lst:=[[(a+b*arcsin(c*x))^4,x,5,24*b^4*x-24*b^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c-12*b^2*x*(a+b*arcsin(c*x))^2+4*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^3/c+x*(a+b*arcsin(c*x))^4,1],
[(a+b*arcsin(c*x))^3,x,2,-6*b^3*sqrt(-c^2*x^2+1)/c-6*b^2*x*(a+b*arcsin(c*x))+3*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c+x*(a+b*arcsin(c*x))^3,1],
[(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),x,3,a*x+b*sqrt(-c^2*x^2+1)/c+b*x*arcsin(c*x),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/(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/(a+b*arcsin(c*x))^3,x,6,-1/2*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))^2+1/2*x/b^2/(a+b*arcsin(c*x))-1/2*cos(a/b)*Ci((a+b*arcsin(c*x))/b)/b^3/c-1/2*sin(a/b)*Si((a+b*arcsin(c*x))/b)/b^3/c,1],
[(a+b*arcsin(c*x))^(5/2),x,9,-15/4*b^2*x*sqrt(a+b*arcsin(c*x))+5/2*b*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^(3/2)/c+x*(a+b*arcsin(c*x))^(5/2)+15/4*b^(5/2)*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-15/4*b^(5/2)*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c,1],
[(a+b*arcsin(c*x))^(3/2),x,8,3/2*b*sqrt(-c^2*x^2+1)*sqrt(a+b*arcsin(c*x))/c+x*(a+b*arcsin(c*x))^(3/2)-3/2*b^(3/2)*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-3/2*b^(3/2)*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c,1],
[sqrt(a+b*arcsin(c*x)),x,7,x*sqrt(a+b*arcsin(c*x))-sqrt(b)*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c+sqrt(b)*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c,1],
[1/sqrt(a+b*arcsin(c*x)),x,6,sqrt(2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c+sqrt(2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/sqrt(b)/c,1],
[1/(a+b*arcsin(c*x))^(3/2),x,7,-2*sqrt(-c^2*x^2+1)/b/c/sqrt(a+b*arcsin(c*x))-2*sqrt(2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c+2*sqrt(2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/b^(3/2)/c,1],
[1/(a+b*arcsin(c*x))^(5/2),x,8,-2/3*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))^(3/2)+4/3*x/b^2/sqrt(a+b*arcsin(c*x))-4/3*sqrt(2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(5/2)/c-4/3*sqrt(2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/b^(5/2)/c,1],
[1/(a+b*arcsin(c*x))^(7/2),x,9,-2/5*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))^(5/2)+4/15*x/b^2/(a+b*arcsin(c*x))^(3/2)+8/15*sqrt(-c^2*x^2+1)/b^3/c/sqrt(a+b*arcsin(c*x))+8/15*sqrt(2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(7/2)/c-8/15*sqrt(2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/b^(7/2)/c,1],
[(a+b*arcsin(c*x))^n,x,3,-1/2*I*(a+b*arcsin(c*x))^n*GAMMA(1+n,-I*(a+b*arcsin(c*x))/b)/c/exp(I*a/b)/((-I*(a+b*arcsin(c*x))/b)^n)+1/2*I*exp(I*a/b)*(a+b*arcsin(c*x))^n*GAMMA(1+n,I*(a+b*arcsin(c*x))/b)/c/((I*(a+b*arcsin(c*x))/b)^n),1]]: