lst:=[[tanh(b*x+a)^6,x,4,x-tanh(b*x+a)/b-1/3*tanh(b*x+a)^3/b-1/5*tanh(b*x+a)^5/b,1],
[tanh(b*x+a)^5,x,3,ln(cosh(b*x+a))/b-1/2*tanh(b*x+a)^2/b-1/4*tanh(b*x+a)^4/b,1],
[tanh(b*x+a)^4,x,3,x-tanh(b*x+a)/b-1/3*tanh(b*x+a)^3/b,1],
[tanh(b*x+a)^3,x,2,ln(cosh(b*x+a))/b-1/2*tanh(b*x+a)^2/b,1],
[tanh(b*x+a)^2,x,2,x-tanh(b*x+a)/b,1],
[tanh(b*x+a),x,1,ln(cosh(b*x+a))/b,1],
[coth(b*x+a),x,1,ln(sinh(b*x+a))/b,1],
[coth(b*x+a)^2,x,2,x-coth(b*x+a)/b,1],
[coth(b*x+a)^3,x,2,-1/2*coth(b*x+a)^2/b+ln(sinh(b*x+a))/b,1],
[coth(b*x+a)^4,x,3,x-coth(b*x+a)/b-1/3*coth(b*x+a)^3/b,1],
[coth(b*x+a)^5,x,3,-1/2*coth(b*x+a)^2/b-1/4*coth(b*x+a)^4/b+ln(sinh(b*x+a))/b,1],
[coth(b*x+a)^6,x,4,x-coth(b*x+a)/b-1/3*coth(b*x+a)^3/b-1/5*coth(b*x+a)^5/b,1],
[(b*tanh(d*x+c))^(7/2),x,7,b^(7/2)*arctan(sqrt(b*tanh(d*x+c))/sqrt(b))/d+b^(7/2)*arctanh(sqrt(b*tanh(d*x+c))/sqrt(b))/d-2*b^3*sqrt(b*tanh(d*x+c))/d-2/5*b*(b*tanh(d*x+c))^(5/2)/d,1],
[(b*tanh(d*x+c))^(5/2),x,6,-b^(5/2)*arctan(sqrt(b*tanh(d*x+c))/sqrt(b))/d+b^(5/2)*arctanh(sqrt(b*tanh(d*x+c))/sqrt(b))/d-2/3*b*(b*tanh(d*x+c))^(3/2)/d,1],
[(b*tanh(d*x+c))^(3/2),x,6,b^(3/2)*arctan(sqrt(b*tanh(d*x+c))/sqrt(b))/d+b^(3/2)*arctanh(sqrt(b*tanh(d*x+c))/sqrt(b))/d-2*b*sqrt(b*tanh(d*x+c))/d,1],
[sqrt(b*tanh(d*x+c)),x,5,-sqrt(b)*arctan(sqrt(b*tanh(d*x+c))/sqrt(b))/d+sqrt(b)*arctanh(sqrt(b*tanh(d*x+c))/sqrt(b))/d,1],
[1/sqrt(b*tanh(d*x+c)),x,5,arctan(sqrt(b*tanh(d*x+c))/sqrt(b))/sqrt(b)/d+arctanh(sqrt(b*tanh(d*x+c))/sqrt(b))/sqrt(b)/d,1],
[1/(b*tanh(d*x+c))^(3/2),x,6,-arctan(sqrt(b*tanh(d*x+c))/sqrt(b))/b^(3/2)/d+arctanh(sqrt(b*tanh(d*x+c))/sqrt(b))/b^(3/2)/d-2/b/d/sqrt(b*tanh(d*x+c)),1],
[1/(b*tanh(d*x+c))^(5/2),x,6,arctan(sqrt(b*tanh(d*x+c))/sqrt(b))/b^(5/2)/d+arctanh(sqrt(b*tanh(d*x+c))/sqrt(b))/b^(5/2)/d-2/3/b/d/(b*tanh(d*x+c))^(3/2),1],
[1/(b*tanh(d*x+c))^(7/2),x,7,-arctan(sqrt(b*tanh(d*x+c))/sqrt(b))/b^(7/2)/d+arctanh(sqrt(b*tanh(d*x+c))/sqrt(b))/b^(7/2)/d-2/5/b/d/(b*tanh(d*x+c))^(5/2)-2/b^3/d/sqrt(b*tanh(d*x+c)),1],
[tanh(8*x)^(1/3),x,9,-1/16*sqrt(3)*arctan((1+2*tanh(8*x)^(2/3))/sqrt(3))-1/16*ln(1-tanh(8*x)^(2/3))+1/32*ln(1+tanh(8*x)^(2/3)+tanh(8*x)^(4/3)),1],
[tanh(b*x+a)^n,x,2,hypergeom([1, 1/2+1/2*n],[3/2+1/2*n],tanh(b*x+a)^2)*tanh(b*x+a)^(1+n)/b/(1+n),1],
[(b*tanh(d*x+c))^n,x,2,hypergeom([1, 1/2+1/2*n],[3/2+1/2*n],tanh(d*x+c)^2)*(b*tanh(d*x+c))^(1+n)/b/d/(1+n),1],
[(a*tanh(x)^2)^(3/2),x,3,a*coth(x)*ln(cosh(x))*sqrt(a*tanh(x)^2)-1/2*a*tanh(x)*sqrt(a*tanh(x)^2),1],
[sqrt(a*tanh(x)^2),x,2,coth(x)*ln(cosh(x))*sqrt(a*tanh(x)^2),1],
[1/sqrt(a*tanh(x)^2),x,2,ln(sinh(x))*tanh(x)/sqrt(a*tanh(x)^2),1],
[(-tanh(d*x+c)^2)^(5/2),x,4,coth(d*x+c)*ln(cosh(d*x+c))*sqrt(-tanh(d*x+c)^2)/d-1/2*tanh(d*x+c)*sqrt(-tanh(d*x+c)^2)/d-1/4*tanh(d*x+c)^3*sqrt(-tanh(d*x+c)^2)/d,1],
[(-tanh(d*x+c)^2)^(3/2),x,3,-coth(d*x+c)*ln(cosh(d*x+c))*sqrt(-tanh(d*x+c)^2)/d+1/2*tanh(d*x+c)*sqrt(-tanh(d*x+c)^2)/d,1],
[sqrt(-tanh(d*x+c)^2),x,2,coth(d*x+c)*ln(cosh(d*x+c))*sqrt(-tanh(d*x+c)^2)/d,1],
[1/sqrt(-tanh(d*x+c)^2),x,2,ln(sinh(d*x+c))*tanh(d*x+c)/d/sqrt(-tanh(d*x+c)^2),1],
[1/(-tanh(d*x+c)^2)^(3/2),x,3,1/2*coth(d*x+c)/d/sqrt(-tanh(d*x+c)^2)-ln(sinh(d*x+c))*tanh(d*x+c)/d/sqrt(-tanh(d*x+c)^2),1],
[1/(-tanh(d*x+c)^2)^(5/2),x,4,-1/2*coth(d*x+c)/d/sqrt(-tanh(d*x+c)^2)-1/4*coth(d*x+c)^3/d/sqrt(-tanh(d*x+c)^2)+ln(sinh(d*x+c))*tanh(d*x+c)/d/sqrt(-tanh(d*x+c)^2),1],
[sqrt(tanh(x)^3),x,7,-2*coth(x)*sqrt(tanh(x)^3)+arctan(sqrt(tanh(x)))*sqrt(tanh(x)^3)/tanh(x)^(3/2)+arctanh(sqrt(tanh(x)))*sqrt(tanh(x)^3)/tanh(x)^(3/2),1],
[(a*tanh(x)^3)^(3/2),x,8,-2/3*a*sqrt(a*tanh(x)^3)-a*arctan(sqrt(tanh(x)))*sqrt(a*tanh(x)^3)/tanh(x)^(3/2)+a*arctanh(sqrt(tanh(x)))*sqrt(a*tanh(x)^3)/tanh(x)^(3/2)-2/7*a*tanh(x)^2*sqrt(a*tanh(x)^3),1],
[sqrt(a*tanh(x)^3),x,7,-2*coth(x)*sqrt(a*tanh(x)^3)+arctan(sqrt(tanh(x)))*sqrt(a*tanh(x)^3)/tanh(x)^(3/2)+arctanh(sqrt(tanh(x)))*sqrt(a*tanh(x)^3)/tanh(x)^(3/2),1],
[1/sqrt(a*tanh(x)^3),x,7,-2*tanh(x)/sqrt(a*tanh(x)^3)-arctan(sqrt(tanh(x)))*tanh(x)^(3/2)/sqrt(a*tanh(x)^3)+arctanh(sqrt(tanh(x)))*tanh(x)^(3/2)/sqrt(a*tanh(x)^3),1],
[(a*tanh(x)^4)^(3/2),x,5,-a*coth(x)*sqrt(a*tanh(x)^4)+a*x*coth(x)^2*sqrt(a*tanh(x)^4)-1/3*a*tanh(x)*sqrt(a*tanh(x)^4)-1/5*a*tanh(x)^3*sqrt(a*tanh(x)^4),1],
[sqrt(a*tanh(x)^4),x,3,-coth(x)*sqrt(a*tanh(x)^4)+x*coth(x)^2*sqrt(a*tanh(x)^4),1],
[1/sqrt(a*tanh(x)^4),x,3,-tanh(x)/sqrt(a*tanh(x)^4)+x*tanh(x)^2/sqrt(a*tanh(x)^4),1],
[(b*tanh(d*x+c)^m)^n,x,3,hypergeom([1, 1/2*m*n+1/2],[1/2*m*n+3/2],tanh(d*x+c)^2)*tanh(d*x+c)*(b*tanh(d*x+c)^m)^n/d/(m*n+1),1],
[(a+a*tanh(d*x+c))^5,x,5,16*a^5*x+16*a^5*ln(cosh(d*x+c))/d-8*a^5*tanh(d*x+c)/d-2/3*a^2*(a+a*tanh(d*x+c))^3/d-1/4*a*(a+a*tanh(d*x+c))^4/d-2*a*(a^2+a^2*tanh(d*x+c))^2/d,1],
[(a+a*tanh(d*x+c))^4,x,4,8*a^4*x+8*a^4*ln(cosh(d*x+c))/d-4*a^4*tanh(d*x+c)/d-1/3*a*(a+a*tanh(d*x+c))^3/d-(a^2+a^2*tanh(d*x+c))^2/d,1],
[(a+a*tanh(d*x+c))^3,x,3,4*a^3*x+4*a^3*ln(cosh(d*x+c))/d-2*a^3*tanh(d*x+c)/d-1/2*a*(a+a*tanh(d*x+c))^2/d,1],
[(a+a*tanh(d*x+c))^2,x,2,2*a^2*x+2*a^2*ln(cosh(d*x+c))/d-a^2*tanh(d*x+c)/d,1],
[1/(a+a*tanh(d*x+c)),x,2,1/2*x/a-1/2/d/(a+a*tanh(d*x+c)),1],
[1/(a+a*tanh(d*x+c))^2,x,3,1/4*x/a^2-1/4/d/(a+a*tanh(d*x+c))^2-1/4/d/(a^2+a^2*tanh(d*x+c)),1],
[1/(a+a*tanh(d*x+c))^3,x,4,1/8*x/a^3-1/6/d/(a+a*tanh(d*x+c))^3-1/8/a/d/(a+a*tanh(d*x+c))^2-1/8/d/(a^3+a^3*tanh(d*x+c)),1],
[1/(a+a*tanh(d*x+c))^4,x,5,1/16*x/a^4-1/8/d/(a+a*tanh(d*x+c))^4-1/12/a/d/(a+a*tanh(d*x+c))^3-1/16/d/(a^2+a^2*tanh(d*x+c))^2-1/16/d/(a^4+a^4*tanh(d*x+c)),1],
[1/(a+a*tanh(d*x+c))^5,x,6,1/32*x/a^5-1/10/d/(a+a*tanh(d*x+c))^5-1/16/a/d/(a+a*tanh(d*x+c))^4-1/24/a^2/d/(a+a*tanh(d*x+c))^3-1/32/a/d/(a^2+a^2*tanh(d*x+c))^2-1/32/d/(a^5+a^5*tanh(d*x+c)),1],
[(1+tanh(x))^(7/2),x,5,8*sqrt(2)*arctanh(sqrt(1+tanh(x))/sqrt(2))-8*sqrt(1+tanh(x))-4/3*(1+tanh(x))^(3/2)-2/5*(1+tanh(x))^(5/2),1],
[(1+tanh(x))^(5/2),x,4,4*sqrt(2)*arctanh(sqrt(1+tanh(x))/sqrt(2))-4*sqrt(1+tanh(x))-2/3*(1+tanh(x))^(3/2),1],
[(1+tanh(x))^(3/2),x,3,2*sqrt(2)*arctanh(sqrt(1+tanh(x))/sqrt(2))-2*sqrt(1+tanh(x)),1],
[sqrt(1+tanh(x)),x,2,sqrt(2)*arctanh(sqrt(1+tanh(x))/sqrt(2)),1],
[1/sqrt(1+tanh(x)),x,3,arctanh(sqrt(1+tanh(x))/sqrt(2))/sqrt(2)-1/sqrt(1+tanh(x)),1],
[1/(1+tanh(x))^(3/2),x,4,1/2*arctanh(sqrt(1+tanh(x))/sqrt(2))/sqrt(2)-1/3/(1+tanh(x))^(3/2)-1/2/sqrt(1+tanh(x)),1],
[1/(1+tanh(x))^(5/2),x,5,1/4*arctanh(sqrt(1+tanh(x))/sqrt(2))/sqrt(2)-1/5/(1+tanh(x))^(5/2)-1/6/(1+tanh(x))^(3/2)-1/4/sqrt(1+tanh(x)),1],
[(a+b*tanh(d*x+c))^5,x,5,a*(a^4+10*a^2*b^2+5*b^4)*x+b*(5*a^4+10*a^2*b^2+b^4)*ln(cosh(d*x+c))/d-4*a*b^2*(a^2+b^2)*tanh(d*x+c)/d-1/2*b*(3*a^2+b^2)*(a+b*tanh(d*x+c))^2/d-2/3*a*b*(a+b*tanh(d*x+c))^3/d-1/4*b*(a+b*tanh(d*x+c))^4/d,1],
[(a+b*tanh(d*x+c))^4,x,4,(a^4+6*a^2*b^2+b^4)*x+4*a*b*(a^2+b^2)*ln(cosh(d*x+c))/d-b^2*(3*a^2+b^2)*tanh(d*x+c)/d-a*b*(a+b*tanh(d*x+c))^2/d-1/3*b*(a+b*tanh(d*x+c))^3/d,1],
[(a+b*tanh(d*x+c))^3,x,3,a*(a^2+3*b^2)*x+b*(3*a^2+b^2)*ln(cosh(d*x+c))/d-2*a*b^2*tanh(d*x+c)/d-1/2*b*(a+b*tanh(d*x+c))^2/d,1],
[(a+b*tanh(d*x+c))^2,x,2,(a^2+b^2)*x+2*a*b*ln(cosh(d*x+c))/d-b^2*tanh(d*x+c)/d,1],
[1/(a+b*tanh(d*x+c)),x,2,a*x/(a^2-b^2)-b*ln(a*cosh(d*x+c)+b*sinh(d*x+c))/(a^2-b^2)/d,1],
[1/(a+b*tanh(d*x+c))^2,x,3,(a^2+b^2)*x/(a^2-b^2)^2-2*a*b*ln(a*cosh(d*x+c)+b*sinh(d*x+c))/(a^2-b^2)^2/d+b/(a^2-b^2)/d/(a+b*tanh(d*x+c)),1],
[1/(a+b*tanh(d*x+c))^3,x,4,a*(a^2+3*b^2)*x/(a^2-b^2)^3-b*(3*a^2+b^2)*ln(a*cosh(d*x+c)+b*sinh(d*x+c))/(a^2-b^2)^3/d+1/2*b/(a^2-b^2)/d/(a+b*tanh(d*x+c))^2+2*a*b/(a^2-b^2)^2/d/(a+b*tanh(d*x+c)),1],
[1/(a+b*tanh(d*x+c))^4,x,5,(a^4+6*a^2*b^2+b^4)*x/(a^2-b^2)^4-4*a*b*(a^2+b^2)*ln(a*cosh(d*x+c)+b*sinh(d*x+c))/(a^2-b^2)^4/d+1/3*b/(a^2-b^2)/d/(a+b*tanh(d*x+c))^3+a*b/(a^2-b^2)^2/d/(a+b*tanh(d*x+c))^2+b*(3*a^2+b^2)/(a^2-b^2)^3/d/(a+b*tanh(d*x+c)),1],
[1/(4+6*tanh(d*x+c)),x,2,-1/5*x+3/10*ln(2*cosh(d*x+c)+3*sinh(d*x+c))/d,1],
[1/(4-6*tanh(d*x+c)),x,2,-1/5*x-3/10*ln(2*cosh(d*x+c)-3*sinh(d*x+c))/d,1],
[sqrt(a+b*tanh(d*x+c)),x,5,-sqrt(a-b)*arctanh(sqrt(a+b*tanh(d*x+c))/sqrt(a-b))/d+sqrt(a+b)*arctanh(sqrt(a+b*tanh(d*x+c))/sqrt(a+b))/d,1],
[1/sqrt(a+b*tanh(d*x+c)),x,5,-arctanh(sqrt(a+b*tanh(d*x+c))/sqrt(a-b))/sqrt(a-b)/d+arctanh(sqrt(a+b*tanh(d*x+c))/sqrt(a+b))/sqrt(a+b)/d,1],
[sinh(x)^4/(1+tanh(x)),x,5,1/16*x+1/32/(1-tanh(x))^2-1/(8-8*tanh(x))-1/24/(1+tanh(x))^3+5/32/(1+tanh(x))^2-3/(16+16*tanh(x)),1],
[sinh(x)^3/(1+tanh(x)),x,9,-1/3*cosh(x)^3+1/5*cosh(x)^5-1/5*sinh(x)^5,1],
[sinh(x)^2/(1+tanh(x)),x,5,-1/8*x+1/(8-8*tanh(x))-1/8/(1+tanh(x))^2+1/(4+4*tanh(x)),1],
[sinh(x)/(1+tanh(x)),x,8,1/3*cosh(x)^3-1/3*sinh(x)^3,1],
[csch(x)/(1+tanh(x)),x,8,-arctanh(cosh(x))+cosh(x)-sinh(x),1],
[csch(x)^2/(1+tanh(x)),x,3,-coth(x)-ln(tanh(x))+ln(1+tanh(x)),1],
[csch(x)^3/(1+tanh(x)),x,8,-1/2*arctanh(cosh(x))+csch(x)-1/2*coth(x)*csch(x),1],
[csch(x)^4/(1+tanh(x)),x,4,1/2*coth(x)^2-1/3*coth(x)^3,1],
[csch(x)^5/(1+tanh(x)),x,9,1/8*arctanh(cosh(x))-1/8*coth(x)*csch(x)+1/3*csch(x)^3-1/4*coth(x)*csch(x)^3,1],
[csch(x)^6/(1+tanh(x)),x,4,-1/2*coth(x)^2+1/3*coth(x)^3+1/4*coth(x)^4-1/5*coth(x)^5,1],
[csch(x)^7/(1+tanh(x)),x,10,-1/16*arctanh(cosh(x))+1/16*coth(x)*csch(x)-1/24*coth(x)*csch(x)^3+1/5*csch(x)^5-1/6*coth(x)*csch(x)^5,1],
[sinh(x)^4/(a+b*tanh(x)),x,5,-1/16*a*(3*a+b)*ln(1-tanh(x))/(a+b)^3+1/16*a*(3*a-b)*ln(1+tanh(x))/(a-b)^3-a^4*b*ln(a+b*tanh(x))/(a^2-b^2)^3-cosh(x)^4*(b-a*tanh(x))/(4*a^2-4*b^2)+1/8*cosh(x)^2*(4*b*(2*a^2-b^2)-a*(5*a^2-b^2)*tanh(x))/(a^2-b^2)^2,1],
[sinh(x)^3/(a+b*tanh(x)),x,10,-a^3*b*arctan((b*cosh(x)+a*sinh(x))/sqrt(a^2-b^2))/(a^2-b^2)^(5/2)-a*b^2*cosh(x)/(a^2-b^2)^2-a*cosh(x)/(a^2-b^2)+a*cosh(x)^3/(3*a^2-3*b^2)+a^2*b*sinh(x)/(a^2-b^2)^2-b*sinh(x)^3/(3*a^2-3*b^2),1],
[sinh(x)^2/(a+b*tanh(x)),x,4,1/4*a*ln(1-tanh(x))/(a+b)^2-1/4*a*ln(1+tanh(x))/(a-b)^2+a^2*b*ln(a+b*tanh(x))/(a^2-b^2)^2-cosh(x)^2*(b-a*tanh(x))/(2*a^2-2*b^2),1],
[sinh(x)/(a+b*tanh(x)),x,6,a*b*arctan((b*cosh(x)+a*sinh(x))/sqrt(a^2-b^2))/(a^2-b^2)^(3/2)+a*cosh(x)/(a^2-b^2)-b*sinh(x)/(a^2-b^2),1],
[csch(x)/(a+b*tanh(x)),x,6,-b*arctan((b*cosh(x)+a*sinh(x))/sqrt(a^2-b^2))/a/sqrt(a^2-b^2)-arctanh(cosh(x))/a,1],
[csch(x)^2/(a+b*tanh(x)),x,3,-coth(x)/a-b*ln(tanh(x))/a^2+b*ln(a+b*tanh(x))/a^2,1],
[csch(x)^3/(a+b*tanh(x)),x,15,b*sqrt(a^2-b^2)*arctan((b*cosh(x)+a*sinh(x))/sqrt(a^2-b^2))/a^3+1/2*arctanh(cosh(x))/a-b^2*arctanh(cosh(x))/a^3+b*csch(x)/a^2-1/2*coth(x)*csch(x)/a,1],
[csch(x)^4/(a+b*tanh(x)),x,3,(a^2-b^2)*coth(x)/a^3+1/2*b*coth(x)^2/a^2-1/3*coth(x)^3/a+b*(a^2-b^2)*ln(tanh(x))/a^4-b*(a^2-b^2)*ln(a+b*tanh(x))/a^4,1],
[csch(x)^5/(a+b*tanh(x)),x,31,-b*arctan(sinh(x))/a^2+b^3*arctan(sinh(x))/a^4+b*(a^2-b^2)*arctan(sinh(x))/a^4-b*(a^2-b^2)^(3/2)*arctan((b*cosh(x)+a*sinh(x))/sqrt(a^2-b^2))/a^5-3/8*arctanh(cosh(x))/a+3/2*b^2*arctanh(cosh(x))/a^3-b^4*arctanh(cosh(x))/a^5-b*csch(x)/a^2+b^3*csch(x)/a^4+3/8*coth(x)*csch(x)/a-1/2*b^2*coth(x)*csch(x)/a^3+1/3*b*csch(x)^3/a^2-1/4*coth(x)*csch(x)^3/a-b^2*sech(x)/a^3+b^4*sech(x)/a^5+b^2*(a^2-b^2)*sech(x)/a^5,1],
[csch(x)^6/(a+b*tanh(x)),x,3,-(a^2-b^2)^2*coth(x)/a^5-1/2*b*(2*a^2-b^2)*coth(x)^2/a^4+1/3*(2*a^2-b^2)*coth(x)^3/a^3+1/4*b*coth(x)^4/a^2-1/5*coth(x)^5/a-b*(a^2-b^2)^2*ln(tanh(x))/a^6+b*(a^2-b^2)^2*ln(a+b*tanh(x))/a^6,1],
[csch(x)/(I+tanh(x)),x,6,I*arctanh(cosh(x))-I*arctanh((cosh(x)+I*sinh(x))/sqrt(2))/sqrt(2),1],
[(d*sech(f*x+e))^m*(a+b*tanh(f*x+e))^n,x,2,-b*AppellF1(1+n,1-1/2*m,1-1/2*m,2+n,(a+b*tanh(f*x+e))/(a-b),(a+b*tanh(f*x+e))/(a+b))*(d*sech(f*x+e))^m*(a+b*tanh(f*x+e))^(1+n)/(a^2-b^2)/f/(1+n)/((1-(a+b*tanh(f*x+e))/(a-b))^(1/2*m))/((1-(a+b*tanh(f*x+e))/(a+b))^(1/2*m)),1],
[cosh(x)^4/(1+tanh(x)),x,4,5/16*x+1/32/(1-tanh(x))^2+1/(8-8*tanh(x))-1/24/(1+tanh(x))^3-3/32/(1+tanh(x))^2-3/(16+16*tanh(x)),1],
[cosh(x)^3/(1+tanh(x)),x,3,4/5*sinh(x)+4/15*sinh(x)^3-cosh(x)^3/(5+5*tanh(x)),1],
[cosh(x)^2/(1+tanh(x)),x,4,3/8*x+1/(8-8*tanh(x))-1/8/(1+tanh(x))^2-1/(4+4*tanh(x)),1],
[cosh(x)/(1+tanh(x)),x,2,2/3*sinh(x)-cosh(x)/(3+3*tanh(x)),1],
[sech(x)/(1+tanh(x)),x,1,-sech(x)/(1+tanh(x)),1],
[sech(x)^2/(1+tanh(x)),x,2,ln(1+tanh(x)),1],
[sech(x)^3/(1+tanh(x)),x,2,arctan(sinh(x))+sech(x),1],
[sech(x)^4/(1+tanh(x)),x,2,-1/2*(1-tanh(x))^2,1],
[sech(x)^5/(1+tanh(x)),x,3,1/2*arctan(sinh(x))+1/3*sech(x)^3+1/2*sech(x)*tanh(x),1],
[sech(x)^6/(1+tanh(x)),x,3,-2/3*(1-tanh(x))^3+1/4*(1-tanh(x))^4,1],
[sech(x)^7/(1+tanh(x)),x,4,3/8*arctan(sinh(x))+1/5*sech(x)^5+3/8*sech(x)*tanh(x)+1/4*sech(x)^3*tanh(x),1],
[sech(x)^8/(a+b*tanh(x)),x,3,-(a^2-b^2)^3*ln(a+b*tanh(x))/b^7+a*(a^4-3*a^2*b^2+3*b^4)*tanh(x)/b^6-1/2*(a^4-3*a^2*b^2+3*b^4)*tanh(x)^2/b^5+1/3*a*(a^2-3*b^2)*tanh(x)^3/b^4-1/4*(a^2-3*b^2)*tanh(x)^4/b^3+1/5*a*tanh(x)^5/b^2-1/6*tanh(x)^6/b,1],
[sech(x)^6/(a+b*tanh(x)),x,3,(a^2-b^2)^2*ln(a+b*tanh(x))/b^5-a*(a^2-2*b^2)*tanh(x)/b^4+1/2*(a^2-2*b^2)*tanh(x)^2/b^3-1/3*a*tanh(x)^3/b^2+1/4*tanh(x)^4/b,1],
[sech(x)^4/(a+b*tanh(x)),x,3,-(a^2-b^2)*ln(a+b*tanh(x))/b^3+a*tanh(x)/b^2-1/2*tanh(x)^2/b,1],
[sech(x)^2/(a+b*tanh(x)),x,2,ln(a+b*tanh(x))/b,1],
[1/(a+b*tanh(x)),x,2,a*x/(a^2-b^2)-b*ln(a*cosh(x)+b*sinh(x))/(a^2-b^2),1],
[cosh(x)^2/(a+b*tanh(x)),x,3,-1/4*(a+2*b)*ln(1-tanh(x))/(a+b)^2+1/4*(a-2*b)*ln(1+tanh(x))/(a-b)^2+b^3*ln(a+b*tanh(x))/(a^2-b^2)^2+1/4/(a+b)/(1-tanh(x))-1/4/(a-b)/(1+tanh(x)),1],
[cosh(x)^4/(a+b*tanh(x)),x,3,-1/16*(3*a^2+9*a*b+8*b^2)*ln(1-tanh(x))/(a+b)^3+1/16*(3*a^2-9*a*b+8*b^2)*ln(1+tanh(x))/(a-b)^3-b^5*ln(a+b*tanh(x))/(a^2-b^2)^3+1/16/(a+b)/(1-tanh(x))^2+1/16*(3*a+5*b)/(a+b)^2/(1-tanh(x))-1/16/(a-b)/(1+tanh(x))^2-1/16*(3*a-5*b)/(a-b)^2/(1+tanh(x)),1],
[sech(x)^7/(a+b*tanh(x)),x,14,1/8*a*(8*a^4-20*a^2*b^2+15*b^4)*arctan(sinh(x))/b^6-(a^2-b^2)^(5/2)*arctan(cosh(x)*(b+a*tanh(x))/sqrt(a^2-b^2))/b^6+(a^2-b^2)^2*sech(x)/b^5-1/3*(a^2-b^2)*sech(x)^3/b^3+1/5*sech(x)^5/b-1/8*a*(4*a^2-7*b^2)*sech(x)*tanh(x)/b^4+1/4*a*sech(x)^3*tanh(x)/b^2,1],
[sech(x)^5/(a+b*tanh(x)),x,9,-1/2*a*(2*a^2-3*b^2)*arctan(sinh(x))/b^4+(a^2-b^2)^(3/2)*arctan(cosh(x)*(b+a*tanh(x))/sqrt(a^2-b^2))/b^4-(a^2-b^2)*sech(x)/b^3+1/3*sech(x)^3/b+1/2*a*sech(x)*tanh(x)/b^2,1],
[sech(x)^3/(a+b*tanh(x)),x,5,a*arctan(sinh(x))/b^2-sqrt(a^2-b^2)*arctan(cosh(x)*(b+a*tanh(x))/sqrt(a^2-b^2))/b^2+sech(x)/b,1],
[sech(x)/(a+b*tanh(x)),x,2,arctan(cosh(x)*(b+a*tanh(x))/sqrt(a^2-b^2))/sqrt(a^2-b^2),1],
[cosh(x)/(a+b*tanh(x)),x,5,-b^2*arctan(cosh(x)*(b+a*tanh(x))/sqrt(a^2-b^2))/(a^2-b^2)^(3/2)-b*cosh(x)/(a^2-b^2)+a*sinh(x)/(a^2-b^2),1],
[cosh(x)^3/(a+b*tanh(x)),x,9,b^4*arctan(cosh(x)*(b+a*tanh(x))/sqrt(a^2-b^2))/(a^2-b^2)^(5/2)+b^3*cosh(x)/(a^2-b^2)^2-b*cosh(x)^3/(3*a^2-3*b^2)-a*b^2*sinh(x)/(a^2-b^2)^2+a*sinh(x)/(a^2-b^2)+a*sinh(x)^3/(3*a^2-3*b^2),1],
[tanh(x)^5/(1+tanh(x)),x,5,5/2*x-2*ln(cosh(x))-5/2*tanh(x)+tanh(x)^2-5/6*tanh(x)^3+tanh(x)^4/(2+2*tanh(x)),1],
[tanh(x)^4/(1+tanh(x)),x,4,-3/2*x+2*ln(cosh(x))+3/2*tanh(x)-tanh(x)^2+tanh(x)^3/(2+2*tanh(x)),1],
[tanh(x)^3/(1+tanh(x)),x,3,3/2*x-ln(cosh(x))-3/2*tanh(x)+tanh(x)^2/(2+2*tanh(x)),1],
[tanh(x)^2/(1+tanh(x)),x,3,-1/2*x+ln(cosh(x))-1/(2+2*tanh(x)),1],
[tanh(x)/(1+tanh(x)),x,2,1/2*x+1/(2+2*tanh(x)),1],
[1/(1+tanh(x)),x,2,1/2*x-1/(2+2*tanh(x)),1],
[coth(x)/(1+tanh(x)),x,4,-1/2*x+ln(sinh(x))+1/(2+2*tanh(x)),1],
[coth(x)^2/(1+tanh(x)),x,4,3/2*x-3/2*coth(x)-ln(sinh(x))+coth(x)/(2+2*tanh(x)),1],
[coth(x)^3/(1+tanh(x)),x,5,-3/2*x+3/2*coth(x)-coth(x)^2+2*ln(sinh(x))+coth(x)^2/(2+2*tanh(x)),1],
[coth(x)^4/(1+tanh(x)),x,6,5/2*x-5/2*coth(x)+coth(x)^2-5/6*coth(x)^3-2*ln(sinh(x))+coth(x)^3/(2+2*tanh(x)),1],
[tanh(x)*(1+tanh(x))^(3/2),x,4,2*sqrt(2)*arctanh(sqrt(1+tanh(x))/sqrt(2))-2*sqrt(1+tanh(x))-2/3*(1+tanh(x))^(3/2),1],
[tanh(x)*sqrt(1+tanh(x)),x,3,sqrt(2)*arctanh(sqrt(1+tanh(x))/sqrt(2))-2*sqrt(1+tanh(x)),1],
[tanh(x)/sqrt(1+tanh(x)),x,3,arctanh(sqrt(1+tanh(x))/sqrt(2))/sqrt(2)+1/sqrt(1+tanh(x)),1],
[tanh(x)/(1+tanh(x))^(3/2),x,4,1/2*arctanh(sqrt(1+tanh(x))/sqrt(2))/sqrt(2)+1/3/(1+tanh(x))^(3/2)-1/2/sqrt(1+tanh(x)),1],
[tanh(x)^2*(1+tanh(x))^(3/2),x,4,2*sqrt(2)*arctanh(sqrt(1+tanh(x))/sqrt(2))-2*sqrt(1+tanh(x))-2/5*(1+tanh(x))^(5/2),1],
[tanh(x)^2*sqrt(1+tanh(x)),x,3,sqrt(2)*arctanh(sqrt(1+tanh(x))/sqrt(2))-2/3*(1+tanh(x))^(3/2),1],
[tanh(x)^2/sqrt(1+tanh(x)),x,4,arctanh(sqrt(1+tanh(x))/sqrt(2))/sqrt(2)-1/sqrt(1+tanh(x))-2*sqrt(1+tanh(x)),1],
[tanh(x)^2/(1+tanh(x))^(3/2),x,4,1/2*arctanh(sqrt(1+tanh(x))/sqrt(2))/sqrt(2)-1/3/(1+tanh(x))^(3/2)+3/2/sqrt(1+tanh(x)),1],
[tanh(x)^5/(a+b*tanh(x)),x,7,-b*x/(a^2-b^2)+a*ln(cosh(x))/(a^2-b^2)+a^5*ln(a+b*tanh(x))/b^4/(a^2-b^2)-(a^2+b^2)*tanh(x)/b^3+1/2*a*tanh(x)^2/b^2-1/3*tanh(x)^3/b,1],
[tanh(x)^4/(a+b*tanh(x)),x,6,a*x/(a^2-b^2)-b*ln(cosh(x))/(a^2-b^2)-a^4*ln(a+b*tanh(x))/b^3/(a^2-b^2)+a*tanh(x)/b^2-1/2*tanh(x)^2/b,1],
[tanh(x)^3/(a+b*tanh(x)),x,5,-b*x/(a^2-b^2)+a*ln(cosh(x))/(a^2-b^2)+a^3*ln(a+b*tanh(x))/b^2/(a^2-b^2)-tanh(x)/b,1],
[tanh(x)^2/(a+b*tanh(x)),x,4,-a*x/b^2+a^3*x/b^2/(a^2-b^2)+ln(cosh(x))/b-a^2*ln(a*cosh(x)+b*sinh(x))/b/(a^2-b^2),1],
[tanh(x)/(a+b*tanh(x)),x,2,-b*x/(a^2-b^2)+a*ln(a*cosh(x)+b*sinh(x))/(a^2-b^2),1],
[1/(a+b*tanh(x)),x,2,a*x/(a^2-b^2)-b*ln(a*cosh(x)+b*sinh(x))/(a^2-b^2),1],
[coth(x)/(a+b*tanh(x)),x,3,-b*x/(a^2-b^2)+ln(sinh(x))/a+b^2*ln(a*cosh(x)+b*sinh(x))/a/(a^2-b^2),1],
[coth(x)^2/(a+b*tanh(x)),x,4,a*x/(a^2-b^2)-coth(x)/a-b*ln(sinh(x))/a^2-b^3*ln(a*cosh(x)+b*sinh(x))/a^2/(a^2-b^2),1],
[coth(x)^3/(a+b*tanh(x)),x,5,-b*x/(a^2-b^2)+b*coth(x)/a^2-1/2*coth(x)^2/a+(a^2+b^2)*ln(sinh(x))/a^3+b^4*ln(a*cosh(x)+b*sinh(x))/a^3/(a^2-b^2),1],
[coth(x)^4/(a+b*tanh(x)),x,6,a*x/(a^2-b^2)-(a^2+b^2)*coth(x)/a^3+1/2*b*coth(x)^2/a^2-1/3*coth(x)^3/a-b*(a^2+b^2)*ln(sinh(x))/a^4-b^5*ln(a*cosh(x)+b*sinh(x))/a^4/(a^2-b^2),1],
[x*sech(x)^2/(a+b*tanh(x))^2,x,3,a*x/b/(a^2-b^2)-ln(a*cosh(x)+b*sinh(x))/(a^2-b^2)-x/b/(a+b*tanh(x)),1],
[x*sech(d*x+c)^2/(a+b*tanh(d*x+c)^2),x,9,1/2*x*ln(1+(a+b)*exp(2*d*x+2*c)/(a-2*sqrt(-a)*sqrt(b)-b))/sqrt(-a)/sqrt(b)/d-1/2*x*ln(1+(a+b)*exp(2*d*x+2*c)/(a+2*sqrt(-a)*sqrt(b)-b))/sqrt(-a)/sqrt(b)/d+1/4*polylog(2,-(a+b)*exp(2*d*x+2*c)/(a-2*sqrt(-a)*sqrt(b)-b))/sqrt(-a)/sqrt(b)/d^2-1/4*polylog(2,-(a+b)*exp(2*d*x+2*c)/(a+2*sqrt(-a)*sqrt(b)-b))/sqrt(-a)/sqrt(b)/d^2,1],
[x^2*sech(d*x+c)^2/(a+b*tanh(d*x+c)^2),x,11,1/2*x^2*ln(1+(a+b)*exp(2*d*x+2*c)/(a-2*sqrt(-a)*sqrt(b)-b))/sqrt(-a)/sqrt(b)/d-1/2*x^2*ln(1+(a+b)*exp(2*d*x+2*c)/(a+2*sqrt(-a)*sqrt(b)-b))/sqrt(-a)/sqrt(b)/d+1/2*x*polylog(2,-(a+b)*exp(2*d*x+2*c)/(a-2*sqrt(-a)*sqrt(b)-b))/sqrt(-a)/sqrt(b)/d^2-1/2*x*polylog(2,-(a+b)*exp(2*d*x+2*c)/(a+2*sqrt(-a)*sqrt(b)-b))/sqrt(-a)/sqrt(b)/d^2-1/4*polylog(3,-(a+b)*exp(2*d*x+2*c)/(a-2*sqrt(-a)*sqrt(b)-b))/sqrt(-a)/sqrt(b)/d^3+1/4*polylog(3,-(a+b)*exp(2*d*x+2*c)/(a+2*sqrt(-a)*sqrt(b)-b))/sqrt(-a)/sqrt(b)/d^3,1],
[x^5*tanh(a+2*ln(x)),x,5,-x^2/exp(2*a)+1/6*x^6+arctan(exp(a)*x^2)/exp(3*a),1],
[x^3*tanh(a+2*ln(x)),x,4,1/4*x^4-1/2*ln(1+exp(2*a)*x^4)/exp(2*a),1],
[x*tanh(a+2*ln(x)),x,4,1/2*x^2-arctan(exp(a)*x^2)/exp(a),1],
[tanh(a+2*ln(x))/x,x,2,1/2*ln(cosh(a+2*ln(x))),1],
[tanh(a+2*ln(x))/x^3,x,4,1/2/x^2+exp(a)*arctan(exp(a)*x^2),1],
[tanh(a+2*ln(x))/x^5,x,4,1/4/x^4+2*exp(2*a)*ln(x)-1/2*exp(2*a)*ln(1+exp(2*a)*x^4),1],
[x^2*tanh(a+2*ln(x)),x,11,1/3*x^3+arctan(1-sqrt(2)*exp(1/2*a)*x)/sqrt(2)/exp(3/2*a)-arctan(1+sqrt(2)*exp(1/2*a)*x)/sqrt(2)/exp(3/2*a)+arctanh(sqrt(2)*exp(1/2*a)*x/(1+exp(a)*x^2))/sqrt(2)/exp(3/2*a),1],
[tanh(a+2*ln(x)),x,10,x+arctan(1-sqrt(2)*exp(1/2*a)*x)/sqrt(2)/exp(1/2*a)-arctan(1+sqrt(2)*exp(1/2*a)*x)/sqrt(2)/exp(1/2*a)-arctanh(sqrt(2)*exp(1/2*a)*x/(1+exp(a)*x^2))/sqrt(2)/exp(1/2*a),1],
[tanh(a+2*ln(x))/x^2,x,10,1/x-exp(1/2*a)*arctan(1-sqrt(2)*exp(1/2*a)*x)/sqrt(2)+exp(1/2*a)*arctan(1+sqrt(2)*exp(1/2*a)*x)/sqrt(2)-exp(1/2*a)*arctanh(sqrt(2)*exp(1/2*a)*x/(1+exp(a)*x^2))/sqrt(2),1],
[tanh(a+2*ln(x))/x^4,x,10,1/3/x^3-exp(3/2*a)*arctan(1-sqrt(2)*exp(1/2*a)*x)/sqrt(2)+exp(3/2*a)*arctan(1+sqrt(2)*exp(1/2*a)*x)/sqrt(2)+exp(3/2*a)*arctanh(sqrt(2)*exp(1/2*a)*x/(1+exp(a)*x^2))/sqrt(2),1],
[x^5*tanh(a+2*ln(x))^2,x,6,-2*x^2/exp(2*a)+1/6*x^6-x^2/exp(2*a)/(1+exp(2*a)*x^4)+3*arctan(exp(a)*x^2)/exp(3*a),1],
[x^3*tanh(a+2*ln(x))^2,x,4,1/4*x^4-1/exp(2*a)/(1+exp(2*a)*x^4)-ln(1+exp(2*a)*x^4)/exp(2*a),1],
[x*tanh(a+2*ln(x))^2,x,5,1/2*x^2+x^2/(1+exp(2*a)*x^4)-arctan(exp(a)*x^2)/exp(a),1],
[tanh(a+2*ln(x))^2/x,x,3,ln(x)-1/2*tanh(a+2*ln(x)),1],
[tanh(a+2*ln(x))^2/x^3,x,6,-1/2/x^2-exp(2*a)*x^2/(1+exp(2*a)*x^4)-exp(a)*arctan(exp(a)*x^2),1],
[tanh(a+2*ln(x))^2/x^5,x,4,-1/4/x^4-exp(2*a)/(1+exp(2*a)*x^4)-4*exp(2*a)*ln(x)+exp(2*a)*ln(1+exp(2*a)*x^4),1],
[tanh(a+2*ln(x))^2/x^7,x,7,-1/6/x^6+2*exp(2*a)/x^2+exp(4*a)*x^2/(1+exp(2*a)*x^4)+3*exp(3*a)*arctan(exp(a)*x^2),1],
[tanh(a+2*ln(x))^2/x^9,x,4,-1/8/x^8+exp(2*a)/x^4+exp(4*a)/(1+exp(2*a)*x^4)+8*exp(4*a)*ln(x)-2*exp(4*a)*ln(1+exp(2*a)*x^4),1],
[x^4*tanh(a+2*ln(x))^2,x,12,-4*x/exp(2*a)+1/5*x^5-x/exp(2*a)/(1+exp(2*a)*x^4)-5/2*arctan(1-sqrt(2)*exp(1/2*a)*x)/sqrt(2)/exp(5/2*a)+5/2*arctan(1+sqrt(2)*exp(1/2*a)*x)/sqrt(2)/exp(5/2*a)+5/2*arctanh(sqrt(2)*exp(1/2*a)*x/(1+exp(a)*x^2))/sqrt(2)/exp(5/2*a),1],
[x^2*tanh(a+2*ln(x))^2,x,12,1/3*x^3+x^3/(1+exp(2*a)*x^4)+3/2*arctan(1-sqrt(2)*exp(1/2*a)*x)/sqrt(2)/exp(3/2*a)-3/2*arctan(1+sqrt(2)*exp(1/2*a)*x)/sqrt(2)/exp(3/2*a)+3/2*arctanh(sqrt(2)*exp(1/2*a)*x/(1+exp(a)*x^2))/sqrt(2)/exp(3/2*a),1],
[tanh(a+2*ln(x))^2,x,12,x+x/(1+exp(2*a)*x^4)+1/2*arctan(1-sqrt(2)*exp(1/2*a)*x)/sqrt(2)/exp(1/2*a)-1/2*arctan(1+sqrt(2)*exp(1/2*a)*x)/sqrt(2)/exp(1/2*a)-1/2*arctanh(sqrt(2)*exp(1/2*a)*x/(1+exp(a)*x^2))/sqrt(2)/exp(1/2*a),1],
[tanh(a+2*ln(x))^2/x^2,x,12,-1/x-exp(2*a)*x^3/(1+exp(2*a)*x^4)+1/2*exp(1/2*a)*arctan(1-sqrt(2)*exp(1/2*a)*x)/sqrt(2)-1/2*exp(1/2*a)*arctan(1+sqrt(2)*exp(1/2*a)*x)/sqrt(2)+1/2*exp(1/2*a)*arctanh(sqrt(2)*exp(1/2*a)*x/(1+exp(a)*x^2))/sqrt(2),1],
[tanh(a+2*ln(x))^2/x^4,x,12,-1/3/x^3-exp(2*a)*x/(1+exp(2*a)*x^4)+3/2*exp(3/2*a)*arctan(1-sqrt(2)*exp(1/2*a)*x)/sqrt(2)-3/2*exp(3/2*a)*arctan(1+sqrt(2)*exp(1/2*a)*x)/sqrt(2)-3/2*exp(3/2*a)*arctanh(sqrt(2)*exp(1/2*a)*x/(1+exp(a)*x^2))/sqrt(2),1],
[(e*x)^m*tanh(a+2*ln(x)),x,4,(e*x)^(1+m)/e/(1+m)-2*(e*x)^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],-exp(2*a)*x^4)/e/(1+m),1],
[(e*x)^m*tanh(a+2*ln(x))^2,x,5,(e*x)^(1+m)/e/(1+m)+(e*x)^(1+m)/e/(1+exp(2*a)*x^4)-(e*x)^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],-exp(2*a)*x^4)/e,1],
[(e*x)^m*tanh(a+2*ln(x))^3,x,6,(e*x)^(1+m)/e/(1+m)-(e*x)^(1+m)/e/(1+exp(2*a)*x^4)^2+1/4*(5+m)*(e*x)^(1+m)/e/(1+exp(2*a)*x^4)-1/4*(m^2+2*m+9)*(e*x)^(1+m)*hypergeom([1, 1/4+1/4*m],[5/4+1/4*m],-exp(2*a)*x^4)/e/(1+m),1],
[tanh(a+b*ln(x))^p,x,4,x*(-1+exp(2*a)*x^(2*b))^p*AppellF1(1/2/b,-p,p,1+1/2/b,exp(2*a)*x^(2*b),-exp(2*a)*x^(2*b))/((1-exp(2*a)*x^(2*b))^p),1],
[(e*x)^m*tanh(a+b*ln(x))^p,x,5,(e*x)^(1+m)*(-1+exp(2*a)*x^(2*b))^p*AppellF1(1/2*(1+m)/b,-p,p,1+1/2*(1+m)/b,exp(2*a)*x^(2*b),-exp(2*a)*x^(2*b))/e/(1+m)/((1-exp(2*a)*x^(2*b))^p),1],
[tanh(a+1/2*ln(x))^p,x,2,(-1+exp(2*a)*x)^(p+1)*hypergeom([p, p+1],[2+p],1/2-1/2*exp(2*a)*x)/(2^p)/exp(2*a)/(p+1),1],
[tanh(a+1/4*ln(x))^p,x,4,(-1+exp(2*a)*sqrt(x))^(p+1)*(1+exp(2*a)*sqrt(x))^(1-p)/exp(4*a)-2^(1-p)*p*(-1+exp(2*a)*sqrt(x))^(p+1)*hypergeom([p, p+1],[2+p],1/2-1/2*exp(2*a)*sqrt(x))/exp(4*a)/(p+1),1],
[tanh(a+1/6*ln(x))^p,x,5,-p*(-1+exp(2*a)*x^(1/3))^(p+1)*(1+exp(2*a)*x^(1/3))^(1-p)/exp(6*a)+(-1+exp(2*a)*x^(1/3))^(p+1)*(1+exp(2*a)*x^(1/3))^(1-p)*x^(1/3)/exp(4*a)+(2*p^2+1)*(-1+exp(2*a)*x^(1/3))^(p+1)*hypergeom([p, p+1],[2+p],1/2-1/2*exp(2*a)*x^(1/3))/(2^p)/exp(6*a)/(p+1),1],
[tanh(a+1/8*ln(x))^p,x,6,1/3*(2*p^2-2*p+3)*(-1+exp(2*a)*x^(1/4))^(p+1)*(1+exp(2*a)*x^(1/4))^(1-p)/exp(8*a)-2/3*p*(-1+exp(2*a)*x^(1/4))^(2+p)*(1+exp(2*a)*x^(1/4))^(1-p)/exp(8*a)+(-1+exp(2*a)*x^(1/4))^(p+1)*(1+exp(2*a)*x^(1/4))^(1-p)*sqrt(x)/exp(4*a)-1/3*2^(2-p)*p*(p^2+2)*(-1+exp(2*a)*x^(1/4))^(p+1)*hypergeom([p, p+1],[2+p],1/2-1/2*exp(2*a)*x^(1/4))/exp(8*a)/(p+1),1],
[tanh(a+ln(x))^p,x,4,x*(-1+exp(2*a)*x^2)^p*AppellF1(1/2,-p,p,3/2,exp(2*a)*x^2,-exp(2*a)*x^2)/((1-exp(2*a)*x^2)^p),1],
[tanh(a+2*ln(x))^p,x,4,x*(-1+exp(2*a)*x^4)^p*AppellF1(1/4,-p,p,5/4,exp(2*a)*x^4,-exp(2*a)*x^4)/((1-exp(2*a)*x^4)^p),1],
[tanh(a+3*ln(x))^p,x,4,x*(-1+exp(2*a)*x^6)^p*AppellF1(1/6,-p,p,7/6,exp(2*a)*x^6,-exp(2*a)*x^6)/((1-exp(2*a)*x^6)^p),1],
[x^3*tanh(d*(a+b*ln(c*x^n))),x,4,1/4*x^4-1/2*x^4*hypergeom([1, 2/b/d/n],[1+2/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d)),1],
[x^2*tanh(d*(a+b*ln(c*x^n))),x,4,1/3*x^3-2/3*x^3*hypergeom([1, 3/2/b/d/n],[1+3/2/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d)),1],
[x*tanh(d*(a+b*ln(c*x^n))),x,4,1/2*x^2-x^2*hypergeom([1, 1/b/d/n],[1+1/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d)),1],
[tanh(d*(a+b*ln(c*x^n))),x,4,x-2*x*hypergeom([1, 1/2/b/d/n],[1+1/2/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d)),1],
[tanh(d*(a+b*ln(c*x^n)))/x,x,2,ln(cosh(a*d+b*d*ln(c*x^n)))/b/d/n,1],
[tanh(d*(a+b*ln(c*x^n)))/x^2,x,4,-1/x+2*hypergeom([1, -1/2/b/d/n],[1-1/2/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/x,1],
[tanh(d*(a+b*ln(c*x^n)))/x^3,x,4,-1/2/x^2+hypergeom([1, -1/b/d/n],[1-1/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/x^2,1],
[x^3*tanh(d*(a+b*ln(c*x^n)))^2,x,5,1/4*(1+4/b/d/n)*x^4+x^4*(1-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n/(1+exp(2*a*d)*(c*x^n)^(2*b*d))-2*x^4*hypergeom([1, 2/b/d/n],[1+2/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n,1],
[x^2*tanh(d*(a+b*ln(c*x^n)))^2,x,5,1/3*(1+3/b/d/n)*x^3+x^3*(1-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n/(1+exp(2*a*d)*(c*x^n)^(2*b*d))-2*x^3*hypergeom([1, 3/2/b/d/n],[1+3/2/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n,1],
[x*tanh(d*(a+b*ln(c*x^n)))^2,x,5,1/2*(1+2/b/d/n)*x^2+x^2*(1-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n/(1+exp(2*a*d)*(c*x^n)^(2*b*d))-2*x^2*hypergeom([1, 1/b/d/n],[1+1/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n,1],
[tanh(d*(a+b*ln(c*x^n)))^2,x,5,(1+1/b/d/n)*x+x*(1-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n/(1+exp(2*a*d)*(c*x^n)^(2*b*d))-2*x*hypergeom([1, 1/2/b/d/n],[1+1/2/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n,1],
[tanh(d*(a+b*ln(c*x^n)))^2/x,x,3,ln(x)-tanh(a*d+b*d*ln(c*x^n))/b/d/n,1],
[tanh(d*(a+b*ln(c*x^n)))^2/x^2,x,5,-(1-1/b/d/n)/x+(1-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n/x/(1+exp(2*a*d)*(c*x^n)^(2*b*d))-2*hypergeom([1, -1/2/b/d/n],[1-1/2/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n/x,1],
[tanh(d*(a+b*ln(c*x^n)))^2/x^3,x,5,1/2*(-b*d*n+2)/b/d/n/x^2+(1-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n/x^2/(1+exp(2*a*d)*(c*x^n)^(2*b*d))-2*hypergeom([1, -1/b/d/n],[1-1/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/n/x^2,1],
[tanh(a+b*ln(c*x^n))^3/x,x,3,ln(cosh(a+b*ln(c*x^n)))/b/n-1/2*tanh(a+b*ln(c*x^n))^2/b/n,1],
[tanh(a+b*ln(c*x^n))^4/x,x,4,ln(x)-tanh(a+b*ln(c*x^n))/b/n-1/3*tanh(a+b*ln(c*x^n))^3/b/n,1],
[tanh(a+b*ln(c*x^n))^5/x,x,4,ln(cosh(a+b*ln(c*x^n)))/b/n-1/2*tanh(a+b*ln(c*x^n))^2/b/n-1/4*tanh(a+b*ln(c*x^n))^4/b/n,1],
[(e*x)^m*tanh(d*(a+b*ln(c*x^n))),x,4,(e*x)^(1+m)/e/(1+m)-2*(e*x)^(1+m)*hypergeom([1, 1/2*(1+m)/b/d/n],[1+1/2*(1+m)/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/e/(1+m),1],
[(e*x)^m*tanh(d*(a+b*ln(c*x^n)))^2,x,5,(b*d*n+m+1)*(e*x)^(1+m)/b/d/e/(1+m)/n+(e*x)^(1+m)*(1-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/e/n/(1+exp(2*a*d)*(c*x^n)^(2*b*d))-2*(e*x)^(1+m)*hypergeom([1, 1/2*(1+m)/b/d/n],[1+1/2*(1+m)/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/b/d/e/n,1],
[(e*x)^m*tanh(d*(a+b*ln(c*x^n)))^3,x,6,1/2*(b*d*n+m+1)*(2*b*d*n+m+1)*(e*x)^(1+m)/b^2/d^2/e/(1+m)/n^2-1/2*(e*x)^(1+m)*(1-exp(2*a*d)*(c*x^n)^(2*b*d))^2/b/d/e/n/(1+exp(2*a*d)*(c*x^n)^(2*b*d))^2+1/2*(e*x)^(1+m)*(exp(2*a*d)*(-2*b*d*n+m+1)/n-exp(4*a*d)*(2*b*d*n+m+1)*(c*x^n)^(2*b*d)/n)/b^2/d^2/e/exp(2*a*d)/n/(1+exp(2*a*d)*(c*x^n)^(2*b*d))-(2*b^2*d^2*n^2+m^2+2*m+1)*(e*x)^(1+m)*hypergeom([1, 1/2*(1+m)/b/d/n],[1+1/2*(1+m)/b/d/n],-exp(2*a*d)*(c*x^n)^(2*b*d))/b^2/d^2/e/(1+m)/n^2,1],
[tanh(d*(a+b*ln(c*x^n)))^p,x,5,x*(-1+exp(2*a*d)*(c*x^n)^(2*b*d))^p*AppellF1(1/2/b/d/n,-p,p,1+1/2/b/d/n,exp(2*a*d)*(c*x^n)^(2*b*d),-exp(2*a*d)*(c*x^n)^(2*b*d))/((1-exp(2*a*d)*(c*x^n)^(2*b*d))^p),1],
[(e*x)^m*tanh(d*(a+b*ln(c*x^n)))^p,x,5,(e*x)^(1+m)*(-1+exp(2*a*d)*(c*x^n)^(2*b*d))^p*AppellF1(1/2*(1+m)/b/d/n,-p,p,1+1/2*(1+m)/b/d/n,exp(2*a*d)*(c*x^n)^(2*b*d),-exp(2*a*d)*(c*x^n)^(2*b*d))/e/(1+m)/((1-exp(2*a*d)*(c*x^n)^(2*b*d))^p),1],
[tanh(a+b*ln(c*x^n))^(5/2)/x,x,7,-arctan(sqrt(tanh(a+b*ln(c*x^n))))/b/n+arctanh(sqrt(tanh(a+b*ln(c*x^n))))/b/n-2/3*tanh(a+b*ln(c*x^n))^(3/2)/b/n,1],
[tanh(a+b*ln(c*x^n))^(3/2)/x,x,7,arctan(sqrt(tanh(a+b*ln(c*x^n))))/b/n+arctanh(sqrt(tanh(a+b*ln(c*x^n))))/b/n-2*sqrt(tanh(a+b*ln(c*x^n)))/b/n,1],
[sqrt(tanh(a+b*ln(c*x^n)))/x,x,6,-arctan(sqrt(tanh(a+b*ln(c*x^n))))/b/n+arctanh(sqrt(tanh(a+b*ln(c*x^n))))/b/n,1],
[1/x/sqrt(tanh(a+b*ln(c*x^n))),x,6,arctan(sqrt(tanh(a+b*ln(c*x^n))))/b/n+arctanh(sqrt(tanh(a+b*ln(c*x^n))))/b/n,1],
[1/x/tanh(a+b*ln(c*x^n))^(3/2),x,7,-arctan(sqrt(tanh(a+b*ln(c*x^n))))/b/n+arctanh(sqrt(tanh(a+b*ln(c*x^n))))/b/n-2/b/n/sqrt(tanh(a+b*ln(c*x^n))),1],
[1/x/tanh(a+b*ln(c*x^n))^(5/2),x,7,arctan(sqrt(tanh(a+b*ln(c*x^n))))/b/n+arctanh(sqrt(tanh(a+b*ln(c*x^n))))/b/n-2/3/b/n/tanh(a+b*ln(c*x^n))^(3/2),1],
[tanh(x)^5/sqrt(a+b*tanh(x)^2+c*tanh(x)^4),x,8,1/4*(b-2*c)*arctanh(1/2*(b+2*c*tanh(x)^2)/sqrt(c)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))/c^(3/2)+1/2*arctanh(1/2*(2*a+b+(b+2*c)*tanh(x)^2)/sqrt(a+b+c)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))/sqrt(a+b+c)-1/2*sqrt(a+b*tanh(x)^2+c*tanh(x)^4)/c,1],
[tanh(x)^3/sqrt(a+b*tanh(x)^2+c*tanh(x)^4),x,7,-1/2*arctanh(1/2*(b+2*c*tanh(x)^2)/sqrt(c)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))/sqrt(c)+1/2*arctanh(1/2*(2*a+b+(b+2*c)*tanh(x)^2)/sqrt(a+b+c)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))/sqrt(a+b+c),1],
[tanh(x)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4),x,4,1/2*arctanh(1/2*(2*a+b+(b+2*c)*tanh(x)^2)/sqrt(a+b+c)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))/sqrt(a+b+c),1],
[coth(x)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4),x,8,-1/2*arctanh(1/2*(2*a+b*tanh(x)^2)/sqrt(a)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))/sqrt(a)+1/2*arctanh(1/2*(2*a+b+(b+2*c)*tanh(x)^2)/sqrt(a+b+c)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))/sqrt(a+b+c),1],
[coth(x)^3/sqrt(a+b*tanh(x)^2+c*tanh(x)^4),x,8,-1/4*(2*a-b)*arctanh(1/2*(2*a+b*tanh(x)^2)/sqrt(a)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))/a^(3/2)+1/2*arctanh(1/2*(2*a+b+(b+2*c)*tanh(x)^2)/sqrt(a+b+c)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))/sqrt(a+b+c)-1/2*coth(x)^2*sqrt(a+b*tanh(x)^2+c*tanh(x)^4)/a,1],
[tanh(x)*sqrt(a+b*tanh(x)^2+c*tanh(x)^4),x,8,-1/4*(b+2*c)*arctanh(1/2*(b+2*c*tanh(x)^2)/sqrt(c)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))/sqrt(c)+1/2*sqrt(a+b+c)*arctanh(1/2*(2*a+b+(b+2*c)*tanh(x)^2)/sqrt(a+b+c)/sqrt(a+b*tanh(x)^2+c*tanh(x)^4))-1/2*sqrt(a+b*tanh(x)^2+c*tanh(x)^4),1],
[exp(b*x+a)*tanh(b*x+a)^4,x,7,exp(b*x+a)/b+8/3*exp(b*x+a)/b/(1+exp(2*b*x+2*a))^3-14/3*exp(b*x+a)/b/(1+exp(2*b*x+2*a))^2+5*exp(b*x+a)/b/(1+exp(2*b*x+2*a))-3*arctan(exp(b*x+a))/b,1],
[exp(b*x+a)*tanh(b*x+a)^3,x,6,exp(b*x+a)/b-2*exp(b*x+a)/b/(1+exp(2*b*x+2*a))^2+3*exp(b*x+a)/b/(1+exp(2*b*x+2*a))-3*arctan(exp(b*x+a))/b,1],
[exp(b*x+a)*tanh(b*x+a)^2,x,4,exp(b*x+a)/b+2*exp(b*x+a)/b/(1+exp(2*b*x+2*a))-2*arctan(exp(b*x+a))/b,1],
[exp(b*x+a)*tanh(b*x+a),x,3,exp(b*x+a)/b-2*arctan(exp(b*x+a))/b,1],
[exp(b*x+a)*coth(b*x+a),x,3,exp(b*x+a)/b-2*arctanh(exp(b*x+a))/b,1],
[exp(b*x+a)*coth(b*x+a)^2,x,4,exp(b*x+a)/b+2*exp(b*x+a)/b/(1-exp(2*b*x+2*a))-2*arctanh(exp(b*x+a))/b,1],
[exp(b*x+a)*coth(b*x+a)^3,x,6,exp(b*x+a)/b-2*exp(b*x+a)/b/(1-exp(2*b*x+2*a))^2+3*exp(b*x+a)/b/(1-exp(2*b*x+2*a))-3*arctanh(exp(b*x+a))/b,1],
[exp(b*x+a)*coth(b*x+a)^4,x,7,exp(b*x+a)/b+8/3*exp(b*x+a)/b/(1-exp(2*b*x+2*a))^3-14/3*exp(b*x+a)/b/(1-exp(2*b*x+2*a))^2+5*exp(b*x+a)/b/(1-exp(2*b*x+2*a))-3*arctanh(exp(b*x+a))/b,1],
[exp(x)*tanh(2*x)^2,x,12,exp(x)+exp(x)/(1+exp(4*x))+1/2*arctan(1-sqrt(2)*exp(x))/sqrt(2)-1/2*arctan(1+sqrt(2)*exp(x))/sqrt(2)-1/2*arctanh(sqrt(2)*exp(x)/(1+exp(2*x)))/sqrt(2),1],
[exp(x)*tanh(2*x),x,10,exp(x)+arctan(1-sqrt(2)*exp(x))/sqrt(2)-arctan(1+sqrt(2)*exp(x))/sqrt(2)-arctanh(sqrt(2)*exp(x)/(1+exp(2*x)))/sqrt(2),1],
[exp(x)*coth(2*x),x,5,exp(x)-arctan(exp(x))-arctanh(exp(x)),1],
[exp(x)*coth(2*x)^2,x,7,exp(x)+exp(x)/(1-exp(4*x))-1/2*arctan(exp(x))-1/2*arctanh(exp(x)),1],
[exp(x)*coth(2*x)^4,x,9,exp(x)+4/3*exp(x)/(1-exp(4*x))^3-13/6*exp(x)/(1-exp(4*x))^2+53*exp(x)/(24-24*exp(4*x))-11/16*arctan(exp(x))-11/16*arctanh(exp(x)),1],
[exp(x)*tanh(3*x)^2,x,13,exp(x)+2*exp(x)/(3+3*exp(6*x))-2/9*arctan(exp(x))+1/9*arctan(sqrt(3)-2*exp(x))-1/9*arctan(sqrt(3)+2*exp(x))-1/3*arctanh(sqrt(3)*exp(x)/(1+exp(2*x)))/sqrt(3),1],
[exp(x)*tanh(3*x),x,12,exp(x)-2/3*arctan(exp(x))+1/3*arctan(sqrt(3)-2*exp(x))-1/3*arctan(sqrt(3)+2*exp(x))-arctanh(sqrt(3)*exp(x)/(1+exp(2*x)))/sqrt(3),1],
[exp(x)*coth(3*x),x,12,exp(x)+arctan((1-2*exp(x))/sqrt(3))/sqrt(3)-arctan((1+2*exp(x))/sqrt(3))/sqrt(3)-2/3*arctanh(exp(x))-1/3*arctanh(exp(x)/(1+exp(2*x))),1],
[exp(x)*coth(3*x)^2,x,13,exp(x)+2*exp(x)/(3-3*exp(6*x))+1/3*arctan((1-2*exp(x))/sqrt(3))/sqrt(3)-1/3*arctan((1+2*exp(x))/sqrt(3))/sqrt(3)-2/9*arctanh(exp(x))-1/9*arctanh(exp(x)/(1+exp(2*x))),1],
[exp(x)*tanh(4*x)^2,x,20,exp(x)+exp(x)/(2+2*exp(8*x))+1/16*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))-2*exp(x))/sqrt(2+sqrt(2)))+1/16*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))-2*exp(x))/sqrt(2-sqrt(2)))-1/16*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))+2*exp(x))/sqrt(2+sqrt(2)))-1/16*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))+2*exp(x))/sqrt(2-sqrt(2)))-1/16*sqrt(2-sqrt(2))*arctanh(sqrt(2-sqrt(2))*exp(x)/(1+exp(2*x)))-1/16*sqrt(2+sqrt(2))*arctanh(sqrt(2+sqrt(2))*exp(x)/(1+exp(2*x))),1],
[exp(x)*tanh(4*x),x,19,exp(x)+1/4*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))-2*exp(x))/sqrt(2+sqrt(2)))+1/4*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))-2*exp(x))/sqrt(2-sqrt(2)))-1/4*sqrt(2+sqrt(2))*arctan((sqrt(2-sqrt(2))+2*exp(x))/sqrt(2+sqrt(2)))-1/4*sqrt(2-sqrt(2))*arctan((sqrt(2+sqrt(2))+2*exp(x))/sqrt(2-sqrt(2)))-1/4*sqrt(2-sqrt(2))*arctanh(sqrt(2-sqrt(2))*exp(x)/(1+exp(2*x)))-1/4*sqrt(2+sqrt(2))*arctanh(sqrt(2+sqrt(2))*exp(x)/(1+exp(2*x))),1],
[exp(x)*coth(4*x),x,14,exp(x)-1/2*arctan(exp(x))+1/2*arctan(1-sqrt(2)*exp(x))/sqrt(2)-1/2*arctan(1+sqrt(2)*exp(x))/sqrt(2)-1/2*arctanh(exp(x))-1/2*arctanh(sqrt(2)*exp(x)/(1+exp(2*x)))/sqrt(2),1],
[exp(x)*coth(4*x)^2,x,15,exp(x)+exp(x)/(2-2*exp(8*x))-1/8*arctan(exp(x))+1/8*arctan(1-sqrt(2)*exp(x))/sqrt(2)-1/8*arctan(1+sqrt(2)*exp(x))/sqrt(2)-1/8*arctanh(exp(x))-1/8*arctanh(sqrt(2)*exp(x)/(1+exp(2*x)))/sqrt(2),1],
[exp(x)/(a-tanh(2*x)),x,5,-exp(x)/(1-a)+arctan((1-a)^(1/4)*exp(x)/(1+a)^(1/4))/(1-a)/sqrt(1+a)/(-a^2+1)^(1/4)+arctanh((1-a)^(1/4)*exp(x)/(1+a)^(1/4))/(1-a)/sqrt(1+a)/(-a^2+1)^(1/4),1],
[exp(x)/(a-tanh(2*x))^2,x,6,exp(x)/(1-a)^2+exp(x)/(1-a)^2/(1+a)/(1+a-(1-a)*exp(4*x))-1/2*(1+4*a)*arctan((1-a)^(1/4)*exp(x)/(1+a)^(1/4))/(1-a)^2/(1+a)^(3/2)/(-a^2+1)^(1/4)-1/2*(1+4*a)*arctanh((1-a)^(1/4)*exp(x)/(1+a)^(1/4))/(1-a)^2/(1+a)^(3/2)/(-a^2+1)^(1/4),1],
[exp(c*(b*x+a))*tanh(e*x+d)^3,x,6,exp(c*(b*x+a))/b/c-6*exp(c*(b*x+a))*hypergeom([1, 1/2*b*c/e],[1+1/2*b*c/e],-exp(2*e*x+2*d))/b/c+12*exp(c*(b*x+a))*hypergeom([2, 1/2*b*c/e],[1+1/2*b*c/e],-exp(2*e*x+2*d))/b/c-8*exp(c*(b*x+a))*hypergeom([3, 1/2*b*c/e],[1+1/2*b*c/e],-exp(2*e*x+2*d))/b/c,1],
[exp(c*(b*x+a))*tanh(e*x+d)^2,x,5,exp(c*(b*x+a))/b/c-4*exp(c*(b*x+a))*hypergeom([1, 1/2*b*c/e],[1+1/2*b*c/e],-exp(2*e*x+2*d))/b/c+4*exp(c*(b*x+a))*hypergeom([2, 1/2*b*c/e],[1+1/2*b*c/e],-exp(2*e*x+2*d))/b/c,1],
[exp(c*(b*x+a))*tanh(e*x+d),x,4,exp(c*(b*x+a))/b/c-2*exp(c*(b*x+a))*hypergeom([1, 1/2*b*c/e],[1+1/2*b*c/e],-exp(2*e*x+2*d))/b/c,1],
[exp(c*(b*x+a))*coth(e*x+d),x,4,exp(c*(b*x+a))/b/c-2*exp(c*(b*x+a))*hypergeom([1, 1/2*b*c/e],[1+1/2*b*c/e],exp(2*e*x+2*d))/b/c,1],
[exp(c*(b*x+a))*coth(e*x+d)^2,x,5,exp(c*(b*x+a))/b/c-4*exp(c*(b*x+a))*hypergeom([1, 1/2*b*c/e],[1+1/2*b*c/e],exp(2*e*x+2*d))/b/c+4*exp(c*(b*x+a))*hypergeom([2, 1/2*b*c/e],[1+1/2*b*c/e],exp(2*e*x+2*d))/b/c,1],
[exp(c*(b*x+a))*coth(e*x+d)^3,x,6,exp(c*(b*x+a))/b/c-6*exp(c*(b*x+a))*hypergeom([1, 1/2*b*c/e],[1+1/2*b*c/e],exp(2*e*x+2*d))/b/c+12*exp(c*(b*x+a))*hypergeom([2, 1/2*b*c/e],[1+1/2*b*c/e],exp(2*e*x+2*d))/b/c-8*exp(c*(b*x+a))*hypergeom([3, 1/2*b*c/e],[1+1/2*b*c/e],exp(2*e*x+2*d))/b/c,1],
[exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(5/2),x,9,exp(c*(b*x+a))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c-4*exp(c*(b*x+a))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c/(1+exp(2*c*(b*x+a)))^4+26/3*exp(c*(b*x+a))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c/(1+exp(2*c*(b*x+a)))^3-55/6*exp(c*(b*x+a))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c/(1+exp(2*c*(b*x+a)))^2+25/4*exp(c*(b*x+a))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c/(1+exp(2*c*(b*x+a)))-15/4*arctan(exp(c*(b*x+a)))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c,1],
[exp(c*(b*x+a))*(tanh(b*c*x+a*c)^2)^(3/2),x,7,exp(c*(b*x+a))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c-2*exp(c*(b*x+a))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c/(1+exp(2*c*(b*x+a)))^2+3*exp(c*(b*x+a))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c/(1+exp(2*c*(b*x+a)))-3*arctan(exp(c*(b*x+a)))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c,1],
[exp(c*(b*x+a))*sqrt(tanh(b*c*x+a*c)^2),x,4,exp(c*(b*x+a))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c-2*arctan(exp(c*(b*x+a)))*coth(b*c*x+a*c)*sqrt(tanh(b*c*x+a*c)^2)/b/c,1],
[exp(c*(b*x+a))/sqrt(tanh(b*c*x+a*c)^2),x,4,exp(c*(b*x+a))*tanh(b*c*x+a*c)/b/c/sqrt(tanh(b*c*x+a*c)^2)-2*arctanh(exp(c*(b*x+a)))*tanh(b*c*x+a*c)/b/c/sqrt(tanh(b*c*x+a*c)^2),1],
[exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(3/2),x,7,exp(c*(b*x+a))*tanh(b*c*x+a*c)/b/c/sqrt(tanh(b*c*x+a*c)^2)-2*exp(c*(b*x+a))*tanh(b*c*x+a*c)/b/c/(1-exp(2*c*(b*x+a)))^2/sqrt(tanh(b*c*x+a*c)^2)+3*exp(c*(b*x+a))*tanh(b*c*x+a*c)/b/c/(1-exp(2*c*(b*x+a)))/sqrt(tanh(b*c*x+a*c)^2)-3*arctanh(exp(c*(b*x+a)))*tanh(b*c*x+a*c)/b/c/sqrt(tanh(b*c*x+a*c)^2),1],
[exp(c*(b*x+a))/(tanh(b*c*x+a*c)^2)^(5/2),x,9,exp(c*(b*x+a))*tanh(b*c*x+a*c)/b/c/sqrt(tanh(b*c*x+a*c)^2)-4*exp(c*(b*x+a))*tanh(b*c*x+a*c)/b/c/(1-exp(2*c*(b*x+a)))^4/sqrt(tanh(b*c*x+a*c)^2)+26/3*exp(c*(b*x+a))*tanh(b*c*x+a*c)/b/c/(1-exp(2*c*(b*x+a)))^3/sqrt(tanh(b*c*x+a*c)^2)-55/6*exp(c*(b*x+a))*tanh(b*c*x+a*c)/b/c/(1-exp(2*c*(b*x+a)))^2/sqrt(tanh(b*c*x+a*c)^2)+25/4*exp(c*(b*x+a))*tanh(b*c*x+a*c)/b/c/(1-exp(2*c*(b*x+a)))/sqrt(tanh(b*c*x+a*c)^2)-15/4*arctanh(exp(c*(b*x+a)))*tanh(b*c*x+a*c)/b/c/sqrt(tanh(b*c*x+a*c)^2),1],
[sin(tanh(b*x+a))^3,x,19,-3/8*Ci(1-tanh(b*x+a))*sin(1)/b-3/8*Ci(1+tanh(b*x+a))*sin(1)/b+1/8*Ci(3-3*tanh(b*x+a))*sin(3)/b+1/8*Ci(3+3*tanh(b*x+a))*sin(3)/b-1/8*cos(3)*Si(3-3*tanh(b*x+a))/b+3/8*cos(1)*Si(1-tanh(b*x+a))/b+3/8*cos(1)*Si(1+tanh(b*x+a))/b-1/8*cos(3)*Si(3+3*tanh(b*x+a))/b,1],
[sin(tanh(b*x+a))^2,x,13,1/4*cos(2)*Ci(2-2*tanh(b*x+a))/b-1/4*cos(2)*Ci(2+2*tanh(b*x+a))/b-1/4*ln(1-tanh(b*x+a))/b+1/4*ln(1+tanh(b*x+a))/b+1/4*sin(2)*Si(2-2*tanh(b*x+a))/b-1/4*sin(2)*Si(2+2*tanh(b*x+a))/b,1],
[sin(tanh(b*x+a)),x,9,-1/2*Ci(1-tanh(b*x+a))*sin(1)/b-1/2*Ci(1+tanh(b*x+a))*sin(1)/b+1/2*cos(1)*Si(1-tanh(b*x+a))/b+1/2*cos(1)*Si(1+tanh(b*x+a))/b,1],
[csc(tanh(b*x+a)),x,3,-1/2*Defer(Int)(-csc(tanh(b*x+a))*sech(b*x+a)^2/(1-tanh(b*x+a)),x)+1/2*Defer(Int)(csc(tanh(b*x+a))*sech(b*x+a)^2/(1+tanh(b*x+a)),x),0],
[cos(tanh(b*x+a))^3,x,19,-1/8*cos(3)*Ci(3-3*tanh(b*x+a))/b-3/8*cos(1)*Ci(1-tanh(b*x+a))/b+3/8*cos(1)*Ci(1+tanh(b*x+a))/b+1/8*cos(3)*Ci(3+3*tanh(b*x+a))/b-1/8*sin(3)*Si(3-3*tanh(b*x+a))/b-3/8*sin(1)*Si(1-tanh(b*x+a))/b+3/8*sin(1)*Si(1+tanh(b*x+a))/b+1/8*sin(3)*Si(3+3*tanh(b*x+a))/b,1],
[cos(tanh(b*x+a))^2,x,13,-1/4*cos(2)*Ci(2-2*tanh(b*x+a))/b+1/4*cos(2)*Ci(2+2*tanh(b*x+a))/b-1/4*ln(1-tanh(b*x+a))/b+1/4*ln(1+tanh(b*x+a))/b-1/4*sin(2)*Si(2-2*tanh(b*x+a))/b+1/4*sin(2)*Si(2+2*tanh(b*x+a))/b,1],
[cos(tanh(b*x+a)),x,9,-1/2*cos(1)*Ci(1-tanh(b*x+a))/b+1/2*cos(1)*Ci(1+tanh(b*x+a))/b-1/2*sin(1)*Si(1-tanh(b*x+a))/b+1/2*sin(1)*Si(1+tanh(b*x+a))/b,1],
[sec(tanh(b*x+a)),x,3,-1/2*Defer(Int)(-sec(tanh(b*x+a))*sech(b*x+a)^2/(1-tanh(b*x+a)),x)+1/2*Defer(Int)(sec(tanh(b*x+a))*sech(b*x+a)^2/(1+tanh(b*x+a)),x),0]]: