lst:=[[(g*x+f)^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x)),x,16,-b*f^2*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)-2/15*b*g^3*x*sqrt(-c^2*d*x^2+d)/c^3/sqrt(-c^2*x^2+1)+1/4*b*c*f^3*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-3/16*b*f*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+1/3*b*c*f^2*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/45*b*g^3*x^3*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+3/16*b*c*f*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/25*b*c*g^3*x^5*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/2*f^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))-3/8*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2+3/4*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))-f^2*g*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/c^2/d-1/3*g^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/c^4/d+1/5*g^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/c^4/d^2-1/4*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*x^2+1)-3/16*f*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c^3/sqrt(-c^2*x^2+1),1],
[(g*x+f)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x)),x,13,-2/3*b*f*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+1/4*b*c*f^2*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/16*b*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+2/9*b*c*f*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/16*b*c*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/2*f^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))-1/8*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2+1/4*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))-2/3*f*g*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/c^2/d-1/4*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*x^2+1)-1/16*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c^3/sqrt(-c^2*x^2+1),1],
[(g*x+f)*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x)),x,8,-1/3*b*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+1/4*b*c*f*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/9*b*c*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/2*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))-1/3*g*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/c^2/d-1/4*f*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/(g*x+f),x,22,a*sqrt(-c^2*d*x^2+d)/g+b*c*x*sqrt(-c^2*d*x^2+d)/g/sqrt(-c^2*x^2+1)+b*sqrt(-c^2*d*x^2+d)*arccos(c*x)/g-1/2*c*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/g/sqrt(-c^2*x^2+1)+1/2*(1-c^2*f^2/g^2)*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/(g*x+f)/sqrt(-c^2*x^2+1)-1/2*sqrt(-c^2*x^2+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/(g*x+f)-a*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arctan((c^2*f*x+g)/sqrt(c^2*f^2-g^2)/sqrt(-c^2*x^2+1))/g^2/sqrt(-c^2*x^2+1)-I*b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arccos(c*x)*ln(1+exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)+I*b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arccos(c*x)*ln(1+exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)-b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)+b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/(g*x+f)^2,x,35,-a*sqrt(-c^2*d*x^2+d)/g/(g*x+f)-b*sqrt(-c^2*d*x^2+d)*arccos(c*x)/g/(g*x+f)+1/2*b*c^3*f^2*sqrt(-c^2*d*x^2+d)*arccos(c*x)^2/g^2/(c^2*f^2-g^2)/sqrt(-c^2*x^2+1)-1/2*(c^2*f*x+g)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/(c^2*f^2-g^2)/(g*x+f)^2/sqrt(-c^2*x^2+1)-1/2*sqrt(-c^2*x^2+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/(g*x+f)^2-a*c^3*f^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g^2/(c^2*f^2-g^2)/sqrt(-c^2*x^2+1)+a*c^2*f*sqrt(-c^2*d*x^2+d)*arctan((c^2*f*x+g)/sqrt(c^2*f^2-g^2)/sqrt(-c^2*x^2+1))/g^2/sqrt(c^2*f^2-g^2)/sqrt(-c^2*x^2+1)+I*b*c^2*f*sqrt(-c^2*d*x^2+d)*arccos(c*x)*ln(1+exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(c^2*f^2-g^2)/sqrt(-c^2*x^2+1)-I*b*c^2*f*sqrt(-c^2*d*x^2+d)*arccos(c*x)*ln(1+exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(c^2*f^2-g^2)/sqrt(-c^2*x^2+1)-b*c*sqrt(-c^2*d*x^2+d)*ln(g*x+f)/g^2/sqrt(-c^2*x^2+1)+b*c^2*f*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(c^2*f^2-g^2)/sqrt(-c^2*x^2+1)-b*c^2*f*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(c^2*f^2-g^2)/sqrt(-c^2*x^2+1),1],
[(g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x,24,-3/5*b*d*f^2*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)-2/35*b*d*g^3*x*sqrt(-c^2*d*x^2+d)/c^3/sqrt(-c^2*x^2+1)+3/16*b*c*d*f^3*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-3/32*b*d*f*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+2/5*b*c*d*f^2*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/105*b*d*g^3*x^3*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+7/32*b*c*d*f*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-3/25*b*c^3*d*f^2*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+8/175*b*c*d*g^3*x^5*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/12*b*c^3*d*f*g^2*x^6*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/49*b*c^3*d*g^3*x^7*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/16*b*d*f^3*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c+3/8*d*f^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))-3/16*d*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2+3/8*d*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))+1/4*f^3*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))+1/2*f*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))-3/5*f^2*g*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/c^2/d-1/5*g^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/c^4/d+1/7*g^3*(-c^2*d*x^2+d)^(7/2)*(a+b*arccos(c*x))/c^4/d^2-3/16*d*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*x^2+1)-3/32*d*f*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c^3/sqrt(-c^2*x^2+1),1],
[(g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x,20,-2/5*b*d*f*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+3/16*b*c*d*f^2*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/32*b*d*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+4/15*b*c*d*f*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+7/96*b*c*d*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-2/25*b*c^3*d*f*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/36*b*c^3*d*g^2*x^6*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/16*b*d*f^2*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c+3/8*d*f^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))-1/16*d*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2+1/8*d*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))+1/4*f^2*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))+1/6*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))-2/5*f*g*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/c^2/d-3/16*d*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*x^2+1)-1/32*d*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c^3/sqrt(-c^2*x^2+1),1],
[(g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x,11,-1/5*b*d*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+3/16*b*c*d*f*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+2/15*b*c*d*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/25*b*c^3*d*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/16*b*d*f*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c+3/8*d*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))+1/4*f*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))-1/5*g*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/c^2/d-3/16*d*f*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/(g*x+f),x,29,-a*d*(c*f-g)*(c*f+g)*sqrt(-c^2*d*x^2+d)/g^3+1/3*b*c*d*x*sqrt(-c^2*d*x^2+d)/g/sqrt(-c^2*x^2+1)-b*c*d*(c*f-g)*(c*f+g)*x*sqrt(-c^2*d*x^2+d)/g^3/sqrt(-c^2*x^2+1)+1/4*b*c^3*d*f*x^2*sqrt(-c^2*d*x^2+d)/g^2/sqrt(-c^2*x^2+1)-1/9*b*c^3*d*x^3*sqrt(-c^2*d*x^2+d)/g/sqrt(-c^2*x^2+1)-b*d*(c*f-g)*(c*f+g)*sqrt(-c^2*d*x^2+d)*arccos(c*x)/g^3+1/2*c^2*d*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/g^2+1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/g-1/4*c*d*f*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/g^2/sqrt(-c^2*x^2+1)+1/2*c*d*(c*f-g)*(c*f+g)*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/g^3/sqrt(-c^2*x^2+1)+1/2*d*(c^2*f^2-g^2)^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/g^4/(g*x+f)/sqrt(-c^2*x^2+1)+1/2*d*(c*f-g)*(c*f+g)*sqrt(-c^2*x^2+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/g^2/(g*x+f)+a*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*arctan((c^2*f*x+g)/sqrt(c^2*f^2-g^2)/sqrt(-c^2*x^2+1))/g^4/sqrt(-c^2*x^2+1)+I*b*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*arccos(c*x)*ln(1+exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)-I*b*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*arccos(c*x)*ln(1+exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)+b*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)-b*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1),1],
[(g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x,30,-3/7*b*d^2*f^2*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)-15/256*b*d^2*f*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+3/7*b*c*d^2*f^2*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+59/256*b*c*d^2*f*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-9/35*b*c^3*d^2*f^2*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-17/96*b*c^3*d^2*f*g^2*x^6*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+3/49*b*c^5*d^2*f^2*g*x^7*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+3/64*b*c^5*d^2*f*g^2*x^8*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-15/256*d^2*f*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c^3/sqrt(-c^2*x^2+1)-2/63*b*d^2*g^3*x*sqrt(-c^2*d*x^2+d)/c^3/sqrt(-c^2*x^2+1)+5/32*b*c*d^2*f^3*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-1/189*b*d^2*g^3*x^3*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+1/21*b*c*d^2*g^3*x^5*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-19/441*b*c^3*d^2*g^3*x^7*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/81*b*c^5*d^2*g^3*x^9*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-15/128*d^2*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2-5/32*d^2*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*x^2+1)-5/96*b*d^2*f^3*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c-1/36*b*d^2*f^3*(-c^2*x^2+1)^(5/2)*sqrt(-c^2*d*x^2+d)/c+5/16*d*f*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))-3/7*f^2*g*(-c^2*d*x^2+d)^(7/2)*(a+b*arccos(c*x))/c^2/d+15/64*d^2*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))+5/24*d*f^3*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))+3/8*f*g^2*x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))-1/7*g^3*(-c^2*d*x^2+d)^(7/2)*(a+b*arccos(c*x))/c^4/d+1/9*g^3*(-c^2*d*x^2+d)^(9/2)*(a+b*arccos(c*x))/c^4/d^2+5/16*d^2*f^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))+1/6*f^3*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),1],
[(g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x,26,-2/7*b*d^2*f*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+5/32*b*c*d^2*f^2*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-5/256*b*d^2*g^2*x^2*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+2/7*b*c*d^2*f*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+59/768*b*c*d^2*g^2*x^4*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-6/35*b*c^3*d^2*f*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-17/288*b*c^3*d^2*g^2*x^6*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+2/49*b*c^5*d^2*f*g*x^7*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/64*b*c^5*d^2*g^2*x^8*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-5/96*b*d^2*f^2*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c-1/36*b*d^2*f^2*(-c^2*x^2+1)^(5/2)*sqrt(-c^2*d*x^2+d)/c+5/16*d^2*f^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))-5/128*d^2*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2+5/64*d^2*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))+5/24*d*f^2*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))+5/48*d*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))+1/6*f^2*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))+1/8*g^2*x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))-2/7*f*g*(-c^2*d*x^2+d)^(7/2)*(a+b*arccos(c*x))/c^2/d-5/32*d^2*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*x^2+1)-5/256*d^2*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c^3/sqrt(-c^2*x^2+1),1],
[(g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x,13,-1/7*b*d^2*g*x*sqrt(-c^2*d*x^2+d)/c/sqrt(-c^2*x^2+1)+5/32*b*c*d^2*f*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/7*b*c*d^2*g*x^3*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-3/35*b*c^3*d^2*g*x^5*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/49*b*c^5*d^2*g*x^7*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)-5/96*b*d^2*f*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c-1/36*b*d^2*f*(-c^2*x^2+1)^(5/2)*sqrt(-c^2*d*x^2+d)/c+5/16*d^2*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))+5/24*d*f*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))+1/6*f*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))-1/7*g*(-c^2*d*x^2+d)^(7/2)*(a+b*arccos(c*x))/c^2/d-5/32*d^2*f*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/(g*x+f),x,37,-1/3*d*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/g+1/4*c*d^2*f*(c^2*f^2-2*g^2)*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/g^4/sqrt(-c^2*x^2+1)-1/2*c*d^2*(c^2*f^2-g^2)^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/g^5/sqrt(-c^2*x^2+1)-1/2*d^2*(c^2*f^2-g^2)^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/g^6/(g*x+f)/sqrt(-c^2*x^2+1)-1/2*d^2*(c^2*f^2-g^2)^2*sqrt(-c^2*x^2+1)*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/c/g^4/(g*x+f)+I*b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arccos(c*x)*ln(1+exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)-I*b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arccos(c*x)*ln(1+exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)-1/4*b*c^3*d^2*f*(c^2*f^2-2*g^2)*x^2*sqrt(-c^2*d*x^2+d)/g^4/sqrt(-c^2*x^2+1)+1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/g+a*d^2*(c^2*f^2-g^2)^2*sqrt(-c^2*d*x^2+d)/g^5-1/3*d*(c^2*f^2-2*g^2)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/g^3-1/2*c^2*d^2*f*(c^2*f^2-2*g^2)*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/g^4+1/16*c*d^2*f*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))^2/b/g^2/sqrt(-c^2*x^2+1)-1/3*b*c*d^2*(c^2*f^2-2*g^2)*x*sqrt(-c^2*d*x^2+d)/g^3/sqrt(-c^2*x^2+1)+b*c*d^2*(c^2*f^2-g^2)^2*x*sqrt(-c^2*d*x^2+d)/g^5/sqrt(-c^2*x^2+1)+1/16*b*c^3*d^2*f*x^2*sqrt(-c^2*d*x^2+d)/g^2/sqrt(-c^2*x^2+1)+1/9*b*c^3*d^2*(c^2*f^2-2*g^2)*x^3*sqrt(-c^2*d*x^2+d)/g^3/sqrt(-c^2*x^2+1)-1/16*b*c^5*d^2*f*x^4*sqrt(-c^2*d*x^2+d)/g^2/sqrt(-c^2*x^2+1)-2/15*b*c*d^2*x*sqrt(-c^2*d*x^2+d)/g/sqrt(-c^2*x^2+1)-1/45*b*c^3*d^2*x^3*sqrt(-c^2*d*x^2+d)/g/sqrt(-c^2*x^2+1)+1/25*b*c^5*d^2*x^5*sqrt(-c^2*d*x^2+d)/g/sqrt(-c^2*x^2+1)+b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)-b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*polylog(2,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)-a*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arctan((c^2*f*x+g)/sqrt(c^2*f^2-g^2)/sqrt(-c^2*x^2+1))/g^6/sqrt(-c^2*x^2+1)+1/8*c^2*d^2*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/g^2-1/4*c^4*d^2*f*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/g^2+b*d^2*(c^2*f^2-g^2)^2*sqrt(-c^2*d*x^2+d)*arccos(c*x)/g^5,1],
[(g*x+f)^3*(a+b*arccos(c*x))/sqrt(-c^2*d*x^2+d),x,13,-3*b*f^2*g*x*sqrt(-c^2*x^2+1)/c/sqrt(-c^2*d*x^2+d)-2/3*b*g^3*x*sqrt(-c^2*x^2+1)/c^3/sqrt(-c^2*d*x^2+d)-3/4*b*f*g^2*x^2*sqrt(-c^2*x^2+1)/c/sqrt(-c^2*d*x^2+d)-1/9*b*g^3*x^3*sqrt(-c^2*x^2+1)/c/sqrt(-c^2*d*x^2+d)-3*f^2*g*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2/d-2/3*g^3*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^4/d-3/2*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2/d-1/3*g^3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2/d-1/2*f^3*sqrt(-c^2*x^2+1)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*d*x^2+d)-3/4*f*g^2*sqrt(-c^2*x^2+1)*(a+b*arccos(c*x))^2/b/c^3/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^2*(a+b*arccos(c*x))/sqrt(-c^2*d*x^2+d),x,9,-2*b*f*g*x*sqrt(-c^2*x^2+1)/c/sqrt(-c^2*d*x^2+d)-1/4*b*g^2*x^2*sqrt(-c^2*x^2+1)/c/sqrt(-c^2*d*x^2+d)-2*f*g*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2/d-1/2*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2/d-1/2*f^2*sqrt(-c^2*x^2+1)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*d*x^2+d)-1/4*g^2*sqrt(-c^2*x^2+1)*(a+b*arccos(c*x))^2/b/c^3/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)*(a+b*arccos(c*x))/sqrt(-c^2*d*x^2+d),x,6,-b*g*x*sqrt(-c^2*x^2+1)/c/sqrt(-c^2*d*x^2+d)-g*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/c^2/d-1/2*f*sqrt(-c^2*x^2+1)*(a+b*arccos(c*x))^2/b/c/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccos(c*x))/(g*x+f)/sqrt(-c^2*d*x^2+d),x,10,I*sqrt(-c^2*x^2+1)*(a+b*arccos(c*x))*ln(1+exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)-I*sqrt(-c^2*x^2+1)*(a+b*arccos(c*x))*ln(1+exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)+b*sqrt(-c^2*x^2+1)*polylog(2,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)-b*sqrt(-c^2*x^2+1)*polylog(2,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccos(c*x))/(g*x+f)^2/sqrt(-c^2*d*x^2+d),x,13,g*sqrt(-c^2*d*x^2+d)*(a+b*arccos(c*x))/d/(c^2*f^2-g^2)/(g*x+f)+I*c^2*f*sqrt(-c^2*x^2+1)*(a+b*arccos(c*x))*ln(1+exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)-I*c^2*f*sqrt(-c^2*x^2+1)*(a+b*arccos(c*x))*ln(1+exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)+b*c*sqrt(-c^2*x^2+1)*ln(g*x+f)/(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)+b*c^2*f*sqrt(-c^2*x^2+1)*polylog(2,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)-b*c^2*f*sqrt(-c^2*x^2+1)*polylog(2,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d),1],
[(a+b*arccos(c*x))^n*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,0,Defer(Int)((a+b*arccos(c*x))^n*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x),0],
[(a+b*arccos(c*x))^2*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,13,-1/12*I*m*(a+b*arccos(c*x))^4/b^2/c+1/3*m*(a+b*arccos(c*x))^3*ln(1+exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/b/c+1/3*m*(a+b*arccos(c*x))^3*ln(1+exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/b/c-1/3*(a+b*arccos(c*x))^3*ln(h*(g*x+f)^m)/b/c-I*m*(a+b*arccos(c*x))^2*polylog(2,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c-I*m*(a+b*arccos(c*x))^2*polylog(2,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c+2*b*m*(a+b*arccos(c*x))*polylog(3,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c+2*b*m*(a+b*arccos(c*x))*polylog(3,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c+2*I*b^2*m*polylog(4,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c+2*I*b^2*m*polylog(4,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c,1],
[(a+b*arccos(c*x))*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,11,-1/6*I*m*(a+b*arccos(c*x))^3/b^2/c+1/2*m*(a+b*arccos(c*x))^2*ln(1+exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/b/c+1/2*m*(a+b*arccos(c*x))^2*ln(1+exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/b/c-1/2*(a+b*arccos(c*x))^2*ln(h*(g*x+f)^m)/b/c-I*m*(a+b*arccos(c*x))*polylog(2,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c-I*m*(a+b*arccos(c*x))*polylog(2,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c+b*m*polylog(3,-exp(I*arccos(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c+b*m*polylog(3,-exp(I*arccos(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c,1],
[ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,9,1/2*I*m*arcsin(c*x)^2/c-m*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c-m*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c+arcsin(c*x)*ln(h*(g*x+f)^m)/c+I*m*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c+I*m*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c,1],
[ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1)/(a+b*arccos(c*x)),x,0,Defer(Int)(ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1)/(a+b*arccos(c*x)),x),0]]: