1,1,5682,0,1.590280," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","-\frac{{\left(6 \, B b^{11} c^{6} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 36 \, B a b^{10} c^{5} d g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 90 \, B a^{2} b^{9} c^{4} d^{2} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 120 \, B a^{3} b^{8} c^{3} d^{3} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 90 \, B a^{4} b^{7} c^{2} d^{4} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 36 \, B a^{5} b^{6} c d^{5} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 6 \, B a^{6} b^{5} d^{6} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{30 \, {\left(b x e + a e\right)} B b^{10} c^{6} d g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{180 \, {\left(b x e + a e\right)} B a b^{9} c^{5} d^{2} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{450 \, {\left(b x e + a e\right)} B a^{2} b^{8} c^{4} d^{3} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{600 \, {\left(b x e + a e\right)} B a^{3} b^{7} c^{3} d^{4} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{450 \, {\left(b x e + a e\right)} B a^{4} b^{6} c^{2} d^{5} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{180 \, {\left(b x e + a e\right)} B a^{5} b^{5} c d^{6} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{30 \, {\left(b x e + a e\right)} B a^{6} b^{4} d^{7} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{60 \, {\left(b x e + a e\right)}^{2} B b^{9} c^{6} d^{2} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x e + a e\right)}^{2} B a b^{8} c^{5} d^{3} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{900 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{7} c^{4} d^{4} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{1200 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{6} c^{3} d^{5} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{900 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{5} c^{2} d^{6} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{4} c d^{7} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{3} d^{8} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x e + a e\right)}^{3} B b^{8} c^{6} d^{3} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x e + a e\right)}^{3} B a b^{7} c^{5} d^{4} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{900 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{6} c^{4} d^{5} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{1200 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{5} c^{3} d^{6} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{900 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{4} c^{2} d^{7} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{3} c d^{8} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{2} d^{9} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{30 \, {\left(b x e + a e\right)}^{4} B b^{7} c^{6} d^{4} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{180 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{450 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{600 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{450 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{180 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{30 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{5} B b^{6} c^{6} d^{5} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{36 \, {\left(b x e + a e\right)}^{5} B a b^{5} c^{5} d^{6} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{90 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{4} c^{4} d^{7} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{120 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{3} c^{3} d^{8} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{90 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{2} c^{2} d^{9} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{36 \, {\left(b x e + a e\right)}^{5} B a^{5} b c d^{10} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{6 \, {\left(b x e + a e\right)}^{5} B a^{6} d^{11} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{30 \, {\left(b x e + a e\right)}^{4} B b^{7} c^{6} d^{4} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{180 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{450 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{600 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{450 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{180 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{30 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{6 \, {\left(b x e + a e\right)}^{5} B b^{6} c^{6} d^{5} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{36 \, {\left(b x e + a e\right)}^{5} B a b^{5} c^{5} d^{6} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{90 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{4} c^{4} d^{7} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{120 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{3} c^{3} d^{8} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{90 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{2} c^{2} d^{9} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{36 \, {\left(b x e + a e\right)}^{5} B a^{5} b c d^{10} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{6 \, {\left(b x e + a e\right)}^{5} B a^{6} d^{11} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + 6 \, A b^{11} c^{6} g^{3} i e^{6} + 5 \, B b^{11} c^{6} g^{3} i e^{6} - 36 \, A a b^{10} c^{5} d g^{3} i e^{6} - 30 \, B a b^{10} c^{5} d g^{3} i e^{6} + 90 \, A a^{2} b^{9} c^{4} d^{2} g^{3} i e^{6} + 75 \, B a^{2} b^{9} c^{4} d^{2} g^{3} i e^{6} - 120 \, A a^{3} b^{8} c^{3} d^{3} g^{3} i e^{6} - 100 \, B a^{3} b^{8} c^{3} d^{3} g^{3} i e^{6} + 90 \, A a^{4} b^{7} c^{2} d^{4} g^{3} i e^{6} + 75 \, B a^{4} b^{7} c^{2} d^{4} g^{3} i e^{6} - 36 \, A a^{5} b^{6} c d^{5} g^{3} i e^{6} - 30 \, B a^{5} b^{6} c d^{5} g^{3} i e^{6} + 6 \, A a^{6} b^{5} d^{6} g^{3} i e^{6} + 5 \, B a^{6} b^{5} d^{6} g^{3} i e^{6} - \frac{30 \, {\left(b x e + a e\right)} A b^{10} c^{6} d g^{3} i e^{5}}{d x + c} - \frac{19 \, {\left(b x e + a e\right)} B b^{10} c^{6} d g^{3} i e^{5}}{d x + c} + \frac{180 \, {\left(b x e + a e\right)} A a b^{9} c^{5} d^{2} g^{3} i e^{5}}{d x + c} + \frac{114 \, {\left(b x e + a e\right)} B a b^{9} c^{5} d^{2} g^{3} i e^{5}}{d x + c} - \frac{450 \, {\left(b x e + a e\right)} A a^{2} b^{8} c^{4} d^{3} g^{3} i e^{5}}{d x + c} - \frac{285 \, {\left(b x e + a e\right)} B a^{2} b^{8} c^{4} d^{3} g^{3} i e^{5}}{d x + c} + \frac{600 \, {\left(b x e + a e\right)} A a^{3} b^{7} c^{3} d^{4} g^{3} i e^{5}}{d x + c} + \frac{380 \, {\left(b x e + a e\right)} B a^{3} b^{7} c^{3} d^{4} g^{3} i e^{5}}{d x + c} - \frac{450 \, {\left(b x e + a e\right)} A a^{4} b^{6} c^{2} d^{5} g^{3} i e^{5}}{d x + c} - \frac{285 \, {\left(b x e + a e\right)} B a^{4} b^{6} c^{2} d^{5} g^{3} i e^{5}}{d x + c} + \frac{180 \, {\left(b x e + a e\right)} A a^{5} b^{5} c d^{6} g^{3} i e^{5}}{d x + c} + \frac{114 \, {\left(b x e + a e\right)} B a^{5} b^{5} c d^{6} g^{3} i e^{5}}{d x + c} - \frac{30 \, {\left(b x e + a e\right)} A a^{6} b^{4} d^{7} g^{3} i e^{5}}{d x + c} - \frac{19 \, {\left(b x e + a e\right)} B a^{6} b^{4} d^{7} g^{3} i e^{5}}{d x + c} + \frac{60 \, {\left(b x e + a e\right)}^{2} A b^{9} c^{6} d^{2} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{23 \, {\left(b x e + a e\right)}^{2} B b^{9} c^{6} d^{2} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x e + a e\right)}^{2} A a b^{8} c^{5} d^{3} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} - \frac{138 \, {\left(b x e + a e\right)}^{2} B a b^{8} c^{5} d^{3} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{900 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{7} c^{4} d^{4} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{345 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{7} c^{4} d^{4} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} - \frac{1200 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{6} c^{3} d^{5} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} - \frac{460 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{6} c^{3} d^{5} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{900 \, {\left(b x e + a e\right)}^{2} A a^{4} b^{5} c^{2} d^{6} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{345 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{5} c^{2} d^{6} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x e + a e\right)}^{2} A a^{5} b^{4} c d^{7} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} - \frac{138 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{4} c d^{7} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x e + a e\right)}^{2} A a^{6} b^{3} d^{8} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{23 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{3} d^{8} g^{3} i e^{4}}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x e + a e\right)}^{3} A b^{8} c^{6} d^{3} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{3 \, {\left(b x e + a e\right)}^{3} B b^{8} c^{6} d^{3} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x e + a e\right)}^{3} A a b^{7} c^{5} d^{4} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} + \frac{18 \, {\left(b x e + a e\right)}^{3} B a b^{7} c^{5} d^{4} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{900 \, {\left(b x e + a e\right)}^{3} A a^{2} b^{6} c^{4} d^{5} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{45 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{6} c^{4} d^{5} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} + \frac{1200 \, {\left(b x e + a e\right)}^{3} A a^{3} b^{5} c^{3} d^{6} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} + \frac{60 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{5} c^{3} d^{6} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{900 \, {\left(b x e + a e\right)}^{3} A a^{4} b^{4} c^{2} d^{7} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{45 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{4} c^{2} d^{7} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x e + a e\right)}^{3} A a^{5} b^{3} c d^{8} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} + \frac{18 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{3} c d^{8} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x e + a e\right)}^{3} A a^{6} b^{2} d^{9} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{3 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{2} d^{9} g^{3} i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{6 \, {\left(b x e + a e\right)}^{4} B b^{7} c^{6} d^{4} g^{3} i e^{2}}{{\left(d x + c\right)}^{4}} + \frac{36 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g^{3} i e^{2}}{{\left(d x + c\right)}^{4}} - \frac{90 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g^{3} i e^{2}}{{\left(d x + c\right)}^{4}} + \frac{120 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g^{3} i e^{2}}{{\left(d x + c\right)}^{4}} - \frac{90 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g^{3} i e^{2}}{{\left(d x + c\right)}^{4}} + \frac{36 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g^{3} i e^{2}}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g^{3} i e^{2}}{{\left(d x + c\right)}^{4}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{120 \, {\left(b^{7} d^{4} e^{5} - \frac{5 \, {\left(b x e + a e\right)} b^{6} d^{5} e^{4}}{d x + c} + \frac{10 \, {\left(b x e + a e\right)}^{2} b^{5} d^{6} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x e + a e\right)}^{3} b^{4} d^{7} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x e + a e\right)}^{4} b^{3} d^{8} e}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x e + a e\right)}^{5} b^{2} d^{9}}{{\left(d x + c\right)}^{5}}\right)}}"," ",0,"-1/120*(6*B*b^11*c^6*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 36*B*a*b^10*c^5*d*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 90*B*a^2*b^9*c^4*d^2*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 120*B*a^3*b^8*c^3*d^3*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 90*B*a^4*b^7*c^2*d^4*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 36*B*a^5*b^6*c*d^5*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 6*B*a^6*b^5*d^6*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 30*(b*x*e + a*e)*B*b^10*c^6*d*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 180*(b*x*e + a*e)*B*a*b^9*c^5*d^2*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 450*(b*x*e + a*e)*B*a^2*b^8*c^4*d^3*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 600*(b*x*e + a*e)*B*a^3*b^7*c^3*d^4*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 450*(b*x*e + a*e)*B*a^4*b^6*c^2*d^5*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 180*(b*x*e + a*e)*B*a^5*b^5*c*d^6*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 30*(b*x*e + a*e)*B*a^6*b^4*d^7*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 60*(b*x*e + a*e)^2*B*b^9*c^6*d^2*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 360*(b*x*e + a*e)^2*B*a*b^8*c^5*d^3*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 900*(b*x*e + a*e)^2*B*a^2*b^7*c^4*d^4*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 1200*(b*x*e + a*e)^2*B*a^3*b^6*c^3*d^5*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 900*(b*x*e + a*e)^2*B*a^4*b^5*c^2*d^6*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 360*(b*x*e + a*e)^2*B*a^5*b^4*c*d^7*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 60*(b*x*e + a*e)^2*B*a^6*b^3*d^8*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 60*(b*x*e + a*e)^3*B*b^8*c^6*d^3*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 360*(b*x*e + a*e)^3*B*a*b^7*c^5*d^4*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 900*(b*x*e + a*e)^3*B*a^2*b^6*c^4*d^5*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 1200*(b*x*e + a*e)^3*B*a^3*b^5*c^3*d^6*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 900*(b*x*e + a*e)^3*B*a^4*b^4*c^2*d^7*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 360*(b*x*e + a*e)^3*B*a^5*b^3*c*d^8*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 60*(b*x*e + a*e)^3*B*a^6*b^2*d^9*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 30*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 180*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 450*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 600*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 450*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 180*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 30*(b*x*e + a*e)^4*B*a^6*b*d^10*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 6*(b*x*e + a*e)^5*B*b^6*c^6*d^5*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 36*(b*x*e + a*e)^5*B*a*b^5*c^5*d^6*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 90*(b*x*e + a*e)^5*B*a^2*b^4*c^4*d^7*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 120*(b*x*e + a*e)^5*B*a^3*b^3*c^3*d^8*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 90*(b*x*e + a*e)^5*B*a^4*b^2*c^2*d^9*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 36*(b*x*e + a*e)^5*B*a^5*b*c*d^10*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 6*(b*x*e + a*e)^5*B*a^6*d^11*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 30*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 180*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 450*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 600*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 450*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 180*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 30*(b*x*e + a*e)^4*B*a^6*b*d^10*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 6*(b*x*e + a*e)^5*B*b^6*c^6*d^5*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 36*(b*x*e + a*e)^5*B*a*b^5*c^5*d^6*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 90*(b*x*e + a*e)^5*B*a^2*b^4*c^4*d^7*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 120*(b*x*e + a*e)^5*B*a^3*b^3*c^3*d^8*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 90*(b*x*e + a*e)^5*B*a^4*b^2*c^2*d^9*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 36*(b*x*e + a*e)^5*B*a^5*b*c*d^10*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 6*(b*x*e + a*e)^5*B*a^6*d^11*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 6*A*b^11*c^6*g^3*i*e^6 + 5*B*b^11*c^6*g^3*i*e^6 - 36*A*a*b^10*c^5*d*g^3*i*e^6 - 30*B*a*b^10*c^5*d*g^3*i*e^6 + 90*A*a^2*b^9*c^4*d^2*g^3*i*e^6 + 75*B*a^2*b^9*c^4*d^2*g^3*i*e^6 - 120*A*a^3*b^8*c^3*d^3*g^3*i*e^6 - 100*B*a^3*b^8*c^3*d^3*g^3*i*e^6 + 90*A*a^4*b^7*c^2*d^4*g^3*i*e^6 + 75*B*a^4*b^7*c^2*d^4*g^3*i*e^6 - 36*A*a^5*b^6*c*d^5*g^3*i*e^6 - 30*B*a^5*b^6*c*d^5*g^3*i*e^6 + 6*A*a^6*b^5*d^6*g^3*i*e^6 + 5*B*a^6*b^5*d^6*g^3*i*e^6 - 30*(b*x*e + a*e)*A*b^10*c^6*d*g^3*i*e^5/(d*x + c) - 19*(b*x*e + a*e)*B*b^10*c^6*d*g^3*i*e^5/(d*x + c) + 180*(b*x*e + a*e)*A*a*b^9*c^5*d^2*g^3*i*e^5/(d*x + c) + 114*(b*x*e + a*e)*B*a*b^9*c^5*d^2*g^3*i*e^5/(d*x + c) - 450*(b*x*e + a*e)*A*a^2*b^8*c^4*d^3*g^3*i*e^5/(d*x + c) - 285*(b*x*e + a*e)*B*a^2*b^8*c^4*d^3*g^3*i*e^5/(d*x + c) + 600*(b*x*e + a*e)*A*a^3*b^7*c^3*d^4*g^3*i*e^5/(d*x + c) + 380*(b*x*e + a*e)*B*a^3*b^7*c^3*d^4*g^3*i*e^5/(d*x + c) - 450*(b*x*e + a*e)*A*a^4*b^6*c^2*d^5*g^3*i*e^5/(d*x + c) - 285*(b*x*e + a*e)*B*a^4*b^6*c^2*d^5*g^3*i*e^5/(d*x + c) + 180*(b*x*e + a*e)*A*a^5*b^5*c*d^6*g^3*i*e^5/(d*x + c) + 114*(b*x*e + a*e)*B*a^5*b^5*c*d^6*g^3*i*e^5/(d*x + c) - 30*(b*x*e + a*e)*A*a^6*b^4*d^7*g^3*i*e^5/(d*x + c) - 19*(b*x*e + a*e)*B*a^6*b^4*d^7*g^3*i*e^5/(d*x + c) + 60*(b*x*e + a*e)^2*A*b^9*c^6*d^2*g^3*i*e^4/(d*x + c)^2 + 23*(b*x*e + a*e)^2*B*b^9*c^6*d^2*g^3*i*e^4/(d*x + c)^2 - 360*(b*x*e + a*e)^2*A*a*b^8*c^5*d^3*g^3*i*e^4/(d*x + c)^2 - 138*(b*x*e + a*e)^2*B*a*b^8*c^5*d^3*g^3*i*e^4/(d*x + c)^2 + 900*(b*x*e + a*e)^2*A*a^2*b^7*c^4*d^4*g^3*i*e^4/(d*x + c)^2 + 345*(b*x*e + a*e)^2*B*a^2*b^7*c^4*d^4*g^3*i*e^4/(d*x + c)^2 - 1200*(b*x*e + a*e)^2*A*a^3*b^6*c^3*d^5*g^3*i*e^4/(d*x + c)^2 - 460*(b*x*e + a*e)^2*B*a^3*b^6*c^3*d^5*g^3*i*e^4/(d*x + c)^2 + 900*(b*x*e + a*e)^2*A*a^4*b^5*c^2*d^6*g^3*i*e^4/(d*x + c)^2 + 345*(b*x*e + a*e)^2*B*a^4*b^5*c^2*d^6*g^3*i*e^4/(d*x + c)^2 - 360*(b*x*e + a*e)^2*A*a^5*b^4*c*d^7*g^3*i*e^4/(d*x + c)^2 - 138*(b*x*e + a*e)^2*B*a^5*b^4*c*d^7*g^3*i*e^4/(d*x + c)^2 + 60*(b*x*e + a*e)^2*A*a^6*b^3*d^8*g^3*i*e^4/(d*x + c)^2 + 23*(b*x*e + a*e)^2*B*a^6*b^3*d^8*g^3*i*e^4/(d*x + c)^2 - 60*(b*x*e + a*e)^3*A*b^8*c^6*d^3*g^3*i*e^3/(d*x + c)^3 - 3*(b*x*e + a*e)^3*B*b^8*c^6*d^3*g^3*i*e^3/(d*x + c)^3 + 360*(b*x*e + a*e)^3*A*a*b^7*c^5*d^4*g^3*i*e^3/(d*x + c)^3 + 18*(b*x*e + a*e)^3*B*a*b^7*c^5*d^4*g^3*i*e^3/(d*x + c)^3 - 900*(b*x*e + a*e)^3*A*a^2*b^6*c^4*d^5*g^3*i*e^3/(d*x + c)^3 - 45*(b*x*e + a*e)^3*B*a^2*b^6*c^4*d^5*g^3*i*e^3/(d*x + c)^3 + 1200*(b*x*e + a*e)^3*A*a^3*b^5*c^3*d^6*g^3*i*e^3/(d*x + c)^3 + 60*(b*x*e + a*e)^3*B*a^3*b^5*c^3*d^6*g^3*i*e^3/(d*x + c)^3 - 900*(b*x*e + a*e)^3*A*a^4*b^4*c^2*d^7*g^3*i*e^3/(d*x + c)^3 - 45*(b*x*e + a*e)^3*B*a^4*b^4*c^2*d^7*g^3*i*e^3/(d*x + c)^3 + 360*(b*x*e + a*e)^3*A*a^5*b^3*c*d^8*g^3*i*e^3/(d*x + c)^3 + 18*(b*x*e + a*e)^3*B*a^5*b^3*c*d^8*g^3*i*e^3/(d*x + c)^3 - 60*(b*x*e + a*e)^3*A*a^6*b^2*d^9*g^3*i*e^3/(d*x + c)^3 - 3*(b*x*e + a*e)^3*B*a^6*b^2*d^9*g^3*i*e^3/(d*x + c)^3 - 6*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g^3*i*e^2/(d*x + c)^4 + 36*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g^3*i*e^2/(d*x + c)^4 - 90*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g^3*i*e^2/(d*x + c)^4 + 120*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g^3*i*e^2/(d*x + c)^4 - 90*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g^3*i*e^2/(d*x + c)^4 + 36*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g^3*i*e^2/(d*x + c)^4 - 6*(b*x*e + a*e)^4*B*a^6*b*d^10*g^3*i*e^2/(d*x + c)^4)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^7*d^4*e^5 - 5*(b*x*e + a*e)*b^6*d^5*e^4/(d*x + c) + 10*(b*x*e + a*e)^2*b^5*d^6*e^3/(d*x + c)^2 - 10*(b*x*e + a*e)^3*b^4*d^7*e^2/(d*x + c)^3 + 5*(b*x*e + a*e)^4*b^3*d^8*e/(d*x + c)^4 - (b*x*e + a*e)^5*b^2*d^9/(d*x + c)^5)","B",0
2,1,3993,0,1.189663," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(2 \, B b^{9} c^{5} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 10 \, B a b^{8} c^{4} d g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 20 \, B a^{2} b^{7} c^{3} d^{2} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 20 \, B a^{3} b^{6} c^{2} d^{3} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 10 \, B a^{4} b^{5} c d^{4} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 2 \, B a^{5} b^{4} d^{5} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{8 \, {\left(b x e + a e\right)} B b^{8} c^{5} d g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{40 \, {\left(b x e + a e\right)} B a b^{7} c^{4} d^{2} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{80 \, {\left(b x e + a e\right)} B a^{2} b^{6} c^{3} d^{3} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{80 \, {\left(b x e + a e\right)} B a^{3} b^{5} c^{2} d^{4} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{40 \, {\left(b x e + a e\right)} B a^{4} b^{4} c d^{5} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{8 \, {\left(b x e + a e\right)} B a^{5} b^{3} d^{6} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{12 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c d^{6} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{2} d^{7} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{8 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{40 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{80 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{80 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} d^{6} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{40 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{8 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{2 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{5} d^{4} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{10 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{4} d^{5} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{20 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{3} c^{3} d^{6} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{20 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{2} c^{2} d^{7} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{10 \, {\left(b x e + a e\right)}^{4} B a^{4} b c d^{8} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x e + a e\right)}^{4} B a^{5} d^{9} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{8 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{40 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{80 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{80 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} d^{6} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{40 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{8 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{5} d^{4} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{10 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{4} d^{5} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{20 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{3} c^{3} d^{6} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{20 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{2} c^{2} d^{7} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{10 \, {\left(b x e + a e\right)}^{4} B a^{4} b c d^{8} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{2 \, {\left(b x e + a e\right)}^{4} B a^{5} d^{9} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + 2 \, A b^{9} c^{5} g^{2} i e^{5} + B b^{9} c^{5} g^{2} i e^{5} - 10 \, A a b^{8} c^{4} d g^{2} i e^{5} - 5 \, B a b^{8} c^{4} d g^{2} i e^{5} + 20 \, A a^{2} b^{7} c^{3} d^{2} g^{2} i e^{5} + 10 \, B a^{2} b^{7} c^{3} d^{2} g^{2} i e^{5} - 20 \, A a^{3} b^{6} c^{2} d^{3} g^{2} i e^{5} - 10 \, B a^{3} b^{6} c^{2} d^{3} g^{2} i e^{5} + 10 \, A a^{4} b^{5} c d^{4} g^{2} i e^{5} + 5 \, B a^{4} b^{5} c d^{4} g^{2} i e^{5} - 2 \, A a^{5} b^{4} d^{5} g^{2} i e^{5} - B a^{5} b^{4} d^{5} g^{2} i e^{5} - \frac{8 \, {\left(b x e + a e\right)} A b^{8} c^{5} d g^{2} i e^{4}}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} B b^{8} c^{5} d g^{2} i e^{4}}{d x + c} + \frac{40 \, {\left(b x e + a e\right)} A a b^{7} c^{4} d^{2} g^{2} i e^{4}}{d x + c} + \frac{10 \, {\left(b x e + a e\right)} B a b^{7} c^{4} d^{2} g^{2} i e^{4}}{d x + c} - \frac{80 \, {\left(b x e + a e\right)} A a^{2} b^{6} c^{3} d^{3} g^{2} i e^{4}}{d x + c} - \frac{20 \, {\left(b x e + a e\right)} B a^{2} b^{6} c^{3} d^{3} g^{2} i e^{4}}{d x + c} + \frac{80 \, {\left(b x e + a e\right)} A a^{3} b^{5} c^{2} d^{4} g^{2} i e^{4}}{d x + c} + \frac{20 \, {\left(b x e + a e\right)} B a^{3} b^{5} c^{2} d^{4} g^{2} i e^{4}}{d x + c} - \frac{40 \, {\left(b x e + a e\right)} A a^{4} b^{4} c d^{5} g^{2} i e^{4}}{d x + c} - \frac{10 \, {\left(b x e + a e\right)} B a^{4} b^{4} c d^{5} g^{2} i e^{4}}{d x + c} + \frac{8 \, {\left(b x e + a e\right)} A a^{5} b^{3} d^{6} g^{2} i e^{4}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} B a^{5} b^{3} d^{6} g^{2} i e^{4}}{d x + c} + \frac{12 \, {\left(b x e + a e\right)}^{2} A b^{7} c^{5} d^{2} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x e + a e\right)}^{2} A a b^{6} c^{4} d^{3} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{5 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{5} c^{3} d^{4} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{4} c^{2} d^{5} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{10 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x e + a e\right)}^{2} A a^{4} b^{3} c d^{6} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} - \frac{5 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c d^{6} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} A a^{5} b^{2} d^{7} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x e + a e\right)}^{2} B a^{5} b^{2} d^{7} g^{2} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} g^{2} i e^{2}}{{\left(d x + c\right)}^{3}} - \frac{10 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} g^{2} i e^{2}}{{\left(d x + c\right)}^{3}} + \frac{20 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} g^{2} i e^{2}}{{\left(d x + c\right)}^{3}} - \frac{20 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} d^{6} g^{2} i e^{2}}{{\left(d x + c\right)}^{3}} + \frac{10 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} g^{2} i e^{2}}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} g^{2} i e^{2}}{{\left(d x + c\right)}^{3}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{24 \, {\left(b^{6} d^{3} e^{4} - \frac{4 \, {\left(b x e + a e\right)} b^{5} d^{4} e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)}^{2} b^{4} d^{5} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{3} b^{3} d^{6} e}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x e + a e\right)}^{4} b^{2} d^{7}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"1/24*(2*B*b^9*c^5*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 10*B*a*b^8*c^4*d*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 20*B*a^2*b^7*c^3*d^2*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 20*B*a^3*b^6*c^2*d^3*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 10*B*a^4*b^5*c*d^4*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 2*B*a^5*b^4*d^5*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 8*(b*x*e + a*e)*B*b^8*c^5*d*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 40*(b*x*e + a*e)*B*a*b^7*c^4*d^2*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 80*(b*x*e + a*e)*B*a^2*b^6*c^3*d^3*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 80*(b*x*e + a*e)*B*a^3*b^5*c^2*d^4*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 40*(b*x*e + a*e)*B*a^4*b^4*c*d^5*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 8*(b*x*e + a*e)*B*a^5*b^3*d^6*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 12*(b*x*e + a*e)^2*B*b^7*c^5*d^2*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 60*(b*x*e + a*e)^2*B*a*b^6*c^4*d^3*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 120*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 120*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 60*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 12*(b*x*e + a*e)^2*B*a^5*b^2*d^7*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 8*(b*x*e + a*e)^3*B*b^6*c^5*d^3*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 40*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 80*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 80*(b*x*e + a*e)^3*B*a^3*b^3*c^2*d^6*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 40*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 8*(b*x*e + a*e)^3*B*a^5*b*d^8*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 2*(b*x*e + a*e)^4*B*b^5*c^5*d^4*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 10*(b*x*e + a*e)^4*B*a*b^4*c^4*d^5*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 20*(b*x*e + a*e)^4*B*a^2*b^3*c^3*d^6*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 20*(b*x*e + a*e)^4*B*a^3*b^2*c^2*d^7*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 10*(b*x*e + a*e)^4*B*a^4*b*c*d^8*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 2*(b*x*e + a*e)^4*B*a^5*d^9*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 8*(b*x*e + a*e)^3*B*b^6*c^5*d^3*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 40*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 80*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 80*(b*x*e + a*e)^3*B*a^3*b^3*c^2*d^6*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 40*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 8*(b*x*e + a*e)^3*B*a^5*b*d^8*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 2*(b*x*e + a*e)^4*B*b^5*c^5*d^4*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 10*(b*x*e + a*e)^4*B*a*b^4*c^4*d^5*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 20*(b*x*e + a*e)^4*B*a^2*b^3*c^3*d^6*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 20*(b*x*e + a*e)^4*B*a^3*b^2*c^2*d^7*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 10*(b*x*e + a*e)^4*B*a^4*b*c*d^8*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 2*(b*x*e + a*e)^4*B*a^5*d^9*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 2*A*b^9*c^5*g^2*i*e^5 + B*b^9*c^5*g^2*i*e^5 - 10*A*a*b^8*c^4*d*g^2*i*e^5 - 5*B*a*b^8*c^4*d*g^2*i*e^5 + 20*A*a^2*b^7*c^3*d^2*g^2*i*e^5 + 10*B*a^2*b^7*c^3*d^2*g^2*i*e^5 - 20*A*a^3*b^6*c^2*d^3*g^2*i*e^5 - 10*B*a^3*b^6*c^2*d^3*g^2*i*e^5 + 10*A*a^4*b^5*c*d^4*g^2*i*e^5 + 5*B*a^4*b^5*c*d^4*g^2*i*e^5 - 2*A*a^5*b^4*d^5*g^2*i*e^5 - B*a^5*b^4*d^5*g^2*i*e^5 - 8*(b*x*e + a*e)*A*b^8*c^5*d*g^2*i*e^4/(d*x + c) - 2*(b*x*e + a*e)*B*b^8*c^5*d*g^2*i*e^4/(d*x + c) + 40*(b*x*e + a*e)*A*a*b^7*c^4*d^2*g^2*i*e^4/(d*x + c) + 10*(b*x*e + a*e)*B*a*b^7*c^4*d^2*g^2*i*e^4/(d*x + c) - 80*(b*x*e + a*e)*A*a^2*b^6*c^3*d^3*g^2*i*e^4/(d*x + c) - 20*(b*x*e + a*e)*B*a^2*b^6*c^3*d^3*g^2*i*e^4/(d*x + c) + 80*(b*x*e + a*e)*A*a^3*b^5*c^2*d^4*g^2*i*e^4/(d*x + c) + 20*(b*x*e + a*e)*B*a^3*b^5*c^2*d^4*g^2*i*e^4/(d*x + c) - 40*(b*x*e + a*e)*A*a^4*b^4*c*d^5*g^2*i*e^4/(d*x + c) - 10*(b*x*e + a*e)*B*a^4*b^4*c*d^5*g^2*i*e^4/(d*x + c) + 8*(b*x*e + a*e)*A*a^5*b^3*d^6*g^2*i*e^4/(d*x + c) + 2*(b*x*e + a*e)*B*a^5*b^3*d^6*g^2*i*e^4/(d*x + c) + 12*(b*x*e + a*e)^2*A*b^7*c^5*d^2*g^2*i*e^3/(d*x + c)^2 - (b*x*e + a*e)^2*B*b^7*c^5*d^2*g^2*i*e^3/(d*x + c)^2 - 60*(b*x*e + a*e)^2*A*a*b^6*c^4*d^3*g^2*i*e^3/(d*x + c)^2 + 5*(b*x*e + a*e)^2*B*a*b^6*c^4*d^3*g^2*i*e^3/(d*x + c)^2 + 120*(b*x*e + a*e)^2*A*a^2*b^5*c^3*d^4*g^2*i*e^3/(d*x + c)^2 - 10*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*g^2*i*e^3/(d*x + c)^2 - 120*(b*x*e + a*e)^2*A*a^3*b^4*c^2*d^5*g^2*i*e^3/(d*x + c)^2 + 10*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*g^2*i*e^3/(d*x + c)^2 + 60*(b*x*e + a*e)^2*A*a^4*b^3*c*d^6*g^2*i*e^3/(d*x + c)^2 - 5*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*g^2*i*e^3/(d*x + c)^2 - 12*(b*x*e + a*e)^2*A*a^5*b^2*d^7*g^2*i*e^3/(d*x + c)^2 + (b*x*e + a*e)^2*B*a^5*b^2*d^7*g^2*i*e^3/(d*x + c)^2 + 2*(b*x*e + a*e)^3*B*b^6*c^5*d^3*g^2*i*e^2/(d*x + c)^3 - 10*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*g^2*i*e^2/(d*x + c)^3 + 20*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*g^2*i*e^2/(d*x + c)^3 - 20*(b*x*e + a*e)^3*B*a^3*b^3*c^2*d^6*g^2*i*e^2/(d*x + c)^3 + 10*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*g^2*i*e^2/(d*x + c)^3 - 2*(b*x*e + a*e)^3*B*a^5*b*d^8*g^2*i*e^2/(d*x + c)^3)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^6*d^3*e^4 - 4*(b*x*e + a*e)*b^5*d^4*e^3/(d*x + c) + 6*(b*x*e + a*e)^2*b^4*d^5*e^2/(d*x + c)^2 - 4*(b*x*e + a*e)^3*b^3*d^6*e/(d*x + c)^3 + (b*x*e + a*e)^4*b^2*d^7/(d*x + c)^4)","B",0
3,1,2404,0,0.849458," ","integrate((b*g*x+a*g)*(d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","-\frac{{\left(B b^{7} c^{4} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 4 \, B a b^{6} c^{3} d g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 6 \, B a^{2} b^{5} c^{2} d^{2} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 4 \, B a^{3} b^{4} c d^{3} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + B a^{4} b^{3} d^{4} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{3 \, {\left(b x e + a e\right)} B b^{6} c^{4} d g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{12 \, {\left(b x e + a e\right)} B a b^{5} c^{3} d^{2} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{18 \, {\left(b x e + a e\right)} B a^{2} b^{4} c^{2} d^{3} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{12 \, {\left(b x e + a e\right)} B a^{3} b^{3} c d^{4} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{3 \, {\left(b x e + a e\right)} B a^{4} b^{2} d^{5} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{3 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{4} d^{2} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{3} d^{3} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{18 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c^{2} d^{4} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} c d^{5} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{3 \, {\left(b x e + a e\right)}^{2} B a^{4} b d^{6} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{3} B b^{4} c^{4} d^{3} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{4 \, {\left(b x e + a e\right)}^{3} B a b^{3} c^{3} d^{4} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{6 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{2} c^{2} d^{5} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{4 \, {\left(b x e + a e\right)}^{3} B a^{3} b c d^{6} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{{\left(b x e + a e\right)}^{3} B a^{4} d^{7} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{3 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{4} d^{2} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{3} d^{3} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{18 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c^{2} d^{4} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} c d^{5} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{3 \, {\left(b x e + a e\right)}^{2} B a^{4} b d^{6} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x e + a e\right)}^{3} B b^{4} c^{4} d^{3} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{4 \, {\left(b x e + a e\right)}^{3} B a b^{3} c^{3} d^{4} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{6 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{2} c^{2} d^{5} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{4 \, {\left(b x e + a e\right)}^{3} B a^{3} b c d^{6} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x e + a e\right)}^{3} B a^{4} d^{7} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + A b^{7} c^{4} g i e^{4} - 4 \, A a b^{6} c^{3} d g i e^{4} + 6 \, A a^{2} b^{5} c^{2} d^{2} g i e^{4} - 4 \, A a^{3} b^{4} c d^{3} g i e^{4} + A a^{4} b^{3} d^{4} g i e^{4} - \frac{3 \, {\left(b x e + a e\right)} A b^{6} c^{4} d g i e^{3}}{d x + c} + \frac{{\left(b x e + a e\right)} B b^{6} c^{4} d g i e^{3}}{d x + c} + \frac{12 \, {\left(b x e + a e\right)} A a b^{5} c^{3} d^{2} g i e^{3}}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B a b^{5} c^{3} d^{2} g i e^{3}}{d x + c} - \frac{18 \, {\left(b x e + a e\right)} A a^{2} b^{4} c^{2} d^{3} g i e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B a^{2} b^{4} c^{2} d^{3} g i e^{3}}{d x + c} + \frac{12 \, {\left(b x e + a e\right)} A a^{3} b^{3} c d^{4} g i e^{3}}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B a^{3} b^{3} c d^{4} g i e^{3}}{d x + c} - \frac{3 \, {\left(b x e + a e\right)} A a^{4} b^{2} d^{5} g i e^{3}}{d x + c} + \frac{{\left(b x e + a e\right)} B a^{4} b^{2} d^{5} g i e^{3}}{d x + c} - \frac{{\left(b x e + a e\right)}^{2} B b^{5} c^{4} d^{2} g i e^{2}}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{3} d^{3} g i e^{2}}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c^{2} d^{4} g i e^{2}}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} c d^{5} g i e^{2}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} B a^{4} b d^{6} g i e^{2}}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{6 \, {\left(b^{5} d^{2} e^{3} - \frac{3 \, {\left(b x e + a e\right)} b^{4} d^{3} e^{2}}{d x + c} + \frac{3 \, {\left(b x e + a e\right)}^{2} b^{3} d^{4} e}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{3} b^{2} d^{5}}{{\left(d x + c\right)}^{3}}\right)}}"," ",0,"-1/6*(B*b^7*c^4*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 4*B*a*b^6*c^3*d*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 6*B*a^2*b^5*c^2*d^2*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 4*B*a^3*b^4*c*d^3*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + B*a^4*b^3*d^4*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 3*(b*x*e + a*e)*B*b^6*c^4*d*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 12*(b*x*e + a*e)*B*a*b^5*c^3*d^2*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 18*(b*x*e + a*e)*B*a^2*b^4*c^2*d^3*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 12*(b*x*e + a*e)*B*a^3*b^3*c*d^4*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 3*(b*x*e + a*e)*B*a^4*b^2*d^5*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 3*(b*x*e + a*e)^2*B*b^5*c^4*d^2*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 12*(b*x*e + a*e)^2*B*a*b^4*c^3*d^3*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 18*(b*x*e + a*e)^2*B*a^2*b^3*c^2*d^4*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 12*(b*x*e + a*e)^2*B*a^3*b^2*c*d^5*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 3*(b*x*e + a*e)^2*B*a^4*b*d^6*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^3*B*b^4*c^4*d^3*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 4*(b*x*e + a*e)^3*B*a*b^3*c^3*d^4*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 6*(b*x*e + a*e)^3*B*a^2*b^2*c^2*d^5*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 4*(b*x*e + a*e)^3*B*a^3*b*c*d^6*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - (b*x*e + a*e)^3*B*a^4*d^7*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 3*(b*x*e + a*e)^2*B*b^5*c^4*d^2*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 12*(b*x*e + a*e)^2*B*a*b^4*c^3*d^3*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 18*(b*x*e + a*e)^2*B*a^2*b^3*c^2*d^4*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 12*(b*x*e + a*e)^2*B*a^3*b^2*c*d^5*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 3*(b*x*e + a*e)^2*B*a^4*b*d^6*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + (b*x*e + a*e)^3*B*b^4*c^4*d^3*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 4*(b*x*e + a*e)^3*B*a*b^3*c^3*d^4*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 6*(b*x*e + a*e)^3*B*a^2*b^2*c^2*d^5*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 4*(b*x*e + a*e)^3*B*a^3*b*c*d^6*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + (b*x*e + a*e)^3*B*a^4*d^7*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + A*b^7*c^4*g*i*e^4 - 4*A*a*b^6*c^3*d*g*i*e^4 + 6*A*a^2*b^5*c^2*d^2*g*i*e^4 - 4*A*a^3*b^4*c*d^3*g*i*e^4 + A*a^4*b^3*d^4*g*i*e^4 - 3*(b*x*e + a*e)*A*b^6*c^4*d*g*i*e^3/(d*x + c) + (b*x*e + a*e)*B*b^6*c^4*d*g*i*e^3/(d*x + c) + 12*(b*x*e + a*e)*A*a*b^5*c^3*d^2*g*i*e^3/(d*x + c) - 4*(b*x*e + a*e)*B*a*b^5*c^3*d^2*g*i*e^3/(d*x + c) - 18*(b*x*e + a*e)*A*a^2*b^4*c^2*d^3*g*i*e^3/(d*x + c) + 6*(b*x*e + a*e)*B*a^2*b^4*c^2*d^3*g*i*e^3/(d*x + c) + 12*(b*x*e + a*e)*A*a^3*b^3*c*d^4*g*i*e^3/(d*x + c) - 4*(b*x*e + a*e)*B*a^3*b^3*c*d^4*g*i*e^3/(d*x + c) - 3*(b*x*e + a*e)*A*a^4*b^2*d^5*g*i*e^3/(d*x + c) + (b*x*e + a*e)*B*a^4*b^2*d^5*g*i*e^3/(d*x + c) - (b*x*e + a*e)^2*B*b^5*c^4*d^2*g*i*e^2/(d*x + c)^2 + 4*(b*x*e + a*e)^2*B*a*b^4*c^3*d^3*g*i*e^2/(d*x + c)^2 - 6*(b*x*e + a*e)^2*B*a^2*b^3*c^2*d^4*g*i*e^2/(d*x + c)^2 + 4*(b*x*e + a*e)^2*B*a^3*b^2*c*d^5*g*i*e^2/(d*x + c)^2 - (b*x*e + a*e)^2*B*a^4*b*d^6*g*i*e^2/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^5*d^2*e^3 - 3*(b*x*e + a*e)*b^4*d^3*e^2/(d*x + c) + 3*(b*x*e + a*e)^2*b^3*d^4*e/(d*x + c)^2 - (b*x*e + a*e)^3*b^2*d^5/(d*x + c)^3)","B",0
4,1,1395,0,0.668417," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(B b^{5} c^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 3 \, B a b^{4} c^{2} d i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 3 \, B a^{2} b^{3} c d^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - B a^{3} b^{2} d^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{2 \, {\left(b x e + a e\right)} B b^{4} c^{3} d i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B a b^{3} c^{2} d^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} B a^{2} b^{2} c d^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} B a^{3} b d^{4} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{{\left(b x e + a e\right)}^{2} B b^{3} c^{3} d^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{3 \, {\left(b x e + a e\right)}^{2} B a b^{2} c^{2} d^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{3 \, {\left(b x e + a e\right)}^{2} B a^{2} b c d^{4} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} B a^{3} d^{5} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)} B b^{4} c^{3} d i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} B a b^{3} c^{2} d^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B a^{2} b^{2} c d^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} B a^{3} b d^{4} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{{\left(b x e + a e\right)}^{2} B b^{3} c^{3} d^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{3 \, {\left(b x e + a e\right)}^{2} B a b^{2} c^{2} d^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{3 \, {\left(b x e + a e\right)}^{2} B a^{2} b c d^{4} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x e + a e\right)}^{2} B a^{3} d^{5} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + A b^{5} c^{3} i e^{3} - B b^{5} c^{3} i e^{3} - 3 \, A a b^{4} c^{2} d i e^{3} + 3 \, B a b^{4} c^{2} d i e^{3} + 3 \, A a^{2} b^{3} c d^{2} i e^{3} - 3 \, B a^{2} b^{3} c d^{2} i e^{3} - A a^{3} b^{2} d^{3} i e^{3} + B a^{3} b^{2} d^{3} i e^{3} + \frac{{\left(b x e + a e\right)} B b^{4} c^{3} d i e^{2}}{d x + c} - \frac{3 \, {\left(b x e + a e\right)} B a b^{3} c^{2} d^{2} i e^{2}}{d x + c} + \frac{3 \, {\left(b x e + a e\right)} B a^{2} b^{2} c d^{3} i e^{2}}{d x + c} - \frac{{\left(b x e + a e\right)} B a^{3} b d^{4} i e^{2}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{2 \, {\left(b^{4} d e^{2} - \frac{2 \, {\left(b x e + a e\right)} b^{3} d^{2} e}{d x + c} + \frac{{\left(b x e + a e\right)}^{2} b^{2} d^{3}}{{\left(d x + c\right)}^{2}}\right)}}"," ",0,"1/2*(B*b^5*c^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 3*B*a*b^4*c^2*d*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 3*B*a^2*b^3*c*d^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - B*a^3*b^2*d^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 2*(b*x*e + a*e)*B*b^4*c^3*d*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 6*(b*x*e + a*e)*B*a*b^3*c^2*d^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 6*(b*x*e + a*e)*B*a^2*b^2*c*d^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)*B*a^3*b*d^4*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + (b*x*e + a*e)^2*B*b^3*c^3*d^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 3*(b*x*e + a*e)^2*B*a*b^2*c^2*d^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 3*(b*x*e + a*e)^2*B*a^2*b*c*d^4*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^2*B*a^3*d^5*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 2*(b*x*e + a*e)*B*b^4*c^3*d*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 6*(b*x*e + a*e)*B*a*b^3*c^2*d^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 6*(b*x*e + a*e)*B*a^2*b^2*c*d^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*B*a^3*b*d^4*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - (b*x*e + a*e)^2*B*b^3*c^3*d^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 3*(b*x*e + a*e)^2*B*a*b^2*c^2*d^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 3*(b*x*e + a*e)^2*B*a^2*b*c*d^4*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + (b*x*e + a*e)^2*B*a^3*d^5*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + A*b^5*c^3*i*e^3 - B*b^5*c^3*i*e^3 - 3*A*a*b^4*c^2*d*i*e^3 + 3*B*a*b^4*c^2*d*i*e^3 + 3*A*a^2*b^3*c*d^2*i*e^3 - 3*B*a^2*b^3*c*d^2*i*e^3 - A*a^3*b^2*d^3*i*e^3 + B*a^3*b^2*d^3*i*e^3 + (b*x*e + a*e)*B*b^4*c^3*d*i*e^2/(d*x + c) - 3*(b*x*e + a*e)*B*a*b^3*c^2*d^2*i*e^2/(d*x + c) + 3*(b*x*e + a*e)*B*a^2*b^2*c*d^3*i*e^2/(d*x + c) - (b*x*e + a*e)*B*a^3*b*d^4*i*e^2/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^4*d*e^2 - 2*(b*x*e + a*e)*b^3*d^2*e/(d*x + c) + (b*x*e + a*e)^2*b^2*d^3/(d*x + c)^2)","B",0
5,0,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g),x, algorithm=""giac"")","\int \frac{{\left(d i x + c i\right)} {\left(B \log\left(\frac{{\left(b x + a\right)} e}{d x + c}\right) + A\right)}}{b g x + a g}\,{d x}"," ",0,"integrate((d*i*x + c*i)*(B*log((b*x + a)*e/(d*x + c)) + A)/(b*g*x + a*g), x)","F",0
6,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,1,117,0,1.108428," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^3,x, algorithm=""giac"")","-\frac{{\left(2 \, B i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right) + 2 \, A i e^{3} + B i e^{3}\right)} {\left(d x + c\right)}^{2} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{4 \, {\left(b x e + a e\right)}^{2} g^{3}}"," ",0,"-1/4*(2*B*i*e^3*log((b*x*e + a*e)/(d*x + c)) + 2*A*i*e^3 + B*i*e^3)*(d*x + c)^2*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^2*g^3)","A",0
8,1,244,0,1.455966," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{{\left(12 \, B b i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{18 \, {\left(b x e + a e\right)} B d i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + 12 \, A b i e^{4} + 4 \, B b i e^{4} - \frac{18 \, {\left(b x e + a e\right)} A d i e^{3}}{d x + c} - \frac{9 \, {\left(b x e + a e\right)} B d i e^{3}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{36 \, {\left(\frac{{\left(b x e + a e\right)}^{3} b c g^{4}}{{\left(d x + c\right)}^{3}} - \frac{{\left(b x e + a e\right)}^{3} a d g^{4}}{{\left(d x + c\right)}^{3}}\right)}}"," ",0,"-1/36*(12*B*b*i*e^4*log((b*x*e + a*e)/(d*x + c)) - 18*(b*x*e + a*e)*B*d*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 12*A*b*i*e^4 + 4*B*b*i*e^4 - 18*(b*x*e + a*e)*A*d*i*e^3/(d*x + c) - 9*(b*x*e + a*e)*B*d*i*e^3/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^3*b*c*g^4/(d*x + c)^3 - (b*x*e + a*e)^3*a*d*g^4/(d*x + c)^3)","A",0
9,1,391,0,1.437769," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^5,x, algorithm=""giac"")","-\frac{{\left(36 \, B b^{2} i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{96 \, {\left(b x e + a e\right)} B b d i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{72 \, {\left(b x e + a e\right)}^{2} B d^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + 36 \, A b^{2} i e^{5} + 9 \, B b^{2} i e^{5} - \frac{96 \, {\left(b x e + a e\right)} A b d i e^{4}}{d x + c} - \frac{32 \, {\left(b x e + a e\right)} B b d i e^{4}}{d x + c} + \frac{72 \, {\left(b x e + a e\right)}^{2} A d^{2} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x e + a e\right)}^{2} B d^{2} i e^{3}}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{144 \, {\left(\frac{{\left(b x e + a e\right)}^{4} b^{2} c^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x e + a e\right)}^{4} a b c d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{{\left(b x e + a e\right)}^{4} a^{2} d^{2} g^{5}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"-1/144*(36*B*b^2*i*e^5*log((b*x*e + a*e)/(d*x + c)) - 96*(b*x*e + a*e)*B*b*d*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 72*(b*x*e + a*e)^2*B*d^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 36*A*b^2*i*e^5 + 9*B*b^2*i*e^5 - 96*(b*x*e + a*e)*A*b*d*i*e^4/(d*x + c) - 32*(b*x*e + a*e)*B*b*d*i*e^4/(d*x + c) + 72*(b*x*e + a*e)^2*A*d^2*i*e^3/(d*x + c)^2 + 36*(b*x*e + a*e)^2*B*d^2*i*e^3/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^4*b^2*c^2*g^5/(d*x + c)^4 - 2*(b*x*e + a*e)^4*a*b*c*d*g^5/(d*x + c)^4 + (b*x*e + a*e)^4*a^2*d^2*g^5/(d*x + c)^4)","A",0
10,1,7651,0,1.818894," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(6 \, B b^{13} c^{7} g^{3} e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 42 \, B a b^{12} c^{6} d g^{3} e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 126 \, B a^{2} b^{11} c^{5} d^{2} g^{3} e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 210 \, B a^{3} b^{10} c^{4} d^{3} g^{3} e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 210 \, B a^{4} b^{9} c^{3} d^{4} g^{3} e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 126 \, B a^{5} b^{8} c^{2} d^{5} g^{3} e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 42 \, B a^{6} b^{7} c d^{6} g^{3} e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 6 \, B a^{7} b^{6} d^{7} g^{3} e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{36 \, {\left(b x e + a e\right)} B b^{12} c^{7} d g^{3} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{252 \, {\left(b x e + a e\right)} B a b^{11} c^{6} d^{2} g^{3} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{756 \, {\left(b x e + a e\right)} B a^{2} b^{10} c^{5} d^{3} g^{3} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{1260 \, {\left(b x e + a e\right)} B a^{3} b^{9} c^{4} d^{4} g^{3} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{1260 \, {\left(b x e + a e\right)} B a^{4} b^{8} c^{3} d^{5} g^{3} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{756 \, {\left(b x e + a e\right)} B a^{5} b^{7} c^{2} d^{6} g^{3} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{252 \, {\left(b x e + a e\right)} B a^{6} b^{6} c d^{7} g^{3} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{36 \, {\left(b x e + a e\right)} B a^{7} b^{5} d^{8} g^{3} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{90 \, {\left(b x e + a e\right)}^{2} B b^{11} c^{7} d^{2} g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{630 \, {\left(b x e + a e\right)}^{2} B a b^{10} c^{6} d^{3} g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{1890 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{9} c^{5} d^{4} g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{3150 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{8} c^{4} d^{5} g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{3150 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{7} c^{3} d^{6} g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{1890 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{6} c^{2} d^{7} g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{630 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{5} c d^{8} g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{90 \, {\left(b x e + a e\right)}^{2} B a^{7} b^{4} d^{9} g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{3} B b^{10} c^{7} d^{3} g^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{840 \, {\left(b x e + a e\right)}^{3} B a b^{9} c^{6} d^{4} g^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{2520 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{8} c^{5} d^{5} g^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{4200 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{7} c^{4} d^{6} g^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{4200 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{6} c^{3} d^{7} g^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{2520 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{5} c^{2} d^{8} g^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{840 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{4} c d^{9} g^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x e + a e\right)}^{3} B a^{7} b^{3} d^{10} g^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{90 \, {\left(b x e + a e\right)}^{4} B b^{9} c^{7} d^{4} g^{3} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{630 \, {\left(b x e + a e\right)}^{4} B a b^{8} c^{6} d^{5} g^{3} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{1890 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{7} c^{5} d^{6} g^{3} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{3150 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{6} c^{4} d^{7} g^{3} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{3150 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{5} c^{3} d^{8} g^{3} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{1890 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{4} c^{2} d^{9} g^{3} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{630 \, {\left(b x e + a e\right)}^{4} B a^{6} b^{3} c d^{10} g^{3} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{90 \, {\left(b x e + a e\right)}^{4} B a^{7} b^{2} d^{11} g^{3} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{36 \, {\left(b x e + a e\right)}^{5} B b^{8} c^{7} d^{5} g^{3} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{252 \, {\left(b x e + a e\right)}^{5} B a b^{7} c^{6} d^{6} g^{3} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{756 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{6} c^{5} d^{7} g^{3} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{1260 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{5} c^{4} d^{8} g^{3} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{1260 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{4} c^{3} d^{9} g^{3} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{756 \, {\left(b x e + a e\right)}^{5} B a^{5} b^{3} c^{2} d^{10} g^{3} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{252 \, {\left(b x e + a e\right)}^{5} B a^{6} b^{2} c d^{11} g^{3} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{36 \, {\left(b x e + a e\right)}^{5} B a^{7} b d^{12} g^{3} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{6 \, {\left(b x e + a e\right)}^{6} B b^{7} c^{7} d^{6} g^{3} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{42 \, {\left(b x e + a e\right)}^{6} B a b^{6} c^{6} d^{7} g^{3} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{126 \, {\left(b x e + a e\right)}^{6} B a^{2} b^{5} c^{5} d^{8} g^{3} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{210 \, {\left(b x e + a e\right)}^{6} B a^{3} b^{4} c^{4} d^{9} g^{3} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{210 \, {\left(b x e + a e\right)}^{6} B a^{4} b^{3} c^{3} d^{10} g^{3} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{126 \, {\left(b x e + a e\right)}^{6} B a^{5} b^{2} c^{2} d^{11} g^{3} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{42 \, {\left(b x e + a e\right)}^{6} B a^{6} b c d^{12} g^{3} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{6 \, {\left(b x e + a e\right)}^{6} B a^{7} d^{13} g^{3} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{90 \, {\left(b x e + a e\right)}^{4} B b^{9} c^{7} d^{4} g^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{630 \, {\left(b x e + a e\right)}^{4} B a b^{8} c^{6} d^{5} g^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{1890 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{7} c^{5} d^{6} g^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{3150 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{6} c^{4} d^{7} g^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{3150 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{5} c^{3} d^{8} g^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{1890 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{4} c^{2} d^{9} g^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{630 \, {\left(b x e + a e\right)}^{4} B a^{6} b^{3} c d^{10} g^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{90 \, {\left(b x e + a e\right)}^{4} B a^{7} b^{2} d^{11} g^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{36 \, {\left(b x e + a e\right)}^{5} B b^{8} c^{7} d^{5} g^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{252 \, {\left(b x e + a e\right)}^{5} B a b^{7} c^{6} d^{6} g^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{756 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{6} c^{5} d^{7} g^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{1260 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{5} c^{4} d^{8} g^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{1260 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{4} c^{3} d^{9} g^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{756 \, {\left(b x e + a e\right)}^{5} B a^{5} b^{3} c^{2} d^{10} g^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{252 \, {\left(b x e + a e\right)}^{5} B a^{6} b^{2} c d^{11} g^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{36 \, {\left(b x e + a e\right)}^{5} B a^{7} b d^{12} g^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{6 \, {\left(b x e + a e\right)}^{6} B b^{7} c^{7} d^{6} g^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{42 \, {\left(b x e + a e\right)}^{6} B a b^{6} c^{6} d^{7} g^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{126 \, {\left(b x e + a e\right)}^{6} B a^{2} b^{5} c^{5} d^{8} g^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{210 \, {\left(b x e + a e\right)}^{6} B a^{3} b^{4} c^{4} d^{9} g^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{210 \, {\left(b x e + a e\right)}^{6} B a^{4} b^{3} c^{3} d^{10} g^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{126 \, {\left(b x e + a e\right)}^{6} B a^{5} b^{2} c^{2} d^{11} g^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{42 \, {\left(b x e + a e\right)}^{6} B a^{6} b c d^{12} g^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{6 \, {\left(b x e + a e\right)}^{6} B a^{7} d^{13} g^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + 6 \, A b^{13} c^{7} g^{3} e^{7} + 2 \, B b^{13} c^{7} g^{3} e^{7} - 42 \, A a b^{12} c^{6} d g^{3} e^{7} - 14 \, B a b^{12} c^{6} d g^{3} e^{7} + 126 \, A a^{2} b^{11} c^{5} d^{2} g^{3} e^{7} + 42 \, B a^{2} b^{11} c^{5} d^{2} g^{3} e^{7} - 210 \, A a^{3} b^{10} c^{4} d^{3} g^{3} e^{7} - 70 \, B a^{3} b^{10} c^{4} d^{3} g^{3} e^{7} + 210 \, A a^{4} b^{9} c^{3} d^{4} g^{3} e^{7} + 70 \, B a^{4} b^{9} c^{3} d^{4} g^{3} e^{7} - 126 \, A a^{5} b^{8} c^{2} d^{5} g^{3} e^{7} - 42 \, B a^{5} b^{8} c^{2} d^{5} g^{3} e^{7} + 42 \, A a^{6} b^{7} c d^{6} g^{3} e^{7} + 14 \, B a^{6} b^{7} c d^{6} g^{3} e^{7} - 6 \, A a^{7} b^{6} d^{7} g^{3} e^{7} - 2 \, B a^{7} b^{6} d^{7} g^{3} e^{7} - \frac{36 \, {\left(b x e + a e\right)} A b^{12} c^{7} d g^{3} e^{6}}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} B b^{12} c^{7} d g^{3} e^{6}}{d x + c} + \frac{252 \, {\left(b x e + a e\right)} A a b^{11} c^{6} d^{2} g^{3} e^{6}}{d x + c} + \frac{42 \, {\left(b x e + a e\right)} B a b^{11} c^{6} d^{2} g^{3} e^{6}}{d x + c} - \frac{756 \, {\left(b x e + a e\right)} A a^{2} b^{10} c^{5} d^{3} g^{3} e^{6}}{d x + c} - \frac{126 \, {\left(b x e + a e\right)} B a^{2} b^{10} c^{5} d^{3} g^{3} e^{6}}{d x + c} + \frac{1260 \, {\left(b x e + a e\right)} A a^{3} b^{9} c^{4} d^{4} g^{3} e^{6}}{d x + c} + \frac{210 \, {\left(b x e + a e\right)} B a^{3} b^{9} c^{4} d^{4} g^{3} e^{6}}{d x + c} - \frac{1260 \, {\left(b x e + a e\right)} A a^{4} b^{8} c^{3} d^{5} g^{3} e^{6}}{d x + c} - \frac{210 \, {\left(b x e + a e\right)} B a^{4} b^{8} c^{3} d^{5} g^{3} e^{6}}{d x + c} + \frac{756 \, {\left(b x e + a e\right)} A a^{5} b^{7} c^{2} d^{6} g^{3} e^{6}}{d x + c} + \frac{126 \, {\left(b x e + a e\right)} B a^{5} b^{7} c^{2} d^{6} g^{3} e^{6}}{d x + c} - \frac{252 \, {\left(b x e + a e\right)} A a^{6} b^{6} c d^{7} g^{3} e^{6}}{d x + c} - \frac{42 \, {\left(b x e + a e\right)} B a^{6} b^{6} c d^{7} g^{3} e^{6}}{d x + c} + \frac{36 \, {\left(b x e + a e\right)} A a^{7} b^{5} d^{8} g^{3} e^{6}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B a^{7} b^{5} d^{8} g^{3} e^{6}}{d x + c} + \frac{90 \, {\left(b x e + a e\right)}^{2} A b^{11} c^{7} d^{2} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} - \frac{3 \, {\left(b x e + a e\right)}^{2} B b^{11} c^{7} d^{2} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} - \frac{630 \, {\left(b x e + a e\right)}^{2} A a b^{10} c^{6} d^{3} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} + \frac{21 \, {\left(b x e + a e\right)}^{2} B a b^{10} c^{6} d^{3} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} + \frac{1890 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{9} c^{5} d^{4} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} - \frac{63 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{9} c^{5} d^{4} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} - \frac{3150 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{8} c^{4} d^{5} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} + \frac{105 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{8} c^{4} d^{5} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} + \frac{3150 \, {\left(b x e + a e\right)}^{2} A a^{4} b^{7} c^{3} d^{6} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} - \frac{105 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{7} c^{3} d^{6} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} - \frac{1890 \, {\left(b x e + a e\right)}^{2} A a^{5} b^{6} c^{2} d^{7} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} + \frac{63 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{6} c^{2} d^{7} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} + \frac{630 \, {\left(b x e + a e\right)}^{2} A a^{6} b^{5} c d^{8} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} - \frac{21 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{5} c d^{8} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} - \frac{90 \, {\left(b x e + a e\right)}^{2} A a^{7} b^{4} d^{9} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} + \frac{3 \, {\left(b x e + a e\right)}^{2} B a^{7} b^{4} d^{9} g^{3} e^{5}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{3} A b^{10} c^{7} d^{3} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} + \frac{34 \, {\left(b x e + a e\right)}^{3} B b^{10} c^{7} d^{3} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} + \frac{840 \, {\left(b x e + a e\right)}^{3} A a b^{9} c^{6} d^{4} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} - \frac{238 \, {\left(b x e + a e\right)}^{3} B a b^{9} c^{6} d^{4} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} - \frac{2520 \, {\left(b x e + a e\right)}^{3} A a^{2} b^{8} c^{5} d^{5} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} + \frac{714 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{8} c^{5} d^{5} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} + \frac{4200 \, {\left(b x e + a e\right)}^{3} A a^{3} b^{7} c^{4} d^{6} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} - \frac{1190 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{7} c^{4} d^{6} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} - \frac{4200 \, {\left(b x e + a e\right)}^{3} A a^{4} b^{6} c^{3} d^{7} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} + \frac{1190 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{6} c^{3} d^{7} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} + \frac{2520 \, {\left(b x e + a e\right)}^{3} A a^{5} b^{5} c^{2} d^{8} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} - \frac{714 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{5} c^{2} d^{8} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} - \frac{840 \, {\left(b x e + a e\right)}^{3} A a^{6} b^{4} c d^{9} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} + \frac{238 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{4} c d^{9} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x e + a e\right)}^{3} A a^{7} b^{3} d^{10} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} - \frac{34 \, {\left(b x e + a e\right)}^{3} B a^{7} b^{3} d^{10} g^{3} e^{4}}{{\left(d x + c\right)}^{3}} - \frac{33 \, {\left(b x e + a e\right)}^{4} B b^{9} c^{7} d^{4} g^{3} e^{3}}{{\left(d x + c\right)}^{4}} + \frac{231 \, {\left(b x e + a e\right)}^{4} B a b^{8} c^{6} d^{5} g^{3} e^{3}}{{\left(d x + c\right)}^{4}} - \frac{693 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{7} c^{5} d^{6} g^{3} e^{3}}{{\left(d x + c\right)}^{4}} + \frac{1155 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{6} c^{4} d^{7} g^{3} e^{3}}{{\left(d x + c\right)}^{4}} - \frac{1155 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{5} c^{3} d^{8} g^{3} e^{3}}{{\left(d x + c\right)}^{4}} + \frac{693 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{4} c^{2} d^{9} g^{3} e^{3}}{{\left(d x + c\right)}^{4}} - \frac{231 \, {\left(b x e + a e\right)}^{4} B a^{6} b^{3} c d^{10} g^{3} e^{3}}{{\left(d x + c\right)}^{4}} + \frac{33 \, {\left(b x e + a e\right)}^{4} B a^{7} b^{2} d^{11} g^{3} e^{3}}{{\left(d x + c\right)}^{4}} + \frac{6 \, {\left(b x e + a e\right)}^{5} B b^{8} c^{7} d^{5} g^{3} e^{2}}{{\left(d x + c\right)}^{5}} - \frac{42 \, {\left(b x e + a e\right)}^{5} B a b^{7} c^{6} d^{6} g^{3} e^{2}}{{\left(d x + c\right)}^{5}} + \frac{126 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{6} c^{5} d^{7} g^{3} e^{2}}{{\left(d x + c\right)}^{5}} - \frac{210 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{5} c^{4} d^{8} g^{3} e^{2}}{{\left(d x + c\right)}^{5}} + \frac{210 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{4} c^{3} d^{9} g^{3} e^{2}}{{\left(d x + c\right)}^{5}} - \frac{126 \, {\left(b x e + a e\right)}^{5} B a^{5} b^{3} c^{2} d^{10} g^{3} e^{2}}{{\left(d x + c\right)}^{5}} + \frac{42 \, {\left(b x e + a e\right)}^{5} B a^{6} b^{2} c d^{11} g^{3} e^{2}}{{\left(d x + c\right)}^{5}} - \frac{6 \, {\left(b x e + a e\right)}^{5} B a^{7} b d^{12} g^{3} e^{2}}{{\left(d x + c\right)}^{5}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{360 \, {\left(b^{9} d^{4} e^{6} - \frac{6 \, {\left(b x e + a e\right)} b^{8} d^{5} e^{5}}{d x + c} + \frac{15 \, {\left(b x e + a e\right)}^{2} b^{7} d^{6} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x e + a e\right)}^{3} b^{6} d^{7} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{15 \, {\left(b x e + a e\right)}^{4} b^{5} d^{8} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{5} b^{4} d^{9} e}{{\left(d x + c\right)}^{5}} + \frac{{\left(b x e + a e\right)}^{6} b^{3} d^{10}}{{\left(d x + c\right)}^{6}}\right)}}"," ",0,"1/360*(6*B*b^13*c^7*g^3*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 42*B*a*b^12*c^6*d*g^3*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 126*B*a^2*b^11*c^5*d^2*g^3*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 210*B*a^3*b^10*c^4*d^3*g^3*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 210*B*a^4*b^9*c^3*d^4*g^3*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 126*B*a^5*b^8*c^2*d^5*g^3*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 42*B*a^6*b^7*c*d^6*g^3*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 6*B*a^7*b^6*d^7*g^3*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 36*(b*x*e + a*e)*B*b^12*c^7*d*g^3*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 252*(b*x*e + a*e)*B*a*b^11*c^6*d^2*g^3*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 756*(b*x*e + a*e)*B*a^2*b^10*c^5*d^3*g^3*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 1260*(b*x*e + a*e)*B*a^3*b^9*c^4*d^4*g^3*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 1260*(b*x*e + a*e)*B*a^4*b^8*c^3*d^5*g^3*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 756*(b*x*e + a*e)*B*a^5*b^7*c^2*d^6*g^3*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 252*(b*x*e + a*e)*B*a^6*b^6*c*d^7*g^3*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 36*(b*x*e + a*e)*B*a^7*b^5*d^8*g^3*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 90*(b*x*e + a*e)^2*B*b^11*c^7*d^2*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 630*(b*x*e + a*e)^2*B*a*b^10*c^6*d^3*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 1890*(b*x*e + a*e)^2*B*a^2*b^9*c^5*d^4*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 3150*(b*x*e + a*e)^2*B*a^3*b^8*c^4*d^5*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 3150*(b*x*e + a*e)^2*B*a^4*b^7*c^3*d^6*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 1890*(b*x*e + a*e)^2*B*a^5*b^6*c^2*d^7*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 630*(b*x*e + a*e)^2*B*a^6*b^5*c*d^8*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 90*(b*x*e + a*e)^2*B*a^7*b^4*d^9*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 120*(b*x*e + a*e)^3*B*b^10*c^7*d^3*g^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 840*(b*x*e + a*e)^3*B*a*b^9*c^6*d^4*g^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 2520*(b*x*e + a*e)^3*B*a^2*b^8*c^5*d^5*g^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 4200*(b*x*e + a*e)^3*B*a^3*b^7*c^4*d^6*g^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 4200*(b*x*e + a*e)^3*B*a^4*b^6*c^3*d^7*g^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 2520*(b*x*e + a*e)^3*B*a^5*b^5*c^2*d^8*g^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 840*(b*x*e + a*e)^3*B*a^6*b^4*c*d^9*g^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 120*(b*x*e + a*e)^3*B*a^7*b^3*d^10*g^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 90*(b*x*e + a*e)^4*B*b^9*c^7*d^4*g^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 630*(b*x*e + a*e)^4*B*a*b^8*c^6*d^5*g^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 1890*(b*x*e + a*e)^4*B*a^2*b^7*c^5*d^6*g^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 3150*(b*x*e + a*e)^4*B*a^3*b^6*c^4*d^7*g^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 3150*(b*x*e + a*e)^4*B*a^4*b^5*c^3*d^8*g^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 1890*(b*x*e + a*e)^4*B*a^5*b^4*c^2*d^9*g^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 630*(b*x*e + a*e)^4*B*a^6*b^3*c*d^10*g^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 90*(b*x*e + a*e)^4*B*a^7*b^2*d^11*g^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 36*(b*x*e + a*e)^5*B*b^8*c^7*d^5*g^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 252*(b*x*e + a*e)^5*B*a*b^7*c^6*d^6*g^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 756*(b*x*e + a*e)^5*B*a^2*b^6*c^5*d^7*g^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 1260*(b*x*e + a*e)^5*B*a^3*b^5*c^4*d^8*g^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 1260*(b*x*e + a*e)^5*B*a^4*b^4*c^3*d^9*g^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 756*(b*x*e + a*e)^5*B*a^5*b^3*c^2*d^10*g^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 252*(b*x*e + a*e)^5*B*a^6*b^2*c*d^11*g^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 36*(b*x*e + a*e)^5*B*a^7*b*d^12*g^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 6*(b*x*e + a*e)^6*B*b^7*c^7*d^6*g^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 42*(b*x*e + a*e)^6*B*a*b^6*c^6*d^7*g^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 126*(b*x*e + a*e)^6*B*a^2*b^5*c^5*d^8*g^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 210*(b*x*e + a*e)^6*B*a^3*b^4*c^4*d^9*g^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 210*(b*x*e + a*e)^6*B*a^4*b^3*c^3*d^10*g^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 126*(b*x*e + a*e)^6*B*a^5*b^2*c^2*d^11*g^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 42*(b*x*e + a*e)^6*B*a^6*b*c*d^12*g^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 6*(b*x*e + a*e)^6*B*a^7*d^13*g^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 90*(b*x*e + a*e)^4*B*b^9*c^7*d^4*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 630*(b*x*e + a*e)^4*B*a*b^8*c^6*d^5*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 1890*(b*x*e + a*e)^4*B*a^2*b^7*c^5*d^6*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 3150*(b*x*e + a*e)^4*B*a^3*b^6*c^4*d^7*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 3150*(b*x*e + a*e)^4*B*a^4*b^5*c^3*d^8*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 1890*(b*x*e + a*e)^4*B*a^5*b^4*c^2*d^9*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 630*(b*x*e + a*e)^4*B*a^6*b^3*c*d^10*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 90*(b*x*e + a*e)^4*B*a^7*b^2*d^11*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 36*(b*x*e + a*e)^5*B*b^8*c^7*d^5*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 252*(b*x*e + a*e)^5*B*a*b^7*c^6*d^6*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 756*(b*x*e + a*e)^5*B*a^2*b^6*c^5*d^7*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 1260*(b*x*e + a*e)^5*B*a^3*b^5*c^4*d^8*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 1260*(b*x*e + a*e)^5*B*a^4*b^4*c^3*d^9*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 756*(b*x*e + a*e)^5*B*a^5*b^3*c^2*d^10*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 252*(b*x*e + a*e)^5*B*a^6*b^2*c*d^11*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 36*(b*x*e + a*e)^5*B*a^7*b*d^12*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 6*(b*x*e + a*e)^6*B*b^7*c^7*d^6*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 42*(b*x*e + a*e)^6*B*a*b^6*c^6*d^7*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 - 126*(b*x*e + a*e)^6*B*a^2*b^5*c^5*d^8*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 210*(b*x*e + a*e)^6*B*a^3*b^4*c^4*d^9*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 - 210*(b*x*e + a*e)^6*B*a^4*b^3*c^3*d^10*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 126*(b*x*e + a*e)^6*B*a^5*b^2*c^2*d^11*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 - 42*(b*x*e + a*e)^6*B*a^6*b*c*d^12*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 6*(b*x*e + a*e)^6*B*a^7*d^13*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 6*A*b^13*c^7*g^3*e^7 + 2*B*b^13*c^7*g^3*e^7 - 42*A*a*b^12*c^6*d*g^3*e^7 - 14*B*a*b^12*c^6*d*g^3*e^7 + 126*A*a^2*b^11*c^5*d^2*g^3*e^7 + 42*B*a^2*b^11*c^5*d^2*g^3*e^7 - 210*A*a^3*b^10*c^4*d^3*g^3*e^7 - 70*B*a^3*b^10*c^4*d^3*g^3*e^7 + 210*A*a^4*b^9*c^3*d^4*g^3*e^7 + 70*B*a^4*b^9*c^3*d^4*g^3*e^7 - 126*A*a^5*b^8*c^2*d^5*g^3*e^7 - 42*B*a^5*b^8*c^2*d^5*g^3*e^7 + 42*A*a^6*b^7*c*d^6*g^3*e^7 + 14*B*a^6*b^7*c*d^6*g^3*e^7 - 6*A*a^7*b^6*d^7*g^3*e^7 - 2*B*a^7*b^6*d^7*g^3*e^7 - 36*(b*x*e + a*e)*A*b^12*c^7*d*g^3*e^6/(d*x + c) - 6*(b*x*e + a*e)*B*b^12*c^7*d*g^3*e^6/(d*x + c) + 252*(b*x*e + a*e)*A*a*b^11*c^6*d^2*g^3*e^6/(d*x + c) + 42*(b*x*e + a*e)*B*a*b^11*c^6*d^2*g^3*e^6/(d*x + c) - 756*(b*x*e + a*e)*A*a^2*b^10*c^5*d^3*g^3*e^6/(d*x + c) - 126*(b*x*e + a*e)*B*a^2*b^10*c^5*d^3*g^3*e^6/(d*x + c) + 1260*(b*x*e + a*e)*A*a^3*b^9*c^4*d^4*g^3*e^6/(d*x + c) + 210*(b*x*e + a*e)*B*a^3*b^9*c^4*d^4*g^3*e^6/(d*x + c) - 1260*(b*x*e + a*e)*A*a^4*b^8*c^3*d^5*g^3*e^6/(d*x + c) - 210*(b*x*e + a*e)*B*a^4*b^8*c^3*d^5*g^3*e^6/(d*x + c) + 756*(b*x*e + a*e)*A*a^5*b^7*c^2*d^6*g^3*e^6/(d*x + c) + 126*(b*x*e + a*e)*B*a^5*b^7*c^2*d^6*g^3*e^6/(d*x + c) - 252*(b*x*e + a*e)*A*a^6*b^6*c*d^7*g^3*e^6/(d*x + c) - 42*(b*x*e + a*e)*B*a^6*b^6*c*d^7*g^3*e^6/(d*x + c) + 36*(b*x*e + a*e)*A*a^7*b^5*d^8*g^3*e^6/(d*x + c) + 6*(b*x*e + a*e)*B*a^7*b^5*d^8*g^3*e^6/(d*x + c) + 90*(b*x*e + a*e)^2*A*b^11*c^7*d^2*g^3*e^5/(d*x + c)^2 - 3*(b*x*e + a*e)^2*B*b^11*c^7*d^2*g^3*e^5/(d*x + c)^2 - 630*(b*x*e + a*e)^2*A*a*b^10*c^6*d^3*g^3*e^5/(d*x + c)^2 + 21*(b*x*e + a*e)^2*B*a*b^10*c^6*d^3*g^3*e^5/(d*x + c)^2 + 1890*(b*x*e + a*e)^2*A*a^2*b^9*c^5*d^4*g^3*e^5/(d*x + c)^2 - 63*(b*x*e + a*e)^2*B*a^2*b^9*c^5*d^4*g^3*e^5/(d*x + c)^2 - 3150*(b*x*e + a*e)^2*A*a^3*b^8*c^4*d^5*g^3*e^5/(d*x + c)^2 + 105*(b*x*e + a*e)^2*B*a^3*b^8*c^4*d^5*g^3*e^5/(d*x + c)^2 + 3150*(b*x*e + a*e)^2*A*a^4*b^7*c^3*d^6*g^3*e^5/(d*x + c)^2 - 105*(b*x*e + a*e)^2*B*a^4*b^7*c^3*d^6*g^3*e^5/(d*x + c)^2 - 1890*(b*x*e + a*e)^2*A*a^5*b^6*c^2*d^7*g^3*e^5/(d*x + c)^2 + 63*(b*x*e + a*e)^2*B*a^5*b^6*c^2*d^7*g^3*e^5/(d*x + c)^2 + 630*(b*x*e + a*e)^2*A*a^6*b^5*c*d^8*g^3*e^5/(d*x + c)^2 - 21*(b*x*e + a*e)^2*B*a^6*b^5*c*d^8*g^3*e^5/(d*x + c)^2 - 90*(b*x*e + a*e)^2*A*a^7*b^4*d^9*g^3*e^5/(d*x + c)^2 + 3*(b*x*e + a*e)^2*B*a^7*b^4*d^9*g^3*e^5/(d*x + c)^2 - 120*(b*x*e + a*e)^3*A*b^10*c^7*d^3*g^3*e^4/(d*x + c)^3 + 34*(b*x*e + a*e)^3*B*b^10*c^7*d^3*g^3*e^4/(d*x + c)^3 + 840*(b*x*e + a*e)^3*A*a*b^9*c^6*d^4*g^3*e^4/(d*x + c)^3 - 238*(b*x*e + a*e)^3*B*a*b^9*c^6*d^4*g^3*e^4/(d*x + c)^3 - 2520*(b*x*e + a*e)^3*A*a^2*b^8*c^5*d^5*g^3*e^4/(d*x + c)^3 + 714*(b*x*e + a*e)^3*B*a^2*b^8*c^5*d^5*g^3*e^4/(d*x + c)^3 + 4200*(b*x*e + a*e)^3*A*a^3*b^7*c^4*d^6*g^3*e^4/(d*x + c)^3 - 1190*(b*x*e + a*e)^3*B*a^3*b^7*c^4*d^6*g^3*e^4/(d*x + c)^3 - 4200*(b*x*e + a*e)^3*A*a^4*b^6*c^3*d^7*g^3*e^4/(d*x + c)^3 + 1190*(b*x*e + a*e)^3*B*a^4*b^6*c^3*d^7*g^3*e^4/(d*x + c)^3 + 2520*(b*x*e + a*e)^3*A*a^5*b^5*c^2*d^8*g^3*e^4/(d*x + c)^3 - 714*(b*x*e + a*e)^3*B*a^5*b^5*c^2*d^8*g^3*e^4/(d*x + c)^3 - 840*(b*x*e + a*e)^3*A*a^6*b^4*c*d^9*g^3*e^4/(d*x + c)^3 + 238*(b*x*e + a*e)^3*B*a^6*b^4*c*d^9*g^3*e^4/(d*x + c)^3 + 120*(b*x*e + a*e)^3*A*a^7*b^3*d^10*g^3*e^4/(d*x + c)^3 - 34*(b*x*e + a*e)^3*B*a^7*b^3*d^10*g^3*e^4/(d*x + c)^3 - 33*(b*x*e + a*e)^4*B*b^9*c^7*d^4*g^3*e^3/(d*x + c)^4 + 231*(b*x*e + a*e)^4*B*a*b^8*c^6*d^5*g^3*e^3/(d*x + c)^4 - 693*(b*x*e + a*e)^4*B*a^2*b^7*c^5*d^6*g^3*e^3/(d*x + c)^4 + 1155*(b*x*e + a*e)^4*B*a^3*b^6*c^4*d^7*g^3*e^3/(d*x + c)^4 - 1155*(b*x*e + a*e)^4*B*a^4*b^5*c^3*d^8*g^3*e^3/(d*x + c)^4 + 693*(b*x*e + a*e)^4*B*a^5*b^4*c^2*d^9*g^3*e^3/(d*x + c)^4 - 231*(b*x*e + a*e)^4*B*a^6*b^3*c*d^10*g^3*e^3/(d*x + c)^4 + 33*(b*x*e + a*e)^4*B*a^7*b^2*d^11*g^3*e^3/(d*x + c)^4 + 6*(b*x*e + a*e)^5*B*b^8*c^7*d^5*g^3*e^2/(d*x + c)^5 - 42*(b*x*e + a*e)^5*B*a*b^7*c^6*d^6*g^3*e^2/(d*x + c)^5 + 126*(b*x*e + a*e)^5*B*a^2*b^6*c^5*d^7*g^3*e^2/(d*x + c)^5 - 210*(b*x*e + a*e)^5*B*a^3*b^5*c^4*d^8*g^3*e^2/(d*x + c)^5 + 210*(b*x*e + a*e)^5*B*a^4*b^4*c^3*d^9*g^3*e^2/(d*x + c)^5 - 126*(b*x*e + a*e)^5*B*a^5*b^3*c^2*d^10*g^3*e^2/(d*x + c)^5 + 42*(b*x*e + a*e)^5*B*a^6*b^2*c*d^11*g^3*e^2/(d*x + c)^5 - 6*(b*x*e + a*e)^5*B*a^7*b*d^12*g^3*e^2/(d*x + c)^5)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^9*d^4*e^6 - 6*(b*x*e + a*e)*b^8*d^5*e^5/(d*x + c) + 15*(b*x*e + a*e)^2*b^7*d^6*e^4/(d*x + c)^2 - 20*(b*x*e + a*e)^3*b^6*d^7*e^3/(d*x + c)^3 + 15*(b*x*e + a*e)^4*b^5*d^8*e^2/(d*x + c)^4 - 6*(b*x*e + a*e)^5*b^4*d^9*e/(d*x + c)^5 + (b*x*e + a*e)^6*b^3*d^10/(d*x + c)^6)","B",0
11,1,5571,0,1.362355," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","-\frac{{\left(2 \, B b^{11} c^{6} g^{2} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 12 \, B a b^{10} c^{5} d g^{2} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 30 \, B a^{2} b^{9} c^{4} d^{2} g^{2} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 40 \, B a^{3} b^{8} c^{3} d^{3} g^{2} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 30 \, B a^{4} b^{7} c^{2} d^{4} g^{2} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 12 \, B a^{5} b^{6} c d^{5} g^{2} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 2 \, B a^{6} b^{5} d^{6} g^{2} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{10 \, {\left(b x e + a e\right)} B b^{10} c^{6} d g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{60 \, {\left(b x e + a e\right)} B a b^{9} c^{5} d^{2} g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{150 \, {\left(b x e + a e\right)} B a^{2} b^{8} c^{4} d^{3} g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{200 \, {\left(b x e + a e\right)} B a^{3} b^{7} c^{3} d^{4} g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{150 \, {\left(b x e + a e\right)} B a^{4} b^{6} c^{2} d^{5} g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{60 \, {\left(b x e + a e\right)} B a^{5} b^{5} c d^{6} g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{10 \, {\left(b x e + a e\right)} B a^{6} b^{4} d^{7} g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{20 \, {\left(b x e + a e\right)}^{2} B b^{9} c^{6} d^{2} g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{2} B a b^{8} c^{5} d^{3} g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{300 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{7} c^{4} d^{4} g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{400 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{6} c^{3} d^{5} g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{300 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{5} c^{2} d^{6} g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{4} c d^{7} g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{3} d^{8} g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x e + a e\right)}^{3} B b^{8} c^{6} d^{3} g^{2} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x e + a e\right)}^{3} B a b^{7} c^{5} d^{4} g^{2} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{300 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{6} c^{4} d^{5} g^{2} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{400 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{5} c^{3} d^{6} g^{2} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{300 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{4} c^{2} d^{7} g^{2} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{3} c d^{8} g^{2} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{20 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{2} d^{9} g^{2} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{10 \, {\left(b x e + a e\right)}^{4} B b^{7} c^{6} d^{4} g^{2} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g^{2} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{150 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g^{2} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{200 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g^{2} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{150 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g^{2} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g^{2} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{10 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g^{2} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x e + a e\right)}^{5} B b^{6} c^{6} d^{5} g^{2} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{12 \, {\left(b x e + a e\right)}^{5} B a b^{5} c^{5} d^{6} g^{2} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{30 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{4} c^{4} d^{7} g^{2} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{40 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{3} c^{3} d^{8} g^{2} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{30 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{2} c^{2} d^{9} g^{2} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{12 \, {\left(b x e + a e\right)}^{5} B a^{5} b c d^{10} g^{2} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{2 \, {\left(b x e + a e\right)}^{5} B a^{6} d^{11} g^{2} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{20 \, {\left(b x e + a e\right)}^{3} B b^{8} c^{6} d^{3} g^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x e + a e\right)}^{3} B a b^{7} c^{5} d^{4} g^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{300 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{6} c^{4} d^{5} g^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{400 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{5} c^{3} d^{6} g^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{300 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{4} c^{2} d^{7} g^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{3} c d^{8} g^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{20 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{2} d^{9} g^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{10 \, {\left(b x e + a e\right)}^{4} B b^{7} c^{6} d^{4} g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{60 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{150 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{200 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{150 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{60 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{10 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{2 \, {\left(b x e + a e\right)}^{5} B b^{6} c^{6} d^{5} g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{12 \, {\left(b x e + a e\right)}^{5} B a b^{5} c^{5} d^{6} g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{30 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{4} c^{4} d^{7} g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{40 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{3} c^{3} d^{8} g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{30 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{2} c^{2} d^{9} g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{12 \, {\left(b x e + a e\right)}^{5} B a^{5} b c d^{10} g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{2 \, {\left(b x e + a e\right)}^{5} B a^{6} d^{11} g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + 2 \, A b^{11} c^{6} g^{2} e^{6} - 12 \, A a b^{10} c^{5} d g^{2} e^{6} + 30 \, A a^{2} b^{9} c^{4} d^{2} g^{2} e^{6} - 40 \, A a^{3} b^{8} c^{3} d^{3} g^{2} e^{6} + 30 \, A a^{4} b^{7} c^{2} d^{4} g^{2} e^{6} - 12 \, A a^{5} b^{6} c d^{5} g^{2} e^{6} + 2 \, A a^{6} b^{5} d^{6} g^{2} e^{6} - \frac{10 \, {\left(b x e + a e\right)} A b^{10} c^{6} d g^{2} e^{5}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} B b^{10} c^{6} d g^{2} e^{5}}{d x + c} + \frac{60 \, {\left(b x e + a e\right)} A a b^{9} c^{5} d^{2} g^{2} e^{5}}{d x + c} - \frac{12 \, {\left(b x e + a e\right)} B a b^{9} c^{5} d^{2} g^{2} e^{5}}{d x + c} - \frac{150 \, {\left(b x e + a e\right)} A a^{2} b^{8} c^{4} d^{3} g^{2} e^{5}}{d x + c} + \frac{30 \, {\left(b x e + a e\right)} B a^{2} b^{8} c^{4} d^{3} g^{2} e^{5}}{d x + c} + \frac{200 \, {\left(b x e + a e\right)} A a^{3} b^{7} c^{3} d^{4} g^{2} e^{5}}{d x + c} - \frac{40 \, {\left(b x e + a e\right)} B a^{3} b^{7} c^{3} d^{4} g^{2} e^{5}}{d x + c} - \frac{150 \, {\left(b x e + a e\right)} A a^{4} b^{6} c^{2} d^{5} g^{2} e^{5}}{d x + c} + \frac{30 \, {\left(b x e + a e\right)} B a^{4} b^{6} c^{2} d^{5} g^{2} e^{5}}{d x + c} + \frac{60 \, {\left(b x e + a e\right)} A a^{5} b^{5} c d^{6} g^{2} e^{5}}{d x + c} - \frac{12 \, {\left(b x e + a e\right)} B a^{5} b^{5} c d^{6} g^{2} e^{5}}{d x + c} - \frac{10 \, {\left(b x e + a e\right)} A a^{6} b^{4} d^{7} g^{2} e^{5}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} B a^{6} b^{4} d^{7} g^{2} e^{5}}{d x + c} + \frac{20 \, {\left(b x e + a e\right)}^{2} A b^{9} c^{6} d^{2} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{9 \, {\left(b x e + a e\right)}^{2} B b^{9} c^{6} d^{2} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{2} A a b^{8} c^{5} d^{3} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{54 \, {\left(b x e + a e\right)}^{2} B a b^{8} c^{5} d^{3} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{300 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{7} c^{4} d^{4} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{135 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{7} c^{4} d^{4} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{400 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{6} c^{3} d^{5} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{180 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{6} c^{3} d^{5} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{300 \, {\left(b x e + a e\right)}^{2} A a^{4} b^{5} c^{2} d^{6} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{135 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{5} c^{2} d^{6} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{2} A a^{5} b^{4} c d^{7} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{54 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{4} c d^{7} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x e + a e\right)}^{2} A a^{6} b^{3} d^{8} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{9 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{3} d^{8} g^{2} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{9 \, {\left(b x e + a e\right)}^{3} B b^{8} c^{6} d^{3} g^{2} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{54 \, {\left(b x e + a e\right)}^{3} B a b^{7} c^{5} d^{4} g^{2} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{135 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{6} c^{4} d^{5} g^{2} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{180 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{5} c^{3} d^{6} g^{2} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{135 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{4} c^{2} d^{7} g^{2} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{54 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{3} c d^{8} g^{2} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{9 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{2} d^{9} g^{2} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x e + a e\right)}^{4} B b^{7} c^{6} d^{4} g^{2} e^{2}}{{\left(d x + c\right)}^{4}} + \frac{12 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g^{2} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{30 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g^{2} e^{2}}{{\left(d x + c\right)}^{4}} + \frac{40 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g^{2} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{30 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g^{2} e^{2}}{{\left(d x + c\right)}^{4}} + \frac{12 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g^{2} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g^{2} e^{2}}{{\left(d x + c\right)}^{4}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{60 \, {\left(b^{8} d^{3} e^{5} - \frac{5 \, {\left(b x e + a e\right)} b^{7} d^{4} e^{4}}{d x + c} + \frac{10 \, {\left(b x e + a e\right)}^{2} b^{6} d^{5} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x e + a e\right)}^{3} b^{5} d^{6} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x e + a e\right)}^{4} b^{4} d^{7} e}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x e + a e\right)}^{5} b^{3} d^{8}}{{\left(d x + c\right)}^{5}}\right)}}"," ",0,"-1/60*(2*B*b^11*c^6*g^2*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 12*B*a*b^10*c^5*d*g^2*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 30*B*a^2*b^9*c^4*d^2*g^2*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 40*B*a^3*b^8*c^3*d^3*g^2*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 30*B*a^4*b^7*c^2*d^4*g^2*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 12*B*a^5*b^6*c*d^5*g^2*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 2*B*a^6*b^5*d^6*g^2*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 10*(b*x*e + a*e)*B*b^10*c^6*d*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 60*(b*x*e + a*e)*B*a*b^9*c^5*d^2*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 150*(b*x*e + a*e)*B*a^2*b^8*c^4*d^3*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 200*(b*x*e + a*e)*B*a^3*b^7*c^3*d^4*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 150*(b*x*e + a*e)*B*a^4*b^6*c^2*d^5*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 60*(b*x*e + a*e)*B*a^5*b^5*c*d^6*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 10*(b*x*e + a*e)*B*a^6*b^4*d^7*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 20*(b*x*e + a*e)^2*B*b^9*c^6*d^2*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 120*(b*x*e + a*e)^2*B*a*b^8*c^5*d^3*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 300*(b*x*e + a*e)^2*B*a^2*b^7*c^4*d^4*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 400*(b*x*e + a*e)^2*B*a^3*b^6*c^3*d^5*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 300*(b*x*e + a*e)^2*B*a^4*b^5*c^2*d^6*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 120*(b*x*e + a*e)^2*B*a^5*b^4*c*d^7*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 20*(b*x*e + a*e)^2*B*a^6*b^3*d^8*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 20*(b*x*e + a*e)^3*B*b^8*c^6*d^3*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 120*(b*x*e + a*e)^3*B*a*b^7*c^5*d^4*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 300*(b*x*e + a*e)^3*B*a^2*b^6*c^4*d^5*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 400*(b*x*e + a*e)^3*B*a^3*b^5*c^3*d^6*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 300*(b*x*e + a*e)^3*B*a^4*b^4*c^2*d^7*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 120*(b*x*e + a*e)^3*B*a^5*b^3*c*d^8*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 20*(b*x*e + a*e)^3*B*a^6*b^2*d^9*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 10*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 60*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 150*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 200*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 150*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 60*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 10*(b*x*e + a*e)^4*B*a^6*b*d^10*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 2*(b*x*e + a*e)^5*B*b^6*c^6*d^5*g^2*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 12*(b*x*e + a*e)^5*B*a*b^5*c^5*d^6*g^2*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 30*(b*x*e + a*e)^5*B*a^2*b^4*c^4*d^7*g^2*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 40*(b*x*e + a*e)^5*B*a^3*b^3*c^3*d^8*g^2*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 30*(b*x*e + a*e)^5*B*a^4*b^2*c^2*d^9*g^2*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 12*(b*x*e + a*e)^5*B*a^5*b*c*d^10*g^2*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 2*(b*x*e + a*e)^5*B*a^6*d^11*g^2*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 20*(b*x*e + a*e)^3*B*b^8*c^6*d^3*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 120*(b*x*e + a*e)^3*B*a*b^7*c^5*d^4*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 300*(b*x*e + a*e)^3*B*a^2*b^6*c^4*d^5*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 400*(b*x*e + a*e)^3*B*a^3*b^5*c^3*d^6*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 300*(b*x*e + a*e)^3*B*a^4*b^4*c^2*d^7*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 120*(b*x*e + a*e)^3*B*a^5*b^3*c*d^8*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 20*(b*x*e + a*e)^3*B*a^6*b^2*d^9*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 10*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 60*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 150*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 200*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 150*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 60*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 10*(b*x*e + a*e)^4*B*a^6*b*d^10*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 2*(b*x*e + a*e)^5*B*b^6*c^6*d^5*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 12*(b*x*e + a*e)^5*B*a*b^5*c^5*d^6*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 30*(b*x*e + a*e)^5*B*a^2*b^4*c^4*d^7*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 40*(b*x*e + a*e)^5*B*a^3*b^3*c^3*d^8*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 30*(b*x*e + a*e)^5*B*a^4*b^2*c^2*d^9*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 12*(b*x*e + a*e)^5*B*a^5*b*c*d^10*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 2*(b*x*e + a*e)^5*B*a^6*d^11*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 2*A*b^11*c^6*g^2*e^6 - 12*A*a*b^10*c^5*d*g^2*e^6 + 30*A*a^2*b^9*c^4*d^2*g^2*e^6 - 40*A*a^3*b^8*c^3*d^3*g^2*e^6 + 30*A*a^4*b^7*c^2*d^4*g^2*e^6 - 12*A*a^5*b^6*c*d^5*g^2*e^6 + 2*A*a^6*b^5*d^6*g^2*e^6 - 10*(b*x*e + a*e)*A*b^10*c^6*d*g^2*e^5/(d*x + c) + 2*(b*x*e + a*e)*B*b^10*c^6*d*g^2*e^5/(d*x + c) + 60*(b*x*e + a*e)*A*a*b^9*c^5*d^2*g^2*e^5/(d*x + c) - 12*(b*x*e + a*e)*B*a*b^9*c^5*d^2*g^2*e^5/(d*x + c) - 150*(b*x*e + a*e)*A*a^2*b^8*c^4*d^3*g^2*e^5/(d*x + c) + 30*(b*x*e + a*e)*B*a^2*b^8*c^4*d^3*g^2*e^5/(d*x + c) + 200*(b*x*e + a*e)*A*a^3*b^7*c^3*d^4*g^2*e^5/(d*x + c) - 40*(b*x*e + a*e)*B*a^3*b^7*c^3*d^4*g^2*e^5/(d*x + c) - 150*(b*x*e + a*e)*A*a^4*b^6*c^2*d^5*g^2*e^5/(d*x + c) + 30*(b*x*e + a*e)*B*a^4*b^6*c^2*d^5*g^2*e^5/(d*x + c) + 60*(b*x*e + a*e)*A*a^5*b^5*c*d^6*g^2*e^5/(d*x + c) - 12*(b*x*e + a*e)*B*a^5*b^5*c*d^6*g^2*e^5/(d*x + c) - 10*(b*x*e + a*e)*A*a^6*b^4*d^7*g^2*e^5/(d*x + c) + 2*(b*x*e + a*e)*B*a^6*b^4*d^7*g^2*e^5/(d*x + c) + 20*(b*x*e + a*e)^2*A*b^9*c^6*d^2*g^2*e^4/(d*x + c)^2 - 9*(b*x*e + a*e)^2*B*b^9*c^6*d^2*g^2*e^4/(d*x + c)^2 - 120*(b*x*e + a*e)^2*A*a*b^8*c^5*d^3*g^2*e^4/(d*x + c)^2 + 54*(b*x*e + a*e)^2*B*a*b^8*c^5*d^3*g^2*e^4/(d*x + c)^2 + 300*(b*x*e + a*e)^2*A*a^2*b^7*c^4*d^4*g^2*e^4/(d*x + c)^2 - 135*(b*x*e + a*e)^2*B*a^2*b^7*c^4*d^4*g^2*e^4/(d*x + c)^2 - 400*(b*x*e + a*e)^2*A*a^3*b^6*c^3*d^5*g^2*e^4/(d*x + c)^2 + 180*(b*x*e + a*e)^2*B*a^3*b^6*c^3*d^5*g^2*e^4/(d*x + c)^2 + 300*(b*x*e + a*e)^2*A*a^4*b^5*c^2*d^6*g^2*e^4/(d*x + c)^2 - 135*(b*x*e + a*e)^2*B*a^4*b^5*c^2*d^6*g^2*e^4/(d*x + c)^2 - 120*(b*x*e + a*e)^2*A*a^5*b^4*c*d^7*g^2*e^4/(d*x + c)^2 + 54*(b*x*e + a*e)^2*B*a^5*b^4*c*d^7*g^2*e^4/(d*x + c)^2 + 20*(b*x*e + a*e)^2*A*a^6*b^3*d^8*g^2*e^4/(d*x + c)^2 - 9*(b*x*e + a*e)^2*B*a^6*b^3*d^8*g^2*e^4/(d*x + c)^2 + 9*(b*x*e + a*e)^3*B*b^8*c^6*d^3*g^2*e^3/(d*x + c)^3 - 54*(b*x*e + a*e)^3*B*a*b^7*c^5*d^4*g^2*e^3/(d*x + c)^3 + 135*(b*x*e + a*e)^3*B*a^2*b^6*c^4*d^5*g^2*e^3/(d*x + c)^3 - 180*(b*x*e + a*e)^3*B*a^3*b^5*c^3*d^6*g^2*e^3/(d*x + c)^3 + 135*(b*x*e + a*e)^3*B*a^4*b^4*c^2*d^7*g^2*e^3/(d*x + c)^3 - 54*(b*x*e + a*e)^3*B*a^5*b^3*c*d^8*g^2*e^3/(d*x + c)^3 + 9*(b*x*e + a*e)^3*B*a^6*b^2*d^9*g^2*e^3/(d*x + c)^3 - 2*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g^2*e^2/(d*x + c)^4 + 12*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g^2*e^2/(d*x + c)^4 - 30*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g^2*e^2/(d*x + c)^4 + 40*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g^2*e^2/(d*x + c)^4 - 30*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g^2*e^2/(d*x + c)^4 + 12*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g^2*e^2/(d*x + c)^4 - 2*(b*x*e + a*e)^4*B*a^6*b*d^10*g^2*e^2/(d*x + c)^4)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^8*d^3*e^5 - 5*(b*x*e + a*e)*b^7*d^4*e^4/(d*x + c) + 10*(b*x*e + a*e)^2*b^6*d^5*e^3/(d*x + c)^2 - 10*(b*x*e + a*e)^3*b^5*d^6*e^2/(d*x + c)^3 + 5*(b*x*e + a*e)^4*b^4*d^7*e/(d*x + c)^4 - (b*x*e + a*e)^5*b^3*d^8/(d*x + c)^5)","B",0
12,1,3856,0,1.061463," ","integrate((b*g*x+a*g)*(d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(2 \, B b^{9} c^{5} g e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 10 \, B a b^{8} c^{4} d g e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 20 \, B a^{2} b^{7} c^{3} d^{2} g e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 20 \, B a^{3} b^{6} c^{2} d^{3} g e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 10 \, B a^{4} b^{5} c d^{4} g e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 2 \, B a^{5} b^{4} d^{5} g e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{8 \, {\left(b x e + a e\right)} B b^{8} c^{5} d g e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{40 \, {\left(b x e + a e\right)} B a b^{7} c^{4} d^{2} g e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{80 \, {\left(b x e + a e\right)} B a^{2} b^{6} c^{3} d^{3} g e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{80 \, {\left(b x e + a e\right)} B a^{3} b^{5} c^{2} d^{4} g e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{40 \, {\left(b x e + a e\right)} B a^{4} b^{4} c d^{5} g e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{8 \, {\left(b x e + a e\right)} B a^{5} b^{3} d^{6} g e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{12 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} g e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} g e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} g e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} g e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c d^{6} g e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{2} d^{7} g e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{8 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} g e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{40 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} g e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{80 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} g e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{80 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} d^{6} g e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{40 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} g e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{8 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} g e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{2 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{5} d^{4} g e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{10 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{4} d^{5} g e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{20 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{3} c^{3} d^{6} g e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{20 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{2} c^{2} d^{7} g e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{10 \, {\left(b x e + a e\right)}^{4} B a^{4} b c d^{8} g e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x e + a e\right)}^{4} B a^{5} d^{9} g e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{12 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} g e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} g e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} g e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} g e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c d^{6} g e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{2} d^{7} g e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{8 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} g e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{40 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} g e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{80 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} g e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{80 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} d^{6} g e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{40 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} g e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{8 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} g e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{5} d^{4} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{10 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{4} d^{5} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{20 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{3} c^{3} d^{6} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{20 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{2} c^{2} d^{7} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{10 \, {\left(b x e + a e\right)}^{4} B a^{4} b c d^{8} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{2 \, {\left(b x e + a e\right)}^{4} B a^{5} d^{9} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + 2 \, A b^{9} c^{5} g e^{5} - B b^{9} c^{5} g e^{5} - 10 \, A a b^{8} c^{4} d g e^{5} + 5 \, B a b^{8} c^{4} d g e^{5} + 20 \, A a^{2} b^{7} c^{3} d^{2} g e^{5} - 10 \, B a^{2} b^{7} c^{3} d^{2} g e^{5} - 20 \, A a^{3} b^{6} c^{2} d^{3} g e^{5} + 10 \, B a^{3} b^{6} c^{2} d^{3} g e^{5} + 10 \, A a^{4} b^{5} c d^{4} g e^{5} - 5 \, B a^{4} b^{5} c d^{4} g e^{5} - 2 \, A a^{5} b^{4} d^{5} g e^{5} + B a^{5} b^{4} d^{5} g e^{5} - \frac{8 \, {\left(b x e + a e\right)} A b^{8} c^{5} d g e^{4}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B b^{8} c^{5} d g e^{4}}{d x + c} + \frac{40 \, {\left(b x e + a e\right)} A a b^{7} c^{4} d^{2} g e^{4}}{d x + c} - \frac{30 \, {\left(b x e + a e\right)} B a b^{7} c^{4} d^{2} g e^{4}}{d x + c} - \frac{80 \, {\left(b x e + a e\right)} A a^{2} b^{6} c^{3} d^{3} g e^{4}}{d x + c} + \frac{60 \, {\left(b x e + a e\right)} B a^{2} b^{6} c^{3} d^{3} g e^{4}}{d x + c} + \frac{80 \, {\left(b x e + a e\right)} A a^{3} b^{5} c^{2} d^{4} g e^{4}}{d x + c} - \frac{60 \, {\left(b x e + a e\right)} B a^{3} b^{5} c^{2} d^{4} g e^{4}}{d x + c} - \frac{40 \, {\left(b x e + a e\right)} A a^{4} b^{4} c d^{5} g e^{4}}{d x + c} + \frac{30 \, {\left(b x e + a e\right)} B a^{4} b^{4} c d^{5} g e^{4}}{d x + c} + \frac{8 \, {\left(b x e + a e\right)} A a^{5} b^{3} d^{6} g e^{4}}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} B a^{5} b^{3} d^{6} g e^{4}}{d x + c} - \frac{7 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} g e^{3}}{{\left(d x + c\right)}^{2}} + \frac{35 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} g e^{3}}{{\left(d x + c\right)}^{2}} - \frac{70 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} g e^{3}}{{\left(d x + c\right)}^{2}} + \frac{70 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} g e^{3}}{{\left(d x + c\right)}^{2}} - \frac{35 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c d^{6} g e^{3}}{{\left(d x + c\right)}^{2}} + \frac{7 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{2} d^{7} g e^{3}}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} g e^{2}}{{\left(d x + c\right)}^{3}} - \frac{10 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} g e^{2}}{{\left(d x + c\right)}^{3}} + \frac{20 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} g e^{2}}{{\left(d x + c\right)}^{3}} - \frac{20 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} d^{6} g e^{2}}{{\left(d x + c\right)}^{3}} + \frac{10 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} g e^{2}}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} g e^{2}}{{\left(d x + c\right)}^{3}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{24 \, {\left(b^{7} d^{2} e^{4} - \frac{4 \, {\left(b x e + a e\right)} b^{6} d^{3} e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)}^{2} b^{5} d^{4} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{3} b^{4} d^{5} e}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x e + a e\right)}^{4} b^{3} d^{6}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"1/24*(2*B*b^9*c^5*g*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 10*B*a*b^8*c^4*d*g*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 20*B*a^2*b^7*c^3*d^2*g*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 20*B*a^3*b^6*c^2*d^3*g*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 10*B*a^4*b^5*c*d^4*g*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 2*B*a^5*b^4*d^5*g*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 8*(b*x*e + a*e)*B*b^8*c^5*d*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 40*(b*x*e + a*e)*B*a*b^7*c^4*d^2*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 80*(b*x*e + a*e)*B*a^2*b^6*c^3*d^3*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 80*(b*x*e + a*e)*B*a^3*b^5*c^2*d^4*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 40*(b*x*e + a*e)*B*a^4*b^4*c*d^5*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 8*(b*x*e + a*e)*B*a^5*b^3*d^6*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 12*(b*x*e + a*e)^2*B*b^7*c^5*d^2*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 60*(b*x*e + a*e)^2*B*a*b^6*c^4*d^3*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 120*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 120*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 60*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 12*(b*x*e + a*e)^2*B*a^5*b^2*d^7*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 8*(b*x*e + a*e)^3*B*b^6*c^5*d^3*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 40*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 80*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 80*(b*x*e + a*e)^3*B*a^3*b^3*c^2*d^6*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 40*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 8*(b*x*e + a*e)^3*B*a^5*b*d^8*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 2*(b*x*e + a*e)^4*B*b^5*c^5*d^4*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 10*(b*x*e + a*e)^4*B*a*b^4*c^4*d^5*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 20*(b*x*e + a*e)^4*B*a^2*b^3*c^3*d^6*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 20*(b*x*e + a*e)^4*B*a^3*b^2*c^2*d^7*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 10*(b*x*e + a*e)^4*B*a^4*b*c*d^8*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 2*(b*x*e + a*e)^4*B*a^5*d^9*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 12*(b*x*e + a*e)^2*B*b^7*c^5*d^2*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 60*(b*x*e + a*e)^2*B*a*b^6*c^4*d^3*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 120*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 120*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 60*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 12*(b*x*e + a*e)^2*B*a^5*b^2*d^7*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 8*(b*x*e + a*e)^3*B*b^6*c^5*d^3*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 40*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 80*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 80*(b*x*e + a*e)^3*B*a^3*b^3*c^2*d^6*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 40*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 8*(b*x*e + a*e)^3*B*a^5*b*d^8*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 2*(b*x*e + a*e)^4*B*b^5*c^5*d^4*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 10*(b*x*e + a*e)^4*B*a*b^4*c^4*d^5*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 20*(b*x*e + a*e)^4*B*a^2*b^3*c^3*d^6*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 20*(b*x*e + a*e)^4*B*a^3*b^2*c^2*d^7*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 10*(b*x*e + a*e)^4*B*a^4*b*c*d^8*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 2*(b*x*e + a*e)^4*B*a^5*d^9*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 2*A*b^9*c^5*g*e^5 - B*b^9*c^5*g*e^5 - 10*A*a*b^8*c^4*d*g*e^5 + 5*B*a*b^8*c^4*d*g*e^5 + 20*A*a^2*b^7*c^3*d^2*g*e^5 - 10*B*a^2*b^7*c^3*d^2*g*e^5 - 20*A*a^3*b^6*c^2*d^3*g*e^5 + 10*B*a^3*b^6*c^2*d^3*g*e^5 + 10*A*a^4*b^5*c*d^4*g*e^5 - 5*B*a^4*b^5*c*d^4*g*e^5 - 2*A*a^5*b^4*d^5*g*e^5 + B*a^5*b^4*d^5*g*e^5 - 8*(b*x*e + a*e)*A*b^8*c^5*d*g*e^4/(d*x + c) + 6*(b*x*e + a*e)*B*b^8*c^5*d*g*e^4/(d*x + c) + 40*(b*x*e + a*e)*A*a*b^7*c^4*d^2*g*e^4/(d*x + c) - 30*(b*x*e + a*e)*B*a*b^7*c^4*d^2*g*e^4/(d*x + c) - 80*(b*x*e + a*e)*A*a^2*b^6*c^3*d^3*g*e^4/(d*x + c) + 60*(b*x*e + a*e)*B*a^2*b^6*c^3*d^3*g*e^4/(d*x + c) + 80*(b*x*e + a*e)*A*a^3*b^5*c^2*d^4*g*e^4/(d*x + c) - 60*(b*x*e + a*e)*B*a^3*b^5*c^2*d^4*g*e^4/(d*x + c) - 40*(b*x*e + a*e)*A*a^4*b^4*c*d^5*g*e^4/(d*x + c) + 30*(b*x*e + a*e)*B*a^4*b^4*c*d^5*g*e^4/(d*x + c) + 8*(b*x*e + a*e)*A*a^5*b^3*d^6*g*e^4/(d*x + c) - 6*(b*x*e + a*e)*B*a^5*b^3*d^6*g*e^4/(d*x + c) - 7*(b*x*e + a*e)^2*B*b^7*c^5*d^2*g*e^3/(d*x + c)^2 + 35*(b*x*e + a*e)^2*B*a*b^6*c^4*d^3*g*e^3/(d*x + c)^2 - 70*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*g*e^3/(d*x + c)^2 + 70*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*g*e^3/(d*x + c)^2 - 35*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*g*e^3/(d*x + c)^2 + 7*(b*x*e + a*e)^2*B*a^5*b^2*d^7*g*e^3/(d*x + c)^2 + 2*(b*x*e + a*e)^3*B*b^6*c^5*d^3*g*e^2/(d*x + c)^3 - 10*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*g*e^2/(d*x + c)^3 + 20*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*g*e^2/(d*x + c)^3 - 20*(b*x*e + a*e)^3*B*a^3*b^3*c^2*d^6*g*e^2/(d*x + c)^3 + 10*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*g*e^2/(d*x + c)^3 - 2*(b*x*e + a*e)^3*B*a^5*b*d^8*g*e^2/(d*x + c)^3)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^7*d^2*e^4 - 4*(b*x*e + a*e)*b^6*d^3*e^3/(d*x + c) + 6*(b*x*e + a*e)^2*b^5*d^4*e^2/(d*x + c)^2 - 4*(b*x*e + a*e)^3*b^4*d^5*e/(d*x + c)^3 + (b*x*e + a*e)^4*b^3*d^6/(d*x + c)^4)","B",0
13,1,2475,0,0.834906," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","-\frac{{\left(2 \, B b^{7} c^{4} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 8 \, B a b^{6} c^{3} d e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 12 \, B a^{2} b^{5} c^{2} d^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 8 \, B a^{3} b^{4} c d^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 2 \, B a^{4} b^{3} d^{4} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{6 \, {\left(b x e + a e\right)} B b^{6} c^{4} d e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{24 \, {\left(b x e + a e\right)} B a b^{5} c^{3} d^{2} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{36 \, {\left(b x e + a e\right)} B a^{2} b^{4} c^{2} d^{3} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{24 \, {\left(b x e + a e\right)} B a^{3} b^{3} c d^{4} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} B a^{4} b^{2} d^{5} e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{6 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{4} d^{2} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{3} d^{3} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c^{2} d^{4} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} c d^{5} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} B a^{4} b d^{6} e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x e + a e\right)}^{3} B b^{4} c^{4} d^{3} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{8 \, {\left(b x e + a e\right)}^{3} B a b^{3} c^{3} d^{4} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{12 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{2} c^{2} d^{5} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{8 \, {\left(b x e + a e\right)}^{3} B a^{3} b c d^{6} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x e + a e\right)}^{3} B a^{4} d^{7} e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{6 \, {\left(b x e + a e\right)} B b^{6} c^{4} d e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{24 \, {\left(b x e + a e\right)} B a b^{5} c^{3} d^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{36 \, {\left(b x e + a e\right)} B a^{2} b^{4} c^{2} d^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{24 \, {\left(b x e + a e\right)} B a^{3} b^{3} c d^{4} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B a^{4} b^{2} d^{5} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{6 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{4} d^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{24 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{3} d^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c^{2} d^{4} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{24 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} c d^{5} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x e + a e\right)}^{2} B a^{4} b d^{6} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{3} B b^{4} c^{4} d^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{8 \, {\left(b x e + a e\right)}^{3} B a b^{3} c^{3} d^{4} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{12 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{2} c^{2} d^{5} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{8 \, {\left(b x e + a e\right)}^{3} B a^{3} b c d^{6} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{2 \, {\left(b x e + a e\right)}^{3} B a^{4} d^{7} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + 2 \, A b^{7} c^{4} e^{4} - 3 \, B b^{7} c^{4} e^{4} - 8 \, A a b^{6} c^{3} d e^{4} + 12 \, B a b^{6} c^{3} d e^{4} + 12 \, A a^{2} b^{5} c^{2} d^{2} e^{4} - 18 \, B a^{2} b^{5} c^{2} d^{2} e^{4} - 8 \, A a^{3} b^{4} c d^{3} e^{4} + 12 \, B a^{3} b^{4} c d^{3} e^{4} + 2 \, A a^{4} b^{3} d^{4} e^{4} - 3 \, B a^{4} b^{3} d^{4} e^{4} + \frac{5 \, {\left(b x e + a e\right)} B b^{6} c^{4} d e^{3}}{d x + c} - \frac{20 \, {\left(b x e + a e\right)} B a b^{5} c^{3} d^{2} e^{3}}{d x + c} + \frac{30 \, {\left(b x e + a e\right)} B a^{2} b^{4} c^{2} d^{3} e^{3}}{d x + c} - \frac{20 \, {\left(b x e + a e\right)} B a^{3} b^{3} c d^{4} e^{3}}{d x + c} + \frac{5 \, {\left(b x e + a e\right)} B a^{4} b^{2} d^{5} e^{3}}{d x + c} - \frac{2 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{4} d^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{8 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{3} d^{3} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c^{2} d^{4} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{8 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} c d^{5} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x e + a e\right)}^{2} B a^{4} b d^{6} e^{2}}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{6 \, {\left(b^{6} d e^{3} - \frac{3 \, {\left(b x e + a e\right)} b^{5} d^{2} e^{2}}{d x + c} + \frac{3 \, {\left(b x e + a e\right)}^{2} b^{4} d^{3} e}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{3} b^{3} d^{4}}{{\left(d x + c\right)}^{3}}\right)}}"," ",0,"-1/6*(2*B*b^7*c^4*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 8*B*a*b^6*c^3*d*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 12*B*a^2*b^5*c^2*d^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 8*B*a^3*b^4*c*d^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 2*B*a^4*b^3*d^4*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 6*(b*x*e + a*e)*B*b^6*c^4*d*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 24*(b*x*e + a*e)*B*a*b^5*c^3*d^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 36*(b*x*e + a*e)*B*a^2*b^4*c^2*d^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 24*(b*x*e + a*e)*B*a^3*b^3*c*d^4*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 6*(b*x*e + a*e)*B*a^4*b^2*d^5*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 6*(b*x*e + a*e)^2*B*b^5*c^4*d^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 24*(b*x*e + a*e)^2*B*a*b^4*c^3*d^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 36*(b*x*e + a*e)^2*B*a^2*b^3*c^2*d^4*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 24*(b*x*e + a*e)^2*B*a^3*b^2*c*d^5*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 6*(b*x*e + a*e)^2*B*a^4*b*d^6*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 2*(b*x*e + a*e)^3*B*b^4*c^4*d^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 8*(b*x*e + a*e)^3*B*a*b^3*c^3*d^4*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 12*(b*x*e + a*e)^3*B*a^2*b^2*c^2*d^5*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 8*(b*x*e + a*e)^3*B*a^3*b*c*d^6*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 2*(b*x*e + a*e)^3*B*a^4*d^7*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 6*(b*x*e + a*e)*B*b^6*c^4*d*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 24*(b*x*e + a*e)*B*a*b^5*c^3*d^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 36*(b*x*e + a*e)*B*a^2*b^4*c^2*d^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 24*(b*x*e + a*e)*B*a^3*b^3*c*d^4*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 6*(b*x*e + a*e)*B*a^4*b^2*d^5*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 6*(b*x*e + a*e)^2*B*b^5*c^4*d^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 24*(b*x*e + a*e)^2*B*a*b^4*c^3*d^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 36*(b*x*e + a*e)^2*B*a^2*b^3*c^2*d^4*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 24*(b*x*e + a*e)^2*B*a^3*b^2*c*d^5*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 6*(b*x*e + a*e)^2*B*a^4*b*d^6*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 2*(b*x*e + a*e)^3*B*b^4*c^4*d^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 8*(b*x*e + a*e)^3*B*a*b^3*c^3*d^4*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 12*(b*x*e + a*e)^3*B*a^2*b^2*c^2*d^5*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 8*(b*x*e + a*e)^3*B*a^3*b*c*d^6*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 2*(b*x*e + a*e)^3*B*a^4*d^7*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 2*A*b^7*c^4*e^4 - 3*B*b^7*c^4*e^4 - 8*A*a*b^6*c^3*d*e^4 + 12*B*a*b^6*c^3*d*e^4 + 12*A*a^2*b^5*c^2*d^2*e^4 - 18*B*a^2*b^5*c^2*d^2*e^4 - 8*A*a^3*b^4*c*d^3*e^4 + 12*B*a^3*b^4*c*d^3*e^4 + 2*A*a^4*b^3*d^4*e^4 - 3*B*a^4*b^3*d^4*e^4 + 5*(b*x*e + a*e)*B*b^6*c^4*d*e^3/(d*x + c) - 20*(b*x*e + a*e)*B*a*b^5*c^3*d^2*e^3/(d*x + c) + 30*(b*x*e + a*e)*B*a^2*b^4*c^2*d^3*e^3/(d*x + c) - 20*(b*x*e + a*e)*B*a^3*b^3*c*d^4*e^3/(d*x + c) + 5*(b*x*e + a*e)*B*a^4*b^2*d^5*e^3/(d*x + c) - 2*(b*x*e + a*e)^2*B*b^5*c^4*d^2*e^2/(d*x + c)^2 + 8*(b*x*e + a*e)^2*B*a*b^4*c^3*d^3*e^2/(d*x + c)^2 - 12*(b*x*e + a*e)^2*B*a^2*b^3*c^2*d^4*e^2/(d*x + c)^2 + 8*(b*x*e + a*e)^2*B*a^3*b^2*c*d^5*e^2/(d*x + c)^2 - 2*(b*x*e + a*e)^2*B*a^4*b*d^6*e^2/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^6*d*e^3 - 3*(b*x*e + a*e)*b^5*d^2*e^2/(d*x + c) + 3*(b*x*e + a*e)^2*b^4*d^3*e/(d*x + c)^2 - (b*x*e + a*e)^3*b^3*d^4/(d*x + c)^3)","B",0
14,0,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g),x, algorithm=""giac"")","\int \frac{{\left(d i x + c i\right)}^{2} {\left(B \log\left(\frac{{\left(b x + a\right)} e}{d x + c}\right) + A\right)}}{b g x + a g}\,{d x}"," ",0,"integrate((d*i*x + c*i)^2*(B*log((b*x + a)*e/(d*x + c)) + A)/(b*g*x + a*g), x)","F",0
15,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,1,114,0,2.300489," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^4,x, algorithm=""giac"")","\frac{{\left(3 \, B e^{4} \log\left(\frac{b x e + a e}{d x + c}\right) + 3 \, A e^{4} + B e^{4}\right)} {\left(d x + c\right)}^{3} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{9 \, {\left(b x e + a e\right)}^{3} g^{4}}"," ",0,"1/9*(3*B*e^4*log((b*x*e + a*e)/(d*x + c)) + 3*A*e^4 + B*e^4)*(d*x + c)^3*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^3*g^4)","A",0
18,1,238,0,2.949563," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{{\left(36 \, B b e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{48 \, {\left(b x e + a e\right)} B d e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + 36 \, A b e^{5} + 9 \, B b e^{5} - \frac{48 \, {\left(b x e + a e\right)} A d e^{4}}{d x + c} - \frac{16 \, {\left(b x e + a e\right)} B d e^{4}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{144 \, {\left(\frac{{\left(b x e + a e\right)}^{4} b c g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x e + a e\right)}^{4} a d g^{5}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"1/144*(36*B*b*e^5*log((b*x*e + a*e)/(d*x + c)) - 48*(b*x*e + a*e)*B*d*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 36*A*b*e^5 + 9*B*b*e^5 - 48*(b*x*e + a*e)*A*d*e^4/(d*x + c) - 16*(b*x*e + a*e)*B*d*e^4/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^4*b*c*g^5/(d*x + c)^4 - (b*x*e + a*e)^4*a*d*g^5/(d*x + c)^4)","A",0
19,1,382,0,3.512187," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^6,x, algorithm=""giac"")","\frac{{\left(360 \, B b^{2} e^{6} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{900 \, {\left(b x e + a e\right)} B b d e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{600 \, {\left(b x e + a e\right)}^{2} B d^{2} e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + 360 \, A b^{2} e^{6} + 72 \, B b^{2} e^{6} - \frac{900 \, {\left(b x e + a e\right)} A b d e^{5}}{d x + c} - \frac{225 \, {\left(b x e + a e\right)} B b d e^{5}}{d x + c} + \frac{600 \, {\left(b x e + a e\right)}^{2} A d^{2} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{200 \, {\left(b x e + a e\right)}^{2} B d^{2} e^{4}}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{1800 \, {\left(\frac{{\left(b x e + a e\right)}^{5} b^{2} c^{2} g^{6}}{{\left(d x + c\right)}^{5}} - \frac{2 \, {\left(b x e + a e\right)}^{5} a b c d g^{6}}{{\left(d x + c\right)}^{5}} + \frac{{\left(b x e + a e\right)}^{5} a^{2} d^{2} g^{6}}{{\left(d x + c\right)}^{5}}\right)}}"," ",0,"1/1800*(360*B*b^2*e^6*log((b*x*e + a*e)/(d*x + c)) - 900*(b*x*e + a*e)*B*b*d*e^5*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 600*(b*x*e + a*e)^2*B*d^2*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 360*A*b^2*e^6 + 72*B*b^2*e^6 - 900*(b*x*e + a*e)*A*b*d*e^5/(d*x + c) - 225*(b*x*e + a*e)*B*b*d*e^5/(d*x + c) + 600*(b*x*e + a*e)^2*A*d^2*e^4/(d*x + c)^2 + 200*(b*x*e + a*e)^2*B*d^2*e^4/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^5*b^2*c^2*g^6/(d*x + c)^5 - 2*(b*x*e + a*e)^5*a*b*c*d*g^6/(d*x + c)^5 + (b*x*e + a*e)^5*a^2*d^2*g^6/(d*x + c)^5)","A",0
20,1,10098,0,2.575075," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(6 \, B b^{15} c^{8} g^{3} i e^{8} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 48 \, B a b^{14} c^{7} d g^{3} i e^{8} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 168 \, B a^{2} b^{13} c^{6} d^{2} g^{3} i e^{8} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 336 \, B a^{3} b^{12} c^{5} d^{3} g^{3} i e^{8} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 420 \, B a^{4} b^{11} c^{4} d^{4} g^{3} i e^{8} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 336 \, B a^{5} b^{10} c^{3} d^{5} g^{3} i e^{8} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 168 \, B a^{6} b^{9} c^{2} d^{6} g^{3} i e^{8} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 48 \, B a^{7} b^{8} c d^{7} g^{3} i e^{8} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 6 \, B a^{8} b^{7} d^{8} g^{3} i e^{8} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{42 \, {\left(b x e + a e\right)} B b^{14} c^{8} d g^{3} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{336 \, {\left(b x e + a e\right)} B a b^{13} c^{7} d^{2} g^{3} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{1176 \, {\left(b x e + a e\right)} B a^{2} b^{12} c^{6} d^{3} g^{3} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{2352 \, {\left(b x e + a e\right)} B a^{3} b^{11} c^{5} d^{4} g^{3} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{2940 \, {\left(b x e + a e\right)} B a^{4} b^{10} c^{4} d^{5} g^{3} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{2352 \, {\left(b x e + a e\right)} B a^{5} b^{9} c^{3} d^{6} g^{3} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{1176 \, {\left(b x e + a e\right)} B a^{6} b^{8} c^{2} d^{7} g^{3} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{336 \, {\left(b x e + a e\right)} B a^{7} b^{7} c d^{8} g^{3} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{42 \, {\left(b x e + a e\right)} B a^{8} b^{6} d^{9} g^{3} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{126 \, {\left(b x e + a e\right)}^{2} B b^{13} c^{8} d^{2} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{1008 \, {\left(b x e + a e\right)}^{2} B a b^{12} c^{7} d^{3} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{3528 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{11} c^{6} d^{4} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{7056 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{10} c^{5} d^{5} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{8820 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{9} c^{4} d^{6} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{7056 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{8} c^{3} d^{7} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{3528 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{7} c^{2} d^{8} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{1008 \, {\left(b x e + a e\right)}^{2} B a^{7} b^{6} c d^{9} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{126 \, {\left(b x e + a e\right)}^{2} B a^{8} b^{5} d^{10} g^{3} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{210 \, {\left(b x e + a e\right)}^{3} B b^{12} c^{8} d^{3} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{1680 \, {\left(b x e + a e\right)}^{3} B a b^{11} c^{7} d^{4} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{5880 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{10} c^{6} d^{5} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{11760 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{9} c^{5} d^{6} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{14700 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{8} c^{4} d^{7} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{11760 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{7} c^{3} d^{8} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{5880 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{6} c^{2} d^{9} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{1680 \, {\left(b x e + a e\right)}^{3} B a^{7} b^{5} c d^{10} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{210 \, {\left(b x e + a e\right)}^{3} B a^{8} b^{4} d^{11} g^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{210 \, {\left(b x e + a e\right)}^{4} B b^{11} c^{8} d^{4} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{1680 \, {\left(b x e + a e\right)}^{4} B a b^{10} c^{7} d^{5} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{5880 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{9} c^{6} d^{6} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{11760 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{8} c^{5} d^{7} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{14700 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{7} c^{4} d^{8} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{11760 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{6} c^{3} d^{9} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{5880 \, {\left(b x e + a e\right)}^{4} B a^{6} b^{5} c^{2} d^{10} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{1680 \, {\left(b x e + a e\right)}^{4} B a^{7} b^{4} c d^{11} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{210 \, {\left(b x e + a e\right)}^{4} B a^{8} b^{3} d^{12} g^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{126 \, {\left(b x e + a e\right)}^{5} B b^{10} c^{8} d^{5} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{1008 \, {\left(b x e + a e\right)}^{5} B a b^{9} c^{7} d^{6} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{3528 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{8} c^{6} d^{7} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{7056 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{7} c^{5} d^{8} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{8820 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{6} c^{4} d^{9} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{7056 \, {\left(b x e + a e\right)}^{5} B a^{5} b^{5} c^{3} d^{10} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{3528 \, {\left(b x e + a e\right)}^{5} B a^{6} b^{4} c^{2} d^{11} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{1008 \, {\left(b x e + a e\right)}^{5} B a^{7} b^{3} c d^{12} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{126 \, {\left(b x e + a e\right)}^{5} B a^{8} b^{2} d^{13} g^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{42 \, {\left(b x e + a e\right)}^{6} B b^{9} c^{8} d^{6} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{336 \, {\left(b x e + a e\right)}^{6} B a b^{8} c^{7} d^{7} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{1176 \, {\left(b x e + a e\right)}^{6} B a^{2} b^{7} c^{6} d^{8} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{2352 \, {\left(b x e + a e\right)}^{6} B a^{3} b^{6} c^{5} d^{9} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{2940 \, {\left(b x e + a e\right)}^{6} B a^{4} b^{5} c^{4} d^{10} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{2352 \, {\left(b x e + a e\right)}^{6} B a^{5} b^{4} c^{3} d^{11} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{1176 \, {\left(b x e + a e\right)}^{6} B a^{6} b^{3} c^{2} d^{12} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{336 \, {\left(b x e + a e\right)}^{6} B a^{7} b^{2} c d^{13} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{42 \, {\left(b x e + a e\right)}^{6} B a^{8} b d^{14} g^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{6 \, {\left(b x e + a e\right)}^{7} B b^{8} c^{8} d^{7} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{7}} + \frac{48 \, {\left(b x e + a e\right)}^{7} B a b^{7} c^{7} d^{8} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{7}} - \frac{168 \, {\left(b x e + a e\right)}^{7} B a^{2} b^{6} c^{6} d^{9} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{7}} + \frac{336 \, {\left(b x e + a e\right)}^{7} B a^{3} b^{5} c^{5} d^{10} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{7}} - \frac{420 \, {\left(b x e + a e\right)}^{7} B a^{4} b^{4} c^{4} d^{11} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{7}} + \frac{336 \, {\left(b x e + a e\right)}^{7} B a^{5} b^{3} c^{3} d^{12} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{7}} - \frac{168 \, {\left(b x e + a e\right)}^{7} B a^{6} b^{2} c^{2} d^{13} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{7}} + \frac{48 \, {\left(b x e + a e\right)}^{7} B a^{7} b c d^{14} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{7}} - \frac{6 \, {\left(b x e + a e\right)}^{7} B a^{8} d^{15} g^{3} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{7}} - \frac{210 \, {\left(b x e + a e\right)}^{4} B b^{11} c^{8} d^{4} g^{3} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{1680 \, {\left(b x e + a e\right)}^{4} B a b^{10} c^{7} d^{5} g^{3} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{5880 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{9} c^{6} d^{6} g^{3} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{11760 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{8} c^{5} d^{7} g^{3} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{14700 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{7} c^{4} d^{8} g^{3} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{11760 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{6} c^{3} d^{9} g^{3} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{5880 \, {\left(b x e + a e\right)}^{4} B a^{6} b^{5} c^{2} d^{10} g^{3} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{1680 \, {\left(b x e + a e\right)}^{4} B a^{7} b^{4} c d^{11} g^{3} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{210 \, {\left(b x e + a e\right)}^{4} B a^{8} b^{3} d^{12} g^{3} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{126 \, {\left(b x e + a e\right)}^{5} B b^{10} c^{8} d^{5} g^{3} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{1008 \, {\left(b x e + a e\right)}^{5} B a b^{9} c^{7} d^{6} g^{3} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{3528 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{8} c^{6} d^{7} g^{3} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{7056 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{7} c^{5} d^{8} g^{3} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{8820 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{6} c^{4} d^{9} g^{3} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{7056 \, {\left(b x e + a e\right)}^{5} B a^{5} b^{5} c^{3} d^{10} g^{3} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{3528 \, {\left(b x e + a e\right)}^{5} B a^{6} b^{4} c^{2} d^{11} g^{3} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{1008 \, {\left(b x e + a e\right)}^{5} B a^{7} b^{3} c d^{12} g^{3} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{126 \, {\left(b x e + a e\right)}^{5} B a^{8} b^{2} d^{13} g^{3} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{42 \, {\left(b x e + a e\right)}^{6} B b^{9} c^{8} d^{6} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{336 \, {\left(b x e + a e\right)}^{6} B a b^{8} c^{7} d^{7} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{1176 \, {\left(b x e + a e\right)}^{6} B a^{2} b^{7} c^{6} d^{8} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{2352 \, {\left(b x e + a e\right)}^{6} B a^{3} b^{6} c^{5} d^{9} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{2940 \, {\left(b x e + a e\right)}^{6} B a^{4} b^{5} c^{4} d^{10} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{2352 \, {\left(b x e + a e\right)}^{6} B a^{5} b^{4} c^{3} d^{11} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{1176 \, {\left(b x e + a e\right)}^{6} B a^{6} b^{3} c^{2} d^{12} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{336 \, {\left(b x e + a e\right)}^{6} B a^{7} b^{2} c d^{13} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{42 \, {\left(b x e + a e\right)}^{6} B a^{8} b d^{14} g^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{6 \, {\left(b x e + a e\right)}^{7} B b^{8} c^{8} d^{7} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{7}} - \frac{48 \, {\left(b x e + a e\right)}^{7} B a b^{7} c^{7} d^{8} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{7}} + \frac{168 \, {\left(b x e + a e\right)}^{7} B a^{2} b^{6} c^{6} d^{9} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{7}} - \frac{336 \, {\left(b x e + a e\right)}^{7} B a^{3} b^{5} c^{5} d^{10} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{7}} + \frac{420 \, {\left(b x e + a e\right)}^{7} B a^{4} b^{4} c^{4} d^{11} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{7}} - \frac{336 \, {\left(b x e + a e\right)}^{7} B a^{5} b^{3} c^{3} d^{12} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{7}} + \frac{168 \, {\left(b x e + a e\right)}^{7} B a^{6} b^{2} c^{2} d^{13} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{7}} - \frac{48 \, {\left(b x e + a e\right)}^{7} B a^{7} b c d^{14} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{7}} + \frac{6 \, {\left(b x e + a e\right)}^{7} B a^{8} d^{15} g^{3} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{7}} + 6 \, A b^{15} c^{8} g^{3} i e^{8} - 48 \, A a b^{14} c^{7} d g^{3} i e^{8} + 168 \, A a^{2} b^{13} c^{6} d^{2} g^{3} i e^{8} - 336 \, A a^{3} b^{12} c^{5} d^{3} g^{3} i e^{8} + 420 \, A a^{4} b^{11} c^{4} d^{4} g^{3} i e^{8} - 336 \, A a^{5} b^{10} c^{3} d^{5} g^{3} i e^{8} + 168 \, A a^{6} b^{9} c^{2} d^{6} g^{3} i e^{8} - 48 \, A a^{7} b^{8} c d^{7} g^{3} i e^{8} + 6 \, A a^{8} b^{7} d^{8} g^{3} i e^{8} - \frac{42 \, {\left(b x e + a e\right)} A b^{14} c^{8} d g^{3} i e^{7}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B b^{14} c^{8} d g^{3} i e^{7}}{d x + c} + \frac{336 \, {\left(b x e + a e\right)} A a b^{13} c^{7} d^{2} g^{3} i e^{7}}{d x + c} - \frac{48 \, {\left(b x e + a e\right)} B a b^{13} c^{7} d^{2} g^{3} i e^{7}}{d x + c} - \frac{1176 \, {\left(b x e + a e\right)} A a^{2} b^{12} c^{6} d^{3} g^{3} i e^{7}}{d x + c} + \frac{168 \, {\left(b x e + a e\right)} B a^{2} b^{12} c^{6} d^{3} g^{3} i e^{7}}{d x + c} + \frac{2352 \, {\left(b x e + a e\right)} A a^{3} b^{11} c^{5} d^{4} g^{3} i e^{7}}{d x + c} - \frac{336 \, {\left(b x e + a e\right)} B a^{3} b^{11} c^{5} d^{4} g^{3} i e^{7}}{d x + c} - \frac{2940 \, {\left(b x e + a e\right)} A a^{4} b^{10} c^{4} d^{5} g^{3} i e^{7}}{d x + c} + \frac{420 \, {\left(b x e + a e\right)} B a^{4} b^{10} c^{4} d^{5} g^{3} i e^{7}}{d x + c} + \frac{2352 \, {\left(b x e + a e\right)} A a^{5} b^{9} c^{3} d^{6} g^{3} i e^{7}}{d x + c} - \frac{336 \, {\left(b x e + a e\right)} B a^{5} b^{9} c^{3} d^{6} g^{3} i e^{7}}{d x + c} - \frac{1176 \, {\left(b x e + a e\right)} A a^{6} b^{8} c^{2} d^{7} g^{3} i e^{7}}{d x + c} + \frac{168 \, {\left(b x e + a e\right)} B a^{6} b^{8} c^{2} d^{7} g^{3} i e^{7}}{d x + c} + \frac{336 \, {\left(b x e + a e\right)} A a^{7} b^{7} c d^{8} g^{3} i e^{7}}{d x + c} - \frac{48 \, {\left(b x e + a e\right)} B a^{7} b^{7} c d^{8} g^{3} i e^{7}}{d x + c} - \frac{42 \, {\left(b x e + a e\right)} A a^{8} b^{6} d^{9} g^{3} i e^{7}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B a^{8} b^{6} d^{9} g^{3} i e^{7}}{d x + c} + \frac{126 \, {\left(b x e + a e\right)}^{2} A b^{13} c^{8} d^{2} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} - \frac{39 \, {\left(b x e + a e\right)}^{2} B b^{13} c^{8} d^{2} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} - \frac{1008 \, {\left(b x e + a e\right)}^{2} A a b^{12} c^{7} d^{3} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} + \frac{312 \, {\left(b x e + a e\right)}^{2} B a b^{12} c^{7} d^{3} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} + \frac{3528 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{11} c^{6} d^{4} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} - \frac{1092 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{11} c^{6} d^{4} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} - \frac{7056 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{10} c^{5} d^{5} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} + \frac{2184 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{10} c^{5} d^{5} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} + \frac{8820 \, {\left(b x e + a e\right)}^{2} A a^{4} b^{9} c^{4} d^{6} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} - \frac{2730 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{9} c^{4} d^{6} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} - \frac{7056 \, {\left(b x e + a e\right)}^{2} A a^{5} b^{8} c^{3} d^{7} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} + \frac{2184 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{8} c^{3} d^{7} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} + \frac{3528 \, {\left(b x e + a e\right)}^{2} A a^{6} b^{7} c^{2} d^{8} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} - \frac{1092 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{7} c^{2} d^{8} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} - \frac{1008 \, {\left(b x e + a e\right)}^{2} A a^{7} b^{6} c d^{9} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} + \frac{312 \, {\left(b x e + a e\right)}^{2} B a^{7} b^{6} c d^{9} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} + \frac{126 \, {\left(b x e + a e\right)}^{2} A a^{8} b^{5} d^{10} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} - \frac{39 \, {\left(b x e + a e\right)}^{2} B a^{8} b^{5} d^{10} g^{3} i e^{6}}{{\left(d x + c\right)}^{2}} - \frac{210 \, {\left(b x e + a e\right)}^{3} A b^{12} c^{8} d^{3} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} + \frac{107 \, {\left(b x e + a e\right)}^{3} B b^{12} c^{8} d^{3} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} + \frac{1680 \, {\left(b x e + a e\right)}^{3} A a b^{11} c^{7} d^{4} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} - \frac{856 \, {\left(b x e + a e\right)}^{3} B a b^{11} c^{7} d^{4} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} - \frac{5880 \, {\left(b x e + a e\right)}^{3} A a^{2} b^{10} c^{6} d^{5} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} + \frac{2996 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{10} c^{6} d^{5} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} + \frac{11760 \, {\left(b x e + a e\right)}^{3} A a^{3} b^{9} c^{5} d^{6} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} - \frac{5992 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{9} c^{5} d^{6} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} - \frac{14700 \, {\left(b x e + a e\right)}^{3} A a^{4} b^{8} c^{4} d^{7} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} + \frac{7490 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{8} c^{4} d^{7} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} + \frac{11760 \, {\left(b x e + a e\right)}^{3} A a^{5} b^{7} c^{3} d^{8} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} - \frac{5992 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{7} c^{3} d^{8} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} - \frac{5880 \, {\left(b x e + a e\right)}^{3} A a^{6} b^{6} c^{2} d^{9} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} + \frac{2996 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{6} c^{2} d^{9} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} + \frac{1680 \, {\left(b x e + a e\right)}^{3} A a^{7} b^{5} c d^{10} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} - \frac{856 \, {\left(b x e + a e\right)}^{3} B a^{7} b^{5} c d^{10} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} - \frac{210 \, {\left(b x e + a e\right)}^{3} A a^{8} b^{4} d^{11} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} + \frac{107 \, {\left(b x e + a e\right)}^{3} B a^{8} b^{4} d^{11} g^{3} i e^{5}}{{\left(d x + c\right)}^{3}} - \frac{107 \, {\left(b x e + a e\right)}^{4} B b^{11} c^{8} d^{4} g^{3} i e^{4}}{{\left(d x + c\right)}^{4}} + \frac{856 \, {\left(b x e + a e\right)}^{4} B a b^{10} c^{7} d^{5} g^{3} i e^{4}}{{\left(d x + c\right)}^{4}} - \frac{2996 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{9} c^{6} d^{6} g^{3} i e^{4}}{{\left(d x + c\right)}^{4}} + \frac{5992 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{8} c^{5} d^{7} g^{3} i e^{4}}{{\left(d x + c\right)}^{4}} - \frac{7490 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{7} c^{4} d^{8} g^{3} i e^{4}}{{\left(d x + c\right)}^{4}} + \frac{5992 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{6} c^{3} d^{9} g^{3} i e^{4}}{{\left(d x + c\right)}^{4}} - \frac{2996 \, {\left(b x e + a e\right)}^{4} B a^{6} b^{5} c^{2} d^{10} g^{3} i e^{4}}{{\left(d x + c\right)}^{4}} + \frac{856 \, {\left(b x e + a e\right)}^{4} B a^{7} b^{4} c d^{11} g^{3} i e^{4}}{{\left(d x + c\right)}^{4}} - \frac{107 \, {\left(b x e + a e\right)}^{4} B a^{8} b^{3} d^{12} g^{3} i e^{4}}{{\left(d x + c\right)}^{4}} + \frac{39 \, {\left(b x e + a e\right)}^{5} B b^{10} c^{8} d^{5} g^{3} i e^{3}}{{\left(d x + c\right)}^{5}} - \frac{312 \, {\left(b x e + a e\right)}^{5} B a b^{9} c^{7} d^{6} g^{3} i e^{3}}{{\left(d x + c\right)}^{5}} + \frac{1092 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{8} c^{6} d^{7} g^{3} i e^{3}}{{\left(d x + c\right)}^{5}} - \frac{2184 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{7} c^{5} d^{8} g^{3} i e^{3}}{{\left(d x + c\right)}^{5}} + \frac{2730 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{6} c^{4} d^{9} g^{3} i e^{3}}{{\left(d x + c\right)}^{5}} - \frac{2184 \, {\left(b x e + a e\right)}^{5} B a^{5} b^{5} c^{3} d^{10} g^{3} i e^{3}}{{\left(d x + c\right)}^{5}} + \frac{1092 \, {\left(b x e + a e\right)}^{5} B a^{6} b^{4} c^{2} d^{11} g^{3} i e^{3}}{{\left(d x + c\right)}^{5}} - \frac{312 \, {\left(b x e + a e\right)}^{5} B a^{7} b^{3} c d^{12} g^{3} i e^{3}}{{\left(d x + c\right)}^{5}} + \frac{39 \, {\left(b x e + a e\right)}^{5} B a^{8} b^{2} d^{13} g^{3} i e^{3}}{{\left(d x + c\right)}^{5}} - \frac{6 \, {\left(b x e + a e\right)}^{6} B b^{9} c^{8} d^{6} g^{3} i e^{2}}{{\left(d x + c\right)}^{6}} + \frac{48 \, {\left(b x e + a e\right)}^{6} B a b^{8} c^{7} d^{7} g^{3} i e^{2}}{{\left(d x + c\right)}^{6}} - \frac{168 \, {\left(b x e + a e\right)}^{6} B a^{2} b^{7} c^{6} d^{8} g^{3} i e^{2}}{{\left(d x + c\right)}^{6}} + \frac{336 \, {\left(b x e + a e\right)}^{6} B a^{3} b^{6} c^{5} d^{9} g^{3} i e^{2}}{{\left(d x + c\right)}^{6}} - \frac{420 \, {\left(b x e + a e\right)}^{6} B a^{4} b^{5} c^{4} d^{10} g^{3} i e^{2}}{{\left(d x + c\right)}^{6}} + \frac{336 \, {\left(b x e + a e\right)}^{6} B a^{5} b^{4} c^{3} d^{11} g^{3} i e^{2}}{{\left(d x + c\right)}^{6}} - \frac{168 \, {\left(b x e + a e\right)}^{6} B a^{6} b^{3} c^{2} d^{12} g^{3} i e^{2}}{{\left(d x + c\right)}^{6}} + \frac{48 \, {\left(b x e + a e\right)}^{6} B a^{7} b^{2} c d^{13} g^{3} i e^{2}}{{\left(d x + c\right)}^{6}} - \frac{6 \, {\left(b x e + a e\right)}^{6} B a^{8} b d^{14} g^{3} i e^{2}}{{\left(d x + c\right)}^{6}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{840 \, {\left(b^{11} d^{4} e^{7} - \frac{7 \, {\left(b x e + a e\right)} b^{10} d^{5} e^{6}}{d x + c} + \frac{21 \, {\left(b x e + a e\right)}^{2} b^{9} d^{6} e^{5}}{{\left(d x + c\right)}^{2}} - \frac{35 \, {\left(b x e + a e\right)}^{3} b^{8} d^{7} e^{4}}{{\left(d x + c\right)}^{3}} + \frac{35 \, {\left(b x e + a e\right)}^{4} b^{7} d^{8} e^{3}}{{\left(d x + c\right)}^{4}} - \frac{21 \, {\left(b x e + a e\right)}^{5} b^{6} d^{9} e^{2}}{{\left(d x + c\right)}^{5}} + \frac{7 \, {\left(b x e + a e\right)}^{6} b^{5} d^{10} e}{{\left(d x + c\right)}^{6}} - \frac{{\left(b x e + a e\right)}^{7} b^{4} d^{11}}{{\left(d x + c\right)}^{7}}\right)}}"," ",0,"1/840*(6*B*b^15*c^8*g^3*i*e^8*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 48*B*a*b^14*c^7*d*g^3*i*e^8*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 168*B*a^2*b^13*c^6*d^2*g^3*i*e^8*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 336*B*a^3*b^12*c^5*d^3*g^3*i*e^8*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 420*B*a^4*b^11*c^4*d^4*g^3*i*e^8*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 336*B*a^5*b^10*c^3*d^5*g^3*i*e^8*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 168*B*a^6*b^9*c^2*d^6*g^3*i*e^8*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 48*B*a^7*b^8*c*d^7*g^3*i*e^8*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 6*B*a^8*b^7*d^8*g^3*i*e^8*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 42*(b*x*e + a*e)*B*b^14*c^8*d*g^3*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 336*(b*x*e + a*e)*B*a*b^13*c^7*d^2*g^3*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 1176*(b*x*e + a*e)*B*a^2*b^12*c^6*d^3*g^3*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 2352*(b*x*e + a*e)*B*a^3*b^11*c^5*d^4*g^3*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 2940*(b*x*e + a*e)*B*a^4*b^10*c^4*d^5*g^3*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 2352*(b*x*e + a*e)*B*a^5*b^9*c^3*d^6*g^3*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 1176*(b*x*e + a*e)*B*a^6*b^8*c^2*d^7*g^3*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 336*(b*x*e + a*e)*B*a^7*b^7*c*d^8*g^3*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 42*(b*x*e + a*e)*B*a^8*b^6*d^9*g^3*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 126*(b*x*e + a*e)^2*B*b^13*c^8*d^2*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 1008*(b*x*e + a*e)^2*B*a*b^12*c^7*d^3*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 3528*(b*x*e + a*e)^2*B*a^2*b^11*c^6*d^4*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 7056*(b*x*e + a*e)^2*B*a^3*b^10*c^5*d^5*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 8820*(b*x*e + a*e)^2*B*a^4*b^9*c^4*d^6*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 7056*(b*x*e + a*e)^2*B*a^5*b^8*c^3*d^7*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 3528*(b*x*e + a*e)^2*B*a^6*b^7*c^2*d^8*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 1008*(b*x*e + a*e)^2*B*a^7*b^6*c*d^9*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 126*(b*x*e + a*e)^2*B*a^8*b^5*d^10*g^3*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 210*(b*x*e + a*e)^3*B*b^12*c^8*d^3*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 1680*(b*x*e + a*e)^3*B*a*b^11*c^7*d^4*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 5880*(b*x*e + a*e)^3*B*a^2*b^10*c^6*d^5*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 11760*(b*x*e + a*e)^3*B*a^3*b^9*c^5*d^6*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 14700*(b*x*e + a*e)^3*B*a^4*b^8*c^4*d^7*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 11760*(b*x*e + a*e)^3*B*a^5*b^7*c^3*d^8*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 5880*(b*x*e + a*e)^3*B*a^6*b^6*c^2*d^9*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 1680*(b*x*e + a*e)^3*B*a^7*b^5*c*d^10*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 210*(b*x*e + a*e)^3*B*a^8*b^4*d^11*g^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 210*(b*x*e + a*e)^4*B*b^11*c^8*d^4*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 1680*(b*x*e + a*e)^4*B*a*b^10*c^7*d^5*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 5880*(b*x*e + a*e)^4*B*a^2*b^9*c^6*d^6*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 11760*(b*x*e + a*e)^4*B*a^3*b^8*c^5*d^7*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 14700*(b*x*e + a*e)^4*B*a^4*b^7*c^4*d^8*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 11760*(b*x*e + a*e)^4*B*a^5*b^6*c^3*d^9*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 5880*(b*x*e + a*e)^4*B*a^6*b^5*c^2*d^10*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 1680*(b*x*e + a*e)^4*B*a^7*b^4*c*d^11*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 210*(b*x*e + a*e)^4*B*a^8*b^3*d^12*g^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 126*(b*x*e + a*e)^5*B*b^10*c^8*d^5*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 1008*(b*x*e + a*e)^5*B*a*b^9*c^7*d^6*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 3528*(b*x*e + a*e)^5*B*a^2*b^8*c^6*d^7*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 7056*(b*x*e + a*e)^5*B*a^3*b^7*c^5*d^8*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 8820*(b*x*e + a*e)^5*B*a^4*b^6*c^4*d^9*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 7056*(b*x*e + a*e)^5*B*a^5*b^5*c^3*d^10*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 3528*(b*x*e + a*e)^5*B*a^6*b^4*c^2*d^11*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 1008*(b*x*e + a*e)^5*B*a^7*b^3*c*d^12*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 126*(b*x*e + a*e)^5*B*a^8*b^2*d^13*g^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 42*(b*x*e + a*e)^6*B*b^9*c^8*d^6*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 336*(b*x*e + a*e)^6*B*a*b^8*c^7*d^7*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 1176*(b*x*e + a*e)^6*B*a^2*b^7*c^6*d^8*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 2352*(b*x*e + a*e)^6*B*a^3*b^6*c^5*d^9*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 2940*(b*x*e + a*e)^6*B*a^4*b^5*c^4*d^10*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 2352*(b*x*e + a*e)^6*B*a^5*b^4*c^3*d^11*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 1176*(b*x*e + a*e)^6*B*a^6*b^3*c^2*d^12*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 336*(b*x*e + a*e)^6*B*a^7*b^2*c*d^13*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 42*(b*x*e + a*e)^6*B*a^8*b*d^14*g^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 6*(b*x*e + a*e)^7*B*b^8*c^8*d^7*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^7 + 48*(b*x*e + a*e)^7*B*a*b^7*c^7*d^8*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^7 - 168*(b*x*e + a*e)^7*B*a^2*b^6*c^6*d^9*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^7 + 336*(b*x*e + a*e)^7*B*a^3*b^5*c^5*d^10*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^7 - 420*(b*x*e + a*e)^7*B*a^4*b^4*c^4*d^11*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^7 + 336*(b*x*e + a*e)^7*B*a^5*b^3*c^3*d^12*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^7 - 168*(b*x*e + a*e)^7*B*a^6*b^2*c^2*d^13*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^7 + 48*(b*x*e + a*e)^7*B*a^7*b*c*d^14*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^7 - 6*(b*x*e + a*e)^7*B*a^8*d^15*g^3*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^7 - 210*(b*x*e + a*e)^4*B*b^11*c^8*d^4*g^3*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 1680*(b*x*e + a*e)^4*B*a*b^10*c^7*d^5*g^3*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 5880*(b*x*e + a*e)^4*B*a^2*b^9*c^6*d^6*g^3*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 11760*(b*x*e + a*e)^4*B*a^3*b^8*c^5*d^7*g^3*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 14700*(b*x*e + a*e)^4*B*a^4*b^7*c^4*d^8*g^3*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 11760*(b*x*e + a*e)^4*B*a^5*b^6*c^3*d^9*g^3*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 5880*(b*x*e + a*e)^4*B*a^6*b^5*c^2*d^10*g^3*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 1680*(b*x*e + a*e)^4*B*a^7*b^4*c*d^11*g^3*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 210*(b*x*e + a*e)^4*B*a^8*b^3*d^12*g^3*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 126*(b*x*e + a*e)^5*B*b^10*c^8*d^5*g^3*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 1008*(b*x*e + a*e)^5*B*a*b^9*c^7*d^6*g^3*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 3528*(b*x*e + a*e)^5*B*a^2*b^8*c^6*d^7*g^3*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 7056*(b*x*e + a*e)^5*B*a^3*b^7*c^5*d^8*g^3*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 8820*(b*x*e + a*e)^5*B*a^4*b^6*c^4*d^9*g^3*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 7056*(b*x*e + a*e)^5*B*a^5*b^5*c^3*d^10*g^3*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 3528*(b*x*e + a*e)^5*B*a^6*b^4*c^2*d^11*g^3*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 1008*(b*x*e + a*e)^5*B*a^7*b^3*c*d^12*g^3*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 126*(b*x*e + a*e)^5*B*a^8*b^2*d^13*g^3*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 42*(b*x*e + a*e)^6*B*b^9*c^8*d^6*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 336*(b*x*e + a*e)^6*B*a*b^8*c^7*d^7*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 - 1176*(b*x*e + a*e)^6*B*a^2*b^7*c^6*d^8*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 2352*(b*x*e + a*e)^6*B*a^3*b^6*c^5*d^9*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 - 2940*(b*x*e + a*e)^6*B*a^4*b^5*c^4*d^10*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 2352*(b*x*e + a*e)^6*B*a^5*b^4*c^3*d^11*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 - 1176*(b*x*e + a*e)^6*B*a^6*b^3*c^2*d^12*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 336*(b*x*e + a*e)^6*B*a^7*b^2*c*d^13*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 - 42*(b*x*e + a*e)^6*B*a^8*b*d^14*g^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 6*(b*x*e + a*e)^7*B*b^8*c^8*d^7*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^7 - 48*(b*x*e + a*e)^7*B*a*b^7*c^7*d^8*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^7 + 168*(b*x*e + a*e)^7*B*a^2*b^6*c^6*d^9*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^7 - 336*(b*x*e + a*e)^7*B*a^3*b^5*c^5*d^10*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^7 + 420*(b*x*e + a*e)^7*B*a^4*b^4*c^4*d^11*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^7 - 336*(b*x*e + a*e)^7*B*a^5*b^3*c^3*d^12*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^7 + 168*(b*x*e + a*e)^7*B*a^6*b^2*c^2*d^13*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^7 - 48*(b*x*e + a*e)^7*B*a^7*b*c*d^14*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^7 + 6*(b*x*e + a*e)^7*B*a^8*d^15*g^3*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^7 + 6*A*b^15*c^8*g^3*i*e^8 - 48*A*a*b^14*c^7*d*g^3*i*e^8 + 168*A*a^2*b^13*c^6*d^2*g^3*i*e^8 - 336*A*a^3*b^12*c^5*d^3*g^3*i*e^8 + 420*A*a^4*b^11*c^4*d^4*g^3*i*e^8 - 336*A*a^5*b^10*c^3*d^5*g^3*i*e^8 + 168*A*a^6*b^9*c^2*d^6*g^3*i*e^8 - 48*A*a^7*b^8*c*d^7*g^3*i*e^8 + 6*A*a^8*b^7*d^8*g^3*i*e^8 - 42*(b*x*e + a*e)*A*b^14*c^8*d*g^3*i*e^7/(d*x + c) + 6*(b*x*e + a*e)*B*b^14*c^8*d*g^3*i*e^7/(d*x + c) + 336*(b*x*e + a*e)*A*a*b^13*c^7*d^2*g^3*i*e^7/(d*x + c) - 48*(b*x*e + a*e)*B*a*b^13*c^7*d^2*g^3*i*e^7/(d*x + c) - 1176*(b*x*e + a*e)*A*a^2*b^12*c^6*d^3*g^3*i*e^7/(d*x + c) + 168*(b*x*e + a*e)*B*a^2*b^12*c^6*d^3*g^3*i*e^7/(d*x + c) + 2352*(b*x*e + a*e)*A*a^3*b^11*c^5*d^4*g^3*i*e^7/(d*x + c) - 336*(b*x*e + a*e)*B*a^3*b^11*c^5*d^4*g^3*i*e^7/(d*x + c) - 2940*(b*x*e + a*e)*A*a^4*b^10*c^4*d^5*g^3*i*e^7/(d*x + c) + 420*(b*x*e + a*e)*B*a^4*b^10*c^4*d^5*g^3*i*e^7/(d*x + c) + 2352*(b*x*e + a*e)*A*a^5*b^9*c^3*d^6*g^3*i*e^7/(d*x + c) - 336*(b*x*e + a*e)*B*a^5*b^9*c^3*d^6*g^3*i*e^7/(d*x + c) - 1176*(b*x*e + a*e)*A*a^6*b^8*c^2*d^7*g^3*i*e^7/(d*x + c) + 168*(b*x*e + a*e)*B*a^6*b^8*c^2*d^7*g^3*i*e^7/(d*x + c) + 336*(b*x*e + a*e)*A*a^7*b^7*c*d^8*g^3*i*e^7/(d*x + c) - 48*(b*x*e + a*e)*B*a^7*b^7*c*d^8*g^3*i*e^7/(d*x + c) - 42*(b*x*e + a*e)*A*a^8*b^6*d^9*g^3*i*e^7/(d*x + c) + 6*(b*x*e + a*e)*B*a^8*b^6*d^9*g^3*i*e^7/(d*x + c) + 126*(b*x*e + a*e)^2*A*b^13*c^8*d^2*g^3*i*e^6/(d*x + c)^2 - 39*(b*x*e + a*e)^2*B*b^13*c^8*d^2*g^3*i*e^6/(d*x + c)^2 - 1008*(b*x*e + a*e)^2*A*a*b^12*c^7*d^3*g^3*i*e^6/(d*x + c)^2 + 312*(b*x*e + a*e)^2*B*a*b^12*c^7*d^3*g^3*i*e^6/(d*x + c)^2 + 3528*(b*x*e + a*e)^2*A*a^2*b^11*c^6*d^4*g^3*i*e^6/(d*x + c)^2 - 1092*(b*x*e + a*e)^2*B*a^2*b^11*c^6*d^4*g^3*i*e^6/(d*x + c)^2 - 7056*(b*x*e + a*e)^2*A*a^3*b^10*c^5*d^5*g^3*i*e^6/(d*x + c)^2 + 2184*(b*x*e + a*e)^2*B*a^3*b^10*c^5*d^5*g^3*i*e^6/(d*x + c)^2 + 8820*(b*x*e + a*e)^2*A*a^4*b^9*c^4*d^6*g^3*i*e^6/(d*x + c)^2 - 2730*(b*x*e + a*e)^2*B*a^4*b^9*c^4*d^6*g^3*i*e^6/(d*x + c)^2 - 7056*(b*x*e + a*e)^2*A*a^5*b^8*c^3*d^7*g^3*i*e^6/(d*x + c)^2 + 2184*(b*x*e + a*e)^2*B*a^5*b^8*c^3*d^7*g^3*i*e^6/(d*x + c)^2 + 3528*(b*x*e + a*e)^2*A*a^6*b^7*c^2*d^8*g^3*i*e^6/(d*x + c)^2 - 1092*(b*x*e + a*e)^2*B*a^6*b^7*c^2*d^8*g^3*i*e^6/(d*x + c)^2 - 1008*(b*x*e + a*e)^2*A*a^7*b^6*c*d^9*g^3*i*e^6/(d*x + c)^2 + 312*(b*x*e + a*e)^2*B*a^7*b^6*c*d^9*g^3*i*e^6/(d*x + c)^2 + 126*(b*x*e + a*e)^2*A*a^8*b^5*d^10*g^3*i*e^6/(d*x + c)^2 - 39*(b*x*e + a*e)^2*B*a^8*b^5*d^10*g^3*i*e^6/(d*x + c)^2 - 210*(b*x*e + a*e)^3*A*b^12*c^8*d^3*g^3*i*e^5/(d*x + c)^3 + 107*(b*x*e + a*e)^3*B*b^12*c^8*d^3*g^3*i*e^5/(d*x + c)^3 + 1680*(b*x*e + a*e)^3*A*a*b^11*c^7*d^4*g^3*i*e^5/(d*x + c)^3 - 856*(b*x*e + a*e)^3*B*a*b^11*c^7*d^4*g^3*i*e^5/(d*x + c)^3 - 5880*(b*x*e + a*e)^3*A*a^2*b^10*c^6*d^5*g^3*i*e^5/(d*x + c)^3 + 2996*(b*x*e + a*e)^3*B*a^2*b^10*c^6*d^5*g^3*i*e^5/(d*x + c)^3 + 11760*(b*x*e + a*e)^3*A*a^3*b^9*c^5*d^6*g^3*i*e^5/(d*x + c)^3 - 5992*(b*x*e + a*e)^3*B*a^3*b^9*c^5*d^6*g^3*i*e^5/(d*x + c)^3 - 14700*(b*x*e + a*e)^3*A*a^4*b^8*c^4*d^7*g^3*i*e^5/(d*x + c)^3 + 7490*(b*x*e + a*e)^3*B*a^4*b^8*c^4*d^7*g^3*i*e^5/(d*x + c)^3 + 11760*(b*x*e + a*e)^3*A*a^5*b^7*c^3*d^8*g^3*i*e^5/(d*x + c)^3 - 5992*(b*x*e + a*e)^3*B*a^5*b^7*c^3*d^8*g^3*i*e^5/(d*x + c)^3 - 5880*(b*x*e + a*e)^3*A*a^6*b^6*c^2*d^9*g^3*i*e^5/(d*x + c)^3 + 2996*(b*x*e + a*e)^3*B*a^6*b^6*c^2*d^9*g^3*i*e^5/(d*x + c)^3 + 1680*(b*x*e + a*e)^3*A*a^7*b^5*c*d^10*g^3*i*e^5/(d*x + c)^3 - 856*(b*x*e + a*e)^3*B*a^7*b^5*c*d^10*g^3*i*e^5/(d*x + c)^3 - 210*(b*x*e + a*e)^3*A*a^8*b^4*d^11*g^3*i*e^5/(d*x + c)^3 + 107*(b*x*e + a*e)^3*B*a^8*b^4*d^11*g^3*i*e^5/(d*x + c)^3 - 107*(b*x*e + a*e)^4*B*b^11*c^8*d^4*g^3*i*e^4/(d*x + c)^4 + 856*(b*x*e + a*e)^4*B*a*b^10*c^7*d^5*g^3*i*e^4/(d*x + c)^4 - 2996*(b*x*e + a*e)^4*B*a^2*b^9*c^6*d^6*g^3*i*e^4/(d*x + c)^4 + 5992*(b*x*e + a*e)^4*B*a^3*b^8*c^5*d^7*g^3*i*e^4/(d*x + c)^4 - 7490*(b*x*e + a*e)^4*B*a^4*b^7*c^4*d^8*g^3*i*e^4/(d*x + c)^4 + 5992*(b*x*e + a*e)^4*B*a^5*b^6*c^3*d^9*g^3*i*e^4/(d*x + c)^4 - 2996*(b*x*e + a*e)^4*B*a^6*b^5*c^2*d^10*g^3*i*e^4/(d*x + c)^4 + 856*(b*x*e + a*e)^4*B*a^7*b^4*c*d^11*g^3*i*e^4/(d*x + c)^4 - 107*(b*x*e + a*e)^4*B*a^8*b^3*d^12*g^3*i*e^4/(d*x + c)^4 + 39*(b*x*e + a*e)^5*B*b^10*c^8*d^5*g^3*i*e^3/(d*x + c)^5 - 312*(b*x*e + a*e)^5*B*a*b^9*c^7*d^6*g^3*i*e^3/(d*x + c)^5 + 1092*(b*x*e + a*e)^5*B*a^2*b^8*c^6*d^7*g^3*i*e^3/(d*x + c)^5 - 2184*(b*x*e + a*e)^5*B*a^3*b^7*c^5*d^8*g^3*i*e^3/(d*x + c)^5 + 2730*(b*x*e + a*e)^5*B*a^4*b^6*c^4*d^9*g^3*i*e^3/(d*x + c)^5 - 2184*(b*x*e + a*e)^5*B*a^5*b^5*c^3*d^10*g^3*i*e^3/(d*x + c)^5 + 1092*(b*x*e + a*e)^5*B*a^6*b^4*c^2*d^11*g^3*i*e^3/(d*x + c)^5 - 312*(b*x*e + a*e)^5*B*a^7*b^3*c*d^12*g^3*i*e^3/(d*x + c)^5 + 39*(b*x*e + a*e)^5*B*a^8*b^2*d^13*g^3*i*e^3/(d*x + c)^5 - 6*(b*x*e + a*e)^6*B*b^9*c^8*d^6*g^3*i*e^2/(d*x + c)^6 + 48*(b*x*e + a*e)^6*B*a*b^8*c^7*d^7*g^3*i*e^2/(d*x + c)^6 - 168*(b*x*e + a*e)^6*B*a^2*b^7*c^6*d^8*g^3*i*e^2/(d*x + c)^6 + 336*(b*x*e + a*e)^6*B*a^3*b^6*c^5*d^9*g^3*i*e^2/(d*x + c)^6 - 420*(b*x*e + a*e)^6*B*a^4*b^5*c^4*d^10*g^3*i*e^2/(d*x + c)^6 + 336*(b*x*e + a*e)^6*B*a^5*b^4*c^3*d^11*g^3*i*e^2/(d*x + c)^6 - 168*(b*x*e + a*e)^6*B*a^6*b^3*c^2*d^12*g^3*i*e^2/(d*x + c)^6 + 48*(b*x*e + a*e)^6*B*a^7*b^2*c*d^13*g^3*i*e^2/(d*x + c)^6 - 6*(b*x*e + a*e)^6*B*a^8*b*d^14*g^3*i*e^2/(d*x + c)^6)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^11*d^4*e^7 - 7*(b*x*e + a*e)*b^10*d^5*e^6/(d*x + c) + 21*(b*x*e + a*e)^2*b^9*d^6*e^5/(d*x + c)^2 - 35*(b*x*e + a*e)^3*b^8*d^7*e^4/(d*x + c)^3 + 35*(b*x*e + a*e)^4*b^7*d^8*e^3/(d*x + c)^4 - 21*(b*x*e + a*e)^5*b^6*d^9*e^2/(d*x + c)^5 + 7*(b*x*e + a*e)^6*b^5*d^10*e/(d*x + c)^6 - (b*x*e + a*e)^7*b^4*d^11/(d*x + c)^7)","B",0
21,1,7963,0,1.974867," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","-\frac{{\left(6 \, B b^{13} c^{7} g^{2} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 42 \, B a b^{12} c^{6} d g^{2} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 126 \, B a^{2} b^{11} c^{5} d^{2} g^{2} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 210 \, B a^{3} b^{10} c^{4} d^{3} g^{2} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 210 \, B a^{4} b^{9} c^{3} d^{4} g^{2} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 126 \, B a^{5} b^{8} c^{2} d^{5} g^{2} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 42 \, B a^{6} b^{7} c d^{6} g^{2} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 6 \, B a^{7} b^{6} d^{7} g^{2} i e^{7} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{36 \, {\left(b x e + a e\right)} B b^{12} c^{7} d g^{2} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{252 \, {\left(b x e + a e\right)} B a b^{11} c^{6} d^{2} g^{2} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{756 \, {\left(b x e + a e\right)} B a^{2} b^{10} c^{5} d^{3} g^{2} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{1260 \, {\left(b x e + a e\right)} B a^{3} b^{9} c^{4} d^{4} g^{2} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{1260 \, {\left(b x e + a e\right)} B a^{4} b^{8} c^{3} d^{5} g^{2} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{756 \, {\left(b x e + a e\right)} B a^{5} b^{7} c^{2} d^{6} g^{2} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{252 \, {\left(b x e + a e\right)} B a^{6} b^{6} c d^{7} g^{2} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{36 \, {\left(b x e + a e\right)} B a^{7} b^{5} d^{8} g^{2} i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{90 \, {\left(b x e + a e\right)}^{2} B b^{11} c^{7} d^{2} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{630 \, {\left(b x e + a e\right)}^{2} B a b^{10} c^{6} d^{3} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{1890 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{9} c^{5} d^{4} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{3150 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{8} c^{4} d^{5} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{3150 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{7} c^{3} d^{6} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{1890 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{6} c^{2} d^{7} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{630 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{5} c d^{8} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{90 \, {\left(b x e + a e\right)}^{2} B a^{7} b^{4} d^{9} g^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{3} B b^{10} c^{7} d^{3} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{840 \, {\left(b x e + a e\right)}^{3} B a b^{9} c^{6} d^{4} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{2520 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{8} c^{5} d^{5} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{4200 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{7} c^{4} d^{6} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{4200 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{6} c^{3} d^{7} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{2520 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{5} c^{2} d^{8} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{840 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{4} c d^{9} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x e + a e\right)}^{3} B a^{7} b^{3} d^{10} g^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{90 \, {\left(b x e + a e\right)}^{4} B b^{9} c^{7} d^{4} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{630 \, {\left(b x e + a e\right)}^{4} B a b^{8} c^{6} d^{5} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{1890 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{7} c^{5} d^{6} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{3150 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{6} c^{4} d^{7} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{3150 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{5} c^{3} d^{8} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{1890 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{4} c^{2} d^{9} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{630 \, {\left(b x e + a e\right)}^{4} B a^{6} b^{3} c d^{10} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{90 \, {\left(b x e + a e\right)}^{4} B a^{7} b^{2} d^{11} g^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{36 \, {\left(b x e + a e\right)}^{5} B b^{8} c^{7} d^{5} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{252 \, {\left(b x e + a e\right)}^{5} B a b^{7} c^{6} d^{6} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{756 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{6} c^{5} d^{7} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{1260 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{5} c^{4} d^{8} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{1260 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{4} c^{3} d^{9} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{756 \, {\left(b x e + a e\right)}^{5} B a^{5} b^{3} c^{2} d^{10} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{252 \, {\left(b x e + a e\right)}^{5} B a^{6} b^{2} c d^{11} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{36 \, {\left(b x e + a e\right)}^{5} B a^{7} b d^{12} g^{2} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{6 \, {\left(b x e + a e\right)}^{6} B b^{7} c^{7} d^{6} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{42 \, {\left(b x e + a e\right)}^{6} B a b^{6} c^{6} d^{7} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{126 \, {\left(b x e + a e\right)}^{6} B a^{2} b^{5} c^{5} d^{8} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{210 \, {\left(b x e + a e\right)}^{6} B a^{3} b^{4} c^{4} d^{9} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{210 \, {\left(b x e + a e\right)}^{6} B a^{4} b^{3} c^{3} d^{10} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{126 \, {\left(b x e + a e\right)}^{6} B a^{5} b^{2} c^{2} d^{11} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{42 \, {\left(b x e + a e\right)}^{6} B a^{6} b c d^{12} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{6 \, {\left(b x e + a e\right)}^{6} B a^{7} d^{13} g^{2} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{120 \, {\left(b x e + a e\right)}^{3} B b^{10} c^{7} d^{3} g^{2} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{840 \, {\left(b x e + a e\right)}^{3} B a b^{9} c^{6} d^{4} g^{2} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{2520 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{8} c^{5} d^{5} g^{2} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{4200 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{7} c^{4} d^{6} g^{2} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{4200 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{6} c^{3} d^{7} g^{2} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{2520 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{5} c^{2} d^{8} g^{2} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{840 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{4} c d^{9} g^{2} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x e + a e\right)}^{3} B a^{7} b^{3} d^{10} g^{2} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{90 \, {\left(b x e + a e\right)}^{4} B b^{9} c^{7} d^{4} g^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{630 \, {\left(b x e + a e\right)}^{4} B a b^{8} c^{6} d^{5} g^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{1890 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{7} c^{5} d^{6} g^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{3150 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{6} c^{4} d^{7} g^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{3150 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{5} c^{3} d^{8} g^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{1890 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{4} c^{2} d^{9} g^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{630 \, {\left(b x e + a e\right)}^{4} B a^{6} b^{3} c d^{10} g^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{90 \, {\left(b x e + a e\right)}^{4} B a^{7} b^{2} d^{11} g^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{36 \, {\left(b x e + a e\right)}^{5} B b^{8} c^{7} d^{5} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{252 \, {\left(b x e + a e\right)}^{5} B a b^{7} c^{6} d^{6} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{756 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{6} c^{5} d^{7} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{1260 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{5} c^{4} d^{8} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{1260 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{4} c^{3} d^{9} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{756 \, {\left(b x e + a e\right)}^{5} B a^{5} b^{3} c^{2} d^{10} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{252 \, {\left(b x e + a e\right)}^{5} B a^{6} b^{2} c d^{11} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{36 \, {\left(b x e + a e\right)}^{5} B a^{7} b d^{12} g^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{6 \, {\left(b x e + a e\right)}^{6} B b^{7} c^{7} d^{6} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{42 \, {\left(b x e + a e\right)}^{6} B a b^{6} c^{6} d^{7} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{126 \, {\left(b x e + a e\right)}^{6} B a^{2} b^{5} c^{5} d^{8} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{210 \, {\left(b x e + a e\right)}^{6} B a^{3} b^{4} c^{4} d^{9} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{210 \, {\left(b x e + a e\right)}^{6} B a^{4} b^{3} c^{3} d^{10} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{126 \, {\left(b x e + a e\right)}^{6} B a^{5} b^{2} c^{2} d^{11} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} - \frac{42 \, {\left(b x e + a e\right)}^{6} B a^{6} b c d^{12} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + \frac{6 \, {\left(b x e + a e\right)}^{6} B a^{7} d^{13} g^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{6}} + 6 \, A b^{13} c^{7} g^{2} i e^{7} - 2 \, B b^{13} c^{7} g^{2} i e^{7} - 42 \, A a b^{12} c^{6} d g^{2} i e^{7} + 14 \, B a b^{12} c^{6} d g^{2} i e^{7} + 126 \, A a^{2} b^{11} c^{5} d^{2} g^{2} i e^{7} - 42 \, B a^{2} b^{11} c^{5} d^{2} g^{2} i e^{7} - 210 \, A a^{3} b^{10} c^{4} d^{3} g^{2} i e^{7} + 70 \, B a^{3} b^{10} c^{4} d^{3} g^{2} i e^{7} + 210 \, A a^{4} b^{9} c^{3} d^{4} g^{2} i e^{7} - 70 \, B a^{4} b^{9} c^{3} d^{4} g^{2} i e^{7} - 126 \, A a^{5} b^{8} c^{2} d^{5} g^{2} i e^{7} + 42 \, B a^{5} b^{8} c^{2} d^{5} g^{2} i e^{7} + 42 \, A a^{6} b^{7} c d^{6} g^{2} i e^{7} - 14 \, B a^{6} b^{7} c d^{6} g^{2} i e^{7} - 6 \, A a^{7} b^{6} d^{7} g^{2} i e^{7} + 2 \, B a^{7} b^{6} d^{7} g^{2} i e^{7} - \frac{36 \, {\left(b x e + a e\right)} A b^{12} c^{7} d g^{2} i e^{6}}{d x + c} + \frac{18 \, {\left(b x e + a e\right)} B b^{12} c^{7} d g^{2} i e^{6}}{d x + c} + \frac{252 \, {\left(b x e + a e\right)} A a b^{11} c^{6} d^{2} g^{2} i e^{6}}{d x + c} - \frac{126 \, {\left(b x e + a e\right)} B a b^{11} c^{6} d^{2} g^{2} i e^{6}}{d x + c} - \frac{756 \, {\left(b x e + a e\right)} A a^{2} b^{10} c^{5} d^{3} g^{2} i e^{6}}{d x + c} + \frac{378 \, {\left(b x e + a e\right)} B a^{2} b^{10} c^{5} d^{3} g^{2} i e^{6}}{d x + c} + \frac{1260 \, {\left(b x e + a e\right)} A a^{3} b^{9} c^{4} d^{4} g^{2} i e^{6}}{d x + c} - \frac{630 \, {\left(b x e + a e\right)} B a^{3} b^{9} c^{4} d^{4} g^{2} i e^{6}}{d x + c} - \frac{1260 \, {\left(b x e + a e\right)} A a^{4} b^{8} c^{3} d^{5} g^{2} i e^{6}}{d x + c} + \frac{630 \, {\left(b x e + a e\right)} B a^{4} b^{8} c^{3} d^{5} g^{2} i e^{6}}{d x + c} + \frac{756 \, {\left(b x e + a e\right)} A a^{5} b^{7} c^{2} d^{6} g^{2} i e^{6}}{d x + c} - \frac{378 \, {\left(b x e + a e\right)} B a^{5} b^{7} c^{2} d^{6} g^{2} i e^{6}}{d x + c} - \frac{252 \, {\left(b x e + a e\right)} A a^{6} b^{6} c d^{7} g^{2} i e^{6}}{d x + c} + \frac{126 \, {\left(b x e + a e\right)} B a^{6} b^{6} c d^{7} g^{2} i e^{6}}{d x + c} + \frac{36 \, {\left(b x e + a e\right)} A a^{7} b^{5} d^{8} g^{2} i e^{6}}{d x + c} - \frac{18 \, {\left(b x e + a e\right)} B a^{7} b^{5} d^{8} g^{2} i e^{6}}{d x + c} + \frac{90 \, {\left(b x e + a e\right)}^{2} A b^{11} c^{7} d^{2} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} - \frac{63 \, {\left(b x e + a e\right)}^{2} B b^{11} c^{7} d^{2} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} - \frac{630 \, {\left(b x e + a e\right)}^{2} A a b^{10} c^{6} d^{3} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{441 \, {\left(b x e + a e\right)}^{2} B a b^{10} c^{6} d^{3} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{1890 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{9} c^{5} d^{4} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} - \frac{1323 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{9} c^{5} d^{4} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} - \frac{3150 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{8} c^{4} d^{5} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{2205 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{8} c^{4} d^{5} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{3150 \, {\left(b x e + a e\right)}^{2} A a^{4} b^{7} c^{3} d^{6} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} - \frac{2205 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{7} c^{3} d^{6} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} - \frac{1890 \, {\left(b x e + a e\right)}^{2} A a^{5} b^{6} c^{2} d^{7} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{1323 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{6} c^{2} d^{7} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{630 \, {\left(b x e + a e\right)}^{2} A a^{6} b^{5} c d^{8} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} - \frac{441 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{5} c d^{8} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} - \frac{90 \, {\left(b x e + a e\right)}^{2} A a^{7} b^{4} d^{9} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{63 \, {\left(b x e + a e\right)}^{2} B a^{7} b^{4} d^{9} g^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{74 \, {\left(b x e + a e\right)}^{3} B b^{10} c^{7} d^{3} g^{2} i e^{4}}{{\left(d x + c\right)}^{3}} - \frac{518 \, {\left(b x e + a e\right)}^{3} B a b^{9} c^{6} d^{4} g^{2} i e^{4}}{{\left(d x + c\right)}^{3}} + \frac{1554 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{8} c^{5} d^{5} g^{2} i e^{4}}{{\left(d x + c\right)}^{3}} - \frac{2590 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{7} c^{4} d^{6} g^{2} i e^{4}}{{\left(d x + c\right)}^{3}} + \frac{2590 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{6} c^{3} d^{7} g^{2} i e^{4}}{{\left(d x + c\right)}^{3}} - \frac{1554 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{5} c^{2} d^{8} g^{2} i e^{4}}{{\left(d x + c\right)}^{3}} + \frac{518 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{4} c d^{9} g^{2} i e^{4}}{{\left(d x + c\right)}^{3}} - \frac{74 \, {\left(b x e + a e\right)}^{3} B a^{7} b^{3} d^{10} g^{2} i e^{4}}{{\left(d x + c\right)}^{3}} - \frac{33 \, {\left(b x e + a e\right)}^{4} B b^{9} c^{7} d^{4} g^{2} i e^{3}}{{\left(d x + c\right)}^{4}} + \frac{231 \, {\left(b x e + a e\right)}^{4} B a b^{8} c^{6} d^{5} g^{2} i e^{3}}{{\left(d x + c\right)}^{4}} - \frac{693 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{7} c^{5} d^{6} g^{2} i e^{3}}{{\left(d x + c\right)}^{4}} + \frac{1155 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{6} c^{4} d^{7} g^{2} i e^{3}}{{\left(d x + c\right)}^{4}} - \frac{1155 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{5} c^{3} d^{8} g^{2} i e^{3}}{{\left(d x + c\right)}^{4}} + \frac{693 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{4} c^{2} d^{9} g^{2} i e^{3}}{{\left(d x + c\right)}^{4}} - \frac{231 \, {\left(b x e + a e\right)}^{4} B a^{6} b^{3} c d^{10} g^{2} i e^{3}}{{\left(d x + c\right)}^{4}} + \frac{33 \, {\left(b x e + a e\right)}^{4} B a^{7} b^{2} d^{11} g^{2} i e^{3}}{{\left(d x + c\right)}^{4}} + \frac{6 \, {\left(b x e + a e\right)}^{5} B b^{8} c^{7} d^{5} g^{2} i e^{2}}{{\left(d x + c\right)}^{5}} - \frac{42 \, {\left(b x e + a e\right)}^{5} B a b^{7} c^{6} d^{6} g^{2} i e^{2}}{{\left(d x + c\right)}^{5}} + \frac{126 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{6} c^{5} d^{7} g^{2} i e^{2}}{{\left(d x + c\right)}^{5}} - \frac{210 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{5} c^{4} d^{8} g^{2} i e^{2}}{{\left(d x + c\right)}^{5}} + \frac{210 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{4} c^{3} d^{9} g^{2} i e^{2}}{{\left(d x + c\right)}^{5}} - \frac{126 \, {\left(b x e + a e\right)}^{5} B a^{5} b^{3} c^{2} d^{10} g^{2} i e^{2}}{{\left(d x + c\right)}^{5}} + \frac{42 \, {\left(b x e + a e\right)}^{5} B a^{6} b^{2} c d^{11} g^{2} i e^{2}}{{\left(d x + c\right)}^{5}} - \frac{6 \, {\left(b x e + a e\right)}^{5} B a^{7} b d^{12} g^{2} i e^{2}}{{\left(d x + c\right)}^{5}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{360 \, {\left(b^{10} d^{3} e^{6} - \frac{6 \, {\left(b x e + a e\right)} b^{9} d^{4} e^{5}}{d x + c} + \frac{15 \, {\left(b x e + a e\right)}^{2} b^{8} d^{5} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x e + a e\right)}^{3} b^{7} d^{6} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{15 \, {\left(b x e + a e\right)}^{4} b^{6} d^{7} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{5} b^{5} d^{8} e}{{\left(d x + c\right)}^{5}} + \frac{{\left(b x e + a e\right)}^{6} b^{4} d^{9}}{{\left(d x + c\right)}^{6}}\right)}}"," ",0,"-1/360*(6*B*b^13*c^7*g^2*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 42*B*a*b^12*c^6*d*g^2*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 126*B*a^2*b^11*c^5*d^2*g^2*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 210*B*a^3*b^10*c^4*d^3*g^2*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 210*B*a^4*b^9*c^3*d^4*g^2*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 126*B*a^5*b^8*c^2*d^5*g^2*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 42*B*a^6*b^7*c*d^6*g^2*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 6*B*a^7*b^6*d^7*g^2*i*e^7*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 36*(b*x*e + a*e)*B*b^12*c^7*d*g^2*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 252*(b*x*e + a*e)*B*a*b^11*c^6*d^2*g^2*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 756*(b*x*e + a*e)*B*a^2*b^10*c^5*d^3*g^2*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 1260*(b*x*e + a*e)*B*a^3*b^9*c^4*d^4*g^2*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 1260*(b*x*e + a*e)*B*a^4*b^8*c^3*d^5*g^2*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 756*(b*x*e + a*e)*B*a^5*b^7*c^2*d^6*g^2*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 252*(b*x*e + a*e)*B*a^6*b^6*c*d^7*g^2*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 36*(b*x*e + a*e)*B*a^7*b^5*d^8*g^2*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 90*(b*x*e + a*e)^2*B*b^11*c^7*d^2*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 630*(b*x*e + a*e)^2*B*a*b^10*c^6*d^3*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 1890*(b*x*e + a*e)^2*B*a^2*b^9*c^5*d^4*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 3150*(b*x*e + a*e)^2*B*a^3*b^8*c^4*d^5*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 3150*(b*x*e + a*e)^2*B*a^4*b^7*c^3*d^6*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 1890*(b*x*e + a*e)^2*B*a^5*b^6*c^2*d^7*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 630*(b*x*e + a*e)^2*B*a^6*b^5*c*d^8*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 90*(b*x*e + a*e)^2*B*a^7*b^4*d^9*g^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 120*(b*x*e + a*e)^3*B*b^10*c^7*d^3*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 840*(b*x*e + a*e)^3*B*a*b^9*c^6*d^4*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 2520*(b*x*e + a*e)^3*B*a^2*b^8*c^5*d^5*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 4200*(b*x*e + a*e)^3*B*a^3*b^7*c^4*d^6*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 4200*(b*x*e + a*e)^3*B*a^4*b^6*c^3*d^7*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 2520*(b*x*e + a*e)^3*B*a^5*b^5*c^2*d^8*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 840*(b*x*e + a*e)^3*B*a^6*b^4*c*d^9*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 120*(b*x*e + a*e)^3*B*a^7*b^3*d^10*g^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 90*(b*x*e + a*e)^4*B*b^9*c^7*d^4*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 630*(b*x*e + a*e)^4*B*a*b^8*c^6*d^5*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 1890*(b*x*e + a*e)^4*B*a^2*b^7*c^5*d^6*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 3150*(b*x*e + a*e)^4*B*a^3*b^6*c^4*d^7*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 3150*(b*x*e + a*e)^4*B*a^4*b^5*c^3*d^8*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 1890*(b*x*e + a*e)^4*B*a^5*b^4*c^2*d^9*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 630*(b*x*e + a*e)^4*B*a^6*b^3*c*d^10*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 90*(b*x*e + a*e)^4*B*a^7*b^2*d^11*g^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 36*(b*x*e + a*e)^5*B*b^8*c^7*d^5*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 252*(b*x*e + a*e)^5*B*a*b^7*c^6*d^6*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 756*(b*x*e + a*e)^5*B*a^2*b^6*c^5*d^7*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 1260*(b*x*e + a*e)^5*B*a^3*b^5*c^4*d^8*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 1260*(b*x*e + a*e)^5*B*a^4*b^4*c^3*d^9*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 756*(b*x*e + a*e)^5*B*a^5*b^3*c^2*d^10*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 252*(b*x*e + a*e)^5*B*a^6*b^2*c*d^11*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 36*(b*x*e + a*e)^5*B*a^7*b*d^12*g^2*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 6*(b*x*e + a*e)^6*B*b^7*c^7*d^6*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 42*(b*x*e + a*e)^6*B*a*b^6*c^6*d^7*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 126*(b*x*e + a*e)^6*B*a^2*b^5*c^5*d^8*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 210*(b*x*e + a*e)^6*B*a^3*b^4*c^4*d^9*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 210*(b*x*e + a*e)^6*B*a^4*b^3*c^3*d^10*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 126*(b*x*e + a*e)^6*B*a^5*b^2*c^2*d^11*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 42*(b*x*e + a*e)^6*B*a^6*b*c*d^12*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 - 6*(b*x*e + a*e)^6*B*a^7*d^13*g^2*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^6 + 120*(b*x*e + a*e)^3*B*b^10*c^7*d^3*g^2*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 840*(b*x*e + a*e)^3*B*a*b^9*c^6*d^4*g^2*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 2520*(b*x*e + a*e)^3*B*a^2*b^8*c^5*d^5*g^2*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 4200*(b*x*e + a*e)^3*B*a^3*b^7*c^4*d^6*g^2*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 4200*(b*x*e + a*e)^3*B*a^4*b^6*c^3*d^7*g^2*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 2520*(b*x*e + a*e)^3*B*a^5*b^5*c^2*d^8*g^2*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 840*(b*x*e + a*e)^3*B*a^6*b^4*c*d^9*g^2*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 120*(b*x*e + a*e)^3*B*a^7*b^3*d^10*g^2*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 90*(b*x*e + a*e)^4*B*b^9*c^7*d^4*g^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 630*(b*x*e + a*e)^4*B*a*b^8*c^6*d^5*g^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 1890*(b*x*e + a*e)^4*B*a^2*b^7*c^5*d^6*g^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 3150*(b*x*e + a*e)^4*B*a^3*b^6*c^4*d^7*g^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 3150*(b*x*e + a*e)^4*B*a^4*b^5*c^3*d^8*g^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 1890*(b*x*e + a*e)^4*B*a^5*b^4*c^2*d^9*g^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 630*(b*x*e + a*e)^4*B*a^6*b^3*c*d^10*g^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 90*(b*x*e + a*e)^4*B*a^7*b^2*d^11*g^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 36*(b*x*e + a*e)^5*B*b^8*c^7*d^5*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 252*(b*x*e + a*e)^5*B*a*b^7*c^6*d^6*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 756*(b*x*e + a*e)^5*B*a^2*b^6*c^5*d^7*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 1260*(b*x*e + a*e)^5*B*a^3*b^5*c^4*d^8*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 1260*(b*x*e + a*e)^5*B*a^4*b^4*c^3*d^9*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 756*(b*x*e + a*e)^5*B*a^5*b^3*c^2*d^10*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 252*(b*x*e + a*e)^5*B*a^6*b^2*c*d^11*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 36*(b*x*e + a*e)^5*B*a^7*b*d^12*g^2*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 6*(b*x*e + a*e)^6*B*b^7*c^7*d^6*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 42*(b*x*e + a*e)^6*B*a*b^6*c^6*d^7*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 - 126*(b*x*e + a*e)^6*B*a^2*b^5*c^5*d^8*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 210*(b*x*e + a*e)^6*B*a^3*b^4*c^4*d^9*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 - 210*(b*x*e + a*e)^6*B*a^4*b^3*c^3*d^10*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 126*(b*x*e + a*e)^6*B*a^5*b^2*c^2*d^11*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 - 42*(b*x*e + a*e)^6*B*a^6*b*c*d^12*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 6*(b*x*e + a*e)^6*B*a^7*d^13*g^2*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^6 + 6*A*b^13*c^7*g^2*i*e^7 - 2*B*b^13*c^7*g^2*i*e^7 - 42*A*a*b^12*c^6*d*g^2*i*e^7 + 14*B*a*b^12*c^6*d*g^2*i*e^7 + 126*A*a^2*b^11*c^5*d^2*g^2*i*e^7 - 42*B*a^2*b^11*c^5*d^2*g^2*i*e^7 - 210*A*a^3*b^10*c^4*d^3*g^2*i*e^7 + 70*B*a^3*b^10*c^4*d^3*g^2*i*e^7 + 210*A*a^4*b^9*c^3*d^4*g^2*i*e^7 - 70*B*a^4*b^9*c^3*d^4*g^2*i*e^7 - 126*A*a^5*b^8*c^2*d^5*g^2*i*e^7 + 42*B*a^5*b^8*c^2*d^5*g^2*i*e^7 + 42*A*a^6*b^7*c*d^6*g^2*i*e^7 - 14*B*a^6*b^7*c*d^6*g^2*i*e^7 - 6*A*a^7*b^6*d^7*g^2*i*e^7 + 2*B*a^7*b^6*d^7*g^2*i*e^7 - 36*(b*x*e + a*e)*A*b^12*c^7*d*g^2*i*e^6/(d*x + c) + 18*(b*x*e + a*e)*B*b^12*c^7*d*g^2*i*e^6/(d*x + c) + 252*(b*x*e + a*e)*A*a*b^11*c^6*d^2*g^2*i*e^6/(d*x + c) - 126*(b*x*e + a*e)*B*a*b^11*c^6*d^2*g^2*i*e^6/(d*x + c) - 756*(b*x*e + a*e)*A*a^2*b^10*c^5*d^3*g^2*i*e^6/(d*x + c) + 378*(b*x*e + a*e)*B*a^2*b^10*c^5*d^3*g^2*i*e^6/(d*x + c) + 1260*(b*x*e + a*e)*A*a^3*b^9*c^4*d^4*g^2*i*e^6/(d*x + c) - 630*(b*x*e + a*e)*B*a^3*b^9*c^4*d^4*g^2*i*e^6/(d*x + c) - 1260*(b*x*e + a*e)*A*a^4*b^8*c^3*d^5*g^2*i*e^6/(d*x + c) + 630*(b*x*e + a*e)*B*a^4*b^8*c^3*d^5*g^2*i*e^6/(d*x + c) + 756*(b*x*e + a*e)*A*a^5*b^7*c^2*d^6*g^2*i*e^6/(d*x + c) - 378*(b*x*e + a*e)*B*a^5*b^7*c^2*d^6*g^2*i*e^6/(d*x + c) - 252*(b*x*e + a*e)*A*a^6*b^6*c*d^7*g^2*i*e^6/(d*x + c) + 126*(b*x*e + a*e)*B*a^6*b^6*c*d^7*g^2*i*e^6/(d*x + c) + 36*(b*x*e + a*e)*A*a^7*b^5*d^8*g^2*i*e^6/(d*x + c) - 18*(b*x*e + a*e)*B*a^7*b^5*d^8*g^2*i*e^6/(d*x + c) + 90*(b*x*e + a*e)^2*A*b^11*c^7*d^2*g^2*i*e^5/(d*x + c)^2 - 63*(b*x*e + a*e)^2*B*b^11*c^7*d^2*g^2*i*e^5/(d*x + c)^2 - 630*(b*x*e + a*e)^2*A*a*b^10*c^6*d^3*g^2*i*e^5/(d*x + c)^2 + 441*(b*x*e + a*e)^2*B*a*b^10*c^6*d^3*g^2*i*e^5/(d*x + c)^2 + 1890*(b*x*e + a*e)^2*A*a^2*b^9*c^5*d^4*g^2*i*e^5/(d*x + c)^2 - 1323*(b*x*e + a*e)^2*B*a^2*b^9*c^5*d^4*g^2*i*e^5/(d*x + c)^2 - 3150*(b*x*e + a*e)^2*A*a^3*b^8*c^4*d^5*g^2*i*e^5/(d*x + c)^2 + 2205*(b*x*e + a*e)^2*B*a^3*b^8*c^4*d^5*g^2*i*e^5/(d*x + c)^2 + 3150*(b*x*e + a*e)^2*A*a^4*b^7*c^3*d^6*g^2*i*e^5/(d*x + c)^2 - 2205*(b*x*e + a*e)^2*B*a^4*b^7*c^3*d^6*g^2*i*e^5/(d*x + c)^2 - 1890*(b*x*e + a*e)^2*A*a^5*b^6*c^2*d^7*g^2*i*e^5/(d*x + c)^2 + 1323*(b*x*e + a*e)^2*B*a^5*b^6*c^2*d^7*g^2*i*e^5/(d*x + c)^2 + 630*(b*x*e + a*e)^2*A*a^6*b^5*c*d^8*g^2*i*e^5/(d*x + c)^2 - 441*(b*x*e + a*e)^2*B*a^6*b^5*c*d^8*g^2*i*e^5/(d*x + c)^2 - 90*(b*x*e + a*e)^2*A*a^7*b^4*d^9*g^2*i*e^5/(d*x + c)^2 + 63*(b*x*e + a*e)^2*B*a^7*b^4*d^9*g^2*i*e^5/(d*x + c)^2 + 74*(b*x*e + a*e)^3*B*b^10*c^7*d^3*g^2*i*e^4/(d*x + c)^3 - 518*(b*x*e + a*e)^3*B*a*b^9*c^6*d^4*g^2*i*e^4/(d*x + c)^3 + 1554*(b*x*e + a*e)^3*B*a^2*b^8*c^5*d^5*g^2*i*e^4/(d*x + c)^3 - 2590*(b*x*e + a*e)^3*B*a^3*b^7*c^4*d^6*g^2*i*e^4/(d*x + c)^3 + 2590*(b*x*e + a*e)^3*B*a^4*b^6*c^3*d^7*g^2*i*e^4/(d*x + c)^3 - 1554*(b*x*e + a*e)^3*B*a^5*b^5*c^2*d^8*g^2*i*e^4/(d*x + c)^3 + 518*(b*x*e + a*e)^3*B*a^6*b^4*c*d^9*g^2*i*e^4/(d*x + c)^3 - 74*(b*x*e + a*e)^3*B*a^7*b^3*d^10*g^2*i*e^4/(d*x + c)^3 - 33*(b*x*e + a*e)^4*B*b^9*c^7*d^4*g^2*i*e^3/(d*x + c)^4 + 231*(b*x*e + a*e)^4*B*a*b^8*c^6*d^5*g^2*i*e^3/(d*x + c)^4 - 693*(b*x*e + a*e)^4*B*a^2*b^7*c^5*d^6*g^2*i*e^3/(d*x + c)^4 + 1155*(b*x*e + a*e)^4*B*a^3*b^6*c^4*d^7*g^2*i*e^3/(d*x + c)^4 - 1155*(b*x*e + a*e)^4*B*a^4*b^5*c^3*d^8*g^2*i*e^3/(d*x + c)^4 + 693*(b*x*e + a*e)^4*B*a^5*b^4*c^2*d^9*g^2*i*e^3/(d*x + c)^4 - 231*(b*x*e + a*e)^4*B*a^6*b^3*c*d^10*g^2*i*e^3/(d*x + c)^4 + 33*(b*x*e + a*e)^4*B*a^7*b^2*d^11*g^2*i*e^3/(d*x + c)^4 + 6*(b*x*e + a*e)^5*B*b^8*c^7*d^5*g^2*i*e^2/(d*x + c)^5 - 42*(b*x*e + a*e)^5*B*a*b^7*c^6*d^6*g^2*i*e^2/(d*x + c)^5 + 126*(b*x*e + a*e)^5*B*a^2*b^6*c^5*d^7*g^2*i*e^2/(d*x + c)^5 - 210*(b*x*e + a*e)^5*B*a^3*b^5*c^4*d^8*g^2*i*e^2/(d*x + c)^5 + 210*(b*x*e + a*e)^5*B*a^4*b^4*c^3*d^9*g^2*i*e^2/(d*x + c)^5 - 126*(b*x*e + a*e)^5*B*a^5*b^3*c^2*d^10*g^2*i*e^2/(d*x + c)^5 + 42*(b*x*e + a*e)^5*B*a^6*b^2*c*d^11*g^2*i*e^2/(d*x + c)^5 - 6*(b*x*e + a*e)^5*B*a^7*b*d^12*g^2*i*e^2/(d*x + c)^5)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^10*d^3*e^6 - 6*(b*x*e + a*e)*b^9*d^4*e^5/(d*x + c) + 15*(b*x*e + a*e)^2*b^8*d^5*e^4/(d*x + c)^2 - 20*(b*x*e + a*e)^3*b^7*d^6*e^3/(d*x + c)^3 + 15*(b*x*e + a*e)^4*b^6*d^7*e^2/(d*x + c)^4 - 6*(b*x*e + a*e)^5*b^5*d^8*e/(d*x + c)^5 + (b*x*e + a*e)^6*b^4*d^9/(d*x + c)^6)","B",0
22,1,5710,0,1.439656," ","integrate((b*g*x+a*g)*(d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(6 \, B b^{11} c^{6} g i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 36 \, B a b^{10} c^{5} d g i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 90 \, B a^{2} b^{9} c^{4} d^{2} g i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 120 \, B a^{3} b^{8} c^{3} d^{3} g i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 90 \, B a^{4} b^{7} c^{2} d^{4} g i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 36 \, B a^{5} b^{6} c d^{5} g i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 6 \, B a^{6} b^{5} d^{6} g i e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{30 \, {\left(b x e + a e\right)} B b^{10} c^{6} d g i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{180 \, {\left(b x e + a e\right)} B a b^{9} c^{5} d^{2} g i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{450 \, {\left(b x e + a e\right)} B a^{2} b^{8} c^{4} d^{3} g i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{600 \, {\left(b x e + a e\right)} B a^{3} b^{7} c^{3} d^{4} g i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{450 \, {\left(b x e + a e\right)} B a^{4} b^{6} c^{2} d^{5} g i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{180 \, {\left(b x e + a e\right)} B a^{5} b^{5} c d^{6} g i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{30 \, {\left(b x e + a e\right)} B a^{6} b^{4} d^{7} g i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{60 \, {\left(b x e + a e\right)}^{2} B b^{9} c^{6} d^{2} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x e + a e\right)}^{2} B a b^{8} c^{5} d^{3} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{900 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{7} c^{4} d^{4} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{1200 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{6} c^{3} d^{5} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{900 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{5} c^{2} d^{6} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{4} c d^{7} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{3} d^{8} g i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x e + a e\right)}^{3} B b^{8} c^{6} d^{3} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x e + a e\right)}^{3} B a b^{7} c^{5} d^{4} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{900 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{6} c^{4} d^{5} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{1200 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{5} c^{3} d^{6} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{900 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{4} c^{2} d^{7} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{3} c d^{8} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{2} d^{9} g i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{30 \, {\left(b x e + a e\right)}^{4} B b^{7} c^{6} d^{4} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{180 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{450 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{600 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{450 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{180 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{30 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{5} B b^{6} c^{6} d^{5} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{36 \, {\left(b x e + a e\right)}^{5} B a b^{5} c^{5} d^{6} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{90 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{4} c^{4} d^{7} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{120 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{3} c^{3} d^{8} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{90 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{2} c^{2} d^{9} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{36 \, {\left(b x e + a e\right)}^{5} B a^{5} b c d^{10} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{6 \, {\left(b x e + a e\right)}^{5} B a^{6} d^{11} g i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{60 \, {\left(b x e + a e\right)}^{2} B b^{9} c^{6} d^{2} g i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x e + a e\right)}^{2} B a b^{8} c^{5} d^{3} g i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{900 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{7} c^{4} d^{4} g i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{1200 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{6} c^{3} d^{5} g i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{900 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{5} c^{2} d^{6} g i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{4} c d^{7} g i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{3} d^{8} g i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x e + a e\right)}^{3} B b^{8} c^{6} d^{3} g i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x e + a e\right)}^{3} B a b^{7} c^{5} d^{4} g i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{900 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{6} c^{4} d^{5} g i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{1200 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{5} c^{3} d^{6} g i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{900 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{4} c^{2} d^{7} g i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{3} c d^{8} g i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{60 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{2} d^{9} g i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{30 \, {\left(b x e + a e\right)}^{4} B b^{7} c^{6} d^{4} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{180 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{450 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{600 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{450 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{180 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{30 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{6 \, {\left(b x e + a e\right)}^{5} B b^{6} c^{6} d^{5} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{36 \, {\left(b x e + a e\right)}^{5} B a b^{5} c^{5} d^{6} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{90 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{4} c^{4} d^{7} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{120 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{3} c^{3} d^{8} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{90 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{2} c^{2} d^{9} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{36 \, {\left(b x e + a e\right)}^{5} B a^{5} b c d^{10} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{6 \, {\left(b x e + a e\right)}^{5} B a^{6} d^{11} g i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + 6 \, A b^{11} c^{6} g i e^{6} - 5 \, B b^{11} c^{6} g i e^{6} - 36 \, A a b^{10} c^{5} d g i e^{6} + 30 \, B a b^{10} c^{5} d g i e^{6} + 90 \, A a^{2} b^{9} c^{4} d^{2} g i e^{6} - 75 \, B a^{2} b^{9} c^{4} d^{2} g i e^{6} - 120 \, A a^{3} b^{8} c^{3} d^{3} g i e^{6} + 100 \, B a^{3} b^{8} c^{3} d^{3} g i e^{6} + 90 \, A a^{4} b^{7} c^{2} d^{4} g i e^{6} - 75 \, B a^{4} b^{7} c^{2} d^{4} g i e^{6} - 36 \, A a^{5} b^{6} c d^{5} g i e^{6} + 30 \, B a^{5} b^{6} c d^{5} g i e^{6} + 6 \, A a^{6} b^{5} d^{6} g i e^{6} - 5 \, B a^{6} b^{5} d^{6} g i e^{6} - \frac{30 \, {\left(b x e + a e\right)} A b^{10} c^{6} d g i e^{5}}{d x + c} + \frac{31 \, {\left(b x e + a e\right)} B b^{10} c^{6} d g i e^{5}}{d x + c} + \frac{180 \, {\left(b x e + a e\right)} A a b^{9} c^{5} d^{2} g i e^{5}}{d x + c} - \frac{186 \, {\left(b x e + a e\right)} B a b^{9} c^{5} d^{2} g i e^{5}}{d x + c} - \frac{450 \, {\left(b x e + a e\right)} A a^{2} b^{8} c^{4} d^{3} g i e^{5}}{d x + c} + \frac{465 \, {\left(b x e + a e\right)} B a^{2} b^{8} c^{4} d^{3} g i e^{5}}{d x + c} + \frac{600 \, {\left(b x e + a e\right)} A a^{3} b^{7} c^{3} d^{4} g i e^{5}}{d x + c} - \frac{620 \, {\left(b x e + a e\right)} B a^{3} b^{7} c^{3} d^{4} g i e^{5}}{d x + c} - \frac{450 \, {\left(b x e + a e\right)} A a^{4} b^{6} c^{2} d^{5} g i e^{5}}{d x + c} + \frac{465 \, {\left(b x e + a e\right)} B a^{4} b^{6} c^{2} d^{5} g i e^{5}}{d x + c} + \frac{180 \, {\left(b x e + a e\right)} A a^{5} b^{5} c d^{6} g i e^{5}}{d x + c} - \frac{186 \, {\left(b x e + a e\right)} B a^{5} b^{5} c d^{6} g i e^{5}}{d x + c} - \frac{30 \, {\left(b x e + a e\right)} A a^{6} b^{4} d^{7} g i e^{5}}{d x + c} + \frac{31 \, {\left(b x e + a e\right)} B a^{6} b^{4} d^{7} g i e^{5}}{d x + c} - \frac{47 \, {\left(b x e + a e\right)}^{2} B b^{9} c^{6} d^{2} g i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{282 \, {\left(b x e + a e\right)}^{2} B a b^{8} c^{5} d^{3} g i e^{4}}{{\left(d x + c\right)}^{2}} - \frac{705 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{7} c^{4} d^{4} g i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{940 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{6} c^{3} d^{5} g i e^{4}}{{\left(d x + c\right)}^{2}} - \frac{705 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{5} c^{2} d^{6} g i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{282 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{4} c d^{7} g i e^{4}}{{\left(d x + c\right)}^{2}} - \frac{47 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{3} d^{8} g i e^{4}}{{\left(d x + c\right)}^{2}} + \frac{27 \, {\left(b x e + a e\right)}^{3} B b^{8} c^{6} d^{3} g i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{162 \, {\left(b x e + a e\right)}^{3} B a b^{7} c^{5} d^{4} g i e^{3}}{{\left(d x + c\right)}^{3}} + \frac{405 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{6} c^{4} d^{5} g i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{540 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{5} c^{3} d^{6} g i e^{3}}{{\left(d x + c\right)}^{3}} + \frac{405 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{4} c^{2} d^{7} g i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{162 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{3} c d^{8} g i e^{3}}{{\left(d x + c\right)}^{3}} + \frac{27 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{2} d^{9} g i e^{3}}{{\left(d x + c\right)}^{3}} - \frac{6 \, {\left(b x e + a e\right)}^{4} B b^{7} c^{6} d^{4} g i e^{2}}{{\left(d x + c\right)}^{4}} + \frac{36 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g i e^{2}}{{\left(d x + c\right)}^{4}} - \frac{90 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g i e^{2}}{{\left(d x + c\right)}^{4}} + \frac{120 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g i e^{2}}{{\left(d x + c\right)}^{4}} - \frac{90 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g i e^{2}}{{\left(d x + c\right)}^{4}} + \frac{36 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g i e^{2}}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g i e^{2}}{{\left(d x + c\right)}^{4}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{120 \, {\left(b^{9} d^{2} e^{5} - \frac{5 \, {\left(b x e + a e\right)} b^{8} d^{3} e^{4}}{d x + c} + \frac{10 \, {\left(b x e + a e\right)}^{2} b^{7} d^{4} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x e + a e\right)}^{3} b^{6} d^{5} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x e + a e\right)}^{4} b^{5} d^{6} e}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x e + a e\right)}^{5} b^{4} d^{7}}{{\left(d x + c\right)}^{5}}\right)}}"," ",0,"1/120*(6*B*b^11*c^6*g*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 36*B*a*b^10*c^5*d*g*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 90*B*a^2*b^9*c^4*d^2*g*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 120*B*a^3*b^8*c^3*d^3*g*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 90*B*a^4*b^7*c^2*d^4*g*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 36*B*a^5*b^6*c*d^5*g*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 6*B*a^6*b^5*d^6*g*i*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 30*(b*x*e + a*e)*B*b^10*c^6*d*g*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 180*(b*x*e + a*e)*B*a*b^9*c^5*d^2*g*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 450*(b*x*e + a*e)*B*a^2*b^8*c^4*d^3*g*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 600*(b*x*e + a*e)*B*a^3*b^7*c^3*d^4*g*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 450*(b*x*e + a*e)*B*a^4*b^6*c^2*d^5*g*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 180*(b*x*e + a*e)*B*a^5*b^5*c*d^6*g*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 30*(b*x*e + a*e)*B*a^6*b^4*d^7*g*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 60*(b*x*e + a*e)^2*B*b^9*c^6*d^2*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 360*(b*x*e + a*e)^2*B*a*b^8*c^5*d^3*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 900*(b*x*e + a*e)^2*B*a^2*b^7*c^4*d^4*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 1200*(b*x*e + a*e)^2*B*a^3*b^6*c^3*d^5*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 900*(b*x*e + a*e)^2*B*a^4*b^5*c^2*d^6*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 360*(b*x*e + a*e)^2*B*a^5*b^4*c*d^7*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 60*(b*x*e + a*e)^2*B*a^6*b^3*d^8*g*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 60*(b*x*e + a*e)^3*B*b^8*c^6*d^3*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 360*(b*x*e + a*e)^3*B*a*b^7*c^5*d^4*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 900*(b*x*e + a*e)^3*B*a^2*b^6*c^4*d^5*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 1200*(b*x*e + a*e)^3*B*a^3*b^5*c^3*d^6*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 900*(b*x*e + a*e)^3*B*a^4*b^4*c^2*d^7*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 360*(b*x*e + a*e)^3*B*a^5*b^3*c*d^8*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 60*(b*x*e + a*e)^3*B*a^6*b^2*d^9*g*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 30*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 180*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 450*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 600*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 450*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 180*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 30*(b*x*e + a*e)^4*B*a^6*b*d^10*g*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 6*(b*x*e + a*e)^5*B*b^6*c^6*d^5*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 36*(b*x*e + a*e)^5*B*a*b^5*c^5*d^6*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 90*(b*x*e + a*e)^5*B*a^2*b^4*c^4*d^7*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 120*(b*x*e + a*e)^5*B*a^3*b^3*c^3*d^8*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 90*(b*x*e + a*e)^5*B*a^4*b^2*c^2*d^9*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 36*(b*x*e + a*e)^5*B*a^5*b*c*d^10*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 6*(b*x*e + a*e)^5*B*a^6*d^11*g*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 60*(b*x*e + a*e)^2*B*b^9*c^6*d^2*g*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 360*(b*x*e + a*e)^2*B*a*b^8*c^5*d^3*g*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 900*(b*x*e + a*e)^2*B*a^2*b^7*c^4*d^4*g*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 1200*(b*x*e + a*e)^2*B*a^3*b^6*c^3*d^5*g*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 900*(b*x*e + a*e)^2*B*a^4*b^5*c^2*d^6*g*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 360*(b*x*e + a*e)^2*B*a^5*b^4*c*d^7*g*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 60*(b*x*e + a*e)^2*B*a^6*b^3*d^8*g*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 60*(b*x*e + a*e)^3*B*b^8*c^6*d^3*g*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 360*(b*x*e + a*e)^3*B*a*b^7*c^5*d^4*g*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 900*(b*x*e + a*e)^3*B*a^2*b^6*c^4*d^5*g*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 1200*(b*x*e + a*e)^3*B*a^3*b^5*c^3*d^6*g*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 900*(b*x*e + a*e)^3*B*a^4*b^4*c^2*d^7*g*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 360*(b*x*e + a*e)^3*B*a^5*b^3*c*d^8*g*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 60*(b*x*e + a*e)^3*B*a^6*b^2*d^9*g*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 30*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 180*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 450*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 600*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 450*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 180*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 30*(b*x*e + a*e)^4*B*a^6*b*d^10*g*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 6*(b*x*e + a*e)^5*B*b^6*c^6*d^5*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 36*(b*x*e + a*e)^5*B*a*b^5*c^5*d^6*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 90*(b*x*e + a*e)^5*B*a^2*b^4*c^4*d^7*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 120*(b*x*e + a*e)^5*B*a^3*b^3*c^3*d^8*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 90*(b*x*e + a*e)^5*B*a^4*b^2*c^2*d^9*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 36*(b*x*e + a*e)^5*B*a^5*b*c*d^10*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 6*(b*x*e + a*e)^5*B*a^6*d^11*g*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 6*A*b^11*c^6*g*i*e^6 - 5*B*b^11*c^6*g*i*e^6 - 36*A*a*b^10*c^5*d*g*i*e^6 + 30*B*a*b^10*c^5*d*g*i*e^6 + 90*A*a^2*b^9*c^4*d^2*g*i*e^6 - 75*B*a^2*b^9*c^4*d^2*g*i*e^6 - 120*A*a^3*b^8*c^3*d^3*g*i*e^6 + 100*B*a^3*b^8*c^3*d^3*g*i*e^6 + 90*A*a^4*b^7*c^2*d^4*g*i*e^6 - 75*B*a^4*b^7*c^2*d^4*g*i*e^6 - 36*A*a^5*b^6*c*d^5*g*i*e^6 + 30*B*a^5*b^6*c*d^5*g*i*e^6 + 6*A*a^6*b^5*d^6*g*i*e^6 - 5*B*a^6*b^5*d^6*g*i*e^6 - 30*(b*x*e + a*e)*A*b^10*c^6*d*g*i*e^5/(d*x + c) + 31*(b*x*e + a*e)*B*b^10*c^6*d*g*i*e^5/(d*x + c) + 180*(b*x*e + a*e)*A*a*b^9*c^5*d^2*g*i*e^5/(d*x + c) - 186*(b*x*e + a*e)*B*a*b^9*c^5*d^2*g*i*e^5/(d*x + c) - 450*(b*x*e + a*e)*A*a^2*b^8*c^4*d^3*g*i*e^5/(d*x + c) + 465*(b*x*e + a*e)*B*a^2*b^8*c^4*d^3*g*i*e^5/(d*x + c) + 600*(b*x*e + a*e)*A*a^3*b^7*c^3*d^4*g*i*e^5/(d*x + c) - 620*(b*x*e + a*e)*B*a^3*b^7*c^3*d^4*g*i*e^5/(d*x + c) - 450*(b*x*e + a*e)*A*a^4*b^6*c^2*d^5*g*i*e^5/(d*x + c) + 465*(b*x*e + a*e)*B*a^4*b^6*c^2*d^5*g*i*e^5/(d*x + c) + 180*(b*x*e + a*e)*A*a^5*b^5*c*d^6*g*i*e^5/(d*x + c) - 186*(b*x*e + a*e)*B*a^5*b^5*c*d^6*g*i*e^5/(d*x + c) - 30*(b*x*e + a*e)*A*a^6*b^4*d^7*g*i*e^5/(d*x + c) + 31*(b*x*e + a*e)*B*a^6*b^4*d^7*g*i*e^5/(d*x + c) - 47*(b*x*e + a*e)^2*B*b^9*c^6*d^2*g*i*e^4/(d*x + c)^2 + 282*(b*x*e + a*e)^2*B*a*b^8*c^5*d^3*g*i*e^4/(d*x + c)^2 - 705*(b*x*e + a*e)^2*B*a^2*b^7*c^4*d^4*g*i*e^4/(d*x + c)^2 + 940*(b*x*e + a*e)^2*B*a^3*b^6*c^3*d^5*g*i*e^4/(d*x + c)^2 - 705*(b*x*e + a*e)^2*B*a^4*b^5*c^2*d^6*g*i*e^4/(d*x + c)^2 + 282*(b*x*e + a*e)^2*B*a^5*b^4*c*d^7*g*i*e^4/(d*x + c)^2 - 47*(b*x*e + a*e)^2*B*a^6*b^3*d^8*g*i*e^4/(d*x + c)^2 + 27*(b*x*e + a*e)^3*B*b^8*c^6*d^3*g*i*e^3/(d*x + c)^3 - 162*(b*x*e + a*e)^3*B*a*b^7*c^5*d^4*g*i*e^3/(d*x + c)^3 + 405*(b*x*e + a*e)^3*B*a^2*b^6*c^4*d^5*g*i*e^3/(d*x + c)^3 - 540*(b*x*e + a*e)^3*B*a^3*b^5*c^3*d^6*g*i*e^3/(d*x + c)^3 + 405*(b*x*e + a*e)^3*B*a^4*b^4*c^2*d^7*g*i*e^3/(d*x + c)^3 - 162*(b*x*e + a*e)^3*B*a^5*b^3*c*d^8*g*i*e^3/(d*x + c)^3 + 27*(b*x*e + a*e)^3*B*a^6*b^2*d^9*g*i*e^3/(d*x + c)^3 - 6*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g*i*e^2/(d*x + c)^4 + 36*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g*i*e^2/(d*x + c)^4 - 90*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g*i*e^2/(d*x + c)^4 + 120*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g*i*e^2/(d*x + c)^4 - 90*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g*i*e^2/(d*x + c)^4 + 36*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g*i*e^2/(d*x + c)^4 - 6*(b*x*e + a*e)^4*B*a^6*b*d^10*g*i*e^2/(d*x + c)^4)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^9*d^2*e^5 - 5*(b*x*e + a*e)*b^8*d^3*e^4/(d*x + c) + 10*(b*x*e + a*e)^2*b^7*d^4*e^3/(d*x + c)^2 - 10*(b*x*e + a*e)^3*b^6*d^5*e^2/(d*x + c)^3 + 5*(b*x*e + a*e)^4*b^5*d^6*e/(d*x + c)^4 - (b*x*e + a*e)^5*b^4*d^7/(d*x + c)^5)","B",0
23,1,3969,0,1.091014," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","-\frac{{\left(6 \, B b^{9} c^{5} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 30 \, B a b^{8} c^{4} d i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 60 \, B a^{2} b^{7} c^{3} d^{2} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 60 \, B a^{3} b^{6} c^{2} d^{3} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 30 \, B a^{4} b^{5} c d^{4} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 6 \, B a^{5} b^{4} d^{5} i e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{24 \, {\left(b x e + a e\right)} B b^{8} c^{5} d i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{120 \, {\left(b x e + a e\right)} B a b^{7} c^{4} d^{2} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{240 \, {\left(b x e + a e\right)} B a^{2} b^{6} c^{3} d^{3} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{240 \, {\left(b x e + a e\right)} B a^{3} b^{5} c^{2} d^{4} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{120 \, {\left(b x e + a e\right)} B a^{4} b^{4} c d^{5} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{24 \, {\left(b x e + a e\right)} B a^{5} b^{3} d^{6} i e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{36 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{180 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{180 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c d^{6} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{2} d^{7} i e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{240 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} d^{6} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} i e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{6 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{5} d^{4} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{30 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{4} d^{5} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{60 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{3} c^{3} d^{6} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{2} c^{2} d^{7} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{30 \, {\left(b x e + a e\right)}^{4} B a^{4} b c d^{8} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{4} B a^{5} d^{9} i e \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{24 \, {\left(b x e + a e\right)} B b^{8} c^{5} d i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{120 \, {\left(b x e + a e\right)} B a b^{7} c^{4} d^{2} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{240 \, {\left(b x e + a e\right)} B a^{2} b^{6} c^{3} d^{3} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{240 \, {\left(b x e + a e\right)} B a^{3} b^{5} c^{2} d^{4} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{120 \, {\left(b x e + a e\right)} B a^{4} b^{4} c d^{5} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{24 \, {\left(b x e + a e\right)} B a^{5} b^{3} d^{6} i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{36 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{180 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{180 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c d^{6} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{2} d^{7} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{24 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{240 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} d^{6} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{24 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{6 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{5} d^{4} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{30 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{4} d^{5} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{3} c^{3} d^{6} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{60 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{2} c^{2} d^{7} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{30 \, {\left(b x e + a e\right)}^{4} B a^{4} b c d^{8} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{6 \, {\left(b x e + a e\right)}^{4} B a^{5} d^{9} i e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + 6 \, A b^{9} c^{5} i e^{5} - 11 \, B b^{9} c^{5} i e^{5} - 30 \, A a b^{8} c^{4} d i e^{5} + 55 \, B a b^{8} c^{4} d i e^{5} + 60 \, A a^{2} b^{7} c^{3} d^{2} i e^{5} - 110 \, B a^{2} b^{7} c^{3} d^{2} i e^{5} - 60 \, A a^{3} b^{6} c^{2} d^{3} i e^{5} + 110 \, B a^{3} b^{6} c^{2} d^{3} i e^{5} + 30 \, A a^{4} b^{5} c d^{4} i e^{5} - 55 \, B a^{4} b^{5} c d^{4} i e^{5} - 6 \, A a^{5} b^{4} d^{5} i e^{5} + 11 \, B a^{5} b^{4} d^{5} i e^{5} + \frac{26 \, {\left(b x e + a e\right)} B b^{8} c^{5} d i e^{4}}{d x + c} - \frac{130 \, {\left(b x e + a e\right)} B a b^{7} c^{4} d^{2} i e^{4}}{d x + c} + \frac{260 \, {\left(b x e + a e\right)} B a^{2} b^{6} c^{3} d^{3} i e^{4}}{d x + c} - \frac{260 \, {\left(b x e + a e\right)} B a^{3} b^{5} c^{2} d^{4} i e^{4}}{d x + c} + \frac{130 \, {\left(b x e + a e\right)} B a^{4} b^{4} c d^{5} i e^{4}}{d x + c} - \frac{26 \, {\left(b x e + a e\right)} B a^{5} b^{3} d^{6} i e^{4}}{d x + c} - \frac{21 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{105 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} i e^{3}}{{\left(d x + c\right)}^{2}} - \frac{210 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{210 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} i e^{3}}{{\left(d x + c\right)}^{2}} - \frac{105 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c d^{6} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{21 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{2} d^{7} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} i e^{2}}{{\left(d x + c\right)}^{3}} - \frac{30 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} i e^{2}}{{\left(d x + c\right)}^{3}} + \frac{60 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} i e^{2}}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} d^{6} i e^{2}}{{\left(d x + c\right)}^{3}} + \frac{30 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} i e^{2}}{{\left(d x + c\right)}^{3}} - \frac{6 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} i e^{2}}{{\left(d x + c\right)}^{3}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{24 \, {\left(b^{8} d e^{4} - \frac{4 \, {\left(b x e + a e\right)} b^{7} d^{2} e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)}^{2} b^{6} d^{3} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{3} b^{5} d^{4} e}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x e + a e\right)}^{4} b^{4} d^{5}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"-1/24*(6*B*b^9*c^5*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 30*B*a*b^8*c^4*d*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 60*B*a^2*b^7*c^3*d^2*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 60*B*a^3*b^6*c^2*d^3*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 30*B*a^4*b^5*c*d^4*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 6*B*a^5*b^4*d^5*i*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 24*(b*x*e + a*e)*B*b^8*c^5*d*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 120*(b*x*e + a*e)*B*a*b^7*c^4*d^2*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 240*(b*x*e + a*e)*B*a^2*b^6*c^3*d^3*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 240*(b*x*e + a*e)*B*a^3*b^5*c^2*d^4*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 120*(b*x*e + a*e)*B*a^4*b^4*c*d^5*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 24*(b*x*e + a*e)*B*a^5*b^3*d^6*i*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 36*(b*x*e + a*e)^2*B*b^7*c^5*d^2*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 180*(b*x*e + a*e)^2*B*a*b^6*c^4*d^3*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 360*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 360*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 180*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 36*(b*x*e + a*e)^2*B*a^5*b^2*d^7*i*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 24*(b*x*e + a*e)^3*B*b^6*c^5*d^3*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 120*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 240*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 240*(b*x*e + a*e)^3*B*a^3*b^3*c^2*d^6*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 120*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 24*(b*x*e + a*e)^3*B*a^5*b*d^8*i*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 6*(b*x*e + a*e)^4*B*b^5*c^5*d^4*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 30*(b*x*e + a*e)^4*B*a*b^4*c^4*d^5*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 60*(b*x*e + a*e)^4*B*a^2*b^3*c^3*d^6*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 60*(b*x*e + a*e)^4*B*a^3*b^2*c^2*d^7*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 30*(b*x*e + a*e)^4*B*a^4*b*c*d^8*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 6*(b*x*e + a*e)^4*B*a^5*d^9*i*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 24*(b*x*e + a*e)*B*b^8*c^5*d*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 120*(b*x*e + a*e)*B*a*b^7*c^4*d^2*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 240*(b*x*e + a*e)*B*a^2*b^6*c^3*d^3*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 240*(b*x*e + a*e)*B*a^3*b^5*c^2*d^4*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 120*(b*x*e + a*e)*B*a^4*b^4*c*d^5*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 24*(b*x*e + a*e)*B*a^5*b^3*d^6*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 36*(b*x*e + a*e)^2*B*b^7*c^5*d^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 180*(b*x*e + a*e)^2*B*a*b^6*c^4*d^3*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 360*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 360*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 180*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 36*(b*x*e + a*e)^2*B*a^5*b^2*d^7*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 24*(b*x*e + a*e)^3*B*b^6*c^5*d^3*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 120*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 240*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 240*(b*x*e + a*e)^3*B*a^3*b^3*c^2*d^6*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 120*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 24*(b*x*e + a*e)^3*B*a^5*b*d^8*i*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 6*(b*x*e + a*e)^4*B*b^5*c^5*d^4*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 30*(b*x*e + a*e)^4*B*a*b^4*c^4*d^5*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 60*(b*x*e + a*e)^4*B*a^2*b^3*c^3*d^6*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 60*(b*x*e + a*e)^4*B*a^3*b^2*c^2*d^7*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 30*(b*x*e + a*e)^4*B*a^4*b*c*d^8*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 6*(b*x*e + a*e)^4*B*a^5*d^9*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 6*A*b^9*c^5*i*e^5 - 11*B*b^9*c^5*i*e^5 - 30*A*a*b^8*c^4*d*i*e^5 + 55*B*a*b^8*c^4*d*i*e^5 + 60*A*a^2*b^7*c^3*d^2*i*e^5 - 110*B*a^2*b^7*c^3*d^2*i*e^5 - 60*A*a^3*b^6*c^2*d^3*i*e^5 + 110*B*a^3*b^6*c^2*d^3*i*e^5 + 30*A*a^4*b^5*c*d^4*i*e^5 - 55*B*a^4*b^5*c*d^4*i*e^5 - 6*A*a^5*b^4*d^5*i*e^5 + 11*B*a^5*b^4*d^5*i*e^5 + 26*(b*x*e + a*e)*B*b^8*c^5*d*i*e^4/(d*x + c) - 130*(b*x*e + a*e)*B*a*b^7*c^4*d^2*i*e^4/(d*x + c) + 260*(b*x*e + a*e)*B*a^2*b^6*c^3*d^3*i*e^4/(d*x + c) - 260*(b*x*e + a*e)*B*a^3*b^5*c^2*d^4*i*e^4/(d*x + c) + 130*(b*x*e + a*e)*B*a^4*b^4*c*d^5*i*e^4/(d*x + c) - 26*(b*x*e + a*e)*B*a^5*b^3*d^6*i*e^4/(d*x + c) - 21*(b*x*e + a*e)^2*B*b^7*c^5*d^2*i*e^3/(d*x + c)^2 + 105*(b*x*e + a*e)^2*B*a*b^6*c^4*d^3*i*e^3/(d*x + c)^2 - 210*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*i*e^3/(d*x + c)^2 + 210*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*i*e^3/(d*x + c)^2 - 105*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*i*e^3/(d*x + c)^2 + 21*(b*x*e + a*e)^2*B*a^5*b^2*d^7*i*e^3/(d*x + c)^2 + 6*(b*x*e + a*e)^3*B*b^6*c^5*d^3*i*e^2/(d*x + c)^3 - 30*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*i*e^2/(d*x + c)^3 + 60*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*i*e^2/(d*x + c)^3 - 60*(b*x*e + a*e)^3*B*a^3*b^3*c^2*d^6*i*e^2/(d*x + c)^3 + 30*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*i*e^2/(d*x + c)^3 - 6*(b*x*e + a*e)^3*B*a^5*b*d^8*i*e^2/(d*x + c)^3)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^8*d*e^4 - 4*(b*x*e + a*e)*b^7*d^2*e^3/(d*x + c) + 6*(b*x*e + a*e)^2*b^6*d^3*e^2/(d*x + c)^2 - 4*(b*x*e + a*e)^3*b^5*d^4*e/(d*x + c)^3 + (b*x*e + a*e)^4*b^4*d^5/(d*x + c)^4)","B",0
24,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
26,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
27,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,1,117,0,3.274715," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{{\left(4 \, B i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) + 4 \, A i e^{5} + B i e^{5}\right)} {\left(d x + c\right)}^{4} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{16 \, {\left(b x e + a e\right)}^{4} g^{5}}"," ",0,"1/16*(4*B*i*e^5*log((b*x*e + a*e)/(d*x + c)) + 4*A*i*e^5 + B*i*e^5)*(d*x + c)^4*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^4*g^5)","A",0
29,1,244,0,3.242453," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^6,x, algorithm=""giac"")","\frac{{\left(80 \, B b i e^{6} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{100 \, {\left(b x e + a e\right)} B d i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + 80 \, A b i e^{6} + 16 \, B b i e^{6} - \frac{100 \, {\left(b x e + a e\right)} A d i e^{5}}{d x + c} - \frac{25 \, {\left(b x e + a e\right)} B d i e^{5}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{400 \, {\left(\frac{{\left(b x e + a e\right)}^{5} b c g^{6}}{{\left(d x + c\right)}^{5}} - \frac{{\left(b x e + a e\right)}^{5} a d g^{6}}{{\left(d x + c\right)}^{5}}\right)}}"," ",0,"1/400*(80*B*b*i*e^6*log((b*x*e + a*e)/(d*x + c)) - 100*(b*x*e + a*e)*B*d*i*e^5*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 80*A*b*i*e^6 + 16*B*b*i*e^6 - 100*(b*x*e + a*e)*A*d*i*e^5/(d*x + c) - 25*(b*x*e + a*e)*B*d*i*e^5/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^5*b*c*g^6/(d*x + c)^5 - (b*x*e + a*e)^5*a*d*g^6/(d*x + c)^5)","A",0
30,1,391,0,4.077991," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^7,x, algorithm=""giac"")","\frac{{\left(600 \, B b^{2} i e^{7} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{1440 \, {\left(b x e + a e\right)} B b d i e^{6} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{900 \, {\left(b x e + a e\right)}^{2} B d^{2} i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + 600 \, A b^{2} i e^{7} + 100 \, B b^{2} i e^{7} - \frac{1440 \, {\left(b x e + a e\right)} A b d i e^{6}}{d x + c} - \frac{288 \, {\left(b x e + a e\right)} B b d i e^{6}}{d x + c} + \frac{900 \, {\left(b x e + a e\right)}^{2} A d^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{225 \, {\left(b x e + a e\right)}^{2} B d^{2} i e^{5}}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{3600 \, {\left(\frac{{\left(b x e + a e\right)}^{6} b^{2} c^{2} g^{7}}{{\left(d x + c\right)}^{6}} - \frac{2 \, {\left(b x e + a e\right)}^{6} a b c d g^{7}}{{\left(d x + c\right)}^{6}} + \frac{{\left(b x e + a e\right)}^{6} a^{2} d^{2} g^{7}}{{\left(d x + c\right)}^{6}}\right)}}"," ",0,"1/3600*(600*B*b^2*i*e^7*log((b*x*e + a*e)/(d*x + c)) - 1440*(b*x*e + a*e)*B*b*d*i*e^6*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 900*(b*x*e + a*e)^2*B*d^2*i*e^5*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 600*A*b^2*i*e^7 + 100*B*b^2*i*e^7 - 1440*(b*x*e + a*e)*A*b*d*i*e^6/(d*x + c) - 288*(b*x*e + a*e)*B*b*d*i*e^6/(d*x + c) + 900*(b*x*e + a*e)^2*A*d^2*i*e^5/(d*x + c)^2 + 225*(b*x*e + a*e)^2*B*d^2*i*e^5/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^6*b^2*c^2*g^7/(d*x + c)^6 - 2*(b*x*e + a*e)^6*a*b*c*d*g^7/(d*x + c)^6 + (b*x*e + a*e)^6*a^2*d^2*g^7/(d*x + c)^6)","A",0
31,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
32,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
33,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,1,113,0,0.348730," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)/(d*i*x+c*i),x, algorithm=""giac"")","-\frac{{\left(B i e \log\left(\frac{b x e + a e}{d x + c}\right)^{2} + 2 \, A i e \log\left(\frac{b x e + a e}{d x + c}\right)\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{2 \, g}"," ",0,"-1/2*(B*i*e*log((b*x*e + a*e)/(d*x + c))^2 + 2*A*i*e*log((b*x*e + a*e)/(d*x + c)))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/g","B",0
36,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^3/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^4/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
40,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
41,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,1,120,0,0.743719," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)^2,x, algorithm=""giac"")","-{\left(\frac{{\left(b x e + a e\right)} B \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{{\left(b x e + a e\right)} {\left(A - B\right)}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}"," ",0,"-((b*x*e + a*e)*B*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + (b*x*e + a*e)*(A - B)/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))","A",0
43,1,204,0,1.002205," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)/(d*i*x+c*i)^2,x, algorithm=""giac"")","-\frac{{\left(B b e \log\left(\frac{b x e + a e}{d x + c}\right)^{2} + 2 \, A b e \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{2 \, {\left(b x e + a e\right)} B d \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} A d}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} B d}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{2 \, {\left(b c g - a d g\right)}}"," ",0,"-1/2*(B*b*e*log((b*x*e + a*e)/(d*x + c))^2 + 2*A*b*e*log((b*x*e + a*e)/(d*x + c)) - 2*(b*x*e + a*e)*B*d*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*A*d/(d*x + c) + 2*(b*x*e + a*e)*B*d/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b*c*g - a*d*g)","A",0
44,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^3/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^4/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,1,152,0,1.065781," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{2 \, {\left(b x e + a e\right)}^{2} B g i \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{2} A g i}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} B g i}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)} e^{\left(-1\right)}"," ",0,"1/4*(2*(b*x*e + a*e)^2*B*g*i*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 2*(b*x*e + a*e)^2*A*g*i/(d*x + c)^2 - (b*x*e + a*e)^2*B*g*i/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))*e^(-1)","A",0
50,1,254,0,0.942249," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{{\left(\frac{4 \, {\left(b x e + a e\right)} B b i e \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{4 \, {\left(b x e + a e\right)} A b i e}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B b i e}{d x + c} - \frac{2 \, {\left(b x e + a e\right)}^{2} B d i \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x e + a e\right)}^{2} A d i}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x e + a e\right)}^{2} B d i}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{4 \, {\left(b c e - a d e\right)}}"," ",0,"1/4*(4*(b*x*e + a*e)*B*b*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 4*(b*x*e + a*e)*A*b*i*e/(d*x + c) - 4*(b*x*e + a*e)*B*b*i*e/(d*x + c) - 2*(b*x*e + a*e)^2*B*d*i*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 2*(b*x*e + a*e)^2*A*d*i/(d*x + c)^2 + (b*x*e + a*e)^2*B*d*i/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b*c*e - a*d*e)","A",0
51,1,340,0,0.741646," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{{\left(2 \, B b^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} + 4 \, A b^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{8 \, {\left(b x e + a e\right)} B b d i e \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{8 \, {\left(b x e + a e\right)} A b d i e}{d x + c} + \frac{8 \, {\left(b x e + a e\right)} B b d i e}{d x + c} + \frac{2 \, {\left(b x e + a e\right)}^{2} B d^{2} i \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{2} A d^{2} i}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} B d^{2} i}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{4 \, {\left(b^{2} c^{2} g e - 2 \, a b c d g e + a^{2} d^{2} g e\right)}}"," ",0,"1/4*(2*B*b^2*i*e^2*log((b*x*e + a*e)/(d*x + c))^2 + 4*A*b^2*i*e^2*log((b*x*e + a*e)/(d*x + c)) - 8*(b*x*e + a*e)*B*b*d*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 8*(b*x*e + a*e)*A*b*d*i*e/(d*x + c) + 8*(b*x*e + a*e)*B*b*d*i*e/(d*x + c) + 2*(b*x*e + a*e)^2*B*d^2*i*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 2*(b*x*e + a*e)^2*A*d^2*i/(d*x + c)^2 - (b*x*e + a*e)^2*B*d^2*i/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^2*c^2*g*e - 2*a*b*c*d*g*e + a^2*d^2*g*e)","A",0
52,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
53,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^3/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^4/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
60,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
61,1,185,0,1.294548," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^3,x, algorithm=""giac"")","-\frac{{\left(2 \, B^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} + 4 \, A B i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right) + 2 \, B^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right) + 2 \, A^{2} i e^{3} + 2 \, A B i e^{3} + B^{2} i e^{3}\right)} {\left(d x + c\right)}^{2} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{4 \, {\left(b x e + a e\right)}^{2} g^{3}}"," ",0,"-1/4*(2*B^2*i*e^3*log((b*x*e + a*e)/(d*x + c))^2 + 4*A*B*i*e^3*log((b*x*e + a*e)/(d*x + c)) + 2*B^2*i*e^3*log((b*x*e + a*e)/(d*x + c)) + 2*A^2*i*e^3 + 2*A*B*i*e^3 + B^2*i*e^3)*(d*x + c)^2*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^2*g^3)","A",0
62,1,437,0,1.320552," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{{\left(36 \, B^{2} b i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} - \frac{54 \, {\left(b x e + a e\right)} B^{2} d i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + 72 \, A B b i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right) + 24 \, B^{2} b i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{108 \, {\left(b x e + a e\right)} A B d i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{54 \, {\left(b x e + a e\right)} B^{2} d i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + 36 \, A^{2} b i e^{4} + 24 \, A B b i e^{4} + 8 \, B^{2} b i e^{4} - \frac{54 \, {\left(b x e + a e\right)} A^{2} d i e^{3}}{d x + c} - \frac{54 \, {\left(b x e + a e\right)} A B d i e^{3}}{d x + c} - \frac{27 \, {\left(b x e + a e\right)} B^{2} d i e^{3}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{108 \, {\left(\frac{{\left(b x e + a e\right)}^{3} b c g^{4}}{{\left(d x + c\right)}^{3}} - \frac{{\left(b x e + a e\right)}^{3} a d g^{4}}{{\left(d x + c\right)}^{3}}\right)}}"," ",0,"-1/108*(36*B^2*b*i*e^4*log((b*x*e + a*e)/(d*x + c))^2 - 54*(b*x*e + a*e)*B^2*d*i*e^3*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 72*A*B*b*i*e^4*log((b*x*e + a*e)/(d*x + c)) + 24*B^2*b*i*e^4*log((b*x*e + a*e)/(d*x + c)) - 108*(b*x*e + a*e)*A*B*d*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 54*(b*x*e + a*e)*B^2*d*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 36*A^2*b*i*e^4 + 24*A*B*b*i*e^4 + 8*B^2*b*i*e^4 - 54*(b*x*e + a*e)*A^2*d*i*e^3/(d*x + c) - 54*(b*x*e + a*e)*A*B*d*i*e^3/(d*x + c) - 27*(b*x*e + a*e)*B^2*d*i*e^3/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^3*b*c*g^4/(d*x + c)^3 - (b*x*e + a*e)^3*a*d*g^4/(d*x + c)^3)","A",0
63,1,727,0,1.672148," ","integrate((d*i*x+c*i)*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^5,x, algorithm=""giac"")","-\frac{{\left(216 \, B^{2} b^{2} i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} - \frac{576 \, {\left(b x e + a e\right)} B^{2} b d i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + \frac{432 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{{\left(d x + c\right)}^{2}} + 432 \, A B b^{2} i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) + 108 \, B^{2} b^{2} i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{1152 \, {\left(b x e + a e\right)} A B b d i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{384 \, {\left(b x e + a e\right)} B^{2} b d i e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{864 \, {\left(b x e + a e\right)}^{2} A B d^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{432 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} i e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + 216 \, A^{2} b^{2} i e^{5} + 108 \, A B b^{2} i e^{5} + 27 \, B^{2} b^{2} i e^{5} - \frac{576 \, {\left(b x e + a e\right)} A^{2} b d i e^{4}}{d x + c} - \frac{384 \, {\left(b x e + a e\right)} A B b d i e^{4}}{d x + c} - \frac{128 \, {\left(b x e + a e\right)} B^{2} b d i e^{4}}{d x + c} + \frac{432 \, {\left(b x e + a e\right)}^{2} A^{2} d^{2} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{432 \, {\left(b x e + a e\right)}^{2} A B d^{2} i e^{3}}{{\left(d x + c\right)}^{2}} + \frac{216 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} i e^{3}}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{864 \, {\left(\frac{{\left(b x e + a e\right)}^{4} b^{2} c^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x e + a e\right)}^{4} a b c d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{{\left(b x e + a e\right)}^{4} a^{2} d^{2} g^{5}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"-1/864*(216*B^2*b^2*i*e^5*log((b*x*e + a*e)/(d*x + c))^2 - 576*(b*x*e + a*e)*B^2*b*d*i*e^4*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 432*(b*x*e + a*e)^2*B^2*d^2*i*e^3*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c)^2 + 432*A*B*b^2*i*e^5*log((b*x*e + a*e)/(d*x + c)) + 108*B^2*b^2*i*e^5*log((b*x*e + a*e)/(d*x + c)) - 1152*(b*x*e + a*e)*A*B*b*d*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 384*(b*x*e + a*e)*B^2*b*d*i*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 864*(b*x*e + a*e)^2*A*B*d^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 432*(b*x*e + a*e)^2*B^2*d^2*i*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 216*A^2*b^2*i*e^5 + 108*A*B*b^2*i*e^5 + 27*B^2*b^2*i*e^5 - 576*(b*x*e + a*e)*A^2*b*d*i*e^4/(d*x + c) - 384*(b*x*e + a*e)*A*B*b*d*i*e^4/(d*x + c) - 128*(b*x*e + a*e)*B^2*b*d*i*e^4/(d*x + c) + 432*(b*x*e + a*e)^2*A^2*d^2*i*e^3/(d*x + c)^2 + 432*(b*x*e + a*e)^2*A*B*d^2*i*e^3/(d*x + c)^2 + 216*(b*x*e + a*e)^2*B^2*d^2*i*e^3/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^4*b^2*c^2*g^5/(d*x + c)^4 - 2*(b*x*e + a*e)^4*a*b*c*d*g^5/(d*x + c)^4 + (b*x*e + a*e)^4*a^2*d^2*g^5/(d*x + c)^4)","A",0
64,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,1,180,0,2.203852," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^4,x, algorithm=""giac"")","\frac{{\left(9 \, B^{2} e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} + 18 \, A B e^{4} \log\left(\frac{b x e + a e}{d x + c}\right) + 6 \, B^{2} e^{4} \log\left(\frac{b x e + a e}{d x + c}\right) + 9 \, A^{2} e^{4} + 6 \, A B e^{4} + 2 \, B^{2} e^{4}\right)} {\left(d x + c\right)}^{3} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{27 \, {\left(b x e + a e\right)}^{3} g^{4}}"," ",0,"1/27*(9*B^2*e^4*log((b*x*e + a*e)/(d*x + c))^2 + 18*A*B*e^4*log((b*x*e + a*e)/(d*x + c)) + 6*B^2*e^4*log((b*x*e + a*e)/(d*x + c)) + 9*A^2*e^4 + 6*A*B*e^4 + 2*B^2*e^4)*(d*x + c)^3*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^3*g^4)","A",0
72,1,425,0,2.824960," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{{\left(216 \, B^{2} b e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} - \frac{288 \, {\left(b x e + a e\right)} B^{2} d e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + 432 \, A B b e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) + 108 \, B^{2} b e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{576 \, {\left(b x e + a e\right)} A B d e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{192 \, {\left(b x e + a e\right)} B^{2} d e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + 216 \, A^{2} b e^{5} + 108 \, A B b e^{5} + 27 \, B^{2} b e^{5} - \frac{288 \, {\left(b x e + a e\right)} A^{2} d e^{4}}{d x + c} - \frac{192 \, {\left(b x e + a e\right)} A B d e^{4}}{d x + c} - \frac{64 \, {\left(b x e + a e\right)} B^{2} d e^{4}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{864 \, {\left(\frac{{\left(b x e + a e\right)}^{4} b c g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x e + a e\right)}^{4} a d g^{5}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"1/864*(216*B^2*b*e^5*log((b*x*e + a*e)/(d*x + c))^2 - 288*(b*x*e + a*e)*B^2*d*e^4*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 432*A*B*b*e^5*log((b*x*e + a*e)/(d*x + c)) + 108*B^2*b*e^5*log((b*x*e + a*e)/(d*x + c)) - 576*(b*x*e + a*e)*A*B*d*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 192*(b*x*e + a*e)*B^2*d*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 216*A^2*b*e^5 + 108*A*B*b*e^5 + 27*B^2*b*e^5 - 288*(b*x*e + a*e)*A^2*d*e^4/(d*x + c) - 192*(b*x*e + a*e)*A*B*d*e^4/(d*x + c) - 64*(b*x*e + a*e)*B^2*d*e^4/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^4*b*c*g^5/(d*x + c)^4 - (b*x*e + a*e)^4*a*d*g^5/(d*x + c)^4)","A",0
73,1,709,0,3.089929," ","integrate((d*i*x+c*i)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^6,x, algorithm=""giac"")","\frac{{\left(10800 \, B^{2} b^{2} e^{6} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} - \frac{27000 \, {\left(b x e + a e\right)} B^{2} b d e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + \frac{18000 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{{\left(d x + c\right)}^{2}} + 21600 \, A B b^{2} e^{6} \log\left(\frac{b x e + a e}{d x + c}\right) + 4320 \, B^{2} b^{2} e^{6} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{54000 \, {\left(b x e + a e\right)} A B b d e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{13500 \, {\left(b x e + a e\right)} B^{2} b d e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{36000 \, {\left(b x e + a e\right)}^{2} A B d^{2} e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{12000 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + 10800 \, A^{2} b^{2} e^{6} + 4320 \, A B b^{2} e^{6} + 864 \, B^{2} b^{2} e^{6} - \frac{27000 \, {\left(b x e + a e\right)} A^{2} b d e^{5}}{d x + c} - \frac{13500 \, {\left(b x e + a e\right)} A B b d e^{5}}{d x + c} - \frac{3375 \, {\left(b x e + a e\right)} B^{2} b d e^{5}}{d x + c} + \frac{18000 \, {\left(b x e + a e\right)}^{2} A^{2} d^{2} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{12000 \, {\left(b x e + a e\right)}^{2} A B d^{2} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{4000 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} e^{4}}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{54000 \, {\left(\frac{{\left(b x e + a e\right)}^{5} b^{2} c^{2} g^{6}}{{\left(d x + c\right)}^{5}} - \frac{2 \, {\left(b x e + a e\right)}^{5} a b c d g^{6}}{{\left(d x + c\right)}^{5}} + \frac{{\left(b x e + a e\right)}^{5} a^{2} d^{2} g^{6}}{{\left(d x + c\right)}^{5}}\right)}}"," ",0,"1/54000*(10800*B^2*b^2*e^6*log((b*x*e + a*e)/(d*x + c))^2 - 27000*(b*x*e + a*e)*B^2*b*d*e^5*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 18000*(b*x*e + a*e)^2*B^2*d^2*e^4*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c)^2 + 21600*A*B*b^2*e^6*log((b*x*e + a*e)/(d*x + c)) + 4320*B^2*b^2*e^6*log((b*x*e + a*e)/(d*x + c)) - 54000*(b*x*e + a*e)*A*B*b*d*e^5*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 13500*(b*x*e + a*e)*B^2*b*d*e^5*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 36000*(b*x*e + a*e)^2*A*B*d^2*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 12000*(b*x*e + a*e)^2*B^2*d^2*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 10800*A^2*b^2*e^6 + 4320*A*B*b^2*e^6 + 864*B^2*b^2*e^6 - 27000*(b*x*e + a*e)*A^2*b*d*e^5/(d*x + c) - 13500*(b*x*e + a*e)*A*B*b*d*e^5/(d*x + c) - 3375*(b*x*e + a*e)*B^2*b*d*e^5/(d*x + c) + 18000*(b*x*e + a*e)^2*A^2*d^2*e^4/(d*x + c)^2 + 12000*(b*x*e + a*e)^2*A*B*d^2*e^4/(d*x + c)^2 + 4000*(b*x*e + a*e)^2*B^2*d^2*e^4/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^5*b^2*c^2*g^6/(d*x + c)^5 - 2*(b*x*e + a*e)^5*a*b*c*d*g^6/(d*x + c)^5 + (b*x*e + a*e)^5*a^2*d^2*g^6/(d*x + c)^5)","A",0
74,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,1,185,0,3.222018," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{{\left(8 \, B^{2} i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} + 16 \, A B i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) + 4 \, B^{2} i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) + 8 \, A^{2} i e^{5} + 4 \, A B i e^{5} + B^{2} i e^{5}\right)} {\left(d x + c\right)}^{4} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{32 \, {\left(b x e + a e\right)}^{4} g^{5}}"," ",0,"1/32*(8*B^2*i*e^5*log((b*x*e + a*e)/(d*x + c))^2 + 16*A*B*i*e^5*log((b*x*e + a*e)/(d*x + c)) + 4*B^2*i*e^5*log((b*x*e + a*e)/(d*x + c)) + 8*A^2*i*e^5 + 4*A*B*i*e^5 + B^2*i*e^5)*(d*x + c)^4*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^4*g^5)","A",0
82,1,437,0,4.341472," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^6,x, algorithm=""giac"")","\frac{{\left(800 \, B^{2} b i e^{6} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} - \frac{1000 \, {\left(b x e + a e\right)} B^{2} d i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + 1600 \, A B b i e^{6} \log\left(\frac{b x e + a e}{d x + c}\right) + 320 \, B^{2} b i e^{6} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{2000 \, {\left(b x e + a e\right)} A B d i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{500 \, {\left(b x e + a e\right)} B^{2} d i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + 800 \, A^{2} b i e^{6} + 320 \, A B b i e^{6} + 64 \, B^{2} b i e^{6} - \frac{1000 \, {\left(b x e + a e\right)} A^{2} d i e^{5}}{d x + c} - \frac{500 \, {\left(b x e + a e\right)} A B d i e^{5}}{d x + c} - \frac{125 \, {\left(b x e + a e\right)} B^{2} d i e^{5}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{4000 \, {\left(\frac{{\left(b x e + a e\right)}^{5} b c g^{6}}{{\left(d x + c\right)}^{5}} - \frac{{\left(b x e + a e\right)}^{5} a d g^{6}}{{\left(d x + c\right)}^{5}}\right)}}"," ",0,"1/4000*(800*B^2*b*i*e^6*log((b*x*e + a*e)/(d*x + c))^2 - 1000*(b*x*e + a*e)*B^2*d*i*e^5*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 1600*A*B*b*i*e^6*log((b*x*e + a*e)/(d*x + c)) + 320*B^2*b*i*e^6*log((b*x*e + a*e)/(d*x + c)) - 2000*(b*x*e + a*e)*A*B*d*i*e^5*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 500*(b*x*e + a*e)*B^2*d*i*e^5*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 800*A^2*b*i*e^6 + 320*A*B*b*i*e^6 + 64*B^2*b*i*e^6 - 1000*(b*x*e + a*e)*A^2*d*i*e^5/(d*x + c) - 500*(b*x*e + a*e)*A*B*d*i*e^5/(d*x + c) - 125*(b*x*e + a*e)*B^2*d*i*e^5/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^5*b*c*g^6/(d*x + c)^5 - (b*x*e + a*e)^5*a*d*g^6/(d*x + c)^5)","A",0
83,1,727,0,3.691569," ","integrate((d*i*x+c*i)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^7,x, algorithm=""giac"")","\frac{{\left(18000 \, B^{2} b^{2} i e^{7} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} - \frac{43200 \, {\left(b x e + a e\right)} B^{2} b d i e^{6} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + \frac{27000 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{{\left(d x + c\right)}^{2}} + 36000 \, A B b^{2} i e^{7} \log\left(\frac{b x e + a e}{d x + c}\right) + 6000 \, B^{2} b^{2} i e^{7} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{86400 \, {\left(b x e + a e\right)} A B b d i e^{6} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{17280 \, {\left(b x e + a e\right)} B^{2} b d i e^{6} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{54000 \, {\left(b x e + a e\right)}^{2} A B d^{2} i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{13500 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} i e^{5} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + 18000 \, A^{2} b^{2} i e^{7} + 6000 \, A B b^{2} i e^{7} + 1000 \, B^{2} b^{2} i e^{7} - \frac{43200 \, {\left(b x e + a e\right)} A^{2} b d i e^{6}}{d x + c} - \frac{17280 \, {\left(b x e + a e\right)} A B b d i e^{6}}{d x + c} - \frac{3456 \, {\left(b x e + a e\right)} B^{2} b d i e^{6}}{d x + c} + \frac{27000 \, {\left(b x e + a e\right)}^{2} A^{2} d^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{13500 \, {\left(b x e + a e\right)}^{2} A B d^{2} i e^{5}}{{\left(d x + c\right)}^{2}} + \frac{3375 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} i e^{5}}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{108000 \, {\left(\frac{{\left(b x e + a e\right)}^{6} b^{2} c^{2} g^{7}}{{\left(d x + c\right)}^{6}} - \frac{2 \, {\left(b x e + a e\right)}^{6} a b c d g^{7}}{{\left(d x + c\right)}^{6}} + \frac{{\left(b x e + a e\right)}^{6} a^{2} d^{2} g^{7}}{{\left(d x + c\right)}^{6}}\right)}}"," ",0,"1/108000*(18000*B^2*b^2*i*e^7*log((b*x*e + a*e)/(d*x + c))^2 - 43200*(b*x*e + a*e)*B^2*b*d*i*e^6*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 27000*(b*x*e + a*e)^2*B^2*d^2*i*e^5*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c)^2 + 36000*A*B*b^2*i*e^7*log((b*x*e + a*e)/(d*x + c)) + 6000*B^2*b^2*i*e^7*log((b*x*e + a*e)/(d*x + c)) - 86400*(b*x*e + a*e)*A*B*b*d*i*e^6*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 17280*(b*x*e + a*e)*B^2*b*d*i*e^6*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 54000*(b*x*e + a*e)^2*A*B*d^2*i*e^5*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 13500*(b*x*e + a*e)^2*B^2*d^2*i*e^5*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 18000*A^2*b^2*i*e^7 + 6000*A*B*b^2*i*e^7 + 1000*B^2*b^2*i*e^7 - 43200*(b*x*e + a*e)*A^2*b*d*i*e^6/(d*x + c) - 17280*(b*x*e + a*e)*A*B*b*d*i*e^6/(d*x + c) - 3456*(b*x*e + a*e)*B^2*b*d*i*e^6/(d*x + c) + 27000*(b*x*e + a*e)^2*A^2*d^2*i*e^5/(d*x + c)^2 + 13500*(b*x*e + a*e)^2*A*B*d^2*i*e^5/(d*x + c)^2 + 3375*(b*x*e + a*e)^2*B^2*d^2*i*e^5/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/((b*x*e + a*e)^6*b^2*c^2*g^7/(d*x + c)^6 - 2*(b*x*e + a*e)^6*a*b*c*d*g^7/(d*x + c)^6 + (b*x*e + a*e)^6*a^2*d^2*g^7/(d*x + c)^6)","A",0
84,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
87,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
88,1,145,0,0.680715," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)/(d*i*x+c*i),x, algorithm=""giac"")","-\frac{{\left(B^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)^{3} + 3 \, A B i e \log\left(\frac{b x e + a e}{d x + c}\right)^{2} + 3 \, A^{2} i e \log\left(\frac{b x e + a e}{d x + c}\right)\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{3 \, g}"," ",0,"-1/3*(B^2*i*e*log((b*x*e + a*e)/(d*x + c))^3 + 3*A*B*i*e*log((b*x*e + a*e)/(d*x + c))^2 + 3*A^2*i*e*log((b*x*e + a*e)/(d*x + c)))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/g","B",0
89,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
90,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^3/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^4/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
92,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
93,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,1,179,0,1.270843," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","-{\left(\frac{{\left(b x e + a e\right)} B^{2} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} {\left(A B - B^{2}\right)} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{{\left(b x e + a e\right)} {\left(A^{2} - 2 \, A B + 2 \, B^{2}\right)}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}"," ",0,"-((b*x*e + a*e)*B^2*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 2*(b*x*e + a*e)*(A*B - B^2)*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + (b*x*e + a*e)*(A^2 - 2*A*B + 2*B^2)/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))","A",0
96,1,349,0,1.440853," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)/(d*i*x+c*i)^2,x, algorithm=""giac"")","-\frac{{\left(B^{2} b e \log\left(\frac{b x e + a e}{d x + c}\right)^{3} + 3 \, A B b e \log\left(\frac{b x e + a e}{d x + c}\right)^{2} + 3 \, A^{2} b e \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{3 \, {\left(b x e + a e\right)} B^{2} d \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} A B d \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B^{2} d \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{3 \, {\left(b x e + a e\right)} A^{2} d}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} A B d}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} B^{2} d}{d x + c}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{3 \, {\left(b c g - a d g\right)}}"," ",0,"-1/3*(B^2*b*e*log((b*x*e + a*e)/(d*x + c))^3 + 3*A*B*b*e*log((b*x*e + a*e)/(d*x + c))^2 + 3*A^2*b*e*log((b*x*e + a*e)/(d*x + c)) - 3*(b*x*e + a*e)*B^2*d*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) - 6*(b*x*e + a*e)*A*B*d*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 6*(b*x*e + a*e)*B^2*d*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 3*(b*x*e + a*e)*A^2*d/(d*x + c) + 6*(b*x*e + a*e)*A*B*d/(d*x + c) - 6*(b*x*e + a*e)*B^2*d/(d*x + c))*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b*c*g - a*d*g)","A",0
97,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^3/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^4/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
100,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,1,273,0,1.503134," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{2 \, {\left(b x e + a e\right)}^{2} B^{2} g i \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x e + a e\right)}^{2} A B g i \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x e + a e\right)}^{2} B^{2} g i \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{2} A^{2} g i}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x e + a e\right)}^{2} A B g i}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x e + a e\right)}^{2} B^{2} g i}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)} e^{\left(-1\right)}"," ",0,"1/4*(2*(b*x*e + a*e)^2*B^2*g*i*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c)^2 + 4*(b*x*e + a*e)^2*A*B*g*i*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 2*(b*x*e + a*e)^2*B^2*g*i*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 2*(b*x*e + a*e)^2*A^2*g*i/(d*x + c)^2 - 2*(b*x*e + a*e)^2*A*B*g*i/(d*x + c)^2 + (b*x*e + a*e)^2*B^2*g*i/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))*e^(-1)","B",0
103,1,499,0,1.427902," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{{\left(\frac{4 \, {\left(b x e + a e\right)} B^{2} b i e \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + \frac{8 \, {\left(b x e + a e\right)} A B b i e \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{8 \, {\left(b x e + a e\right)} B^{2} b i e \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{2 \, {\left(b x e + a e\right)}^{2} B^{2} d i \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x e + a e\right)} A^{2} b i e}{d x + c} - \frac{8 \, {\left(b x e + a e\right)} A B b i e}{d x + c} + \frac{8 \, {\left(b x e + a e\right)} B^{2} b i e}{d x + c} - \frac{4 \, {\left(b x e + a e\right)}^{2} A B d i \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{2} B^{2} d i \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x e + a e\right)}^{2} A^{2} d i}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{2} A B d i}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} B^{2} d i}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{4 \, {\left(b c e - a d e\right)}}"," ",0,"1/4*(4*(b*x*e + a*e)*B^2*b*i*e*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 8*(b*x*e + a*e)*A*B*b*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 8*(b*x*e + a*e)*B^2*b*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)^2*B^2*d*i*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c)^2 + 4*(b*x*e + a*e)*A^2*b*i*e/(d*x + c) - 8*(b*x*e + a*e)*A*B*b*i*e/(d*x + c) + 8*(b*x*e + a*e)*B^2*b*i*e/(d*x + c) - 4*(b*x*e + a*e)^2*A*B*d*i*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 2*(b*x*e + a*e)^2*B^2*d*i*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 2*(b*x*e + a*e)^2*A^2*d*i/(d*x + c)^2 + 2*(b*x*e + a*e)^2*A*B*d*i/(d*x + c)^2 - (b*x*e + a*e)^2*B^2*d*i/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b*c*e - a*d*e)","A",0
104,1,628,0,1.558729," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{{\left(4 \, B^{2} b^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)^{3} + 12 \, A B b^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} - \frac{24 \, {\left(b x e + a e\right)} B^{2} b d i e \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + 12 \, A^{2} b^{2} i e^{2} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{48 \, {\left(b x e + a e\right)} A B b d i e \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{48 \, {\left(b x e + a e\right)} B^{2} b d i e \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{6 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} i \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x e + a e\right)} A^{2} b d i e}{d x + c} + \frac{48 \, {\left(b x e + a e\right)} A B b d i e}{d x + c} - \frac{48 \, {\left(b x e + a e\right)} B^{2} b d i e}{d x + c} + \frac{12 \, {\left(b x e + a e\right)}^{2} A B d^{2} i \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} i \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} A^{2} d^{2} i}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x e + a e\right)}^{2} A B d^{2} i}{{\left(d x + c\right)}^{2}} + \frac{3 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} i}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}} - \frac{a d}{{\left(b c e - a d e\right)} {\left(b c - a d\right)}}\right)}}{12 \, {\left(b^{2} c^{2} g e - 2 \, a b c d g e + a^{2} d^{2} g e\right)}}"," ",0,"1/12*(4*B^2*b^2*i*e^2*log((b*x*e + a*e)/(d*x + c))^3 + 12*A*B*b^2*i*e^2*log((b*x*e + a*e)/(d*x + c))^2 - 24*(b*x*e + a*e)*B^2*b*d*i*e*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 12*A^2*b^2*i*e^2*log((b*x*e + a*e)/(d*x + c)) - 48*(b*x*e + a*e)*A*B*b*d*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 48*(b*x*e + a*e)*B^2*b*d*i*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 6*(b*x*e + a*e)^2*B^2*d^2*i*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c)^2 - 24*(b*x*e + a*e)*A^2*b*d*i*e/(d*x + c) + 48*(b*x*e + a*e)*A*B*b*d*i*e/(d*x + c) - 48*(b*x*e + a*e)*B^2*b*d*i*e/(d*x + c) + 12*(b*x*e + a*e)^2*A*B*d^2*i*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 6*(b*x*e + a*e)^2*B^2*d^2*i*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 6*(b*x*e + a*e)^2*A^2*d^2*i/(d*x + c)^2 - 6*(b*x*e + a*e)^2*A*B*d^2*i/(d*x + c)^2 + 3*(b*x*e + a*e)^2*B^2*d^2*i/(d*x + c)^2)*(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))/(b^2*c^2*g*e - 2*a*b*c*d*g*e + a^2*d^2*g*e)","A",0
105,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^3/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
107,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^4/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,1,3889,0,6.401104," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","-\frac{1}{120} \, {\left(\frac{6 \, {\left(B b^{9} c^{6} g^{3} i n - 6 \, B a b^{8} c^{5} d g^{3} i n - \frac{5 \, {\left(b x + a\right)} B b^{8} c^{6} d g^{3} i n}{d x + c} + 15 \, B a^{2} b^{7} c^{4} d^{2} g^{3} i n + \frac{30 \, {\left(b x + a\right)} B a b^{7} c^{5} d^{2} g^{3} i n}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} B b^{7} c^{6} d^{2} g^{3} i n}{{\left(d x + c\right)}^{2}} - 20 \, B a^{3} b^{6} c^{3} d^{3} g^{3} i n - \frac{75 \, {\left(b x + a\right)} B a^{2} b^{6} c^{4} d^{3} g^{3} i n}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} B a b^{6} c^{5} d^{3} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} B b^{6} c^{6} d^{3} g^{3} i n}{{\left(d x + c\right)}^{3}} + 15 \, B a^{4} b^{5} c^{2} d^{4} g^{3} i n + \frac{100 \, {\left(b x + a\right)} B a^{3} b^{5} c^{3} d^{4} g^{3} i n}{d x + c} + \frac{150 \, {\left(b x + a\right)}^{2} B a^{2} b^{5} c^{4} d^{4} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x + a\right)}^{3} B a b^{5} c^{5} d^{4} g^{3} i n}{{\left(d x + c\right)}^{3}} - 6 \, B a^{5} b^{4} c d^{5} g^{3} i n - \frac{75 \, {\left(b x + a\right)} B a^{4} b^{4} c^{2} d^{5} g^{3} i n}{d x + c} - \frac{200 \, {\left(b x + a\right)}^{2} B a^{3} b^{4} c^{3} d^{5} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{150 \, {\left(b x + a\right)}^{3} B a^{2} b^{4} c^{4} d^{5} g^{3} i n}{{\left(d x + c\right)}^{3}} + B a^{6} b^{3} d^{6} g^{3} i n + \frac{30 \, {\left(b x + a\right)} B a^{5} b^{3} c d^{6} g^{3} i n}{d x + c} + \frac{150 \, {\left(b x + a\right)}^{2} B a^{4} b^{3} c^{2} d^{6} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{200 \, {\left(b x + a\right)}^{3} B a^{3} b^{3} c^{3} d^{6} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{5 \, {\left(b x + a\right)} B a^{6} b^{2} d^{7} g^{3} i n}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} B a^{5} b^{2} c d^{7} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{150 \, {\left(b x + a\right)}^{3} B a^{4} b^{2} c^{2} d^{7} g^{3} i n}{{\left(d x + c\right)}^{3}} + \frac{10 \, {\left(b x + a\right)}^{2} B a^{6} b d^{8} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x + a\right)}^{3} B a^{5} b c d^{8} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{10 \, {\left(b x + a\right)}^{3} B a^{6} d^{9} g^{3} i n}{{\left(d x + c\right)}^{3}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{5} d^{4} - \frac{5 \, {\left(b x + a\right)} b^{4} d^{5}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{3} d^{6}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{2} d^{7}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b d^{8}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} d^{9}}{{\left(d x + c\right)}^{5}}} + \frac{5 \, B b^{10} c^{6} g^{3} i n - 30 \, B a b^{9} c^{5} d g^{3} i n - \frac{19 \, {\left(b x + a\right)} B b^{9} c^{6} d g^{3} i n}{d x + c} + 75 \, B a^{2} b^{8} c^{4} d^{2} g^{3} i n + \frac{114 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g^{3} i n}{d x + c} + \frac{23 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g^{3} i n}{{\left(d x + c\right)}^{2}} - 100 \, B a^{3} b^{7} c^{3} d^{3} g^{3} i n - \frac{285 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g^{3} i n}{d x + c} - \frac{138 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{3 \, {\left(b x + a\right)}^{3} B b^{7} c^{6} d^{3} g^{3} i n}{{\left(d x + c\right)}^{3}} + 75 \, B a^{4} b^{6} c^{2} d^{4} g^{3} i n + \frac{380 \, {\left(b x + a\right)} B a^{3} b^{6} c^{3} d^{4} g^{3} i n}{d x + c} + \frac{345 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{4} d^{4} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{18 \, {\left(b x + a\right)}^{3} B a b^{6} c^{5} d^{4} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{6 \, {\left(b x + a\right)}^{4} B b^{6} c^{6} d^{4} g^{3} i n}{{\left(d x + c\right)}^{4}} - 30 \, B a^{5} b^{5} c d^{5} g^{3} i n - \frac{285 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g^{3} i n}{d x + c} - \frac{460 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{45 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{4} d^{5} g^{3} i n}{{\left(d x + c\right)}^{3}} + \frac{36 \, {\left(b x + a\right)}^{4} B a b^{5} c^{5} d^{5} g^{3} i n}{{\left(d x + c\right)}^{4}} + 5 \, B a^{6} b^{4} d^{6} g^{3} i n + \frac{114 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g^{3} i n}{d x + c} + \frac{345 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{3} d^{6} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{90 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{4} d^{6} g^{3} i n}{{\left(d x + c\right)}^{4}} - \frac{19 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g^{3} i n}{d x + c} - \frac{138 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c d^{7} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{45 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} c^{2} d^{7} g^{3} i n}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x + a\right)}^{4} B a^{3} b^{3} c^{3} d^{7} g^{3} i n}{{\left(d x + c\right)}^{4}} + \frac{23 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} d^{8} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{18 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} c d^{8} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{90 \, {\left(b x + a\right)}^{4} B a^{4} b^{2} c^{2} d^{8} g^{3} i n}{{\left(d x + c\right)}^{4}} - \frac{3 \, {\left(b x + a\right)}^{3} B a^{6} b d^{9} g^{3} i n}{{\left(d x + c\right)}^{3}} + \frac{36 \, {\left(b x + a\right)}^{4} B a^{5} b c d^{9} g^{3} i n}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x + a\right)}^{4} B a^{6} d^{10} g^{3} i n}{{\left(d x + c\right)}^{4}} + 6 \, A b^{10} c^{6} g^{3} i + 6 \, B b^{10} c^{6} g^{3} i - 36 \, A a b^{9} c^{5} d g^{3} i - 36 \, B a b^{9} c^{5} d g^{3} i - \frac{30 \, {\left(b x + a\right)} A b^{9} c^{6} d g^{3} i}{d x + c} - \frac{30 \, {\left(b x + a\right)} B b^{9} c^{6} d g^{3} i}{d x + c} + 90 \, A a^{2} b^{8} c^{4} d^{2} g^{3} i + 90 \, B a^{2} b^{8} c^{4} d^{2} g^{3} i + \frac{180 \, {\left(b x + a\right)} A a b^{8} c^{5} d^{2} g^{3} i}{d x + c} + \frac{180 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g^{3} i}{d x + c} + \frac{60 \, {\left(b x + a\right)}^{2} A b^{8} c^{6} d^{2} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g^{3} i}{{\left(d x + c\right)}^{2}} - 120 \, A a^{3} b^{7} c^{3} d^{3} g^{3} i - 120 \, B a^{3} b^{7} c^{3} d^{3} g^{3} i - \frac{450 \, {\left(b x + a\right)} A a^{2} b^{7} c^{4} d^{3} g^{3} i}{d x + c} - \frac{450 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g^{3} i}{d x + c} - \frac{360 \, {\left(b x + a\right)}^{2} A a b^{7} c^{5} d^{3} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x + a\right)}^{3} A b^{7} c^{6} d^{3} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x + a\right)}^{3} B b^{7} c^{6} d^{3} g^{3} i}{{\left(d x + c\right)}^{3}} + 90 \, A a^{4} b^{6} c^{2} d^{4} g^{3} i + 90 \, B a^{4} b^{6} c^{2} d^{4} g^{3} i + \frac{600 \, {\left(b x + a\right)} A a^{3} b^{6} c^{3} d^{4} g^{3} i}{d x + c} + \frac{600 \, {\left(b x + a\right)} B a^{3} b^{6} c^{3} d^{4} g^{3} i}{d x + c} + \frac{900 \, {\left(b x + a\right)}^{2} A a^{2} b^{6} c^{4} d^{4} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{900 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{4} d^{4} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x + a\right)}^{3} A a b^{6} c^{5} d^{4} g^{3} i}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x + a\right)}^{3} B a b^{6} c^{5} d^{4} g^{3} i}{{\left(d x + c\right)}^{3}} - 36 \, A a^{5} b^{5} c d^{5} g^{3} i - 36 \, B a^{5} b^{5} c d^{5} g^{3} i - \frac{450 \, {\left(b x + a\right)} A a^{4} b^{5} c^{2} d^{5} g^{3} i}{d x + c} - \frac{450 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g^{3} i}{d x + c} - \frac{1200 \, {\left(b x + a\right)}^{2} A a^{3} b^{5} c^{3} d^{5} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{1200 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{900 \, {\left(b x + a\right)}^{3} A a^{2} b^{5} c^{4} d^{5} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{900 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{4} d^{5} g^{3} i}{{\left(d x + c\right)}^{3}} + 6 \, A a^{6} b^{4} d^{6} g^{3} i + 6 \, B a^{6} b^{4} d^{6} g^{3} i + \frac{180 \, {\left(b x + a\right)} A a^{5} b^{4} c d^{6} g^{3} i}{d x + c} + \frac{180 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g^{3} i}{d x + c} + \frac{900 \, {\left(b x + a\right)}^{2} A a^{4} b^{4} c^{2} d^{6} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{900 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{1200 \, {\left(b x + a\right)}^{3} A a^{3} b^{4} c^{3} d^{6} g^{3} i}{{\left(d x + c\right)}^{3}} + \frac{1200 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{3} d^{6} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{30 \, {\left(b x + a\right)} A a^{6} b^{3} d^{7} g^{3} i}{d x + c} - \frac{30 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g^{3} i}{d x + c} - \frac{360 \, {\left(b x + a\right)}^{2} A a^{5} b^{3} c d^{7} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c d^{7} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{900 \, {\left(b x + a\right)}^{3} A a^{4} b^{3} c^{2} d^{7} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{900 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} c^{2} d^{7} g^{3} i}{{\left(d x + c\right)}^{3}} + \frac{60 \, {\left(b x + a\right)}^{2} A a^{6} b^{2} d^{8} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} d^{8} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x + a\right)}^{3} A a^{5} b^{2} c d^{8} g^{3} i}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} c d^{8} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x + a\right)}^{3} A a^{6} b d^{9} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x + a\right)}^{3} B a^{6} b d^{9} g^{3} i}{{\left(d x + c\right)}^{3}}}{b^{6} d^{4} - \frac{5 \, {\left(b x + a\right)} b^{5} d^{5}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{4} d^{6}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{3} d^{7}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b^{2} d^{8}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} b d^{9}}{{\left(d x + c\right)}^{5}}} + \frac{6 \, {\left(B b^{6} c^{6} g^{3} i n - 6 \, B a b^{5} c^{5} d g^{3} i n + 15 \, B a^{2} b^{4} c^{4} d^{2} g^{3} i n - 20 \, B a^{3} b^{3} c^{3} d^{3} g^{3} i n + 15 \, B a^{4} b^{2} c^{2} d^{4} g^{3} i n - 6 \, B a^{5} b c d^{5} g^{3} i n + B a^{6} d^{6} g^{3} i n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{2} d^{4}} - \frac{6 \, {\left(B b^{6} c^{6} g^{3} i n - 6 \, B a b^{5} c^{5} d g^{3} i n + 15 \, B a^{2} b^{4} c^{4} d^{2} g^{3} i n - 20 \, B a^{3} b^{3} c^{3} d^{3} g^{3} i n + 15 \, B a^{4} b^{2} c^{2} d^{4} g^{3} i n - 6 \, B a^{5} b c d^{5} g^{3} i n + B a^{6} d^{6} g^{3} i n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} d^{4}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/120*(6*(B*b^9*c^6*g^3*i*n - 6*B*a*b^8*c^5*d*g^3*i*n - 5*(b*x + a)*B*b^8*c^6*d*g^3*i*n/(d*x + c) + 15*B*a^2*b^7*c^4*d^2*g^3*i*n + 30*(b*x + a)*B*a*b^7*c^5*d^2*g^3*i*n/(d*x + c) + 10*(b*x + a)^2*B*b^7*c^6*d^2*g^3*i*n/(d*x + c)^2 - 20*B*a^3*b^6*c^3*d^3*g^3*i*n - 75*(b*x + a)*B*a^2*b^6*c^4*d^3*g^3*i*n/(d*x + c) - 60*(b*x + a)^2*B*a*b^6*c^5*d^3*g^3*i*n/(d*x + c)^2 - 10*(b*x + a)^3*B*b^6*c^6*d^3*g^3*i*n/(d*x + c)^3 + 15*B*a^4*b^5*c^2*d^4*g^3*i*n + 100*(b*x + a)*B*a^3*b^5*c^3*d^4*g^3*i*n/(d*x + c) + 150*(b*x + a)^2*B*a^2*b^5*c^4*d^4*g^3*i*n/(d*x + c)^2 + 60*(b*x + a)^3*B*a*b^5*c^5*d^4*g^3*i*n/(d*x + c)^3 - 6*B*a^5*b^4*c*d^5*g^3*i*n - 75*(b*x + a)*B*a^4*b^4*c^2*d^5*g^3*i*n/(d*x + c) - 200*(b*x + a)^2*B*a^3*b^4*c^3*d^5*g^3*i*n/(d*x + c)^2 - 150*(b*x + a)^3*B*a^2*b^4*c^4*d^5*g^3*i*n/(d*x + c)^3 + B*a^6*b^3*d^6*g^3*i*n + 30*(b*x + a)*B*a^5*b^3*c*d^6*g^3*i*n/(d*x + c) + 150*(b*x + a)^2*B*a^4*b^3*c^2*d^6*g^3*i*n/(d*x + c)^2 + 200*(b*x + a)^3*B*a^3*b^3*c^3*d^6*g^3*i*n/(d*x + c)^3 - 5*(b*x + a)*B*a^6*b^2*d^7*g^3*i*n/(d*x + c) - 60*(b*x + a)^2*B*a^5*b^2*c*d^7*g^3*i*n/(d*x + c)^2 - 150*(b*x + a)^3*B*a^4*b^2*c^2*d^7*g^3*i*n/(d*x + c)^3 + 10*(b*x + a)^2*B*a^6*b*d^8*g^3*i*n/(d*x + c)^2 + 60*(b*x + a)^3*B*a^5*b*c*d^8*g^3*i*n/(d*x + c)^3 - 10*(b*x + a)^3*B*a^6*d^9*g^3*i*n/(d*x + c)^3)*log((b*x + a)/(d*x + c))/(b^5*d^4 - 5*(b*x + a)*b^4*d^5/(d*x + c) + 10*(b*x + a)^2*b^3*d^6/(d*x + c)^2 - 10*(b*x + a)^3*b^2*d^7/(d*x + c)^3 + 5*(b*x + a)^4*b*d^8/(d*x + c)^4 - (b*x + a)^5*d^9/(d*x + c)^5) + (5*B*b^10*c^6*g^3*i*n - 30*B*a*b^9*c^5*d*g^3*i*n - 19*(b*x + a)*B*b^9*c^6*d*g^3*i*n/(d*x + c) + 75*B*a^2*b^8*c^4*d^2*g^3*i*n + 114*(b*x + a)*B*a*b^8*c^5*d^2*g^3*i*n/(d*x + c) + 23*(b*x + a)^2*B*b^8*c^6*d^2*g^3*i*n/(d*x + c)^2 - 100*B*a^3*b^7*c^3*d^3*g^3*i*n - 285*(b*x + a)*B*a^2*b^7*c^4*d^3*g^3*i*n/(d*x + c) - 138*(b*x + a)^2*B*a*b^7*c^5*d^3*g^3*i*n/(d*x + c)^2 - 3*(b*x + a)^3*B*b^7*c^6*d^3*g^3*i*n/(d*x + c)^3 + 75*B*a^4*b^6*c^2*d^4*g^3*i*n + 380*(b*x + a)*B*a^3*b^6*c^3*d^4*g^3*i*n/(d*x + c) + 345*(b*x + a)^2*B*a^2*b^6*c^4*d^4*g^3*i*n/(d*x + c)^2 + 18*(b*x + a)^3*B*a*b^6*c^5*d^4*g^3*i*n/(d*x + c)^3 - 6*(b*x + a)^4*B*b^6*c^6*d^4*g^3*i*n/(d*x + c)^4 - 30*B*a^5*b^5*c*d^5*g^3*i*n - 285*(b*x + a)*B*a^4*b^5*c^2*d^5*g^3*i*n/(d*x + c) - 460*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g^3*i*n/(d*x + c)^2 - 45*(b*x + a)^3*B*a^2*b^5*c^4*d^5*g^3*i*n/(d*x + c)^3 + 36*(b*x + a)^4*B*a*b^5*c^5*d^5*g^3*i*n/(d*x + c)^4 + 5*B*a^6*b^4*d^6*g^3*i*n + 114*(b*x + a)*B*a^5*b^4*c*d^6*g^3*i*n/(d*x + c) + 345*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g^3*i*n/(d*x + c)^2 + 60*(b*x + a)^3*B*a^3*b^4*c^3*d^6*g^3*i*n/(d*x + c)^3 - 90*(b*x + a)^4*B*a^2*b^4*c^4*d^6*g^3*i*n/(d*x + c)^4 - 19*(b*x + a)*B*a^6*b^3*d^7*g^3*i*n/(d*x + c) - 138*(b*x + a)^2*B*a^5*b^3*c*d^7*g^3*i*n/(d*x + c)^2 - 45*(b*x + a)^3*B*a^4*b^3*c^2*d^7*g^3*i*n/(d*x + c)^3 + 120*(b*x + a)^4*B*a^3*b^3*c^3*d^7*g^3*i*n/(d*x + c)^4 + 23*(b*x + a)^2*B*a^6*b^2*d^8*g^3*i*n/(d*x + c)^2 + 18*(b*x + a)^3*B*a^5*b^2*c*d^8*g^3*i*n/(d*x + c)^3 - 90*(b*x + a)^4*B*a^4*b^2*c^2*d^8*g^3*i*n/(d*x + c)^4 - 3*(b*x + a)^3*B*a^6*b*d^9*g^3*i*n/(d*x + c)^3 + 36*(b*x + a)^4*B*a^5*b*c*d^9*g^3*i*n/(d*x + c)^4 - 6*(b*x + a)^4*B*a^6*d^10*g^3*i*n/(d*x + c)^4 + 6*A*b^10*c^6*g^3*i + 6*B*b^10*c^6*g^3*i - 36*A*a*b^9*c^5*d*g^3*i - 36*B*a*b^9*c^5*d*g^3*i - 30*(b*x + a)*A*b^9*c^6*d*g^3*i/(d*x + c) - 30*(b*x + a)*B*b^9*c^6*d*g^3*i/(d*x + c) + 90*A*a^2*b^8*c^4*d^2*g^3*i + 90*B*a^2*b^8*c^4*d^2*g^3*i + 180*(b*x + a)*A*a*b^8*c^5*d^2*g^3*i/(d*x + c) + 180*(b*x + a)*B*a*b^8*c^5*d^2*g^3*i/(d*x + c) + 60*(b*x + a)^2*A*b^8*c^6*d^2*g^3*i/(d*x + c)^2 + 60*(b*x + a)^2*B*b^8*c^6*d^2*g^3*i/(d*x + c)^2 - 120*A*a^3*b^7*c^3*d^3*g^3*i - 120*B*a^3*b^7*c^3*d^3*g^3*i - 450*(b*x + a)*A*a^2*b^7*c^4*d^3*g^3*i/(d*x + c) - 450*(b*x + a)*B*a^2*b^7*c^4*d^3*g^3*i/(d*x + c) - 360*(b*x + a)^2*A*a*b^7*c^5*d^3*g^3*i/(d*x + c)^2 - 360*(b*x + a)^2*B*a*b^7*c^5*d^3*g^3*i/(d*x + c)^2 - 60*(b*x + a)^3*A*b^7*c^6*d^3*g^3*i/(d*x + c)^3 - 60*(b*x + a)^3*B*b^7*c^6*d^3*g^3*i/(d*x + c)^3 + 90*A*a^4*b^6*c^2*d^4*g^3*i + 90*B*a^4*b^6*c^2*d^4*g^3*i + 600*(b*x + a)*A*a^3*b^6*c^3*d^4*g^3*i/(d*x + c) + 600*(b*x + a)*B*a^3*b^6*c^3*d^4*g^3*i/(d*x + c) + 900*(b*x + a)^2*A*a^2*b^6*c^4*d^4*g^3*i/(d*x + c)^2 + 900*(b*x + a)^2*B*a^2*b^6*c^4*d^4*g^3*i/(d*x + c)^2 + 360*(b*x + a)^3*A*a*b^6*c^5*d^4*g^3*i/(d*x + c)^3 + 360*(b*x + a)^3*B*a*b^6*c^5*d^4*g^3*i/(d*x + c)^3 - 36*A*a^5*b^5*c*d^5*g^3*i - 36*B*a^5*b^5*c*d^5*g^3*i - 450*(b*x + a)*A*a^4*b^5*c^2*d^5*g^3*i/(d*x + c) - 450*(b*x + a)*B*a^4*b^5*c^2*d^5*g^3*i/(d*x + c) - 1200*(b*x + a)^2*A*a^3*b^5*c^3*d^5*g^3*i/(d*x + c)^2 - 1200*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g^3*i/(d*x + c)^2 - 900*(b*x + a)^3*A*a^2*b^5*c^4*d^5*g^3*i/(d*x + c)^3 - 900*(b*x + a)^3*B*a^2*b^5*c^4*d^5*g^3*i/(d*x + c)^3 + 6*A*a^6*b^4*d^6*g^3*i + 6*B*a^6*b^4*d^6*g^3*i + 180*(b*x + a)*A*a^5*b^4*c*d^6*g^3*i/(d*x + c) + 180*(b*x + a)*B*a^5*b^4*c*d^6*g^3*i/(d*x + c) + 900*(b*x + a)^2*A*a^4*b^4*c^2*d^6*g^3*i/(d*x + c)^2 + 900*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g^3*i/(d*x + c)^2 + 1200*(b*x + a)^3*A*a^3*b^4*c^3*d^6*g^3*i/(d*x + c)^3 + 1200*(b*x + a)^3*B*a^3*b^4*c^3*d^6*g^3*i/(d*x + c)^3 - 30*(b*x + a)*A*a^6*b^3*d^7*g^3*i/(d*x + c) - 30*(b*x + a)*B*a^6*b^3*d^7*g^3*i/(d*x + c) - 360*(b*x + a)^2*A*a^5*b^3*c*d^7*g^3*i/(d*x + c)^2 - 360*(b*x + a)^2*B*a^5*b^3*c*d^7*g^3*i/(d*x + c)^2 - 900*(b*x + a)^3*A*a^4*b^3*c^2*d^7*g^3*i/(d*x + c)^3 - 900*(b*x + a)^3*B*a^4*b^3*c^2*d^7*g^3*i/(d*x + c)^3 + 60*(b*x + a)^2*A*a^6*b^2*d^8*g^3*i/(d*x + c)^2 + 60*(b*x + a)^2*B*a^6*b^2*d^8*g^3*i/(d*x + c)^2 + 360*(b*x + a)^3*A*a^5*b^2*c*d^8*g^3*i/(d*x + c)^3 + 360*(b*x + a)^3*B*a^5*b^2*c*d^8*g^3*i/(d*x + c)^3 - 60*(b*x + a)^3*A*a^6*b*d^9*g^3*i/(d*x + c)^3 - 60*(b*x + a)^3*B*a^6*b*d^9*g^3*i/(d*x + c)^3)/(b^6*d^4 - 5*(b*x + a)*b^5*d^5/(d*x + c) + 10*(b*x + a)^2*b^4*d^6/(d*x + c)^2 - 10*(b*x + a)^3*b^3*d^7/(d*x + c)^3 + 5*(b*x + a)^4*b^2*d^8/(d*x + c)^4 - (b*x + a)^5*b*d^9/(d*x + c)^5) + 6*(B*b^6*c^6*g^3*i*n - 6*B*a*b^5*c^5*d*g^3*i*n + 15*B*a^2*b^4*c^4*d^2*g^3*i*n - 20*B*a^3*b^3*c^3*d^3*g^3*i*n + 15*B*a^4*b^2*c^2*d^4*g^3*i*n - 6*B*a^5*b*c*d^5*g^3*i*n + B*a^6*d^6*g^3*i*n)*log(b - (b*x + a)*d/(d*x + c))/(b^2*d^4) - 6*(B*b^6*c^6*g^3*i*n - 6*B*a*b^5*c^5*d*g^3*i*n + 15*B*a^2*b^4*c^4*d^2*g^3*i*n - 20*B*a^3*b^3*c^3*d^3*g^3*i*n + 15*B*a^4*b^2*c^2*d^4*g^3*i*n - 6*B*a^5*b*c*d^5*g^3*i*n + B*a^6*d^6*g^3*i*n)*log((b*x + a)/(d*x + c))/(b^2*d^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
109,1,2535,0,3.600595," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{24} \, {\left(\frac{2 \, {\left(B b^{7} c^{5} g^{2} i n - 5 \, B a b^{6} c^{4} d g^{2} i n - \frac{4 \, {\left(b x + a\right)} B b^{6} c^{5} d g^{2} i n}{d x + c} + 10 \, B a^{2} b^{5} c^{3} d^{2} g^{2} i n + \frac{20 \, {\left(b x + a\right)} B a b^{5} c^{4} d^{2} g^{2} i n}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B b^{5} c^{5} d^{2} g^{2} i n}{{\left(d x + c\right)}^{2}} - 10 \, B a^{3} b^{4} c^{2} d^{3} g^{2} i n - \frac{40 \, {\left(b x + a\right)} B a^{2} b^{4} c^{3} d^{3} g^{2} i n}{d x + c} - \frac{30 \, {\left(b x + a\right)}^{2} B a b^{4} c^{4} d^{3} g^{2} i n}{{\left(d x + c\right)}^{2}} + 5 \, B a^{4} b^{3} c d^{4} g^{2} i n + \frac{40 \, {\left(b x + a\right)} B a^{3} b^{3} c^{2} d^{4} g^{2} i n}{d x + c} + \frac{60 \, {\left(b x + a\right)}^{2} B a^{2} b^{3} c^{3} d^{4} g^{2} i n}{{\left(d x + c\right)}^{2}} - B a^{5} b^{2} d^{5} g^{2} i n - \frac{20 \, {\left(b x + a\right)} B a^{4} b^{2} c d^{5} g^{2} i n}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} B a^{3} b^{2} c^{2} d^{5} g^{2} i n}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x + a\right)} B a^{5} b d^{6} g^{2} i n}{d x + c} + \frac{30 \, {\left(b x + a\right)}^{2} B a^{4} b c d^{6} g^{2} i n}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{5} d^{7} g^{2} i n}{{\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{4} d^{3} - \frac{4 \, {\left(b x + a\right)} b^{3} d^{4}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b^{2} d^{5}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b d^{6}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{4} d^{7}}{{\left(d x + c\right)}^{4}}} + \frac{B b^{8} c^{5} g^{2} i n - 5 \, B a b^{7} c^{4} d g^{2} i n - \frac{2 \, {\left(b x + a\right)} B b^{7} c^{5} d g^{2} i n}{d x + c} + 10 \, B a^{2} b^{6} c^{3} d^{2} g^{2} i n + \frac{10 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} g^{2} i n}{d x + c} - \frac{{\left(b x + a\right)}^{2} B b^{6} c^{5} d^{2} g^{2} i n}{{\left(d x + c\right)}^{2}} - 10 \, B a^{3} b^{5} c^{2} d^{3} g^{2} i n - \frac{20 \, {\left(b x + a\right)} B a^{2} b^{5} c^{3} d^{3} g^{2} i n}{d x + c} + \frac{5 \, {\left(b x + a\right)}^{2} B a b^{5} c^{4} d^{3} g^{2} i n}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x + a\right)}^{3} B b^{5} c^{5} d^{3} g^{2} i n}{{\left(d x + c\right)}^{3}} + 5 \, B a^{4} b^{4} c d^{4} g^{2} i n + \frac{20 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} g^{2} i n}{d x + c} - \frac{10 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{3} d^{4} g^{2} i n}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} B a b^{4} c^{4} d^{4} g^{2} i n}{{\left(d x + c\right)}^{3}} - B a^{5} b^{3} d^{5} g^{2} i n - \frac{10 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} g^{2} i n}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{2} d^{5} g^{2} i n}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{3} d^{5} g^{2} i n}{{\left(d x + c\right)}^{3}} + \frac{2 \, {\left(b x + a\right)} B a^{5} b^{2} d^{6} g^{2} i n}{d x + c} - \frac{5 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} c d^{6} g^{2} i n}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x + a\right)}^{3} B a^{3} b^{2} c^{2} d^{6} g^{2} i n}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{2} B a^{5} b d^{7} g^{2} i n}{{\left(d x + c\right)}^{2}} + \frac{10 \, {\left(b x + a\right)}^{3} B a^{4} b c d^{7} g^{2} i n}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x + a\right)}^{3} B a^{5} d^{8} g^{2} i n}{{\left(d x + c\right)}^{3}} + 2 \, A b^{8} c^{5} g^{2} i + 2 \, B b^{8} c^{5} g^{2} i - 10 \, A a b^{7} c^{4} d g^{2} i - 10 \, B a b^{7} c^{4} d g^{2} i - \frac{8 \, {\left(b x + a\right)} A b^{7} c^{5} d g^{2} i}{d x + c} - \frac{8 \, {\left(b x + a\right)} B b^{7} c^{5} d g^{2} i}{d x + c} + 20 \, A a^{2} b^{6} c^{3} d^{2} g^{2} i + 20 \, B a^{2} b^{6} c^{3} d^{2} g^{2} i + \frac{40 \, {\left(b x + a\right)} A a b^{6} c^{4} d^{2} g^{2} i}{d x + c} + \frac{40 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} g^{2} i}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A b^{6} c^{5} d^{2} g^{2} i}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B b^{6} c^{5} d^{2} g^{2} i}{{\left(d x + c\right)}^{2}} - 20 \, A a^{3} b^{5} c^{2} d^{3} g^{2} i - 20 \, B a^{3} b^{5} c^{2} d^{3} g^{2} i - \frac{80 \, {\left(b x + a\right)} A a^{2} b^{5} c^{3} d^{3} g^{2} i}{d x + c} - \frac{80 \, {\left(b x + a\right)} B a^{2} b^{5} c^{3} d^{3} g^{2} i}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} A a b^{5} c^{4} d^{3} g^{2} i}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x + a\right)}^{2} B a b^{5} c^{4} d^{3} g^{2} i}{{\left(d x + c\right)}^{2}} + 10 \, A a^{4} b^{4} c d^{4} g^{2} i + 10 \, B a^{4} b^{4} c d^{4} g^{2} i + \frac{80 \, {\left(b x + a\right)} A a^{3} b^{4} c^{2} d^{4} g^{2} i}{d x + c} + \frac{80 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} g^{2} i}{d x + c} + \frac{120 \, {\left(b x + a\right)}^{2} A a^{2} b^{4} c^{3} d^{4} g^{2} i}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{3} d^{4} g^{2} i}{{\left(d x + c\right)}^{2}} - 2 \, A a^{5} b^{3} d^{5} g^{2} i - 2 \, B a^{5} b^{3} d^{5} g^{2} i - \frac{40 \, {\left(b x + a\right)} A a^{4} b^{3} c d^{5} g^{2} i}{d x + c} - \frac{40 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} g^{2} i}{d x + c} - \frac{120 \, {\left(b x + a\right)}^{2} A a^{3} b^{3} c^{2} d^{5} g^{2} i}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{2} d^{5} g^{2} i}{{\left(d x + c\right)}^{2}} + \frac{8 \, {\left(b x + a\right)} A a^{5} b^{2} d^{6} g^{2} i}{d x + c} + \frac{8 \, {\left(b x + a\right)} B a^{5} b^{2} d^{6} g^{2} i}{d x + c} + \frac{60 \, {\left(b x + a\right)}^{2} A a^{4} b^{2} c d^{6} g^{2} i}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} c d^{6} g^{2} i}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{2} A a^{5} b d^{7} g^{2} i}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{2} B a^{5} b d^{7} g^{2} i}{{\left(d x + c\right)}^{2}}}{b^{5} d^{3} - \frac{4 \, {\left(b x + a\right)} b^{4} d^{4}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b^{3} d^{5}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b^{2} d^{6}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{4} b d^{7}}{{\left(d x + c\right)}^{4}}} + \frac{2 \, {\left(B b^{5} c^{5} g^{2} i n - 5 \, B a b^{4} c^{4} d g^{2} i n + 10 \, B a^{2} b^{3} c^{3} d^{2} g^{2} i n - 10 \, B a^{3} b^{2} c^{2} d^{3} g^{2} i n + 5 \, B a^{4} b c d^{4} g^{2} i n - B a^{5} d^{5} g^{2} i n\right)} \log\left(-b + \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{2} d^{3}} - \frac{2 \, {\left(B b^{5} c^{5} g^{2} i n - 5 \, B a b^{4} c^{4} d g^{2} i n + 10 \, B a^{2} b^{3} c^{3} d^{2} g^{2} i n - 10 \, B a^{3} b^{2} c^{2} d^{3} g^{2} i n + 5 \, B a^{4} b c d^{4} g^{2} i n - B a^{5} d^{5} g^{2} i n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} d^{3}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/24*(2*(B*b^7*c^5*g^2*i*n - 5*B*a*b^6*c^4*d*g^2*i*n - 4*(b*x + a)*B*b^6*c^5*d*g^2*i*n/(d*x + c) + 10*B*a^2*b^5*c^3*d^2*g^2*i*n + 20*(b*x + a)*B*a*b^5*c^4*d^2*g^2*i*n/(d*x + c) + 6*(b*x + a)^2*B*b^5*c^5*d^2*g^2*i*n/(d*x + c)^2 - 10*B*a^3*b^4*c^2*d^3*g^2*i*n - 40*(b*x + a)*B*a^2*b^4*c^3*d^3*g^2*i*n/(d*x + c) - 30*(b*x + a)^2*B*a*b^4*c^4*d^3*g^2*i*n/(d*x + c)^2 + 5*B*a^4*b^3*c*d^4*g^2*i*n + 40*(b*x + a)*B*a^3*b^3*c^2*d^4*g^2*i*n/(d*x + c) + 60*(b*x + a)^2*B*a^2*b^3*c^3*d^4*g^2*i*n/(d*x + c)^2 - B*a^5*b^2*d^5*g^2*i*n - 20*(b*x + a)*B*a^4*b^2*c*d^5*g^2*i*n/(d*x + c) - 60*(b*x + a)^2*B*a^3*b^2*c^2*d^5*g^2*i*n/(d*x + c)^2 + 4*(b*x + a)*B*a^5*b*d^6*g^2*i*n/(d*x + c) + 30*(b*x + a)^2*B*a^4*b*c*d^6*g^2*i*n/(d*x + c)^2 - 6*(b*x + a)^2*B*a^5*d^7*g^2*i*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/(b^4*d^3 - 4*(b*x + a)*b^3*d^4/(d*x + c) + 6*(b*x + a)^2*b^2*d^5/(d*x + c)^2 - 4*(b*x + a)^3*b*d^6/(d*x + c)^3 + (b*x + a)^4*d^7/(d*x + c)^4) + (B*b^8*c^5*g^2*i*n - 5*B*a*b^7*c^4*d*g^2*i*n - 2*(b*x + a)*B*b^7*c^5*d*g^2*i*n/(d*x + c) + 10*B*a^2*b^6*c^3*d^2*g^2*i*n + 10*(b*x + a)*B*a*b^6*c^4*d^2*g^2*i*n/(d*x + c) - (b*x + a)^2*B*b^6*c^5*d^2*g^2*i*n/(d*x + c)^2 - 10*B*a^3*b^5*c^2*d^3*g^2*i*n - 20*(b*x + a)*B*a^2*b^5*c^3*d^3*g^2*i*n/(d*x + c) + 5*(b*x + a)^2*B*a*b^5*c^4*d^3*g^2*i*n/(d*x + c)^2 + 2*(b*x + a)^3*B*b^5*c^5*d^3*g^2*i*n/(d*x + c)^3 + 5*B*a^4*b^4*c*d^4*g^2*i*n + 20*(b*x + a)*B*a^3*b^4*c^2*d^4*g^2*i*n/(d*x + c) - 10*(b*x + a)^2*B*a^2*b^4*c^3*d^4*g^2*i*n/(d*x + c)^2 - 10*(b*x + a)^3*B*a*b^4*c^4*d^4*g^2*i*n/(d*x + c)^3 - B*a^5*b^3*d^5*g^2*i*n - 10*(b*x + a)*B*a^4*b^3*c*d^5*g^2*i*n/(d*x + c) + 10*(b*x + a)^2*B*a^3*b^3*c^2*d^5*g^2*i*n/(d*x + c)^2 + 20*(b*x + a)^3*B*a^2*b^3*c^3*d^5*g^2*i*n/(d*x + c)^3 + 2*(b*x + a)*B*a^5*b^2*d^6*g^2*i*n/(d*x + c) - 5*(b*x + a)^2*B*a^4*b^2*c*d^6*g^2*i*n/(d*x + c)^2 - 20*(b*x + a)^3*B*a^3*b^2*c^2*d^6*g^2*i*n/(d*x + c)^3 + (b*x + a)^2*B*a^5*b*d^7*g^2*i*n/(d*x + c)^2 + 10*(b*x + a)^3*B*a^4*b*c*d^7*g^2*i*n/(d*x + c)^3 - 2*(b*x + a)^3*B*a^5*d^8*g^2*i*n/(d*x + c)^3 + 2*A*b^8*c^5*g^2*i + 2*B*b^8*c^5*g^2*i - 10*A*a*b^7*c^4*d*g^2*i - 10*B*a*b^7*c^4*d*g^2*i - 8*(b*x + a)*A*b^7*c^5*d*g^2*i/(d*x + c) - 8*(b*x + a)*B*b^7*c^5*d*g^2*i/(d*x + c) + 20*A*a^2*b^6*c^3*d^2*g^2*i + 20*B*a^2*b^6*c^3*d^2*g^2*i + 40*(b*x + a)*A*a*b^6*c^4*d^2*g^2*i/(d*x + c) + 40*(b*x + a)*B*a*b^6*c^4*d^2*g^2*i/(d*x + c) + 12*(b*x + a)^2*A*b^6*c^5*d^2*g^2*i/(d*x + c)^2 + 12*(b*x + a)^2*B*b^6*c^5*d^2*g^2*i/(d*x + c)^2 - 20*A*a^3*b^5*c^2*d^3*g^2*i - 20*B*a^3*b^5*c^2*d^3*g^2*i - 80*(b*x + a)*A*a^2*b^5*c^3*d^3*g^2*i/(d*x + c) - 80*(b*x + a)*B*a^2*b^5*c^3*d^3*g^2*i/(d*x + c) - 60*(b*x + a)^2*A*a*b^5*c^4*d^3*g^2*i/(d*x + c)^2 - 60*(b*x + a)^2*B*a*b^5*c^4*d^3*g^2*i/(d*x + c)^2 + 10*A*a^4*b^4*c*d^4*g^2*i + 10*B*a^4*b^4*c*d^4*g^2*i + 80*(b*x + a)*A*a^3*b^4*c^2*d^4*g^2*i/(d*x + c) + 80*(b*x + a)*B*a^3*b^4*c^2*d^4*g^2*i/(d*x + c) + 120*(b*x + a)^2*A*a^2*b^4*c^3*d^4*g^2*i/(d*x + c)^2 + 120*(b*x + a)^2*B*a^2*b^4*c^3*d^4*g^2*i/(d*x + c)^2 - 2*A*a^5*b^3*d^5*g^2*i - 2*B*a^5*b^3*d^5*g^2*i - 40*(b*x + a)*A*a^4*b^3*c*d^5*g^2*i/(d*x + c) - 40*(b*x + a)*B*a^4*b^3*c*d^5*g^2*i/(d*x + c) - 120*(b*x + a)^2*A*a^3*b^3*c^2*d^5*g^2*i/(d*x + c)^2 - 120*(b*x + a)^2*B*a^3*b^3*c^2*d^5*g^2*i/(d*x + c)^2 + 8*(b*x + a)*A*a^5*b^2*d^6*g^2*i/(d*x + c) + 8*(b*x + a)*B*a^5*b^2*d^6*g^2*i/(d*x + c) + 60*(b*x + a)^2*A*a^4*b^2*c*d^6*g^2*i/(d*x + c)^2 + 60*(b*x + a)^2*B*a^4*b^2*c*d^6*g^2*i/(d*x + c)^2 - 12*(b*x + a)^2*A*a^5*b*d^7*g^2*i/(d*x + c)^2 - 12*(b*x + a)^2*B*a^5*b*d^7*g^2*i/(d*x + c)^2)/(b^5*d^3 - 4*(b*x + a)*b^4*d^4/(d*x + c) + 6*(b*x + a)^2*b^3*d^5/(d*x + c)^2 - 4*(b*x + a)^3*b^2*d^6/(d*x + c)^3 + (b*x + a)^4*b*d^7/(d*x + c)^4) + 2*(B*b^5*c^5*g^2*i*n - 5*B*a*b^4*c^4*d*g^2*i*n + 10*B*a^2*b^3*c^3*d^2*g^2*i*n - 10*B*a^3*b^2*c^2*d^3*g^2*i*n + 5*B*a^4*b*c*d^4*g^2*i*n - B*a^5*d^5*g^2*i*n)*log(-b + (b*x + a)*d/(d*x + c))/(b^2*d^3) - 2*(B*b^5*c^5*g^2*i*n - 5*B*a*b^4*c^4*d*g^2*i*n + 10*B*a^2*b^3*c^3*d^2*g^2*i*n - 10*B*a^3*b^2*c^2*d^3*g^2*i*n + 5*B*a^4*b*c*d^4*g^2*i*n - B*a^5*d^5*g^2*i*n)*log((b*x + a)/(d*x + c))/(b^2*d^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
110,1,1256,0,1.953447," ","integrate((b*g*x+a*g)*(d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","-\frac{1}{6} \, {\left(\frac{{\left(B b^{5} c^{4} g i n - 4 \, B a b^{4} c^{3} d g i n - \frac{3 \, {\left(b x + a\right)} B b^{4} c^{4} d g i n}{d x + c} + 6 \, B a^{2} b^{3} c^{2} d^{2} g i n + \frac{12 \, {\left(b x + a\right)} B a b^{3} c^{3} d^{2} g i n}{d x + c} - 4 \, B a^{3} b^{2} c d^{3} g i n - \frac{18 \, {\left(b x + a\right)} B a^{2} b^{2} c^{2} d^{3} g i n}{d x + c} + B a^{4} b d^{4} g i n + \frac{12 \, {\left(b x + a\right)} B a^{3} b c d^{4} g i n}{d x + c} - \frac{3 \, {\left(b x + a\right)} B a^{4} d^{5} g i n}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{3} d^{2} - \frac{3 \, {\left(b x + a\right)} b^{2} d^{3}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} b d^{4}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} d^{5}}{{\left(d x + c\right)}^{3}}} + \frac{\frac{{\left(b x + a\right)} B b^{5} c^{4} d g i n}{d x + c} - \frac{4 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} g i n}{d x + c} - \frac{{\left(b x + a\right)}^{2} B b^{4} c^{4} d^{2} g i n}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} g i n}{d x + c} + \frac{4 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{3} g i n}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} g i n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{4} g i n}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x + a\right)} B a^{4} b d^{5} g i n}{d x + c} + \frac{4 \, {\left(b x + a\right)}^{2} B a^{3} b c d^{5} g i n}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{2} B a^{4} d^{6} g i n}{{\left(d x + c\right)}^{2}} + A b^{6} c^{4} g i + B b^{6} c^{4} g i - 4 \, A a b^{5} c^{3} d g i - 4 \, B a b^{5} c^{3} d g i - \frac{3 \, {\left(b x + a\right)} A b^{5} c^{4} d g i}{d x + c} - \frac{3 \, {\left(b x + a\right)} B b^{5} c^{4} d g i}{d x + c} + 6 \, A a^{2} b^{4} c^{2} d^{2} g i + 6 \, B a^{2} b^{4} c^{2} d^{2} g i + \frac{12 \, {\left(b x + a\right)} A a b^{4} c^{3} d^{2} g i}{d x + c} + \frac{12 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} g i}{d x + c} - 4 \, A a^{3} b^{3} c d^{3} g i - 4 \, B a^{3} b^{3} c d^{3} g i - \frac{18 \, {\left(b x + a\right)} A a^{2} b^{3} c^{2} d^{3} g i}{d x + c} - \frac{18 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} g i}{d x + c} + A a^{4} b^{2} d^{4} g i + B a^{4} b^{2} d^{4} g i + \frac{12 \, {\left(b x + a\right)} A a^{3} b^{2} c d^{4} g i}{d x + c} + \frac{12 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} g i}{d x + c} - \frac{3 \, {\left(b x + a\right)} A a^{4} b d^{5} g i}{d x + c} - \frac{3 \, {\left(b x + a\right)} B a^{4} b d^{5} g i}{d x + c}}{b^{4} d^{2} - \frac{3 \, {\left(b x + a\right)} b^{3} d^{3}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} b^{2} d^{4}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} b d^{5}}{{\left(d x + c\right)}^{3}}} + \frac{{\left(B b^{4} c^{4} g i n - 4 \, B a b^{3} c^{3} d g i n + 6 \, B a^{2} b^{2} c^{2} d^{2} g i n - 4 \, B a^{3} b c d^{3} g i n + B a^{4} d^{4} g i n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{2} d^{2}} - \frac{{\left(B b^{4} c^{4} g i n - 4 \, B a b^{3} c^{3} d g i n + 6 \, B a^{2} b^{2} c^{2} d^{2} g i n - 4 \, B a^{3} b c d^{3} g i n + B a^{4} d^{4} g i n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} d^{2}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/6*((B*b^5*c^4*g*i*n - 4*B*a*b^4*c^3*d*g*i*n - 3*(b*x + a)*B*b^4*c^4*d*g*i*n/(d*x + c) + 6*B*a^2*b^3*c^2*d^2*g*i*n + 12*(b*x + a)*B*a*b^3*c^3*d^2*g*i*n/(d*x + c) - 4*B*a^3*b^2*c*d^3*g*i*n - 18*(b*x + a)*B*a^2*b^2*c^2*d^3*g*i*n/(d*x + c) + B*a^4*b*d^4*g*i*n + 12*(b*x + a)*B*a^3*b*c*d^4*g*i*n/(d*x + c) - 3*(b*x + a)*B*a^4*d^5*g*i*n/(d*x + c))*log((b*x + a)/(d*x + c))/(b^3*d^2 - 3*(b*x + a)*b^2*d^3/(d*x + c) + 3*(b*x + a)^2*b*d^4/(d*x + c)^2 - (b*x + a)^3*d^5/(d*x + c)^3) + ((b*x + a)*B*b^5*c^4*d*g*i*n/(d*x + c) - 4*(b*x + a)*B*a*b^4*c^3*d^2*g*i*n/(d*x + c) - (b*x + a)^2*B*b^4*c^4*d^2*g*i*n/(d*x + c)^2 + 6*(b*x + a)*B*a^2*b^3*c^2*d^3*g*i*n/(d*x + c) + 4*(b*x + a)^2*B*a*b^3*c^3*d^3*g*i*n/(d*x + c)^2 - 4*(b*x + a)*B*a^3*b^2*c*d^4*g*i*n/(d*x + c) - 6*(b*x + a)^2*B*a^2*b^2*c^2*d^4*g*i*n/(d*x + c)^2 + (b*x + a)*B*a^4*b*d^5*g*i*n/(d*x + c) + 4*(b*x + a)^2*B*a^3*b*c*d^5*g*i*n/(d*x + c)^2 - (b*x + a)^2*B*a^4*d^6*g*i*n/(d*x + c)^2 + A*b^6*c^4*g*i + B*b^6*c^4*g*i - 4*A*a*b^5*c^3*d*g*i - 4*B*a*b^5*c^3*d*g*i - 3*(b*x + a)*A*b^5*c^4*d*g*i/(d*x + c) - 3*(b*x + a)*B*b^5*c^4*d*g*i/(d*x + c) + 6*A*a^2*b^4*c^2*d^2*g*i + 6*B*a^2*b^4*c^2*d^2*g*i + 12*(b*x + a)*A*a*b^4*c^3*d^2*g*i/(d*x + c) + 12*(b*x + a)*B*a*b^4*c^3*d^2*g*i/(d*x + c) - 4*A*a^3*b^3*c*d^3*g*i - 4*B*a^3*b^3*c*d^3*g*i - 18*(b*x + a)*A*a^2*b^3*c^2*d^3*g*i/(d*x + c) - 18*(b*x + a)*B*a^2*b^3*c^2*d^3*g*i/(d*x + c) + A*a^4*b^2*d^4*g*i + B*a^4*b^2*d^4*g*i + 12*(b*x + a)*A*a^3*b^2*c*d^4*g*i/(d*x + c) + 12*(b*x + a)*B*a^3*b^2*c*d^4*g*i/(d*x + c) - 3*(b*x + a)*A*a^4*b*d^5*g*i/(d*x + c) - 3*(b*x + a)*B*a^4*b*d^5*g*i/(d*x + c))/(b^4*d^2 - 3*(b*x + a)*b^3*d^3/(d*x + c) + 3*(b*x + a)^2*b^2*d^4/(d*x + c)^2 - (b*x + a)^3*b*d^5/(d*x + c)^3) + (B*b^4*c^4*g*i*n - 4*B*a*b^3*c^3*d*g*i*n + 6*B*a^2*b^2*c^2*d^2*g*i*n - 4*B*a^3*b*c*d^3*g*i*n + B*a^4*d^4*g*i*n)*log(b - (b*x + a)*d/(d*x + c))/(b^2*d^2) - (B*b^4*c^4*g*i*n - 4*B*a*b^3*c^3*d*g*i*n + 6*B*a^2*b^2*c^2*d^2*g*i*n - 4*B*a^3*b*c*d^3*g*i*n + B*a^4*d^4*g*i*n)*log((b*x + a)/(d*x + c))/(b^2*d^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
111,1,572,0,0.779491," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{{\left(B b^{3} c^{3} i n - 3 \, B a b^{2} c^{2} d i n + 3 \, B a^{2} b c d^{2} i n - B a^{3} d^{3} i n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} d - \frac{2 \, {\left(b x + a\right)} b d^{2}}{d x + c} + \frac{{\left(b x + a\right)}^{2} d^{3}}{{\left(d x + c\right)}^{2}}} - \frac{B b^{4} c^{3} i n - 3 \, B a b^{3} c^{2} d i n - \frac{{\left(b x + a\right)} B b^{3} c^{3} d i n}{d x + c} + 3 \, B a^{2} b^{2} c d^{2} i n + \frac{3 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{2} i n}{d x + c} - B a^{3} b d^{3} i n - \frac{3 \, {\left(b x + a\right)} B a^{2} b c d^{3} i n}{d x + c} + \frac{{\left(b x + a\right)} B a^{3} d^{4} i n}{d x + c} - A b^{4} c^{3} i - B b^{4} c^{3} i + 3 \, A a b^{3} c^{2} d i + 3 \, B a b^{3} c^{2} d i - 3 \, A a^{2} b^{2} c d^{2} i - 3 \, B a^{2} b^{2} c d^{2} i + A a^{3} b d^{3} i + B a^{3} b d^{3} i}{b^{3} d - \frac{2 \, {\left(b x + a\right)} b^{2} d^{2}}{d x + c} + \frac{{\left(b x + a\right)}^{2} b d^{3}}{{\left(d x + c\right)}^{2}}} + \frac{{\left(B b^{3} c^{3} i n - 3 \, B a b^{2} c^{2} d i n + 3 \, B a^{2} b c d^{2} i n - B a^{3} d^{3} i n\right)} \log\left(-b + \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{2} d} - \frac{{\left(B b^{3} c^{3} i n - 3 \, B a b^{2} c^{2} d i n + 3 \, B a^{2} b c d^{2} i n - B a^{3} d^{3} i n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} d}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/2*((B*b^3*c^3*i*n - 3*B*a*b^2*c^2*d*i*n + 3*B*a^2*b*c*d^2*i*n - B*a^3*d^3*i*n)*log((b*x + a)/(d*x + c))/(b^2*d - 2*(b*x + a)*b*d^2/(d*x + c) + (b*x + a)^2*d^3/(d*x + c)^2) - (B*b^4*c^3*i*n - 3*B*a*b^3*c^2*d*i*n - (b*x + a)*B*b^3*c^3*d*i*n/(d*x + c) + 3*B*a^2*b^2*c*d^2*i*n + 3*(b*x + a)*B*a*b^2*c^2*d^2*i*n/(d*x + c) - B*a^3*b*d^3*i*n - 3*(b*x + a)*B*a^2*b*c*d^3*i*n/(d*x + c) + (b*x + a)*B*a^3*d^4*i*n/(d*x + c) - A*b^4*c^3*i - B*b^4*c^3*i + 3*A*a*b^3*c^2*d*i + 3*B*a*b^3*c^2*d*i - 3*A*a^2*b^2*c*d^2*i - 3*B*a^2*b^2*c*d^2*i + A*a^3*b*d^3*i + B*a^3*b*d^3*i)/(b^3*d - 2*(b*x + a)*b^2*d^2/(d*x + c) + (b*x + a)^2*b*d^3/(d*x + c)^2) + (B*b^3*c^3*i*n - 3*B*a*b^2*c^2*d*i*n + 3*B*a^2*b*c*d^2*i*n - B*a^3*d^3*i*n)*log(-b + (b*x + a)*d/(d*x + c))/(b^2*d) - (B*b^3*c^3*i*n - 3*B*a*b^2*c^2*d*i*n + 3*B*a^2*b*c*d^2*i*n - B*a^3*d^3*i*n)*log((b*x + a)/(d*x + c))/(b^2*d))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
112,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
114,1,98,0,7.178916," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^3,x, algorithm=""giac"")","-\frac{1}{4} \, {\left(\frac{2 \, {\left(d x + c\right)}^{2} B i n \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b x + a\right)}^{2} g^{3}} + \frac{{\left(B i n + 2 \, A i + 2 \, B i\right)} {\left(d x + c\right)}^{2}}{{\left(b x + a\right)}^{2} g^{3}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/4*(2*(d*x + c)^2*B*i*n*log((b*x + a)/(d*x + c))/((b*x + a)^2*g^3) + (B*i*n + 2*A*i + 2*B*i)*(d*x + c)^2/((b*x + a)^2*g^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
115,1,230,0,11.764831," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{1}{36} \, {\left(\frac{6 \, {\left(2 \, B b i n - \frac{3 \, {\left(b x + a\right)} B d i n}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{\frac{{\left(b x + a\right)}^{3} b c g^{4}}{{\left(d x + c\right)}^{3}} - \frac{{\left(b x + a\right)}^{3} a d g^{4}}{{\left(d x + c\right)}^{3}}} + \frac{4 \, B b i n - \frac{9 \, {\left(b x + a\right)} B d i n}{d x + c} + 12 \, A b i + 12 \, B b i - \frac{18 \, {\left(b x + a\right)} A d i}{d x + c} - \frac{18 \, {\left(b x + a\right)} B d i}{d x + c}}{\frac{{\left(b x + a\right)}^{3} b c g^{4}}{{\left(d x + c\right)}^{3}} - \frac{{\left(b x + a\right)}^{3} a d g^{4}}{{\left(d x + c\right)}^{3}}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/36*(6*(2*B*b*i*n - 3*(b*x + a)*B*d*i*n/(d*x + c))*log((b*x + a)/(d*x + c))/((b*x + a)^3*b*c*g^4/(d*x + c)^3 - (b*x + a)^3*a*d*g^4/(d*x + c)^3) + (4*B*b*i*n - 9*(b*x + a)*B*d*i*n/(d*x + c) + 12*A*b*i + 12*B*b*i - 18*(b*x + a)*A*d*i/(d*x + c) - 18*(b*x + a)*B*d*i/(d*x + c))/((b*x + a)^3*b*c*g^4/(d*x + c)^3 - (b*x + a)^3*a*d*g^4/(d*x + c)^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
116,1,388,0,17.565954," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^5,x, algorithm=""giac"")","-\frac{1}{144} \, {\left(\frac{12 \, {\left(3 \, B b^{2} i n - \frac{8 \, {\left(b x + a\right)} B b d i n}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B d^{2} i n}{{\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{\frac{{\left(b x + a\right)}^{4} b^{2} c^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x + a\right)}^{4} a b c d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{{\left(b x + a\right)}^{4} a^{2} d^{2} g^{5}}{{\left(d x + c\right)}^{4}}} + \frac{9 \, B b^{2} i n - \frac{32 \, {\left(b x + a\right)} B b d i n}{d x + c} + \frac{36 \, {\left(b x + a\right)}^{2} B d^{2} i n}{{\left(d x + c\right)}^{2}} + 36 \, A b^{2} i + 36 \, B b^{2} i - \frac{96 \, {\left(b x + a\right)} A b d i}{d x + c} - \frac{96 \, {\left(b x + a\right)} B b d i}{d x + c} + \frac{72 \, {\left(b x + a\right)}^{2} A d^{2} i}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x + a\right)}^{2} B d^{2} i}{{\left(d x + c\right)}^{2}}}{\frac{{\left(b x + a\right)}^{4} b^{2} c^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x + a\right)}^{4} a b c d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{{\left(b x + a\right)}^{4} a^{2} d^{2} g^{5}}{{\left(d x + c\right)}^{4}}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/144*(12*(3*B*b^2*i*n - 8*(b*x + a)*B*b*d*i*n/(d*x + c) + 6*(b*x + a)^2*B*d^2*i*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/((b*x + a)^4*b^2*c^2*g^5/(d*x + c)^4 - 2*(b*x + a)^4*a*b*c*d*g^5/(d*x + c)^4 + (b*x + a)^4*a^2*d^2*g^5/(d*x + c)^4) + (9*B*b^2*i*n - 32*(b*x + a)*B*b*d*i*n/(d*x + c) + 36*(b*x + a)^2*B*d^2*i*n/(d*x + c)^2 + 36*A*b^2*i + 36*B*b^2*i - 96*(b*x + a)*A*b*d*i/(d*x + c) - 96*(b*x + a)*B*b*d*i/(d*x + c) + 72*(b*x + a)^2*A*d^2*i/(d*x + c)^2 + 72*(b*x + a)^2*B*d^2*i/(d*x + c)^2)/((b*x + a)^4*b^2*c^2*g^5/(d*x + c)^4 - 2*(b*x + a)^4*a*b*c*d*g^5/(d*x + c)^4 + (b*x + a)^4*a^2*d^2*g^5/(d*x + c)^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
117,1,4589,0,11.649453," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{360} \, {\left(\frac{6 \, {\left(B b^{10} c^{7} g^{3} n - 7 \, B a b^{9} c^{6} d g^{3} n - \frac{6 \, {\left(b x + a\right)} B b^{9} c^{7} d g^{3} n}{d x + c} + 21 \, B a^{2} b^{8} c^{5} d^{2} g^{3} n + \frac{42 \, {\left(b x + a\right)} B a b^{8} c^{6} d^{2} g^{3} n}{d x + c} + \frac{15 \, {\left(b x + a\right)}^{2} B b^{8} c^{7} d^{2} g^{3} n}{{\left(d x + c\right)}^{2}} - 35 \, B a^{3} b^{7} c^{4} d^{3} g^{3} n - \frac{126 \, {\left(b x + a\right)} B a^{2} b^{7} c^{5} d^{3} g^{3} n}{d x + c} - \frac{105 \, {\left(b x + a\right)}^{2} B a b^{7} c^{6} d^{3} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x + a\right)}^{3} B b^{7} c^{7} d^{3} g^{3} n}{{\left(d x + c\right)}^{3}} + 35 \, B a^{4} b^{6} c^{3} d^{4} g^{3} n + \frac{210 \, {\left(b x + a\right)} B a^{3} b^{6} c^{4} d^{4} g^{3} n}{d x + c} + \frac{315 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{5} d^{4} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{140 \, {\left(b x + a\right)}^{3} B a b^{6} c^{6} d^{4} g^{3} n}{{\left(d x + c\right)}^{3}} - 21 \, B a^{5} b^{5} c^{2} d^{5} g^{3} n - \frac{210 \, {\left(b x + a\right)} B a^{4} b^{5} c^{3} d^{5} g^{3} n}{d x + c} - \frac{525 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{4} d^{5} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{420 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{5} d^{5} g^{3} n}{{\left(d x + c\right)}^{3}} + 7 \, B a^{6} b^{4} c d^{6} g^{3} n + \frac{126 \, {\left(b x + a\right)} B a^{5} b^{4} c^{2} d^{6} g^{3} n}{d x + c} + \frac{525 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{3} d^{6} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{700 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{4} d^{6} g^{3} n}{{\left(d x + c\right)}^{3}} - B a^{7} b^{3} d^{7} g^{3} n - \frac{42 \, {\left(b x + a\right)} B a^{6} b^{3} c d^{7} g^{3} n}{d x + c} - \frac{315 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c^{2} d^{7} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{700 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} c^{3} d^{7} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{6 \, {\left(b x + a\right)} B a^{7} b^{2} d^{8} g^{3} n}{d x + c} + \frac{105 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} c d^{8} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{420 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} c^{2} d^{8} g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{15 \, {\left(b x + a\right)}^{2} B a^{7} b d^{9} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{140 \, {\left(b x + a\right)}^{3} B a^{6} b c d^{9} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{20 \, {\left(b x + a\right)}^{3} B a^{7} d^{10} g^{3} n}{{\left(d x + c\right)}^{3}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{6} d^{4} - \frac{6 \, {\left(b x + a\right)} b^{5} d^{5}}{d x + c} + \frac{15 \, {\left(b x + a\right)}^{2} b^{4} d^{6}}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x + a\right)}^{3} b^{3} d^{7}}{{\left(d x + c\right)}^{3}} + \frac{15 \, {\left(b x + a\right)}^{4} b^{2} d^{8}}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x + a\right)}^{5} b d^{9}}{{\left(d x + c\right)}^{5}} + \frac{{\left(b x + a\right)}^{6} d^{10}}{{\left(d x + c\right)}^{6}}} + \frac{2 \, B b^{12} c^{7} g^{3} n - 14 \, B a b^{11} c^{6} d g^{3} n - \frac{6 \, {\left(b x + a\right)} B b^{11} c^{7} d g^{3} n}{d x + c} + 42 \, B a^{2} b^{10} c^{5} d^{2} g^{3} n + \frac{42 \, {\left(b x + a\right)} B a b^{10} c^{6} d^{2} g^{3} n}{d x + c} - \frac{3 \, {\left(b x + a\right)}^{2} B b^{10} c^{7} d^{2} g^{3} n}{{\left(d x + c\right)}^{2}} - 70 \, B a^{3} b^{9} c^{4} d^{3} g^{3} n - \frac{126 \, {\left(b x + a\right)} B a^{2} b^{9} c^{5} d^{3} g^{3} n}{d x + c} + \frac{21 \, {\left(b x + a\right)}^{2} B a b^{9} c^{6} d^{3} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{34 \, {\left(b x + a\right)}^{3} B b^{9} c^{7} d^{3} g^{3} n}{{\left(d x + c\right)}^{3}} + 70 \, B a^{4} b^{8} c^{3} d^{4} g^{3} n + \frac{210 \, {\left(b x + a\right)} B a^{3} b^{8} c^{4} d^{4} g^{3} n}{d x + c} - \frac{63 \, {\left(b x + a\right)}^{2} B a^{2} b^{8} c^{5} d^{4} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{238 \, {\left(b x + a\right)}^{3} B a b^{8} c^{6} d^{4} g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{33 \, {\left(b x + a\right)}^{4} B b^{8} c^{7} d^{4} g^{3} n}{{\left(d x + c\right)}^{4}} - 42 \, B a^{5} b^{7} c^{2} d^{5} g^{3} n - \frac{210 \, {\left(b x + a\right)} B a^{4} b^{7} c^{3} d^{5} g^{3} n}{d x + c} + \frac{105 \, {\left(b x + a\right)}^{2} B a^{3} b^{7} c^{4} d^{5} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{714 \, {\left(b x + a\right)}^{3} B a^{2} b^{7} c^{5} d^{5} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{231 \, {\left(b x + a\right)}^{4} B a b^{7} c^{6} d^{5} g^{3} n}{{\left(d x + c\right)}^{4}} + \frac{6 \, {\left(b x + a\right)}^{5} B b^{7} c^{7} d^{5} g^{3} n}{{\left(d x + c\right)}^{5}} + 14 \, B a^{6} b^{6} c d^{6} g^{3} n + \frac{126 \, {\left(b x + a\right)} B a^{5} b^{6} c^{2} d^{6} g^{3} n}{d x + c} - \frac{105 \, {\left(b x + a\right)}^{2} B a^{4} b^{6} c^{3} d^{6} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{1190 \, {\left(b x + a\right)}^{3} B a^{3} b^{6} c^{4} d^{6} g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{693 \, {\left(b x + a\right)}^{4} B a^{2} b^{6} c^{5} d^{6} g^{3} n}{{\left(d x + c\right)}^{4}} - \frac{42 \, {\left(b x + a\right)}^{5} B a b^{6} c^{6} d^{6} g^{3} n}{{\left(d x + c\right)}^{5}} - 2 \, B a^{7} b^{5} d^{7} g^{3} n - \frac{42 \, {\left(b x + a\right)} B a^{6} b^{5} c d^{7} g^{3} n}{d x + c} + \frac{63 \, {\left(b x + a\right)}^{2} B a^{5} b^{5} c^{2} d^{7} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{1190 \, {\left(b x + a\right)}^{3} B a^{4} b^{5} c^{3} d^{7} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{1155 \, {\left(b x + a\right)}^{4} B a^{3} b^{5} c^{4} d^{7} g^{3} n}{{\left(d x + c\right)}^{4}} + \frac{126 \, {\left(b x + a\right)}^{5} B a^{2} b^{5} c^{5} d^{7} g^{3} n}{{\left(d x + c\right)}^{5}} + \frac{6 \, {\left(b x + a\right)} B a^{7} b^{4} d^{8} g^{3} n}{d x + c} - \frac{21 \, {\left(b x + a\right)}^{2} B a^{6} b^{4} c d^{8} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{714 \, {\left(b x + a\right)}^{3} B a^{5} b^{4} c^{2} d^{8} g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{1155 \, {\left(b x + a\right)}^{4} B a^{4} b^{4} c^{3} d^{8} g^{3} n}{{\left(d x + c\right)}^{4}} - \frac{210 \, {\left(b x + a\right)}^{5} B a^{3} b^{4} c^{4} d^{8} g^{3} n}{{\left(d x + c\right)}^{5}} + \frac{3 \, {\left(b x + a\right)}^{2} B a^{7} b^{3} d^{9} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{238 \, {\left(b x + a\right)}^{3} B a^{6} b^{3} c d^{9} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{693 \, {\left(b x + a\right)}^{4} B a^{5} b^{3} c^{2} d^{9} g^{3} n}{{\left(d x + c\right)}^{4}} + \frac{210 \, {\left(b x + a\right)}^{5} B a^{4} b^{3} c^{3} d^{9} g^{3} n}{{\left(d x + c\right)}^{5}} - \frac{34 \, {\left(b x + a\right)}^{3} B a^{7} b^{2} d^{10} g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{231 \, {\left(b x + a\right)}^{4} B a^{6} b^{2} c d^{10} g^{3} n}{{\left(d x + c\right)}^{4}} - \frac{126 \, {\left(b x + a\right)}^{5} B a^{5} b^{2} c^{2} d^{10} g^{3} n}{{\left(d x + c\right)}^{5}} + \frac{33 \, {\left(b x + a\right)}^{4} B a^{7} b d^{11} g^{3} n}{{\left(d x + c\right)}^{4}} + \frac{42 \, {\left(b x + a\right)}^{5} B a^{6} b c d^{11} g^{3} n}{{\left(d x + c\right)}^{5}} - \frac{6 \, {\left(b x + a\right)}^{5} B a^{7} d^{12} g^{3} n}{{\left(d x + c\right)}^{5}} + 6 \, A b^{12} c^{7} g^{3} + 6 \, B b^{12} c^{7} g^{3} - 42 \, A a b^{11} c^{6} d g^{3} - 42 \, B a b^{11} c^{6} d g^{3} - \frac{36 \, {\left(b x + a\right)} A b^{11} c^{7} d g^{3}}{d x + c} - \frac{36 \, {\left(b x + a\right)} B b^{11} c^{7} d g^{3}}{d x + c} + 126 \, A a^{2} b^{10} c^{5} d^{2} g^{3} + 126 \, B a^{2} b^{10} c^{5} d^{2} g^{3} + \frac{252 \, {\left(b x + a\right)} A a b^{10} c^{6} d^{2} g^{3}}{d x + c} + \frac{252 \, {\left(b x + a\right)} B a b^{10} c^{6} d^{2} g^{3}}{d x + c} + \frac{90 \, {\left(b x + a\right)}^{2} A b^{10} c^{7} d^{2} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{90 \, {\left(b x + a\right)}^{2} B b^{10} c^{7} d^{2} g^{3}}{{\left(d x + c\right)}^{2}} - 210 \, A a^{3} b^{9} c^{4} d^{3} g^{3} - 210 \, B a^{3} b^{9} c^{4} d^{3} g^{3} - \frac{756 \, {\left(b x + a\right)} A a^{2} b^{9} c^{5} d^{3} g^{3}}{d x + c} - \frac{756 \, {\left(b x + a\right)} B a^{2} b^{9} c^{5} d^{3} g^{3}}{d x + c} - \frac{630 \, {\left(b x + a\right)}^{2} A a b^{9} c^{6} d^{3} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{630 \, {\left(b x + a\right)}^{2} B a b^{9} c^{6} d^{3} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{3} A b^{9} c^{7} d^{3} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x + a\right)}^{3} B b^{9} c^{7} d^{3} g^{3}}{{\left(d x + c\right)}^{3}} + 210 \, A a^{4} b^{8} c^{3} d^{4} g^{3} + 210 \, B a^{4} b^{8} c^{3} d^{4} g^{3} + \frac{1260 \, {\left(b x + a\right)} A a^{3} b^{8} c^{4} d^{4} g^{3}}{d x + c} + \frac{1260 \, {\left(b x + a\right)} B a^{3} b^{8} c^{4} d^{4} g^{3}}{d x + c} + \frac{1890 \, {\left(b x + a\right)}^{2} A a^{2} b^{8} c^{5} d^{4} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{1890 \, {\left(b x + a\right)}^{2} B a^{2} b^{8} c^{5} d^{4} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{840 \, {\left(b x + a\right)}^{3} A a b^{8} c^{6} d^{4} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{840 \, {\left(b x + a\right)}^{3} B a b^{8} c^{6} d^{4} g^{3}}{{\left(d x + c\right)}^{3}} - 126 \, A a^{5} b^{7} c^{2} d^{5} g^{3} - 126 \, B a^{5} b^{7} c^{2} d^{5} g^{3} - \frac{1260 \, {\left(b x + a\right)} A a^{4} b^{7} c^{3} d^{5} g^{3}}{d x + c} - \frac{1260 \, {\left(b x + a\right)} B a^{4} b^{7} c^{3} d^{5} g^{3}}{d x + c} - \frac{3150 \, {\left(b x + a\right)}^{2} A a^{3} b^{7} c^{4} d^{5} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{3150 \, {\left(b x + a\right)}^{2} B a^{3} b^{7} c^{4} d^{5} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{2520 \, {\left(b x + a\right)}^{3} A a^{2} b^{7} c^{5} d^{5} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{2520 \, {\left(b x + a\right)}^{3} B a^{2} b^{7} c^{5} d^{5} g^{3}}{{\left(d x + c\right)}^{3}} + 42 \, A a^{6} b^{6} c d^{6} g^{3} + 42 \, B a^{6} b^{6} c d^{6} g^{3} + \frac{756 \, {\left(b x + a\right)} A a^{5} b^{6} c^{2} d^{6} g^{3}}{d x + c} + \frac{756 \, {\left(b x + a\right)} B a^{5} b^{6} c^{2} d^{6} g^{3}}{d x + c} + \frac{3150 \, {\left(b x + a\right)}^{2} A a^{4} b^{6} c^{3} d^{6} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{3150 \, {\left(b x + a\right)}^{2} B a^{4} b^{6} c^{3} d^{6} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{4200 \, {\left(b x + a\right)}^{3} A a^{3} b^{6} c^{4} d^{6} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{4200 \, {\left(b x + a\right)}^{3} B a^{3} b^{6} c^{4} d^{6} g^{3}}{{\left(d x + c\right)}^{3}} - 6 \, A a^{7} b^{5} d^{7} g^{3} - 6 \, B a^{7} b^{5} d^{7} g^{3} - \frac{252 \, {\left(b x + a\right)} A a^{6} b^{5} c d^{7} g^{3}}{d x + c} - \frac{252 \, {\left(b x + a\right)} B a^{6} b^{5} c d^{7} g^{3}}{d x + c} - \frac{1890 \, {\left(b x + a\right)}^{2} A a^{5} b^{5} c^{2} d^{7} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{1890 \, {\left(b x + a\right)}^{2} B a^{5} b^{5} c^{2} d^{7} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{4200 \, {\left(b x + a\right)}^{3} A a^{4} b^{5} c^{3} d^{7} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{4200 \, {\left(b x + a\right)}^{3} B a^{4} b^{5} c^{3} d^{7} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{36 \, {\left(b x + a\right)} A a^{7} b^{4} d^{8} g^{3}}{d x + c} + \frac{36 \, {\left(b x + a\right)} B a^{7} b^{4} d^{8} g^{3}}{d x + c} + \frac{630 \, {\left(b x + a\right)}^{2} A a^{6} b^{4} c d^{8} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{630 \, {\left(b x + a\right)}^{2} B a^{6} b^{4} c d^{8} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{2520 \, {\left(b x + a\right)}^{3} A a^{5} b^{4} c^{2} d^{8} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{2520 \, {\left(b x + a\right)}^{3} B a^{5} b^{4} c^{2} d^{8} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{90 \, {\left(b x + a\right)}^{2} A a^{7} b^{3} d^{9} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{90 \, {\left(b x + a\right)}^{2} B a^{7} b^{3} d^{9} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{840 \, {\left(b x + a\right)}^{3} A a^{6} b^{3} c d^{9} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{840 \, {\left(b x + a\right)}^{3} B a^{6} b^{3} c d^{9} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x + a\right)}^{3} A a^{7} b^{2} d^{10} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x + a\right)}^{3} B a^{7} b^{2} d^{10} g^{3}}{{\left(d x + c\right)}^{3}}}{b^{8} d^{4} - \frac{6 \, {\left(b x + a\right)} b^{7} d^{5}}{d x + c} + \frac{15 \, {\left(b x + a\right)}^{2} b^{6} d^{6}}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x + a\right)}^{3} b^{5} d^{7}}{{\left(d x + c\right)}^{3}} + \frac{15 \, {\left(b x + a\right)}^{4} b^{4} d^{8}}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x + a\right)}^{5} b^{3} d^{9}}{{\left(d x + c\right)}^{5}} + \frac{{\left(b x + a\right)}^{6} b^{2} d^{10}}{{\left(d x + c\right)}^{6}}} + \frac{6 \, {\left(B b^{7} c^{7} g^{3} n - 7 \, B a b^{6} c^{6} d g^{3} n + 21 \, B a^{2} b^{5} c^{5} d^{2} g^{3} n - 35 \, B a^{3} b^{4} c^{4} d^{3} g^{3} n + 35 \, B a^{4} b^{3} c^{3} d^{4} g^{3} n - 21 \, B a^{5} b^{2} c^{2} d^{5} g^{3} n + 7 \, B a^{6} b c d^{6} g^{3} n - B a^{7} d^{7} g^{3} n\right)} \log\left(-b + \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{3} d^{4}} - \frac{6 \, {\left(B b^{7} c^{7} g^{3} n - 7 \, B a b^{6} c^{6} d g^{3} n + 21 \, B a^{2} b^{5} c^{5} d^{2} g^{3} n - 35 \, B a^{3} b^{4} c^{4} d^{3} g^{3} n + 35 \, B a^{4} b^{3} c^{3} d^{4} g^{3} n - 21 \, B a^{5} b^{2} c^{2} d^{5} g^{3} n + 7 \, B a^{6} b c d^{6} g^{3} n - B a^{7} d^{7} g^{3} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{3} d^{4}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/360*(6*(B*b^10*c^7*g^3*n - 7*B*a*b^9*c^6*d*g^3*n - 6*(b*x + a)*B*b^9*c^7*d*g^3*n/(d*x + c) + 21*B*a^2*b^8*c^5*d^2*g^3*n + 42*(b*x + a)*B*a*b^8*c^6*d^2*g^3*n/(d*x + c) + 15*(b*x + a)^2*B*b^8*c^7*d^2*g^3*n/(d*x + c)^2 - 35*B*a^3*b^7*c^4*d^3*g^3*n - 126*(b*x + a)*B*a^2*b^7*c^5*d^3*g^3*n/(d*x + c) - 105*(b*x + a)^2*B*a*b^7*c^6*d^3*g^3*n/(d*x + c)^2 - 20*(b*x + a)^3*B*b^7*c^7*d^3*g^3*n/(d*x + c)^3 + 35*B*a^4*b^6*c^3*d^4*g^3*n + 210*(b*x + a)*B*a^3*b^6*c^4*d^4*g^3*n/(d*x + c) + 315*(b*x + a)^2*B*a^2*b^6*c^5*d^4*g^3*n/(d*x + c)^2 + 140*(b*x + a)^3*B*a*b^6*c^6*d^4*g^3*n/(d*x + c)^3 - 21*B*a^5*b^5*c^2*d^5*g^3*n - 210*(b*x + a)*B*a^4*b^5*c^3*d^5*g^3*n/(d*x + c) - 525*(b*x + a)^2*B*a^3*b^5*c^4*d^5*g^3*n/(d*x + c)^2 - 420*(b*x + a)^3*B*a^2*b^5*c^5*d^5*g^3*n/(d*x + c)^3 + 7*B*a^6*b^4*c*d^6*g^3*n + 126*(b*x + a)*B*a^5*b^4*c^2*d^6*g^3*n/(d*x + c) + 525*(b*x + a)^2*B*a^4*b^4*c^3*d^6*g^3*n/(d*x + c)^2 + 700*(b*x + a)^3*B*a^3*b^4*c^4*d^6*g^3*n/(d*x + c)^3 - B*a^7*b^3*d^7*g^3*n - 42*(b*x + a)*B*a^6*b^3*c*d^7*g^3*n/(d*x + c) - 315*(b*x + a)^2*B*a^5*b^3*c^2*d^7*g^3*n/(d*x + c)^2 - 700*(b*x + a)^3*B*a^4*b^3*c^3*d^7*g^3*n/(d*x + c)^3 + 6*(b*x + a)*B*a^7*b^2*d^8*g^3*n/(d*x + c) + 105*(b*x + a)^2*B*a^6*b^2*c*d^8*g^3*n/(d*x + c)^2 + 420*(b*x + a)^3*B*a^5*b^2*c^2*d^8*g^3*n/(d*x + c)^3 - 15*(b*x + a)^2*B*a^7*b*d^9*g^3*n/(d*x + c)^2 - 140*(b*x + a)^3*B*a^6*b*c*d^9*g^3*n/(d*x + c)^3 + 20*(b*x + a)^3*B*a^7*d^10*g^3*n/(d*x + c)^3)*log((b*x + a)/(d*x + c))/(b^6*d^4 - 6*(b*x + a)*b^5*d^5/(d*x + c) + 15*(b*x + a)^2*b^4*d^6/(d*x + c)^2 - 20*(b*x + a)^3*b^3*d^7/(d*x + c)^3 + 15*(b*x + a)^4*b^2*d^8/(d*x + c)^4 - 6*(b*x + a)^5*b*d^9/(d*x + c)^5 + (b*x + a)^6*d^10/(d*x + c)^6) + (2*B*b^12*c^7*g^3*n - 14*B*a*b^11*c^6*d*g^3*n - 6*(b*x + a)*B*b^11*c^7*d*g^3*n/(d*x + c) + 42*B*a^2*b^10*c^5*d^2*g^3*n + 42*(b*x + a)*B*a*b^10*c^6*d^2*g^3*n/(d*x + c) - 3*(b*x + a)^2*B*b^10*c^7*d^2*g^3*n/(d*x + c)^2 - 70*B*a^3*b^9*c^4*d^3*g^3*n - 126*(b*x + a)*B*a^2*b^9*c^5*d^3*g^3*n/(d*x + c) + 21*(b*x + a)^2*B*a*b^9*c^6*d^3*g^3*n/(d*x + c)^2 + 34*(b*x + a)^3*B*b^9*c^7*d^3*g^3*n/(d*x + c)^3 + 70*B*a^4*b^8*c^3*d^4*g^3*n + 210*(b*x + a)*B*a^3*b^8*c^4*d^4*g^3*n/(d*x + c) - 63*(b*x + a)^2*B*a^2*b^8*c^5*d^4*g^3*n/(d*x + c)^2 - 238*(b*x + a)^3*B*a*b^8*c^6*d^4*g^3*n/(d*x + c)^3 - 33*(b*x + a)^4*B*b^8*c^7*d^4*g^3*n/(d*x + c)^4 - 42*B*a^5*b^7*c^2*d^5*g^3*n - 210*(b*x + a)*B*a^4*b^7*c^3*d^5*g^3*n/(d*x + c) + 105*(b*x + a)^2*B*a^3*b^7*c^4*d^5*g^3*n/(d*x + c)^2 + 714*(b*x + a)^3*B*a^2*b^7*c^5*d^5*g^3*n/(d*x + c)^3 + 231*(b*x + a)^4*B*a*b^7*c^6*d^5*g^3*n/(d*x + c)^4 + 6*(b*x + a)^5*B*b^7*c^7*d^5*g^3*n/(d*x + c)^5 + 14*B*a^6*b^6*c*d^6*g^3*n + 126*(b*x + a)*B*a^5*b^6*c^2*d^6*g^3*n/(d*x + c) - 105*(b*x + a)^2*B*a^4*b^6*c^3*d^6*g^3*n/(d*x + c)^2 - 1190*(b*x + a)^3*B*a^3*b^6*c^4*d^6*g^3*n/(d*x + c)^3 - 693*(b*x + a)^4*B*a^2*b^6*c^5*d^6*g^3*n/(d*x + c)^4 - 42*(b*x + a)^5*B*a*b^6*c^6*d^6*g^3*n/(d*x + c)^5 - 2*B*a^7*b^5*d^7*g^3*n - 42*(b*x + a)*B*a^6*b^5*c*d^7*g^3*n/(d*x + c) + 63*(b*x + a)^2*B*a^5*b^5*c^2*d^7*g^3*n/(d*x + c)^2 + 1190*(b*x + a)^3*B*a^4*b^5*c^3*d^7*g^3*n/(d*x + c)^3 + 1155*(b*x + a)^4*B*a^3*b^5*c^4*d^7*g^3*n/(d*x + c)^4 + 126*(b*x + a)^5*B*a^2*b^5*c^5*d^7*g^3*n/(d*x + c)^5 + 6*(b*x + a)*B*a^7*b^4*d^8*g^3*n/(d*x + c) - 21*(b*x + a)^2*B*a^6*b^4*c*d^8*g^3*n/(d*x + c)^2 - 714*(b*x + a)^3*B*a^5*b^4*c^2*d^8*g^3*n/(d*x + c)^3 - 1155*(b*x + a)^4*B*a^4*b^4*c^3*d^8*g^3*n/(d*x + c)^4 - 210*(b*x + a)^5*B*a^3*b^4*c^4*d^8*g^3*n/(d*x + c)^5 + 3*(b*x + a)^2*B*a^7*b^3*d^9*g^3*n/(d*x + c)^2 + 238*(b*x + a)^3*B*a^6*b^3*c*d^9*g^3*n/(d*x + c)^3 + 693*(b*x + a)^4*B*a^5*b^3*c^2*d^9*g^3*n/(d*x + c)^4 + 210*(b*x + a)^5*B*a^4*b^3*c^3*d^9*g^3*n/(d*x + c)^5 - 34*(b*x + a)^3*B*a^7*b^2*d^10*g^3*n/(d*x + c)^3 - 231*(b*x + a)^4*B*a^6*b^2*c*d^10*g^3*n/(d*x + c)^4 - 126*(b*x + a)^5*B*a^5*b^2*c^2*d^10*g^3*n/(d*x + c)^5 + 33*(b*x + a)^4*B*a^7*b*d^11*g^3*n/(d*x + c)^4 + 42*(b*x + a)^5*B*a^6*b*c*d^11*g^3*n/(d*x + c)^5 - 6*(b*x + a)^5*B*a^7*d^12*g^3*n/(d*x + c)^5 + 6*A*b^12*c^7*g^3 + 6*B*b^12*c^7*g^3 - 42*A*a*b^11*c^6*d*g^3 - 42*B*a*b^11*c^6*d*g^3 - 36*(b*x + a)*A*b^11*c^7*d*g^3/(d*x + c) - 36*(b*x + a)*B*b^11*c^7*d*g^3/(d*x + c) + 126*A*a^2*b^10*c^5*d^2*g^3 + 126*B*a^2*b^10*c^5*d^2*g^3 + 252*(b*x + a)*A*a*b^10*c^6*d^2*g^3/(d*x + c) + 252*(b*x + a)*B*a*b^10*c^6*d^2*g^3/(d*x + c) + 90*(b*x + a)^2*A*b^10*c^7*d^2*g^3/(d*x + c)^2 + 90*(b*x + a)^2*B*b^10*c^7*d^2*g^3/(d*x + c)^2 - 210*A*a^3*b^9*c^4*d^3*g^3 - 210*B*a^3*b^9*c^4*d^3*g^3 - 756*(b*x + a)*A*a^2*b^9*c^5*d^3*g^3/(d*x + c) - 756*(b*x + a)*B*a^2*b^9*c^5*d^3*g^3/(d*x + c) - 630*(b*x + a)^2*A*a*b^9*c^6*d^3*g^3/(d*x + c)^2 - 630*(b*x + a)^2*B*a*b^9*c^6*d^3*g^3/(d*x + c)^2 - 120*(b*x + a)^3*A*b^9*c^7*d^3*g^3/(d*x + c)^3 - 120*(b*x + a)^3*B*b^9*c^7*d^3*g^3/(d*x + c)^3 + 210*A*a^4*b^8*c^3*d^4*g^3 + 210*B*a^4*b^8*c^3*d^4*g^3 + 1260*(b*x + a)*A*a^3*b^8*c^4*d^4*g^3/(d*x + c) + 1260*(b*x + a)*B*a^3*b^8*c^4*d^4*g^3/(d*x + c) + 1890*(b*x + a)^2*A*a^2*b^8*c^5*d^4*g^3/(d*x + c)^2 + 1890*(b*x + a)^2*B*a^2*b^8*c^5*d^4*g^3/(d*x + c)^2 + 840*(b*x + a)^3*A*a*b^8*c^6*d^4*g^3/(d*x + c)^3 + 840*(b*x + a)^3*B*a*b^8*c^6*d^4*g^3/(d*x + c)^3 - 126*A*a^5*b^7*c^2*d^5*g^3 - 126*B*a^5*b^7*c^2*d^5*g^3 - 1260*(b*x + a)*A*a^4*b^7*c^3*d^5*g^3/(d*x + c) - 1260*(b*x + a)*B*a^4*b^7*c^3*d^5*g^3/(d*x + c) - 3150*(b*x + a)^2*A*a^3*b^7*c^4*d^5*g^3/(d*x + c)^2 - 3150*(b*x + a)^2*B*a^3*b^7*c^4*d^5*g^3/(d*x + c)^2 - 2520*(b*x + a)^3*A*a^2*b^7*c^5*d^5*g^3/(d*x + c)^3 - 2520*(b*x + a)^3*B*a^2*b^7*c^5*d^5*g^3/(d*x + c)^3 + 42*A*a^6*b^6*c*d^6*g^3 + 42*B*a^6*b^6*c*d^6*g^3 + 756*(b*x + a)*A*a^5*b^6*c^2*d^6*g^3/(d*x + c) + 756*(b*x + a)*B*a^5*b^6*c^2*d^6*g^3/(d*x + c) + 3150*(b*x + a)^2*A*a^4*b^6*c^3*d^6*g^3/(d*x + c)^2 + 3150*(b*x + a)^2*B*a^4*b^6*c^3*d^6*g^3/(d*x + c)^2 + 4200*(b*x + a)^3*A*a^3*b^6*c^4*d^6*g^3/(d*x + c)^3 + 4200*(b*x + a)^3*B*a^3*b^6*c^4*d^6*g^3/(d*x + c)^3 - 6*A*a^7*b^5*d^7*g^3 - 6*B*a^7*b^5*d^7*g^3 - 252*(b*x + a)*A*a^6*b^5*c*d^7*g^3/(d*x + c) - 252*(b*x + a)*B*a^6*b^5*c*d^7*g^3/(d*x + c) - 1890*(b*x + a)^2*A*a^5*b^5*c^2*d^7*g^3/(d*x + c)^2 - 1890*(b*x + a)^2*B*a^5*b^5*c^2*d^7*g^3/(d*x + c)^2 - 4200*(b*x + a)^3*A*a^4*b^5*c^3*d^7*g^3/(d*x + c)^3 - 4200*(b*x + a)^3*B*a^4*b^5*c^3*d^7*g^3/(d*x + c)^3 + 36*(b*x + a)*A*a^7*b^4*d^8*g^3/(d*x + c) + 36*(b*x + a)*B*a^7*b^4*d^8*g^3/(d*x + c) + 630*(b*x + a)^2*A*a^6*b^4*c*d^8*g^3/(d*x + c)^2 + 630*(b*x + a)^2*B*a^6*b^4*c*d^8*g^3/(d*x + c)^2 + 2520*(b*x + a)^3*A*a^5*b^4*c^2*d^8*g^3/(d*x + c)^3 + 2520*(b*x + a)^3*B*a^5*b^4*c^2*d^8*g^3/(d*x + c)^3 - 90*(b*x + a)^2*A*a^7*b^3*d^9*g^3/(d*x + c)^2 - 90*(b*x + a)^2*B*a^7*b^3*d^9*g^3/(d*x + c)^2 - 840*(b*x + a)^3*A*a^6*b^3*c*d^9*g^3/(d*x + c)^3 - 840*(b*x + a)^3*B*a^6*b^3*c*d^9*g^3/(d*x + c)^3 + 120*(b*x + a)^3*A*a^7*b^2*d^10*g^3/(d*x + c)^3 + 120*(b*x + a)^3*B*a^7*b^2*d^10*g^3/(d*x + c)^3)/(b^8*d^4 - 6*(b*x + a)*b^7*d^5/(d*x + c) + 15*(b*x + a)^2*b^6*d^6/(d*x + c)^2 - 20*(b*x + a)^3*b^5*d^7/(d*x + c)^3 + 15*(b*x + a)^4*b^4*d^8/(d*x + c)^4 - 6*(b*x + a)^5*b^3*d^9/(d*x + c)^5 + (b*x + a)^6*b^2*d^10/(d*x + c)^6) + 6*(B*b^7*c^7*g^3*n - 7*B*a*b^6*c^6*d*g^3*n + 21*B*a^2*b^5*c^5*d^2*g^3*n - 35*B*a^3*b^4*c^4*d^3*g^3*n + 35*B*a^4*b^3*c^3*d^4*g^3*n - 21*B*a^5*b^2*c^2*d^5*g^3*n + 7*B*a^6*b*c*d^6*g^3*n - B*a^7*d^7*g^3*n)*log(-b + (b*x + a)*d/(d*x + c))/(b^3*d^4) - 6*(B*b^7*c^7*g^3*n - 7*B*a*b^6*c^6*d*g^3*n + 21*B*a^2*b^5*c^5*d^2*g^3*n - 35*B*a^3*b^4*c^4*d^3*g^3*n + 35*B*a^4*b^3*c^3*d^4*g^3*n - 21*B*a^5*b^2*c^2*d^5*g^3*n + 7*B*a^6*b*c*d^6*g^3*n - B*a^7*d^7*g^3*n)*log((b*x + a)/(d*x + c))/(b^3*d^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
118,1,2995,0,7.342660," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","-\frac{1}{60} \, {\left(\frac{2 \, {\left(B b^{8} c^{6} g^{2} n - 6 \, B a b^{7} c^{5} d g^{2} n - \frac{5 \, {\left(b x + a\right)} B b^{7} c^{6} d g^{2} n}{d x + c} + 15 \, B a^{2} b^{6} c^{4} d^{2} g^{2} n + \frac{30 \, {\left(b x + a\right)} B a b^{6} c^{5} d^{2} g^{2} n}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} B b^{6} c^{6} d^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - 20 \, B a^{3} b^{5} c^{3} d^{3} g^{2} n - \frac{75 \, {\left(b x + a\right)} B a^{2} b^{5} c^{4} d^{3} g^{2} n}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} B a b^{5} c^{5} d^{3} g^{2} n}{{\left(d x + c\right)}^{2}} + 15 \, B a^{4} b^{4} c^{2} d^{4} g^{2} n + \frac{100 \, {\left(b x + a\right)} B a^{3} b^{4} c^{3} d^{4} g^{2} n}{d x + c} + \frac{150 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{4} d^{4} g^{2} n}{{\left(d x + c\right)}^{2}} - 6 \, B a^{5} b^{3} c d^{5} g^{2} n - \frac{75 \, {\left(b x + a\right)} B a^{4} b^{3} c^{2} d^{5} g^{2} n}{d x + c} - \frac{200 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{3} d^{5} g^{2} n}{{\left(d x + c\right)}^{2}} + B a^{6} b^{2} d^{6} g^{2} n + \frac{30 \, {\left(b x + a\right)} B a^{5} b^{2} c d^{6} g^{2} n}{d x + c} + \frac{150 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} c^{2} d^{6} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{5 \, {\left(b x + a\right)} B a^{6} b d^{7} g^{2} n}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} B a^{5} b c d^{7} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{10 \, {\left(b x + a\right)}^{2} B a^{6} d^{8} g^{2} n}{{\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{5} d^{3} - \frac{5 \, {\left(b x + a\right)} b^{4} d^{4}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{3} d^{5}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{2} d^{6}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b d^{7}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} d^{8}}{{\left(d x + c\right)}^{5}}} + \frac{\frac{2 \, {\left(b x + a\right)} B b^{9} c^{6} d g^{2} n}{d x + c} - \frac{12 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g^{2} n}{d x + c} - \frac{9 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{30 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g^{2} n}{d x + c} + \frac{54 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{9 \, {\left(b x + a\right)}^{3} B b^{7} c^{6} d^{3} g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{40 \, {\left(b x + a\right)} B a^{3} b^{6} c^{3} d^{4} g^{2} n}{d x + c} - \frac{135 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{4} d^{4} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{54 \, {\left(b x + a\right)}^{3} B a b^{6} c^{5} d^{4} g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x + a\right)}^{4} B b^{6} c^{6} d^{4} g^{2} n}{{\left(d x + c\right)}^{4}} + \frac{30 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g^{2} n}{d x + c} + \frac{180 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{135 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{4} d^{5} g^{2} n}{{\left(d x + c\right)}^{3}} + \frac{12 \, {\left(b x + a\right)}^{4} B a b^{5} c^{5} d^{5} g^{2} n}{{\left(d x + c\right)}^{4}} - \frac{12 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g^{2} n}{d x + c} - \frac{135 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{180 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{3} d^{6} g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{30 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{4} d^{6} g^{2} n}{{\left(d x + c\right)}^{4}} + \frac{2 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g^{2} n}{d x + c} + \frac{54 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c d^{7} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{135 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} c^{2} d^{7} g^{2} n}{{\left(d x + c\right)}^{3}} + \frac{40 \, {\left(b x + a\right)}^{4} B a^{3} b^{3} c^{3} d^{7} g^{2} n}{{\left(d x + c\right)}^{4}} - \frac{9 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} d^{8} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{54 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} c d^{8} g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{30 \, {\left(b x + a\right)}^{4} B a^{4} b^{2} c^{2} d^{8} g^{2} n}{{\left(d x + c\right)}^{4}} + \frac{9 \, {\left(b x + a\right)}^{3} B a^{6} b d^{9} g^{2} n}{{\left(d x + c\right)}^{3}} + \frac{12 \, {\left(b x + a\right)}^{4} B a^{5} b c d^{9} g^{2} n}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x + a\right)}^{4} B a^{6} d^{10} g^{2} n}{{\left(d x + c\right)}^{4}} + 2 \, A b^{10} c^{6} g^{2} + 2 \, B b^{10} c^{6} g^{2} - 12 \, A a b^{9} c^{5} d g^{2} - 12 \, B a b^{9} c^{5} d g^{2} - \frac{10 \, {\left(b x + a\right)} A b^{9} c^{6} d g^{2}}{d x + c} - \frac{10 \, {\left(b x + a\right)} B b^{9} c^{6} d g^{2}}{d x + c} + 30 \, A a^{2} b^{8} c^{4} d^{2} g^{2} + 30 \, B a^{2} b^{8} c^{4} d^{2} g^{2} + \frac{60 \, {\left(b x + a\right)} A a b^{8} c^{5} d^{2} g^{2}}{d x + c} + \frac{60 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g^{2}}{d x + c} + \frac{20 \, {\left(b x + a\right)}^{2} A b^{8} c^{6} d^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g^{2}}{{\left(d x + c\right)}^{2}} - 40 \, A a^{3} b^{7} c^{3} d^{3} g^{2} - 40 \, B a^{3} b^{7} c^{3} d^{3} g^{2} - \frac{150 \, {\left(b x + a\right)} A a^{2} b^{7} c^{4} d^{3} g^{2}}{d x + c} - \frac{150 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g^{2}}{d x + c} - \frac{120 \, {\left(b x + a\right)}^{2} A a b^{7} c^{5} d^{3} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g^{2}}{{\left(d x + c\right)}^{2}} + 30 \, A a^{4} b^{6} c^{2} d^{4} g^{2} + 30 \, B a^{4} b^{6} c^{2} d^{4} g^{2} + \frac{200 \, {\left(b x + a\right)} A a^{3} b^{6} c^{3} d^{4} g^{2}}{d x + c} + \frac{200 \, {\left(b x + a\right)} B a^{3} b^{6} c^{3} d^{4} g^{2}}{d x + c} + \frac{300 \, {\left(b x + a\right)}^{2} A a^{2} b^{6} c^{4} d^{4} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{300 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{4} d^{4} g^{2}}{{\left(d x + c\right)}^{2}} - 12 \, A a^{5} b^{5} c d^{5} g^{2} - 12 \, B a^{5} b^{5} c d^{5} g^{2} - \frac{150 \, {\left(b x + a\right)} A a^{4} b^{5} c^{2} d^{5} g^{2}}{d x + c} - \frac{150 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g^{2}}{d x + c} - \frac{400 \, {\left(b x + a\right)}^{2} A a^{3} b^{5} c^{3} d^{5} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{400 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g^{2}}{{\left(d x + c\right)}^{2}} + 2 \, A a^{6} b^{4} d^{6} g^{2} + 2 \, B a^{6} b^{4} d^{6} g^{2} + \frac{60 \, {\left(b x + a\right)} A a^{5} b^{4} c d^{6} g^{2}}{d x + c} + \frac{60 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g^{2}}{d x + c} + \frac{300 \, {\left(b x + a\right)}^{2} A a^{4} b^{4} c^{2} d^{6} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{300 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)} A a^{6} b^{3} d^{7} g^{2}}{d x + c} - \frac{10 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g^{2}}{d x + c} - \frac{120 \, {\left(b x + a\right)}^{2} A a^{5} b^{3} c d^{7} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c d^{7} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x + a\right)}^{2} A a^{6} b^{2} d^{8} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} d^{8} g^{2}}{{\left(d x + c\right)}^{2}}}{b^{7} d^{3} - \frac{5 \, {\left(b x + a\right)} b^{6} d^{4}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{5} d^{5}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{4} d^{6}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b^{3} d^{7}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} b^{2} d^{8}}{{\left(d x + c\right)}^{5}}} + \frac{2 \, {\left(B b^{6} c^{6} g^{2} n - 6 \, B a b^{5} c^{5} d g^{2} n + 15 \, B a^{2} b^{4} c^{4} d^{2} g^{2} n - 20 \, B a^{3} b^{3} c^{3} d^{3} g^{2} n + 15 \, B a^{4} b^{2} c^{2} d^{4} g^{2} n - 6 \, B a^{5} b c d^{5} g^{2} n + B a^{6} d^{6} g^{2} n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{3} d^{3}} - \frac{2 \, {\left(B b^{6} c^{6} g^{2} n - 6 \, B a b^{5} c^{5} d g^{2} n + 15 \, B a^{2} b^{4} c^{4} d^{2} g^{2} n - 20 \, B a^{3} b^{3} c^{3} d^{3} g^{2} n + 15 \, B a^{4} b^{2} c^{2} d^{4} g^{2} n - 6 \, B a^{5} b c d^{5} g^{2} n + B a^{6} d^{6} g^{2} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{3} d^{3}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/60*(2*(B*b^8*c^6*g^2*n - 6*B*a*b^7*c^5*d*g^2*n - 5*(b*x + a)*B*b^7*c^6*d*g^2*n/(d*x + c) + 15*B*a^2*b^6*c^4*d^2*g^2*n + 30*(b*x + a)*B*a*b^6*c^5*d^2*g^2*n/(d*x + c) + 10*(b*x + a)^2*B*b^6*c^6*d^2*g^2*n/(d*x + c)^2 - 20*B*a^3*b^5*c^3*d^3*g^2*n - 75*(b*x + a)*B*a^2*b^5*c^4*d^3*g^2*n/(d*x + c) - 60*(b*x + a)^2*B*a*b^5*c^5*d^3*g^2*n/(d*x + c)^2 + 15*B*a^4*b^4*c^2*d^4*g^2*n + 100*(b*x + a)*B*a^3*b^4*c^3*d^4*g^2*n/(d*x + c) + 150*(b*x + a)^2*B*a^2*b^4*c^4*d^4*g^2*n/(d*x + c)^2 - 6*B*a^5*b^3*c*d^5*g^2*n - 75*(b*x + a)*B*a^4*b^3*c^2*d^5*g^2*n/(d*x + c) - 200*(b*x + a)^2*B*a^3*b^3*c^3*d^5*g^2*n/(d*x + c)^2 + B*a^6*b^2*d^6*g^2*n + 30*(b*x + a)*B*a^5*b^2*c*d^6*g^2*n/(d*x + c) + 150*(b*x + a)^2*B*a^4*b^2*c^2*d^6*g^2*n/(d*x + c)^2 - 5*(b*x + a)*B*a^6*b*d^7*g^2*n/(d*x + c) - 60*(b*x + a)^2*B*a^5*b*c*d^7*g^2*n/(d*x + c)^2 + 10*(b*x + a)^2*B*a^6*d^8*g^2*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/(b^5*d^3 - 5*(b*x + a)*b^4*d^4/(d*x + c) + 10*(b*x + a)^2*b^3*d^5/(d*x + c)^2 - 10*(b*x + a)^3*b^2*d^6/(d*x + c)^3 + 5*(b*x + a)^4*b*d^7/(d*x + c)^4 - (b*x + a)^5*d^8/(d*x + c)^5) + (2*(b*x + a)*B*b^9*c^6*d*g^2*n/(d*x + c) - 12*(b*x + a)*B*a*b^8*c^5*d^2*g^2*n/(d*x + c) - 9*(b*x + a)^2*B*b^8*c^6*d^2*g^2*n/(d*x + c)^2 + 30*(b*x + a)*B*a^2*b^7*c^4*d^3*g^2*n/(d*x + c) + 54*(b*x + a)^2*B*a*b^7*c^5*d^3*g^2*n/(d*x + c)^2 + 9*(b*x + a)^3*B*b^7*c^6*d^3*g^2*n/(d*x + c)^3 - 40*(b*x + a)*B*a^3*b^6*c^3*d^4*g^2*n/(d*x + c) - 135*(b*x + a)^2*B*a^2*b^6*c^4*d^4*g^2*n/(d*x + c)^2 - 54*(b*x + a)^3*B*a*b^6*c^5*d^4*g^2*n/(d*x + c)^3 - 2*(b*x + a)^4*B*b^6*c^6*d^4*g^2*n/(d*x + c)^4 + 30*(b*x + a)*B*a^4*b^5*c^2*d^5*g^2*n/(d*x + c) + 180*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g^2*n/(d*x + c)^2 + 135*(b*x + a)^3*B*a^2*b^5*c^4*d^5*g^2*n/(d*x + c)^3 + 12*(b*x + a)^4*B*a*b^5*c^5*d^5*g^2*n/(d*x + c)^4 - 12*(b*x + a)*B*a^5*b^4*c*d^6*g^2*n/(d*x + c) - 135*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g^2*n/(d*x + c)^2 - 180*(b*x + a)^3*B*a^3*b^4*c^3*d^6*g^2*n/(d*x + c)^3 - 30*(b*x + a)^4*B*a^2*b^4*c^4*d^6*g^2*n/(d*x + c)^4 + 2*(b*x + a)*B*a^6*b^3*d^7*g^2*n/(d*x + c) + 54*(b*x + a)^2*B*a^5*b^3*c*d^7*g^2*n/(d*x + c)^2 + 135*(b*x + a)^3*B*a^4*b^3*c^2*d^7*g^2*n/(d*x + c)^3 + 40*(b*x + a)^4*B*a^3*b^3*c^3*d^7*g^2*n/(d*x + c)^4 - 9*(b*x + a)^2*B*a^6*b^2*d^8*g^2*n/(d*x + c)^2 - 54*(b*x + a)^3*B*a^5*b^2*c*d^8*g^2*n/(d*x + c)^3 - 30*(b*x + a)^4*B*a^4*b^2*c^2*d^8*g^2*n/(d*x + c)^4 + 9*(b*x + a)^3*B*a^6*b*d^9*g^2*n/(d*x + c)^3 + 12*(b*x + a)^4*B*a^5*b*c*d^9*g^2*n/(d*x + c)^4 - 2*(b*x + a)^4*B*a^6*d^10*g^2*n/(d*x + c)^4 + 2*A*b^10*c^6*g^2 + 2*B*b^10*c^6*g^2 - 12*A*a*b^9*c^5*d*g^2 - 12*B*a*b^9*c^5*d*g^2 - 10*(b*x + a)*A*b^9*c^6*d*g^2/(d*x + c) - 10*(b*x + a)*B*b^9*c^6*d*g^2/(d*x + c) + 30*A*a^2*b^8*c^4*d^2*g^2 + 30*B*a^2*b^8*c^4*d^2*g^2 + 60*(b*x + a)*A*a*b^8*c^5*d^2*g^2/(d*x + c) + 60*(b*x + a)*B*a*b^8*c^5*d^2*g^2/(d*x + c) + 20*(b*x + a)^2*A*b^8*c^6*d^2*g^2/(d*x + c)^2 + 20*(b*x + a)^2*B*b^8*c^6*d^2*g^2/(d*x + c)^2 - 40*A*a^3*b^7*c^3*d^3*g^2 - 40*B*a^3*b^7*c^3*d^3*g^2 - 150*(b*x + a)*A*a^2*b^7*c^4*d^3*g^2/(d*x + c) - 150*(b*x + a)*B*a^2*b^7*c^4*d^3*g^2/(d*x + c) - 120*(b*x + a)^2*A*a*b^7*c^5*d^3*g^2/(d*x + c)^2 - 120*(b*x + a)^2*B*a*b^7*c^5*d^3*g^2/(d*x + c)^2 + 30*A*a^4*b^6*c^2*d^4*g^2 + 30*B*a^4*b^6*c^2*d^4*g^2 + 200*(b*x + a)*A*a^3*b^6*c^3*d^4*g^2/(d*x + c) + 200*(b*x + a)*B*a^3*b^6*c^3*d^4*g^2/(d*x + c) + 300*(b*x + a)^2*A*a^2*b^6*c^4*d^4*g^2/(d*x + c)^2 + 300*(b*x + a)^2*B*a^2*b^6*c^4*d^4*g^2/(d*x + c)^2 - 12*A*a^5*b^5*c*d^5*g^2 - 12*B*a^5*b^5*c*d^5*g^2 - 150*(b*x + a)*A*a^4*b^5*c^2*d^5*g^2/(d*x + c) - 150*(b*x + a)*B*a^4*b^5*c^2*d^5*g^2/(d*x + c) - 400*(b*x + a)^2*A*a^3*b^5*c^3*d^5*g^2/(d*x + c)^2 - 400*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g^2/(d*x + c)^2 + 2*A*a^6*b^4*d^6*g^2 + 2*B*a^6*b^4*d^6*g^2 + 60*(b*x + a)*A*a^5*b^4*c*d^6*g^2/(d*x + c) + 60*(b*x + a)*B*a^5*b^4*c*d^6*g^2/(d*x + c) + 300*(b*x + a)^2*A*a^4*b^4*c^2*d^6*g^2/(d*x + c)^2 + 300*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g^2/(d*x + c)^2 - 10*(b*x + a)*A*a^6*b^3*d^7*g^2/(d*x + c) - 10*(b*x + a)*B*a^6*b^3*d^7*g^2/(d*x + c) - 120*(b*x + a)^2*A*a^5*b^3*c*d^7*g^2/(d*x + c)^2 - 120*(b*x + a)^2*B*a^5*b^3*c*d^7*g^2/(d*x + c)^2 + 20*(b*x + a)^2*A*a^6*b^2*d^8*g^2/(d*x + c)^2 + 20*(b*x + a)^2*B*a^6*b^2*d^8*g^2/(d*x + c)^2)/(b^7*d^3 - 5*(b*x + a)*b^6*d^4/(d*x + c) + 10*(b*x + a)^2*b^5*d^5/(d*x + c)^2 - 10*(b*x + a)^3*b^4*d^6/(d*x + c)^3 + 5*(b*x + a)^4*b^3*d^7/(d*x + c)^4 - (b*x + a)^5*b^2*d^8/(d*x + c)^5) + 2*(B*b^6*c^6*g^2*n - 6*B*a*b^5*c^5*d*g^2*n + 15*B*a^2*b^4*c^4*d^2*g^2*n - 20*B*a^3*b^3*c^3*d^3*g^2*n + 15*B*a^4*b^2*c^2*d^4*g^2*n - 6*B*a^5*b*c*d^5*g^2*n + B*a^6*d^6*g^2*n)*log(b - (b*x + a)*d/(d*x + c))/(b^3*d^3) - 2*(B*b^6*c^6*g^2*n - 6*B*a*b^5*c^5*d*g^2*n + 15*B*a^2*b^4*c^4*d^2*g^2*n - 20*B*a^3*b^3*c^3*d^3*g^2*n + 15*B*a^4*b^2*c^2*d^4*g^2*n - 6*B*a^5*b*c*d^5*g^2*n + B*a^6*d^6*g^2*n)*log((b*x + a)/(d*x + c))/(b^3*d^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
119,1,1757,0,3.884854," ","integrate((b*g*x+a*g)*(d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{24} \, {\left(\frac{2 \, {\left(B b^{6} c^{5} g n - 5 \, B a b^{5} c^{4} d g n - \frac{4 \, {\left(b x + a\right)} B b^{5} c^{5} d g n}{d x + c} + 10 \, B a^{2} b^{4} c^{3} d^{2} g n + \frac{20 \, {\left(b x + a\right)} B a b^{4} c^{4} d^{2} g n}{d x + c} - 10 \, B a^{3} b^{3} c^{2} d^{3} g n - \frac{40 \, {\left(b x + a\right)} B a^{2} b^{3} c^{3} d^{3} g n}{d x + c} + 5 \, B a^{4} b^{2} c d^{4} g n + \frac{40 \, {\left(b x + a\right)} B a^{3} b^{2} c^{2} d^{4} g n}{d x + c} - B a^{5} b d^{5} g n - \frac{20 \, {\left(b x + a\right)} B a^{4} b c d^{5} g n}{d x + c} + \frac{4 \, {\left(b x + a\right)} B a^{5} d^{6} g n}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{4} d^{2} - \frac{4 \, {\left(b x + a\right)} b^{3} d^{3}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b^{2} d^{4}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b d^{5}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{4} d^{6}}{{\left(d x + c\right)}^{4}}} - \frac{B b^{8} c^{5} g n - 5 \, B a b^{7} c^{4} d g n - \frac{6 \, {\left(b x + a\right)} B b^{7} c^{5} d g n}{d x + c} + 10 \, B a^{2} b^{6} c^{3} d^{2} g n + \frac{30 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} g n}{d x + c} + \frac{7 \, {\left(b x + a\right)}^{2} B b^{6} c^{5} d^{2} g n}{{\left(d x + c\right)}^{2}} - 10 \, B a^{3} b^{5} c^{2} d^{3} g n - \frac{60 \, {\left(b x + a\right)} B a^{2} b^{5} c^{3} d^{3} g n}{d x + c} - \frac{35 \, {\left(b x + a\right)}^{2} B a b^{5} c^{4} d^{3} g n}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x + a\right)}^{3} B b^{5} c^{5} d^{3} g n}{{\left(d x + c\right)}^{3}} + 5 \, B a^{4} b^{4} c d^{4} g n + \frac{60 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} g n}{d x + c} + \frac{70 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{3} d^{4} g n}{{\left(d x + c\right)}^{2}} + \frac{10 \, {\left(b x + a\right)}^{3} B a b^{4} c^{4} d^{4} g n}{{\left(d x + c\right)}^{3}} - B a^{5} b^{3} d^{5} g n - \frac{30 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} g n}{d x + c} - \frac{70 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{2} d^{5} g n}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{3} d^{5} g n}{{\left(d x + c\right)}^{3}} + \frac{6 \, {\left(b x + a\right)} B a^{5} b^{2} d^{6} g n}{d x + c} + \frac{35 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} c d^{6} g n}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x + a\right)}^{3} B a^{3} b^{2} c^{2} d^{6} g n}{{\left(d x + c\right)}^{3}} - \frac{7 \, {\left(b x + a\right)}^{2} B a^{5} b d^{7} g n}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} B a^{4} b c d^{7} g n}{{\left(d x + c\right)}^{3}} + \frac{2 \, {\left(b x + a\right)}^{3} B a^{5} d^{8} g n}{{\left(d x + c\right)}^{3}} - 2 \, A b^{8} c^{5} g - 2 \, B b^{8} c^{5} g + 10 \, A a b^{7} c^{4} d g + 10 \, B a b^{7} c^{4} d g + \frac{8 \, {\left(b x + a\right)} A b^{7} c^{5} d g}{d x + c} + \frac{8 \, {\left(b x + a\right)} B b^{7} c^{5} d g}{d x + c} - 20 \, A a^{2} b^{6} c^{3} d^{2} g - 20 \, B a^{2} b^{6} c^{3} d^{2} g - \frac{40 \, {\left(b x + a\right)} A a b^{6} c^{4} d^{2} g}{d x + c} - \frac{40 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} g}{d x + c} + 20 \, A a^{3} b^{5} c^{2} d^{3} g + 20 \, B a^{3} b^{5} c^{2} d^{3} g + \frac{80 \, {\left(b x + a\right)} A a^{2} b^{5} c^{3} d^{3} g}{d x + c} + \frac{80 \, {\left(b x + a\right)} B a^{2} b^{5} c^{3} d^{3} g}{d x + c} - 10 \, A a^{4} b^{4} c d^{4} g - 10 \, B a^{4} b^{4} c d^{4} g - \frac{80 \, {\left(b x + a\right)} A a^{3} b^{4} c^{2} d^{4} g}{d x + c} - \frac{80 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} g}{d x + c} + 2 \, A a^{5} b^{3} d^{5} g + 2 \, B a^{5} b^{3} d^{5} g + \frac{40 \, {\left(b x + a\right)} A a^{4} b^{3} c d^{5} g}{d x + c} + \frac{40 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} g}{d x + c} - \frac{8 \, {\left(b x + a\right)} A a^{5} b^{2} d^{6} g}{d x + c} - \frac{8 \, {\left(b x + a\right)} B a^{5} b^{2} d^{6} g}{d x + c}}{b^{6} d^{2} - \frac{4 \, {\left(b x + a\right)} b^{5} d^{3}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b^{4} d^{4}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b^{3} d^{5}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{4} b^{2} d^{6}}{{\left(d x + c\right)}^{4}}} + \frac{2 \, {\left(B b^{5} c^{5} g n - 5 \, B a b^{4} c^{4} d g n + 10 \, B a^{2} b^{3} c^{3} d^{2} g n - 10 \, B a^{3} b^{2} c^{2} d^{3} g n + 5 \, B a^{4} b c d^{4} g n - B a^{5} d^{5} g n\right)} \log\left(-b + \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{3} d^{2}} - \frac{2 \, {\left(B b^{5} c^{5} g n - 5 \, B a b^{4} c^{4} d g n + 10 \, B a^{2} b^{3} c^{3} d^{2} g n - 10 \, B a^{3} b^{2} c^{2} d^{3} g n + 5 \, B a^{4} b c d^{4} g n - B a^{5} d^{5} g n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{3} d^{2}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/24*(2*(B*b^6*c^5*g*n - 5*B*a*b^5*c^4*d*g*n - 4*(b*x + a)*B*b^5*c^5*d*g*n/(d*x + c) + 10*B*a^2*b^4*c^3*d^2*g*n + 20*(b*x + a)*B*a*b^4*c^4*d^2*g*n/(d*x + c) - 10*B*a^3*b^3*c^2*d^3*g*n - 40*(b*x + a)*B*a^2*b^3*c^3*d^3*g*n/(d*x + c) + 5*B*a^4*b^2*c*d^4*g*n + 40*(b*x + a)*B*a^3*b^2*c^2*d^4*g*n/(d*x + c) - B*a^5*b*d^5*g*n - 20*(b*x + a)*B*a^4*b*c*d^5*g*n/(d*x + c) + 4*(b*x + a)*B*a^5*d^6*g*n/(d*x + c))*log((b*x + a)/(d*x + c))/(b^4*d^2 - 4*(b*x + a)*b^3*d^3/(d*x + c) + 6*(b*x + a)^2*b^2*d^4/(d*x + c)^2 - 4*(b*x + a)^3*b*d^5/(d*x + c)^3 + (b*x + a)^4*d^6/(d*x + c)^4) - (B*b^8*c^5*g*n - 5*B*a*b^7*c^4*d*g*n - 6*(b*x + a)*B*b^7*c^5*d*g*n/(d*x + c) + 10*B*a^2*b^6*c^3*d^2*g*n + 30*(b*x + a)*B*a*b^6*c^4*d^2*g*n/(d*x + c) + 7*(b*x + a)^2*B*b^6*c^5*d^2*g*n/(d*x + c)^2 - 10*B*a^3*b^5*c^2*d^3*g*n - 60*(b*x + a)*B*a^2*b^5*c^3*d^3*g*n/(d*x + c) - 35*(b*x + a)^2*B*a*b^5*c^4*d^3*g*n/(d*x + c)^2 - 2*(b*x + a)^3*B*b^5*c^5*d^3*g*n/(d*x + c)^3 + 5*B*a^4*b^4*c*d^4*g*n + 60*(b*x + a)*B*a^3*b^4*c^2*d^4*g*n/(d*x + c) + 70*(b*x + a)^2*B*a^2*b^4*c^3*d^4*g*n/(d*x + c)^2 + 10*(b*x + a)^3*B*a*b^4*c^4*d^4*g*n/(d*x + c)^3 - B*a^5*b^3*d^5*g*n - 30*(b*x + a)*B*a^4*b^3*c*d^5*g*n/(d*x + c) - 70*(b*x + a)^2*B*a^3*b^3*c^2*d^5*g*n/(d*x + c)^2 - 20*(b*x + a)^3*B*a^2*b^3*c^3*d^5*g*n/(d*x + c)^3 + 6*(b*x + a)*B*a^5*b^2*d^6*g*n/(d*x + c) + 35*(b*x + a)^2*B*a^4*b^2*c*d^6*g*n/(d*x + c)^2 + 20*(b*x + a)^3*B*a^3*b^2*c^2*d^6*g*n/(d*x + c)^3 - 7*(b*x + a)^2*B*a^5*b*d^7*g*n/(d*x + c)^2 - 10*(b*x + a)^3*B*a^4*b*c*d^7*g*n/(d*x + c)^3 + 2*(b*x + a)^3*B*a^5*d^8*g*n/(d*x + c)^3 - 2*A*b^8*c^5*g - 2*B*b^8*c^5*g + 10*A*a*b^7*c^4*d*g + 10*B*a*b^7*c^4*d*g + 8*(b*x + a)*A*b^7*c^5*d*g/(d*x + c) + 8*(b*x + a)*B*b^7*c^5*d*g/(d*x + c) - 20*A*a^2*b^6*c^3*d^2*g - 20*B*a^2*b^6*c^3*d^2*g - 40*(b*x + a)*A*a*b^6*c^4*d^2*g/(d*x + c) - 40*(b*x + a)*B*a*b^6*c^4*d^2*g/(d*x + c) + 20*A*a^3*b^5*c^2*d^3*g + 20*B*a^3*b^5*c^2*d^3*g + 80*(b*x + a)*A*a^2*b^5*c^3*d^3*g/(d*x + c) + 80*(b*x + a)*B*a^2*b^5*c^3*d^3*g/(d*x + c) - 10*A*a^4*b^4*c*d^4*g - 10*B*a^4*b^4*c*d^4*g - 80*(b*x + a)*A*a^3*b^4*c^2*d^4*g/(d*x + c) - 80*(b*x + a)*B*a^3*b^4*c^2*d^4*g/(d*x + c) + 2*A*a^5*b^3*d^5*g + 2*B*a^5*b^3*d^5*g + 40*(b*x + a)*A*a^4*b^3*c*d^5*g/(d*x + c) + 40*(b*x + a)*B*a^4*b^3*c*d^5*g/(d*x + c) - 8*(b*x + a)*A*a^5*b^2*d^6*g/(d*x + c) - 8*(b*x + a)*B*a^5*b^2*d^6*g/(d*x + c))/(b^6*d^2 - 4*(b*x + a)*b^5*d^3/(d*x + c) + 6*(b*x + a)^2*b^4*d^4/(d*x + c)^2 - 4*(b*x + a)^3*b^3*d^5/(d*x + c)^3 + (b*x + a)^4*b^2*d^6/(d*x + c)^4) + 2*(B*b^5*c^5*g*n - 5*B*a*b^4*c^4*d*g*n + 10*B*a^2*b^3*c^3*d^2*g*n - 10*B*a^3*b^2*c^2*d^3*g*n + 5*B*a^4*b*c*d^4*g*n - B*a^5*d^5*g*n)*log(-b + (b*x + a)*d/(d*x + c))/(b^3*d^2) - 2*(B*b^5*c^5*g*n - 5*B*a*b^4*c^4*d*g*n + 10*B*a^2*b^3*c^3*d^2*g*n - 10*B*a^3*b^2*c^2*d^3*g*n + 5*B*a^4*b*c*d^4*g*n - B*a^5*d^5*g*n)*log((b*x + a)/(d*x + c))/(b^3*d^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
120,1,860,0,1.599441," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","-\frac{1}{6} \, {\left(\frac{2 \, {\left(B b^{4} c^{4} n - 4 \, B a b^{3} c^{3} d n + 6 \, B a^{2} b^{2} c^{2} d^{2} n - 4 \, B a^{3} b c d^{3} n + B a^{4} d^{4} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{3} d - \frac{3 \, {\left(b x + a\right)} b^{2} d^{2}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} b d^{3}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} d^{4}}{{\left(d x + c\right)}^{3}}} - \frac{3 \, B b^{6} c^{4} n - 12 \, B a b^{5} c^{3} d n - \frac{5 \, {\left(b x + a\right)} B b^{5} c^{4} d n}{d x + c} + 18 \, B a^{2} b^{4} c^{2} d^{2} n + \frac{20 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} n}{d x + c} + \frac{2 \, {\left(b x + a\right)}^{2} B b^{4} c^{4} d^{2} n}{{\left(d x + c\right)}^{2}} - 12 \, B a^{3} b^{3} c d^{3} n - \frac{30 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} n}{d x + c} - \frac{8 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{3} n}{{\left(d x + c\right)}^{2}} + 3 \, B a^{4} b^{2} d^{4} n + \frac{20 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} n}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{4} n}{{\left(d x + c\right)}^{2}} - \frac{5 \, {\left(b x + a\right)} B a^{4} b d^{5} n}{d x + c} - \frac{8 \, {\left(b x + a\right)}^{2} B a^{3} b c d^{5} n}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x + a\right)}^{2} B a^{4} d^{6} n}{{\left(d x + c\right)}^{2}} - 2 \, A b^{6} c^{4} - 2 \, B b^{6} c^{4} + 8 \, A a b^{5} c^{3} d + 8 \, B a b^{5} c^{3} d - 12 \, A a^{2} b^{4} c^{2} d^{2} - 12 \, B a^{2} b^{4} c^{2} d^{2} + 8 \, A a^{3} b^{3} c d^{3} + 8 \, B a^{3} b^{3} c d^{3} - 2 \, A a^{4} b^{2} d^{4} - 2 \, B a^{4} b^{2} d^{4}}{b^{5} d - \frac{3 \, {\left(b x + a\right)} b^{4} d^{2}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} b^{3} d^{3}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} b^{2} d^{4}}{{\left(d x + c\right)}^{3}}} + \frac{2 \, {\left(B b^{4} c^{4} n - 4 \, B a b^{3} c^{3} d n + 6 \, B a^{2} b^{2} c^{2} d^{2} n - 4 \, B a^{3} b c d^{3} n + B a^{4} d^{4} n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{3} d} - \frac{2 \, {\left(B b^{4} c^{4} n - 4 \, B a b^{3} c^{3} d n + 6 \, B a^{2} b^{2} c^{2} d^{2} n - 4 \, B a^{3} b c d^{3} n + B a^{4} d^{4} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{3} d}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/6*(2*(B*b^4*c^4*n - 4*B*a*b^3*c^3*d*n + 6*B*a^2*b^2*c^2*d^2*n - 4*B*a^3*b*c*d^3*n + B*a^4*d^4*n)*log((b*x + a)/(d*x + c))/(b^3*d - 3*(b*x + a)*b^2*d^2/(d*x + c) + 3*(b*x + a)^2*b*d^3/(d*x + c)^2 - (b*x + a)^3*d^4/(d*x + c)^3) - (3*B*b^6*c^4*n - 12*B*a*b^5*c^3*d*n - 5*(b*x + a)*B*b^5*c^4*d*n/(d*x + c) + 18*B*a^2*b^4*c^2*d^2*n + 20*(b*x + a)*B*a*b^4*c^3*d^2*n/(d*x + c) + 2*(b*x + a)^2*B*b^4*c^4*d^2*n/(d*x + c)^2 - 12*B*a^3*b^3*c*d^3*n - 30*(b*x + a)*B*a^2*b^3*c^2*d^3*n/(d*x + c) - 8*(b*x + a)^2*B*a*b^3*c^3*d^3*n/(d*x + c)^2 + 3*B*a^4*b^2*d^4*n + 20*(b*x + a)*B*a^3*b^2*c*d^4*n/(d*x + c) + 12*(b*x + a)^2*B*a^2*b^2*c^2*d^4*n/(d*x + c)^2 - 5*(b*x + a)*B*a^4*b*d^5*n/(d*x + c) - 8*(b*x + a)^2*B*a^3*b*c*d^5*n/(d*x + c)^2 + 2*(b*x + a)^2*B*a^4*d^6*n/(d*x + c)^2 - 2*A*b^6*c^4 - 2*B*b^6*c^4 + 8*A*a*b^5*c^3*d + 8*B*a*b^5*c^3*d - 12*A*a^2*b^4*c^2*d^2 - 12*B*a^2*b^4*c^2*d^2 + 8*A*a^3*b^3*c*d^3 + 8*B*a^3*b^3*c*d^3 - 2*A*a^4*b^2*d^4 - 2*B*a^4*b^2*d^4)/(b^5*d - 3*(b*x + a)*b^4*d^2/(d*x + c) + 3*(b*x + a)^2*b^3*d^3/(d*x + c)^2 - (b*x + a)^3*b^2*d^4/(d*x + c)^3) + 2*(B*b^4*c^4*n - 4*B*a*b^3*c^3*d*n + 6*B*a^2*b^2*c^2*d^2*n - 4*B*a^3*b*c*d^3*n + B*a^4*d^4*n)*log(b - (b*x + a)*d/(d*x + c))/(b^3*d) - 2*(B*b^4*c^4*n - 4*B*a*b^3*c^3*d*n + 6*B*a^2*b^2*c^2*d^2*n - 4*B*a^3*b*c*d^3*n + B*a^4*d^4*n)*log((b*x + a)/(d*x + c))/(b^3*d))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
121,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
123,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,1,94,0,53.749506," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^4,x, algorithm=""giac"")","\frac{1}{9} \, {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)} {\left(\frac{3 \, {\left(d x + c\right)}^{3} B n \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b x + a\right)}^{3} g^{4}} + \frac{{\left(B n + 3 \, A + 3 \, B\right)} {\left(d x + c\right)}^{3}}{{\left(b x + a\right)}^{3} g^{4}}\right)}"," ",0,"1/9*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)*(3*(d*x + c)^3*B*n*log((b*x + a)/(d*x + c))/((b*x + a)^3*g^4) + (B*n + 3*A + 3*B)*(d*x + c)^3/((b*x + a)^3*g^4))","A",0
125,1,222,0,78.923110," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{1}{144} \, {\left(\frac{12 \, {\left(3 \, B b n - \frac{4 \, {\left(b x + a\right)} B d n}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{\frac{{\left(b x + a\right)}^{4} b c g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{4} a d g^{5}}{{\left(d x + c\right)}^{4}}} + \frac{9 \, B b n - \frac{16 \, {\left(b x + a\right)} B d n}{d x + c} + 36 \, A b + 36 \, B b - \frac{48 \, {\left(b x + a\right)} A d}{d x + c} - \frac{48 \, {\left(b x + a\right)} B d}{d x + c}}{\frac{{\left(b x + a\right)}^{4} b c g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{4} a d g^{5}}{{\left(d x + c\right)}^{4}}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/144*(12*(3*B*b*n - 4*(b*x + a)*B*d*n/(d*x + c))*log((b*x + a)/(d*x + c))/((b*x + a)^4*b*c*g^5/(d*x + c)^4 - (b*x + a)^4*a*d*g^5/(d*x + c)^4) + (9*B*b*n - 16*(b*x + a)*B*d*n/(d*x + c) + 36*A*b + 36*B*b - 48*(b*x + a)*A*d/(d*x + c) - 48*(b*x + a)*B*d/(d*x + c))/((b*x + a)^4*b*c*g^5/(d*x + c)^4 - (b*x + a)^4*a*d*g^5/(d*x + c)^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
126,1,376,0,110.702034," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^6,x, algorithm=""giac"")","\frac{1}{1800} \, {\left(\frac{60 \, {\left(6 \, B b^{2} n - \frac{15 \, {\left(b x + a\right)} B b d n}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} B d^{2} n}{{\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{\frac{{\left(b x + a\right)}^{5} b^{2} c^{2} g^{6}}{{\left(d x + c\right)}^{5}} - \frac{2 \, {\left(b x + a\right)}^{5} a b c d g^{6}}{{\left(d x + c\right)}^{5}} + \frac{{\left(b x + a\right)}^{5} a^{2} d^{2} g^{6}}{{\left(d x + c\right)}^{5}}} + \frac{72 \, B b^{2} n - \frac{225 \, {\left(b x + a\right)} B b d n}{d x + c} + \frac{200 \, {\left(b x + a\right)}^{2} B d^{2} n}{{\left(d x + c\right)}^{2}} + 360 \, A b^{2} + 360 \, B b^{2} - \frac{900 \, {\left(b x + a\right)} A b d}{d x + c} - \frac{900 \, {\left(b x + a\right)} B b d}{d x + c} + \frac{600 \, {\left(b x + a\right)}^{2} A d^{2}}{{\left(d x + c\right)}^{2}} + \frac{600 \, {\left(b x + a\right)}^{2} B d^{2}}{{\left(d x + c\right)}^{2}}}{\frac{{\left(b x + a\right)}^{5} b^{2} c^{2} g^{6}}{{\left(d x + c\right)}^{5}} - \frac{2 \, {\left(b x + a\right)}^{5} a b c d g^{6}}{{\left(d x + c\right)}^{5}} + \frac{{\left(b x + a\right)}^{5} a^{2} d^{2} g^{6}}{{\left(d x + c\right)}^{5}}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/1800*(60*(6*B*b^2*n - 15*(b*x + a)*B*b*d*n/(d*x + c) + 10*(b*x + a)^2*B*d^2*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/((b*x + a)^5*b^2*c^2*g^6/(d*x + c)^5 - 2*(b*x + a)^5*a*b*c*d*g^6/(d*x + c)^5 + (b*x + a)^5*a^2*d^2*g^6/(d*x + c)^5) + (72*B*b^2*n - 225*(b*x + a)*B*b*d*n/(d*x + c) + 200*(b*x + a)^2*B*d^2*n/(d*x + c)^2 + 360*A*b^2 + 360*B*b^2 - 900*(b*x + a)*A*b*d/(d*x + c) - 900*(b*x + a)*B*b*d/(d*x + c) + 600*(b*x + a)^2*A*d^2/(d*x + c)^2 + 600*(b*x + a)^2*B*d^2/(d*x + c)^2)/((b*x + a)^5*b^2*c^2*g^6/(d*x + c)^5 - 2*(b*x + a)^5*a*b*c*d*g^6/(d*x + c)^5 + (b*x + a)^5*a^2*d^2*g^6/(d*x + c)^5))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
127,1,5502,0,15.017440," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{840} \, {\left(\frac{6 \, {\left(B b^{11} c^{8} g^{3} i n - 8 \, B a b^{10} c^{7} d g^{3} i n - \frac{7 \, {\left(b x + a\right)} B b^{10} c^{8} d g^{3} i n}{d x + c} + 28 \, B a^{2} b^{9} c^{6} d^{2} g^{3} i n + \frac{56 \, {\left(b x + a\right)} B a b^{9} c^{7} d^{2} g^{3} i n}{d x + c} + \frac{21 \, {\left(b x + a\right)}^{2} B b^{9} c^{8} d^{2} g^{3} i n}{{\left(d x + c\right)}^{2}} - 56 \, B a^{3} b^{8} c^{5} d^{3} g^{3} i n - \frac{196 \, {\left(b x + a\right)} B a^{2} b^{8} c^{6} d^{3} g^{3} i n}{d x + c} - \frac{168 \, {\left(b x + a\right)}^{2} B a b^{8} c^{7} d^{3} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{35 \, {\left(b x + a\right)}^{3} B b^{8} c^{8} d^{3} g^{3} i n}{{\left(d x + c\right)}^{3}} + 70 \, B a^{4} b^{7} c^{4} d^{4} g^{3} i n + \frac{392 \, {\left(b x + a\right)} B a^{3} b^{7} c^{5} d^{4} g^{3} i n}{d x + c} + \frac{588 \, {\left(b x + a\right)}^{2} B a^{2} b^{7} c^{6} d^{4} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{280 \, {\left(b x + a\right)}^{3} B a b^{7} c^{7} d^{4} g^{3} i n}{{\left(d x + c\right)}^{3}} - 56 \, B a^{5} b^{6} c^{3} d^{5} g^{3} i n - \frac{490 \, {\left(b x + a\right)} B a^{4} b^{6} c^{4} d^{5} g^{3} i n}{d x + c} - \frac{1176 \, {\left(b x + a\right)}^{2} B a^{3} b^{6} c^{5} d^{5} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{980 \, {\left(b x + a\right)}^{3} B a^{2} b^{6} c^{6} d^{5} g^{3} i n}{{\left(d x + c\right)}^{3}} + 28 \, B a^{6} b^{5} c^{2} d^{6} g^{3} i n + \frac{392 \, {\left(b x + a\right)} B a^{5} b^{5} c^{3} d^{6} g^{3} i n}{d x + c} + \frac{1470 \, {\left(b x + a\right)}^{2} B a^{4} b^{5} c^{4} d^{6} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{1960 \, {\left(b x + a\right)}^{3} B a^{3} b^{5} c^{5} d^{6} g^{3} i n}{{\left(d x + c\right)}^{3}} - 8 \, B a^{7} b^{4} c d^{7} g^{3} i n - \frac{196 \, {\left(b x + a\right)} B a^{6} b^{4} c^{2} d^{7} g^{3} i n}{d x + c} - \frac{1176 \, {\left(b x + a\right)}^{2} B a^{5} b^{4} c^{3} d^{7} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{2450 \, {\left(b x + a\right)}^{3} B a^{4} b^{4} c^{4} d^{7} g^{3} i n}{{\left(d x + c\right)}^{3}} + B a^{8} b^{3} d^{8} g^{3} i n + \frac{56 \, {\left(b x + a\right)} B a^{7} b^{3} c d^{8} g^{3} i n}{d x + c} + \frac{588 \, {\left(b x + a\right)}^{2} B a^{6} b^{3} c^{2} d^{8} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{1960 \, {\left(b x + a\right)}^{3} B a^{5} b^{3} c^{3} d^{8} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{7 \, {\left(b x + a\right)} B a^{8} b^{2} d^{9} g^{3} i n}{d x + c} - \frac{168 \, {\left(b x + a\right)}^{2} B a^{7} b^{2} c d^{9} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{980 \, {\left(b x + a\right)}^{3} B a^{6} b^{2} c^{2} d^{9} g^{3} i n}{{\left(d x + c\right)}^{3}} + \frac{21 \, {\left(b x + a\right)}^{2} B a^{8} b d^{10} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{280 \, {\left(b x + a\right)}^{3} B a^{7} b c d^{10} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{35 \, {\left(b x + a\right)}^{3} B a^{8} d^{11} g^{3} i n}{{\left(d x + c\right)}^{3}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{7} d^{4} - \frac{7 \, {\left(b x + a\right)} b^{6} d^{5}}{d x + c} + \frac{21 \, {\left(b x + a\right)}^{2} b^{5} d^{6}}{{\left(d x + c\right)}^{2}} - \frac{35 \, {\left(b x + a\right)}^{3} b^{4} d^{7}}{{\left(d x + c\right)}^{3}} + \frac{35 \, {\left(b x + a\right)}^{4} b^{3} d^{8}}{{\left(d x + c\right)}^{4}} - \frac{21 \, {\left(b x + a\right)}^{5} b^{2} d^{9}}{{\left(d x + c\right)}^{5}} + \frac{7 \, {\left(b x + a\right)}^{6} b d^{10}}{{\left(d x + c\right)}^{6}} - \frac{{\left(b x + a\right)}^{7} d^{11}}{{\left(d x + c\right)}^{7}}} + \frac{\frac{6 \, {\left(b x + a\right)} B b^{13} c^{8} d g^{3} i n}{d x + c} - \frac{48 \, {\left(b x + a\right)} B a b^{12} c^{7} d^{2} g^{3} i n}{d x + c} - \frac{39 \, {\left(b x + a\right)}^{2} B b^{12} c^{8} d^{2} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{168 \, {\left(b x + a\right)} B a^{2} b^{11} c^{6} d^{3} g^{3} i n}{d x + c} + \frac{312 \, {\left(b x + a\right)}^{2} B a b^{11} c^{7} d^{3} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{107 \, {\left(b x + a\right)}^{3} B b^{11} c^{8} d^{3} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{336 \, {\left(b x + a\right)} B a^{3} b^{10} c^{5} d^{4} g^{3} i n}{d x + c} - \frac{1092 \, {\left(b x + a\right)}^{2} B a^{2} b^{10} c^{6} d^{4} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{856 \, {\left(b x + a\right)}^{3} B a b^{10} c^{7} d^{4} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{107 \, {\left(b x + a\right)}^{4} B b^{10} c^{8} d^{4} g^{3} i n}{{\left(d x + c\right)}^{4}} + \frac{420 \, {\left(b x + a\right)} B a^{4} b^{9} c^{4} d^{5} g^{3} i n}{d x + c} + \frac{2184 \, {\left(b x + a\right)}^{2} B a^{3} b^{9} c^{5} d^{5} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{2996 \, {\left(b x + a\right)}^{3} B a^{2} b^{9} c^{6} d^{5} g^{3} i n}{{\left(d x + c\right)}^{3}} + \frac{856 \, {\left(b x + a\right)}^{4} B a b^{9} c^{7} d^{5} g^{3} i n}{{\left(d x + c\right)}^{4}} + \frac{39 \, {\left(b x + a\right)}^{5} B b^{9} c^{8} d^{5} g^{3} i n}{{\left(d x + c\right)}^{5}} - \frac{336 \, {\left(b x + a\right)} B a^{5} b^{8} c^{3} d^{6} g^{3} i n}{d x + c} - \frac{2730 \, {\left(b x + a\right)}^{2} B a^{4} b^{8} c^{4} d^{6} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{5992 \, {\left(b x + a\right)}^{3} B a^{3} b^{8} c^{5} d^{6} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{2996 \, {\left(b x + a\right)}^{4} B a^{2} b^{8} c^{6} d^{6} g^{3} i n}{{\left(d x + c\right)}^{4}} - \frac{312 \, {\left(b x + a\right)}^{5} B a b^{8} c^{7} d^{6} g^{3} i n}{{\left(d x + c\right)}^{5}} - \frac{6 \, {\left(b x + a\right)}^{6} B b^{8} c^{8} d^{6} g^{3} i n}{{\left(d x + c\right)}^{6}} + \frac{168 \, {\left(b x + a\right)} B a^{6} b^{7} c^{2} d^{7} g^{3} i n}{d x + c} + \frac{2184 \, {\left(b x + a\right)}^{2} B a^{5} b^{7} c^{3} d^{7} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{7490 \, {\left(b x + a\right)}^{3} B a^{4} b^{7} c^{4} d^{7} g^{3} i n}{{\left(d x + c\right)}^{3}} + \frac{5992 \, {\left(b x + a\right)}^{4} B a^{3} b^{7} c^{5} d^{7} g^{3} i n}{{\left(d x + c\right)}^{4}} + \frac{1092 \, {\left(b x + a\right)}^{5} B a^{2} b^{7} c^{6} d^{7} g^{3} i n}{{\left(d x + c\right)}^{5}} + \frac{48 \, {\left(b x + a\right)}^{6} B a b^{7} c^{7} d^{7} g^{3} i n}{{\left(d x + c\right)}^{6}} - \frac{48 \, {\left(b x + a\right)} B a^{7} b^{6} c d^{8} g^{3} i n}{d x + c} - \frac{1092 \, {\left(b x + a\right)}^{2} B a^{6} b^{6} c^{2} d^{8} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{5992 \, {\left(b x + a\right)}^{3} B a^{5} b^{6} c^{3} d^{8} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{7490 \, {\left(b x + a\right)}^{4} B a^{4} b^{6} c^{4} d^{8} g^{3} i n}{{\left(d x + c\right)}^{4}} - \frac{2184 \, {\left(b x + a\right)}^{5} B a^{3} b^{6} c^{5} d^{8} g^{3} i n}{{\left(d x + c\right)}^{5}} - \frac{168 \, {\left(b x + a\right)}^{6} B a^{2} b^{6} c^{6} d^{8} g^{3} i n}{{\left(d x + c\right)}^{6}} + \frac{6 \, {\left(b x + a\right)} B a^{8} b^{5} d^{9} g^{3} i n}{d x + c} + \frac{312 \, {\left(b x + a\right)}^{2} B a^{7} b^{5} c d^{9} g^{3} i n}{{\left(d x + c\right)}^{2}} + \frac{2996 \, {\left(b x + a\right)}^{3} B a^{6} b^{5} c^{2} d^{9} g^{3} i n}{{\left(d x + c\right)}^{3}} + \frac{5992 \, {\left(b x + a\right)}^{4} B a^{5} b^{5} c^{3} d^{9} g^{3} i n}{{\left(d x + c\right)}^{4}} + \frac{2730 \, {\left(b x + a\right)}^{5} B a^{4} b^{5} c^{4} d^{9} g^{3} i n}{{\left(d x + c\right)}^{5}} + \frac{336 \, {\left(b x + a\right)}^{6} B a^{3} b^{5} c^{5} d^{9} g^{3} i n}{{\left(d x + c\right)}^{6}} - \frac{39 \, {\left(b x + a\right)}^{2} B a^{8} b^{4} d^{10} g^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{856 \, {\left(b x + a\right)}^{3} B a^{7} b^{4} c d^{10} g^{3} i n}{{\left(d x + c\right)}^{3}} - \frac{2996 \, {\left(b x + a\right)}^{4} B a^{6} b^{4} c^{2} d^{10} g^{3} i n}{{\left(d x + c\right)}^{4}} - \frac{2184 \, {\left(b x + a\right)}^{5} B a^{5} b^{4} c^{3} d^{10} g^{3} i n}{{\left(d x + c\right)}^{5}} - \frac{420 \, {\left(b x + a\right)}^{6} B a^{4} b^{4} c^{4} d^{10} g^{3} i n}{{\left(d x + c\right)}^{6}} + \frac{107 \, {\left(b x + a\right)}^{3} B a^{8} b^{3} d^{11} g^{3} i n}{{\left(d x + c\right)}^{3}} + \frac{856 \, {\left(b x + a\right)}^{4} B a^{7} b^{3} c d^{11} g^{3} i n}{{\left(d x + c\right)}^{4}} + \frac{1092 \, {\left(b x + a\right)}^{5} B a^{6} b^{3} c^{2} d^{11} g^{3} i n}{{\left(d x + c\right)}^{5}} + \frac{336 \, {\left(b x + a\right)}^{6} B a^{5} b^{3} c^{3} d^{11} g^{3} i n}{{\left(d x + c\right)}^{6}} - \frac{107 \, {\left(b x + a\right)}^{4} B a^{8} b^{2} d^{12} g^{3} i n}{{\left(d x + c\right)}^{4}} - \frac{312 \, {\left(b x + a\right)}^{5} B a^{7} b^{2} c d^{12} g^{3} i n}{{\left(d x + c\right)}^{5}} - \frac{168 \, {\left(b x + a\right)}^{6} B a^{6} b^{2} c^{2} d^{12} g^{3} i n}{{\left(d x + c\right)}^{6}} + \frac{39 \, {\left(b x + a\right)}^{5} B a^{8} b d^{13} g^{3} i n}{{\left(d x + c\right)}^{5}} + \frac{48 \, {\left(b x + a\right)}^{6} B a^{7} b c d^{13} g^{3} i n}{{\left(d x + c\right)}^{6}} - \frac{6 \, {\left(b x + a\right)}^{6} B a^{8} d^{14} g^{3} i n}{{\left(d x + c\right)}^{6}} + 6 \, A b^{14} c^{8} g^{3} i + 6 \, B b^{14} c^{8} g^{3} i - 48 \, A a b^{13} c^{7} d g^{3} i - 48 \, B a b^{13} c^{7} d g^{3} i - \frac{42 \, {\left(b x + a\right)} A b^{13} c^{8} d g^{3} i}{d x + c} - \frac{42 \, {\left(b x + a\right)} B b^{13} c^{8} d g^{3} i}{d x + c} + 168 \, A a^{2} b^{12} c^{6} d^{2} g^{3} i + 168 \, B a^{2} b^{12} c^{6} d^{2} g^{3} i + \frac{336 \, {\left(b x + a\right)} A a b^{12} c^{7} d^{2} g^{3} i}{d x + c} + \frac{336 \, {\left(b x + a\right)} B a b^{12} c^{7} d^{2} g^{3} i}{d x + c} + \frac{126 \, {\left(b x + a\right)}^{2} A b^{12} c^{8} d^{2} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{126 \, {\left(b x + a\right)}^{2} B b^{12} c^{8} d^{2} g^{3} i}{{\left(d x + c\right)}^{2}} - 336 \, A a^{3} b^{11} c^{5} d^{3} g^{3} i - 336 \, B a^{3} b^{11} c^{5} d^{3} g^{3} i - \frac{1176 \, {\left(b x + a\right)} A a^{2} b^{11} c^{6} d^{3} g^{3} i}{d x + c} - \frac{1176 \, {\left(b x + a\right)} B a^{2} b^{11} c^{6} d^{3} g^{3} i}{d x + c} - \frac{1008 \, {\left(b x + a\right)}^{2} A a b^{11} c^{7} d^{3} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{1008 \, {\left(b x + a\right)}^{2} B a b^{11} c^{7} d^{3} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{210 \, {\left(b x + a\right)}^{3} A b^{11} c^{8} d^{3} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{210 \, {\left(b x + a\right)}^{3} B b^{11} c^{8} d^{3} g^{3} i}{{\left(d x + c\right)}^{3}} + 420 \, A a^{4} b^{10} c^{4} d^{4} g^{3} i + 420 \, B a^{4} b^{10} c^{4} d^{4} g^{3} i + \frac{2352 \, {\left(b x + a\right)} A a^{3} b^{10} c^{5} d^{4} g^{3} i}{d x + c} + \frac{2352 \, {\left(b x + a\right)} B a^{3} b^{10} c^{5} d^{4} g^{3} i}{d x + c} + \frac{3528 \, {\left(b x + a\right)}^{2} A a^{2} b^{10} c^{6} d^{4} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{3528 \, {\left(b x + a\right)}^{2} B a^{2} b^{10} c^{6} d^{4} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{1680 \, {\left(b x + a\right)}^{3} A a b^{10} c^{7} d^{4} g^{3} i}{{\left(d x + c\right)}^{3}} + \frac{1680 \, {\left(b x + a\right)}^{3} B a b^{10} c^{7} d^{4} g^{3} i}{{\left(d x + c\right)}^{3}} - 336 \, A a^{5} b^{9} c^{3} d^{5} g^{3} i - 336 \, B a^{5} b^{9} c^{3} d^{5} g^{3} i - \frac{2940 \, {\left(b x + a\right)} A a^{4} b^{9} c^{4} d^{5} g^{3} i}{d x + c} - \frac{2940 \, {\left(b x + a\right)} B a^{4} b^{9} c^{4} d^{5} g^{3} i}{d x + c} - \frac{7056 \, {\left(b x + a\right)}^{2} A a^{3} b^{9} c^{5} d^{5} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{7056 \, {\left(b x + a\right)}^{2} B a^{3} b^{9} c^{5} d^{5} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{5880 \, {\left(b x + a\right)}^{3} A a^{2} b^{9} c^{6} d^{5} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{5880 \, {\left(b x + a\right)}^{3} B a^{2} b^{9} c^{6} d^{5} g^{3} i}{{\left(d x + c\right)}^{3}} + 168 \, A a^{6} b^{8} c^{2} d^{6} g^{3} i + 168 \, B a^{6} b^{8} c^{2} d^{6} g^{3} i + \frac{2352 \, {\left(b x + a\right)} A a^{5} b^{8} c^{3} d^{6} g^{3} i}{d x + c} + \frac{2352 \, {\left(b x + a\right)} B a^{5} b^{8} c^{3} d^{6} g^{3} i}{d x + c} + \frac{8820 \, {\left(b x + a\right)}^{2} A a^{4} b^{8} c^{4} d^{6} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{8820 \, {\left(b x + a\right)}^{2} B a^{4} b^{8} c^{4} d^{6} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{11760 \, {\left(b x + a\right)}^{3} A a^{3} b^{8} c^{5} d^{6} g^{3} i}{{\left(d x + c\right)}^{3}} + \frac{11760 \, {\left(b x + a\right)}^{3} B a^{3} b^{8} c^{5} d^{6} g^{3} i}{{\left(d x + c\right)}^{3}} - 48 \, A a^{7} b^{7} c d^{7} g^{3} i - 48 \, B a^{7} b^{7} c d^{7} g^{3} i - \frac{1176 \, {\left(b x + a\right)} A a^{6} b^{7} c^{2} d^{7} g^{3} i}{d x + c} - \frac{1176 \, {\left(b x + a\right)} B a^{6} b^{7} c^{2} d^{7} g^{3} i}{d x + c} - \frac{7056 \, {\left(b x + a\right)}^{2} A a^{5} b^{7} c^{3} d^{7} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{7056 \, {\left(b x + a\right)}^{2} B a^{5} b^{7} c^{3} d^{7} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{14700 \, {\left(b x + a\right)}^{3} A a^{4} b^{7} c^{4} d^{7} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{14700 \, {\left(b x + a\right)}^{3} B a^{4} b^{7} c^{4} d^{7} g^{3} i}{{\left(d x + c\right)}^{3}} + 6 \, A a^{8} b^{6} d^{8} g^{3} i + 6 \, B a^{8} b^{6} d^{8} g^{3} i + \frac{336 \, {\left(b x + a\right)} A a^{7} b^{6} c d^{8} g^{3} i}{d x + c} + \frac{336 \, {\left(b x + a\right)} B a^{7} b^{6} c d^{8} g^{3} i}{d x + c} + \frac{3528 \, {\left(b x + a\right)}^{2} A a^{6} b^{6} c^{2} d^{8} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{3528 \, {\left(b x + a\right)}^{2} B a^{6} b^{6} c^{2} d^{8} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{11760 \, {\left(b x + a\right)}^{3} A a^{5} b^{6} c^{3} d^{8} g^{3} i}{{\left(d x + c\right)}^{3}} + \frac{11760 \, {\left(b x + a\right)}^{3} B a^{5} b^{6} c^{3} d^{8} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{42 \, {\left(b x + a\right)} A a^{8} b^{5} d^{9} g^{3} i}{d x + c} - \frac{42 \, {\left(b x + a\right)} B a^{8} b^{5} d^{9} g^{3} i}{d x + c} - \frac{1008 \, {\left(b x + a\right)}^{2} A a^{7} b^{5} c d^{9} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{1008 \, {\left(b x + a\right)}^{2} B a^{7} b^{5} c d^{9} g^{3} i}{{\left(d x + c\right)}^{2}} - \frac{5880 \, {\left(b x + a\right)}^{3} A a^{6} b^{5} c^{2} d^{9} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{5880 \, {\left(b x + a\right)}^{3} B a^{6} b^{5} c^{2} d^{9} g^{3} i}{{\left(d x + c\right)}^{3}} + \frac{126 \, {\left(b x + a\right)}^{2} A a^{8} b^{4} d^{10} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{126 \, {\left(b x + a\right)}^{2} B a^{8} b^{4} d^{10} g^{3} i}{{\left(d x + c\right)}^{2}} + \frac{1680 \, {\left(b x + a\right)}^{3} A a^{7} b^{4} c d^{10} g^{3} i}{{\left(d x + c\right)}^{3}} + \frac{1680 \, {\left(b x + a\right)}^{3} B a^{7} b^{4} c d^{10} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{210 \, {\left(b x + a\right)}^{3} A a^{8} b^{3} d^{11} g^{3} i}{{\left(d x + c\right)}^{3}} - \frac{210 \, {\left(b x + a\right)}^{3} B a^{8} b^{3} d^{11} g^{3} i}{{\left(d x + c\right)}^{3}}}{b^{10} d^{4} - \frac{7 \, {\left(b x + a\right)} b^{9} d^{5}}{d x + c} + \frac{21 \, {\left(b x + a\right)}^{2} b^{8} d^{6}}{{\left(d x + c\right)}^{2}} - \frac{35 \, {\left(b x + a\right)}^{3} b^{7} d^{7}}{{\left(d x + c\right)}^{3}} + \frac{35 \, {\left(b x + a\right)}^{4} b^{6} d^{8}}{{\left(d x + c\right)}^{4}} - \frac{21 \, {\left(b x + a\right)}^{5} b^{5} d^{9}}{{\left(d x + c\right)}^{5}} + \frac{7 \, {\left(b x + a\right)}^{6} b^{4} d^{10}}{{\left(d x + c\right)}^{6}} - \frac{{\left(b x + a\right)}^{7} b^{3} d^{11}}{{\left(d x + c\right)}^{7}}} + \frac{6 \, {\left(B b^{8} c^{8} g^{3} i n - 8 \, B a b^{7} c^{7} d g^{3} i n + 28 \, B a^{2} b^{6} c^{6} d^{2} g^{3} i n - 56 \, B a^{3} b^{5} c^{5} d^{3} g^{3} i n + 70 \, B a^{4} b^{4} c^{4} d^{4} g^{3} i n - 56 \, B a^{5} b^{3} c^{3} d^{5} g^{3} i n + 28 \, B a^{6} b^{2} c^{2} d^{6} g^{3} i n - 8 \, B a^{7} b c d^{7} g^{3} i n + B a^{8} d^{8} g^{3} i n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{4} d^{4}} - \frac{6 \, {\left(B b^{8} c^{8} g^{3} i n - 8 \, B a b^{7} c^{7} d g^{3} i n + 28 \, B a^{2} b^{6} c^{6} d^{2} g^{3} i n - 56 \, B a^{3} b^{5} c^{5} d^{3} g^{3} i n + 70 \, B a^{4} b^{4} c^{4} d^{4} g^{3} i n - 56 \, B a^{5} b^{3} c^{3} d^{5} g^{3} i n + 28 \, B a^{6} b^{2} c^{2} d^{6} g^{3} i n - 8 \, B a^{7} b c d^{7} g^{3} i n + B a^{8} d^{8} g^{3} i n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{4} d^{4}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/840*(6*(B*b^11*c^8*g^3*i*n - 8*B*a*b^10*c^7*d*g^3*i*n - 7*(b*x + a)*B*b^10*c^8*d*g^3*i*n/(d*x + c) + 28*B*a^2*b^9*c^6*d^2*g^3*i*n + 56*(b*x + a)*B*a*b^9*c^7*d^2*g^3*i*n/(d*x + c) + 21*(b*x + a)^2*B*b^9*c^8*d^2*g^3*i*n/(d*x + c)^2 - 56*B*a^3*b^8*c^5*d^3*g^3*i*n - 196*(b*x + a)*B*a^2*b^8*c^6*d^3*g^3*i*n/(d*x + c) - 168*(b*x + a)^2*B*a*b^8*c^7*d^3*g^3*i*n/(d*x + c)^2 - 35*(b*x + a)^3*B*b^8*c^8*d^3*g^3*i*n/(d*x + c)^3 + 70*B*a^4*b^7*c^4*d^4*g^3*i*n + 392*(b*x + a)*B*a^3*b^7*c^5*d^4*g^3*i*n/(d*x + c) + 588*(b*x + a)^2*B*a^2*b^7*c^6*d^4*g^3*i*n/(d*x + c)^2 + 280*(b*x + a)^3*B*a*b^7*c^7*d^4*g^3*i*n/(d*x + c)^3 - 56*B*a^5*b^6*c^3*d^5*g^3*i*n - 490*(b*x + a)*B*a^4*b^6*c^4*d^5*g^3*i*n/(d*x + c) - 1176*(b*x + a)^2*B*a^3*b^6*c^5*d^5*g^3*i*n/(d*x + c)^2 - 980*(b*x + a)^3*B*a^2*b^6*c^6*d^5*g^3*i*n/(d*x + c)^3 + 28*B*a^6*b^5*c^2*d^6*g^3*i*n + 392*(b*x + a)*B*a^5*b^5*c^3*d^6*g^3*i*n/(d*x + c) + 1470*(b*x + a)^2*B*a^4*b^5*c^4*d^6*g^3*i*n/(d*x + c)^2 + 1960*(b*x + a)^3*B*a^3*b^5*c^5*d^6*g^3*i*n/(d*x + c)^3 - 8*B*a^7*b^4*c*d^7*g^3*i*n - 196*(b*x + a)*B*a^6*b^4*c^2*d^7*g^3*i*n/(d*x + c) - 1176*(b*x + a)^2*B*a^5*b^4*c^3*d^7*g^3*i*n/(d*x + c)^2 - 2450*(b*x + a)^3*B*a^4*b^4*c^4*d^7*g^3*i*n/(d*x + c)^3 + B*a^8*b^3*d^8*g^3*i*n + 56*(b*x + a)*B*a^7*b^3*c*d^8*g^3*i*n/(d*x + c) + 588*(b*x + a)^2*B*a^6*b^3*c^2*d^8*g^3*i*n/(d*x + c)^2 + 1960*(b*x + a)^3*B*a^5*b^3*c^3*d^8*g^3*i*n/(d*x + c)^3 - 7*(b*x + a)*B*a^8*b^2*d^9*g^3*i*n/(d*x + c) - 168*(b*x + a)^2*B*a^7*b^2*c*d^9*g^3*i*n/(d*x + c)^2 - 980*(b*x + a)^3*B*a^6*b^2*c^2*d^9*g^3*i*n/(d*x + c)^3 + 21*(b*x + a)^2*B*a^8*b*d^10*g^3*i*n/(d*x + c)^2 + 280*(b*x + a)^3*B*a^7*b*c*d^10*g^3*i*n/(d*x + c)^3 - 35*(b*x + a)^3*B*a^8*d^11*g^3*i*n/(d*x + c)^3)*log((b*x + a)/(d*x + c))/(b^7*d^4 - 7*(b*x + a)*b^6*d^5/(d*x + c) + 21*(b*x + a)^2*b^5*d^6/(d*x + c)^2 - 35*(b*x + a)^3*b^4*d^7/(d*x + c)^3 + 35*(b*x + a)^4*b^3*d^8/(d*x + c)^4 - 21*(b*x + a)^5*b^2*d^9/(d*x + c)^5 + 7*(b*x + a)^6*b*d^10/(d*x + c)^6 - (b*x + a)^7*d^11/(d*x + c)^7) + (6*(b*x + a)*B*b^13*c^8*d*g^3*i*n/(d*x + c) - 48*(b*x + a)*B*a*b^12*c^7*d^2*g^3*i*n/(d*x + c) - 39*(b*x + a)^2*B*b^12*c^8*d^2*g^3*i*n/(d*x + c)^2 + 168*(b*x + a)*B*a^2*b^11*c^6*d^3*g^3*i*n/(d*x + c) + 312*(b*x + a)^2*B*a*b^11*c^7*d^3*g^3*i*n/(d*x + c)^2 + 107*(b*x + a)^3*B*b^11*c^8*d^3*g^3*i*n/(d*x + c)^3 - 336*(b*x + a)*B*a^3*b^10*c^5*d^4*g^3*i*n/(d*x + c) - 1092*(b*x + a)^2*B*a^2*b^10*c^6*d^4*g^3*i*n/(d*x + c)^2 - 856*(b*x + a)^3*B*a*b^10*c^7*d^4*g^3*i*n/(d*x + c)^3 - 107*(b*x + a)^4*B*b^10*c^8*d^4*g^3*i*n/(d*x + c)^4 + 420*(b*x + a)*B*a^4*b^9*c^4*d^5*g^3*i*n/(d*x + c) + 2184*(b*x + a)^2*B*a^3*b^9*c^5*d^5*g^3*i*n/(d*x + c)^2 + 2996*(b*x + a)^3*B*a^2*b^9*c^6*d^5*g^3*i*n/(d*x + c)^3 + 856*(b*x + a)^4*B*a*b^9*c^7*d^5*g^3*i*n/(d*x + c)^4 + 39*(b*x + a)^5*B*b^9*c^8*d^5*g^3*i*n/(d*x + c)^5 - 336*(b*x + a)*B*a^5*b^8*c^3*d^6*g^3*i*n/(d*x + c) - 2730*(b*x + a)^2*B*a^4*b^8*c^4*d^6*g^3*i*n/(d*x + c)^2 - 5992*(b*x + a)^3*B*a^3*b^8*c^5*d^6*g^3*i*n/(d*x + c)^3 - 2996*(b*x + a)^4*B*a^2*b^8*c^6*d^6*g^3*i*n/(d*x + c)^4 - 312*(b*x + a)^5*B*a*b^8*c^7*d^6*g^3*i*n/(d*x + c)^5 - 6*(b*x + a)^6*B*b^8*c^8*d^6*g^3*i*n/(d*x + c)^6 + 168*(b*x + a)*B*a^6*b^7*c^2*d^7*g^3*i*n/(d*x + c) + 2184*(b*x + a)^2*B*a^5*b^7*c^3*d^7*g^3*i*n/(d*x + c)^2 + 7490*(b*x + a)^3*B*a^4*b^7*c^4*d^7*g^3*i*n/(d*x + c)^3 + 5992*(b*x + a)^4*B*a^3*b^7*c^5*d^7*g^3*i*n/(d*x + c)^4 + 1092*(b*x + a)^5*B*a^2*b^7*c^6*d^7*g^3*i*n/(d*x + c)^5 + 48*(b*x + a)^6*B*a*b^7*c^7*d^7*g^3*i*n/(d*x + c)^6 - 48*(b*x + a)*B*a^7*b^6*c*d^8*g^3*i*n/(d*x + c) - 1092*(b*x + a)^2*B*a^6*b^6*c^2*d^8*g^3*i*n/(d*x + c)^2 - 5992*(b*x + a)^3*B*a^5*b^6*c^3*d^8*g^3*i*n/(d*x + c)^3 - 7490*(b*x + a)^4*B*a^4*b^6*c^4*d^8*g^3*i*n/(d*x + c)^4 - 2184*(b*x + a)^5*B*a^3*b^6*c^5*d^8*g^3*i*n/(d*x + c)^5 - 168*(b*x + a)^6*B*a^2*b^6*c^6*d^8*g^3*i*n/(d*x + c)^6 + 6*(b*x + a)*B*a^8*b^5*d^9*g^3*i*n/(d*x + c) + 312*(b*x + a)^2*B*a^7*b^5*c*d^9*g^3*i*n/(d*x + c)^2 + 2996*(b*x + a)^3*B*a^6*b^5*c^2*d^9*g^3*i*n/(d*x + c)^3 + 5992*(b*x + a)^4*B*a^5*b^5*c^3*d^9*g^3*i*n/(d*x + c)^4 + 2730*(b*x + a)^5*B*a^4*b^5*c^4*d^9*g^3*i*n/(d*x + c)^5 + 336*(b*x + a)^6*B*a^3*b^5*c^5*d^9*g^3*i*n/(d*x + c)^6 - 39*(b*x + a)^2*B*a^8*b^4*d^10*g^3*i*n/(d*x + c)^2 - 856*(b*x + a)^3*B*a^7*b^4*c*d^10*g^3*i*n/(d*x + c)^3 - 2996*(b*x + a)^4*B*a^6*b^4*c^2*d^10*g^3*i*n/(d*x + c)^4 - 2184*(b*x + a)^5*B*a^5*b^4*c^3*d^10*g^3*i*n/(d*x + c)^5 - 420*(b*x + a)^6*B*a^4*b^4*c^4*d^10*g^3*i*n/(d*x + c)^6 + 107*(b*x + a)^3*B*a^8*b^3*d^11*g^3*i*n/(d*x + c)^3 + 856*(b*x + a)^4*B*a^7*b^3*c*d^11*g^3*i*n/(d*x + c)^4 + 1092*(b*x + a)^5*B*a^6*b^3*c^2*d^11*g^3*i*n/(d*x + c)^5 + 336*(b*x + a)^6*B*a^5*b^3*c^3*d^11*g^3*i*n/(d*x + c)^6 - 107*(b*x + a)^4*B*a^8*b^2*d^12*g^3*i*n/(d*x + c)^4 - 312*(b*x + a)^5*B*a^7*b^2*c*d^12*g^3*i*n/(d*x + c)^5 - 168*(b*x + a)^6*B*a^6*b^2*c^2*d^12*g^3*i*n/(d*x + c)^6 + 39*(b*x + a)^5*B*a^8*b*d^13*g^3*i*n/(d*x + c)^5 + 48*(b*x + a)^6*B*a^7*b*c*d^13*g^3*i*n/(d*x + c)^6 - 6*(b*x + a)^6*B*a^8*d^14*g^3*i*n/(d*x + c)^6 + 6*A*b^14*c^8*g^3*i + 6*B*b^14*c^8*g^3*i - 48*A*a*b^13*c^7*d*g^3*i - 48*B*a*b^13*c^7*d*g^3*i - 42*(b*x + a)*A*b^13*c^8*d*g^3*i/(d*x + c) - 42*(b*x + a)*B*b^13*c^8*d*g^3*i/(d*x + c) + 168*A*a^2*b^12*c^6*d^2*g^3*i + 168*B*a^2*b^12*c^6*d^2*g^3*i + 336*(b*x + a)*A*a*b^12*c^7*d^2*g^3*i/(d*x + c) + 336*(b*x + a)*B*a*b^12*c^7*d^2*g^3*i/(d*x + c) + 126*(b*x + a)^2*A*b^12*c^8*d^2*g^3*i/(d*x + c)^2 + 126*(b*x + a)^2*B*b^12*c^8*d^2*g^3*i/(d*x + c)^2 - 336*A*a^3*b^11*c^5*d^3*g^3*i - 336*B*a^3*b^11*c^5*d^3*g^3*i - 1176*(b*x + a)*A*a^2*b^11*c^6*d^3*g^3*i/(d*x + c) - 1176*(b*x + a)*B*a^2*b^11*c^6*d^3*g^3*i/(d*x + c) - 1008*(b*x + a)^2*A*a*b^11*c^7*d^3*g^3*i/(d*x + c)^2 - 1008*(b*x + a)^2*B*a*b^11*c^7*d^3*g^3*i/(d*x + c)^2 - 210*(b*x + a)^3*A*b^11*c^8*d^3*g^3*i/(d*x + c)^3 - 210*(b*x + a)^3*B*b^11*c^8*d^3*g^3*i/(d*x + c)^3 + 420*A*a^4*b^10*c^4*d^4*g^3*i + 420*B*a^4*b^10*c^4*d^4*g^3*i + 2352*(b*x + a)*A*a^3*b^10*c^5*d^4*g^3*i/(d*x + c) + 2352*(b*x + a)*B*a^3*b^10*c^5*d^4*g^3*i/(d*x + c) + 3528*(b*x + a)^2*A*a^2*b^10*c^6*d^4*g^3*i/(d*x + c)^2 + 3528*(b*x + a)^2*B*a^2*b^10*c^6*d^4*g^3*i/(d*x + c)^2 + 1680*(b*x + a)^3*A*a*b^10*c^7*d^4*g^3*i/(d*x + c)^3 + 1680*(b*x + a)^3*B*a*b^10*c^7*d^4*g^3*i/(d*x + c)^3 - 336*A*a^5*b^9*c^3*d^5*g^3*i - 336*B*a^5*b^9*c^3*d^5*g^3*i - 2940*(b*x + a)*A*a^4*b^9*c^4*d^5*g^3*i/(d*x + c) - 2940*(b*x + a)*B*a^4*b^9*c^4*d^5*g^3*i/(d*x + c) - 7056*(b*x + a)^2*A*a^3*b^9*c^5*d^5*g^3*i/(d*x + c)^2 - 7056*(b*x + a)^2*B*a^3*b^9*c^5*d^5*g^3*i/(d*x + c)^2 - 5880*(b*x + a)^3*A*a^2*b^9*c^6*d^5*g^3*i/(d*x + c)^3 - 5880*(b*x + a)^3*B*a^2*b^9*c^6*d^5*g^3*i/(d*x + c)^3 + 168*A*a^6*b^8*c^2*d^6*g^3*i + 168*B*a^6*b^8*c^2*d^6*g^3*i + 2352*(b*x + a)*A*a^5*b^8*c^3*d^6*g^3*i/(d*x + c) + 2352*(b*x + a)*B*a^5*b^8*c^3*d^6*g^3*i/(d*x + c) + 8820*(b*x + a)^2*A*a^4*b^8*c^4*d^6*g^3*i/(d*x + c)^2 + 8820*(b*x + a)^2*B*a^4*b^8*c^4*d^6*g^3*i/(d*x + c)^2 + 11760*(b*x + a)^3*A*a^3*b^8*c^5*d^6*g^3*i/(d*x + c)^3 + 11760*(b*x + a)^3*B*a^3*b^8*c^5*d^6*g^3*i/(d*x + c)^3 - 48*A*a^7*b^7*c*d^7*g^3*i - 48*B*a^7*b^7*c*d^7*g^3*i - 1176*(b*x + a)*A*a^6*b^7*c^2*d^7*g^3*i/(d*x + c) - 1176*(b*x + a)*B*a^6*b^7*c^2*d^7*g^3*i/(d*x + c) - 7056*(b*x + a)^2*A*a^5*b^7*c^3*d^7*g^3*i/(d*x + c)^2 - 7056*(b*x + a)^2*B*a^5*b^7*c^3*d^7*g^3*i/(d*x + c)^2 - 14700*(b*x + a)^3*A*a^4*b^7*c^4*d^7*g^3*i/(d*x + c)^3 - 14700*(b*x + a)^3*B*a^4*b^7*c^4*d^7*g^3*i/(d*x + c)^3 + 6*A*a^8*b^6*d^8*g^3*i + 6*B*a^8*b^6*d^8*g^3*i + 336*(b*x + a)*A*a^7*b^6*c*d^8*g^3*i/(d*x + c) + 336*(b*x + a)*B*a^7*b^6*c*d^8*g^3*i/(d*x + c) + 3528*(b*x + a)^2*A*a^6*b^6*c^2*d^8*g^3*i/(d*x + c)^2 + 3528*(b*x + a)^2*B*a^6*b^6*c^2*d^8*g^3*i/(d*x + c)^2 + 11760*(b*x + a)^3*A*a^5*b^6*c^3*d^8*g^3*i/(d*x + c)^3 + 11760*(b*x + a)^3*B*a^5*b^6*c^3*d^8*g^3*i/(d*x + c)^3 - 42*(b*x + a)*A*a^8*b^5*d^9*g^3*i/(d*x + c) - 42*(b*x + a)*B*a^8*b^5*d^9*g^3*i/(d*x + c) - 1008*(b*x + a)^2*A*a^7*b^5*c*d^9*g^3*i/(d*x + c)^2 - 1008*(b*x + a)^2*B*a^7*b^5*c*d^9*g^3*i/(d*x + c)^2 - 5880*(b*x + a)^3*A*a^6*b^5*c^2*d^9*g^3*i/(d*x + c)^3 - 5880*(b*x + a)^3*B*a^6*b^5*c^2*d^9*g^3*i/(d*x + c)^3 + 126*(b*x + a)^2*A*a^8*b^4*d^10*g^3*i/(d*x + c)^2 + 126*(b*x + a)^2*B*a^8*b^4*d^10*g^3*i/(d*x + c)^2 + 1680*(b*x + a)^3*A*a^7*b^4*c*d^10*g^3*i/(d*x + c)^3 + 1680*(b*x + a)^3*B*a^7*b^4*c*d^10*g^3*i/(d*x + c)^3 - 210*(b*x + a)^3*A*a^8*b^3*d^11*g^3*i/(d*x + c)^3 - 210*(b*x + a)^3*B*a^8*b^3*d^11*g^3*i/(d*x + c)^3)/(b^10*d^4 - 7*(b*x + a)*b^9*d^5/(d*x + c) + 21*(b*x + a)^2*b^8*d^6/(d*x + c)^2 - 35*(b*x + a)^3*b^7*d^7/(d*x + c)^3 + 35*(b*x + a)^4*b^6*d^8/(d*x + c)^4 - 21*(b*x + a)^5*b^5*d^9/(d*x + c)^5 + 7*(b*x + a)^6*b^4*d^10/(d*x + c)^6 - (b*x + a)^7*b^3*d^11/(d*x + c)^7) + 6*(B*b^8*c^8*g^3*i*n - 8*B*a*b^7*c^7*d*g^3*i*n + 28*B*a^2*b^6*c^6*d^2*g^3*i*n - 56*B*a^3*b^5*c^5*d^3*g^3*i*n + 70*B*a^4*b^4*c^4*d^4*g^3*i*n - 56*B*a^5*b^3*c^3*d^5*g^3*i*n + 28*B*a^6*b^2*c^2*d^6*g^3*i*n - 8*B*a^7*b*c*d^7*g^3*i*n + B*a^8*d^8*g^3*i*n)*log(b - (b*x + a)*d/(d*x + c))/(b^4*d^4) - 6*(B*b^8*c^8*g^3*i*n - 8*B*a*b^7*c^7*d*g^3*i*n + 28*B*a^2*b^6*c^6*d^2*g^3*i*n - 56*B*a^3*b^5*c^5*d^3*g^3*i*n + 70*B*a^4*b^4*c^4*d^4*g^3*i*n - 56*B*a^5*b^3*c^3*d^5*g^3*i*n + 28*B*a^6*b^2*c^2*d^6*g^3*i*n - 8*B*a^7*b*c*d^7*g^3*i*n + B*a^8*d^8*g^3*i*n)*log((b*x + a)/(d*x + c))/(b^4*d^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
128,1,3980,0,10.146900," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","-\frac{1}{360} \, {\left(\frac{6 \, {\left(B b^{9} c^{7} g^{2} i n - 7 \, B a b^{8} c^{6} d g^{2} i n - \frac{6 \, {\left(b x + a\right)} B b^{8} c^{7} d g^{2} i n}{d x + c} + 21 \, B a^{2} b^{7} c^{5} d^{2} g^{2} i n + \frac{42 \, {\left(b x + a\right)} B a b^{7} c^{6} d^{2} g^{2} i n}{d x + c} + \frac{15 \, {\left(b x + a\right)}^{2} B b^{7} c^{7} d^{2} g^{2} i n}{{\left(d x + c\right)}^{2}} - 35 \, B a^{3} b^{6} c^{4} d^{3} g^{2} i n - \frac{126 \, {\left(b x + a\right)} B a^{2} b^{6} c^{5} d^{3} g^{2} i n}{d x + c} - \frac{105 \, {\left(b x + a\right)}^{2} B a b^{6} c^{6} d^{3} g^{2} i n}{{\left(d x + c\right)}^{2}} + 35 \, B a^{4} b^{5} c^{3} d^{4} g^{2} i n + \frac{210 \, {\left(b x + a\right)} B a^{3} b^{5} c^{4} d^{4} g^{2} i n}{d x + c} + \frac{315 \, {\left(b x + a\right)}^{2} B a^{2} b^{5} c^{5} d^{4} g^{2} i n}{{\left(d x + c\right)}^{2}} - 21 \, B a^{5} b^{4} c^{2} d^{5} g^{2} i n - \frac{210 \, {\left(b x + a\right)} B a^{4} b^{4} c^{3} d^{5} g^{2} i n}{d x + c} - \frac{525 \, {\left(b x + a\right)}^{2} B a^{3} b^{4} c^{4} d^{5} g^{2} i n}{{\left(d x + c\right)}^{2}} + 7 \, B a^{6} b^{3} c d^{6} g^{2} i n + \frac{126 \, {\left(b x + a\right)} B a^{5} b^{3} c^{2} d^{6} g^{2} i n}{d x + c} + \frac{525 \, {\left(b x + a\right)}^{2} B a^{4} b^{3} c^{3} d^{6} g^{2} i n}{{\left(d x + c\right)}^{2}} - B a^{7} b^{2} d^{7} g^{2} i n - \frac{42 \, {\left(b x + a\right)} B a^{6} b^{2} c d^{7} g^{2} i n}{d x + c} - \frac{315 \, {\left(b x + a\right)}^{2} B a^{5} b^{2} c^{2} d^{7} g^{2} i n}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)} B a^{7} b d^{8} g^{2} i n}{d x + c} + \frac{105 \, {\left(b x + a\right)}^{2} B a^{6} b c d^{8} g^{2} i n}{{\left(d x + c\right)}^{2}} - \frac{15 \, {\left(b x + a\right)}^{2} B a^{7} d^{9} g^{2} i n}{{\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{6} d^{3} - \frac{6 \, {\left(b x + a\right)} b^{5} d^{4}}{d x + c} + \frac{15 \, {\left(b x + a\right)}^{2} b^{4} d^{5}}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x + a\right)}^{3} b^{3} d^{6}}{{\left(d x + c\right)}^{3}} + \frac{15 \, {\left(b x + a\right)}^{4} b^{2} d^{7}}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x + a\right)}^{5} b d^{8}}{{\left(d x + c\right)}^{5}} + \frac{{\left(b x + a\right)}^{6} d^{9}}{{\left(d x + c\right)}^{6}}} - \frac{2 \, B b^{12} c^{7} g^{2} i n - 14 \, B a b^{11} c^{6} d g^{2} i n - \frac{18 \, {\left(b x + a\right)} B b^{11} c^{7} d g^{2} i n}{d x + c} + 42 \, B a^{2} b^{10} c^{5} d^{2} g^{2} i n + \frac{126 \, {\left(b x + a\right)} B a b^{10} c^{6} d^{2} g^{2} i n}{d x + c} + \frac{63 \, {\left(b x + a\right)}^{2} B b^{10} c^{7} d^{2} g^{2} i n}{{\left(d x + c\right)}^{2}} - 70 \, B a^{3} b^{9} c^{4} d^{3} g^{2} i n - \frac{378 \, {\left(b x + a\right)} B a^{2} b^{9} c^{5} d^{3} g^{2} i n}{d x + c} - \frac{441 \, {\left(b x + a\right)}^{2} B a b^{9} c^{6} d^{3} g^{2} i n}{{\left(d x + c\right)}^{2}} - \frac{74 \, {\left(b x + a\right)}^{3} B b^{9} c^{7} d^{3} g^{2} i n}{{\left(d x + c\right)}^{3}} + 70 \, B a^{4} b^{8} c^{3} d^{4} g^{2} i n + \frac{630 \, {\left(b x + a\right)} B a^{3} b^{8} c^{4} d^{4} g^{2} i n}{d x + c} + \frac{1323 \, {\left(b x + a\right)}^{2} B a^{2} b^{8} c^{5} d^{4} g^{2} i n}{{\left(d x + c\right)}^{2}} + \frac{518 \, {\left(b x + a\right)}^{3} B a b^{8} c^{6} d^{4} g^{2} i n}{{\left(d x + c\right)}^{3}} + \frac{33 \, {\left(b x + a\right)}^{4} B b^{8} c^{7} d^{4} g^{2} i n}{{\left(d x + c\right)}^{4}} - 42 \, B a^{5} b^{7} c^{2} d^{5} g^{2} i n - \frac{630 \, {\left(b x + a\right)} B a^{4} b^{7} c^{3} d^{5} g^{2} i n}{d x + c} - \frac{2205 \, {\left(b x + a\right)}^{2} B a^{3} b^{7} c^{4} d^{5} g^{2} i n}{{\left(d x + c\right)}^{2}} - \frac{1554 \, {\left(b x + a\right)}^{3} B a^{2} b^{7} c^{5} d^{5} g^{2} i n}{{\left(d x + c\right)}^{3}} - \frac{231 \, {\left(b x + a\right)}^{4} B a b^{7} c^{6} d^{5} g^{2} i n}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x + a\right)}^{5} B b^{7} c^{7} d^{5} g^{2} i n}{{\left(d x + c\right)}^{5}} + 14 \, B a^{6} b^{6} c d^{6} g^{2} i n + \frac{378 \, {\left(b x + a\right)} B a^{5} b^{6} c^{2} d^{6} g^{2} i n}{d x + c} + \frac{2205 \, {\left(b x + a\right)}^{2} B a^{4} b^{6} c^{3} d^{6} g^{2} i n}{{\left(d x + c\right)}^{2}} + \frac{2590 \, {\left(b x + a\right)}^{3} B a^{3} b^{6} c^{4} d^{6} g^{2} i n}{{\left(d x + c\right)}^{3}} + \frac{693 \, {\left(b x + a\right)}^{4} B a^{2} b^{6} c^{5} d^{6} g^{2} i n}{{\left(d x + c\right)}^{4}} + \frac{42 \, {\left(b x + a\right)}^{5} B a b^{6} c^{6} d^{6} g^{2} i n}{{\left(d x + c\right)}^{5}} - 2 \, B a^{7} b^{5} d^{7} g^{2} i n - \frac{126 \, {\left(b x + a\right)} B a^{6} b^{5} c d^{7} g^{2} i n}{d x + c} - \frac{1323 \, {\left(b x + a\right)}^{2} B a^{5} b^{5} c^{2} d^{7} g^{2} i n}{{\left(d x + c\right)}^{2}} - \frac{2590 \, {\left(b x + a\right)}^{3} B a^{4} b^{5} c^{3} d^{7} g^{2} i n}{{\left(d x + c\right)}^{3}} - \frac{1155 \, {\left(b x + a\right)}^{4} B a^{3} b^{5} c^{4} d^{7} g^{2} i n}{{\left(d x + c\right)}^{4}} - \frac{126 \, {\left(b x + a\right)}^{5} B a^{2} b^{5} c^{5} d^{7} g^{2} i n}{{\left(d x + c\right)}^{5}} + \frac{18 \, {\left(b x + a\right)} B a^{7} b^{4} d^{8} g^{2} i n}{d x + c} + \frac{441 \, {\left(b x + a\right)}^{2} B a^{6} b^{4} c d^{8} g^{2} i n}{{\left(d x + c\right)}^{2}} + \frac{1554 \, {\left(b x + a\right)}^{3} B a^{5} b^{4} c^{2} d^{8} g^{2} i n}{{\left(d x + c\right)}^{3}} + \frac{1155 \, {\left(b x + a\right)}^{4} B a^{4} b^{4} c^{3} d^{8} g^{2} i n}{{\left(d x + c\right)}^{4}} + \frac{210 \, {\left(b x + a\right)}^{5} B a^{3} b^{4} c^{4} d^{8} g^{2} i n}{{\left(d x + c\right)}^{5}} - \frac{63 \, {\left(b x + a\right)}^{2} B a^{7} b^{3} d^{9} g^{2} i n}{{\left(d x + c\right)}^{2}} - \frac{518 \, {\left(b x + a\right)}^{3} B a^{6} b^{3} c d^{9} g^{2} i n}{{\left(d x + c\right)}^{3}} - \frac{693 \, {\left(b x + a\right)}^{4} B a^{5} b^{3} c^{2} d^{9} g^{2} i n}{{\left(d x + c\right)}^{4}} - \frac{210 \, {\left(b x + a\right)}^{5} B a^{4} b^{3} c^{3} d^{9} g^{2} i n}{{\left(d x + c\right)}^{5}} + \frac{74 \, {\left(b x + a\right)}^{3} B a^{7} b^{2} d^{10} g^{2} i n}{{\left(d x + c\right)}^{3}} + \frac{231 \, {\left(b x + a\right)}^{4} B a^{6} b^{2} c d^{10} g^{2} i n}{{\left(d x + c\right)}^{4}} + \frac{126 \, {\left(b x + a\right)}^{5} B a^{5} b^{2} c^{2} d^{10} g^{2} i n}{{\left(d x + c\right)}^{5}} - \frac{33 \, {\left(b x + a\right)}^{4} B a^{7} b d^{11} g^{2} i n}{{\left(d x + c\right)}^{4}} - \frac{42 \, {\left(b x + a\right)}^{5} B a^{6} b c d^{11} g^{2} i n}{{\left(d x + c\right)}^{5}} + \frac{6 \, {\left(b x + a\right)}^{5} B a^{7} d^{12} g^{2} i n}{{\left(d x + c\right)}^{5}} - 6 \, A b^{12} c^{7} g^{2} i - 6 \, B b^{12} c^{7} g^{2} i + 42 \, A a b^{11} c^{6} d g^{2} i + 42 \, B a b^{11} c^{6} d g^{2} i + \frac{36 \, {\left(b x + a\right)} A b^{11} c^{7} d g^{2} i}{d x + c} + \frac{36 \, {\left(b x + a\right)} B b^{11} c^{7} d g^{2} i}{d x + c} - 126 \, A a^{2} b^{10} c^{5} d^{2} g^{2} i - 126 \, B a^{2} b^{10} c^{5} d^{2} g^{2} i - \frac{252 \, {\left(b x + a\right)} A a b^{10} c^{6} d^{2} g^{2} i}{d x + c} - \frac{252 \, {\left(b x + a\right)} B a b^{10} c^{6} d^{2} g^{2} i}{d x + c} - \frac{90 \, {\left(b x + a\right)}^{2} A b^{10} c^{7} d^{2} g^{2} i}{{\left(d x + c\right)}^{2}} - \frac{90 \, {\left(b x + a\right)}^{2} B b^{10} c^{7} d^{2} g^{2} i}{{\left(d x + c\right)}^{2}} + 210 \, A a^{3} b^{9} c^{4} d^{3} g^{2} i + 210 \, B a^{3} b^{9} c^{4} d^{3} g^{2} i + \frac{756 \, {\left(b x + a\right)} A a^{2} b^{9} c^{5} d^{3} g^{2} i}{d x + c} + \frac{756 \, {\left(b x + a\right)} B a^{2} b^{9} c^{5} d^{3} g^{2} i}{d x + c} + \frac{630 \, {\left(b x + a\right)}^{2} A a b^{9} c^{6} d^{3} g^{2} i}{{\left(d x + c\right)}^{2}} + \frac{630 \, {\left(b x + a\right)}^{2} B a b^{9} c^{6} d^{3} g^{2} i}{{\left(d x + c\right)}^{2}} - 210 \, A a^{4} b^{8} c^{3} d^{4} g^{2} i - 210 \, B a^{4} b^{8} c^{3} d^{4} g^{2} i - \frac{1260 \, {\left(b x + a\right)} A a^{3} b^{8} c^{4} d^{4} g^{2} i}{d x + c} - \frac{1260 \, {\left(b x + a\right)} B a^{3} b^{8} c^{4} d^{4} g^{2} i}{d x + c} - \frac{1890 \, {\left(b x + a\right)}^{2} A a^{2} b^{8} c^{5} d^{4} g^{2} i}{{\left(d x + c\right)}^{2}} - \frac{1890 \, {\left(b x + a\right)}^{2} B a^{2} b^{8} c^{5} d^{4} g^{2} i}{{\left(d x + c\right)}^{2}} + 126 \, A a^{5} b^{7} c^{2} d^{5} g^{2} i + 126 \, B a^{5} b^{7} c^{2} d^{5} g^{2} i + \frac{1260 \, {\left(b x + a\right)} A a^{4} b^{7} c^{3} d^{5} g^{2} i}{d x + c} + \frac{1260 \, {\left(b x + a\right)} B a^{4} b^{7} c^{3} d^{5} g^{2} i}{d x + c} + \frac{3150 \, {\left(b x + a\right)}^{2} A a^{3} b^{7} c^{4} d^{5} g^{2} i}{{\left(d x + c\right)}^{2}} + \frac{3150 \, {\left(b x + a\right)}^{2} B a^{3} b^{7} c^{4} d^{5} g^{2} i}{{\left(d x + c\right)}^{2}} - 42 \, A a^{6} b^{6} c d^{6} g^{2} i - 42 \, B a^{6} b^{6} c d^{6} g^{2} i - \frac{756 \, {\left(b x + a\right)} A a^{5} b^{6} c^{2} d^{6} g^{2} i}{d x + c} - \frac{756 \, {\left(b x + a\right)} B a^{5} b^{6} c^{2} d^{6} g^{2} i}{d x + c} - \frac{3150 \, {\left(b x + a\right)}^{2} A a^{4} b^{6} c^{3} d^{6} g^{2} i}{{\left(d x + c\right)}^{2}} - \frac{3150 \, {\left(b x + a\right)}^{2} B a^{4} b^{6} c^{3} d^{6} g^{2} i}{{\left(d x + c\right)}^{2}} + 6 \, A a^{7} b^{5} d^{7} g^{2} i + 6 \, B a^{7} b^{5} d^{7} g^{2} i + \frac{252 \, {\left(b x + a\right)} A a^{6} b^{5} c d^{7} g^{2} i}{d x + c} + \frac{252 \, {\left(b x + a\right)} B a^{6} b^{5} c d^{7} g^{2} i}{d x + c} + \frac{1890 \, {\left(b x + a\right)}^{2} A a^{5} b^{5} c^{2} d^{7} g^{2} i}{{\left(d x + c\right)}^{2}} + \frac{1890 \, {\left(b x + a\right)}^{2} B a^{5} b^{5} c^{2} d^{7} g^{2} i}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x + a\right)} A a^{7} b^{4} d^{8} g^{2} i}{d x + c} - \frac{36 \, {\left(b x + a\right)} B a^{7} b^{4} d^{8} g^{2} i}{d x + c} - \frac{630 \, {\left(b x + a\right)}^{2} A a^{6} b^{4} c d^{8} g^{2} i}{{\left(d x + c\right)}^{2}} - \frac{630 \, {\left(b x + a\right)}^{2} B a^{6} b^{4} c d^{8} g^{2} i}{{\left(d x + c\right)}^{2}} + \frac{90 \, {\left(b x + a\right)}^{2} A a^{7} b^{3} d^{9} g^{2} i}{{\left(d x + c\right)}^{2}} + \frac{90 \, {\left(b x + a\right)}^{2} B a^{7} b^{3} d^{9} g^{2} i}{{\left(d x + c\right)}^{2}}}{b^{9} d^{3} - \frac{6 \, {\left(b x + a\right)} b^{8} d^{4}}{d x + c} + \frac{15 \, {\left(b x + a\right)}^{2} b^{7} d^{5}}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x + a\right)}^{3} b^{6} d^{6}}{{\left(d x + c\right)}^{3}} + \frac{15 \, {\left(b x + a\right)}^{4} b^{5} d^{7}}{{\left(d x + c\right)}^{4}} - \frac{6 \, {\left(b x + a\right)}^{5} b^{4} d^{8}}{{\left(d x + c\right)}^{5}} + \frac{{\left(b x + a\right)}^{6} b^{3} d^{9}}{{\left(d x + c\right)}^{6}}} + \frac{6 \, {\left(B b^{7} c^{7} g^{2} i n - 7 \, B a b^{6} c^{6} d g^{2} i n + 21 \, B a^{2} b^{5} c^{5} d^{2} g^{2} i n - 35 \, B a^{3} b^{4} c^{4} d^{3} g^{2} i n + 35 \, B a^{4} b^{3} c^{3} d^{4} g^{2} i n - 21 \, B a^{5} b^{2} c^{2} d^{5} g^{2} i n + 7 \, B a^{6} b c d^{6} g^{2} i n - B a^{7} d^{7} g^{2} i n\right)} \log\left(-b + \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{4} d^{3}} - \frac{6 \, {\left(B b^{7} c^{7} g^{2} i n - 7 \, B a b^{6} c^{6} d g^{2} i n + 21 \, B a^{2} b^{5} c^{5} d^{2} g^{2} i n - 35 \, B a^{3} b^{4} c^{4} d^{3} g^{2} i n + 35 \, B a^{4} b^{3} c^{3} d^{4} g^{2} i n - 21 \, B a^{5} b^{2} c^{2} d^{5} g^{2} i n + 7 \, B a^{6} b c d^{6} g^{2} i n - B a^{7} d^{7} g^{2} i n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{4} d^{3}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/360*(6*(B*b^9*c^7*g^2*i*n - 7*B*a*b^8*c^6*d*g^2*i*n - 6*(b*x + a)*B*b^8*c^7*d*g^2*i*n/(d*x + c) + 21*B*a^2*b^7*c^5*d^2*g^2*i*n + 42*(b*x + a)*B*a*b^7*c^6*d^2*g^2*i*n/(d*x + c) + 15*(b*x + a)^2*B*b^7*c^7*d^2*g^2*i*n/(d*x + c)^2 - 35*B*a^3*b^6*c^4*d^3*g^2*i*n - 126*(b*x + a)*B*a^2*b^6*c^5*d^3*g^2*i*n/(d*x + c) - 105*(b*x + a)^2*B*a*b^6*c^6*d^3*g^2*i*n/(d*x + c)^2 + 35*B*a^4*b^5*c^3*d^4*g^2*i*n + 210*(b*x + a)*B*a^3*b^5*c^4*d^4*g^2*i*n/(d*x + c) + 315*(b*x + a)^2*B*a^2*b^5*c^5*d^4*g^2*i*n/(d*x + c)^2 - 21*B*a^5*b^4*c^2*d^5*g^2*i*n - 210*(b*x + a)*B*a^4*b^4*c^3*d^5*g^2*i*n/(d*x + c) - 525*(b*x + a)^2*B*a^3*b^4*c^4*d^5*g^2*i*n/(d*x + c)^2 + 7*B*a^6*b^3*c*d^6*g^2*i*n + 126*(b*x + a)*B*a^5*b^3*c^2*d^6*g^2*i*n/(d*x + c) + 525*(b*x + a)^2*B*a^4*b^3*c^3*d^6*g^2*i*n/(d*x + c)^2 - B*a^7*b^2*d^7*g^2*i*n - 42*(b*x + a)*B*a^6*b^2*c*d^7*g^2*i*n/(d*x + c) - 315*(b*x + a)^2*B*a^5*b^2*c^2*d^7*g^2*i*n/(d*x + c)^2 + 6*(b*x + a)*B*a^7*b*d^8*g^2*i*n/(d*x + c) + 105*(b*x + a)^2*B*a^6*b*c*d^8*g^2*i*n/(d*x + c)^2 - 15*(b*x + a)^2*B*a^7*d^9*g^2*i*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/(b^6*d^3 - 6*(b*x + a)*b^5*d^4/(d*x + c) + 15*(b*x + a)^2*b^4*d^5/(d*x + c)^2 - 20*(b*x + a)^3*b^3*d^6/(d*x + c)^3 + 15*(b*x + a)^4*b^2*d^7/(d*x + c)^4 - 6*(b*x + a)^5*b*d^8/(d*x + c)^5 + (b*x + a)^6*d^9/(d*x + c)^6) - (2*B*b^12*c^7*g^2*i*n - 14*B*a*b^11*c^6*d*g^2*i*n - 18*(b*x + a)*B*b^11*c^7*d*g^2*i*n/(d*x + c) + 42*B*a^2*b^10*c^5*d^2*g^2*i*n + 126*(b*x + a)*B*a*b^10*c^6*d^2*g^2*i*n/(d*x + c) + 63*(b*x + a)^2*B*b^10*c^7*d^2*g^2*i*n/(d*x + c)^2 - 70*B*a^3*b^9*c^4*d^3*g^2*i*n - 378*(b*x + a)*B*a^2*b^9*c^5*d^3*g^2*i*n/(d*x + c) - 441*(b*x + a)^2*B*a*b^9*c^6*d^3*g^2*i*n/(d*x + c)^2 - 74*(b*x + a)^3*B*b^9*c^7*d^3*g^2*i*n/(d*x + c)^3 + 70*B*a^4*b^8*c^3*d^4*g^2*i*n + 630*(b*x + a)*B*a^3*b^8*c^4*d^4*g^2*i*n/(d*x + c) + 1323*(b*x + a)^2*B*a^2*b^8*c^5*d^4*g^2*i*n/(d*x + c)^2 + 518*(b*x + a)^3*B*a*b^8*c^6*d^4*g^2*i*n/(d*x + c)^3 + 33*(b*x + a)^4*B*b^8*c^7*d^4*g^2*i*n/(d*x + c)^4 - 42*B*a^5*b^7*c^2*d^5*g^2*i*n - 630*(b*x + a)*B*a^4*b^7*c^3*d^5*g^2*i*n/(d*x + c) - 2205*(b*x + a)^2*B*a^3*b^7*c^4*d^5*g^2*i*n/(d*x + c)^2 - 1554*(b*x + a)^3*B*a^2*b^7*c^5*d^5*g^2*i*n/(d*x + c)^3 - 231*(b*x + a)^4*B*a*b^7*c^6*d^5*g^2*i*n/(d*x + c)^4 - 6*(b*x + a)^5*B*b^7*c^7*d^5*g^2*i*n/(d*x + c)^5 + 14*B*a^6*b^6*c*d^6*g^2*i*n + 378*(b*x + a)*B*a^5*b^6*c^2*d^6*g^2*i*n/(d*x + c) + 2205*(b*x + a)^2*B*a^4*b^6*c^3*d^6*g^2*i*n/(d*x + c)^2 + 2590*(b*x + a)^3*B*a^3*b^6*c^4*d^6*g^2*i*n/(d*x + c)^3 + 693*(b*x + a)^4*B*a^2*b^6*c^5*d^6*g^2*i*n/(d*x + c)^4 + 42*(b*x + a)^5*B*a*b^6*c^6*d^6*g^2*i*n/(d*x + c)^5 - 2*B*a^7*b^5*d^7*g^2*i*n - 126*(b*x + a)*B*a^6*b^5*c*d^7*g^2*i*n/(d*x + c) - 1323*(b*x + a)^2*B*a^5*b^5*c^2*d^7*g^2*i*n/(d*x + c)^2 - 2590*(b*x + a)^3*B*a^4*b^5*c^3*d^7*g^2*i*n/(d*x + c)^3 - 1155*(b*x + a)^4*B*a^3*b^5*c^4*d^7*g^2*i*n/(d*x + c)^4 - 126*(b*x + a)^5*B*a^2*b^5*c^5*d^7*g^2*i*n/(d*x + c)^5 + 18*(b*x + a)*B*a^7*b^4*d^8*g^2*i*n/(d*x + c) + 441*(b*x + a)^2*B*a^6*b^4*c*d^8*g^2*i*n/(d*x + c)^2 + 1554*(b*x + a)^3*B*a^5*b^4*c^2*d^8*g^2*i*n/(d*x + c)^3 + 1155*(b*x + a)^4*B*a^4*b^4*c^3*d^8*g^2*i*n/(d*x + c)^4 + 210*(b*x + a)^5*B*a^3*b^4*c^4*d^8*g^2*i*n/(d*x + c)^5 - 63*(b*x + a)^2*B*a^7*b^3*d^9*g^2*i*n/(d*x + c)^2 - 518*(b*x + a)^3*B*a^6*b^3*c*d^9*g^2*i*n/(d*x + c)^3 - 693*(b*x + a)^4*B*a^5*b^3*c^2*d^9*g^2*i*n/(d*x + c)^4 - 210*(b*x + a)^5*B*a^4*b^3*c^3*d^9*g^2*i*n/(d*x + c)^5 + 74*(b*x + a)^3*B*a^7*b^2*d^10*g^2*i*n/(d*x + c)^3 + 231*(b*x + a)^4*B*a^6*b^2*c*d^10*g^2*i*n/(d*x + c)^4 + 126*(b*x + a)^5*B*a^5*b^2*c^2*d^10*g^2*i*n/(d*x + c)^5 - 33*(b*x + a)^4*B*a^7*b*d^11*g^2*i*n/(d*x + c)^4 - 42*(b*x + a)^5*B*a^6*b*c*d^11*g^2*i*n/(d*x + c)^5 + 6*(b*x + a)^5*B*a^7*d^12*g^2*i*n/(d*x + c)^5 - 6*A*b^12*c^7*g^2*i - 6*B*b^12*c^7*g^2*i + 42*A*a*b^11*c^6*d*g^2*i + 42*B*a*b^11*c^6*d*g^2*i + 36*(b*x + a)*A*b^11*c^7*d*g^2*i/(d*x + c) + 36*(b*x + a)*B*b^11*c^7*d*g^2*i/(d*x + c) - 126*A*a^2*b^10*c^5*d^2*g^2*i - 126*B*a^2*b^10*c^5*d^2*g^2*i - 252*(b*x + a)*A*a*b^10*c^6*d^2*g^2*i/(d*x + c) - 252*(b*x + a)*B*a*b^10*c^6*d^2*g^2*i/(d*x + c) - 90*(b*x + a)^2*A*b^10*c^7*d^2*g^2*i/(d*x + c)^2 - 90*(b*x + a)^2*B*b^10*c^7*d^2*g^2*i/(d*x + c)^2 + 210*A*a^3*b^9*c^4*d^3*g^2*i + 210*B*a^3*b^9*c^4*d^3*g^2*i + 756*(b*x + a)*A*a^2*b^9*c^5*d^3*g^2*i/(d*x + c) + 756*(b*x + a)*B*a^2*b^9*c^5*d^3*g^2*i/(d*x + c) + 630*(b*x + a)^2*A*a*b^9*c^6*d^3*g^2*i/(d*x + c)^2 + 630*(b*x + a)^2*B*a*b^9*c^6*d^3*g^2*i/(d*x + c)^2 - 210*A*a^4*b^8*c^3*d^4*g^2*i - 210*B*a^4*b^8*c^3*d^4*g^2*i - 1260*(b*x + a)*A*a^3*b^8*c^4*d^4*g^2*i/(d*x + c) - 1260*(b*x + a)*B*a^3*b^8*c^4*d^4*g^2*i/(d*x + c) - 1890*(b*x + a)^2*A*a^2*b^8*c^5*d^4*g^2*i/(d*x + c)^2 - 1890*(b*x + a)^2*B*a^2*b^8*c^5*d^4*g^2*i/(d*x + c)^2 + 126*A*a^5*b^7*c^2*d^5*g^2*i + 126*B*a^5*b^7*c^2*d^5*g^2*i + 1260*(b*x + a)*A*a^4*b^7*c^3*d^5*g^2*i/(d*x + c) + 1260*(b*x + a)*B*a^4*b^7*c^3*d^5*g^2*i/(d*x + c) + 3150*(b*x + a)^2*A*a^3*b^7*c^4*d^5*g^2*i/(d*x + c)^2 + 3150*(b*x + a)^2*B*a^3*b^7*c^4*d^5*g^2*i/(d*x + c)^2 - 42*A*a^6*b^6*c*d^6*g^2*i - 42*B*a^6*b^6*c*d^6*g^2*i - 756*(b*x + a)*A*a^5*b^6*c^2*d^6*g^2*i/(d*x + c) - 756*(b*x + a)*B*a^5*b^6*c^2*d^6*g^2*i/(d*x + c) - 3150*(b*x + a)^2*A*a^4*b^6*c^3*d^6*g^2*i/(d*x + c)^2 - 3150*(b*x + a)^2*B*a^4*b^6*c^3*d^6*g^2*i/(d*x + c)^2 + 6*A*a^7*b^5*d^7*g^2*i + 6*B*a^7*b^5*d^7*g^2*i + 252*(b*x + a)*A*a^6*b^5*c*d^7*g^2*i/(d*x + c) + 252*(b*x + a)*B*a^6*b^5*c*d^7*g^2*i/(d*x + c) + 1890*(b*x + a)^2*A*a^5*b^5*c^2*d^7*g^2*i/(d*x + c)^2 + 1890*(b*x + a)^2*B*a^5*b^5*c^2*d^7*g^2*i/(d*x + c)^2 - 36*(b*x + a)*A*a^7*b^4*d^8*g^2*i/(d*x + c) - 36*(b*x + a)*B*a^7*b^4*d^8*g^2*i/(d*x + c) - 630*(b*x + a)^2*A*a^6*b^4*c*d^8*g^2*i/(d*x + c)^2 - 630*(b*x + a)^2*B*a^6*b^4*c*d^8*g^2*i/(d*x + c)^2 + 90*(b*x + a)^2*A*a^7*b^3*d^9*g^2*i/(d*x + c)^2 + 90*(b*x + a)^2*B*a^7*b^3*d^9*g^2*i/(d*x + c)^2)/(b^9*d^3 - 6*(b*x + a)*b^8*d^4/(d*x + c) + 15*(b*x + a)^2*b^7*d^5/(d*x + c)^2 - 20*(b*x + a)^3*b^6*d^6/(d*x + c)^3 + 15*(b*x + a)^4*b^5*d^7/(d*x + c)^4 - 6*(b*x + a)^5*b^4*d^8/(d*x + c)^5 + (b*x + a)^6*b^3*d^9/(d*x + c)^6) + 6*(B*b^7*c^7*g^2*i*n - 7*B*a*b^6*c^6*d*g^2*i*n + 21*B*a^2*b^5*c^5*d^2*g^2*i*n - 35*B*a^3*b^4*c^4*d^3*g^2*i*n + 35*B*a^4*b^3*c^3*d^4*g^2*i*n - 21*B*a^5*b^2*c^2*d^5*g^2*i*n + 7*B*a^6*b*c*d^6*g^2*i*n - B*a^7*d^7*g^2*i*n)*log(-b + (b*x + a)*d/(d*x + c))/(b^4*d^3) - 6*(B*b^7*c^7*g^2*i*n - 7*B*a*b^6*c^6*d*g^2*i*n + 21*B*a^2*b^5*c^5*d^2*g^2*i*n - 35*B*a^3*b^4*c^4*d^3*g^2*i*n + 35*B*a^4*b^3*c^3*d^4*g^2*i*n - 21*B*a^5*b^2*c^2*d^5*g^2*i*n + 7*B*a^6*b*c*d^6*g^2*i*n - B*a^7*d^7*g^2*i*n)*log((b*x + a)/(d*x + c))/(b^4*d^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
129,1,2374,0,5.671238," ","integrate((b*g*x+a*g)*(d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{120} \, {\left(\frac{6 \, {\left(B b^{7} c^{6} g i n - 6 \, B a b^{6} c^{5} d g i n - \frac{5 \, {\left(b x + a\right)} B b^{6} c^{6} d g i n}{d x + c} + 15 \, B a^{2} b^{5} c^{4} d^{2} g i n + \frac{30 \, {\left(b x + a\right)} B a b^{5} c^{5} d^{2} g i n}{d x + c} - 20 \, B a^{3} b^{4} c^{3} d^{3} g i n - \frac{75 \, {\left(b x + a\right)} B a^{2} b^{4} c^{4} d^{3} g i n}{d x + c} + 15 \, B a^{4} b^{3} c^{2} d^{4} g i n + \frac{100 \, {\left(b x + a\right)} B a^{3} b^{3} c^{3} d^{4} g i n}{d x + c} - 6 \, B a^{5} b^{2} c d^{5} g i n - \frac{75 \, {\left(b x + a\right)} B a^{4} b^{2} c^{2} d^{5} g i n}{d x + c} + B a^{6} b d^{6} g i n + \frac{30 \, {\left(b x + a\right)} B a^{5} b c d^{6} g i n}{d x + c} - \frac{5 \, {\left(b x + a\right)} B a^{6} d^{7} g i n}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{5} d^{2} - \frac{5 \, {\left(b x + a\right)} b^{4} d^{3}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{3} d^{4}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{2} d^{5}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b d^{6}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} d^{7}}{{\left(d x + c\right)}^{5}}} - \frac{5 \, B b^{10} c^{6} g i n - 30 \, B a b^{9} c^{5} d g i n - \frac{31 \, {\left(b x + a\right)} B b^{9} c^{6} d g i n}{d x + c} + 75 \, B a^{2} b^{8} c^{4} d^{2} g i n + \frac{186 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g i n}{d x + c} + \frac{47 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g i n}{{\left(d x + c\right)}^{2}} - 100 \, B a^{3} b^{7} c^{3} d^{3} g i n - \frac{465 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g i n}{d x + c} - \frac{282 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g i n}{{\left(d x + c\right)}^{2}} - \frac{27 \, {\left(b x + a\right)}^{3} B b^{7} c^{6} d^{3} g i n}{{\left(d x + c\right)}^{3}} + 75 \, B a^{4} b^{6} c^{2} d^{4} g i n + \frac{620 \, {\left(b x + a\right)} B a^{3} b^{6} c^{3} d^{4} g i n}{d x + c} + \frac{705 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{4} d^{4} g i n}{{\left(d x + c\right)}^{2}} + \frac{162 \, {\left(b x + a\right)}^{3} B a b^{6} c^{5} d^{4} g i n}{{\left(d x + c\right)}^{3}} + \frac{6 \, {\left(b x + a\right)}^{4} B b^{6} c^{6} d^{4} g i n}{{\left(d x + c\right)}^{4}} - 30 \, B a^{5} b^{5} c d^{5} g i n - \frac{465 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g i n}{d x + c} - \frac{940 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g i n}{{\left(d x + c\right)}^{2}} - \frac{405 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{4} d^{5} g i n}{{\left(d x + c\right)}^{3}} - \frac{36 \, {\left(b x + a\right)}^{4} B a b^{5} c^{5} d^{5} g i n}{{\left(d x + c\right)}^{4}} + 5 \, B a^{6} b^{4} d^{6} g i n + \frac{186 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g i n}{d x + c} + \frac{705 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g i n}{{\left(d x + c\right)}^{2}} + \frac{540 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{3} d^{6} g i n}{{\left(d x + c\right)}^{3}} + \frac{90 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{4} d^{6} g i n}{{\left(d x + c\right)}^{4}} - \frac{31 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g i n}{d x + c} - \frac{282 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c d^{7} g i n}{{\left(d x + c\right)}^{2}} - \frac{405 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} c^{2} d^{7} g i n}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x + a\right)}^{4} B a^{3} b^{3} c^{3} d^{7} g i n}{{\left(d x + c\right)}^{4}} + \frac{47 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} d^{8} g i n}{{\left(d x + c\right)}^{2}} + \frac{162 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} c d^{8} g i n}{{\left(d x + c\right)}^{3}} + \frac{90 \, {\left(b x + a\right)}^{4} B a^{4} b^{2} c^{2} d^{8} g i n}{{\left(d x + c\right)}^{4}} - \frac{27 \, {\left(b x + a\right)}^{3} B a^{6} b d^{9} g i n}{{\left(d x + c\right)}^{3}} - \frac{36 \, {\left(b x + a\right)}^{4} B a^{5} b c d^{9} g i n}{{\left(d x + c\right)}^{4}} + \frac{6 \, {\left(b x + a\right)}^{4} B a^{6} d^{10} g i n}{{\left(d x + c\right)}^{4}} - 6 \, A b^{10} c^{6} g i - 6 \, B b^{10} c^{6} g i + 36 \, A a b^{9} c^{5} d g i + 36 \, B a b^{9} c^{5} d g i + \frac{30 \, {\left(b x + a\right)} A b^{9} c^{6} d g i}{d x + c} + \frac{30 \, {\left(b x + a\right)} B b^{9} c^{6} d g i}{d x + c} - 90 \, A a^{2} b^{8} c^{4} d^{2} g i - 90 \, B a^{2} b^{8} c^{4} d^{2} g i - \frac{180 \, {\left(b x + a\right)} A a b^{8} c^{5} d^{2} g i}{d x + c} - \frac{180 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g i}{d x + c} + 120 \, A a^{3} b^{7} c^{3} d^{3} g i + 120 \, B a^{3} b^{7} c^{3} d^{3} g i + \frac{450 \, {\left(b x + a\right)} A a^{2} b^{7} c^{4} d^{3} g i}{d x + c} + \frac{450 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g i}{d x + c} - 90 \, A a^{4} b^{6} c^{2} d^{4} g i - 90 \, B a^{4} b^{6} c^{2} d^{4} g i - \frac{600 \, {\left(b x + a\right)} A a^{3} b^{6} c^{3} d^{4} g i}{d x + c} - \frac{600 \, {\left(b x + a\right)} B a^{3} b^{6} c^{3} d^{4} g i}{d x + c} + 36 \, A a^{5} b^{5} c d^{5} g i + 36 \, B a^{5} b^{5} c d^{5} g i + \frac{450 \, {\left(b x + a\right)} A a^{4} b^{5} c^{2} d^{5} g i}{d x + c} + \frac{450 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g i}{d x + c} - 6 \, A a^{6} b^{4} d^{6} g i - 6 \, B a^{6} b^{4} d^{6} g i - \frac{180 \, {\left(b x + a\right)} A a^{5} b^{4} c d^{6} g i}{d x + c} - \frac{180 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g i}{d x + c} + \frac{30 \, {\left(b x + a\right)} A a^{6} b^{3} d^{7} g i}{d x + c} + \frac{30 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g i}{d x + c}}{b^{8} d^{2} - \frac{5 \, {\left(b x + a\right)} b^{7} d^{3}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{6} d^{4}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{5} d^{5}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b^{4} d^{6}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} b^{3} d^{7}}{{\left(d x + c\right)}^{5}}} + \frac{6 \, {\left(B b^{6} c^{6} g i n - 6 \, B a b^{5} c^{5} d g i n + 15 \, B a^{2} b^{4} c^{4} d^{2} g i n - 20 \, B a^{3} b^{3} c^{3} d^{3} g i n + 15 \, B a^{4} b^{2} c^{2} d^{4} g i n - 6 \, B a^{5} b c d^{5} g i n + B a^{6} d^{6} g i n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{4} d^{2}} - \frac{6 \, {\left(B b^{6} c^{6} g i n - 6 \, B a b^{5} c^{5} d g i n + 15 \, B a^{2} b^{4} c^{4} d^{2} g i n - 20 \, B a^{3} b^{3} c^{3} d^{3} g i n + 15 \, B a^{4} b^{2} c^{2} d^{4} g i n - 6 \, B a^{5} b c d^{5} g i n + B a^{6} d^{6} g i n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{4} d^{2}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/120*(6*(B*b^7*c^6*g*i*n - 6*B*a*b^6*c^5*d*g*i*n - 5*(b*x + a)*B*b^6*c^6*d*g*i*n/(d*x + c) + 15*B*a^2*b^5*c^4*d^2*g*i*n + 30*(b*x + a)*B*a*b^5*c^5*d^2*g*i*n/(d*x + c) - 20*B*a^3*b^4*c^3*d^3*g*i*n - 75*(b*x + a)*B*a^2*b^4*c^4*d^3*g*i*n/(d*x + c) + 15*B*a^4*b^3*c^2*d^4*g*i*n + 100*(b*x + a)*B*a^3*b^3*c^3*d^4*g*i*n/(d*x + c) - 6*B*a^5*b^2*c*d^5*g*i*n - 75*(b*x + a)*B*a^4*b^2*c^2*d^5*g*i*n/(d*x + c) + B*a^6*b*d^6*g*i*n + 30*(b*x + a)*B*a^5*b*c*d^6*g*i*n/(d*x + c) - 5*(b*x + a)*B*a^6*d^7*g*i*n/(d*x + c))*log((b*x + a)/(d*x + c))/(b^5*d^2 - 5*(b*x + a)*b^4*d^3/(d*x + c) + 10*(b*x + a)^2*b^3*d^4/(d*x + c)^2 - 10*(b*x + a)^3*b^2*d^5/(d*x + c)^3 + 5*(b*x + a)^4*b*d^6/(d*x + c)^4 - (b*x + a)^5*d^7/(d*x + c)^5) - (5*B*b^10*c^6*g*i*n - 30*B*a*b^9*c^5*d*g*i*n - 31*(b*x + a)*B*b^9*c^6*d*g*i*n/(d*x + c) + 75*B*a^2*b^8*c^4*d^2*g*i*n + 186*(b*x + a)*B*a*b^8*c^5*d^2*g*i*n/(d*x + c) + 47*(b*x + a)^2*B*b^8*c^6*d^2*g*i*n/(d*x + c)^2 - 100*B*a^3*b^7*c^3*d^3*g*i*n - 465*(b*x + a)*B*a^2*b^7*c^4*d^3*g*i*n/(d*x + c) - 282*(b*x + a)^2*B*a*b^7*c^5*d^3*g*i*n/(d*x + c)^2 - 27*(b*x + a)^3*B*b^7*c^6*d^3*g*i*n/(d*x + c)^3 + 75*B*a^4*b^6*c^2*d^4*g*i*n + 620*(b*x + a)*B*a^3*b^6*c^3*d^4*g*i*n/(d*x + c) + 705*(b*x + a)^2*B*a^2*b^6*c^4*d^4*g*i*n/(d*x + c)^2 + 162*(b*x + a)^3*B*a*b^6*c^5*d^4*g*i*n/(d*x + c)^3 + 6*(b*x + a)^4*B*b^6*c^6*d^4*g*i*n/(d*x + c)^4 - 30*B*a^5*b^5*c*d^5*g*i*n - 465*(b*x + a)*B*a^4*b^5*c^2*d^5*g*i*n/(d*x + c) - 940*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g*i*n/(d*x + c)^2 - 405*(b*x + a)^3*B*a^2*b^5*c^4*d^5*g*i*n/(d*x + c)^3 - 36*(b*x + a)^4*B*a*b^5*c^5*d^5*g*i*n/(d*x + c)^4 + 5*B*a^6*b^4*d^6*g*i*n + 186*(b*x + a)*B*a^5*b^4*c*d^6*g*i*n/(d*x + c) + 705*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g*i*n/(d*x + c)^2 + 540*(b*x + a)^3*B*a^3*b^4*c^3*d^6*g*i*n/(d*x + c)^3 + 90*(b*x + a)^4*B*a^2*b^4*c^4*d^6*g*i*n/(d*x + c)^4 - 31*(b*x + a)*B*a^6*b^3*d^7*g*i*n/(d*x + c) - 282*(b*x + a)^2*B*a^5*b^3*c*d^7*g*i*n/(d*x + c)^2 - 405*(b*x + a)^3*B*a^4*b^3*c^2*d^7*g*i*n/(d*x + c)^3 - 120*(b*x + a)^4*B*a^3*b^3*c^3*d^7*g*i*n/(d*x + c)^4 + 47*(b*x + a)^2*B*a^6*b^2*d^8*g*i*n/(d*x + c)^2 + 162*(b*x + a)^3*B*a^5*b^2*c*d^8*g*i*n/(d*x + c)^3 + 90*(b*x + a)^4*B*a^4*b^2*c^2*d^8*g*i*n/(d*x + c)^4 - 27*(b*x + a)^3*B*a^6*b*d^9*g*i*n/(d*x + c)^3 - 36*(b*x + a)^4*B*a^5*b*c*d^9*g*i*n/(d*x + c)^4 + 6*(b*x + a)^4*B*a^6*d^10*g*i*n/(d*x + c)^4 - 6*A*b^10*c^6*g*i - 6*B*b^10*c^6*g*i + 36*A*a*b^9*c^5*d*g*i + 36*B*a*b^9*c^5*d*g*i + 30*(b*x + a)*A*b^9*c^6*d*g*i/(d*x + c) + 30*(b*x + a)*B*b^9*c^6*d*g*i/(d*x + c) - 90*A*a^2*b^8*c^4*d^2*g*i - 90*B*a^2*b^8*c^4*d^2*g*i - 180*(b*x + a)*A*a*b^8*c^5*d^2*g*i/(d*x + c) - 180*(b*x + a)*B*a*b^8*c^5*d^2*g*i/(d*x + c) + 120*A*a^3*b^7*c^3*d^3*g*i + 120*B*a^3*b^7*c^3*d^3*g*i + 450*(b*x + a)*A*a^2*b^7*c^4*d^3*g*i/(d*x + c) + 450*(b*x + a)*B*a^2*b^7*c^4*d^3*g*i/(d*x + c) - 90*A*a^4*b^6*c^2*d^4*g*i - 90*B*a^4*b^6*c^2*d^4*g*i - 600*(b*x + a)*A*a^3*b^6*c^3*d^4*g*i/(d*x + c) - 600*(b*x + a)*B*a^3*b^6*c^3*d^4*g*i/(d*x + c) + 36*A*a^5*b^5*c*d^5*g*i + 36*B*a^5*b^5*c*d^5*g*i + 450*(b*x + a)*A*a^4*b^5*c^2*d^5*g*i/(d*x + c) + 450*(b*x + a)*B*a^4*b^5*c^2*d^5*g*i/(d*x + c) - 6*A*a^6*b^4*d^6*g*i - 6*B*a^6*b^4*d^6*g*i - 180*(b*x + a)*A*a^5*b^4*c*d^6*g*i/(d*x + c) - 180*(b*x + a)*B*a^5*b^4*c*d^6*g*i/(d*x + c) + 30*(b*x + a)*A*a^6*b^3*d^7*g*i/(d*x + c) + 30*(b*x + a)*B*a^6*b^3*d^7*g*i/(d*x + c))/(b^8*d^2 - 5*(b*x + a)*b^7*d^3/(d*x + c) + 10*(b*x + a)^2*b^6*d^4/(d*x + c)^2 - 10*(b*x + a)^3*b^5*d^5/(d*x + c)^3 + 5*(b*x + a)^4*b^4*d^6/(d*x + c)^4 - (b*x + a)^5*b^3*d^7/(d*x + c)^5) + 6*(B*b^6*c^6*g*i*n - 6*B*a*b^5*c^5*d*g*i*n + 15*B*a^2*b^4*c^4*d^2*g*i*n - 20*B*a^3*b^3*c^3*d^3*g*i*n + 15*B*a^4*b^2*c^2*d^4*g*i*n - 6*B*a^5*b*c*d^5*g*i*n + B*a^6*d^6*g*i*n)*log(b - (b*x + a)*d/(d*x + c))/(b^4*d^2) - 6*(B*b^6*c^6*g*i*n - 6*B*a*b^5*c^5*d*g*i*n + 15*B*a^2*b^4*c^4*d^2*g*i*n - 20*B*a^3*b^3*c^3*d^3*g*i*n + 15*B*a^4*b^2*c^2*d^4*g*i*n - 6*B*a^5*b*c*d^5*g*i*n + B*a^6*d^6*g*i*n)*log((b*x + a)/(d*x + c))/(b^4*d^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
130,1,1282,0,2.454877," ","integrate((d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","-\frac{1}{24} \, {\left(\frac{6 \, {\left(B b^{5} c^{5} i n - 5 \, B a b^{4} c^{4} d i n + 10 \, B a^{2} b^{3} c^{3} d^{2} i n - 10 \, B a^{3} b^{2} c^{2} d^{3} i n + 5 \, B a^{4} b c d^{4} i n - B a^{5} d^{5} i n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{4} d - \frac{4 \, {\left(b x + a\right)} b^{3} d^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b^{2} d^{3}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b d^{4}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{4} d^{5}}{{\left(d x + c\right)}^{4}}} - \frac{11 \, B b^{8} c^{5} i n - 55 \, B a b^{7} c^{4} d i n - \frac{26 \, {\left(b x + a\right)} B b^{7} c^{5} d i n}{d x + c} + 110 \, B a^{2} b^{6} c^{3} d^{2} i n + \frac{130 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} i n}{d x + c} + \frac{21 \, {\left(b x + a\right)}^{2} B b^{6} c^{5} d^{2} i n}{{\left(d x + c\right)}^{2}} - 110 \, B a^{3} b^{5} c^{2} d^{3} i n - \frac{260 \, {\left(b x + a\right)} B a^{2} b^{5} c^{3} d^{3} i n}{d x + c} - \frac{105 \, {\left(b x + a\right)}^{2} B a b^{5} c^{4} d^{3} i n}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{3} B b^{5} c^{5} d^{3} i n}{{\left(d x + c\right)}^{3}} + 55 \, B a^{4} b^{4} c d^{4} i n + \frac{260 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} i n}{d x + c} + \frac{210 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{3} d^{4} i n}{{\left(d x + c\right)}^{2}} + \frac{30 \, {\left(b x + a\right)}^{3} B a b^{4} c^{4} d^{4} i n}{{\left(d x + c\right)}^{3}} - 11 \, B a^{5} b^{3} d^{5} i n - \frac{130 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} i n}{d x + c} - \frac{210 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{2} d^{5} i n}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{3} d^{5} i n}{{\left(d x + c\right)}^{3}} + \frac{26 \, {\left(b x + a\right)} B a^{5} b^{2} d^{6} i n}{d x + c} + \frac{105 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} c d^{6} i n}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x + a\right)}^{3} B a^{3} b^{2} c^{2} d^{6} i n}{{\left(d x + c\right)}^{3}} - \frac{21 \, {\left(b x + a\right)}^{2} B a^{5} b d^{7} i n}{{\left(d x + c\right)}^{2}} - \frac{30 \, {\left(b x + a\right)}^{3} B a^{4} b c d^{7} i n}{{\left(d x + c\right)}^{3}} + \frac{6 \, {\left(b x + a\right)}^{3} B a^{5} d^{8} i n}{{\left(d x + c\right)}^{3}} - 6 \, A b^{8} c^{5} i - 6 \, B b^{8} c^{5} i + 30 \, A a b^{7} c^{4} d i + 30 \, B a b^{7} c^{4} d i - 60 \, A a^{2} b^{6} c^{3} d^{2} i - 60 \, B a^{2} b^{6} c^{3} d^{2} i + 60 \, A a^{3} b^{5} c^{2} d^{3} i + 60 \, B a^{3} b^{5} c^{2} d^{3} i - 30 \, A a^{4} b^{4} c d^{4} i - 30 \, B a^{4} b^{4} c d^{4} i + 6 \, A a^{5} b^{3} d^{5} i + 6 \, B a^{5} b^{3} d^{5} i}{b^{7} d - \frac{4 \, {\left(b x + a\right)} b^{6} d^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b^{5} d^{3}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b^{4} d^{4}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{4} b^{3} d^{5}}{{\left(d x + c\right)}^{4}}} + \frac{6 \, {\left(B b^{5} c^{5} i n - 5 \, B a b^{4} c^{4} d i n + 10 \, B a^{2} b^{3} c^{3} d^{2} i n - 10 \, B a^{3} b^{2} c^{2} d^{3} i n + 5 \, B a^{4} b c d^{4} i n - B a^{5} d^{5} i n\right)} \log\left(-b + \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{4} d} - \frac{6 \, {\left(B b^{5} c^{5} i n - 5 \, B a b^{4} c^{4} d i n + 10 \, B a^{2} b^{3} c^{3} d^{2} i n - 10 \, B a^{3} b^{2} c^{2} d^{3} i n + 5 \, B a^{4} b c d^{4} i n - B a^{5} d^{5} i n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{4} d}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/24*(6*(B*b^5*c^5*i*n - 5*B*a*b^4*c^4*d*i*n + 10*B*a^2*b^3*c^3*d^2*i*n - 10*B*a^3*b^2*c^2*d^3*i*n + 5*B*a^4*b*c*d^4*i*n - B*a^5*d^5*i*n)*log((b*x + a)/(d*x + c))/(b^4*d - 4*(b*x + a)*b^3*d^2/(d*x + c) + 6*(b*x + a)^2*b^2*d^3/(d*x + c)^2 - 4*(b*x + a)^3*b*d^4/(d*x + c)^3 + (b*x + a)^4*d^5/(d*x + c)^4) - (11*B*b^8*c^5*i*n - 55*B*a*b^7*c^4*d*i*n - 26*(b*x + a)*B*b^7*c^5*d*i*n/(d*x + c) + 110*B*a^2*b^6*c^3*d^2*i*n + 130*(b*x + a)*B*a*b^6*c^4*d^2*i*n/(d*x + c) + 21*(b*x + a)^2*B*b^6*c^5*d^2*i*n/(d*x + c)^2 - 110*B*a^3*b^5*c^2*d^3*i*n - 260*(b*x + a)*B*a^2*b^5*c^3*d^3*i*n/(d*x + c) - 105*(b*x + a)^2*B*a*b^5*c^4*d^3*i*n/(d*x + c)^2 - 6*(b*x + a)^3*B*b^5*c^5*d^3*i*n/(d*x + c)^3 + 55*B*a^4*b^4*c*d^4*i*n + 260*(b*x + a)*B*a^3*b^4*c^2*d^4*i*n/(d*x + c) + 210*(b*x + a)^2*B*a^2*b^4*c^3*d^4*i*n/(d*x + c)^2 + 30*(b*x + a)^3*B*a*b^4*c^4*d^4*i*n/(d*x + c)^3 - 11*B*a^5*b^3*d^5*i*n - 130*(b*x + a)*B*a^4*b^3*c*d^5*i*n/(d*x + c) - 210*(b*x + a)^2*B*a^3*b^3*c^2*d^5*i*n/(d*x + c)^2 - 60*(b*x + a)^3*B*a^2*b^3*c^3*d^5*i*n/(d*x + c)^3 + 26*(b*x + a)*B*a^5*b^2*d^6*i*n/(d*x + c) + 105*(b*x + a)^2*B*a^4*b^2*c*d^6*i*n/(d*x + c)^2 + 60*(b*x + a)^3*B*a^3*b^2*c^2*d^6*i*n/(d*x + c)^3 - 21*(b*x + a)^2*B*a^5*b*d^7*i*n/(d*x + c)^2 - 30*(b*x + a)^3*B*a^4*b*c*d^7*i*n/(d*x + c)^3 + 6*(b*x + a)^3*B*a^5*d^8*i*n/(d*x + c)^3 - 6*A*b^8*c^5*i - 6*B*b^8*c^5*i + 30*A*a*b^7*c^4*d*i + 30*B*a*b^7*c^4*d*i - 60*A*a^2*b^6*c^3*d^2*i - 60*B*a^2*b^6*c^3*d^2*i + 60*A*a^3*b^5*c^2*d^3*i + 60*B*a^3*b^5*c^2*d^3*i - 30*A*a^4*b^4*c*d^4*i - 30*B*a^4*b^4*c*d^4*i + 6*A*a^5*b^3*d^5*i + 6*B*a^5*b^3*d^5*i)/(b^7*d - 4*(b*x + a)*b^6*d^2/(d*x + c) + 6*(b*x + a)^2*b^5*d^3/(d*x + c)^2 - 4*(b*x + a)^3*b^4*d^4/(d*x + c)^3 + (b*x + a)^4*b^3*d^5/(d*x + c)^4) + 6*(B*b^5*c^5*i*n - 5*B*a*b^4*c^4*d*i*n + 10*B*a^2*b^3*c^3*d^2*i*n - 10*B*a^3*b^2*c^2*d^3*i*n + 5*B*a^4*b*c*d^4*i*n - B*a^5*d^5*i*n)*log(-b + (b*x + a)*d/(d*x + c))/(b^4*d) - 6*(B*b^5*c^5*i*n - 5*B*a*b^4*c^4*d*i*n + 10*B*a^2*b^3*c^3*d^2*i*n - 10*B*a^3*b^2*c^2*d^3*i*n + 5*B*a^4*b*c*d^4*i*n - B*a^5*d^5*i*n)*log((b*x + a)/(d*x + c))/(b^4*d))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
131,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
138,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,1,90,0,1.216480," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)/(d*i*x+c*i),x, algorithm=""giac"")","-\frac{{\left(B i n \log\left(\frac{b x + a}{d x + c}\right)^{2} + 2 \, A i \log\left(\frac{b x + a}{d x + c}\right) + 2 \, B i \log\left(\frac{b x + a}{d x + c}\right)\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}}{2 \, g}"," ",0,"-1/2*(B*i*n*log((b*x + a)/(d*x + c))^2 + 2*A*i*log((b*x + a)/(d*x + c)) + 2*B*i*log((b*x + a)/(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)/g","A",0
140,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
141,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^3/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
142,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^4/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
144,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
145,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
146,1,84,0,1.712300," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i)^2,x, algorithm=""giac"")","-{\left(\frac{{\left(b x + a\right)} B n \log\left(\frac{b x + a}{d x + c}\right)}{d x + c} - \frac{{\left(B n - A - B\right)} {\left(b x + a\right)}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-((b*x + a)*B*n*log((b*x + a)/(d*x + c))/(d*x + c) - (B*n - A - B)*(b*x + a)/(d*x + c))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
147,1,180,0,4.499123," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)/(d*i*x+c*i)^2,x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\frac{B b n \log\left(\frac{b x + a}{d x + c}\right)^{2}}{b c g - a d g} - \frac{2 \, {\left(b x + a\right)} B d n \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b c g - a d g\right)} {\left(d x + c\right)}} + \frac{2 \, {\left(A b + B b\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b c g - a d g} + \frac{2 \, {\left(B d n - A d - B d\right)} {\left(b x + a\right)}}{{\left(b c g - a d g\right)} {\left(d x + c\right)}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/2*(B*b*n*log((b*x + a)/(d*x + c))^2/(b*c*g - a*d*g) - 2*(b*x + a)*B*d*n*log((b*x + a)/(d*x + c))/((b*c*g - a*d*g)*(d*x + c)) + 2*(A*b + B*b)*log((b*x + a)/(d*x + c))/(b*c*g - a*d*g) + 2*(B*d*n - A*d - B*d)*(b*x + a)/((b*c*g - a*d*g)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
148,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
149,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^3/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
150,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^4/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
151,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
153,1,97,0,9.469766," ","integrate((b*g*x+a*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{2 \, {\left(b x + a\right)}^{2} B g i n \log\left(\frac{b x + a}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{{\left(B g i n - 2 \, A g i - 2 \, B g i\right)} {\left(b x + a\right)}^{2}}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/4*(2*(b*x + a)^2*B*g*i*n*log((b*x + a)/(d*x + c))/(d*x + c)^2 - (B*g*i*n - 2*A*g*i - 2*B*g*i)*(b*x + a)^2/(d*x + c)^2)*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
154,1,187,0,1.645391," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, {\left(\frac{2 \, {\left(b x + a\right)} B b i n}{{\left(b c - a d\right)} {\left(d x + c\right)}} - \frac{{\left(b x + a\right)}^{2} B d i n}{{\left(b c - a d\right)} {\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right) + \frac{{\left(B d i n - 2 \, A d i - 2 \, B d i\right)} {\left(b x + a\right)}^{2}}{{\left(b c - a d\right)} {\left(d x + c\right)}^{2}} - \frac{4 \, {\left(B b i n - A b i - B b i\right)} {\left(b x + a\right)}}{{\left(b c - a d\right)} {\left(d x + c\right)}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/4*(2*(2*(b*x + a)*B*b*i*n/((b*c - a*d)*(d*x + c)) - (b*x + a)^2*B*d*i*n/((b*c - a*d)*(d*x + c)^2))*log((b*x + a)/(d*x + c)) + (B*d*i*n - 2*A*d*i - 2*B*d*i)*(b*x + a)^2/((b*c - a*d)*(d*x + c)^2) - 4*(B*b*i*n - A*b*i - B*b*i)*(b*x + a)/((b*c - a*d)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
155,1,370,0,4.007842," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{2 \, B b^{2} i n \log\left(\frac{b x + a}{d x + c}\right)^{2}}{b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g} - 2 \, {\left(\frac{4 \, {\left(b x + a\right)} B b d i n}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(d x + c\right)}} - \frac{{\left(b x + a\right)}^{2} B d^{2} i n}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right) - \frac{4 \, {\left(A b^{2} + B b^{2}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} c^{2} g i - 2 \, a b c d g i + a^{2} d^{2} g i} - \frac{{\left(B d^{2} i n - 2 \, A d^{2} i - 2 \, B d^{2} i\right)} {\left(b x + a\right)}^{2}}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(d x + c\right)}^{2}} + \frac{8 \, {\left(B b d i n - A b d i - B b d i\right)} {\left(b x + a\right)}}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(d x + c\right)}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/4*(2*B*b^2*i*n*log((b*x + a)/(d*x + c))^2/(b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g) - 2*(4*(b*x + a)*B*b*d*i*n/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(d*x + c)) - (b*x + a)^2*B*d^2*i*n/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(d*x + c)^2))*log((b*x + a)/(d*x + c)) - 4*(A*b^2 + B*b^2)*log((b*x + a)/(d*x + c))/(b^2*c^2*g*i - 2*a*b*c*d*g*i + a^2*d^2*g*i) - (B*d^2*i*n - 2*A*d^2*i - 2*B*d^2*i)*(b*x + a)^2/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(d*x + c)^2) + 8*(B*b*d*i*n - A*b*d*i - B*b*d*i)*(b*x + a)/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
156,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
157,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^3/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^4/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
159,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
160,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
161,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
164,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,1,185,0,18.434431," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^3,x, algorithm=""giac"")","-\frac{1}{4} \, {\left(\frac{2 \, {\left(d x + c\right)}^{2} B^{2} i n^{2} \log\left(\frac{b x + a}{d x + c}\right)^{2}}{{\left(b x + a\right)}^{2} g^{3}} + \frac{2 \, {\left(B^{2} i n^{2} + 2 \, A B i n + 2 \, B^{2} i n\right)} {\left(d x + c\right)}^{2} \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b x + a\right)}^{2} g^{3}} + \frac{{\left(B^{2} i n^{2} + 2 \, A B i n + 2 \, B^{2} i n + 2 \, A^{2} i + 4 \, A B i + 2 \, B^{2} i\right)} {\left(d x + c\right)}^{2}}{{\left(b x + a\right)}^{2} g^{3}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/4*(2*(d*x + c)^2*B^2*i*n^2*log((b*x + a)/(d*x + c))^2/((b*x + a)^2*g^3) + 2*(B^2*i*n^2 + 2*A*B*i*n + 2*B^2*i*n)*(d*x + c)^2*log((b*x + a)/(d*x + c))/((b*x + a)^2*g^3) + (B^2*i*n^2 + 2*A*B*i*n + 2*B^2*i*n + 2*A^2*i + 4*A*B*i + 2*B^2*i)*(d*x + c)^2/((b*x + a)^2*g^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
166,1,481,0,25.967502," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{1}{108} \, {\left(\frac{18 \, {\left(2 \, B^{2} b i n^{2} - \frac{3 \, {\left(b x + a\right)} B^{2} d i n^{2}}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2}}{\frac{{\left(b x + a\right)}^{3} b c g^{4}}{{\left(d x + c\right)}^{3}} - \frac{{\left(b x + a\right)}^{3} a d g^{4}}{{\left(d x + c\right)}^{3}}} + \frac{6 \, {\left(4 \, B^{2} b i n^{2} - \frac{9 \, {\left(b x + a\right)} B^{2} d i n^{2}}{d x + c} + 12 \, A B b i n + 12 \, B^{2} b i n - \frac{18 \, {\left(b x + a\right)} A B d i n}{d x + c} - \frac{18 \, {\left(b x + a\right)} B^{2} d i n}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{\frac{{\left(b x + a\right)}^{3} b c g^{4}}{{\left(d x + c\right)}^{3}} - \frac{{\left(b x + a\right)}^{3} a d g^{4}}{{\left(d x + c\right)}^{3}}} + \frac{8 \, B^{2} b i n^{2} - \frac{27 \, {\left(b x + a\right)} B^{2} d i n^{2}}{d x + c} + 24 \, A B b i n + 24 \, B^{2} b i n - \frac{54 \, {\left(b x + a\right)} A B d i n}{d x + c} - \frac{54 \, {\left(b x + a\right)} B^{2} d i n}{d x + c} + 36 \, A^{2} b i + 72 \, A B b i + 36 \, B^{2} b i - \frac{54 \, {\left(b x + a\right)} A^{2} d i}{d x + c} - \frac{108 \, {\left(b x + a\right)} A B d i}{d x + c} - \frac{54 \, {\left(b x + a\right)} B^{2} d i}{d x + c}}{\frac{{\left(b x + a\right)}^{3} b c g^{4}}{{\left(d x + c\right)}^{3}} - \frac{{\left(b x + a\right)}^{3} a d g^{4}}{{\left(d x + c\right)}^{3}}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/108*(18*(2*B^2*b*i*n^2 - 3*(b*x + a)*B^2*d*i*n^2/(d*x + c))*log((b*x + a)/(d*x + c))^2/((b*x + a)^3*b*c*g^4/(d*x + c)^3 - (b*x + a)^3*a*d*g^4/(d*x + c)^3) + 6*(4*B^2*b*i*n^2 - 9*(b*x + a)*B^2*d*i*n^2/(d*x + c) + 12*A*B*b*i*n + 12*B^2*b*i*n - 18*(b*x + a)*A*B*d*i*n/(d*x + c) - 18*(b*x + a)*B^2*d*i*n/(d*x + c))*log((b*x + a)/(d*x + c))/((b*x + a)^3*b*c*g^4/(d*x + c)^3 - (b*x + a)^3*a*d*g^4/(d*x + c)^3) + (8*B^2*b*i*n^2 - 27*(b*x + a)*B^2*d*i*n^2/(d*x + c) + 24*A*B*b*i*n + 24*B^2*b*i*n - 54*(b*x + a)*A*B*d*i*n/(d*x + c) - 54*(b*x + a)*B^2*d*i*n/(d*x + c) + 36*A^2*b*i + 72*A*B*b*i + 36*B^2*b*i - 54*(b*x + a)*A^2*d*i/(d*x + c) - 108*(b*x + a)*A*B*d*i/(d*x + c) - 54*(b*x + a)*B^2*d*i/(d*x + c))/((b*x + a)^3*b*c*g^4/(d*x + c)^3 - (b*x + a)^3*a*d*g^4/(d*x + c)^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
167,1,841,0,38.004147," ","integrate((d*i*x+c*i)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^5,x, algorithm=""giac"")","-\frac{1}{864} \, {\left(\frac{72 \, {\left(3 \, B^{2} b^{2} i n^{2} - \frac{8 \, {\left(b x + a\right)} B^{2} b d i n^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B^{2} d^{2} i n^{2}}{{\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2}}{\frac{{\left(b x + a\right)}^{4} b^{2} c^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x + a\right)}^{4} a b c d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{{\left(b x + a\right)}^{4} a^{2} d^{2} g^{5}}{{\left(d x + c\right)}^{4}}} + \frac{12 \, {\left(9 \, B^{2} b^{2} i n^{2} - \frac{32 \, {\left(b x + a\right)} B^{2} b d i n^{2}}{d x + c} + \frac{36 \, {\left(b x + a\right)}^{2} B^{2} d^{2} i n^{2}}{{\left(d x + c\right)}^{2}} + 36 \, A B b^{2} i n + 36 \, B^{2} b^{2} i n - \frac{96 \, {\left(b x + a\right)} A B b d i n}{d x + c} - \frac{96 \, {\left(b x + a\right)} B^{2} b d i n}{d x + c} + \frac{72 \, {\left(b x + a\right)}^{2} A B d^{2} i n}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x + a\right)}^{2} B^{2} d^{2} i n}{{\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{\frac{{\left(b x + a\right)}^{4} b^{2} c^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x + a\right)}^{4} a b c d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{{\left(b x + a\right)}^{4} a^{2} d^{2} g^{5}}{{\left(d x + c\right)}^{4}}} + \frac{27 \, B^{2} b^{2} i n^{2} - \frac{128 \, {\left(b x + a\right)} B^{2} b d i n^{2}}{d x + c} + \frac{216 \, {\left(b x + a\right)}^{2} B^{2} d^{2} i n^{2}}{{\left(d x + c\right)}^{2}} + 108 \, A B b^{2} i n + 108 \, B^{2} b^{2} i n - \frac{384 \, {\left(b x + a\right)} A B b d i n}{d x + c} - \frac{384 \, {\left(b x + a\right)} B^{2} b d i n}{d x + c} + \frac{432 \, {\left(b x + a\right)}^{2} A B d^{2} i n}{{\left(d x + c\right)}^{2}} + \frac{432 \, {\left(b x + a\right)}^{2} B^{2} d^{2} i n}{{\left(d x + c\right)}^{2}} + 216 \, A^{2} b^{2} i + 432 \, A B b^{2} i + 216 \, B^{2} b^{2} i - \frac{576 \, {\left(b x + a\right)} A^{2} b d i}{d x + c} - \frac{1152 \, {\left(b x + a\right)} A B b d i}{d x + c} - \frac{576 \, {\left(b x + a\right)} B^{2} b d i}{d x + c} + \frac{432 \, {\left(b x + a\right)}^{2} A^{2} d^{2} i}{{\left(d x + c\right)}^{2}} + \frac{864 \, {\left(b x + a\right)}^{2} A B d^{2} i}{{\left(d x + c\right)}^{2}} + \frac{432 \, {\left(b x + a\right)}^{2} B^{2} d^{2} i}{{\left(d x + c\right)}^{2}}}{\frac{{\left(b x + a\right)}^{4} b^{2} c^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{2 \, {\left(b x + a\right)}^{4} a b c d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{{\left(b x + a\right)}^{4} a^{2} d^{2} g^{5}}{{\left(d x + c\right)}^{4}}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/864*(72*(3*B^2*b^2*i*n^2 - 8*(b*x + a)*B^2*b*d*i*n^2/(d*x + c) + 6*(b*x + a)^2*B^2*d^2*i*n^2/(d*x + c)^2)*log((b*x + a)/(d*x + c))^2/((b*x + a)^4*b^2*c^2*g^5/(d*x + c)^4 - 2*(b*x + a)^4*a*b*c*d*g^5/(d*x + c)^4 + (b*x + a)^4*a^2*d^2*g^5/(d*x + c)^4) + 12*(9*B^2*b^2*i*n^2 - 32*(b*x + a)*B^2*b*d*i*n^2/(d*x + c) + 36*(b*x + a)^2*B^2*d^2*i*n^2/(d*x + c)^2 + 36*A*B*b^2*i*n + 36*B^2*b^2*i*n - 96*(b*x + a)*A*B*b*d*i*n/(d*x + c) - 96*(b*x + a)*B^2*b*d*i*n/(d*x + c) + 72*(b*x + a)^2*A*B*d^2*i*n/(d*x + c)^2 + 72*(b*x + a)^2*B^2*d^2*i*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/((b*x + a)^4*b^2*c^2*g^5/(d*x + c)^4 - 2*(b*x + a)^4*a*b*c*d*g^5/(d*x + c)^4 + (b*x + a)^4*a^2*d^2*g^5/(d*x + c)^4) + (27*B^2*b^2*i*n^2 - 128*(b*x + a)*B^2*b*d*i*n^2/(d*x + c) + 216*(b*x + a)^2*B^2*d^2*i*n^2/(d*x + c)^2 + 108*A*B*b^2*i*n + 108*B^2*b^2*i*n - 384*(b*x + a)*A*B*b*d*i*n/(d*x + c) - 384*(b*x + a)*B^2*b*d*i*n/(d*x + c) + 432*(b*x + a)^2*A*B*d^2*i*n/(d*x + c)^2 + 432*(b*x + a)^2*B^2*d^2*i*n/(d*x + c)^2 + 216*A^2*b^2*i + 432*A*B*b^2*i + 216*B^2*b^2*i - 576*(b*x + a)*A^2*b*d*i/(d*x + c) - 1152*(b*x + a)*A*B*b*d*i/(d*x + c) - 576*(b*x + a)*B^2*b*d*i/(d*x + c) + 432*(b*x + a)^2*A^2*d^2*i/(d*x + c)^2 + 864*(b*x + a)^2*A*B*d^2*i/(d*x + c)^2 + 432*(b*x + a)^2*B^2*d^2*i/(d*x + c)^2)/((b*x + a)^4*b^2*c^2*g^5/(d*x + c)^4 - 2*(b*x + a)^4*a*b*c*d*g^5/(d*x + c)^4 + (b*x + a)^4*a^2*d^2*g^5/(d*x + c)^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
168,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
175,1,176,0,110.181049," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^4,x, algorithm=""giac"")","\frac{1}{27} \, {\left(\frac{9 \, {\left(d x + c\right)}^{3} B^{2} n^{2} \log\left(\frac{b x + a}{d x + c}\right)^{2}}{{\left(b x + a\right)}^{3} g^{4}} + \frac{6 \, {\left(B^{2} n^{2} + 3 \, A B n + 3 \, B^{2} n\right)} {\left(d x + c\right)}^{3} \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b x + a\right)}^{3} g^{4}} + \frac{{\left(2 \, B^{2} n^{2} + 6 \, A B n + 6 \, B^{2} n + 9 \, A^{2} + 18 \, A B + 9 \, B^{2}\right)} {\left(d x + c\right)}^{3}}{{\left(b x + a\right)}^{3} g^{4}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/27*(9*(d*x + c)^3*B^2*n^2*log((b*x + a)/(d*x + c))^2/((b*x + a)^3*g^4) + 6*(B^2*n^2 + 3*A*B*n + 3*B^2*n)*(d*x + c)^3*log((b*x + a)/(d*x + c))/((b*x + a)^3*g^4) + (2*B^2*n^2 + 6*A*B*n + 6*B^2*n + 9*A^2 + 18*A*B + 9*B^2)*(d*x + c)^3/((b*x + a)^3*g^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
176,1,461,0,163.533491," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{1}{864} \, {\left(\frac{72 \, {\left(3 \, B^{2} b n^{2} - \frac{4 \, {\left(b x + a\right)} B^{2} d n^{2}}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2}}{\frac{{\left(b x + a\right)}^{4} b c g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{4} a d g^{5}}{{\left(d x + c\right)}^{4}}} + \frac{12 \, {\left(9 \, B^{2} b n^{2} - \frac{16 \, {\left(b x + a\right)} B^{2} d n^{2}}{d x + c} + 36 \, A B b n + 36 \, B^{2} b n - \frac{48 \, {\left(b x + a\right)} A B d n}{d x + c} - \frac{48 \, {\left(b x + a\right)} B^{2} d n}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{\frac{{\left(b x + a\right)}^{4} b c g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{4} a d g^{5}}{{\left(d x + c\right)}^{4}}} + \frac{27 \, B^{2} b n^{2} - \frac{64 \, {\left(b x + a\right)} B^{2} d n^{2}}{d x + c} + 108 \, A B b n + 108 \, B^{2} b n - \frac{192 \, {\left(b x + a\right)} A B d n}{d x + c} - \frac{192 \, {\left(b x + a\right)} B^{2} d n}{d x + c} + 216 \, A^{2} b + 432 \, A B b + 216 \, B^{2} b - \frac{288 \, {\left(b x + a\right)} A^{2} d}{d x + c} - \frac{576 \, {\left(b x + a\right)} A B d}{d x + c} - \frac{288 \, {\left(b x + a\right)} B^{2} d}{d x + c}}{\frac{{\left(b x + a\right)}^{4} b c g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{4} a d g^{5}}{{\left(d x + c\right)}^{4}}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/864*(72*(3*B^2*b*n^2 - 4*(b*x + a)*B^2*d*n^2/(d*x + c))*log((b*x + a)/(d*x + c))^2/((b*x + a)^4*b*c*g^5/(d*x + c)^4 - (b*x + a)^4*a*d*g^5/(d*x + c)^4) + 12*(9*B^2*b*n^2 - 16*(b*x + a)*B^2*d*n^2/(d*x + c) + 36*A*B*b*n + 36*B^2*b*n - 48*(b*x + a)*A*B*d*n/(d*x + c) - 48*(b*x + a)*B^2*d*n/(d*x + c))*log((b*x + a)/(d*x + c))/((b*x + a)^4*b*c*g^5/(d*x + c)^4 - (b*x + a)^4*a*d*g^5/(d*x + c)^4) + (27*B^2*b*n^2 - 64*(b*x + a)*B^2*d*n^2/(d*x + c) + 108*A*B*b*n + 108*B^2*b*n - 192*(b*x + a)*A*B*d*n/(d*x + c) - 192*(b*x + a)*B^2*d*n/(d*x + c) + 216*A^2*b + 432*A*B*b + 216*B^2*b - 288*(b*x + a)*A^2*d/(d*x + c) - 576*(b*x + a)*A*B*d/(d*x + c) - 288*(b*x + a)*B^2*d/(d*x + c))/((b*x + a)^4*b*c*g^5/(d*x + c)^4 - (b*x + a)^4*a*d*g^5/(d*x + c)^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
177,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^6,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
180,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
182,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,-1,0,0,0.000000," ","integrate((d*i*x+c*i)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
186,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
187,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
188,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
189,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
190,1,162,0,1.659105," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)/(d*i*x+c*i),x, algorithm=""giac"")","-\frac{{\left(B^{2} i n^{2} \log\left(\frac{b x + a}{d x + c}\right)^{3} + 3 \, A B i n \log\left(\frac{b x + a}{d x + c}\right)^{2} + 3 \, B^{2} i n \log\left(\frac{b x + a}{d x + c}\right)^{2} + 3 \, A^{2} i \log\left(\frac{b x + a}{d x + c}\right) + 6 \, A B i \log\left(\frac{b x + a}{d x + c}\right) + 3 \, B^{2} i \log\left(\frac{b x + a}{d x + c}\right)\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}}{3 \, g}"," ",0,"-1/3*(B^2*i*n^2*log((b*x + a)/(d*x + c))^3 + 3*A*B*i*n*log((b*x + a)/(d*x + c))^2 + 3*B^2*i*n*log((b*x + a)/(d*x + c))^2 + 3*A^2*i*log((b*x + a)/(d*x + c)) + 6*A*B*i*log((b*x + a)/(d*x + c)) + 3*B^2*i*log((b*x + a)/(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)/g","B",0
191,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^2/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
192,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^3/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
193,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^4/(d*i*x+c*i),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
194,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
195,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
196,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,1,156,0,4.780827," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","-{\left(\frac{{\left(b x + a\right)} B^{2} n^{2} \log\left(\frac{b x + a}{d x + c}\right)^{2}}{d x + c} - \frac{2 \, {\left(B^{2} n^{2} - A B n - B^{2} n\right)} {\left(b x + a\right)} \log\left(\frac{b x + a}{d x + c}\right)}{d x + c} + \frac{{\left(2 \, B^{2} n^{2} - 2 \, A B n - 2 \, B^{2} n + A^{2} + 2 \, A B + B^{2}\right)} {\left(b x + a\right)}}{d x + c}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-((b*x + a)*B^2*n^2*log((b*x + a)/(d*x + c))^2/(d*x + c) - 2*(B^2*n^2 - A*B*n - B^2*n)*(b*x + a)*log((b*x + a)/(d*x + c))/(d*x + c) + (2*B^2*n^2 - 2*A*B*n - 2*B^2*n + A^2 + 2*A*B + B^2)*(b*x + a)/(d*x + c))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
198,1,314,0,8.061994," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)/(d*i*x+c*i)^2,x, algorithm=""giac"")","-\frac{1}{3} \, {\left(\frac{B^{2} b n^{2} \log\left(\frac{b x + a}{d x + c}\right)^{3}}{b c g - a d g} - 3 \, {\left(\frac{{\left(b x + a\right)} B^{2} d n^{2}}{{\left(b c g - a d g\right)} {\left(d x + c\right)}} - \frac{A B b n + B^{2} b n}{b c g - a d g}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} + \frac{3 \, {\left(A^{2} b + 2 \, A B b + B^{2} b\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b c g - a d g} + \frac{6 \, {\left(B^{2} d n^{2} - A B d n - B^{2} d n\right)} {\left(b x + a\right)} \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b c g - a d g\right)} {\left(d x + c\right)}} - \frac{3 \, {\left(2 \, B^{2} d n^{2} - 2 \, A B d n - 2 \, B^{2} d n + A^{2} d + 2 \, A B d + B^{2} d\right)} {\left(b x + a\right)}}{{\left(b c g - a d g\right)} {\left(d x + c\right)}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"-1/3*(B^2*b*n^2*log((b*x + a)/(d*x + c))^3/(b*c*g - a*d*g) - 3*((b*x + a)*B^2*d*n^2/((b*c*g - a*d*g)*(d*x + c)) - (A*B*b*n + B^2*b*n)/(b*c*g - a*d*g))*log((b*x + a)/(d*x + c))^2 + 3*(A^2*b + 2*A*B*b + B^2*b)*log((b*x + a)/(d*x + c))/(b*c*g - a*d*g) + 6*(B^2*d*n^2 - A*B*d*n - B^2*d*n)*(b*x + a)*log((b*x + a)/(d*x + c))/((b*c*g - a*d*g)*(d*x + c)) - 3*(2*B^2*d*n^2 - 2*A*B*d*n - 2*B^2*d*n + A^2*d + 2*A*B*d + B^2*d)*(b*x + a)/((b*c*g - a*d*g)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
199,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^2/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
200,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^3/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
201,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^4/(d*i*x+c*i)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
202,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
203,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
204,1,186,0,19.661221," ","integrate((b*g*x+a*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{2 \, {\left(b x + a\right)}^{2} B^{2} g i n^{2} \log\left(\frac{b x + a}{d x + c}\right)^{2}}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(B^{2} g i n^{2} - 2 \, A B g i n - 2 \, B^{2} g i n\right)} {\left(b x + a\right)}^{2} \log\left(\frac{b x + a}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{{\left(B^{2} g i n^{2} - 2 \, A B g i n - 2 \, B^{2} g i n + 2 \, A^{2} g i + 4 \, A B g i + 2 \, B^{2} g i\right)} {\left(b x + a\right)}^{2}}{{\left(d x + c\right)}^{2}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/4*(2*(b*x + a)^2*B^2*g*i*n^2*log((b*x + a)/(d*x + c))^2/(d*x + c)^2 - 2*(B^2*g*i*n^2 - 2*A*B*g*i*n - 2*B^2*g*i*n)*(b*x + a)^2*log((b*x + a)/(d*x + c))/(d*x + c)^2 + (B^2*g*i*n^2 - 2*A*B*g*i*n - 2*B^2*g*i*n + 2*A^2*g*i + 4*A*B*g*i + 2*B^2*g*i)*(b*x + a)^2/(d*x + c)^2)*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
205,1,371,0,4.172328," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, {\left(\frac{2 \, {\left(b x + a\right)} B^{2} b i n^{2}}{{\left(b c - a d\right)} {\left(d x + c\right)}} - \frac{{\left(b x + a\right)}^{2} B^{2} d i n^{2}}{{\left(b c - a d\right)} {\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} + 2 \, {\left(\frac{{\left(B^{2} d i n^{2} - 2 \, A B d i n - 2 \, B^{2} d i n\right)} {\left(b x + a\right)}^{2}}{{\left(b c - a d\right)} {\left(d x + c\right)}^{2}} - \frac{4 \, {\left(B^{2} b i n^{2} - A B b i n - B^{2} b i n\right)} {\left(b x + a\right)}}{{\left(b c - a d\right)} {\left(d x + c\right)}}\right)} \log\left(\frac{b x + a}{d x + c}\right) - \frac{{\left(B^{2} d i n^{2} - 2 \, A B d i n - 2 \, B^{2} d i n + 2 \, A^{2} d i + 4 \, A B d i + 2 \, B^{2} d i\right)} {\left(b x + a\right)}^{2}}{{\left(b c - a d\right)} {\left(d x + c\right)}^{2}} + \frac{4 \, {\left(2 \, B^{2} b i n^{2} - 2 \, A B b i n - 2 \, B^{2} b i n + A^{2} b i + 2 \, A B b i + B^{2} b i\right)} {\left(b x + a\right)}}{{\left(b c - a d\right)} {\left(d x + c\right)}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/4*(2*(2*(b*x + a)*B^2*b*i*n^2/((b*c - a*d)*(d*x + c)) - (b*x + a)^2*B^2*d*i*n^2/((b*c - a*d)*(d*x + c)^2))*log((b*x + a)/(d*x + c))^2 + 2*((B^2*d*i*n^2 - 2*A*B*d*i*n - 2*B^2*d*i*n)*(b*x + a)^2/((b*c - a*d)*(d*x + c)^2) - 4*(B^2*b*i*n^2 - A*B*b*i*n - B^2*b*i*n)*(b*x + a)/((b*c - a*d)*(d*x + c)))*log((b*x + a)/(d*x + c)) - (B^2*d*i*n^2 - 2*A*B*d*i*n - 2*B^2*d*i*n + 2*A^2*d*i + 4*A*B*d*i + 2*B^2*d*i)*(b*x + a)^2/((b*c - a*d)*(d*x + c)^2) + 4*(2*B^2*b*i*n^2 - 2*A*B*b*i*n - 2*B^2*b*i*n + A^2*b*i + 2*A*B*b*i + B^2*b*i)*(b*x + a)/((b*c - a*d)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
206,1,664,0,8.669439," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)/(d*i*x+c*i)^3,x, algorithm=""giac"")","\frac{1}{12} \, {\left(\frac{4 \, B^{2} b^{2} i n^{2} \log\left(\frac{b x + a}{d x + c}\right)^{3}}{b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g} - 6 \, {\left(\frac{4 \, {\left(b x + a\right)} B^{2} b d i n^{2}}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(d x + c\right)}} - \frac{{\left(b x + a\right)}^{2} B^{2} d^{2} i n^{2}}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(d x + c\right)}^{2}} - \frac{2 \, {\left(A B b^{2} i n + B^{2} b^{2} i n\right)}}{b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} - 6 \, {\left(\frac{{\left(B^{2} d^{2} i n^{2} - 2 \, A B d^{2} i n - 2 \, B^{2} d^{2} i n\right)} {\left(b x + a\right)}^{2}}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(d x + c\right)}^{2}} - \frac{8 \, {\left(B^{2} b d i n^{2} - A B b d i n - B^{2} b d i n\right)} {\left(b x + a\right)}}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(d x + c\right)}}\right)} \log\left(\frac{b x + a}{d x + c}\right) - \frac{12 \, {\left(A^{2} b^{2} + 2 \, A B b^{2} + B^{2} b^{2}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} c^{2} g i - 2 \, a b c d g i + a^{2} d^{2} g i} + \frac{3 \, {\left(B^{2} d^{2} i n^{2} - 2 \, A B d^{2} i n - 2 \, B^{2} d^{2} i n + 2 \, A^{2} d^{2} i + 4 \, A B d^{2} i + 2 \, B^{2} d^{2} i\right)} {\left(b x + a\right)}^{2}}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(d x + c\right)}^{2}} - \frac{24 \, {\left(2 \, B^{2} b d i n^{2} - 2 \, A B b d i n - 2 \, B^{2} b d i n + A^{2} b d i + 2 \, A B b d i + B^{2} b d i\right)} {\left(b x + a\right)}}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(d x + c\right)}}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)}"," ",0,"1/12*(4*B^2*b^2*i*n^2*log((b*x + a)/(d*x + c))^3/(b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g) - 6*(4*(b*x + a)*B^2*b*d*i*n^2/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(d*x + c)) - (b*x + a)^2*B^2*d^2*i*n^2/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(d*x + c)^2) - 2*(A*B*b^2*i*n + B^2*b^2*i*n)/(b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g))*log((b*x + a)/(d*x + c))^2 - 6*((B^2*d^2*i*n^2 - 2*A*B*d^2*i*n - 2*B^2*d^2*i*n)*(b*x + a)^2/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(d*x + c)^2) - 8*(B^2*b*d*i*n^2 - A*B*b*d*i*n - B^2*b*d*i*n)*(b*x + a)/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(d*x + c)))*log((b*x + a)/(d*x + c)) - 12*(A^2*b^2 + 2*A*B*b^2 + B^2*b^2)*log((b*x + a)/(d*x + c))/(b^2*c^2*g*i - 2*a*b*c*d*g*i + a^2*d^2*g*i) + 3*(B^2*d^2*i*n^2 - 2*A*B*d^2*i*n - 2*B^2*d^2*i*n + 2*A^2*d^2*i + 4*A*B*d^2*i + 2*B^2*d^2*i)*(b*x + a)^2/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(d*x + c)^2) - 24*(2*B^2*b*d*i*n^2 - 2*A*B*b*d*i*n - 2*B^2*b*d*i*n + A^2*b*d*i + 2*A*B*b*d*i + B^2*b*d*i)*(b*x + a)/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
207,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^2/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
208,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^3/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
209,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^4/(d*i*x+c*i)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,0,0,0,0.000000," ","integrate((b*g*x+a*g)^m*(d*i*x+c*i)^(-2-m)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^p,x, algorithm=""giac"")","\int {\left(b g x + a g\right)}^{m} {\left(d i x + c i\right)}^{-m - 2} {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{p}\,{d x}"," ",0,"integrate((b*g*x + a*g)^m*(d*i*x + c*i)^(-m - 2)*(B*log(e*((b*x + a)/(d*x + c))^n) + A)^p, x)","F",0
211,0,0,0,0.000000," ","integrate((b*g*x+a*g)^(-2-m)*(d*i*x+c*i)^m*(A+B*log(e*((b*x+a)/(d*x+c))^n))^p,x, algorithm=""giac"")","\int {\left(b g x + a g\right)}^{-m - 2} {\left(d i x + c i\right)}^{m} {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{p}\,{d x}"," ",0,"integrate((b*g*x + a*g)^(-m - 2)*(d*i*x + c*i)^m*(B*log(e*((b*x + a)/(d*x + c))^n) + A)^p, x)","F",0
212,0,0,0,0.000000," ","integrate((b*g*x+a*g)^m*(d*i*x+c*i)^(-2-m)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^3,x, algorithm=""giac"")","\int {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{3} {\left(b g x + a g\right)}^{m} {\left(d i x + c i\right)}^{-m - 2}\,{d x}"," ",0,"integrate((B*log(e*((b*x + a)/(d*x + c))^n) + A)^3*(b*g*x + a*g)^m*(d*i*x + c*i)^(-m - 2), x)","F",0
213,0,0,0,0.000000," ","integrate((b*g*x+a*g)^m*(d*i*x+c*i)^(-2-m)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2} {\left(b g x + a g\right)}^{m} {\left(d i x + c i\right)}^{-m - 2}\,{d x}"," ",0,"integrate((B*log(e*((b*x + a)/(d*x + c))^n) + A)^2*(b*g*x + a*g)^m*(d*i*x + c*i)^(-m - 2), x)","F",0
214,0,0,0,0.000000," ","integrate((b*g*x+a*g)^m*(d*i*x+c*i)^(-2-m)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\int {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)} {\left(b g x + a g\right)}^{m} {\left(d i x + c i\right)}^{-m - 2}\,{d x}"," ",0,"integrate((B*log(e*((b*x + a)/(d*x + c))^n) + A)*(b*g*x + a*g)^m*(d*i*x + c*i)^(-m - 2), x)","F",0
215,0,0,0,0.000000," ","integrate((b*g*x+a*g)^m*(d*i*x+c*i)^(-2-m)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{m} {\left(d i x + c i\right)}^{-m - 2}}{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}\,{d x}"," ",0,"integrate((b*g*x + a*g)^m*(d*i*x + c*i)^(-m - 2)/(B*log(e*((b*x + a)/(d*x + c))^n) + A), x)","F",0
216,0,0,0,0.000000," ","integrate((b*g*x+a*g)^m*(d*i*x+c*i)^(-2-m)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{m} {\left(d i x + c i\right)}^{-m - 2}}{{\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((b*g*x + a*g)^m*(d*i*x + c*i)^(-m - 2)/(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2, x)","F",0
217,0,0,0,0.000000," ","integrate((b*g*x+a*g)^m*(d*i*x+c*i)^(-2-m)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^3,x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{m} {\left(d i x + c i\right)}^{-m - 2}}{{\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{3}}\,{d x}"," ",0,"integrate((b*g*x + a*g)^m*(d*i*x + c*i)^(-m - 2)/(B*log(e*((b*x + a)/(d*x + c))^n) + A)^3, x)","F",0
218,0,0,0,0.000000," ","integrate((b*g*x+a*g)^(-2-m)*(d*i*x+c*i)^m*(A+B*log(e*((b*x+a)/(d*x+c))^n))^3,x, algorithm=""giac"")","\int {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{3} {\left(b g x + a g\right)}^{-m - 2} {\left(d i x + c i\right)}^{m}\,{d x}"," ",0,"integrate((B*log(e*((b*x + a)/(d*x + c))^n) + A)^3*(b*g*x + a*g)^(-m - 2)*(d*i*x + c*i)^m, x)","F",0
219,0,0,0,0.000000," ","integrate((b*g*x+a*g)^(-2-m)*(d*i*x+c*i)^m*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2} {\left(b g x + a g\right)}^{-m - 2} {\left(d i x + c i\right)}^{m}\,{d x}"," ",0,"integrate((B*log(e*((b*x + a)/(d*x + c))^n) + A)^2*(b*g*x + a*g)^(-m - 2)*(d*i*x + c*i)^m, x)","F",0
220,0,0,0,0.000000," ","integrate((b*g*x+a*g)^(-2-m)*(d*i*x+c*i)^m*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\int {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)} {\left(b g x + a g\right)}^{-m - 2} {\left(d i x + c i\right)}^{m}\,{d x}"," ",0,"integrate((B*log(e*((b*x + a)/(d*x + c))^n) + A)*(b*g*x + a*g)^(-m - 2)*(d*i*x + c*i)^m, x)","F",0
221,0,0,0,0.000000," ","integrate((b*g*x+a*g)^(-2-m)*(d*i*x+c*i)^m/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{-m - 2} {\left(d i x + c i\right)}^{m}}{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}\,{d x}"," ",0,"integrate((b*g*x + a*g)^(-m - 2)*(d*i*x + c*i)^m/(B*log(e*((b*x + a)/(d*x + c))^n) + A), x)","F",0
222,0,0,0,0.000000," ","integrate((b*g*x+a*g)^(-2-m)*(d*i*x+c*i)^m/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{-m - 2} {\left(d i x + c i\right)}^{m}}{{\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((b*g*x + a*g)^(-m - 2)*(d*i*x + c*i)^m/(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2, x)","F",0
223,0,0,0,0.000000," ","integrate((b*g*x+a*g)^(-2-m)*(d*i*x+c*i)^m/(A+B*log(e*((b*x+a)/(d*x+c))^n))^3,x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{-m - 2} {\left(d i x + c i\right)}^{m}}{{\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{3}}\,{d x}"," ",0,"integrate((b*g*x + a*g)^(-m - 2)*(d*i*x + c*i)^m/(B*log(e*((b*x + a)/(d*x + c))^n) + A)^3, x)","F",0
224,0,0,0,0.000000," ","integrate(log(e*((b*x+a)/(d*x+c))^n)^p/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{\log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{p}}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate(log(e*((b*x + a)/(d*x + c))^n)^p/((b*x + a)*(d*x + c)), x)","F",0
225,0,0,0,0.000000," ","integrate(log(e*((b*x+a)/(d*x+c))^n)^p/(a*c+(a*d+b*c)*x+b*d*x^2),x, algorithm=""giac"")","\int \frac{\log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{p}}{b d x^{2} + a c + {\left(b c + a d\right)} x}\,{d x}"," ",0,"integrate(log(e*((b*x + a)/(d*x + c))^n)^p/(b*d*x^2 + a*c + (b*c + a*d)*x), x)","F",0
226,-2,0,0,0.000000," ","integrate((b*g*x+a*g)^m*(d*i*x+c*i)^(-2-m)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^p,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Simplification assuming c near 0Simplification assuming c near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Simplification assuming a near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Simplification assuming a near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming x near 0Simplification assuming x near 0Simplification assuming a near 0Simplification assuming a near 0Simplification assuming c near 0Simplification assuming c near 0Unable to divide, perhaps due to rounding error%%%{1,[0,0,5,5,0,2,2,3,3,0,0,2]%%%}+%%%{-2,[0,0,5,4,1,3,1,3,3,0,0,2]%%%}+%%%{1,[0,0,5,3,2,4,0,3,3,0,0,2]%%%}+%%%{2,[0,0,4,5,0,1,3,3,3,0,0,2]%%%}+%%%{-1,[0,0,4,4,1,2,2,3,3,0,0,2]%%%}+%%%{-4,[0,0,4,3,2,3,1,3,3,0,0,2]%%%}+%%%{3,[0,0,4,2,3,4,0,3,3,0,0,2]%%%}+%%%{1,[0,0,3,5,0,0,4,3,3,0,0,2]%%%}+%%%{4,[0,0,3,4,1,1,3,3,3,0,0,2]%%%}+%%%{-8,[0,0,3,3,2,2,2,3,3,0,0,2]%%%}+%%%{3,[0,0,3,1,4,4,0,3,3,0,0,2]%%%}+%%%{3,[0,0,2,4,1,0,4,3,3,0,0,2]%%%}+%%%{-8,[0,0,2,2,3,2,2,3,3,0,0,2]%%%}+%%%{4,[0,0,2,1,4,3,1,3,3,0,0,2]%%%}+%%%{1,[0,0,2,0,5,4,0,3,3,0,0,2]%%%}+%%%{3,[0,0,1,3,2,0,4,3,3,0,0,2]%%%}+%%%{-4,[0,0,1,2,3,1,3,3,3,0,0,2]%%%}+%%%{-1,[0,0,1,1,4,2,2,3,3,0,0,2]%%%}+%%%{2,[0,0,1,0,5,3,1,3,3,0,0,2]%%%}+%%%{1,[0,0,0,2,3,0,4,3,3,0,0,2]%%%}+%%%{-2,[0,0,0,1,4,1,3,3,3,0,0,2]%%%}+%%%{1,[0,0,0,0,5,2,2,3,3,0,0,2]%%%} / %%%{1,[0,0,6,5,0,3,2,3,3,0,0,2]%%%}+%%%{-2,[0,0,6,4,1,4,1,3,3,0,0,2]%%%}+%%%{1,[0,0,6,3,2,5,0,3,3,0,0,2]%%%}+%%%{3,[0,0,5,5,0,2,3,3,3,0,0,2]%%%}+%%%{-3,[0,0,5,4,1,3,2,3,3,0,0,2]%%%}+%%%{-3,[0,0,5,3,2,4,1,3,3,0,0,2]%%%}+%%%{3,[0,0,5,2,3,5,0,3,3,0,0,2]%%%}+%%%{3,[0,0,4,5,0,1,4,3,3,0,0,2]%%%}+%%%{3,[0,0,4,4,1,2,3,3,3,0,0,2]%%%}+%%%{-12,[0,0,4,3,2,3,2,3,3,0,0,2]%%%}+%%%{3,[0,0,4,2,3,4,1,3,3,0,0,2]%%%}+%%%{3,[0,0,4,1,4,5,0,3,3,0,0,2]%%%}+%%%{1,[0,0,3,5,0,0,5,3,3,0,0,2]%%%}+%%%{7,[0,0,3,4,1,1,4,3,3,0,0,2]%%%}+%%%{-8,[0,0,3,3,2,2,3,3,3,0,0,2]%%%}+%%%{-8,[0,0,3,2,3,3,2,3,3,0,0,2]%%%}+%%%{7,[0,0,3,1,4,4,1,3,3,0,0,2]%%%}+%%%{1,[0,0,3,0,5,5,0,3,3,0,0,2]%%%}+%%%{3,[0,0,2,4,1,0,5,3,3,0,0,2]%%%}+%%%{3,[0,0,2,3,2,1,4,3,3,0,0,2]%%%}+%%%{-12,[0,0,2,2,3,2,3,3,3,0,0,2]%%%}+%%%{3,[0,0,2,1,4,3,2,3,3,0,0,2]%%%}+%%%{3,[0,0,2,0,5,4,1,3,3,0,0,2]%%%}+%%%{3,[0,0,1,3,2,0,5,3,3,0,0,2]%%%}+%%%{-3,[0,0,1,2,3,1,4,3,3,0,0,2]%%%}+%%%{-3,[0,0,1,1,4,2,3,3,3,0,0,2]%%%}+%%%{3,[0,0,1,0,5,3,2,3,3,0,0,2]%%%}+%%%{1,[0,0,0,2,3,0,5,3,3,0,0,2]%%%}+%%%{-2,[0,0,0,1,4,1,4,3,3,0,0,2]%%%}+%%%{1,[0,0,0,0,5,2,3,3,3,0,0,2]%%%} Error: Bad Argument Value","F(-2)",0
227,-2,0,0,0.000000," ","integrate((b*g*x+a*g)^(-2-m)*(d*i*x+c*i)^m*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^p,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Simplification assuming c near 0Simplification assuming c near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Simplification assuming a near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming t_nostep near 0Simplification assuming t_nostep near 0Simplification assuming a near 0Simplification assuming a near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming c near 0Simplification assuming x near 0Simplification assuming x near 0Simplification assuming a near 0Simplification assuming a near 0Simplification assuming c near 0Simplification assuming c near 0Unable to divide, perhaps due to rounding error%%%{1,[0,0,5,5,0,2,2,3,3,0,0,2]%%%}+%%%{-2,[0,0,5,4,1,3,1,3,3,0,0,2]%%%}+%%%{1,[0,0,5,3,2,4,0,3,3,0,0,2]%%%}+%%%{2,[0,0,4,5,0,1,3,3,3,0,0,2]%%%}+%%%{-1,[0,0,4,4,1,2,2,3,3,0,0,2]%%%}+%%%{-4,[0,0,4,3,2,3,1,3,3,0,0,2]%%%}+%%%{3,[0,0,4,2,3,4,0,3,3,0,0,2]%%%}+%%%{1,[0,0,3,5,0,0,4,3,3,0,0,2]%%%}+%%%{4,[0,0,3,4,1,1,3,3,3,0,0,2]%%%}+%%%{-8,[0,0,3,3,2,2,2,3,3,0,0,2]%%%}+%%%{3,[0,0,3,1,4,4,0,3,3,0,0,2]%%%}+%%%{3,[0,0,2,4,1,0,4,3,3,0,0,2]%%%}+%%%{-8,[0,0,2,2,3,2,2,3,3,0,0,2]%%%}+%%%{4,[0,0,2,1,4,3,1,3,3,0,0,2]%%%}+%%%{1,[0,0,2,0,5,4,0,3,3,0,0,2]%%%}+%%%{3,[0,0,1,3,2,0,4,3,3,0,0,2]%%%}+%%%{-4,[0,0,1,2,3,1,3,3,3,0,0,2]%%%}+%%%{-1,[0,0,1,1,4,2,2,3,3,0,0,2]%%%}+%%%{2,[0,0,1,0,5,3,1,3,3,0,0,2]%%%}+%%%{1,[0,0,0,2,3,0,4,3,3,0,0,2]%%%}+%%%{-2,[0,0,0,1,4,1,3,3,3,0,0,2]%%%}+%%%{1,[0,0,0,0,5,2,2,3,3,0,0,2]%%%} / %%%{1,[0,0,6,5,0,3,2,3,3,0,0,2]%%%}+%%%{-2,[0,0,6,4,1,4,1,3,3,0,0,2]%%%}+%%%{1,[0,0,6,3,2,5,0,3,3,0,0,2]%%%}+%%%{3,[0,0,5,5,0,2,3,3,3,0,0,2]%%%}+%%%{-3,[0,0,5,4,1,3,2,3,3,0,0,2]%%%}+%%%{-3,[0,0,5,3,2,4,1,3,3,0,0,2]%%%}+%%%{3,[0,0,5,2,3,5,0,3,3,0,0,2]%%%}+%%%{3,[0,0,4,5,0,1,4,3,3,0,0,2]%%%}+%%%{3,[0,0,4,4,1,2,3,3,3,0,0,2]%%%}+%%%{-12,[0,0,4,3,2,3,2,3,3,0,0,2]%%%}+%%%{3,[0,0,4,2,3,4,1,3,3,0,0,2]%%%}+%%%{3,[0,0,4,1,4,5,0,3,3,0,0,2]%%%}+%%%{1,[0,0,3,5,0,0,5,3,3,0,0,2]%%%}+%%%{7,[0,0,3,4,1,1,4,3,3,0,0,2]%%%}+%%%{-8,[0,0,3,3,2,2,3,3,3,0,0,2]%%%}+%%%{-8,[0,0,3,2,3,3,2,3,3,0,0,2]%%%}+%%%{7,[0,0,3,1,4,4,1,3,3,0,0,2]%%%}+%%%{1,[0,0,3,0,5,5,0,3,3,0,0,2]%%%}+%%%{3,[0,0,2,4,1,0,5,3,3,0,0,2]%%%}+%%%{3,[0,0,2,3,2,1,4,3,3,0,0,2]%%%}+%%%{-12,[0,0,2,2,3,2,3,3,3,0,0,2]%%%}+%%%{3,[0,0,2,1,4,3,2,3,3,0,0,2]%%%}+%%%{3,[0,0,2,0,5,4,1,3,3,0,0,2]%%%}+%%%{3,[0,0,1,3,2,0,5,3,3,0,0,2]%%%}+%%%{-3,[0,0,1,2,3,1,4,3,3,0,0,2]%%%}+%%%{-3,[0,0,1,1,4,2,3,3,3,0,0,2]%%%}+%%%{3,[0,0,1,0,5,3,2,3,3,0,0,2]%%%}+%%%{1,[0,0,0,2,3,0,5,3,3,0,0,2]%%%}+%%%{-2,[0,0,0,1,4,1,4,3,3,0,0,2]%%%}+%%%{1,[0,0,0,0,5,2,3,3,3,0,0,2]%%%} Error: Bad Argument Value","F(-2)",0
228,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{3}}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/((b*x + a)*(d*x + c)), x)","F",0
229,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{2}}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/((b*x + a)*(d*x + c)), x)","F",0
230,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)/((b*x + a)*(d*x + c)), x)","F",0
231,1,38,0,0.165639," ","integrate(1/(b*x+a)/(d*x+c)/(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\frac{\log\left(B n \log\left(b x + a\right) - B n \log\left(d x + c\right) + A + B\right)}{B b c n - B a d n}"," ",0,"log(B*n*log(b*x + a) - B*n*log(d*x + c) + A + B)/(B*b*c*n - B*a*d*n)","A",0
232,1,95,0,0.179838," ","integrate(1/(b*x+a)/(d*x+c)/(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""giac"")","-\frac{1}{B^{2} b c n^{2} \log\left(b x + a\right) - B^{2} a d n^{2} \log\left(b x + a\right) - B^{2} b c n^{2} \log\left(d x + c\right) + B^{2} a d n^{2} \log\left(d x + c\right) + A B b c n + B^{2} b c n - A B a d n - B^{2} a d n}"," ",0,"-1/(B^2*b*c*n^2*log(b*x + a) - B^2*a*d*n^2*log(b*x + a) - B^2*b*c*n^2*log(d*x + c) + B^2*a*d*n^2*log(d*x + c) + A*B*b*c*n + B^2*b*c*n - A*B*a*d*n - B^2*a*d*n)","B",0
233,1,301,0,0.244573," ","integrate(1/(b*x+a)/(d*x+c)/(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(B^{3} b c n^{3} \log\left(b x + a\right)^{2} - B^{3} a d n^{3} \log\left(b x + a\right)^{2} - 2 \, B^{3} b c n^{3} \log\left(b x + a\right) \log\left(d x + c\right) + 2 \, B^{3} a d n^{3} \log\left(b x + a\right) \log\left(d x + c\right) + B^{3} b c n^{3} \log\left(d x + c\right)^{2} - B^{3} a d n^{3} \log\left(d x + c\right)^{2} + 2 \, A B^{2} b c n^{2} \log\left(b x + a\right) + 2 \, B^{3} b c n^{2} \log\left(b x + a\right) - 2 \, A B^{2} a d n^{2} \log\left(b x + a\right) - 2 \, B^{3} a d n^{2} \log\left(b x + a\right) - 2 \, A B^{2} b c n^{2} \log\left(d x + c\right) - 2 \, B^{3} b c n^{2} \log\left(d x + c\right) + 2 \, A B^{2} a d n^{2} \log\left(d x + c\right) + 2 \, B^{3} a d n^{2} \log\left(d x + c\right) + A^{2} B b c n + 2 \, A B^{2} b c n + B^{3} b c n - A^{2} B a d n - 2 \, A B^{2} a d n - B^{3} a d n\right)}}"," ",0,"-1/2/(B^3*b*c*n^3*log(b*x + a)^2 - B^3*a*d*n^3*log(b*x + a)^2 - 2*B^3*b*c*n^3*log(b*x + a)*log(d*x + c) + 2*B^3*a*d*n^3*log(b*x + a)*log(d*x + c) + B^3*b*c*n^3*log(d*x + c)^2 - B^3*a*d*n^3*log(d*x + c)^2 + 2*A*B^2*b*c*n^2*log(b*x + a) + 2*B^3*b*c*n^2*log(b*x + a) - 2*A*B^2*a*d*n^2*log(b*x + a) - 2*B^3*a*d*n^2*log(b*x + a) - 2*A*B^2*b*c*n^2*log(d*x + c) - 2*B^3*b*c*n^2*log(d*x + c) + 2*A*B^2*a*d*n^2*log(d*x + c) + 2*B^3*a*d*n^2*log(d*x + c) + A^2*B*b*c*n + 2*A*B^2*b*c*n + B^3*b*c*n - A^2*B*a*d*n - 2*A*B^2*a*d*n - B^3*a*d*n)","B",0
234,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^p/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{p}}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^p/((b*x + a)*(d*x + c)), x)","F",0
235,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^p/(b*f*x+a*f)/(d*g*x+c*g),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{p}}{{\left(b f x + a f\right)} {\left(d g x + c g\right)}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^p/((b*f*x + a*f)*(d*g*x + c*g)), x)","F",0
236,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^p/(a*c*f+(a*d+b*c)*f*x+b*d*f*x^2),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{p}}{b d f x^{2} + a c f + {\left(b c + a d\right)} f x}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^p/(b*d*f*x^2 + a*c*f + (b*c + a*d)*f*x), x)","F",0
237,1,38,0,0.177165," ","integrate(1/(b*x+a)/(d*x+c)/(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\frac{\log\left(B n \log\left(b x + a\right) - B n \log\left(d x + c\right) + A + B\right)}{B b c n - B a d n}"," ",0,"log(B*n*log(b*x + a) - B*n*log(d*x + c) + A + B)/(B*b*c*n - B*a*d*n)","A",0
238,1,42,0,0.239178," ","integrate(1/(b*f*x+a*f)/(d*g*x+c*g)/(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\frac{\log\left(B n \log\left(b x + a\right) - B n \log\left(d x + c\right) + A + B\right)}{B b c f g n - B a d f g n}"," ",0,"log(B*n*log(b*x + a) - B*n*log(d*x + c) + A + B)/(B*b*c*f*g*n - B*a*d*f*g*n)","A",0
239,1,40,0,0.172521," ","integrate(1/(a*c*f+(a*d+b*c)*f*x+b*d*f*x^2)/(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\frac{\log\left(B n \log\left(b x + a\right) - B n \log\left(d x + c\right) + A + B\right)}{B b c f n - B a d f n}"," ",0,"log(B*n*log(b*x + a) - B*n*log(d*x + c) + A + B)/(B*b*c*f*n - B*a*d*f*n)","A",0
240,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-2-m)/log(e*(b*x+a)^n/((d*x+c)^n)),x, algorithm=""giac"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 2}}{\log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^(-m - 2)/log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
241,-1,0,0,0.000000," ","integrate((b*x+a)^3/(d*x+c)^5/log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
242,-1,0,0,0.000000," ","integrate((b*x+a)^2/(d*x+c)^4/log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
243,-1,0,0,0.000000," ","integrate((b*x+a)/(d*x+c)^3/log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
244,-1,0,0,0.000000," ","integrate(1/(d*x+c)^2/log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
245,1,82,0,0.518759," ","integrate(1/(b*x+a)/(d*x+c)/log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""giac"")","\frac{{\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)} \log\left(\frac{1}{4} \, \pi^{2} {\left(\mathrm{sgn}\left(b x + a\right) \mathrm{sgn}\left(d x + c\right) - 1\right)}^{2} n^{2} + {\left(n \log\left(\frac{{\left| b x + a \right|}}{{\left| d x + c \right|}}\right) + 1\right)}^{2}\right)}{2 \, n}"," ",0,"1/2*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)*log(1/4*pi^2*(sgn(b*x + a)*sgn(d*x + c) - 1)^2*n^2 + (n*log(abs(b*x + a)/abs(d*x + c)) + 1)^2)/n","B",0
246,-1,0,0,0.000000," ","integrate(1/(b*x+a)^2/log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
247,-1,0,0,0.000000," ","integrate((d*x+c)/(b*x+a)^3/log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,-1,0,0,0.000000," ","integrate((d*x+c)^2/(b*x+a)^4/log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^4/(g*x+f)/(b*h*x+a*h),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{4}}{{\left(b h x + a h\right)} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^4/((b*h*x + a*h)*(g*x + f)), x)","F",0
250,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(g*x+f)/(b*h*x+a*h),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{3}}{{\left(b h x + a h\right)} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/((b*h*x + a*h)*(g*x + f)), x)","F",0
251,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(g*x+f)/(b*h*x+a*h),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{2}}{{\left(b h x + a h\right)} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/((b*h*x + a*h)*(g*x + f)), x)","F",0
252,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(g*x+f)/(b*h*x+a*h),x, algorithm=""giac"")","\int \frac{B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A}{{\left(b h x + a h\right)} {\left(g x + f\right)}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)/((b*h*x + a*h)*(g*x + f)), x)","F",0
253,0,0,0,0.000000," ","integrate(1/(g*x+f)/(b*h*x+a*h)/(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\int \frac{1}{{\left(b h x + a h\right)} {\left(g x + f\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((b*h*x + a*h)*(g*x + f)*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)), x)","F",0
254,0,0,0,0.000000," ","integrate(1/(g*x+f)/(b*h*x+a*h)/(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b h x + a h\right)} {\left(g x + f\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*h*x + a*h)*(g*x + f)*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2), x)","F",0
255,-1,0,0,0.000000," ","integrate(log((d*x+c)/(b*x+a))/(b*x+a)/((a-c)*h+(b-d)*h*x),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
256,-1,0,0,0.000000," ","integrate(log((a-c*g+(-d*g+b)*x)/(b*x+a))/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
257,-1,0,0,0.000000," ","integrate(log(1-g*(d*x+c)/(b*x+a))/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate(log((-d*g*x+b*x-c*g+a)/(b*x+a))/(b*x+a)/(d*x+c),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(a*f*h+b*g*h*x^2+h*(a*g*x+b*f*x)),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{3}}{b g h x^{2} + a f h + {\left(b f x + a g x\right)} h}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/(b*g*h*x^2 + a*f*h + (b*f*x + a*g*x)*h), x)","F",0
260,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(a*f*h+b*g*h*x^2+h*(a*g*x+b*f*x)),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{2}}{b g h x^{2} + a f h + {\left(b f x + a g x\right)} h}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/(b*g*h*x^2 + a*f*h + (b*f*x + a*g*x)*h), x)","F",0
261,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(a*f*h+b*g*h*x^2+h*(a*g*x+b*f*x)),x, algorithm=""giac"")","\int \frac{B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A}{b g h x^{2} + a f h + {\left(b f x + a g x\right)} h}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)/(b*g*h*x^2 + a*f*h + (b*f*x + a*g*x)*h), x)","F",0
262,0,0,0,0.000000," ","integrate(1/(a*f*h+b*g*h*x^2+h*(a*g*x+b*f*x))/(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\int \frac{1}{{\left(b g h x^{2} + a f h + {\left(b f x + a g x\right)} h\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((b*g*h*x^2 + a*f*h + (b*f*x + a*g*x)*h)*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)), x)","F",0
263,0,0,0,0.000000," ","integrate(1/(a*f*h+b*g*h*x^2+h*(a*g*x+b*f*x))/(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g h x^{2} + a f h + {\left(b f x + a g x\right)} h\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*h*x^2 + a*f*h + (b*f*x + a*g*x)*h)*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2), x)","F",0
