1,1,4972,210,0.211000," ","int((e*x)^m*(b*x^n+a)^3*(A+B*x^n)*(d*x^n+c),x)","\text{output too large to display}"," ",0,"x*(41*A*b^3*d*m^3*n^2*(x^n)^4+61*A*b^3*d*m^2*n^3*(x^n)^4+30*A*b^3*d*m*n^4*(x^n)^4+24*B*b^3*d*m*n^4*(x^n)^5+11*A*b^3*d*m^4*n*(x^n)^4+40*B*b^3*d*m^3*n*(x^n)^5+3*B*a*b^2*d*m^5*(x^n)^4+11*B*b^3*c*m^4*n*(x^n)^4+41*B*b^3*c*m^3*n^2*(x^n)^4+61*B*b^3*c*m^2*n^3*(x^n)^4+10*B*b^3*d*m^4*n*(x^n)^5+35*B*b^3*d*m^3*n^2*(x^n)^5+50*B*b^3*d*m^2*n^3*(x^n)^5+105*B*b^3*d*m^2*n^2*(x^n)^5+100*B*b^3*d*m*n^3*(x^n)^5+3*A*a*b^2*d*m^5*(x^n)^3+12*A*b^3*c*m^4*n*(x^n)^3+49*A*b^3*c*m^3*n^2*(x^n)^3+78*A*b^3*c*m^2*n^3*(x^n)^3+40*A*b^3*c*m*n^4*(x^n)^3+44*A*b^3*d*m^3*n*(x^n)^4+123*A*b^3*d*m^2*n^2*(x^n)^4+30*B*b^3*c*m*n^4*(x^n)^4+3*B*a*b^2*c*m^5*(x^n)^3+15*B*a*b^2*d*m^4*(x^n)^4+90*B*a*b^2*d*n^4*(x^n)^4+44*B*b^3*c*m^3*n*(x^n)^4+123*B*b^3*c*m^2*n^2*(x^n)^4+122*B*b^3*c*m*n^3*(x^n)^4+60*B*b^3*d*m^2*n*(x^n)^5+105*B*b^3*d*m*n^2*(x^n)^5+3*A*a^2*b*d*m^5*(x^n)^2+3*A*a*b^2*c*m^5*(x^n)^2+66*A*b^3*d*m^2*n*(x^n)^4+123*A*b^3*d*m*n^2*(x^n)^4+122*A*b^3*d*m*n^3*(x^n)^4+3*B*a^2*b*d*m^5*(x^n)^3+15*A*a*b^2*d*m^4*(x^n)^3+120*A*a*b^2*d*n^4*(x^n)^3+48*A*b^3*c*m^3*n*(x^n)^3+147*A*b^3*c*m^2*n^2*(x^n)^3+156*A*b^3*c*m*n^3*(x^n)^3+15*B*a*b^2*c*m^4*(x^n)^3+120*B*a*b^2*c*n^4*(x^n)^3+30*B*a*b^2*d*m^3*(x^n)^4+183*B*a*b^2*d*n^3*(x^n)^4+66*B*b^3*c*m^2*n*(x^n)^4+123*B*b^3*c*m*n^2*(x^n)^4+40*B*b^3*d*m*n*(x^n)^5+14*A*a^3*d*m^4*n*x^n+71*A*a^3*d*m^3*n^2*x^n+120*B*a^3*c*m*n^4*x^n+52*B*a^3*d*m^3*n*(x^n)^2+13*B*a^3*d*m^4*n*(x^n)^2+59*B*a^3*d*m^3*n^2*(x^n)^2+107*B*a^3*d*m^2*n^3*(x^n)^2+60*B*a^3*d*m*n^4*(x^n)^2+3*B*a^2*b*c*m^5*(x^n)^2+15*B*a^2*b*d*m^4*(x^n)^3+120*B*a^2*b*d*n^4*(x^n)^3+180*A*a*b^2*c*n^4*(x^n)^2+30*A*a*b^2*d*m^3*(x^n)^3+234*A*a*b^2*d*n^3*(x^n)^3+72*A*b^3*c*m^2*n*(x^n)^3+147*A*b^3*c*m*n^2*(x^n)^3+44*A*b^3*d*m*n*(x^n)^4+14*B*a^3*c*m^4*n*x^n+71*B*a^3*c*m^3*n^2*x^n+154*B*a^3*c*m^2*n^3*x^n+321*A*a^2*b*d*n^3*(x^n)^2+30*A*a*b^2*c*m^3*(x^n)^2+321*A*a*b^2*c*n^3*(x^n)^2+154*A*a^3*d*m^2*n^3*x^n+120*A*a^3*d*m*n^4*x^n+3*A*a^2*b*c*m^5*x^n+15*A*a^2*b*d*m^4*(x^n)^2+180*A*a^2*b*d*n^4*(x^n)^2+15*A*a*b^2*c*m^4*(x^n)^2+234*B*a^2*b*d*n^3*(x^n)^3+30*B*a*b^2*c*m^3*(x^n)^3+234*B*a*b^2*c*n^3*(x^n)^3+30*B*a*b^2*d*m^2*(x^n)^4+123*B*a*b^2*d*n^2*(x^n)^4+44*B*b^3*c*m*n*(x^n)^4+56*A*a^3*d*m^3*n*x^n+213*A*a^3*d*m^2*n^2*x^n+308*A*a^3*d*m*n^3*x^n+15*A*a^2*b*c*m^4*x^n+360*A*a^2*b*c*n^4*x^n+30*A*a^2*b*d*m^3*(x^n)^2+84*A*a^3*d*m^2*n*x^n+213*A*a^3*d*m*n^2*x^n+30*A*a^2*b*c*m^3*x^n+462*A*a^2*b*c*n^3*x^n+177*B*a^3*d*m^2*n^2*(x^n)^2+214*B*a^3*d*m*n^3*(x^n)^2+15*B*a^2*b*c*m^4*(x^n)^2+180*B*a^2*b*c*n^4*(x^n)^2+30*B*a^2*b*d*m^3*(x^n)^3+177*B*a^3*d*m*n^2*(x^n)^2+30*B*a^2*b*c*m^3*(x^n)^2+321*B*a^2*b*c*n^3*(x^n)^2+30*B*a^2*b*d*m^2*(x^n)^3+147*B*a^2*b*d*n^2*(x^n)^3+30*B*a*b^2*c*m^2*(x^n)^3+147*B*a*b^2*c*n^2*(x^n)^3+15*B*a*b^2*d*(x^n)^4*m+33*B*a*b^2*d*(x^n)^4*n+30*A*a*b^2*d*m^2*(x^n)^3+147*A*a*b^2*d*n^2*(x^n)^3+48*A*b^3*c*m*n*(x^n)^3+56*B*a^3*c*m^3*n*x^n+213*B*a^3*c*m^2*n^2*x^n+308*B*a^3*c*m*n^3*x^n+78*B*a^3*d*m^2*n*(x^n)^2+213*B*a^3*c*m*n^2*x^n+52*B*a^3*d*m*n*(x^n)^2+30*B*a^2*b*c*m^2*(x^n)^2+177*B*a^2*b*c*n^2*(x^n)^2+15*B*a^2*b*d*(x^n)^3*m+36*B*a^2*b*d*(x^n)^3*n+15*B*a*b^2*c*(x^n)^3*m+30*A*a^2*b*d*m^2*(x^n)^2+177*A*a^2*b*d*n^2*(x^n)^2+30*A*a*b^2*c*m^2*(x^n)^2+177*A*a*b^2*c*n^2*(x^n)^2+15*A*a*b^2*d*(x^n)^3*m+36*A*a*b^2*d*(x^n)^3*n+84*B*a^3*c*m^2*n*x^n+30*A*a^2*b*c*m^2*x^n+213*A*a^2*b*c*n^2*x^n+15*A*a^2*b*d*(x^n)^2*m+39*A*a^2*b*d*(x^n)^2*n+15*A*a*b^2*c*(x^n)^2*m+39*A*a*b^2*c*(x^n)^2*n+42*A*a^2*b*c*x^n*n+36*B*a*b^2*c*(x^n)^3*n+56*A*a^3*d*m*n*x^n+56*B*a^3*c*m*n*x^n+15*B*a^2*b*c*(x^n)^2*m+39*B*a^2*b*c*(x^n)^2*n+15*A*a^2*b*c*x^n*m+B*b^3*c*(x^n)^4+A*b^3*c*(x^n)^3+B*a^3*d*(x^n)^2+A*a^3*d*x^n+B*a^3*c*x^n+b^3*B*d*(x^n)^5+A*b^3*d*(x^n)^4+10*A*a^3*c*m^3+225*A*a^3*c*n^3+10*A*a^3*c*m^2+85*A*a^3*c*n^2+A*a^3*c*m^5+5*A*a^3*c*m^4+274*A*a^3*c*n^4+120*A*a^3*c*n^5+5*a^3*A*c*m+15*a^3*A*c*n+90*B*a*b^2*d*m*n^4*(x^n)^4+36*A*a*b^2*d*m^4*n*(x^n)^3+147*A*a*b^2*d*m^3*n^2*(x^n)^3+234*A*a*b^2*d*m^2*n^3*(x^n)^3+a^3*A*c+468*B*a^2*b*d*m*n^3*(x^n)^3+144*A*a*b^2*d*m*n*(x^n)^3+234*B*a^2*b*c*m^2*n*(x^n)^2+531*B*a^2*b*c*m*n^2*(x^n)^2+144*B*a^2*b*d*m*n*(x^n)^3+144*B*a*b^2*c*m*n*(x^n)^3+3*(x^n)^3*B*a^2*b*d+3*(x^n)^4*B*a*b^2*d+156*A*a^2*b*d*m^3*n*(x^n)^2+531*A*a^2*b*d*m^2*n^2*(x^n)^2+642*A*a^2*b*d*m*n^3*(x^n)^2+156*A*a*b^2*c*m^3*n*(x^n)^2+531*A*a*b^2*c*m^2*n^2*(x^n)^2+642*A*a*b^2*c*m*n^3*(x^n)^2+216*A*a*b^2*d*m^2*n*(x^n)^3+441*A*a*b^2*d*m*n^2*(x^n)^3+252*A*a^2*b*c*m^2*n*x^n+639*A*a^2*b*c*m*n^2*x^n+156*A*a^2*b*d*m*n*(x^n)^2+156*A*a*b^2*c*m*n*(x^n)^2+156*B*a^2*b*c*m^3*n*(x^n)^2+531*B*a^2*b*c*m^2*n^2*(x^n)^2+642*B*a^2*b*c*m*n^3*(x^n)^2+216*B*a^2*b*d*m^2*n*(x^n)^3+369*B*a*b^2*d*m^2*n^2*(x^n)^4+366*B*a*b^2*d*m*n^3*(x^n)^4+39*A*a^2*b*d*m^4*n*(x^n)^2+177*A*a^2*b*d*m^3*n^2*(x^n)^2+321*A*a^2*b*d*m^2*n^3*(x^n)^2+321*B*a^2*b*c*m^2*n^3*(x^n)^2+180*B*a^2*b*c*m*n^4*(x^n)^2+144*B*a^2*b*d*m^3*n*(x^n)^3+441*B*a^2*b*d*m^2*n^2*(x^n)^3+33*B*a*b^2*d*m^4*n*(x^n)^4+123*B*a*b^2*d*m^3*n^2*(x^n)^4+183*B*a*b^2*d*m^2*n^3*(x^n)^4+42*A*a^2*b*c*m^4*n*x^n+213*A*a^2*b*c*m^3*n^2*x^n+462*A*a^2*b*c*m^2*n^3*x^n+360*A*a^2*b*c*m*n^4*x^n+639*A*a^2*b*c*m^2*n^2*x^n+924*A*a^2*b*c*m*n^3*x^n+234*A*a^2*b*d*m^2*n*(x^n)^2+531*A*a^2*b*d*m*n^2*(x^n)^2+234*A*a*b^2*c*m^2*n*(x^n)^2+531*A*a*b^2*c*m*n^2*(x^n)^2+120*A*a*b^2*d*m*n^4*(x^n)^3+36*B*a^2*b*d*m^4*n*(x^n)^3+147*B*a^2*b*d*m^3*n^2*(x^n)^3+180*A*a^2*b*d*m*n^4*(x^n)^2+39*A*a*b^2*c*m^4*n*(x^n)^2+177*A*a*b^2*c*m^3*n^2*(x^n)^2+321*A*a*b^2*c*m^2*n^3*(x^n)^2+180*A*a*b^2*c*m*n^4*(x^n)^2+144*A*a*b^2*d*m^3*n*(x^n)^3+441*A*a*b^2*d*m^2*n^2*(x^n)^3+468*A*a*b^2*d*m*n^3*(x^n)^3+39*B*a^2*b*c*m^4*n*(x^n)^2+177*B*a^2*b*c*m^3*n^2*(x^n)^2+156*B*a^2*b*c*m*n*(x^n)^2+168*A*a^2*b*c*m*n*x^n+234*B*a^2*b*d*m^2*n^3*(x^n)^3+120*B*a^2*b*d*m*n^4*(x^n)^3+36*B*a*b^2*c*m^4*n*(x^n)^3+147*B*a*b^2*c*m^3*n^2*(x^n)^3+234*B*a*b^2*c*m^2*n^3*(x^n)^3+120*B*a*b^2*c*m*n^4*(x^n)^3+132*B*a*b^2*d*m^3*n*(x^n)^4+144*B*a*b^2*c*m^3*n*(x^n)^3+441*B*a*b^2*c*m^2*n^2*(x^n)^3+468*B*a*b^2*c*m*n^3*(x^n)^3+198*B*a*b^2*d*m^2*n*(x^n)^4+369*B*a*b^2*d*m*n^2*(x^n)^4+441*B*a^2*b*d*m*n^2*(x^n)^3+216*B*a*b^2*c*m^2*n*(x^n)^3+441*B*a*b^2*c*m*n^2*(x^n)^3+132*B*a*b^2*d*m*n*(x^n)^4+168*A*a^2*b*c*m^3*n*x^n+107*B*a^3*d*n^3*(x^n)^2+5*B*b^3*c*(x^n)^4*m+3*(x^n)^2*d*a^2*b*A+3*(x^n)^2*c*a*b^2*A+3*(x^n)^3*A*a*b^2*d+10*B*b^3*d*m^3*(x^n)^5+50*B*b^3*d*n^3*(x^n)^5+5*A*b^3*c*m^4*(x^n)^3+40*A*b^3*c*n^4*(x^n)^3+10*A*b^3*d*m^3*(x^n)^4+61*A*b^3*d*n^3*(x^n)^4+B*a^3*d*m^5*(x^n)^2+10*B*b^3*c*m^3*(x^n)^4+61*B*b^3*c*n^3*(x^n)^4+10*B*b^3*d*m^2*(x^n)^5+35*B*b^3*d*n^2*(x^n)^5+A*a^3*d*m^5*x^n+5*B*a^3*c*m^4*x^n+120*B*a^3*c*n^4*x^n+10*A*a^3*d*m^3*x^n+3*(x^n)^2*c*a^2*b*B+3*x^n*c*a^2*b*A+3*(x^n)^3*B*a*b^2*c+10*B*a^3*c*m^3*x^n+154*B*a^3*c*n^3*x^n+10*B*a^3*d*m^2*(x^n)^2+59*B*a^3*d*n^2*(x^n)^2+10*A*a^3*d*m^2*x^n+71*A*a^3*d*n^2*x^n+10*B*a^3*c*m^2*x^n+71*B*a^3*c*n^2*x^n+5*B*a^3*d*(x^n)^2*m+13*B*a^3*d*(x^n)^2*n+B*b^3*d*m^5*(x^n)^5+11*B*b^3*c*(x^n)^4*n+154*A*a^3*d*n^3*x^n+450*A*a^3*c*m*n^3+90*A*a^3*c*m^2*n+255*A*a^3*c*m*n^2+60*A*a^3*c*m*n+274*A*a^3*c*m*n^4+60*A*a^3*c*m^3*n+255*A*a^3*c*m^2*n^2+15*A*a^3*c*m^4*n+85*A*a^3*c*m^3*n^2+225*A*a^3*c*m^2*n^3+A*b^3*d*m^5*(x^n)^4+B*b^3*c*m^5*(x^n)^4+5*B*b^3*d*m^4*(x^n)^5+24*B*b^3*d*n^4*(x^n)^5+A*b^3*c*m^5*(x^n)^3+5*A*b^3*d*m^4*(x^n)^4+30*A*b^3*d*n^4*(x^n)^4+5*B*b^3*c*m^4*(x^n)^4+30*B*b^3*c*n^4*(x^n)^4+5*B*a^3*c*x^n*m+14*B*a^3*c*x^n*n+10*A*b^3*c*m^3*(x^n)^3+78*A*b^3*c*n^3*(x^n)^3+10*A*b^3*d*m^2*(x^n)^4+41*A*b^3*d*n^2*(x^n)^4+B*a^3*c*m^5*x^n+5*B*a^3*d*m^4*(x^n)^2+60*B*a^3*d*n^4*(x^n)^2+10*B*b^3*c*m^2*(x^n)^4+120*A*a^3*d*n^4*x^n+10*A*b^3*c*m^2*(x^n)^3+49*A*b^3*c*n^2*(x^n)^3+5*A*b^3*d*(x^n)^4*m+11*A*b^3*d*(x^n)^4*n+5*A*b^3*c*(x^n)^3*m+12*A*b^3*c*(x^n)^3*n+41*B*b^3*c*n^2*(x^n)^4+5*m*b^3*B*d*(x^n)^5+10*b^3*B*d*(x^n)^5*n+5*A*a^3*d*m^4*x^n+10*B*a^3*d*m^3*(x^n)^2+5*A*a^3*d*x^n*m+14*A*a^3*d*x^n*n)/(m+1)/(m+n+1)/(m+2*n+1)/(m+3*n+1)/(1+m+4*n)/(1+m+5*n)*exp(1/2*m*(-I*Pi*csgn(I*e*x)^3+I*Pi*csgn(I*e*x)^2*csgn(I*e)+I*Pi*csgn(I*e*x)^2*csgn(I*x)-I*Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*ln(e)+2*ln(x)))","C"
2,1,2410,160,0.138000," ","int((e*x)^m*(b*x^n+a)^2*(A+B*x^n)*(d*x^n+c),x)","\frac{\left(A \,a^{2} d \,m^{4} x^{n}+9 A \,a^{2} d \,m^{3} n \,x^{n}+26 A \,a^{2} d \,m^{2} n^{2} x^{n}+24 A \,a^{2} d m \,n^{3} x^{n}+2 A a b c \,m^{4} x^{n}+18 A a b c \,m^{3} n \,x^{n}+52 A a b c \,m^{2} n^{2} x^{n}+48 A a b c m \,n^{3} x^{n}+2 A a b d \,m^{4} x^{2 n}+16 A a b d \,m^{3} n \,x^{2 n}+38 A a b d \,m^{2} n^{2} x^{2 n}+24 A a b d m \,n^{3} x^{2 n}+A \,b^{2} c \,m^{4} x^{2 n}+8 A \,b^{2} c \,m^{3} n \,x^{2 n}+19 A \,b^{2} c \,m^{2} n^{2} x^{2 n}+12 A \,b^{2} c m \,n^{3} x^{2 n}+A \,b^{2} d \,m^{4} x^{3 n}+7 A \,b^{2} d \,m^{3} n \,x^{3 n}+14 A \,b^{2} d \,m^{2} n^{2} x^{3 n}+8 A \,b^{2} d m \,n^{3} x^{3 n}+B \,a^{2} c \,m^{4} x^{n}+9 B \,a^{2} c \,m^{3} n \,x^{n}+26 B \,a^{2} c \,m^{2} n^{2} x^{n}+24 B \,a^{2} c m \,n^{3} x^{n}+B \,a^{2} d \,m^{4} x^{2 n}+8 B \,a^{2} d \,m^{3} n \,x^{2 n}+19 B \,a^{2} d \,m^{2} n^{2} x^{2 n}+12 B \,a^{2} d m \,n^{3} x^{2 n}+2 B a b c \,m^{4} x^{2 n}+16 B a b c \,m^{3} n \,x^{2 n}+38 B a b c \,m^{2} n^{2} x^{2 n}+24 B a b c m \,n^{3} x^{2 n}+2 B a b d \,m^{4} x^{3 n}+14 B a b d \,m^{3} n \,x^{3 n}+28 B a b d \,m^{2} n^{2} x^{3 n}+16 B a b d m \,n^{3} x^{3 n}+B \,b^{2} c \,m^{4} x^{3 n}+7 B \,b^{2} c \,m^{3} n \,x^{3 n}+14 B \,b^{2} c \,m^{2} n^{2} x^{3 n}+8 B \,b^{2} c m \,n^{3} x^{3 n}+B \,b^{2} d \,m^{4} x^{4 n}+6 B \,b^{2} d \,m^{3} n \,x^{4 n}+11 B \,b^{2} d \,m^{2} n^{2} x^{4 n}+6 B \,b^{2} d m \,n^{3} x^{4 n}+A \,a^{2} c \,m^{4}+10 A \,a^{2} c \,m^{3} n +35 A \,a^{2} c \,m^{2} n^{2}+50 A \,a^{2} c m \,n^{3}+24 A \,a^{2} c \,n^{4}+4 A \,a^{2} d \,m^{3} x^{n}+27 A \,a^{2} d \,m^{2} n \,x^{n}+52 A \,a^{2} d m \,n^{2} x^{n}+24 A \,a^{2} d \,n^{3} x^{n}+8 A a b c \,m^{3} x^{n}+54 A a b c \,m^{2} n \,x^{n}+104 A a b c m \,n^{2} x^{n}+48 A a b c \,n^{3} x^{n}+8 A a b d \,m^{3} x^{2 n}+48 A a b d \,m^{2} n \,x^{2 n}+76 A a b d m \,n^{2} x^{2 n}+24 A a b d \,n^{3} x^{2 n}+4 A \,b^{2} c \,m^{3} x^{2 n}+24 A \,b^{2} c \,m^{2} n \,x^{2 n}+38 A \,b^{2} c m \,n^{2} x^{2 n}+12 A \,b^{2} c \,n^{3} x^{2 n}+4 A \,b^{2} d \,m^{3} x^{3 n}+21 A \,b^{2} d \,m^{2} n \,x^{3 n}+28 A \,b^{2} d m \,n^{2} x^{3 n}+8 A \,b^{2} d \,n^{3} x^{3 n}+4 B \,a^{2} c \,m^{3} x^{n}+27 B \,a^{2} c \,m^{2} n \,x^{n}+52 B \,a^{2} c m \,n^{2} x^{n}+24 B \,a^{2} c \,n^{3} x^{n}+4 B \,a^{2} d \,m^{3} x^{2 n}+24 B \,a^{2} d \,m^{2} n \,x^{2 n}+38 B \,a^{2} d m \,n^{2} x^{2 n}+12 B \,a^{2} d \,n^{3} x^{2 n}+8 B a b c \,m^{3} x^{2 n}+48 B a b c \,m^{2} n \,x^{2 n}+76 B a b c m \,n^{2} x^{2 n}+24 B a b c \,n^{3} x^{2 n}+8 B a b d \,m^{3} x^{3 n}+42 B a b d \,m^{2} n \,x^{3 n}+56 B a b d m \,n^{2} x^{3 n}+16 B a b d \,n^{3} x^{3 n}+4 B \,b^{2} c \,m^{3} x^{3 n}+21 B \,b^{2} c \,m^{2} n \,x^{3 n}+28 B \,b^{2} c m \,n^{2} x^{3 n}+8 B \,b^{2} c \,n^{3} x^{3 n}+4 B \,b^{2} d \,m^{3} x^{4 n}+18 B \,b^{2} d \,m^{2} n \,x^{4 n}+22 B \,b^{2} d m \,n^{2} x^{4 n}+6 B \,b^{2} d \,n^{3} x^{4 n}+4 A \,a^{2} c \,m^{3}+30 A \,a^{2} c \,m^{2} n +70 A \,a^{2} c m \,n^{2}+50 A \,a^{2} c \,n^{3}+6 A \,a^{2} d \,m^{2} x^{n}+27 A \,a^{2} d m n \,x^{n}+26 A \,a^{2} d \,n^{2} x^{n}+12 A a b c \,m^{2} x^{n}+54 A a b c m n \,x^{n}+52 A a b c \,n^{2} x^{n}+12 A a b d \,m^{2} x^{2 n}+48 A a b d m n \,x^{2 n}+38 A a b d \,n^{2} x^{2 n}+6 A \,b^{2} c \,m^{2} x^{2 n}+24 A \,b^{2} c m n \,x^{2 n}+19 A \,b^{2} c \,n^{2} x^{2 n}+6 A \,b^{2} d \,m^{2} x^{3 n}+21 A \,b^{2} d m n \,x^{3 n}+14 A \,b^{2} d \,n^{2} x^{3 n}+6 B \,a^{2} c \,m^{2} x^{n}+27 B \,a^{2} c m n \,x^{n}+26 B \,a^{2} c \,n^{2} x^{n}+6 B \,a^{2} d \,m^{2} x^{2 n}+24 B \,a^{2} d m n \,x^{2 n}+19 B \,a^{2} d \,n^{2} x^{2 n}+12 B a b c \,m^{2} x^{2 n}+48 B a b c m n \,x^{2 n}+38 B a b c \,n^{2} x^{2 n}+12 B a b d \,m^{2} x^{3 n}+42 B a b d m n \,x^{3 n}+28 B a b d \,n^{2} x^{3 n}+6 B \,b^{2} c \,m^{2} x^{3 n}+21 B \,b^{2} c m n \,x^{3 n}+14 B \,b^{2} c \,n^{2} x^{3 n}+6 B \,b^{2} d \,m^{2} x^{4 n}+18 B \,b^{2} d m n \,x^{4 n}+11 B \,b^{2} d \,n^{2} x^{4 n}+6 A \,a^{2} c \,m^{2}+30 A \,a^{2} c m n +35 A \,a^{2} c \,n^{2}+4 A \,a^{2} d m \,x^{n}+9 A \,a^{2} d n \,x^{n}+8 A a b c m \,x^{n}+18 A a b c n \,x^{n}+8 A a b d m \,x^{2 n}+16 A a b d n \,x^{2 n}+4 A \,b^{2} c m \,x^{2 n}+8 A \,b^{2} c n \,x^{2 n}+4 A \,b^{2} d m \,x^{3 n}+7 A \,b^{2} d n \,x^{3 n}+4 B \,a^{2} c m \,x^{n}+9 B \,a^{2} c n \,x^{n}+4 B \,a^{2} d m \,x^{2 n}+8 B \,a^{2} d n \,x^{2 n}+8 B a b c m \,x^{2 n}+16 B a b c n \,x^{2 n}+8 B a b d m \,x^{3 n}+14 B a b d n \,x^{3 n}+4 B \,b^{2} c m \,x^{3 n}+7 B \,b^{2} c n \,x^{3 n}+4 B \,b^{2} d m \,x^{4 n}+6 B \,b^{2} d n \,x^{4 n}+4 A \,a^{2} c m +10 A \,a^{2} c n +A \,a^{2} d \,x^{n}+2 A a b c \,x^{n}+2 A a b d \,x^{2 n}+A \,b^{2} c \,x^{2 n}+A \,b^{2} d \,x^{3 n}+B \,a^{2} c \,x^{n}+B \,a^{2} d \,x^{2 n}+2 B a b c \,x^{2 n}+2 B a b d \,x^{3 n}+B \,b^{2} c \,x^{3 n}+B \,b^{2} d \,x^{4 n}+A \,a^{2} c \right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(e \right)+2 \ln \left(x \right)\right) m}{2}}}{\left(m +1\right) \left(m +n +1\right) \left(m +2 n +1\right) \left(m +3 n +1\right) \left(m +4 n +1\right)}"," ",0,"x*(2*B*a*b*d*m^4*(x^n)^3+7*B*b^2*c*m^3*n*(x^n)^3+14*B*b^2*c*m^2*n^2*(x^n)^3+8*B*b^2*c*m*n^3*(x^n)^3+18*B*b^2*d*m^2*n*(x^n)^4+22*B*b^2*d*m*n^2*(x^n)^4+2*A*a*b*d*m^4*(x^n)^2+2*A*a*b*c*m^4*x^n+6*B*b^2*d*m^3*n*(x^n)^4+11*B*b^2*d*m^2*n^2*(x^n)^4+6*B*b^2*d*m*n^3*(x^n)^4+7*A*b^2*d*m^3*n*(x^n)^3+14*A*b^2*d*m^2*n^2*(x^n)^3+8*A*b^2*d*m*n^3*(x^n)^3+9*A*a^2*d*m^3*n*x^n+26*A*a^2*d*m^2*n^2*x^n+24*A*a^2*d*m*n^3*x^n+8*B*a*b*d*m^3*(x^n)^3+16*B*a*b*d*n^3*(x^n)^3+21*B*b^2*c*m^2*n*(x^n)^3+28*B*b^2*c*m*n^2*(x^n)^3+18*B*b^2*d*m*n*(x^n)^4+a^2*A*c+A*b^2*d*(x^n)^3+B*b^2*c*(x^n)^3+A*b^2*c*(x^n)^2+B*a^2*d*(x^n)^2+A*a^2*d*x^n+B*a^2*c*x^n+b^2*B*d*(x^n)^4+35*A*a^2*c*n^2+A*a^2*c*m^4+4*A*a^2*c*m^3+50*A*a^2*c*n^3+6*A*a^2*c*m^2+24*A*a^2*c*n^4+12*B*a^2*d*m*n^3*(x^n)^2+2*B*a*b*c*m^4*(x^n)^2+19*B*a^2*d*m^2*n^2*(x^n)^2+19*A*b^2*c*m^2*n^2*(x^n)^2+12*A*b^2*c*m*n^3*(x^n)^2+21*A*b^2*d*m^2*n*(x^n)^3+28*A*b^2*d*m*n^2*(x^n)^3+8*B*a^2*d*m^3*n*(x^n)^2+24*B*a^2*c*m*n^3*x^n+24*B*a^2*d*m^2*n*(x^n)^2+38*B*a^2*d*m*n^2*(x^n)^2+8*A*b^2*c*m^3*n*(x^n)^2+24*A*b^2*c*m^2*n*(x^n)^2+38*A*b^2*c*m*n^2*(x^n)^2+21*A*b^2*d*m*n*(x^n)^3+9*B*a^2*c*m^3*n*x^n+26*B*a^2*c*m^2*n^2*x^n+8*A*a*b*d*m^3*(x^n)^2+24*A*a*b*d*n^3*(x^n)^2+12*B*a*b*d*m^2*(x^n)^3+28*B*a*b*d*n^2*(x^n)^3+27*B*a^2*c*m^2*n*x^n+8*B*a*b*c*m^3*(x^n)^2+24*B*a*b*c*n^3*(x^n)^2+52*A*a^2*d*m*n^2*x^n+8*A*a*b*c*m^3*x^n+48*A*a*b*c*n^3*x^n+12*A*a*b*d*m^2*(x^n)^2+38*A*a*b*d*n^2*(x^n)^2+24*A*b^2*c*m*n*(x^n)^2+27*A*a^2*d*m*n*x^n+52*B*a^2*c*m*n^2*x^n+24*B*a^2*d*m*n*(x^n)^2+12*B*a*b*c*m^2*(x^n)^2+21*B*b^2*c*m*n*(x^n)^3+27*A*a^2*d*m^2*n*x^n+38*B*a*b*c*n^2*(x^n)^2+8*B*a*b*d*(x^n)^3*m+14*B*a*b*d*(x^n)^3*n+8*A*a*b*d*(x^n)^2*m+16*A*a*b*d*(x^n)^2*n+27*B*a^2*c*m*n*x^n+8*B*a*b*c*(x^n)^2*m+18*A*a*b*c*x^n*n+12*A*a*b*c*m^2*x^n+52*A*a*b*c*n^2*x^n+8*A*a*b*c*x^n*m+16*B*a*b*c*(x^n)^2*n+4*a^2*A*c*m+10*a^2*A*c*n+4*A*b^2*d*(x^n)^3*m+7*A*b^2*d*(x^n)^3*n+4*B*a^2*c*m^3*x^n+24*B*a^2*c*n^3*x^n+6*B*a^2*d*m^2*(x^n)^2+19*B*a^2*d*n^2*(x^n)^2+4*B*b^2*c*(x^n)^3*m+7*B*b^2*c*(x^n)^3*n+6*A*a^2*d*m^2*x^n+4*A*b^2*d*m^3*(x^n)^3+8*A*b^2*d*n^3*(x^n)^3+4*A*a^2*d*x^n*m+9*A*a^2*d*x^n*n+4*B*a^2*c*x^n*m+9*B*a^2*c*x^n*n+54*A*a*b*c*m*n*x^n+38*A*a*b*d*m^2*n^2*(x^n)^2+24*A*a*b*d*m*n^3*(x^n)^2+16*B*a*b*c*m^3*n*(x^n)^2+38*B*a*b*c*m^2*n^2*(x^n)^2+24*B*a*b*c*m*n^3*(x^n)^2+42*B*a*b*d*m^2*n*(x^n)^3+76*A*a*b*d*m*n^2*(x^n)^2+48*B*a*b*c*m^2*n*(x^n)^2+76*B*a*b*c*m*n^2*(x^n)^2+42*B*a*b*d*m*n*(x^n)^3+54*A*a*b*c*m^2*n*x^n+104*A*a*b*c*m*n^2*x^n+48*A*a*b*d*m*n*(x^n)^2+48*B*a*b*c*m*n*(x^n)^2+14*B*a*b*d*m^3*n*(x^n)^3+28*B*a*b*d*m^2*n^2*(x^n)^3+16*B*a*b*d*m*n^3*(x^n)^3+16*A*a*b*d*m^3*n*(x^n)^2+56*B*a*b*d*m*n^2*(x^n)^3+18*A*a*b*c*m^3*n*x^n+52*A*a*b*c*m^2*n^2*x^n+48*A*a*b*c*m*n^3*x^n+48*A*a*b*d*m^2*n*(x^n)^2+B*b^2*d*m^4*(x^n)^4+A*b^2*d*m^4*(x^n)^3+B*b^2*c*m^4*(x^n)^3+4*B*b^2*d*m^3*(x^n)^4+6*B*b^2*d*n^3*(x^n)^4+A*b^2*c*m^4*(x^n)^2+2*(x^n)^2*B*a*b*c+2*x^n*c*a*b*A+2*(x^n)^2*A*a*b*d+30*A*a^2*c*m^2*n+70*A*a^2*c*m*n^2+30*A*a^2*c*m*n+2*(x^n)^3*B*a*b*d+10*A*a^2*c*m^3*n+35*A*a^2*c*m^2*n^2+50*A*a^2*c*m*n^3+14*B*b^2*c*n^2*(x^n)^3+4*m*b^2*B*d*(x^n)^4+6*b^2*B*d*(x^n)^4*n+4*A*a^2*d*m^3*x^n+24*A*a^2*d*n^3*x^n+6*A*b^2*c*m^2*(x^n)^2+19*A*b^2*c*n^2*(x^n)^2+6*A*b^2*d*m^2*(x^n)^3+14*A*b^2*d*n^2*(x^n)^3+B*a^2*c*m^4*x^n+4*B*a^2*d*m^3*(x^n)^2+12*B*a^2*d*n^3*(x^n)^2+6*B*b^2*c*m^2*(x^n)^3+B*a^2*d*m^4*(x^n)^2+4*B*b^2*c*m^3*(x^n)^3+8*B*b^2*c*n^3*(x^n)^3+6*B*b^2*d*m^2*(x^n)^4+11*B*b^2*d*n^2*(x^n)^4+A*a^2*d*m^4*x^n+4*A*b^2*c*m^3*(x^n)^2+12*A*b^2*c*n^3*(x^n)^2+26*A*a^2*d*n^2*x^n+4*A*b^2*c*(x^n)^2*m+8*A*b^2*c*(x^n)^2*n+6*B*a^2*c*m^2*x^n+26*B*a^2*c*n^2*x^n+4*B*a^2*d*(x^n)^2*m+8*B*a^2*d*(x^n)^2*n)/(m+1)/(m+n+1)/(m+2*n+1)/(m+3*n+1)/(1+m+4*n)*exp(1/2*m*(-I*Pi*csgn(I*e*x)^3+I*Pi*csgn(I*e*x)^2*csgn(I*e)+I*Pi*csgn(I*e*x)^2*csgn(I*x)-I*Pi*csgn(I*e*x)*csgn(I*e)*csgn(I*x)+2*ln(e)+2*ln(x)))","C"
3,1,891,108,0.109000," ","int((e*x)^m*(b*x^n+a)*(A+B*x^n)*(d*x^n+c),x)","\frac{\left(A a d \,m^{3} x^{n}+5 A a d \,m^{2} n \,x^{n}+6 A a d m \,n^{2} x^{n}+A b c \,m^{3} x^{n}+5 A b c \,m^{2} n \,x^{n}+6 A b c m \,n^{2} x^{n}+A b d \,m^{3} x^{2 n}+4 A b d \,m^{2} n \,x^{2 n}+3 A b d m \,n^{2} x^{2 n}+B a c \,m^{3} x^{n}+5 B a c \,m^{2} n \,x^{n}+6 B a c m \,n^{2} x^{n}+B a d \,m^{3} x^{2 n}+4 B a d \,m^{2} n \,x^{2 n}+3 B a d m \,n^{2} x^{2 n}+B b c \,m^{3} x^{2 n}+4 B b c \,m^{2} n \,x^{2 n}+3 B b c m \,n^{2} x^{2 n}+B b d \,m^{3} x^{3 n}+3 B b d \,m^{2} n \,x^{3 n}+2 B b d m \,n^{2} x^{3 n}+A a c \,m^{3}+6 A a c \,m^{2} n +11 A a c m \,n^{2}+6 A a c \,n^{3}+3 A a d \,m^{2} x^{n}+10 A a d m n \,x^{n}+6 A a d \,n^{2} x^{n}+3 A b c \,m^{2} x^{n}+10 A b c m n \,x^{n}+6 A b c \,n^{2} x^{n}+3 A b d \,m^{2} x^{2 n}+8 A b d m n \,x^{2 n}+3 A b d \,n^{2} x^{2 n}+3 B a c \,m^{2} x^{n}+10 B a c m n \,x^{n}+6 B a c \,n^{2} x^{n}+3 B a d \,m^{2} x^{2 n}+8 B a d m n \,x^{2 n}+3 B a d \,n^{2} x^{2 n}+3 B b c \,m^{2} x^{2 n}+8 B b c m n \,x^{2 n}+3 B b c \,n^{2} x^{2 n}+3 B b d \,m^{2} x^{3 n}+6 B b d m n \,x^{3 n}+2 B b d \,n^{2} x^{3 n}+3 A a c \,m^{2}+12 A a c m n +11 A a c \,n^{2}+3 A a d m \,x^{n}+5 A a d n \,x^{n}+3 A b c m \,x^{n}+5 A b c n \,x^{n}+3 A b d m \,x^{2 n}+4 A b d n \,x^{2 n}+3 B a c m \,x^{n}+5 B a c n \,x^{n}+3 B a d m \,x^{2 n}+4 B a d n \,x^{2 n}+3 B b c m \,x^{2 n}+4 B b c n \,x^{2 n}+3 B b d m \,x^{3 n}+3 B b d n \,x^{3 n}+3 A a c m +6 A a c n +A a d \,x^{n}+A b c \,x^{n}+A b d \,x^{2 n}+B a c \,x^{n}+B a d \,x^{2 n}+B b c \,x^{2 n}+B b d \,x^{3 n}+A a c \right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(e \right)+2 \ln \left(x \right)\right) m}{2}}}{\left(m +1\right) \left(m +n +1\right) \left(m +2 n +1\right) \left(m +3 n +1\right)}"," ",0,"x*(a*A*c+B*b*c*(x^n)^2+B*a*d*(x^n)^2+A*b*d*(x^n)^2+b*B*d*(x^n)^3+B*a*c*x^n+A*a*d*x^n+A*b*c*x^n+A*a*c*m^3+3*A*a*c*m^2+11*A*a*c*n^2+6*A*a*c*n^3+6*a*A*c*n+10*A*b*c*m*n*x^n+10*B*a*c*m*n*x^n+10*A*a*d*m*n*x^n+6*B*a*c*m*n^2*x^n+8*B*a*d*m*n*(x^n)^2+8*B*b*c*m*n*(x^n)^2+8*A*b*d*m*n*(x^n)^2+5*B*a*c*m^2*n*x^n+5*A*b*c*m^2*n*x^n+6*A*b*c*m*n^2*x^n+6*A*a*d*m*n^2*x^n+5*A*a*d*m^2*n*x^n+3*B*b*c*m*n^2*(x^n)^2+6*B*b*d*m*n*(x^n)^3+4*B*a*d*m^2*n*(x^n)^2+3*B*a*d*m*n^2*(x^n)^2+4*B*b*c*m^2*n*(x^n)^2+3*A*b*d*m*n^2*(x^n)^2+4*A*b*d*m^2*n*(x^n)^2+3*B*b*d*m^2*n*(x^n)^3+2*B*b*d*m*n^2*(x^n)^3+4*A*(x^n)^2*b*d*n+3*B*(x^n)^2*a*d*m+4*B*(x^n)^2*a*d*n+3*B*(x^n)^2*b*c*m+4*B*(x^n)^2*b*c*n+3*A*x^n*a*d*m+5*A*x^n*a*d*n+3*A*x^n*b*c*m+5*A*x^n*b*c*n+3*B*x^n*a*c*m+5*B*x^n*a*c*n+3*B*(x^n)^3*b*d*m+3*B*(x^n)^3*b*d*n+3*A*(x^n)^2*b*d*m+3*A*a*c*m+6*A*a*c*m^2*n+11*A*a*c*m*n^2+12*A*a*c*m*n+6*A*b*c*n^2*x^n+3*B*a*c*m^2*x^n+6*B*a*c*n^2*x^n+A*a*d*m^3*x^n+A*b*c*m^3*x^n+3*A*b*d*m^2*(x^n)^2+3*A*b*d*n^2*(x^n)^2+B*a*c*m^3*x^n+3*B*a*d*m^2*(x^n)^2+3*B*a*d*n^2*(x^n)^2+3*B*b*c*m^2*(x^n)^2+3*B*b*c*n^2*(x^n)^2+3*A*a*d*m^2*x^n+6*A*a*d*n^2*x^n+3*A*b*c*m^2*x^n+B*b*d*m^3*(x^n)^3+A*b*d*m^3*(x^n)^2+B*a*d*m^3*(x^n)^2+B*b*c*m^3*(x^n)^2+3*B*b*d*m^2*(x^n)^3+2*B*b*d*n^2*(x^n)^3)/(m+1)/(m+n+1)/(m+2*n+1)/(m+3*n+1)*exp(1/2*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(e)+2*ln(x))*m)","C"
4,1,262,66,0.117000," ","int((e*x)^m*(A+B*x^n)*(d*x^n+c),x)","\frac{\left(A d \,m^{2} x^{n}+2 A d m n \,x^{n}+B c \,m^{2} x^{n}+2 B c m n \,x^{n}+B d \,m^{2} x^{2 n}+B d m n \,x^{2 n}+A c \,m^{2}+3 A c m n +2 A c \,n^{2}+2 A d m \,x^{n}+2 A d n \,x^{n}+2 B c m \,x^{n}+2 B c n \,x^{n}+2 B d m \,x^{2 n}+B d n \,x^{2 n}+2 A c m +3 A c n +A d \,x^{n}+B c \,x^{n}+B d \,x^{2 n}+A c \right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(e \right)+2 \ln \left(x \right)\right) m}{2}}}{\left(m +1\right) \left(m +n +1\right) \left(m +2 n +1\right)}"," ",0,"x*(B*d*m^2*(x^n)^2+B*d*m*n*(x^n)^2+A*d*m^2*x^n+2*A*d*m*n*x^n+B*c*m^2*x^n+2*B*c*m*n*x^n+2*B*(x^n)^2*d*m+B*(x^n)^2*d*n+A*c*m^2+3*A*c*m*n+2*A*c*n^2+2*A*x^n*d*m+2*A*x^n*d*n+2*B*x^n*c*m+2*B*x^n*c*n+d*(x^n)^2*B+2*A*c*m+3*A*c*n+d*x^n*A+c*B*x^n+A*c)/(m+1)/(m+n+1)/(m+2*n+1)*exp(1/2*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(e)+2*ln(x))*m)","C"
5,0,0,122,0.722000," ","int((e*x)^m*(A+B*x^n)*(d*x^n+c)/(b*x^n+a),x)","\int \frac{\left(B \,x^{n}+A \right) \left(d \,x^{n}+c \right) \left(e x \right)^{m}}{b \,x^{n}+a}\, dx"," ",0,"int((e*x)^m*(A+B*x^n)*(d*x^n+c)/(b*x^n+a),x)","F"
6,0,0,179,0.669000," ","int((e*x)^m*(B*x^n+A)*(d*x^n+c)/(b*x^n+a)^2,x)","\int \frac{\left(B \,x^{n}+A \right) \left(d \,x^{n}+c \right) \left(e x \right)^{m}}{\left(b \,x^{n}+a \right)^{2}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)*(d*x^n+c)/(b*x^n+a)^2,x)","F"
7,0,0,224,0.664000," ","int((e*x)^m*(B*x^n+A)*(d*x^n+c)/(b*x^n+a)^3,x)","\int \frac{\left(B \,x^{n}+A \right) \left(d \,x^{n}+c \right) \left(e x \right)^{m}}{\left(b \,x^{n}+a \right)^{3}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)*(d*x^n+c)/(b*x^n+a)^3,x)","F"
8,1,11389,318,0.226000," ","int((e*x)^m*(b*x^n+a)^3*(B*x^n+A)*(d*x^n+c)^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
9,1,5908,237,0.171000," ","int((e*x)^m*(b*x^n+a)^2*(B*x^n+A)*(d*x^n+c)^2,x)","\text{output too large to display}"," ",0,"result too large to display","C"
10,1,2410,160,0.144000," ","int((e*x)^m*(b*x^n+a)*(B*x^n+A)*(d*x^n+c)^2,x)","\frac{\left(2 A a c d \,m^{4} x^{n}+18 A a c d \,m^{3} n \,x^{n}+52 A a c d \,m^{2} n^{2} x^{n}+48 A a c d m \,n^{3} x^{n}+A a \,d^{2} m^{4} x^{2 n}+8 A a \,d^{2} m^{3} n \,x^{2 n}+19 A a \,d^{2} m^{2} n^{2} x^{2 n}+12 A a \,d^{2} m \,n^{3} x^{2 n}+A b \,c^{2} m^{4} x^{n}+9 A b \,c^{2} m^{3} n \,x^{n}+26 A b \,c^{2} m^{2} n^{2} x^{n}+24 A b \,c^{2} m \,n^{3} x^{n}+2 A b c d \,m^{4} x^{2 n}+16 A b c d \,m^{3} n \,x^{2 n}+38 A b c d \,m^{2} n^{2} x^{2 n}+24 A b c d m \,n^{3} x^{2 n}+A b \,d^{2} m^{4} x^{3 n}+7 A b \,d^{2} m^{3} n \,x^{3 n}+14 A b \,d^{2} m^{2} n^{2} x^{3 n}+8 A b \,d^{2} m \,n^{3} x^{3 n}+B a \,c^{2} m^{4} x^{n}+9 B a \,c^{2} m^{3} n \,x^{n}+26 B a \,c^{2} m^{2} n^{2} x^{n}+24 B a \,c^{2} m \,n^{3} x^{n}+2 B a c d \,m^{4} x^{2 n}+16 B a c d \,m^{3} n \,x^{2 n}+38 B a c d \,m^{2} n^{2} x^{2 n}+24 B a c d m \,n^{3} x^{2 n}+B a \,d^{2} m^{4} x^{3 n}+7 B a \,d^{2} m^{3} n \,x^{3 n}+14 B a \,d^{2} m^{2} n^{2} x^{3 n}+8 B a \,d^{2} m \,n^{3} x^{3 n}+B b \,c^{2} m^{4} x^{2 n}+8 B b \,c^{2} m^{3} n \,x^{2 n}+19 B b \,c^{2} m^{2} n^{2} x^{2 n}+12 B b \,c^{2} m \,n^{3} x^{2 n}+2 B b c d \,m^{4} x^{3 n}+14 B b c d \,m^{3} n \,x^{3 n}+28 B b c d \,m^{2} n^{2} x^{3 n}+16 B b c d m \,n^{3} x^{3 n}+B b \,d^{2} m^{4} x^{4 n}+6 B b \,d^{2} m^{3} n \,x^{4 n}+11 B b \,d^{2} m^{2} n^{2} x^{4 n}+6 B b \,d^{2} m \,n^{3} x^{4 n}+A a \,c^{2} m^{4}+10 A a \,c^{2} m^{3} n +35 A a \,c^{2} m^{2} n^{2}+50 A a \,c^{2} m \,n^{3}+24 A a \,c^{2} n^{4}+8 A a c d \,m^{3} x^{n}+54 A a c d \,m^{2} n \,x^{n}+104 A a c d m \,n^{2} x^{n}+48 A a c d \,n^{3} x^{n}+4 A a \,d^{2} m^{3} x^{2 n}+24 A a \,d^{2} m^{2} n \,x^{2 n}+38 A a \,d^{2} m \,n^{2} x^{2 n}+12 A a \,d^{2} n^{3} x^{2 n}+4 A b \,c^{2} m^{3} x^{n}+27 A b \,c^{2} m^{2} n \,x^{n}+52 A b \,c^{2} m \,n^{2} x^{n}+24 A b \,c^{2} n^{3} x^{n}+8 A b c d \,m^{3} x^{2 n}+48 A b c d \,m^{2} n \,x^{2 n}+76 A b c d m \,n^{2} x^{2 n}+24 A b c d \,n^{3} x^{2 n}+4 A b \,d^{2} m^{3} x^{3 n}+21 A b \,d^{2} m^{2} n \,x^{3 n}+28 A b \,d^{2} m \,n^{2} x^{3 n}+8 A b \,d^{2} n^{3} x^{3 n}+4 B a \,c^{2} m^{3} x^{n}+27 B a \,c^{2} m^{2} n \,x^{n}+52 B a \,c^{2} m \,n^{2} x^{n}+24 B a \,c^{2} n^{3} x^{n}+8 B a c d \,m^{3} x^{2 n}+48 B a c d \,m^{2} n \,x^{2 n}+76 B a c d m \,n^{2} x^{2 n}+24 B a c d \,n^{3} x^{2 n}+4 B a \,d^{2} m^{3} x^{3 n}+21 B a \,d^{2} m^{2} n \,x^{3 n}+28 B a \,d^{2} m \,n^{2} x^{3 n}+8 B a \,d^{2} n^{3} x^{3 n}+4 B b \,c^{2} m^{3} x^{2 n}+24 B b \,c^{2} m^{2} n \,x^{2 n}+38 B b \,c^{2} m \,n^{2} x^{2 n}+12 B b \,c^{2} n^{3} x^{2 n}+8 B b c d \,m^{3} x^{3 n}+42 B b c d \,m^{2} n \,x^{3 n}+56 B b c d m \,n^{2} x^{3 n}+16 B b c d \,n^{3} x^{3 n}+4 B b \,d^{2} m^{3} x^{4 n}+18 B b \,d^{2} m^{2} n \,x^{4 n}+22 B b \,d^{2} m \,n^{2} x^{4 n}+6 B b \,d^{2} n^{3} x^{4 n}+4 A a \,c^{2} m^{3}+30 A a \,c^{2} m^{2} n +70 A a \,c^{2} m \,n^{2}+50 A a \,c^{2} n^{3}+12 A a c d \,m^{2} x^{n}+54 A a c d m n \,x^{n}+52 A a c d \,n^{2} x^{n}+6 A a \,d^{2} m^{2} x^{2 n}+24 A a \,d^{2} m n \,x^{2 n}+19 A a \,d^{2} n^{2} x^{2 n}+6 A b \,c^{2} m^{2} x^{n}+27 A b \,c^{2} m n \,x^{n}+26 A b \,c^{2} n^{2} x^{n}+12 A b c d \,m^{2} x^{2 n}+48 A b c d m n \,x^{2 n}+38 A b c d \,n^{2} x^{2 n}+6 A b \,d^{2} m^{2} x^{3 n}+21 A b \,d^{2} m n \,x^{3 n}+14 A b \,d^{2} n^{2} x^{3 n}+6 B a \,c^{2} m^{2} x^{n}+27 B a \,c^{2} m n \,x^{n}+26 B a \,c^{2} n^{2} x^{n}+12 B a c d \,m^{2} x^{2 n}+48 B a c d m n \,x^{2 n}+38 B a c d \,n^{2} x^{2 n}+6 B a \,d^{2} m^{2} x^{3 n}+21 B a \,d^{2} m n \,x^{3 n}+14 B a \,d^{2} n^{2} x^{3 n}+6 B b \,c^{2} m^{2} x^{2 n}+24 B b \,c^{2} m n \,x^{2 n}+19 B b \,c^{2} n^{2} x^{2 n}+12 B b c d \,m^{2} x^{3 n}+42 B b c d m n \,x^{3 n}+28 B b c d \,n^{2} x^{3 n}+6 B b \,d^{2} m^{2} x^{4 n}+18 B b \,d^{2} m n \,x^{4 n}+11 B b \,d^{2} n^{2} x^{4 n}+6 A a \,c^{2} m^{2}+30 A a \,c^{2} m n +35 A a \,c^{2} n^{2}+8 A a c d m \,x^{n}+18 A a c d n \,x^{n}+4 A a \,d^{2} m \,x^{2 n}+8 A a \,d^{2} n \,x^{2 n}+4 A b \,c^{2} m \,x^{n}+9 A b \,c^{2} n \,x^{n}+8 A b c d m \,x^{2 n}+16 A b c d n \,x^{2 n}+4 A b \,d^{2} m \,x^{3 n}+7 A b \,d^{2} n \,x^{3 n}+4 B a \,c^{2} m \,x^{n}+9 B a \,c^{2} n \,x^{n}+8 B a c d m \,x^{2 n}+16 B a c d n \,x^{2 n}+4 B a \,d^{2} m \,x^{3 n}+7 B a \,d^{2} n \,x^{3 n}+4 B b \,c^{2} m \,x^{2 n}+8 B b \,c^{2} n \,x^{2 n}+8 B b c d m \,x^{3 n}+14 B b c d n \,x^{3 n}+4 B b \,d^{2} m \,x^{4 n}+6 B b \,d^{2} n \,x^{4 n}+4 A a \,c^{2} m +10 A a \,c^{2} n +2 A a c d \,x^{n}+A a \,d^{2} x^{2 n}+A b \,c^{2} x^{n}+2 A b c d \,x^{2 n}+A b \,d^{2} x^{3 n}+B a \,c^{2} x^{n}+2 B a c d \,x^{2 n}+B a \,d^{2} x^{3 n}+B b \,c^{2} x^{2 n}+2 B b c d \,x^{3 n}+B b \,d^{2} x^{4 n}+A a \,c^{2}\right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(e \right)+2 \ln \left(x \right)\right) m}{2}}}{\left(m +1\right) \left(m +n +1\right) \left(m +2 n +1\right) \left(m +3 n +1\right) \left(m +4 n +1\right)}"," ",0,"x*(28*A*b*d^2*m*n^2*(x^n)^3+18*B*b*d^2*m^2*n*(x^n)^4+22*B*b*d^2*m*n^2*(x^n)^4+8*A*a*d^2*m^3*n*(x^n)^2+2*B*a*c*d*m^4*(x^n)^2+21*B*a*d^2*m^2*n*(x^n)^3+28*B*a*d^2*m*n^2*(x^n)^3+8*B*b*c^2*m^3*n*(x^n)^2+19*B*b*c^2*m^2*n^2*(x^n)^2+12*B*b*c^2*m*n^3*(x^n)^2+8*B*b*c*d*m^3*(x^n)^3+16*B*b*c*d*n^3*(x^n)^3+18*B*b*d^2*m*n*(x^n)^4+21*A*b*d^2*m^2*n*(x^n)^3+24*A*a*d^2*m^2*n*(x^n)^2+38*A*a*d^2*m*n^2*(x^n)^2+9*A*b*c^2*m^3*n*x^n+26*A*b*c^2*m^2*n^2*x^n+24*A*b*c^2*m*n^3*x^n+8*A*b*c*d*m^3*(x^n)^2+24*A*b*c*d*n^3*(x^n)^2+21*A*b*d^2*m*n*(x^n)^3+9*B*a*c^2*m^3*n*x^n+26*B*a*c^2*m^2*n^2*x^n+24*B*a*c^2*m*n^3*x^n+8*A*a*c*d*m^3*x^n+48*A*a*c*d*n^3*x^n+24*A*a*d^2*m*n*(x^n)^2+27*A*b*c^2*m^2*n*x^n+52*A*b*c^2*m*n^2*x^n+8*B*a*c*d*m^3*(x^n)^2+24*B*a*c*d*n^3*(x^n)^2+21*B*a*d^2*m*n*(x^n)^3+24*B*b*c^2*m^2*n*(x^n)^2+38*B*b*c^2*m*n^2*(x^n)^2+12*B*b*c*d*m^2*(x^n)^3+2*A*a*c*d*m^4*x^n+8*B*b*c*d*(x^n)^3*m+14*B*b*c*d*(x^n)^3*n+12*A*b*c*d*m^2*(x^n)^2+38*A*b*c*d*n^2*(x^n)^2+27*B*a*c^2*m^2*n*x^n+52*B*a*c^2*m*n^2*x^n+12*B*a*c*d*m^2*(x^n)^2+38*B*a*c*d*n^2*(x^n)^2+24*B*b*c^2*m*n*(x^n)^2+28*B*b*c*d*n^2*(x^n)^3+16*B*a*c*d*(x^n)^2*n+8*A*a*c*d*x^n*m+18*A*a*c*d*x^n*n+12*A*a*c*d*m^2*x^n+52*A*a*c*d*n^2*x^n+27*A*b*c^2*m*n*x^n+8*A*b*c*d*(x^n)^2*m+16*A*b*c*d*(x^n)^2*n+27*B*a*c^2*m*n*x^n+8*B*a*c*d*(x^n)^2*m+B*b*c^2*(x^n)^2+A*b*c^2*x^n+B*a*c^2*x^n+b*B*d^2*(x^n)^4+A*b*d^2*(x^n)^3+B*a*d^2*(x^n)^3+A*a*d^2*(x^n)^2+a*A*c^2+6*A*a*c^2*m^2+35*A*a*c^2*n^2+A*a*c^2*m^4+4*A*a*c^2*m^3+50*A*a*c^2*n^3+24*A*a*c^2*n^4+4*a*A*c^2*m+10*a*A*c^2*n+38*A*b*c*d*m^2*n^2*(x^n)^2+24*A*b*c*d*m*n^3*(x^n)^2+16*B*a*c*d*m^3*n*(x^n)^2+24*B*a*c*d*m*n^3*(x^n)^2+42*B*b*c*d*m^2*n*(x^n)^3+56*B*b*c*d*m*n^2*(x^n)^3+18*A*a*c*d*m^3*n*x^n+52*A*a*c*d*m^2*n^2*x^n+48*A*a*c*d*m*n^3*x^n+4*B*a*d^2*m^3*(x^n)^3+38*B*a*c*d*m^2*n^2*(x^n)^2+48*B*a*c*d*m*n*(x^n)^2+54*A*a*c*d*m*n*x^n+16*B*b*c*d*m*n^3*(x^n)^3+16*A*b*c*d*m^3*n*(x^n)^2+42*B*b*c*d*m*n*(x^n)^3+54*A*a*c*d*m^2*n*x^n+104*A*a*c*d*m*n^2*x^n+14*B*b*c*d*m^3*n*(x^n)^3+28*B*b*c*d*m^2*n^2*(x^n)^3+48*A*b*c*d*m^2*n*(x^n)^2+76*A*b*c*d*m*n^2*(x^n)^2+48*B*a*c*d*m^2*n*(x^n)^2+76*B*a*c*d*m*n^2*(x^n)^2+48*A*b*c*d*m*n*(x^n)^2+14*A*b*d^2*n^2*(x^n)^3+B*a*c^2*m^4*x^n+6*B*a*d^2*m^2*(x^n)^3+14*B*a*d^2*n^2*(x^n)^3+4*B*b*c^2*m^3*(x^n)^2+12*B*b*c^2*n^3*(x^n)^2+4*m*b*B*d^2*(x^n)^4+6*b*B*d^2*(x^n)^4*n+8*B*a*d^2*m*n^3*(x^n)^3+2*B*b*c*d*m^4*(x^n)^3+14*A*b*d^2*m^2*n^2*(x^n)^3+7*A*b*d^2*m^3*n*(x^n)^3+6*B*b*d^2*m*n^3*(x^n)^4+6*B*b*d^2*m^3*n*(x^n)^4+11*B*b*d^2*m^2*n^2*(x^n)^4+19*A*a*d^2*m^2*n^2*(x^n)^2+12*A*a*d^2*m*n^3*(x^n)^2+2*A*b*c*d*m^4*(x^n)^2+8*A*b*d^2*m*n^3*(x^n)^3+7*B*a*d^2*m^3*n*(x^n)^3+14*B*a*d^2*m^2*n^2*(x^n)^3+8*B*a*d^2*n^3*(x^n)^3+6*A*b*c^2*m^2*x^n+26*A*b*c^2*n^2*x^n+6*B*b*c^2*m^2*(x^n)^2+19*B*b*c^2*n^2*(x^n)^2+4*A*a*d^2*(x^n)^2*m+8*A*a*d^2*(x^n)^2*n+70*A*a*c^2*m*n^2+30*A*a*c^2*m*n+2*(x^n)^3*b*B*c*d+2*(x^n)^2*B*a*c*d+2*x^n*a*A*c*d+2*(x^n)^2*A*b*c*d+10*A*a*c^2*m^3*n+35*A*a*c^2*m^2*n^2+50*A*a*c^2*m*n^3+30*A*a*c^2*m^2*n+11*B*b*d^2*n^2*(x^n)^4+4*A*a*d^2*m^3*(x^n)^2+12*A*a*d^2*n^3*(x^n)^2+A*b*c^2*m^4*x^n+6*A*b*d^2*m^2*(x^n)^3+B*b*c^2*m^4*(x^n)^2+6*B*b*d^2*m^2*(x^n)^4+24*A*b*c^2*n^3*x^n+4*A*b*d^2*(x^n)^3*m+7*A*b*d^2*(x^n)^3*n+4*B*a*c^2*m^3*x^n+24*B*a*c^2*n^3*x^n+4*B*a*d^2*(x^n)^3*m+7*B*a*d^2*(x^n)^3*n+8*A*b*d^2*n^3*(x^n)^3+B*b*d^2*m^4*(x^n)^4+A*b*d^2*m^4*(x^n)^3+B*a*d^2*m^4*(x^n)^3+4*B*b*d^2*m^3*(x^n)^4+6*B*b*d^2*n^3*(x^n)^4+A*a*d^2*m^4*(x^n)^2+4*A*b*d^2*m^3*(x^n)^3+4*A*b*c^2*x^n*m+9*A*b*c^2*x^n*n+4*B*a*c^2*x^n*m+9*B*a*c^2*x^n*n+6*A*a*d^2*m^2*(x^n)^2+19*A*a*d^2*n^2*(x^n)^2+4*A*b*c^2*m^3*x^n+4*B*b*c^2*(x^n)^2*m+8*B*b*c^2*(x^n)^2*n+6*B*a*c^2*m^2*x^n+26*B*a*c^2*n^2*x^n)/(m+1)/(m+n+1)/(m+2*n+1)/(m+3*n+1)/(m+4*n+1)*exp(1/2*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(e)+2*ln(x))*m)","C"
11,1,732,102,0.109000," ","int((e*x)^m*(B*x^n+A)*(d*x^n+c)^2,x)","\frac{\left(2 A c d \,m^{3} x^{n}+10 A c d \,m^{2} n \,x^{n}+12 A c d m \,n^{2} x^{n}+A \,d^{2} m^{3} x^{2 n}+4 A \,d^{2} m^{2} n \,x^{2 n}+3 A \,d^{2} m \,n^{2} x^{2 n}+B \,c^{2} m^{3} x^{n}+5 B \,c^{2} m^{2} n \,x^{n}+6 B \,c^{2} m \,n^{2} x^{n}+2 B c d \,m^{3} x^{2 n}+8 B c d \,m^{2} n \,x^{2 n}+6 B c d m \,n^{2} x^{2 n}+B \,d^{2} m^{3} x^{3 n}+3 B \,d^{2} m^{2} n \,x^{3 n}+2 B \,d^{2} m \,n^{2} x^{3 n}+A \,c^{2} m^{3}+6 A \,c^{2} m^{2} n +11 A \,c^{2} m \,n^{2}+6 A \,c^{2} n^{3}+6 A c d \,m^{2} x^{n}+20 A c d m n \,x^{n}+12 A c d \,n^{2} x^{n}+3 A \,d^{2} m^{2} x^{2 n}+8 A \,d^{2} m n \,x^{2 n}+3 A \,d^{2} n^{2} x^{2 n}+3 B \,c^{2} m^{2} x^{n}+10 B \,c^{2} m n \,x^{n}+6 B \,c^{2} n^{2} x^{n}+6 B c d \,m^{2} x^{2 n}+16 B c d m n \,x^{2 n}+6 B c d \,n^{2} x^{2 n}+3 B \,d^{2} m^{2} x^{3 n}+6 B \,d^{2} m n \,x^{3 n}+2 B \,d^{2} n^{2} x^{3 n}+3 A \,c^{2} m^{2}+12 A \,c^{2} m n +11 A \,c^{2} n^{2}+6 A c d m \,x^{n}+10 A c d n \,x^{n}+3 A \,d^{2} m \,x^{2 n}+4 A \,d^{2} n \,x^{2 n}+3 B \,c^{2} m \,x^{n}+5 B \,c^{2} n \,x^{n}+6 B c d m \,x^{2 n}+8 B c d n \,x^{2 n}+3 B \,d^{2} m \,x^{3 n}+3 B \,d^{2} n \,x^{3 n}+3 A \,c^{2} m +6 A \,c^{2} n +2 A c d \,x^{n}+A \,d^{2} x^{2 n}+B \,c^{2} x^{n}+2 B c d \,x^{2 n}+B \,d^{2} x^{3 n}+A \,c^{2}\right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(e \right)+2 \ln \left(x \right)\right) m}{2}}}{\left(m +1\right) \left(m +n +1\right) \left(m +2 n +1\right) \left(m +3 n +1\right)}"," ",0,"x*(2*B*c*d*m^3*(x^n)^2+6*B*d^2*m*n*(x^n)^3+2*B*d^2*n^2*(x^n)^3+A*d^2*m^3*(x^n)^2+3*B*d^2*m^2*(x^n)^3+B*d^2*m^3*(x^n)^3+B*c^2*m^3*x^n+3*A*d^2*(x^n)^2*m+3*A*d^2*m^2*(x^n)^2+3*A*d^2*n^2*(x^n)^2+3*m*B*d^2*(x^n)^3+3*B*d^2*(x^n)^3*n+2*B*c*d*(x^n)^2+2*A*c*d*x^n+3*B*c^2*m^2*x^n+6*B*c^2*n^2*x^n+3*B*c^2*x^n*m+5*B*c^2*x^n*n+4*A*d^2*(x^n)^2*n+6*A*c^2*m^2*n+11*A*c^2*m*n^2+12*A*c^2*m*n+A*c^2+6*B*c*d*m*n^2*(x^n)^2+10*A*c*d*m^2*n*x^n+12*A*c*d*m*n^2*x^n+16*B*c*d*m*n*(x^n)^2+20*A*c*d*m*n*x^n+8*B*c*d*m^2*n*(x^n)^2+6*A*c*d*m^2*x^n+12*A*c*d*n^2*x^n+10*B*c^2*m*n*x^n+6*B*c*d*(x^n)^2*m+8*B*c*d*(x^n)^2*n+6*A*c*d*x^n*m+10*A*c*d*x^n*n+3*B*d^2*m^2*n*(x^n)^3+2*B*d^2*m*n^2*(x^n)^3+3*A*c^2*m+6*A*c^2*n+6*A*c^2*n^3+3*A*c^2*m^2+11*A*c^2*n^2+x^n*B*c^2+(x^n)^3*B*d^2+A*c^2*m^3+(x^n)^2*A*d^2+4*A*d^2*m^2*n*(x^n)^2+3*A*d^2*m*n^2*(x^n)^2+2*A*c*d*m^3*x^n+8*A*d^2*m*n*(x^n)^2+5*B*c^2*m^2*n*x^n+6*B*c^2*m*n^2*x^n+6*B*c*d*m^2*(x^n)^2+6*B*c*d*n^2*(x^n)^2)/(m+1)/(m+n+1)/(m+2*n+1)/(m+3*n+1)*exp(1/2*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(e)+2*ln(x))*m)","C"
12,0,0,187,0.857000," ","int((e*x)^m*(B*x^n+A)*(d*x^n+c)^2/(b*x^n+a),x)","\int \frac{\left(B \,x^{n}+A \right) \left(d \,x^{n}+c \right)^{2} \left(e x \right)^{m}}{b \,x^{n}+a}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)*(d*x^n+c)^2/(b*x^n+a),x)","F"
13,0,0,270,0.821000," ","int((e*x)^m*(B*x^n+A)*(d*x^n+c)^2/(b*x^n+a)^2,x)","\int \frac{\left(B \,x^{n}+A \right) \left(d \,x^{n}+c \right)^{2} \left(e x \right)^{m}}{\left(b \,x^{n}+a \right)^{2}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)*(d*x^n+c)^2/(b*x^n+a)^2,x)","F"
14,0,0,316,0.813000," ","int((e*x)^m*(B*x^n+A)*(d*x^n+c)^2/(b*x^n+a)^3,x)","\int \frac{\left(B \,x^{n}+A \right) \left(d \,x^{n}+c \right)^{2} \left(e x \right)^{m}}{\left(b \,x^{n}+a \right)^{3}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)*(d*x^n+c)^2/(b*x^n+a)^3,x)","F"
15,1,20937,410,0.344000," ","int((e*x)^m*(b*x^n+a)^3*(B*x^n+A)*(d*x^n+c)^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
16,1,11389,310,0.249000," ","int((e*x)^m*(b*x^n+a)^2*(B*x^n+A)*(d*x^n+c)^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
17,1,4972,210,0.178000," ","int((e*x)^m*(b*x^n+a)*(B*x^n+A)*(d*x^n+c)^3,x)","\text{output too large to display}"," ",0,"x*(44*B*a*d^3*m^3*n*(x^n)^4+123*B*a*d^3*m^2*n^2*(x^n)^4+122*B*a*d^3*m*n^3*(x^n)^4+3*B*b*c^2*d*m^5*(x^n)^3+15*B*b*c*d^2*m^4*(x^n)^4+A*a*d^3*(x^n)^3+B*b*c^3*(x^n)^2+A*b*c^3*x^n+B*a*c^3*x^n+b*B*d^3*(x^n)^5+A*b*d^3*(x^n)^4+B*a*d^3*(x^n)^4+10*A*a*c^3*m^2+85*A*a*c^3*n^2+120*A*a*c^3*n^5+A*a*c^3*m^5+5*A*a*c^3*m^4+274*A*a*c^3*n^4+10*A*a*c^3*m^3+225*A*a*c^3*n^3+a*A*c^3+5*a*A*c^3*m+15*a*A*c^3*n+40*A*a*d^3*m*n^4*(x^n)^3+3*A*b*c*d^2*m^5*(x^n)^3+44*A*b*d^3*m^3*n*(x^n)^4+123*A*b*d^3*m^2*n^2*(x^n)^4+122*A*b*d^3*m*n^3*(x^n)^4+3*B*a*c*d^2*m^5*(x^n)^3+84*B*a*c^3*m^2*n*x^n+213*B*a*c^3*m*n^2*x^n+30*B*a*c^2*d*m^2*(x^n)^2+177*B*a*c^2*d*n^2*(x^n)^2+15*B*a*c*d^2*(x^n)^3*m+36*B*a*c*d^2*(x^n)^3*n+52*B*b*c^3*m*n*(x^n)^2+15*B*b*c^2*d*(x^n)^3*m+36*B*b*c^2*d*(x^n)^3*n+30*A*a*c^2*d*m^2*x^n+213*A*a*c^2*d*n^2*x^n+15*A*a*c*d^2*(x^n)^2*m+90*A*a*c^3*m^2*n+66*B*a*d^3*m^2*n*(x^n)^4+123*B*a*d^3*m*n^2*(x^n)^4+13*B*b*c^3*m^4*n*(x^n)^2+59*B*b*c^3*m^3*n^2*(x^n)^2+107*B*b*c^3*m^2*n^3*(x^n)^2+60*B*b*c^3*m*n^4*(x^n)^2+15*B*b*c^2*d*m^4*(x^n)^3+120*B*b*c^2*d*n^4*(x^n)^3+30*B*b*c*d^2*m^3*(x^n)^4+11*B*a*d^3*m^4*n*(x^n)^4+41*B*a*d^3*m^3*n^2*(x^n)^4+39*A*a*c*d^2*(x^n)^2*n+56*A*b*c^3*m*n*x^n+15*A*b*c^2*d*(x^n)^2*m+39*A*b*c^2*d*(x^n)^2*n+56*B*a*c^3*m*n*x^n+15*B*a*c^2*d*(x^n)^2*m+39*B*a*c^2*d*(x^n)^2*n+213*B*a*c^3*m^2*n^2*x^n+308*B*a*c^3*m*n^3*x^n+30*B*a*c^2*d*m^3*(x^n)^2+321*B*a*c^2*d*n^3*(x^n)^2+30*B*a*c*d^2*m^2*(x^n)^3+44*B*a*d^3*m*n*(x^n)^4+52*B*b*c^3*m^3*n*(x^n)^2+177*B*b*c^3*m^2*n^2*(x^n)^2+214*B*b*c^3*m*n^3*(x^n)^2+30*B*b*c^2*d*m^3*(x^n)^3+234*B*b*c^2*d*n^3*(x^n)^3+30*B*b*c*d^2*m^2*(x^n)^4+123*B*b*c*d^2*n^2*(x^n)^4+15*A*a*c^2*d*m^4*x^n+360*A*a*c^2*d*n^4*x^n+30*A*a*c*d^2*m^3*(x^n)^2+15*A*a*c^2*d*x^n*m+42*A*a*c^2*d*x^n*n+15*A*b*c*d^2*(x^n)^3*m+36*A*b*c*d^2*(x^n)^3*n+3*A*b*c^2*d*m^5*(x^n)^2+15*A*b*c*d^2*m^4*(x^n)^3+120*A*b*c*d^2*n^4*(x^n)^3+66*A*b*d^3*m^2*n*(x^n)^4+123*A*b*d^3*m*n^2*(x^n)^4+3*B*a*c^2*d*m^5*(x^n)^2+15*B*a*c*d^2*m^4*(x^n)^3+120*B*a*c*d^2*n^4*(x^n)^3+90*B*b*c*d^2*n^4*(x^n)^4+60*B*b*d^3*m^2*n*(x^n)^5+105*B*b*d^3*m*n^2*(x^n)^5+3*A*a*c*d^2*m^5*(x^n)^2+48*A*a*d^3*m^3*n*(x^n)^3+10*B*b*d^3*m^4*n*(x^n)^5+35*B*b*d^3*m^3*n^2*(x^n)^5+147*B*a*c*d^2*n^2*(x^n)^3+78*B*b*c^3*m^2*n*(x^n)^2+177*B*b*c^3*m*n^2*(x^n)^2+30*B*b*c^2*d*m^2*(x^n)^3+147*B*b*c^2*d*n^2*(x^n)^3+15*B*b*c*d^2*(x^n)^4*m+33*B*b*c*d^2*(x^n)^4*n+30*A*a*c^2*d*m^3*x^n+462*A*a*c^2*d*n^3*x^n+321*A*a*c*d^2*n^3*(x^n)^2+48*A*a*d^3*m*n*(x^n)^3+56*A*b*c^3*m^3*n*x^n+213*A*b*c^3*m^2*n^2*x^n+308*A*b*c^3*m*n^3*x^n+30*A*b*c^2*d*m^3*(x^n)^2+321*A*b*c^2*d*n^3*(x^n)^2+30*A*b*c*d^2*m^2*(x^n)^3+255*A*a*c^3*m*n^2+60*A*a*c^3*m*n+61*B*a*d^3*m^2*n^3*(x^n)^4+30*B*a*d^3*m*n^4*(x^n)^4+3*B*b*c*d^2*m^5*(x^n)^4+40*B*b*d^3*m^3*n*(x^n)^5+105*B*b*d^3*m^2*n^2*(x^n)^5+100*B*b*d^3*m*n^3*(x^n)^5+12*A*a*d^3*m^4*n*(x^n)^3+49*A*a*d^3*m^3*n^2*(x^n)^3+78*A*a*d^3*m^2*n^3*(x^n)^3+50*B*b*d^3*m^2*n^3*(x^n)^5+24*B*b*d^3*m*n^4*(x^n)^5+11*A*b*d^3*m^4*n*(x^n)^4+41*A*b*d^3*m^3*n^2*(x^n)^4+61*A*b*d^3*m^2*n^3*(x^n)^4+30*A*a*c*d^2*m^2*(x^n)^2+177*A*a*c*d^2*n^2*(x^n)^2+84*A*b*c^3*m^2*n*x^n+213*A*b*c^3*m*n^2*x^n+30*A*b*c^2*d*m^2*(x^n)^2+177*A*b*c^2*d*n^2*(x^n)^2+15*B*a*c^2*d*m^4*(x^n)^2+180*B*a*c^2*d*n^4*(x^n)^2+30*B*a*c*d^2*m^3*(x^n)^3+234*B*a*c*d^2*n^3*(x^n)^3+24*B*b*d^3*n^4*(x^n)^5+A*b*c^3*m^5*x^n+10*A*b*d^3*m^2*(x^n)^4+41*A*b*d^3*n^2*(x^n)^4+B*a*c^3*m^5*x^n+10*B*a*d^3*m^2*(x^n)^4+41*B*a*d^3*n^2*(x^n)^4+5*B*b*c^3*m^4*(x^n)^2+60*B*b*c^3*n^4*(x^n)^2+5*m*b*B*d^3*(x^n)^5+147*A*b*c*d^2*n^2*(x^n)^3+56*B*a*c^3*m^3*n*x^n+183*B*b*c*d^2*n^3*(x^n)^4+40*B*b*d^3*m*n*(x^n)^5+3*A*a*c^2*d*m^5*x^n+15*A*a*c*d^2*m^4*(x^n)^2+180*A*a*c*d^2*n^4*(x^n)^2+72*A*a*d^3*m^2*n*(x^n)^3+147*A*a*d^3*m*n^2*(x^n)^3+14*A*b*c^3*m^4*n*x^n+71*A*b*c^3*m^3*n^2*x^n+154*A*b*c^3*m^2*n^3*x^n+120*A*b*c^3*m*n^4*x^n+15*A*b*c^2*d*m^4*(x^n)^2+180*A*b*c^2*d*n^4*(x^n)^2+30*A*b*c*d^2*m^3*(x^n)^3+234*A*b*c*d^2*n^3*(x^n)^3+44*A*b*d^3*m*n*(x^n)^4+14*B*a*c^3*m^4*n*x^n+71*B*a*c^3*m^3*n^2*x^n+154*B*a*c^3*m^2*n^3*x^n+120*B*a*c^3*m*n^4*x^n+147*A*a*d^3*m^2*n^2*(x^n)^3+156*A*a*d^3*m*n^3*(x^n)^3+50*B*b*d^3*n^3*(x^n)^5+5*A*a*d^3*m^4*(x^n)^3+154*B*a*c^3*n^3*x^n+10*B*b*c^3*m^2*(x^n)^2+59*B*b*c^3*n^2*(x^n)^2+10*A*b*c^3*m^2*x^n+71*A*b*c^3*n^2*x^n+10*B*a*c^3*m^2*x^n+30*A*b*d^3*m*n^4*(x^n)^4+A*a*d^3*m^5*(x^n)^3+5*A*b*d^3*m^4*(x^n)^4+30*A*b*d^3*n^4*(x^n)^4+5*B*a*d^3*m^4*(x^n)^4+30*B*a*d^3*n^4*(x^n)^4+10*B*b*d^3*m^3*(x^n)^5+B*b*d^3*m^5*(x^n)^5+A*b*d^3*m^5*(x^n)^4+B*a*d^3*m^5*(x^n)^4+5*B*b*d^3*m^4*(x^n)^5+5*A*a*d^3*(x^n)^3*m+12*A*a*d^3*(x^n)^3*n+10*A*b*c^3*m^3*x^n+154*A*b*c^3*n^3*x^n+10*B*a*c^3*m^3*x^n+10*B*b*d^3*m^2*(x^n)^5+35*B*b*d^3*n^2*(x^n)^5+10*A*a*d^3*m^3*(x^n)^3+78*A*a*d^3*n^3*(x^n)^3+40*A*a*d^3*n^4*(x^n)^3+10*A*b*d^3*m^3*(x^n)^4+61*A*b*d^3*n^3*(x^n)^4+60*A*a*c^3*m^3*n+255*A*a*c^3*m^2*n^2+450*A*a*c^3*m*n^3+15*A*a*c^3*m^4*n+85*A*a*c^3*m^3*n^2+225*A*a*c^3*m^2*n^3+274*A*a*c^3*m*n^4+10*B*a*d^3*m^3*(x^n)^4+61*B*a*d^3*n^3*(x^n)^4+B*b*c^3*m^5*(x^n)^2+3*(x^n)^2*d*c^2*A*b+3*(x^n)^2*d*c^2*B*a+3*(x^n)^4*b*B*c*d^2+10*b*B*d^3*(x^n)^5*n+10*A*a*d^3*m^2*(x^n)^3+49*A*a*d^3*n^2*(x^n)^3+5*A*b*c^3*m^4*x^n+120*A*b*c^3*n^4*x^n+5*A*b*d^3*(x^n)^4*m+11*A*b*d^3*(x^n)^4*n+5*B*a*c^3*m^4*x^n+120*B*a*c^3*n^4*x^n+5*B*a*d^3*(x^n)^4*m+11*B*a*d^3*(x^n)^4*n+10*B*b*c^3*m^3*(x^n)^2+107*B*b*c^3*n^3*(x^n)^2+3*x^n*a*A*c^2*d+3*(x^n)^3*A*b*c*d^2+3*(x^n)^3*B*a*c*d^2+3*(x^n)^3*b*B*c^2*d+3*(x^n)^2*a*A*c*d^2+71*B*a*c^3*n^2*x^n+5*B*b*c^3*(x^n)^2*m+13*B*b*c^3*(x^n)^2*n+5*A*b*c^3*x^n*m+14*A*b*c^3*x^n*n+5*B*a*c^3*x^n*m+14*B*a*c^3*x^n*n+441*A*b*c*d^2*m^2*n^2*(x^n)^3+39*A*b*c^2*d*m^4*n*(x^n)^2+177*A*b*c^2*d*m^3*n^2*(x^n)^2+321*A*b*c^2*d*m^2*n^3*(x^n)^2+180*A*b*c^2*d*m*n^4*(x^n)^2+144*A*b*c*d^2*m^3*n*(x^n)^3+639*A*a*c^2*d*m^2*n^2*x^n+924*A*a*c^2*d*m*n^3*x^n+234*A*a*c*d^2*m^2*n*(x^n)^2+531*A*a*c*d^2*m*n^2*(x^n)^2+177*A*a*c*d^2*m^3*n^2*(x^n)^2+321*A*a*c*d^2*m^2*n^3*(x^n)^2+180*A*a*c*d^2*m*n^4*(x^n)^2+144*B*a*c*d^2*m*n*(x^n)^3+144*B*b*c^2*d*m*n*(x^n)^3+252*A*a*c^2*d*m^2*n*x^n+639*A*a*c^2*d*m*n^2*x^n+441*B*b*c^2*d*m*n^2*(x^n)^3+132*B*b*c*d^2*m*n*(x^n)^4+168*A*a*c^2*d*m^3*n*x^n+468*B*b*c^2*d*m*n^3*(x^n)^3+234*A*b*c^2*d*m^2*n*(x^n)^2+531*A*b*c^2*d*m*n^2*(x^n)^2+144*A*b*c*d^2*m*n*(x^n)^3+234*B*a*c^2*d*m^2*n*(x^n)^2+531*B*a*c^2*d*m*n^2*(x^n)^2+180*B*a*c^2*d*m*n^4*(x^n)^2+144*B*a*c*d^2*m^3*n*(x^n)^3+441*B*a*c*d^2*m^2*n^2*(x^n)^3+468*B*a*c*d^2*m*n^3*(x^n)^3+144*B*b*c^2*d*m^3*n*(x^n)^3+441*B*b*c^2*d*m^2*n^2*(x^n)^3+360*A*a*c^2*d*m*n^4*x^n+156*A*a*c*d^2*m^3*n*(x^n)^2+468*A*b*c*d^2*m*n^3*(x^n)^3+39*B*a*c^2*d*m^4*n*(x^n)^2+177*B*a*c^2*d*m^3*n^2*(x^n)^2+321*B*a*c^2*d*m^2*n^3*(x^n)^2+366*B*b*c*d^2*m*n^3*(x^n)^4+39*A*a*c*d^2*m^4*n*(x^n)^2+120*B*a*c*d^2*m*n^4*(x^n)^3+36*B*b*c^2*d*m^4*n*(x^n)^3+147*B*b*c^2*d*m^3*n^2*(x^n)^3+234*B*b*c^2*d*m^2*n^3*(x^n)^3+120*B*b*c^2*d*m*n^4*(x^n)^3+132*B*b*c*d^2*m^3*n*(x^n)^4+369*B*b*c*d^2*m^2*n^2*(x^n)^4+168*A*a*c^2*d*m*n*x^n+147*A*b*c*d^2*m^3*n^2*(x^n)^3+234*A*b*c*d^2*m^2*n^3*(x^n)^3+120*A*b*c*d^2*m*n^4*(x^n)^3+36*B*a*c*d^2*m^4*n*(x^n)^3+147*B*a*c*d^2*m^3*n^2*(x^n)^3+234*B*a*c*d^2*m^2*n^3*(x^n)^3+216*B*a*c*d^2*m^2*n*(x^n)^3+441*B*a*c*d^2*m*n^2*(x^n)^3+216*B*b*c^2*d*m^2*n*(x^n)^3+531*A*a*c*d^2*m^2*n^2*(x^n)^2+156*A*a*c*d^2*m*n*(x^n)^2+156*A*b*c^2*d*m*n*(x^n)^2+156*B*a*c^2*d*m*n*(x^n)^2+531*A*b*c^2*d*m^2*n^2*(x^n)^2+642*A*b*c^2*d*m*n^3*(x^n)^2+216*A*b*c*d^2*m^2*n*(x^n)^3+441*A*b*c*d^2*m*n^2*(x^n)^3+156*B*a*c^2*d*m^3*n*(x^n)^2+531*B*a*c^2*d*m^2*n^2*(x^n)^2+642*B*a*c^2*d*m*n^3*(x^n)^2+198*B*b*c*d^2*m^2*n*(x^n)^4+369*B*b*c*d^2*m*n^2*(x^n)^4+42*A*a*c^2*d*m^4*n*x^n+213*A*a*c^2*d*m^3*n^2*x^n+462*A*a*c^2*d*m^2*n^3*x^n+642*A*a*c*d^2*m*n^3*(x^n)^2+156*A*b*c^2*d*m^3*n*(x^n)^2+33*B*b*c*d^2*m^4*n*(x^n)^4+123*B*b*c*d^2*m^3*n^2*(x^n)^4+183*B*b*c*d^2*m^2*n^3*(x^n)^4+90*B*b*c*d^2*m*n^4*(x^n)^4+36*A*b*c*d^2*m^4*n*(x^n)^3)/(m+1)/(m+n+1)/(m+2*n+1)/(m+3*n+1)/(m+4*n+1)/(1+m+5*n)*exp(1/2*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(e)+2*ln(x))*m)","C"
18,1,1609,137,0.126000," ","int((e*x)^m*(B*x^n+A)*(d*x^n+c)^3,x)","\frac{\left(3 A \,c^{2} d \,m^{4} x^{n}+27 A \,c^{2} d \,m^{3} n \,x^{n}+78 A \,c^{2} d \,m^{2} n^{2} x^{n}+72 A \,c^{2} d m \,n^{3} x^{n}+3 A c \,d^{2} m^{4} x^{2 n}+24 A c \,d^{2} m^{3} n \,x^{2 n}+57 A c \,d^{2} m^{2} n^{2} x^{2 n}+36 A c \,d^{2} m \,n^{3} x^{2 n}+A \,d^{3} m^{4} x^{3 n}+7 A \,d^{3} m^{3} n \,x^{3 n}+14 A \,d^{3} m^{2} n^{2} x^{3 n}+8 A \,d^{3} m \,n^{3} x^{3 n}+B \,c^{3} m^{4} x^{n}+9 B \,c^{3} m^{3} n \,x^{n}+26 B \,c^{3} m^{2} n^{2} x^{n}+24 B \,c^{3} m \,n^{3} x^{n}+3 B \,c^{2} d \,m^{4} x^{2 n}+24 B \,c^{2} d \,m^{3} n \,x^{2 n}+57 B \,c^{2} d \,m^{2} n^{2} x^{2 n}+36 B \,c^{2} d m \,n^{3} x^{2 n}+3 B c \,d^{2} m^{4} x^{3 n}+21 B c \,d^{2} m^{3} n \,x^{3 n}+42 B c \,d^{2} m^{2} n^{2} x^{3 n}+24 B c \,d^{2} m \,n^{3} x^{3 n}+B \,d^{3} m^{4} x^{4 n}+6 B \,d^{3} m^{3} n \,x^{4 n}+11 B \,d^{3} m^{2} n^{2} x^{4 n}+6 B \,d^{3} m \,n^{3} x^{4 n}+A \,c^{3} m^{4}+10 A \,c^{3} m^{3} n +35 A \,c^{3} m^{2} n^{2}+50 A \,c^{3} m \,n^{3}+24 A \,c^{3} n^{4}+12 A \,c^{2} d \,m^{3} x^{n}+81 A \,c^{2} d \,m^{2} n \,x^{n}+156 A \,c^{2} d m \,n^{2} x^{n}+72 A \,c^{2} d \,n^{3} x^{n}+12 A c \,d^{2} m^{3} x^{2 n}+72 A c \,d^{2} m^{2} n \,x^{2 n}+114 A c \,d^{2} m \,n^{2} x^{2 n}+36 A c \,d^{2} n^{3} x^{2 n}+4 A \,d^{3} m^{3} x^{3 n}+21 A \,d^{3} m^{2} n \,x^{3 n}+28 A \,d^{3} m \,n^{2} x^{3 n}+8 A \,d^{3} n^{3} x^{3 n}+4 B \,c^{3} m^{3} x^{n}+27 B \,c^{3} m^{2} n \,x^{n}+52 B \,c^{3} m \,n^{2} x^{n}+24 B \,c^{3} n^{3} x^{n}+12 B \,c^{2} d \,m^{3} x^{2 n}+72 B \,c^{2} d \,m^{2} n \,x^{2 n}+114 B \,c^{2} d m \,n^{2} x^{2 n}+36 B \,c^{2} d \,n^{3} x^{2 n}+12 B c \,d^{2} m^{3} x^{3 n}+63 B c \,d^{2} m^{2} n \,x^{3 n}+84 B c \,d^{2} m \,n^{2} x^{3 n}+24 B c \,d^{2} n^{3} x^{3 n}+4 B \,d^{3} m^{3} x^{4 n}+18 B \,d^{3} m^{2} n \,x^{4 n}+22 B \,d^{3} m \,n^{2} x^{4 n}+6 B \,d^{3} n^{3} x^{4 n}+4 A \,c^{3} m^{3}+30 A \,c^{3} m^{2} n +70 A \,c^{3} m \,n^{2}+50 A \,c^{3} n^{3}+18 A \,c^{2} d \,m^{2} x^{n}+81 A \,c^{2} d m n \,x^{n}+78 A \,c^{2} d \,n^{2} x^{n}+18 A c \,d^{2} m^{2} x^{2 n}+72 A c \,d^{2} m n \,x^{2 n}+57 A c \,d^{2} n^{2} x^{2 n}+6 A \,d^{3} m^{2} x^{3 n}+21 A \,d^{3} m n \,x^{3 n}+14 A \,d^{3} n^{2} x^{3 n}+6 B \,c^{3} m^{2} x^{n}+27 B \,c^{3} m n \,x^{n}+26 B \,c^{3} n^{2} x^{n}+18 B \,c^{2} d \,m^{2} x^{2 n}+72 B \,c^{2} d m n \,x^{2 n}+57 B \,c^{2} d \,n^{2} x^{2 n}+18 B c \,d^{2} m^{2} x^{3 n}+63 B c \,d^{2} m n \,x^{3 n}+42 B c \,d^{2} n^{2} x^{3 n}+6 B \,d^{3} m^{2} x^{4 n}+18 B \,d^{3} m n \,x^{4 n}+11 B \,d^{3} n^{2} x^{4 n}+6 A \,c^{3} m^{2}+30 A \,c^{3} m n +35 A \,c^{3} n^{2}+12 A \,c^{2} d m \,x^{n}+27 A \,c^{2} d n \,x^{n}+12 A c \,d^{2} m \,x^{2 n}+24 A c \,d^{2} n \,x^{2 n}+4 A \,d^{3} m \,x^{3 n}+7 A \,d^{3} n \,x^{3 n}+4 B \,c^{3} m \,x^{n}+9 B \,c^{3} n \,x^{n}+12 B \,c^{2} d m \,x^{2 n}+24 B \,c^{2} d n \,x^{2 n}+12 B c \,d^{2} m \,x^{3 n}+21 B c \,d^{2} n \,x^{3 n}+4 B \,d^{3} m \,x^{4 n}+6 B \,d^{3} n \,x^{4 n}+4 A \,c^{3} m +10 A \,c^{3} n +3 A \,c^{2} d \,x^{n}+3 A c \,d^{2} x^{2 n}+A \,d^{3} x^{3 n}+B \,c^{3} x^{n}+3 B \,c^{2} d \,x^{2 n}+3 B c \,d^{2} x^{3 n}+B \,d^{3} x^{4 n}+A \,c^{3}\right) x \,{\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)+i \pi  \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i e x \right)^{2}-i \pi  \mathrm{csgn}\left(i e x \right)^{3}+2 \ln \left(e \right)+2 \ln \left(x \right)\right) m}{2}}}{\left(m +1\right) \left(m +n +1\right) \left(m +2 n +1\right) \left(m +3 n +1\right) \left(m +4 n +1\right)}"," ",0,"x*(57*B*c^2*d*m^2*n^2*(x^n)^2+36*B*c^2*d*m*n^3*(x^n)^2+24*B*c^2*d*m^3*n*(x^n)^2+11*B*d^3*n^2*(x^n)^4+B*d^3*m^4*(x^n)^4+8*A*d^3*n^3*(x^n)^3+6*B*d^3*m^2*(x^n)^4+24*B*c^3*n^3*x^n+A*d^3*m^4*(x^n)^3+4*B*d^3*m^3*(x^n)^4+6*B*d^3*n^3*(x^n)^4+4*A*d^3*m^3*(x^n)^3+4*B*c^3*m^3*x^n+6*B*d^3*(x^n)^4*n+4*A*d^3*(x^n)^3*m+7*A*d^3*(x^n)^3*n+B*c^3*m^4*x^n+4*m*B*d^3*(x^n)^4+26*B*c^3*n^2*x^n+6*A*d^3*m^2*(x^n)^3+14*A*d^3*n^2*(x^n)^3+3*A*c^2*d*x^n+3*B*c*d^2*(x^n)^3+3*A*c*d^2*(x^n)^2+4*B*c^3*x^n*m+9*B*c^3*x^n*n+6*B*c^3*m^2*x^n+3*B*c^2*d*(x^n)^2+10*A*c^3*m^3*n+35*A*c^3*m^2*n^2+50*A*c^3*m*n^3+30*A*c^3*m^2*n+70*A*c^3*m*n^2+30*A*c^3*m*n+36*A*c*d^2*m*n^3*(x^n)^2+24*A*c*d^2*m^3*n*(x^n)^2+57*A*c*d^2*m^2*n^2*(x^n)^2+72*B*c^2*d*m^2*n*(x^n)^2+114*B*c^2*d*m*n^2*(x^n)^2+63*B*c*d^2*m*n*(x^n)^3+21*B*c*d^2*m^3*n*(x^n)^3+42*B*c*d^2*m^2*n^2*(x^n)^3+24*B*c*d^2*m*n^3*(x^n)^3+84*B*c*d^2*m*n^2*(x^n)^3+27*A*c^2*d*m^3*n*x^n+78*A*c^2*d*m^2*n^2*x^n+72*A*c^2*d*m*n^3*x^n+72*A*c*d^2*m^2*n*(x^n)^2+114*A*c*d^2*m*n^2*(x^n)^2+81*A*c^2*d*m^2*n*x^n+156*A*c^2*d*m*n^2*x^n+72*A*c*d^2*m*n*(x^n)^2+72*B*c^2*d*m*n*(x^n)^2+63*B*c*d^2*m^2*n*(x^n)^3+81*A*c^2*d*m*n*x^n+A*c^3+(x^n)^4*B*d^3+(x^n)^3*A*d^3+12*B*c^2*d*m^3*(x^n)^2+36*B*c^2*d*n^3*(x^n)^2+4*A*c^3*m+10*A*c^3*n+24*A*c^3*n^4+4*A*c^3*m^3+50*A*c^3*n^3+6*A*c^3*m^2+35*A*c^3*n^2+x^n*B*c^3+A*c^3*m^4+72*A*c^2*d*n^3*x^n+18*A*c*d^2*m^2*(x^n)^2+57*A*c*d^2*n^2*(x^n)^2+27*B*c^3*m^2*n*x^n+18*B*c*d^2*m^2*(x^n)^3+3*A*c*d^2*m^4*(x^n)^2+21*A*d^3*m^2*n*(x^n)^3+28*A*d^3*m*n^2*(x^n)^3+3*B*c^2*d*m^4*(x^n)^2+26*B*c^3*m^2*n^2*x^n+7*A*d^3*m^3*n*(x^n)^3+14*A*d^3*m^2*n^2*(x^n)^3+8*A*d^3*m*n^3*(x^n)^3+3*B*c*d^2*m^4*(x^n)^3+18*B*d^3*m^2*n*(x^n)^4+22*B*d^3*m*n^2*(x^n)^4+78*A*c^2*d*n^2*x^n+12*A*c*d^2*(x^n)^2*m+24*A*c*d^2*(x^n)^2*n+27*B*c^3*m*n*x^n+12*B*c^2*d*(x^n)^2*m+24*B*c^2*d*(x^n)^2*n+12*A*c^2*d*x^n*m+27*A*c^2*d*x^n*n+42*B*c*d^2*n^2*(x^n)^3+12*A*c^2*d*m^3*x^n+18*B*d^3*m*n*(x^n)^4+3*A*c^2*d*m^4*x^n+12*A*c*d^2*m^3*(x^n)^2+36*A*c*d^2*n^3*(x^n)^2+21*A*d^3*m*n*(x^n)^3+9*B*c^3*m^3*n*x^n+24*B*c^3*m*n^3*x^n+12*B*c*d^2*m^3*(x^n)^3+24*B*c*d^2*n^3*(x^n)^3+6*B*d^3*m^3*n*(x^n)^4+11*B*d^3*m^2*n^2*(x^n)^4+6*B*d^3*m*n^3*(x^n)^4+52*B*c^3*m*n^2*x^n+18*B*c^2*d*m^2*(x^n)^2+57*B*c^2*d*n^2*(x^n)^2+12*B*c*d^2*(x^n)^3*m+21*B*c*d^2*(x^n)^3*n+18*A*c^2*d*m^2*x^n)/(m+1)/(m+n+1)/(m+2*n+1)/(m+3*n+1)/(m+4*n+1)*exp(1/2*(-I*Pi*csgn(I*e)*csgn(I*x)*csgn(I*e*x)+I*Pi*csgn(I*e)*csgn(I*e*x)^2+I*Pi*csgn(I*x)*csgn(I*e*x)^2-I*Pi*csgn(I*e*x)^3+2*ln(e)+2*ln(x))*m)","C"
19,0,0,272,0.842000," ","int((e*x)^m*(B*x^n+A)*(d*x^n+c)^3/(b*x^n+a),x)","\int \frac{\left(B \,x^{n}+A \right) \left(d \,x^{n}+c \right)^{3} \left(e x \right)^{m}}{b \,x^{n}+a}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)*(d*x^n+c)^3/(b*x^n+a),x)","F"
20,0,0,396,0.842000," ","int((e*x)^m*(B*x^n+A)*(d*x^n+c)^3/(b*x^n+a)^2,x)","\int \frac{\left(B \,x^{n}+A \right) \left(d \,x^{n}+c \right)^{3} \left(e x \right)^{m}}{\left(b \,x^{n}+a \right)^{2}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)*(d*x^n+c)^3/(b*x^n+a)^2,x)","F"
21,0,0,382,0.918000," ","int((e*x)^m*(b*x^n+a)^4*(B*x^n+A)/(d*x^n+c),x)","\int \frac{\left(b \,x^{n}+a \right)^{4} \left(B \,x^{n}+A \right) \left(e x \right)^{m}}{d \,x^{n}+c}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)^4*(B*x^n+A)/(d*x^n+c),x)","F"
22,0,0,274,0.872000," ","int((e*x)^m*(b*x^n+a)^3*(B*x^n+A)/(d*x^n+c),x)","\int \frac{\left(b \,x^{n}+a \right)^{3} \left(B \,x^{n}+A \right) \left(e x \right)^{m}}{d \,x^{n}+c}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)^3*(B*x^n+A)/(d*x^n+c),x)","F"
23,0,0,189,0.821000," ","int((e*x)^m*(b*x^n+a)^2*(B*x^n+A)/(d*x^n+c),x)","\int \frac{\left(b \,x^{n}+a \right)^{2} \left(B \,x^{n}+A \right) \left(e x \right)^{m}}{d \,x^{n}+c}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)^2*(B*x^n+A)/(d*x^n+c),x)","F"
24,0,0,124,0.662000," ","int((e*x)^m*(b*x^n+a)*(B*x^n+A)/(d*x^n+c),x)","\int \frac{\left(b \,x^{n}+a \right) \left(B \,x^{n}+A \right) \left(e x \right)^{m}}{d \,x^{n}+c}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)*(B*x^n+A)/(d*x^n+c),x)","F"
25,0,0,80,0.702000," ","int((e*x)^m*(B*x^n+A)/(d*x^n+c),x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{d \,x^{n}+c}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(d*x^n+c),x)","F"
26,0,0,131,0.991000," ","int((e*x)^m*(B*x^n+A)/(b*x^n+a)/(d*x^n+c),x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(b \,x^{n}+a \right) \left(d \,x^{n}+c \right)}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(b*x^n+a)/(d*x^n+c),x)","F"
27,0,0,216,1.023000," ","int((e*x)^m*(B*x^n+A)/(b*x^n+a)^2/(d*x^n+c),x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(b \,x^{n}+a \right)^{2} \left(d \,x^{n}+c \right)}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(b*x^n+a)^2/(d*x^n+c),x)","F"
28,0,0,405,1.023000," ","int((e*x)^m*(B*x^n+A)/(b*x^n+a)^3/(d*x^n+c),x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(b \,x^{n}+a \right)^{3} \left(d \,x^{n}+c \right)}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(b*x^n+a)^3/(d*x^n+c),x)","F"
29,0,0,388,0.879000," ","int((e*x)^m*(b*x^n+a)^3*(B*x^n+A)/(d*x^n+c)^2,x)","\int \frac{\left(b \,x^{n}+a \right)^{3} \left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(d \,x^{n}+c \right)^{2}}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)^3*(B*x^n+A)/(d*x^n+c)^2,x)","F"
30,0,0,269,0.878000," ","int((e*x)^m*(b*x^n+a)^2*(B*x^n+A)/(d*x^n+c)^2,x)","\int \frac{\left(b \,x^{n}+a \right)^{2} \left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(d \,x^{n}+c \right)^{2}}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)^2*(B*x^n+A)/(d*x^n+c)^2,x)","F"
31,0,0,180,0.697000," ","int((e*x)^m*(b*x^n+a)*(B*x^n+A)/(d*x^n+c)^2,x)","\int \frac{\left(b \,x^{n}+a \right) \left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(d \,x^{n}+c \right)^{2}}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)*(B*x^n+A)/(d*x^n+c)^2,x)","F"
32,0,0,109,0.661000," ","int((e*x)^m*(B*x^n+A)/(d*x^n+c)^2,x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(d \,x^{n}+c \right)^{2}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(d*x^n+c)^2,x)","F"
33,0,0,215,0.998000," ","int((e*x)^m*(B*x^n+A)/(b*x^n+a)/(d*x^n+c)^2,x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(b \,x^{n}+a \right) \left(d \,x^{n}+c \right)^{2}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(b*x^n+a)/(d*x^n+c)^2,x)","F"
34,0,0,319,1.088000," ","int((e*x)^m*(B*x^n+A)/(b*x^n+a)^2/(d*x^n+c)^2,x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(b \,x^{n}+a \right)^{2} \left(d \,x^{n}+c \right)^{2}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(b*x^n+a)^2/(d*x^n+c)^2,x)","F"
35,0,0,563,1.031000," ","int((e*x)^m*(B*x^n+A)/(b*x^n+a)^3/(d*x^n+c)^2,x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(b \,x^{n}+a \right)^{3} \left(d \,x^{n}+c \right)^{2}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(b*x^n+a)^3/(d*x^n+c)^2,x)","F"
36,0,0,316,0.876000," ","int((e*x)^m*(b*x^n+a)^2*(B*x^n+A)/(d*x^n+c)^3,x)","\int \frac{\left(b \,x^{n}+a \right)^{2} \left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(d \,x^{n}+c \right)^{3}}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)^2*(B*x^n+A)/(d*x^n+c)^3,x)","F"
37,0,0,224,0.726000," ","int((e*x)^m*(b*x^n+a)*(B*x^n+A)/(d*x^n+c)^3,x)","\int \frac{\left(b \,x^{n}+a \right) \left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(d \,x^{n}+c \right)^{3}}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)*(B*x^n+A)/(d*x^n+c)^3,x)","F"
38,0,0,110,0.675000," ","int((e*x)^m*(B*x^n+A)/(d*x^n+c)^3,x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(d \,x^{n}+c \right)^{3}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(d*x^n+c)^3,x)","F"
39,0,0,364,1.033000," ","int((e*x)^m*(B*x^n+A)/(b*x^n+a)/(d*x^n+c)^3,x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(b \,x^{n}+a \right) \left(d \,x^{n}+c \right)^{3}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(b*x^n+a)/(d*x^n+c)^3,x)","F"
40,0,0,480,1.022000," ","int((e*x)^m*(B*x^n+A)/(b*x^n+a)^2/(d*x^n+c)^3,x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m}}{\left(b \,x^{n}+a \right)^{2} \left(d \,x^{n}+c \right)^{3}}\, dx"," ",0,"int((e*x)^m*(B*x^n+A)/(b*x^n+a)^2/(d*x^n+c)^3,x)","F"
41,0,0,211,1.451000," ","int((e*x)^m*(b*x^n+a)^p*(B*x^n+A)*(d*x^n+c)^q,x)","\int \left(B \,x^{n}+A \right) \left(e x \right)^{m} \left(b \,x^{n}+a \right)^{p} \left(d \,x^{n}+c \right)^{q}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)^p*(B*x^n+A)*(d*x^n+c)^q,x)","F"
42,0,0,273,0.679000," ","int((e*x)^m*(b*x^n+a)^p*(B*x^n+A)*(d*x^n+c),x)","\int \left(B \,x^{n}+A \right) \left(d \,x^{n}+c \right) \left(e x \right)^{m} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)^p*(B*x^n+A)*(d*x^n+c),x)","F"
43,0,0,166,1.087000," ","int((e*x)^m*(b*x^n+a)^p*(B*x^n+A)/(d*x^n+c),x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m} \left(b \,x^{n}+a \right)^{p}}{d \,x^{n}+c}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)^p*(B*x^n+A)/(d*x^n+c),x)","F"
44,0,0,306,0.992000," ","int((e*x)^m*(b*x^n+a)^p*(B*x^n+A)/(d*x^n+c)^2,x)","\int \frac{\left(B \,x^{n}+A \right) \left(e x \right)^{m} \left(b \,x^{n}+a \right)^{p}}{\left(d \,x^{n}+c \right)^{2}}\, dx"," ",0,"int((e*x)^m*(b*x^n+a)^p*(B*x^n+A)/(d*x^n+c)^2,x)","F"
45,0,0,130,1.064000," ","int((-a+b*x^(1/2*n))^(-1+1/n)*(b*x^(1/2*n)+a)^(-1+1/n)*(d*x^n+c)/x^2,x)","\int \frac{\left(d \,x^{n}+c \right) \left(b \,x^{\frac{n}{2}}-a \right)^{\frac{1}{n}-1} \left(b \,x^{\frac{n}{2}}+a \right)^{\frac{1}{n}-1}}{x^{2}}\, dx"," ",0,"int((-a+b*x^(1/2*n))^(-1+1/n)*(b*x^(1/2*n)+a)^(-1+1/n)*(d*x^n+c)/x^2,x)","F"
46,0,0,130,1.119000," ","int((b*x^(1/2*n)-a)^((-n+1)/n)*(b*x^(1/2*n)+a)^((-n+1)/n)*(d*x^n+c)/x^2,x)","\int \frac{\left(d \,x^{n}+c \right) \left(b \,x^{\frac{n}{2}}-a \right)^{\frac{-n +1}{n}} \left(b \,x^{\frac{n}{2}}+a \right)^{\frac{-n +1}{n}}}{x^{2}}\, dx"," ",0,"int((b*x^(1/2*n)-a)^((-n+1)/n)*(b*x^(1/2*n)+a)^((-n+1)/n)*(d*x^n+c)/x^2,x)","F"