lst:=[[exp(b*x+a)*sinh(b*x+d),x,3,1/4*exp(2*b*x+a+d)/b-1/2*exp(a-d)*x,1],
[exp(b*x+a)*sinh(b*x+d)^2,x,3,-1/4*exp(-b*x+a-2*d)/b-1/2*exp(b*x+a)/b+1/12*exp(3*b*x+a+2*d)/b,1],
[exp(b*x+a)*sinh(b*x+d)^3,x,4,1/16*exp(-2*b*x+a-3*d)/b-3/16*exp(2*b*x+a+d)/b+1/32*exp(4*b*x+a+3*d)/b+3/8*exp(a-d)*x,1],
[exp(b*x+a)*sinh(b*x+d)^4,x,3,-1/48*exp(-3*b*x+a-4*d)/b+1/4*exp(-b*x+a-2*d)/b+3/8*exp(b*x+a)/b-1/12*exp(3*b*x+a+2*d)/b+1/80*exp(5*b*x+a+4*d)/b,1],
[exp(2*b*x+2*a)*sinh(b*x+d),x,2,-1/2*exp(b*x+2*a-d)/b+1/6*exp(3*b*x+2*a+d)/b,1],
[exp(2*b*x+2*a)*sinh(b*x+d)^2,x,4,-1/4*exp(2*b*x+2*a)/b+1/16*exp(4*b*x+2*a+2*d)/b+1/4*exp(2*a-2*d)*x,1],
[exp(2*b*x+2*a)*sinh(b*x+d)^3,x,3,1/8*exp(-b*x+2*a-3*d)/b+3/8*exp(b*x+2*a-d)/b-1/8*exp(3*b*x+2*a+d)/b+1/40*exp(5*b*x+2*a+3*d)/b,1],
[exp(2*b*x+2*a)*sinh(b*x+d)^4,x,4,-1/32*exp(-2*b*x+2*a-4*d)/b+3/16*exp(2*b*x+2*a)/b-1/16*exp(4*b*x+2*a+2*d)/b+1/96*exp(6*b*x+2*a+4*d)/b-1/4*exp(2*a-2*d)*x,1],
[exp(5/3*b*x+5/3*a)*sinh(b*x+d),x,3,-3/4*exp(5/3*a-d+2/3*b*x)/b+3/16*exp(5/3*a+d+8/3*b*x)/b,1],
[exp(5/3*b*x+5/3*a)*sinh(b*x+d)^2,x,3,-3/4*exp(5/3*a-2*d-1/3*b*x)/b-3/10*exp(5/3*b*x+5/3*a)/b+3/44*exp(5/3*a+2*d+11/3*b*x)/b,1],
[exp(5/3*b*x+5/3*a)*sinh(b*x+d)^3,x,3,3/32*exp(5/3*a-3*d-4/3*b*x)/b+9/16*exp(5/3*a-d+2/3*b*x)/b-9/64*exp(5/3*a+d+8/3*b*x)/b+3/112*exp(5/3*a+3*d+14/3*b*x)/b,1],
[exp(5/3*b*x+5/3*a)*sinh(b*x+d)^4,x,3,3/4*exp(5/3*a-2*d-1/3*b*x)/b-3/112*exp(5/3*a-4*d-7/3*b*x)/b+9/40*exp(5/3*b*x+5/3*a)/b-3/44*exp(5/3*a+2*d+11/3*b*x)/b+3/272*exp(5/3*a+4*d+17/3*b*x)/b,1],
[F^(c*(b*x+a))*sinh(e*x+d),x,3,exp(-e*x-d)*F^(c*(b*x+a))/(2*e-2*b*c*ln(F))+exp(e*x+d)*F^(c*(b*x+a))/(2*e+2*b*c*ln(F)),1],
[F^(c*(b*x+a))*sinh(e*x+d)^2,x,3,-1/2*F^(c*(b*x+a))/b/c/ln(F)-exp(-2*e*x-2*d)*F^(c*(b*x+a))/(8*e-4*b*c*ln(F))+exp(2*e*x+2*d)*F^(c*(b*x+a))/(8*e+4*b*c*ln(F)),1],
[F^(c*(b*x+a))*sinh(e*x+d)^3,x,3,-3*exp(-e*x-d)*F^(c*(b*x+a))/(8*e-8*b*c*ln(F))+exp(-3*e*x-3*d)*F^(c*(b*x+a))/(24*e-8*b*c*ln(F))-3*exp(e*x+d)*F^(c*(b*x+a))/(8*e+8*b*c*ln(F))+exp(3*e*x+3*d)*F^(c*(b*x+a))/(24*e+8*b*c*ln(F)),1],
[F^(c*(b*x+a))*sinh(e*x+d)^4,x,3,3/8*F^(c*(b*x+a))/b/c/ln(F)+exp(-2*e*x-2*d)*F^(c*(b*x+a))/(8*e-4*b*c*ln(F))-exp(-4*e*x-4*d)*F^(c*(b*x+a))/(64*e-16*b*c*ln(F))-exp(2*e*x+2*d)*F^(c*(b*x+a))/(8*e+4*b*c*ln(F))+exp(4*e*x+4*d)*F^(c*(b*x+a))/(64*e+16*b*c*ln(F)),1],
[-3/4*d^2*exp(b*x+a)/(b^2-9/4*d^2)/sqrt(sinh(d*x+c))+exp(b*x+a)*sinh(d*x+c)^(3/2),x,-7,-6*d*exp(b*x+a)*cosh(d*x+c)*sqrt(sinh(d*x+c))/(4*b^2-9*d^2)+4*b*exp(b*x+a)*sinh(d*x+c)^(3/2)/(4*b^2-9*d^2),1],
[exp(b*x+a)*sinh(b*x+a)^n,x,3,exp(b*x+a)*hypergeom([1/2-1/2*n, -n],[3/2-1/2*n],exp(2*b*x+2*a))*sinh(b*x+a)^n/b/((1-exp(2*b*x+2*a))^n)/(1-n),1],
[F^(c*(b*x+a))*(f*sinh(e*x+d))^n,x,3,-F^(c*(b*x+a))*hypergeom([-n, -1/2*n+1/2*b*c*ln(F)/e],[1-1/2*n+1/2*b*c*ln(F)/e],exp(2*e*x+2*d))*(f*sinh(e*x+d))^n/((1-exp(2*e*x+2*d))^n)/(e*n-b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*sinh(d+b*c*x*ln(F)/(2+n)))^n,x,1,F^(c*(b*x+a))*(2+n)*(cosh(d+b*c*x*ln(F)/(2+n))-sinh(d+b*c*x*ln(F)/(2+n)))*(f*sinh(d+b*c*x*ln(F)/(2+n)))^(1+n)/b/c/f/(1+n)/ln(F),1],
[F^(c*(b*x+a))*(f*sinh(d-b*c*x*ln(F)/(2+n)))^n,x,1,-F^(c*(b*x+a))*(2+n)*(f*sinh(d-b*c*x*ln(F)/(2+n)))^(1+n)*(cosh(d-b*c*x*ln(F)/(2+n))+sinh(d-b*c*x*ln(F)/(2+n)))/b/c/f/(1+n)/ln(F),1],
[exp(b*x+a)*cosh(b*x+d),x,3,1/4*exp(2*b*x+a+d)/b+1/2*exp(a-d)*x,1],
[exp(b*x+a)*cosh(b*x+d)^2,x,3,-1/4*exp(-b*x+a-2*d)/b+1/2*exp(b*x+a)/b+1/12*exp(3*b*x+a+2*d)/b,1],
[exp(b*x+a)*cosh(b*x+d)^3,x,4,-1/16*exp(-2*b*x+a-3*d)/b+3/16*exp(2*b*x+a+d)/b+1/32*exp(4*b*x+a+3*d)/b+3/8*exp(a-d)*x,1],
[exp(b*x+a)*cosh(b*x+d)^4,x,3,-1/48*exp(-3*b*x+a-4*d)/b-1/4*exp(-b*x+a-2*d)/b+3/8*exp(b*x+a)/b+1/12*exp(3*b*x+a+2*d)/b+1/80*exp(5*b*x+a+4*d)/b,1],
[exp(2*b*x+2*a)*cosh(b*x+d),x,2,1/2*exp(b*x+2*a-d)/b+1/6*exp(3*b*x+2*a+d)/b,1],
[exp(2*b*x+2*a)*cosh(b*x+d)^2,x,4,1/4*exp(2*b*x+2*a)/b+1/16*exp(4*b*x+2*a+2*d)/b+1/4*exp(2*a-2*d)*x,1],
[exp(2*b*x+2*a)*cosh(b*x+d)^3,x,3,-1/8*exp(-b*x+2*a-3*d)/b+3/8*exp(b*x+2*a-d)/b+1/8*exp(3*b*x+2*a+d)/b+1/40*exp(5*b*x+2*a+3*d)/b,1],
[exp(2*b*x+2*a)*cosh(b*x+d)^4,x,4,-1/32*exp(-2*b*x+2*a-4*d)/b+3/16*exp(2*b*x+2*a)/b+1/16*exp(4*b*x+2*a+2*d)/b+1/96*exp(6*b*x+2*a+4*d)/b+1/4*exp(2*a-2*d)*x,1],
[exp(5/3*b*x+5/3*a)*cosh(b*x+a),x,3,3/4*exp(2/3*b*x+2/3*a)/b+3/16*exp(8/3*b*x+8/3*a)/b,1],
[exp(5/3*b*x+5/3*a)*cosh(b*x+a)^2,x,3,-3/4*exp(-1/3*b*x-1/3*a)/b+3/10*exp(5/3*b*x+5/3*a)/b+3/44*exp(11/3*b*x+11/3*a)/b,1],
[exp(5/3*b*x+5/3*a)*cosh(b*x+a)^3,x,3,-3/32/b/exp(4/3*b*x+4/3*a)+9/16*exp(2/3*b*x+2/3*a)/b+9/64*exp(8/3*b*x+8/3*a)/b+3/112*exp(14/3*b*x+14/3*a)/b,1],
[exp(5/3*b*x+5/3*a)*cosh(b*x+a)^4,x,3,-3/4*exp(-1/3*b*x-1/3*a)/b-3/112/b/exp(7/3*b*x+7/3*a)+9/40*exp(5/3*b*x+5/3*a)/b+3/44*exp(11/3*b*x+11/3*a)/b+3/272*exp(17/3*b*x+17/3*a)/b,1],
[F^(c*(b*x+a))*cosh(e*x+d),x,3,-1/2*exp(-e*x-d)*F^(c*(b*x+a))/(e-b*c*ln(F))+exp(e*x+d)*F^(c*(b*x+a))/(2*e+2*b*c*ln(F)),1],
[F^(c*(b*x+a))*cosh(e*x+d)^2,x,3,1/2*F^(c*(b*x+a))/b/c/ln(F)-exp(-2*e*x-2*d)*F^(c*(b*x+a))/(8*e-4*b*c*ln(F))+exp(2*e*x+2*d)*F^(c*(b*x+a))/(8*e+4*b*c*ln(F)),1],
[F^(c*(b*x+a))*cosh(e*x+d)^3,x,3,-3*exp(-e*x-d)*F^(c*(b*x+a))/(8*e-8*b*c*ln(F))-exp(-3*e*x-3*d)*F^(c*(b*x+a))/(24*e-8*b*c*ln(F))+3*exp(e*x+d)*F^(c*(b*x+a))/(8*e+8*b*c*ln(F))+exp(3*e*x+3*d)*F^(c*(b*x+a))/(24*e+8*b*c*ln(F)),1],
[F^(c*(b*x+a))*cosh(e*x+d)^4,x,3,3/8*F^(c*(b*x+a))/b/c/ln(F)-exp(-2*e*x-2*d)*F^(c*(b*x+a))/(8*e-4*b*c*ln(F))-exp(-4*e*x-4*d)*F^(c*(b*x+a))/(64*e-16*b*c*ln(F))+exp(2*e*x+2*d)*F^(c*(b*x+a))/(8*e+4*b*c*ln(F))+exp(4*e*x+4*d)*F^(c*(b*x+a))/(64*e+16*b*c*ln(F)),1],
[exp(b*x+a)*cosh(b*x+a)^n,x,2,exp(b*x+a)*cosh(b*x+a)^n*hypergeom([1/2-1/2*n, -n],[3/2-1/2*n],-exp(2*b*x+2*a))/b/((1+exp(2*b*x+2*a))^n)/(1-n),1],
[F^(c*(b*x+a))*(f*cosh(e*x+d))^n,x,2,-F^(c*(b*x+a))*(f*cosh(e*x+d))^n*hypergeom([-n, -1/2*n+1/2*b*c*ln(F)/e],[1-1/2*n+1/2*b*c*ln(F)/e],-exp(2*e*x+2*d))/((1+exp(2*e*x+2*d))^n)/(e*n-b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*cosh(d+b*c*x*ln(F)/(2+n)))^n,x,1,F^(c*(b*x+a))*(2+n)*(f*cosh(d+b*c*x*ln(F)/(2+n)))^(1+n)*(cosh(d+b*c*x*ln(F)/(2+n))-sinh(d+b*c*x*ln(F)/(2+n)))/b/c/f/(1+n)/ln(F),1],
[F^(c*(b*x+a))*(f*cosh(d-b*c*x*ln(F)/(2+n)))^n,x,1,F^(c*(b*x+a))*(2+n)*(f*cosh(d-b*c*x*ln(F)/(2+n)))^(1+n)*(cosh(d-b*c*x*ln(F)/(2+n))+sinh(d-b*c*x*ln(F)/(2+n)))/b/c/f/(1+n)/ln(F),1],
[exp(b*x+a)*tanh(b*x+d),x,3,exp(b*x+a)/b-2*exp(a-d)*arctan(exp(b*x+d))/b,1],
[exp(b*x+a)*tanh(b*x+d)^2,x,4,exp(b*x+a)/b+2*exp(b*x+a)/b/(1+exp(2*b*x+2*d))-2*exp(a-d)*arctan(exp(b*x+d))/b,1],
[exp(b*x+a)*tanh(b*x+d)^3,x,6,exp(b*x+a)/b-2*exp(b*x+a)/b/(1+exp(2*b*x+2*d))^2+3*exp(b*x+a)/b/(1+exp(2*b*x+2*d))-3*exp(a-d)*arctan(exp(b*x+d))/b,1],
[exp(b*x+a)*tanh(b*x+d)^4,x,7,exp(b*x+a)/b+8/3*exp(b*x+a)/b/(1+exp(2*b*x+2*d))^3-14/3*exp(b*x+a)/b/(1+exp(2*b*x+2*d))^2+5*exp(b*x+a)/b/(1+exp(2*b*x+2*d))-3*exp(a-d)*arctan(exp(b*x+d))/b,1],
[exp(2*b*x+2*a)*tanh(b*x+d),x,4,1/2*exp(2*b*x+2*a)/b-exp(2*a-2*d)*ln(1+exp(2*b*x+2*d))/b,1],
[exp(2*b*x+2*a)*tanh(b*x+d)^2,x,4,1/2*exp(2*b*x+2*a)/b-2*exp(2*a-2*d)/b/(1+exp(2*b*x+2*d))-2*exp(2*a-2*d)*ln(1+exp(2*b*x+2*d))/b,1],
[exp(2*b*x+2*a)*tanh(b*x+d)^3,x,4,1/2*exp(2*b*x+2*a)/b+2*exp(2*a-2*d)/b/(1+exp(2*b*x+2*d))^2-6*exp(2*a-2*d)/b/(1+exp(2*b*x+2*d))-3*exp(2*a-2*d)*ln(1+exp(2*b*x+2*d))/b,1],
[exp(2*b*x+2*a)*tanh(b*x+d)^4,x,4,1/2*exp(2*b*x+2*a)/b-8/3*exp(2*a-2*d)/b/(1+exp(2*b*x+2*d))^3+8*exp(2*a-2*d)/b/(1+exp(2*b*x+2*d))^2-12*exp(2*a-2*d)/b/(1+exp(2*b*x+2*d))-4*exp(2*a-2*d)*ln(1+exp(2*b*x+2*d))/b,1],
[exp(5/3*b*x+5/3*a)*tanh(b*x+d),x,13,3/5*exp(5/3*b*x+5/3*a)/b-2*exp(5/3*a-5/3*d)*arctan(exp(1/3*b*x+1/3*d))/b+exp(5/3*a-5/3*d)*arctan(sqrt(3)-2*exp(1/3*b*x+1/3*d))/b-exp(5/3*a-5/3*d)*arctan(sqrt(3)+2*exp(1/3*b*x+1/3*d))/b+sqrt(3)*exp(5/3*a-5/3*d)*arctanh(sqrt(3)*exp(1/3*b*x+1/3*d)/(1+exp(2/3*b*x+2/3*d)))/b,1],
[exp(5/3*b*x+5/3*a)*tanh(b*x+d)^2,x,14,3/5*exp(5/3*b*x+5/3*a)/b+2*exp(5/3*b*x+5/3*a)/b/(1+exp(2*b*x+2*d))-10/3*exp(5/3*a-5/3*d)*arctan(exp(1/3*b*x+1/3*d))/b+5/3*exp(5/3*a-5/3*d)*arctan(sqrt(3)-2*exp(1/3*b*x+1/3*d))/b-5/3*exp(5/3*a-5/3*d)*arctan(sqrt(3)+2*exp(1/3*b*x+1/3*d))/b+5*exp(5/3*a-5/3*d)*arctanh(sqrt(3)*exp(1/3*b*x+1/3*d)/(1+exp(2/3*b*x+2/3*d)))/sqrt(3)/b,1],
[exp(5/3*b*x+5/3*a)*tanh(b*x+d)^3,x,15,3/5*exp(5/3*b*x+5/3*a)/b-2*exp(5/3*b*x+5/3*a)/b/(1+exp(2*b*x+2*d))^2+11/3*exp(5/3*b*x+5/3*a)/b/(1+exp(2*b*x+2*d))-43/9*exp(5/3*a-5/3*d)*arctan(exp(1/3*b*x+1/3*d))/b+43/18*exp(5/3*a-5/3*d)*arctan(sqrt(3)-2*exp(1/3*b*x+1/3*d))/b-43/18*exp(5/3*a-5/3*d)*arctan(sqrt(3)+2*exp(1/3*b*x+1/3*d))/b+43/6*exp(5/3*a-5/3*d)*arctanh(sqrt(3)*exp(1/3*b*x+1/3*d)/(1+exp(2/3*b*x+2/3*d)))/sqrt(3)/b,1],
[F^(c*(b*x+a))*tanh(e*x+d),x,3,F^(c*(b*x+a))/b/c/ln(F)-2*F^(c*(b*x+a))*hypergeom([1, 1/2*b*c*ln(F)/e],[1+1/2*b*c*ln(F)/e],-exp(2*e*x+2*d))/b/c/ln(F),1],
[F^(c*(b*x+a))*tanh(e*x+d)^2,x,4,2*F^(c*(b*x+a))/e/(1+exp(2*e*x+2*d))-2*F^(c*(b*x+a))*hypergeom([1, 1/2*b*c*ln(F)/e],[1+1/2*b*c*ln(F)/e],-exp(2*e*x+2*d))/e+F^(c*(b*x+a))/b/c/ln(F),1],
[F^(c*(b*x+a))*tanh(e*x+d)^3,x,5,-2*F^(c*(b*x+a))/e/(1+exp(2*e*x+2*d))^2+F^(c*(b*x+a))/b/c/ln(F)+F^(c*(b*x+a))*(2*e+b*c*ln(F))/e^2/(1+exp(2*e*x+2*d))-F^(c*(b*x+a))*hypergeom([1, 1/2*b*c*ln(F)/e],[1+1/2*b*c*ln(F)/e],-exp(2*e*x+2*d))*(2/b/c/ln(F)+b*c*ln(F)/e^2),1],
[F^(c*(b*x+a))*tanh(e*x+d)^4,x,6,8/3*F^(c*(b*x+a))/e/(1+exp(2*e*x+2*d))^3+F^(c*(b*x+a))/b/c/ln(F)-2/3*F^(c*(b*x+a))*(6*e+b*c*ln(F))/e^2/(1+exp(2*e*x+2*d))^2-1/3*F^(c*(b*x+a))*hypergeom([1, 1/2*b*c*ln(F)/e],[1+1/2*b*c*ln(F)/e],-exp(2*e*x+2*d))*(8*e^2+b^2*c^2*ln(F)^2)/e^3+1/3*F^(c*(b*x+a))*(12*e^2+2*b*c*e*ln(F)+b^2*c^2*ln(F)^2)/e^3/(1+exp(2*e*x+2*d)),1],
[exp(b*x+a)*tanh(b*x+a)^n,x,3,exp(b*x+a)*(-1+exp(2*b*x+2*a))^n*AppellF1(1/2,-n,n,3/2,exp(2*b*x+2*a),-exp(2*b*x+2*a))/b/((1-exp(2*b*x+2*a))^n),1],
[F^(c*(b*x+a))*(f*tanh(e*x+d))^n,x,3,-2^(-1-n)*(1-exp(2*e*x+2*d))*(1+exp(2*e*x+2*d))^n*F^(c*(b*x+a))*AppellF1(1+n,1-1/2*b*c*ln(F)/e,n,2+n,1-exp(2*e*x+2*d),1/2-1/2*exp(2*e*x+2*d))*(f*tanh(e*x+d))^n/e/(exp(2*e*x+2*d)^(1/2*b*c*ln(F)/e))/(1+n),1],
[exp(b*x+a)*coth(b*x+d),x,3,exp(b*x+a)/b-2*exp(a-d)*arctanh(exp(b*x+d))/b,1],
[exp(b*x+a)*coth(b*x+d)^2,x,4,exp(b*x+a)/b+2*exp(b*x+a)/b/(1-exp(2*b*x+2*d))-2*exp(a-d)*arctanh(exp(b*x+d))/b,1],
[exp(b*x+a)*coth(b*x+d)^3,x,6,exp(b*x+a)/b-2*exp(b*x+a)/b/(1-exp(2*b*x+2*d))^2+3*exp(b*x+a)/b/(1-exp(2*b*x+2*d))-3*exp(a-d)*arctanh(exp(b*x+d))/b,1],
[exp(b*x+a)*coth(b*x+d)^4,x,7,exp(b*x+a)/b+8/3*exp(b*x+a)/b/(1-exp(2*b*x+2*d))^3-14/3*exp(b*x+a)/b/(1-exp(2*b*x+2*d))^2+5*exp(b*x+a)/b/(1-exp(2*b*x+2*d))-3*exp(a-d)*arctanh(exp(b*x+d))/b,1],
[exp(2*b*x+2*a)*coth(b*x+d),x,4,1/2*exp(2*b*x+2*a)/b+exp(2*a-2*d)*ln(1-exp(2*b*x+2*d))/b,1],
[exp(2*b*x+2*a)*coth(b*x+d)^2,x,4,1/2*exp(2*b*x+2*a)/b+2*exp(2*a-2*d)/b/(1-exp(2*b*x+2*d))+2*exp(2*a-2*d)*ln(1-exp(2*b*x+2*d))/b,1],
[exp(2*b*x+2*a)*coth(b*x+d)^3,x,4,1/2*exp(2*b*x+2*a)/b-2*exp(2*a-2*d)/b/(1-exp(2*b*x+2*d))^2+6*exp(2*a-2*d)/b/(1-exp(2*b*x+2*d))+3*exp(2*a-2*d)*ln(1-exp(2*b*x+2*d))/b,1],
[exp(2*b*x+2*a)*coth(b*x+d)^4,x,4,1/2*exp(2*b*x+2*a)/b+8/3*exp(2*a-2*d)/b/(1-exp(2*b*x+2*d))^3-8*exp(2*a-2*d)/b/(1-exp(2*b*x+2*d))^2+12*exp(2*a-2*d)/b/(1-exp(2*b*x+2*d))+4*exp(2*a-2*d)*ln(1-exp(2*b*x+2*d))/b,1],
[exp(5/3*b*x+5/3*a)*coth(b*x+d),x,13,3/5*exp(5/3*b*x+5/3*a)/b-sqrt(3)*exp(5/3*a-5/3*d)*arctan((1-2*exp(1/3*b*x+1/3*d))/sqrt(3))/b+sqrt(3)*exp(5/3*a-5/3*d)*arctan((1+2*exp(1/3*b*x+1/3*d))/sqrt(3))/b-2*exp(5/3*a-5/3*d)*arctanh(exp(1/3*b*x+1/3*d))/b-exp(5/3*a-5/3*d)*arctanh(exp(1/3*b*x+1/3*d)/(1+exp(2/3*b*x+2/3*d)))/b,1],
[exp(5/3*b*x+5/3*a)*coth(b*x+d)^2,x,14,3/5*exp(5/3*b*x+5/3*a)/b+2*exp(5/3*b*x+5/3*a)/b/(1-exp(2*b*x+2*d))-5*exp(5/3*a-5/3*d)*arctan((1-2*exp(1/3*b*x+1/3*d))/sqrt(3))/sqrt(3)/b+5*exp(5/3*a-5/3*d)*arctan((1+2*exp(1/3*b*x+1/3*d))/sqrt(3))/sqrt(3)/b-10/3*exp(5/3*a-5/3*d)*arctanh(exp(1/3*b*x+1/3*d))/b-5/3*exp(5/3*a-5/3*d)*arctanh(exp(1/3*b*x+1/3*d)/(1+exp(2/3*b*x+2/3*d)))/b,1],
[exp(5/3*b*x+5/3*a)*coth(b*x+d)^3,x,15,3/5*exp(5/3*b*x+5/3*a)/b-2*exp(5/3*b*x+5/3*a)/b/(1-exp(2*b*x+2*d))^2+11/3*exp(5/3*b*x+5/3*a)/b/(1-exp(2*b*x+2*d))-43/6*exp(5/3*a-5/3*d)*arctan((1-2*exp(1/3*b*x+1/3*d))/sqrt(3))/sqrt(3)/b+43/6*exp(5/3*a-5/3*d)*arctan((1+2*exp(1/3*b*x+1/3*d))/sqrt(3))/sqrt(3)/b-43/9*exp(5/3*a-5/3*d)*arctanh(exp(1/3*b*x+1/3*d))/b-43/18*exp(5/3*a-5/3*d)*arctanh(exp(1/3*b*x+1/3*d)/(1+exp(2/3*b*x+2/3*d)))/b,1],
[F^(c*(b*x+a))*coth(e*x+d),x,3,F^(c*(b*x+a))/b/c/ln(F)-2*F^(c*(b*x+a))*hypergeom([1, 1/2*b*c*ln(F)/e],[1+1/2*b*c*ln(F)/e],exp(2*e*x+2*d))/b/c/ln(F),1],
[F^(c*(b*x+a))*coth(e*x+d)^2,x,4,2*F^(c*(b*x+a))/e/(1-exp(2*e*x+2*d))-2*F^(c*(b*x+a))*hypergeom([1, 1/2*b*c*ln(F)/e],[1+1/2*b*c*ln(F)/e],exp(2*e*x+2*d))/e+F^(c*(b*x+a))/b/c/ln(F),1],
[F^(c*(b*x+a))*coth(e*x+d)^3,x,5,-2*F^(c*(b*x+a))/e/(1-exp(2*e*x+2*d))^2+F^(c*(b*x+a))/b/c/ln(F)+F^(c*(b*x+a))*(2*e+b*c*ln(F))/e^2/(1-exp(2*e*x+2*d))-F^(c*(b*x+a))*hypergeom([1, 1/2*b*c*ln(F)/e],[1+1/2*b*c*ln(F)/e],exp(2*e*x+2*d))*(2/b/c/ln(F)+b*c*ln(F)/e^2),1],
[F^(c*(b*x+a))*coth(e*x+d)^4,x,6,8/3*F^(c*(b*x+a))/e/(1-exp(2*e*x+2*d))^3+F^(c*(b*x+a))/b/c/ln(F)-2/3*F^(c*(b*x+a))*(6*e+b*c*ln(F))/e^2/(1-exp(2*e*x+2*d))^2-1/3*F^(c*(b*x+a))*hypergeom([1, 1/2*b*c*ln(F)/e],[1+1/2*b*c*ln(F)/e],exp(2*e*x+2*d))*(8*e^2+b^2*c^2*ln(F)^2)/e^3+1/3*F^(c*(b*x+a))*(12*e^2+2*b*c*e*ln(F)+b^2*c^2*ln(F)^2)/e^3/(1-exp(2*e*x+2*d)),1],
[exp(b*x+a)*coth(b*x+a)^n,x,3,exp(b*x+a)*(1-exp(2*b*x+2*a))^n*AppellF1(1/2,n,-n,3/2,exp(2*b*x+2*a),-exp(2*b*x+2*a))*coth(b*x+a)^n/b/((1+exp(2*b*x+2*a))^n),1],
[F^(c*(b*x+a))*(f*coth(e*x+d))^n,x,3,-2^(-1+n)*(1-exp(2*e*x+2*d))*F^(c*(b*x+a))*AppellF1(1-n,1-1/2*b*c*ln(F)/e,-n,2-n,1-exp(2*e*x+2*d),1/2-1/2*exp(2*e*x+2*d))*(f*coth(e*x+d))^n/e/(exp(2*e*x+2*d)^(1/2*b*c*ln(F)/e))/((1+exp(2*e*x+2*d))^n)/(1-n),1],
[exp(b*x+a)*sech(b*x+d),x,2,exp(a-d)*ln(1+exp(2*b*x+2*d))/b,1],
[exp(b*x+a)*sech(b*x+d)^2,x,3,-2*exp(b*x+a)/b/(1+exp(2*b*x+2*d))+2*exp(a-d)*arctan(exp(b*x+d))/b,1],
[exp(b*x+a)*sech(b*x+d)^3,x,2,2*exp(4*b*x+a+3*d)/b/(1+exp(2*b*x+2*d))^2,1],
[exp(b*x+a)*sech(b*x+d)^4,x,5,-8/3*exp(3*b*x+a+2*d)/b/(1+exp(2*b*x+2*d))^3-2*exp(b*x+a)/b/(1+exp(2*b*x+2*d))^2+exp(b*x+a)/b/(1+exp(2*b*x+2*d))+exp(a-d)*arctan(exp(b*x+d))/b,1],
[exp(b*x+a)*sech(b*x+d)^5,x,4,-4*exp(a-d)/b/(1+exp(2*b*x+2*d))^4+32/3*exp(a-d)/b/(1+exp(2*b*x+2*d))^3-8*exp(a-d)/b/(1+exp(2*b*x+2*d))^2,1],
[exp(2*b*x+2*a)*sech(b*x+d),x,3,2*exp(b*x+2*a-d)/b-2*exp(2*a-2*d)*arctan(exp(b*x+d))/b,1],
[exp(2*b*x+2*a)*sech(b*x+d)^2,x,4,2*exp(2*a-2*d)/b/(1+exp(2*b*x+2*d))+2*exp(2*a-2*d)*ln(1+exp(2*b*x+2*d))/b,1],
[exp(2*b*x+2*a)*sech(b*x+d)^3,x,4,-2*exp(3*b*x+2*a+d)/b/(1+exp(2*b*x+2*d))^2-3*exp(b*x+2*a-d)/b/(1+exp(2*b*x+2*d))+3*exp(2*a-2*d)*arctan(exp(b*x+d))/b,1],
[exp(2*b*x+2*a)*sech(b*x+d)^4,x,2,8/3*exp(6*b*x+2*a+4*d)/b/(1+exp(2*b*x+2*d))^3,1],
[exp(2*b*x+2*a)*sech(b*x+d)^5,x,6,-4*exp(5*b*x+2*a+3*d)/b/(1+exp(2*b*x+2*d))^4-10/3*exp(3*b*x+2*a+d)/b/(1+exp(2*b*x+2*d))^3-5/2*exp(b*x+2*a-d)/b/(1+exp(2*b*x+2*d))^2+5/4*exp(b*x+2*a-d)/b/(1+exp(2*b*x+2*d))+5/4*exp(2*a-2*d)*arctan(exp(b*x+d))/b,1],
[exp(5/3*b*x+5/3*a)*sech(b*x+d),x,9,3*exp(5/3*a-d+2/3*b*x)/b+sqrt(3)*exp(5/3*a-5/3*d)*arctan((1-2*exp(2/3*b*x+2/3*d))/sqrt(3))/b-exp(5/3*a-5/3*d)*ln(1+exp(2/3*b*x+2/3*d))/b+1/2*exp(5/3*a-5/3*d)*ln(1-exp(2/3*b*x+2/3*d)+exp(4/3*b*x+4/3*d))/b,1],
[exp(5/3*b*x+5/3*a)*sech(b*x+d)^2,x,12,-2*exp(5/3*b*x+5/3*a)/b/(1+exp(2*b*x+2*d))+10/3*exp(5/3*a-5/3*d)*arctan(exp(1/3*b*x+1/3*d))/b-5/3*exp(5/3*a-5/3*d)*arctan(sqrt(3)-2*exp(1/3*b*x+1/3*d))/b+5/3*exp(5/3*a-5/3*d)*arctan(sqrt(3)+2*exp(1/3*b*x+1/3*d))/b-5*exp(5/3*a-5/3*d)*arctanh(sqrt(3)*exp(1/3*b*x+1/3*d)/(1+exp(2/3*b*x+2/3*d)))/sqrt(3)/b,1],
[exp(5/3*b*x+5/3*a)*sech(b*x+d)^3,x,10,-2*exp(5/3*a+d+8/3*b*x)/b/(1+exp(2*b*x+2*d))^2-8/3*exp(5/3*a-d+2/3*b*x)/b/(1+exp(2*b*x+2*d))-8/3*exp(5/3*a-5/3*d)*arctan((1-2*exp(2/3*b*x+2/3*d))/sqrt(3))/sqrt(3)/b+8/9*exp(5/3*a-5/3*d)*ln(1+exp(2/3*b*x+2/3*d))/b-4/9*exp(5/3*a-5/3*d)*ln(1-exp(2/3*b*x+2/3*d)+exp(4/3*b*x+4/3*d))/b,1],
[exp(5/3*b*x+5/3*a)*sech(b*x+d)^4,x,14,-8/3*exp(5/3*a+2*d+11/3*b*x)/b/(1+exp(2*b*x+2*d))^3-22/9*exp(5/3*b*x+5/3*a)/b/(1+exp(2*b*x+2*d))^2+55/27*exp(5/3*b*x+5/3*a)/b/(1+exp(2*b*x+2*d))+55/81*exp(5/3*a-5/3*d)*arctan(exp(1/3*b*x+1/3*d))/b-55/162*exp(5/3*a-5/3*d)*arctan(sqrt(3)-2*exp(1/3*b*x+1/3*d))/b+55/162*exp(5/3*a-5/3*d)*arctan(sqrt(3)+2*exp(1/3*b*x+1/3*d))/b-55/54*exp(5/3*a-5/3*d)*arctanh(sqrt(3)*exp(1/3*b*x+1/3*d)/(1+exp(2/3*b*x+2/3*d)))/sqrt(3)/b,1],
[exp(5/3*b*x+5/3*a)*sech(b*x+d)^5,x,12,-4*exp(5/3*a+3*d+14/3*b*x)/b/(1+exp(2*b*x+2*d))^4-28/9*exp(5/3*a+d+8/3*b*x)/b/(1+exp(2*b*x+2*d))^3-56/27*exp(5/3*a-d+2/3*b*x)/b/(1+exp(2*b*x+2*d))^2+56/81*exp(5/3*a-d+2/3*b*x)/b/(1+exp(2*b*x+2*d))-112/81*exp(5/3*a-5/3*d)*arctan((1-2*exp(2/3*b*x+2/3*d))/sqrt(3))/sqrt(3)/b+112/243*exp(5/3*a-5/3*d)*ln(1+exp(2/3*b*x+2/3*d))/b-56/243*exp(5/3*a-5/3*d)*ln(1-exp(2/3*b*x+2/3*d)+exp(4/3*b*x+4/3*d))/b,1],
[F^(c*(b*x+a))*sech(e*x+d),x,2,2*exp(e*x+d)*F^(c*(b*x+a))*hypergeom([1, 1/2*(e+b*c*ln(F))/e],[3/2+1/2*b*c*ln(F)/e],-exp(2*e*x+2*d))/(e+b*c*ln(F)),1],
[F^(c*(b*x+a))*sech(e*x+d)^2,x,2,4*exp(2*e*x+2*d)*F^(c*(b*x+a))*hypergeom([2, 1+1/2*b*c*ln(F)/e],[2+1/2*b*c*ln(F)/e],-exp(2*e*x+2*d))/(2*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*sech(e*x+d)^3,x,2,8*exp(3*e*x+3*d)*F^(c*(b*x+a))*hypergeom([3, 3/2+1/2*b*c*ln(F)/e],[5/2+1/2*b*c*ln(F)/e],-exp(2*e*x+2*d))/(3*e+b*c*ln(F)),1],
[exp(b*x+a)*sech(b*x+a)^n,x,2,exp(b*x+a)*(1+exp(2*b*x+2*a))^n*hypergeom([n, 1/2+1/2*n],[3/2+1/2*n],-exp(2*b*x+2*a))*sech(b*x+a)^n/b/(1+n),1],
[F^(c*(b*x+a))*(f*sech(e*x+d))^n,x,2,(1+exp(2*e*x+2*d))^n*F^(c*(b*x+a))*hypergeom([n, 1/2*n+1/2*b*c*ln(F)/e],[1+1/2*n+1/2*b*c*ln(F)/e],-exp(2*e*x+2*d))*(f*sech(e*x+d))^n/(e*n+b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*sech(d+b*c*x*ln(F)/(-2+n)))^n,x,1,f^2*F^(c*(b*x+a))*(2-n)*(f*sech(d-b*c*x*ln(F)/(2-n)))^(-2+n)/b/c/(1-n)/ln(F)+f*F^(c*(b*x+a))*(2-n)*(f*sech(d-b*c*x*ln(F)/(2-n)))^(-1+n)*sinh(d-b*c*x*ln(F)/(2-n))/b/c/(1-n)/ln(F),1],
[F^(c*(b*x+a))*(f*sech(d-b*c*x*ln(F)/(-2+n)))^n,x,1,f^2*F^(c*(b*x+a))*(2-n)*(f*sech(d+b*c*x*ln(F)/(2-n)))^(-2+n)/b/c/(1-n)/ln(F)-f*F^(c*(b*x+a))*(2-n)*(f*sech(d+b*c*x*ln(F)/(2-n)))^(-1+n)*sinh(d+b*c*x*ln(F)/(2-n))/b/c/(1-n)/ln(F),1],
[exp(b*x+a)*csch(b*x+d),x,2,exp(a-d)*ln(1-exp(2*b*x+2*d))/b,1],
[exp(b*x+a)*csch(b*x+d)^2,x,3,2*exp(b*x+a)/b/(1-exp(2*b*x+2*d))-2*exp(a-d)*arctanh(exp(b*x+d))/b,1],
[exp(b*x+a)*csch(b*x+d)^3,x,2,-2*exp(4*b*x+a+3*d)/b/(1-exp(2*b*x+2*d))^2,1],
[exp(b*x+a)*csch(b*x+d)^4,x,5,8/3*exp(3*b*x+a+2*d)/b/(1-exp(2*b*x+2*d))^3-2*exp(b*x+a)/b/(1-exp(2*b*x+2*d))^2+exp(b*x+a)/b/(1-exp(2*b*x+2*d))+exp(a-d)*arctanh(exp(b*x+d))/b,1],
[exp(b*x+a)*csch(b*x+d)^5,x,4,-4*exp(a-d)/b/(1-exp(2*b*x+2*d))^4+32/3*exp(a-d)/b/(1-exp(2*b*x+2*d))^3-8*exp(a-d)/b/(1-exp(2*b*x+2*d))^2,1],
[exp(2*b*x+2*a)*csch(b*x+d),x,3,2*exp(b*x+2*a-d)/b-2*exp(2*a-2*d)*arctanh(exp(b*x+d))/b,1],
[exp(2*b*x+2*a)*csch(b*x+d)^2,x,4,2*exp(2*a-2*d)/b/(1-exp(2*b*x+2*d))+2*exp(2*a-2*d)*ln(1-exp(2*b*x+2*d))/b,1],
[exp(2*b*x+2*a)*csch(b*x+d)^3,x,4,-2*exp(3*b*x+2*a+d)/b/(1-exp(2*b*x+2*d))^2+3*exp(b*x+2*a-d)/b/(1-exp(2*b*x+2*d))-3*exp(2*a-2*d)*arctanh(exp(b*x+d))/b,1],
[exp(2*b*x+2*a)*csch(b*x+d)^4,x,2,8/3*exp(6*b*x+2*a+4*d)/b/(1-exp(2*b*x+2*d))^3,1],
[exp(2*b*x+2*a)*csch(b*x+d)^5,x,6,-4*exp(5*b*x+2*a+3*d)/b/(1-exp(2*b*x+2*d))^4+10/3*exp(3*b*x+2*a+d)/b/(1-exp(2*b*x+2*d))^3-5/2*exp(b*x+2*a-d)/b/(1-exp(2*b*x+2*d))^2+5/4*exp(b*x+2*a-d)/b/(1-exp(2*b*x+2*d))+5/4*exp(2*a-2*d)*arctanh(exp(b*x+d))/b,1],
[exp(5/3*b*x+5/3*a)*csch(b*x+d),x,9,3*exp(5/3*a-d+2/3*b*x)/b-sqrt(3)*exp(5/3*a-5/3*d)*arctan((1+2*exp(2/3*b*x+2/3*d))/sqrt(3))/b+exp(5/3*a-5/3*d)*ln(1-exp(2/3*b*x+2/3*d))/b-1/2*exp(5/3*a-5/3*d)*ln(1+exp(2/3*b*x+2/3*d)+exp(4/3*b*x+4/3*d))/b,1],
[exp(5/3*b*x+5/3*a)*csch(b*x+d)^2,x,12,2*exp(5/3*b*x+5/3*a)/b/(1-exp(2*b*x+2*d))-5*exp(5/3*a-5/3*d)*arctan((1-2*exp(1/3*b*x+1/3*d))/sqrt(3))/sqrt(3)/b+5*exp(5/3*a-5/3*d)*arctan((1+2*exp(1/3*b*x+1/3*d))/sqrt(3))/sqrt(3)/b-10/3*exp(5/3*a-5/3*d)*arctanh(exp(1/3*b*x+1/3*d))/b-5/3*exp(5/3*a-5/3*d)*arctanh(exp(1/3*b*x+1/3*d)/(1+exp(2/3*b*x+2/3*d)))/b,1],
[exp(5/3*b*x+5/3*a)*csch(b*x+d)^3,x,10,-2*exp(5/3*a+d+8/3*b*x)/b/(1-exp(2*b*x+2*d))^2+8/3*exp(5/3*a-d+2/3*b*x)/b/(1-exp(2*b*x+2*d))-8/3*exp(5/3*a-5/3*d)*arctan((1+2*exp(2/3*b*x+2/3*d))/sqrt(3))/sqrt(3)/b+8/9*exp(5/3*a-5/3*d)*ln(1-exp(2/3*b*x+2/3*d))/b-4/9*exp(5/3*a-5/3*d)*ln(1+exp(2/3*b*x+2/3*d)+exp(4/3*b*x+4/3*d))/b,1],
[exp(5/3*b*x+5/3*a)*csch(b*x+d)^4,x,14,8/3*exp(5/3*a+2*d+11/3*b*x)/b/(1-exp(2*b*x+2*d))^3-22/9*exp(5/3*b*x+5/3*a)/b/(1-exp(2*b*x+2*d))^2+55/27*exp(5/3*b*x+5/3*a)/b/(1-exp(2*b*x+2*d))+55/54*exp(5/3*a-5/3*d)*arctan((1-2*exp(1/3*b*x+1/3*d))/sqrt(3))/sqrt(3)/b-55/54*exp(5/3*a-5/3*d)*arctan((1+2*exp(1/3*b*x+1/3*d))/sqrt(3))/sqrt(3)/b+55/81*exp(5/3*a-5/3*d)*arctanh(exp(1/3*b*x+1/3*d))/b+55/162*exp(5/3*a-5/3*d)*arctanh(exp(1/3*b*x+1/3*d)/(1+exp(2/3*b*x+2/3*d)))/b,1],
[exp(5/3*b*x+5/3*a)*csch(b*x+d)^5,x,12,-4*exp(5/3*a+3*d+14/3*b*x)/b/(1-exp(2*b*x+2*d))^4+28/9*exp(5/3*a+d+8/3*b*x)/b/(1-exp(2*b*x+2*d))^3-56/27*exp(5/3*a-d+2/3*b*x)/b/(1-exp(2*b*x+2*d))^2+56/81*exp(5/3*a-d+2/3*b*x)/b/(1-exp(2*b*x+2*d))+112/81*exp(5/3*a-5/3*d)*arctan((1+2*exp(2/3*b*x+2/3*d))/sqrt(3))/sqrt(3)/b-112/243*exp(5/3*a-5/3*d)*ln(1-exp(2/3*b*x+2/3*d))/b+56/243*exp(5/3*a-5/3*d)*ln(1+exp(2/3*b*x+2/3*d)+exp(4/3*b*x+4/3*d))/b,1],
[F^(c*(b*x+a))*csch(e*x+d),x,2,-2*exp(e*x+d)*F^(c*(b*x+a))*hypergeom([1, 1/2*(e+b*c*ln(F))/e],[3/2+1/2*b*c*ln(F)/e],exp(2*e*x+2*d))/(e+b*c*ln(F)),1],
[F^(c*(b*x+a))*csch(e*x+d)^2,x,2,4*exp(2*e*x+2*d)*F^(c*(b*x+a))*hypergeom([2, 1+1/2*b*c*ln(F)/e],[2+1/2*b*c*ln(F)/e],exp(2*e*x+2*d))/(2*e+b*c*ln(F)),1],
[F^(c*(b*x+a))*csch(e*x+d)^3,x,2,-8*exp(3*e*x+3*d)*F^(c*(b*x+a))*hypergeom([3, 3/2+1/2*b*c*ln(F)/e],[5/2+1/2*b*c*ln(F)/e],exp(2*e*x+2*d))/(3*e+b*c*ln(F)),1],
[exp(b*x+a)*csch(b*x+a)^n,x,3,exp(b*x+a)*(1-exp(2*b*x+2*a))^n*csch(b*x+a)^n*hypergeom([n, 1/2+1/2*n],[3/2+1/2*n],exp(2*b*x+2*a))/b/(1+n),1],
[F^(c*(b*x+a))*(f*csch(e*x+d))^n,x,3,(1-exp(2*e*x+2*d))^n*F^(c*(b*x+a))*(f*csch(e*x+d))^n*hypergeom([n, 1/2*n+1/2*b*c*ln(F)/e],[1+1/2*n+1/2*b*c*ln(F)/e],exp(2*e*x+2*d))/(e*n+b*c*ln(F)),1],
[F^(c*(b*x+a))*(f*csch(d+b*c*x*ln(F)/(-2+n)))^n,x,1,-f^2*F^(c*(b*x+a))*(2-n)*(f*csch(d-b*c*x*ln(F)/(2-n)))^(-2+n)/b/c/(1-n)/ln(F)-f*F^(c*(b*x+a))*(2-n)*cosh(d-b*c*x*ln(F)/(2-n))*(f*csch(d-b*c*x*ln(F)/(2-n)))^(-1+n)/b/c/(1-n)/ln(F),1],
[F^(c*(b*x+a))*(f*csch(d-b*c*x*ln(F)/(-2+n)))^n,x,1,-f^2*F^(c*(b*x+a))*(2-n)*(f*csch(d+b*c*x*ln(F)/(2-n)))^(-2+n)/b/c/(1-n)/ln(F)+f*F^(c*(b*x+a))*(2-n)*cosh(d+b*c*x*ln(F)/(2-n))*(f*csch(d+b*c*x*ln(F)/(2-n)))^(-1+n)/b/c/(1-n)/ln(F),1]]: