*x+c)*tanh(d*x+c)/d-1/4*b^3*sech(d*x+c)^3*tanh(d*x+c)/d,1],
[sech(d*x+c)*(a+b*tanh(d*x+c)^2)^3,x,5,1/16*(2*a+b)*(8*a^2+8*a*b+5*b^2)*arctan(sinh(d*x+c))/d-1/16*b*(24*a^2+30*a*b+11*b^2)*sech(d*x+c)*tanh(d*x+c)/d+1/24*b^2*(18*a+13*b)*sech(d*x+c)^3*tanh(d*x+c)/d-1/6*b^3*sech(d*x+c)^5*tanh(d*x+c)/d,1],
[sech(d*x+c)^2*(a+b*tanh(d*x+c)^2)^3,x,3,a^3*tanh(d*x+c)/d+a^2*b*tanh(d*x+c)^3/d+3/5*a*b^2*tanh(d*x+c)^5/d+1/7*b^3*tanh(d*x+c)^7/d,1],
[sech(d*x+c)^3*(a+b*tanh(d*x+c)^2)^3,x,6,1/128*(64*a^3+48*a^2*b+24*a*b^2+5*b^3)*arctan(sinh(d*x+c))/d+1/128*(64*a^3+48*a^2*b+24*a*b^2+5*b^3)*sech(d*x+c)*tanh(d*x+c)/d-1/192*b*(144*a^2+168*a*b+59*b^2)*sech(d*x+c)^3*tanh(d*x+c)/d+1/48*b^2*(24*a+17*b)*sech(d*x+c)^5*tanh(d*x+c)/d-1/8*b^3*sech(d*x+c)^7*tanh(d*x+c)/d,1],
[sech(d*x+c)^4*(a+b*tanh(d*x+c)^2)^3,x,3,a^3*tanh(d*x+c)/d-1/3*a^2*(a-3*b)*tanh(d*x+c)^3/d-3/5*a*(a-b)*b*tanh(d*x+c)^5/d-1/7*(3*a-b)*b^2*tanh(d*x+c)^7/d-1/9*b^3*tanh(d*x+c)^9/d,1],
[cosh(d*x+c)^4/(a+b*tanh(d*x+c)^2),x,6,1/8*(3*a^2+10*a*b+15*b^2)*x/(a+b)^3+b^(5/2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/(a+b)^3/d+1/8*(3*a+7*b)*cosh(d*x+c)*sinh(d*x+c)/(a+b)^2/d+1/4*cosh(d*x+c)^3*sinh(d*x+c)/(a+b)/d,1],
[cosh(d*x+c)^3/(a+b*tanh(d*x+c)^2),x,4,b^2*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/(a+b)^(5/2)/d+(a+2*b)*sinh(d*x+c)/(a+b)^2/d+1/3*sinh(d*x+c)^3/(a+b)/d,1],
[cosh(d*x+c)^2/(a+b*tanh(d*x+c)^2),x,5,1/2*(a+3*b)*x/(a+b)^2+b^(3/2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/(a+b)^2/d+1/2*cosh(d*x+c)*sinh(d*x+c)/(a+b)/d,1],
[cosh(d*x+c)/(a+b*tanh(d*x+c)^2),x,3,b*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/(a+b)^(3/2)/d+sinh(d*x+c)/(a+b)/d,1],
[sech(d*x+c)/(a+b*tanh(d*x+c)^2),x,2,arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/sqrt(a+b)/d,1],
[sech(d*x+c)^2/(a+b*tanh(d*x+c)^2),x,2,arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/sqrt(b)/d,1],
[sech(d*x+c)^3/(a+b*tanh(d*x+c)^2),x,4,-arctan(sinh(d*x+c))/b/d+sqrt(a+b)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/b/d,1],
[sech(d*x+c)^4/(a+b*tanh(d*x+c)^2),x,3,(a+b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/b^(3/2)/d-tanh(d*x+c)/b/d,1],
[sech(d*x+c)^5/(a+b*tanh(d*x+c)^2),x,5,-1/2*(2*a+3*b)*arctan(sinh(d*x+c))/b^2/d+(a+b)^(3/2)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/b^2/d-1/2*sech(d*x+c)*tanh(d*x+c)/b/d,1],
[sech(d*x+c)^6/(a+b*tanh(d*x+c)^2),x,4,(a+b)^2*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/b^(5/2)/d-(a+2*b)*tanh(d*x+c)/b^2/d+1/3*tanh(d*x+c)^3/b/d,1],
[cosh(d*x+c)^3/(a+b*tanh(d*x+c)^2)^2,x,5,1/2*b^2*(6*a+b)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/(a+b)^(7/2)/d+(a+3*b)*sinh(d*x+c)/(a+b)^3/d+1/3*sinh(d*x+c)^3/(a+b)^2/d+1/2*b^3*sinh(d*x+c)/a/(a+b)^3/d/(a+(a+b)*sinh(d*x+c)^2),1],
[cosh(d*x+c)^2/(a+b*tanh(d*x+c)^2)^2,x,6,1/2*(a+5*b)*x/(a+b)^3+1/2*b^(3/2)*(5*a+b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/(a+b)^3/d+1/2*cosh(d*x+c)*sinh(d*x+c)/(a+b)/d/(a+b*tanh(d*x+c)^2)-1/2*(a-b)*b*tanh(d*x+c)/a/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[cosh(d*x+c)/(a+b*tanh(d*x+c)^2)^2,x,4,1/2*b*(4*a+b)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/(a+b)^(5/2)/d+sinh(d*x+c)/(a+b)^2/d+1/2*b^2*sinh(d*x+c)/a/(a+b)^2/d/(a+(a+b)*sinh(d*x+c)^2),1],
[sech(d*x+c)/(a+b*tanh(d*x+c)^2)^2,x,3,1/2*(2*a+b)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/(a+b)^(3/2)/d+1/2*b*sinh(d*x+c)/a/(a+b)/d/(a+(a+b)*sinh(d*x+c)^2),1],
[sech(d*x+c)^2/(a+b*tanh(d*x+c)^2)^2,x,3,1/2*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/sqrt(b)/d+1/2*tanh(d*x+c)/a/d/(a+b*tanh(d*x+c)^2),1],
[sech(d*x+c)^3/(a+b*tanh(d*x+c)^2)^2,x,3,1/2*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/sqrt(a+b)/d+1/2*sinh(d*x+c)/a/d/(a+(a+b)*sinh(d*x+c)^2),1],
[sech(d*x+c)^4/(a+b*tanh(d*x+c)^2)^2,x,3,-1/2*(a-b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/b^(3/2)/d+1/2*(a+b)*tanh(d*x+c)/a/b/d/(a+b*tanh(d*x+c)^2),1],
[sech(d*x+c)^5/(a+b*tanh(d*x+c)^2)^2,x,5,arctan(sinh(d*x+c))/b^2/d-1/2*(2*a-b)*sqrt(a+b)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/b^2/d+1/2*(a+b)*sinh(d*x+c)/a/b/d/(a+(a+b)*sinh(d*x+c)^2),1],
[sech(d*x+c)^6/(a+b*tanh(d*x+c)^2)^2,x,4,-1/2*(3*a-b)*(a+b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/b^(5/2)/d+tanh(d*x+c)/b^2/d+1/2*(a+b)^2*tanh(d*x+c)/a/b^2/d/(a+b*tanh(d*x+c)^2),1],
[sech(d*x+c)^7/(a+b*tanh(d*x+c)^2)^2,x,6,1/2*(4*a+5*b)*arctan(sinh(d*x+c))/b^3/d-1/2*(4*a-b)*(a+b)^(3/2)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/b^3/d+1/2*(a+b)*(2*a+b)*sinh(d*x+c)/a/b^2/d/(a+(a+b)*sinh(d*x+c)^2)-1/2*sech(d*x+c)*tanh(d*x+c)/b/d/(a+(a+b)*sinh(d*x+c)^2),1],
[cosh(d*x+c)^2/(a+b*tanh(d*x+c)^2)^3,x,7,1/2*(a+7*b)*x/(a+b)^4+1/8*b^(3/2)*(35*a^2+14*a*b+3*b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/(a+b)^4/d+1/2*cosh(d*x+c)*sinh(d*x+c)/(a+b)/d/(a+b*tanh(d*x+c)^2)^2-1/4*(2*a-b)*b*tanh(d*x+c)/a/(a+b)^2/d/(a+b*tanh(d*x+c)^2)^2-1/8*(a-3*b)*b*(4*a+b)*tanh(d*x+c)/a^2/(a+b)^3/d/(a+b*tanh(d*x+c)^2),1],
[cosh(d*x+c)/(a+b*tanh(d*x+c)^2)^3,x,6,3/8*b*(8*a^2+4*a*b+b^2)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(5/2)/(a+b)^(7/2)/d+sinh(d*x+c)/(a+b)^3/d+1/4*b^3*sinh(d*x+c)/a/(a+b)^3/d/(a+(a+b)*sinh(d*x+c)^2)^2+3/8*b^2*(4*a+b)*sinh(d*x+c)/a^2/(a+b)^3/d/(a+(a+b)*sinh(d*x+c)^2),1],
[sech(d*x+c)/(a+b*tanh(d*x+c)^2)^3,x,4,1/8*(8*a^2+8*a*b+3*b^2)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(5/2)/(a+b)^(5/2)/d+1/4*b^2*sinh(d*x+c)/a/(a+b)^2/d/(a+(a+b)*sinh(d*x+c)^2)^2+1/8*b*(8*a+3*b)*sinh(d*x+c)/a^2/(a+b)^2/d/(a+(a+b)*sinh(d*x+c)^2),1],
[sech(d*x+c)^2/(a+b*tanh(d*x+c)^2)^3,x,4,3/8*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/sqrt(b)/d+1/4*tanh(d*x+c)/a/d/(a+b*tanh(d*x+c)^2)^2+3/8*tanh(d*x+c)/a^2/d/(a+b*tanh(d*x+c)^2),1],
[sech(d*x+c)^3/(a+b*tanh(d*x+c)^2)^3,x,4,1/8*(4*a+3*b)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(5/2)/(a+b)^(3/2)/d+1/4*b*sinh(d*x+c)/a/(a+b)/d/(a+(a+b)*sinh(d*x+c)^2)^2+1/8*(4*a+3*b)*sinh(d*x+c)/a^2/(a+b)/d/(a+(a+b)*sinh(d*x+c)^2),1],
[sech(d*x+c)^4/(a+b*tanh(d*x+c)^2)^3,x,4,-1/8*(a-3*b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/b^(3/2)/d+1/4*(a+b)*tanh(d*x+c)/a/b/d/(a+b*tanh(d*x+c)^2)^2-1/8*(a-3*b)*tanh(d*x+c)/a^2/b/d/(a+b*tanh(d*x+c)^2),1],
[sech(d*x+c)^5/(a+b*tanh(d*x+c)^2)^3,x,4,3/8*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(5/2)/sqrt(a+b)/d+1/4*sinh(d*x+c)/a/d/(a+(a+b)*sinh(d*x+c)^2)^2+3/8*sinh(d*x+c)/a^2/d/(a+(a+b)*sinh(d*x+c)^2),1],
[sech(d*x+c)^6/(a+b*tanh(d*x+c)^2)^3,x,4,1/8*(3*a^2-2*a*b+3*b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/b^(5/2)/d+1/4*(a+b)^2*tanh(d*x+c)/a/b^2/d/(a+b*tanh(d*x+c)^2)^2-1/8*(5*a-3*b)*(a+b)*tanh(d*x+c)/a^2/b^2/d/(a+b*tanh(d*x+c)^2),1],
[sech(d*x+c)^7/(a+b*tanh(d*x+c)^2)^3,x,6,-arctan(sinh(d*x+c))/b^3/d+1/8*sqrt(a+b)*(8*a^2-4*a*b+3*b^2)*arctan(sqrt(a+b)*sinh(d*x+c)/sqrt(a))/a^(5/2)/b^3/d+1/4*(a+b)*sinh(d*x+c)/a/b/d/(a+(a+b)*sinh(d*x+c)^2)^2-1/8*(4*a-3*b)*(a+b)*sinh(d*x+c)/a^2/b^2/d/(a+(a+b)*sinh(d*x+c)^2),1],
[tanh(d*x+c)^4*(a+b*tanh(d*x+c)^2),x,4,(a+b)*x-(a+b)*tanh(d*x+c)/d-1/3*(a+b)*tanh(d*x+c)^3/d-1/5*b*tanh(d*x+c)^5/d,1],
[tanh(d*x+c)^3*(a+b*tanh(d*x+c)^2),x,3,(a+b)*ln(cosh(d*x+c))/d-1/2*(a+b)*tanh(d*x+c)^2/d-1/4*b*tanh(d*x+c)^4/d,1],
[tanh(d*x+c)^2*(a+b*tanh(d*x+c)^2),x,3,(a+b)*x-(a+b)*tanh(d*x+c)/d-1/3*b*tanh(d*x+c)^3/d,1],
[tanh(d*x+c)*(a+b*tanh(d*x+c)^2),x,2,(a+b)*ln(cosh(d*x+c))/d-1/2*b*tanh(d*x+c)^2/d,1],
[a+b*tanh(d*x+c)^2,x,3,a*x+b*x-b*tanh(d*x+c)/d,1],
[coth(d*x+c)*(a+b*tanh(d*x+c)^2),x,3,b*ln(cosh(d*x+c))/d+a*ln(sinh(d*x+c))/d,1],
[coth(d*x+c)^2*(a+b*tanh(d*x+c)^2),x,2,(a+b)*x-a*coth(d*x+c)/d,1],
[coth(d*x+c)^3*(a+b*tanh(d*x+c)^2),x,3,-1/2*a*coth(d*x+c)^2/d+(a+b)*ln(sinh(d*x+c))/d,1],
[coth(d*x+c)^4*(a+b*tanh(d*x+c)^2),x,4,(a+b)*x-(a+b)*coth(d*x+c)/d-1/3*a*coth(d*x+c)^3/d,1],
[coth(d*x+c)^5*(a+b*tanh(d*x+c)^2),x,4,-1/2*(a+b)*coth(d*x+c)^2/d-1/4*a*coth(d*x+c)^4/d+(a+b)*ln(sinh(d*x+c))/d,1],
[tanh(d*x+c)^4*(a+b*tanh(d*x+c)^2)^2,x,4,(a+b)^2*x-(a+b)^2*tanh(d*x+c)/d-1/3*(a+b)^2*tanh(d*x+c)^3/d-1/5*b*(2*a+b)*tanh(d*x+c)^5/d-1/7*b^2*tanh(d*x+c)^7/d,1],
[tanh(d*x+c)^3*(a+b*tanh(d*x+c)^2)^2,x,4,(a+b)^2*ln(cosh(d*x+c))/d-1/2*(a+b)^2*tanh(d*x+c)^2/d-1/4*b*(2*a+b)*tanh(d*x+c)^4/d-1/6*b^2*tanh(d*x+c)^6/d,1],
[tanh(d*x+c)^2*(a+b*tanh(d*x+c)^2)^2,x,4,(a+b)^2*x-(a+b)^2*tanh(d*x+c)/d-1/3*b*(2*a+b)*tanh(d*x+c)^3/d-1/5*b^2*tanh(d*x+c)^5/d,1],
[tanh(d*x+c)*(a+b*tanh(d*x+c)^2)^2,x,4,(a+b)^2*ln(cosh(d*x+c))/d-1/2*b*(a+b)*tanh(d*x+c)^2/d-1/4*(a+b*tanh(d*x+c)^2)^2/d,1],
[(a+b*tanh(d*x+c)^2)^2,x,4,(a+b)^2*x-b*(2*a+b)*tanh(d*x+c)/d-1/3*b^2*tanh(d*x+c)^3/d,1],
[coth(d*x+c)*(a+b*tanh(d*x+c)^2)^2,x,4,(a+b)^2*ln(cosh(d*x+c))/d+a^2*ln(tanh(d*x+c))/d-1/2*b^2*tanh(d*x+c)^2/d,1],
[coth(d*x+c)^2*(a+b*tanh(d*x+c)^2)^2,x,4,(a+b)^2*x-a^2*coth(d*x+c)/d-b^2*tanh(d*x+c)/d,1],
[coth(d*x+c)^3*(a+b*tanh(d*x+c)^2)^2,x,4,-1/2*a^2*coth(d*x+c)^2/d+(a+b)^2*ln(cosh(d*x+c))/d+a*(a+2*b)*ln(tanh(d*x+c))/d,1],
[coth(d*x+c)^4*(a+b*tanh(d*x+c)^2)^2,x,4,(a+b)^2*x-a*(a+2*b)*coth(d*x+c)/d-1/3*a^2*coth(d*x+c)^3/d,1],
[coth(d*x+c)^5*(a+b*tanh(d*x+c)^2)^2,x,4,-1/2*a*(a+2*b)*coth(d*x+c)^2/d-1/4*a^2*coth(d*x+c)^4/d+(a+b)^2*ln(cosh(d*x+c))/d+(a+b)^2*ln(tanh(d*x+c))/d,1],
[coth(d*x+c)^6*(a+b*tanh(d*x+c)^2)^2,x,4,(a+b)^2*x-(a+b)^2*coth(d*x+c)/d-1/3*a*(a+2*b)*coth(d*x+c)^3/d-1/5*a^2*coth(d*x+c)^5/d,1],
[coth(d*x+c)^7*(a+b*tanh(d*x+c)^2)^2,x,4,-1/2*(a+b)^2*coth(d*x+c)^2/d-1/4*a*(a+2*b)*coth(d*x+c)^4/d-1/6*a^2*coth(d*x+c)^6/d+(a+b)^2*ln(cosh(d*x+c))/d+(a+b)^2*ln(tanh(d*x+c))/d,1],
[tanh(d*x+c)^4*(a+b*tanh(d*x+c)^2)^3,x,4,(a+b)^3*x-(a+b)^3*tanh(d*x+c)/d-1/3*(a+b)^3*tanh(d*x+c)^3/d-1/5*b*(3*a^2+3*a*b+b^2)*tanh(d*x+c)^5/d-1/7*b^2*(3*a+b)*tanh(d*x+c)^7/d-1/9*b^3*tanh(d*x+c)^9/d,1],
[tanh(d*x+c)^3*(a+b*tanh(d*x+c)^2)^3,x,4,(a+b)^3*ln(cosh(d*x+c))/d-1/2*(a+b)^3*tanh(d*x+c)^2/d-1/4*b*(3*a^2+3*a*b+b^2)*tanh(d*x+c)^4/d-1/6*b^2*(3*a+b)*tanh(d*x+c)^6/d-1/8*b^3*tanh(d*x+c)^8/d,1],
[tanh(d*x+c)^2*(a+b*tanh(d*x+c)^2)^3,x,4,(a+b)^3*x-(a+b)^3*tanh(d*x+c)/d-1/3*b*(3*a^2+3*a*b+b^2)*tanh(d*x+c)^3/d-1/5*b^2*(3*a+b)*tanh(d*x+c)^5/d-1/7*b^3*tanh(d*x+c)^7/d,1],
[tanh(d*x+c)*(a+b*tanh(d*x+c)^2)^3,x,4,(a+b)^3*ln(cosh(d*x+c))/d-1/2*b*(a+b)^2*tanh(d*x+c)^2/d-1/4*(a+b)*(a+b*tanh(d*x+c)^2)^2/d-1/6*(a+b*tanh(d*x+c)^2)^3/d,1],
[(a+b*tanh(d*x+c)^2)^3,x,4,(a+b)^3*x-b*(3*a^2+3*a*b+b^2)*tanh(d*x+c)/d-1/3*b^2*(3*a+b)*tanh(d*x+c)^3/d-1/5*b^3*tanh(d*x+c)^5/d,1],
[coth(d*x+c)*(a+b*tanh(d*x+c)^2)^3,x,4,(a+b)^3*ln(cosh(d*x+c))/d+a^3*ln(tanh(d*x+c))/d-1/2*b^2*(3*a+b)*tanh(d*x+c)^2/d-1/4*b^3*tanh(d*x+c)^4/d,1],
[coth(d*x+c)^2*(a+b*tanh(d*x+c)^2)^3,x,4,(a+b)^3*x-a^3*coth(d*x+c)/d-b^2*(3*a+b)*tanh(d*x+c)/d-1/3*b^3*tanh(d*x+c)^3/d,1],
[coth(d*x+c)^3*(a+b*tanh(d*x+c)^2)^3,x,4,-1/2*a^3*coth(d*x+c)^2/d+(a+b)^3*ln(cosh(d*x+c))/d+a^2*(a+3*b)*ln(tanh(d*x+c))/d-1/2*b^3*tanh(d*x+c)^2/d,1],
[coth(d*x+c)^4*(a+b*tanh(d*x+c)^2)^3,x,4,(a+b)^3*x-a^2*(a+3*b)*coth(d*x+c)/d-1/3*a^3*coth(d*x+c)^3/d-b^3*tanh(d*x+c)/d,1],
[coth(d*x+c)^5*(a+b*tanh(d*x+c)^2)^3,x,4,-1/2*a^2*(a+3*b)*coth(d*x+c)^2/d-1/4*a^3*coth(d*x+c)^4/d+(a+b)^3*ln(cosh(d*x+c))/d+a*(a^2+3*a*b+3*b^2)*ln(tanh(d*x+c))/d,1],
[coth(d*x+c)^6*(a+b*tanh(d*x+c)^2)^3,x,4,(a+b)^3*x-a*(a^2+3*a*b+3*b^2)*coth(d*x+c)/d-1/3*a^2*(a+3*b)*coth(d*x+c)^3/d-1/5*a^3*coth(d*x+c)^5/d,1],
[coth(d*x+c)^7*(a+b*tanh(d*x+c)^2)^3,x,4,-1/2*a*(a^2+3*a*b+3*b^2)*coth(d*x+c)^2/d-1/4*a^2*(a+3*b)*coth(d*x+c)^4/d-1/6*a^3*coth(d*x+c)^6/d+(a+b)^3*ln(cosh(d*x+c))/d+(a+b)^3*ln(tanh(d*x+c))/d,1],
[(a+b*tanh(d*x+c)^2)^4,x,4,(a+b)^4*x-b*(2*a+b)*(2*a^2+2*a*b+b^2)*tanh(d*x+c)/d-1/3*b^2*(6*a^2+4*a*b+b^2)*tanh(d*x+c)^3/d-1/5*b^3*(4*a+b)*tanh(d*x+c)^5/d-1/7*b^4*tanh(d*x+c)^7/d,1],
[(a+b*tanh(d*x+c)^2)^5,x,4,(a+b)^5*x-b*(5*a^4+10*a^3*b+10*a^2*b^2+5*a*b^3+b^4)*tanh(d*x+c)/d-1/3*b^2*(10*a^3+10*a^2*b+5*a*b^2+b^3)*tanh(d*x+c)^3/d-1/5*b^3*(10*a^2+5*a*b+b^2)*tanh(d*x+c)^5/d-1/7*b^4*(5*a+b)*tanh(d*x+c)^7/d-1/9*b^5*tanh(d*x+c)^9/d,1],
[tanh(d*x+c)^5/(a+b*tanh(d*x+c)^2),x,4,ln(cosh(d*x+c))/(a+b)/d+1/2*a^2*ln(a+b*tanh(d*x+c)^2)/b^2/(a+b)/d-1/2*tanh(d*x+c)^2/b/d,1],
[tanh(d*x+c)^4/(a+b*tanh(d*x+c)^2),x,5,x/(a+b)+a^(3/2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/b^(3/2)/(a+b)/d-tanh(d*x+c)/b/d,1],
[tanh(d*x+c)^3/(a+b*tanh(d*x+c)^2),x,4,ln(cosh(d*x+c))/(a+b)/d-1/2*a*ln(a+b*tanh(d*x+c)^2)/b/(a+b)/d,1],
[tanh(d*x+c)^2/(a+b*tanh(d*x+c)^2),x,4,x/(a+b)-sqrt(a)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(b)/(a+b)/d,1],
[tanh(d*x+c)/(a+b*tanh(d*x+c)^2),x,5,ln(cosh(d*x+c))/(a+b)/d+1/2*ln(a+b*tanh(d*x+c)^2)/(a+b)/d,1],
[1/(a+b*tanh(d*x+c)^2),x,3,x/(a+b)+sqrt(b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/(a+b)/d,1],
[coth(d*x+c)/(a+b*tanh(d*x+c)^2),x,4,ln(cosh(d*x+c))/(a+b)/d+ln(tanh(d*x+c))/a/d-1/2*b*ln(a+b*tanh(d*x+c)^2)/a/(a+b)/d,1],
[coth(d*x+c)^2/(a+b*tanh(d*x+c)^2),x,5,x/(a+b)-b^(3/2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/(a+b)/d-coth(d*x+c)/a/d,1],
[coth(d*x+c)^3/(a+b*tanh(d*x+c)^2),x,4,-1/2*coth(d*x+c)^2/a/d+ln(cosh(d*x+c))/(a+b)/d+(a-b)*ln(tanh(d*x+c))/a^2/d+1/2*b^2*ln(a+b*tanh(d*x+c)^2)/a^2/(a+b)/d,1],
[coth(d*x+c)^4/(a+b*tanh(d*x+c)^2),x,6,x/(a+b)+b^(5/2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/(a+b)/d-(a-b)*coth(d*x+c)/a^2/d-1/3*coth(d*x+c)^3/a/d,1],
[tanh(d*x+c)^5/(a+b*tanh(d*x+c)^2)^2,x,4,ln(cosh(d*x+c))/(a+b)^2/d-1/2*a*(a+2*b)*ln(a+b*tanh(d*x+c)^2)/b^2/(a+b)^2/d-1/2*a^2/b^2/(a+b)/d/(a+b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^4/(a+b*tanh(d*x+c)^2)^2,x,5,x/(a+b)^2-1/2*sqrt(a)*(a+3*b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/b^(3/2)/(a+b)^2/d+1/2*a*tanh(d*x+c)/b/(a+b)/d/(a+b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^3/(a+b*tanh(d*x+c)^2)^2,x,4,ln(cosh(d*x+c))/(a+b)^2/d+1/2*ln(a+b*tanh(d*x+c)^2)/(a+b)^2/d+1/2*a/b/(a+b)/d/(a+b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^2/(a+b*tanh(d*x+c)^2)^2,x,5,x/(a+b)^2-1/2*(a-b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/sqrt(b)/(a+b)^2/d-1/2*tanh(d*x+c)/(a+b)/d/(a+b*tanh(d*x+c)^2),1],
[tanh(d*x+c)/(a+b*tanh(d*x+c)^2)^2,x,4,ln(cosh(d*x+c))/(a+b)^2/d+1/2*ln(a+b*tanh(d*x+c)^2)/(a+b)^2/d-1/2/(a+b)/d/(a+b*tanh(d*x+c)^2),1],
[1/(a+b*tanh(d*x+c)^2)^2,x,5,x/(a+b)^2+1/2*sqrt(b)*(3*a+b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/(a+b)^2/d+1/2*b*tanh(d*x+c)/a/(a+b)/d/(a+b*tanh(d*x+c)^2),1],
[coth(d*x+c)/(a+b*tanh(d*x+c)^2)^2,x,4,ln(cosh(d*x+c))/(a+b)^2/d+ln(tanh(d*x+c))/a^2/d-1/2*b*(2*a+b)*ln(a+b*tanh(d*x+c)^2)/a^2/(a+b)^2/d+1/2*b/a/(a+b)/d/(a+b*tanh(d*x+c)^2),1],
[coth(d*x+c)^2/(a+b*tanh(d*x+c)^2)^2,x,6,x/(a+b)^2-1/2*b^(3/2)*(5*a+3*b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/(a+b)^2/d-1/2*(2*a+3*b)*coth(d*x+c)/a^2/(a+b)/d+1/2*b*coth(d*x+c)/a/(a+b)/d/(a+b*tanh(d*x+c)^2),1],
[coth(d*x+c)^3/(a+b*tanh(d*x+c)^2)^2,x,4,-1/2*coth(d*x+c)^2/a^2/d+ln(cosh(d*x+c))/(a+b)^2/d+(a-2*b)*ln(tanh(d*x+c))/a^3/d+1/2*b^2*(3*a+2*b)*ln(a+b*tanh(d*x+c)^2)/a^3/(a+b)^2/d-1/2*b^2/a^2/(a+b)/d/(a+b*tanh(d*x+c)^2),1],
[coth(d*x+c)^4/(a+b*tanh(d*x+c)^2)^2,x,7,x/(a+b)^2+1/2*b^(5/2)*(7*a+5*b)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(7/2)/(a+b)^2/d-1/2*(2*a^2-2*a*b-5*b^2)*coth(d*x+c)/a^3/(a+b)/d-1/6*(2*a+5*b)*coth(d*x+c)^3/a^2/(a+b)/d+1/2*b*coth(d*x+c)^3/a/(a+b)/d/(a+b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^6/(a+b*tanh(d*x+c)^2)^3,x,6,x/(a+b)^3-1/8*sqrt(a)*(3*a^2+10*a*b+15*b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/b^(5/2)/(a+b)^3/d+1/4*a*tanh(d*x+c)^3/b/(a+b)/d/(a+b*tanh(d*x+c)^2)^2+1/8*a*(3*a+7*b)*tanh(d*x+c)/b^2/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^5/(a+b*tanh(d*x+c)^2)^3,x,4,ln(cosh(d*x+c))/(a+b)^3/d+1/2*ln(a+b*tanh(d*x+c)^2)/(a+b)^3/d-1/4*a^2/b^2/(a+b)/d/(a+b*tanh(d*x+c)^2)^2+1/2*a*(a+2*b)/b^2/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^4/(a+b*tanh(d*x+c)^2)^3,x,6,x/(a+b)^3-1/8*(a^2+6*a*b-3*b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/b^(3/2)/(a+b)^3/d+1/4*a*tanh(d*x+c)/b/(a+b)/d/(a+b*tanh(d*x+c)^2)^2-1/8*(a+5*b)*tanh(d*x+c)/b/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^3/(a+b*tanh(d*x+c)^2)^3,x,4,ln(cosh(d*x+c))/(a+b)^3/d+1/2*ln(a+b*tanh(d*x+c)^2)/(a+b)^3/d+1/4*a/b/(a+b)/d/(a+b*tanh(d*x+c)^2)^2-1/2/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^2/(a+b*tanh(d*x+c)^2)^3,x,6,x/(a+b)^3-1/8*(3*a^2-6*a*b-b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/sqrt(b)/(a+b)^3/d-1/4*tanh(d*x+c)/(a+b)/d/(a+b*tanh(d*x+c)^2)^2-1/8*(3*a-b)*tanh(d*x+c)/a/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[tanh(d*x+c)/(a+b*tanh(d*x+c)^2)^3,x,4,ln(cosh(d*x+c))/(a+b)^3/d+1/2*ln(a+b*tanh(d*x+c)^2)/(a+b)^3/d-1/4/(a+b)/d/(a+b*tanh(d*x+c)^2)^2-1/2/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[1/(a+b*tanh(d*x+c)^2)^3,x,6,x/(a+b)^3+1/8*sqrt(b)*(15*a^2+10*a*b+3*b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/(a+b)^3/d+1/4*b*tanh(d*x+c)/a/(a+b)/d/(a+b*tanh(d*x+c)^2)^2+1/8*b*(7*a+3*b)*tanh(d*x+c)/a^2/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[coth(d*x+c)/(a+b*tanh(d*x+c)^2)^3,x,4,ln(cosh(d*x+c))/(a+b)^3/d+ln(tanh(d*x+c))/a^3/d-1/2*b*(3*a^2+3*a*b+b^2)*ln(a+b*tanh(d*x+c)^2)/a^3/(a+b)^3/d+1/4*b/a/(a+b)/d/(a+b*tanh(d*x+c)^2)^2+1/2*b*(2*a+b)/a^2/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[coth(d*x+c)^2/(a+b*tanh(d*x+c)^2)^3,x,7,x/(a+b)^3-1/8*b^(3/2)*(35*a^2+42*a*b+15*b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(7/2)/(a+b)^3/d-1/8*(8*a^2+27*a*b+15*b^2)*coth(d*x+c)/a^3/(a+b)^2/d+1/4*b*coth(d*x+c)/a/(a+b)/d/(a+b*tanh(d*x+c)^2)^2+1/8*b*(9*a+5*b)*coth(d*x+c)/a^2/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[coth(d*x+c)^3/(a+b*tanh(d*x+c)^2)^3,x,4,-1/2*coth(d*x+c)^2/a^3/d+ln(cosh(d*x+c))/(a+b)^3/d+(a-3*b)*ln(tanh(d*x+c))/a^4/d+1/2*b^2*(6*a^2+8*a*b+3*b^2)*ln(a+b*tanh(d*x+c)^2)/a^4/(a+b)^3/d-1/4*b^2/a^2/(a+b)/d/(a+b*tanh(d*x+c)^2)^2-1/2*b^2*(3*a+2*b)/a^3/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[coth(d*x+c)^4/(a+b*tanh(d*x+c)^2)^3,x,8,x/(a+b)^3+1/8*b^(5/2)*(63*a^2+90*a*b+35*b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(9/2)/(a+b)^3/d-1/8*(8*a^3-8*a^2*b-55*a*b^2-35*b^3)*coth(d*x+c)/a^4/(a+b)^2/d-1/24*(8*a^2+55*a*b+35*b^2)*coth(d*x+c)^3/a^3/(a+b)^2/d+1/4*b*coth(d*x+c)^3/a/(a+b)/d/(a+b*tanh(d*x+c)^2)^2+1/8*b*(11*a+7*b)*coth(d*x+c)^3/a^2/(a+b)^2/d/(a+b*tanh(d*x+c)^2),1],
[1/(a+b*tanh(d*x+c)^2)^4,x,7,x/(a+b)^4+1/16*sqrt(b)*(35*a^3+35*a^2*b+21*a*b^2+5*b^3)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a))/a^(7/2)/(a+b)^4/d+1/6*b*tanh(d*x+c)/a/(a+b)/d/(a+b*tanh(d*x+c)^2)^3+1/24*b*(11*a+5*b)*tanh(d*x+c)/a^2/(a+b)^2/d/(a+b*tanh(d*x+c)^2)^2+1/16*b*(19*a^2+16*a*b+5*b^2)*tanh(d*x+c)/a^3/(a+b)^3/d/(a+b*tanh(d*x+c)^2),1],
[sqrt(1-tanh(x)^2),x,3,arcsin(tanh(x)),1],
[sqrt(-1+tanh(x)^2),x,4,-arctanh(tanh(x)/sqrt(-sech(x)^2)),1],
[(1-tanh(x)^2)^(3/2),x,4,1/2*arcsin(tanh(x))+1/2*sqrt(sech(x)^2)*tanh(x),1],
[(-1+tanh(x)^2)^(3/2),x,5,1/2*arctanh(tanh(x)/sqrt(-sech(x)^2))-1/2*sqrt(-sech(x)^2)*tanh(x),1],
[1/sqrt(1-tanh(x)^2),x,3,tanh(x)/sqrt(sech(x)^2),1],
[1/sqrt(-1+tanh(x)^2),x,3,tanh(x)/sqrt(-sech(x)^2),1],
[tanh(x)^5*sqrt(a+b*tanh(x)^2),x,7,sqrt(a+b)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))-sqrt(a+b*tanh(x)^2)+1/3*(a-b)*(a+b*tanh(x)^2)^(3/2)/b^2-1/5*(a+b*tanh(x)^2)^(5/2)/b^2,1],
[tanh(x)^4*sqrt(a+b*tanh(x)^2),x,8,1/8*(a^2-4*a*b-8*b^2)*arctanh(sqrt(b)*tanh(x)/sqrt(a+b*tanh(x)^2))/b^(3/2)+sqrt(a+b)*arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))-1/8*(a+4*b)*tanh(x)*sqrt(a+b*tanh(x)^2)/b-1/4*tanh(x)^3*sqrt(a+b*tanh(x)^2),1],
[tanh(x)^3*sqrt(a+b*tanh(x)^2),x,6,sqrt(a+b)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))-sqrt(a+b*tanh(x)^2)-1/3*(a+b*tanh(x)^2)^(3/2)/b,1],
[tanh(x)^2*sqrt(a+b*tanh(x)^2),x,7,-1/2*(a+2*b)*arctanh(sqrt(b)*tanh(x)/sqrt(a+b*tanh(x)^2))/sqrt(b)+sqrt(a+b)*arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))-1/2*tanh(x)*sqrt(a+b*tanh(x)^2),1],
[tanh(x)*sqrt(a+b*tanh(x)^2),x,5,sqrt(a+b)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))-sqrt(a+b*tanh(x)^2),1],
[sqrt(a+b*tanh(x)^2),x,6,-sqrt(b)*arctanh(sqrt(b)*tanh(x)/sqrt(a+b*tanh(x)^2))+sqrt(a+b)*arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2)),1],
[coth(x)*sqrt(a+b*tanh(x)^2),x,7,-sqrt(a)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a))+sqrt(a+b)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b)),1],
[coth(x)^2*sqrt(a+b*tanh(x)^2),x,5,sqrt(a+b)*arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))-coth(x)*sqrt(a+b*tanh(x)^2),1],
[coth(x)^3*sqrt(a+b*tanh(x)^2),x,8,-1/2*(2*a+b)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a))/sqrt(a)+sqrt(a+b)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))-1/2*coth(x)^2*sqrt(a+b*tanh(x)^2),1],
[coth(x)^4*sqrt(a+b*tanh(x)^2),x,6,sqrt(a+b)*arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))-1/3*(3*a+b)*coth(x)*sqrt(a+b*tanh(x)^2)/a-1/3*coth(x)^3*sqrt(a+b*tanh(x)^2),1],
[coth(x)^5*sqrt(a+b*tanh(x)^2),x,9,-1/8*(8*a^2+4*a*b-b^2)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a))/a^(3/2)+sqrt(a+b)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))-1/8*(4*a+b)*coth(x)^2*sqrt(a+b*tanh(x)^2)/a-1/4*coth(x)^4*sqrt(a+b*tanh(x)^2),1],
[tanh(x)^3*(a+b*tanh(x)^2)^(3/2),x,7,(a+b)^(3/2)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))-(a+b)*sqrt(a+b*tanh(x)^2)-1/3*(a+b*tanh(x)^2)^(3/2)-1/5*(a+b*tanh(x)^2)^(5/2)/b,1],
[tanh(x)^2*(a+b*tanh(x)^2)^(3/2),x,8,-1/8*(3*a^2+12*a*b+8*b^2)*arctanh(sqrt(b)*tanh(x)/sqrt(a+b*tanh(x)^2))/sqrt(b)+(a+b)^(3/2)*arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))-1/8*(5*a+4*b)*tanh(x)*sqrt(a+b*tanh(x)^2)-1/4*b*tanh(x)^3*sqrt(a+b*tanh(x)^2),1],
[tanh(x)*(a+b*tanh(x)^2)^(3/2),x,6,(a+b)^(3/2)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))-(a+b)*sqrt(a+b*tanh(x)^2)-1/3*(a+b*tanh(x)^2)^(3/2),1],
[(a+b*tanh(x)^2)^(3/2),x,7,-1/2*sqrt(b)*(3*a+2*b)*arctanh(sqrt(b)*tanh(x)/sqrt(a+b*tanh(x)^2))+(a+b)^(3/2)*arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))-1/2*b*tanh(x)*sqrt(a+b*tanh(x)^2),1],
[coth(x)*(a+b*tanh(x)^2)^(3/2),x,8,-a^(3/2)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a))+(a+b)^(3/2)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))-b*sqrt(a+b*tanh(x)^2),1],
[coth(x)^2*(a+b*tanh(x)^2)^(3/2),x,7,-b^(3/2)*arctanh(sqrt(b)*tanh(x)/sqrt(a+b*tanh(x)^2))+(a+b)^(3/2)*arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))-a*coth(x)*sqrt(a+b*tanh(x)^2),1],
[sqrt(1+tanh(x)^2),x,5,-arcsinh(tanh(x))+sqrt(2)*arctanh(sqrt(2)*tanh(x)/sqrt(1+tanh(x)^2)),1],
[sqrt(-1-tanh(x)^2),x,6,arctan(tanh(x)/sqrt(-1-tanh(x)^2))-sqrt(2)*arctan(sqrt(2)*tanh(x)/sqrt(-1-tanh(x)^2)),1],
[(1+tanh(x)^2)^(3/2),x,6,-5/2*arcsinh(tanh(x))+2*sqrt(2)*arctanh(sqrt(2)*tanh(x)/sqrt(1+tanh(x)^2))-1/2*tanh(x)*sqrt(1+tanh(x)^2),1],
[(-1-tanh(x)^2)^(3/2),x,7,-5/2*arctan(tanh(x)/sqrt(-1-tanh(x)^2))+2*sqrt(2)*arctan(sqrt(2)*tanh(x)/sqrt(-1-tanh(x)^2))+1/2*tanh(x)*sqrt(-1-tanh(x)^2),1],
[tanh(x)^5/sqrt(a+b*tanh(x)^2),x,6,arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/sqrt(a+b)+(a-b)*sqrt(a+b*tanh(x)^2)/b^2-1/3*(a+b*tanh(x)^2)^(3/2)/b^2,1],
[tanh(x)^4/sqrt(a+b*tanh(x)^2),x,7,1/2*(a-2*b)*arctanh(sqrt(b)*tanh(x)/sqrt(a+b*tanh(x)^2))/b^(3/2)+arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/sqrt(a+b)-1/2*tanh(x)*sqrt(a+b*tanh(x)^2)/b,1],
[tanh(x)^3/sqrt(a+b*tanh(x)^2),x,5,arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/sqrt(a+b)-sqrt(a+b*tanh(x)^2)/b,1],
[tanh(x)^2/sqrt(a+b*tanh(x)^2),x,6,-arctanh(sqrt(b)*tanh(x)/sqrt(a+b*tanh(x)^2))/sqrt(b)+arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/sqrt(a+b),1],
[tanh(x)/sqrt(a+b*tanh(x)^2),x,4,arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/sqrt(a+b),1],
[1/sqrt(a+b*tanh(x)^2),x,3,arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/sqrt(a+b),1],
[coth(x)/sqrt(a+b*tanh(x)^2),x,7,-arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a))/sqrt(a)+arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/sqrt(a+b),1],
[coth(x)^2/sqrt(a+b*tanh(x)^2),x,5,arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/sqrt(a+b)-coth(x)*sqrt(a+b*tanh(x)^2)/a,1],
[coth(x)^3/sqrt(a+b*tanh(x)^2),x,8,-1/2*(2*a-b)*arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a))/a^(3/2)+arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/sqrt(a+b)-1/2*coth(x)^2*sqrt(a+b*tanh(x)^2)/a,1],
[tanh(x)^5/(a+b*tanh(x)^2)^(3/2),x,7,arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/(a+b)^(3/2)-a^2/b^2/(a+b)/sqrt(a+b*tanh(x)^2)-sqrt(a+b*tanh(x)^2)/b^2,1],
[tanh(x)^4/(a+b*tanh(x)^2)^(3/2),x,7,-arctanh(sqrt(b)*tanh(x)/sqrt(a+b*tanh(x)^2))/b^(3/2)+arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/(a+b)^(3/2)+a*tanh(x)/b/(a+b)/sqrt(a+b*tanh(x)^2),1],
[tanh(x)^3/(a+b*tanh(x)^2)^(3/2),x,5,arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/(a+b)^(3/2)+a/b/(a+b)/sqrt(a+b*tanh(x)^2),1],
[tanh(x)^2/(a+b*tanh(x)^2)^(3/2),x,4,arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/(a+b)^(3/2)-tanh(x)/(a+b)/sqrt(a+b*tanh(x)^2),1],
[tanh(x)/(a+b*tanh(x)^2)^(3/2),x,5,arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/(a+b)^(3/2)-1/(a+b)/sqrt(a+b*tanh(x)^2),1],
[1/(a+b*tanh(x)^2)^(3/2),x,4,arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/(a+b)^(3/2)+b*tanh(x)/a/(a+b)/sqrt(a+b*tanh(x)^2),1],
[coth(x)/(a+b*tanh(x)^2)^(3/2),x,8,-arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a))/a^(3/2)+arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/(a+b)^(3/2)+b/a/(a+b)/sqrt(a+b*tanh(x)^2),1],
[coth(x)^2/(a+b*tanh(x)^2)^(3/2),x,6,arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/(a+b)^(3/2)+b*coth(x)/a/(a+b)/sqrt(a+b*tanh(x)^2)-(a+2*b)*coth(x)*sqrt(a+b*tanh(x)^2)/a^2/(a+b),1],
[tanh(x)^6/(a+b*tanh(x)^2)^(5/2),x,8,-arctanh(sqrt(b)*tanh(x)/sqrt(a+b*tanh(x)^2))/b^(5/2)+arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/(a+b)^(5/2)+1/3*a*tanh(x)^3/b/(a+b)/(a+b*tanh(x)^2)^(3/2)+a*(a+2*b)*tanh(x)/b^2/(a+b)^2/sqrt(a+b*tanh(x)^2),1],
[tanh(x)^5/(a+b*tanh(x)^2)^(5/2),x,6,arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/(a+b)^(5/2)-1/3*a^2/b^2/(a+b)/(a+b*tanh(x)^2)^(3/2)+a*(a+2*b)/b^2/(a+b)^2/sqrt(a+b*tanh(x)^2),1],
[tanh(x)^4/(a+b*tanh(x)^2)^(5/2),x,5,arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/(a+b)^(5/2)+1/3*a*tanh(x)/b/(a+b)/(a+b*tanh(x)^2)^(3/2)-1/3*(a+4*b)*tanh(x)/b/(a+b)^2/sqrt(a+b*tanh(x)^2),1],
[tanh(x)^3/(a+b*tanh(x)^2)^(5/2),x,6,arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/(a+b)^(5/2)+1/3*a/b/(a+b)/(a+b*tanh(x)^2)^(3/2)-1/(a+b)^2/sqrt(a+b*tanh(x)^2),1],
[tanh(x)^2/(a+b*tanh(x)^2)^(5/2),x,5,arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/(a+b)^(5/2)-1/3*tanh(x)/(a+b)/(a+b*tanh(x)^2)^(3/2)-1/3*(2*a-b)*tanh(x)/a/(a+b)^2/sqrt(a+b*tanh(x)^2),1],
[tanh(x)/(a+b*tanh(x)^2)^(5/2),x,6,arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/(a+b)^(5/2)-1/3/(a+b)/(a+b*tanh(x)^2)^(3/2)-1/(a+b)^2/sqrt(a+b*tanh(x)^2),1],
[1/(a+b*tanh(x)^2)^(5/2),x,5,arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/(a+b)^(5/2)+1/3*b*tanh(x)/a/(a+b)/(a+b*tanh(x)^2)^(3/2)+1/3*b*(5*a+2*b)*tanh(x)/a^2/(a+b)^2/sqrt(a+b*tanh(x)^2),1],
[coth(x)/(a+b*tanh(x)^2)^(5/2),x,9,-arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a))/a^(5/2)+arctanh(sqrt(a+b*tanh(x)^2)/sqrt(a+b))/(a+b)^(5/2)+1/3*b/a/(a+b)/(a+b*tanh(x)^2)^(3/2)+b*(2*a+b)/a^2/(a+b)^2/sqrt(a+b*tanh(x)^2),1],
[coth(x)^2/(a+b*tanh(x)^2)^(5/2),x,7,arctanh(sqrt(a+b)*tanh(x)/sqrt(a+b*tanh(x)^2))/(a+b)^(5/2)+1/3*b*coth(x)/a/(a+b)/(a+b*tanh(x)^2)^(3/2)+1/3*b*(7*a+4*b)*coth(x)/a^2/(a+b)^2/sqrt(a+b*tanh(x)^2)-1/3*(3*a+2*b)*(a+4*b)*coth(x)*sqrt(a+b*tanh(x)^2)/a^3/(a+b)^2,1],
[1/sqrt(1+tanh(x)^2),x,3,arctanh(sqrt(2)*tanh(x)/sqrt(1+tanh(x)^2))/sqrt(2),1],
[1/sqrt(-1-tanh(x)^2),x,3,arctan(sqrt(2)*tanh(x)/sqrt(-1-tanh(x)^2))/sqrt(2),1],
[(a+b*tanh(d*x+c)^3)^2,x,6,(a^2+b^2)*x+2*a*b*ln(cosh(d*x+c))/d-b^2*tanh(d*x+c)/d-a*b*tanh(d*x+c)^2/d-1/3*b^2*tanh(d*x+c)^3/d-1/5*b^2*tanh(d*x+c)^5/d,1],
[1/(1+tanh(x)^3),x,6,1/2*x-2/3*arctan((1-2*tanh(x))/sqrt(3))/sqrt(3)-1/(6+6*tanh(x)),1],
[tanh(x)*(a+b*tanh(x)^4)^(3/2),x,10,-1/4*sqrt(b)*(3*a+2*b)*arctanh(sqrt(b)*tanh(x)^2/sqrt(a+b*tanh(x)^4))+1/2*(a+b)^(3/2)*arctanh((a+b*tanh(x)^2)/sqrt(a+b)/sqrt(a+b*tanh(x)^4))-1/2*(a+b)*sqrt(a+b*tanh(x)^4)-1/4*b*tanh(x)^2*sqrt(a+b*tanh(x)^4)-1/6*(a+b*tanh(x)^4)^(3/2),1],
[tanh(x)*sqrt(a+b*tanh(x)^4),x,8,-1/2*sqrt(b)*arctanh(sqrt(b)*tanh(x)^2/sqrt(a+b*tanh(x)^4))+1/2*sqrt(a+b)*arctanh((a+b*tanh(x)^2)/sqrt(a+b)/sqrt(a+b*tanh(x)^4))-1/2*sqrt(a+b*tanh(x)^4),1],
[tanh(x)/sqrt(a+b*tanh(x)^4),x,4,1/2*arctanh((a+b*tanh(x)^2)/sqrt(a+b)/sqrt(a+b*tanh(x)^4))/sqrt(a+b),1],
[tanh(x)/(a+b*tanh(x)^4)^(3/2),x,6,1/2*arctanh((a+b*tanh(x)^2)/sqrt(a+b)/sqrt(a+b*tanh(x)^4))/(a+b)^(3/2)-1/2*(a-b*tanh(x)^2)/a/(a+b)/sqrt(a+b*tanh(x)^4),1],
[tanh(x)/(a+b*tanh(x)^4)^(5/2),x,7,1/2*arctanh((a+b*tanh(x)^2)/sqrt(a+b)/sqrt(a+b*tanh(x)^4))/(a+b)^(5/2)-1/6*(a-b*tanh(x)^2)/a/(a+b)/(a+b*tanh(x)^4)^(3/2)-1/6*(3*a^2-b*(5*a+2*b)*tanh(x)^2)/a^2/(a+b)^2/sqrt(a+b*tanh(x)^4),1]]: