lst:=[[cos(d*x+c)^7*(A+C*cos(d*x+c)^2),x,3,(A+C)*sin(d*x+c)/d-1/3*(3*A+4*C)*sin(d*x+c)^3/d+3/5*(A+2*C)*sin(d*x+c)^5/d-1/7*(A+4*C)*sin(d*x+c)^7/d+1/9*C*sin(d*x+c)^9/d,1],
[cos(d*x+c)^5*(A+C*cos(d*x+c)^2),x,3,(A+C)*sin(d*x+c)/d-1/3*(2*A+3*C)*sin(d*x+c)^3/d+1/5*(A+3*C)*sin(d*x+c)^5/d-1/7*C*sin(d*x+c)^7/d,1],
[cos(d*x+c)^3*(A+C*cos(d*x+c)^2),x,3,(A+C)*sin(d*x+c)/d-1/3*(A+2*C)*sin(d*x+c)^3/d+1/5*C*sin(d*x+c)^5/d,1],
[cos(d*x+c)*(A+C*cos(d*x+c)^2),x,2,(A+C)*sin(d*x+c)/d-1/3*C*sin(d*x+c)^3/d,1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c),x,2,A*arctanh(sin(d*x+c))/d+C*sin(d*x+c)/d,1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,2,1/2*(A+2*C)*arctanh(sin(d*x+c))/d+1/2*A*sec(d*x+c)*tan(d*x+c)/d,1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^5,x,3,1/8*(3*A+4*C)*arctanh(sin(d*x+c))/d+1/8*(3*A+4*C)*sec(d*x+c)*tan(d*x+c)/d+1/4*A*sec(d*x+c)^3*tan(d*x+c)/d,1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^7,x,4,1/16*(5*A+6*C)*arctanh(sin(d*x+c))/d+1/16*(5*A+6*C)*sec(d*x+c)*tan(d*x+c)/d+1/24*(5*A+6*C)*sec(d*x+c)^3*tan(d*x+c)/d+1/6*A*sec(d*x+c)^5*tan(d*x+c)/d,1],
[cos(d*x+c)^6*(A+C*cos(d*x+c)^2),x,5,5/128*(8*A+7*C)*x+5/128*(8*A+7*C)*cos(d*x+c)*sin(d*x+c)/d+5/192*(8*A+7*C)*cos(d*x+c)^3*sin(d*x+c)/d+1/48*(8*A+7*C)*cos(d*x+c)^5*sin(d*x+c)/d+1/8*C*cos(d*x+c)^7*sin(d*x+c)/d,1],
[cos(d*x+c)^4*(A+C*cos(d*x+c)^2),x,4,1/16*(6*A+5*C)*x+1/16*(6*A+5*C)*cos(d*x+c)*sin(d*x+c)/d+1/24*(6*A+5*C)*cos(d*x+c)^3*sin(d*x+c)/d+1/6*C*cos(d*x+c)^5*sin(d*x+c)/d,1],
[cos(d*x+c)^2*(A+C*cos(d*x+c)^2),x,3,1/8*(4*A+3*C)*x+1/8*(4*A+3*C)*cos(d*x+c)*sin(d*x+c)/d+1/4*C*cos(d*x+c)^3*sin(d*x+c)/d,1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,2,C*x+A*tan(d*x+c)/d,1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,3,1/3*(2*A+3*C)*tan(d*x+c)/d+1/3*A*sec(d*x+c)^2*tan(d*x+c)/d,1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^6,x,3,1/5*(4*A+5*C)*tan(d*x+c)/d+1/5*A*sec(d*x+c)^4*tan(d*x+c)/d+1/15*(4*A+5*C)*tan(d*x+c)^3/d,1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^8,x,3,1/7*(6*A+7*C)*tan(d*x+c)/d+1/7*A*sec(d*x+c)^6*tan(d*x+c)/d+2/21*(6*A+7*C)*tan(d*x+c)^3/d+1/35*(6*A+7*C)*tan(d*x+c)^5/d,1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2),x,4,2/15*b^2*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/45*b*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b/d,1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2),x,4,2/21*b^2*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/21*b*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b/d,1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2),x,3,2/5*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b/d,1],
[(A+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,3,2/3*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/b/d,1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,3,-2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2*A*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,3,2/3*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/3*A*sin(d*x+c)/b/d/(b*cos(d*x+c))^(3/2),1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(7/2),x,4,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^4/d/sqrt(cos(d*x+c))+2/5*A*sin(d*x+c)/b/d/(b*cos(d*x+c))^(5/2)+2/5*(3*A+5*C)*sin(d*x+c)/b^3/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(9/2),x,4,2/21*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^4/d/sqrt(b*cos(d*x+c))+2/7*A*sin(d*x+c)/b/d/(b*cos(d*x+c))^(7/2)+2/21*(5*A+7*C)*sin(d*x+c)/b^3/d/(b*cos(d*x+c))^(3/2),1],
[sqrt(cos(d*x+c))*(3-5*cos(d*x+c)^2),x,1,-2*cos(d*x+c)^(3/2)*sin(d*x+c)/d,1],
[(1-3*cos(d*x+c)^2)/sqrt(cos(d*x+c)),x,1,-2*sqrt(cos(d*x+c))*sin(d*x+c)/d,1],
[(A+C*cos(d*x+c)^2)*(b*sec(d*x+c))^(9/2),x,5,2/21*b^4*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))*sqrt(b*sec(d*x+c))/d+2/21*b^3*(5*A+7*C)*(b*sec(d*x+c))^(3/2)*sin(d*x+c)/d+2/7*A*b^2*(b*sec(d*x+c))^(5/2)*tan(d*x+c)/d,1],
[(A+C*cos(d*x+c)^2)*(b*sec(d*x+c))^(7/2),x,5,-2/5*b^4*(3*A+5*C)*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))/sqrt(b*sec(d*x+c))+2/5*b^3*(3*A+5*C)*sqrt(b*sec(d*x+c))*sin(d*x+c)/d+2/5*A*b^2*(b*sec(d*x+c))^(3/2)*tan(d*x+c)/d,1],
[(A+C*cos(d*x+c)^2)*(b*sec(d*x+c))^(5/2),x,4,2/3*b^2*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))*sqrt(b*sec(d*x+c))/d+2/3*A*b^2*sqrt(b*sec(d*x+c))*tan(d*x+c)/d,1],
[(A+C*cos(d*x+c)^2)*(b*sec(d*x+c))^(3/2),x,4,-2*b^2*(A-C)*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))/sqrt(b*sec(d*x+c))+2*A*b^2*tan(d*x+c)/d/sqrt(b*sec(d*x+c)),1],
[(A+C*cos(d*x+c)^2)*sqrt(b*sec(d*x+c)),x,4,2/3*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))*sqrt(b*sec(d*x+c))/d+2/3*b^2*C*tan(d*x+c)/d/(b*sec(d*x+c))^(3/2),1],
[(A+C*cos(d*x+c)^2)/sqrt(b*sec(d*x+c)),x,4,2/5*(5*A+3*C)*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))/sqrt(b*sec(d*x+c))+2/5*b^2*C*tan(d*x+c)/d/(b*sec(d*x+c))^(5/2),1],
[(A+C*cos(d*x+c)^2)/(b*sec(d*x+c))^(3/2),x,5,2/21*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))*sqrt(b*sec(d*x+c))/b^2/d+2/21*(7*A+5*C)*sin(d*x+c)/b/d/sqrt(b*sec(d*x+c))+2/7*b^2*C*tan(d*x+c)/d/(b*sec(d*x+c))^(7/2),1],
[(A+C*cos(d*x+c)^2)/(b*sec(d*x+c))^(5/2),x,5,2/15*(9*A+7*C)*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))/sqrt(b*sec(d*x+c))+2/45*(9*A+7*C)*sin(d*x+c)/b/d/(b*sec(d*x+c))^(3/2)+2/9*b^2*C*tan(d*x+c)/d/(b*sec(d*x+c))^(9/2),1],
[(b*cos(d*x+c))^m*(A+C*cos(d*x+c)^2),x,2,C*(b*cos(d*x+c))^(1+m)*sin(d*x+c)/b/d/(2+m)-(C*(1+m)+A*(2+m))*(b*cos(d*x+c))^(1+m)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/b/d/(1+m)/(2+m)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^m*(-C*(1+m)/(2+m)+C*cos(d*x+c)^2),x,1,C*(b*cos(d*x+c))^(1+m)*sin(d*x+c)/b/d/(2+m),1],
[(b*cos(d*x+c))^m*(A-A*(2+m)*cos(d*x+c)^2/(1+m)),x,1,-A*(b*cos(d*x+c))^(1+m)*sin(d*x+c)/b/d/(1+m),1],
[cos(d*x+c)^2*sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2),x,5,2/15*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/45*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b^3/d,1],
[cos(d*x+c)*sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2),x,5,2/21*b*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/21*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^2/d,1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2),x,3,2/5*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b/d,1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)*sec(d*x+c),x,4,2/3*b*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,4,-2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2*A*b*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,4,2/3*b*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2),1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,5,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/5*A*b^3*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/5*b*(3*A+5*C)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)*sec(d*x+c)^5,x,5,2/21*b*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/7*A*b^4*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/21*b^2*(5*A+7*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2),1],
[cos(d*x+c)*(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2),x,5,2/15*b*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/45*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b^2/d,1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2),x,4,2/21*b^2*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/21*b*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b/d,1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c),x,4,2/5*b*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,4,2/3*b^2*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*b*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,4,-2*b*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2*A*b^2*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,4,2/3*b^2*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*A*b^3*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2),1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^5,x,5,-2/5*b*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/5*A*b^4*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/5*b^2*(3*A+5*C)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^6,x,5,2/21*b^2*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/7*A*b^5*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/21*b^3*(5*A+7*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2),1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2),x,4,2/15*b^2*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/45*b*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b/d,1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c),x,5,2/21*b^3*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/21*b^2*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,4,2/5*b^2*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/5*b*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,4,2/3*b^3*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*b^2*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,4,-2*b^2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2*A*b^3*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^5,x,4,2/3*b^3*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*A*b^4*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2),1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^6,x,5,-2/5*b^2*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/5*A*b^5*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/5*b^3*(3*A+5*C)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^7,x,5,2/21*b^3*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/7*A*b^6*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/21*b^4*(5*A+7*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2),1],
[cos(d*x+c)^4*(A+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,6,10/231*(11*A+9*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+10/231*(11*A+9*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/b/d+2/77*(11*A+9*C)*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^3/d+2/11*C*(b*cos(d*x+c))^(9/2)*sin(d*x+c)/b^5/d,1],
[cos(d*x+c)^3*(A+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,5,2/15*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2/45*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^2/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b^4/d,1],
[cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,5,2/21*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/21*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/b/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^3/d,1],
[cos(d*x+c)*(A+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,4,2/5*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^2/d,1],
[(A+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,3,2/3*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/b/d,1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)/sqrt(b*cos(d*x+c)),x,4,-2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2*A*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^2/sqrt(b*cos(d*x+c)),x,4,2/3*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^3/sqrt(b*cos(d*x+c)),x,5,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2/5*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/5*(3*A+5*C)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^4/sqrt(b*cos(d*x+c)),x,5,2/21*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/7*A*b^3*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/21*b*(5*A+7*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^5/sqrt(b*cos(d*x+c)),x,6,-2/15*(7*A+9*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2/9*A*b^4*sin(d*x+c)/d/(b*cos(d*x+c))^(9/2)+2/45*b^2*(7*A+9*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/15*(7*A+9*C)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^4*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,5,2/15*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2/45*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^3/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b^5/d,1],
[cos(d*x+c)^3*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,5,2/21*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2/21*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^2/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^4/d,1],
[cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,4,2/5*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^3/d,1],
[cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,4,2/3*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2/3*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^2/d,1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,3,-2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2*A*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(3/2),x,4,2/3*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2/3*A*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(3/2),x,5,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2/5*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/5*(3*A+5*C)*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(3/2),x,5,2/21*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2/7*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/21*(5*A+7*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2),1],
[cos(d*x+c)^5*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,5,2/15*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2/45*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^4/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b^6/d,1],
[cos(d*x+c)^4*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,5,2/21*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/21*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^3/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^5/d,1],
[cos(d*x+c)^3*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,4,2/5*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^4/d,1],
[cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,4,2/3*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/3*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^3/d,1],
[cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,4,-2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2*A*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,3,2/3*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/3*A*sin(d*x+c)/b/d/(b*cos(d*x+c))^(3/2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(5/2),x,5,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2/5*A*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/5*(3*A+5*C)*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(5/2),x,5,2/21*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/7*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/21*(5*A+7*C)*sin(d*x+c)/b/d/(b*cos(d*x+c))^(3/2),1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(7/2),x,4,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^4/d/sqrt(cos(d*x+c))+2/5*A*sin(d*x+c)/b/d/(b*cos(d*x+c))^(5/2)+2/5*(3*A+5*C)*sin(d*x+c)/b^3/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(9/2),x,4,2/21*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^4/d/sqrt(b*cos(d*x+c))+2/7*A*sin(d*x+c)/b/d/(b*cos(d*x+c))^(7/2)+2/21*(5*A+7*C)*sin(d*x+c)/b^3/d/(b*cos(d*x+c))^(3/2),1],
[cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2),x,4,(A+C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))-1/3*(A+2*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c))+1/5*C*sqrt(b*cos(d*x+c))*sin(d*x+c)^5/d/sqrt(cos(d*x+c)),1],
[cos(d*x+c)^(3/2)*sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2),x,4,1/8*(4*A+3*C)*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/8*(4*A+3*C)*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/4*C*cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2),x,3,(A+C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))-1/3*C*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c)),1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)/sqrt(cos(d*x+c)),x,4,A*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/2*C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/2*C*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x,3,A*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c)),1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x,3,C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+A*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x,3,1/2*(A+2*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/2*A*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2),1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x,4,1/3*A*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(7/2)+1/3*(2*A+3*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[sqrt(b*cos(d*x+c))*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(11/2),x,4,1/8*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/4*A*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(9/2)+1/8*(3*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2),1],
[cos(d*x+c)^(3/2)*(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2),x,4,b*(A+C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))-1/3*b*(A+2*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c))+1/5*b*C*sqrt(b*cos(d*x+c))*sin(d*x+c)^5/d/sqrt(cos(d*x+c)),1],
[sqrt(cos(d*x+c))*(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2),x,4,1/8*b*(4*A+3*C)*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/8*b*(4*A+3*C)*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/4*b*C*cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/sqrt(cos(d*x+c)),x,3,b*(A+C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))-1/3*b*C*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c)),1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x,4,A*b*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/2*b*C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/2*b*C*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x,3,A*b*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+b*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c)),1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x,3,b*C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+A*b*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x,3,1/2*b*(A+2*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/2*A*b*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2),1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(11/2),x,4,1/3*A*b*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(7/2)+1/3*b*(2*A+3*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[(b*cos(d*x+c))^(3/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(13/2),x,4,1/8*b*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/4*A*b*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(9/2)+1/8*b*(3*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2),1],
[sqrt(cos(d*x+c))*(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2),x,4,b^2*(A+C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))-1/3*b^2*(A+2*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c))+1/5*b^2*C*sqrt(b*cos(d*x+c))*sin(d*x+c)^5/d/sqrt(cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/sqrt(cos(d*x+c)),x,4,1/8*b^2*(4*A+3*C)*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/8*b^2*(4*A+3*C)*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/4*b^2*C*cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x,3,b^2*(A+C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))-1/3*b^2*C*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x,4,A*b^2*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/2*b^2*C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/2*b^2*C*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x,3,A*b^2*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+b^2*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x,3,b^2*C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+A*b^2*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(11/2),x,3,1/2*b^2*(A+2*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/2*A*b^2*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2),1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(13/2),x,4,1/3*A*b^2*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(7/2)+1/3*b^2*(2*A+3*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[(b*cos(d*x+c))^(5/2)*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(15/2),x,4,1/8*b^2*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/4*A*b^2*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(9/2)+1/8*b^2*(3*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2),1],
[cos(d*x+c)^(5/2)*(A+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,4,1/8*(4*A+3*C)*x*sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+1/8*(4*A+3*C)*cos(d*x+c)^(3/2)*sin(d*x+c)/d/sqrt(b*cos(d*x+c))+1/4*C*cos(d*x+c)^(7/2)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(3/2)*(A+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,3,(A+C)*sqrt(cos(d*x+c))*sin(d*x+c)/d/sqrt(b*cos(d*x+c))-1/3*C*sqrt(cos(d*x+c))*sin(d*x+c)^3/d/sqrt(b*cos(d*x+c)),1],
[sqrt(cos(d*x+c))*(A+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,4,A*x*sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+1/2*C*x*sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+1/2*C*cos(d*x+c)^(3/2)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),x,3,A*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/d/sqrt(b*cos(d*x+c))+C*sqrt(cos(d*x+c))*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c)),x,3,C*x*sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+A*sin(d*x+c)/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c)),x,3,1/2*(A+2*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/d/sqrt(b*cos(d*x+c))+1/2*A*sin(d*x+c)/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/sqrt(b*cos(d*x+c)),x,4,1/3*A*sin(d*x+c)/d/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c))+1/3*(2*A+3*C)*sin(d*x+c)/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2)/sqrt(b*cos(d*x+c)),x,4,1/8*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/d/sqrt(b*cos(d*x+c))+1/4*A*sin(d*x+c)/d/cos(d*x+c)^(7/2)/sqrt(b*cos(d*x+c))+1/8*(3*A+4*C)*sin(d*x+c)/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(7/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,4,1/8*(4*A+3*C)*x*sqrt(cos(d*x+c))/b/sqrt(b*cos(d*x+c))+1/8*(4*A+3*C)*cos(d*x+c)^(3/2)*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c))+1/4*C*cos(d*x+c)^(7/2)*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(5/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,3,(A+C)*sqrt(cos(d*x+c))*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c))-1/3*C*sqrt(cos(d*x+c))*sin(d*x+c)^3/b/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(3/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,4,A*x*sqrt(cos(d*x+c))/b/sqrt(b*cos(d*x+c))+1/2*C*x*sqrt(cos(d*x+c))/b/sqrt(b*cos(d*x+c))+1/2*C*cos(d*x+c)^(3/2)*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[sqrt(cos(d*x+c))*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,3,A*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b/d/sqrt(b*cos(d*x+c))+C*sqrt(cos(d*x+c))*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/sqrt(cos(d*x+c))/(b*cos(d*x+c))^(3/2),x,3,C*x*sqrt(cos(d*x+c))/b/sqrt(b*cos(d*x+c))+A*sin(d*x+c)/b/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(3/2),x,3,1/2*(A+2*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b/d/sqrt(b*cos(d*x+c))+1/2*A*sin(d*x+c)/b/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(3/2),x,4,1/3*A*sin(d*x+c)/b/d/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c))+1/3*(2*A+3*C)*sin(d*x+c)/b/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(3/2),x,4,1/8*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b/d/sqrt(b*cos(d*x+c))+1/4*A*sin(d*x+c)/b/d/cos(d*x+c)^(7/2)/sqrt(b*cos(d*x+c))+1/8*(3*A+4*C)*sin(d*x+c)/b/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(9/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,4,1/8*(4*A+3*C)*x*sqrt(cos(d*x+c))/b^2/sqrt(b*cos(d*x+c))+1/8*(4*A+3*C)*cos(d*x+c)^(3/2)*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c))+1/4*C*cos(d*x+c)^(7/2)*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(7/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,3,(A+C)*sqrt(cos(d*x+c))*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c))-1/3*C*sqrt(cos(d*x+c))*sin(d*x+c)^3/b^2/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(5/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,4,A*x*sqrt(cos(d*x+c))/b^2/sqrt(b*cos(d*x+c))+1/2*C*x*sqrt(cos(d*x+c))/b^2/sqrt(b*cos(d*x+c))+1/2*C*cos(d*x+c)^(3/2)*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(3/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,3,A*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b^2/d/sqrt(b*cos(d*x+c))+C*sqrt(cos(d*x+c))*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[sqrt(cos(d*x+c))*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,3,C*x*sqrt(cos(d*x+c))/b^2/sqrt(b*cos(d*x+c))+A*sin(d*x+c)/b^2/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/sqrt(cos(d*x+c))/(b*cos(d*x+c))^(5/2),x,3,1/2*(A+2*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b^2/d/sqrt(b*cos(d*x+c))+1/2*A*sin(d*x+c)/b^2/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(5/2),x,4,1/3*A*sin(d*x+c)/b^2/d/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c))+1/3*(2*A+3*C)*sin(d*x+c)/b^2/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(5/2),x,4,1/8*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b^2/d/sqrt(b*cos(d*x+c))+1/4*A*sin(d*x+c)/b^2/d/cos(d*x+c)^(7/2)/sqrt(b*cos(d*x+c))+1/8*(3*A+4*C)*sin(d*x+c)/b^2/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^2*(b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x,3,3/13*C*(b*cos(d*x+c))^(10/3)*sin(d*x+c)/b^3/d-3/130*(13*A+10*C)*(b*cos(d*x+c))^(10/3)*hypergeom([1/2, 5/3],[8/3],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x,3,3/10*C*(b*cos(d*x+c))^(7/3)*sin(d*x+c)/b^2/d-3/70*(10*A+7*C)*(b*cos(d*x+c))^(7/3)*hypergeom([1/2, 7/6],[13/6],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x,2,3/7*C*(b*cos(d*x+c))^(4/3)*sin(d*x+c)/b/d-3/28*(7*A+4*C)*(b*cos(d*x+c))^(4/3)*hypergeom([1/2, 2/3],[5/3],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c),x,3,3/4*C*(b*cos(d*x+c))^(1/3)*sin(d*x+c)/d-3/4*(4*A+C)*(b*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[7/6],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,3,3/2*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(2/3)+3/8*(A-2*C)*(b*cos(d*x+c))^(4/3)*hypergeom([1/2, 2/3],[5/3],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,3,3/5*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(5/3)-3/5*(2*A+5*C)*(b*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[7/6],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^2*(b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x,3,3/14*C*(b*cos(d*x+c))^(11/3)*sin(d*x+c)/b^3/d-3/154*(14*A+11*C)*(b*cos(d*x+c))^(11/3)*hypergeom([1/2, 11/6],[17/6],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x,3,3/11*C*(b*cos(d*x+c))^(8/3)*sin(d*x+c)/b^2/d-3/88*(11*A+8*C)*(b*cos(d*x+c))^(8/3)*hypergeom([1/2, 4/3],[7/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x,2,3/8*C*(b*cos(d*x+c))^(5/3)*sin(d*x+c)/b/d-3/40*(8*A+5*C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c),x,3,3/5*C*(b*cos(d*x+c))^(2/3)*sin(d*x+c)/d-3/10*(5*A+2*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,3,3*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(1/3)+3/5*(2*A-C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,3,3/4*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(4/3)-3/8*(A+4*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^2*(b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2),x,3,3/16*C*(b*cos(d*x+c))^(13/3)*sin(d*x+c)/b^3/d-3/208*(16*A+13*C)*(b*cos(d*x+c))^(13/3)*hypergeom([1/2, 13/6],[19/6],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2),x,3,3/13*C*(b*cos(d*x+c))^(10/3)*sin(d*x+c)/b^2/d-3/130*(13*A+10*C)*(b*cos(d*x+c))^(10/3)*hypergeom([1/2, 5/3],[8/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2),x,2,3/10*C*(b*cos(d*x+c))^(7/3)*sin(d*x+c)/b/d-3/70*(10*A+7*C)*(b*cos(d*x+c))^(7/3)*hypergeom([1/2, 7/6],[13/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c),x,3,3/7*C*(b*cos(d*x+c))^(4/3)*sin(d*x+c)/d-3/28*(7*A+4*C)*(b*cos(d*x+c))^(4/3)*hypergeom([1/2, 2/3],[5/3],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,3,3/4*b*C*(b*cos(d*x+c))^(1/3)*sin(d*x+c)/d-3/4*b*(4*A+C)*(b*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[7/6],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,3,3/2*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(2/3)+3/8*(A-2*C)*(b*cos(d*x+c))^(4/3)*hypergeom([1/2, 2/3],[5/3],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x,3,3/11*C*(b*cos(d*x+c))^(8/3)*sin(d*x+c)/b^3/d-3/88*(11*A+8*C)*(b*cos(d*x+c))^(8/3)*hypergeom([1/2, 4/3],[7/3],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x,3,3/8*C*(b*cos(d*x+c))^(5/3)*sin(d*x+c)/b^2/d-3/40*(8*A+5*C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x,2,3/5*C*(b*cos(d*x+c))^(2/3)*sin(d*x+c)/b/d-3/10*(5*A+2*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(1/3),x,3,3*A*sin(d*x+c)/d/(b*cos(d*x+c))^(1/3)+3/5*(2*A-C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(1/3),x,3,3/4*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(4/3)-3/8*(A+4*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(1/3),x,3,3/7*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(7/3)+3/7*(4*A+7*C)*hypergeom([-1/6, 1/2],[5/6],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x,3,3/10*C*(b*cos(d*x+c))^(7/3)*sin(d*x+c)/b^3/d-3/70*(10*A+7*C)*(b*cos(d*x+c))^(7/3)*hypergeom([1/2, 7/6],[13/6],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x,3,3/7*C*(b*cos(d*x+c))^(4/3)*sin(d*x+c)/b^2/d-3/28*(7*A+4*C)*(b*cos(d*x+c))^(4/3)*hypergeom([1/2, 2/3],[5/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x,2,3/4*C*(b*cos(d*x+c))^(1/3)*sin(d*x+c)/b/d-3/4*(4*A+C)*(b*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[7/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(2/3),x,3,3/2*A*sin(d*x+c)/d/(b*cos(d*x+c))^(2/3)+3/8*(A-2*C)*(b*cos(d*x+c))^(4/3)*hypergeom([1/2, 2/3],[5/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(2/3),x,3,3/5*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(5/3)-3/5*(2*A+5*C)*(b*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[7/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(2/3),x,3,3/8*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(8/3)+3/16*(5*A+8*C)*hypergeom([-1/3, 1/2],[2/3],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(2/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x,3,3/8*C*(b*cos(d*x+c))^(5/3)*sin(d*x+c)/b^3/d-3/40*(8*A+5*C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x,3,3/5*C*(b*cos(d*x+c))^(2/3)*sin(d*x+c)/b^2/d-3/10*(5*A+2*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x,2,3*A*sin(d*x+c)/b/d/(b*cos(d*x+c))^(1/3)+3/5*(2*A-C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(4/3),x,3,3/4*A*sin(d*x+c)/d/(b*cos(d*x+c))^(4/3)-3/8*(A+4*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(4/3),x,3,3/7*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(7/3)+3/7*(4*A+7*C)*hypergeom([-1/6, 1/2],[5/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[(A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(4/3),x,3,3/10*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(10/3)+3/40*(7*A+10*C)*hypergeom([-2/3, 1/2],[1/3],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(4/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(b*cos(d*x+c))^(4/3)*(A+C*cos(d*x+c)^2),x,3,3*b*C*cos(d*x+c)^(2+m)*(b*cos(d*x+c))^(1/3)*sin(d*x+c)/d/(10+3*m)-3*b*(C*(7+3*m)+A*(10+3*m))*cos(d*x+c)^(2+m)*(b*cos(d*x+c))^(1/3)*hypergeom([1/2, 7/6+1/2*m],[13/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(7+3*m)/(10+3*m)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x,3,3*C*cos(d*x+c)^(1+m)*(b*cos(d*x+c))^(2/3)*sin(d*x+c)/d/(8+3*m)-3*(C*(5+3*m)+A*(8+3*m))*cos(d*x+c)^(1+m)*(b*cos(d*x+c))^(2/3)*hypergeom([1/2, 5/6+1/2*m],[11/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(5+3*m)/(8+3*m)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x,3,3*C*cos(d*x+c)^(1+m)*(b*cos(d*x+c))^(1/3)*sin(d*x+c)/d/(7+3*m)-3*(C*(4+3*m)+A*(7+3*m))*cos(d*x+c)^(1+m)*(b*cos(d*x+c))^(1/3)*hypergeom([1/2, 2/3+1/2*m],[5/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(4+3*m)/(7+3*m)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x,3,3*C*cos(d*x+c)^(1+m)*sin(d*x+c)/d/(5+3*m)/(b*cos(d*x+c))^(1/3)-3*(C*(2+3*m)+A*(5+3*m))*cos(d*x+c)^(1+m)*hypergeom([1/2, 1/3+1/2*m],[4/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(2+3*m)/(5+3*m)/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x,3,3*C*cos(d*x+c)^(1+m)*sin(d*x+c)/d/(4+3*m)/(b*cos(d*x+c))^(2/3)-3*(C+3*C*m+A*(4+3*m))*cos(d*x+c)^(1+m)*hypergeom([1/2, 1/6+1/2*m],[7/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(1+3*m)/(4+3*m)/(b*cos(d*x+c))^(2/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x,3,3*C*cos(d*x+c)^m*sin(d*x+c)/b/d/(2+3*m)/(b*cos(d*x+c))^(1/3)-3*(C*(1-3*m)-A*(2+3*m))*cos(d*x+c)^m*hypergeom([1/2, -1/6+1/2*m],[5/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/b/d/(1-3*m)/(2+3*m)/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[(a*cos(d*x+c))^m*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x,3,C*(a*cos(d*x+c))^(1+m)*(b*cos(d*x+c))^n*sin(d*x+c)/a/d/(2+m+n)-(C*(1+m+n)+A*(2+m+n))*(a*cos(d*x+c))^(1+m)*(b*cos(d*x+c))^n*hypergeom([1/2, 1/2+1/2*m+1/2*n],[3/2+1/2*m+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/a/d/(1+m+n)/(2+m+n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^2*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x,3,C*(b*cos(d*x+c))^(3+n)*sin(d*x+c)/b^3/d/(4+n)-(C*(3+n)+A*(4+n))*(b*cos(d*x+c))^(3+n)*hypergeom([1/2, 3/2+1/2*n],[5/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/(3+n)/(4+n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x,3,C*(b*cos(d*x+c))^(2+n)*sin(d*x+c)/b^2/d/(3+n)-(C*(2+n)+A*(3+n))*(b*cos(d*x+c))^(2+n)*hypergeom([1/2, 1+1/2*n],[2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/(2+n)/(3+n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x,2,C*(b*cos(d*x+c))^(1+n)*sin(d*x+c)/b/d/(2+n)-(C*(1+n)+A*(2+n))*(b*cos(d*x+c))^(1+n)*hypergeom([1/2, 1/2+1/2*n],[3/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b/d/(1+n)/(2+n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)*sec(d*x+c),x,3,C*(b*cos(d*x+c))^n*sin(d*x+c)/d/(1+n)-(A*n+C*n+A)*(b*cos(d*x+c))^n*hypergeom([1/2, 1/2*n],[1+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/n/(1+n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,3,b*C*(b*cos(d*x+c))^(-1+n)*sin(d*x+c)/d/n-b*(C*(1-n)-A*n)*(b*cos(d*x+c))^(-1+n)*hypergeom([1/2, -1/2+1/2*n],[1/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-n)/n/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,3,-b^2*C*(b*cos(d*x+c))^(-2+n)*sin(d*x+c)/d/(1-n)+b^2*(A*(1-n)+C*(2-n))*(b*cos(d*x+c))^(-2+n)*hypergeom([1/2, -1+1/2*n],[1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-n)/(2-n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,3,-b^3*C*(b*cos(d*x+c))^(-3+n)*sin(d*x+c)/d/(2-n)+b^3*(A*(2-n)+C*(3-n))*(b*cos(d*x+c))^(-3+n)*hypergeom([1/2, -3/2+1/2*n],[-1/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(2-n)/(3-n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x,3,2*C*cos(d*x+c)^(7/2)*(b*cos(d*x+c))^n*sin(d*x+c)/d/(9+2*n)-2*(C*(7+2*n)+A*(9+2*n))*cos(d*x+c)^(7/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 7/4+1/2*n],[11/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(7+2*n)/(9+2*n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x,3,2*C*cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*sin(d*x+c)/d/(7+2*n)-2*(C*(5+2*n)+A*(7+2*n))*cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 5/4+1/2*n],[9/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(5+2*n)/(7+2*n)/sqrt(sin(d*x+c)^2),1],
[sqrt(cos(d*x+c))*(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2),x,3,2*C*cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*sin(d*x+c)/d/(5+2*n)-2*(C*(3+2*n)+A*(5+2*n))*cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 3/4+1/2*n],[7/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(3+2*n)/(5+2*n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)/sqrt(cos(d*x+c)),x,3,2*C*sqrt(cos(d*x+c))*(b*cos(d*x+c))^n*sin(d*x+c)/d/(3+2*n)-2*(C+2*C*n+A*(3+2*n))*sqrt(cos(d*x+c))*(b*cos(d*x+c))^n*hypergeom([1/2, 1/4+1/2*n],[5/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1+2*n)/(3+2*n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x,3,2*C*(b*cos(d*x+c))^n*sin(d*x+c)/d/(1+2*n)/sqrt(cos(d*x+c))+2*(A-C*(1-2*n)+2*A*n)*(b*cos(d*x+c))^n*hypergeom([1/2, -1/4+1/2*n],[3/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(-4*n^2+1)/sqrt(cos(d*x+c))/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x,3,-2*C*(b*cos(d*x+c))^n*sin(d*x+c)/d/(1-2*n)/cos(d*x+c)^(3/2)+2*(A+C*(3-2*n)-2*A*n)*(b*cos(d*x+c))^n*hypergeom([1/2, -3/4+1/2*n],[1/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-2*n)/(3-2*n)/cos(d*x+c)^(3/2)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x,3,-2*C*(b*cos(d*x+c))^n*sin(d*x+c)/d/(3-2*n)/cos(d*x+c)^(5/2)+2*(A*(3-2*n)+C*(5-2*n))*(b*cos(d*x+c))^n*hypergeom([1/2, -5/4+1/2*n],[-1/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(3-2*n)/(5-2*n)/cos(d*x+c)^(5/2)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x,3,-2*C*(b*cos(d*x+c))^n*sin(d*x+c)/d/(5-2*n)/cos(d*x+c)^(7/2)+2*(A*(5-2*n)+C*(7-2*n))*(b*cos(d*x+c))^n*hypergeom([1/2, -7/4+1/2*n],[-3/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(5-2*n)/(7-2*n)/cos(d*x+c)^(7/2)/sqrt(sin(d*x+c)^2),1],
[(a+a*cos(f*x+e))^m*(A+C*cos(f*x+e)^2),x,4,-C*(a+a*cos(f*x+e))^m*sin(f*x+e)/f/(m^2+3*m+2)+C*(a+a*cos(f*x+e))^(1+m)*sin(f*x+e)/a/f/(2+m)+2^(1/2+m)*(C*(m^2+m+1)+A*(m^2+3*m+2))*(1+cos(f*x+e))^(-1/2-m)*(a+a*cos(f*x+e))^m*hypergeom([1/2, 1/2-m],[3/2],1/2-1/2*cos(f*x+e))*sin(f*x+e)/f/(1+m)/(2+m),1],
[(a+a*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x,4,-9/40*C*(a+a*cos(d*x+c))^(2/3)*sin(d*x+c)/d+3/8*C*(a+a*cos(d*x+c))^(5/3)*sin(d*x+c)/a/d+1/20*(40*A+19*C)*(a+a*cos(d*x+c))^(2/3)*hypergeom([-1/6, 1/2],[3/2],1/2-1/2*cos(d*x+c))*sin(d*x+c)*2^(1/6)/d/(1+cos(d*x+c))^(7/6),1],
[(a+a*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x,4,-9/28*C*(a+a*cos(d*x+c))^(1/3)*sin(d*x+c)/d+3/7*C*(a+a*cos(d*x+c))^(4/3)*sin(d*x+c)/a/d+1/28*(28*A+13*C)*(a+a*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[3/2],1/2-1/2*cos(d*x+c))*sin(d*x+c)*2^(5/6)/d/(1+cos(d*x+c))^(5/6),1],
[(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(1/3),x,4,-9/10*C*sin(d*x+c)/d/(a+a*cos(d*x+c))^(1/3)+3/5*C*(a+a*cos(d*x+c))^(2/3)*sin(d*x+c)/a/d+1/10*(10*A+7*C)*hypergeom([1/2, 5/6],[3/2],1/2-1/2*cos(d*x+c))*sin(d*x+c)*2^(1/6)/d/(1+cos(d*x+c))^(1/6)/(a+a*cos(d*x+c))^(1/3),1],
[(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(2/3),x,4,3*(A+C)*sin(d*x+c)/d/(a+a*cos(d*x+c))^(2/3)+3/4*C*(a+a*cos(d*x+c))^(1/3)*sin(d*x+c)/a/d-1/4*(4*A+7*C)*(a+a*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[3/2],1/2-1/2*cos(d*x+c))*sin(d*x+c)*2^(5/6)/a/d/(1+cos(d*x+c))^(5/6),1],
[(a+b*cos(d*x+c))^(2/3)*(A+C*cos(d*x+c)^2),x,6,3/8*C*(a+b*cos(d*x+c))^(5/3)*sin(d*x+c)/b/d-3/4*a*C*AppellF1(1/2,1/2,-5/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(5/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(5/3)+1/4*(3*a^2*C+b^2*(8*A+5*C))*AppellF1(1/2,1/2,-2/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(2/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(2/3),1],
[(a+b*cos(d*x+c))^(1/3)*(A+C*cos(d*x+c)^2),x,6,3/7*C*(a+b*cos(d*x+c))^(4/3)*sin(d*x+c)/b/d-3/7*sqrt(2)*a*C*AppellF1(1/2,1/2,-4/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(4/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(4/3)+1/7*sqrt(2)*(3*a^2*C+b^2*(7*A+4*C))*AppellF1(1/2,1/2,-1/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(1/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(1/3),1],
[(A+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(1/3),x,6,3/5*C*(a+b*cos(d*x+c))^(2/3)*sin(d*x+c)/b/d-3/5*sqrt(2)*a*C*AppellF1(1/2,1/2,-2/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(2/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(2/3)+1/5*sqrt(2)*(3*a^2*C+b^2*(5*A+2*C))*AppellF1(1/2,1/2,1/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*((a+b*cos(d*x+c))/(a+b))^(1/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/(a+b*cos(d*x+c))^(1/3),1],
[(A+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(2/3),x,6,3/4*C*(a+b*cos(d*x+c))^(1/3)*sin(d*x+c)/b/d-3/2*a*C*AppellF1(1/2,1/2,-1/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(1/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(1/3)+1/2*(3*a^2*C+b^2*(4*A+C))*AppellF1(1/2,1/2,2/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*((a+b*cos(d*x+c))/(a+b))^(2/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/(a+b*cos(d*x+c))^(2/3),1],
[(a+b*cos(f*x+e))^m*(A-A*cos(f*x+e)^2),x,9,-4*sqrt(2)*A*AppellF1(1/2,-3/2,-m,3/2,1/2-1/2*cos(f*x+e),b*(1-cos(f*x+e))/(a+b))*(a+b*cos(f*x+e))^m*sin(f*x+e)/f/sqrt(1+cos(f*x+e))/(((a+b*cos(f*x+e))/(a+b))^m)+4*sqrt(2)*A*AppellF1(1/2,-1/2,-m,3/2,1/2-1/2*cos(f*x+e),b*(1-cos(f*x+e))/(a+b))*(a+b*cos(f*x+e))^m*sin(f*x+e)/f/sqrt(1+cos(f*x+e))/(((a+b*cos(f*x+e))/(a+b))^m),1],
[(a+b*cos(f*x+e))^m*(A+C*cos(f*x+e)^2),x,6,C*(a+b*cos(f*x+e))^(1+m)*sin(f*x+e)/b/f/(2+m)-sqrt(2)*a*C*AppellF1(1/2,1/2,-1-m,3/2,1/2-1/2*cos(f*x+e),b*(1-cos(f*x+e))/(a+b))*(a+b*cos(f*x+e))^(1+m)*((a+b*cos(f*x+e))/(a+b))^(-1-m)*sin(f*x+e)/b^2/f/(2+m)/sqrt(1+cos(f*x+e))+sqrt(2)*(a^2*C+b^2*(C*(1+m)+A*(2+m)))*AppellF1(1/2,1/2,-m,3/2,1/2-1/2*cos(f*x+e),b*(1-cos(f*x+e))/(a+b))*(a+b*cos(f*x+e))^m*sin(f*x+e)/b^2/f/(2+m)/sqrt(1+cos(f*x+e))/(((a+b*cos(f*x+e))/(a+b))^m),1],
[(a*cos(f*x+e))^m*(B*cos(f*x+e)+C*cos(f*x+e)^2),x,4,-B*(a*cos(f*x+e))^(2+m)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],cos(f*x+e)^2)*sin(f*x+e)/a^2/f/(2+m)/sqrt(sin(f*x+e)^2)-C*(a*cos(f*x+e))^(3+m)*hypergeom([1/2, 3/2+1/2*m],[5/2+1/2*m],cos(f*x+e)^2)*sin(f*x+e)/a^3/f/(3+m)/sqrt(sin(f*x+e)^2),1],
[cos(d*x+c)^m*(b*cos(d*x+c))^(1/3)*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,-3*B*cos(d*x+c)^(2+m)*(b*cos(d*x+c))^(1/3)*hypergeom([1/2, 7/6+1/2*m],[13/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(7+3*m)/sqrt(sin(d*x+c)^2)-3*C*cos(d*x+c)^(3+m)*(b*cos(d*x+c))^(1/3)*hypergeom([1/2, 5/3+1/2*m],[8/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(10+3*m)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(b*cos(d*x+c))^(2/3)*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,-3*B*cos(d*x+c)^(2+m)*(b*cos(d*x+c))^(2/3)*hypergeom([1/2, 4/3+1/2*m],[7/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(8+3*m)/sqrt(sin(d*x+c)^2)-3*C*cos(d*x+c)^(3+m)*(b*cos(d*x+c))^(2/3)*hypergeom([1/2, 11/6+1/2*m],[17/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(11+3*m)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(b*cos(d*x+c))^(4/3)*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,-3*b*B*cos(d*x+c)^(3+m)*(b*cos(d*x+c))^(1/3)*hypergeom([1/2, 5/3+1/2*m],[8/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(10+3*m)/sqrt(sin(d*x+c)^2)-3*b*C*cos(d*x+c)^(4+m)*(b*cos(d*x+c))^(1/3)*hypergeom([1/2, 13/6+1/2*m],[19/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(13+3*m)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x,5,-3*B*cos(d*x+c)^(2+m)*hypergeom([1/2, 5/6+1/2*m],[11/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(5+3*m)/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2)-3*C*cos(d*x+c)^(3+m)*hypergeom([1/2, 4/3+1/2*m],[7/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(8+3*m)/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x,5,-3*B*cos(d*x+c)^(2+m)*hypergeom([1/2, 2/3+1/2*m],[5/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(4+3*m)/(b*cos(d*x+c))^(2/3)/sqrt(sin(d*x+c)^2)-3*C*cos(d*x+c)^(3+m)*hypergeom([1/2, 7/6+1/2*m],[13/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(7+3*m)/(b*cos(d*x+c))^(2/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x,5,-3*B*cos(d*x+c)^(1+m)*hypergeom([1/2, 1/3+1/2*m],[4/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/b/d/(2+3*m)/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2)-3*C*cos(d*x+c)^(2+m)*hypergeom([1/2, 5/6+1/2*m],[11/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/b/d/(5+3*m)/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[(a*cos(d*x+c))^m*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,-B*(a*cos(d*x+c))^(2+m)*(b*cos(d*x+c))^n*hypergeom([1/2, 1+1/2*m+1/2*n],[2+1/2*m+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/a^2/d/(2+m+n)/sqrt(sin(d*x+c)^2)-C*(a*cos(d*x+c))^(3+m)*(b*cos(d*x+c))^n*hypergeom([1/2, 3/2+1/2*m+1/2*n],[5/2+1/2*m+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/a^3/d/(3+m+n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^2*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,-B*(b*cos(d*x+c))^(4+n)*hypergeom([1/2, 2+1/2*n],[3+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^4/d/(4+n)/sqrt(sin(d*x+c)^2)-C*(b*cos(d*x+c))^(5+n)*hypergeom([1/2, 5/2+1/2*n],[7/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^5/d/(5+n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,-B*(b*cos(d*x+c))^(3+n)*hypergeom([1/2, 3/2+1/2*n],[5/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/(3+n)/sqrt(sin(d*x+c)^2)-C*(b*cos(d*x+c))^(4+n)*hypergeom([1/2, 2+1/2*n],[3+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^4/d/(4+n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,4,-B*(b*cos(d*x+c))^(2+n)*hypergeom([1/2, 1+1/2*n],[2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/(2+n)/sqrt(sin(d*x+c)^2)-C*(b*cos(d*x+c))^(3+n)*hypergeom([1/2, 3/2+1/2*n],[5/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/(3+n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x,5,-B*(b*cos(d*x+c))^(1+n)*hypergeom([1/2, 1/2+1/2*n],[3/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b/d/(1+n)/sqrt(sin(d*x+c)^2)-C*(b*cos(d*x+c))^(2+n)*hypergeom([1/2, 1+1/2*n],[2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/(2+n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,5,-B*(b*cos(d*x+c))^n*hypergeom([1/2, 1/2*n],[1+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/n/sqrt(sin(d*x+c)^2)-C*(b*cos(d*x+c))^(1+n)*hypergeom([1/2, 1/2+1/2*n],[3/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b/d/(1+n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,5,b*B*(b*cos(d*x+c))^(-1+n)*hypergeom([1/2, -1/2+1/2*n],[1/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-n)/sqrt(sin(d*x+c)^2)-C*(b*cos(d*x+c))^n*hypergeom([1/2, 1/2*n],[1+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/n/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,5,b^2*B*(b*cos(d*x+c))^(-2+n)*hypergeom([1/2, -1+1/2*n],[1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(2-n)/sqrt(sin(d*x+c)^2)+b*C*(b*cos(d*x+c))^(-1+n)*hypergeom([1/2, -1/2+1/2*n],[1/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,-2*B*cos(d*x+c)^(9/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 9/4+1/2*n],[13/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(9+2*n)/sqrt(sin(d*x+c)^2)-2*C*cos(d*x+c)^(11/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 11/4+1/2*n],[15/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(11+2*n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,-2*B*cos(d*x+c)^(7/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 7/4+1/2*n],[11/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(7+2*n)/sqrt(sin(d*x+c)^2)-2*C*cos(d*x+c)^(9/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 9/4+1/2*n],[13/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(9+2*n)/sqrt(sin(d*x+c)^2),1],
[sqrt(cos(d*x+c))*(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,-2*B*cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 5/4+1/2*n],[9/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(5+2*n)/sqrt(sin(d*x+c)^2)-2*C*cos(d*x+c)^(7/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 7/4+1/2*n],[11/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(7+2*n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(cos(d*x+c)),x,5,-2*B*cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 3/4+1/2*n],[7/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(3+2*n)/sqrt(sin(d*x+c)^2)-2*C*cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 5/4+1/2*n],[9/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(5+2*n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x,5,-2*B*sqrt(cos(d*x+c))*(b*cos(d*x+c))^n*hypergeom([1/2, 1/4+1/2*n],[5/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1+2*n)/sqrt(sin(d*x+c)^2)-2*C*cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 3/4+1/2*n],[7/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(3+2*n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x,5,2*B*(b*cos(d*x+c))^n*hypergeom([1/2, -1/4+1/2*n],[3/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-2*n)/sqrt(cos(d*x+c))/sqrt(sin(d*x+c)^2)-2*C*sqrt(cos(d*x+c))*(b*cos(d*x+c))^n*hypergeom([1/2, 1/4+1/2*n],[5/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1+2*n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x,5,2*B*(b*cos(d*x+c))^n*hypergeom([1/2, -3/4+1/2*n],[1/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(3-2*n)/cos(d*x+c)^(3/2)/sqrt(sin(d*x+c)^2)+2*C*(b*cos(d*x+c))^n*hypergeom([1/2, -1/4+1/2*n],[3/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-2*n)/sqrt(cos(d*x+c))/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x,5,2*B*(b*cos(d*x+c))^n*hypergeom([1/2, -5/4+1/2*n],[-1/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(5-2*n)/cos(d*x+c)^(5/2)/sqrt(sin(d*x+c)^2)+2*C*(b*cos(d*x+c))^n*hypergeom([1/2, -3/4+1/2*n],[1/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(3-2*n)/cos(d*x+c)^(3/2)/sqrt(sin(d*x+c)^2),1],
[(a+a*cos(f*x+e))^m*(B*cos(f*x+e)+C*cos(f*x+e)^2),x,4,-(C-B*(2+m))*(a+a*cos(f*x+e))^m*sin(f*x+e)/f/(1+m)/(2+m)+C*(a+a*cos(f*x+e))^(1+m)*sin(f*x+e)/a/f/(2+m)+2^(1/2+m)*(B*m*(2+m)+C*(m^2+m+1))*(1+cos(f*x+e))^(-1/2-m)*(a+a*cos(f*x+e))^m*hypergeom([1/2, 1/2-m],[3/2],1/2-1/2*cos(f*x+e))*sin(f*x+e)/f/(1+m)/(2+m),1],
[(a+b*cos(f*x+e))^m*(B*cos(f*x+e)+C*cos(f*x+e)^2),x,6,C*(a+b*cos(f*x+e))^(1+m)*sin(f*x+e)/b/f/(2+m)-sqrt(2)*(a*C-b*B*(2+m))*AppellF1(1/2,1/2,-1-m,3/2,1/2-1/2*cos(f*x+e),b*(1-cos(f*x+e))/(a+b))*(a+b*cos(f*x+e))^(1+m)*((a+b*cos(f*x+e))/(a+b))^(-1-m)*sin(f*x+e)/b^2/f/(2+m)/sqrt(1+cos(f*x+e))+sqrt(2)*(a^2*C+b^2*C*(1+m)-a*b*B*(2+m))*AppellF1(1/2,1/2,-m,3/2,1/2-1/2*cos(f*x+e),b*(1-cos(f*x+e))/(a+b))*(a+b*cos(f*x+e))^m*sin(f*x+e)/b^2/f/(2+m)/sqrt(1+cos(f*x+e))/(((a+b*cos(f*x+e))/(a+b))^m),1],
[(a+b*cos(d*x+c))^(2/3)*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,6,3/8*C*(a+b*cos(d*x+c))^(5/3)*sin(d*x+c)/b/d+1/4*(8*B*b-3*C*a)*AppellF1(1/2,1/2,-5/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(5/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(5/3)-1/4*(8*B*a*b-3*C*a^2-5*C*b^2)*AppellF1(1/2,1/2,-2/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(2/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(2/3),1],
[(a+b*cos(d*x+c))^(1/3)*(B*cos(d*x+c)+C*cos(d*x+c)^2),x,6,3/7*C*(a+b*cos(d*x+c))^(4/3)*sin(d*x+c)/b/d+1/7*sqrt(2)*(7*B*b-3*C*a)*AppellF1(1/2,1/2,-4/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(4/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(4/3)-1/7*sqrt(2)*(7*B*a*b-3*C*a^2-4*C*b^2)*AppellF1(1/2,1/2,-1/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(1/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(1/3),1],
[(B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(1/3),x,6,3/5*C*(a+b*cos(d*x+c))^(2/3)*sin(d*x+c)/b/d+1/5*sqrt(2)*(5*B*b-3*C*a)*AppellF1(1/2,1/2,-2/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(2/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(2/3)-1/5*sqrt(2)*(5*B*a*b-3*C*a^2-2*C*b^2)*AppellF1(1/2,1/2,1/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*((a+b*cos(d*x+c))/(a+b))^(1/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/(a+b*cos(d*x+c))^(1/3),1],
[(B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(2/3),x,6,3/4*C*(a+b*cos(d*x+c))^(1/3)*sin(d*x+c)/b/d+1/2*(4*B*b-3*C*a)*AppellF1(1/2,1/2,-1/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(1/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(1/3)-1/2*(4*B*a*b-3*C*a^2-C*b^2)*AppellF1(1/2,1/2,2/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*((a+b*cos(d*x+c))/(a+b))^(2/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/(a+b*cos(d*x+c))^(2/3),1],
[(a*cos(f*x+e))^m*(A+B*cos(f*x+e)+C*cos(f*x+e)^2),x,4,C*(a*cos(f*x+e))^(1+m)*sin(f*x+e)/a/f/(2+m)-(C*(1+m)+A*(2+m))*(a*cos(f*x+e))^(1+m)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],cos(f*x+e)^2)*sin(f*x+e)/a/f/(1+m)/(2+m)/sqrt(sin(f*x+e)^2)-B*(a*cos(f*x+e))^(2+m)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],cos(f*x+e)^2)*sin(f*x+e)/a^2/f/(2+m)/sqrt(sin(f*x+e)^2),1],
[cos(d*x+c)^2*sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,10,2/15*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+10/21*b*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+10/21*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/45*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b/d+2/7*B*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^2/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b^3/d,1],
[cos(d*x+c)*sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,9,6/5*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/21*b*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/21*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/5*B*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^2/d,1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,7,2/5*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b/d,1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x,7,2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,7,-2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2*b*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2*A*b*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,8,-2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+2*b*B*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,9,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/5*A*b^3*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/3*b^2*B*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+2/5*b*(3*A+5*C)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^5,x,10,-6/5*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/21*b*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/7*A*b^4*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/5*b^3*B*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/21*b^2*(5*A+7*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+6/5*b*B*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)*(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,10,2/15*b*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+10/21*b^2*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+10/21*b*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/45*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d+2/7*B*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b^2/d,1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,8,6/5*b*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/21*b^2*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/21*b*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/5*B*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b/d,1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x,8,2/5*b*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b^2*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*b*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,7,2*b*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b^2*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*b*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,7,-2*b*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2*b^2*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2*A*b^2*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,8,-2*b*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b^2*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*A*b^3*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+2*b^2*B*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^5,x,9,-2/5*b*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b^2*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/5*A*b^4*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/3*b^3*B*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+2/5*b^2*(3*A+5*C)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^6,x,10,-6/5*b*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/21*b^2*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/7*A*b^5*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/5*b^4*B*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/21*b^3*(5*A+7*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+6/5*b^2*B*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,9,2/15*b^2*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+10/21*b^3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+10/21*b^2*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/45*b*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d+2/7*B*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b/d,1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x,9,6/5*b^2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/21*b^3*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/21*b^2*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/5*b*B*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,8,2/5*b^2*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b^3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*b^2*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+2/5*b*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,7,2*b^2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b^3*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*b^2*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,7,-2*b^2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2*b^3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2*A*b^3*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^5,x,8,-2*b^2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b^3*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*A*b^4*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+2*b^3*B*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^6,x,9,-2/5*b^2*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/3*b^3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/5*A*b^5*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/3*b^4*B*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+2/5*b^3*(3*A+5*C)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^7,x,10,-6/5*b^2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/d/sqrt(cos(d*x+c))+2/21*b^3*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/7*A*b^6*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/5*b^5*B*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/21*b^4*(5*A+7*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+6/5*b^3*B*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,10,2/15*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+10/21*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+10/21*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/b/d+2/45*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^2/d+2/7*B*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^3/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b^4/d,1],
[cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,9,6/5*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2/21*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/21*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/b/d+2/5*B*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^2/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^3/d,1],
[cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,8,2/5*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2/3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/b/d+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^2/d,1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,6,2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2/3*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/b/d,1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/sqrt(b*cos(d*x+c)),x,7,-2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2*A*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/sqrt(b*cos(d*x+c)),x,8,-2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2/3*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/3*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+2*B*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3/sqrt(b*cos(d*x+c)),x,9,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2/3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/5*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/3*b*B*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+2/5*(3*A+5*C)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4/sqrt(b*cos(d*x+c)),x,10,-6/5*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b/d/sqrt(cos(d*x+c))+2/21*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/d/sqrt(b*cos(d*x+c))+2/7*A*b^3*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/5*b^2*B*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/21*b*(5*A+7*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+6/5*B*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^4*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,10,2/15*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+10/21*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+10/21*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^2/d+2/45*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^3/d+2/7*B*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^4/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b^5/d,1],
[cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,9,6/5*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2/21*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2/21*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^2/d+2/5*B*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^3/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^4/d,1],
[cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,8,2/5*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2/3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2/3*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^2/d+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^3/d,1],
[cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,7,2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2/3*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2/3*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^2/d,1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,6,-2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2*A*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(3/2),x,8,-2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2/3*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2/3*A*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+2*B*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(3/2),x,9,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2/3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2/5*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/3*B*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+2/5*(3*A+5*C)*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(3/2),x,10,-6/5*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^2/d/sqrt(cos(d*x+c))+2/21*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b/d/sqrt(b*cos(d*x+c))+2/7*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/5*b*B*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/21*(5*A+7*C)*sin(d*x+c)/d/(b*cos(d*x+c))^(3/2)+6/5*B*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^5*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,10,2/15*(9*A+7*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+10/21*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+10/21*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^3/d+2/45*(9*A+7*C)*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^4/d+2/7*B*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^5/d+2/9*C*(b*cos(d*x+c))^(7/2)*sin(d*x+c)/b^6/d,1],
[cos(d*x+c)^4*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,9,6/5*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2/21*(7*A+5*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/21*(7*A+5*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^3/d+2/5*B*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^4/d+2/7*C*(b*cos(d*x+c))^(5/2)*sin(d*x+c)/b^5/d,1],
[cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,8,2/5*(5*A+3*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2/3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/3*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^3/d+2/5*C*(b*cos(d*x+c))^(3/2)*sin(d*x+c)/b^4/d,1],
[cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,7,2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2/3*(3*A+C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/3*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/b^3/d,1],
[cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,7,-2*(A-C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2*A*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,7,-2*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2/3*(A+3*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/3*A*sin(d*x+c)/b/d/(b*cos(d*x+c))^(3/2)+2*B*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(5/2),x,9,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2/3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/5*A*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/3*B*sin(d*x+c)/b/d/(b*cos(d*x+c))^(3/2)+2/5*(3*A+5*C)*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(5/2),x,10,-6/5*B*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^3/d/sqrt(cos(d*x+c))+2/21*(5*A+7*C)*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^2/d/sqrt(b*cos(d*x+c))+2/7*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(7/2)+2/5*B*sin(d*x+c)/d/(b*cos(d*x+c))^(5/2)+2/21*(5*A+7*C)*sin(d*x+c)/b/d/(b*cos(d*x+c))^(3/2)+6/5*B*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(7/2),x,8,-2/5*(3*A+5*C)*sqrt(b*cos(d*x+c))*EllipticE(sin(1/2*d*x+1/2*c),sqrt(2))/b^4/d/sqrt(cos(d*x+c))+2/3*B*sqrt(cos(d*x+c))*InverseJacobiAM(1/2*d*x+1/2*c,sqrt(2))/b^3/d/sqrt(b*cos(d*x+c))+2/5*A*sin(d*x+c)/b/d/(b*cos(d*x+c))^(5/2)+2/3*B*sin(d*x+c)/b^2/d/(b*cos(d*x+c))^(3/2)+2/5*(3*A+5*C)*sin(d*x+c)/b^3/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,8,3/8*B*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/5*(5*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+3/8*B*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/4*B*cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/5*C*cos(d*x+c)^(7/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d-1/15*(5*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c)),1],
[cos(d*x+c)^(3/2)*sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,7,1/8*(4*A+3*C)*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+1/8*(4*A+3*C)*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/4*C*cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d-1/3*B*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c)),1],
[sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,3,1/2*B*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/3*(3*A+2*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+1/2*B*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/3*C*cos(d*x+c)^(3/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(cos(d*x+c)),x,5,A*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/2*C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+1/2*C*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x,4,B*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+A*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c)),1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x,4,C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+B*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+A*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x,6,1/2*(A+2*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/2*A*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2)+B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x,7,1/2*B*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/3*A*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(7/2)+1/2*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2)+1/3*(2*A+3*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[sqrt(b*cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(11/2),x,7,1/8*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/4*A*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(9/2)+1/8*(3*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2)+B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2)+1/3*B*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/cos(d*x+c)^(7/2),1],
[cos(d*x+c)^(3/2)*(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,8,3/8*b*B*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/5*b*(5*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+3/8*b*B*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/4*b*B*cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/5*b*C*cos(d*x+c)^(7/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d-1/15*b*(5*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c)),1],
[sqrt(cos(d*x+c))*(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,7,1/8*b*(4*A+3*C)*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+b*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+1/8*b*(4*A+3*C)*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/4*b*C*cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d-1/3*b*B*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c)),1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(cos(d*x+c)),x,3,1/2*b*B*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/3*b*(3*A+2*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+1/2*b*B*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/3*b*C*cos(d*x+c)^(3/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x,5,A*b*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/2*b*C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+b*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+1/2*b*C*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x,4,b*B*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+A*b*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+b*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c)),1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x,4,b*C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+b*B*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+A*b*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x,6,1/2*b*(A+2*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/2*A*b*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2)+b*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(11/2),x,7,1/2*b*B*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/3*A*b*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(7/2)+1/2*b*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2)+1/3*b*(2*A+3*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[(b*cos(d*x+c))^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(13/2),x,7,1/8*b*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/4*A*b*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(9/2)+1/8*b*(3*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2)+b*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2)+1/3*b*B*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/cos(d*x+c)^(7/2),1],
[sqrt(cos(d*x+c))*(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,8,3/8*b^2*B*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/5*b^2*(5*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+3/8*b^2*B*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/4*b^2*B*cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/5*b^2*C*cos(d*x+c)^(7/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d-1/15*b^2*(5*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(cos(d*x+c)),x,7,1/8*b^2*(4*A+3*C)*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+b^2*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+1/8*b^2*(4*A+3*C)*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/4*b^2*C*cos(d*x+c)^(5/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d-1/3*b^2*B*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/sqrt(cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x,3,1/2*b^2*B*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/3*b^2*(3*A+2*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+1/2*b^2*B*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d+1/3*b^2*C*cos(d*x+c)^(3/2)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x,5,A*b^2*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+1/2*b^2*C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+b^2*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c))+1/2*b^2*C*sqrt(cos(d*x+c))*sqrt(b*cos(d*x+c))*sin(d*x+c)/d,1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x,4,b^2*B*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+A*b^2*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+b^2*C*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/sqrt(cos(d*x+c)),1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2),x,4,b^2*C*x*sqrt(b*cos(d*x+c))/sqrt(cos(d*x+c))+b^2*B*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+A*b^2*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(11/2),x,6,1/2*b^2*(A+2*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/2*A*b^2*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2)+b^2*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(13/2),x,7,1/2*b^2*B*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/3*A*b^2*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(7/2)+1/2*b^2*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2)+1/3*b^2*(2*A+3*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2),1],
[(b*cos(d*x+c))^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(15/2),x,7,1/8*b^2*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(b*cos(d*x+c))/d/sqrt(cos(d*x+c))+1/4*A*b^2*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(9/2)+1/8*b^2*(3*A+4*C)*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(5/2)+b^2*B*sqrt(b*cos(d*x+c))*sin(d*x+c)/d/cos(d*x+c)^(3/2)+1/3*b^2*B*sqrt(b*cos(d*x+c))*sin(d*x+c)^3/d/cos(d*x+c)^(7/2),1],
[cos(d*x+c)^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,7,1/8*(4*A+3*C)*x*sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+B*sqrt(cos(d*x+c))*sin(d*x+c)/d/sqrt(b*cos(d*x+c))+1/8*(4*A+3*C)*cos(d*x+c)^(3/2)*sin(d*x+c)/d/sqrt(b*cos(d*x+c))+1/4*C*cos(d*x+c)^(7/2)*sin(d*x+c)/d/sqrt(b*cos(d*x+c))-1/3*B*sqrt(cos(d*x+c))*sin(d*x+c)^3/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,3,1/2*B*x*sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+1/3*(3*A+2*C)*sqrt(cos(d*x+c))*sin(d*x+c)/d/sqrt(b*cos(d*x+c))+1/2*B*cos(d*x+c)^(3/2)*sin(d*x+c)/d/sqrt(b*cos(d*x+c))+1/3*C*cos(d*x+c)^(5/2)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[sqrt(cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(b*cos(d*x+c)),x,5,A*x*sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+1/2*C*x*sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+B*sqrt(cos(d*x+c))*sin(d*x+c)/d/sqrt(b*cos(d*x+c))+1/2*C*cos(d*x+c)^(3/2)*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),x,4,B*x*sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+A*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/d/sqrt(b*cos(d*x+c))+C*sqrt(cos(d*x+c))*sin(d*x+c)/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c)),x,4,C*x*sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+B*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/d/sqrt(b*cos(d*x+c))+A*sin(d*x+c)/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c)),x,6,1/2*(A+2*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/d/sqrt(b*cos(d*x+c))+1/2*A*sin(d*x+c)/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c))+B*sin(d*x+c)/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/sqrt(b*cos(d*x+c)),x,7,1/2*B*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/d/sqrt(b*cos(d*x+c))+1/3*A*sin(d*x+c)/d/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c))+1/2*B*sin(d*x+c)/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c))+1/3*(2*A+3*C)*sin(d*x+c)/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2)/sqrt(b*cos(d*x+c)),x,7,1/8*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/d/sqrt(b*cos(d*x+c))+1/4*A*sin(d*x+c)/d/cos(d*x+c)^(7/2)/sqrt(b*cos(d*x+c))+1/8*(3*A+4*C)*sin(d*x+c)/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c))+B*sin(d*x+c)/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+1/3*B*sin(d*x+c)^3/d/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(7/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,7,1/8*(4*A+3*C)*x*sqrt(cos(d*x+c))/b/sqrt(b*cos(d*x+c))+B*sqrt(cos(d*x+c))*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c))+1/8*(4*A+3*C)*cos(d*x+c)^(3/2)*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c))+1/4*C*cos(d*x+c)^(7/2)*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c))-1/3*B*sqrt(cos(d*x+c))*sin(d*x+c)^3/b/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,3,1/2*B*x*sqrt(cos(d*x+c))/b/sqrt(b*cos(d*x+c))+1/3*(3*A+2*C)*sqrt(cos(d*x+c))*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c))+1/2*B*cos(d*x+c)^(3/2)*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c))+1/3*C*cos(d*x+c)^(5/2)*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,5,A*x*sqrt(cos(d*x+c))/b/sqrt(b*cos(d*x+c))+1/2*C*x*sqrt(cos(d*x+c))/b/sqrt(b*cos(d*x+c))+B*sqrt(cos(d*x+c))*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c))+1/2*C*cos(d*x+c)^(3/2)*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[sqrt(cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(3/2),x,4,B*x*sqrt(cos(d*x+c))/b/sqrt(b*cos(d*x+c))+A*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b/d/sqrt(b*cos(d*x+c))+C*sqrt(cos(d*x+c))*sin(d*x+c)/b/d/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(cos(d*x+c))/(b*cos(d*x+c))^(3/2),x,4,C*x*sqrt(cos(d*x+c))/b/sqrt(b*cos(d*x+c))+B*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b/d/sqrt(b*cos(d*x+c))+A*sin(d*x+c)/b/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(3/2),x,6,1/2*(A+2*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b/d/sqrt(b*cos(d*x+c))+1/2*A*sin(d*x+c)/b/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c))+B*sin(d*x+c)/b/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(3/2),x,7,1/2*B*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b/d/sqrt(b*cos(d*x+c))+1/3*A*sin(d*x+c)/b/d/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c))+1/2*B*sin(d*x+c)/b/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c))+1/3*(2*A+3*C)*sin(d*x+c)/b/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(3/2),x,7,1/8*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b/d/sqrt(b*cos(d*x+c))+1/4*A*sin(d*x+c)/b/d/cos(d*x+c)^(7/2)/sqrt(b*cos(d*x+c))+1/8*(3*A+4*C)*sin(d*x+c)/b/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c))+B*sin(d*x+c)/b/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+1/3*B*sin(d*x+c)^3/b/d/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(9/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,7,1/8*(4*A+3*C)*x*sqrt(cos(d*x+c))/b^2/sqrt(b*cos(d*x+c))+B*sqrt(cos(d*x+c))*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c))+1/8*(4*A+3*C)*cos(d*x+c)^(3/2)*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c))+1/4*C*cos(d*x+c)^(7/2)*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c))-1/3*B*sqrt(cos(d*x+c))*sin(d*x+c)^3/b^2/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(7/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,3,1/2*B*x*sqrt(cos(d*x+c))/b^2/sqrt(b*cos(d*x+c))+1/3*(3*A+2*C)*sqrt(cos(d*x+c))*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c))+1/2*B*cos(d*x+c)^(3/2)*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c))+1/3*C*cos(d*x+c)^(5/2)*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,5,A*x*sqrt(cos(d*x+c))/b^2/sqrt(b*cos(d*x+c))+1/2*C*x*sqrt(cos(d*x+c))/b^2/sqrt(b*cos(d*x+c))+B*sqrt(cos(d*x+c))*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c))+1/2*C*cos(d*x+c)^(3/2)*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,4,B*x*sqrt(cos(d*x+c))/b^2/sqrt(b*cos(d*x+c))+A*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b^2/d/sqrt(b*cos(d*x+c))+C*sqrt(cos(d*x+c))*sin(d*x+c)/b^2/d/sqrt(b*cos(d*x+c)),1],
[sqrt(cos(d*x+c))*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x,4,C*x*sqrt(cos(d*x+c))/b^2/sqrt(b*cos(d*x+c))+B*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b^2/d/sqrt(b*cos(d*x+c))+A*sin(d*x+c)/b^2/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(cos(d*x+c))/(b*cos(d*x+c))^(5/2),x,6,1/2*(A+2*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b^2/d/sqrt(b*cos(d*x+c))+1/2*A*sin(d*x+c)/b^2/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c))+B*sin(d*x+c)/b^2/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(5/2),x,7,1/2*B*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b^2/d/sqrt(b*cos(d*x+c))+1/3*A*sin(d*x+c)/b^2/d/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c))+1/2*B*sin(d*x+c)/b^2/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c))+1/3*(2*A+3*C)*sin(d*x+c)/b^2/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c)),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(5/2),x,7,1/8*(3*A+4*C)*arctanh(sin(d*x+c))*sqrt(cos(d*x+c))/b^2/d/sqrt(b*cos(d*x+c))+1/4*A*sin(d*x+c)/b^2/d/cos(d*x+c)^(7/2)/sqrt(b*cos(d*x+c))+1/8*(3*A+4*C)*sin(d*x+c)/b^2/d/cos(d*x+c)^(3/2)/sqrt(b*cos(d*x+c))+B*sin(d*x+c)/b^2/d/sqrt(cos(d*x+c))/sqrt(b*cos(d*x+c))+1/3*B*sin(d*x+c)^3/b^2/d/cos(d*x+c)^(5/2)/sqrt(b*cos(d*x+c)),1],
[cos(d*x+c)*(b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,3/11*C*(b*cos(d*x+c))^(8/3)*sin(d*x+c)/b^2/d-3/88*(11*A+8*C)*(b*cos(d*x+c))^(8/3)*hypergeom([1/2, 4/3],[7/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2)-3/11*B*(b*cos(d*x+c))^(11/3)*hypergeom([1/2, 11/6],[17/6],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,4,3/8*C*(b*cos(d*x+c))^(5/3)*sin(d*x+c)/b/d-3/40*(8*A+5*C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2)-3/8*B*(b*cos(d*x+c))^(8/3)*hypergeom([1/2, 4/3],[7/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x,5,3/5*C*(b*cos(d*x+c))^(2/3)*sin(d*x+c)/d-3/10*(5*A+2*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2)-3/5*B*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,5,3*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(1/3)-3/2*B*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2)+3/5*(2*A-C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,5,3/4*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(4/3)+3*b*B*hypergeom([-1/6, 1/2],[5/6],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2)-3/8*(A+4*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,5,3/7*A*b^3*sin(d*x+c)/d/(b*cos(d*x+c))^(7/3)+3/4*b^2*B*hypergeom([-2/3, 1/2],[1/3],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(4/3)/sqrt(sin(d*x+c)^2)+3/7*b*(4*A+7*C)*hypergeom([-1/6, 1/2],[5/6],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,3/13*C*(b*cos(d*x+c))^(10/3)*sin(d*x+c)/b^2/d-3/130*(13*A+10*C)*(b*cos(d*x+c))^(10/3)*hypergeom([1/2, 5/3],[8/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2)-3/13*B*(b*cos(d*x+c))^(13/3)*hypergeom([1/2, 13/6],[19/6],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,4,3/10*C*(b*cos(d*x+c))^(7/3)*sin(d*x+c)/b/d-3/70*(10*A+7*C)*(b*cos(d*x+c))^(7/3)*hypergeom([1/2, 7/6],[13/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2)-3/10*B*(b*cos(d*x+c))^(10/3)*hypergeom([1/2, 5/3],[8/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x,5,3/7*C*(b*cos(d*x+c))^(4/3)*sin(d*x+c)/d-3/28*(7*A+4*C)*(b*cos(d*x+c))^(4/3)*hypergeom([1/2, 2/3],[5/3],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2)-3/7*B*(b*cos(d*x+c))^(7/3)*hypergeom([1/2, 7/6],[13/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,5,3/4*b*C*(b*cos(d*x+c))^(1/3)*sin(d*x+c)/d-3/4*b*(4*A+C)*(b*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[7/6],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2)-3/4*B*(b*cos(d*x+c))^(4/3)*hypergeom([1/2, 2/3],[5/3],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,5,3/2*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(2/3)-3*b*B*(b*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[7/6],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2)+3/8*(A-2*C)*(b*cos(d*x+c))^(4/3)*hypergeom([1/2, 2/3],[5/3],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,5,3/5*A*b^3*sin(d*x+c)/d/(b*cos(d*x+c))^(5/3)+3/2*b^2*B*hypergeom([-1/3, 1/2],[2/3],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(2/3)/sqrt(sin(d*x+c)^2)-3/5*b*(2*A+5*C)*(b*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[7/6],cos(d*x+c)^2)*sin(d*x+c)/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x,5,3/11*C*(b*cos(d*x+c))^(8/3)*sin(d*x+c)/b^3/d-3/88*(11*A+8*C)*(b*cos(d*x+c))^(8/3)*hypergeom([1/2, 4/3],[7/3],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2)-3/11*B*(b*cos(d*x+c))^(11/3)*hypergeom([1/2, 11/6],[17/6],cos(d*x+c)^2)*sin(d*x+c)/b^4/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x,5,3/8*C*(b*cos(d*x+c))^(5/3)*sin(d*x+c)/b^2/d-3/40*(8*A+5*C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2)-3/8*B*(b*cos(d*x+c))^(8/3)*hypergeom([1/2, 4/3],[7/3],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x,4,3/5*C*(b*cos(d*x+c))^(2/3)*sin(d*x+c)/b/d-3/10*(5*A+2*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2)-3/5*B*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(1/3),x,5,3*A*sin(d*x+c)/d/(b*cos(d*x+c))^(1/3)-3/2*B*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2)+3/5*(2*A-C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(1/3),x,5,3/4*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(4/3)+3*B*hypergeom([-1/6, 1/2],[5/6],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2)-3/8*(A+4*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/b/d/sqrt(sin(d*x+c)^2),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3/(b*cos(d*x+c))^(1/3),x,5,3/7*A*b^2*sin(d*x+c)/d/(b*cos(d*x+c))^(7/3)+3/4*b*B*hypergeom([-2/3, 1/2],[1/3],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(4/3)/sqrt(sin(d*x+c)^2)+3/7*(4*A+7*C)*hypergeom([-1/6, 1/2],[5/6],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x,5,3/11*C*(b*cos(d*x+c))^(8/3)*sin(d*x+c)/b^4/d-3/88*(11*A+8*C)*(b*cos(d*x+c))^(8/3)*hypergeom([1/2, 4/3],[7/3],cos(d*x+c)^2)*sin(d*x+c)/b^4/d/sqrt(sin(d*x+c)^2)-3/11*B*(b*cos(d*x+c))^(11/3)*hypergeom([1/2, 11/6],[17/6],cos(d*x+c)^2)*sin(d*x+c)/b^5/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x,5,3/8*C*(b*cos(d*x+c))^(5/3)*sin(d*x+c)/b^3/d-3/40*(8*A+5*C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2)-3/8*B*(b*cos(d*x+c))^(8/3)*hypergeom([1/2, 4/3],[7/3],cos(d*x+c)^2)*sin(d*x+c)/b^4/d/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x,5,3/5*C*(b*cos(d*x+c))^(2/3)*sin(d*x+c)/b^2/d-3/10*(5*A+2*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2)-3/5*B*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x,4,3*A*sin(d*x+c)/b/d/(b*cos(d*x+c))^(1/3)-3/2*B*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2)+3/5*(2*A-C)*(b*cos(d*x+c))^(5/3)*hypergeom([1/2, 5/6],[11/6],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/sqrt(sin(d*x+c)^2),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(b*cos(d*x+c))^(4/3),x,5,3/4*A*sin(d*x+c)/d/(b*cos(d*x+c))^(4/3)+3*B*hypergeom([-1/6, 1/2],[5/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2)-3/8*(A+4*C)*(b*cos(d*x+c))^(2/3)*hypergeom([1/3, 1/2],[4/3],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/sqrt(sin(d*x+c)^2),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(b*cos(d*x+c))^(4/3),x,5,3/7*A*b*sin(d*x+c)/d/(b*cos(d*x+c))^(7/3)+3/4*B*hypergeom([-2/3, 1/2],[1/3],cos(d*x+c)^2)*sin(d*x+c)/d/(b*cos(d*x+c))^(4/3)/sqrt(sin(d*x+c)^2)+3/7*(4*A+7*C)*hypergeom([-1/6, 1/2],[5/6],cos(d*x+c)^2)*sin(d*x+c)/b/d/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(b*cos(d*x+c))^(4/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,3*b*C*cos(d*x+c)^(2+m)*(b*cos(d*x+c))^(1/3)*sin(d*x+c)/d/(10+3*m)-3*b*(C*(7+3*m)+A*(10+3*m))*cos(d*x+c)^(2+m)*(b*cos(d*x+c))^(1/3)*hypergeom([1/2, 7/6+1/2*m],[13/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(7+3*m)/(10+3*m)/sqrt(sin(d*x+c)^2)-3*b*B*cos(d*x+c)^(3+m)*(b*cos(d*x+c))^(1/3)*hypergeom([1/2, 5/3+1/2*m],[8/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(10+3*m)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,3*C*cos(d*x+c)^(1+m)*(b*cos(d*x+c))^(2/3)*sin(d*x+c)/d/(8+3*m)-3*(C*(5+3*m)+A*(8+3*m))*cos(d*x+c)^(1+m)*(b*cos(d*x+c))^(2/3)*hypergeom([1/2, 5/6+1/2*m],[11/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(5+3*m)/(8+3*m)/sqrt(sin(d*x+c)^2)-3*B*cos(d*x+c)^(2+m)*(b*cos(d*x+c))^(2/3)*hypergeom([1/2, 4/3+1/2*m],[7/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(8+3*m)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(b*cos(d*x+c))^(1/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,3*C*cos(d*x+c)^(1+m)*(b*cos(d*x+c))^(1/3)*sin(d*x+c)/d/(7+3*m)-3*(C*(4+3*m)+A*(7+3*m))*cos(d*x+c)^(1+m)*(b*cos(d*x+c))^(1/3)*hypergeom([1/2, 2/3+1/2*m],[5/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(4+3*m)/(7+3*m)/sqrt(sin(d*x+c)^2)-3*B*cos(d*x+c)^(2+m)*(b*cos(d*x+c))^(1/3)*hypergeom([1/2, 7/6+1/2*m],[13/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(7+3*m)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(1/3),x,5,3*C*cos(d*x+c)^(1+m)*sin(d*x+c)/d/(5+3*m)/(b*cos(d*x+c))^(1/3)-3*(C*(2+3*m)+A*(5+3*m))*cos(d*x+c)^(1+m)*hypergeom([1/2, 1/3+1/2*m],[4/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(2+3*m)/(5+3*m)/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2)-3*B*cos(d*x+c)^(2+m)*hypergeom([1/2, 5/6+1/2*m],[11/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(5+3*m)/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(2/3),x,5,3*C*cos(d*x+c)^(1+m)*sin(d*x+c)/d/(4+3*m)/(b*cos(d*x+c))^(2/3)-3*(C+3*C*m+A*(4+3*m))*cos(d*x+c)^(1+m)*hypergeom([1/2, 1/6+1/2*m],[7/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(1+3*m)/(4+3*m)/(b*cos(d*x+c))^(2/3)/sqrt(sin(d*x+c)^2)-3*B*cos(d*x+c)^(2+m)*hypergeom([1/2, 2/3+1/2*m],[5/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/d/(4+3*m)/(b*cos(d*x+c))^(2/3)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^m*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(4/3),x,5,3*C*cos(d*x+c)^m*sin(d*x+c)/b/d/(2+3*m)/(b*cos(d*x+c))^(1/3)-3*(C*(1-3*m)-A*(2+3*m))*cos(d*x+c)^m*hypergeom([1/2, -1/6+1/2*m],[5/6+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/b/d/(1-3*m)/(2+3*m)/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2)-3*B*cos(d*x+c)^(1+m)*hypergeom([1/2, 1/3+1/2*m],[4/3+1/2*m],cos(d*x+c)^2)*sin(d*x+c)/b/d/(2+3*m)/(b*cos(d*x+c))^(1/3)/sqrt(sin(d*x+c)^2),1],
[(a*cos(d*x+c))^m*(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,C*(a*cos(d*x+c))^(1+m)*(b*cos(d*x+c))^n*sin(d*x+c)/a/d/(2+m+n)-(C*(1+m+n)+A*(2+m+n))*(a*cos(d*x+c))^(1+m)*(b*cos(d*x+c))^n*hypergeom([1/2, 1/2+1/2*m+1/2*n],[3/2+1/2*m+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/a/d/(1+m+n)/(2+m+n)/sqrt(sin(d*x+c)^2)-B*(a*cos(d*x+c))^(2+m)*(b*cos(d*x+c))^n*hypergeom([1/2, 1+1/2*m+1/2*n],[2+1/2*m+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/a^2/d/(2+m+n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^2*(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,C*(b*cos(d*x+c))^(3+n)*sin(d*x+c)/b^3/d/(4+n)-(C*(3+n)+A*(4+n))*(b*cos(d*x+c))^(3+n)*hypergeom([1/2, 3/2+1/2*n],[5/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/(3+n)/(4+n)/sqrt(sin(d*x+c)^2)-B*(b*cos(d*x+c))^(4+n)*hypergeom([1/2, 2+1/2*n],[3+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^4/d/(4+n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)*(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,C*(b*cos(d*x+c))^(2+n)*sin(d*x+c)/b^2/d/(3+n)-(C*(2+n)+A*(3+n))*(b*cos(d*x+c))^(2+n)*hypergeom([1/2, 1+1/2*n],[2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/(2+n)/(3+n)/sqrt(sin(d*x+c)^2)-B*(b*cos(d*x+c))^(3+n)*hypergeom([1/2, 3/2+1/2*n],[5/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^3/d/(3+n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,4,C*(b*cos(d*x+c))^(1+n)*sin(d*x+c)/b/d/(2+n)-(C*(1+n)+A*(2+n))*(b*cos(d*x+c))^(1+n)*hypergeom([1/2, 1/2+1/2*n],[3/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b/d/(1+n)/(2+n)/sqrt(sin(d*x+c)^2)-B*(b*cos(d*x+c))^(2+n)*hypergeom([1/2, 1+1/2*n],[2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b^2/d/(2+n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c),x,5,C*(b*cos(d*x+c))^n*sin(d*x+c)/d/(1+n)-(A*n+C*n+A)*(b*cos(d*x+c))^n*hypergeom([1/2, 1/2*n],[1+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/n/(1+n)/sqrt(sin(d*x+c)^2)-B*(b*cos(d*x+c))^(1+n)*hypergeom([1/2, 1/2+1/2*n],[3/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/b/d/(1+n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2,x,5,b*C*(b*cos(d*x+c))^(-1+n)*sin(d*x+c)/d/n-b*(C*(1-n)-A*n)*(b*cos(d*x+c))^(-1+n)*hypergeom([1/2, -1/2+1/2*n],[1/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-n)/n/sqrt(sin(d*x+c)^2)-B*(b*cos(d*x+c))^n*hypergeom([1/2, 1/2*n],[1+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/n/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3,x,5,-b^2*C*(b*cos(d*x+c))^(-2+n)*sin(d*x+c)/d/(1-n)+b^2*(A*(1-n)+C*(2-n))*(b*cos(d*x+c))^(-2+n)*hypergeom([1/2, -1+1/2*n],[1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-n)/(2-n)/sqrt(sin(d*x+c)^2)+b*B*(b*cos(d*x+c))^(-1+n)*hypergeom([1/2, -1/2+1/2*n],[1/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4,x,5,-b^3*C*(b*cos(d*x+c))^(-3+n)*sin(d*x+c)/d/(2-n)+b^3*(A*(2-n)+C*(3-n))*(b*cos(d*x+c))^(-3+n)*hypergeom([1/2, -3/2+1/2*n],[-1/2+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(2-n)/(3-n)/sqrt(sin(d*x+c)^2)+b^2*B*(b*cos(d*x+c))^(-2+n)*hypergeom([1/2, -1+1/2*n],[1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(2-n)/sqrt(sin(d*x+c)^2),1],
[cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,2*C*cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*sin(d*x+c)/d/(7+2*n)-2*(C*(5+2*n)+A*(7+2*n))*cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 5/4+1/2*n],[9/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(5+2*n)/(7+2*n)/sqrt(sin(d*x+c)^2)-2*B*cos(d*x+c)^(7/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 7/4+1/2*n],[11/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(7+2*n)/sqrt(sin(d*x+c)^2),1],
[sqrt(cos(d*x+c))*(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,5,2*C*cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*sin(d*x+c)/d/(5+2*n)-2*(C*(3+2*n)+A*(5+2*n))*cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 3/4+1/2*n],[7/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(3+2*n)/(5+2*n)/sqrt(sin(d*x+c)^2)-2*B*cos(d*x+c)^(5/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 5/4+1/2*n],[9/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(5+2*n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/sqrt(cos(d*x+c)),x,5,2*C*sqrt(cos(d*x+c))*(b*cos(d*x+c))^n*sin(d*x+c)/d/(3+2*n)-2*(C+2*C*n+A*(3+2*n))*sqrt(cos(d*x+c))*(b*cos(d*x+c))^n*hypergeom([1/2, 1/4+1/2*n],[5/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1+2*n)/(3+2*n)/sqrt(sin(d*x+c)^2)-2*B*cos(d*x+c)^(3/2)*(b*cos(d*x+c))^n*hypergeom([1/2, 3/4+1/2*n],[7/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(3+2*n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2),x,5,2*C*(b*cos(d*x+c))^n*sin(d*x+c)/d/(1+2*n)/sqrt(cos(d*x+c))+2*(A-C*(1-2*n)+2*A*n)*(b*cos(d*x+c))^n*hypergeom([1/2, -1/4+1/2*n],[3/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(-4*n^2+1)/sqrt(cos(d*x+c))/sqrt(sin(d*x+c)^2)-2*B*sqrt(cos(d*x+c))*(b*cos(d*x+c))^n*hypergeom([1/2, 1/4+1/2*n],[5/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1+2*n)/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2),x,5,-2*C*(b*cos(d*x+c))^n*sin(d*x+c)/d/(1-2*n)/cos(d*x+c)^(3/2)+2*(A+C*(3-2*n)-2*A*n)*(b*cos(d*x+c))^n*hypergeom([1/2, -3/4+1/2*n],[1/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-2*n)/(3-2*n)/cos(d*x+c)^(3/2)/sqrt(sin(d*x+c)^2)+2*B*(b*cos(d*x+c))^n*hypergeom([1/2, -1/4+1/2*n],[3/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(1-2*n)/sqrt(cos(d*x+c))/sqrt(sin(d*x+c)^2),1],
[(b*cos(d*x+c))^n*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2),x,5,-2*C*(b*cos(d*x+c))^n*sin(d*x+c)/d/(3-2*n)/cos(d*x+c)^(5/2)+2*(A*(3-2*n)+C*(5-2*n))*(b*cos(d*x+c))^n*hypergeom([1/2, -5/4+1/2*n],[-1/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(3-2*n)/(5-2*n)/cos(d*x+c)^(5/2)/sqrt(sin(d*x+c)^2)+2*B*(b*cos(d*x+c))^n*hypergeom([1/2, -3/4+1/2*n],[1/4+1/2*n],cos(d*x+c)^2)*sin(d*x+c)/d/(3-2*n)/cos(d*x+c)^(3/2)/sqrt(sin(d*x+c)^2),1],
[(a+a*cos(f*x+e))^m*(A+B*cos(f*x+e)+C*cos(f*x+e)^2),x,4,-(C-B*(2+m))*(a+a*cos(f*x+e))^m*sin(f*x+e)/f/(1+m)/(2+m)+C*(a+a*cos(f*x+e))^(1+m)*sin(f*x+e)/a/f/(2+m)+2^(1/2+m)*(B*m*(2+m)+C*(m^2+m+1)+A*(m^2+3*m+2))*(1+cos(f*x+e))^(-1/2-m)*(a+a*cos(f*x+e))^m*hypergeom([1/2, 1/2-m],[3/2],1/2-1/2*cos(f*x+e))*sin(f*x+e)/f/(1+m)/(2+m),1],
[(a+a*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,4,3/40*(8*B-3*C)*(a+a*cos(d*x+c))^(2/3)*sin(d*x+c)/d+3/8*C*(a+a*cos(d*x+c))^(5/3)*sin(d*x+c)/a/d+1/20*(40*A+16*B+19*C)*(a+a*cos(d*x+c))^(2/3)*hypergeom([-1/6, 1/2],[3/2],1/2-1/2*cos(d*x+c))*sin(d*x+c)*2^(1/6)/d/(1+cos(d*x+c))^(7/6),1],
[(a+a*cos(d*x+c))^(1/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,4,3/28*(7*B-3*C)*(a+a*cos(d*x+c))^(1/3)*sin(d*x+c)/d+3/7*C*(a+a*cos(d*x+c))^(4/3)*sin(d*x+c)/a/d+1/28*(28*A+7*B+13*C)*(a+a*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[3/2],1/2-1/2*cos(d*x+c))*sin(d*x+c)*2^(5/6)/d/(1+cos(d*x+c))^(5/6),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(1/3),x,4,3/10*(5*B-3*C)*sin(d*x+c)/d/(a+a*cos(d*x+c))^(1/3)+3/5*C*(a+a*cos(d*x+c))^(2/3)*sin(d*x+c)/a/d+1/10*(10*A-5*B+7*C)*hypergeom([1/2, 5/6],[3/2],1/2-1/2*cos(d*x+c))*sin(d*x+c)*2^(1/6)/d/(1+cos(d*x+c))^(1/6)/(a+a*cos(d*x+c))^(1/3),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(2/3),x,4,3*(A-B+C)*sin(d*x+c)/d/(a+a*cos(d*x+c))^(2/3)+3/4*C*(a+a*cos(d*x+c))^(1/3)*sin(d*x+c)/a/d-1/4*(4*A-8*B+7*C)*(a+a*cos(d*x+c))^(1/3)*hypergeom([1/6, 1/2],[3/2],1/2-1/2*cos(d*x+c))*sin(d*x+c)*2^(5/6)/a/d/(1+cos(d*x+c))^(5/6),1],
[(a+b*cos(d*x+c))^(2/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,6,3/8*C*(a+b*cos(d*x+c))^(5/3)*sin(d*x+c)/b/d+1/4*(8*B*b-3*C*a)*AppellF1(1/2,1/2,-5/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(5/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(5/3)+1/4*(8*A*b^2-8*B*a*b+3*C*a^2+5*C*b^2)*AppellF1(1/2,1/2,-2/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(2/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(2/3),1],
[(a+b*cos(d*x+c))^(1/3)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2),x,6,3/7*C*(a+b*cos(d*x+c))^(4/3)*sin(d*x+c)/b/d+1/7*sqrt(2)*(7*B*b-3*C*a)*AppellF1(1/2,1/2,-4/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(4/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(4/3)+1/7*sqrt(2)*(7*A*b^2-7*B*a*b+3*C*a^2+4*C*b^2)*AppellF1(1/2,1/2,-1/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(1/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(1/3),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(1/3),x,6,3/5*C*(a+b*cos(d*x+c))^(2/3)*sin(d*x+c)/b/d+1/5*sqrt(2)*(5*B*b-3*C*a)*AppellF1(1/2,1/2,-2/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(2/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(2/3)+1/5*sqrt(2)*(5*A*b^2-5*B*a*b+3*C*a^2+2*C*b^2)*AppellF1(1/2,1/2,1/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*((a+b*cos(d*x+c))/(a+b))^(1/3)*sin(d*x+c)/b^2/d/sqrt(1+cos(d*x+c))/(a+b*cos(d*x+c))^(1/3),1],
[(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+b*cos(d*x+c))^(2/3),x,6,3/4*C*(a+b*cos(d*x+c))^(1/3)*sin(d*x+c)/b/d+1/2*(4*B*b-3*C*a)*AppellF1(1/2,1/2,-1/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*(a+b*cos(d*x+c))^(1/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/((a+b*cos(d*x+c))/(a+b))^(1/3)+1/2*(4*A*b^2-4*B*a*b+3*C*a^2+C*b^2)*AppellF1(1/2,1/2,2/3,3/2,1/2-1/2*cos(d*x+c),b*(1-cos(d*x+c))/(a+b))*((a+b*cos(d*x+c))/(a+b))^(2/3)*sin(d*x+c)/sqrt(2)/b^2/d/sqrt(1+cos(d*x+c))/(a+b*cos(d*x+c))^(2/3),1],
[(a+b*cos(f*x+e))^m*(A+(A+C)*cos(f*x+e)+C*cos(f*x+e)^2),x,9,4*sqrt(2)*C*AppellF1(1/2,-3/2,-m,3/2,1/2-1/2*cos(f*x+e),b*(1-cos(f*x+e))/(a+b))*(a+b*cos(f*x+e))^m*sin(f*x+e)/f/sqrt(1+cos(f*x+e))/(((a+b*cos(f*x+e))/(a+b))^m)+2*sqrt(2)*(A-C)*AppellF1(1/2,-1/2,-m,3/2,1/2-1/2*cos(f*x+e),b*(1-cos(f*x+e))/(a+b))*(a+b*cos(f*x+e))^m*sin(f*x+e)/f/sqrt(1+cos(f*x+e))/(((a+b*cos(f*x+e))/(a+b))^m),1],
[(a+b*cos(f*x+e))^m*(A+B*cos(f*x+e)+C*cos(f*x+e)^2),x,6,C*(a+b*cos(f*x+e))^(1+m)*sin(f*x+e)/b/f/(2+m)-sqrt(2)*(a*C-b*B*(2+m))*AppellF1(1/2,1/2,-1-m,3/2,1/2-1/2*cos(f*x+e),b*(1-cos(f*x+e))/(a+b))*(a+b*cos(f*x+e))^(1+m)*((a+b*cos(f*x+e))/(a+b))^(-1-m)*sin(f*x+e)/b^2/f/(2+m)/sqrt(1+cos(f*x+e))+sqrt(2)*(a^2*C+b^2*C*(1+m)+A*b^2*(2+m)-a*b*B*(2+m))*AppellF1(1/2,1/2,-m,3/2,1/2-1/2*cos(f*x+e),b*(1-cos(f*x+e))/(a+b))*(a+b*cos(f*x+e))^m*sin(f*x+e)/b^2/f/(2+m)/sqrt(1+cos(f*x+e))/(((a+b*cos(f*x+e))/(a+b))^m),1]]: