lst:=[[(a+b*sech(d*x+c)^2)*sinh(d*x+c)^4,x,6,3/8*(a-4*b)*x-1/8*(5*a-4*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*a*cosh(d*x+c)^3*sinh(d*x+c)/d+b*tanh(d*x+c)/d,1],
[(a+b*sech(d*x+c)^2)*sinh(d*x+c)^3,x,3,-(a-b)*cosh(d*x+c)/d+1/3*a*cosh(d*x+c)^3/d+b*sech(d*x+c)/d,1],
[(a+b*sech(d*x+c)^2)*sinh(d*x+c)^2,x,5,-1/2*(a-2*b)*x+1/2*a*cosh(d*x+c)*sinh(d*x+c)/d-b*tanh(d*x+c)/d,1],
[(a+b*sech(d*x+c)^2)*sinh(d*x+c),x,3,a*cosh(d*x+c)/d-b*sech(d*x+c)/d,1],
[csch(d*x+c)*(a+b*sech(d*x+c)^2),x,3,-(a+b)*arctanh(cosh(d*x+c))/d+b*sech(d*x+c)/d,1],
[csch(d*x+c)^2*(a+b*sech(d*x+c)^2),x,3,-(a+b)*coth(d*x+c)/d-b*tanh(d*x+c)/d,1],
[csch(d*x+c)^3*(a+b*sech(d*x+c)^2),x,4,1/2*(a+3*b)*arctanh(cosh(d*x+c))/d-1/2*(a+b)*coth(d*x+c)*csch(d*x+c)/d-b*sech(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*sech(d*x+c)^2),x,3,(a+2*b)*coth(d*x+c)/d-1/3*(a+b)*coth(d*x+c)^3/d+b*tanh(d*x+c)/d,1],
[(a+b*sech(d*x+c)^2)^2*sinh(d*x+c)^4,x,6,1/8*(3*a^2-24*a*b+8*b^2)*x-1/8*a*(5*a-8*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*a^2*cosh(d*x+c)^3*sinh(d*x+c)/d+(2*a-b)*b*tanh(d*x+c)/d-1/3*b^2*tanh(d*x+c)^3/d,1],
[(a+b*sech(d*x+c)^2)^2*sinh(d*x+c)^3,x,3,-a*(a-2*b)*cosh(d*x+c)/d+1/3*a^2*cosh(d*x+c)^3/d+(2*a-b)*b*sech(d*x+c)/d+1/3*b^2*sech(d*x+c)^3/d,1],
[(a+b*sech(d*x+c)^2)^2*sinh(d*x+c)^2,x,5,-1/2*a*(a-4*b)*x+1/2*a^2*cosh(d*x+c)*sinh(d*x+c)/d-2*a*b*tanh(d*x+c)/d+1/3*b^2*tanh(d*x+c)^3/d,1],
[(a+b*sech(d*x+c)^2)^2*sinh(d*x+c),x,3,a^2*cosh(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)*(a+b*sech(d*x+c)^2)^2,x,4,-(a+b)^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*sech(d*x+c)^2)^2,x,3,-(a+b)^2*coth(d*x+c)/d-2*b*(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*sech(d*x+c)^2)^2,x,5,1/2*(a+b)*(a+5*b)*arctanh(cosh(d*x+c))/d-1/2*(a+b)^2*coth(d*x+c)*csch(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)^4*(a+b*sech(d*x+c)^2)^2,x,3,(a+b)*(a+3*b)*coth(d*x+c)/d-1/3*(a+b)^2*coth(d*x+c)^3/d+b*(2*a+3*b)*tanh(d*x+c)/d-1/3*b^2*tanh(d*x+c)^3/d,1],
[(a+b*sech(d*x+c)^2)^3*sinh(d*x+c)^4,x,6,3/8*a*(a^2-12*a*b+8*b^2)*x-1/8*a^2*(5*a-12*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*a^3*cosh(d*x+c)^3*sinh(d*x+c)/d+3*a*(a-b)*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],
[(a+b*sech(d*x+c)^2)^3*sinh(d*x+c)^3,x,3,-a^2*(a-3*b)*cosh(d*x+c)/d+1/3*a^3*cosh(d*x+c)^3/d+3*a*(a-b)*b*sech(d*x+c)/d+1/3*(3*a-b)*b^2*sech(d*x+c)^3/d+1/5*b^3*sech(d*x+c)^5/d,1],
[(a+b*sech(d*x+c)^2)^3*sinh(d*x+c)^2,x,5,-1/2*a^2*(a-6*b)*x+1/2*a^3*cosh(d*x+c)*sinh(d*x+c)/d-3*a^2*b*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],
[(a+b*sech(d*x+c)^2)^3*sinh(d*x+c),x,3,a^3*cosh(d*x+c)/d-3*a^2*b*sech(d*x+c)/d-a*b^2*sech(d*x+c)^3/d-1/5*b^3*sech(d*x+c)^5/d,1],
[csch(d*x+c)*(a+b*sech(d*x+c)^2)^3,x,4,-(a+b)^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+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*sech(d*x+c)^2)^3,x,3,-(a+b)^3*coth(d*x+c)/d-3*b*(a+b)^2*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],
[csch(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x,6,1/2*(a+b)^2*(a+7*b)*arctanh(cosh(d*x+c))/d-1/2*(a+b)^3*coth(d*x+c)*csch(d*x+c)/d-3*b*(a+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)^4*(a+b*sech(d*x+c)^2)^3,x,3,(a+b)^2*(a+4*b)*coth(d*x+c)/d-1/3*(a+b)^3*coth(d*x+c)^3/d+3*b*(a+b)*(a+2*b)*tanh(d*x+c)/d-1/3*b^2*(3*a+4*b)*tanh(d*x+c)^3/d+1/5*b^3*tanh(d*x+c)^5/d,1],
[sinh(d*x+c)^4/(a+b*sech(d*x+c)^2),x,6,1/8*(3*a^2+12*a*b+8*b^2)*x/a^3-sqrt(b)*(a+b)^(3/2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^3/d-1/8*(5*a+4*b)*cosh(d*x+c)*sinh(d*x+c)/a^2/d+1/4*cosh(d*x+c)^3*sinh(d*x+c)/a/d,1],
[sinh(d*x+c)^3/(a+b*sech(d*x+c)^2),x,4,sqrt(b)*(a+b)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/a^(5/2)/d-(a+b)*cosh(d*x+c)/a^2/d+1/3*cosh(d*x+c)^3/a/d,1],
[sinh(d*x+c)^2/(a+b*sech(d*x+c)^2),x,5,-1/2*(a+2*b)*x/a^2+sqrt(b)*sqrt(a+b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^2/d+1/2*cosh(d*x+c)*sinh(d*x+c)/a/d,1],
[sinh(d*x+c)/(a+b*sech(d*x+c)^2),x,3,-sqrt(b)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/a^(3/2)/d+cosh(d*x+c)/a/d,1],
[csch(d*x+c)/(a+b*sech(d*x+c)^2),x,4,sqrt(b)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/sqrt(a)/(a+b)/d-arctanh(cosh(d*x+c))/(a+b)/d,1],
[csch(d*x+c)^2/(a+b*sech(d*x+c)^2),x,3,sqrt(b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/(a+b)^(3/2)/d-coth(d*x+c)/(a+b)/d,1],
[csch(d*x+c)^3/(a+b*sech(d*x+c)^2),x,5,-sqrt(a)*sqrt(b)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/(a+b)^2/d+1/2*(a-b)*arctanh(cosh(d*x+c))/(a+b)^2/d-1/2*coth(d*x+c)*csch(d*x+c)/(a+b)/d,1],
[csch(d*x+c)^4/(a+b*sech(d*x+c)^2),x,4,-a*sqrt(b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/(a+b)^(5/2)/d+a*coth(d*x+c)/(a+b)^2/d-1/3*coth(d*x+c)^3/(a+b)/d,1],
[sinh(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x,7,3/8*(a^2+8*a*b+8*b^2)*x/a^4-3/2*sqrt(b)*sqrt(a+b)*(a+2*b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^4/d-1/8*(5*a+6*b)*cosh(d*x+c)*sinh(d*x+c)/a^2/d/(a+b-b*tanh(d*x+c)^2)+1/4*cosh(d*x+c)^3*sinh(d*x+c)/a/d/(a+b-b*tanh(d*x+c)^2)-3/8*b*(3*a+4*b)*tanh(d*x+c)/a^3/d/(a+b-b*tanh(d*x+c)^2),1],
[sinh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x,5,1/2*sqrt(b)*(3*a+5*b)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/a^(7/2)/d-(a+2*b)*cosh(d*x+c)/a^3/d+1/3*cosh(d*x+c)^3/a^2/d-1/2*b*(a+b)*cosh(d*x+c)/a^3/d/(b+a*cosh(d*x+c)^2),1],
[sinh(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x,6,-1/2*(a+4*b)*x/a^3+1/2*sqrt(b)*(3*a+4*b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^3/sqrt(a+b)/d+1/2*cosh(d*x+c)*sinh(d*x+c)/a/d/(a+b-b*tanh(d*x+c)^2)+b*tanh(d*x+c)/a^2/d/(a+b-b*tanh(d*x+c)^2),1],
[sinh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x,5,-3/2*sqrt(b)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/a^(5/2)/d+cosh(d*x+c)/a^2/d+1/2*b*cosh(d*x+c)/a^2/d/(b+a*cosh(d*x+c)^2),1],
[csch(d*x+c)/(a+b*sech(d*x+c)^2)^2,x,5,1/2*sqrt(b)*(3*a+b)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/a^(3/2)/(a+b)^2/d-arctanh(cosh(d*x+c))/(a+b)^2/d-1/2*b*cosh(d*x+c)/a/(a+b)/d/(b+a*cosh(d*x+c)^2),1],
[csch(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x,4,3/2*sqrt(b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/(a+b)^(5/2)/d-coth(d*x+c)/(a+b)^2/d+1/2*b*tanh(d*x+c)/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2),1],
[csch(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x,6,-1/2*(3*a-b)*sqrt(b)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/sqrt(a)/(a+b)^3/d+1/2*(a-3*b)*arctanh(cosh(d*x+c))/(a+b)^3/d-1/2*(a-b)*cosh(d*x+c)/(a+b)^2/d/(b+a*cosh(d*x+c)^2)-1/2*coth(d*x+c)*csch(d*x+c)/(a+b)/d/(b+a*cosh(d*x+c)^2),1],
[csch(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x,5,-1/2*(3*a-2*b)*sqrt(b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/(a+b)^(7/2)/d+(a-b)*coth(d*x+c)/(a+b)^3/d-1/3*coth(d*x+c)^3/(a+b)^2/d-1/2*a*b*tanh(d*x+c)/(a+b)^3/d/(a+b-b*tanh(d*x+c)^2),1],
[sinh(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x,8,3/8*(a^2+12*a*b+16*b^2)*x/a^5-3/8*sqrt(b)*(5*a^2+20*a*b+16*b^2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^5/sqrt(a+b)/d-1/8*(5*a+8*b)*cosh(d*x+c)*sinh(d*x+c)/a^2/d/(a+b-b*tanh(d*x+c)^2)^2+1/4*cosh(d*x+c)^3*sinh(d*x+c)/a/d/(a+b-b*tanh(d*x+c)^2)^2-1/8*b*(7*a+12*b)*tanh(d*x+c)/a^3/d/(a+b-b*tanh(d*x+c)^2)^2-3/2*b*(a+2*b)*tanh(d*x+c)/a^4/d/(a+b-b*tanh(d*x+c)^2),1],
[sinh(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x,6,5/8*sqrt(b)*(3*a+7*b)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/a^(9/2)/d-(a+3*b)*cosh(d*x+c)/a^4/d+1/3*cosh(d*x+c)^3/a^3/d+1/4*b^2*(a+b)*cosh(d*x+c)/a^4/d/(b+a*cosh(d*x+c)^2)^2-1/8*b*(9*a+13*b)*cosh(d*x+c)/a^4/d/(b+a*cosh(d*x+c)^2),1],
[sinh(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x,7,-1/2*(a+6*b)*x/a^4+1/8*sqrt(b)*(15*a^2+40*a*b+24*b^2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^4/(a+b)^(3/2)/d+1/2*cosh(d*x+c)*sinh(d*x+c)/a/d/(a+b-b*tanh(d*x+c)^2)^2+3/4*b*tanh(d*x+c)/a^2/d/(a+b-b*tanh(d*x+c)^2)^2+1/8*b*(11*a+12*b)*tanh(d*x+c)/a^3/(a+b)/d/(a+b-b*tanh(d*x+c)^2),1],
[sinh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x,6,-15/8*sqrt(b)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/a^(7/2)/d+cosh(d*x+c)/a^3/d-1/4*b^2*cosh(d*x+c)/a^3/d/(b+a*cosh(d*x+c)^2)^2+9/8*b*cosh(d*x+c)/a^3/d/(b+a*cosh(d*x+c)^2),1],
[csch(d*x+c)/(a+b*sech(d*x+c)^2)^3,x,6,1/8*sqrt(b)*(15*a^2+10*a*b+3*b^2)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/a^(5/2)/(a+b)^3/d-arctanh(cosh(d*x+c))/(a+b)^3/d-1/4*b*cosh(d*x+c)^3/a/(a+b)/d/(b+a*cosh(d*x+c)^2)^2-1/8*b*(7*a+3*b)*cosh(d*x+c)/a^2/(a+b)^2/d/(b+a*cosh(d*x+c)^2),1],
[csch(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x,5,15/8*sqrt(b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/(a+b)^(7/2)/d-coth(d*x+c)/(a+b)^3/d+1/4*b*tanh(d*x+c)/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2)^2+7/8*b*tanh(d*x+c)/(a+b)^3/d/(a+b-b*tanh(d*x+c)^2),1],
[csch(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x,7,-1/8*sqrt(b)*(15*a^2-10*a*b-b^2)*arctan(sqrt(a)*cosh(d*x+c)/sqrt(b))/a^(3/2)/(a+b)^4/d+1/2*(a-5*b)*arctanh(cosh(d*x+c))/(a+b)^4/d+1/4*(2*a-b)*b*cosh(d*x+c)/a/(a+b)^2/d/(b+a*cosh(d*x+c)^2)^2-1/8*(4*a^2-9*a*b-b^2)*cosh(d*x+c)/a/(a+b)^3/d/(b+a*cosh(d*x+c)^2)-1/2*cosh(d*x+c)*coth(d*x+c)^2/(a+b)/d/(b+a*cosh(d*x+c)^2)^2,1],
[csch(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x,6,-5/8*(3*a-4*b)*sqrt(b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/(a+b)^(9/2)/d+(a-2*b)*coth(d*x+c)/(a+b)^4/d-1/3*coth(d*x+c)^3/(a+b)^3/d-1/4*a*b*tanh(d*x+c)/(a+b)^3/d/(a+b-b*tanh(d*x+c)^2)^2-1/8*(7*a-4*b)*b*tanh(d*x+c)/(a+b)^4/d/(a+b-b*tanh(d*x+c)^2),1],
[cosh(d*x+c)^4*(a+b*sech(d*x+c)^2),x,3,1/8*(3*a+4*b)*x+1/8*(3*a+4*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*a*cosh(d*x+c)^3*sinh(d*x+c)/d,1],
[cosh(d*x+c)^3*(a+b*sech(d*x+c)^2),x,3,(a+b)*sinh(d*x+c)/d+1/3*a*sinh(d*x+c)^3/d,1],
[cosh(d*x+c)^2*(a+b*sech(d*x+c)^2),x,2,1/2*(a+2*b)*x+1/2*a*cosh(d*x+c)*sinh(d*x+c)/d,1],
[cosh(d*x+c)*(a+b*sech(d*x+c)^2),x,2,b*arctan(sinh(d*x+c))/d+a*sinh(d*x+c)/d,1],
[sech(d*x+c)*(a+b*sech(d*x+c)^2),x,2,1/2*(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*sech(d*x+c)^2),x,3,(a+b)*tanh(d*x+c)/d-1/3*b*tanh(d*x+c)^3/d,1],
[sech(d*x+c)^3*(a+b*sech(d*x+c)^2),x,3,1/8*(4*a+3*b)*arctan(sinh(d*x+c))/d+1/8*(4*a+3*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*sech(d*x+c)^2),x,3,(a+b)*tanh(d*x+c)/d-1/3*(a+2*b)*tanh(d*x+c)^3/d+1/5*b*tanh(d*x+c)^5/d,1],
[cosh(d*x+c)^4*(a+b*sech(d*x+c)^2)^2,x,4,1/8*(3*a^2+8*a*b+8*b^2)*x+1/8*a*(3*a+8*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*a^2*cosh(d*x+c)^3*sinh(d*x+c)/d,1],
[cosh(d*x+c)^3*(a+b*sech(d*x+c)^2)^2,x,4,b^2*arctan(sinh(d*x+c))/d+a*(a+2*b)*sinh(d*x+c)/d+1/3*a^2*sinh(d*x+c)^3/d,1],
[cosh(d*x+c)^2*(a+b*sech(d*x+c)^2)^2,x,4,1/2*a*(a+4*b)*x+1/2*a^2*cosh(d*x+c)*sinh(d*x+c)/d+b^2*tanh(d*x+c)/d,1],
[cosh(d*x+c)*(a+b*sech(d*x+c)^2)^2,x,4,1/2*b*(4*a+b)*arctan(sinh(d*x+c))/d+a^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*sech(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+3*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*sech(d*x+c)^2)^2,x,3,(a+b)^2*tanh(d*x+c)/d-2/3*b*(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*sech(d*x+c)^2)^2,x,5,1/16*(8*a^2+12*a*b+5*b^2)*arctan(sinh(d*x+c))/d+1/16*(8*a^2+12*a*b+5*b^2)*sech(d*x+c)*tanh(d*x+c)/d+1/24*b*(12*a+5*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*sech(d*x+c)^2)^2,x,3,(a+b)^2*tanh(d*x+c)/d-1/3*(a+b)*(a+3*b)*tanh(d*x+c)^3/d+1/5*b*(2*a+3*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*sech(d*x+c)^2)^3,x,5,3/8*a*(a^2+4*a*b+8*b^2)*x+3/8*a^2*(a+4*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*a^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*sech(d*x+c)^2)^3,x,5,1/2*b^2*(6*a+b)*arctan(sinh(d*x+c))/d+a^2*(a+3*b)*sinh(d*x+c)/d+1/3*a^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*sech(d*x+c)^2)^3,x,5,1/2*a^2*(a+6*b)*x+1/2*a^3*cosh(d*x+c)*sinh(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],
[cosh(d*x+c)*(a+b*sech(d*x+c)^2)^3,x,5,3/8*b*(8*a^2+4*a*b+b^2)*arctan(sinh(d*x+c))/d+a^3*sinh(d*x+c)/d+3/8*b^2*(4*a+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*sech(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+18*a*b+5*b^2)*sech(d*x+c)*tanh(d*x+c)/d+1/24*b^2*(18*a+5*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*sech(d*x+c)^2)^3,x,3,(a+b)^3*tanh(d*x+c)/d-b*(a+b)^2*tanh(d*x+c)^3/d+3/5*b^2*(a+b)*tanh(d*x+c)^5/d-1/7*b^3*tanh(d*x+c)^7/d,1],
[sech(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x,6,1/128*(64*a^3+144*a^2*b+120*a*b^2+35*b^3)*arctan(sinh(d*x+c))/d+1/128*(64*a^3+144*a^2*b+120*a*b^2+35*b^3)*sech(d*x+c)*tanh(d*x+c)/d+1/192*b*(144*a^2+120*a*b+35*b^2)*sech(d*x+c)^3*tanh(d*x+c)/d+1/48*b^2*(24*a+7*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*sech(d*x+c)^2)^3,x,3,(a+b)^3*tanh(d*x+c)/d-1/3*(a+b)^2*(a+4*b)*tanh(d*x+c)^3/d+3/5*b*(a+b)*(a+2*b)*tanh(d*x+c)^5/d-1/7*b^2*(3*a+4*b)*tanh(d*x+c)^7/d+1/9*b^3*tanh(d*x+c)^9/d,1],
[cosh(d*x+c)^4/(a+b*sech(d*x+c)^2),x,6,1/8*(3*a^2-4*a*b+8*b^2)*x/a^3-b^(5/2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^3/sqrt(a+b)/d+1/8*(3*a-4*b)*cosh(d*x+c)*sinh(d*x+c)/a^2/d+1/4*cosh(d*x+c)^3*sinh(d*x+c)/a/d,1],
[cosh(d*x+c)^3/(a+b*sech(d*x+c)^2),x,4,b^2*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/a^(5/2)/sqrt(a+b)/d+(a-b)*sinh(d*x+c)/a^2/d+1/3*sinh(d*x+c)^3/a/d,1],
[cosh(d*x+c)^2/(a+b*sech(d*x+c)^2),x,5,1/2*(a-2*b)*x/a^2+b^(3/2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^2/sqrt(a+b)/d+1/2*cosh(d*x+c)*sinh(d*x+c)/a/d,1],
[cosh(d*x+c)/(a+b*sech(d*x+c)^2),x,3,-b*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/a^(3/2)/sqrt(a+b)/d+sinh(d*x+c)/a/d,1],
[sech(d*x+c)/(a+b*sech(d*x+c)^2),x,2,arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/sqrt(a)/sqrt(a+b)/d,1],
[sech(d*x+c)^2/(a+b*sech(d*x+c)^2),x,2,arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/sqrt(b)/sqrt(a+b)/d,1],
[sech(d*x+c)^3/(a+b*sech(d*x+c)^2),x,4,arctan(sinh(d*x+c))/b/d-sqrt(a)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/b/sqrt(a+b)/d,1],
[sech(d*x+c)^4/(a+b*sech(d*x+c)^2),x,3,-a*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/b^(3/2)/sqrt(a+b)/d+tanh(d*x+c)/b/d,1],
[sech(d*x+c)^5/(a+b*sech(d*x+c)^2),x,5,-1/2*(2*a-b)*arctan(sinh(d*x+c))/b^2/d+a^(3/2)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/b^2/sqrt(a+b)/d+1/2*sech(d*x+c)*tanh(d*x+c)/b/d,1],
[sech(d*x+c)^6/(a+b*sech(d*x+c)^2),x,4,a^2*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/b^(5/2)/sqrt(a+b)/d-(a-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*sech(d*x+c)^2)^2,x,5,1/2*b^2*(6*a+5*b)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/a^(7/2)/(a+b)^(3/2)/d+(a-2*b)*sinh(d*x+c)/a^3/d+1/3*sinh(d*x+c)^3/a^2/d-1/2*b^3*sinh(d*x+c)/a^3/(a+b)/d/(a+b+a*sinh(d*x+c)^2),1],
[cosh(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x,6,1/2*(a-4*b)*x/a^3+1/2*b^(3/2)*(5*a+4*b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^3/(a+b)^(3/2)/d+1/2*cosh(d*x+c)*sinh(d*x+c)/a/d/(a+b-b*tanh(d*x+c)^2)+1/2*b*(a+2*b)*tanh(d*x+c)/a^2/(a+b)/d/(a+b-b*tanh(d*x+c)^2),1],
[cosh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x,4,-1/2*b*(4*a+3*b)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/a^(5/2)/(a+b)^(3/2)/d+sinh(d*x+c)/a^2/d+1/2*b^2*sinh(d*x+c)/a^2/(a+b)/d/(a+b+a*sinh(d*x+c)^2),1],
[sech(d*x+c)/(a+b*sech(d*x+c)^2)^2,x,3,1/2*(2*a+b)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/a^(3/2)/(a+b)^(3/2)/d-1/2*b*sinh(d*x+c)/a/(a+b)/d/(a+b+a*sinh(d*x+c)^2),1],
[sech(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x,3,1/2*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/sqrt(b)/(a+b)^(3/2)/d+1/2*tanh(d*x+c)/(a+b)/d/(a+b-b*tanh(d*x+c)^2),1],
[sech(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x,3,1/2*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/sqrt(a)/(a+b)^(3/2)/d+1/2*sinh(d*x+c)/(a+b)/d/(a+b+a*sinh(d*x+c)^2),1],
[sech(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x,3,1/2*(a+2*b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/b^(3/2)/(a+b)^(3/2)/d-1/2*a*tanh(d*x+c)/b/(a+b)/d/(a+b-b*tanh(d*x+c)^2),1],
[sech(d*x+c)^5/(a+b*sech(d*x+c)^2)^2,x,5,arctan(sinh(d*x+c))/b^2/d-1/2*sqrt(a)*(2*a+3*b)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/b^2/(a+b)^(3/2)/d-1/2*a*sinh(d*x+c)/b/(a+b)/d/(a+b+a*sinh(d*x+c)^2),1],
[sech(d*x+c)^6/(a+b*sech(d*x+c)^2)^2,x,4,-1/2*a*(3*a+4*b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/b^(5/2)/(a+b)^(3/2)/d+tanh(d*x+c)/b^2/d+1/2*a^2*tanh(d*x+c)/b^2/(a+b)/d/(a+b-b*tanh(d*x+c)^2),1],
[sech(d*x+c)^7/(a+b*sech(d*x+c)^2)^2,x,6,-1/2*(4*a-b)*arctan(sinh(d*x+c))/b^3/d+1/2*a^(3/2)*(4*a+5*b)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/b^3/(a+b)^(3/2)/d+1/2*a*(2*a+b)*sinh(d*x+c)/b^2/(a+b)/d/(a+b+a*sinh(d*x+c)^2)+1/2*sech(d*x+c)*tanh(d*x+c)/b/d/(a+b+a*sinh(d*x+c)^2),1],
[cosh(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x,7,1/2*(a-6*b)*x/a^4+1/8*b^(3/2)*(35*a^2+56*a*b+24*b^2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^4/(a+b)^(5/2)/d+1/2*cosh(d*x+c)*sinh(d*x+c)/a/d/(a+b-b*tanh(d*x+c)^2)^2+1/4*b*(2*a+3*b)*tanh(d*x+c)/a^2/(a+b)/d/(a+b-b*tanh(d*x+c)^2)^2+1/8*b*(4*a+3*b)*(a+4*b)*tanh(d*x+c)/a^3/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2),1],
[cosh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x,6,-3/8*b*(4*(a+b)^2+(2*a+b)^2)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/a^(7/2)/(a+b)^(5/2)/d+sinh(d*x+c)/a^3/d-1/4*b^3*sinh(d*x+c)/a^3/(a+b)/d/(a+b+a*sinh(d*x+c)^2)^2+3/8*b^2*(4*a+3*b)*sinh(d*x+c)/a^3/(a+b)^2/d/(a+b+a*sinh(d*x+c)^2),1],
[sech(d*x+c)/(a+b*sech(d*x+c)^2)^3,x,4,1/8*(8*a^2+8*a*b+3*b^2)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/a^(5/2)/(a+b)^(5/2)/d+1/4*b^2*sinh(d*x+c)/a^2/(a+b)/d/(a+b+a*sinh(d*x+c)^2)^2-1/8*b*(8*a+5*b)*sinh(d*x+c)/a^2/(a+b)^2/d/(a+b+a*sinh(d*x+c)^2),1],
[sech(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x,4,3/8*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/sqrt(b)/(a+b)^(5/2)/d+1/4*tanh(d*x+c)/(a+b)/d/(a+b-b*tanh(d*x+c)^2)^2+3/8*tanh(d*x+c)/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2),1],
[sech(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x,4,1/8*(4*a+b)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/a^(3/2)/(a+b)^(5/2)/d-1/4*b*sinh(d*x+c)/a/(a+b)/d/(a+b+a*sinh(d*x+c)^2)^2+1/8*(4*a+b)*sinh(d*x+c)/a/(a+b)^2/d/(a+b+a*sinh(d*x+c)^2),1],
[sech(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x,4,1/8*(a+4*b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/b^(3/2)/(a+b)^(5/2)/d-1/4*a*tanh(d*x+c)/b/(a+b)/d/(a+b-b*tanh(d*x+c)^2)^2+1/8*(a+4*b)*tanh(d*x+c)/b/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2),1],
[sech(d*x+c)^5/(a+b*sech(d*x+c)^2)^3,x,4,3/8*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/sqrt(a)/(a+b)^(5/2)/d+1/4*sinh(d*x+c)/(a+b)/d/(a+b+a*sinh(d*x+c)^2)^2+3/8*sinh(d*x+c)/(a+b)^2/d/(a+b+a*sinh(d*x+c)^2),1],
[sech(d*x+c)^6/(a+b*sech(d*x+c)^2)^3,x,4,1/8*(3*a^2+8*a*b+8*b^2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/b^(5/2)/(a+b)^(5/2)/d+1/4*a^2*tanh(d*x+c)/b^2/(a+b)/d/(a+b-b*tanh(d*x+c)^2)^2-1/8*a*(5*a+8*b)*tanh(d*x+c)/b^2/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2),1],
[sech(d*x+c)^7/(a+b*sech(d*x+c)^2)^3,x,6,arctan(sinh(d*x+c))/b^3/d-1/8*sqrt(a)*(8*a^2+20*a*b+15*b^2)*arctan(sqrt(a)*sinh(d*x+c)/sqrt(a+b))/b^3/(a+b)^(5/2)/d-1/4*a*sinh(d*x+c)/b/(a+b)/d/(a+b+a*sinh(d*x+c)^2)^2-1/8*a*(4*a+7*b)*sinh(d*x+c)/b^2/(a+b)^2/d/(a+b+a*sinh(d*x+c)^2),1],
[(a+b*sech(d*x+c)^2)*tanh(d*x+c)^4,x,5,a*x-a*tanh(d*x+c)/d-1/3*a*tanh(d*x+c)^3/d+1/5*b*tanh(d*x+c)^5/d,1],
[(a+b*sech(d*x+c)^2)*tanh(d*x+c)^3,x,4,a*ln(cosh(d*x+c))/d+1/2*(a-b)*sech(d*x+c)^2/d+1/4*b*sech(d*x+c)^4/d,1],
[(a+b*sech(d*x+c)^2)*tanh(d*x+c)^2,x,5,a*x-a*tanh(d*x+c)/d+1/3*b*tanh(d*x+c)^3/d,1],
[(a+b*sech(d*x+c)^2)*tanh(d*x+c),x,4,a*ln(cosh(d*x+c))/d-1/2*b*sech(d*x+c)^2/d,1],
[a+b*sech(d*x+c)^2,x,3,a*x+b*tanh(d*x+c)/d,1],
[coth(d*x+c)*(a+b*sech(d*x+c)^2),x,4,-b*ln(cosh(d*x+c))/d+(a+b)*ln(sinh(d*x+c))/d,1],
[coth(d*x+c)^2*(a+b*sech(d*x+c)^2),x,4,a*x-(a+b)*coth(d*x+c)/d,1],
[coth(d*x+c)^3*(a+b*sech(d*x+c)^2),x,4,-1/2*(a+b)*csch(d*x+c)^2/d+a*ln(sinh(d*x+c))/d,1],
[coth(d*x+c)^4*(a+b*sech(d*x+c)^2),x,5,a*x-a*coth(d*x+c)/d-1/3*(a+b)*coth(d*x+c)^3/d,1],
[coth(d*x+c)^5*(a+b*sech(d*x+c)^2),x,4,-1/2*(2*a+b)*csch(d*x+c)^2/d-1/4*(a+b)*csch(d*x+c)^4/d+a*ln(sinh(d*x+c))/d,1],
[(a+b*sech(d*x+c)^2)^2*tanh(d*x+c)^4,x,5,a^2*x-a^2*tanh(d*x+c)/d-1/3*a^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],
[(a+b*sech(d*x+c)^2)^2*tanh(d*x+c)^3,x,4,a^2*ln(cosh(d*x+c))/d+1/2*a*(a-2*b)*sech(d*x+c)^2/d+1/4*(2*a-b)*b*sech(d*x+c)^4/d+1/6*b^2*sech(d*x+c)^6/d,1],
[(a+b*sech(d*x+c)^2)^2*tanh(d*x+c)^2,x,5,a^2*x-a^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],
[(a+b*sech(d*x+c)^2)^2*tanh(d*x+c),x,4,a^2*ln(cosh(d*x+c))/d-a*b*sech(d*x+c)^2/d-1/4*b^2*sech(d*x+c)^4/d,1],
[(a+b*sech(d*x+c)^2)^2,x,4,a^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*sech(d*x+c)^2)^2,x,4,-b*(2*a+b)*ln(cosh(d*x+c))/d+(a+b)^2*ln(sinh(d*x+c))/d+1/2*b^2*sech(d*x+c)^2/d,1],
[coth(d*x+c)^2*(a+b*sech(d*x+c)^2)^2,x,5,a^2*x-(a+b)^2*coth(d*x+c)/d-b^2*tanh(d*x+c)/d,1],
[coth(d*x+c)^3*(a+b*sech(d*x+c)^2)^2,x,4,-1/2*(a+b)^2*csch(d*x+c)^2/d+b^2*ln(cosh(d*x+c))/d+(a^2-b^2)*ln(sinh(d*x+c))/d,1],
[coth(d*x+c)^4*(a+b*sech(d*x+c)^2)^2,x,5,a^2*x-(a^2-b^2)*coth(d*x+c)/d-1/3*(a+b)^2*coth(d*x+c)^3/d,1],
[coth(d*x+c)^5*(a+b*sech(d*x+c)^2)^2,x,4,-a*(a+b)*csch(d*x+c)^2/d-1/4*(a+b)^2*csch(d*x+c)^4/d+a^2*ln(sinh(d*x+c))/d,1],
[coth(d*x+c)^6*(a+b*sech(d*x+c)^2)^2,x,5,a^2*x-a^2*coth(d*x+c)/d-1/3*(a^2-b^2)*coth(d*x+c)^3/d-1/5*(a+b)^2*coth(d*x+c)^5/d,1],
[coth(d*x+c)^7*(a+b*sech(d*x+c)^2)^2,x,5,-a*(a+b)*csch(d*x+c)^2/d-1/4*(a+b)^2*csch(d*x+c)^4/d-1/6*(b+a*cosh(d*x+c)^2)^3*csch(d*x+c)^6/(a+b)/d+a^2*ln(sinh(d*x+c))/d,1],
[(a+b*sech(d*x+c)^2)^3*tanh(d*x+c)^4,x,5,a^3*x-a^3*tanh(d*x+c)/d-1/3*a^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+2*b)*tanh(d*x+c)^7/d+1/9*b^3*tanh(d*x+c)^9/d,1],
[(a+b*sech(d*x+c)^2)^3*tanh(d*x+c)^3,x,5,a^3*ln(cosh(d*x+c))/d-3/2*a^2*b*sech(d*x+c)^2/d-3/4*a*b^2*sech(d*x+c)^4/d-1/6*b^3*sech(d*x+c)^6/d+1/8*(b+a*cosh(d*x+c)^2)^4*sech(d*x+c)^8/b/d,1],
[(a+b*sech(d*x+c)^2)^3*tanh(d*x+c)^2,x,5,a^3*x-a^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+2*b)*tanh(d*x+c)^5/d+1/7*b^3*tanh(d*x+c)^7/d,1],
[(a+b*sech(d*x+c)^2)^3*tanh(d*x+c),x,4,a^3*ln(cosh(d*x+c))/d-3/2*a^2*b*sech(d*x+c)^2/d-3/4*a*b^2*sech(d*x+c)^4/d-1/6*b^3*sech(d*x+c)^6/d,1],
[(a+b*sech(d*x+c)^2)^3,x,4,a^3*x+b*(3*a^2+3*a*b+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],
[coth(d*x+c)*(a+b*sech(d*x+c)^2)^3,x,4,-b*(3*a^2+3*a*b+b^2)*ln(cosh(d*x+c))/d+(a+b)^3*ln(sinh(d*x+c))/d+1/2*b^2*(3*a+b)*sech(d*x+c)^2/d+1/4*b^3*sech(d*x+c)^4/d,1],
[coth(d*x+c)^2*(a+b*sech(d*x+c)^2)^3,x,5,a^3*x-(a+b)^3*coth(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],
[coth(d*x+c)^3*(a+b*sech(d*x+c)^2)^3,x,4,-1/2*(a+b)^3*csch(d*x+c)^2/d+b^2*(3*a+2*b)*ln(cosh(d*x+c))/d+(a-2*b)*(a+b)^2*ln(sinh(d*x+c))/d-1/2*b^3*sech(d*x+c)^2/d,1],
[coth(d*x+c)^4*(a+b*sech(d*x+c)^2)^3,x,5,a^3*x-(a-2*b)*(a+b)^2*coth(d*x+c)/d-1/3*(a+b)^3*coth(d*x+c)^3/d+b^3*tanh(d*x+c)/d,1],
[coth(d*x+c)^5*(a+b*sech(d*x+c)^2)^3,x,4,-1/2*(2*a-b)*(a+b)^2*csch(d*x+c)^2/d-1/4*(a+b)^3*csch(d*x+c)^4/d-b^3*ln(cosh(d*x+c))/d+(a^3+b^3)*ln(sinh(d*x+c))/d,1],
[coth(d*x+c)^6*(a+b*sech(d*x+c)^2)^3,x,5,a^3*x-(a^3+b^3)*coth(d*x+c)/d-1/3*(a-2*b)*(a+b)^2*coth(d*x+c)^3/d-1/5*(a+b)^3*coth(d*x+c)^5/d,1],
[coth(d*x+c)^7*(a+b*sech(d*x+c)^2)^3,x,4,-3/2*a^2*(a+b)*csch(d*x+c)^2/d-3/4*a*(a+b)^2*csch(d*x+c)^4/d-1/6*(a+b)^3*csch(d*x+c)^6/d+a^3*ln(sinh(d*x+c))/d,1],
[(a+b*sech(d*x+c)^2)^4,x,4,a^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+8*a*b+3*b^2)*tanh(d*x+c)^3/d+1/5*b^3*(4*a+3*b)*tanh(d*x+c)^5/d-1/7*b^4*tanh(d*x+c)^7/d,1],
[(a+b*sech(d*x+c)^2)^5,x,4,a^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+20*a^2*b+15*a*b^2+4*b^3)*tanh(d*x+c)^3/d+1/5*b^3*(10*a^2+15*a*b+6*b^2)*tanh(d*x+c)^5/d-1/7*b^4*(5*a+4*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*sech(d*x+c)^2),x,4,-(a+2*b)*ln(cosh(d*x+c))/b^2/d+1/2*(a+b)^2*ln(b+a*cosh(d*x+c)^2)/a/b^2/d-1/2*sech(d*x+c)^2/b/d,1],
[tanh(d*x+c)^4/(a+b*sech(d*x+c)^2),x,6,x/a-(a+b)^(3/2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a/b^(3/2)/d+tanh(d*x+c)/b/d,1],
[tanh(d*x+c)^3/(a+b*sech(d*x+c)^2),x,4,-ln(cosh(d*x+c))/b/d+1/2*(a+b)*ln(b+a*cosh(d*x+c)^2)/a/b/d,1],
[tanh(d*x+c)^2/(a+b*sech(d*x+c)^2),x,5,x/a-sqrt(a+b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a/sqrt(b)/d,1],
[tanh(d*x+c)/(a+b*sech(d*x+c)^2),x,2,1/2*ln(b+a*cosh(d*x+c)^2)/a/d,1],
[1/(a+b*sech(d*x+c)^2),x,3,x/a-sqrt(b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a/sqrt(a+b)/d,1],
[coth(d*x+c)/(a+b*sech(d*x+c)^2),x,4,1/2*b*ln(b+a*cosh(d*x+c)^2)/a/(a+b)/d+ln(sinh(d*x+c))/(a+b)/d,1],
[coth(d*x+c)^2/(a+b*sech(d*x+c)^2),x,6,x/a-b^(3/2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a/(a+b)^(3/2)/d-coth(d*x+c)/(a+b)/d,1],
[coth(d*x+c)^3/(a+b*sech(d*x+c)^2),x,4,-1/2*csch(d*x+c)^2/(a+b)/d+1/2*b^2*ln(b+a*cosh(d*x+c)^2)/a/(a+b)^2/d+(a+2*b)*ln(sinh(d*x+c))/(a+b)^2/d,1],
[coth(d*x+c)^4/(a+b*sech(d*x+c)^2),x,7,x/a-b^(5/2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a/(a+b)^(5/2)/d-(a+2*b)*coth(d*x+c)/(a+b)^2/d-1/3*coth(d*x+c)^3/(a+b)/d,1],
[tanh(d*x+c)^5/(a+b*sech(d*x+c)^2)^2,x,4,1/2*(a+b)^2/a^2/b/d/(b+a*cosh(d*x+c)^2)+ln(cosh(d*x+c))/b^2/d+1/2*(1/a^2-1/b^2)*ln(b+a*cosh(d*x+c)^2)/d,1],
[tanh(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x,6,x/a^2+1/2*(a-2*b)*sqrt(a+b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^2/b^(3/2)/d-1/2*(a+b)*tanh(d*x+c)/a/b/d/(a+b-b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x,4,1/2*(a+b)/a^2/d/(b+a*cosh(d*x+c)^2)+1/2*ln(b+a*cosh(d*x+c)^2)/a^2/d,1],
[tanh(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x,6,x/a^2-1/2*(a+2*b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^2/sqrt(b)/sqrt(a+b)/d-1/2*tanh(d*x+c)/a/d/(a+b-b*tanh(d*x+c)^2),1],
[tanh(d*x+c)/(a+b*sech(d*x+c)^2)^2,x,4,1/2*b/a^2/d/(b+a*cosh(d*x+c)^2)+1/2*ln(b+a*cosh(d*x+c)^2)/a^2/d,1],
[1/(a+b*sech(d*x+c)^2)^2,x,5,x/a^2-1/2*sqrt(b)*(3*a+2*b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^2/(a+b)^(3/2)/d-1/2*b*tanh(d*x+c)/a/(a+b)/d/(a+b-b*tanh(d*x+c)^2),1],
[coth(d*x+c)/(a+b*sech(d*x+c)^2)^2,x,4,1/2*b^2/a^2/(a+b)/d/(b+a*cosh(d*x+c)^2)+1/2*b*(2*a+b)*ln(b+a*cosh(d*x+c)^2)/a^2/(a+b)^2/d+ln(sinh(d*x+c))/(a+b)^2/d,1],
[coth(d*x+c)^2/(a+b*sech(d*x+c)^2)^2,x,7,x/a^2-1/2*b^(3/2)*(5*a+2*b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^2/(a+b)^(5/2)/d-1/2*(2*a-b)*coth(d*x+c)/a/(a+b)^2/d-1/2*b*coth(d*x+c)/a/(a+b)/d/(a+b-b*tanh(d*x+c)^2),1],
[coth(d*x+c)^3/(a+b*sech(d*x+c)^2)^2,x,4,1/2*b^3/a^2/(a+b)^2/d/(b+a*cosh(d*x+c)^2)-1/2*csch(d*x+c)^2/(a+b)^2/d+1/2*b^2*(3*a+b)*ln(b+a*cosh(d*x+c)^2)/a^2/(a+b)^3/d+(a+3*b)*ln(sinh(d*x+c))/(a+b)^3/d,1],
[coth(d*x+c)^4/(a+b*sech(d*x+c)^2)^2,x,8,x/a^2-1/2*b^(5/2)*(7*a+2*b)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^2/(a+b)^(7/2)/d-1/2*(2*a^2+6*a*b-b^2)*coth(d*x+c)/a/(a+b)^3/d-1/6*(2*a-3*b)*coth(d*x+c)^3/a/(a+b)^2/d-1/2*b*coth(d*x+c)^3/a/(a+b)/d/(a+b-b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^6/(a+b*sech(d*x+c)^2)^3,x,7,x/a^3-1/8*sqrt(a+b)*(3*a^2-4*a*b+8*b^2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^3/b^(5/2)/d-1/4*(a+b)*tanh(d*x+c)^3/a/b/d/(a+b-b*tanh(d*x+c)^2)^2+1/8*(3*a-4*b)*(a+b)*tanh(d*x+c)/a^2/b^2/d/(a+b-b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^5/(a+b*sech(d*x+c)^2)^3,x,4,-1/4*(a+b)^2/a^3/d/(b+a*cosh(d*x+c)^2)^2+(a+b)/a^3/d/(b+a*cosh(d*x+c)^2)+1/2*ln(b+a*cosh(d*x+c)^2)/a^3/d,1],
[tanh(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x,7,x/a^3+1/8*(a^2-4*a*b-8*b^2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^3/b^(3/2)/sqrt(a+b)/d-1/4*(a+b)*tanh(d*x+c)/a/b/d/(a+b-b*tanh(d*x+c)^2)^2+1/8*(a-4*b)*tanh(d*x+c)/a^2/b/d/(a+b-b*tanh(d*x+c)^2),1],
[tanh(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x,4,-1/4*b*(a+b)/a^3/d/(b+a*cosh(d*x+c)^2)^2+1/2*(a+2*b)/a^3/d/(b+a*cosh(d*x+c)^2)+1/2*ln(b+a*cosh(d*x+c)^2)/a^3/d,1],
[tanh(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x,7,x/a^3-1/8*(3*a^2+12*a*b+8*b^2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^3/sqrt(b)/(a+b)^(3/2)/d-1/4*tanh(d*x+c)/a/d/(a+b-b*tanh(d*x+c)^2)^2-1/8*(3*a+4*b)*tanh(d*x+c)/a^2/(a+b)/d/(a+b-b*tanh(d*x+c)^2),1],
[tanh(d*x+c)/(a+b*sech(d*x+c)^2)^3,x,4,-1/4*b^2/a^3/d/(b+a*cosh(d*x+c)^2)^2+b/a^3/d/(b+a*cosh(d*x+c)^2)+1/2*ln(b+a*cosh(d*x+c)^2)/a^3/d,1],
[1/(a+b*sech(d*x+c)^2)^3,x,6,x/a^3-1/8*sqrt(b)*(15*a^2+20*a*b+8*b^2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^3/(a+b)^(5/2)/d-1/4*b*tanh(d*x+c)/a/(a+b)/d/(a+b-b*tanh(d*x+c)^2)^2-1/8*b*(7*a+4*b)*tanh(d*x+c)/a^2/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2),1],
[coth(d*x+c)/(a+b*sech(d*x+c)^2)^3,x,4,-1/4*b^3/a^3/(a+b)/d/(b+a*cosh(d*x+c)^2)^2+1/2*b^2*(3*a+2*b)/a^3/(a+b)^2/d/(b+a*cosh(d*x+c)^2)+1/2*b*(3*a^2+3*a*b+b^2)*ln(b+a*cosh(d*x+c)^2)/a^3/(a+b)^3/d+ln(sinh(d*x+c))/(a+b)^3/d,1],
[coth(d*x+c)^2/(a+b*sech(d*x+c)^2)^3,x,8,x/a^3-1/8*b^(3/2)*(35*a^2+28*a*b+8*b^2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^3/(a+b)^(7/2)/d-1/8*(8*a^2-11*a*b-4*b^2)*coth(d*x+c)/a^2/(a+b)^3/d-1/4*b*coth(d*x+c)/a/(a+b)/d/(a+b-b*tanh(d*x+c)^2)^2-1/8*b*(9*a+4*b)*coth(d*x+c)/a^2/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2),1],
[coth(d*x+c)^3/(a+b*sech(d*x+c)^2)^3,x,4,-1/4*b^4/a^3/(a+b)^2/d/(b+a*cosh(d*x+c)^2)^2+b^3*(2*a+b)/a^3/(a+b)^3/d/(b+a*cosh(d*x+c)^2)-1/2*csch(d*x+c)^2/(a+b)^3/d+1/2*b^2*(6*a^2+4*a*b+b^2)*ln(b+a*cosh(d*x+c)^2)/a^3/(a+b)^4/d+(a+4*b)*ln(sinh(d*x+c))/(a+b)^4/d,1],
[coth(d*x+c)^4/(a+b*sech(d*x+c)^2)^3,x,9,x/a^3-1/8*b^(5/2)*(63*a^2+36*a*b+8*b^2)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^3/(a+b)^(9/2)/d-1/8*(8*a^3+32*a^2*b-15*a*b^2-4*b^3)*coth(d*x+c)/a^2/(a+b)^4/d-1/24*(8*a^2-39*a*b-12*b^2)*coth(d*x+c)^3/a^2/(a+b)^3/d-1/4*b*coth(d*x+c)^3/a/(a+b)/d/(a+b-b*tanh(d*x+c)^2)^2-1/8*b*(11*a+4*b)*coth(d*x+c)^3/a^2/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2),1],
[1/(a+b*sech(d*x+c)^2)^4,x,7,x/a^4-1/16*sqrt(b)*(35*a^3+70*a^2*b+56*a*b^2+16*b^3)*arctanh(sqrt(b)*tanh(d*x+c)/sqrt(a+b))/a^4/(a+b)^(7/2)/d-1/6*b*tanh(d*x+c)/a/(a+b)/d/(a+b-b*tanh(d*x+c)^2)^3-1/24*b*(11*a+6*b)*tanh(d*x+c)/a^2/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2)^2-1/16*b*(19*a^2+22*a*b+8*b^2)*tanh(d*x+c)/a^3/(a+b)^3/d/(a+b-b*tanh(d*x+c)^2),1],
[(1-sech(x)^2)^(3/2),x,4,coth(x)*ln(cosh(x))*sqrt(tanh(x)^2)-1/2*coth(x)*(tanh(x)^2)^(3/2),1],
[sqrt(1-sech(x)^2),x,3,coth(x)*ln(cosh(x))*sqrt(tanh(x)^2),1],
[1/sqrt(1-sech(x)^2),x,3,ln(sinh(x))*tanh(x)/sqrt(tanh(x)^2),1],
[(-1+sech(x)^2)^(3/2),x,4,-coth(x)*ln(cosh(x))*sqrt(-tanh(x)^2)+1/2*tanh(x)*sqrt(-tanh(x)^2),1],
[sqrt(-1+sech(x)^2),x,3,coth(x)*ln(cosh(x))*sqrt(-tanh(x)^2),1],
[1/sqrt(-1+sech(x)^2),x,3,ln(sinh(x))*tanh(x)/sqrt(-tanh(x)^2),1],
[sqrt(a+b*sech(x)^2)*tanh(x)^5,x,7,sqrt(a)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))-sqrt(a+b*sech(x)^2)+1/3*(a+2*b)*(a+b*sech(x)^2)^(3/2)/b^2-1/5*(a+b*sech(x)^2)^(5/2)/b^2,1],
[sqrt(a+b*sech(x)^2)*tanh(x)^4,x,9,-1/8*(a^2+6*a*b-3*b^2)*arctan(sqrt(b)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/b^(3/2)+sqrt(a)*arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))+1/8*(a-3*b)*tanh(x)*sqrt(a+b-b*tanh(x)^2)/b-1/4*tanh(x)^3*sqrt(a+b-b*tanh(x)^2),1],
[sqrt(a+b*sech(x)^2)*tanh(x)^3,x,6,sqrt(a)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))-sqrt(a+b*sech(x)^2)+1/3*(a+b*sech(x)^2)^(3/2)/b,1],
[sqrt(a+b*sech(x)^2)*tanh(x)^2,x,8,-1/2*(a-b)*arctan(sqrt(b)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/sqrt(b)+sqrt(a)*arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))-1/2*tanh(x)*sqrt(a+b-b*tanh(x)^2),1],
[sqrt(a+b*sech(x)^2)*tanh(x),x,5,sqrt(a)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))-sqrt(a+b*sech(x)^2),1],
[sqrt(a+b*sech(x)^2),x,6,sqrt(b)*arctan(sqrt(b)*tanh(x)/sqrt(a+b-b*tanh(x)^2))+sqrt(a)*arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2)),1],
[coth(x)*sqrt(a+b*sech(x)^2),x,7,sqrt(a)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))-sqrt(a+b)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a+b)),1],
[coth(x)^2*sqrt(a+b*sech(x)^2),x,6,sqrt(a)*arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))-coth(x)*sqrt(a+b-b*tanh(x)^2),1],
[coth(x)^3*sqrt(a+b*sech(x)^2),x,8,sqrt(a)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))-1/2*(2*a+b)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a+b))/sqrt(a+b)-1/2*coth(x)^2*sqrt(a+b*sech(x)^2),1],
[coth(x)^4*sqrt(a+b*sech(x)^2),x,7,sqrt(a)*arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))-(3*a+2*b)*coth(x)*sqrt(a+b-b*tanh(x)^2)/(3*a+3*b)-1/3*coth(x)^3*sqrt(a+b-b*tanh(x)^2),1],
[coth(x)^5*sqrt(a+b*sech(x)^2),x,9,sqrt(a)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))-1/8*(8*a^2+12*a*b+3*b^2)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a+b))/(a+b)^(3/2)-(4*a+3*b)*coth(x)^2*sqrt(a+b*sech(x)^2)/(8*a+8*b)-1/4*coth(x)^4*sqrt(a+b*sech(x)^2),1],
[(a+b*sech(x)^2)^(3/2)*tanh(x)^3,x,7,a^(3/2)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))-a*sqrt(a+b*sech(x)^2)-1/3*(a+b*sech(x)^2)^(3/2)+1/5*(a+b*sech(x)^2)^(5/2)/b,1],
[(a+b*sech(x)^2)^(3/2)*tanh(x)^2,x,9,-1/8*(3*a^2-6*a*b-b^2)*arctan(sqrt(b)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/sqrt(b)+a^(3/2)*arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))-1/8*(5*a+b)*tanh(x)*sqrt(a+b-b*tanh(x)^2)+1/4*b*tanh(x)^3*sqrt(a+b-b*tanh(x)^2),1],
[(a+b*sech(x)^2)^(3/2)*tanh(x),x,6,a^(3/2)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))-a*sqrt(a+b*sech(x)^2)-1/3*(a+b*sech(x)^2)^(3/2),1],
[(a+b*sech(x)^2)^(3/2),x,7,1/2*sqrt(b)*(3*a+b)*arctan(sqrt(b)*tanh(x)/sqrt(a+b-b*tanh(x)^2))+a^(3/2)*arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))+1/2*b*tanh(x)*sqrt(a+b-b*tanh(x)^2),1],
[coth(x)*(a+b*sech(x)^2)^(3/2),x,8,a^(3/2)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))-(a+b)^(3/2)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a+b))+b*sqrt(a+b*sech(x)^2),1],
[coth(x)^2*(a+b*sech(x)^2)^(3/2),x,8,-b^(3/2)*arctan(sqrt(b)*tanh(x)/sqrt(a+b-b*tanh(x)^2))+a^(3/2)*arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))-(a+b)*coth(x)*sqrt(a+b-b*tanh(x)^2),1],
[(a+b*sech(d*x+c)^2)^(5/2),x,8,1/8*sqrt(b)*(15*a^2+10*a*b+3*b^2)*arctan(sqrt(b)*tanh(d*x+c)/sqrt(a+b-b*tanh(d*x+c)^2))/d+a^(5/2)*arctanh(sqrt(a)*tanh(d*x+c)/sqrt(a+b-b*tanh(d*x+c)^2))/d+1/8*b*(7*a+3*b)*tanh(d*x+c)*sqrt(a+b-b*tanh(d*x+c)^2)/d+1/4*b*tanh(d*x+c)*(a+b-b*tanh(d*x+c)^2)^(3/2)/d,1],
[tanh(x)^5/sqrt(a+b*sech(x)^2),x,6,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/sqrt(a)+(a+2*b)*sqrt(a+b*sech(x)^2)/b^2-1/3*(a+b*sech(x)^2)^(3/2)/b^2,1],
[tanh(x)^4/sqrt(a+b*sech(x)^2),x,8,-1/2*(a+3*b)*arctan(sqrt(b)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/b^(3/2)+arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/sqrt(a)+1/2*tanh(x)*sqrt(a+b-b*tanh(x)^2)/b,1],
[tanh(x)^3/sqrt(a+b*sech(x)^2),x,5,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/sqrt(a)+sqrt(a+b*sech(x)^2)/b,1],
[tanh(x)^2/sqrt(a+b*sech(x)^2),x,7,-arctan(sqrt(b)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/sqrt(b)+arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/sqrt(a),1],
[tanh(x)/sqrt(a+b*sech(x)^2),x,4,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/sqrt(a),1],
[1/sqrt(a+b*sech(x)^2),x,3,arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/sqrt(a),1],
[coth(x)/sqrt(a+b*sech(x)^2),x,7,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/sqrt(a)-arctanh(sqrt(a+b*sech(x)^2)/sqrt(a+b))/sqrt(a+b),1],
[coth(x)^2/sqrt(a+b*sech(x)^2),x,6,arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/sqrt(a)-coth(x)*sqrt(a+b-b*tanh(x)^2)/(a+b),1],
[coth(x)^3/sqrt(a+b*sech(x)^2),x,8,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/sqrt(a)-1/2*(2*a+3*b)*arctanh(sqrt(a+b*sech(x)^2)/sqrt(a+b))/(a+b)^(3/2)-coth(x)^2*sqrt(a+b*sech(x)^2)/(2*a+2*b),1],
[tanh(x)^5/(a+b*sech(x)^2)^(3/2),x,7,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/a^(3/2)-(a+b)^2/a/b^2/sqrt(a+b*sech(x)^2)-sqrt(a+b*sech(x)^2)/b^2,1],
[tanh(x)^4/(a+b*sech(x)^2)^(3/2),x,8,arctan(sqrt(b)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/b^(3/2)+arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/a^(3/2)-(a+b)*tanh(x)/a/b/sqrt(a+b-b*tanh(x)^2),1],
[tanh(x)^3/(a+b*sech(x)^2)^(3/2),x,5,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/a^(3/2)-(a+b)/a/b/sqrt(a+b*sech(x)^2),1],
[tanh(x)^2/(a+b*sech(x)^2)^(3/2),x,5,arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/a^(3/2)-tanh(x)/a/sqrt(a+b-b*tanh(x)^2),1],
[tanh(x)/(a+b*sech(x)^2)^(3/2),x,5,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/a^(3/2)-1/a/sqrt(a+b*sech(x)^2),1],
[1/(a+b*sech(x)^2)^(3/2),x,4,arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/a^(3/2)-b*tanh(x)/a/(a+b)/sqrt(a+b-b*tanh(x)^2),1],
[coth(x)/(a+b*sech(x)^2)^(3/2),x,8,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/a^(3/2)-arctanh(sqrt(a+b*sech(x)^2)/sqrt(a+b))/(a+b)^(3/2)-b/a/(a+b)/sqrt(a+b*sech(x)^2),1],
[coth(x)^2/(a+b*sech(x)^2)^(3/2),x,7,arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/a^(3/2)-b*coth(x)/a/(a+b)/sqrt(a+b-b*tanh(x)^2)-(a-b)*coth(x)*sqrt(a+b-b*tanh(x)^2)/a/(a+b)^2,1],
[tanh(x)^6/(a+b*sech(x)^2)^(5/2),x,9,-arctan(sqrt(b)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/b^(5/2)+arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/a^(5/2)-1/3*(a+b)*tanh(x)^3/a/b/(a+b-b*tanh(x)^2)^(3/2)-(1/a^2-1/b^2)*tanh(x)/sqrt(a+b-b*tanh(x)^2),1],
[tanh(x)^5/(a+b*sech(x)^2)^(5/2),x,6,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/a^(5/2)-1/3*(a+b)^2/a/b^2/(a+b*sech(x)^2)^(3/2)-(1/a^2-1/b^2)/sqrt(a+b*sech(x)^2),1],
[tanh(x)^4/(a+b*sech(x)^2)^(5/2),x,6,arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/a^(5/2)-1/3*(a+b)*tanh(x)/a/b/(a+b-b*tanh(x)^2)^(3/2)+1/3*(a-3*b)*tanh(x)/a^2/b/sqrt(a+b-b*tanh(x)^2),1],
[tanh(x)^3/(a+b*sech(x)^2)^(5/2),x,6,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/a^(5/2)-1/3*(a+b)/a/b/(a+b*sech(x)^2)^(3/2)-1/a^2/sqrt(a+b*sech(x)^2),1],
[tanh(x)^2/(a+b*sech(x)^2)^(5/2),x,6,arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/a^(5/2)-1/3*tanh(x)/a/(a+b-b*tanh(x)^2)^(3/2)-1/3*(2*a+3*b)*tanh(x)/a^2/(a+b)/sqrt(a+b-b*tanh(x)^2),1],
[tanh(x)/(a+b*sech(x)^2)^(5/2),x,6,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/a^(5/2)-1/3/a/(a+b*sech(x)^2)^(3/2)-1/a^2/sqrt(a+b*sech(x)^2),1],
[1/(a+b*sech(x)^2)^(5/2),x,5,arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/a^(5/2)-1/3*b*tanh(x)/a/(a+b)/(a+b-b*tanh(x)^2)^(3/2)-1/3*b*(5*a+3*b)*tanh(x)/a^2/(a+b)^2/sqrt(a+b-b*tanh(x)^2),1],
[coth(x)/(a+b*sech(x)^2)^(5/2),x,9,arctanh(sqrt(a+b*sech(x)^2)/sqrt(a))/a^(5/2)-arctanh(sqrt(a+b*sech(x)^2)/sqrt(a+b))/(a+b)^(5/2)-1/3*b/a/(a+b)/(a+b*sech(x)^2)^(3/2)-b*(2*a+b)/a^2/(a+b)^2/sqrt(a+b*sech(x)^2),1],
[coth(x)^2/(a+b*sech(x)^2)^(5/2),x,8,arctanh(sqrt(a)*tanh(x)/sqrt(a+b-b*tanh(x)^2))/a^(5/2)-1/3*b*coth(x)/a/(a+b)/(a+b-b*tanh(x)^2)^(3/2)-1/3*b*(7*a+3*b)*coth(x)/a^2/(a+b)^2/sqrt(a+b-b*tanh(x)^2)-1/3*(a-3*b)*(3*a+b)*coth(x)*sqrt(a+b-b*tanh(x)^2)/a^2/(a+b)^3,1],
[1/(a+b*sech(d*x+c)^2)^(7/2),x,6,arctanh(sqrt(a)*tanh(d*x+c)/sqrt(a+b-b*tanh(d*x+c)^2))/a^(7/2)/d-1/5*b*tanh(d*x+c)/a/(a+b)/d/(a+b-b*tanh(d*x+c)^2)^(5/2)-1/15*b*(9*a+5*b)*tanh(d*x+c)/a^2/(a+b)^2/d/(a+b-b*tanh(d*x+c)^2)^(3/2)-1/15*b*(33*a^2+40*a*b+15*b^2)*tanh(d*x+c)/a^3/(a+b)^3/d/sqrt(a+b-b*tanh(d*x+c)^2),1]]: