lst:=[[(e*x+d)^3*(a+b*arcsin(c*x)),x,8,b*d*(c^2*d^2+e^2)*sqrt(-c^2*x^2+1)/c^3+3/32*b*e*(8*c^2*d^2+e^2)*x*sqrt(-c^2*x^2+1)/c^3+1/16*b*e^3*x^3*sqrt(-c^2*x^2+1)/c-1/3*b*d*e^2*(-c^2*x^2+1)^(3/2)/c^3-1/32*b*(8*c^4*d^4+24*c^2*d^2*e^2+3*e^4)*arcsin(c*x)/c^4/e+1/4*(e*x+d)^4*(a+b*arcsin(c*x))/e,1],
[(e*x+d)^2*(a+b*arcsin(c*x)),x,7,1/3*b*(3*c^2*d^2+e^2)*sqrt(-c^2*x^2+1)/c^3+1/2*b*d*e*x*sqrt(-c^2*x^2+1)/c-1/9*b*e^2*(-c^2*x^2+1)^(3/2)/c^3-1/6*b*d*(2*d^2+3*e^2/c^2)*arcsin(c*x)/e+1/3*(e*x+d)^3*(a+b*arcsin(c*x))/e,1],
[(e*x+d)*(a+b*arcsin(c*x)),x,5,b*d*sqrt(-c^2*x^2+1)/c+1/4*b*e*x*sqrt(-c^2*x^2+1)/c-1/4*b*(2*d^2+e^2/c^2)*arcsin(c*x)/e+1/2*(e*x+d)^2*(a+b*arcsin(c*x))/e,1],
[a+b*arcsin(c*x),x,3,a*x+b*sqrt(-c^2*x^2+1)/c+b*x*arcsin(c*x),1],
[(a+b*arcsin(c*x))/(e*x+d),x,8,-1/2*I*(a+b*arcsin(c*x))^2/b/e+(a+b*arcsin(c*x))*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+(a+b*arcsin(c*x))*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e-I*b*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e-I*b*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e,1],
[(a+b*arcsin(c*x))/(e*x+d)^2,x,3,-(a+b*arcsin(c*x))/e/(e*x+d)+b*c*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e/sqrt(c^2*d^2-e^2),1],
[(a+b*arcsin(c*x))/(e*x+d)^3,x,4,1/2*b*c*sqrt(-c^2*x^2+1)/(c^2*d^2-e^2)/(e*x+d)-1/2*(a+b*arcsin(c*x))/e/(e*x+d)^2+1/2*b*c^3*d*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e/(c^2*d^2-e^2)^(3/2),1],
[(a+b*arcsin(c*x))/(e*x+d)^4,x,5,1/6*b*c*sqrt(-c^2*x^2+1)/(c^2*d^2-e^2)/(e*x+d)^2+1/2*b*c^3*d*sqrt(-c^2*x^2+1)/(c^2*d^2-e^2)^2/(e*x+d)-1/3*(a+b*arcsin(c*x))/e/(e*x+d)^3+1/6*b*c^3*(2*c^2*d^2+e^2)*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e/(c^2*d^2-e^2)^(5/2),1],
[(e*x+d)^3*(a+b*arcsin(c*x))^2,x,18,-2*b^2*d^3*x-4/3*b^2*d*e^2*x/c^2-3/4*b^2*d^2*e*x^2-3/32*b^2*e^3*x^2/c^2-2/9*b^2*d*e^2*x^3-1/32*b^2*e^3*x^4+2*b*d^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+4/3*b*d*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+3/2*b*d^2*e*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+3/16*b*e^3*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+2/3*b*d*e^2*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+1/8*b*e^3*x^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c-1/4*d^4*(a+b*arcsin(c*x))^2/e-3/4*d^2*e*(a+b*arcsin(c*x))^2/c^2-3/32*e^3*(a+b*arcsin(c*x))^2/c^4+1/4*(e*x+d)^4*(a+b*arcsin(c*x))^2/e,1],
[(e*x+d)^2*(a+b*arcsin(c*x))^2,x,13,-2*b^2*d^2*x-4/9*b^2*e^2*x/c^2-1/2*b^2*d*e*x^2-2/27*b^2*e^2*x^3+2*b*d^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+4/9*b*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+b*d*e*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+2/9*b*e^2*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c-1/3*d^3*(a+b*arcsin(c*x))^2/e-1/2*d*e*(a+b*arcsin(c*x))^2/c^2+1/3*(e*x+d)^3*(a+b*arcsin(c*x))^2/e,1],
[(e*x+d)*(a+b*arcsin(c*x))^2,x,9,-2*b^2*d*x-1/4*b^2*e*x^2+2*b*d*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+1/2*b*e*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c-1/2*d^2*(a+b*arcsin(c*x))^2/e-1/4*e*(a+b*arcsin(c*x))^2/c^2+1/2*(e*x+d)^2*(a+b*arcsin(c*x))^2/e,1],
[(a+b*arcsin(c*x))^2,x,3,-2*b^2*x+2*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+x*(a+b*arcsin(c*x))^2,1],
[(a+b*arcsin(c*x))^2/(e*x+d),x,10,-1/3*I*(a+b*arcsin(c*x))^3/b/e+(a+b*arcsin(c*x))^2*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+(a+b*arcsin(c*x))^2*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e-2*I*b*(a+b*arcsin(c*x))*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e-2*I*b*(a+b*arcsin(c*x))*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e+2*b^2*polylog(3,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e+2*b^2*polylog(3,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e,1],
[(a+b*arcsin(c*x))^2/(e*x+d)^2,x,10,-(a+b*arcsin(c*x))^2/e/(e*x+d)-2*I*b*c*(a+b*arcsin(c*x))*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2)+2*I*b*c*(a+b*arcsin(c*x))*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2)-2*b^2*c*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2)+2*b^2*c*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/sqrt(c^2*d^2-e^2),1],
[(a+b*arcsin(c*x))^2/(e*x+d)^3,x,13,b*c*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/(c^2*d^2-e^2)/(e*x+d)-1/2*(a+b*arcsin(c*x))^2/e/(e*x+d)^2-I*b*c^3*d*(a+b*arcsin(c*x))*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2)+I*b*c^3*d*(a+b*arcsin(c*x))*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2)-b^2*c^2*ln(e*x+d)/e/(c^2*d^2-e^2)-b^2*c^3*d*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2)+b^2*c^3*d*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e/(c^2*d^2-e^2)^(3/2),1],
[(e*x+d)^3/(a+b*arcsin(c*x)),x,27,d^3*cos(a/b)*Ci(a/b+arcsin(c*x))/b/c+3/4*d*e^2*cos(a/b)*Ci(a/b+arcsin(c*x))/b/c^3-3/4*d*e^2*cos(3*a/b)*Ci(3*a/b+3*arcsin(c*x))/b/c^3-3/2*d^2*e*Ci(2*a/b+2*arcsin(c*x))*sin(2*a/b)/b/c^2-1/4*e^3*Ci(2*a/b+2*arcsin(c*x))*sin(2*a/b)/b/c^4+1/8*e^3*Ci(4*a/b+4*arcsin(c*x))*sin(4*a/b)/b/c^4+d^3*sin(a/b)*Si(a/b+arcsin(c*x))/b/c+3/4*d*e^2*sin(a/b)*Si(a/b+arcsin(c*x))/b/c^3+3/2*d^2*e*cos(2*a/b)*Si(2*a/b+2*arcsin(c*x))/b/c^2+1/4*e^3*cos(2*a/b)*Si(2*a/b+2*arcsin(c*x))/b/c^4-3/4*d*e^2*sin(3*a/b)*Si(3*a/b+3*arcsin(c*x))/b/c^3-1/8*e^3*cos(4*a/b)*Si(4*a/b+4*arcsin(c*x))/b/c^4,1],
[(e*x+d)^2/(a+b*arcsin(c*x)),x,17,d^2*cos(a/b)*Ci(a/b+arcsin(c*x))/b/c+1/4*e^2*cos(a/b)*Ci(a/b+arcsin(c*x))/b/c^3-1/4*e^2*cos(3*a/b)*Ci(3*a/b+3*arcsin(c*x))/b/c^3-d*e*Ci(2*a/b+2*arcsin(c*x))*sin(2*a/b)/b/c^2+d^2*sin(a/b)*Si(a/b+arcsin(c*x))/b/c+1/4*e^2*sin(a/b)*Si(a/b+arcsin(c*x))/b/c^3+d*e*cos(2*a/b)*Si(2*a/b+2*arcsin(c*x))/b/c^2-1/4*e^2*sin(3*a/b)*Si(3*a/b+3*arcsin(c*x))/b/c^3,1],
[(e*x+d)/(a+b*arcsin(c*x)),x,11,d*cos(a/b)*Ci(a/b+arcsin(c*x))/b/c-1/2*e*Ci(2*a/b+2*arcsin(c*x))*sin(2*a/b)/b/c^2+d*sin(a/b)*Si(a/b+arcsin(c*x))/b/c+1/2*e*cos(2*a/b)*Si(2*a/b+2*arcsin(c*x))/b/c^2,1],
[1/(a+b*arcsin(c*x)),x,4,cos(a/b)*Ci((a+b*arcsin(c*x))/b)/b/c+sin(a/b)*Si((a+b*arcsin(c*x))/b)/b/c,1],
[1/(e*x+d)/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(e*x+d)/(a+b*arcsin(c*x)),x),0],
[1/(e*x+d)^2/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(e*x+d)^2/(a+b*arcsin(c*x)),x),0],
[(e*x+d)^2/(a+b*arcsin(c*x))^2,x,19,-d^2*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))-2*d*e*x*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))-e^2*x^2*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))+2*d*e*cos(2*a/b)*Ci(2*(a+b*arcsin(c*x))/b)/b^2/c^2+d^2*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c+1/4*e^2*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c^3-3/4*e^2*Ci(3*(a+b*arcsin(c*x))/b)*sin(3*a/b)/b^2/c^3-d^2*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c-1/4*e^2*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c^3+2*d*e*sin(2*a/b)*Si(2*(a+b*arcsin(c*x))/b)/b^2/c^2+3/4*e^2*cos(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b^2/c^3,1],
[(e*x+d)/(a+b*arcsin(c*x))^2,x,11,-d*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))-e*x*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))+e*cos(2*a/b)*Ci(2*(a+b*arcsin(c*x))/b)/b^2/c^2+d*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c-d*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c+e*sin(2*a/b)*Si(2*(a+b*arcsin(c*x))/b)/b^2/c^2,1],
[1/(a+b*arcsin(c*x))^2,x,5,-sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))+Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c-cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c,1],
[1/(e*x+d)/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/(e*x+d)/(a+b*arcsin(c*x))^2,x),0],
[1/(e*x+d)^2/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/(e*x+d)^2/(a+b*arcsin(c*x))^2,x),0],
[(e*x+d)^p*(a+b*arcsin(c*x))^2,x,1,(e*x+d)^(p+1)*(a+b*arcsin(c*x))^2/e/(p+1)-2*b*c*Defer(Int)((e*x+d)^(p+1)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1),x)/e/(p+1),0],
[(e*x+d)^p*(a+b*arcsin(c*x)),x,2,-b*c*(e*x+d)^(2+p)*sqrt(1-c*(e*x+d)/(c*d-e))*sqrt(1-c*(e*x+d)/(c*d+e))*AppellF1(2+p,1/2,1/2,3+p,c*(e*x+d)/(c*d-e),c*(e*x+d)/(c*d+e))/e^2/(p+1)/(2+p)/sqrt(-c^2*x^2+1)+(e*x+d)^(p+1)*(a+b*arcsin(c*x))/e/(p+1),1],
[(e*x+d)^p/(a+b*arcsin(c*x)),x,0,Defer(Int)((e*x+d)^p/(a+b*arcsin(c*x)),x),0],
[(e*x+d)^p/(a+b*arcsin(c*x))^2,x,0,Defer(Int)((e*x+d)^p/(a+b*arcsin(c*x))^2,x),0],
[(e*x+d)^3*(g*x+f)*(a+b*arcsin(c*x)),x,8,1/5*b*(5*c^4*d^3*f+e^3*g+5*c^2*d*e*(d*g+e*f))*sqrt(-c^2*x^2+1)/c^5+1/32*b*(8*c^2*d^2*(d*g+3*e*f)+3*e^2*(3*d*g+e*f))*x*sqrt(-c^2*x^2+1)/c^3+1/16*b*e^2*(3*d*g+e*f)*x^3*sqrt(-c^2*x^2+1)/c-1/15*b*e*(2*e^2*g+5*c^2*d*(d*g+e*f))*(-c^2*x^2+1)^(3/2)/c^5+1/25*b*e^3*g*(-c^2*x^2+1)^(5/2)/c^5-1/32*b*(8*c^2*d^2*(d*g+3*e*f)+3*e^2*(3*d*g+e*f))*arcsin(c*x)/c^4+d^3*f*x*(a+b*arcsin(c*x))+1/2*d^2*(d*g+3*e*f)*x^2*(a+b*arcsin(c*x))+d*e*(d*g+e*f)*x^3*(a+b*arcsin(c*x))+1/4*e^2*(3*d*g+e*f)*x^4*(a+b*arcsin(c*x))+1/5*e^3*g*x^5*(a+b*arcsin(c*x)),1],
[(e*x+d)^2*(g*x+f)*(a+b*arcsin(c*x)),x,9,1/3*b*(3*c^2*d^2*f+e*(2*d*g+e*f))*sqrt(-c^2*x^2+1)/c^3+1/32*b*(3*e^2*g+8*c^2*d*(d*g+2*e*f))*x*sqrt(-c^2*x^2+1)/c^3+1/16*b*e^2*g*x^3*sqrt(-c^2*x^2+1)/c-1/9*b*e*(2*d*g+e*f)*(-c^2*x^2+1)^(3/2)/c^3-1/32*b*(3*e^2*g+8*c^2*d*(d*g+2*e*f))*arcsin(c*x)/c^4+d^2*f*x*(a+b*arcsin(c*x))+1/2*d*(d*g+2*e*f)*x^2*(a+b*arcsin(c*x))+1/3*e*(2*d*g+e*f)*x^3*(a+b*arcsin(c*x))+1/4*e^2*g*x^4*(a+b*arcsin(c*x)),1],
[(e*x+d)*(g*x+f)*(a+b*arcsin(c*x)),x,6,1/9*b*(9*c^2*d*f+2*e*g)*sqrt(-c^2*x^2+1)/c^3+1/4*b*(d*g+e*f)*x*sqrt(-c^2*x^2+1)/c+1/9*b*e*g*x^2*sqrt(-c^2*x^2+1)/c-1/4*b*(d*g+e*f)*arcsin(c*x)/c^2+d*f*x*(a+b*arcsin(c*x))+1/2*(d*g+e*f)*x^2*(a+b*arcsin(c*x))+1/3*e*g*x^3*(a+b*arcsin(c*x)),1],
[(g*x+f)*(a+b*arcsin(c*x))/(e*x+d),x,14,b*g*sqrt(-c^2*x^2+1)/c/e-1/2*I*b*(-d*g+e*f)*arcsin(c*x)^2/e^2+g*x*(a+b*arcsin(c*x))/e+b*(-d*g+e*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^2+b*(-d*g+e*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^2-b*(-d*g+e*f)*arcsin(c*x)*ln(e*x+d)/e^2+(-d*g+e*f)*(a+b*arcsin(c*x))*ln(e*x+d)/e^2-I*b*(-d*g+e*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^2-I*b*(-d*g+e*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^2,1],
[(g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^2,x,15,-1/2*I*b*g*arcsin(c*x)^2/e^2-(-d*g+e*f)*(a+b*arcsin(c*x))/e^2/(e*x+d)+b*c*(-d*g+e*f)*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^2/sqrt(c^2*d^2-e^2)+b*g*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^2+b*g*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^2-b*g*arcsin(c*x)*ln(e*x+d)/e^2+g*(a+b*arcsin(c*x))*ln(e*x+d)/e^2-I*b*g*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^2-I*b*g*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^2,1],
[(g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^3,x,7,1/2*b*c*(-d*g+e*f)*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)/(e*x+d)+1/2*b*g^2*arcsin(c*x)/e^2/(-d*g+e*f)-1/2*(g*x+f)^2*(a+b*arcsin(c*x))/(-d*g+e*f)/(e*x+d)^2-1/2*b*c*(2*e^2*g-c^2*d*(d*g+e*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^2/(c^2*d^2-e^2)^(3/2),1],
[(g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^4,x,6,1/6*b*c*(-d*g+e*f)*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)/(e*x+d)^2+1/2*b*c*(c^2*d*f-e*g)*sqrt(-c^2*x^2+1)/(c^2*d^2-e^2)^2/(e*x+d)-1/3*(-d*g+e*f)*(a+b*arcsin(c*x))/e^2/(e*x+d)^3-1/2*g*(a+b*arcsin(c*x))/e^2/(e*x+d)^2+1/6*b*c^3*(e^2*(-4*d*g+e*f)+c^2*d^2*(d*g+2*e*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^2/(c^2*d^2-e^2)^(5/2),1],
[(g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^5,x,7,1/12*b*c*(-d*g+e*f)*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)/(e*x+d)^3-1/24*b*c*(4*e^2*g-c^2*d*(-d*g+5*e*f))*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)^2/(e*x+d)^2+1/24*b*c^3*(4*e^2*(-4*d*g+e*f)+c^2*d^2*(d*g+11*e*f))*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)^3/(e*x+d)-1/4*(-d*g+e*f)*(a+b*arcsin(c*x))/e^2/(e*x+d)^4-1/3*g*(a+b*arcsin(c*x))/e^2/(e*x+d)^3-1/24*b*c^3*(4*e^4*g-c^2*d*e^2*(-13*d*g+9*e*f)-2*c^4*d^3*(d*g+3*e*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^2/(c^2*d^2-e^2)^(7/2),1],
[(g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^6,x,8,1/20*b*c*(-d*g+e*f)*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)/(e*x+d)^4-1/60*b*c*(5*e^2*g-c^2*d*(-2*d*g+7*e*f))*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)^2/(e*x+d)^3+1/120*b*c^3*(e^2*(-34*d*g+9*e*f)+c^2*d^2*(-d*g+26*e*f))*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)^3/(e*x+d)^2-1/24*b*c^3*(4*e^4*g-c^2*d*e^2*(-18*d*g+11*e*f)-c^4*d^3*(d*g+10*e*f))*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)^4/(e*x+d)-1/5*(-d*g+e*f)*(a+b*arcsin(c*x))/e^2/(e*x+d)^5-1/4*g*(a+b*arcsin(c*x))/e^2/(e*x+d)^4+1/40*b*c^5*(c^2*d^2*e^2*(-19*d*g+24*e*f)+3*e^4*(-6*d*g+e*f)+2*c^4*d^4*(d*g+4*e*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^2/(c^2*d^2-e^2)^(9/2),1],
[(g*x+f)*(a+b*arcsin(c*x))^2/(e*x+d)^3,x,33,a*b*c*(-d*g+e*f)*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)/(e*x+d)+a*b*g^2*arcsin(c*x)/e^2/(-d*g+e*f)+b^2*c*(-d*g+e*f)*sqrt(-c^2*x^2+1)*arcsin(c*x)/e/(c^2*d^2-e^2)/(e*x+d)+1/2*b^2*g^2*arcsin(c*x)^2/e^2/(-d*g+e*f)-1/2*(g*x+f)^2*(a+b*arcsin(c*x))^2/(-d*g+e*f)/(e*x+d)^2-a*b*c*(2*e^2*g-c^2*d*(d*g+e*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^2/(c^2*d^2-e^2)^(3/2)-2*I*b^2*c*g*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^2/sqrt(c^2*d^2-e^2)-I*b^2*c^3*d*(-d*g+e*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^2/(c^2*d^2-e^2)^(3/2)+2*I*b^2*c*g*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^2/sqrt(c^2*d^2-e^2)+I*b^2*c^3*d*(-d*g+e*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^2/(c^2*d^2-e^2)^(3/2)-b^2*c^2*(-d*g+e*f)*ln(e*x+d)/e^2/(c^2*d^2-e^2)-2*b^2*c*g*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^2/sqrt(c^2*d^2-e^2)-b^2*c^3*d*(-d*g+e*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^2/(c^2*d^2-e^2)^(3/2)+2*b^2*c*g*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^2/sqrt(c^2*d^2-e^2)+b^2*c^3*d*(-d*g+e*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^2/(c^2*d^2-e^2)^(3/2),1],
[(g*x+f)^2*(a+b*arcsin(c*x))^2/(e*x+d)^3,x,55,b^2*c*(-d*g+e*f)^2*sqrt(-c^2*x^2+1)*arcsin(c*x)/e^2/(c^2*d^2-e^2)/(e*x+d)+a*b*c*(-d*g+e*f)^2*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)/(e*x+d)-a*b*c*(-d*g+e*f)*(4*e^2*g-c^2*d*(3*d*g+e*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^3/(c^2*d^2-e^2)^(3/2)+b^2*c^3*d*(-d*g+e*f)^2*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3/(c^2*d^2-e^2)^(3/2)-b^2*c^3*d*(-d*g+e*f)^2*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3/(c^2*d^2-e^2)^(3/2)+4*b^2*c*g*(-d*g+e*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3/sqrt(c^2*d^2-e^2)-4*b^2*c*g*(-d*g+e*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3/sqrt(c^2*d^2-e^2)-4*a*b*g*(-d*g+e*f)*arcsin(c*x)/e^3/(e*x+d)-2*a^2*g*(-d*g+e*f)/e^3/(e*x+d)+2*b^2*g^2*polylog(3,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3+2*b^2*g^2*polylog(3,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3+a^2*g^2*ln(e*x+d)/e^3-2*I*a*b*g^2*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3-2*I*a*b*g^2*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3-b^2*c^2*(-d*g+e*f)^2*ln(e*x+d)/e^3/(c^2*d^2-e^2)-a*b*(-d*g+e*f)^2*arcsin(c*x)/e^3/(e*x+d)^2-2*b^2*g*(-d*g+e*f)*arcsin(c*x)^2/e^3/(e*x+d)-I*a*b*g^2*arcsin(c*x)^2/e^3+2*a*b*g^2*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3+2*a*b*g^2*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3-2*I*b^2*g^2*arcsin(c*x)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3-2*I*b^2*g^2*arcsin(c*x)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3-1/2*a^2*(-d*g+e*f)^2/e^3/(e*x+d)^2+b^2*g^2*arcsin(c*x)^2*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3+b^2*g^2*arcsin(c*x)^2*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3-1/3*I*b^2*g^2*arcsin(c*x)^3/e^3-1/2*b^2*(-d*g+e*f)^2*arcsin(c*x)^2/e^3/(e*x+d)^2+I*b^2*c^3*d*(-d*g+e*f)^2*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3/(c^2*d^2-e^2)^(3/2)-I*b^2*c^3*d*(-d*g+e*f)^2*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3/(c^2*d^2-e^2)^(3/2)+4*I*b^2*c*g*(-d*g+e*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3/sqrt(c^2*d^2-e^2)-4*I*b^2*c*g*(-d*g+e*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3/sqrt(c^2*d^2-e^2),1],
[(c*d*x+d)^(5/2)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x)),x,13,2/3*b*d^2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-3/16*b*c*d^2*x^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-2/9*b*c^2*d^2*x^3*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-1/16*b*c^3*d^2*x^4*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+3/8*d^2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))+1/4*c^2*d^2*x^3*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))-2/3*d^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+5/16*d^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[(c*d*x+d)^(3/2)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x)),x,8,1/3*b*d*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-1/4*b*c*d*x^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-1/9*b*c^2*d*x^3*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+1/2*d*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))-1/3*d*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+1/4*d*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x)),x,4,-1/4*b*c*x^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+1/2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))+1/4*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(-c*f*x+f)*(a+b*arcsin(c*x))/sqrt(c*d*x+d),x,6,-b*f*x*sqrt(-c^2*x^2+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+f*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/2*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/b/c/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[sqrt(-c*f*x+f)*(a+b*arcsin(c*x))/(c*d*x+d)^(3/2),x,8,-2*f^2*(-c*x+1)*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2)-1/2*f^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))^2/b/c/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2)+2*b*f^2*(-c^2*x^2+1)^(3/2)*ln(c*x+1)/c/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2),1],
[sqrt(-c*f*x+f)*(a+b*arcsin(c*x))/(c*d*x+d)^(5/2),x,7,-2/3*b*f*sqrt(-c^2*x^2+1)/c/d^2/(c*x+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-1/3*(-c*f*x+f)^(3/2)*(a+b*arcsin(c*x))/c/d/f/(c*d*x+d)^(3/2)-1/3*b*f*sqrt(-c^2*x^2+1)*ln(c*x+1)/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(c*d*x+d)^(5/2)*(-c*f*x+f)^(3/2)*(a+b*arcsin(c*x)),x,11,1/5*b*d^2*f*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-3/16*b*c*d^2*f*x^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-2/15*b*c^2*d^2*f*x^3*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+1/25*b*c^4*d^2*f*x^5*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+1/16*b*d^2*f*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)^(3/2)/c+3/8*d^2*f*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))+1/4*d^2*f*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)*(a+b*arcsin(c*x))-1/5*d^2*f*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))/c+3/16*d^2*f*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[(c*d*x+d)^(3/2)*(-c*f*x+f)^(3/2)*(a+b*arcsin(c*x)),x,6,-3/16*b*c*d*f*x^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+1/16*b*d*f*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)^(3/2)/c+3/8*d*f*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))+1/4*d*f*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)*(a+b*arcsin(c*x))+3/16*d*f*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(c*d*x+d)*(-c*f*x+f)^(3/2)*(a+b*arcsin(c*x)),x,8,-1/3*b*f*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-1/4*b*c*f*x^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+1/9*b*c^2*f*x^3*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+1/2*f*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))+1/3*f*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+1/4*f*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[(-c*f*x+f)^(3/2)*(a+b*arcsin(c*x))/sqrt(c*d*x+d),x,9,-2*b*f^2*x*sqrt(-c^2*x^2+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/4*b*c*f^2*x^2*sqrt(-c^2*x^2+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+2*f^2*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-1/2*f^2*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+3/4*f^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/b/c/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(-c*f*x+f)^(3/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(3/2),x,10,b*f^3*x*(-c^2*x^2+1)^(3/2)/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2)-4*f^3*(-c*x+1)*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2)-f^3*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))/c/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2)-3/2*f^3*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))^2/b/c/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2)+4*b*f^3*(-c^2*x^2+1)^(3/2)*ln(c*x+1)/c/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2),1],
[(-c*f*x+f)^(3/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(5/2),x,9,-4/3*b*f^2*sqrt(-c^2*x^2+1)/c/d^2/(c*x+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-1/2*b*f^2*sqrt(-c^2*x^2+1)*arcsin(c*x)^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+2*f^2*(-c*x+1)*(a+b*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-2/3*f^2*(-c*x+1)^3*(a+b*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)/(-c^2*x^2+1)+f^2*sqrt(-c^2*x^2+1)*arcsin(c*x)*(a+b*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-8/3*b*f^2*sqrt(-c^2*x^2+1)*ln(c*x+1)/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(c*d*x+d)^(5/2)*(-c*f*x+f)^(5/2)*(a+b*arcsin(c*x)),x,8,-5/32*b*c*d^2*f^2*x^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+5/96*b*d^2*f^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)^(3/2)/c+1/36*b*d^2*f^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)^(5/2)/c+5/16*d^2*f^2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))+5/24*d^2*f^2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)*(a+b*arcsin(c*x))+1/6*d^2*f^2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))+5/32*d^2*f^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[(c*d*x+d)^(3/2)*(-c*f*x+f)^(5/2)*(a+b*arcsin(c*x)),x,11,-1/5*b*d*f^2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-3/16*b*c*d*f^2*x^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+2/15*b*c^2*d*f^2*x^3*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-1/25*b*c^4*d*f^2*x^5*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+1/16*b*d*f^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)^(3/2)/c+3/8*d*f^2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))+1/4*d*f^2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)*(a+b*arcsin(c*x))+1/5*d*f^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))/c+3/16*d*f^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(c*d*x+d)*(-c*f*x+f)^(5/2)*(a+b*arcsin(c*x)),x,13,-2/3*b*f^2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-3/16*b*c*f^2*x^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+2/9*b*c^2*f^2*x^3*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)-1/16*b*c^3*f^2*x^4*sqrt(c*d*x+d)*sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+3/8*f^2*x*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))+1/4*c^2*f^2*x^3*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))+2/3*f^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+5/16*f^2*sqrt(c*d*x+d)*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[(-c*f*x+f)^(5/2)*(a+b*arcsin(c*x))/sqrt(c*d*x+d),x,13,-11/3*b*f^3*x*sqrt(-c^2*x^2+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+3/4*b*c*f^3*x^2*sqrt(-c^2*x^2+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-1/9*b*c^2*f^3*x^3*sqrt(-c^2*x^2+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+11/3*f^3*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-3/2*f^3*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/3*c*f^3*x^2*(-c^2*x^2+1)*(a+b*arcsin(c*x))/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+5/4*f^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/b/c/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(-c*f*x+f)^(5/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(3/2),x,6,4*b*f^3*x*sqrt(-c^2*x^2+1)/d/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-1/4*b*c*f^3*x^2*sqrt(-c^2*x^2+1)/d/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+15/4*b*f^3*sqrt(-c^2*x^2+1)*arcsin(c*x)^2/c/d/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-8*f^3*(-c*x+1)*(a+b*arcsin(c*x))/c/d/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-4*f^3*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/d/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/2*f^3*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))/d/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-15/2*f^3*sqrt(-c^2*x^2+1)*arcsin(c*x)*(a+b*arcsin(c*x))/c/d/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+8*b*f^3*sqrt(-c^2*x^2+1)*ln(c*x+1)/c/d/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(-c*f*x+f)^(5/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(5/2),x,9,-b*f^3*x*sqrt(-c^2*x^2+1)/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-8/3*b*f^3*sqrt(-c^2*x^2+1)/c/d^2/(c*x+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-5/2*b*f^3*sqrt(-c^2*x^2+1)*arcsin(c*x)^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+20/3*f^3*(-c*x+1)*(a+b*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-2/3*f^3*(-c*x+1)^4*(a+b*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)/(-c^2*x^2+1)+5/3*f^3*(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+5*f^3*sqrt(-c^2*x^2+1)*arcsin(c*x)*(a+b*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-28/3*b*f^3*sqrt(-c^2*x^2+1)*ln(c*x+1)/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(a+b*arcsin(c*x))/sqrt(c*d*x+d)/sqrt(-c*f*x+f),x,2,1/2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/b/c/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(a+b*arcsin(c*x))/(c*d*x+d)^(3/2)/sqrt(-c*f*x+f),x,6,-sqrt(-c*f*x+f)*(a+b*arcsin(c*x))/c/d/f/sqrt(c*d*x+d)+b*sqrt(-c^2*x^2+1)*ln(c*x+1)/c/d/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(a+b*arcsin(c*x))/(c*d*x+d)^(5/2)/sqrt(-c*f*x+f),x,10,-1/3*b*sqrt(-c^2*x^2+1)/c/d^2/(c*x+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-1/3*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))/c/d/f/(c*d*x+d)^(3/2)-1/3*sqrt(-c*f*x+f)*(a+b*arcsin(c*x))/c/d^2/f/sqrt(c*d*x+d)+1/3*b*sqrt(-c^2*x^2+1)*ln(c*x+1)/c/d^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(a+b*arcsin(c*x))/sqrt(c*d*x+d)/(-c*f*x+f)^(3/2),x,6,sqrt(c*d*x+d)*(a+b*arcsin(c*x))/c/d/f/sqrt(-c*f*x+f)+b*sqrt(-c^2*x^2+1)*ln(-c*x+1)/c/f/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(a+b*arcsin(c*x))/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2),x,5,x*(a+b*arcsin(c*x))/d/f/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/2*b*sqrt(-c^2*x^2+1)*ln(-c^2*x^2+1)/c/d/f/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(a+b*arcsin(c*x))/(c*d*x+d)^(5/2)/(-c*f*x+f)^(3/2),x,11,-1/6*b*sqrt(-c^2*x^2+1)/c/d^2/f/(c*x+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-1/3*(a+b*arcsin(c*x))/c/d/f/(c*d*x+d)^(3/2)/sqrt(-c*f*x+f)+2/3*x*(a+b*arcsin(c*x))/d^2/f/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/6*b*sqrt(-c^2*x^2+1)*arctanh(c*x)/c/d^2/f/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/3*b*sqrt(-c^2*x^2+1)*ln(-c^2*x^2+1)/c/d^2/f/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(a+b*arcsin(c*x))/sqrt(c*d*x+d)/(-c*f*x+f)^(5/2),x,10,-1/3*b*sqrt(-c^2*x^2+1)/c/f^2/(-c*x+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/3*sqrt(c*d*x+d)*(a+b*arcsin(c*x))/c/d/f/(-c*f*x+f)^(3/2)+1/3*sqrt(c*d*x+d)*(a+b*arcsin(c*x))/c/d/f^2/sqrt(-c*f*x+f)+1/3*b*sqrt(-c^2*x^2+1)*ln(-c*x+1)/c/f^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(a+b*arcsin(c*x))/(c*d*x+d)^(3/2)/(-c*f*x+f)^(5/2),x,11,-1/6*b*sqrt(-c^2*x^2+1)/c/d/f^2/(-c*x+1)/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/3*(a+b*arcsin(c*x))/c/d/f/sqrt(c*d*x+d)/(-c*f*x+f)^(3/2)+2/3*x*(a+b*arcsin(c*x))/d/f^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)-1/6*b*sqrt(-c^2*x^2+1)*arctanh(c*x)/c/d/f^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/3*b*sqrt(-c^2*x^2+1)*ln(-c^2*x^2+1)/c/d/f^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(a+b*arcsin(c*x))/(c*d*x+d)^(5/2)/(-c*f*x+f)^(5/2),x,8,-1/6*b/c/d^2/f^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)/sqrt(-c^2*x^2+1)+1/3*x*(a+b*arcsin(c*x))/d/f/(c*d*x+d)^(3/2)/(-c*f*x+f)^(3/2)+2/3*x*(a+b*arcsin(c*x))/d^2/f^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f)+1/3*b*sqrt(-c^2*x^2+1)*ln(-c^2*x^2+1)/c/d^2/f^2/sqrt(c*d*x+d)/sqrt(-c*f*x+f),1],
[(c*d*x+d)^(5/2)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2,x,23,8/9*b^2*d^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)/c-15/64*b^2*d^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)-1/32*b^2*c^2*d^2*x^3*sqrt(c*d*x+d)*sqrt(-c*e*x+e)+4/27*b^2*d^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)/c+15/64*b^2*d^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+4/3*b*d^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-3/8*b*c*d^2*x^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-4/9*b*c^2*d^2*x^3*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-1/8*b*c^3*d^2*x^4*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+3/8*d^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2+1/4*c^2*d^2*x^3*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2-2/3*d^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c+5/24*d^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[(c*d*x+d)^(3/2)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2,x,13,4/9*b^2*d*sqrt(c*d*x+d)*sqrt(-c*e*x+e)/c-1/4*b^2*d*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)+2/27*b^2*d*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)/c+1/4*b^2*d*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+2/3*b*d*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-1/2*b*c*d*x^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-2/9*b*c^2*d*x^3*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/2*d*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2-1/3*d*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c+1/6*d*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2,x,6,-1/4*b^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)+1/4*b^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)-1/2*b*c*x^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2+1/6*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2/sqrt(c*d*x+d),x,5,-2*b^2*e*(-c^2*x^2+1)/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-2*b*e*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+e*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/3*e*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2),x,15,-2*e^2*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)+2*e^2*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-2*I*e^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))^2/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-1/3*e^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))^3/b/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-8*I*b*e^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)+4*b*e^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)+4*I*b^2*e^2*(-c^2*x^2+1)^(3/2)*polylog(2,-I*exp(I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-4*I*b^2*e^2*(-c^2*x^2+1)^(3/2)*polylog(2,I*exp(I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-2*I*b^2*e^2*(-c^2*x^2+1)^(3/2)*polylog(2,-exp(2*I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),1],
[sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2),x,20,1/3*I*e*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-4/3*b^2*e*sqrt(-c^2*x^2+1)*cot(1/4*Pi+1/2*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/3*e*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*cot(1/4*Pi+1/2*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-2/3*b*e*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*csc(1/4*Pi+1/2*arcsin(c*x))^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/3*e*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*cot(1/4*Pi+1/2*arcsin(c*x))*csc(1/4*Pi+1/2*arcsin(c*x))^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-4/3*b*e*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x)))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+4/3*I*b^2*e*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(c*d*x+d)^(5/2)*(-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2,x,19,16/75*b^2*d^2*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)/c-15/64*b^2*d^2*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)+8/225*b^2*d^2*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)/c-1/32*b^2*d^2*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)+2/125*b^2*d^2*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^2/c+9/64*b^2*d^2*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+2/5*b*d^2*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-3/8*b*c*d^2*e*x^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-4/15*b*c^2*d^2*e*x^3*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+2/25*b*c^4*d^2*e*x^5*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/8*b*d^2*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/c+3/8*d^2*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2+1/4*d^2*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2-1/5*d^2*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))^2/c+1/8*d^2*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[(c*d*x+d)^(3/2)*(-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2,x,11,-15/64*b^2*d*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)-1/32*b^2*d*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)+9/64*b^2*d*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)-3/8*b*c*d*e*x^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/8*b*d*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/c+3/8*d*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2+1/4*d*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2+1/8*d*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(c*d*x+d)*(-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2,x,13,-4/9*b^2*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)/c-1/4*b^2*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)-2/27*b^2*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)/c+1/4*b^2*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)-2/3*b*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-1/2*b*c*e*x^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+2/9*b*c^2*e*x^3*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/2*e*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2+1/3*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c+1/6*e*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[(-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2/sqrt(c*d*x+d),x,11,-4*b^2*e^2*(-c^2*x^2+1)/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/4*b^2*e^2*x*(-c^2*x^2+1)/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/4*b^2*e^2*sqrt(-c^2*x^2+1)*arcsin(c*x)/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-4*b*e^2*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/2*b*c*e^2*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+2*e^2*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/2*e^2*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/2*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2),x,16,2*b^2*e^2*(-c^2*x^2+1)/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+2*b*e^2*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-4*e^2*(a+b*arcsin(c*x))^2/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+4*e^2*x*(a+b*arcsin(c*x))^2/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-4*I*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-e^2*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-16*I*b*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+8*b*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+8*I*b^2*e^2*sqrt(-c^2*x^2+1)*polylog(2,-I*exp(I*arcsin(c*x)))/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-8*I*b^2*e^2*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-4*I*b^2*e^2*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(-c*e*x+e)^(3/2)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2),x,21,8/3*I*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/3*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-8/3*b^2*e^2*sqrt(-c^2*x^2+1)*cot(1/4*Pi+1/2*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+8/3*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*cot(1/4*Pi+1/2*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-4/3*b*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*csc(1/4*Pi+1/2*arcsin(c*x))^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-2/3*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*cot(1/4*Pi+1/2*arcsin(c*x))*csc(1/4*Pi+1/2*arcsin(c*x))^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-32/3*b*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x)))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+32/3*I*b^2*e^2*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(c*d*x+d)^(5/2)*(-c*e*x+e)^(5/2)*(a+b*arcsin(c*x))^2,x,17,-245/1152*b^2*d^2*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)-65/1728*b^2*d^2*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)-1/108*b^2*d^2*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^2+115/1152*b^2*d^2*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)-5/16*b*c*d^2*e^2*x^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+5/48*b*d^2*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/c+1/18*b*d^2*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))/c+5/16*d^2*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2+5/24*d^2*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2+1/6*d^2*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))^2+5/48*d^2*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[(c*d*x+d)^(3/2)*(-c*e*x+e)^(5/2)*(a+b*arcsin(c*x))^2,x,19,-16/75*b^2*d*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)/c-15/64*b^2*d*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)-8/225*b^2*d*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)/c-1/32*b^2*d*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)-2/125*b^2*d*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^2/c+9/64*b^2*d*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)-2/5*b*d*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-3/8*b*c*d*e^2*x^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+4/15*b*c^2*d*e^2*x^3*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-2/25*b*c^4*d*e^2*x^5*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/8*b*d*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/c+3/8*d*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2+1/4*d*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2+1/5*d*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))^2/c+1/8*d*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(c*d*x+d)*(-c*e*x+e)^(5/2)*(a+b*arcsin(c*x))^2,x,23,-8/9*b^2*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)/c-15/64*b^2*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)-1/32*b^2*c^2*e^2*x^3*sqrt(c*d*x+d)*sqrt(-c*e*x+e)-4/27*b^2*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)/c+15/64*b^2*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)-4/3*b*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-3/8*b*c*e^2*x^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+4/9*b*c^2*e^2*x^3*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-1/8*b*c^3*e^2*x^4*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+3/8*e^2*x*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2+1/4*c^2*e^2*x^3*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^2+2/3*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c+5/24*e^2*sqrt(c*d*x+d)*sqrt(-c*e*x+e)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[(-c*e*x+e)^(5/2)*(a+b*arcsin(c*x))^2/sqrt(c*d*x+d),x,17,-68/9*b^2*e^3*(-c^2*x^2+1)/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+3/4*b^2*e^3*x*(-c^2*x^2+1)/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+2/27*b^2*e^3*(-c^2*x^2+1)^2/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-3/4*b^2*e^3*sqrt(-c^2*x^2+1)*arcsin(c*x)/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-22/3*b*e^3*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+3/2*b*c*e^3*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-2/9*b*c^2*e^3*x^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+11/3*e^3*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-3/2*e^3*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/3*c*e^3*x^2*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+5/6*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(-c*e*x+e)^(5/2)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2),x,21,8*b^2*e^3*(-c^2*x^2+1)/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/4*b^2*e^3*x*(-c^2*x^2+1)/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/4*b^2*e^3*sqrt(-c^2*x^2+1)*arcsin(c*x)/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+8*b*e^3*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/2*b*c*e^3*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-8*e^3*(a+b*arcsin(c*x))^2/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+8*e^3*x*(a+b*arcsin(c*x))^2/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+16*I*b^2*e^3*sqrt(-c^2*x^2+1)*polylog(2,-I*exp(I*arcsin(c*x)))/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-4*e^3*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/2*e^3*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-5/2*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-32*I*b*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+16*b*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-8*I*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-8*I*b^2*e^3*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-16*I*b^2*e^3*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c/d/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(-c*e*x+e)^(5/2)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2),x,22,-2*b^2*e^3*(-c^2*x^2+1)/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-2*b*e^3*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+28/3*I*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+e^3*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+5/3*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-16/3*b^2*e^3*sqrt(-c^2*x^2+1)*cot(1/4*Pi+1/2*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+28/3*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*cot(1/4*Pi+1/2*arcsin(c*x))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-8/3*b*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*csc(1/4*Pi+1/2*arcsin(c*x))^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-4/3*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*cot(1/4*Pi+1/2*arcsin(c*x))*csc(1/4*Pi+1/2*arcsin(c*x))^2/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-112/3*b*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x)))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+112/3*I*b^2*e^3*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c/d^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(a+b*arcsin(c*x))^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e),x,2,1/3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/sqrt(-c*e*x+e),x,12,-e*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)+e*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-I*e*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))^2/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-4*I*b*e*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)+2*b*e*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)+2*I*b^2*e*(-c^2*x^2+1)^(3/2)*polylog(2,-I*exp(I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-2*I*b^2*e*(-c^2*x^2+1)^(3/2)*polylog(2,I*exp(I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-I*b^2*e*(-c^2*x^2+1)^(3/2)*polylog(2,-exp(2*I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),1],
[(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/sqrt(-c*e*x+e),x,24,-2/3*b^2*e^2*(-c^2*x^2+1)^2/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+2/3*b^2*e^2*x*(-c^2*x^2+1)^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-1/3*b^2*e^2*(-c^2*x^2+1)^(5/2)*arcsin(c*x)/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-1/3*b*e^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+2/3*b*e^2*x*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-1/3*b*c*e^2*x^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-2/3*e^2*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+1/3*e^2*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+1/3*c^2*e^2*x^3*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+2/3*e^2*x*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-1/3*I*e^2*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))^2/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-2/3*I*b^2*e^2*(-c^2*x^2+1)^(5/2)*polylog(2,I*exp(I*arcsin(c*x)))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+2/3*b*e^2*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-4/3*I*b*e^2*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+2/3*I*b^2*e^2*(-c^2*x^2+1)^(5/2)*polylog(2,-I*exp(I*arcsin(c*x)))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-1/3*I*b^2*e^2*(-c^2*x^2+1)^(5/2)*polylog(2,-exp(2*I*arcsin(c*x)))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2),1],
[(a+b*arcsin(c*x))^2/sqrt(c*d*x+d)/(-c*e*x+e)^(3/2),x,12,d*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)+d*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-I*d*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))^2/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)+4*I*b*d*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)+2*b*d*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-2*I*b^2*d*(-c^2*x^2+1)^(3/2)*polylog(2,-I*exp(I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)+2*I*b^2*d*(-c^2*x^2+1)^(3/2)*polylog(2,I*exp(I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2)-I*b^2*d*(-c^2*x^2+1)^(3/2)*polylog(2,-exp(2*I*arcsin(c*x)))/c/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),1],
[(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(3/2),x,5,x*(a+b*arcsin(c*x))^2/d/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-I*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+2*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/d/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-I*b^2*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c/d/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(3/2),x,17,-1/3*b^2/c/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/3*b^2*x/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/3*b*(a+b*arcsin(c*x))/c/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)/sqrt(-c^2*x^2+1)+1/3*b*x*(a+b*arcsin(c*x))/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)/sqrt(-c^2*x^2+1)+2/3*x*(a+b*arcsin(c*x))^2/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/3*(a+b*arcsin(c*x))^2/c/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)/(-c^2*x^2+1)+1/3*x*(a+b*arcsin(c*x))^2/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)/(-c^2*x^2+1)-2/3*I*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-2/3*I*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+4/3*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/3*I*b^2*sqrt(-c^2*x^2+1)*polylog(2,-I*exp(I*arcsin(c*x)))/c/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/3*I*b^2*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-2/3*I*b^2*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c/d^2/e/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(a+b*arcsin(c*x))^2/sqrt(c*d*x+d)/(-c*e*x+e)^(5/2),x,24,2/3*b^2*d^2*(-c^2*x^2+1)^2/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+2/3*b^2*d^2*x*(-c^2*x^2+1)^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-1/3*b^2*d^2*(-c^2*x^2+1)^(5/2)*arcsin(c*x)/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-1/3*b*d^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-2/3*b*d^2*x*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-1/3*b*c*d^2*x^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+2/3*d^2*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+1/3*d^2*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+1/3*c^2*d^2*x^3*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+2/3*d^2*x*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-2/3*I*b^2*d^2*(-c^2*x^2+1)^(5/2)*polylog(2,-I*exp(I*arcsin(c*x)))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-1/3*I*d^2*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))^2/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+2/3*b*d^2*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)-1/3*I*b^2*d^2*(-c^2*x^2+1)^(5/2)*polylog(2,-exp(2*I*arcsin(c*x)))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+2/3*I*b^2*d^2*(-c^2*x^2+1)^(5/2)*polylog(2,I*exp(I*arcsin(c*x)))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2)+4/3*I*b*d^2*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2),1],
[(a+b*arcsin(c*x))^2/(c*d*x+d)^(3/2)/(-c*e*x+e)^(5/2),x,17,1/3*b^2/c/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/3*b^2*x/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/3*b*(a+b*arcsin(c*x))/c/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)/sqrt(-c^2*x^2+1)-1/3*b*x*(a+b*arcsin(c*x))/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)/sqrt(-c^2*x^2+1)+2/3*x*(a+b*arcsin(c*x))^2/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/3*(a+b*arcsin(c*x))^2/c/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)/(-c^2*x^2+1)+1/3*x*(a+b*arcsin(c*x))^2/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)/(-c^2*x^2+1)-2/3*I*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+2/3*I*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+4/3*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/3*I*b^2*sqrt(-c^2*x^2+1)*polylog(2,-I*exp(I*arcsin(c*x)))/c/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/3*I*b^2*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-2/3*I*b^2*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c/d/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[(a+b*arcsin(c*x))^2/(c*d*x+d)^(5/2)/(-c*e*x+e)^(5/2),x,8,1/3*b^2*x/d^2/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-1/3*b*(a+b*arcsin(c*x))/c/d^2/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)/sqrt(-c^2*x^2+1)+2/3*x*(a+b*arcsin(c*x))^2/d^2/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+1/3*x*(a+b*arcsin(c*x))^2/d^2/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)/(-c^2*x^2+1)-2/3*I*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d^2/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)+4/3*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/d^2/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e)-2/3*I*b^2*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c/d^2/e^2/sqrt(c*d*x+d)/sqrt(-c*e*x+e),1],
[sqrt(e*x+d)*sqrt(g*x+f)*(a+b*arcsin(c*x)),x,0,Defer(Int)(sqrt(e*x+d)*sqrt(g*x+f)*(a+b*arcsin(c*x)),x),0],
[sqrt(g*x+f)*(a+b*arcsin(c*x))/sqrt(e*x+d),x,0,Defer(Int)(sqrt(g*x+f)*(a+b*arcsin(c*x))/sqrt(e*x+d),x),0],
[(a+b*arcsin(c*x))/sqrt(e*x+d)/sqrt(g*x+f),x,0,Defer(Int)((a+b*arcsin(c*x))/sqrt(e*x+d)/sqrt(g*x+f),x),0],
[(a+b*arcsin(c*x))/(e*x+d)^(3/2)/sqrt(g*x+f),x,3,-2*sqrt(g*x+f)*(a+b*arcsin(c*x))/(-d*g+e*f)/sqrt(e*x+d)+4*b*c*sqrt(-c*(c*d+e))*sqrt((-d*g+e*f)*(-c*x+1)/(c*d+e)/(g*x+f))*sqrt(-(-d*g+e*f)*(c*x+1)/(c*d-e)/(g*x+f))*(g*x+f)*EllipticPi(sin(arcsin(sqrt(-c*(c*f+g))*sqrt(e*x+d)/sqrt(-c*(c*d+e))/sqrt(g*x+f))),(c*d+e)*g/e/(c*f+g),sqrt((c*d+e)*(c*f-g)/(c*d-e)/(c*f+g)))/e/sqrt(-c*(c*f+g))/(-d*g+e*f)/sqrt(-c^2*x^2+1),1],
[(a+b*arcsin(c*x))/(e*x+d)^(5/2)/sqrt(g*x+f),x,8,-2/3*sqrt(g*x+f)*(a+b*arcsin(c*x))/(-d*g+e*f)/(e*x+d)^(3/2)+4/3*g*sqrt(g*x+f)*(a+b*arcsin(c*x))/(-d*g+e*f)^2/sqrt(e*x+d)-4/3*sqrt(2)*b*c^(3/2)*sqrt(-c^2*x-c)*sqrt((c*d-e)*(-c*x+1)/c/(e*x+d))*sqrt(g*x+f)*EllipticE(sin(arcsin(sqrt(d*g-e*f)*sqrt(-c^2*x-c)/sqrt(c)/sqrt(c*f-g)/sqrt(e*x+d))),sqrt(1/2*(c*d+e)*(c*f-g)/c/(-d*g+e*f)))/(c^2*d^2-e^2)/sqrt(c*f-g)/sqrt(d*g-e*f)/sqrt((c*d-e)*(g*x+f)/(c*f-g)/(e*x+d))/sqrt(-c^2*x^2+1)+2/3*sqrt(2)*b*sqrt(c)*(c*f+g)*sqrt(-c^2*x-c)*sqrt((c*d-e)*(-c*x+1)/c/(e*x+d))*sqrt(g*x+f)*InverseJacobiAM(arcsin(sqrt(d*g-e*f)*sqrt(-c^2*x-c)/sqrt(c)/sqrt(c*f-g)/sqrt(e*x+d)),sqrt(1/2*(c*d+e)*(c*f-g)/c/(-d*g+e*f)))/(c*d+e)/sqrt(c*f-g)/(d*g-e*f)^(3/2)/sqrt((c*d-e)*(g*x+f)/(c*f-g)/(e*x+d))/sqrt(-c^2*x^2+1)-8/3*b*c*sqrt(-c*(c*d+e))*g*sqrt((-d*g+e*f)*(-c*x+1)/(c*d+e)/(g*x+f))*sqrt(-(-d*g+e*f)*(c*x+1)/(c*d-e)/(g*x+f))*(g*x+f)*EllipticPi(sin(arcsin(sqrt(-c*(c*f+g))*sqrt(e*x+d)/sqrt(-c*(c*d+e))/sqrt(g*x+f))),(c*d+e)*g/e/(c*f+g),sqrt((c*d+e)*(c*f-g)/(c*d-e)/(c*f+g)))/e/sqrt(-c*(c*f+g))/(-d*g+e*f)^2/sqrt(-c^2*x^2+1),1],
[(a+b*arcsin(c*x))/(e*x+d)^(3/2)/(g*x+f)^(3/2),x,6,(-2*a-2*b*arcsin(c*x))/(-d*g+e*f)/sqrt(e*x+d)/sqrt(g*x+f)-4*g*sqrt(e*x+d)*(a+b*arcsin(c*x))/(-d*g+e*f)^2/sqrt(g*x+f)-4*b*c*sqrt(c*f+g)*(e*x+d)*sqrt(-(-d*g+e*f)^2*(-c^2*x^2+1)/(c^2*f^2-g^2)/(e*x+d)^2)*sqrt(1-(c*d-e)*(g*x+f)/(c*f-g)/(e*x+d))*sqrt(1-(c*d+e)*(g*x+f)/(c*f+g)/(e*x+d))*InverseJacobiAM(arcsin(sqrt(c*d+e)*sqrt(g*x+f)/sqrt(c*f+g)/sqrt(e*x+d)),sqrt((c*d-e)*(c*f+g)/(c*d+e)/(c*f-g)))/sqrt(c*d+e)/(-d*g+e*f)^2/sqrt(-c^2*x^2+1)/sqrt(1-2*(c^2*d*f-e*g)*(g*x+f)/(c^2*f^2-g^2)/(e*x+d)+(c^2*d^2-e^2)*(g*x+f)^2/(c^2*f^2-g^2)/(e*x+d)^2)+8*b*c*sqrt(-c*(c*f+g))*sqrt(-(-d*g+e*f)*(-c*x+1)/(c*f+g)/(e*x+d))*sqrt((-d*g+e*f)*(c*x+1)/(c*f-g)/(e*x+d))*(e*x+d)*EllipticPi(sin(arcsin(sqrt(-c*(c*d+e))*sqrt(g*x+f)/sqrt(-c*(c*f+g))/sqrt(e*x+d))),e*(c*f+g)/(c*d+e)/g,sqrt((c*d-e)*(c*f+g)/(c*d+e)/(c*f-g)))/sqrt(-c*(c*d+e))/(-d*g+e*f)^2/sqrt(-c^2*x^2+1),1],
[(a+b*arcsin(c*x))/(e*x+d)^(5/2)/(g*x+f)^(3/2),x,17,2*(a+b*arcsin(c*x))/(-d*g+e*f)/(e*x+d)^(3/2)/sqrt(g*x+f)-8/3*e*sqrt(g*x+f)*(a+b*arcsin(c*x))/(-d*g+e*f)^2/(e*x+d)^(3/2)+16/3*e*g*sqrt(g*x+f)*(a+b*arcsin(c*x))/(-d*g+e*f)^3/sqrt(e*x+d)+4/3*sqrt(2)*b*c^(3/2)*e*sqrt(-c^2*x-c)*sqrt((c*d-e)*(-c*x+1)/c/(e*x+d))*sqrt(g*x+f)*EllipticE(sin(arcsin(sqrt(d*g-e*f)*sqrt(-c^2*x-c)/sqrt(c)/sqrt(c*f-g)/sqrt(e*x+d))),sqrt(1/2*(c*d+e)*(c*f-g)/c/(-d*g+e*f)))/(c^2*d^2-e^2)/sqrt(c*f-g)/(d*g-e*f)^(3/2)/sqrt((c*d-e)*(g*x+f)/(c*f-g)/(e*x+d))/sqrt(-c^2*x^2+1)-2/3*sqrt(2)*b*sqrt(c)*e*(c*f+g)*sqrt(-c^2*x-c)*sqrt((c*d-e)*(-c*x+1)/c/(e*x+d))*sqrt(g*x+f)*InverseJacobiAM(arcsin(sqrt(d*g-e*f)*sqrt(-c^2*x-c)/sqrt(c)/sqrt(c*f-g)/sqrt(e*x+d)),sqrt(1/2*(c*d+e)*(c*f-g)/c/(-d*g+e*f)))/(c*d+e)/sqrt(c*f-g)/(d*g-e*f)^(5/2)/sqrt((c*d-e)*(g*x+f)/(c*f-g)/(e*x+d))/sqrt(-c^2*x^2+1)-4*b*c*g*sqrt(c*f+g)*(e*x+d)*sqrt(-(-d*g+e*f)^2*(-c^2*x^2+1)/(c^2*f^2-g^2)/(e*x+d)^2)*sqrt(1-(c*d-e)*(g*x+f)/(c*f-g)/(e*x+d))*sqrt(1-(c*d+e)*(g*x+f)/(c*f+g)/(e*x+d))*InverseJacobiAM(arcsin(sqrt(c*d+e)*sqrt(g*x+f)/sqrt(c*f+g)/sqrt(e*x+d)),sqrt((c*d-e)*(c*f+g)/(c*d+e)/(c*f-g)))/sqrt(c*d+e)/(-d*g+e*f)^3/sqrt(-c^2*x^2+1)/sqrt(1-2*(c^2*d*f-e*g)*(g*x+f)/(c^2*f^2-g^2)/(e*x+d)+(c^2*d^2-e^2)*(g*x+f)^2/(c^2*f^2-g^2)/(e*x+d)^2)-32/3*b*c*sqrt(-c*(c*d+e))*g*sqrt((-d*g+e*f)*(-c*x+1)/(c*d+e)/(g*x+f))*sqrt(-(-d*g+e*f)*(c*x+1)/(c*d-e)/(g*x+f))*(g*x+f)*EllipticPi(sin(arcsin(sqrt(-c*(c*f+g))*sqrt(e*x+d)/sqrt(-c*(c*d+e))/sqrt(g*x+f))),(c*d+e)*g/e/(c*f+g),sqrt((c*d+e)*(c*f-g)/(c*d-e)/(c*f+g)))/sqrt(-c*(c*f+g))/(-d*g+e*f)^3/sqrt(-c^2*x^2+1),1],
[(a+b*arcsin(c*x))/(e*x+d)^(5/2)/(g*x+f)^(5/2),x,0,0,1],
[(g*x+f)^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(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*arcsin(c*x))-3/8*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^2+3/4*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))-f^2*g*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/c^2/d-1/3*g^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/c^4/d+1/5*g^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/c^4/d^2+1/4*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(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*arcsin(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*arcsin(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*arcsin(c*x))-1/8*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^2+1/4*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))-2/3*f*g*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/c^2/d+1/4*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1)+1/16*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(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*arcsin(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*arcsin(c*x))-1/3*g*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/c^2/d+1/4*f*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arcsin(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)*arcsin(c*x)/g+1/2*c*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(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*arcsin(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*arcsin(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)*arcsin(c*x)*ln(1-I*exp(I*arcsin(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)*arcsin(c*x)*ln(1-I*exp(I*arcsin(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,I*exp(I*arcsin(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,I*exp(I*arcsin(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*arcsin(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)*arcsin(c*x)/g/(g*x+f)-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)-1/2*b*c^3*f^2*sqrt(-c^2*d*x^2+d)*arcsin(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*arcsin(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*arcsin(c*x))^2/b/c/(g*x+f)^2+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)*arcsin(c*x)*ln(1-I*exp(I*arcsin(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)*arcsin(c*x)*ln(1-I*exp(I*arcsin(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,I*exp(I*arcsin(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,I*exp(I*arcsin(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*arcsin(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*arcsin(c*x))-3/16*d*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^2+3/8*d*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))+1/4*f^3*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))+1/2*f*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))-3/5*f^2*g*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/c^2/d-1/5*g^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/c^4/d+1/7*g^3*(-c^2*d*x^2+d)^(7/2)*(a+b*arcsin(c*x))/c^4/d^2+3/16*d*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(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*arcsin(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*arcsin(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*arcsin(c*x))-1/16*d*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^2+1/8*d*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))+1/4*f^2*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))+1/6*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))-2/5*f*g*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/c^2/d+3/16*d*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(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*arcsin(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*arcsin(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*arcsin(c*x))+1/4*f*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))-1/5*g*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/c^2/d+3/16*d*f*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(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)*arcsin(c*x)/g^3+1/2*c^2*d*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g^2+1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/g+1/4*c*d*f*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(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*arcsin(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*arcsin(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*arcsin(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)*arcsin(c*x)*ln(1-I*exp(I*arcsin(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)*arcsin(c*x)*ln(1-I*exp(I*arcsin(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,I*exp(I*arcsin(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,I*exp(I*arcsin(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*arcsin(c*x)),x,30,5/96*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*arcsin(c*x))-3/7*f^2*g*(-c^2*d*x^2+d)^(7/2)*(a+b*arcsin(c*x))/c^2/d+15/64*d^2*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))+1/6*f^3*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))-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)+2/63*b*d^2*g^3*x*sqrt(-c^2*d*x^2+d)/c^3/sqrt(-c^2*x^2+1)-15/128*d^2*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^2+5/32*d^2*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1)+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)+15/256*d^2*f*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/b/c^3/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)+5/24*d*f^3*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))+3/8*f*g^2*x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))-1/7*g^3*(-c^2*d*x^2+d)^(7/2)*(a+b*arcsin(c*x))/c^4/d+1/9*g^3*(-c^2*d*x^2+d)^(9/2)*(a+b*arcsin(c*x))/c^4/d^2+5/16*d^2*f^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x)),1],
[(g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(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*arcsin(c*x))-5/128*d^2*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^2+5/64*d^2*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))+5/24*d*f^2*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))+5/48*d*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))+1/6*f^2*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))+1/8*g^2*x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))-2/7*f*g*(-c^2*d*x^2+d)^(7/2)*(a+b*arcsin(c*x))/c^2/d+5/32*d^2*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(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*arcsin(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*arcsin(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*arcsin(c*x))+5/24*d*f*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))+1/6*f*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))-1/7*g*(-c^2*d*x^2+d)^(7/2)*(a+b*arcsin(c*x))/c^2/d+5/32*d^2*f*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))/(g*x+f),x,37,b*d^2*(c^2*f^2-g^2)^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g^5+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)-1/2*c^2*d^2*f*(c^2*f^2-2*g^2)*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g^4-1/16*c*d^2*f*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/b/g^2/sqrt(-c^2*x^2+1)+1/5*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(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*arcsin(c*x))/g^3-1/3*d*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))/g+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)-1/4*c*d^2*f*(c^2*f^2-2*g^2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(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*arcsin(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*arcsin(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*arcsin(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)*arcsin(c*x)*ln(1-I*exp(I*arcsin(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)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^6/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,I*exp(I*arcsin(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,I*exp(I*arcsin(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*arcsin(c*x))/g^2-1/4*c^4*d^2*f*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g^2,1],
[(g*x+f)^3*(a+b*arcsin(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*arcsin(c*x))/c^2/d-2/3*g^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^4/d-3/2*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^2/d-1/3*g^3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^2/d+1/2*f^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(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*arcsin(c*x))^2/b/c^3/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^2*(a+b*arcsin(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*arcsin(c*x))/c^2/d-1/2*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^2/d+1/2*f^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*d*x^2+d)+1/4*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/b/c^3/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)*(a+b*arcsin(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*arcsin(c*x))/c^2/d+1/2*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*d*x^2+d),1],
[(a+b*arcsin(c*x))/(g*x+f)/sqrt(-c^2*d*x^2+d),x,10,-I*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(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*arcsin(c*x))*ln(1-I*exp(I*arcsin(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,I*exp(I*arcsin(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,I*exp(I*arcsin(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*arcsin(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*arcsin(c*x))/d/(c^2*f^2-g^2)/(g*x+f)-I*c^2*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(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*arcsin(c*x))*ln(1-I*exp(I*arcsin(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,I*exp(I*arcsin(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,I*exp(I*arcsin(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],
[(g*x+f)^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x,11,-b*g^3*x*sqrt(-c^2*x^2+1)/c^3/d/sqrt(-c^2*d*x^2+d)+(g*(3*c^2*f^2+g^2)+c^2*f*(c^2*f^2+3*g^2)*x)*(a+b*arcsin(c*x))/c^4/d/sqrt(-c^2*d*x^2+d)+g^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^4/d^2-3/2*f*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/b/c^3/d/sqrt(-c^2*d*x^2+d)+1/2*b*(c*f+g)^3*sqrt(-c^2*x^2+1)*ln(-c*x+1)/c^4/d/sqrt(-c^2*d*x^2+d)+1/2*b*(c*f-g)^3*sqrt(-c^2*x^2+1)*ln(c*x+1)/c^4/d/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x,8,(2*f*g+(c^2*f^2+g^2)*x)*(a+b*arcsin(c*x))/c^2/d/sqrt(-c^2*d*x^2+d)-1/2*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/b/c^3/d/sqrt(-c^2*d*x^2+d)+1/2*b*(c*f+g)^2*sqrt(-c^2*x^2+1)*ln(-c*x+1)/c^3/d/sqrt(-c^2*d*x^2+d)+1/2*b*(c*f-g)^2*sqrt(-c^2*x^2+1)*ln(c*x+1)/c^3/d/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(3/2),x,6,(c^2*f*x+g)*(a+b*arcsin(c*x))/c^2/d/sqrt(-c^2*d*x^2+d)+1/2*b*(c*f+g)*sqrt(-c^2*x^2+1)*ln(-c*x+1)/c^2/d/sqrt(-c^2*d*x^2+d)+1/2*b*(c*f-g)*sqrt(-c^2*x^2+1)*ln(c*x+1)/c^2/d/sqrt(-c^2*d*x^2+d),1],
[(a+b*arcsin(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(3/2),x,20,-1/2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*cot(1/4*Pi+1/2*arcsin(c*x))/d/(c*f-g)/sqrt(-c^2*d*x^2+d)+I*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)-I*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)+b*sqrt(-c^2*x^2+1)*ln(cos(1/4*Pi+1/2*arcsin(c*x)))/d/(c*f+g)/sqrt(-c^2*d*x^2+d)+b*sqrt(-c^2*x^2+1)*ln(sin(1/4*Pi+1/2*arcsin(c*x)))/d/(c*f-g)/sqrt(-c^2*d*x^2+d)+b*g^2*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)-b*g^2*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)+1/2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*tan(1/4*Pi+1/2*arcsin(c*x))/d/(c*f+g)/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^4*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x,9,-1/6*b*(c^4*f^4+6*c^2*f^2*g^2+g^4)/c^5/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)-2/3*b*f*g*(c^2*f^2+g^2)*x/c^3/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)-1/2*b*g^4*sqrt(-c^2*x^2+1)*arcsin(c*x)^2/c^5/d^2/sqrt(-c^2*d*x^2+d)-4*f*g^3*(a+b*arcsin(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)+2/3*(c^4*f^4-3*c^2*f^2*g^2-2*g^4)*x*(a+b*arcsin(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)+4/3*f*g*(c^2*f^2+g^2)*(a+b*arcsin(c*x))/c^4/d^2/(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+1/3*(c^4*f^4+6*c^2*f^2*g^2+g^4)*x*(a+b*arcsin(c*x))/c^4/d^2/(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+g^4*sqrt(-c^2*x^2+1)*arcsin(c*x)*(a+b*arcsin(c*x))/c^5/d^2/sqrt(-c^2*d*x^2+d)-2/3*b*f*g*(c^2*f^2-5*g^2)*sqrt(-c^2*x^2+1)*arctanh(c*x)/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/3*b*(c^4*f^4-3*c^2*f^2*g^2-2*g^4)*sqrt(-c^2*x^2+1)*ln(-c^2*x^2+1)/c^5/d^2/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^3*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x,8,-1/6*b*(g*x+f)^3/c/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)-1/6*b*g^3*x*sqrt(-c^2*x^2+1)/c^3/d^2/sqrt(-c^2*d*x^2+d)+2/3*(c*f-g)*(c*f+g)*(c^2*f*x+g)*(a+b*arcsin(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/3*(c^2*f*x+g)*(g*x+f)^2*(a+b*arcsin(c*x))/c^2/d^2/(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+1/12*b*(4*c*f-5*g)*(c*f+g)^2*sqrt(-c^2*x^2+1)*ln(-c*x+1)/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/12*b*(c*f-g)^2*(4*c*f+5*g)*sqrt(-c^2*x^2+1)*ln(c*x+1)/c^4/d^2/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^2*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x,10,-1/6*b*(g*x+f)^2/c/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+2/3*f*(c^2*f*x+g)*(a+b*arcsin(c*x))/c^2/d^2/sqrt(-c^2*d*x^2+d)+1/3*x*(g*x+f)^2*(a+b*arcsin(c*x))/d^2/(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+1/6*b*(2*c*f-g)*(c*f+g)*sqrt(-c^2*d*x^2+d)*ln(-c*x+1)/c^3/d^3/sqrt(-c^2*x^2+1)+1/6*b*(c*f-g)*(2*c*f+g)*sqrt(-c^2*d*x^2+d)*ln(c*x+1)/c^3/d^3/sqrt(-c^2*x^2+1),1],
[(g*x+f)*(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x,6,-1/6*b*(g*x+f)/c/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+1/3*(c^2*f*x+g)*(a+b*arcsin(c*x))/c^2/d/(-c^2*d*x^2+d)^(3/2)+2/3*f*x*(a+b*arcsin(c*x))/d^2/sqrt(-c^2*d*x^2+d)-1/6*b*g*sqrt(-c^2*x^2+1)*arctanh(c*x)/c^2/d^2/sqrt(-c^2*d*x^2+d)+1/3*b*f*sqrt(-c^2*x^2+1)*ln(-c^2*x^2+1)/c/d^2/sqrt(-c^2*d*x^2+d),1],
[(a+b*arcsin(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(5/2),x,30,-1/4*(c*f-2*g)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*cot(1/4*Pi+1/2*arcsin(c*x))/d^2/(c*f-g)^2/sqrt(-c^2*d*x^2+d)-1/12*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*cot(1/4*Pi+1/2*arcsin(c*x))/d^2/(c*f-g)/sqrt(-c^2*d*x^2+d)-1/24*b*sqrt(-c^2*x^2+1)*csc(1/4*Pi+1/2*arcsin(c*x))^2/d^2/(c*f-g)/sqrt(-c^2*d*x^2+d)-1/24*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*cot(1/4*Pi+1/2*arcsin(c*x))*csc(1/4*Pi+1/2*arcsin(c*x))^2/d^2/(c*f-g)/sqrt(-c^2*d*x^2+d)+I*g^4*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/d^2/(c*f-g)^2/(c*f+g)^2/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)-I*g^4*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/d^2/(c*f-g)^2/(c*f+g)^2/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)+1/6*b*sqrt(-c^2*x^2+1)*ln(cos(1/4*Pi+1/2*arcsin(c*x)))/d^2/(c*f+g)/sqrt(-c^2*d*x^2+d)+1/2*b*(c*f+2*g)*sqrt(-c^2*x^2+1)*ln(cos(1/4*Pi+1/2*arcsin(c*x)))/d^2/(c*f+g)^2/sqrt(-c^2*d*x^2+d)+1/2*b*(c*f-2*g)*sqrt(-c^2*x^2+1)*ln(sin(1/4*Pi+1/2*arcsin(c*x)))/d^2/(c*f-g)^2/sqrt(-c^2*d*x^2+d)+1/6*b*sqrt(-c^2*x^2+1)*ln(sin(1/4*Pi+1/2*arcsin(c*x)))/d^2/(c*f-g)/sqrt(-c^2*d*x^2+d)-b*g^4*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/d^2/(c*f-g)^2/(c*f+g)^2/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)+b*g^4*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/d^2/(c*f-g)^2/(c*f+g)^2/sqrt(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)-1/24*b*sqrt(-c^2*x^2+1)*sec(1/4*Pi+1/2*arcsin(c*x))^2/d^2/(c*f+g)/sqrt(-c^2*d*x^2+d)+1/12*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*tan(1/4*Pi+1/2*arcsin(c*x))/d^2/(c*f+g)/sqrt(-c^2*d*x^2+d)+1/4*(c*f+2*g)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*tan(1/4*Pi+1/2*arcsin(c*x))/d^2/(c*f+g)^2/sqrt(-c^2*d*x^2+d)+1/24*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*sec(1/4*Pi+1/2*arcsin(c*x))^2*tan(1/4*Pi+1/2*arcsin(c*x))/d^2/(c*f+g)/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2,x,34,3/8*b*f*g^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-2/3*b*c*f^2*g*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-3/8*b*c*f*g^2*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+2*b*f^2*g*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)+1/8*f*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c^3/sqrt(-c^2*x^2+1)-3/64*b^2*f*g^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c^3/sqrt(-c^2*x^2+1)+4/15*b*g^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^3/sqrt(-c^2*x^2+1)-1/2*b*c*f^3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+2/45*b*g^3*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-2/25*b*c*g^3*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+52/225*b^2*g^3*sqrt(-c^2*d*x^2+d)/c^4-1/4*b^2*f^3*x*sqrt(-c^2*d*x^2+d)-2/15*g^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^4+1/2*f^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+1/5*g^3*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+26/675*b^2*g^3*(-c^2*d*x^2+d)^(3/2)/c^4/d-2/125*b^2*g^3*(-c^2*d*x^2+d)^(5/2)/c^4/d^2+4/3*b^2*f^2*g*sqrt(-c^2*d*x^2+d)/c^2-3/32*b^2*f*g^2*x^3*sqrt(-c^2*d*x^2+d)-1/15*g^3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2+3/4*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+2/9*b^2*f^2*g*(-c^2*d*x^2+d)^(3/2)/c^2/d+3/64*b^2*f*g^2*x*sqrt(-c^2*d*x^2+d)/c^2-f^2*g*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/c^2/d-3/8*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2+1/4*b^2*f^3*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+1/6*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[(g*x+f)^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2,x,23,8/9*b^2*f*g*sqrt(-c^2*d*x^2+d)/c^2-1/4*b^2*f^2*x*sqrt(-c^2*d*x^2+d)+1/64*b^2*g^2*x*sqrt(-c^2*d*x^2+d)/c^2-1/32*b^2*g^2*x^3*sqrt(-c^2*d*x^2+d)+4/27*b^2*f*g*(-c^2*d*x^2+d)^(3/2)/c^2/d+1/4*b^2*f^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)-1/64*b^2*g^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c^3/sqrt(-c^2*x^2+1)+4/3*b*f*g*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-1/2*b*c*f^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/8*b*g^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-4/9*b*c*f*g*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-1/8*b*c*g^2*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/2*f^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2-1/8*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2+1/4*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2-2/3*f*g*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/c^2/d+1/6*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1)+1/24*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c^3/sqrt(-c^2*x^2+1),1],
[(g*x+f)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2,x,13,4/9*b^2*g*sqrt(-c^2*d*x^2+d)/c^2-1/4*b^2*f*x*sqrt(-c^2*d*x^2+d)+2/27*b^2*g*(-c^2*d*x^2+d)^(3/2)/c^2/d+1/4*b^2*f*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+2/3*b*g*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-1/2*b*c*f*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-2/9*b*c*g*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/2*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2-1/3*g*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/c^2/d+1/6*f*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/(g*x+f),x,36,a^2*sqrt(-c^2*d*x^2+d)/g-2*b^2*sqrt(-c^2*d*x^2+d)/g-2*a*b*c*x*sqrt(-c^2*d*x^2+d)/g/sqrt(-c^2*x^2+1)+2*a*b*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g-2*b^2*c*x*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g/sqrt(-c^2*x^2+1)+b^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)^2/g+1/3*c*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/g/sqrt(-c^2*x^2+1)-1/3*(1-c^2*f^2/g^2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/(g*x+f)/sqrt(-c^2*x^2+1)+1/3*sqrt(-c^2*x^2+1)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/(g*x+f)-a^2*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)-2*I*b^2*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)+2*I*b^2*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)+2*I*a*b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)-I*b^2*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)^2*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)+2*a*b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)+2*b^2*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)-2*a*b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)-2*b^2*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)-2*I*a*b*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1)+I*b^2*sqrt(c^2*f^2-g^2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)^2*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^2/sqrt(-c^2*x^2+1),1],
[(g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x,53,8/75*b^2*f^2*g*(-c^2*d*x^2+d)^(3/2)/c^2+38/6125*b^2*g^3*(-c^2*d*x^2+d)^(5/2)/c^4/d-2/343*b^2*g^3*(-c^2*d*x^2+d)^(7/2)/c^4/d^2+304/3675*b^2*d*g^3*sqrt(-c^2*d*x^2+d)/c^4-15/64*b^2*d*f^3*x*sqrt(-c^2*d*x^2+d)+1/2*f*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2-2/35*d*g^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^4+3/8*d*f^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+3/35*d*g^3*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+152/11025*b^2*g^3*(-c^2*d*x^2+d)^(3/2)/c^4-1/32*b^2*f^3*x*(-c^2*d*x^2+d)^(3/2)+1/4*f^3*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2+1/7*g^3*x^4*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2-7/384*b^2*d*f*g^2*x*sqrt(-c^2*d*x^2+d)/c^2+1/36*b^2*c^2*d*f*g^2*x^5*sqrt(-c^2*d*x^2+d)+1/8*b*d*f^3*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c-3/16*d*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2+9/64*b^2*d*f^3*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+1/8*d*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1)+6/125*b^2*f^2*g*(-c^2*d*x^2+d)^(5/2)/c^2/d+16/25*b^2*d*f^2*g*sqrt(-c^2*d*x^2+d)/c^2-43/576*b^2*d*f*g^2*x^3*sqrt(-c^2*d*x^2+d)-3/5*f^2*g*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2/c^2/d-1/35*d*g^3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2+3/8*d*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+6/5*b*d*f^2*g*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)+3/16*b*d*f*g^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-4/5*b*c*d*f^2*g*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-7/16*b*c*d*f*g^2*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+6/25*b*c^3*d*f^2*g*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/6*b*c^3*d*f*g^2*x^6*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+7/384*b^2*d*f*g^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c^3/sqrt(-c^2*x^2+1)+4/35*b*d*g^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^3/sqrt(-c^2*x^2+1)-3/8*b*c*d*f^3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+2/105*b*d*g^3*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-16/175*b*c*d*g^3*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+2/49*b*c^3*d*g^3*x^7*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/16*d*f*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c^3/sqrt(-c^2*x^2+1),1],
[(g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x,36,16/225*b^2*f*g*(-c^2*d*x^2+d)^(3/2)/c^2+1/4*f^2*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2+1/6*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2-1/32*b^2*f^2*x*(-c^2*d*x^2+d)^(3/2)-3/8*b*c*d*f^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/16*b*d*g^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-7/48*b*c*d*g^2*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/18*b*c^3*d*g^2*x^6*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/8*b*d*f^2*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c+1/8*d*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1)+1/48*d*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c^3/sqrt(-c^2*x^2+1)+9/64*b^2*d*f^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+7/1152*b^2*d*g^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c^3/sqrt(-c^2*x^2+1)+4/125*b^2*f*g*(-c^2*d*x^2+d)^(5/2)/c^2/d+1/108*b^2*c^2*d*g^2*x^5*sqrt(-c^2*d*x^2+d)+32/75*b^2*d*f*g*sqrt(-c^2*d*x^2+d)/c^2-7/1152*b^2*d*g^2*x*sqrt(-c^2*d*x^2+d)/c^2-2/5*f*g*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2/c^2/d-1/16*d*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2-15/64*b^2*d*f^2*x*sqrt(-c^2*d*x^2+d)-43/1728*b^2*d*g^2*x^3*sqrt(-c^2*d*x^2+d)+3/8*d*f^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+1/8*d*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2-8/15*b*c*d*f*g*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+4/25*b*c^3*d*f*g*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+4/5*b*d*f*g*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1),1],
[(g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x,19,16/75*b^2*d*g*sqrt(-c^2*d*x^2+d)/c^2-15/64*b^2*d*f*x*sqrt(-c^2*d*x^2+d)+8/225*b^2*g*(-c^2*d*x^2+d)^(3/2)/c^2-1/32*b^2*f*x*(-c^2*d*x^2+d)^(3/2)+2/125*b^2*g*(-c^2*d*x^2+d)^(5/2)/c^2/d+9/64*b^2*d*f*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+2/5*b*d*g*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-3/8*b*c*d*f*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-4/15*b*c*d*g*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+2/25*b*c^3*d*g*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/8*b*d*f*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c+3/8*d*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+1/4*f*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2-1/5*g*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2/c^2/d+1/8*d*f*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/(g*x+f),x,48,2*I*b^2*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)-2*I*b^2*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)+2*a*b*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)-2*a*b*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)-2*a*b*d*(c*f-g)*(c*f+g)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g^3+1/4*b^2*c*d*f*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g^2/sqrt(-c^2*x^2+1)-2/3*b*c*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g/sqrt(-c^2*x^2+1)+2/9*b*c^3*d*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g/sqrt(-c^2*x^2+1)+1/6*c*d*f*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/g^2/sqrt(-c^2*x^2+1)+2*b^2*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)+1/3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2/g-2/27*b^2*(-c^2*d*x^2+d)^(3/2)/g-1/3*d*(c^2*f^2-g^2)^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/g^4/(g*x+f)/sqrt(-c^2*x^2+1)+I*b^2*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)^2*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)-I*b^2*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)^2*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)-1/2*b*c^3*d*f*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g^2/sqrt(-c^2*x^2+1)-4/9*b^2*d*sqrt(-c^2*d*x^2+d)/g-1/4*b^2*c^2*d*f*x*sqrt(-c^2*d*x^2+d)/g^2+a^2*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)+1/2*c^2*d*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/g^2-b^2*d*(c*f-g)*(c*f+g)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)^2/g^3-2*b^2*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)+2*a*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)+2*b^2*c*d*(c*f-g)*(c*f+g)*x*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g^3/sqrt(-c^2*x^2+1)-1/3*c*d*(c*f-g)*(c*f+g)*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/g^3/sqrt(-c^2*x^2+1)-1/3*d*(c*f-g)*(c*f+g)*sqrt(-c^2*x^2+1)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/g^2/(g*x+f)+2*I*a*b*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)-2*I*a*b*d*(c^2*f^2-g^2)^(3/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^4/sqrt(-c^2*x^2+1)-a^2*d*(c*f-g)*(c*f+g)*sqrt(-c^2*d*x^2+d)/g^3+2*b^2*d*(c*f-g)*(c*f+g)*sqrt(-c^2*d*x^2+d)/g^3,1],
[(g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x,73,80/11907*b^2*d*g^3*(-c^2*d*x^2+d)^(3/2)/c^4-65/1728*b^2*d*f^3*x*(-c^2*d*x^2+d)^(3/2)+36/1225*b^2*f^2*g*(-c^2*d*x^2+d)^(5/2)/c^2+50/27783*b^2*g^3*(-c^2*d*x^2+d)^(7/2)/c^4/d-2/729*b^2*g^3*(-c^2*d*x^2+d)^(9/2)/c^4/d^2+160/3969*b^2*d^2*g^3*sqrt(-c^2*d*x^2+d)/c^4-245/1152*b^2*d^2*f^3*x*sqrt(-c^2*d*x^2+d)-359/12288*b^2*d^2*f*g^2*x*sqrt(-c^2*d*x^2+d)/c^2+209/4608*b^2*c^2*d^2*f*g^2*x^5*sqrt(-c^2*d*x^2+d)-3/256*b^2*c^4*d^2*f*g^2*x^7*sqrt(-c^2*d*x^2+d)+5/48*b*d^2*f^3*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c+1/18*b*d^2*f^3*(-c^2*x^2+1)^(5/2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c-15/128*d^2*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2+115/1152*b^2*d^2*f^3*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+5/48*d^2*f^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1)+4/1323*b^2*g^3*(-c^2*d*x^2+d)^(5/2)/c^4-1/108*b^2*f^3*x*(-c^2*d*x^2+d)^(5/2)+1/6*f^3*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2+1/9*g^3*x^4*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2+16/245*b^2*d*f^2*g*(-c^2*d*x^2+d)^(3/2)/c^2+6/343*b^2*f^2*g*(-c^2*d*x^2+d)^(7/2)/c^2/d+96/245*b^2*d^2*f^2*g*sqrt(-c^2*d*x^2+d)/c^2-1079/18432*b^2*d^2*f*g^2*x^3*sqrt(-c^2*d*x^2+d)+5/16*d*f*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2-3/7*f^2*g*(-c^2*d*x^2+d)^(7/2)*(a+b*arcsin(c*x))^2/c^2/d-1/63*d^2*g^3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2+15/64*d^2*f*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+18/35*b*c^3*d^2*f^2*g*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+17/48*b*c^3*d^2*f*g^2*x^6*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-6/49*b*c^5*d^2*f^2*g*x^7*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-3/32*b*c^5*d^2*f*g^2*x^8*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+6/7*b*d^2*f^2*g*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)+15/128*b*d^2*f*g^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-6/7*b*c*d^2*f^2*g*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-59/128*b*c*d^2*f*g^2*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+5/24*d*f^3*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2+5/63*d*g^3*x^4*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2+3/8*f*g^2*x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2-2/63*d^2*g^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^4+5/16*d^2*f^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+1/21*d^2*g^3*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+359/12288*b^2*d^2*f*g^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c^3/sqrt(-c^2*x^2+1)+4/63*b*d^2*g^3*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c^3/sqrt(-c^2*x^2+1)-5/16*b*c*d^2*f^3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+2/189*b*d^2*g^3*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-2/21*b*c*d^2*g^3*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+38/441*b*c^3*d^2*g^3*x^7*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-2/81*b*c^5*d^2*g^3*x^9*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+5/128*d^2*f*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c^3/sqrt(-c^2*x^2+1),1],
[(g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x,50,1/6*f^2*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2+1/8*g^2*x^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2-1/108*b^2*f^2*x*(-c^2*d*x^2+d)^(5/2)+115/1152*b^2*d^2*f^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+359/36864*b^2*d^2*g^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c^3/sqrt(-c^2*x^2+1)+5/48*d^2*f^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1)+5/384*d^2*g^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c^3/sqrt(-c^2*x^2+1)+5/48*b*d^2*f^2*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c+1/18*b*d^2*f^2*(-c^2*x^2+1)^(5/2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c+4/7*b*d^2*f*g*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-4/7*b*c*d^2*f*g*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-65/1728*b^2*d*f^2*x*(-c^2*d*x^2+d)^(3/2)+24/1225*b^2*f*g*(-c^2*d*x^2+d)^(5/2)/c^2-5/16*b*c*d^2*f^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+5/128*b*d^2*g^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-59/384*b*c*d^2*g^2*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+17/144*b*c^3*d^2*g^2*x^6*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-1/32*b*c^5*d^2*g^2*x^8*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+12/35*b*c^3*d^2*f*g*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-4/49*b*c^5*d^2*f*g*x^7*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-245/1152*b^2*d^2*f^2*x*sqrt(-c^2*d*x^2+d)-1079/55296*b^2*d^2*g^2*x^3*sqrt(-c^2*d*x^2+d)+5/24*d*f^2*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2+5/48*d*g^2*x^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2+5/16*d^2*f^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+5/64*d^2*g^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+32/735*b^2*d*f*g*(-c^2*d*x^2+d)^(3/2)/c^2+4/343*b^2*f*g*(-c^2*d*x^2+d)^(7/2)/c^2/d+64/245*b^2*d^2*f*g*sqrt(-c^2*d*x^2+d)/c^2-359/36864*b^2*d^2*g^2*x*sqrt(-c^2*d*x^2+d)/c^2+209/13824*b^2*c^2*d^2*g^2*x^5*sqrt(-c^2*d*x^2+d)-1/256*b^2*c^4*d^2*g^2*x^7*sqrt(-c^2*d*x^2+d)-2/7*f*g*(-c^2*d*x^2+d)^(7/2)*(a+b*arcsin(c*x))^2/c^2/d-5/128*d^2*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2,1],
[(g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2,x,25,32/245*b^2*d^2*g*sqrt(-c^2*d*x^2+d)/c^2-245/1152*b^2*d^2*f*x*sqrt(-c^2*d*x^2+d)+16/735*b^2*d*g*(-c^2*d*x^2+d)^(3/2)/c^2-65/1728*b^2*d*f*x*(-c^2*d*x^2+d)^(3/2)+12/1225*b^2*g*(-c^2*d*x^2+d)^(5/2)/c^2-1/108*b^2*f*x*(-c^2*d*x^2+d)^(5/2)+2/343*b^2*g*(-c^2*d*x^2+d)^(7/2)/c^2/d+115/1152*b^2*d^2*f*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)+2/7*b*d^2*g*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c/sqrt(-c^2*x^2+1)-5/16*b*c*d^2*f*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-2/7*b*c*d^2*g*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+6/35*b*c^3*d^2*g*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)-2/49*b*c^5*d^2*g*x^7*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+5/48*b*d^2*f*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c+1/18*b*d^2*f*(-c^2*x^2+1)^(5/2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c+5/16*d^2*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+5/24*d*f*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2+1/6*f*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2-1/7*g*(-c^2*d*x^2+d)^(7/2)*(a+b*arcsin(c*x))^2/c^2/d+5/48*d^2*f*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))^2/(g*x+f),x,69,b^2*d^2*(c^2*f^2-g^2)^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)^2/g^5-1/15*c^2*d^2*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/g+1/5*c^4*d^2*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/g-2/125*b^2*(-c^2*d*x^2+d)^(5/2)/g-1/4*c^4*d^2*f*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/g^2-a^2*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)+2*a*b*d^2*(c^2*f^2-g^2)^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g^5+1/8*c^2*d^2*f*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/g^2-1/64*b^2*c^2*d^2*f*x*sqrt(-c^2*d*x^2+d)/g^2+1/32*b^2*c^4*d^2*f*x^3*sqrt(-c^2*d*x^2+d)/g^2+4/15*b*c*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g/sqrt(-c^2*x^2+1)+2/45*b*c^3*d^2*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g/sqrt(-c^2*x^2+1)-2/25*b*c^5*d^2*x^5*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g/sqrt(-c^2*x^2+1)-2*b^2*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)+2*b^2*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)-1/24*c*d^2*f*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/g^2/sqrt(-c^2*x^2+1)+2*I*b^2*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)-2*a*b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)+2*a*b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)-2*I*b^2*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)-1/2*c^2*d^2*f*(c^2*f^2-2*g^2)*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/g^4+1/64*b^2*c*d^2*f*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g^2/sqrt(-c^2*x^2+1)+1/4*b^2*c^2*d^2*f*(c^2*f^2-2*g^2)*x*sqrt(-c^2*d*x^2+d)/g^4-2*a*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)-I*b^2*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)^2*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)+I*b^2*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)^2*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)-1/4*b^2*c*d^2*f*(c^2*f^2-2*g^2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g^4/sqrt(-c^2*x^2+1)-2*b^2*c*d^2*(c^2*f^2-g^2)^2*x*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/g^5/sqrt(-c^2*x^2+1)+2/3*b*c*d^2*(c^2*f^2-2*g^2)*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g^3/sqrt(-c^2*x^2+1)-1/8*b*c^3*d^2*f*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g^2/sqrt(-c^2*x^2+1)-2/9*b*c^3*d^2*(c^2*f^2-2*g^2)*x^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g^3/sqrt(-c^2*x^2+1)+1/8*b*c^5*d^2*f*x^4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g^2/sqrt(-c^2*x^2+1)-1/6*c*d^2*f*(c^2*f^2-2*g^2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/g^4/sqrt(-c^2*x^2+1)+1/3*c*d^2*(c^2*f^2-g^2)^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/g^5/sqrt(-c^2*x^2+1)+1/3*d^2*(c^2*f^2-g^2)^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/g^6/(g*x+f)/sqrt(-c^2*x^2+1)+1/3*d^2*(c^2*f^2-g^2)^2*sqrt(-c^2*x^2+1)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/g^4/(g*x+f)+a^2*d^2*(c^2*f^2-g^2)^2*sqrt(-c^2*d*x^2+d)/g^5+4/9*b^2*d^2*(c^2*f^2-2*g^2)*sqrt(-c^2*d*x^2+d)/g^3-2*b^2*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*arcsin(c*x))^2/g^3-2*I*a*b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)+2*I*a*b*d^2*(c^2*f^2-g^2)^(5/2)*sqrt(-c^2*d*x^2+d)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/g^6/sqrt(-c^2*x^2+1)+1/2*b*c^3*d^2*f*(c^2*f^2-2*g^2)*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/g^4/sqrt(-c^2*x^2+1)+26/675*b^2*d*(-c^2*d*x^2+d)^(3/2)/g+52/225*b^2*d^2*sqrt(-c^2*d*x^2+d)/g-2/15*d^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/g+2/27*b^2*d*(c^2*f^2-2*g^2)*(-c^2*d*x^2+d)^(3/2)/g^3,1],
[(g*x+f)^3*(a+b*arcsin(c*x))^2/sqrt(-c^2*d*x^2+d),x,17,6*b^2*f^2*g*sqrt(-c^2*d*x^2+d)/c^2/d+14/9*b^2*g^3*sqrt(-c^2*d*x^2+d)/c^4/d+3/4*b^2*f*g^2*x*sqrt(-c^2*d*x^2+d)/c^2/d-2/27*b^2*g^3*(-c^2*d*x^2+d)^(3/2)/c^4/d^2-3/4*b^2*f*g^2*sqrt(-c^2*x^2+1)*arcsin(c*x)/c^3/sqrt(-c^2*d*x^2+d)+6*b*f^2*g*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/sqrt(-c^2*d*x^2+d)+4/3*b*g^3*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3/sqrt(-c^2*d*x^2+d)+3/2*b*f*g^2*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/sqrt(-c^2*d*x^2+d)+2/9*b*g^3*x^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/sqrt(-c^2*d*x^2+d)-3*f^2*g*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2/d-2/3*g^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^4/d-3/2*f*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2/d-1/3*g^3*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2/d+1/3*f^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*d*x^2+d)+1/2*f*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c^3/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^2*(a+b*arcsin(c*x))^2/sqrt(-c^2*d*x^2+d),x,11,4*b^2*f*g*sqrt(-c^2*d*x^2+d)/c^2/d+1/4*b^2*g^2*x*sqrt(-c^2*d*x^2+d)/c^2/d-1/4*b^2*g^2*sqrt(-c^2*x^2+1)*arcsin(c*x)/c^3/sqrt(-c^2*d*x^2+d)+4*b*f*g*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/sqrt(-c^2*d*x^2+d)+1/2*b*g^2*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/sqrt(-c^2*d*x^2+d)-2*f*g*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2/d-1/2*g^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2/d+1/3*f^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*d*x^2+d)+1/6*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c^3/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)*(a+b*arcsin(c*x))^2/sqrt(-c^2*d*x^2+d),x,5,2*b^2*g*sqrt(-c^2*d*x^2+d)/c^2/d+2*b*g*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c/sqrt(-c^2*d*x^2+d)-g*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^2/d+1/3*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*d*x^2+d),1],
[(a+b*arcsin(c*x))^2/(g*x+f)/sqrt(-c^2*d*x^2+d),x,12,-I*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*ln(1-I*exp(I*arcsin(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*arcsin(c*x))^2*ln(1-I*exp(I*arcsin(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)-2*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*polylog(2,I*exp(I*arcsin(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)+2*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*polylog(2,I*exp(I*arcsin(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)-2*I*b^2*sqrt(-c^2*x^2+1)*polylog(3,I*exp(I*arcsin(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)+2*I*b^2*sqrt(-c^2*x^2+1)*polylog(3,I*exp(I*arcsin(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*arcsin(c*x))^2/(g*x+f)^2/sqrt(-c^2*d*x^2+d),x,20,I*c*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)+g*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/d/(c^2*f^2-g^2)/(g*x+f)-2*b*c*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)-I*c^2*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*ln(1-I*exp(I*arcsin(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)-2*b*c*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)+I*c^2*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*ln(1-I*exp(I*arcsin(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)+2*I*b^2*c*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)-2*b*c^2*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*polylog(2,I*exp(I*arcsin(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)+2*I*b^2*c*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/(c^2*f^2-g^2)/sqrt(-c^2*d*x^2+d)+2*b*c^2*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*polylog(2,I*exp(I*arcsin(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)-2*I*b^2*c^2*f*sqrt(-c^2*x^2+1)*polylog(3,I*exp(I*arcsin(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)+2*I*b^2*c^2*f*sqrt(-c^2*x^2+1)*polylog(3,I*exp(I*arcsin(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],
[(g*x+f)^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,16,-2*b^2*g^3*sqrt(-c^2*d*x^2+d)/c^4/d^2-2*b*g^3*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3/d/sqrt(-c^2*d*x^2+d)+g*(3*c^2*f^2+g^2)*(a+b*arcsin(c*x))^2/c^4/d/sqrt(-c^2*d*x^2+d)+f*(f^2+3*g^2/c^2)*x*(a+b*arcsin(c*x))^2/d/sqrt(-c^2*d*x^2+d)-I*f*(c^2*f^2+3*g^2)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c^3/d/sqrt(-c^2*d*x^2+d)+g^3*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/c^4/d^2-f*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c^3/d/sqrt(-c^2*d*x^2+d)+4*I*b*g*(3*c^2*f^2+g^2)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c^4/d/sqrt(-c^2*d*x^2+d)+2*b*f*(c^2*f^2+3*g^2)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c^3/d/sqrt(-c^2*d*x^2+d)-2*I*b^2*g*(3*c^2*f^2+g^2)*sqrt(-c^2*x^2+1)*polylog(2,-I*exp(I*arcsin(c*x)))/c^4/d/sqrt(-c^2*d*x^2+d)+2*I*b^2*g*(3*c^2*f^2+g^2)*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c^4/d/sqrt(-c^2*d*x^2+d)-I*b^2*f*(c^2*f^2+3*g^2)*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c^3/d/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,15,2*f*g*(a+b*arcsin(c*x))^2/c^2/d/sqrt(-c^2*d*x^2+d)+(c^2*f^2+g^2)*x*(a+b*arcsin(c*x))^2/c^2/d/sqrt(-c^2*d*x^2+d)-I*(c^2*f^2+g^2)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c^3/d/sqrt(-c^2*d*x^2+d)-1/3*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/b/c^3/d/sqrt(-c^2*d*x^2+d)+8*I*b*f*g*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c^2/d/sqrt(-c^2*d*x^2+d)+2*b*(c^2*f^2+g^2)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c^3/d/sqrt(-c^2*d*x^2+d)-4*I*b^2*f*g*sqrt(-c^2*x^2+1)*polylog(2,-I*exp(I*arcsin(c*x)))/c^2/d/sqrt(-c^2*d*x^2+d)+4*I*b^2*f*g*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c^2/d/sqrt(-c^2*d*x^2+d)-I*b^2*(c^2*f^2+g^2)*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c^3/d/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(3/2),x,12,g*(a+b*arcsin(c*x))^2/c^2/d/sqrt(-c^2*d*x^2+d)+f*x*(a+b*arcsin(c*x))^2/d/sqrt(-c^2*d*x^2+d)-I*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d/sqrt(-c^2*d*x^2+d)+4*I*b*g*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c^2/d/sqrt(-c^2*d*x^2+d)+2*b*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/d/sqrt(-c^2*d*x^2+d)-2*I*b^2*g*sqrt(-c^2*x^2+1)*polylog(2,-I*exp(I*arcsin(c*x)))/c^2/d/sqrt(-c^2*d*x^2+d)+2*I*b^2*g*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c^2/d/sqrt(-c^2*d*x^2+d)-I*b^2*f*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c/d/sqrt(-c^2*d*x^2+d),1],
[(a+b*arcsin(c*x))^2/(g*x+f)/(-c^2*d*x^2+d)^(3/2),x,28,-1/2*I*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/d/(c*f-g)/sqrt(-c^2*d*x^2+d)+1/2*I*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/d/(c*f+g)/sqrt(-c^2*d*x^2+d)-1/2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*cot(1/4*Pi+1/2*arcsin(c*x))/d/(c*f-g)/sqrt(-c^2*d*x^2+d)+2*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I/exp(I*arcsin(c*x)))/d/(c*f+g)/sqrt(-c^2*d*x^2+d)+2*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x)))/d/(c*f-g)/sqrt(-c^2*d*x^2+d)+I*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)-I*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)+2*I*b^2*sqrt(-c^2*x^2+1)*polylog(2,I/exp(I*arcsin(c*x)))/d/(c*f+g)/sqrt(-c^2*d*x^2+d)-2*I*b^2*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/d/(c*f-g)/sqrt(-c^2*d*x^2+d)+2*b*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)-2*b*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)+2*I*b^2*g^2*sqrt(-c^2*x^2+1)*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)-2*I*b^2*g^2*sqrt(-c^2*x^2+1)*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/d/(c^2*f^2-g^2)^(3/2)/sqrt(-c^2*d*x^2+d)+1/2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*tan(1/4*Pi+1/2*arcsin(c*x))/d/(c*f+g)/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^3*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,37,1/12*I*(c*f+g)^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c^4/d^2/sqrt(-c^2*d*x^2+d)-I*b^2*(c*f-g)^2*(c*f+2*g)*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d)+I*b^2*(c*f-2*g)*(c*f+g)^2*sqrt(-c^2*x^2+1)*polylog(2,I/exp(I*arcsin(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/4*I*(c*f-2*g)*(c*f+g)^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/6*b^2*(c*f-g)^3*sqrt(-c^2*x^2+1)*cot(1/4*Pi+1/2*arcsin(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/12*(c*f-g)^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*cot(1/4*Pi+1/2*arcsin(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/4*(c*f-g)^2*(c*f+2*g)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*cot(1/4*Pi+1/2*arcsin(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/12*b*(c*f-g)^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*csc(1/4*Pi+1/2*arcsin(c*x))^2/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/24*(c*f-g)^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*cot(1/4*Pi+1/2*arcsin(c*x))*csc(1/4*Pi+1/2*arcsin(c*x))^2/c^4/d^2/sqrt(-c^2*d*x^2+d)+b*(c*f-2*g)*(c*f+g)^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I/exp(I*arcsin(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/3*b*(c*f+g)^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I/exp(I*arcsin(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/3*b*(c*f-g)^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d)+b*(c*f-g)^2*(c*f+2*g)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1-I*exp(I*arcsin(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/4*I*(c*f-g)^2*(c*f+2*g)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/3*I*b^2*(c*f+g)^3*sqrt(-c^2*x^2+1)*polylog(2,I/exp(I*arcsin(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/12*I*(c*f-g)^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/3*I*b^2*(c*f-g)^3*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c^4/d^2/sqrt(-c^2*d*x^2+d)-1/12*b*(c*f+g)^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*sec(1/4*Pi+1/2*arcsin(c*x))^2/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/6*b^2*(c*f+g)^3*sqrt(-c^2*x^2+1)*tan(1/4*Pi+1/2*arcsin(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/4*(c*f-2*g)*(c*f+g)^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*tan(1/4*Pi+1/2*arcsin(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/12*(c*f+g)^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*tan(1/4*Pi+1/2*arcsin(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d)+1/24*(c*f+g)^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2*sec(1/4*Pi+1/2*arcsin(c*x))^2*tan(1/4*Pi+1/2*arcsin(c*x))/c^4/d^2/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)^2*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,24,2/3*b^2*f*g/c^2/d^2/sqrt(-c^2*d*x^2+d)+1/3*b^2*f^2*x/d^2/sqrt(-c^2*d*x^2+d)+1/3*b^2*g^2*x/c^2/d^2/sqrt(-c^2*d*x^2+d)-1/3*b^2*g^2*sqrt(-c^2*x^2+1)*arcsin(c*x)/c^3/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*f^2*(a+b*arcsin(c*x))/c/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)-2/3*b*f*g*x*(a+b*arcsin(c*x))/c/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)-1/3*b*g^2*x^2*(a+b*arcsin(c*x))/c/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+2/3*f*g*(a+b*arcsin(c*x))^2/c^2/d/(-c^2*d*x^2+d)^(3/2)+1/3*f^2*x*(a+b*arcsin(c*x))^2/d/(-c^2*d*x^2+d)^(3/2)+1/3*g^2*x^3*(a+b*arcsin(c*x))^2/d/(-c^2*d*x^2+d)^(3/2)+2/3*f^2*x*(a+b*arcsin(c*x))^2/d^2/sqrt(-c^2*d*x^2+d)+2/3*I*b^2*f*g*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c^2/d^2/sqrt(-c^2*d*x^2+d)-2/3*I*b^2*f*g*sqrt(-c^2*x^2+1)*polylog(2,-I*exp(I*arcsin(c*x)))/c^2/d^2/sqrt(-c^2*d*x^2+d)+1/3*I*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c^3/d^2/sqrt(-c^2*d*x^2+d)+4/3*b*f^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/d^2/sqrt(-c^2*d*x^2+d)-2/3*b*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c^3/d^2/sqrt(-c^2*d*x^2+d)+4/3*I*b*f*g*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c^2/d^2/sqrt(-c^2*d*x^2+d)+1/3*I*b^2*g^2*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c^3/d^2/sqrt(-c^2*d*x^2+d)-2/3*I*b^2*f^2*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c/d^2/sqrt(-c^2*d*x^2+d)-2/3*I*f^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d^2/sqrt(-c^2*d*x^2+d),1],
[(g*x+f)*(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^(5/2),x,17,1/3*b^2*g/c^2/d^2/sqrt(-c^2*d*x^2+d)+1/3*b^2*f*x/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*f*(a+b*arcsin(c*x))/c/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)-1/3*b*g*x*(a+b*arcsin(c*x))/c/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+1/3*g*(a+b*arcsin(c*x))^2/c^2/d/(-c^2*d*x^2+d)^(3/2)+1/3*f*x*(a+b*arcsin(c*x))^2/d/(-c^2*d*x^2+d)^(3/2)+2/3*f*x*(a+b*arcsin(c*x))^2/d^2/sqrt(-c^2*d*x^2+d)-2/3*I*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d^2/sqrt(-c^2*d*x^2+d)+2/3*I*b*g*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c^2/d^2/sqrt(-c^2*d*x^2+d)+4/3*b*f*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/d^2/sqrt(-c^2*d*x^2+d)-1/3*I*b^2*g*sqrt(-c^2*x^2+1)*polylog(2,-I*exp(I*arcsin(c*x)))/c^2/d^2/sqrt(-c^2*d*x^2+d)+1/3*I*b^2*g*sqrt(-c^2*x^2+1)*polylog(2,I*exp(I*arcsin(c*x)))/c^2/d^2/sqrt(-c^2*d*x^2+d)-2/3*I*b^2*f*sqrt(-c^2*x^2+1)*polylog(2,-exp(2*I*arcsin(c*x)))/c/d^2/sqrt(-c^2*d*x^2+d),1],
[(a+b*arcsin(c*x))^n*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,0,Defer(Int)((a+b*arcsin(c*x))^n*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x),0],
[(a+b*arcsin(c*x))^3*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,15,1/20*I*m*(a+b*arcsin(c*x))^5/b^2/c-1/4*m*(a+b*arcsin(c*x))^4*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/b/c-1/4*m*(a+b*arcsin(c*x))^4*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/b/c+1/4*(a+b*arcsin(c*x))^4*ln(h*(g*x+f)^m)/b/c+I*m*(a+b*arcsin(c*x))^3*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c+I*m*(a+b*arcsin(c*x))^3*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c-3*b*m*(a+b*arcsin(c*x))^2*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c-3*b*m*(a+b*arcsin(c*x))^2*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c-6*I*b^2*m*(a+b*arcsin(c*x))*polylog(4,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c-6*I*b^2*m*(a+b*arcsin(c*x))*polylog(4,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c+6*b^3*m*polylog(5,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c+6*b^3*m*polylog(5,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c,1],
[(a+b*arcsin(c*x))^2*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,13,1/12*I*m*(a+b*arcsin(c*x))^4/b^2/c-1/3*m*(a+b*arcsin(c*x))^3*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/b/c-1/3*m*(a+b*arcsin(c*x))^3*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/b/c+1/3*(a+b*arcsin(c*x))^3*ln(h*(g*x+f)^m)/b/c+I*m*(a+b*arcsin(c*x))^2*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c+I*m*(a+b*arcsin(c*x))^2*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c-2*b*m*(a+b*arcsin(c*x))*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c-2*b*m*(a+b*arcsin(c*x))*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c-2*I*b^2*m*polylog(4,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c-2*I*b^2*m*polylog(4,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c,1],
[(a+b*arcsin(c*x))*ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1),x,11,1/6*I*m*(a+b*arcsin(c*x))^3/b^2/c-1/2*m*(a+b*arcsin(c*x))^2*ln(1-I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/b/c-1/2*m*(a+b*arcsin(c*x))^2*ln(1-I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/b/c+1/2*(a+b*arcsin(c*x))^2*ln(h*(g*x+f)^m)/b/c+I*m*(a+b*arcsin(c*x))*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c+I*m*(a+b*arcsin(c*x))*polylog(2,I*exp(I*arcsin(c*x))*g/(c*f+sqrt(c^2*f^2-g^2)))/c-b*m*polylog(3,I*exp(I*arcsin(c*x))*g/(c*f-sqrt(c^2*f^2-g^2)))/c-b*m*polylog(3,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),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*arcsin(c*x)),x,0,Defer(Int)(ln(h*(g*x+f)^m)/sqrt(-c^2*x^2+1)/(a+b*arcsin(c*x)),x),0],
[(e*x+d)^3*(h*x^2+g*x+f)*(a+b*arcsin(c*x)),x,10,1/15*b*(15*c^4*d^3*f+3*e^2*(3*d*h+e*g)+5*c^2*d*(d^2*h+3*d*e*g+3*e^2*f))*sqrt(-c^2*x^2+1)/c^5+1/96*b*(24*c^4*d^2*(d*g+3*e*f)+5*e^3*h+9*c^2*e*(3*d^2*h+3*d*e*g+e^2*f))*x*sqrt(-c^2*x^2+1)/c^5+1/144*b*e*(5*e^2*h+9*c^2*(3*d^2*h+3*d*e*g+e^2*f))*x^3*sqrt(-c^2*x^2+1)/c^3+1/36*b*e^3*h*x^5*sqrt(-c^2*x^2+1)/c-1/45*b*(6*e^2*(3*d*h+e*g)+5*c^2*d*(d^2*h+3*d*e*g+3*e^2*f))*(-c^2*x^2+1)^(3/2)/c^5+1/25*b*e^2*(3*d*h+e*g)*(-c^2*x^2+1)^(5/2)/c^5-1/96*b*(24*c^4*d^2*(d*g+3*e*f)+5*e^3*h+9*c^2*e*(3*d^2*h+3*d*e*g+e^2*f))*arcsin(c*x)/c^6+d^3*f*x*(a+b*arcsin(c*x))+1/2*d^2*(d*g+3*e*f)*x^2*(a+b*arcsin(c*x))+1/3*d*(d^2*h+3*d*e*g+3*e^2*f)*x^3*(a+b*arcsin(c*x))+1/4*e*(3*d^2*h+3*d*e*g+e^2*f)*x^4*(a+b*arcsin(c*x))+1/5*e^2*(3*d*h+e*g)*x^5*(a+b*arcsin(c*x))+1/6*e^3*h*x^6*(a+b*arcsin(c*x)),1],
[(e*x+d)^2*(h*x^2+g*x+f)*(a+b*arcsin(c*x)),x,9,1/15*b*(15*c^4*d^2*f+3*e^2*h+5*c^2*(d^2*h+2*d*e*g+e^2*f))*sqrt(-c^2*x^2+1)/c^5+1/32*b*(8*c^2*d*(d*g+2*e*f)+3*e*(2*d*h+e*g))*x*sqrt(-c^2*x^2+1)/c^3+1/16*b*e*(2*d*h+e*g)*x^3*sqrt(-c^2*x^2+1)/c-1/45*b*(6*e^2*h+5*c^2*(d^2*h+2*d*e*g+e^2*f))*(-c^2*x^2+1)^(3/2)/c^5+1/25*b*e^2*h*(-c^2*x^2+1)^(5/2)/c^5-1/32*b*(8*c^2*d*(d*g+2*e*f)+3*e*(2*d*h+e*g))*arcsin(c*x)/c^4+d^2*f*x*(a+b*arcsin(c*x))+1/2*d*(d*g+2*e*f)*x^2*(a+b*arcsin(c*x))+1/3*(d^2*h+2*d*e*g+e^2*f)*x^3*(a+b*arcsin(c*x))+1/4*e*(2*d*h+e*g)*x^4*(a+b*arcsin(c*x))+1/5*e^2*h*x^5*(a+b*arcsin(c*x)),1],
[(e*x+d)*(h*x^2+g*x+f)*(a+b*arcsin(c*x)),x,9,1/3*b*(3*c^2*d*f+d*h+e*g)*sqrt(-c^2*x^2+1)/c^3+1/32*b*(8*c^2*(d*g+e*f)+3*e*h)*x*sqrt(-c^2*x^2+1)/c^3+1/16*b*e*h*x^3*sqrt(-c^2*x^2+1)/c-1/9*b*(d*h+e*g)*(-c^2*x^2+1)^(3/2)/c^3-1/32*b*(8*c^2*(d*g+e*f)+3*e*h)*arcsin(c*x)/c^4+d*f*x*(a+b*arcsin(c*x))+1/2*(d*g+e*f)*x^2*(a+b*arcsin(c*x))+1/3*(d*h+e*g)*x^3*(a+b*arcsin(c*x))+1/4*e*h*x^4*(a+b*arcsin(c*x)),1],
[(h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d),x,16,b*(-d*h+e*g)*sqrt(-c^2*x^2+1)/c/e^2+1/4*b*h*x*sqrt(-c^2*x^2+1)/c/e-1/4*b*h*arcsin(c*x)/c^2/e-1/2*I*b*(d^2*h-d*e*g+e^2*f)*arcsin(c*x)^2/e^3+(-d*h+e*g)*x*(a+b*arcsin(c*x))/e^2+1/2*h*x^2*(a+b*arcsin(c*x))/e+b*(d^2*h-d*e*g+e^2*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3+b*(d^2*h-d*e*g+e^2*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3-b*(d^2*h-d*e*g+e^2*f)*arcsin(c*x)*ln(e*x+d)/e^3+(d^2*h-d*e*g+e^2*f)*(a+b*arcsin(c*x))*ln(e*x+d)/e^3-I*b*(d^2*h-d*e*g+e^2*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3-I*b*(d^2*h-d*e*g+e^2*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3,1],
[(h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^2,x,16,b*h*sqrt(-c^2*x^2+1)/c/e^2-1/2*I*b*(-2*d*h+e*g)*arcsin(c*x)^2/e^3+h*x*(a+b*arcsin(c*x))/e^2-(d^2*h-d*e*g+e^2*f)*(a+b*arcsin(c*x))/e^3/(e*x+d)+b*c*(d^2*h-d*e*g+e^2*f)*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^3/sqrt(c^2*d^2-e^2)+b*(-2*d*h+e*g)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3+b*(-2*d*h+e*g)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3-b*(-2*d*h+e*g)*arcsin(c*x)*ln(e*x+d)/e^3+(-2*d*h+e*g)*(a+b*arcsin(c*x))*ln(e*x+d)/e^3-I*b*(-2*d*h+e*g)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3-I*b*(-2*d*h+e*g)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3,1],
[(h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^3,x,16,1/2*b*c*(d^2*h-d*e*g+e^2*f)*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)/(e*x+d)-1/2*I*b*h*arcsin(c*x)^2/e^3-1/2*(d^2*h-d*e*g+e^2*f)*(a+b*arcsin(c*x))/e^3/(e*x+d)^2-(-2*d*h+e*g)*(a+b*arcsin(c*x))/e^3/(e*x+d)-1/2*b*c*(2*e^2*(-2*d*h+e*g)-c^2*d*(-3*d^2*h+d*e*g+e^2*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^3/(c^2*d^2-e^2)^(3/2)+b*h*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3+b*h*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3-b*h*arcsin(c*x)*ln(e*x+d)/e^3+h*(a+b*arcsin(c*x))*ln(e*x+d)/e^3-I*b*h*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3-I*b*h*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3,1],
[(h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^4,x,6,1/6*b*c*(d^2*h-d*e*g+e^2*f)*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)/(e*x+d)^2-1/2*b*c*(e^2*(-2*d*h+e*g)-c^2*(-d^3*h+d*e^2*f))*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)^2/(e*x+d)-1/3*(d^2*h-d*e*g+e^2*f)*(a+b*arcsin(c*x))/e^3/(e*x+d)^3-1/2*(-2*d*h+e*g)*(a+b*arcsin(c*x))/e^3/(e*x+d)^2-h*(a+b*arcsin(c*x))/e^3/(e*x+d)+1/6*b*c*(6*e^4*h+c^2*e^2*(-5*d^2*h-4*d*e*g+e^2*f)+c^4*d^2*(2*d^2*h+d*e*g+2*e^2*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^3/(c^2*d^2-e^2)^(5/2),1],
[(h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^5,x,7,1/12*b*c*(d^2*h-d*e*g+e^2*f)*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)/(e*x+d)^3-1/24*b*c*(4*e^2*(-2*d*h+e*g)-c^2*d*(-3*d^2*h-d*e*g+5*e^2*f))*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)^2/(e*x+d)^2+1/24*b*c*(12*e^4*h+c^4*d^2*(-d^2*h+d*e*g+11*e^2*f)+4*c^2*e^2*(d^2*h-4*d*e*g+e^2*f))*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)^3/(e*x+d)-1/4*(d^2*h-d*e*g+e^2*f)*(a+b*arcsin(c*x))/e^3/(e*x+d)^4-1/3*(-2*d*h+e*g)*(a+b*arcsin(c*x))/e^3/(e*x+d)^3-1/2*h*(a+b*arcsin(c*x))/e^3/(e*x+d)^2-1/24*b*c^3*(4*e^4*(-5*d*h+e*g)-c^2*d*e^2*(-7*d^2*h-13*d*e*g+9*e^2*f)-2*c^4*d^3*(d^2*h+d*e*g+3*e^2*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^3/(c^2*d^2-e^2)^(7/2),1],
[(h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^6,x,8,1/20*b*c*(d^2*h-d*e*g+e^2*f)*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)/(e*x+d)^4-1/60*b*c*(5*e^2*(-2*d*h+e*g)-c^2*d*(-3*d^2*h-2*d*e*g+7*e^2*f))*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)^2/(e*x+d)^3+1/120*b*c*(20*e^4*h+c^4*d^2*(-4*d^2*h-d*e*g+26*e^2*f)+c^2*e^2*(19*d^2*h-34*d*e*g+9*e^2*f))*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)^3/(e*x+d)^2+1/24*b*c^3*(c^4*d^3*(d*g+10*e*f)-4*e^3*(-5*d*h+e*g)+c^2*d*e*(d^2*h-18*d*e*g+11*e^2*f))*sqrt(-c^2*x^2+1)/e/(c^2*d^2-e^2)^4/(e*x+d)-1/5*(d^2*h-d*e*g+e^2*f)*(a+b*arcsin(c*x))/e^3/(e*x+d)^5-1/4*(-2*d*h+e*g)*(a+b*arcsin(c*x))/e^3/(e*x+d)^4-1/3*h*(a+b*arcsin(c*x))/e^3/(e*x+d)^3+1/120*b*c^3*(20*e^6*h+3*c^4*d^2*e^2*(-6*d^2*h-19*d*e*g+24*e^2*f)+2*c^6*d^4*(2*d^2*h+3*d*e*g+12*e^2*f)+9*c^2*e^4*(11*d^2*h-6*d*e*g+e^2*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^3/(c^2*d^2-e^2)^(9/2),1],
[(e*x+d)^3*(i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x)),x,10,1/105*b*(105*c^6*d^3*f+35*c^4*d*(d^2*h+3*d*e*g+3*e^2*f)+15*e^3*i+21*c^2*e*(3*d^2*i+3*d*e*h+e^2*g))*sqrt(-c^2*x^2+1)/c^7+1/96*b*(24*c^4*d^2*(d*g+3*e*f)+5*e^2*(3*d*i+e*h)+9*c^2*(d^3*i+3*d^2*e*h+3*d*e^2*g+e^3*f))*x*sqrt(-c^2*x^2+1)/c^5+1/144*b*(5*e^2*(3*d*i+e*h)+9*c^2*(d^3*i+3*d^2*e*h+3*d*e^2*g+e^3*f))*x^3*sqrt(-c^2*x^2+1)/c^3+1/36*b*e^2*(3*d*i+e*h)*x^5*sqrt(-c^2*x^2+1)/c-1/315*b*(35*c^4*d*(d^2*h+3*d*e*g+3*e^2*f)+45*e^3*i+42*c^2*e*(3*d^2*i+3*d*e*h+e^2*g))*(-c^2*x^2+1)^(3/2)/c^7+1/175*b*e*(15*e^2*i+7*c^2*(3*d^2*i+3*d*e*h+e^2*g))*(-c^2*x^2+1)^(5/2)/c^7-1/49*b*e^3*i*(-c^2*x^2+1)^(7/2)/c^7-1/96*b*(24*c^4*d^2*(d*g+3*e*f)+5*e^2*(3*d*i+e*h)+9*c^2*(d^3*i+3*d^2*e*h+3*d*e^2*g+e^3*f))*arcsin(c*x)/c^6+d^3*f*x*(a+b*arcsin(c*x))+1/2*d^2*(d*g+3*e*f)*x^2*(a+b*arcsin(c*x))+1/3*d*(d^2*h+3*d*e*g+3*e^2*f)*x^3*(a+b*arcsin(c*x))+1/4*(d^3*i+3*d^2*e*h+3*d*e^2*g+e^3*f)*x^4*(a+b*arcsin(c*x))+1/5*e*(3*d^2*i+3*d*e*h+e^2*g)*x^5*(a+b*arcsin(c*x))+1/6*e^2*(3*d*i+e*h)*x^6*(a+b*arcsin(c*x))+1/7*e^3*i*x^7*(a+b*arcsin(c*x)),1],
[(e*x+d)^2*(i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x)),x,10,1/15*b*(15*c^4*d^2*f+5*c^2*(d^2*h+2*d*e*g+e^2*f)+3*e*(2*d*i+e*h))*sqrt(-c^2*x^2+1)/c^5+1/96*b*(24*c^4*d*(d*g+2*e*f)+5*e^2*i+9*c^2*(d^2*i+2*d*e*h+e^2*g))*x*sqrt(-c^2*x^2+1)/c^5+1/144*b*(5*e^2*i+9*c^2*(d^2*i+2*d*e*h+e^2*g))*x^3*sqrt(-c^2*x^2+1)/c^3+1/36*b*e^2*i*x^5*sqrt(-c^2*x^2+1)/c-1/45*b*(5*c^2*(d^2*h+2*d*e*g+e^2*f)+6*e*(2*d*i+e*h))*(-c^2*x^2+1)^(3/2)/c^5+1/25*b*e*(2*d*i+e*h)*(-c^2*x^2+1)^(5/2)/c^5-1/96*b*(24*c^4*d*(d*g+2*e*f)+5*e^2*i+9*c^2*(d^2*i+2*d*e*h+e^2*g))*arcsin(c*x)/c^6+d^2*f*x*(a+b*arcsin(c*x))+1/2*d*(d*g+2*e*f)*x^2*(a+b*arcsin(c*x))+1/3*(d^2*h+2*d*e*g+e^2*f)*x^3*(a+b*arcsin(c*x))+1/4*(d^2*i+2*d*e*h+e^2*g)*x^4*(a+b*arcsin(c*x))+1/5*e*(2*d*i+e*h)*x^5*(a+b*arcsin(c*x))+1/6*e^2*i*x^6*(a+b*arcsin(c*x)),1],
[(e*x+d)*(i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x)),x,9,1/15*b*(15*c^4*d*f+5*c^2*(d*h+e*g)+3*e*i)*sqrt(-c^2*x^2+1)/c^5+1/32*b*(8*c^2*(d*g+e*f)+3*d*i+3*e*h)*x*sqrt(-c^2*x^2+1)/c^3+1/16*b*(d*i+e*h)*x^3*sqrt(-c^2*x^2+1)/c-1/45*b*(5*c^2*(d*h+e*g)+6*e*i)*(-c^2*x^2+1)^(3/2)/c^5+1/25*b*e*i*(-c^2*x^2+1)^(5/2)/c^5-1/32*b*(8*c^2*(d*g+e*f)+3*d*i+3*e*h)*arcsin(c*x)/c^4+d*f*x*(a+b*arcsin(c*x))+1/2*(d*g+e*f)*x^2*(a+b*arcsin(c*x))+1/3*(d*h+e*g)*x^3*(a+b*arcsin(c*x))+1/4*(d*i+e*h)*x^4*(a+b*arcsin(c*x))+1/5*e*i*x^5*(a+b*arcsin(c*x)),1],
[(i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d),x,17,1/9*b*(2*e^2*i+9*c^2*(d^2*i-d*e*h+e^2*g))*sqrt(-c^2*x^2+1)/c^3/e^3+1/4*b*(-d*i+e*h)*x*sqrt(-c^2*x^2+1)/c/e^2+1/9*b*i*x^2*sqrt(-c^2*x^2+1)/c/e-1/4*b*(-d*i+e*h)*arcsin(c*x)/c^2/e^2-1/2*I*b*(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*arcsin(c*x)^2/e^4+(d^2*i-d*e*h+e^2*g)*x*(a+b*arcsin(c*x))/e^3+1/2*(-d*i+e*h)*x^2*(a+b*arcsin(c*x))/e^2+1/3*i*x^3*(a+b*arcsin(c*x))/e+b*(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^4+b*(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^4-b*(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*arcsin(c*x)*ln(e*x+d)/e^4+(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*(a+b*arcsin(c*x))*ln(e*x+d)/e^4-I*b*(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^4-I*b*(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^4,1],
[(i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^2,x,18,b*(-2*d*i+e*h)*sqrt(-c^2*x^2+1)/c/e^3+1/4*b*i*x*sqrt(-c^2*x^2+1)/c/e^2-1/4*b*i*arcsin(c*x)/c^2/e^2-1/2*I*b*(3*d^2*i-2*d*e*h+e^2*g)*arcsin(c*x)^2/e^4+(-2*d*i+e*h)*x*(a+b*arcsin(c*x))/e^3+1/2*i*x^2*(a+b*arcsin(c*x))/e^2-(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*(a+b*arcsin(c*x))/e^4/(e*x+d)+b*c*(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^4/sqrt(c^2*d^2-e^2)+b*(3*d^2*i-2*d*e*h+e^2*g)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^4+b*(3*d^2*i-2*d*e*h+e^2*g)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^4-b*(3*d^2*i-2*d*e*h+e^2*g)*arcsin(c*x)*ln(e*x+d)/e^4+(3*d^2*i-2*d*e*h+e^2*g)*(a+b*arcsin(c*x))*ln(e*x+d)/e^4-I*b*(3*d^2*i-2*d*e*h+e^2*g)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^4-I*b*(3*d^2*i-2*d*e*h+e^2*g)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^4,1],
[(i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^3,x,30,b*i*sqrt(-c^2*x^2+1)/c/e^3+5/2*b*c*d^3*i*sqrt(-c^2*x^2+1)/e^3/(c^2*d^2-e^2)/(e*x+d)-1/2*b*c*d^2*(4*d*i+3*e*h)*sqrt(-c^2*x^2+1)/e^3/(c^2*d^2-e^2)/(e*x+d)+1/2*b*c*d*(-4*d^2*i+4*d*e*h+e^2*g)*sqrt(-c^2*x^2+1)/e^3/(c^2*d^2-e^2)/(e*x+d)+1/2*b*c*(2*d^3*i-2*d*e^2*g+e^3*f)*sqrt(-c^2*x^2+1)/e^3/(c^2*d^2-e^2)/(e*x+d)-I*b*(-3*d*i+e*h)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^4+i*x*(a+b*arcsin(c*x))/e^3-1/2*(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*(a+b*arcsin(c*x))/e^4/(e*x+d)^2-(3*d^2*i-2*d*e*h+e^2*g)*(a+b*arcsin(c*x))/e^4/(e*x+d)+5/2*b*c^3*d^4*i*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^4/(c^2*d^2-e^2)^(3/2)-1/2*b*c*d^2*(3*c^2*d*h+4*e*i)*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^3/(c^2*d^2-e^2)^(3/2)+1/2*b*c*d*(4*e^2*(-2*d*i+e*h)+c^2*(4*d^3*i+d*e^2*g))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^4/(c^2*d^2-e^2)^(3/2)-1/2*b*c*(2*e^4*g-6*d^2*e^2*i-c^2*(-4*d^4*i+d*e^3*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^4/(c^2*d^2-e^2)^(3/2)+b*(-3*d*i+e*h)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^4+b*(-3*d*i+e*h)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^4-b*(-3*d*i+e*h)*arcsin(c*x)*ln(e*x+d)/e^4+(-3*d*i+e*h)*(a+b*arcsin(c*x))*ln(e*x+d)/e^4-I*b*(-3*d*i+e*h)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^4-1/2*I*b*(-3*d*i+e*h)*arcsin(c*x)^2/e^4,1],
[(i*x^3+h*x^2+g*x+f)*(a+b*arcsin(c*x))/(e*x+d)^4,x,29,1/12*b*c*(6*d^2*h-3*d*e*g+2*e^2*f)*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)/(e*x+d)^2-11/12*b*c*d^3*i*sqrt(-c^2*x^2+1)/e^3/(c^2*d^2-e^2)/(e*x+d)^2+1/12*b*c*d^2*(27*d*i+2*e*h)*sqrt(-c^2*x^2+1)/e^3/(c^2*d^2-e^2)/(e*x+d)^2+1/12*b*c*d*(-18*d^2*i-6*d*e*h+e^2*g)*sqrt(-c^2*x^2+1)/e^3/(c^2*d^2-e^2)/(e*x+d)^2-1/4*b*c*(2*e^2*(-4*d*h+e*g)-c^2*d*(-2*d^2*h-d*e*g+2*e^2*f))*sqrt(-c^2*x^2+1)/e^2/(c^2*d^2-e^2)^2/(e*x+d)-11/4*b*c^3*d^4*i*sqrt(-c^2*x^2+1)/e^3/(c^2*d^2-e^2)^2/(e*x+d)+1/4*b*c*d^2*(18*e^2*i+c^2*d*(9*d*i+2*e*h))*sqrt(-c^2*x^2+1)/e^3/(c^2*d^2-e^2)^2/(e*x+d)-1/4*b*c*d*(4*e^2*(6*d*i+e*h)-c^2*d*(6*d^2*i-2*d*e*h+e^2*g))*sqrt(-c^2*x^2+1)/e^3/(c^2*d^2-e^2)^2/(e*x+d)-1/2*I*b*i*arcsin(c*x)^2/e^4-1/3*(-d^3*i+d^2*e*h-d*e^2*g+e^3*f)*(a+b*arcsin(c*x))/e^4/(e*x+d)^3-1/2*(3*d^2*i-2*d*e*h+e^2*g)*(a+b*arcsin(c*x))/e^4/(e*x+d)^2-(-3*d*i+e*h)*(a+b*arcsin(c*x))/e^4/(e*x+d)+1/12*b*c*(4*c^4*d^2*f+12*e^2*h+c^2*(6*d^2*h-9*d*e*g+2*e^2*f))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e/(c^2*d^2-e^2)^(5/2)-11/12*b*c^3*d^3*(2*c^2*d^2+e^2)*i*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^4/(c^2*d^2-e^2)^(5/2)+1/12*b*c^3*d^2*(4*c^2*d^2*h+e*(81*d*i+2*e*h))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^3/(c^2*d^2-e^2)^(5/2)+1/12*b*c*d*(2*c^4*d^2*g-36*e^2*i+c^2*(-18*d^2*i-18*d*e*h+e^2*g))*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^2/(c^2*d^2-e^2)^(5/2)+b*i*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^4+b*i*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^4-b*i*arcsin(c*x)*ln(e*x+d)/e^4+i*(a+b*arcsin(c*x))*ln(e*x+d)/e^4-I*b*i*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^4-I*b*i*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^4,1],
[(h*x+g)^3*(f*x^2+e*x+d)*(a+b*arcsin(c*x))^2,x,35,-2*b^2*d*g^3*x-1/4*b^2*g^2*(3*d*h+e*g)*x^2-2/27*b^2*g*(f*g^2+3*h*(d*h+e*g))*x^3-1/32*b^2*h*(3*f*g^2+h*(d*h+3*e*g))*x^4-2/125*b^2*h^2*(e*h+3*f*g)*x^5-1/108*b^2*f*h^3*x^6-5/96*f*h^3*(a+b*arcsin(c*x))^2/c^6-1/4*g^2*(3*d*h+e*g)*(a+b*arcsin(c*x))^2/c^2-3/32*h*(3*f*g^2+h*(d*h+3*e*g))*(a+b*arcsin(c*x))^2/c^4+1/2*g^2*(3*d*h+e*g)*x^2*(a+b*arcsin(c*x))^2+1/3*g*(f*g^2+3*h*(d*h+e*g))*x^3*(a+b*arcsin(c*x))^2+1/4*h*(3*f*g^2+h*(d*h+3*e*g))*x^4*(a+b*arcsin(c*x))^2+1/5*h^2*(e*h+3*f*g)*x^5*(a+b*arcsin(c*x))^2+1/6*f*h^3*x^6*(a+b*arcsin(c*x))^2+d*g^3*x*(a+b*arcsin(c*x))^2+5/48*b*f*h^3*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^5+1/2*b*g^2*(3*d*h+e*g)*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+3/16*b*h*(3*f*g^2+h*(d*h+3*e*g))*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+8/75*b*h^2*(e*h+3*f*g)*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+2/9*b*g*(f*g^2+3*h*(d*h+e*g))*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+5/72*b*f*h^3*x^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+1/8*b*h*(3*f*g^2+h*(d*h+3*e*g))*x^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+2/25*b*h^2*(e*h+3*f*g)*x^4*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+1/18*b*f*h^3*x^5*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c-16/75*b^2*h^2*(e*h+3*f*g)*x/c^4-4/9*b^2*g*(f*g^2+3*h*(d*h+e*g))*x/c^2-5/96*b^2*f*h^3*x^2/c^4-3/32*b^2*h*(3*f*g^2+h*(d*h+3*e*g))*x^2/c^2-8/225*b^2*h^2*(e*h+3*f*g)*x^3/c^2-5/288*b^2*f*h^3*x^4/c^2+2*b*d*g^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+16/75*b*h^2*(e*h+3*f*g)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^5+4/9*b*g*(f*g^2+3*h*(d*h+e*g))*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3,1],
[(h*x+g)^2*(f*x^2+e*x+d)*(a+b*arcsin(c*x))^2,x,27,d*g^2*x*(a+b*arcsin(c*x))^2-1/4*g*(2*d*h+e*g)*(a+b*arcsin(c*x))^2/c^2-3/32*h*(e*h+2*f*g)*(a+b*arcsin(c*x))^2/c^4+1/2*g*(2*d*h+e*g)*x^2*(a+b*arcsin(c*x))^2+1/4*h*(e*h+2*f*g)*x^4*(a+b*arcsin(c*x))^2+1/5*f*h^2*x^5*(a+b*arcsin(c*x))^2-2*b^2*d*g^2*x-4/9*b^2*(f*g^2+h*(d*h+2*e*g))*x/c^2-1/4*b^2*g*(2*d*h+e*g)*x^2-1/32*b^2*h*(e*h+2*f*g)*x^4-2/125*b^2*f*h^2*x^5+1/2*b*g*(2*d*h+e*g)*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+3/16*b*h*(e*h+2*f*g)*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+8/75*b*f*h^2*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+1/8*b*h*(e*h+2*f*g)*x^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+2/25*b*f*h^2*x^4*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c-16/75*b^2*f*h^2*x/c^4-3/32*b^2*h*(e*h+2*f*g)*x^2/c^2-8/225*b^2*f*h^2*x^3/c^2+4/9*b*(f*g^2+h*(d*h+2*e*g))*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3-2/27*b^2*(f*g^2+h*(d*h+2*e*g))*x^3+1/3*(f*g^2+h*(d*h+2*e*g))*x^3*(a+b*arcsin(c*x))^2+16/75*b*f*h^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^5+2/9*b*(f*g^2+h*(d*h+2*e*g))*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+2*b*d*g^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c,1],
[(h*x+g)*(f*x^2+e*x+d)*(a+b*arcsin(c*x))^2,x,20,-2*b^2*d*g*x-4/9*b^2*(e*h+f*g)*x/c^2-3/32*b^2*f*h*x^2/c^2-1/4*b^2*(d*h+e*g)*x^2-2/27*b^2*(e*h+f*g)*x^3-1/32*b^2*f*h*x^4+2*b*d*g*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+4/9*b*(e*h+f*g)*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+3/16*b*f*h*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+1/2*b*(d*h+e*g)*x*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+2/9*b*(e*h+f*g)*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+1/8*b*f*h*x^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c-3/32*f*h*(a+b*arcsin(c*x))^2/c^4-1/4*(d*h+e*g)*(a+b*arcsin(c*x))^2/c^2+d*g*x*(a+b*arcsin(c*x))^2+1/2*(d*h+e*g)*x^2*(a+b*arcsin(c*x))^2+1/3*(e*h+f*g)*x^3*(a+b*arcsin(c*x))^2+1/4*f*h*x^4*(a+b*arcsin(c*x))^2,1],
[(f*x^2+e*x+d)*(a+b*arcsin(c*x))^2/(h*x+g),x,39,a^2*(d*h^2-e*g*h+f*g^2)*ln(h*x+g)/h^3+2*b^2*(d*h^2-e*g*h+f*g^2)*polylog(3,I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3+2*b^2*(d*h^2-e*g*h+f*g^2)*polylog(3,I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3+2*b^2*(-e*h+f*g)*x/h^2+1/2*a^2*f*x^2/h-1/4*b^2*f*x^2/h-a^2*(-e*h+f*g)*x/h^2-1/4*b^2*f*arcsin(c*x)^2/c^2/h+1/2*b^2*f*x^2*arcsin(c*x)^2/h-1/3*I*b^2*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)^3/h^3-b^2*(-e*h+f*g)*x*arcsin(c*x)^2/h^2+b^2*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)^2*ln(1-I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3+b^2*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)^2*ln(1-I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3+1/2*a*b*f*x*sqrt(-c^2*x^2+1)/c/h+1/2*b^2*f*x*sqrt(-c^2*x^2+1)*arcsin(c*x)/c/h-2*I*a*b*(d*h^2-e*g*h+f*g^2)*polylog(2,I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3-2*a*b*(-e*h+f*g)*sqrt(-c^2*x^2+1)/c/h^2-2*I*b^2*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)*polylog(2,I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3-2*I*b^2*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)*polylog(2,I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3-2*b^2*(-e*h+f*g)*sqrt(-c^2*x^2+1)*arcsin(c*x)/c/h^2+a*b*f*x^2*arcsin(c*x)/h-1/2*a*b*f*arcsin(c*x)/c^2/h-2*a*b*(-e*h+f*g)*x*arcsin(c*x)/h^2-I*a*b*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)^2/h^3+2*a*b*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3+2*a*b*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3-2*I*a*b*(d*h^2-e*g*h+f*g^2)*polylog(2,I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3,1],
[(f*x^2+e*x+d)*(a+b*arcsin(c*x))^2/(h*x+g)^2,x,45,a^2*f*x/h^2+2*I*a*b*(-e*h+2*f*g)*polylog(2,I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3+2*I*a*b*(-e*h+2*f*g)*polylog(2,I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3+2*b^2*c*(d*h^2-e*g*h+f*g^2)*polylog(2,I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3/sqrt(c^2*g^2-h^2)-2*b^2*c*(d*h^2-e*g*h+f*g^2)*polylog(2,I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3/sqrt(c^2*g^2-h^2)+2*a*b*f*sqrt(-c^2*x^2+1)/c/h^2-2*a*b*(-e*h+2*f*g)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3-2*a*b*(-e*h+2*f*g)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3+2*I*b^2*(-e*h+2*f*g)*arcsin(c*x)*polylog(2,I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3+2*a*b*c*(d*h^2-e*g*h+f*g^2)*arctan((c^2*g*x+h)/sqrt(c^2*g^2-h^2)/sqrt(-c^2*x^2+1))/h^3/sqrt(c^2*g^2-h^2)-b^2*(-e*h+2*f*g)*arcsin(c*x)^2*ln(1-I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3-b^2*(-e*h+2*f*g)*arcsin(c*x)^2*ln(1-I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3-b^2*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)^2/h^3/(h*x+g)+b^2*f*x*arcsin(c*x)^2/h^2+1/3*I*b^2*(-e*h+2*f*g)*arcsin(c*x)^3/h^3-2*b^2*(-e*h+2*f*g)*polylog(3,I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3-2*b^2*(-e*h+2*f*g)*polylog(3,I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3-a^2*(-e*h+2*f*g)*ln(h*x+g)/h^3-2*b^2*f*x/h^2-a^2*(d*h^2-e*g*h+f*g^2)/h^3/(h*x+g)+2*I*b^2*(-e*h+2*f*g)*arcsin(c*x)*polylog(2,I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3+2*b^2*f*sqrt(-c^2*x^2+1)*arcsin(c*x)/c/h^2+I*a*b*(-e*h+2*f*g)*arcsin(c*x)^2/h^3+2*a*b*f*x*arcsin(c*x)/h^2-2*a*b*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)/h^3/(h*x+g)+2*I*b^2*c*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*h/(c*g+sqrt(c^2*g^2-h^2)))/h^3/sqrt(c^2*g^2-h^2)-2*I*b^2*c*(d*h^2-e*g*h+f*g^2)*arcsin(c*x)*ln(1-I*exp(I*arcsin(c*x))*h/(c*g-sqrt(c^2*g^2-h^2)))/h^3/sqrt(c^2*g^2-h^2),1],
[(e*h*x^2+2*d*h*x+e*f)*(a+b*arcsin(c*x))^2/(e*x+d)^2,x,20,-2*b^2*h*x/e+2*a*b*h*sqrt(-c^2*x^2+1)/c/e+2*b^2*h*sqrt(-c^2*x^2+1)*arcsin(c*x)/c/e+h*x*(a+b*arcsin(c*x))^2/e-(f-d^2*h/e^2)*(a+b*arcsin(c*x))^2/(e*x+d)+2*a*b*c*(-d^2*h+e^2*f)*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^2/sqrt(c^2*d^2-e^2)-2*I*b^2*c*(-d^2*h+e^2*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^2/sqrt(c^2*d^2-e^2)+2*I*b^2*c*(-d^2*h+e^2*f)*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^2/sqrt(c^2*d^2-e^2)-2*b^2*c*(-d^2*h+e^2*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^2/sqrt(c^2*d^2-e^2)+2*b^2*c*(-d^2*h+e^2*f)*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^2/sqrt(c^2*d^2-e^2),1],
[(e*h*x^2+2*d*h*x+e*f)^2*(a+b*arcsin(c*x))^2/(e*x+d)^2,x,32,-4/9*b^2*h^2*x/c^2-2*b^2*h*(-d^2*h+2*e^2*f)*x/e^2-1/2*b^2*d*h^2*x^2/e-2/27*b^2*h^2*x^3+2/9*a*b*h*(2*e^2*h+9*c^2*(-d^2*h+2*e^2*f))*sqrt(-c^2*x^2+1)/c^3/e^2+a*b*d*h^2*x*sqrt(-c^2*x^2+1)/c/e+2/9*a*b*h^2*x^2*sqrt(-c^2*x^2+1)/c-1/3*a*b*d*(2*c^2*d^2+3*e^2)*h^2*arcsin(c*x)/c^2/e^3+4/9*b^2*h^2*sqrt(-c^2*x^2+1)*arcsin(c*x)/c^3+2*b^2*h*(-d^2*h+2*e^2*f)*sqrt(-c^2*x^2+1)*arcsin(c*x)/c/e^2+b^2*d*h^2*x*sqrt(-c^2*x^2+1)*arcsin(c*x)/c/e+2/9*b^2*h^2*x^2*sqrt(-c^2*x^2+1)*arcsin(c*x)/c-1/3*b^2*d^3*h^2*arcsin(c*x)^2/e^3-1/2*b^2*d*h^2*arcsin(c*x)^2/c^2/e+2*h*(-d^2*h+e^2*f)*x*(a+b*arcsin(c*x))^2/e^2-(-d^2*h+e^2*f)^2*(a+b*arcsin(c*x))^2/e^3/(e*x+d)+1/3*h^2*(e*x+d)^3*(a+b*arcsin(c*x))^2/e^3+2*a*b*c*(-d^2*h+e^2*f)^2*arctan((c^2*d*x+e)/sqrt(c^2*d^2-e^2)/sqrt(-c^2*x^2+1))/e^3/sqrt(c^2*d^2-e^2)-2*I*b^2*c*(-d^2*h+e^2*f)^2*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3/sqrt(c^2*d^2-e^2)+2*I*b^2*c*(-d^2*h+e^2*f)^2*arcsin(c*x)*ln(1-I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3/sqrt(c^2*d^2-e^2)-2*b^2*c*(-d^2*h+e^2*f)^2*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d-sqrt(c^2*d^2-e^2)))/e^3/sqrt(c^2*d^2-e^2)+2*b^2*c*(-d^2*h+e^2*f)^2*polylog(2,I*e*exp(I*arcsin(c*x))/(c*d+sqrt(c^2*d^2-e^2)))/e^3/sqrt(c^2*d^2-e^2),1]]: