lst:=[[sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2),x,4,1/16*(6*a-5*b)*x-1/16*(6*a-5*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/24*(6*a-5*b)*cosh(d*x+c)*sinh(d*x+c)^3/d+1/6*b*cosh(d*x+c)*sinh(d*x+c)^5/d,1],
[sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2),x,3,-(a-b)*cosh(d*x+c)/d+1/3*(a-2*b)*cosh(d*x+c)^3/d+1/5*b*cosh(d*x+c)^5/d,1],
[sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2),x,3,-1/8*(4*a-3*b)*x+1/8*(4*a-3*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b*cosh(d*x+c)*sinh(d*x+c)^3/d,1],
[sinh(d*x+c)*(a+b*sinh(d*x+c)^2),x,2,(a-b)*cosh(d*x+c)/d+1/3*b*cosh(d*x+c)^3/d,1],
[a+b*sinh(d*x+c)^2,x,3,a*x-1/2*b*x+1/2*b*cosh(d*x+c)*sinh(d*x+c)/d,1],
[csch(d*x+c)*(a+b*sinh(d*x+c)^2),x,2,-a*arctanh(cosh(d*x+c))/d+b*cosh(d*x+c)/d,1],
[csch(d*x+c)^2*(a+b*sinh(d*x+c)^2),x,2,b*x-a*coth(d*x+c)/d,1],
[csch(d*x+c)^3*(a+b*sinh(d*x+c)^2),x,2,1/2*(a-2*b)*arctanh(cosh(d*x+c))/d-1/2*a*coth(d*x+c)*csch(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*sinh(d*x+c)^2),x,3,1/3*(2*a-3*b)*coth(d*x+c)/d-1/3*a*coth(d*x+c)*csch(d*x+c)^2/d,1],
[sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x,6,1/128*(48*a^2-80*a*b+35*b^2)*x-1/128*(80*a^2-176*a*b+93*b^2)*cosh(d*x+c)*sinh(d*x+c)/d+1/192*(48*a^2-208*a*b+163*b^2)*cosh(d*x+c)^3*sinh(d*x+c)/d+1/48*(16*a-25*b)*b*cosh(d*x+c)^5*sinh(d*x+c)/d+1/8*b^2*cosh(d*x+c)^7*sinh(d*x+c)/d,1],
[sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x,3,-(a-b)^2*cosh(d*x+c)/d+1/3*(a-3*b)*(a-b)*cosh(d*x+c)^3/d+1/5*(2*a-3*b)*b*cosh(d*x+c)^5/d+1/7*b^2*cosh(d*x+c)^7/d,1],
[sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x,2,-1/16*(8*a^2-12*a*b+5*b^2)*x+1/16*(8*a^2-20*a*b+11*b^2)*cosh(d*x+c)*sinh(d*x+c)/d+1/8*(4*a-3*b)*b*cosh(d*x+c)^3*sinh(d*x+c)/d+1/6*b^2*cosh(d*x+c)^3*sinh(d*x+c)^3/d,1],
[sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x,3,(a-b)^2*cosh(d*x+c)/d+2/3*(a-b)*b*cosh(d*x+c)^3/d+1/5*b^2*cosh(d*x+c)^5/d,1],
[(a+b*sinh(d*x+c)^2)^2,x,1,1/8*(8*a^2-8*a*b+3*b^2)*x+1/8*(8*a-3*b)*b*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b^2*cosh(d*x+c)*sinh(d*x+c)^3/d,1],
[csch(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x,4,-a^2*arctanh(cosh(d*x+c))/d+(2*a-b)*b*cosh(d*x+c)/d+1/3*b^2*cosh(d*x+c)^3/d,1],
[csch(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x,4,1/2*(4*a-b)*b*x-a^2*coth(d*x+c)/d+1/2*b^2*cosh(d*x+c)*sinh(d*x+c)/d,1],
[csch(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x,4,1/2*a*(a-4*b)*arctanh(cosh(d*x+c))/d+b^2*cosh(d*x+c)/d-1/2*a^2*coth(d*x+c)*csch(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x,4,b^2*x+a*(a-2*b)*coth(d*x+c)/d-1/3*a^2*coth(d*x+c)^3/d,1],
[sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x,7,3/256*(4*a-3*b)*(8*a^2-14*a*b+7*b^2)*x-1/256*(160*a^3-528*a^2*b+558*a*b^2-193*b^3)*cosh(d*x+c)*sinh(d*x+c)/d+1/128*(32*a^3-208*a^2*b+326*a*b^2-149*b^3)*cosh(d*x+c)^3*sinh(d*x+c)/d+1/160*b*(80*a^2-250*a*b+171*b^2)*cosh(d*x+c)^5*sinh(d*x+c)/d+1/80*(30*a-41*b)*b^2*cosh(d*x+c)^7*sinh(d*x+c)/d+1/10*b^3*cosh(d*x+c)^9*sinh(d*x+c)/d,1],
[sinh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x,3,-(a-b)^3*cosh(d*x+c)/d+1/3*(a-4*b)*(a-b)^2*cosh(d*x+c)^3/d+3/5*(a-2*b)*(a-b)*b*cosh(d*x+c)^5/d+1/7*(3*a-4*b)*b^2*cosh(d*x+c)^7/d+1/9*b^3*cosh(d*x+c)^9/d,1],
[sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x,3,-1/128*(64*a^3-144*a^2*b+120*a*b^2-35*b^3)*x+1/384*(96*a^3-376*a^2*b+360*a*b^2-105*b^3)*cosh(d*x+c)*sinh(d*x+c)/d+1/192*b*(24*a^2-64*a*b+35*b^2)*cosh(d*x+c)*sinh(d*x+c)^3/d+1/48*(6*a-7*b)*cosh(d*x+c)*sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^2/d+1/8*cosh(d*x+c)*sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^3/d,1],
[sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x,3,(a-b)^3*cosh(d*x+c)/d+(a-b)^2*b*cosh(d*x+c)^3/d+3/5*(a-b)*b^2*cosh(d*x+c)^5/d+1/7*b^3*cosh(d*x+c)^7/d,1],
[(a+b*sinh(d*x+c)^2)^3,x,2,1/16*(2*a-b)*(8*a^2-8*a*b+5*b^2)*x+1/48*b*(64*a^2-54*a*b+15*b^2)*cosh(d*x+c)*sinh(d*x+c)/d+5/24*(2*a-b)*b^2*cosh(d*x+c)*sinh(d*x+c)^3/d+1/6*b*cosh(d*x+c)*sinh(d*x+c)*(a+b*sinh(d*x+c)^2)^2/d,1],
[csch(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x,4,-a^3*arctanh(cosh(d*x+c))/d+b*(3*a^2-3*a*b+b^2)*cosh(d*x+c)/d+1/3*(3*a-2*b)*b^2*cosh(d*x+c)^3/d+1/5*b^3*cosh(d*x+c)^5/d,1],
[csch(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x,5,3/8*b*(8*a^2-4*a*b+b^2)*x-a^3*coth(d*x+c)/d+1/8*(12*a-5*b)*b^2*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b^3*cosh(d*x+c)^3*sinh(d*x+c)/d,1],
[csch(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x,5,1/2*a^2*(a-6*b)*arctanh(cosh(d*x+c))/d+(3*a-b)*b^2*cosh(d*x+c)/d+1/3*b^3*cosh(d*x+c)^3/d-1/2*a^3*coth(d*x+c)*csch(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x,5,1/2*(6*a-b)*b^2*x+a^2*(a-3*b)*coth(d*x+c)/d-1/3*a^3*coth(d*x+c)^3/d+1/2*b^3*cosh(d*x+c)*sinh(d*x+c)/d,1],
[sinh(d*x+c)^7/(a+b*sinh(d*x+c)^2),x,4,-a^3*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/sqrt(a-b)/b^(7/2)/d+(a^2+a*b+b^2)*cosh(d*x+c)/b^3/d-1/3*(a+2*b)*cosh(d*x+c)^3/b^2/d+1/5*cosh(d*x+c)^5/b/d,1],
[sinh(d*x+c)^6/(a+b*sinh(d*x+c)^2),x,6,1/8*(8*a^2+4*a*b+3*b^2)*x/b^3-a^(5/2)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a-b)/b^3/d-1/8*(4*a+3*b)*cosh(d*x+c)*sinh(d*x+c)/b^2/d+1/4*cosh(d*x+c)*sinh(d*x+c)^3/b/d,1],
[sinh(d*x+c)^5/(a+b*sinh(d*x+c)^2),x,4,a^2*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/sqrt(a-b)/b^(5/2)/d-(a+b)*cosh(d*x+c)/b^2/d+1/3*cosh(d*x+c)^3/b/d,1],
[sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2),x,5,-1/2*(2*a+b)*x/b^2+a^(3/2)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a-b)/b^2/d+1/2*cosh(d*x+c)*sinh(d*x+c)/b/d,1],
[sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2),x,3,-a*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/sqrt(a-b)/b^(3/2)/d+cosh(d*x+c)/b/d,1],
[sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2),x,3,x/b-sqrt(a)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a-b)/b/d,1],
[sinh(d*x+c)/(a+b*sinh(d*x+c)^2),x,2,arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/sqrt(a-b)/sqrt(b)/d,1],
[1/(a+b*sinh(d*x+c)^2),x,2,arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/sqrt(a-b)/d,1],
[csch(d*x+c)/(a+b*sinh(d*x+c)^2),x,4,-sqrt(b)*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/a/sqrt(a-b)/d-arctanh(cosh(d*x+c))/a/d,1],
[csch(d*x+c)^2/(a+b*sinh(d*x+c)^2),x,3,-b*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/sqrt(a-b)/d-coth(d*x+c)/a/d,1],
[csch(d*x+c)^3/(a+b*sinh(d*x+c)^2),x,5,b^(3/2)*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/a^2/sqrt(a-b)/d+1/2*(a+2*b)*arctanh(cosh(d*x+c))/a^2/d-1/2*coth(d*x+c)*csch(d*x+c)/a/d,1],
[csch(d*x+c)^4/(a+b*sinh(d*x+c)^2),x,4,b^2*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/sqrt(a-b)/d+(a+b)*coth(d*x+c)/a^2/d-1/3*coth(d*x+c)^3/a/d,1],
[csch(d*x+c)^5/(a+b*sinh(d*x+c)^2),x,6,-b^(5/2)*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/a^3/sqrt(a-b)/d-1/8*(3*a^2+4*a*b+8*b^2)*arctanh(cosh(d*x+c))/a^3/d+1/8*(3*a+4*b)*coth(d*x+c)*csch(d*x+c)/a^2/d-1/4*coth(d*x+c)*csch(d*x+c)^3/a/d,1],
[csch(d*x+c)^6/(a+b*sinh(d*x+c)^2),x,4,-b^3*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(7/2)/sqrt(a-b)/d-(a^2+a*b+b^2)*coth(d*x+c)/a^3/d+1/3*(2*a+b)*coth(d*x+c)^3/a^2/d-1/5*coth(d*x+c)^5/a/d,1],
[sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x,5,x/b^2-1/2*sqrt(a)*(2*a-3*b)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/(a-b)^(3/2)/b^2/d-1/2*a*tanh(d*x+c)/(a-b)/b/d/(a-(a-b)*tanh(d*x+c)^2),1],
[sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x,3,1/2*(a-2*b)*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/(a-b)^(3/2)/b^(3/2)/d-1/2*a*cosh(d*x+c)/(a-b)/b/d/(a-b+b*cosh(d*x+c)^2),1],
[sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x,4,-1/2*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/(a-b)^(3/2)/d+1/2*cosh(d*x+c)*sinh(d*x+c)/(a-b)/d/(a+b*sinh(d*x+c)^2),1],
[sinh(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x,3,1/2*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/(a-b)^(3/2)/sqrt(b)/d+1/2*cosh(d*x+c)/(a-b)/d/(a-b+b*cosh(d*x+c)^2),1],
[1/(a+b*sinh(d*x+c)^2)^2,x,4,1/2*(2*a-b)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/(a-b)^(3/2)/d-1/2*b*cosh(d*x+c)*sinh(d*x+c)/a/(a-b)/d/(a+b*sinh(d*x+c)^2),1],
[csch(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x,5,-1/2*(3*a-2*b)*sqrt(b)*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/a^2/(a-b)^(3/2)/d-arctanh(cosh(d*x+c))/a^2/d-1/2*b*cosh(d*x+c)/a/(a-b)/d/(a-b+b*cosh(d*x+c)^2),1],
[csch(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x,4,-1/2*(4*a-3*b)*b*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/(a-b)^(3/2)/d-coth(d*x+c)/a^2/d+1/2*b^2*tanh(d*x+c)/a^2/(a-b)/d/(a-(a-b)*tanh(d*x+c)^2),1],
[csch(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x,6,1/2*(5*a-4*b)*b^(3/2)*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/a^3/(a-b)^(3/2)/d+1/2*(a+4*b)*arctanh(cosh(d*x+c))/a^3/d-1/2*(a-2*b)*b*cosh(d*x+c)/a^2/(a-b)/d/(a-b+b*cosh(d*x+c)^2)-1/2*coth(d*x+c)*csch(d*x+c)/a/d/(a-b+b*cosh(d*x+c)^2),1],
[csch(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x,5,1/2*(6*a-5*b)*b^2*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(7/2)/(a-b)^(3/2)/d+(a+2*b)*coth(d*x+c)/a^3/d-1/3*coth(d*x+c)^3/a^2/d-1/2*b^3*tanh(d*x+c)/a^3/(a-b)/d/(a-(a-b)*tanh(d*x+c)^2),1],
[sinh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x,4,3/8*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/(a-b)^(5/2)/d+1/4*tanh(d*x+c)^3/(a-b)/d/(a-(a-b)*tanh(d*x+c)^2)^2-3/8*tanh(d*x+c)/(a-b)^2/d/(a-(a-b)*tanh(d*x+c)^2),1],
[sinh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x,4,1/8*(a-4*b)*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/(a-b)^(5/2)/b^(3/2)/d-1/4*a*cosh(d*x+c)/(a-b)/b/d/(a-b+b*cosh(d*x+c)^2)^2+1/8*(a-4*b)*cosh(d*x+c)/(a-b)^2/b/d/(a-b+b*cosh(d*x+c)^2),1],
[sinh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x,5,-1/8*(4*a-b)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/(a-b)^(5/2)/d+1/4*cosh(d*x+c)*sinh(d*x+c)/(a-b)/d/(a+b*sinh(d*x+c)^2)^2+1/8*(2*a+b)*cosh(d*x+c)*sinh(d*x+c)/a/(a-b)^2/d/(a+b*sinh(d*x+c)^2),1],
[sinh(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x,4,3/8*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/(a-b)^(5/2)/sqrt(b)/d+1/4*cosh(d*x+c)/(a-b)/d/(a-b+b*cosh(d*x+c)^2)^2+3/8*cosh(d*x+c)/(a-b)^2/d/(a-b+b*cosh(d*x+c)^2),1],
[1/(a+b*sinh(d*x+c)^2)^3,x,5,1/8*(8*a^2-8*a*b+3*b^2)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/(a-b)^(5/2)/d-1/4*b*cosh(d*x+c)*sinh(d*x+c)/a/(a-b)/d/(a+b*sinh(d*x+c)^2)^2-3/8*(2*a-b)*b*cosh(d*x+c)*sinh(d*x+c)/a^2/(a-b)^2/d/(a+b*sinh(d*x+c)^2),1],
[csch(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x,6,-1/8*sqrt(b)*(15*a^2-20*a*b+8*b^2)*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/a^3/(a-b)^(5/2)/d-arctanh(cosh(d*x+c))/a^3/d-1/4*b*cosh(d*x+c)/a/(a-b)/d/(a-b+b*cosh(d*x+c)^2)^2-1/8*(7*a-4*b)*b*cosh(d*x+c)/a^2/(a-b)^2/d/(a-b+b*cosh(d*x+c)^2),1],
[csch(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x,5,-3/8*b*(8*a^2-12*a*b+5*b^2)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(7/2)/(a-b)^(5/2)/d-coth(d*x+c)/a^3/d-1/4*b^3*tanh(d*x+c)/a^2/(a-b)^2/d/(a-(a-b)*tanh(d*x+c)^2)^2+1/8*(12*a-7*b)*b^2*tanh(d*x+c)/a^3/(a-b)^2/d/(a-(a-b)*tanh(d*x+c)^2),1],
[csch(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x,7,1/8*b^(3/2)*(35*a^2-56*a*b+24*b^2)*arctan(sqrt(b)*cosh(d*x+c)/sqrt(a-b))/a^4/(a-b)^(5/2)/d+1/2*(a+6*b)*arctanh(cosh(d*x+c))/a^4/d-1/4*(2*a-3*b)*b*cosh(d*x+c)/a^2/(a-b)/d/(a-b+b*cosh(d*x+c)^2)^2-1/8*(a-4*b)*(4*a-3*b)*b*cosh(d*x+c)/a^3/(a-b)^2/d/(a-b+b*cosh(d*x+c)^2)-1/2*coth(d*x+c)*csch(d*x+c)/a/d/(a-b+b*cosh(d*x+c)^2)^2,1],
[csch(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x,7,1/8*b^2*(48*a^2-80*a*b+35*b^2)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(9/2)/(a-b)^(5/2)/d+(a+3*b)*coth(d*x+c)/a^4/d-1/3*coth(d*x+c)^3/a^3/d+1/4*b^4*tanh(d*x+c)/a^3/(a-b)^2/d/(a-(a-b)*tanh(d*x+c)^2)^2-1/8*(16*a-11*b)*b^3*tanh(d*x+c)/a^4/(a-b)^2/d/(a-(a-b)*tanh(d*x+c)^2),1],
[sinh(f*x+e)^3*sqrt(a+b*sinh(f*x+e)^2),x,5,-1/8*(a-b)*(a+3*b)*arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/b^(3/2)/f-1/8*(a+3*b)*cosh(f*x+e)*sqrt(a-b+b*cosh(f*x+e)^2)/b/f+1/4*cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^(3/2)/b/f,1],
[sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2),x,4,1/2*(a-b)*arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/sqrt(b)/f+1/2*cosh(f*x+e)*sqrt(a-b+b*cosh(f*x+e)^2)/f,1],
[csch(f*x+e)*sqrt(a+b*sinh(f*x+e)^2),x,6,-sqrt(a)*arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/f+sqrt(b)*arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/f,1],
[csch(f*x+e)^3*sqrt(a+b*sinh(f*x+e)^2),x,4,1/2*(a-b)*arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/sqrt(a)/f-1/2*sqrt(a-b+b*cosh(f*x+e)^2)*coth(f*x+e)*csch(f*x+e)/f,1],
[csch(f*x+e)^5*sqrt(a+b*sinh(f*x+e)^2),x,5,-1/8*(a-b)*(3*a+b)*arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/a^(3/2)/f+1/8*(3*a-b)*sqrt(a-b+b*cosh(f*x+e)^2)*coth(f*x+e)*csch(f*x+e)/a/f-1/4*sqrt(a-b+b*cosh(f*x+e)^2)*coth(f*x+e)*csch(f*x+e)^3/f,1],
[sinh(f*x+e)^4*sqrt(a+b*sinh(f*x+e)^2),x,7,1/15*(a-4*b)*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f+1/5*cosh(f*x+e)*sinh(f*x+e)^3*sqrt(a+b*sinh(f*x+e)^2)/f+1/15*(2*a^2+3*a*b-8*b^2)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/15*(a-4*b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/15*(2*a^2+3*a*b-8*b^2)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/b^2/f,1],
[sinh(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2),x,6,1/3*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-1/3*I*(a-2*b)*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt((a+b*sinh(f*x+e)^2)/a)+1/3*I*a*(a-b)*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/b/f/sqrt(a+b*sinh(f*x+e)^2),1],
[sqrt(a+b*sinh(f*x+e)^2),x,2,-I*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt((a+b*sinh(f*x+e)^2)/a),1],
[csch(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2),x,3,-csch(f*x+e)*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+b*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a),1],
[csch(f*x+e)^4*sqrt(a+b*sinh(f*x+e)^2),x,4,-1/3*coth(f*x+e)*csch(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)/f+1/3*(2*a-b)*csch(f*x+e)*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f+1/3*(2*a-b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/3*b*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a),1],
[sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x,6,-1/16*(a-b)^2*(a+5*b)*arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/b^(3/2)/f-1/16*(a-b)*(a+5*b)*cosh(f*x+e)*sqrt(a-b+b*cosh(f*x+e)^2)/b/f-1/24*(a+5*b)*cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^(3/2)/b/f+1/6*cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^(5/2)/b/f,1],
[sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x,5,3/8*(a-b)^2*arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/sqrt(b)/f+3/8*(a-b)*cosh(f*x+e)*sqrt(a-b+b*cosh(f*x+e)^2)/f+1/4*cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^(3/2)/f,1],
[csch(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x,7,-a^(3/2)*arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/f+1/2*(3*a-b)*sqrt(b)*arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/f+1/2*b*cosh(f*x+e)*sqrt(a-b+b*cosh(f*x+e)^2)/f,1],
[csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x,7,1/2*sqrt(a)*(a-3*b)*arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/f+b^(3/2)*arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/f-1/2*a*sqrt(a-b+b*cosh(f*x+e)^2)*coth(f*x+e)*csch(f*x+e)/f,1],
[csch(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x,5,-3/8*(a-b)^2*arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/sqrt(a)/f+3/8*(a-b)*sqrt(a-b+b*cosh(f*x+e)^2)*coth(f*x+e)*csch(f*x+e)/f-1/4*(a-b+b*cosh(f*x+e)^2)^(3/2)*coth(f*x+e)*csch(f*x+e)^3/f,1],
[csch(f*x+e)^7*(a+b*sinh(f*x+e)^2)^(3/2),x,6,1/16*(a-b)^2*(5*a+b)*arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/a^(3/2)/f-1/16*(a-b)*(5*a+b)*sqrt(a-b+b*cosh(f*x+e)^2)*coth(f*x+e)*csch(f*x+e)/a/f+1/24*(5*a+b)*(a-b+b*cosh(f*x+e)^2)^(3/2)*coth(f*x+e)*csch(f*x+e)^3/a/f-1/6*(a-b+b*cosh(f*x+e)^2)^(5/2)*coth(f*x+e)*csch(f*x+e)^5/a/f,1],
[sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x,8,1/35*(a^2-11*a*b+8*b^2)*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f+2/35*(4*a-3*b)*cosh(f*x+e)*sinh(f*x+e)^3*sqrt(a+b*sinh(f*x+e)^2)/f+1/7*b*cosh(f*x+e)*sinh(f*x+e)^5*sqrt(a+b*sinh(f*x+e)^2)/f+2/35*(a-2*b)*(a^2+4*a*b-4*b^2)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/35*(a^2-11*a*b+8*b^2)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-2/35*(a-2*b)*(a^2+4*a*b-4*b^2)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/b^2/f,1],
[sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x,7,1/15*(3*a-4*b)*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f+1/5*cosh(f*x+e)*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2)/f-1/15*I*(3*a^2-13*a*b+8*b^2)*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt((a+b*sinh(f*x+e)^2)/a)+1/15*I*a*(3*a-4*b)*(a-b)*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/b/f/sqrt(a+b*sinh(f*x+e)^2),1],
[(a+b*sinh(f*x+e)^2)^(3/2),x,6,1/3*b*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-2/3*I*(2*a-b)*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt((a+b*sinh(f*x+e)^2)/a)+1/3*I*a*(a-b)*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x,6,-a*coth(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-(a+b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+2*b*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+(a+b)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x,4,-1/3*a*coth(f*x+e)*csch(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)/f+2/3*(a-2*b)*csch(f*x+e)*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f+2/3*(a-2*b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/3*(a-3*b)*b*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a),1],
[sinh(f*x+e)^3/sqrt(a+b*sinh(f*x+e)^2),x,4,-1/2*(a+b)*arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/b^(3/2)/f+1/2*cosh(f*x+e)*sqrt(a-b+b*cosh(f*x+e)^2)/b/f,1],
[sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2),x,3,arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/sqrt(b)/f,1],
[csch(f*x+e)/sqrt(a+b*sinh(f*x+e)^2),x,3,-arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/sqrt(a)/f,1],
[csch(f*x+e)^3/sqrt(a+b*sinh(f*x+e)^2),x,4,1/2*(a+b)*arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/a^(3/2)/f-1/2*sqrt(a-b+b*cosh(f*x+e)^2)*coth(f*x+e)*csch(f*x+e)/a/f,1],
[sinh(f*x+e)^4/sqrt(a+b*sinh(f*x+e)^2),x,6,1/3*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f+2/3*(a+b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/3*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-2/3*(a+b)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/b^2/f,1],
[sinh(f*x+e)^2/sqrt(a+b*sinh(f*x+e)^2),x,5,-I*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt((a+b*sinh(f*x+e)^2)/a)+I*a*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/b/f/sqrt(a+b*sinh(f*x+e)^2),1],
[1/sqrt(a+b*sinh(f*x+e)^2),x,2,-I*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[csch(f*x+e)^2/sqrt(a+b*sinh(f*x+e)^2),x,5,-coth(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f-EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/a/f,1],
[csch(f*x+e)^4/sqrt(a+b*sinh(f*x+e)^2),x,4,-1/3*coth(f*x+e)*csch(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)/a/f+2/3*(a+b)*csch(f*x+e)*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^2/f+2/3*(a+b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/3*b*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a),1],
[sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x,4,arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/b^(3/2)/f-a*cosh(f*x+e)/(a-b)/b/f/sqrt(a-b+b*cosh(f*x+e)^2),1],
[sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x,2,cosh(f*x+e)/(a-b)/f/sqrt(a-b+b*cosh(f*x+e)^2),1],
[csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x,4,-arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/a^(3/2)/f-b*cosh(f*x+e)/a/(a-b)/f/sqrt(a-b+b*cosh(f*x+e)^2),1],
[csch(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x,5,1/2*(a+3*b)*arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/a^(5/2)/f-1/2*(a-3*b)*b*cosh(f*x+e)/a^2/(a-b)/f/sqrt(a-b+b*cosh(f*x+e)^2)-1/2*coth(f*x+e)*csch(f*x+e)/a/f/sqrt(a-b+b*cosh(f*x+e)^2),1],
[sinh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(3/2),x,7,-a*cosh(f*x+e)*sinh(f*x+e)^3/(a-b)/b/f/sqrt(a+b*sinh(f*x+e)^2)+1/3*(4*a-b)*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/b^2/f+1/3*(8*a^2-3*a*b-2*b^2)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/b^3/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/3*(4*a-b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/b^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/3*(8*a^2-3*a*b-2*b^2)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/(a-b)/b^3/f,1],
[sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x,6,-a*cosh(f*x+e)*sinh(f*x+e)/(a-b)/b/f/sqrt(a+b*sinh(f*x+e)^2)-(2*a-b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/b^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/b/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+(2*a-b)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/(a-b)/b^2/f,1],
[sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x,6,cosh(f*x+e)*sinh(f*x+e)/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2)+I*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/b/f/sqrt((a+b*sinh(f*x+e)^2)/a)-I*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/b/f/sqrt(a+b*sinh(f*x+e)^2),1],
[1/(a+b*sinh(f*x+e)^2)^(3/2),x,4,-b*cosh(f*x+e)*sinh(f*x+e)/a/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2)-I*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/a/(a-b)/f/sqrt((a+b*sinh(f*x+e)^2)/a),1],
[csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x,3,-coth(f*x+e)/a/f/sqrt(a+b*sinh(f*x+e)^2)-(a-2*b)*sqrt(b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/a^(3/2)/(a-b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-sqrt(b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/sqrt(a)/(a-b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[sinh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x,5,arctanh(sqrt(b)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/b^(5/2)/f+1/3*a^2*cosh(f*x+e)/(a-b)/b^2/f/(a-b+b*cosh(f*x+e)^2)^(3/2)-2/3*a*(2*a-3*b)*cosh(f*x+e)/(a-b)^2/b^2/f/sqrt(a-b+b*cosh(f*x+e)^2),1],
[sinh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x,3,-1/3*a*cosh(f*x+e)/(a-b)/b/f/(a-b+b*cosh(f*x+e)^2)^(3/2)+1/3*(a-3*b)*cosh(f*x+e)/(a-b)^2/b/f/sqrt(a-b+b*cosh(f*x+e)^2),1],
[sinh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x,3,1/3*cosh(f*x+e)/(a-b)/f/(a-b+b*cosh(f*x+e)^2)^(3/2)+2/3*cosh(f*x+e)/(a-b)^2/f/sqrt(a-b+b*cosh(f*x+e)^2),1],
[csch(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x,5,-arctanh(sqrt(a)*cosh(f*x+e)/sqrt(a-b+b*cosh(f*x+e)^2))/a^(5/2)/f-1/3*b*cosh(f*x+e)/a/(a-b)/f/(a-b+b*cosh(f*x+e)^2)^(3/2)-1/3*(5*a-3*b)*b*cosh(f*x+e)/a^2/(a-b)^2/f/sqrt(a-b+b*cosh(f*x+e)^2),1],
[sinh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(5/2),x,4,-1/3*a*cosh(f*x+e)*sinh(f*x+e)^3/(a-b)/b/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/3*(4*a-3*b)*cosh(f*x+e)*sinh(f*x+e)/(a-b)/b^2/f/sqrt(a+b*sinh(f*x+e)^2)-1/3*sqrt(a)*(8*a^2-13*a*b+3*b^2)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/(a-b)^2/b^(5/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+2/3*a^(3/2)*(2*a-3*b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/(a-b)^2/b^(5/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[sinh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x,3,-1/3*a*cosh(f*x+e)*sinh(f*x+e)/(a-b)/b/f/(a+b*sinh(f*x+e)^2)^(3/2)+2/3*sqrt(a)*(a-2*b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/(a-b)^2/b^(3/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-1/3*sqrt(a)*(a-3*b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/(a-b)^2/b^(3/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[sinh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x,7,1/3*cosh(f*x+e)*sinh(f*x+e)/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/3*(a+b)*cosh(f*x+e)*sinh(f*x+e)/a/(a-b)^2/f/sqrt(a+b*sinh(f*x+e)^2)+1/3*I*(a+b)*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/a/(a-b)^2/b/f/sqrt((a+b*sinh(f*x+e)^2)/a)-1/3*I*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/(a-b)/b/f/sqrt(a+b*sinh(f*x+e)^2),1],
[1/(a+b*sinh(f*x+e)^2)^(5/2),x,7,-1/3*b*cosh(f*x+e)*sinh(f*x+e)/a/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2)-2/3*(2*a-b)*b*cosh(f*x+e)*sinh(f*x+e)/a^2/(a-b)^2/f/sqrt(a+b*sinh(f*x+e)^2)-2/3*I*(2*a-b)*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/a^2/(a-b)^2/f/sqrt((a+b*sinh(f*x+e)^2)/a)+1/3*I*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/a/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[csch(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x,4,-1/3*b*coth(f*x+e)/a/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2)-1/3*(3*a-4*b)*coth(f*x+e)/a^2/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2)-1/3*sqrt(b)*(3*a^2-13*a*b+8*b^2)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/a^(5/2)/(a-b)^2/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-2/3*(3*a-2*b)*sqrt(b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/a^(3/2)/(a-b)^2/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[(d*sinh(f*x+e))^m*(a+b*sinh(f*x+e)^2)^p,x,4,d*AppellF1(1/2,1/2-1/2*m,-p,3/2,cosh(f*x+e)^2,-b*cosh(f*x+e)^2/(a-b))*cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^p*(d*sinh(f*x+e))^(-1+m)*(-sinh(f*x+e)^2)^(1/2-1/2*m)/f/((1+b*cosh(f*x+e)^2/(a-b))^p),1],
[sinh(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x,5,-(3*a+b*(7+4*p))*cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^(p+1)/b^2/f/(3+2*p)/(5+2*p)+cosh(f*x+e)^3*(a-b+b*cosh(f*x+e)^2)^(p+1)/b/f/(5+2*p)+(3*a^2+4*a*b*(p+1)+4*b^2*(p^2+3*p+2))*cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^p*hypergeom([1/2, -p],[3/2],-b*cosh(f*x+e)^2/(a-b))/b^2/f/(3+2*p)/(5+2*p)/((1+b*cosh(f*x+e)^2/(a-b))^p),1],
[sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x,4,cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^(p+1)/b/f/(3+2*p)-(a+2*b*(p+1))*cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^p*hypergeom([1/2, -p],[3/2],-b*cosh(f*x+e)^2/(a-b))/b/f/(3+2*p)/((1+b*cosh(f*x+e)^2/(a-b))^p),1],
[sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x,3,cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^p*hypergeom([1/2, -p],[3/2],-b*cosh(f*x+e)^2/(a-b))/f/((1+b*cosh(f*x+e)^2/(a-b))^p),1],
[csch(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x,4,-AppellF1(1/2,1,-p,3/2,cosh(f*x+e)^2,-b*cosh(f*x+e)^2/(a-b))*cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^p/f/((1+b*cosh(f*x+e)^2/(a-b))^p),1],
[csch(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x,4,AppellF1(1/2,2,-p,3/2,cosh(f*x+e)^2,-b*cosh(f*x+e)^2/(a-b))*cosh(f*x+e)*(a-b+b*cosh(f*x+e)^2)^p/f/((1+b*cosh(f*x+e)^2/(a-b))^p),1],
[sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x,4,1/5*AppellF1(5/2,1/2,-p,7/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*sqrt(cosh(f*x+e)^2)*sinh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p*tanh(f*x+e)/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[sinh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x,4,1/3*AppellF1(3/2,2+p,-p,5/2,tanh(f*x+e)^2,(a-b)*tanh(f*x+e)^2/a)*(sech(f*x+e)^2)^p*(a+b*sinh(f*x+e)^2)^p*tanh(f*x+e)^3/f/((1-(a-b)*tanh(f*x+e)^2/a)^p),1],
[csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x,4,-AppellF1(-1/2,1/2,-p,1/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*sqrt(cosh(f*x+e)^2)*csch(f*x+e)*sech(f*x+e)*(a+b*sinh(f*x+e)^2)^p/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x,4,-1/3*AppellF1(-3/2,1/2,-p,-1/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*sqrt(cosh(f*x+e)^2)*csch(f*x+e)^3*sech(f*x+e)*(a+b*sinh(f*x+e)^2)^p/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[sinh(d*x+c)^4*(a+b*sinh(d*x+c)^3),x,7,3/8*a*x-b*cosh(d*x+c)/d+b*cosh(d*x+c)^3/d-3/5*b*cosh(d*x+c)^5/d+1/7*b*cosh(d*x+c)^7/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],
[sinh(d*x+c)^3*(a+b*sinh(d*x+c)^3),x,8,-5/16*b*x-a*cosh(d*x+c)/d+1/3*a*cosh(d*x+c)^3/d+5/16*b*cosh(d*x+c)*sinh(d*x+c)/d-5/24*b*cosh(d*x+c)*sinh(d*x+c)^3/d+1/6*b*cosh(d*x+c)*sinh(d*x+c)^5/d,1],
[sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3),x,6,-1/2*a*x+b*cosh(d*x+c)/d-2/3*b*cosh(d*x+c)^3/d+1/5*b*cosh(d*x+c)^5/d+1/2*a*cosh(d*x+c)*sinh(d*x+c)/d,1],
[sinh(d*x+c)*(a+b*sinh(d*x+c)^3),x,6,3/8*b*x+a*cosh(d*x+c)/d-3/8*b*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b*cosh(d*x+c)*sinh(d*x+c)^3/d,1],
[a+b*sinh(d*x+c)^3,x,3,a*x-b*cosh(d*x+c)/d+1/3*b*cosh(d*x+c)^3/d,1],
[csch(d*x+c)*(a+b*sinh(d*x+c)^3),x,5,-1/2*b*x-a*arctanh(cosh(d*x+c))/d+1/2*b*cosh(d*x+c)*sinh(d*x+c)/d,1],
[csch(d*x+c)^2*(a+b*sinh(d*x+c)^3),x,5,b*cosh(d*x+c)/d-a*coth(d*x+c)/d,1],
[csch(d*x+c)^3*(a+b*sinh(d*x+c)^3),x,4,b*x+1/2*a*arctanh(cosh(d*x+c))/d-1/2*a*coth(d*x+c)*csch(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*sinh(d*x+c)^3),x,5,-b*arctanh(cosh(d*x+c))/d+a*coth(d*x+c)/d-1/3*a*coth(d*x+c)^3/d,1],
[sinh(d*x+c)^3*(a+b*sinh(d*x+c)^3)^2,x,10,-5/8*a*b*x-a^2*cosh(d*x+c)/d+b^2*cosh(d*x+c)/d+1/3*a^2*cosh(d*x+c)^3/d-4/3*b^2*cosh(d*x+c)^3/d+6/5*b^2*cosh(d*x+c)^5/d-4/7*b^2*cosh(d*x+c)^7/d+1/9*b^2*cosh(d*x+c)^9/d+5/8*a*b*cosh(d*x+c)*sinh(d*x+c)/d-5/12*a*b*cosh(d*x+c)*sinh(d*x+c)^3/d+1/3*a*b*cosh(d*x+c)*sinh(d*x+c)^5/d,1],
[sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3)^2,x,11,-1/2*a^2*x+35/128*b^2*x+2*a*b*cosh(d*x+c)/d-4/3*a*b*cosh(d*x+c)^3/d+2/5*a*b*cosh(d*x+c)^5/d+1/2*a^2*cosh(d*x+c)*sinh(d*x+c)/d-35/128*b^2*cosh(d*x+c)*sinh(d*x+c)/d+35/192*b^2*cosh(d*x+c)*sinh(d*x+c)^3/d-7/48*b^2*cosh(d*x+c)*sinh(d*x+c)^5/d+1/8*b^2*cosh(d*x+c)*sinh(d*x+c)^7/d,1],
[sinh(d*x+c)*(a+b*sinh(d*x+c)^3)^2,x,8,3/4*a*b*x+a^2*cosh(d*x+c)/d-b^2*cosh(d*x+c)/d+b^2*cosh(d*x+c)^3/d-3/5*b^2*cosh(d*x+c)^5/d+1/7*b^2*cosh(d*x+c)^7/d-3/4*a*b*cosh(d*x+c)*sinh(d*x+c)/d+1/2*a*b*cosh(d*x+c)*sinh(d*x+c)^3/d,1],
[(a+b*sinh(d*x+c)^3)^2,x,8,a^2*x-5/16*b^2*x-2*a*b*cosh(d*x+c)/d+2/3*a*b*cosh(d*x+c)^3/d+5/16*b^2*cosh(d*x+c)*sinh(d*x+c)/d-5/24*b^2*cosh(d*x+c)*sinh(d*x+c)^3/d+1/6*b^2*cosh(d*x+c)*sinh(d*x+c)^5/d,1],
[csch(d*x+c)*(a+b*sinh(d*x+c)^3)^2,x,7,-a*b*x-a^2*arctanh(cosh(d*x+c))/d+b^2*cosh(d*x+c)/d-2/3*b^2*cosh(d*x+c)^3/d+1/5*b^2*cosh(d*x+c)^5/d+a*b*cosh(d*x+c)*sinh(d*x+c)/d,1],
[csch(d*x+c)^2*(a+b*sinh(d*x+c)^3)^2,x,8,3/8*b^2*x+2*a*b*cosh(d*x+c)/d-a^2*coth(d*x+c)/d-3/8*b^2*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b^2*cosh(d*x+c)*sinh(d*x+c)^3/d,1],
[csch(d*x+c)^3*(a+b*sinh(d*x+c)^3)^2,x,6,2*a*b*x+1/2*a^2*arctanh(cosh(d*x+c))/d-b^2*cosh(d*x+c)/d+1/3*b^2*cosh(d*x+c)^3/d-1/2*a^2*coth(d*x+c)*csch(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*sinh(d*x+c)^3)^2,x,7,-1/2*b^2*x-2*a*b*arctanh(cosh(d*x+c))/d+a^2*coth(d*x+c)/d-1/3*a^2*coth(d*x+c)^3/d+1/2*b^2*cosh(d*x+c)*sinh(d*x+c)/d,1],
[csch(d*x+c)^5*(a+b*sinh(d*x+c)^3)^2,x,8,-3/8*a^2*arctanh(cosh(d*x+c))/d+b^2*cosh(d*x+c)/d-2*a*b*coth(d*x+c)/d+3/8*a^2*coth(d*x+c)*csch(d*x+c)/d-1/4*a^2*coth(d*x+c)*csch(d*x+c)^3/d,1],
[csch(d*x+c)^6*(a+b*sinh(d*x+c)^3)^2,x,6,b^2*x+a*b*arctanh(cosh(d*x+c))/d-a^2*coth(d*x+c)/d+2/3*a^2*coth(d*x+c)^3/d-1/5*a^2*coth(d*x+c)^5/d-a*b*coth(d*x+c)*csch(d*x+c)/d,1],
[csch(d*x+c)^7*(a+b*sinh(d*x+c)^3)^2,x,9,5/16*a^2*arctanh(cosh(d*x+c))/d-b^2*arctanh(cosh(d*x+c))/d+2*a*b*coth(d*x+c)/d-2/3*a*b*coth(d*x+c)^3/d-5/16*a^2*coth(d*x+c)*csch(d*x+c)/d+5/24*a^2*coth(d*x+c)*csch(d*x+c)^3/d-1/6*a^2*coth(d*x+c)*csch(d*x+c)^5/d,1],
[sinh(d*x+c)^2*(a+b*sinh(d*x+c)^3)^3,x,13,-1/2*a^3*x+105/128*a*b^2*x+3*a^2*b*cosh(d*x+c)/d-b^3*cosh(d*x+c)/d-2*a^2*b*cosh(d*x+c)^3/d+5/3*b^3*cosh(d*x+c)^3/d+3/5*a^2*b*cosh(d*x+c)^5/d-2*b^3*cosh(d*x+c)^5/d+10/7*b^3*cosh(d*x+c)^7/d-5/9*b^3*cosh(d*x+c)^9/d+1/11*b^3*cosh(d*x+c)^11/d+1/2*a^3*cosh(d*x+c)*sinh(d*x+c)/d-105/128*a*b^2*cosh(d*x+c)*sinh(d*x+c)/d+35/64*a*b^2*cosh(d*x+c)*sinh(d*x+c)^3/d-7/16*a*b^2*cosh(d*x+c)*sinh(d*x+c)^5/d+3/8*a*b^2*cosh(d*x+c)*sinh(d*x+c)^7/d,1],
[sinh(d*x+c)*(a+b*sinh(d*x+c)^3)^3,x,14,9/8*a^2*b*x-63/256*b^3*x+a^3*cosh(d*x+c)/d-3*a*b^2*cosh(d*x+c)/d+3*a*b^2*cosh(d*x+c)^3/d-9/5*a*b^2*cosh(d*x+c)^5/d+3/7*a*b^2*cosh(d*x+c)^7/d-9/8*a^2*b*cosh(d*x+c)*sinh(d*x+c)/d+63/256*b^3*cosh(d*x+c)*sinh(d*x+c)/d+3/4*a^2*b*cosh(d*x+c)*sinh(d*x+c)^3/d-21/128*b^3*cosh(d*x+c)*sinh(d*x+c)^3/d+21/160*b^3*cosh(d*x+c)*sinh(d*x+c)^5/d-9/80*b^3*cosh(d*x+c)*sinh(d*x+c)^7/d+1/10*b^3*cosh(d*x+c)*sinh(d*x+c)^9/d,1],
[(a+b*sinh(d*x+c)^3)^3,x,10,a^3*x-15/16*a*b^2*x-3*a^2*b*cosh(d*x+c)/d+b^3*cosh(d*x+c)/d+a^2*b*cosh(d*x+c)^3/d-4/3*b^3*cosh(d*x+c)^3/d+6/5*b^3*cosh(d*x+c)^5/d-4/7*b^3*cosh(d*x+c)^7/d+1/9*b^3*cosh(d*x+c)^9/d+15/16*a*b^2*cosh(d*x+c)*sinh(d*x+c)/d-5/8*a*b^2*cosh(d*x+c)*sinh(d*x+c)^3/d+1/2*a*b^2*cosh(d*x+c)*sinh(d*x+c)^5/d,1],
[csch(d*x+c)*(a+b*sinh(d*x+c)^3)^3,x,12,-3/2*a^2*b*x+35/128*b^3*x-a^3*arctanh(cosh(d*x+c))/d+3*a*b^2*cosh(d*x+c)/d-2*a*b^2*cosh(d*x+c)^3/d+3/5*a*b^2*cosh(d*x+c)^5/d+3/2*a^2*b*cosh(d*x+c)*sinh(d*x+c)/d-35/128*b^3*cosh(d*x+c)*sinh(d*x+c)/d+35/192*b^3*cosh(d*x+c)*sinh(d*x+c)^3/d-7/48*b^3*cosh(d*x+c)*sinh(d*x+c)^5/d+1/8*b^3*cosh(d*x+c)*sinh(d*x+c)^7/d,1],
[csch(d*x+c)^2*(a+b*sinh(d*x+c)^3)^3,x,10,9/8*a*b^2*x+3*a^2*b*cosh(d*x+c)/d-b^3*cosh(d*x+c)/d+b^3*cosh(d*x+c)^3/d-3/5*b^3*cosh(d*x+c)^5/d+1/7*b^3*cosh(d*x+c)^7/d-a^3*coth(d*x+c)/d-9/8*a*b^2*cosh(d*x+c)*sinh(d*x+c)/d+3/4*a*b^2*cosh(d*x+c)*sinh(d*x+c)^3/d,1],
[csch(d*x+c)^3*(a+b*sinh(d*x+c)^3)^3,x,10,3*a^2*b*x-5/16*b^3*x+1/2*a^3*arctanh(cosh(d*x+c))/d-3*a*b^2*cosh(d*x+c)/d+a*b^2*cosh(d*x+c)^3/d-1/2*a^3*coth(d*x+c)*csch(d*x+c)/d+5/16*b^3*cosh(d*x+c)*sinh(d*x+c)/d-5/24*b^3*cosh(d*x+c)*sinh(d*x+c)^3/d+1/6*b^3*cosh(d*x+c)*sinh(d*x+c)^5/d,1],
[csch(d*x+c)^4*(a+b*sinh(d*x+c)^3)^3,x,9,-3/2*a*b^2*x-3*a^2*b*arctanh(cosh(d*x+c))/d+b^3*cosh(d*x+c)/d-2/3*b^3*cosh(d*x+c)^3/d+1/5*b^3*cosh(d*x+c)^5/d+a^3*coth(d*x+c)/d-1/3*a^3*coth(d*x+c)^3/d+3/2*a*b^2*cosh(d*x+c)*sinh(d*x+c)/d,1],
[csch(d*x+c)^5*(a+b*sinh(d*x+c)^3)^3,x,11,3/8*b^3*x-3/8*a^3*arctanh(cosh(d*x+c))/d+3*a*b^2*cosh(d*x+c)/d-3*a^2*b*coth(d*x+c)/d+3/8*a^3*coth(d*x+c)*csch(d*x+c)/d-1/4*a^3*coth(d*x+c)*csch(d*x+c)^3/d-3/8*b^3*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b^3*cosh(d*x+c)*sinh(d*x+c)^3/d,1],
[csch(d*x+c)^6*(a+b*sinh(d*x+c)^3)^3,x,8,3*a*b^2*x+3/2*a^2*b*arctanh(cosh(d*x+c))/d-b^3*cosh(d*x+c)/d+1/3*b^3*cosh(d*x+c)^3/d-a^3*coth(d*x+c)/d+2/3*a^3*coth(d*x+c)^3/d-1/5*a^3*coth(d*x+c)^5/d-3/2*a^2*b*coth(d*x+c)*csch(d*x+c)/d,1],
[csch(d*x+c)^7*(a+b*sinh(d*x+c)^3)^3,x,11,-1/2*b^3*x+5/16*a^3*arctanh(cosh(d*x+c))/d-3*a*b^2*arctanh(cosh(d*x+c))/d+3*a^2*b*coth(d*x+c)/d-a^2*b*coth(d*x+c)^3/d-5/16*a^3*coth(d*x+c)*csch(d*x+c)/d+5/24*a^3*coth(d*x+c)*csch(d*x+c)^3/d-1/6*a^3*coth(d*x+c)*csch(d*x+c)^5/d+1/2*b^3*cosh(d*x+c)*sinh(d*x+c)/d,1],
[sinh(d*x+c)^6/(a+b*sinh(d*x+c)^3),x,15,-a*x/b^2-2/3*(-1)^(2/3)*a^(4/3)*arctan((-1)^(1/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3)))/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3))/b^2/d-2/3*(-1)^(2/3)*a^(4/3)*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/b^2/d-2/3*a^(4/3)*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/sqrt(a^(2/3)+b^(2/3))/b^2/d-cosh(d*x+c)/b/d+1/3*cosh(d*x+c)^3/b/d,1],
[sinh(d*x+c)^5/(a+b*sinh(d*x+c)^3),x,15,-1/2*x/b+2/3*a*arctan((-1)^(5/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(-(-1)^(2/3)*a^(2/3)-b^(2/3)))/sqrt(-(-1)^(2/3)*a^(2/3)-b^(2/3))/b^(5/3)/d+2/3*a*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/b^(5/3)/d+2/3*a*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/sqrt(a^(2/3)+b^(2/3))/b^(5/3)/d+1/2*cosh(d*x+c)*sinh(d*x+c)/b/d,1],
[sinh(d*x+c)^4/(a+b*sinh(d*x+c)^3),x,14,-2/3*a^(2/3)*arctan((-1)^(1/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3)))/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3))/b^(4/3)/d+2/3*(-1)^(1/3)*a^(2/3)*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/b^(4/3)/d-2/3*a^(2/3)*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/sqrt(a^(2/3)+b^(2/3))/b^(4/3)/d+cosh(d*x+c)/b/d,1],
[sinh(d*x+c)^3/(a+b*sinh(d*x+c)^3),x,13,x/b+2/3*(-1)^(2/3)*a^(1/3)*arctan((-1)^(1/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3)))/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3))/b/d+2/3*(-1)^(2/3)*a^(1/3)*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/b/d+2/3*a^(1/3)*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/sqrt(a^(2/3)+b^(2/3))/b/d,1],
[sinh(d*x+c)^2/(a+b*sinh(d*x+c)^3),x,11,-2/3*arctan((-1)^(5/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(-(-1)^(2/3)*a^(2/3)-b^(2/3)))/sqrt(-(-1)^(2/3)*a^(2/3)-b^(2/3))/b^(2/3)/d-2/3*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/b^(2/3)/d-2/3*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/sqrt(a^(2/3)+b^(2/3))/b^(2/3)/d,1],
[sinh(d*x+c)/(a+b*sinh(d*x+c)^3),x,11,2/3*arctan((-1)^(1/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3)))/a^(1/3)/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3))/b^(1/3)/d-2/3*(-1)^(1/3)*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/a^(1/3)/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/b^(1/3)/d+2/3*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/a^(1/3)/sqrt(a^(2/3)+b^(2/3))/b^(1/3)/d,1],
[1/(a+b*sinh(d*x+c)^3),x,11,-2/3*(-1)^(2/3)*arctan((-1)^(1/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3)))/a^(2/3)/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3))/d-2/3*(-1)^(2/3)*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/a^(2/3)/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/d-2/3*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/a^(2/3)/sqrt(a^(2/3)+b^(2/3))/d,1],
[csch(d*x+c)/(a+b*sinh(d*x+c)^3),x,14,2/3*b^(1/3)*arctan((-1)^(5/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(-(-1)^(2/3)*a^(2/3)-b^(2/3)))/a/sqrt(-(-1)^(2/3)*a^(2/3)-b^(2/3))/d+2/3*b^(1/3)*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/a/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/d-arctanh(cosh(d*x+c))/a/d+2/3*b^(1/3)*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/a/sqrt(a^(2/3)+b^(2/3))/d,1],
[csch(d*x+c)^2/(a+b*sinh(d*x+c)^3),x,15,-2/3*b^(2/3)*arctan((-1)^(1/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3)))/a^(4/3)/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3))/d+2/3*(-1)^(1/3)*b^(2/3)*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/a^(4/3)/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/d-2/3*b^(2/3)*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/a^(4/3)/sqrt(a^(2/3)+b^(2/3))/d-coth(d*x+c)/a/d,1],
[csch(d*x+c)^3/(a+b*sinh(d*x+c)^3),x,15,2/3*(-1)^(2/3)*b*arctan((-1)^(1/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3)))/a^(5/3)/sqrt((-1)^(1/3)*a^(2/3)-(-1)^(2/3)*b^(2/3))/d+2/3*(-1)^(2/3)*b*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/a^(5/3)/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/d+1/2*arctanh(cosh(d*x+c))/a/d+2/3*b*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/a^(5/3)/sqrt(a^(2/3)+b^(2/3))/d-1/2*coth(d*x+c)*csch(d*x+c)/a/d,1],
[csch(d*x+c)^4/(a+b*sinh(d*x+c)^3),x,16,-2/3*b^(4/3)*arctan((-1)^(5/6)*((-1)^(1/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(-(-1)^(2/3)*a^(2/3)-b^(2/3)))/a^2/sqrt(-(-1)^(2/3)*a^(2/3)-b^(2/3))/d-2/3*b^(4/3)*arctan((-1)^(1/6)*((-1)^(5/6)*b^(1/3)+I*a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3)))/a^2/sqrt((-1)^(1/3)*a^(2/3)-b^(2/3))/d+b*arctanh(cosh(d*x+c))/a^2/d-2/3*b^(4/3)*arctanh((b^(1/3)-a^(1/3)*tanh(1/2*d*x+1/2*c))/sqrt(a^(2/3)+b^(2/3)))/a^2/sqrt(a^(2/3)+b^(2/3))/d+coth(d*x+c)/a/d-1/3*coth(d*x+c)^3/a/d,1],
[sinh(d*x+c)^4*(a+b*sinh(d*x+c)^4),x,6,1/128*(48*a+35*b)*x-1/128*(80*a+93*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/192*(48*a+163*b)*cosh(d*x+c)^3*sinh(d*x+c)/d-25/48*b*cosh(d*x+c)^5*sinh(d*x+c)/d+1/8*b*cosh(d*x+c)^7*sinh(d*x+c)/d,1],
[sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4),x,3,-(a+b)*cosh(d*x+c)/d+1/3*(a+3*b)*cosh(d*x+c)^3/d-3/5*b*cosh(d*x+c)^5/d+1/7*b*cosh(d*x+c)^7/d,1],
[sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4),x,5,-1/16*(8*a+5*b)*x+1/16*(8*a+11*b)*cosh(d*x+c)*sinh(d*x+c)/d-13/24*b*cosh(d*x+c)^3*sinh(d*x+c)/d+1/6*b*cosh(d*x+c)^5*sinh(d*x+c)/d,1],
[sinh(d*x+c)*(a+b*sinh(d*x+c)^4),x,2,(a+b)*cosh(d*x+c)/d-2/3*b*cosh(d*x+c)^3/d+1/5*b*cosh(d*x+c)^5/d,1],
[a+b*sinh(d*x+c)^4,x,4,a*x+3/8*b*x-3/8*b*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b*cosh(d*x+c)*sinh(d*x+c)^3/d,1],
[csch(d*x+c)*(a+b*sinh(d*x+c)^4),x,4,-a*arctanh(cosh(d*x+c))/d-b*cosh(d*x+c)/d+1/3*b*cosh(d*x+c)^3/d,1],
[csch(d*x+c)^2*(a+b*sinh(d*x+c)^4),x,4,-1/2*b*x-a*coth(d*x+c)/d+1/2*b*cosh(d*x+c)*sinh(d*x+c)/d,1],
[csch(d*x+c)^3*(a+b*sinh(d*x+c)^4),x,5,1/2*a*arctanh(cosh(d*x+c))/d+b*cosh(d*x+c)/d-1/2*a*coth(d*x+c)*csch(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*sinh(d*x+c)^4),x,4,b*x+a*coth(d*x+c)/d-1/3*a*coth(d*x+c)^3/d,1],
[csch(d*x+c)^5*(a+b*sinh(d*x+c)^4),x,4,-1/8*(3*a+8*b)*arctanh(cosh(d*x+c))/d+3/8*a*coth(d*x+c)*csch(d*x+c)/d-1/4*a*coth(d*x+c)*csch(d*x+c)^3/d,1],
[csch(d*x+c)^6*(a+b*sinh(d*x+c)^4),x,3,-(a+b)*coth(d*x+c)/d+2/3*a*coth(d*x+c)^3/d-1/5*a*coth(d*x+c)^5/d,1],
[csch(d*x+c)^7*(a+b*sinh(d*x+c)^4),x,5,1/16*(5*a+8*b)*arctanh(cosh(d*x+c))/d-1/16*(5*a+8*b)*coth(d*x+c)*csch(d*x+c)/d+5/24*a*coth(d*x+c)*csch(d*x+c)^3/d-1/6*a*coth(d*x+c)*csch(d*x+c)^5/d,1],
[sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4)^2,x,3,-(a+b)^2*cosh(d*x+c)/d+1/3*(a+b)*(a+5*b)*cosh(d*x+c)^3/d-2/5*b*(3*a+5*b)*cosh(d*x+c)^5/d+2/7*b*(a+5*b)*cosh(d*x+c)^7/d-5/9*b^2*cosh(d*x+c)^9/d+1/11*b^2*cosh(d*x+c)^11/d,1],
[sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4)^2,x,7,-1/256*(128*a^2+160*a*b+63*b^2)*x+1/256*(128*a^2+352*a*b+193*b^2)*cosh(d*x+c)*sinh(d*x+c)/d-1/384*b*(416*a+447*b)*cosh(d*x+c)^3*sinh(d*x+c)/d+1/480*b*(160*a+513*b)*cosh(d*x+c)^5*sinh(d*x+c)/d-41/80*b^2*cosh(d*x+c)^7*sinh(d*x+c)/d+1/10*b^2*cosh(d*x+c)^9*sinh(d*x+c)/d,1],
[sinh(d*x+c)*(a+b*sinh(d*x+c)^4)^2,x,3,(a+b)^2*cosh(d*x+c)/d-4/3*b*(a+b)*cosh(d*x+c)^3/d+2/5*b*(a+3*b)*cosh(d*x+c)^5/d-4/7*b^2*cosh(d*x+c)^7/d+1/9*b^2*cosh(d*x+c)^9/d,1],
[(a+b*sinh(d*x+c)^4)^2,x,6,1/128*(128*a^2+96*a*b+35*b^2)*x-1/128*b*(160*a+93*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/192*b*(96*a+163*b)*cosh(d*x+c)^3*sinh(d*x+c)/d-25/48*b^2*cosh(d*x+c)^5*sinh(d*x+c)/d+1/8*b^2*cosh(d*x+c)^7*sinh(d*x+c)/d,1],
[csch(d*x+c)*(a+b*sinh(d*x+c)^4)^2,x,4,-a^2*arctanh(cosh(d*x+c))/d-b*(2*a+b)*cosh(d*x+c)/d+1/3*b*(2*a+3*b)*cosh(d*x+c)^3/d-3/5*b^2*cosh(d*x+c)^5/d+1/7*b^2*cosh(d*x+c)^7/d,1],
[csch(d*x+c)^2*(a+b*sinh(d*x+c)^4)^2,x,7,-1/16*b*(16*a+5*b)*x-a^2*coth(d*x+c)/d+1/16*b*(16*a+11*b)*cosh(d*x+c)*sinh(d*x+c)/d-13/24*b^2*cosh(d*x+c)^3*sinh(d*x+c)/d+1/6*b^2*cosh(d*x+c)^5*sinh(d*x+c)/d,1],
[csch(d*x+c)^3*(a+b*sinh(d*x+c)^4)^2,x,6,1/2*a^2*arctanh(cosh(d*x+c))/d+b*(2*a+b)*cosh(d*x+c)/d-2/3*b^2*cosh(d*x+c)^3/d+1/5*b^2*cosh(d*x+c)^5/d-1/2*a^2*coth(d*x+c)*csch(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*sinh(d*x+c)^4)^2,x,6,1/8*b*(16*a+3*b)*x+a^2*coth(d*x+c)/d-1/3*a^2*coth(d*x+c)^3/d-5/8*b^2*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b^2*cosh(d*x+c)^3*sinh(d*x+c)/d,1],
[csch(d*x+c)^5*(a+b*sinh(d*x+c)^4)^2,x,6,-1/8*a*(3*a+16*b)*arctanh(cosh(d*x+c))/d-b^2*cosh(d*x+c)/d+1/3*b^2*cosh(d*x+c)^3/d+3/8*a^2*coth(d*x+c)*csch(d*x+c)/d-1/4*a^2*coth(d*x+c)*csch(d*x+c)^3/d,1],
[csch(d*x+c)^6*(a+b*sinh(d*x+c)^4)^2,x,5,-1/2*b^2*x-a*(a+2*b)*coth(d*x+c)/d+2/3*a^2*coth(d*x+c)^3/d-1/5*a^2*coth(d*x+c)^5/d+1/2*b^2*cosh(d*x+c)*sinh(d*x+c)/d,1],
[csch(d*x+c)^7*(a+b*sinh(d*x+c)^4)^2,x,6,1/16*a*(5*a+16*b)*arctanh(cosh(d*x+c))/d+b^2*cosh(d*x+c)/d-1/16*a*(5*a+16*b)*coth(d*x+c)*csch(d*x+c)/d+5/24*a^2*coth(d*x+c)*csch(d*x+c)^3/d-1/6*a^2*coth(d*x+c)*csch(d*x+c)^5/d,1],
[sinh(d*x+c)^5*(a+b*sinh(d*x+c)^4)^3,x,3,(a+b)^3*cosh(d*x+c)/d-2/3*(a+b)^2*(a+4*b)*cosh(d*x+c)^3/d+1/5*(a+b)*(a^2+17*a*b+28*b^2)*cosh(d*x+c)^5/d-4/7*b*(3*a^2+15*a*b+14*b^2)*cosh(d*x+c)^7/d+1/9*b*(3*a^2+45*a*b+70*b^2)*cosh(d*x+c)^9/d-2/11*b^2*(9*a+28*b)*cosh(d*x+c)^11/d+1/13*b^2*(3*a+28*b)*cosh(d*x+c)^13/d-8/15*b^3*cosh(d*x+c)^15/d+1/17*b^3*cosh(d*x+c)^17/d,1],
[sinh(d*x+c)^3*(a+b*sinh(d*x+c)^4)^3,x,3,-(a+b)^3*cosh(d*x+c)/d+1/3*(a+b)^2*(a+7*b)*cosh(d*x+c)^3/d-3/5*b*(a+b)*(3*a+7*b)*cosh(d*x+c)^5/d+1/7*b*(3*a^2+30*a*b+35*b^2)*cosh(d*x+c)^7/d-5/9*b^2*(3*a+7*b)*cosh(d*x+c)^9/d+3/11*b^2*(a+7*b)*cosh(d*x+c)^11/d-7/13*b^3*cosh(d*x+c)^13/d+1/15*b^3*cosh(d*x+c)^15/d,1],
[sinh(d*x+c)*(a+b*sinh(d*x+c)^4)^3,x,3,(a+b)^3*cosh(d*x+c)/d-2*b*(a+b)^2*cosh(d*x+c)^3/d+3/5*b*(a+b)*(a+5*b)*cosh(d*x+c)^5/d-4/7*b^2*(3*a+5*b)*cosh(d*x+c)^7/d+1/3*b^2*(a+5*b)*cosh(d*x+c)^9/d-6/11*b^3*cosh(d*x+c)^11/d+1/13*b^3*cosh(d*x+c)^13/d,1],
[csch(d*x+c)*(a+b*sinh(d*x+c)^4)^3,x,4,-a^3*arctanh(cosh(d*x+c))/d-b*(3*a^2+3*a*b+b^2)*cosh(d*x+c)/d+1/3*b*(3*a^2+9*a*b+5*b^2)*cosh(d*x+c)^3/d-1/5*b^2*(9*a+10*b)*cosh(d*x+c)^5/d+1/7*b^2*(3*a+10*b)*cosh(d*x+c)^7/d-5/9*b^3*cosh(d*x+c)^9/d+1/11*b^3*cosh(d*x+c)^11/d,1],
[csch(d*x+c)^3*(a+b*sinh(d*x+c)^4)^3,x,6,1/2*a^3*arctanh(cosh(d*x+c))/d+b*(3*a^2+3*a*b+b^2)*cosh(d*x+c)/d-2/3*b^2*(3*a+2*b)*cosh(d*x+c)^3/d+3/5*b^2*(a+2*b)*cosh(d*x+c)^5/d-4/7*b^3*cosh(d*x+c)^7/d+1/9*b^3*cosh(d*x+c)^9/d-1/2*a^3*coth(d*x+c)*csch(d*x+c)/d,1],
[csch(d*x+c)^5*(a+b*sinh(d*x+c)^4)^3,x,6,-3/8*a^2*(a+8*b)*arctanh(cosh(d*x+c))/d-b^2*(3*a+b)*cosh(d*x+c)/d+b^2*(a+b)*cosh(d*x+c)^3/d-3/5*b^3*cosh(d*x+c)^5/d+1/7*b^3*cosh(d*x+c)^7/d+3/8*a^3*coth(d*x+c)*csch(d*x+c)/d-1/4*a^3*coth(d*x+c)*csch(d*x+c)^3/d,1],
[csch(d*x+c)^7*(a+b*sinh(d*x+c)^4)^3,x,7,1/16*a^2*(5*a+24*b)*arctanh(cosh(d*x+c))/d+b^2*(3*a+b)*cosh(d*x+c)/d-2/3*b^3*cosh(d*x+c)^3/d+1/5*b^3*cosh(d*x+c)^5/d-1/16*a^2*(5*a+24*b)*coth(d*x+c)*csch(d*x+c)/d+5/24*a^3*coth(d*x+c)*csch(d*x+c)^3/d-1/6*a^3*coth(d*x+c)*csch(d*x+c)^5/d,1],
[csch(d*x+c)^9*(a+b*sinh(d*x+c)^4)^3,x,8,-1/128*a*(35*a^2+144*a*b+384*b^2)*arctanh(cosh(d*x+c))/d-b^3*cosh(d*x+c)/d+1/3*b^3*cosh(d*x+c)^3/d+1/128*a^2*(35*a+144*b)*coth(d*x+c)*csch(d*x+c)/d-1/192*a^2*(35*a+144*b)*coth(d*x+c)*csch(d*x+c)^3/d+7/48*a^3*coth(d*x+c)*csch(d*x+c)^5/d-1/8*a^3*coth(d*x+c)*csch(d*x+c)^7/d,1],
[csch(d*x+c)^11*(a+b*sinh(d*x+c)^4)^3,x,8,3/256*a*(21*a^2+80*a*b+128*b^2)*arctanh(cosh(d*x+c))/d+b^3*cosh(d*x+c)/d-3/256*a*(21*a^2+80*a*b+128*b^2)*coth(d*x+c)*csch(d*x+c)/d+1/128*a^2*(21*a+80*b)*coth(d*x+c)*csch(d*x+c)^3/d-1/160*a^2*(21*a+80*b)*coth(d*x+c)*csch(d*x+c)^5/d+9/80*a^3*coth(d*x+c)*csch(d*x+c)^7/d-1/10*a^3*coth(d*x+c)*csch(d*x+c)^9/d,1],
[csch(d*x+c)^13*(a+b*sinh(d*x+c)^4)^3,x,8,-1/1024*(231*a^3+840*a^2*b+1152*a*b^2+1024*b^3)*arctanh(cosh(d*x+c))/d+3/1024*a*(77*a^2+280*a*b+384*b^2)*coth(d*x+c)*csch(d*x+c)/d-1/512*a*(77*a^2+280*a*b+384*b^2)*coth(d*x+c)*csch(d*x+c)^3/d+7/640*a^2*(11*a+40*b)*coth(d*x+c)*csch(d*x+c)^5/d-3/320*a^2*(11*a+40*b)*coth(d*x+c)*csch(d*x+c)^7/d+11/120*a^3*coth(d*x+c)*csch(d*x+c)^9/d-1/12*a^3*coth(d*x+c)*csch(d*x+c)^11/d,1],
[sinh(d*x+c)^2*(a+b*sinh(d*x+c)^4)^3,x,9,-1/2048*(1024*a^3+1920*a^2*b+1512*a*b^2+429*b^3)*x+1/2048*(1024*a^3+4224*a^2*b+4632*a*b^2+1619*b^3)*cosh(d*x+c)*sinh(d*x+c)/d-1/3072*b*(4992*a^2+10728*a*b+5549*b^2)*cosh(d*x+c)^3*sinh(d*x+c)/d+1/3840*b*(1920*a^2+12312*a*b+10579*b^2)*cosh(d*x+c)^5*sinh(d*x+c)/d-1/4480*b^2*(6888*a+11821*b)*cosh(d*x+c)^7*sinh(d*x+c)/d+1/1680*b^2*(504*a+2593*b)*cosh(d*x+c)^9*sinh(d*x+c)/d-85/168*b^3*cosh(d*x+c)^11*sinh(d*x+c)/d+1/14*b^3*cosh(d*x+c)^13*sinh(d*x+c)/d,1],
[(a+b*sinh(d*x+c)^4)^3,x,8,1/1024*(1024*a^3+1152*a^2*b+840*a*b^2+231*b^3)*x-1/1024*b*(1920*a^2+2232*a*b+793*b^2)*cosh(d*x+c)*sinh(d*x+c)/d+1/1536*b*(1152*a^2+3912*a*b+2279*b^2)*cosh(d*x+c)^3*sinh(d*x+c)/d-1/1920*b^2*(3000*a+3481*b)*cosh(d*x+c)^5*sinh(d*x+c)/d+3/320*b^2*(40*a+139*b)*cosh(d*x+c)^7*sinh(d*x+c)/d-61/120*b^3*cosh(d*x+c)^9*sinh(d*x+c)/d+1/12*b^3*cosh(d*x+c)^11*sinh(d*x+c)/d,1],
[csch(d*x+c)^2*(a+b*sinh(d*x+c)^4)^3,x,9,-3/256*b*(128*a^2+80*a*b+21*b^2)*x-a^3*coth(d*x+c)/d+1/256*b*(384*a^2+528*a*b+193*b^2)*cosh(d*x+c)*sinh(d*x+c)/d-1/128*b^2*(208*a+149*b)*cosh(d*x+c)^3*sinh(d*x+c)/d+1/160*b^2*(80*a+171*b)*cosh(d*x+c)^5*sinh(d*x+c)/d-41/80*b^3*cosh(d*x+c)^7*sinh(d*x+c)/d+1/10*b^3*cosh(d*x+c)^9*sinh(d*x+c)/d,1],
[csch(d*x+c)^4*(a+b*sinh(d*x+c)^4)^3,x,8,1/128*b*(384*a^2+144*a*b+35*b^2)*x+a^3*coth(d*x+c)/d-1/3*a^3*coth(d*x+c)^3/d-3/128*b^2*(80*a+31*b)*cosh(d*x+c)*sinh(d*x+c)/d+1/192*b^2*(144*a+163*b)*cosh(d*x+c)^3*sinh(d*x+c)/d-25/48*b^3*cosh(d*x+c)^5*sinh(d*x+c)/d+1/8*b^3*cosh(d*x+c)^7*sinh(d*x+c)/d,1],
[csch(d*x+c)^6*(a+b*sinh(d*x+c)^4)^3,x,7,-1/16*b^2*(24*a+5*b)*x-a^2*(a+3*b)*coth(d*x+c)/d+2/3*a^3*coth(d*x+c)^3/d-1/5*a^3*coth(d*x+c)^5/d+1/16*b^2*(24*a+11*b)*cosh(d*x+c)*sinh(d*x+c)/d-13/24*b^3*cosh(d*x+c)^3*sinh(d*x+c)/d+1/6*b^3*cosh(d*x+c)^5*sinh(d*x+c)/d,1],
[csch(d*x+c)^8*(a+b*sinh(d*x+c)^4)^3,x,6,3/8*b^2*(8*a+b)*x+a^2*(a+3*b)*coth(d*x+c)/d-a^2*(a+b)*coth(d*x+c)^3/d+3/5*a^3*coth(d*x+c)^5/d-1/7*a^3*coth(d*x+c)^7/d-5/8*b^3*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b^3*cosh(d*x+c)^3*sinh(d*x+c)/d,1],
[csch(d*x+c)^10*(a+b*sinh(d*x+c)^4)^3,x,5,-1/2*b^3*x-a*(a^2+3*a*b+3*b^2)*coth(d*x+c)/d+2/3*a^2*(2*a+3*b)*coth(d*x+c)^3/d-3/5*a^2*(2*a+b)*coth(d*x+c)^5/d+4/7*a^3*coth(d*x+c)^7/d-1/9*a^3*coth(d*x+c)^9/d+1/2*b^3*cosh(d*x+c)*sinh(d*x+c)/d,1],
[csch(d*x+c)^12*(a+b*sinh(d*x+c)^4)^3,x,5,b^3*x+a*(a^2+3*a*b+3*b^2)*coth(d*x+c)/d-1/3*a*(5*a^2+9*a*b+3*b^2)*coth(d*x+c)^3/d+1/5*a^2*(10*a+9*b)*coth(d*x+c)^5/d-1/7*a^2*(10*a+3*b)*coth(d*x+c)^7/d+5/9*a^3*coth(d*x+c)^9/d-1/11*a^3*coth(d*x+c)^11/d,1],
[csch(d*x+c)^14*(a+b*sinh(d*x+c)^4)^3,x,3,-(a+b)^3*coth(d*x+c)/d+2*a*(a+b)^2*coth(d*x+c)^3/d-3/5*a*(a+b)*(5*a+b)*coth(d*x+c)^5/d+4/7*a^2*(5*a+3*b)*coth(d*x+c)^7/d-1/3*a^2*(5*a+b)*coth(d*x+c)^9/d+6/11*a^3*coth(d*x+c)^11/d-1/13*a^3*coth(d*x+c)^13/d,1],
[csch(d*x+c)^16*(a+b*sinh(d*x+c)^4)^3,x,3,(a+b)^3*coth(d*x+c)/d-1/3*(a+b)^2*(7*a+b)*coth(d*x+c)^3/d+3/5*a*(a+b)*(7*a+3*b)*coth(d*x+c)^5/d-1/7*a*(35*a^2+30*a*b+3*b^2)*coth(d*x+c)^7/d+5/9*a^2*(7*a+3*b)*coth(d*x+c)^9/d-3/11*a^2*(7*a+b)*coth(d*x+c)^11/d+7/13*a^3*coth(d*x+c)^13/d-1/15*a^3*coth(d*x+c)^15/d,1],
[csch(d*x+c)^18*(a+b*sinh(d*x+c)^4)^3,x,3,-(a+b)^3*coth(d*x+c)/d+2/3*(a+b)^2*(4*a+b)*coth(d*x+c)^3/d-1/5*(a+b)*(28*a^2+17*a*b+b^2)*coth(d*x+c)^5/d+4/7*a*(14*a^2+15*a*b+3*b^2)*coth(d*x+c)^7/d-1/9*a*(70*a^2+45*a*b+3*b^2)*coth(d*x+c)^9/d+2/11*a^2*(28*a+9*b)*coth(d*x+c)^11/d-1/13*a^2*(28*a+3*b)*coth(d*x+c)^13/d+8/15*a^3*coth(d*x+c)^15/d-1/17*a^3*coth(d*x+c)^17/d,1],
[csch(d*x+c)^20*(a+b*sinh(d*x+c)^4)^3,x,3,(a+b)^3*coth(d*x+c)/d-(a+b)^2*(3*a+b)*coth(d*x+c)^3/d+3/5*(a+b)*(12*a^2+9*a*b+b^2)*coth(d*x+c)^5/d-1/7*(84*a^3+105*a^2*b+30*a*b^2+b^3)*coth(d*x+c)^7/d+1/3*a*(42*a^2+35*a*b+5*b^2)*coth(d*x+c)^9/d-3/11*a*(42*a^2+21*a*b+b^2)*coth(d*x+c)^11/d+21/13*a^2*(4*a+b)*coth(d*x+c)^13/d-1/5*a^2*(12*a+b)*coth(d*x+c)^15/d+9/17*a^3*coth(d*x+c)^17/d-1/19*a^3*coth(d*x+c)^19/d,1],
[sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4),x,6,-1/2*a*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/sqrt(sqrt(a)-sqrt(b))/b^(7/4)/d+1/2*a*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/sqrt(sqrt(a)+sqrt(b))/b^(7/4)/d+cosh(d*x+c)/b/d-1/3*cosh(d*x+c)^3/b/d,1],
[sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4),x,6,1/2*sqrt(a)*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/sqrt(sqrt(a)-sqrt(b))/b^(5/4)/d+1/2*sqrt(a)*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/sqrt(sqrt(a)+sqrt(b))/b^(5/4)/d-cosh(d*x+c)/b/d,1],
[sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4),x,4,-1/2*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/sqrt(sqrt(a)-sqrt(b))/b^(3/4)/d+1/2*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/sqrt(sqrt(a)+sqrt(b))/b^(3/4)/d,1],
[sinh(d*x+c)/(a-b*sinh(d*x+c)^4),x,4,1/2*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/sqrt(a)/sqrt(sqrt(a)-sqrt(b))/b^(1/4)/d+1/2*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/sqrt(a)/sqrt(sqrt(a)+sqrt(b))/b^(1/4)/d,1],
[csch(d*x+c)/(a-b*sinh(d*x+c)^4),x,6,-1/2*b^(1/4)*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/a/sqrt(sqrt(a)-sqrt(b))/d-arctanh(cosh(d*x+c))/a/d+1/2*b^(1/4)*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/a/sqrt(sqrt(a)+sqrt(b))/d,1],
[csch(d*x+c)^3/(a-b*sinh(d*x+c)^4),x,8,1/2*b^(3/4)*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/a^(3/2)/sqrt(sqrt(a)-sqrt(b))/d+1/2*arctanh(cosh(d*x+c))/a/d+1/2*b^(3/4)*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/a^(3/2)/sqrt(sqrt(a)+sqrt(b))/d-1/2*coth(d*x+c)*csch(d*x+c)/a/d,1],
[sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4),x,8,1/2*x/b-1/2*a^(3/4)*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/sqrt(sqrt(a)-sqrt(b))/b^(3/2)/d+1/2*a^(3/4)*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/sqrt(sqrt(a)+sqrt(b))/b^(3/2)/d-1/2*cosh(d*x+c)*sinh(d*x+c)/b/d,1],
[sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4),x,7,-x/b+1/2*a^(1/4)*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/sqrt(sqrt(a)-sqrt(b))/b/d+1/2*a^(1/4)*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/sqrt(sqrt(a)+sqrt(b))/b/d,1],
[sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4),x,4,-1/2*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(1/4)/sqrt(sqrt(a)-sqrt(b))/sqrt(b)/d+1/2*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(1/4)/sqrt(sqrt(a)+sqrt(b))/sqrt(b)/d,1],
[1/(a-b*sinh(d*x+c)^4),x,4,1/2*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(3/4)/sqrt(sqrt(a)-sqrt(b))/d+1/2*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(3/4)/sqrt(sqrt(a)+sqrt(b))/d,1],
[csch(d*x+c)^2/(a-b*sinh(d*x+c)^4),x,6,-1/2*sqrt(b)*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(5/4)/sqrt(sqrt(a)-sqrt(b))/d+1/2*sqrt(b)*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(5/4)/sqrt(sqrt(a)+sqrt(b))/d-coth(d*x+c)/a/d,1],
[csch(d*x+c)^4/(a-b*sinh(d*x+c)^4),x,6,1/2*b*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(7/4)/sqrt(sqrt(a)-sqrt(b))/d+1/2*b*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(7/4)/sqrt(sqrt(a)+sqrt(b))/d+coth(d*x+c)/a/d-1/3*coth(d*x+c)^3/a/d,1],
[sinh(d*x+c)^9/(a-b*sinh(d*x+c)^4)^2,x,6,-1/8*sqrt(a)*(5*sqrt(a)-6*sqrt(b))*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/(sqrt(a)-sqrt(b))^(3/2)/b^(9/4)/d-1/8*sqrt(a)*(5*sqrt(a)+6*sqrt(b))*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/(sqrt(a)+sqrt(b))^(3/2)/b^(9/4)/d+cosh(d*x+c)/b^2/d+1/4*a*cosh(d*x+c)*(a+b-b*cosh(d*x+c)^2)/(a-b)/b^2/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4)^2,x,5,1/8*(3*sqrt(a)-4*sqrt(b))*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/(sqrt(a)-sqrt(b))^(3/2)/b^(7/4)/d-1/8*(3*sqrt(a)+4*sqrt(b))*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/(sqrt(a)+sqrt(b))^(3/2)/b^(7/4)/d-1/4*a*cosh(d*x+c)*(2-cosh(d*x+c)^2)/(a-b)/b/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4)^2,x,5,-1/8*(sqrt(a)-2*sqrt(b))*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/sqrt(a)/(sqrt(a)-sqrt(b))^(3/2)/b^(5/4)/d-1/8*(sqrt(a)+2*sqrt(b))*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/sqrt(a)/(sqrt(a)+sqrt(b))^(3/2)/b^(5/4)/d+1/4*cosh(d*x+c)*(a+b-b*cosh(d*x+c)^2)/(a-b)/b/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4)^2,x,5,-1/8*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/sqrt(a)/(sqrt(a)-sqrt(b))^(3/2)/b^(3/4)/d+1/8*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/sqrt(a)/(sqrt(a)+sqrt(b))^(3/2)/b^(3/4)/d-1/4*cosh(d*x+c)*(2-cosh(d*x+c)^2)/(a-b)/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[sinh(d*x+c)/(a-b*sinh(d*x+c)^4)^2,x,5,1/8*(3*sqrt(a)-2*sqrt(b))*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/a^(3/2)/(sqrt(a)-sqrt(b))^(3/2)/b^(1/4)/d+1/8*(3*sqrt(a)+2*sqrt(b))*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/a^(3/2)/(sqrt(a)+sqrt(b))^(3/2)/b^(1/4)/d+1/4*cosh(d*x+c)*(a+b-b*cosh(d*x+c)^2)/a/(a-b)/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[csch(d*x+c)/(a-b*sinh(d*x+c)^4)^2,x,8,-1/8*(5*sqrt(a)-4*sqrt(b))*b^(1/4)*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/a^2/(sqrt(a)-sqrt(b))^(3/2)/d-arctanh(cosh(d*x+c))/a^2/d+1/8*(5*sqrt(a)+4*sqrt(b))*b^(1/4)*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/a^2/(sqrt(a)+sqrt(b))^(3/2)/d-1/4*b*cosh(d*x+c)*(2-cosh(d*x+c)^2)/a/(a-b)/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[sinh(d*x+c)^8/(a-b*sinh(d*x+c)^4)^2,x,8,x/b^2-1/8*a^(1/4)*(4*sqrt(a)-5*sqrt(b))*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/(sqrt(a)-sqrt(b))^(3/2)/b^2/d-1/8*a^(1/4)*(4*sqrt(a)+5*sqrt(b))*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/(sqrt(a)+sqrt(b))^(3/2)/b^2/d-1/4*a*tanh(d*x+c)*(1-2*tanh(d*x+c)^2)/(a-b)/b/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4)^2,x,5,1/8*(2*sqrt(a)-3*sqrt(b))*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(1/4)/(sqrt(a)-sqrt(b))^(3/2)/b^(3/2)/d-1/8*(2*sqrt(a)+3*sqrt(b))*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(1/4)/(sqrt(a)+sqrt(b))^(3/2)/b^(3/2)/d+1/4*tanh(d*x+c)*(a-(a+b)*tanh(d*x+c)^2)/(a-b)/b/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4)^2,x,5,1/8*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(3/4)/(sqrt(a)-sqrt(b))^(3/2)/sqrt(b)/d-1/8*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(3/4)/(sqrt(a)+sqrt(b))^(3/2)/sqrt(b)/d-1/4*tanh(d*x+c)*(1-2*tanh(d*x+c)^2)/(a-b)/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4)^2,x,5,-1/8*(2*sqrt(a)-sqrt(b))*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(5/4)/(sqrt(a)-sqrt(b))^(3/2)/sqrt(b)/d+1/8*(2*sqrt(a)+sqrt(b))*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(5/4)/(sqrt(a)+sqrt(b))^(3/2)/sqrt(b)/d+1/4*tanh(d*x+c)*(a-(a+b)*tanh(d*x+c)^2)/a/(a-b)/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[1/(a-b*sinh(d*x+c)^4)^2,x,5,1/8*(4*sqrt(a)-3*sqrt(b))*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(7/4)/(sqrt(a)-sqrt(b))^(3/2)/d+1/8*(4*sqrt(a)+3*sqrt(b))*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(7/4)/(sqrt(a)+sqrt(b))^(3/2)/d-1/4*b*tanh(d*x+c)*(1-2*tanh(d*x+c)^2)/a/(a-b)/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[csch(d*x+c)^2/(a-b*sinh(d*x+c)^4)^2,x,7,-1/8*(6*sqrt(a)-5*sqrt(b))*sqrt(b)*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(9/4)/(sqrt(a)-sqrt(b))^(3/2)/d+1/8*(6*sqrt(a)+5*sqrt(b))*sqrt(b)*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(9/4)/(sqrt(a)+sqrt(b))^(3/2)/d-coth(d*x+c)/a^2/d+1/4*b*tanh(d*x+c)*(a-(a+b)*tanh(d*x+c)^2)/a^2/(a-b)/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[sinh(d*x+c)^9/(a-b*sinh(d*x+c)^4)^3,x,6,1/64*(5*a-14*sqrt(a)*sqrt(b)+12*b)*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/sqrt(a)/(sqrt(a)-sqrt(b))^(5/2)/b^(9/4)/d+1/64*(5*a+14*sqrt(a)*sqrt(b)+12*b)*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/sqrt(a)/(sqrt(a)+sqrt(b))^(5/2)/b^(9/4)/d+1/8*a*cosh(d*x+c)*(a+b-b*cosh(d*x+c)^2)/(a-b)/b^2/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4)^2-1/32*cosh(d*x+c)*(9*a^2-11*a*b-10*b^2-2*(2*a-5*b)*b*cosh(d*x+c)^2)/(a-b)^2/b^2/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[sinh(d*x+c)^7/(a-b*sinh(d*x+c)^4)^3,x,6,3/64*(sqrt(a)-2*sqrt(b))*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/sqrt(a)/(sqrt(a)-sqrt(b))^(5/2)/b^(7/4)/d-3/64*(sqrt(a)+2*sqrt(b))*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/sqrt(a)/(sqrt(a)+sqrt(b))^(5/2)/b^(7/4)/d-1/8*a*cosh(d*x+c)*(2-cosh(d*x+c)^2)/(a-b)/b/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4)^2+1/32*cosh(d*x+c)*(5*a-17*b-3*(a-3*b)*cosh(d*x+c)^2)/(a-b)^2/b/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[sinh(d*x+c)^5/(a-b*sinh(d*x+c)^4)^3,x,6,-1/64*(3*a-10*sqrt(a)*sqrt(b)+4*b)*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/a^(3/2)/(sqrt(a)-sqrt(b))^(5/2)/b^(5/4)/d-1/64*(3*a+10*sqrt(a)*sqrt(b)+4*b)*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/a^(3/2)/(sqrt(a)+sqrt(b))^(5/2)/b^(5/4)/d+1/8*cosh(d*x+c)*(a+b-b*cosh(d*x+c)^2)/(a-b)/b/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4)^2-1/32*cosh(d*x+c)*(a^2-11*a*b-2*b^2+2*b*(2*a+b)*cosh(d*x+c)^2)/a/(a-b)^2/b/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[sinh(d*x+c)^3/(a-b*sinh(d*x+c)^4)^3,x,6,-1/64*(5*sqrt(a)-2*sqrt(b))*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/a^(3/2)/(sqrt(a)-sqrt(b))^(5/2)/b^(3/4)/d+1/64*(5*sqrt(a)+2*sqrt(b))*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/a^(3/2)/(sqrt(a)+sqrt(b))^(5/2)/b^(3/4)/d-1/8*cosh(d*x+c)*(2-cosh(d*x+c)^2)/(a-b)/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4)^2-1/32*cosh(d*x+c)*(11*a+b-(5*a+b)*cosh(d*x+c)^2)/a/(a-b)^2/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[sinh(d*x+c)/(a-b*sinh(d*x+c)^4)^3,x,6,3/64*(7*a-10*sqrt(a)*sqrt(b)+4*b)*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/a^(5/2)/(sqrt(a)-sqrt(b))^(5/2)/b^(1/4)/d+3/64*(7*a+10*sqrt(a)*sqrt(b)+4*b)*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/a^(5/2)/(sqrt(a)+sqrt(b))^(5/2)/b^(1/4)/d+1/8*cosh(d*x+c)*(a+b-b*cosh(d*x+c)^2)/a/(a-b)/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4)^2+1/32*cosh(d*x+c)*((7*a-3*b)*(a+2*b)-6*(2*a-b)*b*cosh(d*x+c)^2)/a^2/(a-b)^2/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[csch(d*x+c)/(a-b*sinh(d*x+c)^4)^3,x,9,-1/64*b^(1/4)*(45*a-74*sqrt(a)*sqrt(b)+32*b)*arctan(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)-sqrt(b)))/a^3/(sqrt(a)-sqrt(b))^(5/2)/d-arctanh(cosh(d*x+c))/a^3/d+1/64*b^(1/4)*(45*a+74*sqrt(a)*sqrt(b)+32*b)*arctanh(b^(1/4)*cosh(d*x+c)/sqrt(sqrt(a)+sqrt(b)))/a^3/(sqrt(a)+sqrt(b))^(5/2)/d-1/8*b*cosh(d*x+c)*(2-cosh(d*x+c)^2)/a/(a-b)/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4)^2-1/32*b*cosh(d*x+c)*(27*a-15*b-(13*a-7*b)*cosh(d*x+c)^2)/a^2/(a-b)^2/d/(a-b+2*b*cosh(d*x+c)^2-b*cosh(d*x+c)^4),1],
[sinh(d*x+c)^8/(a-b*sinh(d*x+c)^4)^3,x,6,-1/64*(2*sqrt(a)-5*sqrt(b))*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(3/4)/(sqrt(a)-sqrt(b))^(5/2)/b^(3/2)/d+1/64*(2*sqrt(a)+5*sqrt(b))*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(3/4)/(sqrt(a)+sqrt(b))^(5/2)/b^(3/2)/d-1/8*a*tanh(d*x+c)*(3*a+b-4*(a+b)*tanh(d*x+c)^2)/(a-b)^3/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4)^2-1/32*tanh(d*x+c)*((a-9*b)*(a+b)/(a-b)^3-(a+19*b)*tanh(d*x+c)^2/(a-b)^2)/b/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[sinh(d*x+c)^6/(a-b*sinh(d*x+c)^4)^3,x,6,1/64*(4*a-10*sqrt(a)*sqrt(b)+3*b)*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(5/4)/(sqrt(a)-sqrt(b))^(5/2)/b^(3/2)/d-1/64*(4*a+10*sqrt(a)*sqrt(b)+3*b)*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(5/4)/(sqrt(a)+sqrt(b))^(5/2)/b^(3/2)/d+1/8*tanh(d*x+c)*(a*(a+3*b)-(a^2+6*a*b+b^2)*tanh(d*x+c)^2)/(a-b)^3/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4)^2+1/32*tanh(d*x+c)*(2*a*(a^2-a*b-8*b^2)/(a-b)^3-(2*a^2+15*a*b+3*b^2)*tanh(d*x+c)^2/(a-b)^2)/a/b/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[sinh(d*x+c)^4/(a-b*sinh(d*x+c)^4)^3,x,6,3/64*(2*sqrt(a)-sqrt(b))*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(7/4)/(sqrt(a)-sqrt(b))^(5/2)/sqrt(b)/d-3/64*(2*sqrt(a)+sqrt(b))*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(7/4)/(sqrt(a)+sqrt(b))^(5/2)/sqrt(b)/d-1/8*b*tanh(d*x+c)*(3*a+b-4*(a+b)*tanh(d*x+c)^2)/(a-b)^3/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4)^2-1/32*tanh(d*x+c)*((9*a^2-24*a*b-b^2)/(a-b)^3-(17*a+3*b)*tanh(d*x+c)^2/(a-b)^2)/a/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[sinh(d*x+c)^2/(a-b*sinh(d*x+c)^4)^3,x,6,-1/64*(12*a-14*sqrt(a)*sqrt(b)+5*b)*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(9/4)/(sqrt(a)-sqrt(b))^(5/2)/sqrt(b)/d+1/64*(12*a+14*sqrt(a)*sqrt(b)+5*b)*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(9/4)/(sqrt(a)+sqrt(b))^(5/2)/sqrt(b)/d+1/8*b*tanh(d*x+c)*(a*(a+3*b)-(a^2+6*a*b+b^2)*tanh(d*x+c)^2)/a/(a-b)^3/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4)^2+1/32*tanh(d*x+c)*(2*a*(5*a^2-9*a*b-4*b^2)/(a-b)^3-5*(2*a^2+3*a*b-b^2)*tanh(d*x+c)^2/(a-b)^2)/a^2/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[1/(a-b*sinh(d*x+c)^4)^3,x,6,1/64*(32*a-50*sqrt(a)*sqrt(b)+21*b)*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(11/4)/(sqrt(a)-sqrt(b))^(5/2)/d+1/64*(32*a+50*sqrt(a)*sqrt(b)+21*b)*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(11/4)/(sqrt(a)+sqrt(b))^(5/2)/d-1/8*b^2*tanh(d*x+c)*(3*a+b-4*(a+b)*tanh(d*x+c)^2)/a/(a-b)^3/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4)^2-1/32*b*tanh(d*x+c)*((17*a^2-40*a*b+7*b^2)/(a-b)^3-(33*a-13*b)*tanh(d*x+c)^2/(a-b)^2)/a^2/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[csch(d*x+c)^2/(a-b*sinh(d*x+c)^4)^3,x,8,-3/64*sqrt(b)*(20*a-34*sqrt(a)*sqrt(b)+15*b)*arctanh(sqrt(sqrt(a)-sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(13/4)/(sqrt(a)-sqrt(b))^(5/2)/d+3/64*sqrt(b)*(20*a+34*sqrt(a)*sqrt(b)+15*b)*arctanh(sqrt(sqrt(a)+sqrt(b))*tanh(d*x+c)/a^(1/4))/a^(13/4)/(sqrt(a)+sqrt(b))^(5/2)/d-coth(d*x+c)/a^3/d+1/8*b^2*tanh(d*x+c)*(a*(a+3*b)-(a^2+6*a*b+b^2)*tanh(d*x+c)^2)/a^2/(a-b)^3/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4)^2+1/32*b*tanh(d*x+c)*(2*a^2*(9*a-17*b)-(a-b)*(18*a^2+15*a*b-13*b^2)*tanh(d*x+c)^2)/a^3/(a-b)^3/d/(a-2*a*tanh(d*x+c)^2+(a-b)*tanh(d*x+c)^4),1],
[cosh(x)^5/(a+a*sinh(x)^2),x,3,sinh(x)/a+1/3*sinh(x)^3/a,1],
[cosh(x)^4/(a+a*sinh(x)^2),x,3,1/2*x/a+1/2*cosh(x)*sinh(x)/a,1],
[cosh(x)^3/(a+a*sinh(x)^2),x,2,sinh(x)/a,1],
[cosh(x)^2/(a+a*sinh(x)^2),x,2,x/a,1],
[cosh(x)/(a+a*sinh(x)^2),x,2,arctan(sinh(x))/a,1],
[sech(x)/(a+a*sinh(x)^2),x,3,1/2*arctan(sinh(x))/a+1/2*sech(x)*tanh(x)/a,1],
[sech(x)^3/(a+a*sinh(x)^2),x,4,3/8*arctan(sinh(x))/a+3/8*sech(x)*tanh(x)/a+1/4*sech(x)^3*tanh(x)/a,1],
[cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2),x,5,1/16*(6*a-b)*x+1/16*(6*a-b)*cosh(d*x+c)*sinh(d*x+c)/d+1/24*(6*a-b)*cosh(d*x+c)^3*sinh(d*x+c)/d+1/6*b*cosh(d*x+c)^5*sinh(d*x+c)/d,1],
[cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2),x,3,a*sinh(d*x+c)/d+1/3*(a+b)*sinh(d*x+c)^3/d+1/5*b*sinh(d*x+c)^5/d,1],
[cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2),x,4,1/8*(4*a-b)*x+1/8*(4*a-b)*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b*cosh(d*x+c)^3*sinh(d*x+c)/d,1],
[cosh(d*x+c)*(a+b*sinh(d*x+c)^2),x,2,a*sinh(d*x+c)/d+1/3*b*sinh(d*x+c)^3/d,1],
[sech(d*x+c)*(a+b*sinh(d*x+c)^2),x,3,(a-b)*arctan(sinh(d*x+c))/d+b*sinh(d*x+c)/d,1],
[sech(d*x+c)^2*(a+b*sinh(d*x+c)^2),x,3,b*x+(a-b)*tanh(d*x+c)/d,1],
[sech(d*x+c)^3*(a+b*sinh(d*x+c)^2),x,3,1/2*(a+b)*arctan(sinh(d*x+c))/d+1/2*(a-b)*sech(d*x+c)*tanh(d*x+c)/d,1],
[sech(d*x+c)^4*(a+b*sinh(d*x+c)^2),x,2,a*tanh(d*x+c)/d-1/3*(a-b)*tanh(d*x+c)^3/d,1],
[sech(d*x+c)^5*(a+b*sinh(d*x+c)^2),x,4,1/8*(3*a+b)*arctan(sinh(d*x+c))/d+1/8*(3*a+b)*sech(d*x+c)*tanh(d*x+c)/d+1/4*(a-b)*sech(d*x+c)^3*tanh(d*x+c)/d,1],
[sech(d*x+c)^6*(a+b*sinh(d*x+c)^2),x,3,a*tanh(d*x+c)/d-1/3*(2*a-b)*tanh(d*x+c)^3/d+1/5*(a-b)*tanh(d*x+c)^5/d,1],
[cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x,6,1/128*(48*a^2-16*a*b+3*b^2)*x+1/128*(48*a^2-16*a*b+3*b^2)*cosh(d*x+c)*sinh(d*x+c)/d+1/192*(48*a^2-16*a*b+3*b^2)*cosh(d*x+c)^3*sinh(d*x+c)/d+1/48*(16*a-9*b)*b*cosh(d*x+c)^5*sinh(d*x+c)/d+1/8*b^2*cosh(d*x+c)^7*sinh(d*x+c)/d,1],
[cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x,3,a^2*sinh(d*x+c)/d+1/3*a*(a+2*b)*sinh(d*x+c)^3/d+1/5*b*(2*a+b)*sinh(d*x+c)^5/d+1/7*b^2*sinh(d*x+c)^7/d,1],
[cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x,5,1/16*(8*a^2-4*a*b+b^2)*x+1/16*(8*a^2-4*a*b+b^2)*cosh(d*x+c)*sinh(d*x+c)/d+1/24*(12*a-7*b)*b*cosh(d*x+c)^3*sinh(d*x+c)/d+1/6*b^2*cosh(d*x+c)^5*sinh(d*x+c)/d,1],
[cosh(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x,3,a^2*sinh(d*x+c)/d+2/3*a*b*sinh(d*x+c)^3/d+1/5*b^2*sinh(d*x+c)^5/d,1],
[sech(d*x+c)*(a+b*sinh(d*x+c)^2)^2,x,4,(a-b)^2*arctan(sinh(d*x+c))/d+(2*a-b)*b*sinh(d*x+c)/d+1/3*b^2*sinh(d*x+c)^3/d,1],
[sech(d*x+c)^2*(a+b*sinh(d*x+c)^2)^2,x,4,1/2*(4*a-3*b)*b*x+1/2*b^2*cosh(d*x+c)*sinh(d*x+c)/d+(a-b)^2*tanh(d*x+c)/d,1],
[sech(d*x+c)^3*(a+b*sinh(d*x+c)^2)^2,x,4,1/2*(a-b)*(a+3*b)*arctan(sinh(d*x+c))/d+b^2*sinh(d*x+c)/d+1/2*(a-b)^2*sech(d*x+c)*tanh(d*x+c)/d,1],
[sech(d*x+c)^4*(a+b*sinh(d*x+c)^2)^2,x,4,b^2*x+(a^2-b^2)*tanh(d*x+c)/d-1/3*(a-b)^2*tanh(d*x+c)^3/d,1],
[sech(d*x+c)^5*(a+b*sinh(d*x+c)^2)^2,x,4,1/8*(3*a^2+2*a*b+3*b^2)*arctan(sinh(d*x+c))/d+1/8*(a-b)*(3*a+5*b)*sech(d*x+c)*tanh(d*x+c)/d+1/4*(a-b)^2*sech(d*x+c)^3*tanh(d*x+c)/d,1],
[sech(d*x+c)^6*(a+b*sinh(d*x+c)^2)^2,x,3,a^2*tanh(d*x+c)/d-2/3*a*(a-b)*tanh(d*x+c)^3/d+1/5*(a-b)^2*tanh(d*x+c)^5/d,1],
[sech(d*x+c)^7*(a+b*sinh(d*x+c)^2)^2,x,5,1/16*(5*a^2+2*a*b+b^2)*arctan(sinh(d*x+c))/d+1/16*(5*a^2+2*a*b+b^2)*sech(d*x+c)*tanh(d*x+c)/d+1/24*(a-b)*(5*a+7*b)*sech(d*x+c)^3*tanh(d*x+c)/d+1/6*(a-b)^2*sech(d*x+c)^5*tanh(d*x+c)/d,1],
[cosh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x,7,3/256*(4*a-b)*(8*a^2-2*a*b+b^2)*x+3/256*(4*a-b)*(8*a^2-2*a*b+b^2)*cosh(d*x+c)*sinh(d*x+c)/d+1/128*(4*a-b)*(8*a^2-2*a*b+b^2)*cosh(d*x+c)^3*sinh(d*x+c)/d+1/160*b*(80*a^2-90*a*b+31*b^2)*cosh(d*x+c)^5*sinh(d*x+c)/d+3/80*(10*a-7*b)*b^2*cosh(d*x+c)^7*sinh(d*x+c)/d+1/10*b^3*cosh(d*x+c)^9*sinh(d*x+c)/d,1],
[cosh(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x,3,a^3*sinh(d*x+c)/d+1/3*a^2*(a+3*b)*sinh(d*x+c)^3/d+3/5*a*b*(a+b)*sinh(d*x+c)^5/d+1/7*b^2*(3*a+b)*sinh(d*x+c)^7/d+1/9*b^3*sinh(d*x+c)^9/d,1],
[cosh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x,6,1/128*(64*a^3-48*a^2*b+24*a*b^2-5*b^3)*x+1/128*(64*a^3-48*a^2*b+24*a*b^2-5*b^3)*cosh(d*x+c)*sinh(d*x+c)/d+1/192*b*(144*a^2-168*a*b+59*b^2)*cosh(d*x+c)^3*sinh(d*x+c)/d+1/48*(24*a-17*b)*b^2*cosh(d*x+c)^5*sinh(d*x+c)/d+1/8*b^3*cosh(d*x+c)^7*sinh(d*x+c)/d,1],
[cosh(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x,3,a^3*sinh(d*x+c)/d+a^2*b*sinh(d*x+c)^3/d+3/5*a*b^2*sinh(d*x+c)^5/d+1/7*b^3*sinh(d*x+c)^7/d,1],
[sech(d*x+c)*(a+b*sinh(d*x+c)^2)^3,x,4,(a-b)^3*arctan(sinh(d*x+c))/d+b*(3*a^2-3*a*b+b^2)*sinh(d*x+c)/d+1/3*(3*a-b)*b^2*sinh(d*x+c)^3/d+1/5*b^3*sinh(d*x+c)^5/d,1],
[sech(d*x+c)^2*(a+b*sinh(d*x+c)^2)^3,x,5,3/8*b*(8*a^2-12*a*b+5*b^2)*x+3/8*(4*a-3*b)*b^2*cosh(d*x+c)*sinh(d*x+c)/d+1/4*b^3*cosh(d*x+c)^3*sinh(d*x+c)/d+(a-b)^3*tanh(d*x+c)/d,1],
[sech(d*x+c)^3*(a+b*sinh(d*x+c)^2)^3,x,5,1/2*(a-b)^2*(a+5*b)*arctan(sinh(d*x+c))/d+(3*a-2*b)*b^2*sinh(d*x+c)/d+1/3*b^3*sinh(d*x+c)^3/d+1/2*(a-b)^3*sech(d*x+c)*tanh(d*x+c)/d,1],
[sech(d*x+c)^4*(a+b*sinh(d*x+c)^2)^3,x,5,1/2*(6*a-5*b)*b^2*x+1/2*b^3*cosh(d*x+c)*sinh(d*x+c)/d+(a-b)^2*(a+2*b)*tanh(d*x+c)/d-1/3*(a-b)^3*tanh(d*x+c)^3/d,1],
[sech(d*x+c)^5*(a+b*sinh(d*x+c)^2)^3,x,5,3/8*(a-b)*(4*b^2+(a+b)^2)*arctan(sinh(d*x+c))/d+b^3*sinh(d*x+c)/d+3/8*(a-b)^2*(a+3*b)*sech(d*x+c)*tanh(d*x+c)/d+1/4*(a-b)^3*sech(d*x+c)^3*tanh(d*x+c)/d,1],
[sech(d*x+c)^6*(a+b*sinh(d*x+c)^2)^3,x,4,b^3*x+(a^3-b^3)*tanh(d*x+c)/d-1/3*(a-b)^2*(2*a+b)*tanh(d*x+c)^3/d+1/5*(a-b)^3*tanh(d*x+c)^5/d,1],
[sech(d*x+c)^7*(a+b*sinh(d*x+c)^2)^3,x,5,1/16*(a+b)*(5*a^2-2*a*b+5*b^2)*arctan(sinh(d*x+c))/d+1/16*(a-b)*(5*a^2+8*a*b+11*b^2)*sech(d*x+c)*tanh(d*x+c)/d+1/24*(a-b)^2*(5*a+13*b)*sech(d*x+c)^3*tanh(d*x+c)/d+1/6*(a-b)^3*sech(d*x+c)^5*tanh(d*x+c)/d,1],
[sech(d*x+c)^8*(a+b*sinh(d*x+c)^2)^3,x,3,a^3*tanh(d*x+c)/d-a^2*(a-b)*tanh(d*x+c)^3/d+3/5*a*(a-b)^2*tanh(d*x+c)^5/d-1/7*(a-b)^3*tanh(d*x+c)^7/d,1],
[cosh(d*x+c)^7/(a+b*sinh(d*x+c)^2),x,4,-(a-b)^3*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/b^(7/2)/d+(a^2-3*a*b+3*b^2)*sinh(d*x+c)/b^3/d-1/3*(a-3*b)*sinh(d*x+c)^3/b^2/d+1/5*sinh(d*x+c)^5/b/d,1],
[cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2),x,6,1/8*(8*a^2-20*a*b+15*b^2)*x/b^3-(a-b)^(5/2)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/b^3/d-1/8*(4*a-7*b)*cosh(d*x+c)*sinh(d*x+c)/b^2/d+1/4*cosh(d*x+c)^3*sinh(d*x+c)/b/d,1],
[cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2),x,4,(a-b)^2*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/b^(5/2)/d-(a-2*b)*sinh(d*x+c)/b^2/d+1/3*sinh(d*x+c)^3/b/d,1],
[cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2),x,5,-1/2*(2*a-3*b)*x/b^2+(a-b)^(3/2)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/b^2/d+1/2*cosh(d*x+c)*sinh(d*x+c)/b/d,1],
[cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2),x,3,-(a-b)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/b^(3/2)/d+sinh(d*x+c)/b/d,1],
[cosh(d*x+c)^2/(a+b*sinh(d*x+c)^2),x,4,x/b-sqrt(a-b)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/b/d,1],
[cosh(d*x+c)/(a+b*sinh(d*x+c)^2),x,2,arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/sqrt(b)/d,1],
[sech(d*x+c)/(a+b*sinh(d*x+c)^2),x,4,arctan(sinh(d*x+c))/(a-b)/d-sqrt(b)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/(a-b)/d,1],
[sech(d*x+c)^2/(a+b*sinh(d*x+c)^2),x,3,-b*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/(a-b)^(3/2)/d+tanh(d*x+c)/(a-b)/d,1],
[sech(d*x+c)^3/(a+b*sinh(d*x+c)^2),x,5,1/2*(a-3*b)*arctan(sinh(d*x+c))/(a-b)^2/d+b^(3/2)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/(a-b)^2/d+1/2*sech(d*x+c)*tanh(d*x+c)/(a-b)/d,1],
[sech(d*x+c)^4/(a+b*sinh(d*x+c)^2),x,4,b^2*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/(a-b)^(5/2)/d+(a-2*b)*tanh(d*x+c)/(a-b)^2/d-1/3*tanh(d*x+c)^3/(a-b)/d,1],
[sech(d*x+c)^5/(a+b*sinh(d*x+c)^2),x,6,1/8*(3*a^2-10*a*b+15*b^2)*arctan(sinh(d*x+c))/(a-b)^3/d-b^(5/2)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/sqrt(a)/(a-b)^3/d+1/8*(3*a-7*b)*sech(d*x+c)*tanh(d*x+c)/(a-b)^2/d+1/4*sech(d*x+c)^3*tanh(d*x+c)/(a-b)/d,1],
[sech(d*x+c)^6/(a+b*sinh(d*x+c)^2),x,4,-b^3*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/sqrt(a)/(a-b)^(7/2)/d+(a^2-3*a*b+3*b^2)*tanh(d*x+c)/(a-b)^3/d-1/3*(2*a-3*b)*tanh(d*x+c)^3/(a-b)^2/d+1/5*tanh(d*x+c)^5/(a-b)/d,1],
[cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2)^2,x,6,-1/2*(4*a-5*b)*x/b^3+1/2*(a-b)^(3/2)*(4*a+b)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/b^3/d+1/2*cosh(d*x+c)*sinh(d*x+c)/b/d/(a-(a-b)*tanh(d*x+c)^2)+1/2*(a-b)*(2*a-b)*tanh(d*x+c)/a/b^2/d/(a-(a-b)*tanh(d*x+c)^2),1],
[cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2)^2,x,4,-1/2*(3*a^2-2*a*b-b^2)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/b^(5/2)/d+sinh(d*x+c)/b^2/d+1/2*(a-b)^2*sinh(d*x+c)/a/b^2/d/(a+b*sinh(d*x+c)^2),1],
[cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x,5,x/b^2-1/2*sqrt(a-b)*(2*a+b)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/b^2/d-1/2*(a-b)*tanh(d*x+c)/a/b/d/(a-(a-b)*tanh(d*x+c)^2),1],
[cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x,3,1/2*(a+b)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/b^(3/2)/d-1/2*(a-b)*sinh(d*x+c)/a/b/d/(a+b*sinh(d*x+c)^2),1],
[cosh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x,3,1/2*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/sqrt(a-b)/d+1/2*tanh(d*x+c)/a/d/(a-(a-b)*tanh(d*x+c)^2),1],
[cosh(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x,3,1/2*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/sqrt(b)/d+1/2*sinh(d*x+c)/a/d/(a+b*sinh(d*x+c)^2),1],
[sech(d*x+c)/(a+b*sinh(d*x+c)^2)^2,x,5,arctan(sinh(d*x+c))/(a-b)^2/d-1/2*(3*a-b)*sqrt(b)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/(a-b)^2/d-1/2*b*sinh(d*x+c)/a/(a-b)/d/(a+b*sinh(d*x+c)^2),1],
[sech(d*x+c)^2/(a+b*sinh(d*x+c)^2)^2,x,4,-1/2*(4*a-b)*b*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/(a-b)^(5/2)/d+tanh(d*x+c)/(a-b)^2/d+1/2*b^2*tanh(d*x+c)/a/(a-b)^2/d/(a-(a-b)*tanh(d*x+c)^2),1],
[sech(d*x+c)^3/(a+b*sinh(d*x+c)^2)^2,x,6,1/2*(a-5*b)*arctan(sinh(d*x+c))/(a-b)^3/d+1/2*(5*a-b)*b^(3/2)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/a^(3/2)/(a-b)^3/d+1/2*b*(a+b)*sinh(d*x+c)/a/(a-b)^2/d/(a+b*sinh(d*x+c)^2)+1/2*sech(d*x+c)*tanh(d*x+c)/(a-b)/d/(a+b*sinh(d*x+c)^2),1],
[sech(d*x+c)^4/(a+b*sinh(d*x+c)^2)^2,x,5,1/2*(6*a-b)*b^2*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(3/2)/(a-b)^(7/2)/d+(a-3*b)*tanh(d*x+c)/(a-b)^3/d-1/3*tanh(d*x+c)^3/(a-b)^2/d-1/2*b^3*tanh(d*x+c)/a/(a-b)^3/d/(a-(a-b)*tanh(d*x+c)^2),1],
[cosh(d*x+c)^6/(a+b*sinh(d*x+c)^2)^3,x,6,x/b^3-1/8*sqrt(a-b)*(8*a^2+4*a*b+3*b^2)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/b^3/d-1/4*(a-b)*tanh(d*x+c)/a/b/d/(a-(a-b)*tanh(d*x+c)^2)^2-1/8*(a-b)*(4*a+3*b)*tanh(d*x+c)/a^2/b^2/d/(a-(a-b)*tanh(d*x+c)^2),1],
[cosh(d*x+c)^5/(a+b*sinh(d*x+c)^2)^3,x,4,1/8*(3*a^2+2*a*b+3*b^2)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/a^(5/2)/b^(5/2)/d+1/4*(a-b)^2*sinh(d*x+c)/a/b^2/d/(a+b*sinh(d*x+c)^2)^2-1/8*(a-b)*(5*a+3*b)*sinh(d*x+c)/a^2/b^2/d/(a+b*sinh(d*x+c)^2),1],
[cosh(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x,4,3/8*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/sqrt(a-b)/d+1/4*tanh(d*x+c)/a/d/(a-(a-b)*tanh(d*x+c)^2)^2+3/8*tanh(d*x+c)/a^2/d/(a-(a-b)*tanh(d*x+c)^2),1],
[cosh(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x,4,1/8*(a+3*b)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/a^(5/2)/b^(3/2)/d-1/4*(a-b)*sinh(d*x+c)/a/b/d/(a+b*sinh(d*x+c)^2)^2+1/8*(a+3*b)*sinh(d*x+c)/a^2/b/d/(a+b*sinh(d*x+c)^2),1],
[cosh(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x,4,1/8*(4*a-3*b)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/(a-b)^(3/2)/d-1/4*b*tanh(d*x+c)/a/(a-b)/d/(a-(a-b)*tanh(d*x+c)^2)^2+1/8*(4*a-3*b)*tanh(d*x+c)/a^2/(a-b)/d/(a-(a-b)*tanh(d*x+c)^2),1],
[cosh(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x,4,3/8*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/a^(5/2)/sqrt(b)/d+1/4*sinh(d*x+c)/a/d/(a+b*sinh(d*x+c)^2)^2+3/8*sinh(d*x+c)/a^2/d/(a+b*sinh(d*x+c)^2),1],
[sech(d*x+c)/(a+b*sinh(d*x+c)^2)^3,x,6,arctan(sinh(d*x+c))/(a-b)^3/d-1/8*sqrt(b)*(15*a^2-10*a*b+3*b^2)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/a^(5/2)/(a-b)^3/d-1/4*b*sinh(d*x+c)/a/(a-b)/d/(a+b*sinh(d*x+c)^2)^2-1/8*(7*a-3*b)*b*sinh(d*x+c)/a^2/(a-b)^2/d/(a+b*sinh(d*x+c)^2),1],
[sech(d*x+c)^2/(a+b*sinh(d*x+c)^2)^3,x,6,-3/8*b*(8*a^2-4*a*b+b^2)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/(a-b)^(7/2)/d+tanh(d*x+c)/(a-b)^3/d-1/4*b^3*tanh(d*x+c)/a/(a-b)^3/d/(a-(a-b)*tanh(d*x+c)^2)^2+3/8*(4*a-b)*b^2*tanh(d*x+c)/a^2/(a-b)^3/d/(a-(a-b)*tanh(d*x+c)^2),1],
[sech(d*x+c)^3/(a+b*sinh(d*x+c)^2)^3,x,7,1/2*(a-7*b)*arctan(sinh(d*x+c))/(a-b)^4/d+1/8*b^(3/2)*(35*a^2-14*a*b+3*b^2)*arctan(sqrt(b)*sinh(d*x+c)/sqrt(a))/a^(5/2)/(a-b)^4/d+1/4*b*(2*a+b)*sinh(d*x+c)/a/(a-b)^2/d/(a+b*sinh(d*x+c)^2)^2+1/8*(4*a-b)*b*(a+3*b)*sinh(d*x+c)/a^2/(a-b)^3/d/(a+b*sinh(d*x+c)^2)+1/2*sech(d*x+c)*tanh(d*x+c)/(a-b)/d/(a+b*sinh(d*x+c)^2)^2,1],
[sech(d*x+c)^4/(a+b*sinh(d*x+c)^2)^3,x,6,1/8*b^2*(48*a^2-16*a*b+3*b^2)*arctanh(sqrt(a-b)*tanh(d*x+c)/sqrt(a))/a^(5/2)/(a-b)^(9/2)/d+(a-4*b)*tanh(d*x+c)/(a-b)^4/d-1/3*tanh(d*x+c)^3/(a-b)^3/d+1/4*b^4*tanh(d*x+c)/a/(a-b)^4/d/(a-(a-b)*tanh(d*x+c)^2)^2-1/8*(16*a-3*b)*b^3*tanh(d*x+c)/a^2/(a-b)^4/d/(a-(a-b)*tanh(d*x+c)^2),1],
[cosh(x)^2/(1-sinh(x)^2),x,4,-x+sqrt(2)*arctanh(sqrt(2)*tanh(x)),1],
[cosh(x)^3/(1-sinh(x)^2),x,3,2*arctanh(sinh(x))-sinh(x),1],
[cosh(x)^4/(1-sinh(x)^2),x,5,-5/2*x+2*sqrt(2)*arctanh(sqrt(2)*tanh(x))-1/2*cosh(x)*sinh(x),1],
[cosh(f*x+e)^3*sqrt(a+b*sinh(f*x+e)^2),x,5,-1/8*a*(a-4*b)*arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/b^(3/2)/f-1/8*(a-4*b)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f+1/4*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2)/b/f,1],
[cosh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2),x,4,1/2*a*arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/sqrt(b)/f+1/2*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f,1],
[sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2),x,6,sqrt(a-b)*arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/f+sqrt(b)*arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/f,1],
[sech(f*x+e)^3*sqrt(a+b*sinh(f*x+e)^2),x,4,1/2*a*arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/sqrt(a-b)/f+1/2*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[sech(f*x+e)^5*sqrt(a+b*sinh(f*x+e)^2),x,5,1/8*a*(3*a-4*b)*arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/(a-b)^(3/2)/f+1/8*(3*a-2*b)*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/(a-b)/f+1/4*sech(f*x+e)^3*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[cosh(f*x+e)^4*sqrt(a+b*sinh(f*x+e)^2),x,7,1/15*(a+3*b)*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f+1/5*cosh(f*x+e)^3*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f+1/15*(2*a^2-7*a*b-3*b^2)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/15*(a-9*b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/15*(2*a^2-7*a*b-3*b^2)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/b^2/f,1],
[cosh(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2),x,6,1/3*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-1/3*(a+b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+2/3*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(a+b)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/b/f,1],
[sqrt(a+b*sinh(f*x+e)^2),x,2,-I*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt((a+b*sinh(f*x+e)^2)/a),1],
[sech(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2),x,2,EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a),1],
[sech(f*x+e)^4*sqrt(a+b*sinh(f*x+e)^2),x,3,1/3*(2*a-b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/3*b*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*sech(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x,6,-1/16*a^2*(a-6*b)*arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/b^(3/2)/f-1/16*a*(a-6*b)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f-1/24*(a-6*b)*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2)/b/f+1/6*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(5/2)/b/f,1],
[cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x,5,3/8*a^2*arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/sqrt(b)/f+3/8*a*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f+1/4*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2)/f,1],
[sech(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x,7,(a-b)^(3/2)*arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/f+1/2*(3*a-2*b)*sqrt(b)*arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/f+1/2*b*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f,1],
[sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x,7,1/2*sqrt(a-b)*(a+2*b)*arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/f+b^(3/2)*arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/f+1/2*(a-b)*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[sech(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x,5,3/8*a^2*arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/sqrt(a-b)/f+3/8*a*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f+1/4*sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)/f,1],
[sech(f*x+e)^7*(a+b*sinh(f*x+e)^2)^(3/2),x,6,1/16*a^2*(5*a-6*b)*arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/(a-b)^(3/2)/f+1/16*a*(5*a-6*b)*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/(a-b)/f+1/24*(5*a-6*b)*sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)/(a-b)/f+1/6*sech(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(5/2)*tanh(f*x+e)/(a-b)/f,1],
[cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x,8,-1/35*(2*a^2-9*a*b-b^2)*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f+3/35*(a+b)*cosh(f*x+e)*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2)/b/f+1/7*cosh(f*x+e)^3*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2)/f+2/35*(a+b)*(a^2-6*a*b+b^2)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/35*(a^2-18*a*b+b^2)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-2/35*(a+b)*(a^2-6*a*b+b^2)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/b^2/f,1],
[cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x,7,1/15*(3*a+b)*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f+1/5*cosh(f*x+e)*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2)/f-1/15*(3*a^2+7*a*b-2*b^2)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/15*(9*a-b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/15*(3*a^2+7*a*b-2*b^2)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/b/f,1],
[(a+b*sinh(f*x+e)^2)^(3/2),x,6,1/3*b*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-2/3*I*(2*a-b)*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt((a+b*sinh(f*x+e)^2)/a)+1/3*I*a*(a-b)*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x,3,(a-2*b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+b*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+b*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x,3,2/3*(a+b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/3*b*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(a-b)*sech(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[cosh(f*x+e)^3/sqrt(a+b*sinh(f*x+e)^2),x,4,-1/2*(a-2*b)*arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/b^(3/2)/f+1/2*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f,1],
[cosh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2),x,3,arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/sqrt(b)/f,1],
[sech(f*x+e)/sqrt(a+b*sinh(f*x+e)^2),x,3,arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/sqrt(a-b)/f,1],
[sech(f*x+e)^3/sqrt(a+b*sinh(f*x+e)^2),x,4,1/2*(a-2*b)*arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/(a-b)^(3/2)/f+1/2*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/(a-b)/f,1],
[cosh(f*x+e)^4/sqrt(a+b*sinh(f*x+e)^2),x,6,1/3*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f+2/3*(a-2*b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/3*(a-3*b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/b/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-2/3*(a-2*b)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/b^2/f,1],
[cosh(f*x+e)^2/sqrt(a+b*sinh(f*x+e)^2),x,3,-EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/b/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/b/f,1],
[1/sqrt(a+b*sinh(f*x+e)^2),x,2,-I*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[sech(f*x+e)^2/sqrt(a+b*sinh(f*x+e)^2),x,2,EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-b*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/(a-b)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a),1],
[sech(f*x+e)^4/sqrt(a+b*sinh(f*x+e)^2),x,3,2/3*(a-2*b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)-1/3*(a-3*b)*b*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/(a-b)^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*sech(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/(a-b)/f,1],
[cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x,4,arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/b^(3/2)/f-(a-b)*sinh(f*x+e)/a/b/f/sqrt(a+b*sinh(f*x+e)^2),1],
[cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x,2,sinh(f*x+e)/a/f/sqrt(a+b*sinh(f*x+e)^2),1],
[sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x,4,arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/(a-b)^(3/2)/f-b*sinh(f*x+e)/a/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[sech(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x,5,1/2*(a-4*b)*arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/(a-b)^(5/2)/f+1/2*b*(a+2*b)*sinh(f*x+e)/a/(a-b)^2/f/sqrt(a+b*sinh(f*x+e)^2)+1/2*sech(f*x+e)*tanh(f*x+e)/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(3/2),x,4,-2/3*(2*a-3*b)*cosh(f*x+e)*sinh(f*x+e)/b^2/f/sqrt(a+b*sinh(f*x+e)^2)+1/3*cosh(f*x+e)^3*sinh(f*x+e)/b/f/sqrt(a+b*sinh(f*x+e)^2)+1/3*(8*a^2-13*a*b+3*b^2)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/sqrt(a)/b^(5/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-2/3*sqrt(a)*(2*a-3*b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/b^(5/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x,3,cosh(f*x+e)*sinh(f*x+e)/b/f/sqrt(a+b*sinh(f*x+e)^2)-(2*a-b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/sqrt(a)/b^(3/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+sqrt(a)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/b^(3/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x,2,cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/sqrt(a)/sqrt(b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[1/(a+b*sinh(f*x+e)^2)^(3/2),x,4,-b*cosh(f*x+e)*sinh(f*x+e)/a/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2)-I*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/a/(a-b)/f/sqrt((a+b*sinh(f*x+e)^2)/a),1],
[sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x,3,sqrt(b)*(a+b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/sqrt(a)/(a-b)^2/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-2*sqrt(a)*sqrt(b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/(a-b)^2/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+tanh(f*x+e)/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[cosh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x,5,arctanh(sqrt(b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/b^(5/2)/f+1/3*(a-b)^2*sinh(f*x+e)/a/b^2/f/(a+b*sinh(f*x+e)^2)^(3/2)-2/3*(a-b)*(2*a+b)*sinh(f*x+e)/a^2/b^2/f/sqrt(a+b*sinh(f*x+e)^2),1],
[cosh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x,3,-1/3*(a-b)*sinh(f*x+e)/a/b/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/3*(a+2*b)*sinh(f*x+e)/a^2/b/f/sqrt(a+b*sinh(f*x+e)^2),1],
[cosh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x,3,1/3*sinh(f*x+e)/a/f/(a+b*sinh(f*x+e)^2)^(3/2)+2/3*sinh(f*x+e)/a^2/f/sqrt(a+b*sinh(f*x+e)^2),1],
[sech(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x,5,arctan(sqrt(a-b)*sinh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2))/(a-b)^(5/2)/f-1/3*b*sinh(f*x+e)/a/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2)-1/3*(5*a-2*b)*b*sinh(f*x+e)/a^2/(a-b)^2/f/sqrt(a+b*sinh(f*x+e)^2),1],
[cosh(f*x+e)^6/(a+b*sinh(f*x+e)^2)^(5/2),x,4,-1/3*(a-b)*cosh(f*x+e)^3*sinh(f*x+e)/a/b/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/3*(4*a-b)*cosh(f*x+e)*sinh(f*x+e)/a/b^2/f/sqrt(a+b*sinh(f*x+e)^2)-1/3*(8*a^2-3*a*b-2*b^2)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/a^(3/2)/b^(5/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+1/3*(4*a-b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/sqrt(a)/b^(5/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[cosh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x,3,-1/3*(a-b)*cosh(f*x+e)*sinh(f*x+e)/a/b/f/(a+b*sinh(f*x+e)^2)^(3/2)+2/3*(a+b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/a^(3/2)/b^(3/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-1/3*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/sqrt(a)/b^(3/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x,3,1/3*cosh(f*x+e)*sinh(f*x+e)/a/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/3*(a-2*b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/a^(3/2)/(a-b)/sqrt(b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+1/3*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/sqrt(a)/(a-b)/sqrt(b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[1/(a+b*sinh(f*x+e)^2)^(5/2),x,7,-1/3*b*cosh(f*x+e)*sinh(f*x+e)/a/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2)-2/3*(2*a-b)*b*cosh(f*x+e)*sinh(f*x+e)/a^2/(a-b)^2/f/sqrt(a+b*sinh(f*x+e)^2)-2/3*I*(2*a-b)*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/a^2/(a-b)^2/f/sqrt((a+b*sinh(f*x+e)^2)/a)+1/3*I*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/a/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[sech(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x,4,1/3*b*(3*a+b)*cosh(f*x+e)*sinh(f*x+e)/a/(a-b)^2/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/3*sqrt(b)*(3*a^2+7*a*b-2*b^2)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/a^(3/2)/(a-b)^3/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-1/3*(9*a-b)*sqrt(b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/sqrt(a)/(a-b)^3/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+tanh(f*x+e)/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2),1],
[(d*cosh(f*x+e))^m*(a+b*sinh(f*x+e)^2)^p,x,4,d*AppellF1(1/2,1/2-1/2*m,-p,3/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*(d*cosh(f*x+e))^(-1+m)*(cosh(f*x+e)^2)^(1/2-1/2*m)*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^p/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[cosh(f*x+e)^5*(a+b*sinh(f*x+e)^2)^p,x,5,-(3*a-2*b*(5+2*p))*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(p+1)/b^2/f/(3+2*p)/(5+2*p)+sinh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(p+1)/b/f/(5+2*p)+(3*a^2-2*a*b*(5+2*p)+b^2*(4*p^2+16*p+15))*hypergeom([1/2, -p],[3/2],-b*sinh(f*x+e)^2/a)*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^p/b^2/f/(3+2*p)/(5+2*p)/((1+b*sinh(f*x+e)^2/a)^p),1],
[cosh(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x,4,sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^(p+1)/b/f/(3+2*p)-(a-b*(3+2*p))*hypergeom([1/2, -p],[3/2],-b*sinh(f*x+e)^2/a)*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^p/b/f/(3+2*p)/((1+b*sinh(f*x+e)^2/a)^p),1],
[cosh(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x,3,hypergeom([1/2, -p],[3/2],-b*sinh(f*x+e)^2/a)*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^p/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[sech(f*x+e)*(a+b*sinh(f*x+e)^2)^p,x,4,AppellF1(1/2,1,-p,3/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^p/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[sech(f*x+e)^3*(a+b*sinh(f*x+e)^2)^p,x,4,AppellF1(1/2,2,-p,3/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*sinh(f*x+e)*(a+b*sinh(f*x+e)^2)^p/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[cosh(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x,4,AppellF1(1/2,-3/2,-p,3/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*sqrt(cosh(f*x+e)^2)*(a+b*sinh(f*x+e)^2)^p*tanh(f*x+e)/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[cosh(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x,4,AppellF1(1/2,-1/2,-p,3/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*sqrt(cosh(f*x+e)^2)*(a+b*sinh(f*x+e)^2)^p*tanh(f*x+e)/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[(a+b*sinh(f*x+e)^2)^p,x,4,AppellF1(1/2,1/2,-p,3/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*sqrt(cosh(f*x+e)^2)*(a+b*sinh(f*x+e)^2)^p*tanh(f*x+e)/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^p,x,4,AppellF1(1/2,3/2,-p,3/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*sqrt(cosh(f*x+e)^2)*(a+b*sinh(f*x+e)^2)^p*tanh(f*x+e)/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^p,x,4,AppellF1(1/2,5/2,-p,3/2,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*sqrt(cosh(f*x+e)^2)*(a+b*sinh(f*x+e)^2)^p*tanh(f*x+e)/f/((1+b*sinh(f*x+e)^2/a)^p),1],
[cosh(d*x+c)^5/(a+b*sqrt(sinh(d*x+c))),x,4,-2*a*(a^4+b^4)^2*ln(a+b*sqrt(sinh(d*x+c)))/b^10/d+2*(a^4+b^4)^2*sqrt(sinh(d*x+c))/b^9/d-a^3*(a^4+2*b^4)*sinh(d*x+c)/b^8/d+2/3*a^2*(a^4+2*b^4)*sinh(d*x+c)^(3/2)/b^7/d-1/2*a*(a^4+2*b^4)*sinh(d*x+c)^2/b^6/d+2/5*(a^4+2*b^4)*sinh(d*x+c)^(5/2)/b^5/d-1/3*a^3*sinh(d*x+c)^3/b^4/d+2/7*a^2*sinh(d*x+c)^(7/2)/b^3/d-1/4*a*sinh(d*x+c)^4/b^2/d+2/9*sinh(d*x+c)^(9/2)/b/d,1],
[cosh(d*x+c)^3/(a+b*sqrt(sinh(d*x+c))),x,4,-2*a*(a^4+b^4)*ln(a+b*sqrt(sinh(d*x+c)))/b^6/d+2*(a^4+b^4)*sqrt(sinh(d*x+c))/b^5/d-a^3*sinh(d*x+c)/b^4/d+2/3*a^2*sinh(d*x+c)^(3/2)/b^3/d-1/2*a*sinh(d*x+c)^2/b^2/d+2/5*sinh(d*x+c)^(5/2)/b/d,1],
[cosh(d*x+c)/(a+b*sqrt(sinh(d*x+c))),x,4,-2*a*ln(a+b*sqrt(sinh(d*x+c)))/b^2/d+2*sqrt(sinh(d*x+c))/b/d,1],
[sech(d*x+c)/(a+b*sqrt(sinh(d*x+c))),x,18,b*(a^2-b^2)*arctan(1-sqrt(2)*sqrt(sinh(d*x+c)))/sqrt(2)/(a^4+b^4)/d-b*(a^2-b^2)*arctan(1+sqrt(2)*sqrt(sinh(d*x+c)))/sqrt(2)/(a^4+b^4)/d+a^3*arctan(sinh(d*x+c))/(a^4+b^4)/d+b*(a^2+b^2)*arctanh(sqrt(2)*sqrt(sinh(d*x+c))/(1+sinh(d*x+c)))/sqrt(2)/(a^4+b^4)/d+a*b^2*ln(cosh(d*x+c))/(a^4+b^4)/d-2*a*b^2*ln(a+b*sqrt(sinh(d*x+c)))/(a^4+b^4)/d,1],
[cosh(d*x+c)^5/(a+b*sqrt(sinh(d*x+c)))^2,x,4,2*(a^4+b^4)*(9*a^4+b^4)*ln(a+b*sqrt(sinh(d*x+c)))/b^10/d+2*a*(a^4+b^4)^2/b^10/d/(a+b*sqrt(sinh(d*x+c)))-16*a^3*(a^4+b^4)*sqrt(sinh(d*x+c))/b^9/d+a^2*(7*a^4+6*b^4)*sinh(d*x+c)/b^8/d-4/3*a*(3*a^4+2*b^4)*sinh(d*x+c)^(3/2)/b^7/d+1/2*(5*a^4+2*b^4)*sinh(d*x+c)^2/b^6/d-8/5*a^3*sinh(d*x+c)^(5/2)/b^5/d+a^2*sinh(d*x+c)^3/b^4/d-4/7*a*sinh(d*x+c)^(7/2)/b^3/d+1/4*sinh(d*x+c)^4/b^2/d,1],
[cosh(d*x+c)^3/(a+b*sqrt(sinh(d*x+c)))^2,x,4,2*(5*a^4+b^4)*ln(a+b*sqrt(sinh(d*x+c)))/b^6/d+2*a*(a^4+b^4)/b^6/d/(a+b*sqrt(sinh(d*x+c)))-8*a^3*sqrt(sinh(d*x+c))/b^5/d+3*a^2*sinh(d*x+c)/b^4/d-4/3*a*sinh(d*x+c)^(3/2)/b^3/d+1/2*sinh(d*x+c)^2/b^2/d,1],
[cosh(d*x+c)/(a+b*sqrt(sinh(d*x+c)))^2,x,4,2*ln(a+b*sqrt(sinh(d*x+c)))/b^2/d+2*a/b^2/d/(a+b*sqrt(sinh(d*x+c))),1],
[sech(d*x+c)/(a+b*sqrt(sinh(d*x+c)))^2,x,18,sqrt(2)*a*b*(a^4-2*a^2*b^2-b^4)*arctan(1-sqrt(2)*sqrt(sinh(d*x+c)))/(a^4+b^4)^2/d-sqrt(2)*a*b*(a^4-2*a^2*b^2-b^4)*arctan(1+sqrt(2)*sqrt(sinh(d*x+c)))/(a^4+b^4)^2/d+a^2*(a^4-3*b^4)*arctan(sinh(d*x+c))/(a^4+b^4)^2/d+sqrt(2)*a*b*(a^4+2*a^2*b^2-b^4)*arctanh(sqrt(2)*sqrt(sinh(d*x+c))/(1+sinh(d*x+c)))/(a^4+b^4)^2/d+b^2*(3*a^4-b^4)*ln(cosh(d*x+c))/(a^4+b^4)^2/d-2*b^2*(3*a^4-b^4)*ln(a+b*sqrt(sinh(d*x+c)))/(a^4+b^4)^2/d+2*a*b^2/(a^4+b^4)/d/(a+b*sqrt(sinh(d*x+c))),1],
[cosh(d*x+c)^5/(a+b*sinh(d*x+c)^n),x,6,hypergeom([1, 1/n],[1+1/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)/a/d+2/3*hypergeom([1, 3/n],[(3+n)/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)^3/a/d+1/5*hypergeom([1, 5/n],[(5+n)/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)^5/a/d,1],
[cosh(d*x+c)^3/(a+b*sinh(d*x+c)^n),x,5,hypergeom([1, 1/n],[1+1/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)/a/d+1/3*hypergeom([1, 3/n],[(3+n)/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)^3/a/d,1],
[cosh(d*x+c)/(a+b*sinh(d*x+c)^n),x,2,hypergeom([1, 1/n],[1+1/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)/a/d,1],
[cosh(d*x+c)^5/(a+b*sinh(d*x+c)^n)^2,x,6,hypergeom([2, 1/n],[1+1/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)/a^2/d+2/3*hypergeom([2, 3/n],[(3+n)/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)^3/a^2/d+1/5*hypergeom([2, 5/n],[(5+n)/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)^5/a^2/d,1],
[cosh(d*x+c)^3/(a+b*sinh(d*x+c)^n)^2,x,5,hypergeom([2, 1/n],[1+1/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)/a^2/d+1/3*hypergeom([2, 3/n],[(3+n)/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)^3/a^2/d,1],
[cosh(d*x+c)/(a+b*sinh(d*x+c)^n)^2,x,2,hypergeom([2, 1/n],[1+1/n],-b*sinh(d*x+c)^n/a)*sinh(d*x+c)/a^2/d,1],
[coth(x)/(1-sinh(x)^2),x,4,ln(sinh(x))-1/2*ln(1-sinh(x)^2),1],
[sqrt(a+a*sinh(f*x+e)^2)*tanh(f*x+e)^5,x,5,-1/3*a^2/f/(a*cosh(f*x+e)^2)^(3/2)+2*a/f/sqrt(a*cosh(f*x+e)^2)+sqrt(a*cosh(f*x+e)^2)/f,1],
[sqrt(a+a*sinh(f*x+e)^2)*tanh(f*x+e)^3,x,5,a/f/sqrt(a*cosh(f*x+e)^2)+sqrt(a*cosh(f*x+e)^2)/f,1],
[sqrt(a+a*sinh(f*x+e)^2)*tanh(f*x+e),x,4,sqrt(a*cosh(f*x+e)^2)/f,1],
[coth(f*x+e)*sqrt(a+a*sinh(f*x+e)^2),x,5,-sqrt(a)*arctanh(sqrt(a*cosh(f*x+e)^2)/sqrt(a))/f+sqrt(a*cosh(f*x+e)^2)/f,1],
[coth(f*x+e)^3*sqrt(a+a*sinh(f*x+e)^2),x,7,-3/2*sqrt(a)*arctanh(sqrt(a*cosh(f*x+e)^2)/sqrt(a))/f+3/2*sqrt(a*cosh(f*x+e)^2)/f-1/2*(a*cosh(f*x+e)^2)^(3/2)*csch(f*x+e)^2/a/f,1],
[sqrt(a+a*sinh(f*x+e)^2)*tanh(f*x+e)^6,x,8,-15/8*arctan(sinh(f*x+e))*sqrt(a*cosh(f*x+e)^2)*sech(f*x+e)/f+15/8*sqrt(a*cosh(f*x+e)^2)*tanh(f*x+e)/f-5/8*sqrt(a*cosh(f*x+e)^2)*tanh(f*x+e)^3/f-1/4*sqrt(a*cosh(f*x+e)^2)*tanh(f*x+e)^5/f,1],
[sqrt(a+a*sinh(f*x+e)^2)*tanh(f*x+e)^4,x,7,-3/2*arctan(sinh(f*x+e))*sqrt(a*cosh(f*x+e)^2)*sech(f*x+e)/f+3/2*sqrt(a*cosh(f*x+e)^2)*tanh(f*x+e)/f-1/2*sqrt(a*cosh(f*x+e)^2)*tanh(f*x+e)^3/f,1],
[sqrt(a+a*sinh(f*x+e)^2)*tanh(f*x+e)^2,x,5,-arctan(sinh(f*x+e))*sqrt(a*cosh(f*x+e)^2)*sech(f*x+e)/f+sqrt(a*cosh(f*x+e)^2)*tanh(f*x+e)/f,1],
[coth(f*x+e)^2*sqrt(a+a*sinh(f*x+e)^2),x,5,-sqrt(a*cosh(f*x+e)^2)*csch(f*x+e)*sech(f*x+e)/f+sqrt(a*cosh(f*x+e)^2)*tanh(f*x+e)/f,1],
[coth(f*x+e)^4*sqrt(a+a*sinh(f*x+e)^2),x,5,-2*sqrt(a*cosh(f*x+e)^2)*csch(f*x+e)*sech(f*x+e)/f-1/3*sqrt(a*cosh(f*x+e)^2)*csch(f*x+e)^3*sech(f*x+e)/f+sqrt(a*cosh(f*x+e)^2)*tanh(f*x+e)/f,1],
[coth(f*x+e)^6*sqrt(a+a*sinh(f*x+e)^2),x,5,-3*sqrt(a*cosh(f*x+e)^2)*csch(f*x+e)*sech(f*x+e)/f-sqrt(a*cosh(f*x+e)^2)*csch(f*x+e)^3*sech(f*x+e)/f-1/5*sqrt(a*cosh(f*x+e)^2)*csch(f*x+e)^5*sech(f*x+e)/f+sqrt(a*cosh(f*x+e)^2)*tanh(f*x+e)/f,1],
[tanh(f*x+e)^5/sqrt(a+a*sinh(f*x+e)^2),x,5,-1/5*a^2/f/(a*cosh(f*x+e)^2)^(5/2)+2/3*a/f/(a*cosh(f*x+e)^2)^(3/2)-1/f/sqrt(a*cosh(f*x+e)^2),1],
[tanh(f*x+e)^3/sqrt(a+a*sinh(f*x+e)^2),x,5,1/3*a/f/(a*cosh(f*x+e)^2)^(3/2)-1/f/sqrt(a*cosh(f*x+e)^2),1],
[tanh(f*x+e)/sqrt(a+a*sinh(f*x+e)^2),x,4,-1/f/sqrt(a*cosh(f*x+e)^2),1],
[coth(f*x+e)/sqrt(a+a*sinh(f*x+e)^2),x,4,-arctanh(sqrt(a*cosh(f*x+e)^2)/sqrt(a))/sqrt(a)/f,1],
[coth(f*x+e)^3/sqrt(a+a*sinh(f*x+e)^2),x,6,-1/2*arctanh(sqrt(a*cosh(f*x+e)^2)/sqrt(a))/sqrt(a)/f-1/2*sqrt(a*cosh(f*x+e)^2)*csch(f*x+e)^2/a/f,1],
[tanh(f*x+e)^4/sqrt(a+a*sinh(f*x+e)^2),x,5,3/8*arctan(sinh(f*x+e))*cosh(f*x+e)/f/sqrt(a*cosh(f*x+e)^2)-3/8*tanh(f*x+e)/f/sqrt(a*cosh(f*x+e)^2)-1/4*tanh(f*x+e)^3/f/sqrt(a*cosh(f*x+e)^2),1],
[tanh(f*x+e)^2/sqrt(a+a*sinh(f*x+e)^2),x,4,1/2*arctan(sinh(f*x+e))*cosh(f*x+e)/f/sqrt(a*cosh(f*x+e)^2)-1/2*tanh(f*x+e)/f/sqrt(a*cosh(f*x+e)^2),1],
[coth(f*x+e)^2/sqrt(a+a*sinh(f*x+e)^2),x,4,-coth(f*x+e)/f/sqrt(a*cosh(f*x+e)^2),1],
[coth(f*x+e)^4/sqrt(a+a*sinh(f*x+e)^2),x,4,-coth(f*x+e)/f/sqrt(a*cosh(f*x+e)^2)-1/3*coth(f*x+e)*csch(f*x+e)^2/f/sqrt(a*cosh(f*x+e)^2),1],
[coth(f*x+e)^6/sqrt(a+a*sinh(f*x+e)^2),x,5,-coth(f*x+e)/f/sqrt(a*cosh(f*x+e)^2)-2/3*coth(f*x+e)*csch(f*x+e)^2/f/sqrt(a*cosh(f*x+e)^2)-1/5*coth(f*x+e)*csch(f*x+e)^4/f/sqrt(a*cosh(f*x+e)^2),1],
[tanh(f*x+e)^5/(a+a*sinh(f*x+e)^2)^(3/2),x,5,-1/7*a^2/f/(a*cosh(f*x+e)^2)^(7/2)+2/5*a/f/(a*cosh(f*x+e)^2)^(5/2)-1/3/f/(a*cosh(f*x+e)^2)^(3/2),1],
[tanh(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(3/2),x,5,1/5*a/f/(a*cosh(f*x+e)^2)^(5/2)-1/3/f/(a*cosh(f*x+e)^2)^(3/2),1],
[tanh(f*x+e)/(a+a*sinh(f*x+e)^2)^(3/2),x,4,-1/3/f/(a*cosh(f*x+e)^2)^(3/2),1],
[coth(f*x+e)/(a+a*sinh(f*x+e)^2)^(3/2),x,5,-arctanh(sqrt(a*cosh(f*x+e)^2)/sqrt(a))/a^(3/2)/f+1/a/f/sqrt(a*cosh(f*x+e)^2),1],
[coth(f*x+e)^3/(a+a*sinh(f*x+e)^2)^(3/2),x,6,1/2*arctanh(sqrt(a*cosh(f*x+e)^2)/sqrt(a))/a^(3/2)/f-1/2*sqrt(a*cosh(f*x+e)^2)*csch(f*x+e)^2/a^2/f,1],
[tanh(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(3/2),x,5,1/8*arctan(sinh(f*x+e))*cosh(f*x+e)/a/f/sqrt(a*cosh(f*x+e)^2)+1/8*tanh(f*x+e)/a/f/sqrt(a*cosh(f*x+e)^2)-1/4*sech(f*x+e)^2*tanh(f*x+e)/a/f/sqrt(a*cosh(f*x+e)^2),1],
[coth(f*x+e)^2/(a+a*sinh(f*x+e)^2)^(3/2),x,5,-arctan(sinh(f*x+e))*cosh(f*x+e)/a/f/sqrt(a*cosh(f*x+e)^2)-coth(f*x+e)/a/f/sqrt(a*cosh(f*x+e)^2),1],
[coth(f*x+e)^4/(a+a*sinh(f*x+e)^2)^(3/2),x,4,-1/3*coth(f*x+e)*csch(f*x+e)^2/a/f/sqrt(a*cosh(f*x+e)^2),1],
[coth(f*x+e)^6/(a+a*sinh(f*x+e)^2)^(3/2),x,5,-1/3*coth(f*x+e)*csch(f*x+e)^2/a/f/sqrt(a*cosh(f*x+e)^2)-1/5*coth(f*x+e)*csch(f*x+e)^4/a/f/sqrt(a*cosh(f*x+e)^2),1],
[coth(f*x+e)^8/(a+a*sinh(f*x+e)^2)^(3/2),x,5,-1/3*coth(f*x+e)*csch(f*x+e)^2/a/f/sqrt(a*cosh(f*x+e)^2)-2/5*coth(f*x+e)*csch(f*x+e)^4/a/f/sqrt(a*cosh(f*x+e)^2)-1/7*coth(f*x+e)*csch(f*x+e)^6/a/f/sqrt(a*cosh(f*x+e)^2),1],
[sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)^5,x,6,-1/8*(8*a^2-24*a*b+15*b^2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/(a-b)^(3/2)/f+1/8*(8*a^2-24*a*b+15*b^2)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)^2/f+1/8*(8*a-7*b)*sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2)/(a-b)^2/f-1/4*sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2)/(a-b)/f,1],
[sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)^3,x,5,-1/2*(2*a-3*b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/sqrt(a-b)/f+1/2*(2*a-3*b)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f+1/2*sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2)/(a-b)/f,1],
[sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e),x,4,-sqrt(a-b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/f+sqrt(a+b*sinh(f*x+e)^2)/f,1],
[coth(f*x+e)*sqrt(a+b*sinh(f*x+e)^2),x,4,-sqrt(a)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/f+sqrt(a+b*sinh(f*x+e)^2)/f,1],
[coth(f*x+e)^3*sqrt(a+b*sinh(f*x+e)^2),x,5,-1/2*(2*a+b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/sqrt(a)/f+1/2*(2*a+b)*sqrt(a+b*sinh(f*x+e)^2)/a/f-1/2*csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2)/a/f,1],
[coth(f*x+e)^5*sqrt(a+b*sinh(f*x+e)^2),x,6,-1/8*(8*a^2+8*a*b-b^2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/a^(3/2)/f+1/8*(8*a^2+8*a*b-b^2)*sqrt(a+b*sinh(f*x+e)^2)/a^2/f-1/8*(8*a-b)*csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2)/a^2/f-1/4*csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2)/a/f,1],
[sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)^4,x,4,-1/3*(7*a-8*b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(3*a-4*b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+4/3*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f-1/3*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)^3/f,1],
[sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)^2,x,6,-2*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[sqrt(a+b*sinh(f*x+e)^2),x,2,-I*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt((a+b*sinh(f*x+e)^2)/a),1],
[coth(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2),x,6,-coth(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-2*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+(a+b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+2*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[coth(f*x+e)^4*sqrt(a+b*sinh(f*x+e)^2),x,7,-1/3*(3*a+b)*coth(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f-1/3*coth(f*x+e)^3*sqrt(a+b*sinh(f*x+e)^2)/f-1/3*(7*a+b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(3*a+5*b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(7*a+b)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/a/f,1],
[(a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^5,x,7,-1/8*(8*a^2-40*a*b+35*b^2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/sqrt(a-b)/f+1/8*(8*a^2-40*a*b+35*b^2)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f+1/24*(8*a^2-40*a*b+35*b^2)*(a+b*sinh(f*x+e)^2)^(3/2)/(a-b)^2/f+1/8*(8*a-9*b)*sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(5/2)/(a-b)^2/f-1/4*sech(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(5/2)/(a-b)/f,1],
[(a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^3,x,6,-1/2*(2*a-5*b)*sqrt(a-b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/f+1/2*(2*a-5*b)*sqrt(a+b*sinh(f*x+e)^2)/f+1/6*(2*a-5*b)*(a+b*sinh(f*x+e)^2)^(3/2)/(a-b)/f+1/2*sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(5/2)/(a-b)/f,1],
[(a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e),x,5,-(a-b)^(3/2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/f+(a-b)*sqrt(a+b*sinh(f*x+e)^2)/f+1/3*(a+b*sinh(f*x+e)^2)^(3/2)/f,1],
[coth(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2),x,5,-a^(3/2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/f+a*sqrt(a+b*sinh(f*x+e)^2)/f+1/3*(a+b*sinh(f*x+e)^2)^(3/2)/f,1],
[coth(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2),x,6,-1/2*sqrt(a)*(2*a+3*b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/f+1/2*(2*a+3*b)*sqrt(a+b*sinh(f*x+e)^2)/f+1/6*(2*a+3*b)*(a+b*sinh(f*x+e)^2)^(3/2)/a/f-1/2*csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(5/2)/a/f,1],
[coth(f*x+e)^5*(a+b*sinh(f*x+e)^2)^(3/2),x,7,-1/8*(8*a^2+3*b*(8*a+b))*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/sqrt(a)/f+1/8*(8*a^2+3*b*(8*a+b))*sqrt(a+b*sinh(f*x+e)^2)/a/f+1/24*(8*a^2+3*b*(8*a+b))*(a+b*sinh(f*x+e)^2)^(3/2)/a^2/f-1/8*(8*a+b)*csch(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(5/2)/a^2/f-1/4*csch(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(5/2)/a/f,1],
[(a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^4,x,5,-8/3*(a-2*b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(3*a-8*b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(5*a-8*b)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f+2/3*b*sinh(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f-1/3*(a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^3/f,1],
[(a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)^2,x,7,4/3*b*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-1/3*(7*a-8*b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(3*a-4*b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(7*a-8*b)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f-(a+b*sinh(f*x+e)^2)^(3/2)*tanh(f*x+e)/f,1],
[(a+b*sinh(f*x+e)^2)^(3/2),x,6,1/3*b*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-2/3*I*(2*a-b)*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt((a+b*sinh(f*x+e)^2)/a)+1/3*I*a*(a-b)*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)^2*(a+b*sinh(f*x+e)^2)^(3/2),x,7,4/3*b*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-coth(f*x+e)*(a+b*sinh(f*x+e)^2)^(3/2)/f-1/3*(7*a+b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(3*a+5*b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(7*a+b)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[coth(f*x+e)^4*(a+b*sinh(f*x+e)^2)^(3/2),x,8,-(a+b)*cosh(f*x+e)^2*coth(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f+1/3*(3*a+5*b)*cosh(f*x+e)*sinh(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f-1/3*coth(f*x+e)^3*(a+b*sinh(f*x+e)^2)^(3/2)/f-8/3*(a+b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(3*a+b)*(a+3*b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+8/3*(a+b)*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/f,1],
[tanh(f*x+e)^5/sqrt(a+b*sinh(f*x+e)^2),x,5,-1/8*(8*a^2-8*a*b+3*b^2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/(a-b)^(5/2)/f+1/8*(8*a-5*b)*sech(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)/(a-b)^2/f-1/4*sech(f*x+e)^4*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f,1],
[tanh(f*x+e)^3/sqrt(a+b*sinh(f*x+e)^2),x,4,-1/2*(2*a-b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/(a-b)^(3/2)/f+1/2*sech(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f,1],
[tanh(f*x+e)/sqrt(a+b*sinh(f*x+e)^2),x,3,-arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/sqrt(a-b)/f,1],
[coth(f*x+e)/sqrt(a+b*sinh(f*x+e)^2),x,3,-arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/sqrt(a)/f,1],
[coth(f*x+e)^3/sqrt(a+b*sinh(f*x+e)^2),x,4,-1/2*(2*a-b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/a^(3/2)/f-1/2*csch(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)/a/f,1],
[coth(f*x+e)^5/sqrt(a+b*sinh(f*x+e)^2),x,5,-1/8*(8*a^2-8*a*b+3*b^2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/a^(5/2)/f-1/8*(8*a-3*b)*csch(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)/a^2/f-1/4*csch(f*x+e)^4*sqrt(a+b*sinh(f*x+e)^2)/a/f,1],
[tanh(f*x+e)^4/sqrt(a+b*sinh(f*x+e)^2),x,3,-2/3*(2*a-b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(3*a-b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*sech(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)*tanh(f*x+e)/(a-b)/f,1],
[tanh(f*x+e)^2/sqrt(a+b*sinh(f*x+e)^2),x,2,-EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/(a-b)/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a),1],
[1/sqrt(a+b*sinh(f*x+e)^2),x,2,-I*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)^2/sqrt(a+b*sinh(f*x+e)^2),x,3,-coth(f*x+e)/f/sqrt(a+b*sinh(f*x+e)^2)-sqrt(b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/sqrt(a)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+sqrt(a)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/sqrt(b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)^4/sqrt(a+b*sinh(f*x+e)^2),x,4,-1/3*coth(f*x+e)*csch(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)/a/f-2/3*(2*a-b)*csch(f*x+e)*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^2/f-2/3*(2*a-b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(3*a-b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a),1],
[tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(3/2),x,6,-1/8*(8*a^2+8*a*b-b^2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/(a-b)^(7/2)/f+1/8*(8*a^2+8*a*b-b^2)/(a-b)^3/f/sqrt(a+b*sinh(f*x+e)^2)+1/8*(8*a-3*b)*sech(f*x+e)^2/(a-b)^2/f/sqrt(a+b*sinh(f*x+e)^2)-1/4*sech(f*x+e)^4/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x,5,-1/2*(2*a+b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/(a-b)^(5/2)/f+1/2*(2*a+b)/(a-b)^2/f/sqrt(a+b*sinh(f*x+e)^2)+1/2*sech(f*x+e)^2/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x,4,-arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/(a-b)^(3/2)/f+1/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(3/2),x,4,-arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/a^(3/2)/f+1/a/f/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(3/2),x,5,-1/2*(2*a-3*b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/a^(5/2)/f+1/2*(2*a-3*b)/a^2/f/sqrt(a+b*sinh(f*x+e)^2)-1/2*csch(f*x+e)^2/a/f/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(3/2),x,6,-1/8*(8*a^2-24*a*b+15*b^2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/a^(7/2)/f+1/8*(8*a^2-24*a*b+15*b^2)/a^3/f/sqrt(a+b*sinh(f*x+e)^2)-1/8*(8*a-5*b)*csch(f*x+e)^2/a^2/f/sqrt(a+b*sinh(f*x+e)^2)-1/4*csch(f*x+e)^4/a/f/sqrt(a+b*sinh(f*x+e)^2),1],
[tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x,4,-1/3*sqrt(a)*sqrt(b)*(7*a+b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/(a-b)^3/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+1/3*a^(3/2)*(3*a+5*b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/(a-b)^3/sqrt(b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-4/3*a*tanh(f*x+e)/(a-b)^2/f/sqrt(a+b*sinh(f*x+e)^2)+1/3*sech(f*x+e)^2*tanh(f*x+e)/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x,3,-2*sqrt(a)*sqrt(b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/(a-b)^2/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+sqrt(a)*(a+b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/(a-b)^2/sqrt(b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-tanh(f*x+e)/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[1/(a+b*sinh(f*x+e)^2)^(3/2),x,4,-b*cosh(f*x+e)*sinh(f*x+e)/a/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2)-I*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/a/(a-b)/f/sqrt((a+b*sinh(f*x+e)^2)/a),1],
[coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(3/2),x,4,coth(f*x+e)/a/f/sqrt(a+b*sinh(f*x+e)^2)-2*csch(f*x+e)*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^2/f-2*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^2/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a),1],
[coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(3/2),x,5,-(a-b)*coth(f*x+e)*csch(f*x+e)^2/a/b/f/sqrt(a+b*sinh(f*x+e)^2)+1/3*(3*a-4*b)*coth(f*x+e)*csch(f*x+e)^2*sqrt(a+b*sinh(f*x+e)^2)/a^2/b/f-1/3*(7*a-8*b)*csch(f*x+e)*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^3/f-1/3*(7*a-8*b)*EllipticE(sin(arctan(sinh(f*x+e))),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^3/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a)+1/3*(3*a-4*b)*InverseJacobiAM(arctan(sinh(f*x+e)),sqrt(1-b/a))*sech(f*x+e)*sqrt(a+b*sinh(f*x+e)^2)/a^3/f/sqrt(sech(f*x+e)^2*(a+b*sinh(f*x+e)^2)/a),1],
[tanh(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x,7,-1/8*(8*a^2+24*a*b+3*b^2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/(a-b)^(9/2)/f+1/24*(8*a^2+24*a*b+3*b^2)/(a-b)^3/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/8*(8*a-b)*sech(f*x+e)^2/(a-b)^2/f/(a+b*sinh(f*x+e)^2)^(3/2)-1/4*sech(f*x+e)^4/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/8*(8*a^2+24*a*b+3*b^2)/(a-b)^4/f/sqrt(a+b*sinh(f*x+e)^2),1],
[tanh(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x,6,-1/2*(2*a+3*b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/(a-b)^(7/2)/f+1/6*(2*a+3*b)/(a-b)^2/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/2*sech(f*x+e)^2/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/2*(2*a+3*b)/(a-b)^3/f/sqrt(a+b*sinh(f*x+e)^2),1],
[tanh(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x,5,-arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a-b))/(a-b)^(5/2)/f+1/3/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/(a-b)^2/f/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)/(a+b*sinh(f*x+e)^2)^(5/2),x,5,-arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/a^(5/2)/f+1/3/a/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/a^2/f/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)^3/(a+b*sinh(f*x+e)^2)^(5/2),x,6,-1/2*(2*a-5*b)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/a^(7/2)/f+1/6*(2*a-5*b)/a^2/f/(a+b*sinh(f*x+e)^2)^(3/2)-1/2*csch(f*x+e)^2/a/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/2*(2*a-5*b)/a^3/f/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)^5/(a+b*sinh(f*x+e)^2)^(5/2),x,7,-1/8*(8*a^2-40*a*b+35*b^2)*arctanh(sqrt(a+b*sinh(f*x+e)^2)/sqrt(a))/a^(9/2)/f+1/24*(8*a^2-40*a*b+35*b^2)/a^3/f/(a+b*sinh(f*x+e)^2)^(3/2)-1/8*(8*a-7*b)*csch(f*x+e)^2/a^2/f/(a+b*sinh(f*x+e)^2)^(3/2)-1/4*csch(f*x+e)^4/a/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/8*(8*a^2-40*a*b+35*b^2)/a^4/f/sqrt(a+b*sinh(f*x+e)^2),1],
[tanh(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x,5,-1/3*b*(5*a+3*b)*cosh(f*x+e)*sinh(f*x+e)/(a-b)^3/f/(a+b*sinh(f*x+e)^2)^(3/2)-8/3*sqrt(a)*sqrt(b)*(a+b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/(a-b)^4/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+1/3*sqrt(a)*(3*a^2+10*a*b+3*b^2)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/(a-b)^4/sqrt(b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-2/3*(2*a+b)*tanh(f*x+e)/(a-b)^2/f/(a+b*sinh(f*x+e)^2)^(3/2)+1/3*sech(f*x+e)^2*tanh(f*x+e)/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2),1],
[tanh(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x,4,-4/3*b*cosh(f*x+e)*sinh(f*x+e)/(a-b)^2/f/(a+b*sinh(f*x+e)^2)^(3/2)-1/3*sqrt(b)*(7*a+b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/sqrt(a)/(a-b)^3/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+1/3*sqrt(a)*(3*a+5*b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/(a-b)^3/sqrt(b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)-tanh(f*x+e)/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2),1],
[1/(a+b*sinh(f*x+e)^2)^(5/2),x,7,-1/3*b*cosh(f*x+e)*sinh(f*x+e)/a/(a-b)/f/(a+b*sinh(f*x+e)^2)^(3/2)-2/3*(2*a-b)*b*cosh(f*x+e)*sinh(f*x+e)/a^2/(a-b)^2/f/sqrt(a+b*sinh(f*x+e)^2)-2/3*I*(2*a-b)*EllipticE(sin(I*e+I*f*x),sqrt(b/a))*sqrt(a+b*sinh(f*x+e)^2)/a^2/(a-b)^2/f/sqrt((a+b*sinh(f*x+e)^2)/a)+1/3*I*InverseJacobiAM(I*e+I*f*x,sqrt(b/a))*sqrt((a+b*sinh(f*x+e)^2)/a)/a/(a-b)/f/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)^2/(a+b*sinh(f*x+e)^2)^(5/2),x,4,1/3*coth(f*x+e)/a/f/(a+b*sinh(f*x+e)^2)^(3/2)-4/3*coth(f*x+e)/a^2/f/sqrt(a+b*sinh(f*x+e)^2)-1/3*(7*a-8*b)*sqrt(b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/a^(5/2)/(a-b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+1/3*(3*a-4*b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/a^(3/2)/(a-b)/sqrt(b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[coth(f*x+e)^4/(a+b*sinh(f*x+e)^2)^(5/2),x,6,-1/3*(a-b)*coth(f*x+e)*csch(f*x+e)^2/a/b/f/(a+b*sinh(f*x+e)^2)^(3/2)-1/3*(5*a-8*b)*coth(f*x+e)/a^3/f/sqrt(a+b*sinh(f*x+e)^2)+1/3*(a-2*b)*coth(f*x+e)*csch(f*x+e)^2/a^2/b/f/sqrt(a+b*sinh(f*x+e)^2)-8/3*(a-2*b)*sqrt(b)*cosh(f*x+e)*EllipticE(sin(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a))),sqrt(1-a/b))/a^(7/2)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2)+1/3*(3*a-8*b)*cosh(f*x+e)*InverseJacobiAM(arctan(sqrt(b)*sinh(f*x+e)/sqrt(a)),sqrt(1-a/b))/a^(5/2)/sqrt(b)/f/sqrt(a*cosh(f*x+e)^2/(a+b*sinh(f*x+e)^2))/sqrt(a+b*sinh(f*x+e)^2),1],
[(a+b*sinh(f*x+e)^2)^p*(d*tanh(f*x+e))^m,x,5,AppellF1(1/2+1/2*m,1/2+1/2*m,-p,3/2+1/2*m,-sinh(f*x+e)^2,-b*sinh(f*x+e)^2/a)*(cosh(f*x+e)^2)^(1/2+1/2*m)*(a+b*sinh(f*x+e)^2)^p*(d*tanh(f*x+e))^(1+m)/d/f/(1+m)/((1+b*sinh(f*x+e)^2/a)^p),1],
[(a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^3,x,3,-1/2*(a-b*(p+1))*hypergeom([1, p+1],[2+p],(a+b*sinh(d*x+c)^2)/(a-b))*(a+b*sinh(d*x+c)^2)^(p+1)/(a-b)^2/d/(p+1)+1/2*sech(d*x+c)^2*(a+b*sinh(d*x+c)^2)^(p+1)/(a-b)/d,1],
[(a+b*sinh(d*x+c)^2)^p*tanh(d*x+c),x,2,-1/2*hypergeom([1, p+1],[2+p],(a+b*sinh(d*x+c)^2)/(a-b))*(a+b*sinh(d*x+c)^2)^(p+1)/(a-b)/d/(p+1),1],
[coth(d*x+c)*(a+b*sinh(d*x+c)^2)^p,x,2,-1/2*hypergeom([1, p+1],[2+p],1+b*sinh(d*x+c)^2/a)*(a+b*sinh(d*x+c)^2)^(p+1)/a/d/(p+1),1],
[coth(d*x+c)^3*(a+b*sinh(d*x+c)^2)^p,x,3,-1/2*csch(d*x+c)^2*(a+b*sinh(d*x+c)^2)^(p+1)/a/d-1/2*(b*p+a)*hypergeom([1, p+1],[2+p],1+b*sinh(d*x+c)^2/a)*(a+b*sinh(d*x+c)^2)^(p+1)/a^2/d/(p+1),1],
[(a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^4,x,4,1/5*AppellF1(5/2,5/2,-p,7/2,-sinh(d*x+c)^2,-b*sinh(d*x+c)^2/a)*sqrt(cosh(d*x+c)^2)*sinh(d*x+c)^4*(a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)/d/((1+b*sinh(d*x+c)^2/a)^p),1],
[(a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)^2,x,4,1/3*AppellF1(3/2,3/2,-p,5/2,-sinh(d*x+c)^2,-b*sinh(d*x+c)^2/a)*sqrt(cosh(d*x+c)^2)*sinh(d*x+c)^2*(a+b*sinh(d*x+c)^2)^p*tanh(d*x+c)/d/((1+b*sinh(d*x+c)^2/a)^p),1],
[coth(d*x+c)^2*(a+b*sinh(d*x+c)^2)^p,x,4,-AppellF1(-1/2,-1/2,-p,1/2,-sinh(d*x+c)^2,-b*sinh(d*x+c)^2/a)*sqrt(cosh(d*x+c)^2)*csch(d*x+c)*sech(d*x+c)*(a+b*sinh(d*x+c)^2)^p/d/((1+b*sinh(d*x+c)^2/a)^p),1],
[coth(d*x+c)^4*(a+b*sinh(d*x+c)^2)^p,x,4,-1/3*AppellF1(-3/2,-3/2,-p,-1/2,-sinh(d*x+c)^2,-b*sinh(d*x+c)^2/a)*sqrt(cosh(d*x+c)^2)*csch(d*x+c)^3*sech(d*x+c)*(a+b*sinh(d*x+c)^2)^p/d/((1+b*sinh(d*x+c)^2/a)^p),1],
[coth(x)^3/(a+b*sinh(x)^3),x,12,b^(2/3)*arctan((a^(1/3)-2*b^(1/3)*sinh(x))/sqrt(3)/a^(1/3))/sqrt(3)/a^(5/3)-1/2*csch(x)^2/a+ln(sinh(x))/a-1/3*b^(2/3)*ln(a^(1/3)+b^(1/3)*sinh(x))/a^(5/3)+1/6*b^(2/3)*ln(a^(2/3)-a^(1/3)*b^(1/3)*sinh(x)+b^(2/3)*sinh(x)^2)/a^(5/3)-1/3*ln(a+b*sinh(x)^3)/a,1],
[coth(x)/sqrt(a+b*sinh(x)^3),x,4,-2/3*arctanh(sqrt(a+b*sinh(x)^3)/sqrt(a))/sqrt(a),1],
[coth(x)*sqrt(a+b*sinh(x)^3),x,5,-2/3*sqrt(a)*arctanh(sqrt(a+b*sinh(x)^3)/sqrt(a))+2/3*sqrt(a+b*sinh(x)^3),1],
[coth(x)/sqrt(a+b*sinh(x)^n),x,4,-2*arctanh(sqrt(a+b*sinh(x)^n)/sqrt(a))/sqrt(a)/n,1],
[coth(x)*sqrt(a+b*sinh(x)^n),x,5,-2*sqrt(a)*arctanh(sqrt(a+b*sinh(x)^n)/sqrt(a))/n+2*sqrt(a+b*sinh(x)^n)/n,1]]: