lst:=[[x^3*(b*x+a)*(-b*c*x+a*c),x,2,1/4*a^2*c*x^4-1/6*b^2*c*x^6,1],
[x^2*(b*x+a)*(-b*c*x+a*c),x,2,1/3*a^2*c*x^3-1/5*b^2*c*x^5,1],
[x*(b*x+a)*(-b*c*x+a*c),x,2,1/2*a^2*c*x^2-1/4*b^2*c*x^4,1],
[(b*x+a)*(-b*c*x+a*c),x,2,a^2*c*x-1/3*b^2*c*x^3,1],
[(b*x+a)*(-b*c*x+a*c)/x,x,2,-1/2*b^2*c*x^2+a^2*c*ln(x),1],
[(b*x+a)*(-b*c*x+a*c)/x^2,x,2,-a^2*c/x-b^2*c*x,1],
[(b*x+a)*(-b*c*x+a*c)/x^3,x,2,-1/2*a^2*c/x^2-b^2*c*ln(x),1],
[(b*x+a)*(-b*c*x+a*c)/x^4,x,2,-1/3*a^2*c/x^3+b^2*c/x,1],
[(b*x+a)*(-b*c*x+a*c)/x^5,x,2,-1/4*a^2*c/x^4+1/2*b^2*c/x^2,1],
[x^3*(b*x+a)^2*(-b*c*x+a*c)^2,x,4,1/4*a^4*c^2*x^4-1/3*a^2*b^2*c^2*x^6+1/8*b^4*c^2*x^8,1],
[x^2*(b*x+a)^2*(-b*c*x+a*c)^2,x,3,1/3*a^4*c^2*x^3-2/5*a^2*b^2*c^2*x^5+1/7*b^4*c^2*x^7,1],
[x*(b*x+a)^2*(-b*c*x+a*c)^2,x,2,-1/6*c^2*(-b^2*x^2+a^2)^3/b^2,1],
[(b*x+a)^2*(-b*c*x+a*c)^2,x,3,a^4*c^2*x-2/3*a^2*b^2*c^2*x^3+1/5*b^4*c^2*x^5,1],
[(b*x+a)^2*(-b*c*x+a*c)^2/x,x,4,-a^2*b^2*c^2*x^2+1/4*b^4*c^2*x^4+a^4*c^2*ln(x),1],
[(b*x+a)^2*(-b*c*x+a*c)^2/x^2,x,3,-a^4*c^2/x-2*a^2*b^2*c^2*x+1/3*b^4*c^2*x^3,1],
[(b*x+a)^2*(-b*c*x+a*c)^2/x^3,x,4,-1/2*a^4*c^2/x^2+1/2*b^4*c^2*x^2-2*a^2*b^2*c^2*ln(x),1],
[(b*x+a)^2*(-b*c*x+a*c)^2/x^4,x,3,-1/3*a^4*c^2/x^3+2*a^2*b^2*c^2/x+b^4*c^2*x,1],
[(b*x+a)^2*(-b*c*x+a*c)^2/x^5,x,4,-1/4*a^4*c^2/x^4+a^2*b^2*c^2/x^2+b^4*c^2*ln(x),1],
[x^4/(b*x+a)/(-b*c*x+a*c),x,4,-a^2*x/b^4/c-1/3*x^3/b^2/c+a^3*arctanh(b*x/a)/b^5/c,1],
[x^3/(b*x+a)/(-b*c*x+a*c),x,4,-1/2*x^2/b^2/c-1/2*a^2*ln(-b^2*x^2+a^2)/b^4/c,1],
[x^2/(b*x+a)/(-b*c*x+a*c),x,3,-x/b^2/c+a*arctanh(b*x/a)/b^3/c,1],
[x/(b*x+a)/(-b*c*x+a*c),x,2,-1/2*ln(-b^2*x^2+a^2)/b^2/c,1],
[1/(b*x+a)/(-b*c*x+a*c),x,2,arctanh(b*x/a)/a/b/c,1],
[1/x/(b*x+a)/(-b*c*x+a*c),x,4,ln(x)/a^2/c-1/2*ln(-b^2*x^2+a^2)/a^2/c,1],
[1/x^2/(b*x+a)/(-b*c*x+a*c),x,3,-1/a^2/c/x+b*arctanh(b*x/a)/a^3/c,1],
[1/x^3/(b*x+a)/(-b*c*x+a*c),x,4,-1/2/a^2/c/x^2+b^2*ln(x)/a^4/c-1/2*b^2*ln(-b^2*x^2+a^2)/a^4/c,1],
[x^5/(b*x+a)^2/(-b*c*x+a*c)^2,x,4,1/2*x^2/b^4/c^2+1/2*a^4/b^6/c^2/(-b^2*x^2+a^2)+a^2*ln(-b^2*x^2+a^2)/b^6/c^2,1],
[x^4/(b*x+a)^2/(-b*c*x+a*c)^2,x,5,x/b^4/c^2+1/2*a^2*x/b^4/c^2/(-b^2*x^2+a^2)-3/2*a*arctanh(b*x/a)/b^5/c^2,1],
[x^3/(b*x+a)^2/(-b*c*x+a*c)^2,x,4,1/2*a^2/b^4/c^2/(-b^2*x^2+a^2)+1/2*ln(-b^2*x^2+a^2)/b^4/c^2,1],
[x^2/(b*x+a)^2/(-b*c*x+a*c)^2,x,3,1/2*x/b^2/c^2/(-b^2*x^2+a^2)-1/2*arctanh(b*x/a)/a/b^3/c^2,1],
[x/(b*x+a)^2/(-b*c*x+a*c)^2,x,2,1/2/b^2/c^2/(-b^2*x^2+a^2),1],
[1/(b*x+a)^2/(-b*c*x+a*c)^2,x,3,1/2*x/a^2/c^2/(-b^2*x^2+a^2)+1/2*arctanh(b*x/a)/a^3/b/c^2,1],
[1/x/(b*x+a)^2/(-b*c*x+a*c)^2,x,4,1/2/a^2/c^2/(-b^2*x^2+a^2)+ln(x)/a^4/c^2-1/2*ln(-b^2*x^2+a^2)/a^4/c^2,1],
[1/x^2/(b*x+a)^2/(-b*c*x+a*c)^2,x,4,-1/a^4/c^2/x+1/2*b^2*x/a^4/c^2/(-b^2*x^2+a^2)+3/2*b*arctanh(b*x/a)/a^5/c^2,1],
[1/x^3/(b*x+a)^2/(-b*c*x+a*c)^2,x,4,-1/2/a^4/c^2/x^2+1/2*b^2/a^4/c^2/(-b^2*x^2+a^2)+2*b^2*ln(x)/a^6/c^2-b^2*ln(-b^2*x^2+a^2)/a^6/c^2,1],
[x^6/(b*x+a)^3/(-b*c*x+a*c)^3,x,6,-x/b^6/c^3+1/4*a^4*x/b^6/c^3/(-b^2*x^2+a^2)^2-9/8*a^2*x/b^6/c^3/(-b^2*x^2+a^2)+15/8*a*arctanh(b*x/a)/b^7/c^3,1],
[x^5/(b*x+a)^3/(-b*c*x+a*c)^3,x,4,1/4*a^4/b^6/c^3/(-b^2*x^2+a^2)^2-a^2/b^6/c^3/(-b^2*x^2+a^2)-1/2*ln(-b^2*x^2+a^2)/b^6/c^3,1],
[x^4/(b*x+a)^3/(-b*c*x+a*c)^3,x,4,1/4*x^3/b^2/c^3/(-b^2*x^2+a^2)^2-3/8*x/b^4/c^3/(-b^2*x^2+a^2)+3/8*arctanh(b*x/a)/a/b^5/c^3,1],
[x^3/(b*x+a)^3/(-b*c*x+a*c)^3,x,2,1/4*x^4/a^2/c^3/(-b^2*x^2+a^2)^2,1],
[x^2/(b*x+a)^3/(-b*c*x+a*c)^3,x,4,1/4*x/b^2/c^3/(-b^2*x^2+a^2)^2-1/8*x/a^2/b^2/c^3/(-b^2*x^2+a^2)-1/8*arctanh(b*x/a)/a^3/b^3/c^3,1],
[x/(b*x+a)^3/(-b*c*x+a*c)^3,x,2,1/4/b^2/c^3/(-b^2*x^2+a^2)^2,1],
[1/(b*x+a)^3/(-b*c*x+a*c)^3,x,4,1/4*x/a^2/c^3/(-b^2*x^2+a^2)^2+3/8*x/a^4/c^3/(-b^2*x^2+a^2)+3/8*arctanh(b*x/a)/a^5/b/c^3,1],
[1/x/(b*x+a)^3/(-b*c*x+a*c)^3,x,4,1/4/a^2/c^3/(-b^2*x^2+a^2)^2+1/2/a^4/c^3/(-b^2*x^2+a^2)+ln(x)/a^6/c^3-1/2*ln(-b^2*x^2+a^2)/a^6/c^3,1],
[1/x^2/(b*x+a)^3/(-b*c*x+a*c)^3,x,5,-1/a^6/c^3/x+1/4*b^2*x/a^4/c^3/(-b^2*x^2+a^2)^2+7/8*b^2*x/a^6/c^3/(-b^2*x^2+a^2)+15/8*b*arctanh(b*x/a)/a^7/c^3,1],
[1/x^3/(b*x+a)^3/(-b*c*x+a*c)^3,x,4,-1/2/a^6/c^3/x^2+1/4*b^2/a^4/c^3/(-b^2*x^2+a^2)^2+b^2/a^6/c^3/(-b^2*x^2+a^2)+3*b^2*ln(x)/a^8/c^3-3/2*b^2*ln(-b^2*x^2+a^2)/a^8/c^3,1],
[(e*x)^(3/2)*(b*x+a)*(-b*c*x+a*c),x,4,2/5*a^2*c*(e*x)^(5/2)/e-2/9*b^2*c*(e*x)^(9/2)/e^3,1],
[sqrt(e*x)*(b*x+a)*(-b*c*x+a*c),x,4,2/3*a^2*c*(e*x)^(3/2)/e-2/7*b^2*c*(e*x)^(7/2)/e^3,1],
[(b*x+a)*(-b*c*x+a*c)/sqrt(e*x),x,4,2*a^2*c*sqrt(e*x)/e-2/5*b^2*c*(e*x)^(5/2)/e^3,1],
[(b*x+a)*(-b*c*x+a*c)/(e*x)^(3/2),x,4,-2*a^2*c/e/sqrt(e*x)-2/3*b^2*c*(e*x)^(3/2)/e^3,1],
[(b*x+a)*(-b*c*x+a*c)/(e*x)^(5/2),x,4,-2/3*a^2*c/e/(e*x)^(3/2)-2*b^2*c*sqrt(e*x)/e^3,1],
[(e*x)^(3/2)*(b*x+a)^2*(-b*c*x+a*c)^2,x,4,2/5*a^4*c^2*(e*x)^(5/2)/e-4/9*a^2*b^2*c^2*(e*x)^(9/2)/e^3+2/13*b^4*c^2*(e*x)^(13/2)/e^5,1],
[sqrt(e*x)*(b*x+a)^2*(-b*c*x+a*c)^2,x,4,2/3*a^4*c^2*(e*x)^(3/2)/e-4/7*a^2*b^2*c^2*(e*x)^(7/2)/e^3+2/11*b^4*c^2*(e*x)^(11/2)/e^5,1],
[(b*x+a)^2*(-b*c*x+a*c)^2/sqrt(e*x),x,4,2*a^4*c^2*sqrt(e*x)/e-4/5*a^2*b^2*c^2*(e*x)^(5/2)/e^3+2/9*b^4*c^2*(e*x)^(9/2)/e^5,1],
[(b*x+a)^2*(-b*c*x+a*c)^2/(e*x)^(3/2),x,4,-2*a^4*c^2/e/sqrt(e*x)-4/3*a^2*b^2*c^2*(e*x)^(3/2)/e^3+2/7*b^4*c^2*(e*x)^(7/2)/e^5,1],
[(b*x+a)^2*(-b*c*x+a*c)^2/(e*x)^(5/2),x,4,-2/3*a^4*c^2/e/(e*x)^(3/2)-4*a^2*b^2*c^2*sqrt(e*x)/e^3+2/5*b^4*c^2*(e*x)^(5/2)/e^5,1],
[(e*x)^(5/2)/(b*x+a)/(-b*c*x+a*c),x,7,-2/3*e*(e*x)^(3/2)/b^2/c-a^(3/2)*e^(5/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/b^(7/2)/c+a^(3/2)*e^(5/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/b^(7/2)/c,1],
[(e*x)^(3/2)/(b*x+a)/(-b*c*x+a*c),x,7,-2*e*sqrt(e*x)/b^2/c+sqrt(a)*e^(3/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/b^(5/2)/c+sqrt(a)*e^(3/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/b^(5/2)/c,1],
[sqrt(e*x)/(b*x+a)/(-b*c*x+a*c),x,6,-sqrt(e)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/sqrt(a)/b^(3/2)/c+sqrt(e)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/sqrt(a)/b^(3/2)/c,1],
[1/sqrt(e*x)/(b*x+a)/(-b*c*x+a*c),x,6,arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(3/2)/sqrt(b)/c/sqrt(e)+arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(3/2)/sqrt(b)/c/sqrt(e),1],
[1/(e*x)^(3/2)/(b*x+a)/(-b*c*x+a*c),x,7,-2/a^2/c/e/sqrt(e*x)-sqrt(b)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(5/2)/c/e^(3/2)+sqrt(b)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(5/2)/c/e^(3/2),1],
[1/(e*x)^(5/2)/(b*x+a)/(-b*c*x+a*c),x,7,-2/3/a^2/c/e/(e*x)^(3/2)+b^(3/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(7/2)/c/e^(5/2)+b^(3/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(7/2)/c/e^(5/2),1],
[(e*x)^(7/2)/(b*x+a)^2/(-b*c*x+a*c)^2,x,8,5/2*e^3*sqrt(e*x)/b^4/c^2+1/2*e*(e*x)^(5/2)/b^2/c^2/(-b^2*x^2+a^2)-5/4*sqrt(a)*e^(7/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/b^(9/2)/c^2-5/4*sqrt(a)*e^(7/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/b^(9/2)/c^2,1],
[(e*x)^(5/2)/(b*x+a)^2/(-b*c*x+a*c)^2,x,7,1/2*e*(e*x)^(3/2)/b^2/c^2/(-b^2*x^2+a^2)+3/4*e^(5/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/sqrt(a)/b^(7/2)/c^2-3/4*e^(5/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/sqrt(a)/b^(7/2)/c^2,1],
[(e*x)^(3/2)/(b*x+a)^2/(-b*c*x+a*c)^2,x,7,1/2*e*sqrt(e*x)/b^2/c^2/(-b^2*x^2+a^2)-1/4*e^(3/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(3/2)/b^(5/2)/c^2-1/4*e^(3/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(3/2)/b^(5/2)/c^2,1],
[sqrt(e*x)/(b*x+a)^2/(-b*c*x+a*c)^2,x,7,1/2*(e*x)^(3/2)/a^2/c^2/e/(-b^2*x^2+a^2)-1/4*sqrt(e)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(5/2)/b^(3/2)/c^2+1/4*sqrt(e)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(5/2)/b^(3/2)/c^2,1],
[1/sqrt(e*x)/(b*x+a)^2/(-b*c*x+a*c)^2,x,7,1/2*sqrt(e*x)/a^2/c^2/e/(-b^2*x^2+a^2)+3/4*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(7/2)/sqrt(b)/c^2/sqrt(e)+3/4*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(7/2)/sqrt(b)/c^2/sqrt(e),1],
[1/(e*x)^(3/2)/(b*x+a)^2/(-b*c*x+a*c)^2,x,8,-5/2/a^4/c^2/e/sqrt(e*x)+1/2/a^2/c^2/e/sqrt(e*x)/(-b^2*x^2+a^2)-5/4*sqrt(b)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(9/2)/c^2/e^(3/2)+5/4*sqrt(b)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(9/2)/c^2/e^(3/2),1],
[1/(e*x)^(5/2)/(b*x+a)^2/(-b*c*x+a*c)^2,x,8,-7/6/a^4/c^2/e/(e*x)^(3/2)+1/2/a^2/c^2/e/(e*x)^(3/2)/(-b^2*x^2+a^2)+7/4*b^(3/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(11/2)/c^2/e^(5/2)+7/4*b^(3/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(11/2)/c^2/e^(5/2),1],
[(e*x)^(11/2)/(b*x+a)^3/(-b*c*x+a*c)^3,x,9,-45/16*e^5*sqrt(e*x)/b^6/c^3+1/4*e*(e*x)^(9/2)/b^2/c^3/(-b^2*x^2+a^2)^2-9/16*e^3*(e*x)^(5/2)/b^4/c^3/(-b^2*x^2+a^2)+45/32*sqrt(a)*e^(11/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/b^(13/2)/c^3+45/32*sqrt(a)*e^(11/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/b^(13/2)/c^3,1],
[(e*x)^(9/2)/(b*x+a)^3/(-b*c*x+a*c)^3,x,8,1/4*e*(e*x)^(7/2)/b^2/c^3/(-b^2*x^2+a^2)^2-7/16*e^3*(e*x)^(3/2)/b^4/c^3/(-b^2*x^2+a^2)-21/32*e^(9/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/sqrt(a)/b^(11/2)/c^3+21/32*e^(9/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/sqrt(a)/b^(11/2)/c^3,1],
[(e*x)^(7/2)/(b*x+a)^3/(-b*c*x+a*c)^3,x,8,1/4*e*(e*x)^(5/2)/b^2/c^3/(-b^2*x^2+a^2)^2-5/16*e^3*sqrt(e*x)/b^4/c^3/(-b^2*x^2+a^2)+5/32*e^(7/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(3/2)/b^(9/2)/c^3+5/32*e^(7/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(3/2)/b^(9/2)/c^3,1],
[(e*x)^(5/2)/(b*x+a)^3/(-b*c*x+a*c)^3,x,8,1/4*e*(e*x)^(3/2)/b^2/c^3/(-b^2*x^2+a^2)^2-3/16*e*(e*x)^(3/2)/a^2/b^2/c^3/(-b^2*x^2+a^2)+3/32*e^(5/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(5/2)/b^(7/2)/c^3-3/32*e^(5/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(5/2)/b^(7/2)/c^3,1],
[(e*x)^(3/2)/(b*x+a)^3/(-b*c*x+a*c)^3,x,8,1/4*e*sqrt(e*x)/b^2/c^3/(-b^2*x^2+a^2)^2-1/16*e*sqrt(e*x)/a^2/b^2/c^3/(-b^2*x^2+a^2)-3/32*e^(3/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(7/2)/b^(5/2)/c^3-3/32*e^(3/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(7/2)/b^(5/2)/c^3,1],
[sqrt(e*x)/(b*x+a)^3/(-b*c*x+a*c)^3,x,8,1/4*(e*x)^(3/2)/a^2/c^3/e/(-b^2*x^2+a^2)^2+5/16*(e*x)^(3/2)/a^4/c^3/e/(-b^2*x^2+a^2)-5/32*sqrt(e)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(9/2)/b^(3/2)/c^3+5/32*sqrt(e)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(9/2)/b^(3/2)/c^3,1],
[1/sqrt(e*x)/(b*x+a)^3/(-b*c*x+a*c)^3,x,8,1/4*sqrt(e*x)/a^2/c^3/e/(-b^2*x^2+a^2)^2+7/16*sqrt(e*x)/a^4/c^3/e/(-b^2*x^2+a^2)+21/32*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(11/2)/sqrt(b)/c^3/sqrt(e)+21/32*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(11/2)/sqrt(b)/c^3/sqrt(e),1],
[1/(e*x)^(3/2)/(b*x+a)^3/(-b*c*x+a*c)^3,x,9,-45/16/a^6/c^3/e/sqrt(e*x)+1/4/a^2/c^3/e/sqrt(e*x)/(-b^2*x^2+a^2)^2+9/16/a^4/c^3/e/sqrt(e*x)/(-b^2*x^2+a^2)-45/32*sqrt(b)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(13/2)/c^3/e^(3/2)+45/32*sqrt(b)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(13/2)/c^3/e^(3/2),1],
[1/(e*x)^(5/2)/(b*x+a)^3/(-b*c*x+a*c)^3,x,9,-77/48/a^6/c^3/e/(e*x)^(3/2)+1/4/a^2/c^3/e/(e*x)^(3/2)/(-b^2*x^2+a^2)^2+11/16/a^4/c^3/e/(e*x)^(3/2)/(-b^2*x^2+a^2)+77/32*b^(3/2)*arctan(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(15/2)/c^3/e^(5/2)+77/32*b^(3/2)*arctanh(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e))/a^(15/2)/c^3/e^(5/2),1],
[x^2*sqrt(-b*x+a)*sqrt(b*x+a),x,4,-1/8*a^2*x*sqrt(-b*x+a)*sqrt(b*x+a)/b^2+1/4*x^3*sqrt(-b*x+a)*sqrt(b*x+a)+1/4*a^4*arctan(sqrt(b*x+a)/sqrt(-b*x+a))/b^3,1],
[x^7*sqrt(b*x+a)*sqrt(-b*c*x+a*c),x,4,-16/315*a^6*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^8/c-8/105*a^4*x^2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^6/c-2/21*a^2*x^4*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^4/c-1/9*x^6*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^2/c,1],
[x^5*sqrt(b*x+a)*sqrt(-b*c*x+a*c),x,3,-8/105*a^4*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^6/c-4/35*a^2*x^2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^4/c-1/7*x^4*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^2/c,1],
[x^3*sqrt(b*x+a)*sqrt(-b*c*x+a*c),x,2,-2/15*a^2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^4/c-1/5*x^2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^2/c,1],
[x*sqrt(b*x+a)*sqrt(-b*c*x+a*c),x,1,-1/3*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/b^2/c,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x,x,3,sqrt(b*x+a)*sqrt(-b*c*x+a*c)-a*sqrt(c)*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c)),1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^3,x,3,-1/2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^2+1/2*b^2*sqrt(c)*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^5,x,4,-1/4*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^4+1/8*b^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/x^2+1/8*b^4*sqrt(c)*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a^3,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^7,x,5,-1/6*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^6+1/24*b^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/x^4+1/16*b^4*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^4/x^2+1/16*b^6*sqrt(c)*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a^5,1],
[x^4*sqrt(b*x+a)*sqrt(-b*c*x+a*c),x,5,-1/16*a^4*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4-1/24*a^2*x^3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2+1/6*x^5*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+1/8*a^6*sqrt(c)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^5,1],
[x^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c),x,4,-1/8*a^2*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2+1/4*x^3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+1/4*a^4*sqrt(c)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^3,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c),x,3,1/2*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+a^2*sqrt(c)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^2,x,3,-sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x-2*b*sqrt(c)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c)),1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^4,x,1,-1/3*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/a^2/c/x^3,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^6,x,2,-1/5*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/a^2/c/x^5-2/15*b^2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/a^4/c/x^3,1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^8,x,3,-1/7*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/a^2/c/x^7-4/35*b^2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/a^4/c/x^5-8/105*b^4*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/a^6/c/x^3,1],
[x^7*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x,4,-16/1155*a^6*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/b^8/c-8/231*a^4*x^2*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/b^6/c-2/33*a^2*x^4*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/b^4/c-1/11*x^6*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/b^2/c,1],
[x^5*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x,3,-8/315*a^4*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/b^6/c-4/63*a^2*x^2*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/b^4/c-1/9*x^4*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/b^2/c,1],
[x^3*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x,2,-2/35*a^2*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/b^4/c-1/7*x^2*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/b^2/c,1],
[x*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x,1,-1/5*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/b^2/c,1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x,x,4,a^2*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+1/3*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)-a^3*c^(3/2)*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c)),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^3,x,4,-3/2*b^2*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)-1/2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^2+3/2*a*b^2*c^(3/2)*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c)),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^5,x,4,3/8*b^2*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^2-1/4*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^4-3/8*b^4*c^(3/2)*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a,1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^7,x,5,1/8*b^2*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^4-1/16*b^4*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/x^2-1/6*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^6-1/16*b^6*c^(3/2)*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a^3,1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^9,x,6,1/16*b^2*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^6-1/64*b^4*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/x^4-3/128*b^6*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^4/x^2-1/8*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^8-3/128*b^8*c^(3/2)*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a^5,1],
[x^4*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x,6,-3/128*a^6*c*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4-1/64*a^4*c*x^3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2+1/16*a^2*c*x^5*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+1/8*x^5*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)+3/64*a^8*c^(3/2)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^5,1],
[x^2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x,5,-1/16*a^4*c*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2+1/8*a^2*c*x^3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+1/6*x^3*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)+1/8*a^6*c^(3/2)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^3,1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x,4,3/8*a^2*c*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+1/4*x*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)+3/4*a^4*c^(3/2)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b,1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^2,x,4,-3/2*b^2*c*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)-(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x-3*a^2*b*c^(3/2)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c)),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^4,x,4,b^2*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x-1/3*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^3+2*b^3*c^(3/2)*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c)),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^6,x,1,-1/5*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/a^2/c/x^5,1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^8,x,2,-1/7*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/a^2/c/x^7-2/35*b^2*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/a^4/c/x^5,1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^10,x,3,-1/9*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/a^2/c/x^9-4/63*b^2*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/a^4/c/x^7-8/315*b^4*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/a^6/c/x^5,1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^12,x,4,-1/11*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/a^2/c/x^11-2/33*b^2*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/a^4/c/x^9-8/231*b^4*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/a^6/c/x^7-16/1155*b^6*(b*x+a)^(5/2)*(-b*c*x+a*c)^(5/2)/a^8/c/x^5,1],
[sqrt(1-x)*x*sqrt(1+x),x,2,-1/3*(-x^2+1)^(3/2),1],
[x^5/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,3,-8/15*a^4*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^6/c-4/15*a^2*x^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4/c-1/5*x^4*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2/c,1],
[x^3/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,2,-2/3*a^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4/c-1/3*x^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2/c,1],
[x/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,1,-sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2/c,1],
[1/x/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,2,-arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a/sqrt(c),1],
[1/x^3/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,3,-1/2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/c/x^2-1/2*b^2*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a^3/sqrt(c),1],
[x^4/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,4,-3/8*a^2*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4/c-1/4*x^3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2/c+3/4*a^4*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^5/sqrt(c),1],
[x^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,3,-1/2*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2/c+a^2*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^3/sqrt(c),1],
[1/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,2,2*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b/sqrt(c),1],
[1/x^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,1,-sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/c/x,1],
[1/x^4/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,2,-1/3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/c/x^3-2/3*b^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^4/c/x,1],
[1/x^6/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,3,-1/5*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/c/x^5-4/15*b^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^4/c/x^3-8/15*b^4*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^6/c/x,1],
[x^5/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,3,8/3*a^4/b^6/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-4/3*a^2*x^2/b^4/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-1/3*x^4/b^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^3/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,2,2*a^2/b^4/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-x^2/b^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,1,1/b^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,3,1/a^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a^3/c^(3/2),1],
[1/x^3/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,4,1/a^2/c/x^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-3/2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^4/c^2/x^2-3/2*b^2*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a^5/c^(3/2),1],
[x^4/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,4,x^3/b^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+3/2*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4/c^2-3*a^2*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^5/c^(3/2),1],
[x^2/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,3,x/b^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-2*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^3/c^(3/2),1],
[1/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,1,x/a^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^2/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,2,-1/a^2/c/x/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+2*b^2*x/a^4/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^4/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,3,-1/3/a^2/c/x^3/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-4/3*b^2/a^4/c/x/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+8/3*b^4*x/a^6/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^5/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,3,-8/3*a^4/b^6/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+4*a^2*x^2/b^4/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-x^4/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),1],
[x^3/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,2,-2/3*a^2/b^4/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+x^2/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),1],
[x/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,1,1/3/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),1],
[1/x/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,4,1/3/a^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+1/a^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a^5/c^(5/2),1],
[1/x^3/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,5,1/3/a^2/c/x^2/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+5/3/a^4/c^2/x^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-5/2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^6/c^3/x^2-5/2*b^2*arctanh(sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a/sqrt(c))/a^7/c^(5/2),1],
[x^6/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,5,1/3*x^5/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-5/3*x^3/b^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-5/2*x*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^6/c^3+5*a^2*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^7/c^(5/2),1],
[x^4/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,4,1/3*x^3/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-x/b^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+2*arctan(sqrt(c)*sqrt(b*x+a)/sqrt(-b*c*x+a*c))/b^5/c^(5/2),1],
[x^2/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,1,1/3*x^3/a^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),1],
[1/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,2,1/3*x/a^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+2/3*x/a^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^2/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,3,-1/a^2/c/x/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+4/3*b^2*x/a^4/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+8/3*b^2*x/a^6/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^4/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,4,-1/3/a^2/c/x^3/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-2*b^2/a^4/c/x/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+8/3*b^4*x/a^6/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+16/3*b^4*x/a^8/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(3/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c),x,5,-4/21*a^2*sqrt(x)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2+2/7*x^(5/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+4/21*a^(9/2)*c*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(5/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/sqrt(x),x,4,2/3*sqrt(x)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+4/3*a^(5/2)*c*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(b)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^(5/2),x,4,-2/3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^(3/2)-4/3*sqrt(a)*b^(3/2)*c*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^(9/2),x,5,-2/7*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^(7/2)+4/21*b^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/x^(3/2)-4/21*b^(7/2)*c*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[sqrt(x)*sqrt(b*x+a)*sqrt(-b*c*x+a*c),x,7,2/5*x^(3/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+4/5*a^(7/2)*c*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/b^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-4/5*a^(7/2)*c*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^(3/2),x,7,-2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/sqrt(x)-4*a^(3/2)*sqrt(b)*c*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+4*a^(3/2)*sqrt(b)*c*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^(7/2),x,8,-2/5*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^(5/2)+4/5*b^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/sqrt(x)+4/5*b^(5/2)*c*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/sqrt(a)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-4/5*b^(5/2)*c*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(a)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(3/2)*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x,6,-8/77*a^4*c*sqrt(x)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2+12/77*a^2*c*x^(5/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+2/11*x^(5/2)*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)+8/77*a^(13/2)*c^2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(5/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/sqrt(x),x,5,4/7*a^2*c*sqrt(x)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+2/7*sqrt(x)*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)+8/7*a^(9/2)*c^2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(b)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(5/2),x,5,-4/3*b^2*c*sqrt(x)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)-2/3*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(3/2)-8/3*a^(5/2)*b^(3/2)*c^2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(9/2),x,5,4/7*b^2*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^(3/2)-2/7*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(7/2)+8/7*sqrt(a)*b^(7/2)*c^2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(13/2),x,6,12/77*b^2*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^(7/2)-8/77*b^4*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/x^(3/2)-2/11*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(11/2)+8/77*b^(11/2)*c^2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[sqrt(x)*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2),x,8,4/15*a^2*c*x^(3/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)+2/9*x^(3/2)*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)+8/15*a^(11/2)*c^2*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/b^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-8/15*a^(11/2)*c^2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(3/2),x,8,-12/5*b^2*c*x^(3/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)-2*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/sqrt(x)-24/5*a^(7/2)*sqrt(b)*c^2*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+24/5*a^(7/2)*sqrt(b)*c^2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(7/2),x,8,12/5*b^2*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/sqrt(x)-2/5*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(5/2)+24/5*a^(3/2)*b^(5/2)*c^2*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-24/5*a^(3/2)*b^(5/2)*c^2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(11/2),x,9,4/15*b^2*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/x^(5/2)-8/15*b^4*c*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/sqrt(x)-2/9*(b*x+a)^(3/2)*(-b*c*x+a*c)^(3/2)/x^(9/2)-8/15*b^(9/2)*c^2*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/sqrt(a)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+8/15*b^(9/2)*c^2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(a)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/sqrt(x)/sqrt(-b*x+a)/sqrt(b*x+a),x,3,2*sqrt(a)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(b)/sqrt(-b*x+a)/sqrt(b*x+a),1],
[1/sqrt(-x)/sqrt(-b*x+a)/sqrt(b*x+a),x,3,-2*sqrt(a)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(-x)/sqrt(a)),sqrt(-1))/sqrt(b)/sqrt(-b*x+a)/sqrt(b*x+a),1],
[1/sqrt(e*x)/sqrt(-b*x+a)/sqrt(b*x+a),x,3,2*sqrt(a)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(e*x)/sqrt(a)/sqrt(e)),sqrt(-1))/sqrt(b)/sqrt(e)/sqrt(-b*x+a)/sqrt(b*x+a),1],
[1/sqrt(x)/sqrt(-b*x+2)/sqrt(b*x+2),x,3,sqrt(2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(2)),sqrt(-1))/sqrt(b),1],
[1/sqrt(-x)/sqrt(-b*x+2)/sqrt(b*x+2),x,4,-sqrt(2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(-x)/sqrt(2)),sqrt(-1))/sqrt(b),1],
[1/sqrt(e*x)/sqrt(-b*x+2)/sqrt(b*x+2),x,4,sqrt(2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(e*x)/sqrt(2)/sqrt(e)),sqrt(-1))/sqrt(b)/sqrt(e),1],
[1/sqrt(2-3*x)/sqrt(x)/sqrt(2+3*x),x,3,sqrt(2/3)*InverseJacobiAM(arcsin(sqrt(3/2)*sqrt(x)),sqrt(-1)),1],
[1/sqrt(2-3*x)/sqrt(-x)/sqrt(2+3*x),x,4,-sqrt(2/3)*InverseJacobiAM(arcsin(sqrt(3/2)*sqrt(-x)),sqrt(-1)),1],
[1/sqrt(2-3*x)/sqrt(e*x)/sqrt(2+3*x),x,4,sqrt(2/3)*InverseJacobiAM(arcsin(sqrt(3/2)*sqrt(e*x)/sqrt(e)),sqrt(-1))/sqrt(e),1],
[x^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,4,-2/3*sqrt(x)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2/c+2/3*a^(5/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(5/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/sqrt(x)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,3,2*sqrt(a)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(b)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^(5/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,4,-2/3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/c/x^(3/2)+2/3*b^(3/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(5/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,7,-2/5*x^(3/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^2/c+6/5*a^(7/2)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/b^(7/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-6/5*a^(7/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(7/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[sqrt(x)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,6,2*a^(3/2)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/b^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-2*a^(3/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),x,7,-2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^2/c/sqrt(x)-2*sqrt(b)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/sqrt(a)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+2*sqrt(b)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(a)/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(7/2)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,5,x^(5/2)/b^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+5/3*sqrt(x)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4/c^2-5/3*a^(5/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(9/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(3/2)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,4,sqrt(x)/b^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-sqrt(a)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(5/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/sqrt(x)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,4,sqrt(x)/a^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(3/2)/sqrt(b)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^(5/2)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,5,1/a^2/c/x^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-5/3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^4/c^2/x^(3/2)+5/3*b^(3/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(7/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(9/2)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,8,x^(7/2)/b^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+7/5*x^(3/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^4/c^2-21/5*a^(7/2)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/b^(11/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+21/5*a^(7/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(11/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(5/2)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,7,x^(3/2)/b^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-3*a^(3/2)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/b^(7/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+3*a^(3/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(7/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[sqrt(x)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,7,x^(3/2)/a^2/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/sqrt(a)/b^(3/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(a)/b^(3/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^(3/2)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2),x,8,1/a^2/c/sqrt(x)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-3*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^4/c^2/sqrt(x)-3*sqrt(b)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/a^(5/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+3*sqrt(b)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(5/2)/c/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(15/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,7,1/3*x^(13/2)/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-13/6*x^(9/2)/b^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-65/14*a^2*sqrt(x)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^8/c^3-39/14*x^(5/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^6/c^3+65/14*a^(9/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(17/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(11/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,6,1/3*x^(9/2)/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-3/2*x^(5/2)/b^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-5/2*sqrt(x)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^6/c^3+5/2*a^(5/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(13/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(7/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,5,1/3*x^(5/2)/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-5/6*sqrt(x)/b^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+5/6*sqrt(a)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(9/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(3/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,5,1/3*sqrt(x)/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-1/6*sqrt(x)/a^2/b^2/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-1/6*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(3/2)/b^(5/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/sqrt(x)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,5,1/3*sqrt(x)/a^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+5/6*sqrt(x)/a^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+5/6*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(7/2)/sqrt(b)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^(5/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,6,1/3/a^2/c/x^(3/2)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+3/2/a^4/c^2/x^(3/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-5/2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^6/c^3/x^(3/2)+5/2*b^(3/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(11/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^(9/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,7,1/3/a^2/c/x^(7/2)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+13/6/a^4/c^2/x^(7/2)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-39/14*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^6/c^3/x^(7/2)-65/14*b^2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^8/c^3/x^(3/2)+65/14*b^(7/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(15/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(21/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,11,1/3*x^(19/2)/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-19/6*x^(15/2)/b^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-1463/234*a^4*x^(3/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^10/c^3-1045/234*a^2*x^(7/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^8/c^3-95/26*x^(11/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^6/c^3+1463/78*a^(15/2)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/b^(23/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-1463/78*a^(15/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(23/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(17/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,10,1/3*x^(15/2)/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-5/2*x^(11/2)/b^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-77/18*a^2*x^(3/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^8/c^3-55/18*x^(7/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^6/c^3+77/6*a^(11/2)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/b^(19/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-77/6*a^(11/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(19/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(13/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,9,1/3*x^(11/2)/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-11/6*x^(7/2)/b^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-77/30*x^(3/2)*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/b^6/c^3+77/10*a^(7/2)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/b^(15/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-77/10*a^(7/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(15/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(9/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,8,1/3*x^(7/2)/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-7/6*x^(3/2)/b^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+7/2*a^(3/2)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/b^(11/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-7/2*a^(3/2)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/b^(11/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[x^(5/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,8,1/3*x^(3/2)/b^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)-1/2*x^(3/2)/a^2/b^2/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+1/2*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/sqrt(a)/b^(7/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-1/2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/sqrt(a)/b^(7/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[sqrt(x)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,8,1/3*x^(3/2)/a^2/c/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+1/2*x^(3/2)/a^4/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-1/2*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/a^(5/2)/b^(3/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+1/2*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(5/2)/b^(3/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/x^(3/2)/(b*x+a)^(5/2)/(-b*c*x+a*c)^(5/2),x,9,1/3/a^2/c/sqrt(x)/(b*x+a)^(3/2)/(-b*c*x+a*c)^(3/2)+7/6/a^4/c^2/sqrt(x)/sqrt(b*x+a)/sqrt(-b*c*x+a*c)-7/2*sqrt(b*x+a)*sqrt(-b*c*x+a*c)/a^6/c^3/sqrt(x)-7/2*sqrt(b)*sqrt(1-b^2*x^2/a^2)*EllipticE(sin(arcsin(sqrt(b)*sqrt(x)/sqrt(a))),sqrt(-1))/a^(9/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c)+7/2*sqrt(b)*sqrt(1-b^2*x^2/a^2)*InverseJacobiAM(arcsin(sqrt(b)*sqrt(x)/sqrt(a)),sqrt(-1))/a^(9/2)/c^2/sqrt(b*x+a)/sqrt(-b*c*x+a*c),1],
[1/sqrt(1-x)/sqrt(x)/sqrt(1+x),x,3,2*InverseJacobiAM(arcsin(sqrt(x)),sqrt(-1)),1],
[1/sqrt(-1-x)/sqrt(-1+x)/sqrt(x),x,3,2*sqrt(-x^2+1)*InverseJacobiAM(arcsin(sqrt(x)),sqrt(-1))/sqrt(-1-x)/sqrt(-1+x),1],
[1/sqrt(-1+x)/sqrt(x)/sqrt(1+x),x,2,sqrt(2)*InverseJacobiAM(arcsin(sqrt(2)*sqrt(x)/sqrt(-1+x)),sqrt(1/2)),1],
[1/sqrt(-1-x)/sqrt(1-x)/sqrt(x),x,3,2*sqrt(1+x)*InverseJacobiAM(arcsin(sqrt(x)),sqrt(-1))/sqrt(-1-x),1],
[1/sqrt(1-x)/sqrt(a*x)/sqrt(1+x),x,4,2*InverseJacobiAM(arcsin(sqrt(a*x)/sqrt(a)),sqrt(-1))/sqrt(a),1],
[1/sqrt(-1-x)/sqrt(-1+x)/sqrt(a*x),x,3,2*sqrt(-x^2+1)*InverseJacobiAM(arcsin(sqrt(a*x)/sqrt(a)),sqrt(-1))/sqrt(a)/sqrt(-1-x)/sqrt(-1+x),1],
[1/sqrt(-1+x)/sqrt(a*x)/sqrt(1+x),x,2,sqrt(2)*InverseJacobiAM(arcsin(sqrt(2)*sqrt(a*x)/sqrt(a)/sqrt(-1+x)),sqrt(1/2))/sqrt(a),1],
[1/sqrt(-1-x)/sqrt(1-x)/sqrt(a*x),x,3,2*sqrt(1+x)*InverseJacobiAM(arcsin(sqrt(a*x)/sqrt(a)),sqrt(-1))/sqrt(a)/sqrt(-1-x),1],
[sqrt(x)/sqrt(1-x)/sqrt(1+x),x,2,-2*EllipticE(sin(arcsin(sqrt(1-x)/sqrt(2))),sqrt(2)),1],
[sqrt(x)/sqrt(-1-x)/sqrt(-1+x),x,5,2*sqrt(-x^2+1)*EllipticE(sin(arcsin(sqrt(x))),sqrt(-1))/sqrt(-1-x)/sqrt(-1+x)-2*sqrt(-x^2+1)*InverseJacobiAM(arcsin(sqrt(x)),sqrt(-1))/sqrt(-1-x)/sqrt(-1+x),1],
[sqrt(x)/sqrt(-1+x)/sqrt(1+x),x,5,2*sqrt(1-x)*EllipticE(sin(arcsin(sqrt(x))),sqrt(-1))/sqrt(-1+x)-2*sqrt(1-x)*InverseJacobiAM(arcsin(sqrt(x)),sqrt(-1))/sqrt(-1+x),1],
[sqrt(x)/sqrt(-1-x)/sqrt(1-x),x,5,2*sqrt(1+x)*EllipticE(sin(arcsin(sqrt(x))),sqrt(-1))/sqrt(-1-x)-2*sqrt(1+x)*InverseJacobiAM(arcsin(sqrt(x)),sqrt(-1))/sqrt(-1-x),1],
[sqrt(a*x)/sqrt(1-x)/sqrt(1+x),x,6,2*sqrt(a)*EllipticE(sin(arcsin(sqrt(a*x)/sqrt(a))),sqrt(-1))-2*sqrt(a)*InverseJacobiAM(arcsin(sqrt(a*x)/sqrt(a)),sqrt(-1)),1],
[sqrt(a*x)/sqrt(-1-x)/sqrt(-1+x),x,5,2*sqrt(a)*sqrt(-x^2+1)*EllipticE(sin(arcsin(sqrt(a*x)/sqrt(a))),sqrt(-1))/sqrt(-1-x)/sqrt(-1+x)-2*sqrt(a)*sqrt(-x^2+1)*InverseJacobiAM(arcsin(sqrt(a*x)/sqrt(a)),sqrt(-1))/sqrt(-1-x)/sqrt(-1+x),1],
[sqrt(a*x)/sqrt(-1+x)/sqrt(1+x),x,5,2*sqrt(a)*sqrt(1-x)*EllipticE(sin(arcsin(sqrt(a*x)/sqrt(a))),sqrt(-1))/sqrt(-1+x)-2*sqrt(a)*sqrt(1-x)*InverseJacobiAM(arcsin(sqrt(a*x)/sqrt(a)),sqrt(-1))/sqrt(-1+x),1],
[sqrt(a*x)/sqrt(-1-x)/sqrt(1-x),x,5,2*sqrt(a)*sqrt(1+x)*EllipticE(sin(arcsin(sqrt(a*x)/sqrt(a))),sqrt(-1))/sqrt(-1-x)-2*sqrt(a)*sqrt(1+x)*InverseJacobiAM(arcsin(sqrt(a*x)/sqrt(a)),sqrt(-1))/sqrt(-1-x),1],
[1/sqrt(b*x)/sqrt(-c*x+1)/sqrt(c*x+1),x,4,2*InverseJacobiAM(arcsin(sqrt(c)*sqrt(b*x)/sqrt(b)),sqrt(-1))/sqrt(b)/sqrt(c),1],
[1/sqrt(b*x)/sqrt(-c*x+1)/sqrt(d*x+1),x,2,2*InverseJacobiAM(arcsin(sqrt(c)*sqrt(b*x)/sqrt(b)),sqrt(-d/c))/sqrt(b)/sqrt(c),1],
[x^m*(-a*x+1)^n*(a*x+1)^n,x,2,x^(1+m)*hypergeom([1/2+1/2*m, -n],[3/2+1/2*m],a^2*x^2)/(1+m),1],
[x^m*(-a*x+1)^n*(2*a*x+2)^n,x,2,2^n*x^(1+m)*hypergeom([1/2+1/2*m, -n],[3/2+1/2*m],a^2*x^2)/(1+m),1],
[x^m*(-a*x+2)^n*(a*x+2)^n,x,2,4^n*x^(1+m)*hypergeom([1/2+1/2*m, -n],[3/2+1/2*m],1/4*a^2*x^2)/(1+m),1],
[x^m*(1-1/2*a*x)^n*(a*x+2)^n,x,2,2^n*x^(1+m)*hypergeom([1/2+1/2*m, -n],[3/2+1/2*m],1/4*a^2*x^2)/(1+m),1],
[(b*x)^(-2-2*m)*(-a*x+1)^m*(a*x+1)^m,x,3,-(b*x)^(-1-2*m)*hypergeom([-1/2-m, -m],[1/2-m],a^2*x^2)/b/(1+2*m),1],
[x^2/(-a*x+1)^7/(a*x+1)^4,x,1,-1/24*(-3*a*x+1)/a^3/(-a*x+1)^6/(a*x+1)^3,1],
[x^2/(-a*x+1)^11/(a*x+1)^7,x,1,-1/60*(-4*a*x+1)/a^3/(-a*x+1)^10/(a*x+1)^6,1],
[x^2/(-a*x+1)^16/(a*x+1)^11,x,1,-1/120*(-5*a*x+1)/a^3/(-a*x+1)^15/(a*x+1)^10,1],
[(b*x+a)^(3/2)*(-b*c*x+a*c)^3/(e*x)^(13/2),x,4,-2/11*a^2*c^3*(b*x+a)^(5/2)/e/(e*x)^(11/2)+26/33*a*b*c^3*(b*x+a)^(5/2)/e^2/(e*x)^(9/2)-302/231*b^2*c^3*(b*x+a)^(5/2)/e^3/(e*x)^(7/2)+1066/1155*b^3*c^3*(b*x+a)^(5/2)/a/e^4/(e*x)^(5/2),1],
[x^4/(-b*x+a)^(3/2)/(b*x+a)^(9/2),x,4,-1/7*x^4/a/b/sqrt(-b*x+a)/(b*x+a)^(7/2)-4/35*x^3/a/b^2/sqrt(-b*x+a)/(b*x+a)^(5/2)-4/35*x^2/a/b^3/sqrt(-b*x+a)/(b*x+a)^(3/2)+8/35/b^5/sqrt(-b*x+a)/sqrt(b*x+a),1],
[x^3/(-b*x+a)^(3/2)/(b*x+a)^(7/2),x,3,-1/5*x^3/a/b/sqrt(-b*x+a)/(b*x+a)^(5/2)-1/5*x^2/a/b^2/sqrt(-b*x+a)/(b*x+a)^(3/2)+2/5/b^4/sqrt(-b*x+a)/sqrt(b*x+a),1],
[x^2/(-b*x+a)^(3/2)/(b*x+a)^(5/2),x,2,-1/3*x^2/a/b/sqrt(-b*x+a)/(b*x+a)^(3/2)+2/3/b^3/sqrt(-b*x+a)/sqrt(b*x+a),1],
[x/(-b*x+a)^(3/2)/(b*x+a)^(3/2),x,1,1/b^2/sqrt(-b*x+a)/sqrt(b*x+a),1],
[1/(-b*x+a)^(3/2)/sqrt(b*x+a),x,1,sqrt(b*x+a)/a/b/sqrt(-b*x+a),1],
[sqrt(b*x+a)/x/(-b*x+a)^(3/2),x,3,2*sqrt(b*x+a)/a/sqrt(-b*x+a)-arctanh(sqrt(-b*x+a)*sqrt(b*x+a)/a)/a,1],
[(b*x+a)^(3/2)/x^2/(-b*x+a)^(3/2),x,4,6*b*sqrt(b*x+a)/a/sqrt(-b*x+a)-(b*x+a)^(3/2)/a/x/sqrt(-b*x+a)-3*b*arctanh(sqrt(-b*x+a)*sqrt(b*x+a)/a)/a,1],
[(b*x+a)^(5/2)/x^3/(-b*x+a)^(3/2),x,5,15*b^2*sqrt(b*x+a)/a/sqrt(-b*x+a)-5/2*b*(b*x+a)^(3/2)/a/x/sqrt(-b*x+a)-1/2*(b*x+a)^(5/2)/a/x^2/sqrt(-b*x+a)-15/2*b^2*arctanh(sqrt(-b*x+a)*sqrt(b*x+a)/a)/a,1],
[x^3*sqrt(1+x)/(1-x)^(5/2),x,6,-6*sqrt(1+x)/sqrt(1-x)+1/3*(1+x)^(3/2)/(1-x)^(3/2)-3*sqrt(-x^2+1)-1/2*x*sqrt(-x^2+1)+11/2*arcsin(x),1],
[x^2*sqrt(1+x)/(1-x)^(5/2),x,6,-3*sqrt(1-x)*sqrt(1+x)+1/3*(1+x)^(3/2)/(1-x)^(3/2)-2*(1+x)^(3/2)/sqrt(1-x)+3*arcsin(x),1],
[x*sqrt(1+x)/(1-x)^(5/2),x,4,-2*sqrt(1+x)/sqrt(1-x)+1/3*(1+x)^(3/2)/(1-x)^(3/2)+arcsin(x),1],
[sqrt(1+x)/(1-x)^(5/2),x,1,1/3*(1+x)^(3/2)/(1-x)^(3/2),1],
[sqrt(1+x)/(1-x)^(5/2)/x,x,6,2/3*sqrt(1+x)/(1-x)^(3/2)+5/3*sqrt(1+x)/sqrt(1-x)-arctanh(sqrt(-x^2+1)),1],
[sqrt(1+x)/(1-x)^(5/2)/x^2,x,7,5/3*sqrt(1+x)/(1-x)^(3/2)+14/3*sqrt(1+x)/sqrt(1-x)-sqrt(1+x)/(1-x)^(3/2)/x-3*arctanh(sqrt(-x^2+1)),1],
[sqrt(1+x)/(1-x)^(5/2)/x^3,x,8,19/6*sqrt(1+x)/(1-x)^(3/2)+26/3*sqrt(1+x)/sqrt(1-x)-1/2*sqrt(1+x)/(1-x)^(3/2)/x^2-2*sqrt(1+x)/(1-x)^(3/2)/x-11/2*arctanh(sqrt(-x^2+1)),1],
[x^3*(1+x)^(3/2)/sqrt(1-x),x,8,-3/4*sqrt(1-x)*sqrt(1+x)-1/4*sqrt(1-x)*(1+x)^(3/2)-1/2*sqrt(1-x)*(1+x)^(5/2)+1/2*(1-x)^(3/2)*(1+x)^(5/2)-1/5*(1-x)^(5/2)*(1+x)^(5/2)+3/4*arcsin(x),1],
[x^2*(1+x)^(3/2)/sqrt(1-x),x,6,-7/8*sqrt(1-x)*sqrt(1+x)-7/24*sqrt(1-x)*(1+x)^(3/2)-5/12*sqrt(1-x)*(1+x)^(5/2)+1/4*(1-x)^(3/2)*(1+x)^(5/2)+7/8*arcsin(x),1],
[x*(1+x)^(3/2)/sqrt(1-x),x,5,-sqrt(1-x)*sqrt(1+x)-1/3*sqrt(1-x)*(1+x)^(3/2)-1/3*sqrt(1-x)*(1+x)^(5/2)+arcsin(x),1],
[(1+x)^(3/2)/sqrt(1-x),x,4,-3/2*sqrt(1-x)*sqrt(1+x)-1/2*sqrt(1-x)*(1+x)^(3/2)+3/2*arcsin(x),1],
[(1+x)^(3/2)/sqrt(1-x)/x,x,6,-sqrt(1-x)*sqrt(1+x)+2*arcsin(x)-arctanh(sqrt(-x^2+1)),1],
[(1+x)^(3/2)/sqrt(1-x)/x^2,x,6,-sqrt(1-x)*sqrt(1+x)/x+arcsin(x)-2*arctanh(sqrt(-x^2+1)),1],
[(1+x)^(3/2)/sqrt(1-x)/x^3,x,7,-1/2*sqrt(1-x)*(1+x)^(3/2)/x^2-3/2*sqrt(-x^2+1)/x-3/2*arctanh(sqrt(-x^2+1)),1],
[(1+x)^(3/2)/sqrt(1-x)/x^4,x,8,-1/3*sqrt(1-x)*(1+x)^(3/2)/x^2-1/3*sqrt(1-x)*(1+x)^(5/2)/x^3-sqrt(-x^2+1)/x-arctanh(sqrt(-x^2+1)),1],
[(1+x)^(3/2)/sqrt(1-x)/x^5,x,7,-1/4*sqrt(1-x)*sqrt(1+x)/x^4-2/3*sqrt(-x^2+1)/x^3-7/8*sqrt(-x^2+1)/x^2-4/3*sqrt(-x^2+1)/x-7/8*arctanh(sqrt(-x^2+1)),1],
[x^2*sqrt(-d*x+c)*(d*x+c)^(3/2),x,7,1/8*c^3*x*sqrt(-d*x+c)*sqrt(d*x+c)/d^2-1/12*c^2*(-d*x+c)^(3/2)*(d*x+c)^(3/2)/d^3-1/4*c*(-d*x+c)^(3/2)*(d*x+c)^(5/2)/d^3+1/5*(-d*x+c)^(5/2)*(d*x+c)^(5/2)/d^3+1/4*c^5*arctan(sqrt(d*x+c)/sqrt(-d*x+c))/d^3,1],
[x*sqrt(-d*x+c)*(d*x+c)^(3/2),x,5,1/8*c^2*x*sqrt(-d*x+c)*sqrt(d*x+c)/d-1/12*c*(-d*x+c)^(3/2)*(d*x+c)^(3/2)/d^2-1/4*(-d*x+c)^(3/2)*(d*x+c)^(5/2)/d^2+1/4*c^4*arctan(sqrt(d*x+c)/sqrt(-d*x+c))/d^2,1],
[sqrt(-d*x+c)*(d*x+c)^(3/2),x,4,1/2*c*x*sqrt(-d*x+c)*sqrt(d*x+c)-1/3*(-d*x+c)^(3/2)*(d*x+c)^(3/2)/d+c^3*arctan(sqrt(d*x+c)/sqrt(-d*x+c))/d,1],
[sqrt(-d*x+c)*(d*x+c)^(3/2)/x,x,7,1/2*c*sqrt(-d*x+c)*sqrt(d*x+c)+1/2*sqrt(-d*x+c)*(d*x+c)^(3/2)+c^2*arctan(sqrt(d*x+c)/sqrt(-d*x+c))-c^2*arctanh(sqrt(-d*x+c)*sqrt(d*x+c)/c),1],
[sqrt(-d*x+c)*(d*x+c)^(3/2)/x^2,x,7,d*sqrt(-d*x+c)*sqrt(d*x+c)-c*sqrt(-d*x+c)*sqrt(d*x+c)/x-2*c*d*arctan(sqrt(d*x+c)/sqrt(-d*x+c))-c*d*arctanh(sqrt(-d*x+c)*sqrt(d*x+c)/c),1],
[sqrt(-d*x+c)*(d*x+c)^(3/2)/x^3,x,7,-1/2*c*sqrt(-d*x+c)*sqrt(d*x+c)/x^2-d*sqrt(-d*x+c)*sqrt(d*x+c)/x-2*d^2*arctan(sqrt(d*x+c)/sqrt(-d*x+c))+1/2*d^2*arctanh(sqrt(-d*x+c)*sqrt(d*x+c)/c),1],
[sqrt(-d*x+c)*(d*x+c)^(3/2)/x^4,x,5,-1/2*d*sqrt(-d*x+c)*sqrt(d*x+c)/x^2-1/3*(-d*x+c)^(3/2)*(d*x+c)^(3/2)/c/x^3+1/2*d^3*arctanh(sqrt(-d*x+c)*sqrt(d*x+c)/c)/c,1],
[sqrt(-d*x+c)*(d*x+c)^(3/2)/x^5,x,6,-1/4*c*sqrt(-d*x+c)*sqrt(d*x+c)/x^4+1/8*d^2*sqrt(-d*x+c)*sqrt(d*x+c)/c/x^2-1/3*d*(-d*x+c)^(3/2)*(d*x+c)^(3/2)/c^2/x^3+1/8*d^4*arctanh(sqrt(-d*x+c)*sqrt(d*x+c)/c)/c^2,1],
[sqrt(-d*x+c)*(d*x+c)^(3/2)/x^6,x,7,-1/4*d*sqrt(-d*x+c)*sqrt(d*x+c)/x^4+1/8*d^3*sqrt(-d*x+c)*sqrt(d*x+c)/c^2/x^2-1/5*(-d*x+c)^(3/2)*(d*x+c)^(3/2)/c/x^5-2/15*d^2*(-d*x+c)^(3/2)*(d*x+c)^(3/2)/c^3/x^3+1/8*d^5*arctanh(sqrt(-d*x+c)*sqrt(d*x+c)/c)/c^3,1],
[sqrt(-d*x+c)*(d*x+c)^(3/2)/x^7,x,8,-1/6*c*sqrt(-d*x+c)*sqrt(d*x+c)/x^6+1/24*d^2*sqrt(-d*x+c)*sqrt(d*x+c)/c/x^4+1/16*d^4*sqrt(-d*x+c)*sqrt(d*x+c)/c^3/x^2-1/5*d*(-d*x+c)^(3/2)*(d*x+c)^(3/2)/c^2/x^5-2/15*d^3*(-d*x+c)^(3/2)*(d*x+c)^(3/2)/c^4/x^3+1/16*d^6*arctanh(sqrt(-d*x+c)*sqrt(d*x+c)/c)/c^4,1],
[x^7/sqrt(1-x)/sqrt(1+x),x,4,-sqrt(-x^2+1)+(-x^2+1)^(3/2)-3/5*(-x^2+1)^(5/2)+1/7*(-x^2+1)^(7/2),1],
[x^5/sqrt(1-x)/sqrt(1+x),x,4,-sqrt(-x^2+1)+2/3*(-x^2+1)^(3/2)-1/5*(-x^2+1)^(5/2),1],
[x^3/sqrt(1-x)/sqrt(1+x),x,4,-sqrt(-x^2+1)+1/3*(-x^2+1)^(3/2),1],
[x/sqrt(1-x)/sqrt(1+x),x,2,-sqrt(-x^2+1),1],
[1/sqrt(1-x)/x/sqrt(1+x),x,3,-arctanh(sqrt(-x^2+1)),1],
[1/sqrt(1-x)/x^3/sqrt(1+x),x,5,-1/2*sqrt(-x^2+1)/x^2-1/2*arctanh(sqrt(-x^2+1)),1],
[1/sqrt(1-x)/x^5/sqrt(1+x),x,6,-1/4*sqrt(-x^2+1)/x^4-3/8*sqrt(-x^2+1)/x^2-3/8*arctanh(sqrt(-x^2+1)),1],
[x^6/sqrt(1-x)/sqrt(1+x),x,5,-5/16*x*sqrt(-x^2+1)-5/24*x^3*sqrt(-x^2+1)-1/6*x^5*sqrt(-x^2+1)+5/16*arcsin(x),1],
[x^4/sqrt(1-x)/sqrt(1+x),x,4,-3/8*x*sqrt(-x^2+1)-1/4*x^3*sqrt(-x^2+1)+3/8*arcsin(x),1],
[x^2/sqrt(1-x)/sqrt(1+x),x,3,-1/2*x*sqrt(-x^2+1)+1/2*arcsin(x),1],
[1/sqrt(1-x)/sqrt(1+x),x,2,arcsin(x),1],
[1/sqrt(1-x)/x^2/sqrt(1+x),x,2,-sqrt(-x^2+1)/x,1],
[1/sqrt(1-x)/x^4/sqrt(1+x),x,3,-1/3*sqrt(-x^2+1)/x^3-2/3*sqrt(-x^2+1)/x,1],
[1/sqrt(1-x)/x^6/sqrt(1+x),x,4,-1/5*sqrt(-x^2+1)/x^5-4/15*sqrt(-x^2+1)/x^3-8/15*sqrt(-x^2+1)/x,1],
[sqrt(-1+x)*x^2*sqrt(1+x),x,3,-1/8*sqrt(-1+x)*x*sqrt(1+x)+1/4*sqrt(-1+x)*x^3*sqrt(1+x)-1/8*arccosh(x),1],
[sqrt(-1+x)*x*sqrt(1+x),x,1,1/3*(-1+x)^(3/2)*(1+x)^(3/2),1],
[sqrt(-1+x)*sqrt(1+x),x,2,1/2*sqrt(-1+x)*x*sqrt(1+x)-1/2*arccosh(x),1],
[sqrt(-1+x)*sqrt(1+x)/x,x,3,sqrt(-1+x)*sqrt(1+x)-arctan(sqrt(-1+x)*sqrt(1+x)),1],
[sqrt(-1+x)*sqrt(1+x)/x^2,x,2,-sqrt(-1+x)*sqrt(1+x)/x+arccosh(x),1],
[sqrt(1+x)/(-1+x)^(5/2),x,1,-1/3*(1+x)^(3/2)/(-1+x)^(3/2),1],
[x^2/sqrt(-1+x)/sqrt(1+x),x,2,1/2*sqrt(-1+x)*x*sqrt(1+x)+1/2*arccosh(x),1],
[x/sqrt(-1+x)/sqrt(1+x),x,1,sqrt(-1+x)*sqrt(1+x),1],
[1/sqrt(-1+x)/sqrt(1+x),x,1,arccosh(x),1],
[1/sqrt(-1+x)/x/sqrt(1+x),x,2,arctan(sqrt(-1+x)*sqrt(1+x)),1],
[1/sqrt(-1+x)/x^2/sqrt(1+x),x,1,sqrt(-1+x)*sqrt(1+x)/x,1],
[1/(-1+x)^(3/2)/x/(1+x)^(3/2),x,3,-1/sqrt(-1+x)/sqrt(1+x)-arctan(sqrt(-1+x)*sqrt(1+x)),1],
[sqrt(1+x)/sqrt(1-x)/sqrt(b*x),x,2,2*EllipticE(sin(arcsin(sqrt(b*x)/sqrt(b))),sqrt(-1))/sqrt(b),1],
[sqrt(1-x)/sqrt(b*x)/sqrt(1+x),x,5,-2*EllipticE(sin(arcsin(sqrt(b*x)/sqrt(b))),sqrt(-1))/sqrt(b)+4*InverseJacobiAM(arcsin(sqrt(b*x)/sqrt(b)),sqrt(-1))/sqrt(b),1],
[sqrt(c*x+1)/sqrt(b*x)/sqrt(-c*x+1),x,2,2*EllipticE(sin(arcsin(sqrt(c)*sqrt(b*x)/sqrt(b))),sqrt(-1))/sqrt(b)/sqrt(c),1],
[sqrt(-c*x+1)/sqrt(b*x)/sqrt(c*x+1),x,5,-2*EllipticE(sin(arcsin(sqrt(c)*sqrt(b*x)/sqrt(b))),sqrt(-1))/sqrt(b)/sqrt(c)+4*InverseJacobiAM(arcsin(sqrt(c)*sqrt(b*x)/sqrt(b)),sqrt(-1))/sqrt(b)/sqrt(c),1],
[x^2*sqrt(-b*x+a)*(b*x+a)^(1/6),x,6,15/176*a^3*sqrt(-b*x+a)*(b*x+a)^(1/6)/b^3-15/88*a^2*(-b*x+a)^(3/2)*(b*x+a)^(1/6)/b^3-21/88*a*(-b*x+a)^(3/2)*(b*x+a)^(7/6)/b^3+3/11*(-b*x+a)^(5/2)*(b*x+a)^(7/6)/b^3+15/352*3^(3/4)*a^(11/3)*(b*x+a)^(1/6)*(2^(1/3)*a^(1/3)-(b*x+a)^(1/3))*sqrt((2^(2/3)*a^(2/3)+2^(1/3)*a^(1/3)*(b*x+a)^(1/3)+(b*x+a)^(2/3))/(2^(1/3)*a^(1/3)-(1+sqrt(3))*(b*x+a)^(1/3))^2)*InverseJacobiAM(arccos((2^(1/3)*a^(1/3)-(1-sqrt(3))*(b*x+a)^(1/3))/(2^(1/3)*a^(1/3)-(1+sqrt(3))*(b*x+a)^(1/3))),sqrt(1/2+1/4*sqrt(3)))*2^(2/3)/b^3/sqrt(-b*x+a)/sqrt(-(b*x+a)^(1/3)*(2^(1/3)*a^(1/3)-(b*x+a)^(1/3))/(2^(1/3)*a^(1/3)-(1+sqrt(3))*(b*x+a)^(1/3))^2),1],
[x*sqrt(-b*x+a)*(b*x+a)^(1/6),x,5,-3/80*a^2*sqrt(-b*x+a)*(b*x+a)^(1/6)/b^2+3/40*a*(-b*x+a)^(3/2)*(b*x+a)^(1/6)/b^2-3/8*(-b*x+a)^(3/2)*(b*x+a)^(7/6)/b^2-3/160*3^(3/4)*a^(8/3)*(b*x+a)^(1/6)*(2^(1/3)*a^(1/3)-(b*x+a)^(1/3))*sqrt((2^(2/3)*a^(2/3)+2^(1/3)*a^(1/3)*(b*x+a)^(1/3)+(b*x+a)^(2/3))/(2^(1/3)*a^(1/3)-(1+sqrt(3))*(b*x+a)^(1/3))^2)*InverseJacobiAM(arccos((2^(1/3)*a^(1/3)-(1-sqrt(3))*(b*x+a)^(1/3))/(2^(1/3)*a^(1/3)-(1+sqrt(3))*(b*x+a)^(1/3))),sqrt(1/2+1/4*sqrt(3)))*2^(2/3)/b^2/sqrt(-b*x+a)/sqrt(-(b*x+a)^(1/3)*(2^(1/3)*a^(1/3)-(b*x+a)^(1/3))/(2^(1/3)*a^(1/3)-(1+sqrt(3))*(b*x+a)^(1/3))^2),1],
[sqrt(-b*x+a)*(b*x+a)^(1/6),x,4,3/10*a*sqrt(-b*x+a)*(b*x+a)^(1/6)/b-3/5*(-b*x+a)^(3/2)*(b*x+a)^(1/6)/b+3/20*3^(3/4)*a^(5/3)*(b*x+a)^(1/6)*(2^(1/3)*a^(1/3)-(b*x+a)^(1/3))*sqrt((2^(2/3)*a^(2/3)+2^(1/3)*a^(1/3)*(b*x+a)^(1/3)+(b*x+a)^(2/3))/(2^(1/3)*a^(1/3)-(1+sqrt(3))*(b*x+a)^(1/3))^2)*InverseJacobiAM(arccos((2^(1/3)*a^(1/3)-(1-sqrt(3))*(b*x+a)^(1/3))/(2^(1/3)*a^(1/3)-(1+sqrt(3))*(b*x+a)^(1/3))),sqrt(1/2+1/4*sqrt(3)))*2^(2/3)/b/sqrt(-b*x+a)/sqrt(-(b*x+a)^(1/3)*(2^(1/3)*a^(1/3)-(b*x+a)^(1/3))/(2^(1/3)*a^(1/3)-(1+sqrt(3))*(b*x+a)^(1/3))^2),1],
[sqrt(-b*x+a)*(b*x+a)^(1/6)/x,x,2,-2/3*2^(1/6)*(-b*x+a)^(3/2)*(b*x+a)^(1/6)*AppellF1(3/2,1,-1/6,5/2,1-b*x/a,1/2*(-b*x+a)/a)/a/((b*x+a)/a)^(1/6),1],
[sqrt(-b*x+a)*(b*x+a)^(1/6)/x^2,x,2,-2/3*2^(1/6)*b*(-b*x+a)^(3/2)*(b*x+a)^(1/6)*AppellF1(3/2,2,-1/6,5/2,1-b*x/a,1/2*(-b*x+a)/a)/a^2/((b*x+a)/a)^(1/6),1],
[sqrt(-b*x+a)*(b*x+a)^(1/6)/x^3,x,2,-2/3*2^(1/6)*b^2*(-b*x+a)^(3/2)*(b*x+a)^(1/6)*AppellF1(3/2,3,-1/6,5/2,1-b*x/a,1/2*(-b*x+a)/a)/a^3/((b*x+a)/a)^(1/6),1],
[(e*x)^m*(-2*a*x+2)^3*(a*x+1)^4,x,2,8*(e*x)^(1+m)/e/(1+m)+8*a*(e*x)^(2+m)/e^2/(2+m)-24*a^2*(e*x)^(3+m)/e^3/(3+m)-24*a^3*(e*x)^(4+m)/e^4/(4+m)+24*a^4*(e*x)^(5+m)/e^5/(5+m)+24*a^5*(e*x)^(6+m)/e^6/(6+m)-8*a^6*(e*x)^(7+m)/e^7/(7+m)-8*a^7*(e*x)^(8+m)/e^8/(8+m),1],
[(e*x)^m*(-2*a*x+2)^2*(a*x+1)^3,x,2,4*(e*x)^(1+m)/e/(1+m)+4*a*(e*x)^(2+m)/e^2/(2+m)-8*a^2*(e*x)^(3+m)/e^3/(3+m)-8*a^3*(e*x)^(4+m)/e^4/(4+m)+4*a^4*(e*x)^(5+m)/e^5/(5+m)+4*a^5*(e*x)^(6+m)/e^6/(6+m),1],
[(e*x)^m*(-2*a*x+2)*(a*x+1)^2,x,2,2*(e*x)^(1+m)/e/(1+m)+2*a*(e*x)^(2+m)/e^2/(2+m)-2*a^2*(e*x)^(3+m)/e^3/(3+m)-2*a^3*(e*x)^(4+m)/e^4/(4+m),1],
[(e*x)^m/(-2*a*x+2)^2/(a*x+1),x,7,1/4*(e*x)^(1+m)*hypergeom([2, 1/2+1/2*m],[3/2+1/2*m],a^2*x^2)/e/(1+m)+1/4*a*(e*x)^(2+m)*hypergeom([2, 1+1/2*m],[2+1/2*m],a^2*x^2)/e^2/(2+m),1],
[(e*x)^m/(-2*a*x+2)^3/(a*x+1)^2,x,7,1/8*(e*x)^(1+m)*hypergeom([3, 1/2+1/2*m],[3/2+1/2*m],a^2*x^2)/e/(1+m)+1/8*a*(e*x)^(2+m)*hypergeom([3, 1+1/2*m],[2+1/2*m],a^2*x^2)/e^2/(2+m),1],
[(e*x)^m/(-2*a*x+2)^4/(a*x+1)^3,x,7,1/16*(e*x)^(1+m)*hypergeom([4, 1/2+1/2*m],[3/2+1/2*m],a^2*x^2)/e/(1+m)+1/16*a*(e*x)^(2+m)*hypergeom([4, 1+1/2*m],[2+1/2*m],a^2*x^2)/e^2/(2+m),1],
[(e*x)^m*(b*x+a)^4*(-b*c*x+a*c)^3,x,2,a^7*c^3*(e*x)^(1+m)/e/(1+m)+a^6*b*c^3*(e*x)^(2+m)/e^2/(2+m)-3*a^5*b^2*c^3*(e*x)^(3+m)/e^3/(3+m)-3*a^4*b^3*c^3*(e*x)^(4+m)/e^4/(4+m)+3*a^3*b^4*c^3*(e*x)^(5+m)/e^5/(5+m)+3*a^2*b^5*c^3*(e*x)^(6+m)/e^6/(6+m)-a*b^6*c^3*(e*x)^(7+m)/e^7/(7+m)-b^7*c^3*(e*x)^(8+m)/e^8/(8+m),1],
[(e*x)^m*(b*x+a)^3*(-b*c*x+a*c)^2,x,2,a^5*c^2*(e*x)^(1+m)/e/(1+m)+a^4*b*c^2*(e*x)^(2+m)/e^2/(2+m)-2*a^3*b^2*c^2*(e*x)^(3+m)/e^3/(3+m)-2*a^2*b^3*c^2*(e*x)^(4+m)/e^4/(4+m)+a*b^4*c^2*(e*x)^(5+m)/e^5/(5+m)+b^5*c^2*(e*x)^(6+m)/e^6/(6+m),1],
[(e*x)^m*(b*x+a)^2*(-b*c*x+a*c),x,2,a^3*c*(e*x)^(1+m)/e/(1+m)+a^2*b*c*(e*x)^(2+m)/e^2/(2+m)-a*b^2*c*(e*x)^(3+m)/e^3/(3+m)-b^3*c*(e*x)^(4+m)/e^4/(4+m),1],
[(e*x)^m/(b*x+a)/(-b*c*x+a*c)^2,x,7,(e*x)^(1+m)*hypergeom([2, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/a^3/c^2/e/(1+m)+b*(e*x)^(2+m)*hypergeom([2, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/a^4/c^2/e^2/(2+m),1],
[(e*x)^m/(b*x+a)^2/(-b*c*x+a*c)^3,x,7,(e*x)^(1+m)*hypergeom([3, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/a^5/c^3/e/(1+m)+b*(e*x)^(2+m)*hypergeom([3, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/a^6/c^3/e^2/(2+m),1],
[(e*x)^m/(b*x+a)^3/(-b*c*x+a*c)^4,x,7,(e*x)^(1+m)*hypergeom([4, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/a^7/c^4/e/(1+m)+b*(e*x)^(2+m)*hypergeom([4, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/a^8/c^4/e^2/(2+m),1],
[(e*x)^m*(-b*x+a)^(5/2)*(b*c*x+a*c)^(11/2),x,8,-4/7*c*(e*x)^(1+m)*(-b*x+a)^(7/2)*(b*c*x+a*c)^(9/2)/e+1/7*a^7*c^5*(11+4*m)*(e*x)^(1+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-7/2, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/e/(1+m)/sqrt(1-b^2*x^2/a^2)+1/7*a^6*b*c^5*(29+4*m)*(e*x)^(2+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-7/2, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/e^2/(2+m)/sqrt(1-b^2*x^2/a^2),1],
[(e*x)^m*(-b*x+a)^(5/2)*(b*c*x+a*c)^(9/2),x,8,-c*(e*x)^(1+m)*(-b*x+a)^(7/2)*(b*c*x+a*c)^(7/2)/e/(8+m)+a^6*c^4*(9+2*m)*(e*x)^(1+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-5/2, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/e/(1+m)/(8+m)/sqrt(1-b^2*x^2/a^2)+2*a^5*b*c^4*(e*x)^(2+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-5/2, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/e^2/(2+m)/sqrt(1-b^2*x^2/a^2),1],
[(e*x)^m*(-b*x+a)^(5/2)*(b*c*x+a*c)^(7/2),x,7,a^5*c^3*(e*x)^(1+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-5/2, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/e/(1+m)/sqrt(1-b^2*x^2/a^2)+a^4*b*c^3*(e*x)^(2+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-5/2, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/e^2/(2+m)/sqrt(1-b^2*x^2/a^2),1],
[(e*x)^m*(-b*x+a)^(5/2)*(b*c*x+a*c)^(5/2),x,3,a^4*c^2*(e*x)^(1+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-5/2, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/e/(1+m)/sqrt(1-b^2*x^2/a^2),1],
[(e*x)^m*(-b*x+a)^(5/2)*(b*c*x+a*c)^(3/2),x,7,a^3*c*(e*x)^(1+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-3/2, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/e/(1+m)/sqrt(1-b^2*x^2/a^2)-a^2*b*c*(e*x)^(2+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-3/2, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/e^2/(2+m)/sqrt(1-b^2*x^2/a^2),1],
[(e*x)^m*(-b*x+a)^(5/2)/sqrt(b*c*x+a*c),x,8,-4*(e*x)^(1+m)*(-b*x+a)^(3/2)*sqrt(b*c*x+a*c)/c/e+a*(5+4*m)*(e*x)^(1+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-1/2, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/c/e/(1+m)/sqrt(1-b^2*x^2/a^2)-b*(11+4*m)*(e*x)^(2+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)*hypergeom([-1/2, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/c/e^2/(2+m)/sqrt(1-b^2*x^2/a^2),1],
[(e*x)^m*(-b*x+a)^(5/2)/(b*c*x+a*c)^(3/2),x,9,4*(e*x)^(1+m)*(-b*x+a)^(3/2)/c/e/sqrt(b*c*x+a*c)+(9+4*m)*(e*x)^(1+m)*sqrt(-b*x+a)*sqrt(b*c*x+a*c)/c^2/e/(2+m)-a^2*(8*m^2+24*m+15)*(e*x)^(1+m)*sqrt(1-b^2*x^2/a^2)*hypergeom([1/2, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/c/e/(1+m)/(2+m)/sqrt(-b*x+a)/sqrt(b*c*x+a*c)+4*a*b*(3+2*m)*(e*x)^(2+m)*sqrt(1-b^2*x^2/a^2)*hypergeom([1/2, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/c/e^2/(2+m)/sqrt(-b*x+a)/sqrt(b*c*x+a*c),1],
[(e*x)^m*(b*x+a)*(-b*c*x+a*c)^4,x,2,a^5*c^4*(e*x)^(1+m)/e/(1+m)-3*a^4*b*c^4*(e*x)^(2+m)/e^2/(2+m)+2*a^3*b^2*c^4*(e*x)^(3+m)/e^3/(3+m)+2*a^2*b^3*c^4*(e*x)^(4+m)/e^4/(4+m)-3*a*b^4*c^4*(e*x)^(5+m)/e^5/(5+m)+b^5*c^4*(e*x)^(6+m)/e^6/(6+m),1],
[(e*x)^m*(b*x+a)*(-b*c*x+a*c)^3,x,2,a^4*c^3*(e*x)^(1+m)/e/(1+m)-2*a^3*b*c^3*(e*x)^(2+m)/e^2/(2+m)+2*a*b^3*c^3*(e*x)^(4+m)/e^4/(4+m)-b^4*c^3*(e*x)^(5+m)/e^5/(5+m),1],
[(e*x)^m*(b*x+a)*(-b*c*x+a*c)^2,x,2,a^3*c^2*(e*x)^(1+m)/e/(1+m)-a^2*b*c^2*(e*x)^(2+m)/e^2/(2+m)-a*b^2*c^2*(e*x)^(3+m)/e^3/(3+m)+b^3*c^2*(e*x)^(4+m)/e^4/(4+m),1],
[(e*x)^m*(b*x+a)*(-b*c*x+a*c),x,4,a^2*c*(e*x)^(1+m)/e/(1+m)-b^2*c*(e*x)^(3+m)/e^3/(3+m),1],
[(e*x)^m*(b*x+a)/(-b*c*x+a*c),x,2,-(e*x)^(1+m)/c/e/(1+m)+2*(e*x)^(1+m)*hypergeom([1, 1+m],[2+m],b*x/a)/c/e/(1+m),1],
[(e*x)^m*(b*x+a)/(-b*c*x+a*c)^2,x,2,-(e*x)^(1+m)/c^2/e/m/(-b*x+a)+(1+2*m)*(e*x)^(1+m)*hypergeom([2, 1+m],[2+m],b*x/a)/a/c^2/e/m/(1+m),1],
[(e*x)^m*(-b*c*x+a*c)^3/(b*x+a),x,7,-7*a^2*c^3*(e*x)^(1+m)/e/(1+m)+4*a*b*c^3*(e*x)^(2+m)/e^2/(2+m)-b^2*c^3*(e*x)^(3+m)/e^3/(3+m)+8*a^2*c^3*(e*x)^(1+m)*hypergeom([1, 1+m],[2+m],-b*x/a)/e/(1+m),1],
[(e*x)^m*(-b*c*x+a*c)^2/(b*x+a),x,5,-3*a*c^2*(e*x)^(1+m)/e/(1+m)+b*c^2*(e*x)^(2+m)/e^2/(2+m)+4*a*c^2*(e*x)^(1+m)*hypergeom([1, 1+m],[2+m],-b*x/a)/e/(1+m),1],
[(e*x)^m*(-b*c*x+a*c)/(b*x+a),x,2,-c*(e*x)^(1+m)/e/(1+m)+2*c*(e*x)^(1+m)*hypergeom([1, 1+m],[2+m],-b*x/a)/e/(1+m),1],
[(e*x)^m/(b*x+a)/(-b*c*x+a*c),x,3,(e*x)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/a^2/c/e/(1+m),1],
[(e*x)^m/(b*x+a)/(-b*c*x+a*c)^2,x,7,(e*x)^(1+m)*hypergeom([2, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/a^3/c^2/e/(1+m)+b*(e*x)^(2+m)*hypergeom([2, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/a^4/c^2/e^2/(2+m),1],
[(e*x)^m/(b*x+a)/(-b*c*x+a*c)^3,x,8,1/4*(e*x)^(1+m)/a^2/c^3/e/(-b*x+a)^2+1/4*(2-m)*(e*x)^(1+m)/a^3/c^3/e/(-b*x+a)+1/4*(1-m)^2*(e*x)^(1+m)*hypergeom([1, 1/2+1/2*m],[3/2+1/2*m],b^2*x^2/a^2)/a^4/c^3/e/(1+m)-1/4*b*(2-m)*m*(e*x)^(2+m)*hypergeom([1, 1+1/2*m],[2+1/2*m],b^2*x^2/a^2)/a^5/c^3/e^2/(2+m),1],
[(1-x)^n*x^3/((1+x)^n),x,4,-1/6*(n^2-n+3)*(1-x)^(1+n)*(1+x)^(1-n)+1/6*(3-n)*(1-x)^(2+n)*(1+x)^(1-n)-1/4*(1-x)^(3+n)*(1+x)^(1-n)-2^n*n*(n^2+2)*(1+x)^(1-n)*hypergeom([1-n, -n],[2-n],1/2+1/2*x)/(3-3*n),1],
[(1-x)^n*x^2/((1+x)^n),x,3,-1/3*(1-n)*(1-x)^(1+n)*(1+x)^(1-n)+1/3*(1-x)^(2+n)*(1+x)^(1-n)+2^n*(2*n^2+1)*(1+x)^(1-n)*hypergeom([1-n, -n],[2-n],1/2+1/2*x)/(3-3*n),1],
[(1-x)^n*x/((1+x)^n),x,2,-1/2*(1-x)^(1+n)*(1+x)^(1-n)-2^n*n*(1+x)^(1-n)*hypergeom([1-n, -n],[2-n],1/2+1/2*x)/(1-n),1],
[(1-x)^n/((1+x)^n),x,1,2^n*(1+x)^(1-n)*hypergeom([1-n, -n],[2-n],1/2+1/2*x)/(1-n),1],
[(1-x)^n/x/((1+x)^n),x,3,-(1-x)^n*hypergeom([1, n],[1+n],(1-x)/(1+x))/n/((1+x)^n)+(1-x)^n*hypergeom([n, n],[1+n],1/2-1/2*x)/(2^n)/n,1],
[(1-x)^n/x^2/((1+x)^n),x,1,-2*(1-x)^(1+n)*(1+x)^(-1-n)*hypergeom([2, 1+n],[2+n],(1-x)/(1+x))/(1+n),1],
[(1-x)^n/x^3/((1+x)^n),x,2,-1/2*(1-x)^(1+n)*(1+x)^(1-n)/x^2+2*n*(1-x)^(1+n)*(1+x)^(-1-n)*hypergeom([2, 1+n],[2+n],(1-x)/(1+x))/(1+n),1],
[(1-x)^n/x^4/((1+x)^n),x,4,-1/3*(1-x)^(1+n)*(1+x)^(1-n)/x^3+1/3*n*(1-x)^(1+n)*(1+x)^(1-n)/x^2-2*(2*n^2+1)*(1-x)^(1+n)*(1+x)^(-1-n)*hypergeom([2, 1+n],[2+n],(1-x)/(1+x))/(3+3*n),1],
[(1-x)^(-1-n)*(1+x)^n/x^2,x,2,-(1+x)^(1+n)/((1-x)^n)/x+(1+2*n)*(1+x)^n*hypergeom([1, -n],[1-n],(1-x)/(1+x))/n/((1-x)^n),1],
[(1+x/a)^(1/2*n)/x^2/((1-x/a)^(1/2*n)),x,1,-4*(1-x/a)^(1-1/2*n)*(1+x/a)^(-1+1/2*n)*hypergeom([2, 1-1/2*n],[2-1/2*n],(a-x)/(a+x))/a/(2-n),1],
[(a*x+1)^n/x/((-a*x+1)^n),x,3,(a*x+1)^n*hypergeom([1, -n],[1-n],(-a*x+1)/(a*x+1))/n/((-a*x+1)^n)-2^n*hypergeom([-n, -n],[1-n],-1/2*a*x+1/2)/n/((-a*x+1)^n),1],
[(-a*x+1)^(1-n)*(a*x+1)^(1+n)/x^2,x,3,-2*a*(-a*x+1)^(1-n)*(a*x+1)^(-1+n)*hypergeom([2, 1-n],[2-n],(-a*x+1)/(a*x+1))/(1-n)-a*(a*x+1)^(1+n)*hypergeom([n, 1+n],[2+n],1/2*a*x+1/2)/(2^n)/(1+n),1],
[x^2*(-a*x+1)^(-1-1/2*n*(1+n))*(a*x+1)^(-1-1/2*(-1+n)*n),x,1,(a*x+1)^(1/2*(1-n)*n)*(-a*n*x+1)/a^3/n/(-n^2+1)/((-a*x+1)^(1/2*n*(1+n))),1],
[(b*x+a)^(1+n)/x/((-b*x+a)^n),x,6,-(-b*x+a)^(1-n)*(b*x+a)^n-a*(b*x+a)^n*hypergeom([1, n],[1+n],(b*x+a)/(-b*x+a))/n/((-b*x+a)^n)-2^(-1+n)*a*(1+2*n)*(-b*x+a)^(1-n)*(b*x+a)^(-1+n)*(1+b*x/a)^(1-n)*hypergeom([1-n, 1-n],[2-n],1/2*(-b*x+a)/a)/(1-n),1],
[(b*x+a)^(1+n)/x^2/((-b*x+a)^n),x,5,-(b*x+a)^(1+n)/x/((-b*x+a)^n)+b*(1+2*n)*(b*x+a)^n*hypergeom([1, -n],[1-n],(-b*x+a)/(b*x+a))/n/((-b*x+a)^n)-2^n*b*(b*x+a)^n*hypergeom([-n, -n],[1-n],1/2*(-b*x+a)/a)/n/((-b*x+a)^n)/((1+b*x/a)^n),1],
[(b*x+a)^(1+n)/x^3/((-b*x+a)^n),x,1,-4*b^2*(-b*x+a)^(1-n)*(b*x+a)^(-1+n)*hypergeom([3, 1-n],[2-n],(-b*x+a)/(b*x+a))/a/(1-n),1],
[(b*x+a)^(1+n)/x^4/((-b*x+a)^n),x,2,-1/3*(-b*x+a)^(1-n)*(b*x+a)^(2+n)/a^2/x^3-4/3*b^3*(1+2*n)*(-b*x+a)^(1-n)*(b*x+a)^(-1+n)*hypergeom([3, 1-n],[2-n],(-b*x+a)/(b*x+a))/a^2/(1-n),1],
[(b*x+a)^(1+n)/x^5/((-b*x+a)^n),x,4,-1/4*(-b*x+a)^(1-n)*(b*x+a)^(2+n)/a^2/x^4-1/12*b*(1+2*n)*(-b*x+a)^(1-n)*(b*x+a)^(2+n)/a^3/x^3-4/3*b^4*(n^2+n+1)*(-b*x+a)^(1-n)*(b*x+a)^(-1+n)*hypergeom([3, 1-n],[2-n],(-b*x+a)/(b*x+a))/a^3/(1-n),1],
[(-1-x)^n*(-1+x)^p/(-x)^(3/2),x,3,2*(-1-x)^n*(-1+x)^p*AppellF1(-1/2,-p,-n,1/2,x,-x)/((1-x)^p)/sqrt(-x)/((1+x)^n),1],
[(-b*x-1)^n*(b*x-1)^p/(-x)^(3/2),x,3,2*(-b*x-1)^n*(b*x-1)^p*AppellF1(-1/2,-p,-n,1/2,b*x,-b*x)/sqrt(-x)/((-b*x+1)^p)/((b*x+1)^n),1],
[(-d*x+c)^p*(d*x+c)^(3+p)/x,x,6,-2*(-d*x+c)^(p+1)*(d*x+c)^(2+p)/(p+1)-1/2*(-d*x+c)^(2+p)*(d*x+c)^(2+p)*hypergeom([1, 2+p],[3+p],1-d^2*x^2/c^2)/c/(2+p)-2^(p+1)*(5+3*p)*(-d*x+c)^(2+p)*(d*x+c)^(p+1)*(1+d*x/c)^(-1-p)*hypergeom([-1-p, 2+p],[3+p],1/2*(-d*x+c)/c)/(p+1)/(2+p),1],
[x*(-d*x+c)^p*(d*x+c)^(-3+p),x,3,(-d*x+c)^(p+1)*(d*x+c)^(-2+p)/d^2/(1-2*p)-3*2^p*c*(-d*x+c)^p*(d*x+c)^(-2+p)*hypergeom([-2+p, -p],[-1+p],1/2*(d*x+c)/c)/d^2/(1-2*p)/(2-p)/((1-d*x/c)^p),1],
[x^m*(-2*a*x+3)^(2+n)*(4*a*x+6)^n,x,5,-1/2*x^(1+m)*(-2*a*x+3)^(1+n)*(4*a*x+6)^(1+n)/(3+m+2*n)+18^(1+n)*(2+m+n)*x^(1+m)*hypergeom([1/2+1/2*m, -n],[3/2+1/2*m],4/9*a^2*x^2)/(1+m)/(3+m+2*n)-2^(2+n)*3^(1+2*n)*a*x^(2+m)*hypergeom([1+1/2*m, -n],[2+1/2*m],4/9*a^2*x^2)/(2+m),1],
[x^m*(-2*a*x+3)^(1+n)*(4*a*x+6)^n,x,5,2^n*3^(1+2*n)*x^(1+m)*hypergeom([1/2+1/2*m, -n],[3/2+1/2*m],4/9*a^2*x^2)/(1+m)-2^(1+n)*9^n*a*x^(2+m)*hypergeom([1+1/2*m, -n],[2+1/2*m],4/9*a^2*x^2)/(2+m),1],
[x^m*(-2*a*x+3)^n*(4*a*x+6)^n,x,2,18^n*x^(1+m)*hypergeom([1/2+1/2*m, -n],[3/2+1/2*m],4/9*a^2*x^2)/(1+m),1],
[x^m*(-2*a*x+3)^(-1+n)*(4*a*x+6)^n,x,5,2^n*3^(-1+2*n)*x^(1+m)*hypergeom([1/2+1/2*m, 1-n],[3/2+1/2*m],4/9*a^2*x^2)/(1+m)+2^(1+n)*9^(-1+n)*a*x^(2+m)*hypergeom([1+1/2*m, 1-n],[2+1/2*m],4/9*a^2*x^2)/(2+m),1],
[x^m*(-2*a*x+3)^(-2+n)*(4*a*x+6)^n,x,5,2*x^(1+m)*(-2*a*x+3)^(-1+n)*(4*a*x+6)^(-1+n)/(1-m-2*n)-2^(1+n)*9^(-1+n)*(m+n)*x^(1+m)*hypergeom([1/2+1/2*m, 2-n],[3/2+1/2*m],4/9*a^2*x^2)/(1+m)/(1-m-2*n)+2^(2+n)*3^(-3+2*n)*a*x^(2+m)*hypergeom([1+1/2*m, 2-n],[2+1/2*m],4/9*a^2*x^2)/(2+m),1],
[(e*x)^m*(-b*x+a)^(2+n)*(b*x+a)^n,x,8,-(e*x)^(1+m)*(-b*x+a)^(1+n)*(b*x+a)^(1+n)/e/(3+m+2*n)+2*a^2*(2+m+n)*(e*x)^(1+m)*(-b*x+a)^n*(b*x+a)^n*hypergeom([1/2+1/2*m, -n],[3/2+1/2*m],b^2*x^2/a^2)/e/(1+m)/(3+m+2*n)/((1-b^2*x^2/a^2)^n)-2*a*b*(e*x)^(2+m)*(-b*x+a)^n*(b*x+a)^n*hypergeom([1+1/2*m, -n],[2+1/2*m],b^2*x^2/a^2)/e^2/(2+m)/((1-b^2*x^2/a^2)^n),1],
[(1-x)^(-1/2+p)*(1+x)^(1/2+p)/((c*x)^(2*p+2)),x,7,-(c*x)^(-1-2*p)*(-x^2+1)^(1/2+p)/c/(1+2*p)-1/2*hypergeom([1/2-p, -p],[1-p],x^2)/c^2/p/((c*x)^(2*p)),1]]: