1,1,1708,0,0.569955," ","integrate((e*x)^m*(b*x^2+a)^3*(B*x^2+A)*(d*x^2+c),x, algorithm=""giac"")","\frac{B b^{3} d m^{5} x^{11} x^{m} e^{m} + 25 \, B b^{3} d m^{4} x^{11} x^{m} e^{m} + B b^{3} c m^{5} x^{9} x^{m} e^{m} + 3 \, B a b^{2} d m^{5} x^{9} x^{m} e^{m} + A b^{3} d m^{5} x^{9} x^{m} e^{m} + 230 \, B b^{3} d m^{3} x^{11} x^{m} e^{m} + 27 \, B b^{3} c m^{4} x^{9} x^{m} e^{m} + 81 \, B a b^{2} d m^{4} x^{9} x^{m} e^{m} + 27 \, A b^{3} d m^{4} x^{9} x^{m} e^{m} + 950 \, B b^{3} d m^{2} x^{11} x^{m} e^{m} + 3 \, B a b^{2} c m^{5} x^{7} x^{m} e^{m} + A b^{3} c m^{5} x^{7} x^{m} e^{m} + 3 \, B a^{2} b d m^{5} x^{7} x^{m} e^{m} + 3 \, A a b^{2} d m^{5} x^{7} x^{m} e^{m} + 262 \, B b^{3} c m^{3} x^{9} x^{m} e^{m} + 786 \, B a b^{2} d m^{3} x^{9} x^{m} e^{m} + 262 \, A b^{3} d m^{3} x^{9} x^{m} e^{m} + 1689 \, B b^{3} d m x^{11} x^{m} e^{m} + 87 \, B a b^{2} c m^{4} x^{7} x^{m} e^{m} + 29 \, A b^{3} c m^{4} x^{7} x^{m} e^{m} + 87 \, B a^{2} b d m^{4} x^{7} x^{m} e^{m} + 87 \, A a b^{2} d m^{4} x^{7} x^{m} e^{m} + 1122 \, B b^{3} c m^{2} x^{9} x^{m} e^{m} + 3366 \, B a b^{2} d m^{2} x^{9} x^{m} e^{m} + 1122 \, A b^{3} d m^{2} x^{9} x^{m} e^{m} + 945 \, B b^{3} d x^{11} x^{m} e^{m} + 3 \, B a^{2} b c m^{5} x^{5} x^{m} e^{m} + 3 \, A a b^{2} c m^{5} x^{5} x^{m} e^{m} + B a^{3} d m^{5} x^{5} x^{m} e^{m} + 3 \, A a^{2} b d m^{5} x^{5} x^{m} e^{m} + 906 \, B a b^{2} c m^{3} x^{7} x^{m} e^{m} + 302 \, A b^{3} c m^{3} x^{7} x^{m} e^{m} + 906 \, B a^{2} b d m^{3} x^{7} x^{m} e^{m} + 906 \, A a b^{2} d m^{3} x^{7} x^{m} e^{m} + 2041 \, B b^{3} c m x^{9} x^{m} e^{m} + 6123 \, B a b^{2} d m x^{9} x^{m} e^{m} + 2041 \, A b^{3} d m x^{9} x^{m} e^{m} + 93 \, B a^{2} b c m^{4} x^{5} x^{m} e^{m} + 93 \, A a b^{2} c m^{4} x^{5} x^{m} e^{m} + 31 \, B a^{3} d m^{4} x^{5} x^{m} e^{m} + 93 \, A a^{2} b d m^{4} x^{5} x^{m} e^{m} + 4098 \, B a b^{2} c m^{2} x^{7} x^{m} e^{m} + 1366 \, A b^{3} c m^{2} x^{7} x^{m} e^{m} + 4098 \, B a^{2} b d m^{2} x^{7} x^{m} e^{m} + 4098 \, A a b^{2} d m^{2} x^{7} x^{m} e^{m} + 1155 \, B b^{3} c x^{9} x^{m} e^{m} + 3465 \, B a b^{2} d x^{9} x^{m} e^{m} + 1155 \, A b^{3} d x^{9} x^{m} e^{m} + B a^{3} c m^{5} x^{3} x^{m} e^{m} + 3 \, A a^{2} b c m^{5} x^{3} x^{m} e^{m} + A a^{3} d m^{5} x^{3} x^{m} e^{m} + 1050 \, B a^{2} b c m^{3} x^{5} x^{m} e^{m} + 1050 \, A a b^{2} c m^{3} x^{5} x^{m} e^{m} + 350 \, B a^{3} d m^{3} x^{5} x^{m} e^{m} + 1050 \, A a^{2} b d m^{3} x^{5} x^{m} e^{m} + 7731 \, B a b^{2} c m x^{7} x^{m} e^{m} + 2577 \, A b^{3} c m x^{7} x^{m} e^{m} + 7731 \, B a^{2} b d m x^{7} x^{m} e^{m} + 7731 \, A a b^{2} d m x^{7} x^{m} e^{m} + 33 \, B a^{3} c m^{4} x^{3} x^{m} e^{m} + 99 \, A a^{2} b c m^{4} x^{3} x^{m} e^{m} + 33 \, A a^{3} d m^{4} x^{3} x^{m} e^{m} + 5190 \, B a^{2} b c m^{2} x^{5} x^{m} e^{m} + 5190 \, A a b^{2} c m^{2} x^{5} x^{m} e^{m} + 1730 \, B a^{3} d m^{2} x^{5} x^{m} e^{m} + 5190 \, A a^{2} b d m^{2} x^{5} x^{m} e^{m} + 4455 \, B a b^{2} c x^{7} x^{m} e^{m} + 1485 \, A b^{3} c x^{7} x^{m} e^{m} + 4455 \, B a^{2} b d x^{7} x^{m} e^{m} + 4455 \, A a b^{2} d x^{7} x^{m} e^{m} + A a^{3} c m^{5} x x^{m} e^{m} + 406 \, B a^{3} c m^{3} x^{3} x^{m} e^{m} + 1218 \, A a^{2} b c m^{3} x^{3} x^{m} e^{m} + 406 \, A a^{3} d m^{3} x^{3} x^{m} e^{m} + 10467 \, B a^{2} b c m x^{5} x^{m} e^{m} + 10467 \, A a b^{2} c m x^{5} x^{m} e^{m} + 3489 \, B a^{3} d m x^{5} x^{m} e^{m} + 10467 \, A a^{2} b d m x^{5} x^{m} e^{m} + 35 \, A a^{3} c m^{4} x x^{m} e^{m} + 2262 \, B a^{3} c m^{2} x^{3} x^{m} e^{m} + 6786 \, A a^{2} b c m^{2} x^{3} x^{m} e^{m} + 2262 \, A a^{3} d m^{2} x^{3} x^{m} e^{m} + 6237 \, B a^{2} b c x^{5} x^{m} e^{m} + 6237 \, A a b^{2} c x^{5} x^{m} e^{m} + 2079 \, B a^{3} d x^{5} x^{m} e^{m} + 6237 \, A a^{2} b d x^{5} x^{m} e^{m} + 470 \, A a^{3} c m^{3} x x^{m} e^{m} + 5353 \, B a^{3} c m x^{3} x^{m} e^{m} + 16059 \, A a^{2} b c m x^{3} x^{m} e^{m} + 5353 \, A a^{3} d m x^{3} x^{m} e^{m} + 3010 \, A a^{3} c m^{2} x x^{m} e^{m} + 3465 \, B a^{3} c x^{3} x^{m} e^{m} + 10395 \, A a^{2} b c x^{3} x^{m} e^{m} + 3465 \, A a^{3} d x^{3} x^{m} e^{m} + 9129 \, A a^{3} c m x x^{m} e^{m} + 10395 \, A a^{3} c x x^{m} e^{m}}{m^{6} + 36 \, m^{5} + 505 \, m^{4} + 3480 \, m^{3} + 12139 \, m^{2} + 19524 \, m + 10395}"," ",0,"(B*b^3*d*m^5*x^11*x^m*e^m + 25*B*b^3*d*m^4*x^11*x^m*e^m + B*b^3*c*m^5*x^9*x^m*e^m + 3*B*a*b^2*d*m^5*x^9*x^m*e^m + A*b^3*d*m^5*x^9*x^m*e^m + 230*B*b^3*d*m^3*x^11*x^m*e^m + 27*B*b^3*c*m^4*x^9*x^m*e^m + 81*B*a*b^2*d*m^4*x^9*x^m*e^m + 27*A*b^3*d*m^4*x^9*x^m*e^m + 950*B*b^3*d*m^2*x^11*x^m*e^m + 3*B*a*b^2*c*m^5*x^7*x^m*e^m + A*b^3*c*m^5*x^7*x^m*e^m + 3*B*a^2*b*d*m^5*x^7*x^m*e^m + 3*A*a*b^2*d*m^5*x^7*x^m*e^m + 262*B*b^3*c*m^3*x^9*x^m*e^m + 786*B*a*b^2*d*m^3*x^9*x^m*e^m + 262*A*b^3*d*m^3*x^9*x^m*e^m + 1689*B*b^3*d*m*x^11*x^m*e^m + 87*B*a*b^2*c*m^4*x^7*x^m*e^m + 29*A*b^3*c*m^4*x^7*x^m*e^m + 87*B*a^2*b*d*m^4*x^7*x^m*e^m + 87*A*a*b^2*d*m^4*x^7*x^m*e^m + 1122*B*b^3*c*m^2*x^9*x^m*e^m + 3366*B*a*b^2*d*m^2*x^9*x^m*e^m + 1122*A*b^3*d*m^2*x^9*x^m*e^m + 945*B*b^3*d*x^11*x^m*e^m + 3*B*a^2*b*c*m^5*x^5*x^m*e^m + 3*A*a*b^2*c*m^5*x^5*x^m*e^m + B*a^3*d*m^5*x^5*x^m*e^m + 3*A*a^2*b*d*m^5*x^5*x^m*e^m + 906*B*a*b^2*c*m^3*x^7*x^m*e^m + 302*A*b^3*c*m^3*x^7*x^m*e^m + 906*B*a^2*b*d*m^3*x^7*x^m*e^m + 906*A*a*b^2*d*m^3*x^7*x^m*e^m + 2041*B*b^3*c*m*x^9*x^m*e^m + 6123*B*a*b^2*d*m*x^9*x^m*e^m + 2041*A*b^3*d*m*x^9*x^m*e^m + 93*B*a^2*b*c*m^4*x^5*x^m*e^m + 93*A*a*b^2*c*m^4*x^5*x^m*e^m + 31*B*a^3*d*m^4*x^5*x^m*e^m + 93*A*a^2*b*d*m^4*x^5*x^m*e^m + 4098*B*a*b^2*c*m^2*x^7*x^m*e^m + 1366*A*b^3*c*m^2*x^7*x^m*e^m + 4098*B*a^2*b*d*m^2*x^7*x^m*e^m + 4098*A*a*b^2*d*m^2*x^7*x^m*e^m + 1155*B*b^3*c*x^9*x^m*e^m + 3465*B*a*b^2*d*x^9*x^m*e^m + 1155*A*b^3*d*x^9*x^m*e^m + B*a^3*c*m^5*x^3*x^m*e^m + 3*A*a^2*b*c*m^5*x^3*x^m*e^m + A*a^3*d*m^5*x^3*x^m*e^m + 1050*B*a^2*b*c*m^3*x^5*x^m*e^m + 1050*A*a*b^2*c*m^3*x^5*x^m*e^m + 350*B*a^3*d*m^3*x^5*x^m*e^m + 1050*A*a^2*b*d*m^3*x^5*x^m*e^m + 7731*B*a*b^2*c*m*x^7*x^m*e^m + 2577*A*b^3*c*m*x^7*x^m*e^m + 7731*B*a^2*b*d*m*x^7*x^m*e^m + 7731*A*a*b^2*d*m*x^7*x^m*e^m + 33*B*a^3*c*m^4*x^3*x^m*e^m + 99*A*a^2*b*c*m^4*x^3*x^m*e^m + 33*A*a^3*d*m^4*x^3*x^m*e^m + 5190*B*a^2*b*c*m^2*x^5*x^m*e^m + 5190*A*a*b^2*c*m^2*x^5*x^m*e^m + 1730*B*a^3*d*m^2*x^5*x^m*e^m + 5190*A*a^2*b*d*m^2*x^5*x^m*e^m + 4455*B*a*b^2*c*x^7*x^m*e^m + 1485*A*b^3*c*x^7*x^m*e^m + 4455*B*a^2*b*d*x^7*x^m*e^m + 4455*A*a*b^2*d*x^7*x^m*e^m + A*a^3*c*m^5*x*x^m*e^m + 406*B*a^3*c*m^3*x^3*x^m*e^m + 1218*A*a^2*b*c*m^3*x^3*x^m*e^m + 406*A*a^3*d*m^3*x^3*x^m*e^m + 10467*B*a^2*b*c*m*x^5*x^m*e^m + 10467*A*a*b^2*c*m*x^5*x^m*e^m + 3489*B*a^3*d*m*x^5*x^m*e^m + 10467*A*a^2*b*d*m*x^5*x^m*e^m + 35*A*a^3*c*m^4*x*x^m*e^m + 2262*B*a^3*c*m^2*x^3*x^m*e^m + 6786*A*a^2*b*c*m^2*x^3*x^m*e^m + 2262*A*a^3*d*m^2*x^3*x^m*e^m + 6237*B*a^2*b*c*x^5*x^m*e^m + 6237*A*a*b^2*c*x^5*x^m*e^m + 2079*B*a^3*d*x^5*x^m*e^m + 6237*A*a^2*b*d*x^5*x^m*e^m + 470*A*a^3*c*m^3*x*x^m*e^m + 5353*B*a^3*c*m*x^3*x^m*e^m + 16059*A*a^2*b*c*m*x^3*x^m*e^m + 5353*A*a^3*d*m*x^3*x^m*e^m + 3010*A*a^3*c*m^2*x*x^m*e^m + 3465*B*a^3*c*x^3*x^m*e^m + 10395*A*a^2*b*c*x^3*x^m*e^m + 3465*A*a^3*d*x^3*x^m*e^m + 9129*A*a^3*c*m*x*x^m*e^m + 10395*A*a^3*c*x*x^m*e^m)/(m^6 + 36*m^5 + 505*m^4 + 3480*m^3 + 12139*m^2 + 19524*m + 10395)","B",0
2,1,1009,0,0.560606," ","integrate((e*x)^m*(b*x^2+a)^2*(B*x^2+A)*(d*x^2+c),x, algorithm=""giac"")","\frac{B b^{2} d m^{4} x^{9} x^{m} e^{m} + 16 \, B b^{2} d m^{3} x^{9} x^{m} e^{m} + B b^{2} c m^{4} x^{7} x^{m} e^{m} + 2 \, B a b d m^{4} x^{7} x^{m} e^{m} + A b^{2} d m^{4} x^{7} x^{m} e^{m} + 86 \, B b^{2} d m^{2} x^{9} x^{m} e^{m} + 18 \, B b^{2} c m^{3} x^{7} x^{m} e^{m} + 36 \, B a b d m^{3} x^{7} x^{m} e^{m} + 18 \, A b^{2} d m^{3} x^{7} x^{m} e^{m} + 176 \, B b^{2} d m x^{9} x^{m} e^{m} + 2 \, B a b c m^{4} x^{5} x^{m} e^{m} + A b^{2} c m^{4} x^{5} x^{m} e^{m} + B a^{2} d m^{4} x^{5} x^{m} e^{m} + 2 \, A a b d m^{4} x^{5} x^{m} e^{m} + 104 \, B b^{2} c m^{2} x^{7} x^{m} e^{m} + 208 \, B a b d m^{2} x^{7} x^{m} e^{m} + 104 \, A b^{2} d m^{2} x^{7} x^{m} e^{m} + 105 \, B b^{2} d x^{9} x^{m} e^{m} + 40 \, B a b c m^{3} x^{5} x^{m} e^{m} + 20 \, A b^{2} c m^{3} x^{5} x^{m} e^{m} + 20 \, B a^{2} d m^{3} x^{5} x^{m} e^{m} + 40 \, A a b d m^{3} x^{5} x^{m} e^{m} + 222 \, B b^{2} c m x^{7} x^{m} e^{m} + 444 \, B a b d m x^{7} x^{m} e^{m} + 222 \, A b^{2} d m x^{7} x^{m} e^{m} + B a^{2} c m^{4} x^{3} x^{m} e^{m} + 2 \, A a b c m^{4} x^{3} x^{m} e^{m} + A a^{2} d m^{4} x^{3} x^{m} e^{m} + 260 \, B a b c m^{2} x^{5} x^{m} e^{m} + 130 \, A b^{2} c m^{2} x^{5} x^{m} e^{m} + 130 \, B a^{2} d m^{2} x^{5} x^{m} e^{m} + 260 \, A a b d m^{2} x^{5} x^{m} e^{m} + 135 \, B b^{2} c x^{7} x^{m} e^{m} + 270 \, B a b d x^{7} x^{m} e^{m} + 135 \, A b^{2} d x^{7} x^{m} e^{m} + 22 \, B a^{2} c m^{3} x^{3} x^{m} e^{m} + 44 \, A a b c m^{3} x^{3} x^{m} e^{m} + 22 \, A a^{2} d m^{3} x^{3} x^{m} e^{m} + 600 \, B a b c m x^{5} x^{m} e^{m} + 300 \, A b^{2} c m x^{5} x^{m} e^{m} + 300 \, B a^{2} d m x^{5} x^{m} e^{m} + 600 \, A a b d m x^{5} x^{m} e^{m} + A a^{2} c m^{4} x x^{m} e^{m} + 164 \, B a^{2} c m^{2} x^{3} x^{m} e^{m} + 328 \, A a b c m^{2} x^{3} x^{m} e^{m} + 164 \, A a^{2} d m^{2} x^{3} x^{m} e^{m} + 378 \, B a b c x^{5} x^{m} e^{m} + 189 \, A b^{2} c x^{5} x^{m} e^{m} + 189 \, B a^{2} d x^{5} x^{m} e^{m} + 378 \, A a b d x^{5} x^{m} e^{m} + 24 \, A a^{2} c m^{3} x x^{m} e^{m} + 458 \, B a^{2} c m x^{3} x^{m} e^{m} + 916 \, A a b c m x^{3} x^{m} e^{m} + 458 \, A a^{2} d m x^{3} x^{m} e^{m} + 206 \, A a^{2} c m^{2} x x^{m} e^{m} + 315 \, B a^{2} c x^{3} x^{m} e^{m} + 630 \, A a b c x^{3} x^{m} e^{m} + 315 \, A a^{2} d x^{3} x^{m} e^{m} + 744 \, A a^{2} c m x x^{m} e^{m} + 945 \, A a^{2} c x x^{m} e^{m}}{m^{5} + 25 \, m^{4} + 230 \, m^{3} + 950 \, m^{2} + 1689 \, m + 945}"," ",0,"(B*b^2*d*m^4*x^9*x^m*e^m + 16*B*b^2*d*m^3*x^9*x^m*e^m + B*b^2*c*m^4*x^7*x^m*e^m + 2*B*a*b*d*m^4*x^7*x^m*e^m + A*b^2*d*m^4*x^7*x^m*e^m + 86*B*b^2*d*m^2*x^9*x^m*e^m + 18*B*b^2*c*m^3*x^7*x^m*e^m + 36*B*a*b*d*m^3*x^7*x^m*e^m + 18*A*b^2*d*m^3*x^7*x^m*e^m + 176*B*b^2*d*m*x^9*x^m*e^m + 2*B*a*b*c*m^4*x^5*x^m*e^m + A*b^2*c*m^4*x^5*x^m*e^m + B*a^2*d*m^4*x^5*x^m*e^m + 2*A*a*b*d*m^4*x^5*x^m*e^m + 104*B*b^2*c*m^2*x^7*x^m*e^m + 208*B*a*b*d*m^2*x^7*x^m*e^m + 104*A*b^2*d*m^2*x^7*x^m*e^m + 105*B*b^2*d*x^9*x^m*e^m + 40*B*a*b*c*m^3*x^5*x^m*e^m + 20*A*b^2*c*m^3*x^5*x^m*e^m + 20*B*a^2*d*m^3*x^5*x^m*e^m + 40*A*a*b*d*m^3*x^5*x^m*e^m + 222*B*b^2*c*m*x^7*x^m*e^m + 444*B*a*b*d*m*x^7*x^m*e^m + 222*A*b^2*d*m*x^7*x^m*e^m + B*a^2*c*m^4*x^3*x^m*e^m + 2*A*a*b*c*m^4*x^3*x^m*e^m + A*a^2*d*m^4*x^3*x^m*e^m + 260*B*a*b*c*m^2*x^5*x^m*e^m + 130*A*b^2*c*m^2*x^5*x^m*e^m + 130*B*a^2*d*m^2*x^5*x^m*e^m + 260*A*a*b*d*m^2*x^5*x^m*e^m + 135*B*b^2*c*x^7*x^m*e^m + 270*B*a*b*d*x^7*x^m*e^m + 135*A*b^2*d*x^7*x^m*e^m + 22*B*a^2*c*m^3*x^3*x^m*e^m + 44*A*a*b*c*m^3*x^3*x^m*e^m + 22*A*a^2*d*m^3*x^3*x^m*e^m + 600*B*a*b*c*m*x^5*x^m*e^m + 300*A*b^2*c*m*x^5*x^m*e^m + 300*B*a^2*d*m*x^5*x^m*e^m + 600*A*a*b*d*m*x^5*x^m*e^m + A*a^2*c*m^4*x*x^m*e^m + 164*B*a^2*c*m^2*x^3*x^m*e^m + 328*A*a*b*c*m^2*x^3*x^m*e^m + 164*A*a^2*d*m^2*x^3*x^m*e^m + 378*B*a*b*c*x^5*x^m*e^m + 189*A*b^2*c*x^5*x^m*e^m + 189*B*a^2*d*x^5*x^m*e^m + 378*A*a*b*d*x^5*x^m*e^m + 24*A*a^2*c*m^3*x*x^m*e^m + 458*B*a^2*c*m*x^3*x^m*e^m + 916*A*a*b*c*m*x^3*x^m*e^m + 458*A*a^2*d*m*x^3*x^m*e^m + 206*A*a^2*c*m^2*x*x^m*e^m + 315*B*a^2*c*x^3*x^m*e^m + 630*A*a*b*c*x^3*x^m*e^m + 315*A*a^2*d*x^3*x^m*e^m + 744*A*a^2*c*m*x*x^m*e^m + 945*A*a^2*c*x*x^m*e^m)/(m^5 + 25*m^4 + 230*m^3 + 950*m^2 + 1689*m + 945)","B",0
3,1,478,0,0.444322," ","integrate((e*x)^m*(b*x^2+a)*(B*x^2+A)*(d*x^2+c),x, algorithm=""giac"")","\frac{B b d m^{3} x^{7} x^{m} e^{m} + 9 \, B b d m^{2} x^{7} x^{m} e^{m} + B b c m^{3} x^{5} x^{m} e^{m} + B a d m^{3} x^{5} x^{m} e^{m} + A b d m^{3} x^{5} x^{m} e^{m} + 23 \, B b d m x^{7} x^{m} e^{m} + 11 \, B b c m^{2} x^{5} x^{m} e^{m} + 11 \, B a d m^{2} x^{5} x^{m} e^{m} + 11 \, A b d m^{2} x^{5} x^{m} e^{m} + 15 \, B b d x^{7} x^{m} e^{m} + B a c m^{3} x^{3} x^{m} e^{m} + A b c m^{3} x^{3} x^{m} e^{m} + A a d m^{3} x^{3} x^{m} e^{m} + 31 \, B b c m x^{5} x^{m} e^{m} + 31 \, B a d m x^{5} x^{m} e^{m} + 31 \, A b d m x^{5} x^{m} e^{m} + 13 \, B a c m^{2} x^{3} x^{m} e^{m} + 13 \, A b c m^{2} x^{3} x^{m} e^{m} + 13 \, A a d m^{2} x^{3} x^{m} e^{m} + 21 \, B b c x^{5} x^{m} e^{m} + 21 \, B a d x^{5} x^{m} e^{m} + 21 \, A b d x^{5} x^{m} e^{m} + A a c m^{3} x x^{m} e^{m} + 47 \, B a c m x^{3} x^{m} e^{m} + 47 \, A b c m x^{3} x^{m} e^{m} + 47 \, A a d m x^{3} x^{m} e^{m} + 15 \, A a c m^{2} x x^{m} e^{m} + 35 \, B a c x^{3} x^{m} e^{m} + 35 \, A b c x^{3} x^{m} e^{m} + 35 \, A a d x^{3} x^{m} e^{m} + 71 \, A a c m x x^{m} e^{m} + 105 \, A a c x x^{m} e^{m}}{m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105}"," ",0,"(B*b*d*m^3*x^7*x^m*e^m + 9*B*b*d*m^2*x^7*x^m*e^m + B*b*c*m^3*x^5*x^m*e^m + B*a*d*m^3*x^5*x^m*e^m + A*b*d*m^3*x^5*x^m*e^m + 23*B*b*d*m*x^7*x^m*e^m + 11*B*b*c*m^2*x^5*x^m*e^m + 11*B*a*d*m^2*x^5*x^m*e^m + 11*A*b*d*m^2*x^5*x^m*e^m + 15*B*b*d*x^7*x^m*e^m + B*a*c*m^3*x^3*x^m*e^m + A*b*c*m^3*x^3*x^m*e^m + A*a*d*m^3*x^3*x^m*e^m + 31*B*b*c*m*x^5*x^m*e^m + 31*B*a*d*m*x^5*x^m*e^m + 31*A*b*d*m*x^5*x^m*e^m + 13*B*a*c*m^2*x^3*x^m*e^m + 13*A*b*c*m^2*x^3*x^m*e^m + 13*A*a*d*m^2*x^3*x^m*e^m + 21*B*b*c*x^5*x^m*e^m + 21*B*a*d*x^5*x^m*e^m + 21*A*b*d*x^5*x^m*e^m + A*a*c*m^3*x*x^m*e^m + 47*B*a*c*m*x^3*x^m*e^m + 47*A*b*c*m*x^3*x^m*e^m + 47*A*a*d*m*x^3*x^m*e^m + 15*A*a*c*m^2*x*x^m*e^m + 35*B*a*c*x^3*x^m*e^m + 35*A*b*c*x^3*x^m*e^m + 35*A*a*d*x^3*x^m*e^m + 71*A*a*c*m*x*x^m*e^m + 105*A*a*c*x*x^m*e^m)/(m^4 + 16*m^3 + 86*m^2 + 176*m + 105)","B",0
4,1,167,0,0.498790," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c),x, algorithm=""giac"")","\frac{B d m^{2} x^{5} x^{m} e^{m} + 4 \, B d m x^{5} x^{m} e^{m} + B c m^{2} x^{3} x^{m} e^{m} + A d m^{2} x^{3} x^{m} e^{m} + 3 \, B d x^{5} x^{m} e^{m} + 6 \, B c m x^{3} x^{m} e^{m} + 6 \, A d m x^{3} x^{m} e^{m} + A c m^{2} x x^{m} e^{m} + 5 \, B c x^{3} x^{m} e^{m} + 5 \, A d x^{3} x^{m} e^{m} + 8 \, A c m x x^{m} e^{m} + 15 \, A c x x^{m} e^{m}}{m^{3} + 9 \, m^{2} + 23 \, m + 15}"," ",0,"(B*d*m^2*x^5*x^m*e^m + 4*B*d*m*x^5*x^m*e^m + B*c*m^2*x^3*x^m*e^m + A*d*m^2*x^3*x^m*e^m + 3*B*d*x^5*x^m*e^m + 6*B*c*m*x^3*x^m*e^m + 6*A*d*m*x^3*x^m*e^m + A*c*m^2*x*x^m*e^m + 5*B*c*x^3*x^m*e^m + 5*A*d*x^3*x^m*e^m + 8*A*c*m*x*x^m*e^m + 15*A*c*x*x^m*e^m)/(m^3 + 9*m^2 + 23*m + 15)","B",0
5,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)} \left(e x\right)^{m}}{b x^{2} + a}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)*(e*x)^m/(b*x^2 + a), x)","F",0
6,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)/(b*x^2+a)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)*(e*x)^m/(b*x^2 + a)^2, x)","F",0
7,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)/(b*x^2+a)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)*(e*x)^m/(b*x^2 + a)^3, x)","F",0
8,1,3283,0,0.814357," ","integrate((e*x)^m*(b*x^2+a)^3*(B*x^2+A)*(d*x^2+c)^2,x, algorithm=""giac"")","\frac{B b^{3} d^{2} m^{6} x^{13} x^{m} e^{m} + 36 \, B b^{3} d^{2} m^{5} x^{13} x^{m} e^{m} + 2 \, B b^{3} c d m^{6} x^{11} x^{m} e^{m} + 3 \, B a b^{2} d^{2} m^{6} x^{11} x^{m} e^{m} + A b^{3} d^{2} m^{6} x^{11} x^{m} e^{m} + 505 \, B b^{3} d^{2} m^{4} x^{13} x^{m} e^{m} + 76 \, B b^{3} c d m^{5} x^{11} x^{m} e^{m} + 114 \, B a b^{2} d^{2} m^{5} x^{11} x^{m} e^{m} + 38 \, A b^{3} d^{2} m^{5} x^{11} x^{m} e^{m} + 3480 \, B b^{3} d^{2} m^{3} x^{13} x^{m} e^{m} + B b^{3} c^{2} m^{6} x^{9} x^{m} e^{m} + 6 \, B a b^{2} c d m^{6} x^{9} x^{m} e^{m} + 2 \, A b^{3} c d m^{6} x^{9} x^{m} e^{m} + 3 \, B a^{2} b d^{2} m^{6} x^{9} x^{m} e^{m} + 3 \, A a b^{2} d^{2} m^{6} x^{9} x^{m} e^{m} + 1110 \, B b^{3} c d m^{4} x^{11} x^{m} e^{m} + 1665 \, B a b^{2} d^{2} m^{4} x^{11} x^{m} e^{m} + 555 \, A b^{3} d^{2} m^{4} x^{11} x^{m} e^{m} + 12139 \, B b^{3} d^{2} m^{2} x^{13} x^{m} e^{m} + 40 \, B b^{3} c^{2} m^{5} x^{9} x^{m} e^{m} + 240 \, B a b^{2} c d m^{5} x^{9} x^{m} e^{m} + 80 \, A b^{3} c d m^{5} x^{9} x^{m} e^{m} + 120 \, B a^{2} b d^{2} m^{5} x^{9} x^{m} e^{m} + 120 \, A a b^{2} d^{2} m^{5} x^{9} x^{m} e^{m} + 7880 \, B b^{3} c d m^{3} x^{11} x^{m} e^{m} + 11820 \, B a b^{2} d^{2} m^{3} x^{11} x^{m} e^{m} + 3940 \, A b^{3} d^{2} m^{3} x^{11} x^{m} e^{m} + 19524 \, B b^{3} d^{2} m x^{13} x^{m} e^{m} + 3 \, B a b^{2} c^{2} m^{6} x^{7} x^{m} e^{m} + A b^{3} c^{2} m^{6} x^{7} x^{m} e^{m} + 6 \, B a^{2} b c d m^{6} x^{7} x^{m} e^{m} + 6 \, A a b^{2} c d m^{6} x^{7} x^{m} e^{m} + B a^{3} d^{2} m^{6} x^{7} x^{m} e^{m} + 3 \, A a^{2} b d^{2} m^{6} x^{7} x^{m} e^{m} + 613 \, B b^{3} c^{2} m^{4} x^{9} x^{m} e^{m} + 3678 \, B a b^{2} c d m^{4} x^{9} x^{m} e^{m} + 1226 \, A b^{3} c d m^{4} x^{9} x^{m} e^{m} + 1839 \, B a^{2} b d^{2} m^{4} x^{9} x^{m} e^{m} + 1839 \, A a b^{2} d^{2} m^{4} x^{9} x^{m} e^{m} + 28078 \, B b^{3} c d m^{2} x^{11} x^{m} e^{m} + 42117 \, B a b^{2} d^{2} m^{2} x^{11} x^{m} e^{m} + 14039 \, A b^{3} d^{2} m^{2} x^{11} x^{m} e^{m} + 10395 \, B b^{3} d^{2} x^{13} x^{m} e^{m} + 126 \, B a b^{2} c^{2} m^{5} x^{7} x^{m} e^{m} + 42 \, A b^{3} c^{2} m^{5} x^{7} x^{m} e^{m} + 252 \, B a^{2} b c d m^{5} x^{7} x^{m} e^{m} + 252 \, A a b^{2} c d m^{5} x^{7} x^{m} e^{m} + 42 \, B a^{3} d^{2} m^{5} x^{7} x^{m} e^{m} + 126 \, A a^{2} b d^{2} m^{5} x^{7} x^{m} e^{m} + 4528 \, B b^{3} c^{2} m^{3} x^{9} x^{m} e^{m} + 27168 \, B a b^{2} c d m^{3} x^{9} x^{m} e^{m} + 9056 \, A b^{3} c d m^{3} x^{9} x^{m} e^{m} + 13584 \, B a^{2} b d^{2} m^{3} x^{9} x^{m} e^{m} + 13584 \, A a b^{2} d^{2} m^{3} x^{9} x^{m} e^{m} + 45804 \, B b^{3} c d m x^{11} x^{m} e^{m} + 68706 \, B a b^{2} d^{2} m x^{11} x^{m} e^{m} + 22902 \, A b^{3} d^{2} m x^{11} x^{m} e^{m} + 3 \, B a^{2} b c^{2} m^{6} x^{5} x^{m} e^{m} + 3 \, A a b^{2} c^{2} m^{6} x^{5} x^{m} e^{m} + 2 \, B a^{3} c d m^{6} x^{5} x^{m} e^{m} + 6 \, A a^{2} b c d m^{6} x^{5} x^{m} e^{m} + A a^{3} d^{2} m^{6} x^{5} x^{m} e^{m} + 2037 \, B a b^{2} c^{2} m^{4} x^{7} x^{m} e^{m} + 679 \, A b^{3} c^{2} m^{4} x^{7} x^{m} e^{m} + 4074 \, B a^{2} b c d m^{4} x^{7} x^{m} e^{m} + 4074 \, A a b^{2} c d m^{4} x^{7} x^{m} e^{m} + 679 \, B a^{3} d^{2} m^{4} x^{7} x^{m} e^{m} + 2037 \, A a^{2} b d^{2} m^{4} x^{7} x^{m} e^{m} + 16627 \, B b^{3} c^{2} m^{2} x^{9} x^{m} e^{m} + 99762 \, B a b^{2} c d m^{2} x^{9} x^{m} e^{m} + 33254 \, A b^{3} c d m^{2} x^{9} x^{m} e^{m} + 49881 \, B a^{2} b d^{2} m^{2} x^{9} x^{m} e^{m} + 49881 \, A a b^{2} d^{2} m^{2} x^{9} x^{m} e^{m} + 24570 \, B b^{3} c d x^{11} x^{m} e^{m} + 36855 \, B a b^{2} d^{2} x^{11} x^{m} e^{m} + 12285 \, A b^{3} d^{2} x^{11} x^{m} e^{m} + 132 \, B a^{2} b c^{2} m^{5} x^{5} x^{m} e^{m} + 132 \, A a b^{2} c^{2} m^{5} x^{5} x^{m} e^{m} + 88 \, B a^{3} c d m^{5} x^{5} x^{m} e^{m} + 264 \, A a^{2} b c d m^{5} x^{5} x^{m} e^{m} + 44 \, A a^{3} d^{2} m^{5} x^{5} x^{m} e^{m} + 15876 \, B a b^{2} c^{2} m^{3} x^{7} x^{m} e^{m} + 5292 \, A b^{3} c^{2} m^{3} x^{7} x^{m} e^{m} + 31752 \, B a^{2} b c d m^{3} x^{7} x^{m} e^{m} + 31752 \, A a b^{2} c d m^{3} x^{7} x^{m} e^{m} + 5292 \, B a^{3} d^{2} m^{3} x^{7} x^{m} e^{m} + 15876 \, A a^{2} b d^{2} m^{3} x^{7} x^{m} e^{m} + 27688 \, B b^{3} c^{2} m x^{9} x^{m} e^{m} + 166128 \, B a b^{2} c d m x^{9} x^{m} e^{m} + 55376 \, A b^{3} c d m x^{9} x^{m} e^{m} + 83064 \, B a^{2} b d^{2} m x^{9} x^{m} e^{m} + 83064 \, A a b^{2} d^{2} m x^{9} x^{m} e^{m} + B a^{3} c^{2} m^{6} x^{3} x^{m} e^{m} + 3 \, A a^{2} b c^{2} m^{6} x^{3} x^{m} e^{m} + 2 \, A a^{3} c d m^{6} x^{3} x^{m} e^{m} + 2259 \, B a^{2} b c^{2} m^{4} x^{5} x^{m} e^{m} + 2259 \, A a b^{2} c^{2} m^{4} x^{5} x^{m} e^{m} + 1506 \, B a^{3} c d m^{4} x^{5} x^{m} e^{m} + 4518 \, A a^{2} b c d m^{4} x^{5} x^{m} e^{m} + 753 \, A a^{3} d^{2} m^{4} x^{5} x^{m} e^{m} + 61005 \, B a b^{2} c^{2} m^{2} x^{7} x^{m} e^{m} + 20335 \, A b^{3} c^{2} m^{2} x^{7} x^{m} e^{m} + 122010 \, B a^{2} b c d m^{2} x^{7} x^{m} e^{m} + 122010 \, A a b^{2} c d m^{2} x^{7} x^{m} e^{m} + 20335 \, B a^{3} d^{2} m^{2} x^{7} x^{m} e^{m} + 61005 \, A a^{2} b d^{2} m^{2} x^{7} x^{m} e^{m} + 15015 \, B b^{3} c^{2} x^{9} x^{m} e^{m} + 90090 \, B a b^{2} c d x^{9} x^{m} e^{m} + 30030 \, A b^{3} c d x^{9} x^{m} e^{m} + 45045 \, B a^{2} b d^{2} x^{9} x^{m} e^{m} + 45045 \, A a b^{2} d^{2} x^{9} x^{m} e^{m} + 46 \, B a^{3} c^{2} m^{5} x^{3} x^{m} e^{m} + 138 \, A a^{2} b c^{2} m^{5} x^{3} x^{m} e^{m} + 92 \, A a^{3} c d m^{5} x^{3} x^{m} e^{m} + 18840 \, B a^{2} b c^{2} m^{3} x^{5} x^{m} e^{m} + 18840 \, A a b^{2} c^{2} m^{3} x^{5} x^{m} e^{m} + 12560 \, B a^{3} c d m^{3} x^{5} x^{m} e^{m} + 37680 \, A a^{2} b c d m^{3} x^{5} x^{m} e^{m} + 6280 \, A a^{3} d^{2} m^{3} x^{5} x^{m} e^{m} + 104958 \, B a b^{2} c^{2} m x^{7} x^{m} e^{m} + 34986 \, A b^{3} c^{2} m x^{7} x^{m} e^{m} + 209916 \, B a^{2} b c d m x^{7} x^{m} e^{m} + 209916 \, A a b^{2} c d m x^{7} x^{m} e^{m} + 34986 \, B a^{3} d^{2} m x^{7} x^{m} e^{m} + 104958 \, A a^{2} b d^{2} m x^{7} x^{m} e^{m} + A a^{3} c^{2} m^{6} x x^{m} e^{m} + 835 \, B a^{3} c^{2} m^{4} x^{3} x^{m} e^{m} + 2505 \, A a^{2} b c^{2} m^{4} x^{3} x^{m} e^{m} + 1670 \, A a^{3} c d m^{4} x^{3} x^{m} e^{m} + 77937 \, B a^{2} b c^{2} m^{2} x^{5} x^{m} e^{m} + 77937 \, A a b^{2} c^{2} m^{2} x^{5} x^{m} e^{m} + 51958 \, B a^{3} c d m^{2} x^{5} x^{m} e^{m} + 155874 \, A a^{2} b c d m^{2} x^{5} x^{m} e^{m} + 25979 \, A a^{3} d^{2} m^{2} x^{5} x^{m} e^{m} + 57915 \, B a b^{2} c^{2} x^{7} x^{m} e^{m} + 19305 \, A b^{3} c^{2} x^{7} x^{m} e^{m} + 115830 \, B a^{2} b c d x^{7} x^{m} e^{m} + 115830 \, A a b^{2} c d x^{7} x^{m} e^{m} + 19305 \, B a^{3} d^{2} x^{7} x^{m} e^{m} + 57915 \, A a^{2} b d^{2} x^{7} x^{m} e^{m} + 48 \, A a^{3} c^{2} m^{5} x x^{m} e^{m} + 7540 \, B a^{3} c^{2} m^{3} x^{3} x^{m} e^{m} + 22620 \, A a^{2} b c^{2} m^{3} x^{3} x^{m} e^{m} + 15080 \, A a^{3} c d m^{3} x^{3} x^{m} e^{m} + 142308 \, B a^{2} b c^{2} m x^{5} x^{m} e^{m} + 142308 \, A a b^{2} c^{2} m x^{5} x^{m} e^{m} + 94872 \, B a^{3} c d m x^{5} x^{m} e^{m} + 284616 \, A a^{2} b c d m x^{5} x^{m} e^{m} + 47436 \, A a^{3} d^{2} m x^{5} x^{m} e^{m} + 925 \, A a^{3} c^{2} m^{4} x x^{m} e^{m} + 34759 \, B a^{3} c^{2} m^{2} x^{3} x^{m} e^{m} + 104277 \, A a^{2} b c^{2} m^{2} x^{3} x^{m} e^{m} + 69518 \, A a^{3} c d m^{2} x^{3} x^{m} e^{m} + 81081 \, B a^{2} b c^{2} x^{5} x^{m} e^{m} + 81081 \, A a b^{2} c^{2} x^{5} x^{m} e^{m} + 54054 \, B a^{3} c d x^{5} x^{m} e^{m} + 162162 \, A a^{2} b c d x^{5} x^{m} e^{m} + 27027 \, A a^{3} d^{2} x^{5} x^{m} e^{m} + 9120 \, A a^{3} c^{2} m^{3} x x^{m} e^{m} + 73054 \, B a^{3} c^{2} m x^{3} x^{m} e^{m} + 219162 \, A a^{2} b c^{2} m x^{3} x^{m} e^{m} + 146108 \, A a^{3} c d m x^{3} x^{m} e^{m} + 48259 \, A a^{3} c^{2} m^{2} x x^{m} e^{m} + 45045 \, B a^{3} c^{2} x^{3} x^{m} e^{m} + 135135 \, A a^{2} b c^{2} x^{3} x^{m} e^{m} + 90090 \, A a^{3} c d x^{3} x^{m} e^{m} + 129072 \, A a^{3} c^{2} m x x^{m} e^{m} + 135135 \, A a^{3} c^{2} x x^{m} e^{m}}{m^{7} + 49 \, m^{6} + 973 \, m^{5} + 10045 \, m^{4} + 57379 \, m^{3} + 177331 \, m^{2} + 264207 \, m + 135135}"," ",0,"(B*b^3*d^2*m^6*x^13*x^m*e^m + 36*B*b^3*d^2*m^5*x^13*x^m*e^m + 2*B*b^3*c*d*m^6*x^11*x^m*e^m + 3*B*a*b^2*d^2*m^6*x^11*x^m*e^m + A*b^3*d^2*m^6*x^11*x^m*e^m + 505*B*b^3*d^2*m^4*x^13*x^m*e^m + 76*B*b^3*c*d*m^5*x^11*x^m*e^m + 114*B*a*b^2*d^2*m^5*x^11*x^m*e^m + 38*A*b^3*d^2*m^5*x^11*x^m*e^m + 3480*B*b^3*d^2*m^3*x^13*x^m*e^m + B*b^3*c^2*m^6*x^9*x^m*e^m + 6*B*a*b^2*c*d*m^6*x^9*x^m*e^m + 2*A*b^3*c*d*m^6*x^9*x^m*e^m + 3*B*a^2*b*d^2*m^6*x^9*x^m*e^m + 3*A*a*b^2*d^2*m^6*x^9*x^m*e^m + 1110*B*b^3*c*d*m^4*x^11*x^m*e^m + 1665*B*a*b^2*d^2*m^4*x^11*x^m*e^m + 555*A*b^3*d^2*m^4*x^11*x^m*e^m + 12139*B*b^3*d^2*m^2*x^13*x^m*e^m + 40*B*b^3*c^2*m^5*x^9*x^m*e^m + 240*B*a*b^2*c*d*m^5*x^9*x^m*e^m + 80*A*b^3*c*d*m^5*x^9*x^m*e^m + 120*B*a^2*b*d^2*m^5*x^9*x^m*e^m + 120*A*a*b^2*d^2*m^5*x^9*x^m*e^m + 7880*B*b^3*c*d*m^3*x^11*x^m*e^m + 11820*B*a*b^2*d^2*m^3*x^11*x^m*e^m + 3940*A*b^3*d^2*m^3*x^11*x^m*e^m + 19524*B*b^3*d^2*m*x^13*x^m*e^m + 3*B*a*b^2*c^2*m^6*x^7*x^m*e^m + A*b^3*c^2*m^6*x^7*x^m*e^m + 6*B*a^2*b*c*d*m^6*x^7*x^m*e^m + 6*A*a*b^2*c*d*m^6*x^7*x^m*e^m + B*a^3*d^2*m^6*x^7*x^m*e^m + 3*A*a^2*b*d^2*m^6*x^7*x^m*e^m + 613*B*b^3*c^2*m^4*x^9*x^m*e^m + 3678*B*a*b^2*c*d*m^4*x^9*x^m*e^m + 1226*A*b^3*c*d*m^4*x^9*x^m*e^m + 1839*B*a^2*b*d^2*m^4*x^9*x^m*e^m + 1839*A*a*b^2*d^2*m^4*x^9*x^m*e^m + 28078*B*b^3*c*d*m^2*x^11*x^m*e^m + 42117*B*a*b^2*d^2*m^2*x^11*x^m*e^m + 14039*A*b^3*d^2*m^2*x^11*x^m*e^m + 10395*B*b^3*d^2*x^13*x^m*e^m + 126*B*a*b^2*c^2*m^5*x^7*x^m*e^m + 42*A*b^3*c^2*m^5*x^7*x^m*e^m + 252*B*a^2*b*c*d*m^5*x^7*x^m*e^m + 252*A*a*b^2*c*d*m^5*x^7*x^m*e^m + 42*B*a^3*d^2*m^5*x^7*x^m*e^m + 126*A*a^2*b*d^2*m^5*x^7*x^m*e^m + 4528*B*b^3*c^2*m^3*x^9*x^m*e^m + 27168*B*a*b^2*c*d*m^3*x^9*x^m*e^m + 9056*A*b^3*c*d*m^3*x^9*x^m*e^m + 13584*B*a^2*b*d^2*m^3*x^9*x^m*e^m + 13584*A*a*b^2*d^2*m^3*x^9*x^m*e^m + 45804*B*b^3*c*d*m*x^11*x^m*e^m + 68706*B*a*b^2*d^2*m*x^11*x^m*e^m + 22902*A*b^3*d^2*m*x^11*x^m*e^m + 3*B*a^2*b*c^2*m^6*x^5*x^m*e^m + 3*A*a*b^2*c^2*m^6*x^5*x^m*e^m + 2*B*a^3*c*d*m^6*x^5*x^m*e^m + 6*A*a^2*b*c*d*m^6*x^5*x^m*e^m + A*a^3*d^2*m^6*x^5*x^m*e^m + 2037*B*a*b^2*c^2*m^4*x^7*x^m*e^m + 679*A*b^3*c^2*m^4*x^7*x^m*e^m + 4074*B*a^2*b*c*d*m^4*x^7*x^m*e^m + 4074*A*a*b^2*c*d*m^4*x^7*x^m*e^m + 679*B*a^3*d^2*m^4*x^7*x^m*e^m + 2037*A*a^2*b*d^2*m^4*x^7*x^m*e^m + 16627*B*b^3*c^2*m^2*x^9*x^m*e^m + 99762*B*a*b^2*c*d*m^2*x^9*x^m*e^m + 33254*A*b^3*c*d*m^2*x^9*x^m*e^m + 49881*B*a^2*b*d^2*m^2*x^9*x^m*e^m + 49881*A*a*b^2*d^2*m^2*x^9*x^m*e^m + 24570*B*b^3*c*d*x^11*x^m*e^m + 36855*B*a*b^2*d^2*x^11*x^m*e^m + 12285*A*b^3*d^2*x^11*x^m*e^m + 132*B*a^2*b*c^2*m^5*x^5*x^m*e^m + 132*A*a*b^2*c^2*m^5*x^5*x^m*e^m + 88*B*a^3*c*d*m^5*x^5*x^m*e^m + 264*A*a^2*b*c*d*m^5*x^5*x^m*e^m + 44*A*a^3*d^2*m^5*x^5*x^m*e^m + 15876*B*a*b^2*c^2*m^3*x^7*x^m*e^m + 5292*A*b^3*c^2*m^3*x^7*x^m*e^m + 31752*B*a^2*b*c*d*m^3*x^7*x^m*e^m + 31752*A*a*b^2*c*d*m^3*x^7*x^m*e^m + 5292*B*a^3*d^2*m^3*x^7*x^m*e^m + 15876*A*a^2*b*d^2*m^3*x^7*x^m*e^m + 27688*B*b^3*c^2*m*x^9*x^m*e^m + 166128*B*a*b^2*c*d*m*x^9*x^m*e^m + 55376*A*b^3*c*d*m*x^9*x^m*e^m + 83064*B*a^2*b*d^2*m*x^9*x^m*e^m + 83064*A*a*b^2*d^2*m*x^9*x^m*e^m + B*a^3*c^2*m^6*x^3*x^m*e^m + 3*A*a^2*b*c^2*m^6*x^3*x^m*e^m + 2*A*a^3*c*d*m^6*x^3*x^m*e^m + 2259*B*a^2*b*c^2*m^4*x^5*x^m*e^m + 2259*A*a*b^2*c^2*m^4*x^5*x^m*e^m + 1506*B*a^3*c*d*m^4*x^5*x^m*e^m + 4518*A*a^2*b*c*d*m^4*x^5*x^m*e^m + 753*A*a^3*d^2*m^4*x^5*x^m*e^m + 61005*B*a*b^2*c^2*m^2*x^7*x^m*e^m + 20335*A*b^3*c^2*m^2*x^7*x^m*e^m + 122010*B*a^2*b*c*d*m^2*x^7*x^m*e^m + 122010*A*a*b^2*c*d*m^2*x^7*x^m*e^m + 20335*B*a^3*d^2*m^2*x^7*x^m*e^m + 61005*A*a^2*b*d^2*m^2*x^7*x^m*e^m + 15015*B*b^3*c^2*x^9*x^m*e^m + 90090*B*a*b^2*c*d*x^9*x^m*e^m + 30030*A*b^3*c*d*x^9*x^m*e^m + 45045*B*a^2*b*d^2*x^9*x^m*e^m + 45045*A*a*b^2*d^2*x^9*x^m*e^m + 46*B*a^3*c^2*m^5*x^3*x^m*e^m + 138*A*a^2*b*c^2*m^5*x^3*x^m*e^m + 92*A*a^3*c*d*m^5*x^3*x^m*e^m + 18840*B*a^2*b*c^2*m^3*x^5*x^m*e^m + 18840*A*a*b^2*c^2*m^3*x^5*x^m*e^m + 12560*B*a^3*c*d*m^3*x^5*x^m*e^m + 37680*A*a^2*b*c*d*m^3*x^5*x^m*e^m + 6280*A*a^3*d^2*m^3*x^5*x^m*e^m + 104958*B*a*b^2*c^2*m*x^7*x^m*e^m + 34986*A*b^3*c^2*m*x^7*x^m*e^m + 209916*B*a^2*b*c*d*m*x^7*x^m*e^m + 209916*A*a*b^2*c*d*m*x^7*x^m*e^m + 34986*B*a^3*d^2*m*x^7*x^m*e^m + 104958*A*a^2*b*d^2*m*x^7*x^m*e^m + A*a^3*c^2*m^6*x*x^m*e^m + 835*B*a^3*c^2*m^4*x^3*x^m*e^m + 2505*A*a^2*b*c^2*m^4*x^3*x^m*e^m + 1670*A*a^3*c*d*m^4*x^3*x^m*e^m + 77937*B*a^2*b*c^2*m^2*x^5*x^m*e^m + 77937*A*a*b^2*c^2*m^2*x^5*x^m*e^m + 51958*B*a^3*c*d*m^2*x^5*x^m*e^m + 155874*A*a^2*b*c*d*m^2*x^5*x^m*e^m + 25979*A*a^3*d^2*m^2*x^5*x^m*e^m + 57915*B*a*b^2*c^2*x^7*x^m*e^m + 19305*A*b^3*c^2*x^7*x^m*e^m + 115830*B*a^2*b*c*d*x^7*x^m*e^m + 115830*A*a*b^2*c*d*x^7*x^m*e^m + 19305*B*a^3*d^2*x^7*x^m*e^m + 57915*A*a^2*b*d^2*x^7*x^m*e^m + 48*A*a^3*c^2*m^5*x*x^m*e^m + 7540*B*a^3*c^2*m^3*x^3*x^m*e^m + 22620*A*a^2*b*c^2*m^3*x^3*x^m*e^m + 15080*A*a^3*c*d*m^3*x^3*x^m*e^m + 142308*B*a^2*b*c^2*m*x^5*x^m*e^m + 142308*A*a*b^2*c^2*m*x^5*x^m*e^m + 94872*B*a^3*c*d*m*x^5*x^m*e^m + 284616*A*a^2*b*c*d*m*x^5*x^m*e^m + 47436*A*a^3*d^2*m*x^5*x^m*e^m + 925*A*a^3*c^2*m^4*x*x^m*e^m + 34759*B*a^3*c^2*m^2*x^3*x^m*e^m + 104277*A*a^2*b*c^2*m^2*x^3*x^m*e^m + 69518*A*a^3*c*d*m^2*x^3*x^m*e^m + 81081*B*a^2*b*c^2*x^5*x^m*e^m + 81081*A*a*b^2*c^2*x^5*x^m*e^m + 54054*B*a^3*c*d*x^5*x^m*e^m + 162162*A*a^2*b*c*d*x^5*x^m*e^m + 27027*A*a^3*d^2*x^5*x^m*e^m + 9120*A*a^3*c^2*m^3*x*x^m*e^m + 73054*B*a^3*c^2*m*x^3*x^m*e^m + 219162*A*a^2*b*c^2*m*x^3*x^m*e^m + 146108*A*a^3*c*d*m*x^3*x^m*e^m + 48259*A*a^3*c^2*m^2*x*x^m*e^m + 45045*B*a^3*c^2*x^3*x^m*e^m + 135135*A*a^2*b*c^2*x^3*x^m*e^m + 90090*A*a^3*c*d*x^3*x^m*e^m + 129072*A*a^3*c^2*m*x*x^m*e^m + 135135*A*a^3*c^2*x*x^m*e^m)/(m^7 + 49*m^6 + 973*m^5 + 10045*m^4 + 57379*m^3 + 177331*m^2 + 264207*m + 135135)","B",0
9,1,2010,0,0.677269," ","integrate((e*x)^m*(b*x^2+a)^2*(B*x^2+A)*(d*x^2+c)^2,x, algorithm=""giac"")","\frac{B b^{2} d^{2} m^{5} x^{11} x^{m} e^{m} + 25 \, B b^{2} d^{2} m^{4} x^{11} x^{m} e^{m} + 2 \, B b^{2} c d m^{5} x^{9} x^{m} e^{m} + 2 \, B a b d^{2} m^{5} x^{9} x^{m} e^{m} + A b^{2} d^{2} m^{5} x^{9} x^{m} e^{m} + 230 \, B b^{2} d^{2} m^{3} x^{11} x^{m} e^{m} + 54 \, B b^{2} c d m^{4} x^{9} x^{m} e^{m} + 54 \, B a b d^{2} m^{4} x^{9} x^{m} e^{m} + 27 \, A b^{2} d^{2} m^{4} x^{9} x^{m} e^{m} + 950 \, B b^{2} d^{2} m^{2} x^{11} x^{m} e^{m} + B b^{2} c^{2} m^{5} x^{7} x^{m} e^{m} + 4 \, B a b c d m^{5} x^{7} x^{m} e^{m} + 2 \, A b^{2} c d m^{5} x^{7} x^{m} e^{m} + B a^{2} d^{2} m^{5} x^{7} x^{m} e^{m} + 2 \, A a b d^{2} m^{5} x^{7} x^{m} e^{m} + 524 \, B b^{2} c d m^{3} x^{9} x^{m} e^{m} + 524 \, B a b d^{2} m^{3} x^{9} x^{m} e^{m} + 262 \, A b^{2} d^{2} m^{3} x^{9} x^{m} e^{m} + 1689 \, B b^{2} d^{2} m x^{11} x^{m} e^{m} + 29 \, B b^{2} c^{2} m^{4} x^{7} x^{m} e^{m} + 116 \, B a b c d m^{4} x^{7} x^{m} e^{m} + 58 \, A b^{2} c d m^{4} x^{7} x^{m} e^{m} + 29 \, B a^{2} d^{2} m^{4} x^{7} x^{m} e^{m} + 58 \, A a b d^{2} m^{4} x^{7} x^{m} e^{m} + 2244 \, B b^{2} c d m^{2} x^{9} x^{m} e^{m} + 2244 \, B a b d^{2} m^{2} x^{9} x^{m} e^{m} + 1122 \, A b^{2} d^{2} m^{2} x^{9} x^{m} e^{m} + 945 \, B b^{2} d^{2} x^{11} x^{m} e^{m} + 2 \, B a b c^{2} m^{5} x^{5} x^{m} e^{m} + A b^{2} c^{2} m^{5} x^{5} x^{m} e^{m} + 2 \, B a^{2} c d m^{5} x^{5} x^{m} e^{m} + 4 \, A a b c d m^{5} x^{5} x^{m} e^{m} + A a^{2} d^{2} m^{5} x^{5} x^{m} e^{m} + 302 \, B b^{2} c^{2} m^{3} x^{7} x^{m} e^{m} + 1208 \, B a b c d m^{3} x^{7} x^{m} e^{m} + 604 \, A b^{2} c d m^{3} x^{7} x^{m} e^{m} + 302 \, B a^{2} d^{2} m^{3} x^{7} x^{m} e^{m} + 604 \, A a b d^{2} m^{3} x^{7} x^{m} e^{m} + 4082 \, B b^{2} c d m x^{9} x^{m} e^{m} + 4082 \, B a b d^{2} m x^{9} x^{m} e^{m} + 2041 \, A b^{2} d^{2} m x^{9} x^{m} e^{m} + 62 \, B a b c^{2} m^{4} x^{5} x^{m} e^{m} + 31 \, A b^{2} c^{2} m^{4} x^{5} x^{m} e^{m} + 62 \, B a^{2} c d m^{4} x^{5} x^{m} e^{m} + 124 \, A a b c d m^{4} x^{5} x^{m} e^{m} + 31 \, A a^{2} d^{2} m^{4} x^{5} x^{m} e^{m} + 1366 \, B b^{2} c^{2} m^{2} x^{7} x^{m} e^{m} + 5464 \, B a b c d m^{2} x^{7} x^{m} e^{m} + 2732 \, A b^{2} c d m^{2} x^{7} x^{m} e^{m} + 1366 \, B a^{2} d^{2} m^{2} x^{7} x^{m} e^{m} + 2732 \, A a b d^{2} m^{2} x^{7} x^{m} e^{m} + 2310 \, B b^{2} c d x^{9} x^{m} e^{m} + 2310 \, B a b d^{2} x^{9} x^{m} e^{m} + 1155 \, A b^{2} d^{2} x^{9} x^{m} e^{m} + B a^{2} c^{2} m^{5} x^{3} x^{m} e^{m} + 2 \, A a b c^{2} m^{5} x^{3} x^{m} e^{m} + 2 \, A a^{2} c d m^{5} x^{3} x^{m} e^{m} + 700 \, B a b c^{2} m^{3} x^{5} x^{m} e^{m} + 350 \, A b^{2} c^{2} m^{3} x^{5} x^{m} e^{m} + 700 \, B a^{2} c d m^{3} x^{5} x^{m} e^{m} + 1400 \, A a b c d m^{3} x^{5} x^{m} e^{m} + 350 \, A a^{2} d^{2} m^{3} x^{5} x^{m} e^{m} + 2577 \, B b^{2} c^{2} m x^{7} x^{m} e^{m} + 10308 \, B a b c d m x^{7} x^{m} e^{m} + 5154 \, A b^{2} c d m x^{7} x^{m} e^{m} + 2577 \, B a^{2} d^{2} m x^{7} x^{m} e^{m} + 5154 \, A a b d^{2} m x^{7} x^{m} e^{m} + 33 \, B a^{2} c^{2} m^{4} x^{3} x^{m} e^{m} + 66 \, A a b c^{2} m^{4} x^{3} x^{m} e^{m} + 66 \, A a^{2} c d m^{4} x^{3} x^{m} e^{m} + 3460 \, B a b c^{2} m^{2} x^{5} x^{m} e^{m} + 1730 \, A b^{2} c^{2} m^{2} x^{5} x^{m} e^{m} + 3460 \, B a^{2} c d m^{2} x^{5} x^{m} e^{m} + 6920 \, A a b c d m^{2} x^{5} x^{m} e^{m} + 1730 \, A a^{2} d^{2} m^{2} x^{5} x^{m} e^{m} + 1485 \, B b^{2} c^{2} x^{7} x^{m} e^{m} + 5940 \, B a b c d x^{7} x^{m} e^{m} + 2970 \, A b^{2} c d x^{7} x^{m} e^{m} + 1485 \, B a^{2} d^{2} x^{7} x^{m} e^{m} + 2970 \, A a b d^{2} x^{7} x^{m} e^{m} + A a^{2} c^{2} m^{5} x x^{m} e^{m} + 406 \, B a^{2} c^{2} m^{3} x^{3} x^{m} e^{m} + 812 \, A a b c^{2} m^{3} x^{3} x^{m} e^{m} + 812 \, A a^{2} c d m^{3} x^{3} x^{m} e^{m} + 6978 \, B a b c^{2} m x^{5} x^{m} e^{m} + 3489 \, A b^{2} c^{2} m x^{5} x^{m} e^{m} + 6978 \, B a^{2} c d m x^{5} x^{m} e^{m} + 13956 \, A a b c d m x^{5} x^{m} e^{m} + 3489 \, A a^{2} d^{2} m x^{5} x^{m} e^{m} + 35 \, A a^{2} c^{2} m^{4} x x^{m} e^{m} + 2262 \, B a^{2} c^{2} m^{2} x^{3} x^{m} e^{m} + 4524 \, A a b c^{2} m^{2} x^{3} x^{m} e^{m} + 4524 \, A a^{2} c d m^{2} x^{3} x^{m} e^{m} + 4158 \, B a b c^{2} x^{5} x^{m} e^{m} + 2079 \, A b^{2} c^{2} x^{5} x^{m} e^{m} + 4158 \, B a^{2} c d x^{5} x^{m} e^{m} + 8316 \, A a b c d x^{5} x^{m} e^{m} + 2079 \, A a^{2} d^{2} x^{5} x^{m} e^{m} + 470 \, A a^{2} c^{2} m^{3} x x^{m} e^{m} + 5353 \, B a^{2} c^{2} m x^{3} x^{m} e^{m} + 10706 \, A a b c^{2} m x^{3} x^{m} e^{m} + 10706 \, A a^{2} c d m x^{3} x^{m} e^{m} + 3010 \, A a^{2} c^{2} m^{2} x x^{m} e^{m} + 3465 \, B a^{2} c^{2} x^{3} x^{m} e^{m} + 6930 \, A a b c^{2} x^{3} x^{m} e^{m} + 6930 \, A a^{2} c d x^{3} x^{m} e^{m} + 9129 \, A a^{2} c^{2} m x x^{m} e^{m} + 10395 \, A a^{2} c^{2} x x^{m} e^{m}}{m^{6} + 36 \, m^{5} + 505 \, m^{4} + 3480 \, m^{3} + 12139 \, m^{2} + 19524 \, m + 10395}"," ",0,"(B*b^2*d^2*m^5*x^11*x^m*e^m + 25*B*b^2*d^2*m^4*x^11*x^m*e^m + 2*B*b^2*c*d*m^5*x^9*x^m*e^m + 2*B*a*b*d^2*m^5*x^9*x^m*e^m + A*b^2*d^2*m^5*x^9*x^m*e^m + 230*B*b^2*d^2*m^3*x^11*x^m*e^m + 54*B*b^2*c*d*m^4*x^9*x^m*e^m + 54*B*a*b*d^2*m^4*x^9*x^m*e^m + 27*A*b^2*d^2*m^4*x^9*x^m*e^m + 950*B*b^2*d^2*m^2*x^11*x^m*e^m + B*b^2*c^2*m^5*x^7*x^m*e^m + 4*B*a*b*c*d*m^5*x^7*x^m*e^m + 2*A*b^2*c*d*m^5*x^7*x^m*e^m + B*a^2*d^2*m^5*x^7*x^m*e^m + 2*A*a*b*d^2*m^5*x^7*x^m*e^m + 524*B*b^2*c*d*m^3*x^9*x^m*e^m + 524*B*a*b*d^2*m^3*x^9*x^m*e^m + 262*A*b^2*d^2*m^3*x^9*x^m*e^m + 1689*B*b^2*d^2*m*x^11*x^m*e^m + 29*B*b^2*c^2*m^4*x^7*x^m*e^m + 116*B*a*b*c*d*m^4*x^7*x^m*e^m + 58*A*b^2*c*d*m^4*x^7*x^m*e^m + 29*B*a^2*d^2*m^4*x^7*x^m*e^m + 58*A*a*b*d^2*m^4*x^7*x^m*e^m + 2244*B*b^2*c*d*m^2*x^9*x^m*e^m + 2244*B*a*b*d^2*m^2*x^9*x^m*e^m + 1122*A*b^2*d^2*m^2*x^9*x^m*e^m + 945*B*b^2*d^2*x^11*x^m*e^m + 2*B*a*b*c^2*m^5*x^5*x^m*e^m + A*b^2*c^2*m^5*x^5*x^m*e^m + 2*B*a^2*c*d*m^5*x^5*x^m*e^m + 4*A*a*b*c*d*m^5*x^5*x^m*e^m + A*a^2*d^2*m^5*x^5*x^m*e^m + 302*B*b^2*c^2*m^3*x^7*x^m*e^m + 1208*B*a*b*c*d*m^3*x^7*x^m*e^m + 604*A*b^2*c*d*m^3*x^7*x^m*e^m + 302*B*a^2*d^2*m^3*x^7*x^m*e^m + 604*A*a*b*d^2*m^3*x^7*x^m*e^m + 4082*B*b^2*c*d*m*x^9*x^m*e^m + 4082*B*a*b*d^2*m*x^9*x^m*e^m + 2041*A*b^2*d^2*m*x^9*x^m*e^m + 62*B*a*b*c^2*m^4*x^5*x^m*e^m + 31*A*b^2*c^2*m^4*x^5*x^m*e^m + 62*B*a^2*c*d*m^4*x^5*x^m*e^m + 124*A*a*b*c*d*m^4*x^5*x^m*e^m + 31*A*a^2*d^2*m^4*x^5*x^m*e^m + 1366*B*b^2*c^2*m^2*x^7*x^m*e^m + 5464*B*a*b*c*d*m^2*x^7*x^m*e^m + 2732*A*b^2*c*d*m^2*x^7*x^m*e^m + 1366*B*a^2*d^2*m^2*x^7*x^m*e^m + 2732*A*a*b*d^2*m^2*x^7*x^m*e^m + 2310*B*b^2*c*d*x^9*x^m*e^m + 2310*B*a*b*d^2*x^9*x^m*e^m + 1155*A*b^2*d^2*x^9*x^m*e^m + B*a^2*c^2*m^5*x^3*x^m*e^m + 2*A*a*b*c^2*m^5*x^3*x^m*e^m + 2*A*a^2*c*d*m^5*x^3*x^m*e^m + 700*B*a*b*c^2*m^3*x^5*x^m*e^m + 350*A*b^2*c^2*m^3*x^5*x^m*e^m + 700*B*a^2*c*d*m^3*x^5*x^m*e^m + 1400*A*a*b*c*d*m^3*x^5*x^m*e^m + 350*A*a^2*d^2*m^3*x^5*x^m*e^m + 2577*B*b^2*c^2*m*x^7*x^m*e^m + 10308*B*a*b*c*d*m*x^7*x^m*e^m + 5154*A*b^2*c*d*m*x^7*x^m*e^m + 2577*B*a^2*d^2*m*x^7*x^m*e^m + 5154*A*a*b*d^2*m*x^7*x^m*e^m + 33*B*a^2*c^2*m^4*x^3*x^m*e^m + 66*A*a*b*c^2*m^4*x^3*x^m*e^m + 66*A*a^2*c*d*m^4*x^3*x^m*e^m + 3460*B*a*b*c^2*m^2*x^5*x^m*e^m + 1730*A*b^2*c^2*m^2*x^5*x^m*e^m + 3460*B*a^2*c*d*m^2*x^5*x^m*e^m + 6920*A*a*b*c*d*m^2*x^5*x^m*e^m + 1730*A*a^2*d^2*m^2*x^5*x^m*e^m + 1485*B*b^2*c^2*x^7*x^m*e^m + 5940*B*a*b*c*d*x^7*x^m*e^m + 2970*A*b^2*c*d*x^7*x^m*e^m + 1485*B*a^2*d^2*x^7*x^m*e^m + 2970*A*a*b*d^2*x^7*x^m*e^m + A*a^2*c^2*m^5*x*x^m*e^m + 406*B*a^2*c^2*m^3*x^3*x^m*e^m + 812*A*a*b*c^2*m^3*x^3*x^m*e^m + 812*A*a^2*c*d*m^3*x^3*x^m*e^m + 6978*B*a*b*c^2*m*x^5*x^m*e^m + 3489*A*b^2*c^2*m*x^5*x^m*e^m + 6978*B*a^2*c*d*m*x^5*x^m*e^m + 13956*A*a*b*c*d*m*x^5*x^m*e^m + 3489*A*a^2*d^2*m*x^5*x^m*e^m + 35*A*a^2*c^2*m^4*x*x^m*e^m + 2262*B*a^2*c^2*m^2*x^3*x^m*e^m + 4524*A*a*b*c^2*m^2*x^3*x^m*e^m + 4524*A*a^2*c*d*m^2*x^3*x^m*e^m + 4158*B*a*b*c^2*x^5*x^m*e^m + 2079*A*b^2*c^2*x^5*x^m*e^m + 4158*B*a^2*c*d*x^5*x^m*e^m + 8316*A*a*b*c*d*x^5*x^m*e^m + 2079*A*a^2*d^2*x^5*x^m*e^m + 470*A*a^2*c^2*m^3*x*x^m*e^m + 5353*B*a^2*c^2*m*x^3*x^m*e^m + 10706*A*a*b*c^2*m*x^3*x^m*e^m + 10706*A*a^2*c*d*m*x^3*x^m*e^m + 3010*A*a^2*c^2*m^2*x*x^m*e^m + 3465*B*a^2*c^2*x^3*x^m*e^m + 6930*A*a*b*c^2*x^3*x^m*e^m + 6930*A*a^2*c*d*x^3*x^m*e^m + 9129*A*a^2*c^2*m*x*x^m*e^m + 10395*A*a^2*c^2*x*x^m*e^m)/(m^6 + 36*m^5 + 505*m^4 + 3480*m^3 + 12139*m^2 + 19524*m + 10395)","B",0
10,1,1009,0,0.638108," ","integrate((e*x)^m*(b*x^2+a)*(B*x^2+A)*(d*x^2+c)^2,x, algorithm=""giac"")","\frac{B b d^{2} m^{4} x^{9} x^{m} e^{m} + 16 \, B b d^{2} m^{3} x^{9} x^{m} e^{m} + 2 \, B b c d m^{4} x^{7} x^{m} e^{m} + B a d^{2} m^{4} x^{7} x^{m} e^{m} + A b d^{2} m^{4} x^{7} x^{m} e^{m} + 86 \, B b d^{2} m^{2} x^{9} x^{m} e^{m} + 36 \, B b c d m^{3} x^{7} x^{m} e^{m} + 18 \, B a d^{2} m^{3} x^{7} x^{m} e^{m} + 18 \, A b d^{2} m^{3} x^{7} x^{m} e^{m} + 176 \, B b d^{2} m x^{9} x^{m} e^{m} + B b c^{2} m^{4} x^{5} x^{m} e^{m} + 2 \, B a c d m^{4} x^{5} x^{m} e^{m} + 2 \, A b c d m^{4} x^{5} x^{m} e^{m} + A a d^{2} m^{4} x^{5} x^{m} e^{m} + 208 \, B b c d m^{2} x^{7} x^{m} e^{m} + 104 \, B a d^{2} m^{2} x^{7} x^{m} e^{m} + 104 \, A b d^{2} m^{2} x^{7} x^{m} e^{m} + 105 \, B b d^{2} x^{9} x^{m} e^{m} + 20 \, B b c^{2} m^{3} x^{5} x^{m} e^{m} + 40 \, B a c d m^{3} x^{5} x^{m} e^{m} + 40 \, A b c d m^{3} x^{5} x^{m} e^{m} + 20 \, A a d^{2} m^{3} x^{5} x^{m} e^{m} + 444 \, B b c d m x^{7} x^{m} e^{m} + 222 \, B a d^{2} m x^{7} x^{m} e^{m} + 222 \, A b d^{2} m x^{7} x^{m} e^{m} + B a c^{2} m^{4} x^{3} x^{m} e^{m} + A b c^{2} m^{4} x^{3} x^{m} e^{m} + 2 \, A a c d m^{4} x^{3} x^{m} e^{m} + 130 \, B b c^{2} m^{2} x^{5} x^{m} e^{m} + 260 \, B a c d m^{2} x^{5} x^{m} e^{m} + 260 \, A b c d m^{2} x^{5} x^{m} e^{m} + 130 \, A a d^{2} m^{2} x^{5} x^{m} e^{m} + 270 \, B b c d x^{7} x^{m} e^{m} + 135 \, B a d^{2} x^{7} x^{m} e^{m} + 135 \, A b d^{2} x^{7} x^{m} e^{m} + 22 \, B a c^{2} m^{3} x^{3} x^{m} e^{m} + 22 \, A b c^{2} m^{3} x^{3} x^{m} e^{m} + 44 \, A a c d m^{3} x^{3} x^{m} e^{m} + 300 \, B b c^{2} m x^{5} x^{m} e^{m} + 600 \, B a c d m x^{5} x^{m} e^{m} + 600 \, A b c d m x^{5} x^{m} e^{m} + 300 \, A a d^{2} m x^{5} x^{m} e^{m} + A a c^{2} m^{4} x x^{m} e^{m} + 164 \, B a c^{2} m^{2} x^{3} x^{m} e^{m} + 164 \, A b c^{2} m^{2} x^{3} x^{m} e^{m} + 328 \, A a c d m^{2} x^{3} x^{m} e^{m} + 189 \, B b c^{2} x^{5} x^{m} e^{m} + 378 \, B a c d x^{5} x^{m} e^{m} + 378 \, A b c d x^{5} x^{m} e^{m} + 189 \, A a d^{2} x^{5} x^{m} e^{m} + 24 \, A a c^{2} m^{3} x x^{m} e^{m} + 458 \, B a c^{2} m x^{3} x^{m} e^{m} + 458 \, A b c^{2} m x^{3} x^{m} e^{m} + 916 \, A a c d m x^{3} x^{m} e^{m} + 206 \, A a c^{2} m^{2} x x^{m} e^{m} + 315 \, B a c^{2} x^{3} x^{m} e^{m} + 315 \, A b c^{2} x^{3} x^{m} e^{m} + 630 \, A a c d x^{3} x^{m} e^{m} + 744 \, A a c^{2} m x x^{m} e^{m} + 945 \, A a c^{2} x x^{m} e^{m}}{m^{5} + 25 \, m^{4} + 230 \, m^{3} + 950 \, m^{2} + 1689 \, m + 945}"," ",0,"(B*b*d^2*m^4*x^9*x^m*e^m + 16*B*b*d^2*m^3*x^9*x^m*e^m + 2*B*b*c*d*m^4*x^7*x^m*e^m + B*a*d^2*m^4*x^7*x^m*e^m + A*b*d^2*m^4*x^7*x^m*e^m + 86*B*b*d^2*m^2*x^9*x^m*e^m + 36*B*b*c*d*m^3*x^7*x^m*e^m + 18*B*a*d^2*m^3*x^7*x^m*e^m + 18*A*b*d^2*m^3*x^7*x^m*e^m + 176*B*b*d^2*m*x^9*x^m*e^m + B*b*c^2*m^4*x^5*x^m*e^m + 2*B*a*c*d*m^4*x^5*x^m*e^m + 2*A*b*c*d*m^4*x^5*x^m*e^m + A*a*d^2*m^4*x^5*x^m*e^m + 208*B*b*c*d*m^2*x^7*x^m*e^m + 104*B*a*d^2*m^2*x^7*x^m*e^m + 104*A*b*d^2*m^2*x^7*x^m*e^m + 105*B*b*d^2*x^9*x^m*e^m + 20*B*b*c^2*m^3*x^5*x^m*e^m + 40*B*a*c*d*m^3*x^5*x^m*e^m + 40*A*b*c*d*m^3*x^5*x^m*e^m + 20*A*a*d^2*m^3*x^5*x^m*e^m + 444*B*b*c*d*m*x^7*x^m*e^m + 222*B*a*d^2*m*x^7*x^m*e^m + 222*A*b*d^2*m*x^7*x^m*e^m + B*a*c^2*m^4*x^3*x^m*e^m + A*b*c^2*m^4*x^3*x^m*e^m + 2*A*a*c*d*m^4*x^3*x^m*e^m + 130*B*b*c^2*m^2*x^5*x^m*e^m + 260*B*a*c*d*m^2*x^5*x^m*e^m + 260*A*b*c*d*m^2*x^5*x^m*e^m + 130*A*a*d^2*m^2*x^5*x^m*e^m + 270*B*b*c*d*x^7*x^m*e^m + 135*B*a*d^2*x^7*x^m*e^m + 135*A*b*d^2*x^7*x^m*e^m + 22*B*a*c^2*m^3*x^3*x^m*e^m + 22*A*b*c^2*m^3*x^3*x^m*e^m + 44*A*a*c*d*m^3*x^3*x^m*e^m + 300*B*b*c^2*m*x^5*x^m*e^m + 600*B*a*c*d*m*x^5*x^m*e^m + 600*A*b*c*d*m*x^5*x^m*e^m + 300*A*a*d^2*m*x^5*x^m*e^m + A*a*c^2*m^4*x*x^m*e^m + 164*B*a*c^2*m^2*x^3*x^m*e^m + 164*A*b*c^2*m^2*x^3*x^m*e^m + 328*A*a*c*d*m^2*x^3*x^m*e^m + 189*B*b*c^2*x^5*x^m*e^m + 378*B*a*c*d*x^5*x^m*e^m + 378*A*b*c*d*x^5*x^m*e^m + 189*A*a*d^2*x^5*x^m*e^m + 24*A*a*c^2*m^3*x*x^m*e^m + 458*B*a*c^2*m*x^3*x^m*e^m + 458*A*b*c^2*m*x^3*x^m*e^m + 916*A*a*c*d*m*x^3*x^m*e^m + 206*A*a*c^2*m^2*x*x^m*e^m + 315*B*a*c^2*x^3*x^m*e^m + 315*A*b*c^2*x^3*x^m*e^m + 630*A*a*c*d*x^3*x^m*e^m + 744*A*a*c^2*m*x*x^m*e^m + 945*A*a*c^2*x*x^m*e^m)/(m^5 + 25*m^4 + 230*m^3 + 950*m^2 + 1689*m + 945)","B",0
11,1,380,0,0.453697," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)^2,x, algorithm=""giac"")","\frac{B d^{2} m^{3} x^{7} x^{m} e^{m} + 9 \, B d^{2} m^{2} x^{7} x^{m} e^{m} + 2 \, B c d m^{3} x^{5} x^{m} e^{m} + A d^{2} m^{3} x^{5} x^{m} e^{m} + 23 \, B d^{2} m x^{7} x^{m} e^{m} + 22 \, B c d m^{2} x^{5} x^{m} e^{m} + 11 \, A d^{2} m^{2} x^{5} x^{m} e^{m} + 15 \, B d^{2} x^{7} x^{m} e^{m} + B c^{2} m^{3} x^{3} x^{m} e^{m} + 2 \, A c d m^{3} x^{3} x^{m} e^{m} + 62 \, B c d m x^{5} x^{m} e^{m} + 31 \, A d^{2} m x^{5} x^{m} e^{m} + 13 \, B c^{2} m^{2} x^{3} x^{m} e^{m} + 26 \, A c d m^{2} x^{3} x^{m} e^{m} + 42 \, B c d x^{5} x^{m} e^{m} + 21 \, A d^{2} x^{5} x^{m} e^{m} + A c^{2} m^{3} x x^{m} e^{m} + 47 \, B c^{2} m x^{3} x^{m} e^{m} + 94 \, A c d m x^{3} x^{m} e^{m} + 15 \, A c^{2} m^{2} x x^{m} e^{m} + 35 \, B c^{2} x^{3} x^{m} e^{m} + 70 \, A c d x^{3} x^{m} e^{m} + 71 \, A c^{2} m x x^{m} e^{m} + 105 \, A c^{2} x x^{m} e^{m}}{m^{4} + 16 \, m^{3} + 86 \, m^{2} + 176 \, m + 105}"," ",0,"(B*d^2*m^3*x^7*x^m*e^m + 9*B*d^2*m^2*x^7*x^m*e^m + 2*B*c*d*m^3*x^5*x^m*e^m + A*d^2*m^3*x^5*x^m*e^m + 23*B*d^2*m*x^7*x^m*e^m + 22*B*c*d*m^2*x^5*x^m*e^m + 11*A*d^2*m^2*x^5*x^m*e^m + 15*B*d^2*x^7*x^m*e^m + B*c^2*m^3*x^3*x^m*e^m + 2*A*c*d*m^3*x^3*x^m*e^m + 62*B*c*d*m*x^5*x^m*e^m + 31*A*d^2*m*x^5*x^m*e^m + 13*B*c^2*m^2*x^3*x^m*e^m + 26*A*c*d*m^2*x^3*x^m*e^m + 42*B*c*d*x^5*x^m*e^m + 21*A*d^2*x^5*x^m*e^m + A*c^2*m^3*x*x^m*e^m + 47*B*c^2*m*x^3*x^m*e^m + 94*A*c*d*m*x^3*x^m*e^m + 15*A*c^2*m^2*x*x^m*e^m + 35*B*c^2*x^3*x^m*e^m + 70*A*c*d*x^3*x^m*e^m + 71*A*c^2*m*x*x^m*e^m + 105*A*c^2*x*x^m*e^m)/(m^4 + 16*m^3 + 86*m^2 + 176*m + 105)","B",0
12,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)^2/(b*x^2+a),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)}^{2} \left(e x\right)^{m}}{b x^{2} + a}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)^2*(e*x)^m/(b*x^2 + a), x)","F",0
13,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)^2/(b*x^2+a)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)}^{2} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)^2*(e*x)^m/(b*x^2 + a)^2, x)","F",0
14,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)^2/(b*x^2+a)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)}^{2} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)^2*(e*x)^m/(b*x^2 + a)^3, x)","F",0
15,1,5234,0,1.048694," ","integrate((e*x)^m*(b*x^2+a)^3*(B*x^2+A)*(d*x^2+c)^3,x, algorithm=""giac"")","\frac{B b^{3} d^{3} m^{7} x^{15} x^{m} e^{m} + 49 \, B b^{3} d^{3} m^{6} x^{15} x^{m} e^{m} + 3 \, B b^{3} c d^{2} m^{7} x^{13} x^{m} e^{m} + 3 \, B a b^{2} d^{3} m^{7} x^{13} x^{m} e^{m} + A b^{3} d^{3} m^{7} x^{13} x^{m} e^{m} + 973 \, B b^{3} d^{3} m^{5} x^{15} x^{m} e^{m} + 153 \, B b^{3} c d^{2} m^{6} x^{13} x^{m} e^{m} + 153 \, B a b^{2} d^{3} m^{6} x^{13} x^{m} e^{m} + 51 \, A b^{3} d^{3} m^{6} x^{13} x^{m} e^{m} + 10045 \, B b^{3} d^{3} m^{4} x^{15} x^{m} e^{m} + 3 \, B b^{3} c^{2} d m^{7} x^{11} x^{m} e^{m} + 9 \, B a b^{2} c d^{2} m^{7} x^{11} x^{m} e^{m} + 3 \, A b^{3} c d^{2} m^{7} x^{11} x^{m} e^{m} + 3 \, B a^{2} b d^{3} m^{7} x^{11} x^{m} e^{m} + 3 \, A a b^{2} d^{3} m^{7} x^{11} x^{m} e^{m} + 3135 \, B b^{3} c d^{2} m^{5} x^{13} x^{m} e^{m} + 3135 \, B a b^{2} d^{3} m^{5} x^{13} x^{m} e^{m} + 1045 \, A b^{3} d^{3} m^{5} x^{13} x^{m} e^{m} + 57379 \, B b^{3} d^{3} m^{3} x^{15} x^{m} e^{m} + 159 \, B b^{3} c^{2} d m^{6} x^{11} x^{m} e^{m} + 477 \, B a b^{2} c d^{2} m^{6} x^{11} x^{m} e^{m} + 159 \, A b^{3} c d^{2} m^{6} x^{11} x^{m} e^{m} + 159 \, B a^{2} b d^{3} m^{6} x^{11} x^{m} e^{m} + 159 \, A a b^{2} d^{3} m^{6} x^{11} x^{m} e^{m} + 33165 \, B b^{3} c d^{2} m^{4} x^{13} x^{m} e^{m} + 33165 \, B a b^{2} d^{3} m^{4} x^{13} x^{m} e^{m} + 11055 \, A b^{3} d^{3} m^{4} x^{13} x^{m} e^{m} + 177331 \, B b^{3} d^{3} m^{2} x^{15} x^{m} e^{m} + B b^{3} c^{3} m^{7} x^{9} x^{m} e^{m} + 9 \, B a b^{2} c^{2} d m^{7} x^{9} x^{m} e^{m} + 3 \, A b^{3} c^{2} d m^{7} x^{9} x^{m} e^{m} + 9 \, B a^{2} b c d^{2} m^{7} x^{9} x^{m} e^{m} + 9 \, A a b^{2} c d^{2} m^{7} x^{9} x^{m} e^{m} + B a^{3} d^{3} m^{7} x^{9} x^{m} e^{m} + 3 \, A a^{2} b d^{3} m^{7} x^{9} x^{m} e^{m} + 3375 \, B b^{3} c^{2} d m^{5} x^{11} x^{m} e^{m} + 10125 \, B a b^{2} c d^{2} m^{5} x^{11} x^{m} e^{m} + 3375 \, A b^{3} c d^{2} m^{5} x^{11} x^{m} e^{m} + 3375 \, B a^{2} b d^{3} m^{5} x^{11} x^{m} e^{m} + 3375 \, A a b^{2} d^{3} m^{5} x^{11} x^{m} e^{m} + 193017 \, B b^{3} c d^{2} m^{3} x^{13} x^{m} e^{m} + 193017 \, B a b^{2} d^{3} m^{3} x^{13} x^{m} e^{m} + 64339 \, A b^{3} d^{3} m^{3} x^{13} x^{m} e^{m} + 264207 \, B b^{3} d^{3} m x^{15} x^{m} e^{m} + 55 \, B b^{3} c^{3} m^{6} x^{9} x^{m} e^{m} + 495 \, B a b^{2} c^{2} d m^{6} x^{9} x^{m} e^{m} + 165 \, A b^{3} c^{2} d m^{6} x^{9} x^{m} e^{m} + 495 \, B a^{2} b c d^{2} m^{6} x^{9} x^{m} e^{m} + 495 \, A a b^{2} c d^{2} m^{6} x^{9} x^{m} e^{m} + 55 \, B a^{3} d^{3} m^{6} x^{9} x^{m} e^{m} + 165 \, A a^{2} b d^{3} m^{6} x^{9} x^{m} e^{m} + 36795 \, B b^{3} c^{2} d m^{4} x^{11} x^{m} e^{m} + 110385 \, B a b^{2} c d^{2} m^{4} x^{11} x^{m} e^{m} + 36795 \, A b^{3} c d^{2} m^{4} x^{11} x^{m} e^{m} + 36795 \, B a^{2} b d^{3} m^{4} x^{11} x^{m} e^{m} + 36795 \, A a b^{2} d^{3} m^{4} x^{11} x^{m} e^{m} + 604827 \, B b^{3} c d^{2} m^{2} x^{13} x^{m} e^{m} + 604827 \, B a b^{2} d^{3} m^{2} x^{13} x^{m} e^{m} + 201609 \, A b^{3} d^{3} m^{2} x^{13} x^{m} e^{m} + 135135 \, B b^{3} d^{3} x^{15} x^{m} e^{m} + 3 \, B a b^{2} c^{3} m^{7} x^{7} x^{m} e^{m} + A b^{3} c^{3} m^{7} x^{7} x^{m} e^{m} + 9 \, B a^{2} b c^{2} d m^{7} x^{7} x^{m} e^{m} + 9 \, A a b^{2} c^{2} d m^{7} x^{7} x^{m} e^{m} + 3 \, B a^{3} c d^{2} m^{7} x^{7} x^{m} e^{m} + 9 \, A a^{2} b c d^{2} m^{7} x^{7} x^{m} e^{m} + A a^{3} d^{3} m^{7} x^{7} x^{m} e^{m} + 1213 \, B b^{3} c^{3} m^{5} x^{9} x^{m} e^{m} + 10917 \, B a b^{2} c^{2} d m^{5} x^{9} x^{m} e^{m} + 3639 \, A b^{3} c^{2} d m^{5} x^{9} x^{m} e^{m} + 10917 \, B a^{2} b c d^{2} m^{5} x^{9} x^{m} e^{m} + 10917 \, A a b^{2} c d^{2} m^{5} x^{9} x^{m} e^{m} + 1213 \, B a^{3} d^{3} m^{5} x^{9} x^{m} e^{m} + 3639 \, A a^{2} b d^{3} m^{5} x^{9} x^{m} e^{m} + 219417 \, B b^{3} c^{2} d m^{3} x^{11} x^{m} e^{m} + 658251 \, B a b^{2} c d^{2} m^{3} x^{11} x^{m} e^{m} + 219417 \, A b^{3} c d^{2} m^{3} x^{11} x^{m} e^{m} + 219417 \, B a^{2} b d^{3} m^{3} x^{11} x^{m} e^{m} + 219417 \, A a b^{2} d^{3} m^{3} x^{11} x^{m} e^{m} + 909765 \, B b^{3} c d^{2} m x^{13} x^{m} e^{m} + 909765 \, B a b^{2} d^{3} m x^{13} x^{m} e^{m} + 303255 \, A b^{3} d^{3} m x^{13} x^{m} e^{m} + 171 \, B a b^{2} c^{3} m^{6} x^{7} x^{m} e^{m} + 57 \, A b^{3} c^{3} m^{6} x^{7} x^{m} e^{m} + 513 \, B a^{2} b c^{2} d m^{6} x^{7} x^{m} e^{m} + 513 \, A a b^{2} c^{2} d m^{6} x^{7} x^{m} e^{m} + 171 \, B a^{3} c d^{2} m^{6} x^{7} x^{m} e^{m} + 513 \, A a^{2} b c d^{2} m^{6} x^{7} x^{m} e^{m} + 57 \, A a^{3} d^{3} m^{6} x^{7} x^{m} e^{m} + 13723 \, B b^{3} c^{3} m^{4} x^{9} x^{m} e^{m} + 123507 \, B a b^{2} c^{2} d m^{4} x^{9} x^{m} e^{m} + 41169 \, A b^{3} c^{2} d m^{4} x^{9} x^{m} e^{m} + 123507 \, B a^{2} b c d^{2} m^{4} x^{9} x^{m} e^{m} + 123507 \, A a b^{2} c d^{2} m^{4} x^{9} x^{m} e^{m} + 13723 \, B a^{3} d^{3} m^{4} x^{9} x^{m} e^{m} + 41169 \, A a^{2} b d^{3} m^{4} x^{9} x^{m} e^{m} + 700461 \, B b^{3} c^{2} d m^{2} x^{11} x^{m} e^{m} + 2101383 \, B a b^{2} c d^{2} m^{2} x^{11} x^{m} e^{m} + 700461 \, A b^{3} c d^{2} m^{2} x^{11} x^{m} e^{m} + 700461 \, B a^{2} b d^{3} m^{2} x^{11} x^{m} e^{m} + 700461 \, A a b^{2} d^{3} m^{2} x^{11} x^{m} e^{m} + 467775 \, B b^{3} c d^{2} x^{13} x^{m} e^{m} + 467775 \, B a b^{2} d^{3} x^{13} x^{m} e^{m} + 155925 \, A b^{3} d^{3} x^{13} x^{m} e^{m} + 3 \, B a^{2} b c^{3} m^{7} x^{5} x^{m} e^{m} + 3 \, A a b^{2} c^{3} m^{7} x^{5} x^{m} e^{m} + 3 \, B a^{3} c^{2} d m^{7} x^{5} x^{m} e^{m} + 9 \, A a^{2} b c^{2} d m^{7} x^{5} x^{m} e^{m} + 3 \, A a^{3} c d^{2} m^{7} x^{5} x^{m} e^{m} + 3927 \, B a b^{2} c^{3} m^{5} x^{7} x^{m} e^{m} + 1309 \, A b^{3} c^{3} m^{5} x^{7} x^{m} e^{m} + 11781 \, B a^{2} b c^{2} d m^{5} x^{7} x^{m} e^{m} + 11781 \, A a b^{2} c^{2} d m^{5} x^{7} x^{m} e^{m} + 3927 \, B a^{3} c d^{2} m^{5} x^{7} x^{m} e^{m} + 11781 \, A a^{2} b c d^{2} m^{5} x^{7} x^{m} e^{m} + 1309 \, A a^{3} d^{3} m^{5} x^{7} x^{m} e^{m} + 84547 \, B b^{3} c^{3} m^{3} x^{9} x^{m} e^{m} + 760923 \, B a b^{2} c^{2} d m^{3} x^{9} x^{m} e^{m} + 253641 \, A b^{3} c^{2} d m^{3} x^{9} x^{m} e^{m} + 760923 \, B a^{2} b c d^{2} m^{3} x^{9} x^{m} e^{m} + 760923 \, A a b^{2} c d^{2} m^{3} x^{9} x^{m} e^{m} + 84547 \, B a^{3} d^{3} m^{3} x^{9} x^{m} e^{m} + 253641 \, A a^{2} b d^{3} m^{3} x^{9} x^{m} e^{m} + 1067445 \, B b^{3} c^{2} d m x^{11} x^{m} e^{m} + 3202335 \, B a b^{2} c d^{2} m x^{11} x^{m} e^{m} + 1067445 \, A b^{3} c d^{2} m x^{11} x^{m} e^{m} + 1067445 \, B a^{2} b d^{3} m x^{11} x^{m} e^{m} + 1067445 \, A a b^{2} d^{3} m x^{11} x^{m} e^{m} + 177 \, B a^{2} b c^{3} m^{6} x^{5} x^{m} e^{m} + 177 \, A a b^{2} c^{3} m^{6} x^{5} x^{m} e^{m} + 177 \, B a^{3} c^{2} d m^{6} x^{5} x^{m} e^{m} + 531 \, A a^{2} b c^{2} d m^{6} x^{5} x^{m} e^{m} + 177 \, A a^{3} c d^{2} m^{6} x^{5} x^{m} e^{m} + 46431 \, B a b^{2} c^{3} m^{4} x^{7} x^{m} e^{m} + 15477 \, A b^{3} c^{3} m^{4} x^{7} x^{m} e^{m} + 139293 \, B a^{2} b c^{2} d m^{4} x^{7} x^{m} e^{m} + 139293 \, A a b^{2} c^{2} d m^{4} x^{7} x^{m} e^{m} + 46431 \, B a^{3} c d^{2} m^{4} x^{7} x^{m} e^{m} + 139293 \, A a^{2} b c d^{2} m^{4} x^{7} x^{m} e^{m} + 15477 \, A a^{3} d^{3} m^{4} x^{7} x^{m} e^{m} + 277093 \, B b^{3} c^{3} m^{2} x^{9} x^{m} e^{m} + 2493837 \, B a b^{2} c^{2} d m^{2} x^{9} x^{m} e^{m} + 831279 \, A b^{3} c^{2} d m^{2} x^{9} x^{m} e^{m} + 2493837 \, B a^{2} b c d^{2} m^{2} x^{9} x^{m} e^{m} + 2493837 \, A a b^{2} c d^{2} m^{2} x^{9} x^{m} e^{m} + 277093 \, B a^{3} d^{3} m^{2} x^{9} x^{m} e^{m} + 831279 \, A a^{2} b d^{3} m^{2} x^{9} x^{m} e^{m} + 552825 \, B b^{3} c^{2} d x^{11} x^{m} e^{m} + 1658475 \, B a b^{2} c d^{2} x^{11} x^{m} e^{m} + 552825 \, A b^{3} c d^{2} x^{11} x^{m} e^{m} + 552825 \, B a^{2} b d^{3} x^{11} x^{m} e^{m} + 552825 \, A a b^{2} d^{3} x^{11} x^{m} e^{m} + B a^{3} c^{3} m^{7} x^{3} x^{m} e^{m} + 3 \, A a^{2} b c^{3} m^{7} x^{3} x^{m} e^{m} + 3 \, A a^{3} c^{2} d m^{7} x^{3} x^{m} e^{m} + 4239 \, B a^{2} b c^{3} m^{5} x^{5} x^{m} e^{m} + 4239 \, A a b^{2} c^{3} m^{5} x^{5} x^{m} e^{m} + 4239 \, B a^{3} c^{2} d m^{5} x^{5} x^{m} e^{m} + 12717 \, A a^{2} b c^{2} d m^{5} x^{5} x^{m} e^{m} + 4239 \, A a^{3} c d^{2} m^{5} x^{5} x^{m} e^{m} + 299145 \, B a b^{2} c^{3} m^{3} x^{7} x^{m} e^{m} + 99715 \, A b^{3} c^{3} m^{3} x^{7} x^{m} e^{m} + 897435 \, B a^{2} b c^{2} d m^{3} x^{7} x^{m} e^{m} + 897435 \, A a b^{2} c^{2} d m^{3} x^{7} x^{m} e^{m} + 299145 \, B a^{3} c d^{2} m^{3} x^{7} x^{m} e^{m} + 897435 \, A a^{2} b c d^{2} m^{3} x^{7} x^{m} e^{m} + 99715 \, A a^{3} d^{3} m^{3} x^{7} x^{m} e^{m} + 430335 \, B b^{3} c^{3} m x^{9} x^{m} e^{m} + 3873015 \, B a b^{2} c^{2} d m x^{9} x^{m} e^{m} + 1291005 \, A b^{3} c^{2} d m x^{9} x^{m} e^{m} + 3873015 \, B a^{2} b c d^{2} m x^{9} x^{m} e^{m} + 3873015 \, A a b^{2} c d^{2} m x^{9} x^{m} e^{m} + 430335 \, B a^{3} d^{3} m x^{9} x^{m} e^{m} + 1291005 \, A a^{2} b d^{3} m x^{9} x^{m} e^{m} + 61 \, B a^{3} c^{3} m^{6} x^{3} x^{m} e^{m} + 183 \, A a^{2} b c^{3} m^{6} x^{3} x^{m} e^{m} + 183 \, A a^{3} c^{2} d m^{6} x^{3} x^{m} e^{m} + 52725 \, B a^{2} b c^{3} m^{4} x^{5} x^{m} e^{m} + 52725 \, A a b^{2} c^{3} m^{4} x^{5} x^{m} e^{m} + 52725 \, B a^{3} c^{2} d m^{4} x^{5} x^{m} e^{m} + 158175 \, A a^{2} b c^{2} d m^{4} x^{5} x^{m} e^{m} + 52725 \, A a^{3} c d^{2} m^{4} x^{5} x^{m} e^{m} + 1020033 \, B a b^{2} c^{3} m^{2} x^{7} x^{m} e^{m} + 340011 \, A b^{3} c^{3} m^{2} x^{7} x^{m} e^{m} + 3060099 \, B a^{2} b c^{2} d m^{2} x^{7} x^{m} e^{m} + 3060099 \, A a b^{2} c^{2} d m^{2} x^{7} x^{m} e^{m} + 1020033 \, B a^{3} c d^{2} m^{2} x^{7} x^{m} e^{m} + 3060099 \, A a^{2} b c d^{2} m^{2} x^{7} x^{m} e^{m} + 340011 \, A a^{3} d^{3} m^{2} x^{7} x^{m} e^{m} + 225225 \, B b^{3} c^{3} x^{9} x^{m} e^{m} + 2027025 \, B a b^{2} c^{2} d x^{9} x^{m} e^{m} + 675675 \, A b^{3} c^{2} d x^{9} x^{m} e^{m} + 2027025 \, B a^{2} b c d^{2} x^{9} x^{m} e^{m} + 2027025 \, A a b^{2} c d^{2} x^{9} x^{m} e^{m} + 225225 \, B a^{3} d^{3} x^{9} x^{m} e^{m} + 675675 \, A a^{2} b d^{3} x^{9} x^{m} e^{m} + A a^{3} c^{3} m^{7} x x^{m} e^{m} + 1525 \, B a^{3} c^{3} m^{5} x^{3} x^{m} e^{m} + 4575 \, A a^{2} b c^{3} m^{5} x^{3} x^{m} e^{m} + 4575 \, A a^{3} c^{2} d m^{5} x^{3} x^{m} e^{m} + 360537 \, B a^{2} b c^{3} m^{3} x^{5} x^{m} e^{m} + 360537 \, A a b^{2} c^{3} m^{3} x^{5} x^{m} e^{m} + 360537 \, B a^{3} c^{2} d m^{3} x^{5} x^{m} e^{m} + 1081611 \, A a^{2} b c^{2} d m^{3} x^{5} x^{m} e^{m} + 360537 \, A a^{3} c d^{2} m^{3} x^{5} x^{m} e^{m} + 1632285 \, B a b^{2} c^{3} m x^{7} x^{m} e^{m} + 544095 \, A b^{3} c^{3} m x^{7} x^{m} e^{m} + 4896855 \, B a^{2} b c^{2} d m x^{7} x^{m} e^{m} + 4896855 \, A a b^{2} c^{2} d m x^{7} x^{m} e^{m} + 1632285 \, B a^{3} c d^{2} m x^{7} x^{m} e^{m} + 4896855 \, A a^{2} b c d^{2} m x^{7} x^{m} e^{m} + 544095 \, A a^{3} d^{3} m x^{7} x^{m} e^{m} + 63 \, A a^{3} c^{3} m^{6} x x^{m} e^{m} + 20065 \, B a^{3} c^{3} m^{4} x^{3} x^{m} e^{m} + 60195 \, A a^{2} b c^{3} m^{4} x^{3} x^{m} e^{m} + 60195 \, A a^{3} c^{2} d m^{4} x^{3} x^{m} e^{m} + 1311363 \, B a^{2} b c^{3} m^{2} x^{5} x^{m} e^{m} + 1311363 \, A a b^{2} c^{3} m^{2} x^{5} x^{m} e^{m} + 1311363 \, B a^{3} 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2606175*A*a*b^2*c^2*d*x^7*x^m*e^m + 868725*B*a^3*c*d^2*x^7*x^m*e^m + 2606175*A*a^2*b*c*d^2*x^7*x^m*e^m + 289575*A*a^3*d^3*x^7*x^m*e^m + 1645*A*a^3*c^3*m^5*x*x^m*e^m + 147859*B*a^3*c^3*m^3*x^3*x^m*e^m + 443577*A*a^2*b*c^3*m^3*x^3*x^m*e^m + 443577*A*a^3*c^2*d*m^3*x^3*x^m*e^m + 2215701*B*a^2*b*c^3*m*x^5*x^m*e^m + 2215701*A*a*b^2*c^3*m*x^5*x^m*e^m + 2215701*B*a^3*c^2*d*m*x^5*x^m*e^m + 6647103*A*a^2*b*c^2*d*m*x^5*x^m*e^m + 2215701*A*a^3*c*d^2*m*x^5*x^m*e^m + 22995*A*a^3*c^3*m^4*x*x^m*e^m + 594439*B*a^3*c^3*m^2*x^3*x^m*e^m + 1783317*A*a^2*b*c^3*m^2*x^3*x^m*e^m + 1783317*A*a^3*c^2*d*m^2*x^3*x^m*e^m + 1216215*B*a^2*b*c^3*x^5*x^m*e^m + 1216215*A*a*b^2*c^3*x^5*x^m*e^m + 1216215*B*a^3*c^2*d*x^5*x^m*e^m + 3648645*A*a^2*b*c^2*d*x^5*x^m*e^m + 1216215*A*a^3*c*d^2*x^5*x^m*e^m + 185059*A*a^3*c^3*m^3*x*x^m*e^m + 1140855*B*a^3*c^3*m*x^3*x^m*e^m + 3422565*A*a^2*b*c^3*m*x^3*x^m*e^m + 3422565*A*a^3*c^2*d*m*x^3*x^m*e^m + 852957*A*a^3*c^3*m^2*x*x^m*e^m + 675675*B*a^3*c^3*x^3*x^m*e^m + 2027025*A*a^2*b*c^3*x^3*x^m*e^m + 2027025*A*a^3*c^2*d*x^3*x^m*e^m + 2071215*A*a^3*c^3*m*x*x^m*e^m + 2027025*A*a^3*c^3*x*x^m*e^m)/(m^8 + 64*m^7 + 1708*m^6 + 24640*m^5 + 208054*m^4 + 1038016*m^3 + 2924172*m^2 + 4098240*m + 2027025)","B",0
16,1,3283,0,0.945695," ","integrate((e*x)^m*(b*x^2+a)^2*(B*x^2+A)*(d*x^2+c)^3,x, algorithm=""giac"")","\frac{B b^{2} d^{3} m^{6} x^{13} x^{m} e^{m} + 36 \, B b^{2} d^{3} m^{5} x^{13} x^{m} e^{m} + 3 \, B b^{2} c d^{2} m^{6} x^{11} x^{m} e^{m} + 2 \, B a b d^{3} m^{6} x^{11} x^{m} e^{m} + A b^{2} d^{3} m^{6} x^{11} x^{m} e^{m} + 505 \, B b^{2} d^{3} m^{4} x^{13} x^{m} e^{m} + 114 \, B b^{2} c d^{2} m^{5} x^{11} x^{m} e^{m} + 76 \, B a b d^{3} m^{5} x^{11} x^{m} e^{m} + 38 \, A b^{2} d^{3} m^{5} x^{11} x^{m} e^{m} + 3480 \, B b^{2} d^{3} m^{3} x^{13} x^{m} e^{m} + 3 \, B b^{2} c^{2} d m^{6} x^{9} x^{m} e^{m} + 6 \, B a b c d^{2} m^{6} x^{9} x^{m} e^{m} + 3 \, A b^{2} c d^{2} m^{6} x^{9} x^{m} e^{m} + B a^{2} d^{3} m^{6} x^{9} x^{m} e^{m} + 2 \, A a b d^{3} m^{6} x^{9} x^{m} e^{m} + 1665 \, B b^{2} c d^{2} m^{4} x^{11} x^{m} e^{m} + 1110 \, B a b d^{3} m^{4} x^{11} x^{m} e^{m} + 555 \, A b^{2} d^{3} m^{4} x^{11} x^{m} e^{m} + 12139 \, B b^{2} d^{3} m^{2} x^{13} x^{m} e^{m} + 120 \, B b^{2} c^{2} d m^{5} x^{9} x^{m} e^{m} + 240 \, B a b c d^{2} m^{5} x^{9} x^{m} e^{m} + 120 \, A b^{2} c d^{2} m^{5} x^{9} x^{m} e^{m} + 40 \, B a^{2} d^{3} m^{5} x^{9} x^{m} e^{m} + 80 \, A a b d^{3} m^{5} x^{9} x^{m} e^{m} + 11820 \, B b^{2} c d^{2} m^{3} x^{11} x^{m} e^{m} + 7880 \, B a b d^{3} m^{3} x^{11} x^{m} e^{m} + 3940 \, A b^{2} d^{3} m^{3} x^{11} x^{m} e^{m} + 19524 \, B b^{2} d^{3} m x^{13} x^{m} e^{m} + B b^{2} c^{3} m^{6} x^{7} x^{m} e^{m} + 6 \, B a b c^{2} d m^{6} x^{7} x^{m} e^{m} + 3 \, A b^{2} c^{2} d m^{6} x^{7} x^{m} e^{m} + 3 \, B a^{2} c d^{2} m^{6} x^{7} x^{m} e^{m} + 6 \, A a b c d^{2} m^{6} x^{7} x^{m} e^{m} + A a^{2} d^{3} m^{6} x^{7} x^{m} e^{m} + 1839 \, B b^{2} c^{2} d m^{4} x^{9} x^{m} e^{m} + 3678 \, B a b c d^{2} m^{4} x^{9} x^{m} e^{m} + 1839 \, A b^{2} c d^{2} m^{4} x^{9} x^{m} e^{m} + 613 \, B a^{2} d^{3} m^{4} x^{9} x^{m} e^{m} + 1226 \, A a b d^{3} m^{4} x^{9} x^{m} e^{m} + 42117 \, B b^{2} c d^{2} m^{2} x^{11} x^{m} e^{m} + 28078 \, B a b d^{3} m^{2} x^{11} x^{m} e^{m} + 14039 \, A b^{2} d^{3} m^{2} x^{11} x^{m} e^{m} + 10395 \, B b^{2} d^{3} x^{13} x^{m} e^{m} + 42 \, B b^{2} c^{3} m^{5} x^{7} x^{m} e^{m} + 252 \, B a b c^{2} d m^{5} x^{7} x^{m} e^{m} + 126 \, A b^{2} c^{2} d m^{5} x^{7} x^{m} e^{m} + 126 \, B a^{2} c d^{2} m^{5} x^{7} x^{m} e^{m} + 252 \, A a b c d^{2} m^{5} x^{7} x^{m} e^{m} + 42 \, A a^{2} d^{3} m^{5} x^{7} x^{m} e^{m} + 13584 \, B b^{2} c^{2} d m^{3} x^{9} x^{m} e^{m} + 27168 \, B a b c d^{2} m^{3} x^{9} x^{m} e^{m} + 13584 \, A b^{2} c d^{2} m^{3} x^{9} x^{m} e^{m} + 4528 \, B a^{2} d^{3} m^{3} x^{9} x^{m} e^{m} + 9056 \, A a b d^{3} m^{3} x^{9} x^{m} e^{m} + 68706 \, B b^{2} c d^{2} m x^{11} x^{m} e^{m} + 45804 \, B a b d^{3} m x^{11} x^{m} e^{m} + 22902 \, A b^{2} d^{3} m x^{11} x^{m} e^{m} + 2 \, B a b c^{3} m^{6} x^{5} x^{m} e^{m} + A b^{2} c^{3} m^{6} x^{5} x^{m} e^{m} + 3 \, B a^{2} c^{2} d m^{6} x^{5} x^{m} e^{m} + 6 \, A a b c^{2} d m^{6} x^{5} x^{m} e^{m} + 3 \, A a^{2} c d^{2} m^{6} x^{5} x^{m} e^{m} + 679 \, B b^{2} c^{3} m^{4} x^{7} x^{m} e^{m} + 4074 \, B a b c^{2} d m^{4} x^{7} x^{m} e^{m} + 2037 \, A b^{2} c^{2} d m^{4} x^{7} x^{m} e^{m} + 2037 \, B a^{2} c d^{2} m^{4} x^{7} x^{m} e^{m} + 4074 \, A a b c d^{2} m^{4} x^{7} x^{m} e^{m} + 679 \, A a^{2} d^{3} m^{4} x^{7} x^{m} e^{m} + 49881 \, B b^{2} c^{2} d m^{2} x^{9} x^{m} e^{m} + 99762 \, B a b c d^{2} m^{2} x^{9} x^{m} e^{m} + 49881 \, A b^{2} c d^{2} m^{2} x^{9} x^{m} e^{m} + 16627 \, B a^{2} d^{3} m^{2} x^{9} x^{m} e^{m} + 33254 \, A a b d^{3} m^{2} x^{9} x^{m} e^{m} + 36855 \, B b^{2} c d^{2} x^{11} x^{m} e^{m} + 24570 \, B a b d^{3} x^{11} x^{m} e^{m} + 12285 \, A b^{2} d^{3} x^{11} x^{m} e^{m} + 88 \, B a b c^{3} m^{5} x^{5} x^{m} e^{m} + 44 \, A b^{2} c^{3} m^{5} x^{5} x^{m} e^{m} + 132 \, B a^{2} c^{2} d m^{5} x^{5} x^{m} e^{m} + 264 \, A a b c^{2} d m^{5} x^{5} x^{m} e^{m} + 132 \, A a^{2} c d^{2} m^{5} x^{5} x^{m} e^{m} + 5292 \, B b^{2} c^{3} m^{3} x^{7} x^{m} e^{m} + 31752 \, B a b c^{2} d m^{3} x^{7} x^{m} e^{m} + 15876 \, A b^{2} c^{2} d m^{3} x^{7} x^{m} e^{m} + 15876 \, B a^{2} c d^{2} m^{3} x^{7} x^{m} e^{m} + 31752 \, A a b c d^{2} m^{3} x^{7} x^{m} e^{m} + 5292 \, A a^{2} d^{3} m^{3} x^{7} x^{m} e^{m} + 83064 \, B b^{2} c^{2} d m x^{9} x^{m} e^{m} + 166128 \, B a b c d^{2} m x^{9} x^{m} e^{m} + 83064 \, A b^{2} c d^{2} m x^{9} x^{m} e^{m} + 27688 \, B a^{2} d^{3} m x^{9} x^{m} e^{m} + 55376 \, A a b d^{3} m x^{9} x^{m} e^{m} + B a^{2} c^{3} m^{6} x^{3} x^{m} e^{m} + 2 \, A a b c^{3} m^{6} x^{3} x^{m} e^{m} + 3 \, A a^{2} c^{2} d m^{6} x^{3} x^{m} e^{m} + 1506 \, B a b c^{3} m^{4} x^{5} x^{m} e^{m} + 753 \, A b^{2} c^{3} m^{4} x^{5} x^{m} e^{m} + 2259 \, B a^{2} c^{2} d m^{4} x^{5} x^{m} e^{m} + 4518 \, A a b c^{2} d m^{4} x^{5} x^{m} e^{m} + 2259 \, A a^{2} c d^{2} m^{4} x^{5} x^{m} e^{m} + 20335 \, B b^{2} c^{3} m^{2} x^{7} x^{m} e^{m} + 122010 \, B a b c^{2} d m^{2} x^{7} x^{m} e^{m} + 61005 \, A b^{2} c^{2} d m^{2} x^{7} x^{m} e^{m} + 61005 \, B a^{2} c d^{2} m^{2} x^{7} x^{m} e^{m} + 122010 \, A a b c d^{2} m^{2} x^{7} x^{m} e^{m} + 20335 \, A a^{2} d^{3} m^{2} x^{7} x^{m} e^{m} + 45045 \, B b^{2} c^{2} d x^{9} x^{m} e^{m} + 90090 \, B a b c d^{2} x^{9} x^{m} e^{m} + 45045 \, A b^{2} c d^{2} x^{9} x^{m} e^{m} + 15015 \, B a^{2} d^{3} x^{9} x^{m} e^{m} + 30030 \, A a b d^{3} x^{9} x^{m} e^{m} + 46 \, B a^{2} c^{3} m^{5} x^{3} x^{m} e^{m} + 92 \, A a b c^{3} m^{5} x^{3} x^{m} e^{m} + 138 \, A a^{2} c^{2} d m^{5} x^{3} x^{m} e^{m} + 12560 \, B a b c^{3} m^{3} x^{5} x^{m} e^{m} + 6280 \, A b^{2} c^{3} m^{3} x^{5} x^{m} e^{m} + 18840 \, B a^{2} c^{2} d m^{3} x^{5} x^{m} e^{m} + 37680 \, A a b c^{2} d m^{3} x^{5} x^{m} e^{m} + 18840 \, A a^{2} c d^{2} m^{3} x^{5} x^{m} e^{m} + 34986 \, B b^{2} c^{3} m x^{7} x^{m} e^{m} + 209916 \, B a b c^{2} d m x^{7} x^{m} e^{m} + 104958 \, A b^{2} c^{2} d m x^{7} x^{m} e^{m} + 104958 \, B a^{2} c d^{2} m x^{7} x^{m} e^{m} + 209916 \, A a b c d^{2} m x^{7} x^{m} e^{m} + 34986 \, A a^{2} d^{3} m x^{7} x^{m} e^{m} + A a^{2} c^{3} m^{6} x x^{m} e^{m} + 835 \, B a^{2} c^{3} m^{4} x^{3} x^{m} e^{m} + 1670 \, A a b c^{3} m^{4} x^{3} x^{m} e^{m} + 2505 \, A a^{2} c^{2} d m^{4} x^{3} x^{m} e^{m} + 51958 \, B a b c^{3} m^{2} x^{5} x^{m} e^{m} + 25979 \, A b^{2} c^{3} m^{2} x^{5} x^{m} e^{m} + 77937 \, B a^{2} c^{2} d m^{2} x^{5} x^{m} e^{m} + 155874 \, A a b c^{2} d m^{2} x^{5} x^{m} e^{m} + 77937 \, A a^{2} c d^{2} m^{2} x^{5} x^{m} e^{m} + 19305 \, B b^{2} c^{3} x^{7} x^{m} e^{m} + 115830 \, B a b c^{2} d x^{7} x^{m} e^{m} + 57915 \, A b^{2} c^{2} d x^{7} x^{m} e^{m} + 57915 \, B a^{2} c d^{2} x^{7} x^{m} e^{m} + 115830 \, A a b c d^{2} x^{7} x^{m} e^{m} + 19305 \, A a^{2} d^{3} x^{7} x^{m} e^{m} + 48 \, A a^{2} c^{3} m^{5} x x^{m} e^{m} + 7540 \, B a^{2} c^{3} m^{3} x^{3} x^{m} e^{m} + 15080 \, A a b c^{3} m^{3} x^{3} x^{m} e^{m} + 22620 \, A a^{2} c^{2} d m^{3} x^{3} x^{m} e^{m} + 94872 \, B a b c^{3} m x^{5} x^{m} e^{m} + 47436 \, A b^{2} c^{3} m x^{5} x^{m} e^{m} + 142308 \, B a^{2} c^{2} d m x^{5} x^{m} e^{m} + 284616 \, A a b c^{2} d m x^{5} x^{m} e^{m} + 142308 \, A a^{2} c d^{2} m x^{5} x^{m} e^{m} + 925 \, A a^{2} c^{3} m^{4} x x^{m} e^{m} + 34759 \, B a^{2} c^{3} m^{2} x^{3} x^{m} e^{m} + 69518 \, A a b c^{3} m^{2} x^{3} x^{m} e^{m} + 104277 \, A a^{2} c^{2} d m^{2} x^{3} x^{m} e^{m} + 54054 \, B a b c^{3} x^{5} x^{m} e^{m} + 27027 \, A b^{2} c^{3} x^{5} x^{m} e^{m} + 81081 \, B a^{2} c^{2} d x^{5} x^{m} e^{m} + 162162 \, A a b c^{2} d x^{5} x^{m} e^{m} + 81081 \, A a^{2} c d^{2} x^{5} x^{m} e^{m} + 9120 \, A a^{2} c^{3} m^{3} x x^{m} e^{m} + 73054 \, B a^{2} c^{3} m x^{3} x^{m} e^{m} + 146108 \, A a b c^{3} m x^{3} x^{m} e^{m} + 219162 \, A a^{2} c^{2} d m x^{3} x^{m} e^{m} + 48259 \, A a^{2} c^{3} m^{2} x x^{m} e^{m} + 45045 \, B a^{2} c^{3} x^{3} x^{m} e^{m} + 90090 \, A a b c^{3} x^{3} x^{m} e^{m} + 135135 \, A a^{2} c^{2} d x^{3} x^{m} e^{m} + 129072 \, A a^{2} c^{3} m x x^{m} e^{m} + 135135 \, A a^{2} c^{3} x x^{m} e^{m}}{m^{7} + 49 \, m^{6} + 973 \, m^{5} + 10045 \, m^{4} + 57379 \, m^{3} + 177331 \, m^{2} + 264207 \, m + 135135}"," ",0,"(B*b^2*d^3*m^6*x^13*x^m*e^m + 36*B*b^2*d^3*m^5*x^13*x^m*e^m + 3*B*b^2*c*d^2*m^6*x^11*x^m*e^m + 2*B*a*b*d^3*m^6*x^11*x^m*e^m + A*b^2*d^3*m^6*x^11*x^m*e^m + 505*B*b^2*d^3*m^4*x^13*x^m*e^m + 114*B*b^2*c*d^2*m^5*x^11*x^m*e^m + 76*B*a*b*d^3*m^5*x^11*x^m*e^m + 38*A*b^2*d^3*m^5*x^11*x^m*e^m + 3480*B*b^2*d^3*m^3*x^13*x^m*e^m + 3*B*b^2*c^2*d*m^6*x^9*x^m*e^m + 6*B*a*b*c*d^2*m^6*x^9*x^m*e^m + 3*A*b^2*c*d^2*m^6*x^9*x^m*e^m + B*a^2*d^3*m^6*x^9*x^m*e^m + 2*A*a*b*d^3*m^6*x^9*x^m*e^m + 1665*B*b^2*c*d^2*m^4*x^11*x^m*e^m + 1110*B*a*b*d^3*m^4*x^11*x^m*e^m + 555*A*b^2*d^3*m^4*x^11*x^m*e^m + 12139*B*b^2*d^3*m^2*x^13*x^m*e^m + 120*B*b^2*c^2*d*m^5*x^9*x^m*e^m + 240*B*a*b*c*d^2*m^5*x^9*x^m*e^m + 120*A*b^2*c*d^2*m^5*x^9*x^m*e^m + 40*B*a^2*d^3*m^5*x^9*x^m*e^m + 80*A*a*b*d^3*m^5*x^9*x^m*e^m + 11820*B*b^2*c*d^2*m^3*x^11*x^m*e^m + 7880*B*a*b*d^3*m^3*x^11*x^m*e^m + 3940*A*b^2*d^3*m^3*x^11*x^m*e^m + 19524*B*b^2*d^3*m*x^13*x^m*e^m + 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83064*B*b^2*c^2*d*m*x^9*x^m*e^m + 166128*B*a*b*c*d^2*m*x^9*x^m*e^m + 83064*A*b^2*c*d^2*m*x^9*x^m*e^m + 27688*B*a^2*d^3*m*x^9*x^m*e^m + 55376*A*a*b*d^3*m*x^9*x^m*e^m + B*a^2*c^3*m^6*x^3*x^m*e^m + 2*A*a*b*c^3*m^6*x^3*x^m*e^m + 3*A*a^2*c^2*d*m^6*x^3*x^m*e^m + 1506*B*a*b*c^3*m^4*x^5*x^m*e^m + 753*A*b^2*c^3*m^4*x^5*x^m*e^m + 2259*B*a^2*c^2*d*m^4*x^5*x^m*e^m + 4518*A*a*b*c^2*d*m^4*x^5*x^m*e^m + 2259*A*a^2*c*d^2*m^4*x^5*x^m*e^m + 20335*B*b^2*c^3*m^2*x^7*x^m*e^m + 122010*B*a*b*c^2*d*m^2*x^7*x^m*e^m + 61005*A*b^2*c^2*d*m^2*x^7*x^m*e^m + 61005*B*a^2*c*d^2*m^2*x^7*x^m*e^m + 122010*A*a*b*c*d^2*m^2*x^7*x^m*e^m + 20335*A*a^2*d^3*m^2*x^7*x^m*e^m + 45045*B*b^2*c^2*d*x^9*x^m*e^m + 90090*B*a*b*c*d^2*x^9*x^m*e^m + 45045*A*b^2*c*d^2*x^9*x^m*e^m + 15015*B*a^2*d^3*x^9*x^m*e^m + 30030*A*a*b*d^3*x^9*x^m*e^m + 46*B*a^2*c^3*m^5*x^3*x^m*e^m + 92*A*a*b*c^3*m^5*x^3*x^m*e^m + 138*A*a^2*c^2*d*m^5*x^3*x^m*e^m + 12560*B*a*b*c^3*m^3*x^5*x^m*e^m + 6280*A*b^2*c^3*m^3*x^5*x^m*e^m + 18840*B*a^2*c^2*d*m^3*x^5*x^m*e^m + 37680*A*a*b*c^2*d*m^3*x^5*x^m*e^m + 18840*A*a^2*c*d^2*m^3*x^5*x^m*e^m + 34986*B*b^2*c^3*m*x^7*x^m*e^m + 209916*B*a*b*c^2*d*m*x^7*x^m*e^m + 104958*A*b^2*c^2*d*m*x^7*x^m*e^m + 104958*B*a^2*c*d^2*m*x^7*x^m*e^m + 209916*A*a*b*c*d^2*m*x^7*x^m*e^m + 34986*A*a^2*d^3*m*x^7*x^m*e^m + A*a^2*c^3*m^6*x*x^m*e^m + 835*B*a^2*c^3*m^4*x^3*x^m*e^m + 1670*A*a*b*c^3*m^4*x^3*x^m*e^m + 2505*A*a^2*c^2*d*m^4*x^3*x^m*e^m + 51958*B*a*b*c^3*m^2*x^5*x^m*e^m + 25979*A*b^2*c^3*m^2*x^5*x^m*e^m + 77937*B*a^2*c^2*d*m^2*x^5*x^m*e^m + 155874*A*a*b*c^2*d*m^2*x^5*x^m*e^m + 77937*A*a^2*c*d^2*m^2*x^5*x^m*e^m + 19305*B*b^2*c^3*x^7*x^m*e^m + 115830*B*a*b*c^2*d*x^7*x^m*e^m + 57915*A*b^2*c^2*d*x^7*x^m*e^m + 57915*B*a^2*c*d^2*x^7*x^m*e^m + 115830*A*a*b*c*d^2*x^7*x^m*e^m + 19305*A*a^2*d^3*x^7*x^m*e^m + 48*A*a^2*c^3*m^5*x*x^m*e^m + 7540*B*a^2*c^3*m^3*x^3*x^m*e^m + 15080*A*a*b*c^3*m^3*x^3*x^m*e^m + 22620*A*a^2*c^2*d*m^3*x^3*x^m*e^m + 94872*B*a*b*c^3*m*x^5*x^m*e^m + 47436*A*b^2*c^3*m*x^5*x^m*e^m + 142308*B*a^2*c^2*d*m*x^5*x^m*e^m + 284616*A*a*b*c^2*d*m*x^5*x^m*e^m + 142308*A*a^2*c*d^2*m*x^5*x^m*e^m + 925*A*a^2*c^3*m^4*x*x^m*e^m + 34759*B*a^2*c^3*m^2*x^3*x^m*e^m + 69518*A*a*b*c^3*m^2*x^3*x^m*e^m + 104277*A*a^2*c^2*d*m^2*x^3*x^m*e^m + 54054*B*a*b*c^3*x^5*x^m*e^m + 27027*A*b^2*c^3*x^5*x^m*e^m + 81081*B*a^2*c^2*d*x^5*x^m*e^m + 162162*A*a*b*c^2*d*x^5*x^m*e^m + 81081*A*a^2*c*d^2*x^5*x^m*e^m + 9120*A*a^2*c^3*m^3*x*x^m*e^m + 73054*B*a^2*c^3*m*x^3*x^m*e^m + 146108*A*a*b*c^3*m*x^3*x^m*e^m + 219162*A*a^2*c^2*d*m*x^3*x^m*e^m + 48259*A*a^2*c^3*m^2*x*x^m*e^m + 45045*B*a^2*c^3*x^3*x^m*e^m + 90090*A*a*b*c^3*x^3*x^m*e^m + 135135*A*a^2*c^2*d*x^3*x^m*e^m + 129072*A*a^2*c^3*m*x*x^m*e^m + 135135*A*a^2*c^3*x*x^m*e^m)/(m^7 + 49*m^6 + 973*m^5 + 10045*m^4 + 57379*m^3 + 177331*m^2 + 264207*m + 135135)","B",0
17,1,1708,0,0.654562," ","integrate((e*x)^m*(b*x^2+a)*(B*x^2+A)*(d*x^2+c)^3,x, algorithm=""giac"")","\frac{B b d^{3} m^{5} x^{11} x^{m} e^{m} + 25 \, B b d^{3} m^{4} x^{11} x^{m} e^{m} + 3 \, B b c d^{2} m^{5} x^{9} x^{m} e^{m} + B a d^{3} m^{5} x^{9} x^{m} e^{m} + A b d^{3} m^{5} x^{9} x^{m} e^{m} + 230 \, B b d^{3} m^{3} x^{11} x^{m} e^{m} + 81 \, B b c d^{2} m^{4} x^{9} x^{m} e^{m} + 27 \, B a d^{3} m^{4} x^{9} x^{m} e^{m} + 27 \, A b d^{3} m^{4} x^{9} x^{m} e^{m} + 950 \, B b d^{3} m^{2} x^{11} x^{m} e^{m} + 3 \, B b c^{2} d m^{5} x^{7} x^{m} e^{m} + 3 \, B a c d^{2} m^{5} x^{7} x^{m} e^{m} + 3 \, A b c d^{2} m^{5} x^{7} x^{m} e^{m} + A a d^{3} m^{5} x^{7} x^{m} e^{m} + 786 \, B b c d^{2} m^{3} x^{9} x^{m} e^{m} + 262 \, B a d^{3} m^{3} x^{9} x^{m} e^{m} + 262 \, A b d^{3} m^{3} x^{9} x^{m} e^{m} + 1689 \, B b d^{3} m x^{11} x^{m} e^{m} + 87 \, B b c^{2} d m^{4} x^{7} x^{m} e^{m} + 87 \, B a c d^{2} m^{4} x^{7} x^{m} e^{m} + 87 \, A b c d^{2} m^{4} x^{7} x^{m} e^{m} + 29 \, A a d^{3} m^{4} x^{7} x^{m} e^{m} + 3366 \, B b c d^{2} m^{2} x^{9} x^{m} e^{m} + 1122 \, B a d^{3} m^{2} x^{9} x^{m} e^{m} + 1122 \, A b d^{3} m^{2} x^{9} x^{m} e^{m} + 945 \, B b d^{3} x^{11} x^{m} e^{m} + B b c^{3} m^{5} x^{5} x^{m} e^{m} + 3 \, B a c^{2} d m^{5} x^{5} x^{m} e^{m} + 3 \, A b c^{2} d m^{5} x^{5} x^{m} e^{m} + 3 \, A a c d^{2} m^{5} x^{5} x^{m} e^{m} + 906 \, B b c^{2} d m^{3} x^{7} x^{m} e^{m} + 906 \, B a c d^{2} m^{3} x^{7} x^{m} e^{m} + 906 \, A b c d^{2} m^{3} x^{7} x^{m} e^{m} + 302 \, A a d^{3} m^{3} x^{7} x^{m} e^{m} + 6123 \, B b c d^{2} m x^{9} x^{m} e^{m} + 2041 \, B a d^{3} m x^{9} x^{m} e^{m} + 2041 \, A b d^{3} m x^{9} x^{m} e^{m} + 31 \, B b c^{3} m^{4} x^{5} x^{m} e^{m} + 93 \, B a c^{2} d m^{4} x^{5} x^{m} e^{m} + 93 \, A b c^{2} d m^{4} x^{5} x^{m} e^{m} + 93 \, A a c d^{2} m^{4} x^{5} x^{m} e^{m} + 4098 \, B b c^{2} d m^{2} x^{7} x^{m} e^{m} + 4098 \, B a c d^{2} m^{2} x^{7} x^{m} e^{m} + 4098 \, A b c d^{2} m^{2} x^{7} x^{m} e^{m} + 1366 \, A a d^{3} m^{2} x^{7} x^{m} e^{m} + 3465 \, B b c d^{2} x^{9} x^{m} e^{m} + 1155 \, B a d^{3} x^{9} x^{m} e^{m} + 1155 \, A b d^{3} x^{9} x^{m} e^{m} + B a c^{3} m^{5} x^{3} x^{m} e^{m} + A b c^{3} m^{5} x^{3} x^{m} e^{m} + 3 \, A a c^{2} d m^{5} x^{3} x^{m} e^{m} + 350 \, B b c^{3} m^{3} x^{5} x^{m} e^{m} + 1050 \, B a c^{2} d m^{3} x^{5} x^{m} e^{m} + 1050 \, A b c^{2} d m^{3} x^{5} x^{m} e^{m} + 1050 \, A a c d^{2} m^{3} x^{5} x^{m} e^{m} + 7731 \, B b c^{2} d m x^{7} x^{m} e^{m} + 7731 \, B a c d^{2} m x^{7} x^{m} e^{m} + 7731 \, A b c d^{2} m x^{7} x^{m} e^{m} + 2577 \, A a d^{3} m x^{7} x^{m} e^{m} + 33 \, B a c^{3} m^{4} x^{3} x^{m} e^{m} + 33 \, A b c^{3} m^{4} x^{3} x^{m} e^{m} + 99 \, A a c^{2} d m^{4} x^{3} x^{m} e^{m} + 1730 \, B b c^{3} m^{2} x^{5} x^{m} e^{m} + 5190 \, B a c^{2} d m^{2} x^{5} x^{m} e^{m} + 5190 \, A b c^{2} d m^{2} x^{5} x^{m} e^{m} + 5190 \, A a c d^{2} m^{2} x^{5} x^{m} e^{m} + 4455 \, B b c^{2} d x^{7} x^{m} e^{m} + 4455 \, B a c d^{2} x^{7} x^{m} e^{m} + 4455 \, A b c d^{2} x^{7} x^{m} e^{m} + 1485 \, A a d^{3} x^{7} x^{m} e^{m} + A a c^{3} m^{5} x x^{m} e^{m} + 406 \, B a c^{3} m^{3} x^{3} x^{m} e^{m} + 406 \, A b c^{3} m^{3} x^{3} x^{m} e^{m} + 1218 \, A a c^{2} d m^{3} x^{3} x^{m} e^{m} + 3489 \, B b c^{3} m x^{5} x^{m} e^{m} + 10467 \, B a c^{2} d m x^{5} x^{m} e^{m} + 10467 \, A b c^{2} d m x^{5} x^{m} e^{m} + 10467 \, A a c d^{2} m x^{5} x^{m} e^{m} + 35 \, A a c^{3} m^{4} x x^{m} e^{m} + 2262 \, B a c^{3} m^{2} x^{3} x^{m} e^{m} + 2262 \, A b c^{3} m^{2} x^{3} x^{m} e^{m} + 6786 \, A a c^{2} d m^{2} x^{3} x^{m} e^{m} + 2079 \, B b c^{3} x^{5} x^{m} e^{m} + 6237 \, B a c^{2} d x^{5} x^{m} e^{m} + 6237 \, A b c^{2} d x^{5} x^{m} e^{m} + 6237 \, A a c d^{2} x^{5} x^{m} e^{m} + 470 \, A a c^{3} m^{3} x x^{m} e^{m} + 5353 \, B a c^{3} m x^{3} x^{m} e^{m} + 5353 \, A b c^{3} m x^{3} x^{m} e^{m} + 16059 \, A a c^{2} d m x^{3} x^{m} e^{m} + 3010 \, A a c^{3} m^{2} x x^{m} e^{m} + 3465 \, B a c^{3} x^{3} x^{m} e^{m} + 3465 \, A b c^{3} x^{3} x^{m} e^{m} + 10395 \, A a c^{2} d x^{3} x^{m} e^{m} + 9129 \, A a c^{3} m x x^{m} e^{m} + 10395 \, A a c^{3} x x^{m} e^{m}}{m^{6} + 36 \, m^{5} + 505 \, m^{4} + 3480 \, m^{3} + 12139 \, m^{2} + 19524 \, m + 10395}"," ",0,"(B*b*d^3*m^5*x^11*x^m*e^m + 25*B*b*d^3*m^4*x^11*x^m*e^m + 3*B*b*c*d^2*m^5*x^9*x^m*e^m + B*a*d^3*m^5*x^9*x^m*e^m + A*b*d^3*m^5*x^9*x^m*e^m + 230*B*b*d^3*m^3*x^11*x^m*e^m + 81*B*b*c*d^2*m^4*x^9*x^m*e^m + 27*B*a*d^3*m^4*x^9*x^m*e^m + 27*A*b*d^3*m^4*x^9*x^m*e^m + 950*B*b*d^3*m^2*x^11*x^m*e^m + 3*B*b*c^2*d*m^5*x^7*x^m*e^m + 3*B*a*c*d^2*m^5*x^7*x^m*e^m + 3*A*b*c*d^2*m^5*x^7*x^m*e^m + A*a*d^3*m^5*x^7*x^m*e^m + 786*B*b*c*d^2*m^3*x^9*x^m*e^m + 262*B*a*d^3*m^3*x^9*x^m*e^m + 262*A*b*d^3*m^3*x^9*x^m*e^m + 1689*B*b*d^3*m*x^11*x^m*e^m + 87*B*b*c^2*d*m^4*x^7*x^m*e^m + 87*B*a*c*d^2*m^4*x^7*x^m*e^m + 87*A*b*c*d^2*m^4*x^7*x^m*e^m + 29*A*a*d^3*m^4*x^7*x^m*e^m + 3366*B*b*c*d^2*m^2*x^9*x^m*e^m + 1122*B*a*d^3*m^2*x^9*x^m*e^m + 1122*A*b*d^3*m^2*x^9*x^m*e^m + 945*B*b*d^3*x^11*x^m*e^m + B*b*c^3*m^5*x^5*x^m*e^m + 3*B*a*c^2*d*m^5*x^5*x^m*e^m + 3*A*b*c^2*d*m^5*x^5*x^m*e^m + 3*A*a*c*d^2*m^5*x^5*x^m*e^m + 906*B*b*c^2*d*m^3*x^7*x^m*e^m + 906*B*a*c*d^2*m^3*x^7*x^m*e^m + 906*A*b*c*d^2*m^3*x^7*x^m*e^m + 302*A*a*d^3*m^3*x^7*x^m*e^m + 6123*B*b*c*d^2*m*x^9*x^m*e^m + 2041*B*a*d^3*m*x^9*x^m*e^m + 2041*A*b*d^3*m*x^9*x^m*e^m + 31*B*b*c^3*m^4*x^5*x^m*e^m + 93*B*a*c^2*d*m^4*x^5*x^m*e^m + 93*A*b*c^2*d*m^4*x^5*x^m*e^m + 93*A*a*c*d^2*m^4*x^5*x^m*e^m + 4098*B*b*c^2*d*m^2*x^7*x^m*e^m + 4098*B*a*c*d^2*m^2*x^7*x^m*e^m + 4098*A*b*c*d^2*m^2*x^7*x^m*e^m + 1366*A*a*d^3*m^2*x^7*x^m*e^m + 3465*B*b*c*d^2*x^9*x^m*e^m + 1155*B*a*d^3*x^9*x^m*e^m + 1155*A*b*d^3*x^9*x^m*e^m + B*a*c^3*m^5*x^3*x^m*e^m + A*b*c^3*m^5*x^3*x^m*e^m + 3*A*a*c^2*d*m^5*x^3*x^m*e^m + 350*B*b*c^3*m^3*x^5*x^m*e^m + 1050*B*a*c^2*d*m^3*x^5*x^m*e^m + 1050*A*b*c^2*d*m^3*x^5*x^m*e^m + 1050*A*a*c*d^2*m^3*x^5*x^m*e^m + 7731*B*b*c^2*d*m*x^7*x^m*e^m + 7731*B*a*c*d^2*m*x^7*x^m*e^m + 7731*A*b*c*d^2*m*x^7*x^m*e^m + 2577*A*a*d^3*m*x^7*x^m*e^m + 33*B*a*c^3*m^4*x^3*x^m*e^m + 33*A*b*c^3*m^4*x^3*x^m*e^m + 99*A*a*c^2*d*m^4*x^3*x^m*e^m + 1730*B*b*c^3*m^2*x^5*x^m*e^m + 5190*B*a*c^2*d*m^2*x^5*x^m*e^m + 5190*A*b*c^2*d*m^2*x^5*x^m*e^m + 5190*A*a*c*d^2*m^2*x^5*x^m*e^m + 4455*B*b*c^2*d*x^7*x^m*e^m + 4455*B*a*c*d^2*x^7*x^m*e^m + 4455*A*b*c*d^2*x^7*x^m*e^m + 1485*A*a*d^3*x^7*x^m*e^m + A*a*c^3*m^5*x*x^m*e^m + 406*B*a*c^3*m^3*x^3*x^m*e^m + 406*A*b*c^3*m^3*x^3*x^m*e^m + 1218*A*a*c^2*d*m^3*x^3*x^m*e^m + 3489*B*b*c^3*m*x^5*x^m*e^m + 10467*B*a*c^2*d*m*x^5*x^m*e^m + 10467*A*b*c^2*d*m*x^5*x^m*e^m + 10467*A*a*c*d^2*m*x^5*x^m*e^m + 35*A*a*c^3*m^4*x*x^m*e^m + 2262*B*a*c^3*m^2*x^3*x^m*e^m + 2262*A*b*c^3*m^2*x^3*x^m*e^m + 6786*A*a*c^2*d*m^2*x^3*x^m*e^m + 2079*B*b*c^3*x^5*x^m*e^m + 6237*B*a*c^2*d*x^5*x^m*e^m + 6237*A*b*c^2*d*x^5*x^m*e^m + 6237*A*a*c*d^2*x^5*x^m*e^m + 470*A*a*c^3*m^3*x*x^m*e^m + 5353*B*a*c^3*m*x^3*x^m*e^m + 5353*A*b*c^3*m*x^3*x^m*e^m + 16059*A*a*c^2*d*m*x^3*x^m*e^m + 3010*A*a*c^3*m^2*x*x^m*e^m + 3465*B*a*c^3*x^3*x^m*e^m + 3465*A*b*c^3*x^3*x^m*e^m + 10395*A*a*c^2*d*x^3*x^m*e^m + 9129*A*a*c^3*m*x*x^m*e^m + 10395*A*a*c^3*x*x^m*e^m)/(m^6 + 36*m^5 + 505*m^4 + 3480*m^3 + 12139*m^2 + 19524*m + 10395)","B",0
18,1,673,0,0.507201," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)^3,x, algorithm=""giac"")","\frac{B d^{3} m^{4} x^{9} x^{m} e^{m} + 16 \, B d^{3} m^{3} x^{9} x^{m} e^{m} + 3 \, B c d^{2} m^{4} x^{7} x^{m} e^{m} + A d^{3} m^{4} x^{7} x^{m} e^{m} + 86 \, B d^{3} m^{2} x^{9} x^{m} e^{m} + 54 \, B c d^{2} m^{3} x^{7} x^{m} e^{m} + 18 \, A d^{3} m^{3} x^{7} x^{m} e^{m} + 176 \, B d^{3} m x^{9} x^{m} e^{m} + 3 \, B c^{2} d m^{4} x^{5} x^{m} e^{m} + 3 \, A c d^{2} m^{4} x^{5} x^{m} e^{m} + 312 \, B c d^{2} m^{2} x^{7} x^{m} e^{m} + 104 \, A d^{3} m^{2} x^{7} x^{m} e^{m} + 105 \, B d^{3} x^{9} x^{m} e^{m} + 60 \, B c^{2} d m^{3} x^{5} x^{m} e^{m} + 60 \, A c d^{2} m^{3} x^{5} x^{m} e^{m} + 666 \, B c d^{2} m x^{7} x^{m} e^{m} + 222 \, A d^{3} m x^{7} x^{m} e^{m} + B c^{3} m^{4} x^{3} x^{m} e^{m} + 3 \, A c^{2} d m^{4} x^{3} x^{m} e^{m} + 390 \, B c^{2} d m^{2} x^{5} x^{m} e^{m} + 390 \, A c d^{2} m^{2} x^{5} x^{m} e^{m} + 405 \, B c d^{2} x^{7} x^{m} e^{m} + 135 \, A d^{3} x^{7} x^{m} e^{m} + 22 \, B c^{3} m^{3} x^{3} x^{m} e^{m} + 66 \, A c^{2} d m^{3} x^{3} x^{m} e^{m} + 900 \, B c^{2} d m x^{5} x^{m} e^{m} + 900 \, A c d^{2} m x^{5} x^{m} e^{m} + A c^{3} m^{4} x x^{m} e^{m} + 164 \, B c^{3} m^{2} x^{3} x^{m} e^{m} + 492 \, A c^{2} d m^{2} x^{3} x^{m} e^{m} + 567 \, B c^{2} d x^{5} x^{m} e^{m} + 567 \, A c d^{2} x^{5} x^{m} e^{m} + 24 \, A c^{3} m^{3} x x^{m} e^{m} + 458 \, B c^{3} m x^{3} x^{m} e^{m} + 1374 \, A c^{2} d m x^{3} x^{m} e^{m} + 206 \, A c^{3} m^{2} x x^{m} e^{m} + 315 \, B c^{3} x^{3} x^{m} e^{m} + 945 \, A c^{2} d x^{3} x^{m} e^{m} + 744 \, A c^{3} m x x^{m} e^{m} + 945 \, A c^{3} x x^{m} e^{m}}{m^{5} + 25 \, m^{4} + 230 \, m^{3} + 950 \, m^{2} + 1689 \, m + 945}"," ",0,"(B*d^3*m^4*x^9*x^m*e^m + 16*B*d^3*m^3*x^9*x^m*e^m + 3*B*c*d^2*m^4*x^7*x^m*e^m + A*d^3*m^4*x^7*x^m*e^m + 86*B*d^3*m^2*x^9*x^m*e^m + 54*B*c*d^2*m^3*x^7*x^m*e^m + 18*A*d^3*m^3*x^7*x^m*e^m + 176*B*d^3*m*x^9*x^m*e^m + 3*B*c^2*d*m^4*x^5*x^m*e^m + 3*A*c*d^2*m^4*x^5*x^m*e^m + 312*B*c*d^2*m^2*x^7*x^m*e^m + 104*A*d^3*m^2*x^7*x^m*e^m + 105*B*d^3*x^9*x^m*e^m + 60*B*c^2*d*m^3*x^5*x^m*e^m + 60*A*c*d^2*m^3*x^5*x^m*e^m + 666*B*c*d^2*m*x^7*x^m*e^m + 222*A*d^3*m*x^7*x^m*e^m + B*c^3*m^4*x^3*x^m*e^m + 3*A*c^2*d*m^4*x^3*x^m*e^m + 390*B*c^2*d*m^2*x^5*x^m*e^m + 390*A*c*d^2*m^2*x^5*x^m*e^m + 405*B*c*d^2*x^7*x^m*e^m + 135*A*d^3*x^7*x^m*e^m + 22*B*c^3*m^3*x^3*x^m*e^m + 66*A*c^2*d*m^3*x^3*x^m*e^m + 900*B*c^2*d*m*x^5*x^m*e^m + 900*A*c*d^2*m*x^5*x^m*e^m + A*c^3*m^4*x*x^m*e^m + 164*B*c^3*m^2*x^3*x^m*e^m + 492*A*c^2*d*m^2*x^3*x^m*e^m + 567*B*c^2*d*x^5*x^m*e^m + 567*A*c*d^2*x^5*x^m*e^m + 24*A*c^3*m^3*x*x^m*e^m + 458*B*c^3*m*x^3*x^m*e^m + 1374*A*c^2*d*m*x^3*x^m*e^m + 206*A*c^3*m^2*x*x^m*e^m + 315*B*c^3*x^3*x^m*e^m + 945*A*c^2*d*x^3*x^m*e^m + 744*A*c^3*m*x*x^m*e^m + 945*A*c^3*x*x^m*e^m)/(m^5 + 25*m^4 + 230*m^3 + 950*m^2 + 1689*m + 945)","B",0
19,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)^3/(b*x^2+a),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)}^{3} \left(e x\right)^{m}}{b x^{2} + a}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)^3*(e*x)^m/(b*x^2 + a), x)","F",0
20,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)^3/(b*x^2+a)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)}^{3} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)^3*(e*x)^m/(b*x^2 + a)^2, x)","F",0
21,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)^3/(b*x^2+a)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)}^{3} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)^3*(e*x)^m/(b*x^2 + a)^3, x)","F",0
22,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^4*(B*x^2+A)/(d*x^2+c),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)}^{4} \left(e x\right)^{m}}{d x^{2} + c}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)^4*(e*x)^m/(d*x^2 + c), x)","F",0
23,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^3*(B*x^2+A)/(d*x^2+c),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)}^{3} \left(e x\right)^{m}}{d x^{2} + c}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)^3*(e*x)^m/(d*x^2 + c), x)","F",0
24,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^2*(B*x^2+A)/(d*x^2+c),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)}^{2} \left(e x\right)^{m}}{d x^{2} + c}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)^2*(e*x)^m/(d*x^2 + c), x)","F",0
25,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)*(B*x^2+A)/(d*x^2+c),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)} \left(e x\right)^{m}}{d x^{2} + c}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)*(e*x)^m/(d*x^2 + c), x)","F",0
26,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(d*x^2+c),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{d x^{2} + c}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/(d*x^2 + c), x)","F",0
27,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(b*x^2+a)/(d*x^2+c),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/((b*x^2 + a)*(d*x^2 + c)), x)","F",0
28,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(b*x^2+a)^2/(d*x^2+c),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{2} {\left(d x^{2} + c\right)}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/((b*x^2 + a)^2*(d*x^2 + c)), x)","F",0
29,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(b*x^2+a)^3/(d*x^2+c),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{3} {\left(d x^{2} + c\right)}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/((b*x^2 + a)^3*(d*x^2 + c)), x)","F",0
30,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^3*(B*x^2+A)/(d*x^2+c)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)}^{3} \left(e x\right)^{m}}{{\left(d x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)^3*(e*x)^m/(d*x^2 + c)^2, x)","F",0
31,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^2*(B*x^2+A)/(d*x^2+c)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)}^{2} \left(e x\right)^{m}}{{\left(d x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)^2*(e*x)^m/(d*x^2 + c)^2, x)","F",0
32,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)*(B*x^2+A)/(d*x^2+c)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)} \left(e x\right)^{m}}{{\left(d x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)*(e*x)^m/(d*x^2 + c)^2, x)","F",0
33,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(d*x^2+c)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(d x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/(d*x^2 + c)^2, x)","F",0
34,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(b*x^2+a)/(d*x^2+c)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/((b*x^2 + a)*(d*x^2 + c)^2), x)","F",0
35,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(b*x^2+a)^2/(d*x^2+c)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{2} {\left(d x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/((b*x^2 + a)^2*(d*x^2 + c)^2), x)","F",0
36,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(b*x^2+a)^3/(d*x^2+c)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{3} {\left(d x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/((b*x^2 + a)^3*(d*x^2 + c)^2), x)","F",0
37,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^3*(B*x^2+A)/(d*x^2+c)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)}^{3} \left(e x\right)^{m}}{{\left(d x^{2} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)^3*(e*x)^m/(d*x^2 + c)^3, x)","F",0
38,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^2*(B*x^2+A)/(d*x^2+c)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)}^{2} \left(e x\right)^{m}}{{\left(d x^{2} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)^2*(e*x)^m/(d*x^2 + c)^3, x)","F",0
39,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)*(B*x^2+A)/(d*x^2+c)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)} \left(e x\right)^{m}}{{\left(d x^{2} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)*(e*x)^m/(d*x^2 + c)^3, x)","F",0
40,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(d*x^2+c)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(d x^{2} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/(d*x^2 + c)^3, x)","F",0
41,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(b*x^2+a)/(d*x^2+c)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)} {\left(d x^{2} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/((b*x^2 + a)*(d*x^2 + c)^3), x)","F",0
42,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(b*x^2+a)^2/(d*x^2+c)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{2} {\left(d x^{2} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/((b*x^2 + a)^2*(d*x^2 + c)^3), x)","F",0
43,0,0,0,0.000000," ","integrate((e*x)^m*(B*x^2+A)/(b*x^2+a)^3/(d*x^2+c)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} \left(e x\right)^{m}}{{\left(b x^{2} + a\right)}^{3} {\left(d x^{2} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(e*x)^m/((b*x^2 + a)^3*(d*x^2 + c)^3), x)","F",0
44,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^p*(B*x^2+A)*(d*x^2+c)^3,x, algorithm=""giac"")","\int {\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)}^{3} {\left(b x^{2} + a\right)}^{p} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)^3*(b*x^2 + a)^p*(e*x)^m, x)","F",0
45,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^p*(B*x^2+A)*(d*x^2+c)^2,x, algorithm=""giac"")","\int {\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)}^{2} {\left(b x^{2} + a\right)}^{p} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)^2*(b*x^2 + a)^p*(e*x)^m, x)","F",0
46,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^p*(B*x^2+A)*(d*x^2+c),x, algorithm=""giac"")","\int {\left(B x^{2} + A\right)} {\left(d x^{2} + c\right)} {\left(b x^{2} + a\right)}^{p} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((B*x^2 + A)*(d*x^2 + c)*(b*x^2 + a)^p*(e*x)^m, x)","F",0
47,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^p*(B*x^2+A)/(d*x^2+c),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)}^{p} \left(e x\right)^{m}}{d x^{2} + c}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)^p*(e*x)^m/(d*x^2 + c), x)","F",0
48,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^p*(B*x^2+A)/(d*x^2+c)^2,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)}^{p} \left(e x\right)^{m}}{{\left(d x^{2} + c\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)^p*(e*x)^m/(d*x^2 + c)^2, x)","F",0
49,0,0,0,0.000000," ","integrate((e*x)^m*(b*x^2+a)^p*(B*x^2+A)/(d*x^2+c)^3,x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} {\left(b x^{2} + a\right)}^{p} \left(e x\right)^{m}}{{\left(d x^{2} + c\right)}^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)*(b*x^2 + a)^p*(e*x)^m/(d*x^2 + c)^3, x)","F",0
50,1,113,0,0.432178," ","integrate((B*x^2+A)*(d*x^2+c)*(b*x^2+a)^(1/2)/x,x, algorithm=""giac"")","\frac{A a c \arctan\left(\frac{\sqrt{b x^{2} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \frac{5 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} B b^{9} c + 15 \, \sqrt{b x^{2} + a} A b^{10} c + 3 \, {\left(b x^{2} + a\right)}^{\frac{5}{2}} B b^{8} d - 5 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} B a b^{8} d + 5 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} A b^{9} d}{15 \, b^{10}}"," ",0,"A*a*c*arctan(sqrt(b*x^2 + a)/sqrt(-a))/sqrt(-a) + 1/15*(5*(b*x^2 + a)^(3/2)*B*b^9*c + 15*sqrt(b*x^2 + a)*A*b^10*c + 3*(b*x^2 + a)^(5/2)*B*b^8*d - 5*(b*x^2 + a)^(3/2)*B*a*b^8*d + 5*(b*x^2 + a)^(3/2)*A*b^9*d)/b^10","A",0
51,1,113,0,0.568868," ","integrate((b*x^2+a)*(B*x^2+A)*(d*x^2+c)^(1/2)/x,x, algorithm=""giac"")","\frac{A a c \arctan\left(\frac{\sqrt{d x^{2} + c}}{\sqrt{-c}}\right)}{\sqrt{-c}} + \frac{3 \, {\left(d x^{2} + c\right)}^{\frac{5}{2}} B b d^{8} - 5 \, {\left(d x^{2} + c\right)}^{\frac{3}{2}} B b c d^{8} + 5 \, {\left(d x^{2} + c\right)}^{\frac{3}{2}} B a d^{9} + 5 \, {\left(d x^{2} + c\right)}^{\frac{3}{2}} A b d^{9} + 15 \, \sqrt{d x^{2} + c} A a d^{10}}{15 \, d^{10}}"," ",0,"A*a*c*arctan(sqrt(d*x^2 + c)/sqrt(-c))/sqrt(-c) + 1/15*(3*(d*x^2 + c)^(5/2)*B*b*d^8 - 5*(d*x^2 + c)^(3/2)*B*b*c*d^8 + 5*(d*x^2 + c)^(3/2)*B*a*d^9 + 5*(d*x^2 + c)^(3/2)*A*b*d^9 + 15*sqrt(d*x^2 + c)*A*a*d^10)/d^10","A",0
