lst:=[[(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x)),x,5,16/35*b*d^3*sqrt(-c^2*x^2+1)/c+8/105*b*d^3*(-c^2*x^2+1)^(3/2)/c+6/175*b*d^3*(-c^2*x^2+1)^(5/2)/c+1/49*b*d^3*(-c^2*x^2+1)^(7/2)/c+d^3*x*(a+b*arcsin(c*x))-c^2*d^3*x^3*(a+b*arcsin(c*x))+3/5*c^4*d^3*x^5*(a+b*arcsin(c*x))-1/7*c^6*d^3*x^7*(a+b*arcsin(c*x)),1],
[(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x)),x,5,8/15*b*d^2*sqrt(-c^2*x^2+1)/c+4/45*b*d^2*(-c^2*x^2+1)^(3/2)/c+1/25*b*d^2*(-c^2*x^2+1)^(5/2)/c+d^2*x*(a+b*arcsin(c*x))-2/3*c^2*d^2*x^3*(a+b*arcsin(c*x))+1/5*c^4*d^2*x^5*(a+b*arcsin(c*x)),1],
[(-c^2*d*x^2+d)*(a+b*arcsin(c*x)),x,5,2/3*b*d*sqrt(-c^2*x^2+1)/c+1/9*b*d*(-c^2*x^2+1)^(3/2)/c+d*x*(a+b*arcsin(c*x))-1/3*c^2*d*x^3*(a+b*arcsin(c*x)),1],
[(a+b*arcsin(c*x))/(-c^2*d*x^2+d),x,4,-2*I*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/d+I*b*polylog(2,-I*exp(I*arcsin(c*x)))/c/d-I*b*polylog(2,I*exp(I*arcsin(c*x)))/c/d,1],
[(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^2,x,6,-1/2*b/c/d^2/sqrt(-c^2*x^2+1)+1/2*x*(a+b*arcsin(c*x))/d^2/(-c^2*x^2+1)-I*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/d^2+1/2*I*b*polylog(2,-I*exp(I*arcsin(c*x)))/c/d^2-1/2*I*b*polylog(2,I*exp(I*arcsin(c*x)))/c/d^2,1],
[(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^3,x,8,-1/12*b/c/d^3/(-c^2*x^2+1)^(3/2)-3/8*b/c/d^3/sqrt(-c^2*x^2+1)+1/4*x*(a+b*arcsin(c*x))/d^3/(-c^2*x^2+1)^2+3/8*x*(a+b*arcsin(c*x))/d^3/(-c^2*x^2+1)-3/4*I*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/d^3+3/8*I*b*polylog(2,-I*exp(I*arcsin(c*x)))/c/d^3-3/8*I*b*polylog(2,I*exp(I*arcsin(c*x)))/c/d^3,1],
[(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^2,x,14,-4322/3675*b^2*d^3*x+1514/11025*b^2*c^2*d^3*x^3-234/6125*b^2*c^4*d^3*x^5+2/343*b^2*c^6*d^3*x^7+32/35*b*d^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+16/105*b*d^3*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/c+12/175*b*d^3*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))/c+2/49*b*d^3*(-c^2*x^2+1)^(7/2)*(a+b*arcsin(c*x))/c+16/35*d^3*x*(a+b*arcsin(c*x))^2+8/35*d^3*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2+6/35*d^3*x*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))^2+1/7*d^3*x*(-c^2*x^2+1)^3*(a+b*arcsin(c*x))^2,1],
[(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^2,x,10,-298/225*b^2*d^2*x+76/675*b^2*c^2*d^2*x^3-2/125*b^2*c^4*d^2*x^5+16/15*b*d^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+8/45*b*d^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/c+2/25*b*d^2*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))/c+8/15*d^2*x*(a+b*arcsin(c*x))^2+4/15*d^2*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2+1/5*d^2*x*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))^2,1],
[(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2,x,6,-14/9*b^2*d*x+2/27*b^2*c^2*d*x^3+4/3*b*d*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+2/9*b*d*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))/c+2/3*d*x*(a+b*arcsin(c*x))^2+1/3*d*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^2,1],
[(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d),x,6,-2*I*(a+b*arcsin(c*x))^2*arctan(exp(I*arcsin(c*x)))/c/d+2*I*b*(a+b*arcsin(c*x))*polylog(2,-I*exp(I*arcsin(c*x)))/c/d-2*I*b*(a+b*arcsin(c*x))*polylog(2,I*exp(I*arcsin(c*x)))/c/d-2*b^2*polylog(3,-I*exp(I*arcsin(c*x)))/c/d+2*b^2*polylog(3,I*exp(I*arcsin(c*x)))/c/d,1],
[(a+b*arcsin(c*x))^2/(-c^2*d*x^2+d)^2,x,9,-b*(a+b*arcsin(c*x))/c/d^2/sqrt(-c^2*x^2+1)+1/2*x*(a+b*arcsin(c*x))^2/d^2/(-c^2*x^2+1)-I*(a+b*arcsin(c*x))^2*arctan(exp(I*arcsin(c*x)))/c/d^2+b^2*arctanh(c*x)/c/d^2+I*b*(a+b*arcsin(c*x))*polylog(2,-I*exp(I*arcsin(c*x)))/c/d^2-I*b*(a+b*arcsin(c*x))*polylog(2,I*exp(I*arcsin(c*x)))/c/d^2-b^2*polylog(3,-I*exp(I*arcsin(c*x)))/c/d^2+b^2*polylog(3,I*exp(I*arcsin(c*x)))/c/d^2,1],
[(-c^2*d*x^2+d)^3*(a+b*arcsin(c*x))^3,x,22,-413312/128625*b^3*d^3*sqrt(-c^2*x^2+1)/c-30256/385875*b^3*d^3*(-c^2*x^2+1)^(3/2)/c-2664/214375*b^3*d^3*(-c^2*x^2+1)^(5/2)/c-6/2401*b^3*d^3*(-c^2*x^2+1)^(7/2)/c-4322/1225*b^2*d^3*x*(a+b*arcsin(c*x))+1514/3675*b^2*c^2*d^3*x^3*(a+b*arcsin(c*x))-702/6125*b^2*c^4*d^3*x^5*(a+b*arcsin(c*x))+6/343*b^2*c^6*d^3*x^7*(a+b*arcsin(c*x))+48/35*b*d^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c+8/35*b*d^3*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))^2/c+18/175*b*d^3*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))^2/c+3/49*b*d^3*(-c^2*x^2+1)^(7/2)*(a+b*arcsin(c*x))^2/c+16/35*d^3*x*(a+b*arcsin(c*x))^3+8/35*d^3*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^3+6/35*d^3*x*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))^3+1/7*d^3*x*(-c^2*x^2+1)^3*(a+b*arcsin(c*x))^3,1],
[(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^3,x,15,-4144/1125*b^3*d^2*sqrt(-c^2*x^2+1)/c-272/3375*b^3*d^2*(-c^2*x^2+1)^(3/2)/c-6/625*b^3*d^2*(-c^2*x^2+1)^(5/2)/c-298/75*b^2*d^2*x*(a+b*arcsin(c*x))+76/225*b^2*c^2*d^2*x^3*(a+b*arcsin(c*x))-6/125*b^2*c^4*d^2*x^5*(a+b*arcsin(c*x))+8/5*b*d^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c+4/15*b*d^2*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))^2/c+3/25*b*d^2*(-c^2*x^2+1)^(5/2)*(a+b*arcsin(c*x))^2/c+8/15*d^2*x*(a+b*arcsin(c*x))^3+4/15*d^2*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^3+1/5*d^2*x*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))^3,1],
[(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3,x,8,-40/9*b^3*d*sqrt(-c^2*x^2+1)/c-2/27*b^3*d*(-c^2*x^2+1)^(3/2)/c-14/3*b^2*d*x*(a+b*arcsin(c*x))+2/9*b^2*c^2*d*x^3*(a+b*arcsin(c*x))+2*b*d*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c+1/3*b*d*(-c^2*x^2+1)^(3/2)*(a+b*arcsin(c*x))^2/c+2/3*d*x*(a+b*arcsin(c*x))^3+1/3*d*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^3,1],
[(a+b*arcsin(c*x))^3/(-c^2*d*x^2+d),x,8,-2*I*(a+b*arcsin(c*x))^3*arctan(exp(I*arcsin(c*x)))/c/d+3*I*b*(a+b*arcsin(c*x))^2*polylog(2,-I*exp(I*arcsin(c*x)))/c/d-3*I*b*(a+b*arcsin(c*x))^2*polylog(2,I*exp(I*arcsin(c*x)))/c/d-6*b^2*(a+b*arcsin(c*x))*polylog(3,-I*exp(I*arcsin(c*x)))/c/d+6*b^2*(a+b*arcsin(c*x))*polylog(3,I*exp(I*arcsin(c*x)))/c/d-6*I*b^3*polylog(4,-I*exp(I*arcsin(c*x)))/c/d+6*I*b^3*polylog(4,I*exp(I*arcsin(c*x)))/c/d,1],
[(a+b*arcsin(c*x))^3/(-c^2*d*x^2+d)^2,x,14,-3/2*b*(a+b*arcsin(c*x))^2/c/d^2/sqrt(-c^2*x^2+1)+1/2*x*(a+b*arcsin(c*x))^3/d^2/(-c^2*x^2+1)-6*I*b^2*(a+b*arcsin(c*x))*arctan(exp(I*arcsin(c*x)))/c/d^2-I*(a+b*arcsin(c*x))^3*arctan(exp(I*arcsin(c*x)))/c/d^2+3*I*b^3*polylog(2,-I*exp(I*arcsin(c*x)))/c/d^2+3/2*I*b*(a+b*arcsin(c*x))^2*polylog(2,-I*exp(I*arcsin(c*x)))/c/d^2-3*I*b^3*polylog(2,I*exp(I*arcsin(c*x)))/c/d^2-3/2*I*b*(a+b*arcsin(c*x))^2*polylog(2,I*exp(I*arcsin(c*x)))/c/d^2-3*b^2*(a+b*arcsin(c*x))*polylog(3,-I*exp(I*arcsin(c*x)))/c/d^2+3*b^2*(a+b*arcsin(c*x))*polylog(3,I*exp(I*arcsin(c*x)))/c/d^2-3*I*b^3*polylog(4,-I*exp(I*arcsin(c*x)))/c/d^2+3*I*b^3*polylog(4,I*exp(I*arcsin(c*x)))/c/d^2,1],
[(-a^2*c*x^2+c)^3/arcsin(a*x),x,7,35/64*c^3*Ci(arcsin(a*x))/a+21/64*c^3*Ci(3*arcsin(a*x))/a+7/64*c^3*Ci(5*arcsin(a*x))/a+1/64*c^3*Ci(7*arcsin(a*x))/a,1],
[(-a^2*c*x^2+c)^2/arcsin(a*x),x,6,5/8*c^2*Ci(arcsin(a*x))/a+5/16*c^2*Ci(3*arcsin(a*x))/a+1/16*c^2*Ci(5*arcsin(a*x))/a,1],
[(-a^2*c*x^2+c)/arcsin(a*x),x,5,3/4*c*Ci(arcsin(a*x))/a+1/4*c*Ci(3*arcsin(a*x))/a,1],
[1/(-a^2*c*x^2+c)/arcsin(a*x),x,0,Defer(Int)(1/(-a^2*c*x^2+c)/arcsin(a*x),x),0],
[1/(-a^2*c*x^2+c)^2/arcsin(a*x),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^2/arcsin(a*x),x),0],
[(-a^2*c*x^2+c)^3/arcsin(a*x)^2,x,8,-c^3*(-a^2*x^2+1)^(7/2)/a/arcsin(a*x)-35/64*c^3*Si(arcsin(a*x))/a-63/64*c^3*Si(3*arcsin(a*x))/a-35/64*c^3*Si(5*arcsin(a*x))/a-7/64*c^3*Si(7*arcsin(a*x))/a,1],
[(-a^2*c*x^2+c)^2/arcsin(a*x)^2,x,7,-c^2*(-a^2*x^2+1)^(5/2)/a/arcsin(a*x)-5/8*c^2*Si(arcsin(a*x))/a-15/16*c^2*Si(3*arcsin(a*x))/a-5/16*c^2*Si(5*arcsin(a*x))/a,1],
[(-a^2*c*x^2+c)/arcsin(a*x)^2,x,6,-c*(-a^2*x^2+1)^(3/2)/a/arcsin(a*x)-3/4*c*Si(arcsin(a*x))/a-3/4*c*Si(3*arcsin(a*x))/a,1],
[1/(-a^2*c*x^2+c)/arcsin(a*x)^2,x,0,Defer(Int)(1/(-a^2*c*x^2+c)/arcsin(a*x)^2,x),0],
[1/(-a^2*c*x^2+c)^2/arcsin(a*x)^2,x,0,Defer(Int)(1/(-a^2*c*x^2+c)^2/arcsin(a*x)^2,x),0],
[(-c^2*d*x^2+d)^3/(a+b*arcsin(c*x)),x,15,35/64*d^3*cos(a/b)*Ci((a+b*arcsin(c*x))/b)/b/c+21/64*d^3*cos(3*a/b)*Ci(3*(a+b*arcsin(c*x))/b)/b/c+7/64*d^3*cos(5*a/b)*Ci(5*(a+b*arcsin(c*x))/b)/b/c+1/64*d^3*cos(7*a/b)*Ci(7*(a+b*arcsin(c*x))/b)/b/c+35/64*d^3*sin(a/b)*Si((a+b*arcsin(c*x))/b)/b/c+21/64*d^3*sin(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b/c+7/64*d^3*sin(5*a/b)*Si(5*(a+b*arcsin(c*x))/b)/b/c+1/64*d^3*sin(7*a/b)*Si(7*(a+b*arcsin(c*x))/b)/b/c,1],
[(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x)),x,12,5/8*d^2*cos(a/b)*Ci((a+b*arcsin(c*x))/b)/b/c+5/16*d^2*cos(3*a/b)*Ci(3*(a+b*arcsin(c*x))/b)/b/c+1/16*d^2*cos(5*a/b)*Ci(5*(a+b*arcsin(c*x))/b)/b/c+5/8*d^2*sin(a/b)*Si((a+b*arcsin(c*x))/b)/b/c+5/16*d^2*sin(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b/c+1/16*d^2*sin(5*a/b)*Si(5*(a+b*arcsin(c*x))/b)/b/c,1],
[(-c^2*d*x^2+d)/(a+b*arcsin(c*x)),x,9,3/4*d*cos(a/b)*Ci((a+b*arcsin(c*x))/b)/b/c+1/4*d*cos(3*a/b)*Ci(3*(a+b*arcsin(c*x))/b)/b/c+3/4*d*sin(a/b)*Si((a+b*arcsin(c*x))/b)/b/c+1/4*d*sin(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b/c,1],
[1/(-c^2*d*x^2+d)/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(-c^2*d*x^2+d)/(a+b*arcsin(c*x)),x),0],
[1/(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x)),x),0],
[(-c^2*d*x^2+d)^3/(a+b*arcsin(c*x))^2,x,16,-d^3*(-c^2*x^2+1)^(7/2)/b/c/(a+b*arcsin(c*x))+35/64*d^3*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c+63/64*d^3*Ci(3*(a+b*arcsin(c*x))/b)*sin(3*a/b)/b^2/c+35/64*d^3*Ci(5*(a+b*arcsin(c*x))/b)*sin(5*a/b)/b^2/c+7/64*d^3*Ci(7*(a+b*arcsin(c*x))/b)*sin(7*a/b)/b^2/c-35/64*d^3*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c-63/64*d^3*cos(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b^2/c-35/64*d^3*cos(5*a/b)*Si(5*(a+b*arcsin(c*x))/b)/b^2/c-7/64*d^3*cos(7*a/b)*Si(7*(a+b*arcsin(c*x))/b)/b^2/c,1],
[(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^2,x,13,-d^2*(-c^2*x^2+1)^(5/2)/b/c/(a+b*arcsin(c*x))+5/8*d^2*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c+15/16*d^2*Ci(3*(a+b*arcsin(c*x))/b)*sin(3*a/b)/b^2/c+5/16*d^2*Ci(5*(a+b*arcsin(c*x))/b)*sin(5*a/b)/b^2/c-5/8*d^2*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c-15/16*d^2*cos(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b^2/c-5/16*d^2*cos(5*a/b)*Si(5*(a+b*arcsin(c*x))/b)/b^2/c,1],
[(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^2,x,10,-d*(-c^2*x^2+1)^(3/2)/b/c/(a+b*arcsin(c*x))+3/4*d*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c+3/4*d*Ci(3*(a+b*arcsin(c*x))/b)*sin(3*a/b)/b^2/c-3/4*d*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c-3/4*d*cos(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b^2/c,1],
[1/(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^2,x),0],
[1/(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^2,x),0],
[(-Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsin(c*x)),x,7,-5/32*b*c*Pi^(5/2)*x^2+5/96*b*Pi^(5/2)*(-c^2*x^2+1)^2/c+1/36*b*Pi^(5/2)*(-c^2*x^2+1)^3/c+5/16*Pi^2*x*sqrt(-Pi*c^2*x^2+Pi)*(a+b*arcsin(c*x))+5/24*Pi*x*(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsin(c*x))+1/6*x*(-Pi*c^2*x^2+Pi)^(5/2)*(a+b*arcsin(c*x))+5/32*Pi^(5/2)*(a+b*arcsin(c*x))^2/b/c,1],
[(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsin(c*x)),x,5,-3/16*b*c*Pi^(3/2)*x^2+1/16*b*Pi^(3/2)*(-c^2*x^2+1)^2/c+3/8*Pi*x*sqrt(-Pi*c^2*x^2+Pi)*(a+b*arcsin(c*x))+1/4*x*(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsin(c*x))+3/16*Pi^(3/2)*(a+b*arcsin(c*x))^2/b/c,1],
[sqrt(-Pi*c^2*x^2+Pi)*(a+b*arcsin(c*x)),x,3,-1/4*b*c*sqrt(Pi)*x^2+1/2*x*sqrt(-Pi*c^2*x^2+Pi)*(a+b*arcsin(c*x))+1/4*sqrt(Pi)*(a+b*arcsin(c*x))^2/b/c,1],
[(a+b*arcsin(c*x))/sqrt(-Pi*c^2*x^2+Pi),x,1,1/2*(a+b*arcsin(c*x))^2/b/c/sqrt(Pi),1],
[(a+b*arcsin(c*x))/(-Pi*c^2*x^2+Pi)^(3/2),x,2,x*(a+b*arcsin(c*x))/Pi/sqrt(-Pi*c^2*x^2+Pi)+1/2*b*ln(-c^2*x^2+1)/c/Pi^(3/2),1],
[(a+b*arcsin(c*x))/(-Pi*c^2*x^2+Pi)^(5/2),x,4,-1/6*b/c/Pi^(5/2)/(-c^2*x^2+1)+1/3*x*(a+b*arcsin(c*x))/Pi/(-Pi*c^2*x^2+Pi)^(3/2)+2/3*x*(a+b*arcsin(c*x))/Pi^2/sqrt(-Pi*c^2*x^2+Pi)+1/3*b*ln(-c^2*x^2+1)/c/Pi^(5/2),1],
[(a+b*arcsin(c*x))/(-Pi*c^2*x^2+Pi)^(7/2),x,6,-1/20*b/c/Pi^(7/2)/(-c^2*x^2+1)^2-2/15*b/c/Pi^(7/2)/(-c^2*x^2+1)+1/5*x*(a+b*arcsin(c*x))/Pi/(-Pi*c^2*x^2+Pi)^(5/2)+4/15*x*(a+b*arcsin(c*x))/Pi^2/(-Pi*c^2*x^2+Pi)^(3/2)+8/15*x*(a+b*arcsin(c*x))/Pi^3/sqrt(-Pi*c^2*x^2+Pi)+4/15*b*ln(-c^2*x^2+1)/c/Pi^(7/2),1],
[(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsin(c*x))^2,x,10,-15/64*b^2*Pi^(3/2)*x*sqrt(-c^2*x^2+1)-1/32*b^2*Pi^(3/2)*x*(-c^2*x^2+1)^(3/2)+9/64*b^2*Pi^(3/2)*arcsin(c*x)/c-3/8*b*c*Pi^(3/2)*x^2*(a+b*arcsin(c*x))+1/8*b*Pi^(3/2)*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))/c+3/8*Pi*x*sqrt(-Pi*c^2*x^2+Pi)*(a+b*arcsin(c*x))^2+1/4*x*(-Pi*c^2*x^2+Pi)^(3/2)*(a+b*arcsin(c*x))^2+1/8*Pi^(3/2)*(a+b*arcsin(c*x))^3/b/c,1],
[sqrt(-Pi*c^2*x^2+Pi)*(a+b*arcsin(c*x))^2,x,5,-1/4*b^2*sqrt(Pi)*x*sqrt(-c^2*x^2+1)+1/4*b^2*sqrt(Pi)*arcsin(c*x)/c-1/2*b*c*sqrt(Pi)*x^2*(a+b*arcsin(c*x))+1/2*x*sqrt(-Pi*c^2*x^2+Pi)*(a+b*arcsin(c*x))^2+1/6*sqrt(Pi)*(a+b*arcsin(c*x))^3/b/c,1],
[(a+b*arcsin(c*x))^2/sqrt(-Pi*c^2*x^2+Pi),x,1,1/3*(a+b*arcsin(c*x))^3/b/c/sqrt(Pi),1],
[(a+b*arcsin(c*x))^2/(-Pi*c^2*x^2+Pi)^(3/2),x,4,-I*(a+b*arcsin(c*x))^2/c/Pi^(3/2)+x*(a+b*arcsin(c*x))^2/Pi/sqrt(-Pi*c^2*x^2+Pi)+2*b*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/Pi^(3/2)-I*b^2*polylog(2,-exp(2*I*arcsin(c*x)))/c/Pi^(3/2),1],
[(a+b*arcsin(c*x))^2/(-Pi*c^2*x^2+Pi)^(5/2),x,7,1/3*b^2*x/Pi^(5/2)/sqrt(-c^2*x^2+1)-1/3*b*(a+b*arcsin(c*x))/c/Pi^(5/2)/(-c^2*x^2+1)-2/3*I*(a+b*arcsin(c*x))^2/c/Pi^(5/2)+1/3*x*(a+b*arcsin(c*x))^2/Pi/(-Pi*c^2*x^2+Pi)^(3/2)+2/3*x*(a+b*arcsin(c*x))^2/Pi^2/sqrt(-Pi*c^2*x^2+Pi)+4/3*b*(a+b*arcsin(c*x))*ln(1+exp(2*I*arcsin(c*x)))/c/Pi^(5/2)-2/3*I*b^2*polylog(2,-exp(2*I*arcsin(c*x)))/c/Pi^(5/2),1],
[sqrt(-x^2+1)*arcsin(x),x,3,-1/4*x^2+1/2*x*sqrt(-x^2+1)*arcsin(x)+1/4*arcsin(x)^2,1],
[1/sqrt(-a^2*x^2+1)/arcsin(a*x)^3,x,1,-1/2/a/arcsin(a*x)^2,1],
[(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x)),x,8,-5/32*b*c*d^2*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+5/96*b*d^2*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c+1/36*b*d^2*(-c^2*x^2+1)^(5/2)*sqrt(-c^2*d*x^2+d)/c+5/16*d^2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))+5/24*d*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))+1/6*x*(-c^2*d*x^2+d)^(5/2)*(a+b*arcsin(c*x))+5/32*d^2*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)),x,6,-3/16*b*c*d*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/16*b*d*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)/c+3/8*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))+1/4*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))+3/16*d*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)),x,4,-1/4*b*c*x^2*sqrt(-c^2*d*x^2+d)/sqrt(-c^2*x^2+1)+1/2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))+1/4*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2/b/c/sqrt(-c^2*x^2+1),1],
[(a+b*arcsin(c*x))/sqrt(-c^2*d*x^2+d),x,2,1/2*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))/(-c^2*d*x^2+d)^(3/2),x,3,x*(a+b*arcsin(c*x))/d/sqrt(-c^2*d*x^2+d)+1/2*b*sqrt(-c^2*x^2+1)*ln(-c^2*x^2+1)/c/d/sqrt(-c^2*d*x^2+d),1],
[(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^(5/2),x,5,-1/6*b/c/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+1/3*x*(a+b*arcsin(c*x))/d/(-c^2*d*x^2+d)^(3/2)+2/3*x*(a+b*arcsin(c*x))/d^2/sqrt(-c^2*d*x^2+d)+1/3*b*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))/(-c^2*d*x^2+d)^(7/2),x,7,-1/20*b/c/d^3/(-c^2*x^2+1)^(3/2)/sqrt(-c^2*d*x^2+d)-2/15*b/c/d^3/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+1/5*x*(a+b*arcsin(c*x))/d/(-c^2*d*x^2+d)^(5/2)+4/15*x*(a+b*arcsin(c*x))/d^2/(-c^2*d*x^2+d)^(3/2)+8/15*x*(a+b*arcsin(c*x))/d^3/sqrt(-c^2*d*x^2+d)+4/15*b*sqrt(-c^2*x^2+1)*ln(-c^2*x^2+1)/c/d^3/sqrt(-c^2*d*x^2+d),1],
[(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2,x,11,-15/64*b^2*d*x*sqrt(-c^2*d*x^2+d)-1/32*b^2*x*(-c^2*d*x^2+d)^(3/2)+9/64*b^2*d*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)-3/8*b*c*d*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/8*b*d*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/c+3/8*d*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+1/4*x*(-c^2*d*x^2+d)^(3/2)*(a+b*arcsin(c*x))^2+1/8*d*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,x,6,-1/4*b^2*x*sqrt(-c^2*d*x^2+d)+1/4*b^2*sqrt(-c^2*d*x^2+d)*arcsin(c*x)/c/sqrt(-c^2*x^2+1)-1/2*b*c*x^2*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))/sqrt(-c^2*x^2+1)+1/2*x*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^2+1/6*sqrt(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^3/b/c/sqrt(-c^2*x^2+1),1],
[(a+b*arcsin(c*x))^2/sqrt(-c^2*d*x^2+d),x,2,1/3*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/(-c^2*d*x^2+d)^(3/2),x,5,x*(a+b*arcsin(c*x))^2/d/sqrt(-c^2*d*x^2+d)-I*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d/sqrt(-c^2*d*x^2+d)+2*b*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)-I*b^2*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/(-c^2*d*x^2+d)^(5/2),x,8,1/3*b^2*x/d^2/sqrt(-c^2*d*x^2+d)-1/3*b*(a+b*arcsin(c*x))/c/d^2/sqrt(-c^2*x^2+1)/sqrt(-c^2*d*x^2+d)+1/3*x*(a+b*arcsin(c*x))^2/d/(-c^2*d*x^2+d)^(3/2)+2/3*x*(a+b*arcsin(c*x))^2/d^2/sqrt(-c^2*d*x^2+d)-2/3*I*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))^2/c/d^2/sqrt(-c^2*d*x^2+d)+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/sqrt(-c^2*d*x^2+d)-2/3*I*b^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),1],
[(-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^3,x,14,45/128*a*c*x^2*sqrt(-a^2*c*x^2+c)/sqrt(-a^2*x^2+1)-3/128*c*(-a^2*x^2+1)^(3/2)*sqrt(-a^2*c*x^2+c)/a-45/64*c*x*sqrt(-a^2*c*x^2+c)*arcsin(a*x)-3/32*x*(-a^2*c*x^2+c)^(3/2)*arcsin(a*x)+27/128*c*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^2/a/sqrt(-a^2*x^2+1)-9/16*a*c*x^2*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^2/sqrt(-a^2*x^2+1)+3/16*c*(-a^2*x^2+1)^(3/2)*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^2/a+3/8*c*x*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^3+1/4*x*(-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^3+3/32*c*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^4/a/sqrt(-a^2*x^2+1),1],
[sqrt(-a^2*c*x^2+c)*arcsin(a*x)^3,x,7,3/8*a*x^2*sqrt(-a^2*c*x^2+c)/sqrt(-a^2*x^2+1)-3/4*x*sqrt(-a^2*c*x^2+c)*arcsin(a*x)+3/8*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^2/a/sqrt(-a^2*x^2+1)-3/4*a*x^2*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^2/sqrt(-a^2*x^2+1)+1/2*x*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^3+1/8*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^4/a/sqrt(-a^2*x^2+1),1],
[arcsin(a*x)^3/sqrt(-a^2*c*x^2+c),x,2,1/4*sqrt(-a^2*x^2+1)*arcsin(a*x)^4/a/sqrt(-a^2*c*x^2+c),1],
[arcsin(a*x)^3/(-a^2*c*x^2+c)^(3/2),x,6,x*arcsin(a*x)^3/c/sqrt(-a^2*c*x^2+c)-I*sqrt(-a^2*x^2+1)*arcsin(a*x)^3/a/c/sqrt(-a^2*c*x^2+c)+3*sqrt(-a^2*x^2+1)*arcsin(a*x)^2*ln(1+exp(2*I*arcsin(a*x)))/a/c/sqrt(-a^2*c*x^2+c)-3*I*sqrt(-a^2*x^2+1)*arcsin(a*x)*polylog(2,-exp(2*I*arcsin(a*x)))/a/c/sqrt(-a^2*c*x^2+c)+3/2*sqrt(-a^2*x^2+1)*polylog(3,-exp(2*I*arcsin(a*x)))/a/c/sqrt(-a^2*c*x^2+c),1],
[arcsin(a*x)^3/(-a^2*c*x^2+c)^(5/2),x,10,x*arcsin(a*x)/c^2/sqrt(-a^2*c*x^2+c)-1/2*arcsin(a*x)^2/a/c^2/sqrt(-a^2*x^2+1)/sqrt(-a^2*c*x^2+c)+1/3*x*arcsin(a*x)^3/c/(-a^2*c*x^2+c)^(3/2)+2/3*x*arcsin(a*x)^3/c^2/sqrt(-a^2*c*x^2+c)-2/3*I*sqrt(-a^2*x^2+1)*arcsin(a*x)^3/a/c^2/sqrt(-a^2*c*x^2+c)+2*sqrt(-a^2*x^2+1)*arcsin(a*x)^2*ln(1+exp(2*I*arcsin(a*x)))/a/c^2/sqrt(-a^2*c*x^2+c)+1/2*sqrt(-a^2*x^2+1)*ln(-a^2*x^2+1)/a/c^2/sqrt(-a^2*c*x^2+c)-2*I*sqrt(-a^2*x^2+1)*arcsin(a*x)*polylog(2,-exp(2*I*arcsin(a*x)))/a/c^2/sqrt(-a^2*c*x^2+c)+sqrt(-a^2*x^2+1)*polylog(3,-exp(2*I*arcsin(a*x)))/a/c^2/sqrt(-a^2*c*x^2+c),1],
[(-c^2*d*x^2+d)^(5/2)/(a+b*arcsin(c*x)),x,13,15/32*d^2*sqrt(-c^2*d*x^2+d)*cos(2*a/b)*Ci(2*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1)+3/16*d^2*sqrt(-c^2*d*x^2+d)*cos(4*a/b)*Ci(4*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1)+1/32*d^2*sqrt(-c^2*d*x^2+d)*cos(6*a/b)*Ci(6*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1)+5/16*d^2*sqrt(-c^2*d*x^2+d)*ln(a+b*arcsin(c*x))/b/c/sqrt(-c^2*x^2+1)+15/32*d^2*sqrt(-c^2*d*x^2+d)*sin(2*a/b)*Si(2*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1)+3/16*d^2*sqrt(-c^2*d*x^2+d)*sin(4*a/b)*Si(4*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1)+1/32*d^2*sqrt(-c^2*d*x^2+d)*sin(6*a/b)*Si(6*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1),1],
[(-c^2*d*x^2+d)^(3/2)/(a+b*arcsin(c*x)),x,10,1/2*d*sqrt(-c^2*d*x^2+d)*cos(2*a/b)*Ci(2*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1)+1/8*d*sqrt(-c^2*d*x^2+d)*cos(4*a/b)*Ci(4*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1)+3/8*d*sqrt(-c^2*d*x^2+d)*ln(a+b*arcsin(c*x))/b/c/sqrt(-c^2*x^2+1)+1/2*d*sqrt(-c^2*d*x^2+d)*sin(2*a/b)*Si(2*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1)+1/8*d*sqrt(-c^2*d*x^2+d)*sin(4*a/b)*Si(4*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1),1],
[sqrt(-c^2*d*x^2+d)/(a+b*arcsin(c*x)),x,7,1/2*sqrt(-c^2*d*x^2+d)*cos(2*a/b)*Ci(2*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1)+1/2*sqrt(-c^2*d*x^2+d)*ln(a+b*arcsin(c*x))/b/c/sqrt(-c^2*x^2+1)+1/2*sqrt(-c^2*d*x^2+d)*sin(2*a/b)*Si(2*(a+b*arcsin(c*x))/b)/b/c/sqrt(-c^2*x^2+1),1],
[1/sqrt(-c^2*d*x^2+d)/(a+b*arcsin(c*x)),x,2,sqrt(-c^2*x^2+1)*ln(a+b*arcsin(c*x))/b/c/sqrt(-c^2*d*x^2+d),1],
[1/(-c^2*d*x^2+d)^(3/2)/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(-c^2*d*x^2+d)^(3/2)/(a+b*arcsin(c*x)),x),0],
[1/(-c^2*d*x^2+d)^(5/2)/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(-c^2*d*x^2+d)^(5/2)/(a+b*arcsin(c*x)),x),0],
[(-c^2*d*x^2+d)^(5/2)/(a+b*arcsin(c*x))^2,x,14,-d^2*(-c^2*x^2+1)^(5/2)*sqrt(-c^2*d*x^2+d)/b/c/(a+b*arcsin(c*x))+15/16*d^2*sqrt(-c^2*d*x^2+d)*Ci(2*(a+b*arcsin(c*x))/b)*sin(2*a/b)/b^2/c/sqrt(-c^2*x^2+1)+3/4*d^2*sqrt(-c^2*d*x^2+d)*Ci(4*(a+b*arcsin(c*x))/b)*sin(4*a/b)/b^2/c/sqrt(-c^2*x^2+1)+3/16*d^2*sqrt(-c^2*d*x^2+d)*Ci(6*(a+b*arcsin(c*x))/b)*sin(6*a/b)/b^2/c/sqrt(-c^2*x^2+1)-15/16*d^2*sqrt(-c^2*d*x^2+d)*cos(2*a/b)*Si(2*(a+b*arcsin(c*x))/b)/b^2/c/sqrt(-c^2*x^2+1)-3/4*d^2*sqrt(-c^2*d*x^2+d)*cos(4*a/b)*Si(4*(a+b*arcsin(c*x))/b)/b^2/c/sqrt(-c^2*x^2+1)-3/16*d^2*sqrt(-c^2*d*x^2+d)*cos(6*a/b)*Si(6*(a+b*arcsin(c*x))/b)/b^2/c/sqrt(-c^2*x^2+1),1],
[(-c^2*d*x^2+d)^(3/2)/(a+b*arcsin(c*x))^2,x,11,-d*(-c^2*x^2+1)^(3/2)*sqrt(-c^2*d*x^2+d)/b/c/(a+b*arcsin(c*x))+d*sqrt(-c^2*d*x^2+d)*Ci(2*(a+b*arcsin(c*x))/b)*sin(2*a/b)/b^2/c/sqrt(-c^2*x^2+1)+1/2*d*sqrt(-c^2*d*x^2+d)*Ci(4*(a+b*arcsin(c*x))/b)*sin(4*a/b)/b^2/c/sqrt(-c^2*x^2+1)-d*sqrt(-c^2*d*x^2+d)*cos(2*a/b)*Si(2*(a+b*arcsin(c*x))/b)/b^2/c/sqrt(-c^2*x^2+1)-1/2*d*sqrt(-c^2*d*x^2+d)*cos(4*a/b)*Si(4*(a+b*arcsin(c*x))/b)/b^2/c/sqrt(-c^2*x^2+1),1],
[sqrt(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^2,x,8,-sqrt(-c^2*x^2+1)*sqrt(-c^2*d*x^2+d)/b/c/(a+b*arcsin(c*x))+sqrt(-c^2*d*x^2+d)*Ci(2*(a+b*arcsin(c*x))/b)*sin(2*a/b)/b^2/c/sqrt(-c^2*x^2+1)-sqrt(-c^2*d*x^2+d)*cos(2*a/b)*Si(2*(a+b*arcsin(c*x))/b)/b^2/c/sqrt(-c^2*x^2+1),1],
[1/sqrt(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^2,x,2,-sqrt(-c^2*x^2+1)/b/c/sqrt(-c^2*d*x^2+d)/(a+b*arcsin(c*x)),1],
[1/(-c^2*d*x^2+d)^(3/2)/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/(-c^2*d*x^2+d)^(3/2)/(a+b*arcsin(c*x))^2,x),0],
[1/(-c^2*d*x^2+d)^(5/2)/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/(-c^2*d*x^2+d)^(5/2)/(a+b*arcsin(c*x))^2,x),0],
[(-c^2*d*x^2+d)^2*sqrt(a+b*arcsin(c*x)),x,40,8/15*d^2*x*sqrt(a+b*arcsin(c*x))+4/15*d^2*x*(-c^2*x^2+1)*sqrt(a+b*arcsin(c*x))+1/5*d^2*x*(-c^2*x^2+1)^2*sqrt(a+b*arcsin(c*x))-11/120*sqrt(b)*d^2*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-4/15*sqrt(b)*d^2*sqrt(2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-1/15*sqrt(b)*d^2*sqrt(1/6*Pi)*cos(3*a/b)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-1/80*sqrt(b)*d^2*sqrt(3/2*Pi)*cos(3*a/b)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-1/80*sqrt(b)*d^2*sqrt(1/10*Pi)*cos(5*a/b)*FresnelS(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c+11/120*sqrt(b)*d^2*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c+4/15*sqrt(b)*d^2*sqrt(2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c+1/15*sqrt(b)*d^2*sqrt(1/6*Pi)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/c+1/80*sqrt(b)*d^2*sqrt(3/2*Pi)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/c+1/80*sqrt(b)*d^2*sqrt(1/10*Pi)*FresnelC(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(5*a/b)/c,1],
[(-c^2*d*x^2+d)*sqrt(a+b*arcsin(c*x)),x,21,2/3*d*x*sqrt(a+b*arcsin(c*x))+1/3*d*x*(-c^2*x^2+1)*sqrt(a+b*arcsin(c*x))-1/12*sqrt(b)*d*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-1/3*sqrt(b)*d*sqrt(2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-1/12*sqrt(b)*d*sqrt(1/6*Pi)*cos(3*a/b)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c+1/12*sqrt(b)*d*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c+1/3*sqrt(b)*d*sqrt(2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c+1/12*sqrt(b)*d*sqrt(1/6*Pi)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*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],
[sqrt(a+b*arcsin(c*x))/(-c^2*d*x^2+d),x,0,Defer(Int)(sqrt(a+b*arcsin(c*x))/(-c^2*d*x^2+d),x),0],
[sqrt(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^2,x,0,Defer(Int)(sqrt(a+b*arcsin(c*x))/(-c^2*d*x^2+d)^2,x),0],
[(-c^2*d*x^2+d)^2*(a+b*arcsin(c*x))^(3/2),x,43,4/5*b*d^2*sqrt(-c^2*x^2+1)*sqrt(a+b*arcsin(c*x))/c+8/15*d^2*x*(a+b*arcsin(c*x))^(3/2)+4/15*d^2*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^(3/2)+1/5*d^2*x*(-c^2*x^2+1)^2*(a+b*arcsin(c*x))^(3/2)+2/15*b*d^2*sqrt(a+b*arcsin(c*x))*cos(a/b-(a+b*arcsin(c*x))/b)^3/c+3/50*b*d^2*sqrt(a+b*arcsin(c*x))*cos(a/b-(a+b*arcsin(c*x))/b)^5/c-15/16*b^(3/2)*d^2*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-1/30*b^(3/2)*d^2*sqrt(1/6*Pi)*cos(3*a/b)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-1/160*b^(3/2)*d^2*sqrt(3/2*Pi)*cos(3*a/b)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-3/800*b^(3/2)*d^2*sqrt(1/10*Pi)*cos(5*a/b)*FresnelC(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-15/16*b^(3/2)*d^2*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c-1/30*b^(3/2)*d^2*sqrt(1/6*Pi)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/c-1/160*b^(3/2)*d^2*sqrt(3/2*Pi)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/c-3/800*b^(3/2)*d^2*sqrt(1/10*Pi)*FresnelS(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(5*a/b)/c,1],
[(-c^2*d*x^2+d)*(a+b*arcsin(c*x))^(3/2),x,23,b*d*sqrt(-c^2*x^2+1)*sqrt(a+b*arcsin(c*x))/c+2/3*d*x*(a+b*arcsin(c*x))^(3/2)+1/3*d*x*(-c^2*x^2+1)*(a+b*arcsin(c*x))^(3/2)+1/6*b*d*sqrt(a+b*arcsin(c*x))*cos(a/b-(a+b*arcsin(c*x))/b)^3/c-9/8*b^(3/2)*d*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-1/24*b^(3/2)*d*sqrt(1/6*Pi)*cos(3*a/b)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-9/8*b^(3/2)*d*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c-1/24*b^(3/2)*d*sqrt(1/6*Pi)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*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],
[(a+b*arcsin(c*x))^(3/2)/(-c^2*d*x^2+d),x,0,Defer(Int)((a+b*arcsin(c*x))^(3/2)/(-c^2*d*x^2+d),x),0],
[(a+b*arcsin(c*x))^(3/2)/(-c^2*d*x^2+d)^2,x,0,Defer(Int)((a+b*arcsin(c*x))^(3/2)/(-c^2*d*x^2+d)^2,x),0],
[(-c^2*d*x^2+d)^3/sqrt(a+b*arcsin(c*x)),x,23,35/32*d^3*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c+7/32*d^3*sqrt(3/2*Pi)*cos(3*a/b)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c+7/32*d^3*sqrt(1/10*Pi)*cos(5*a/b)*FresnelC(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c+1/32*d^3*sqrt(1/14*Pi)*cos(7*a/b)*FresnelC(sqrt(14/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c+35/32*d^3*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/sqrt(b)/c+7/32*d^3*sqrt(3/2*Pi)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/sqrt(b)/c+7/32*d^3*sqrt(1/10*Pi)*FresnelS(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(5*a/b)/sqrt(b)/c+1/32*d^3*sqrt(1/14*Pi)*FresnelS(sqrt(14/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(7*a/b)/sqrt(b)/c,1],
[(-c^2*d*x^2+d)^2/sqrt(a+b*arcsin(c*x)),x,18,5/4*d^2*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c+5/8*d^2*sqrt(1/6*Pi)*cos(3*a/b)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c+1/8*d^2*sqrt(1/10*Pi)*cos(5*a/b)*FresnelC(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c+5/4*d^2*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/sqrt(b)/c+5/8*d^2*sqrt(1/6*Pi)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/sqrt(b)/c+1/8*d^2*sqrt(1/10*Pi)*FresnelS(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(5*a/b)/sqrt(b)/c,1],
[(-c^2*d*x^2+d)/sqrt(a+b*arcsin(c*x)),x,13,3/2*d*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c+1/2*d*sqrt(1/6*Pi)*cos(3*a/b)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c+3/2*d*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/sqrt(b)/c+1/2*d*sqrt(1/6*Pi)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/sqrt(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/(-c^2*d*x^2+d)/sqrt(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(-c^2*d*x^2+d)/sqrt(a+b*arcsin(c*x)),x),0],
[1/(-c^2*d*x^2+d)^2/sqrt(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(-c^2*d*x^2+d)^2/sqrt(a+b*arcsin(c*x)),x),0],
[(-c^2*d*x^2+d)^3/(a+b*arcsin(c*x))^(3/2),x,24,-2*d^3*(-c^2*x^2+1)^(7/2)/b/c/sqrt(a+b*arcsin(c*x))-35/16*d^3*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c-21/16*d^3*sqrt(3/2*Pi)*cos(3*a/b)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c-7/16*d^3*sqrt(5/2*Pi)*cos(5*a/b)*FresnelS(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c-1/16*d^3*sqrt(7/2*Pi)*cos(7*a/b)*FresnelS(sqrt(14/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c+35/16*d^3*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/b^(3/2)/c+21/16*d^3*sqrt(3/2*Pi)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/b^(3/2)/c+7/16*d^3*sqrt(5/2*Pi)*FresnelC(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(5*a/b)/b^(3/2)/c+1/16*d^3*sqrt(7/2*Pi)*FresnelC(sqrt(14/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(7*a/b)/b^(3/2)/c,1],
[(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),x,19,-2*d^2*(-c^2*x^2+1)^(5/2)/b/c/sqrt(a+b*arcsin(c*x))-5/2*d^2*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c-5/4*d^2*sqrt(3/2*Pi)*cos(3*a/b)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c-1/4*d^2*sqrt(5/2*Pi)*cos(5*a/b)*FresnelS(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c+5/2*d^2*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/b^(3/2)/c+5/4*d^2*sqrt(3/2*Pi)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/b^(3/2)/c+1/4*d^2*sqrt(5/2*Pi)*FresnelC(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(5*a/b)/b^(3/2)/c,1],
[(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^(3/2),x,14,-2*d*(-c^2*x^2+1)^(3/2)/b/c/sqrt(a+b*arcsin(c*x))-3*d*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c-d*sqrt(3/2*Pi)*cos(3*a/b)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c+3*d*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/b^(3/2)/c+d*sqrt(3/2*Pi)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/b^(3/2)/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/(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^(3/2),x,0,Defer(Int)(1/(-c^2*d*x^2+d)/(a+b*arcsin(c*x))^(3/2),x),0],
[1/(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),x,0,Defer(Int)(1/(-c^2*d*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),x),0],
[(-a^2*c*x^2+c)^(3/2)*sqrt(arcsin(a*x)),x,16,3/8*c*x*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))+1/4*x*(-a^2*c*x^2+c)^(3/2)*sqrt(arcsin(a*x))+1/4*c*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(3/2)/a/sqrt(-a^2*x^2+1)-1/64*c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(2/Pi)*sqrt(arcsin(a*x)))/a/sqrt(-a^2*x^2+1)-1/8*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x)),x,8,1/2*x*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))+1/3*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(3/2)/a/sqrt(-a^2*x^2+1)-1/8*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[sqrt(arcsin(a*x))/sqrt(-a^2*c*x^2+c),x,2,2/3*sqrt(-a^2*x^2+1)*arcsin(a*x)^(3/2)/a/sqrt(-a^2*c*x^2+c),1],
[sqrt(arcsin(a*x))/(-a^2*c*x^2+c)^(3/2),x,0,Defer(Int)(sqrt(arcsin(a*x))/(-a^2*c*x^2+c)^(3/2),x),0],
[sqrt(arcsin(a*x))/(-a^2*c*x^2+c)^(5/2),x,0,Defer(Int)(sqrt(arcsin(a*x))/(-a^2*c*x^2+c)^(5/2),x),0],
[(-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(3/2),x,18,27/256*c*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))/a/sqrt(-a^2*x^2+1)-9/32*a*c*x^2*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))/sqrt(-a^2*x^2+1)+3/32*c*(-a^2*x^2+1)^(3/2)*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))/a+3/8*c*x*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(3/2)+1/4*x*(-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(3/2)+3/20*c*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(5/2)/a/sqrt(-a^2*x^2+1)-3/512*c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(2/Pi)*sqrt(arcsin(a*x)))/a/sqrt(-a^2*x^2+1)-3/32*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(3/2),x,9,3/16*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))/a/sqrt(-a^2*x^2+1)-3/8*a*x^2*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))/sqrt(-a^2*x^2+1)+1/2*x*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(3/2)+1/5*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(5/2)/a/sqrt(-a^2*x^2+1)-3/32*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[arcsin(a*x)^(3/2)/sqrt(-a^2*c*x^2+c),x,2,2/5*sqrt(-a^2*x^2+1)*arcsin(a*x)^(5/2)/a/sqrt(-a^2*c*x^2+c),1],
[arcsin(a*x)^(3/2)/(-a^2*c*x^2+c)^(3/2),x,0,Defer(Int)(arcsin(a*x)^(3/2)/(-a^2*c*x^2+c)^(3/2),x),0],
[arcsin(a*x)^(3/2)/(-a^2*c*x^2+c)^(5/2),x,0,Defer(Int)(arcsin(a*x)^(3/2)/(-a^2*c*x^2+c)^(5/2),x),0],
[(-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(5/2),x,27,-225/512*c*x*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))-15/256*c*x*(-a^2*x^2+1)*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))+45/256*c*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(3/2)/a/sqrt(-a^2*x^2+1)-15/32*a*c*x^2*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(3/2)/sqrt(-a^2*x^2+1)+5/32*c*(-a^2*x^2+1)^(3/2)*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(3/2)/a+3/8*c*x*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(5/2)+1/4*x*(-a^2*c*x^2+c)^(3/2)*arcsin(a*x)^(5/2)+3/28*c*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(7/2)/a/sqrt(-a^2*x^2+1)+15/4096*c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(2/Pi)*sqrt(arcsin(a*x)))/a/sqrt(-a^2*x^2+1)+15/128*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(5/2),x,11,-15/32*x*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))+5/16*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(3/2)/a/sqrt(-a^2*x^2+1)-5/8*a*x^2*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(3/2)/sqrt(-a^2*x^2+1)+1/2*x*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(5/2)+1/7*sqrt(-a^2*c*x^2+c)*arcsin(a*x)^(7/2)/a/sqrt(-a^2*x^2+1)+15/128*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[arcsin(a*x)^(5/2)/sqrt(-a^2*c*x^2+c),x,2,2/7*sqrt(-a^2*x^2+1)*arcsin(a*x)^(7/2)/a/sqrt(-a^2*c*x^2+c),1],
[arcsin(a*x)^(5/2)/(-a^2*c*x^2+c)^(3/2),x,0,Defer(Int)(arcsin(a*x)^(5/2)/(-a^2*c*x^2+c)^(3/2),x),0],
[arcsin(a*x)^(5/2)/(-a^2*c*x^2+c)^(5/2),x,0,Defer(Int)(arcsin(a*x)^(5/2)/(-a^2*c*x^2+c)^(5/2),x),0],
[(a^2-x^2)^(3/2)*sqrt(arcsin(x/a)),x,16,3/8*a^2*x*sqrt(a^2-x^2)*sqrt(arcsin(x/a))+1/4*x*(a^2-x^2)^(3/2)*sqrt(arcsin(x/a))+1/4*a^3*sqrt(a^2-x^2)*arcsin(x/a)^(3/2)/sqrt(1-x^2/a^2)-1/64*a^3*sqrt(1/2*Pi)*sqrt(a^2-x^2)*FresnelS(2*sqrt(2/Pi)*sqrt(arcsin(x/a)))/sqrt(1-x^2/a^2)-1/8*a^3*sqrt(Pi)*sqrt(a^2-x^2)*FresnelS(2*sqrt(arcsin(x/a))/sqrt(Pi))/sqrt(1-x^2/a^2),1],
[sqrt(a^2-x^2)*sqrt(arcsin(x/a)),x,8,1/2*x*sqrt(a^2-x^2)*sqrt(arcsin(x/a))+1/3*a*sqrt(a^2-x^2)*arcsin(x/a)^(3/2)/sqrt(1-x^2/a^2)-1/8*a*sqrt(Pi)*sqrt(a^2-x^2)*FresnelS(2*sqrt(arcsin(x/a))/sqrt(Pi))/sqrt(1-x^2/a^2),1],
[sqrt(arcsin(x/a))/sqrt(a^2-x^2),x,2,2/3*a*sqrt(1-x^2/a^2)*arcsin(x/a)^(3/2)/sqrt(a^2-x^2),1],
[sqrt(arcsin(x/a))/(a^2-x^2)^(3/2),x,0,Defer(Int)(sqrt(arcsin(x/a))/(a^2-x^2)^(3/2),x),0],
[sqrt(arcsin(x/a))/(a^2-x^2)^(5/2),x,0,Defer(Int)(sqrt(arcsin(x/a))/(a^2-x^2)^(5/2),x),0],
[(a^2-x^2)^(3/2)*arcsin(x/a)^(3/2),x,18,27/256*a^3*sqrt(a^2-x^2)*sqrt(arcsin(x/a))/sqrt(1-x^2/a^2)-9/32*a*x^2*sqrt(a^2-x^2)*sqrt(arcsin(x/a))/sqrt(1-x^2/a^2)+3/32*(a^2-x^2)^(5/2)*sqrt(arcsin(x/a))/a/sqrt(1-x^2/a^2)+3/8*a^2*x*sqrt(a^2-x^2)*arcsin(x/a)^(3/2)+1/4*x*(a^2-x^2)^(3/2)*arcsin(x/a)^(3/2)+3/20*a^3*sqrt(a^2-x^2)*arcsin(x/a)^(5/2)/sqrt(1-x^2/a^2)-3/512*a^3*sqrt(1/2*Pi)*sqrt(a^2-x^2)*FresnelC(2*sqrt(2/Pi)*sqrt(arcsin(x/a)))/sqrt(1-x^2/a^2)-3/32*a^3*sqrt(Pi)*sqrt(a^2-x^2)*FresnelC(2*sqrt(arcsin(x/a))/sqrt(Pi))/sqrt(1-x^2/a^2),1],
[sqrt(a^2-x^2)*arcsin(x/a)^(3/2),x,9,3/16*a*sqrt(a^2-x^2)*sqrt(arcsin(x/a))/sqrt(1-x^2/a^2)-3/8*x^2*sqrt(a^2-x^2)*sqrt(arcsin(x/a))/a/sqrt(1-x^2/a^2)+1/2*x*sqrt(a^2-x^2)*arcsin(x/a)^(3/2)+1/5*a*sqrt(a^2-x^2)*arcsin(x/a)^(5/2)/sqrt(1-x^2/a^2)-3/32*a*sqrt(Pi)*sqrt(a^2-x^2)*FresnelC(2*sqrt(arcsin(x/a))/sqrt(Pi))/sqrt(1-x^2/a^2),1],
[arcsin(x/a)^(3/2)/sqrt(a^2-x^2),x,2,2/5*a*sqrt(1-x^2/a^2)*arcsin(x/a)^(5/2)/sqrt(a^2-x^2),1],
[arcsin(x/a)^(3/2)/(a^2-x^2)^(3/2),x,0,Defer(Int)(arcsin(x/a)^(3/2)/(a^2-x^2)^(3/2),x),0],
[arcsin(x/a)^(3/2)/(a^2-x^2)^(5/2),x,0,Defer(Int)(arcsin(x/a)^(3/2)/(a^2-x^2)^(5/2),x),0],
[(-a^2*c*x^2+c)^(5/2)/sqrt(arcsin(a*x)),x,10,5/8*c^2*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))/a/sqrt(-a^2*x^2+1)+3/16*c^2*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(2/Pi)*sqrt(arcsin(a*x)))/a/sqrt(-a^2*x^2+1)+1/32*c^2*sqrt(1/3*Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(3/Pi)*sqrt(arcsin(a*x)))/a/sqrt(-a^2*x^2+1)+15/32*c^2*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[(-a^2*c*x^2+c)^(3/2)/sqrt(arcsin(a*x)),x,8,3/4*c*sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))/a/sqrt(-a^2*x^2+1)+1/8*c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(2/Pi)*sqrt(arcsin(a*x)))/a/sqrt(-a^2*x^2+1)+1/2*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[sqrt(-a^2*c*x^2+c)/sqrt(arcsin(a*x)),x,6,sqrt(-a^2*c*x^2+c)*sqrt(arcsin(a*x))/a/sqrt(-a^2*x^2+1)+1/2*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[1/sqrt(-a^2*c*x^2+c)/sqrt(arcsin(a*x)),x,2,2*sqrt(-a^2*x^2+1)*sqrt(arcsin(a*x))/a/sqrt(-a^2*c*x^2+c),1],
[1/(-a^2*c*x^2+c)^(3/2)/sqrt(arcsin(a*x)),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(3/2)/sqrt(arcsin(a*x)),x),0],
[1/(-a^2*c*x^2+c)^(5/2)/sqrt(arcsin(a*x)),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(5/2)/sqrt(arcsin(a*x)),x),0],
[(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(3/2),x,11,-2*c^2*(-a^2*x^2+1)^(5/2)*sqrt(-a^2*c*x^2+c)/a/sqrt(arcsin(a*x))-3/2*c^2*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(2/Pi)*sqrt(arcsin(a*x)))/a/sqrt(-a^2*x^2+1)-1/8*c^2*sqrt(3*Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(3/Pi)*sqrt(arcsin(a*x)))/a/sqrt(-a^2*x^2+1)-15/8*c^2*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(3/2),x,9,-2*c*(-a^2*x^2+1)^(3/2)*sqrt(-a^2*c*x^2+c)/a/sqrt(arcsin(a*x))-c*sqrt(1/2*Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(2/Pi)*sqrt(arcsin(a*x)))/a/sqrt(-a^2*x^2+1)-2*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[sqrt(-a^2*c*x^2+c)/arcsin(a*x)^(3/2),x,7,-2*sqrt(-a^2*x^2+1)*sqrt(-a^2*c*x^2+c)/a/sqrt(arcsin(a*x))-2*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelS(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[1/sqrt(-a^2*c*x^2+c)/arcsin(a*x)^(3/2),x,2,-2*sqrt(-a^2*x^2+1)/a/sqrt(-a^2*c*x^2+c)/sqrt(arcsin(a*x)),1],
[1/(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(3/2),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(3/2),x),0],
[1/(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(3/2),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(3/2),x),0],
[(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(5/2),x,13,-2/3*c*(-a^2*x^2+1)^(3/2)*sqrt(-a^2*c*x^2+c)/a/arcsin(a*x)^(3/2)+16/3*x*(-a^2*c*x^2+c)^(3/2)/sqrt(arcsin(a*x))-4/3*c*sqrt(2*Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(2/Pi)*sqrt(arcsin(a*x)))/a/sqrt(-a^2*x^2+1)-8/3*c*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[sqrt(-a^2*c*x^2+c)/arcsin(a*x)^(5/2),x,5,-2/3*sqrt(-a^2*x^2+1)*sqrt(-a^2*c*x^2+c)/a/arcsin(a*x)^(3/2)+8/3*x*sqrt(-a^2*c*x^2+c)/sqrt(arcsin(a*x))-8/3*sqrt(Pi)*sqrt(-a^2*c*x^2+c)*FresnelC(2*sqrt(arcsin(a*x))/sqrt(Pi))/a/sqrt(-a^2*x^2+1),1],
[1/sqrt(-a^2*c*x^2+c)/arcsin(a*x)^(5/2),x,2,-2/3*sqrt(-a^2*x^2+1)/a/sqrt(-a^2*c*x^2+c)/arcsin(a*x)^(3/2),1],
[1/(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(5/2),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(3/2)/arcsin(a*x)^(5/2),x),0],
[1/(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(5/2),x,0,Defer(Int)(1/(-a^2*c*x^2+c)^(5/2)/arcsin(a*x)^(5/2),x),0],
[(e*x^2+d)^4*(a+b*arcsin(c*x)),x,5,1/315*b*(315*c^8*d^4+420*c^6*d^3*e+378*c^4*d^2*e^2+180*c^2*d*e^3+35*e^4)*sqrt(-c^2*x^2+1)/c^9-4/945*b*e*(105*c^6*d^3+189*c^4*d^2*e+135*c^2*d*e^2+35*e^3)*(-c^2*x^2+1)^(3/2)/c^9+2/525*b*e^2*(63*c^4*d^2+90*c^2*d*e+35*e^2)*(-c^2*x^2+1)^(5/2)/c^9-4/441*b*e^3*(9*c^2*d+7*e)*(-c^2*x^2+1)^(7/2)/c^9+1/81*b*e^4*(-c^2*x^2+1)^(9/2)/c^9+d^4*x*(a+b*arcsin(c*x))+4/3*d^3*e*x^3*(a+b*arcsin(c*x))+6/5*d^2*e^2*x^5*(a+b*arcsin(c*x))+4/7*d*e^3*x^7*(a+b*arcsin(c*x))+1/9*e^4*x^9*(a+b*arcsin(c*x)),1],
[(e*x^2+d)^3*(a+b*arcsin(c*x)),x,5,1/35*b*(35*c^6*d^3+35*c^4*d^2*e+21*c^2*d*e^2+5*e^3)*sqrt(-c^2*x^2+1)/c^7-1/105*b*e*(35*c^4*d^2+42*c^2*d*e+15*e^2)*(-c^2*x^2+1)^(3/2)/c^7+3/175*b*e^2*(7*c^2*d+5*e)*(-c^2*x^2+1)^(5/2)/c^7-1/49*b*e^3*(-c^2*x^2+1)^(7/2)/c^7+d^3*x*(a+b*arcsin(c*x))+d^2*e*x^3*(a+b*arcsin(c*x))+3/5*d*e^2*x^5*(a+b*arcsin(c*x))+1/7*e^3*x^7*(a+b*arcsin(c*x)),1],
[(e*x^2+d)^2*(a+b*arcsin(c*x)),x,5,1/15*b*(15*c^4*d^2+10*c^2*d*e+3*e^2)*sqrt(-c^2*x^2+1)/c^5-2/45*b*e*(5*c^2*d+3*e)*(-c^2*x^2+1)^(3/2)/c^5+1/25*b*e^2*(-c^2*x^2+1)^(5/2)/c^5+d^2*x*(a+b*arcsin(c*x))+2/3*d*e*x^3*(a+b*arcsin(c*x))+1/5*e^2*x^5*(a+b*arcsin(c*x)),1],
[(e*x^2+d)*(a+b*arcsin(c*x)),x,4,1/3*b*(3*c^2*d+e)*sqrt(-c^2*x^2+1)/c^3-1/9*b*e*(-c^2*x^2+1)^(3/2)/c^3+d*x*(a+b*arcsin(c*x))+1/3*e*x^3*(a+b*arcsin(c*x)),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^2+d),x,18,1/2*(a+b*arcsin(c*x))*ln(1-sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)-sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arcsin(c*x))*ln(1+sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)-sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*(a+b*arcsin(c*x))*ln(1-sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)+sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arcsin(c*x))*ln(1+sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)+sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*I*b*polylog(2,-sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)-sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*I*b*polylog(2,sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)-sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*I*b*polylog(2,-sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)+sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*I*b*polylog(2,sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)+sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e),1],
[(e*x^2+d)^3*(a+b*arcsin(c*x))^2,x,26,-2*b^2*d^3*x-4/3*b^2*d^2*e*x/c^2-16/25*b^2*d*e^2*x/c^4-32/245*b^2*e^3*x/c^6-2/9*b^2*d^2*e*x^3-8/75*b^2*d*e^2*x^3/c^2-16/735*b^2*e^3*x^3/c^4-6/125*b^2*d*e^2*x^5-12/1225*b^2*e^3*x^5/c^2-2/343*b^2*e^3*x^7+2*b*d^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+4/3*b*d^2*e*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+16/25*b*d*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^5+32/245*b*e^3*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^7+2/3*b*d^2*e*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+8/25*b*d*e^2*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+16/245*b*e^3*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^5+6/25*b*d*e^2*x^4*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+12/245*b*e^3*x^4*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+2/49*b*e^3*x^6*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+d^3*x*(a+b*arcsin(c*x))^2+d^2*e*x^3*(a+b*arcsin(c*x))^2+3/5*d*e^2*x^5*(a+b*arcsin(c*x))^2+1/7*e^3*x^7*(a+b*arcsin(c*x))^2,1],
[(e*x^2+d)^2*(a+b*arcsin(c*x))^2,x,17,-2*b^2*d^2*x-8/9*b^2*d*e*x/c^2-16/75*b^2*e^2*x/c^4-4/27*b^2*d*e*x^3-8/225*b^2*e^2*x^3/c^2-2/125*b^2*e^2*x^5+2*b*d^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+8/9*b*d*e*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+16/75*b*e^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^5+4/9*b*d*e*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+8/75*b*e^2*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+2/25*b*e^2*x^4*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+d^2*x*(a+b*arcsin(c*x))^2+2/3*d*e*x^3*(a+b*arcsin(c*x))^2+1/5*e^2*x^5*(a+b*arcsin(c*x))^2,1],
[(e*x^2+d)*(a+b*arcsin(c*x))^2,x,10,-2*b^2*d*x-4/9*b^2*e*x/c^2-2/27*b^2*e*x^3+2*b*d*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+4/9*b*e*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c^3+2/9*b*e*x^2*sqrt(-c^2*x^2+1)*(a+b*arcsin(c*x))/c+d*x*(a+b*arcsin(c*x))^2+1/3*e*x^3*(a+b*arcsin(c*x))^2,1],
[(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^2+d),x,22,1/2*(a+b*arcsin(c*x))^2*ln(1-sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)-sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arcsin(c*x))^2*ln(1+sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)-sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)+1/2*(a+b*arcsin(c*x))^2*ln(1-sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)+sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)-1/2*(a+b*arcsin(c*x))^2*ln(1+sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)+sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)+I*b*(a+b*arcsin(c*x))*polylog(2,-sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)-sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)-I*b*(a+b*arcsin(c*x))*polylog(2,sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)-sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)+I*b*(a+b*arcsin(c*x))*polylog(2,-sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)+sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)-I*b*(a+b*arcsin(c*x))*polylog(2,sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)+sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)-b^2*polylog(3,-sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)-sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)+b^2*polylog(3,sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)-sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)-b^2*polylog(3,-sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)+sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e)+b^2*polylog(3,sqrt(e)*exp(I*arcsin(c*x))/(I*c*sqrt(-d)+sqrt(c^2*d+e)))/sqrt(-d)/sqrt(e),1],
[(e*x^2+d)^2/(a+b*arcsin(c*x)),x,27,d^2*cos(a/b)*Ci((a+b*arcsin(c*x))/b)/b/c+1/2*d*e*cos(a/b)*Ci((a+b*arcsin(c*x))/b)/b/c^3+1/8*e^2*cos(a/b)*Ci((a+b*arcsin(c*x))/b)/b/c^5-1/2*d*e*cos(3*a/b)*Ci(3*(a+b*arcsin(c*x))/b)/b/c^3-3/16*e^2*cos(3*a/b)*Ci(3*(a+b*arcsin(c*x))/b)/b/c^5+1/16*e^2*cos(5*a/b)*Ci(5*(a+b*arcsin(c*x))/b)/b/c^5+d^2*sin(a/b)*Si((a+b*arcsin(c*x))/b)/b/c+1/2*d*e*sin(a/b)*Si((a+b*arcsin(c*x))/b)/b/c^3+1/8*e^2*sin(a/b)*Si((a+b*arcsin(c*x))/b)/b/c^5-1/2*d*e*sin(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b/c^3-3/16*e^2*sin(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b/c^5+1/16*e^2*sin(5*a/b)*Si(5*(a+b*arcsin(c*x))/b)/b/c^5,1],
[(e*x^2+d)/(a+b*arcsin(c*x)),x,15,d*cos(a/b)*Ci((a+b*arcsin(c*x))/b)/b/c+1/4*e*cos(a/b)*Ci((a+b*arcsin(c*x))/b)/b/c^3-1/4*e*cos(3*a/b)*Ci(3*(a+b*arcsin(c*x))/b)/b/c^3+d*sin(a/b)*Si((a+b*arcsin(c*x))/b)/b/c+1/4*e*sin(a/b)*Si((a+b*arcsin(c*x))/b)/b/c^3-1/4*e*sin(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b/c^3,1],
[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^2+d)/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(e*x^2+d)/(a+b*arcsin(c*x)),x),0],
[1/(e*x^2+d)^2/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*arcsin(c*x)),x),0],
[(e*x^2+d)^2/(a+b*arcsin(c*x))^2,x,26,-d^2*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))-2*d*e*x^2*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))-e^2*x^4*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))+d^2*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c+1/2*d*e*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c^3+1/8*e^2*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c^5-3/2*d*e*Ci(3*(a+b*arcsin(c*x))/b)*sin(3*a/b)/b^2/c^3-9/16*e^2*Ci(3*(a+b*arcsin(c*x))/b)*sin(3*a/b)/b^2/c^5+5/16*e^2*Ci(5*(a+b*arcsin(c*x))/b)*sin(5*a/b)/b^2/c^5-d^2*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c-1/2*d*e*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c^3-1/8*e^2*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c^5+3/2*d*e*cos(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b^2/c^3+9/16*e^2*cos(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b^2/c^5-5/16*e^2*cos(5*a/b)*Si(5*(a+b*arcsin(c*x))/b)/b^2/c^5,1],
[(e*x^2+d)/(a+b*arcsin(c*x))^2,x,15,-d*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))-e*x^2*sqrt(-c^2*x^2+1)/b/c/(a+b*arcsin(c*x))+d*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c+1/4*e*Ci((a+b*arcsin(c*x))/b)*sin(a/b)/b^2/c^3-3/4*e*Ci(3*(a+b*arcsin(c*x))/b)*sin(3*a/b)/b^2/c^3-d*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c-1/4*e*cos(a/b)*Si((a+b*arcsin(c*x))/b)/b^2/c^3+3/4*e*cos(3*a/b)*Si(3*(a+b*arcsin(c*x))/b)/b^2/c^3,1],
[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^2+d)/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)/(a+b*arcsin(c*x))^2,x),0],
[1/(e*x^2+d)^2/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*arcsin(c*x))^2,x),0],
[sqrt(e*x^2+d)*(a+b*arcsin(c*x)),x,0,Defer(Int)(sqrt(e*x^2+d)*(a+b*arcsin(c*x)),x),0],
[(a+b*arcsin(c*x))/sqrt(e*x^2+d),x,0,Defer(Int)((a+b*arcsin(c*x))/sqrt(e*x^2+d),x),0],
[(a+b*arcsin(c*x))/(e*x^2+d)^(3/2),x,5,x*(a+b*arcsin(c*x))/d/sqrt(e*x^2+d)+b*arctan(sqrt(e)*sqrt(-c^2*x^2+1)/c/sqrt(e*x^2+d))/d/sqrt(e),1],
[(a+b*arcsin(c*x))/(e*x^2+d)^(5/2),x,6,1/3*b*c*sqrt(-c^2*x^2+1)/d/(c^2*d+e)/sqrt(e*x^2+d)+1/3*x*(a+b*arcsin(c*x))/d/(e*x^2+d)^(3/2)+2/3*x*(a+b*arcsin(c*x))/d^2/sqrt(e*x^2+d)+2/3*b*arctan(sqrt(e)*sqrt(-c^2*x^2+1)/c/sqrt(e*x^2+d))/d^2/sqrt(e),1],
[(a+b*arcsin(c*x))/(e*x^2+d)^(7/2),x,7,1/15*b*c*sqrt(-c^2*x^2+1)/d/(c^2*d+e)/(e*x^2+d)^(3/2)+2/15*b*c*(3*c^2*d+2*e)*sqrt(-c^2*x^2+1)/d^2/(c^2*d+e)^2/sqrt(e*x^2+d)+1/5*x*(a+b*arcsin(c*x))/d/(e*x^2+d)^(5/2)+4/15*x*(a+b*arcsin(c*x))/d^2/(e*x^2+d)^(3/2)+8/15*x*(a+b*arcsin(c*x))/d^3/sqrt(e*x^2+d)+8/15*b*arctan(sqrt(e)*sqrt(-c^2*x^2+1)/c/sqrt(e*x^2+d))/d^3/sqrt(e),1],
[sqrt(e*x^2+d)*(a+b*arcsin(c*x))^2,x,0,Defer(Int)(sqrt(e*x^2+d)*(a+b*arcsin(c*x))^2,x),0],
[(a+b*arcsin(c*x))^2/sqrt(e*x^2+d),x,0,Defer(Int)((a+b*arcsin(c*x))^2/sqrt(e*x^2+d),x),0],
[(a+b*arcsin(c*x))^2/(e*x^2+d)^(3/2),x,0,Defer(Int)((a+b*arcsin(c*x))^2/(e*x^2+d)^(3/2),x),0],
[(a+b*arcsin(c*x))^2/(e*x^2+d)^(5/2),x,0,Defer(Int)((a+b*arcsin(c*x))^2/(e*x^2+d)^(5/2),x),0],
[sqrt(e*x^2+d)/(a+b*arcsin(c*x)),x,0,Defer(Int)(sqrt(e*x^2+d)/(a+b*arcsin(c*x)),x),0],
[1/sqrt(e*x^2+d)/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/sqrt(e*x^2+d)/(a+b*arcsin(c*x)),x),0],
[1/(e*x^2+d)^(3/2)/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^(3/2)/(a+b*arcsin(c*x)),x),0],
[1/(e*x^2+d)^(5/2)/(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^(5/2)/(a+b*arcsin(c*x)),x),0],
[sqrt(e*x^2+d)/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(sqrt(e*x^2+d)/(a+b*arcsin(c*x))^2,x),0],
[1/sqrt(e*x^2+d)/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/sqrt(e*x^2+d)/(a+b*arcsin(c*x))^2,x),0],
[1/(e*x^2+d)^(3/2)/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)^(3/2)/(a+b*arcsin(c*x))^2,x),0],
[1/(e*x^2+d)^(5/2)/(a+b*arcsin(c*x))^2,x,0,Defer(Int)(1/(e*x^2+d)^(5/2)/(a+b*arcsin(c*x))^2,x),0],
[(e*x^2+d)^2*sqrt(a+b*arcsin(c*x)),x,42,d^2*x*sqrt(a+b*arcsin(c*x))+2/3*d*e*x^3*sqrt(a+b*arcsin(c*x))+1/5*e^2*x^5*sqrt(a+b*arcsin(c*x))-sqrt(b)*d^2*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-1/2*sqrt(b)*d*e*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c^3-1/8*sqrt(b)*e^2*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c^5+1/6*sqrt(b)*d*e*sqrt(1/6*Pi)*cos(3*a/b)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c^3+1/16*sqrt(b)*e^2*sqrt(1/6*Pi)*cos(3*a/b)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c^5-1/80*sqrt(b)*e^2*sqrt(1/10*Pi)*cos(5*a/b)*FresnelS(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c^5+sqrt(b)*d^2*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c+1/2*sqrt(b)*d*e*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c^3+1/8*sqrt(b)*e^2*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c^5-1/6*sqrt(b)*d*e*sqrt(1/6*Pi)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/c^3-1/16*sqrt(b)*e^2*sqrt(1/6*Pi)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/c^5+1/80*sqrt(b)*e^2*sqrt(1/10*Pi)*FresnelC(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(5*a/b)/c^5,1],
[(e*x^2+d)*sqrt(a+b*arcsin(c*x)),x,23,d*x*sqrt(a+b*arcsin(c*x))+1/3*e*x^3*sqrt(a+b*arcsin(c*x))-sqrt(b)*d*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-1/4*sqrt(b)*e*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c^3+1/12*sqrt(b)*e*sqrt(1/6*Pi)*cos(3*a/b)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c^3+sqrt(b)*d*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c+1/4*sqrt(b)*e*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c^3-1/12*sqrt(b)*e*sqrt(1/6*Pi)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/c^3,1],
[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],
[sqrt(a+b*arcsin(c*x))/(e*x^2+d),x,0,Defer(Int)(sqrt(a+b*arcsin(c*x))/(e*x^2+d),x),0],
[sqrt(a+b*arcsin(c*x))/(e*x^2+d)^2,x,0,Defer(Int)(sqrt(a+b*arcsin(c*x))/(e*x^2+d)^2,x),0],
[(e*x^2+d)*(a+b*arcsin(c*x))^(3/2),x,32,3/2*b*d*sqrt(-c^2*x^2+1)*sqrt(a+b*arcsin(c*x))/c+1/3*b*e*sqrt(-c^2*x^2+1)*sqrt(a+b*arcsin(c*x))/c^3+1/6*b*e*x^2*sqrt(-c^2*x^2+1)*sqrt(a+b*arcsin(c*x))/c+d*x*(a+b*arcsin(c*x))^(3/2)+1/3*e*x^3*(a+b*arcsin(c*x))^(3/2)-3/2*b^(3/2)*d*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c-3/8*b^(3/2)*e*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c^3+1/24*b^(3/2)*e*sqrt(1/6*Pi)*cos(3*a/b)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/c^3-3/2*b^(3/2)*d*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c-3/8*b^(3/2)*e*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/c^3+1/24*b^(3/2)*e*sqrt(1/6*Pi)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/c^3,1],
[(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],
[(a+b*arcsin(c*x))^(3/2)/(e*x^2+d),x,0,Defer(Int)((a+b*arcsin(c*x))^(3/2)/(e*x^2+d),x),0],
[(a+b*arcsin(c*x))^(3/2)/(e*x^2+d)^2,x,0,Defer(Int)((a+b*arcsin(c*x))^(3/2)/(e*x^2+d)^2,x),0],
[(e*x^2+d)^2/sqrt(a+b*arcsin(c*x)),x,39,d*e*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c^3+1/4*e^2*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c^5+d^2*sqrt(2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c-d*e*sqrt(1/6*Pi)*cos(3*a/b)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c^3-1/8*e^2*sqrt(3/2*Pi)*cos(3*a/b)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c^5+1/8*e^2*sqrt(1/10*Pi)*cos(5*a/b)*FresnelC(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c^5+d*e*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/sqrt(b)/c^3+1/4*e^2*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/sqrt(b)/c^5+d^2*sqrt(2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/sqrt(b)/c-d*e*sqrt(1/6*Pi)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/sqrt(b)/c^3-1/8*e^2*sqrt(3/2*Pi)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/sqrt(b)/c^5+1/8*e^2*sqrt(1/10*Pi)*FresnelS(sqrt(10/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(5*a/b)/sqrt(b)/c^5,1],
[(e*x^2+d)/sqrt(a+b*arcsin(c*x)),x,21,1/2*e*sqrt(1/2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c^3+d*sqrt(2*Pi)*cos(a/b)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c-1/2*e*sqrt(1/6*Pi)*cos(3*a/b)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/sqrt(b)/c^3+1/2*e*sqrt(1/2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/sqrt(b)/c^3+d*sqrt(2*Pi)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/sqrt(b)/c-1/2*e*sqrt(1/6*Pi)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/sqrt(b)/c^3,1],
[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/(e*x^2+d)/sqrt(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(e*x^2+d)/sqrt(a+b*arcsin(c*x)),x),0],
[1/(e*x^2+d)^2/sqrt(a+b*arcsin(c*x)),x,0,Defer(Int)(1/(e*x^2+d)^2/sqrt(a+b*arcsin(c*x)),x),0],
[(e*x^2+d)/(a+b*arcsin(c*x))^(3/2),x,21,-2*d*sqrt(-c^2*x^2+1)/b/c/sqrt(a+b*arcsin(c*x))-2*e*x^2*sqrt(-c^2*x^2+1)/b/c/sqrt(a+b*arcsin(c*x))-e*sqrt(1/2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c^3-2*d*sqrt(2*Pi)*cos(a/b)*FresnelS(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c+e*sqrt(3/2*Pi)*cos(3*a/b)*FresnelS(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))/b^(3/2)/c^3+e*sqrt(1/2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/b^(3/2)/c^3+2*d*sqrt(2*Pi)*FresnelC(sqrt(2/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(a/b)/b^(3/2)/c-e*sqrt(3/2*Pi)*FresnelC(sqrt(6/Pi)*sqrt(a+b*arcsin(c*x))/sqrt(b))*sin(3*a/b)/b^(3/2)/c^3,1],
[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/(e*x^2+d)/(a+b*arcsin(c*x))^(3/2),x,0,Defer(Int)(1/(e*x^2+d)/(a+b*arcsin(c*x))^(3/2),x),0],
[1/(e*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),x,0,Defer(Int)(1/(e*x^2+d)^2/(a+b*arcsin(c*x))^(3/2),x),0]]: