1,1,338,0,1.877606," ","integrate((e*x)^m*(b*x^2+a)^3*(B*x^2+A)*(d*x^2+c),x, algorithm=""maxima"")","\frac{B b^{3} d e^{m} x^{11} x^{m}}{m + 11} + \frac{B b^{3} c e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, B a b^{2} d e^{m} x^{9} x^{m}}{m + 9} + \frac{A b^{3} d e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, B a b^{2} c e^{m} x^{7} x^{m}}{m + 7} + \frac{A b^{3} c e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, B a^{2} b d e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, A a b^{2} d e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, B a^{2} b c e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A a b^{2} c e^{m} x^{5} x^{m}}{m + 5} + \frac{B a^{3} d e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A a^{2} b d e^{m} x^{5} x^{m}}{m + 5} + \frac{B a^{3} c e^{m} x^{3} x^{m}}{m + 3} + \frac{3 \, A a^{2} b c e^{m} x^{3} x^{m}}{m + 3} + \frac{A a^{3} d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A a^{3} c}{e {\left(m + 1\right)}}"," ",0,"B*b^3*d*e^m*x^11*x^m/(m + 11) + B*b^3*c*e^m*x^9*x^m/(m + 9) + 3*B*a*b^2*d*e^m*x^9*x^m/(m + 9) + A*b^3*d*e^m*x^9*x^m/(m + 9) + 3*B*a*b^2*c*e^m*x^7*x^m/(m + 7) + A*b^3*c*e^m*x^7*x^m/(m + 7) + 3*B*a^2*b*d*e^m*x^7*x^m/(m + 7) + 3*A*a*b^2*d*e^m*x^7*x^m/(m + 7) + 3*B*a^2*b*c*e^m*x^5*x^m/(m + 5) + 3*A*a*b^2*c*e^m*x^5*x^m/(m + 5) + B*a^3*d*e^m*x^5*x^m/(m + 5) + 3*A*a^2*b*d*e^m*x^5*x^m/(m + 5) + B*a^3*c*e^m*x^3*x^m/(m + 3) + 3*A*a^2*b*c*e^m*x^3*x^m/(m + 3) + A*a^3*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*a^3*c/(e*(m + 1))","A",0
2,1,242,0,1.813888," ","integrate((e*x)^m*(b*x^2+a)^2*(B*x^2+A)*(d*x^2+c),x, algorithm=""maxima"")","\frac{B b^{2} d e^{m} x^{9} x^{m}}{m + 9} + \frac{B b^{2} c e^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, B a b d e^{m} x^{7} x^{m}}{m + 7} + \frac{A b^{2} d e^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, B a b c e^{m} x^{5} x^{m}}{m + 5} + \frac{A b^{2} c e^{m} x^{5} x^{m}}{m + 5} + \frac{B a^{2} d e^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, A a b d e^{m} x^{5} x^{m}}{m + 5} + \frac{B a^{2} c e^{m} x^{3} x^{m}}{m + 3} + \frac{2 \, A a b c e^{m} x^{3} x^{m}}{m + 3} + \frac{A a^{2} d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A a^{2} c}{e {\left(m + 1\right)}}"," ",0,"B*b^2*d*e^m*x^9*x^m/(m + 9) + B*b^2*c*e^m*x^7*x^m/(m + 7) + 2*B*a*b*d*e^m*x^7*x^m/(m + 7) + A*b^2*d*e^m*x^7*x^m/(m + 7) + 2*B*a*b*c*e^m*x^5*x^m/(m + 5) + A*b^2*c*e^m*x^5*x^m/(m + 5) + B*a^2*d*e^m*x^5*x^m/(m + 5) + 2*A*a*b*d*e^m*x^5*x^m/(m + 5) + B*a^2*c*e^m*x^3*x^m/(m + 3) + 2*A*a*b*c*e^m*x^3*x^m/(m + 3) + A*a^2*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*a^2*c/(e*(m + 1))","A",0
3,1,146,0,1.626842," ","integrate((e*x)^m*(b*x^2+a)*(B*x^2+A)*(d*x^2+c),x, algorithm=""maxima"")","\frac{B b d e^{m} x^{7} x^{m}}{m + 7} + \frac{B b c e^{m} x^{5} x^{m}}{m + 5} + \frac{B a d e^{m} x^{5} x^{m}}{m + 5} + \frac{A b d e^{m} x^{5} x^{m}}{m + 5} + \frac{B a c e^{m} x^{3} x^{m}}{m + 3} + \frac{A b c e^{m} x^{3} x^{m}}{m + 3} + \frac{A a d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A a c}{e {\left(m + 1\right)}}"," ",0,"B*b*d*e^m*x^7*x^m/(m + 7) + B*b*c*e^m*x^5*x^m/(m + 5) + B*a*d*e^m*x^5*x^m/(m + 5) + A*b*d*e^m*x^5*x^m/(m + 5) + B*a*c*e^m*x^3*x^m/(m + 3) + A*b*c*e^m*x^3*x^m/(m + 3) + A*a*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*a*c/(e*(m + 1))","A",0
4,1,70,0,1.447888," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c),x, algorithm=""maxima"")","\frac{B d e^{m} x^{5} x^{m}}{m + 5} + \frac{B c e^{m} x^{3} x^{m}}{m + 3} + \frac{A d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A c}{e {\left(m + 1\right)}}"," ",0,"B*d*e^m*x^5*x^m/(m + 5) + B*c*e^m*x^3*x^m/(m + 3) + A*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*c/(e*(m + 1))","A",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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
8,1,550,0,2.267601," ","integrate((e*x)^m*(b*x^2+a)^3*(B*x^2+A)*(d*x^2+c)^2,x, algorithm=""maxima"")","\frac{B b^{3} d^{2} e^{m} x^{13} x^{m}}{m + 13} + \frac{2 \, B b^{3} c d e^{m} x^{11} x^{m}}{m + 11} + \frac{3 \, B a b^{2} d^{2} e^{m} x^{11} x^{m}}{m + 11} + \frac{A b^{3} d^{2} e^{m} x^{11} x^{m}}{m + 11} + \frac{B b^{3} c^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{6 \, B a b^{2} c d e^{m} x^{9} x^{m}}{m + 9} + \frac{2 \, A b^{3} c d e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, B a^{2} b d^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, A a b^{2} d^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, B a b^{2} c^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{A b^{3} c^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{6 \, B a^{2} b c d e^{m} x^{7} x^{m}}{m + 7} + \frac{6 \, A a b^{2} c d e^{m} x^{7} x^{m}}{m + 7} + \frac{B a^{3} d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, A a^{2} b d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, B a^{2} b c^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A a b^{2} c^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, B a^{3} c d e^{m} x^{5} x^{m}}{m + 5} + \frac{6 \, A a^{2} b c d e^{m} x^{5} x^{m}}{m + 5} + \frac{A a^{3} d^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{B a^{3} c^{2} e^{m} x^{3} x^{m}}{m + 3} + \frac{3 \, A a^{2} b c^{2} e^{m} x^{3} x^{m}}{m + 3} + \frac{2 \, A a^{3} c d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A a^{3} c^{2}}{e {\left(m + 1\right)}}"," ",0,"B*b^3*d^2*e^m*x^13*x^m/(m + 13) + 2*B*b^3*c*d*e^m*x^11*x^m/(m + 11) + 3*B*a*b^2*d^2*e^m*x^11*x^m/(m + 11) + A*b^3*d^2*e^m*x^11*x^m/(m + 11) + B*b^3*c^2*e^m*x^9*x^m/(m + 9) + 6*B*a*b^2*c*d*e^m*x^9*x^m/(m + 9) + 2*A*b^3*c*d*e^m*x^9*x^m/(m + 9) + 3*B*a^2*b*d^2*e^m*x^9*x^m/(m + 9) + 3*A*a*b^2*d^2*e^m*x^9*x^m/(m + 9) + 3*B*a*b^2*c^2*e^m*x^7*x^m/(m + 7) + A*b^3*c^2*e^m*x^7*x^m/(m + 7) + 6*B*a^2*b*c*d*e^m*x^7*x^m/(m + 7) + 6*A*a*b^2*c*d*e^m*x^7*x^m/(m + 7) + B*a^3*d^2*e^m*x^7*x^m/(m + 7) + 3*A*a^2*b*d^2*e^m*x^7*x^m/(m + 7) + 3*B*a^2*b*c^2*e^m*x^5*x^m/(m + 5) + 3*A*a*b^2*c^2*e^m*x^5*x^m/(m + 5) + 2*B*a^3*c*d*e^m*x^5*x^m/(m + 5) + 6*A*a^2*b*c*d*e^m*x^5*x^m/(m + 5) + A*a^3*d^2*e^m*x^5*x^m/(m + 5) + B*a^3*c^2*e^m*x^3*x^m/(m + 3) + 3*A*a^2*b*c^2*e^m*x^3*x^m/(m + 3) + 2*A*a^3*c*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*a^3*c^2/(e*(m + 1))","A",0
9,1,396,0,2.060121," ","integrate((e*x)^m*(b*x^2+a)^2*(B*x^2+A)*(d*x^2+c)^2,x, algorithm=""maxima"")","\frac{B b^{2} d^{2} e^{m} x^{11} x^{m}}{m + 11} + \frac{2 \, B b^{2} c d e^{m} x^{9} x^{m}}{m + 9} + \frac{2 \, B a b d^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{A b^{2} d^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{B b^{2} c^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{4 \, B a b c d e^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, A b^{2} c d e^{m} x^{7} x^{m}}{m + 7} + \frac{B a^{2} d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, A a b d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, B a b c^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{A b^{2} c^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, B a^{2} c d e^{m} x^{5} x^{m}}{m + 5} + \frac{4 \, A a b c d e^{m} x^{5} x^{m}}{m + 5} + \frac{A a^{2} d^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{B a^{2} c^{2} e^{m} x^{3} x^{m}}{m + 3} + \frac{2 \, A a b c^{2} e^{m} x^{3} x^{m}}{m + 3} + \frac{2 \, A a^{2} c d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A a^{2} c^{2}}{e {\left(m + 1\right)}}"," ",0,"B*b^2*d^2*e^m*x^11*x^m/(m + 11) + 2*B*b^2*c*d*e^m*x^9*x^m/(m + 9) + 2*B*a*b*d^2*e^m*x^9*x^m/(m + 9) + A*b^2*d^2*e^m*x^9*x^m/(m + 9) + B*b^2*c^2*e^m*x^7*x^m/(m + 7) + 4*B*a*b*c*d*e^m*x^7*x^m/(m + 7) + 2*A*b^2*c*d*e^m*x^7*x^m/(m + 7) + B*a^2*d^2*e^m*x^7*x^m/(m + 7) + 2*A*a*b*d^2*e^m*x^7*x^m/(m + 7) + 2*B*a*b*c^2*e^m*x^5*x^m/(m + 5) + A*b^2*c^2*e^m*x^5*x^m/(m + 5) + 2*B*a^2*c*d*e^m*x^5*x^m/(m + 5) + 4*A*a*b*c*d*e^m*x^5*x^m/(m + 5) + A*a^2*d^2*e^m*x^5*x^m/(m + 5) + B*a^2*c^2*e^m*x^3*x^m/(m + 3) + 2*A*a*b*c^2*e^m*x^3*x^m/(m + 3) + 2*A*a^2*c*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*a^2*c^2/(e*(m + 1))","A",0
10,1,242,0,1.800554," ","integrate((e*x)^m*(b*x^2+a)*(B*x^2+A)*(d*x^2+c)^2,x, algorithm=""maxima"")","\frac{B b d^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{2 \, B b c d e^{m} x^{7} x^{m}}{m + 7} + \frac{B a d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{A b d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{B b c^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, B a c d e^{m} x^{5} x^{m}}{m + 5} + \frac{2 \, A b c d e^{m} x^{5} x^{m}}{m + 5} + \frac{A a d^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{B a c^{2} e^{m} x^{3} x^{m}}{m + 3} + \frac{A b c^{2} e^{m} x^{3} x^{m}}{m + 3} + \frac{2 \, A a c d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A a c^{2}}{e {\left(m + 1\right)}}"," ",0,"B*b*d^2*e^m*x^9*x^m/(m + 9) + 2*B*b*c*d*e^m*x^7*x^m/(m + 7) + B*a*d^2*e^m*x^7*x^m/(m + 7) + A*b*d^2*e^m*x^7*x^m/(m + 7) + B*b*c^2*e^m*x^5*x^m/(m + 5) + 2*B*a*c*d*e^m*x^5*x^m/(m + 5) + 2*A*b*c*d*e^m*x^5*x^m/(m + 5) + A*a*d^2*e^m*x^5*x^m/(m + 5) + B*a*c^2*e^m*x^3*x^m/(m + 3) + A*b*c^2*e^m*x^3*x^m/(m + 3) + 2*A*a*c*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*a*c^2/(e*(m + 1))","A",0
11,1,116,0,1.510379," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)^2,x, algorithm=""maxima"")","\frac{B d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, B c d e^{m} x^{5} x^{m}}{m + 5} + \frac{A d^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{B c^{2} e^{m} x^{3} x^{m}}{m + 3} + \frac{2 \, A c d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A c^{2}}{e {\left(m + 1\right)}}"," ",0,"B*d^2*e^m*x^7*x^m/(m + 7) + 2*B*c*d*e^m*x^5*x^m/(m + 5) + A*d^2*e^m*x^5*x^m/(m + 5) + B*c^2*e^m*x^3*x^m/(m + 3) + 2*A*c*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*c^2/(e*(m + 1))","A",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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
15,1,762,0,2.492531," ","integrate((e*x)^m*(b*x^2+a)^3*(B*x^2+A)*(d*x^2+c)^3,x, algorithm=""maxima"")","\frac{B b^{3} d^{3} e^{m} x^{15} x^{m}}{m + 15} + \frac{3 \, B b^{3} c d^{2} e^{m} x^{13} x^{m}}{m + 13} + \frac{3 \, B a b^{2} d^{3} e^{m} x^{13} x^{m}}{m + 13} + \frac{A b^{3} d^{3} e^{m} x^{13} x^{m}}{m + 13} + \frac{3 \, B b^{3} c^{2} d e^{m} x^{11} x^{m}}{m + 11} + \frac{9 \, B a b^{2} c d^{2} e^{m} x^{11} x^{m}}{m + 11} + \frac{3 \, A b^{3} c d^{2} e^{m} x^{11} x^{m}}{m + 11} + \frac{3 \, B a^{2} b d^{3} e^{m} x^{11} x^{m}}{m + 11} + \frac{3 \, A a b^{2} d^{3} e^{m} x^{11} x^{m}}{m + 11} + \frac{B b^{3} c^{3} e^{m} x^{9} x^{m}}{m + 9} + \frac{9 \, B a b^{2} c^{2} d e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, A b^{3} c^{2} d e^{m} x^{9} x^{m}}{m + 9} + \frac{9 \, B a^{2} b c d^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{9 \, A a b^{2} c d^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{B a^{3} d^{3} e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, A a^{2} b d^{3} e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, B a b^{2} c^{3} e^{m} x^{7} x^{m}}{m + 7} + \frac{A b^{3} c^{3} e^{m} x^{7} x^{m}}{m + 7} + \frac{9 \, B a^{2} b c^{2} d e^{m} x^{7} x^{m}}{m + 7} + \frac{9 \, A a b^{2} c^{2} d e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, B a^{3} c d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{9 \, A a^{2} b c d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{A a^{3} d^{3} e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, B a^{2} b c^{3} e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A a b^{2} c^{3} e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, B a^{3} c^{2} d e^{m} x^{5} x^{m}}{m + 5} + \frac{9 \, A a^{2} b c^{2} d e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A a^{3} c d^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{B a^{3} c^{3} e^{m} x^{3} x^{m}}{m + 3} + \frac{3 \, A a^{2} b c^{3} e^{m} x^{3} x^{m}}{m + 3} + \frac{3 \, A a^{3} c^{2} d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A a^{3} c^{3}}{e {\left(m + 1\right)}}"," ",0,"B*b^3*d^3*e^m*x^15*x^m/(m + 15) + 3*B*b^3*c*d^2*e^m*x^13*x^m/(m + 13) + 3*B*a*b^2*d^3*e^m*x^13*x^m/(m + 13) + A*b^3*d^3*e^m*x^13*x^m/(m + 13) + 3*B*b^3*c^2*d*e^m*x^11*x^m/(m + 11) + 9*B*a*b^2*c*d^2*e^m*x^11*x^m/(m + 11) + 3*A*b^3*c*d^2*e^m*x^11*x^m/(m + 11) + 3*B*a^2*b*d^3*e^m*x^11*x^m/(m + 11) + 3*A*a*b^2*d^3*e^m*x^11*x^m/(m + 11) + B*b^3*c^3*e^m*x^9*x^m/(m + 9) + 9*B*a*b^2*c^2*d*e^m*x^9*x^m/(m + 9) + 3*A*b^3*c^2*d*e^m*x^9*x^m/(m + 9) + 9*B*a^2*b*c*d^2*e^m*x^9*x^m/(m + 9) + 9*A*a*b^2*c*d^2*e^m*x^9*x^m/(m + 9) + B*a^3*d^3*e^m*x^9*x^m/(m + 9) + 3*A*a^2*b*d^3*e^m*x^9*x^m/(m + 9) + 3*B*a*b^2*c^3*e^m*x^7*x^m/(m + 7) + A*b^3*c^3*e^m*x^7*x^m/(m + 7) + 9*B*a^2*b*c^2*d*e^m*x^7*x^m/(m + 7) + 9*A*a*b^2*c^2*d*e^m*x^7*x^m/(m + 7) + 3*B*a^3*c*d^2*e^m*x^7*x^m/(m + 7) + 9*A*a^2*b*c*d^2*e^m*x^7*x^m/(m + 7) + A*a^3*d^3*e^m*x^7*x^m/(m + 7) + 3*B*a^2*b*c^3*e^m*x^5*x^m/(m + 5) + 3*A*a*b^2*c^3*e^m*x^5*x^m/(m + 5) + 3*B*a^3*c^2*d*e^m*x^5*x^m/(m + 5) + 9*A*a^2*b*c^2*d*e^m*x^5*x^m/(m + 5) + 3*A*a^3*c*d^2*e^m*x^5*x^m/(m + 5) + B*a^3*c^3*e^m*x^3*x^m/(m + 3) + 3*A*a^2*b*c^3*e^m*x^3*x^m/(m + 3) + 3*A*a^3*c^2*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*a^3*c^3/(e*(m + 1))","B",0
16,1,550,0,2.316607," ","integrate((e*x)^m*(b*x^2+a)^2*(B*x^2+A)*(d*x^2+c)^3,x, algorithm=""maxima"")","\frac{B b^{2} d^{3} e^{m} x^{13} x^{m}}{m + 13} + \frac{3 \, B b^{2} c d^{2} e^{m} x^{11} x^{m}}{m + 11} + \frac{2 \, B a b d^{3} e^{m} x^{11} x^{m}}{m + 11} + \frac{A b^{2} d^{3} e^{m} x^{11} x^{m}}{m + 11} + \frac{3 \, B b^{2} c^{2} d e^{m} x^{9} x^{m}}{m + 9} + \frac{6 \, B a b c d^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, A b^{2} c d^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{B a^{2} d^{3} e^{m} x^{9} x^{m}}{m + 9} + \frac{2 \, A a b d^{3} e^{m} x^{9} x^{m}}{m + 9} + \frac{B b^{2} c^{3} e^{m} x^{7} x^{m}}{m + 7} + \frac{6 \, B a b c^{2} d e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, A b^{2} c^{2} d e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, B a^{2} c d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{6 \, A a b c d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{A a^{2} d^{3} e^{m} x^{7} x^{m}}{m + 7} + \frac{2 \, B a b c^{3} e^{m} x^{5} x^{m}}{m + 5} + \frac{A b^{2} c^{3} e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, B a^{2} c^{2} d e^{m} x^{5} x^{m}}{m + 5} + \frac{6 \, A a b c^{2} d e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A a^{2} c d^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{B a^{2} c^{3} e^{m} x^{3} x^{m}}{m + 3} + \frac{2 \, A a b c^{3} e^{m} x^{3} x^{m}}{m + 3} + \frac{3 \, A a^{2} c^{2} d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A a^{2} c^{3}}{e {\left(m + 1\right)}}"," ",0,"B*b^2*d^3*e^m*x^13*x^m/(m + 13) + 3*B*b^2*c*d^2*e^m*x^11*x^m/(m + 11) + 2*B*a*b*d^3*e^m*x^11*x^m/(m + 11) + A*b^2*d^3*e^m*x^11*x^m/(m + 11) + 3*B*b^2*c^2*d*e^m*x^9*x^m/(m + 9) + 6*B*a*b*c*d^2*e^m*x^9*x^m/(m + 9) + 3*A*b^2*c*d^2*e^m*x^9*x^m/(m + 9) + B*a^2*d^3*e^m*x^9*x^m/(m + 9) + 2*A*a*b*d^3*e^m*x^9*x^m/(m + 9) + B*b^2*c^3*e^m*x^7*x^m/(m + 7) + 6*B*a*b*c^2*d*e^m*x^7*x^m/(m + 7) + 3*A*b^2*c^2*d*e^m*x^7*x^m/(m + 7) + 3*B*a^2*c*d^2*e^m*x^7*x^m/(m + 7) + 6*A*a*b*c*d^2*e^m*x^7*x^m/(m + 7) + A*a^2*d^3*e^m*x^7*x^m/(m + 7) + 2*B*a*b*c^3*e^m*x^5*x^m/(m + 5) + A*b^2*c^3*e^m*x^5*x^m/(m + 5) + 3*B*a^2*c^2*d*e^m*x^5*x^m/(m + 5) + 6*A*a*b*c^2*d*e^m*x^5*x^m/(m + 5) + 3*A*a^2*c*d^2*e^m*x^5*x^m/(m + 5) + B*a^2*c^3*e^m*x^3*x^m/(m + 3) + 2*A*a*b*c^3*e^m*x^3*x^m/(m + 3) + 3*A*a^2*c^2*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*a^2*c^3/(e*(m + 1))","A",0
17,1,338,0,1.963994," ","integrate((e*x)^m*(b*x^2+a)*(B*x^2+A)*(d*x^2+c)^3,x, algorithm=""maxima"")","\frac{B b d^{3} e^{m} x^{11} x^{m}}{m + 11} + \frac{3 \, B b c d^{2} e^{m} x^{9} x^{m}}{m + 9} + \frac{B a d^{3} e^{m} x^{9} x^{m}}{m + 9} + \frac{A b d^{3} e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, B b c^{2} d e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, B a c d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, A b c d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{A a d^{3} e^{m} x^{7} x^{m}}{m + 7} + \frac{B b c^{3} e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, B a c^{2} d e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A b c^{2} d e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A a c d^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{B a c^{3} e^{m} x^{3} x^{m}}{m + 3} + \frac{A b c^{3} e^{m} x^{3} x^{m}}{m + 3} + \frac{3 \, A a c^{2} d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A a c^{3}}{e {\left(m + 1\right)}}"," ",0,"B*b*d^3*e^m*x^11*x^m/(m + 11) + 3*B*b*c*d^2*e^m*x^9*x^m/(m + 9) + B*a*d^3*e^m*x^9*x^m/(m + 9) + A*b*d^3*e^m*x^9*x^m/(m + 9) + 3*B*b*c^2*d*e^m*x^7*x^m/(m + 7) + 3*B*a*c*d^2*e^m*x^7*x^m/(m + 7) + 3*A*b*c*d^2*e^m*x^7*x^m/(m + 7) + A*a*d^3*e^m*x^7*x^m/(m + 7) + B*b*c^3*e^m*x^5*x^m/(m + 5) + 3*B*a*c^2*d*e^m*x^5*x^m/(m + 5) + 3*A*b*c^2*d*e^m*x^5*x^m/(m + 5) + 3*A*a*c*d^2*e^m*x^5*x^m/(m + 5) + B*a*c^3*e^m*x^3*x^m/(m + 3) + A*b*c^3*e^m*x^3*x^m/(m + 3) + 3*A*a*c^2*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*a*c^3/(e*(m + 1))","A",0
18,1,162,0,1.637010," ","integrate((e*x)^m*(B*x^2+A)*(d*x^2+c)^3,x, algorithm=""maxima"")","\frac{B d^{3} e^{m} x^{9} x^{m}}{m + 9} + \frac{3 \, B c d^{2} e^{m} x^{7} x^{m}}{m + 7} + \frac{A d^{3} e^{m} x^{7} x^{m}}{m + 7} + \frac{3 \, B c^{2} d e^{m} x^{5} x^{m}}{m + 5} + \frac{3 \, A c d^{2} e^{m} x^{5} x^{m}}{m + 5} + \frac{B c^{3} e^{m} x^{3} x^{m}}{m + 3} + \frac{3 \, A c^{2} d e^{m} x^{3} x^{m}}{m + 3} + \frac{\left(e x\right)^{m + 1} A c^{3}}{e {\left(m + 1\right)}}"," ",0,"B*d^3*e^m*x^9*x^m/(m + 9) + 3*B*c*d^2*e^m*x^7*x^m/(m + 7) + A*d^3*e^m*x^7*x^m/(m + 7) + 3*B*c^2*d*e^m*x^5*x^m/(m + 5) + 3*A*c*d^2*e^m*x^5*x^m/(m + 5) + B*c^3*e^m*x^3*x^m/(m + 3) + 3*A*c^2*d*e^m*x^3*x^m/(m + 3) + (e*x)^(m + 1)*A*c^3/(e*(m + 1))","A",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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
50,1,100,0,1.377178," ","integrate((B*x^2+A)*(d*x^2+c)*(b*x^2+a)^(1/2)/x,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} B d x^{2}}{5 \, b} - A \sqrt{a} c \operatorname{arsinh}\left(\frac{a}{\sqrt{a b} {\left| x \right|}}\right) + \sqrt{b x^{2} + a} A c + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} B c}{3 \, b} - \frac{2 \, {\left(b x^{2} + a\right)}^{\frac{3}{2}} B a d}{15 \, b^{2}} + \frac{{\left(b x^{2} + a\right)}^{\frac{3}{2}} A d}{3 \, b}"," ",0,"1/5*(b*x^2 + a)^(3/2)*B*d*x^2/b - A*sqrt(a)*c*arcsinh(a/(sqrt(a*b)*abs(x))) + sqrt(b*x^2 + a)*A*c + 1/3*(b*x^2 + a)^(3/2)*B*c/b - 2/15*(b*x^2 + a)^(3/2)*B*a*d/b^2 + 1/3*(b*x^2 + a)^(3/2)*A*d/b","A",0
51,1,100,0,1.365562," ","integrate((b*x^2+a)*(B*x^2+A)*(d*x^2+c)^(1/2)/x,x, algorithm=""maxima"")","\frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} B b x^{2}}{5 \, d} - A a \sqrt{c} \operatorname{arsinh}\left(\frac{c}{\sqrt{c d} {\left| x \right|}}\right) + \sqrt{d x^{2} + c} A a - \frac{2 \, {\left(d x^{2} + c\right)}^{\frac{3}{2}} B b c}{15 \, d^{2}} + \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} B a}{3 \, d} + \frac{{\left(d x^{2} + c\right)}^{\frac{3}{2}} A b}{3 \, d}"," ",0,"1/5*(d*x^2 + c)^(3/2)*B*b*x^2/d - A*a*sqrt(c)*arcsinh(c/(sqrt(c*d)*abs(x))) + sqrt(d*x^2 + c)*A*a - 2/15*(d*x^2 + c)^(3/2)*B*b*c/d^2 + 1/3*(d*x^2 + c)^(3/2)*B*a/d + 1/3*(d*x^2 + c)^(3/2)*A*b/d","A",0
