1,1,4392,0,6.200624," ","integrate((b*g*x+a*g)^4*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{60} \, {\left(\frac{12 \, {\left(B b^{10} c^{6} g^{4} n - 6 \, B a b^{9} c^{5} d g^{4} n - \frac{5 \, {\left(b x + a\right)} B b^{9} c^{6} d g^{4} n}{d x + c} + 15 \, B a^{2} b^{8} c^{4} d^{2} g^{4} n + \frac{30 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g^{4} n}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g^{4} n}{{\left(d x + c\right)}^{2}} - 20 \, B a^{3} b^{7} c^{3} d^{3} g^{4} n - \frac{75 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g^{4} n}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} B b^{7} c^{6} d^{3} g^{4} n}{{\left(d x + c\right)}^{3}} + 15 \, B a^{4} b^{6} c^{2} d^{4} g^{4} n + \frac{100 \, {\left(b x + a\right)} B a^{3} b^{6} c^{3} d^{4} g^{4} n}{d x + c} + \frac{150 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{4} d^{4} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x + a\right)}^{3} B a b^{6} c^{5} d^{4} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} B b^{6} c^{6} d^{4} g^{4} n}{{\left(d x + c\right)}^{4}} - 6 \, B a^{5} b^{5} c d^{5} g^{4} n - \frac{75 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g^{4} n}{d x + c} - \frac{200 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{150 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{4} d^{5} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{30 \, {\left(b x + a\right)}^{4} B a b^{5} c^{5} d^{5} g^{4} n}{{\left(d x + c\right)}^{4}} + B a^{6} b^{4} d^{6} g^{4} n + \frac{30 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g^{4} n}{d x + c} + \frac{150 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{200 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{3} d^{6} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{75 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{4} d^{6} g^{4} n}{{\left(d x + c\right)}^{4}} - \frac{5 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g^{4} n}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c d^{7} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{150 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} c^{2} d^{7} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{100 \, {\left(b x + a\right)}^{4} B a^{3} b^{3} c^{3} d^{7} g^{4} n}{{\left(d x + c\right)}^{4}} + \frac{10 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} d^{8} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} c d^{8} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{75 \, {\left(b x + a\right)}^{4} B a^{4} b^{2} c^{2} d^{8} g^{4} n}{{\left(d x + c\right)}^{4}} - \frac{10 \, {\left(b x + a\right)}^{3} B a^{6} b d^{9} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{30 \, {\left(b x + a\right)}^{4} B a^{5} b c d^{9} g^{4} n}{{\left(d x + c\right)}^{4}} + \frac{5 \, {\left(b x + a\right)}^{4} B a^{6} d^{10} g^{4} n}{{\left(d x + c\right)}^{4}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{5} d^{5} - \frac{5 \, {\left(b x + a\right)} b^{4} d^{6}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{3} d^{7}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{2} d^{8}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b d^{9}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} d^{10}}{{\left(d x + c\right)}^{5}}} + \frac{25 \, B b^{10} c^{6} g^{4} n - 150 \, B a b^{9} c^{5} d g^{4} n - \frac{113 \, {\left(b x + a\right)} B b^{9} c^{6} d g^{4} n}{d x + c} + 375 \, B a^{2} b^{8} c^{4} d^{2} g^{4} n + \frac{678 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g^{4} n}{d x + c} + \frac{196 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g^{4} n}{{\left(d x + c\right)}^{2}} - 500 \, B a^{3} b^{7} c^{3} d^{3} g^{4} n - \frac{1695 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g^{4} n}{d x + c} - \frac{1176 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{156 \, {\left(b x + a\right)}^{3} B b^{7} c^{6} d^{3} g^{4} n}{{\left(d x + c\right)}^{3}} + 375 \, B a^{4} b^{6} c^{2} d^{4} g^{4} n + \frac{2260 \, {\left(b x + a\right)} B a^{3} b^{6} c^{3} d^{4} g^{4} n}{d x + c} + \frac{2940 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{4} d^{4} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{936 \, {\left(b x + a\right)}^{3} B a b^{6} c^{5} d^{4} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{48 \, {\left(b x + a\right)}^{4} B b^{6} c^{6} d^{4} g^{4} n}{{\left(d x + c\right)}^{4}} - 150 \, B a^{5} b^{5} c d^{5} g^{4} n - \frac{1695 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g^{4} n}{d x + c} - \frac{3920 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{2340 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{4} d^{5} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{288 \, {\left(b x + a\right)}^{4} B a b^{5} c^{5} d^{5} g^{4} n}{{\left(d x + c\right)}^{4}} + 25 \, B a^{6} b^{4} d^{6} g^{4} n + \frac{678 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g^{4} n}{d x + c} + \frac{2940 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{3120 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{3} d^{6} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{720 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{4} d^{6} g^{4} n}{{\left(d x + c\right)}^{4}} - \frac{113 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g^{4} n}{d x + c} - \frac{1176 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c d^{7} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{2340 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} c^{2} d^{7} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{960 \, {\left(b x + a\right)}^{4} B a^{3} b^{3} c^{3} d^{7} g^{4} n}{{\left(d x + c\right)}^{4}} + \frac{196 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} d^{8} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{936 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} c d^{8} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{720 \, {\left(b x + a\right)}^{4} B a^{4} b^{2} c^{2} d^{8} g^{4} n}{{\left(d x + c\right)}^{4}} - \frac{156 \, {\left(b x + a\right)}^{3} B a^{6} b d^{9} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{288 \, {\left(b x + a\right)}^{4} B a^{5} b c d^{9} g^{4} n}{{\left(d x + c\right)}^{4}} + \frac{48 \, {\left(b x + a\right)}^{4} B a^{6} d^{10} g^{4} n}{{\left(d x + c\right)}^{4}} + 12 \, A b^{10} c^{6} g^{4} + 12 \, B b^{10} c^{6} g^{4} - 72 \, A a b^{9} c^{5} d g^{4} - 72 \, B a b^{9} c^{5} d g^{4} - \frac{60 \, {\left(b x + a\right)} A b^{9} c^{6} d g^{4}}{d x + c} - \frac{60 \, {\left(b x + a\right)} B b^{9} c^{6} d g^{4}}{d x + c} + 180 \, A a^{2} b^{8} c^{4} d^{2} g^{4} + 180 \, B a^{2} b^{8} c^{4} d^{2} g^{4} + \frac{360 \, {\left(b x + a\right)} A a b^{8} c^{5} d^{2} g^{4}}{d x + c} + \frac{360 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g^{4}}{d x + c} + \frac{120 \, {\left(b x + a\right)}^{2} A b^{8} c^{6} d^{2} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g^{4}}{{\left(d x + c\right)}^{2}} - 240 \, A a^{3} b^{7} c^{3} d^{3} g^{4} - 240 \, B a^{3} b^{7} c^{3} d^{3} g^{4} - \frac{900 \, {\left(b x + a\right)} A a^{2} b^{7} c^{4} d^{3} g^{4}}{d x + c} - \frac{900 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g^{4}}{d x + c} - \frac{720 \, {\left(b x + a\right)}^{2} A a b^{7} c^{5} d^{3} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{720 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{3} A b^{7} c^{6} d^{3} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x + a\right)}^{3} B b^{7} c^{6} d^{3} g^{4}}{{\left(d x + c\right)}^{3}} + 180 \, A a^{4} b^{6} c^{2} d^{4} g^{4} + 180 \, B a^{4} b^{6} c^{2} d^{4} g^{4} + \frac{1200 \, {\left(b x + a\right)} A a^{3} b^{6} c^{3} d^{4} g^{4}}{d x + c} + \frac{1200 \, {\left(b x + a\right)} B a^{3} b^{6} c^{3} d^{4} g^{4}}{d x + c} + \frac{1800 \, {\left(b x + a\right)}^{2} A a^{2} b^{6} c^{4} d^{4} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{1800 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{4} d^{4} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{720 \, {\left(b x + a\right)}^{3} A a b^{6} c^{5} d^{4} g^{4}}{{\left(d x + c\right)}^{3}} + \frac{720 \, {\left(b x + a\right)}^{3} B a b^{6} c^{5} d^{4} g^{4}}{{\left(d x + c\right)}^{3}} + \frac{60 \, {\left(b x + a\right)}^{4} A b^{6} c^{6} d^{4} g^{4}}{{\left(d x + c\right)}^{4}} + \frac{60 \, {\left(b x + a\right)}^{4} B b^{6} c^{6} d^{4} g^{4}}{{\left(d x + c\right)}^{4}} - 72 \, A a^{5} b^{5} c d^{5} g^{4} - 72 \, B a^{5} b^{5} c d^{5} g^{4} - \frac{900 \, {\left(b x + a\right)} A a^{4} b^{5} c^{2} d^{5} g^{4}}{d x + c} - \frac{900 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g^{4}}{d x + c} - \frac{2400 \, {\left(b x + a\right)}^{2} A a^{3} b^{5} c^{3} d^{5} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{2400 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{1800 \, {\left(b x + a\right)}^{3} A a^{2} b^{5} c^{4} d^{5} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{1800 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{4} d^{5} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x + a\right)}^{4} A a b^{5} c^{5} d^{5} g^{4}}{{\left(d x + c\right)}^{4}} - \frac{360 \, {\left(b x + a\right)}^{4} B a b^{5} c^{5} d^{5} g^{4}}{{\left(d x + c\right)}^{4}} + 12 \, A a^{6} b^{4} d^{6} g^{4} + 12 \, B a^{6} b^{4} d^{6} g^{4} + \frac{360 \, {\left(b x + a\right)} A a^{5} b^{4} c d^{6} g^{4}}{d x + c} + \frac{360 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g^{4}}{d x + c} + \frac{1800 \, {\left(b x + a\right)}^{2} A a^{4} b^{4} c^{2} d^{6} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{1800 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{2400 \, {\left(b x + a\right)}^{3} A a^{3} b^{4} c^{3} d^{6} g^{4}}{{\left(d x + c\right)}^{3}} + \frac{2400 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{3} d^{6} g^{4}}{{\left(d x + c\right)}^{3}} + \frac{900 \, {\left(b x + a\right)}^{4} A a^{2} b^{4} c^{4} d^{6} g^{4}}{{\left(d x + c\right)}^{4}} + \frac{900 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{4} d^{6} g^{4}}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x + a\right)} A a^{6} b^{3} d^{7} g^{4}}{d x + c} - \frac{60 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g^{4}}{d x + c} - \frac{720 \, {\left(b x + a\right)}^{2} A a^{5} b^{3} c d^{7} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{720 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c d^{7} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{1800 \, {\left(b x + a\right)}^{3} A a^{4} b^{3} c^{2} d^{7} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{1800 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} c^{2} d^{7} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{1200 \, {\left(b x + a\right)}^{4} A a^{3} b^{3} c^{3} d^{7} g^{4}}{{\left(d x + c\right)}^{4}} - \frac{1200 \, {\left(b x + a\right)}^{4} B a^{3} b^{3} c^{3} d^{7} g^{4}}{{\left(d x + c\right)}^{4}} + \frac{120 \, {\left(b x + a\right)}^{2} A a^{6} b^{2} d^{8} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} d^{8} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{720 \, {\left(b x + a\right)}^{3} A a^{5} b^{2} c d^{8} g^{4}}{{\left(d x + c\right)}^{3}} + \frac{720 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} c d^{8} g^{4}}{{\left(d x + c\right)}^{3}} + \frac{900 \, {\left(b x + a\right)}^{4} A a^{4} b^{2} c^{2} d^{8} g^{4}}{{\left(d x + c\right)}^{4}} + \frac{900 \, {\left(b x + a\right)}^{4} B a^{4} b^{2} c^{2} d^{8} g^{4}}{{\left(d x + c\right)}^{4}} - \frac{120 \, {\left(b x + a\right)}^{3} A a^{6} b d^{9} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x + a\right)}^{3} B a^{6} b d^{9} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x + a\right)}^{4} A a^{5} b c d^{9} g^{4}}{{\left(d x + c\right)}^{4}} - \frac{360 \, {\left(b x + a\right)}^{4} B a^{5} b c d^{9} g^{4}}{{\left(d x + c\right)}^{4}} + \frac{60 \, {\left(b x + a\right)}^{4} A a^{6} d^{10} g^{4}}{{\left(d x + c\right)}^{4}} + \frac{60 \, {\left(b x + a\right)}^{4} B a^{6} d^{10} g^{4}}{{\left(d x + c\right)}^{4}}}{b^{5} d^{5} - \frac{5 \, {\left(b x + a\right)} b^{4} d^{6}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{3} d^{7}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{2} d^{8}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b d^{9}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} d^{10}}{{\left(d x + c\right)}^{5}}} + \frac{12 \, {\left(B b^{6} c^{6} g^{4} n - 6 \, B a b^{5} c^{5} d g^{4} n + 15 \, B a^{2} b^{4} c^{4} d^{2} g^{4} n - 20 \, B a^{3} b^{3} c^{3} d^{3} g^{4} n + 15 \, B a^{4} b^{2} c^{2} d^{4} g^{4} n - 6 \, B a^{5} b c d^{5} g^{4} n + B a^{6} d^{6} g^{4} n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b d^{5}} - \frac{12 \, {\left(B b^{6} c^{6} g^{4} n - 6 \, B a b^{5} c^{5} d g^{4} n + 15 \, B a^{2} b^{4} c^{4} d^{2} g^{4} n - 20 \, B a^{3} b^{3} c^{3} d^{3} g^{4} n + 15 \, B a^{4} b^{2} c^{2} d^{4} g^{4} n - 6 \, B a^{5} b c d^{5} g^{4} n + B a^{6} d^{6} g^{4} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b d^{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,"1/60*(12*(B*b^10*c^6*g^4*n - 6*B*a*b^9*c^5*d*g^4*n - 5*(b*x + a)*B*b^9*c^6*d*g^4*n/(d*x + c) + 15*B*a^2*b^8*c^4*d^2*g^4*n + 30*(b*x + a)*B*a*b^8*c^5*d^2*g^4*n/(d*x + c) + 10*(b*x + a)^2*B*b^8*c^6*d^2*g^4*n/(d*x + c)^2 - 20*B*a^3*b^7*c^3*d^3*g^4*n - 75*(b*x + a)*B*a^2*b^7*c^4*d^3*g^4*n/(d*x + c) - 60*(b*x + a)^2*B*a*b^7*c^5*d^3*g^4*n/(d*x + c)^2 - 10*(b*x + a)^3*B*b^7*c^6*d^3*g^4*n/(d*x + c)^3 + 15*B*a^4*b^6*c^2*d^4*g^4*n + 100*(b*x + a)*B*a^3*b^6*c^3*d^4*g^4*n/(d*x + c) + 150*(b*x + a)^2*B*a^2*b^6*c^4*d^4*g^4*n/(d*x + c)^2 + 60*(b*x + a)^3*B*a*b^6*c^5*d^4*g^4*n/(d*x + c)^3 + 5*(b*x + a)^4*B*b^6*c^6*d^4*g^4*n/(d*x + c)^4 - 6*B*a^5*b^5*c*d^5*g^4*n - 75*(b*x + a)*B*a^4*b^5*c^2*d^5*g^4*n/(d*x + c) - 200*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g^4*n/(d*x + c)^2 - 150*(b*x + a)^3*B*a^2*b^5*c^4*d^5*g^4*n/(d*x + c)^3 - 30*(b*x + a)^4*B*a*b^5*c^5*d^5*g^4*n/(d*x + c)^4 + B*a^6*b^4*d^6*g^4*n + 30*(b*x + a)*B*a^5*b^4*c*d^6*g^4*n/(d*x + c) + 150*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g^4*n/(d*x + c)^2 + 200*(b*x + a)^3*B*a^3*b^4*c^3*d^6*g^4*n/(d*x + c)^3 + 75*(b*x + a)^4*B*a^2*b^4*c^4*d^6*g^4*n/(d*x + c)^4 - 5*(b*x + a)*B*a^6*b^3*d^7*g^4*n/(d*x + c) - 60*(b*x + a)^2*B*a^5*b^3*c*d^7*g^4*n/(d*x + c)^2 - 150*(b*x + a)^3*B*a^4*b^3*c^2*d^7*g^4*n/(d*x + c)^3 - 100*(b*x + a)^4*B*a^3*b^3*c^3*d^7*g^4*n/(d*x + c)^4 + 10*(b*x + a)^2*B*a^6*b^2*d^8*g^4*n/(d*x + c)^2 + 60*(b*x + a)^3*B*a^5*b^2*c*d^8*g^4*n/(d*x + c)^3 + 75*(b*x + a)^4*B*a^4*b^2*c^2*d^8*g^4*n/(d*x + c)^4 - 10*(b*x + a)^3*B*a^6*b*d^9*g^4*n/(d*x + c)^3 - 30*(b*x + a)^4*B*a^5*b*c*d^9*g^4*n/(d*x + c)^4 + 5*(b*x + a)^4*B*a^6*d^10*g^4*n/(d*x + c)^4)*log((b*x + a)/(d*x + c))/(b^5*d^5 - 5*(b*x + a)*b^4*d^6/(d*x + c) + 10*(b*x + a)^2*b^3*d^7/(d*x + c)^2 - 10*(b*x + a)^3*b^2*d^8/(d*x + c)^3 + 5*(b*x + a)^4*b*d^9/(d*x + c)^4 - (b*x + a)^5*d^10/(d*x + c)^5) + (25*B*b^10*c^6*g^4*n - 150*B*a*b^9*c^5*d*g^4*n - 113*(b*x + a)*B*b^9*c^6*d*g^4*n/(d*x + c) + 375*B*a^2*b^8*c^4*d^2*g^4*n + 678*(b*x + a)*B*a*b^8*c^5*d^2*g^4*n/(d*x + c) + 196*(b*x + a)^2*B*b^8*c^6*d^2*g^4*n/(d*x + c)^2 - 500*B*a^3*b^7*c^3*d^3*g^4*n - 1695*(b*x + a)*B*a^2*b^7*c^4*d^3*g^4*n/(d*x + c) - 1176*(b*x + a)^2*B*a*b^7*c^5*d^3*g^4*n/(d*x + c)^2 - 156*(b*x + a)^3*B*b^7*c^6*d^3*g^4*n/(d*x + c)^3 + 375*B*a^4*b^6*c^2*d^4*g^4*n + 2260*(b*x + a)*B*a^3*b^6*c^3*d^4*g^4*n/(d*x + c) + 2940*(b*x + a)^2*B*a^2*b^6*c^4*d^4*g^4*n/(d*x + c)^2 + 936*(b*x + a)^3*B*a*b^6*c^5*d^4*g^4*n/(d*x + c)^3 + 48*(b*x + a)^4*B*b^6*c^6*d^4*g^4*n/(d*x + c)^4 - 150*B*a^5*b^5*c*d^5*g^4*n - 1695*(b*x + a)*B*a^4*b^5*c^2*d^5*g^4*n/(d*x + c) - 3920*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g^4*n/(d*x + c)^2 - 2340*(b*x + a)^3*B*a^2*b^5*c^4*d^5*g^4*n/(d*x + c)^3 - 288*(b*x + a)^4*B*a*b^5*c^5*d^5*g^4*n/(d*x + c)^4 + 25*B*a^6*b^4*d^6*g^4*n + 678*(b*x + a)*B*a^5*b^4*c*d^6*g^4*n/(d*x + c) + 2940*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g^4*n/(d*x + c)^2 + 3120*(b*x + a)^3*B*a^3*b^4*c^3*d^6*g^4*n/(d*x + c)^3 + 720*(b*x + a)^4*B*a^2*b^4*c^4*d^6*g^4*n/(d*x + c)^4 - 113*(b*x + a)*B*a^6*b^3*d^7*g^4*n/(d*x + c) - 1176*(b*x + a)^2*B*a^5*b^3*c*d^7*g^4*n/(d*x + c)^2 - 2340*(b*x + a)^3*B*a^4*b^3*c^2*d^7*g^4*n/(d*x + c)^3 - 960*(b*x + a)^4*B*a^3*b^3*c^3*d^7*g^4*n/(d*x + c)^4 + 196*(b*x + a)^2*B*a^6*b^2*d^8*g^4*n/(d*x + c)^2 + 936*(b*x + a)^3*B*a^5*b^2*c*d^8*g^4*n/(d*x + c)^3 + 720*(b*x + a)^4*B*a^4*b^2*c^2*d^8*g^4*n/(d*x + c)^4 - 156*(b*x + a)^3*B*a^6*b*d^9*g^4*n/(d*x + c)^3 - 288*(b*x + a)^4*B*a^5*b*c*d^9*g^4*n/(d*x + c)^4 + 48*(b*x + a)^4*B*a^6*d^10*g^4*n/(d*x + c)^4 + 12*A*b^10*c^6*g^4 + 12*B*b^10*c^6*g^4 - 72*A*a*b^9*c^5*d*g^4 - 72*B*a*b^9*c^5*d*g^4 - 60*(b*x + a)*A*b^9*c^6*d*g^4/(d*x + c) - 60*(b*x + a)*B*b^9*c^6*d*g^4/(d*x + c) + 180*A*a^2*b^8*c^4*d^2*g^4 + 180*B*a^2*b^8*c^4*d^2*g^4 + 360*(b*x + a)*A*a*b^8*c^5*d^2*g^4/(d*x + c) + 360*(b*x + a)*B*a*b^8*c^5*d^2*g^4/(d*x + c) + 120*(b*x + a)^2*A*b^8*c^6*d^2*g^4/(d*x + c)^2 + 120*(b*x + a)^2*B*b^8*c^6*d^2*g^4/(d*x + c)^2 - 240*A*a^3*b^7*c^3*d^3*g^4 - 240*B*a^3*b^7*c^3*d^3*g^4 - 900*(b*x + a)*A*a^2*b^7*c^4*d^3*g^4/(d*x + c) - 900*(b*x + a)*B*a^2*b^7*c^4*d^3*g^4/(d*x + c) - 720*(b*x + a)^2*A*a*b^7*c^5*d^3*g^4/(d*x + c)^2 - 720*(b*x + a)^2*B*a*b^7*c^5*d^3*g^4/(d*x + c)^2 - 120*(b*x + a)^3*A*b^7*c^6*d^3*g^4/(d*x + c)^3 - 120*(b*x + a)^3*B*b^7*c^6*d^3*g^4/(d*x + c)^3 + 180*A*a^4*b^6*c^2*d^4*g^4 + 180*B*a^4*b^6*c^2*d^4*g^4 + 1200*(b*x + a)*A*a^3*b^6*c^3*d^4*g^4/(d*x + c) + 1200*(b*x + a)*B*a^3*b^6*c^3*d^4*g^4/(d*x + c) + 1800*(b*x + a)^2*A*a^2*b^6*c^4*d^4*g^4/(d*x + c)^2 + 1800*(b*x + a)^2*B*a^2*b^6*c^4*d^4*g^4/(d*x + c)^2 + 720*(b*x + a)^3*A*a*b^6*c^5*d^4*g^4/(d*x + c)^3 + 720*(b*x + a)^3*B*a*b^6*c^5*d^4*g^4/(d*x + c)^3 + 60*(b*x + a)^4*A*b^6*c^6*d^4*g^4/(d*x + c)^4 + 60*(b*x + a)^4*B*b^6*c^6*d^4*g^4/(d*x + c)^4 - 72*A*a^5*b^5*c*d^5*g^4 - 72*B*a^5*b^5*c*d^5*g^4 - 900*(b*x + a)*A*a^4*b^5*c^2*d^5*g^4/(d*x + c) - 900*(b*x + a)*B*a^4*b^5*c^2*d^5*g^4/(d*x + c) - 2400*(b*x + a)^2*A*a^3*b^5*c^3*d^5*g^4/(d*x + c)^2 - 2400*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g^4/(d*x + c)^2 - 1800*(b*x + a)^3*A*a^2*b^5*c^4*d^5*g^4/(d*x + c)^3 - 1800*(b*x + a)^3*B*a^2*b^5*c^4*d^5*g^4/(d*x + c)^3 - 360*(b*x + a)^4*A*a*b^5*c^5*d^5*g^4/(d*x + c)^4 - 360*(b*x + a)^4*B*a*b^5*c^5*d^5*g^4/(d*x + c)^4 + 12*A*a^6*b^4*d^6*g^4 + 12*B*a^6*b^4*d^6*g^4 + 360*(b*x + a)*A*a^5*b^4*c*d^6*g^4/(d*x + c) + 360*(b*x + a)*B*a^5*b^4*c*d^6*g^4/(d*x + c) + 1800*(b*x + a)^2*A*a^4*b^4*c^2*d^6*g^4/(d*x + c)^2 + 1800*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g^4/(d*x + c)^2 + 2400*(b*x + a)^3*A*a^3*b^4*c^3*d^6*g^4/(d*x + c)^3 + 2400*(b*x + a)^3*B*a^3*b^4*c^3*d^6*g^4/(d*x + c)^3 + 900*(b*x + a)^4*A*a^2*b^4*c^4*d^6*g^4/(d*x + c)^4 + 900*(b*x + a)^4*B*a^2*b^4*c^4*d^6*g^4/(d*x + c)^4 - 60*(b*x + a)*A*a^6*b^3*d^7*g^4/(d*x + c) - 60*(b*x + a)*B*a^6*b^3*d^7*g^4/(d*x + c) - 720*(b*x + a)^2*A*a^5*b^3*c*d^7*g^4/(d*x + c)^2 - 720*(b*x + a)^2*B*a^5*b^3*c*d^7*g^4/(d*x + c)^2 - 1800*(b*x + a)^3*A*a^4*b^3*c^2*d^7*g^4/(d*x + c)^3 - 1800*(b*x + a)^3*B*a^4*b^3*c^2*d^7*g^4/(d*x + c)^3 - 1200*(b*x + a)^4*A*a^3*b^3*c^3*d^7*g^4/(d*x + c)^4 - 1200*(b*x + a)^4*B*a^3*b^3*c^3*d^7*g^4/(d*x + c)^4 + 120*(b*x + a)^2*A*a^6*b^2*d^8*g^4/(d*x + c)^2 + 120*(b*x + a)^2*B*a^6*b^2*d^8*g^4/(d*x + c)^2 + 720*(b*x + a)^3*A*a^5*b^2*c*d^8*g^4/(d*x + c)^3 + 720*(b*x + a)^3*B*a^5*b^2*c*d^8*g^4/(d*x + c)^3 + 900*(b*x + a)^4*A*a^4*b^2*c^2*d^8*g^4/(d*x + c)^4 + 900*(b*x + a)^4*B*a^4*b^2*c^2*d^8*g^4/(d*x + c)^4 - 120*(b*x + a)^3*A*a^6*b*d^9*g^4/(d*x + c)^3 - 120*(b*x + a)^3*B*a^6*b*d^9*g^4/(d*x + c)^3 - 360*(b*x + a)^4*A*a^5*b*c*d^9*g^4/(d*x + c)^4 - 360*(b*x + a)^4*B*a^5*b*c*d^9*g^4/(d*x + c)^4 + 60*(b*x + a)^4*A*a^6*d^10*g^4/(d*x + c)^4 + 60*(b*x + a)^4*B*a^6*d^10*g^4/(d*x + c)^4)/(b^5*d^5 - 5*(b*x + a)*b^4*d^6/(d*x + c) + 10*(b*x + a)^2*b^3*d^7/(d*x + c)^2 - 10*(b*x + a)^3*b^2*d^8/(d*x + c)^3 + 5*(b*x + a)^4*b*d^9/(d*x + c)^4 - (b*x + a)^5*d^10/(d*x + c)^5) + 12*(B*b^6*c^6*g^4*n - 6*B*a*b^5*c^5*d*g^4*n + 15*B*a^2*b^4*c^4*d^2*g^4*n - 20*B*a^3*b^3*c^3*d^3*g^4*n + 15*B*a^4*b^2*c^2*d^4*g^4*n - 6*B*a^5*b*c*d^5*g^4*n + B*a^6*d^6*g^4*n)*log(b - (b*x + a)*d/(d*x + c))/(b*d^5) - 12*(B*b^6*c^6*g^4*n - 6*B*a*b^5*c^5*d*g^4*n + 15*B*a^2*b^4*c^4*d^2*g^4*n - 20*B*a^3*b^3*c^3*d^3*g^4*n + 15*B*a^4*b^2*c^2*d^4*g^4*n - 6*B*a^5*b*c*d^5*g^4*n + B*a^6*d^6*g^4*n)*log((b*x + a)/(d*x + c))/(b*d^5))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
2,1,2986,0,4.412127," ","integrate((b*g*x+a*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","-\frac{1}{24} \, {\left(\frac{6 \, {\left(B b^{8} c^{5} g^{3} n - 5 \, B a b^{7} c^{4} d g^{3} n - \frac{4 \, {\left(b x + a\right)} B b^{7} c^{5} d g^{3} n}{d x + c} + 10 \, B a^{2} b^{6} c^{3} d^{2} g^{3} n + \frac{20 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} g^{3} n}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B b^{6} c^{5} d^{2} g^{3} n}{{\left(d x + c\right)}^{2}} - 10 \, B a^{3} b^{5} c^{2} d^{3} g^{3} n - \frac{40 \, {\left(b x + a\right)} B a^{2} b^{5} c^{3} d^{3} g^{3} n}{d x + c} - \frac{30 \, {\left(b x + a\right)}^{2} B a b^{5} c^{4} d^{3} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} B b^{5} c^{5} d^{3} g^{3} n}{{\left(d x + c\right)}^{3}} + 5 \, B a^{4} b^{4} c d^{4} g^{3} n + \frac{40 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} g^{3} n}{d x + c} + \frac{60 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{3} d^{4} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x + a\right)}^{3} B a b^{4} c^{4} d^{4} g^{3} n}{{\left(d x + c\right)}^{3}} - B a^{5} b^{3} d^{5} g^{3} n - \frac{20 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} g^{3} n}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{2} d^{5} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{40 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{3} d^{5} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{4 \, {\left(b x + a\right)} B a^{5} b^{2} d^{6} g^{3} n}{d x + c} + \frac{30 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} c d^{6} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{40 \, {\left(b x + a\right)}^{3} B a^{3} b^{2} c^{2} d^{6} g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{5} b d^{7} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x + a\right)}^{3} B a^{4} b c d^{7} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{4 \, {\left(b x + a\right)}^{3} B a^{5} d^{8} g^{3} n}{{\left(d x + c\right)}^{3}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{4} d^{4} - \frac{4 \, {\left(b x + a\right)} b^{3} d^{5}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b^{2} d^{6}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b d^{7}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{4} d^{8}}{{\left(d x + c\right)}^{4}}} + \frac{11 \, B b^{8} c^{5} g^{3} n - 55 \, B a b^{7} c^{4} d g^{3} n - \frac{38 \, {\left(b x + a\right)} B b^{7} c^{5} d g^{3} n}{d x + c} + 110 \, B a^{2} b^{6} c^{3} d^{2} g^{3} n + \frac{190 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} g^{3} n}{d x + c} + \frac{45 \, {\left(b x + a\right)}^{2} B b^{6} c^{5} d^{2} g^{3} n}{{\left(d x + c\right)}^{2}} - 110 \, B a^{3} b^{5} c^{2} d^{3} g^{3} n - \frac{380 \, {\left(b x + a\right)} B a^{2} b^{5} c^{3} d^{3} g^{3} n}{d x + c} - \frac{225 \, {\left(b x + a\right)}^{2} B a b^{5} c^{4} d^{3} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{18 \, {\left(b x + a\right)}^{3} B b^{5} c^{5} d^{3} g^{3} n}{{\left(d x + c\right)}^{3}} + 55 \, B a^{4} b^{4} c d^{4} g^{3} n + \frac{380 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} g^{3} n}{d x + c} + \frac{450 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{3} d^{4} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{90 \, {\left(b x + a\right)}^{3} B a b^{4} c^{4} d^{4} g^{3} n}{{\left(d x + c\right)}^{3}} - 11 \, B a^{5} b^{3} d^{5} g^{3} n - \frac{190 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} g^{3} n}{d x + c} - \frac{450 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{2} d^{5} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{180 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{3} d^{5} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{38 \, {\left(b x + a\right)} B a^{5} b^{2} d^{6} g^{3} n}{d x + c} + \frac{225 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} c d^{6} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{180 \, {\left(b x + a\right)}^{3} B a^{3} b^{2} c^{2} d^{6} g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{45 \, {\left(b x + a\right)}^{2} B a^{5} b d^{7} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{90 \, {\left(b x + a\right)}^{3} B a^{4} b c d^{7} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{18 \, {\left(b x + a\right)}^{3} B a^{5} d^{8} g^{3} n}{{\left(d x + c\right)}^{3}} + 6 \, A b^{8} c^{5} g^{3} + 6 \, B b^{8} c^{5} g^{3} - 30 \, A a b^{7} c^{4} d g^{3} - 30 \, B a b^{7} c^{4} d g^{3} - \frac{24 \, {\left(b x + a\right)} A b^{7} c^{5} d g^{3}}{d x + c} - \frac{24 \, {\left(b x + a\right)} B b^{7} c^{5} d g^{3}}{d x + c} + 60 \, A a^{2} b^{6} c^{3} d^{2} g^{3} + 60 \, B a^{2} b^{6} c^{3} d^{2} g^{3} + \frac{120 \, {\left(b x + a\right)} A a b^{6} c^{4} d^{2} g^{3}}{d x + c} + \frac{120 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} g^{3}}{d x + c} + \frac{36 \, {\left(b x + a\right)}^{2} A b^{6} c^{5} d^{2} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x + a\right)}^{2} B b^{6} c^{5} d^{2} g^{3}}{{\left(d x + c\right)}^{2}} - 60 \, A a^{3} b^{5} c^{2} d^{3} g^{3} - 60 \, B a^{3} b^{5} c^{2} d^{3} g^{3} - \frac{240 \, {\left(b x + a\right)} A a^{2} b^{5} c^{3} d^{3} g^{3}}{d x + c} - \frac{240 \, {\left(b x + a\right)} B a^{2} b^{5} c^{3} d^{3} g^{3}}{d x + c} - \frac{180 \, {\left(b x + a\right)}^{2} A a b^{5} c^{4} d^{3} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{180 \, {\left(b x + a\right)}^{2} B a b^{5} c^{4} d^{3} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x + a\right)}^{3} A b^{5} c^{5} d^{3} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{24 \, {\left(b x + a\right)}^{3} B b^{5} c^{5} d^{3} g^{3}}{{\left(d x + c\right)}^{3}} + 30 \, A a^{4} b^{4} c d^{4} g^{3} + 30 \, B a^{4} b^{4} c d^{4} g^{3} + \frac{240 \, {\left(b x + a\right)} A a^{3} b^{4} c^{2} d^{4} g^{3}}{d x + c} + \frac{240 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} g^{3}}{d x + c} + \frac{360 \, {\left(b x + a\right)}^{2} A a^{2} b^{4} c^{3} d^{4} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{3} d^{4} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{3} A a b^{4} c^{4} d^{4} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x + a\right)}^{3} B a b^{4} c^{4} d^{4} g^{3}}{{\left(d x + c\right)}^{3}} - 6 \, A a^{5} b^{3} d^{5} g^{3} - 6 \, B a^{5} b^{3} d^{5} g^{3} - \frac{120 \, {\left(b x + a\right)} A a^{4} b^{3} c d^{5} g^{3}}{d x + c} - \frac{120 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} g^{3}}{d x + c} - \frac{360 \, {\left(b x + a\right)}^{2} A a^{3} b^{3} c^{2} d^{5} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{2} d^{5} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{240 \, {\left(b x + a\right)}^{3} A a^{2} b^{3} c^{3} d^{5} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{240 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{3} d^{5} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x + a\right)} A a^{5} b^{2} d^{6} g^{3}}{d x + c} + \frac{24 \, {\left(b x + a\right)} B a^{5} b^{2} d^{6} g^{3}}{d x + c} + \frac{180 \, {\left(b x + a\right)}^{2} A a^{4} b^{2} c d^{6} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{180 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} c d^{6} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{240 \, {\left(b x + a\right)}^{3} A a^{3} b^{2} c^{2} d^{6} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x + a\right)}^{3} B a^{3} b^{2} c^{2} d^{6} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{36 \, {\left(b x + a\right)}^{2} A a^{5} b d^{7} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x + a\right)}^{2} B a^{5} b d^{7} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{3} A a^{4} b c d^{7} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x + a\right)}^{3} B a^{4} b c d^{7} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x + a\right)}^{3} A a^{5} d^{8} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x + a\right)}^{3} B a^{5} d^{8} g^{3}}{{\left(d x + c\right)}^{3}}}{b^{4} d^{4} - \frac{4 \, {\left(b x + a\right)} b^{3} d^{5}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b^{2} d^{6}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b d^{7}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{4} d^{8}}{{\left(d x + c\right)}^{4}}} + \frac{6 \, {\left(B b^{5} c^{5} g^{3} n - 5 \, B a b^{4} c^{4} d g^{3} n + 10 \, B a^{2} b^{3} c^{3} d^{2} g^{3} n - 10 \, B a^{3} b^{2} c^{2} d^{3} g^{3} n + 5 \, B a^{4} b c d^{4} g^{3} n - B a^{5} d^{5} g^{3} n\right)} \log\left(-b + \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b d^{4}} - \frac{6 \, {\left(B b^{5} c^{5} g^{3} n - 5 \, B a b^{4} c^{4} d g^{3} n + 10 \, B a^{2} b^{3} c^{3} d^{2} g^{3} n - 10 \, B a^{3} b^{2} c^{2} d^{3} g^{3} n + 5 \, B a^{4} b c d^{4} g^{3} n - B a^{5} d^{5} g^{3} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b 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,"-1/24*(6*(B*b^8*c^5*g^3*n - 5*B*a*b^7*c^4*d*g^3*n - 4*(b*x + a)*B*b^7*c^5*d*g^3*n/(d*x + c) + 10*B*a^2*b^6*c^3*d^2*g^3*n + 20*(b*x + a)*B*a*b^6*c^4*d^2*g^3*n/(d*x + c) + 6*(b*x + a)^2*B*b^6*c^5*d^2*g^3*n/(d*x + c)^2 - 10*B*a^3*b^5*c^2*d^3*g^3*n - 40*(b*x + a)*B*a^2*b^5*c^3*d^3*g^3*n/(d*x + c) - 30*(b*x + a)^2*B*a*b^5*c^4*d^3*g^3*n/(d*x + c)^2 - 4*(b*x + a)^3*B*b^5*c^5*d^3*g^3*n/(d*x + c)^3 + 5*B*a^4*b^4*c*d^4*g^3*n + 40*(b*x + a)*B*a^3*b^4*c^2*d^4*g^3*n/(d*x + c) + 60*(b*x + a)^2*B*a^2*b^4*c^3*d^4*g^3*n/(d*x + c)^2 + 20*(b*x + a)^3*B*a*b^4*c^4*d^4*g^3*n/(d*x + c)^3 - B*a^5*b^3*d^5*g^3*n - 20*(b*x + a)*B*a^4*b^3*c*d^5*g^3*n/(d*x + c) - 60*(b*x + a)^2*B*a^3*b^3*c^2*d^5*g^3*n/(d*x + c)^2 - 40*(b*x + a)^3*B*a^2*b^3*c^3*d^5*g^3*n/(d*x + c)^3 + 4*(b*x + a)*B*a^5*b^2*d^6*g^3*n/(d*x + c) + 30*(b*x + a)^2*B*a^4*b^2*c*d^6*g^3*n/(d*x + c)^2 + 40*(b*x + a)^3*B*a^3*b^2*c^2*d^6*g^3*n/(d*x + c)^3 - 6*(b*x + a)^2*B*a^5*b*d^7*g^3*n/(d*x + c)^2 - 20*(b*x + a)^3*B*a^4*b*c*d^7*g^3*n/(d*x + c)^3 + 4*(b*x + a)^3*B*a^5*d^8*g^3*n/(d*x + c)^3)*log((b*x + a)/(d*x + c))/(b^4*d^4 - 4*(b*x + a)*b^3*d^5/(d*x + c) + 6*(b*x + a)^2*b^2*d^6/(d*x + c)^2 - 4*(b*x + a)^3*b*d^7/(d*x + c)^3 + (b*x + a)^4*d^8/(d*x + c)^4) + (11*B*b^8*c^5*g^3*n - 55*B*a*b^7*c^4*d*g^3*n - 38*(b*x + a)*B*b^7*c^5*d*g^3*n/(d*x + c) + 110*B*a^2*b^6*c^3*d^2*g^3*n + 190*(b*x + a)*B*a*b^6*c^4*d^2*g^3*n/(d*x + c) + 45*(b*x + a)^2*B*b^6*c^5*d^2*g^3*n/(d*x + c)^2 - 110*B*a^3*b^5*c^2*d^3*g^3*n - 380*(b*x + a)*B*a^2*b^5*c^3*d^3*g^3*n/(d*x + c) - 225*(b*x + a)^2*B*a*b^5*c^4*d^3*g^3*n/(d*x + c)^2 - 18*(b*x + a)^3*B*b^5*c^5*d^3*g^3*n/(d*x + c)^3 + 55*B*a^4*b^4*c*d^4*g^3*n + 380*(b*x + a)*B*a^3*b^4*c^2*d^4*g^3*n/(d*x + c) + 450*(b*x + a)^2*B*a^2*b^4*c^3*d^4*g^3*n/(d*x + c)^2 + 90*(b*x + a)^3*B*a*b^4*c^4*d^4*g^3*n/(d*x + c)^3 - 11*B*a^5*b^3*d^5*g^3*n - 190*(b*x + a)*B*a^4*b^3*c*d^5*g^3*n/(d*x + c) - 450*(b*x + a)^2*B*a^3*b^3*c^2*d^5*g^3*n/(d*x + c)^2 - 180*(b*x + a)^3*B*a^2*b^3*c^3*d^5*g^3*n/(d*x + c)^3 + 38*(b*x + a)*B*a^5*b^2*d^6*g^3*n/(d*x + c) + 225*(b*x + a)^2*B*a^4*b^2*c*d^6*g^3*n/(d*x + c)^2 + 180*(b*x + a)^3*B*a^3*b^2*c^2*d^6*g^3*n/(d*x + c)^3 - 45*(b*x + a)^2*B*a^5*b*d^7*g^3*n/(d*x + c)^2 - 90*(b*x + a)^3*B*a^4*b*c*d^7*g^3*n/(d*x + c)^3 + 18*(b*x + a)^3*B*a^5*d^8*g^3*n/(d*x + c)^3 + 6*A*b^8*c^5*g^3 + 6*B*b^8*c^5*g^3 - 30*A*a*b^7*c^4*d*g^3 - 30*B*a*b^7*c^4*d*g^3 - 24*(b*x + a)*A*b^7*c^5*d*g^3/(d*x + c) - 24*(b*x + a)*B*b^7*c^5*d*g^3/(d*x + c) + 60*A*a^2*b^6*c^3*d^2*g^3 + 60*B*a^2*b^6*c^3*d^2*g^3 + 120*(b*x + a)*A*a*b^6*c^4*d^2*g^3/(d*x + c) + 120*(b*x + a)*B*a*b^6*c^4*d^2*g^3/(d*x + c) + 36*(b*x + a)^2*A*b^6*c^5*d^2*g^3/(d*x + c)^2 + 36*(b*x + a)^2*B*b^6*c^5*d^2*g^3/(d*x + c)^2 - 60*A*a^3*b^5*c^2*d^3*g^3 - 60*B*a^3*b^5*c^2*d^3*g^3 - 240*(b*x + a)*A*a^2*b^5*c^3*d^3*g^3/(d*x + c) - 240*(b*x + a)*B*a^2*b^5*c^3*d^3*g^3/(d*x + c) - 180*(b*x + a)^2*A*a*b^5*c^4*d^3*g^3/(d*x + c)^2 - 180*(b*x + a)^2*B*a*b^5*c^4*d^3*g^3/(d*x + c)^2 - 24*(b*x + a)^3*A*b^5*c^5*d^3*g^3/(d*x + c)^3 - 24*(b*x + a)^3*B*b^5*c^5*d^3*g^3/(d*x + c)^3 + 30*A*a^4*b^4*c*d^4*g^3 + 30*B*a^4*b^4*c*d^4*g^3 + 240*(b*x + a)*A*a^3*b^4*c^2*d^4*g^3/(d*x + c) + 240*(b*x + a)*B*a^3*b^4*c^2*d^4*g^3/(d*x + c) + 360*(b*x + a)^2*A*a^2*b^4*c^3*d^4*g^3/(d*x + c)^2 + 360*(b*x + a)^2*B*a^2*b^4*c^3*d^4*g^3/(d*x + c)^2 + 120*(b*x + a)^3*A*a*b^4*c^4*d^4*g^3/(d*x + c)^3 + 120*(b*x + a)^3*B*a*b^4*c^4*d^4*g^3/(d*x + c)^3 - 6*A*a^5*b^3*d^5*g^3 - 6*B*a^5*b^3*d^5*g^3 - 120*(b*x + a)*A*a^4*b^3*c*d^5*g^3/(d*x + c) - 120*(b*x + a)*B*a^4*b^3*c*d^5*g^3/(d*x + c) - 360*(b*x + a)^2*A*a^3*b^3*c^2*d^5*g^3/(d*x + c)^2 - 360*(b*x + a)^2*B*a^3*b^3*c^2*d^5*g^3/(d*x + c)^2 - 240*(b*x + a)^3*A*a^2*b^3*c^3*d^5*g^3/(d*x + c)^3 - 240*(b*x + a)^3*B*a^2*b^3*c^3*d^5*g^3/(d*x + c)^3 + 24*(b*x + a)*A*a^5*b^2*d^6*g^3/(d*x + c) + 24*(b*x + a)*B*a^5*b^2*d^6*g^3/(d*x + c) + 180*(b*x + a)^2*A*a^4*b^2*c*d^6*g^3/(d*x + c)^2 + 180*(b*x + a)^2*B*a^4*b^2*c*d^6*g^3/(d*x + c)^2 + 240*(b*x + a)^3*A*a^3*b^2*c^2*d^6*g^3/(d*x + c)^3 + 240*(b*x + a)^3*B*a^3*b^2*c^2*d^6*g^3/(d*x + c)^3 - 36*(b*x + a)^2*A*a^5*b*d^7*g^3/(d*x + c)^2 - 36*(b*x + a)^2*B*a^5*b*d^7*g^3/(d*x + c)^2 - 120*(b*x + a)^3*A*a^4*b*c*d^7*g^3/(d*x + c)^3 - 120*(b*x + a)^3*B*a^4*b*c*d^7*g^3/(d*x + c)^3 + 24*(b*x + a)^3*A*a^5*d^8*g^3/(d*x + c)^3 + 24*(b*x + a)^3*B*a^5*d^8*g^3/(d*x + c)^3)/(b^4*d^4 - 4*(b*x + a)*b^3*d^5/(d*x + c) + 6*(b*x + a)^2*b^2*d^6/(d*x + c)^2 - 4*(b*x + a)^3*b*d^7/(d*x + c)^3 + (b*x + a)^4*d^8/(d*x + c)^4) + 6*(B*b^5*c^5*g^3*n - 5*B*a*b^4*c^4*d*g^3*n + 10*B*a^2*b^3*c^3*d^2*g^3*n - 10*B*a^3*b^2*c^2*d^3*g^3*n + 5*B*a^4*b*c*d^4*g^3*n - B*a^5*d^5*g^3*n)*log(-b + (b*x + a)*d/(d*x + c))/(b*d^4) - 6*(B*b^5*c^5*g^3*n - 5*B*a*b^4*c^4*d*g^3*n + 10*B*a^2*b^3*c^3*d^2*g^3*n - 10*B*a^3*b^2*c^2*d^3*g^3*n + 5*B*a^4*b*c*d^4*g^3*n - B*a^5*d^5*g^3*n)*log((b*x + a)/(d*x + c))/(b*d^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
3,1,1836,0,2.291517," ","integrate((b*g*x+a*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{6} \, {\left(\frac{2 \, {\left(B b^{6} c^{4} g^{2} n - 4 \, B a b^{5} c^{3} d g^{2} n - \frac{3 \, {\left(b x + a\right)} B b^{5} c^{4} d g^{2} n}{d x + c} + 6 \, B a^{2} b^{4} c^{2} d^{2} g^{2} n + \frac{12 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} g^{2} n}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} B b^{4} c^{4} d^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - 4 \, B a^{3} b^{3} c d^{3} g^{2} n - \frac{18 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} g^{2} n}{d x + c} - \frac{12 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{3} g^{2} n}{{\left(d x + c\right)}^{2}} + B a^{4} b^{2} d^{4} g^{2} n + \frac{12 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} g^{2} n}{d x + c} + \frac{18 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{4} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{3 \, {\left(b x + a\right)} B a^{4} b d^{5} g^{2} n}{d x + c} - \frac{12 \, {\left(b x + a\right)}^{2} B a^{3} b c d^{5} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{3 \, {\left(b x + a\right)}^{2} B a^{4} d^{6} g^{2} n}{{\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{3} d^{3} - \frac{3 \, {\left(b x + a\right)} b^{2} d^{4}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} b d^{5}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} d^{6}}{{\left(d x + c\right)}^{3}}} + \frac{3 \, B b^{6} c^{4} g^{2} n - 12 \, B a b^{5} c^{3} d g^{2} n - \frac{7 \, {\left(b x + a\right)} B b^{5} c^{4} d g^{2} n}{d x + c} + 18 \, B a^{2} b^{4} c^{2} d^{2} g^{2} n + \frac{28 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} g^{2} n}{d x + c} + \frac{4 \, {\left(b x + a\right)}^{2} B b^{4} c^{4} d^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - 12 \, B a^{3} b^{3} c d^{3} g^{2} n - \frac{42 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} g^{2} n}{d x + c} - \frac{16 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{3} g^{2} n}{{\left(d x + c\right)}^{2}} + 3 \, B a^{4} b^{2} d^{4} g^{2} n + \frac{28 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} g^{2} n}{d x + c} + \frac{24 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{4} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{7 \, {\left(b x + a\right)} B a^{4} b d^{5} g^{2} n}{d x + c} - \frac{16 \, {\left(b x + a\right)}^{2} B a^{3} b c d^{5} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x + a\right)}^{2} B a^{4} d^{6} g^{2} n}{{\left(d x + c\right)}^{2}} + 2 \, A b^{6} c^{4} g^{2} + 2 \, B b^{6} c^{4} g^{2} - 8 \, A a b^{5} c^{3} d g^{2} - 8 \, B a b^{5} c^{3} d g^{2} - \frac{6 \, {\left(b x + a\right)} A b^{5} c^{4} d g^{2}}{d x + c} - \frac{6 \, {\left(b x + a\right)} B b^{5} c^{4} d g^{2}}{d x + c} + 12 \, A a^{2} b^{4} c^{2} d^{2} g^{2} + 12 \, B a^{2} b^{4} c^{2} d^{2} g^{2} + \frac{24 \, {\left(b x + a\right)} A a b^{4} c^{3} d^{2} g^{2}}{d x + c} + \frac{24 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} g^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} A b^{4} c^{4} d^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} B b^{4} c^{4} d^{2} g^{2}}{{\left(d x + c\right)}^{2}} - 8 \, A a^{3} b^{3} c d^{3} g^{2} - 8 \, B a^{3} b^{3} c d^{3} g^{2} - \frac{36 \, {\left(b x + a\right)} A a^{2} b^{3} c^{2} d^{3} g^{2}}{d x + c} - \frac{36 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} g^{2}}{d x + c} - \frac{24 \, {\left(b x + a\right)}^{2} A a b^{3} c^{3} d^{3} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{3} g^{2}}{{\left(d x + c\right)}^{2}} + 2 \, A a^{4} b^{2} d^{4} g^{2} + 2 \, B a^{4} b^{2} d^{4} g^{2} + \frac{24 \, {\left(b x + a\right)} A a^{3} b^{2} c d^{4} g^{2}}{d x + c} + \frac{24 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} g^{2}}{d x + c} + \frac{36 \, {\left(b x + a\right)}^{2} A a^{2} b^{2} c^{2} d^{4} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{4} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)} A a^{4} b d^{5} g^{2}}{d x + c} - \frac{6 \, {\left(b x + a\right)} B a^{4} b d^{5} g^{2}}{d x + c} - \frac{24 \, {\left(b x + a\right)}^{2} A a^{3} b c d^{5} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x + a\right)}^{2} B a^{3} b c d^{5} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} A a^{4} d^{6} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} B a^{4} d^{6} g^{2}}{{\left(d x + c\right)}^{2}}}{b^{3} d^{3} - \frac{3 \, {\left(b x + a\right)} b^{2} d^{4}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} b d^{5}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} d^{6}}{{\left(d x + c\right)}^{3}}} + \frac{2 \, {\left(B b^{4} c^{4} g^{2} n - 4 \, B a b^{3} c^{3} d g^{2} n + 6 \, B a^{2} b^{2} c^{2} d^{2} g^{2} n - 4 \, B a^{3} b c d^{3} g^{2} n + B a^{4} d^{4} g^{2} n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b d^{3}} - \frac{2 \, {\left(B b^{4} c^{4} g^{2} n - 4 \, B a b^{3} c^{3} d g^{2} n + 6 \, B a^{2} b^{2} c^{2} d^{2} g^{2} n - 4 \, B a^{3} b c d^{3} g^{2} n + B a^{4} d^{4} g^{2} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b 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,"1/6*(2*(B*b^6*c^4*g^2*n - 4*B*a*b^5*c^3*d*g^2*n - 3*(b*x + a)*B*b^5*c^4*d*g^2*n/(d*x + c) + 6*B*a^2*b^4*c^2*d^2*g^2*n + 12*(b*x + a)*B*a*b^4*c^3*d^2*g^2*n/(d*x + c) + 3*(b*x + a)^2*B*b^4*c^4*d^2*g^2*n/(d*x + c)^2 - 4*B*a^3*b^3*c*d^3*g^2*n - 18*(b*x + a)*B*a^2*b^3*c^2*d^3*g^2*n/(d*x + c) - 12*(b*x + a)^2*B*a*b^3*c^3*d^3*g^2*n/(d*x + c)^2 + B*a^4*b^2*d^4*g^2*n + 12*(b*x + a)*B*a^3*b^2*c*d^4*g^2*n/(d*x + c) + 18*(b*x + a)^2*B*a^2*b^2*c^2*d^4*g^2*n/(d*x + c)^2 - 3*(b*x + a)*B*a^4*b*d^5*g^2*n/(d*x + c) - 12*(b*x + a)^2*B*a^3*b*c*d^5*g^2*n/(d*x + c)^2 + 3*(b*x + a)^2*B*a^4*d^6*g^2*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/(b^3*d^3 - 3*(b*x + a)*b^2*d^4/(d*x + c) + 3*(b*x + a)^2*b*d^5/(d*x + c)^2 - (b*x + a)^3*d^6/(d*x + c)^3) + (3*B*b^6*c^4*g^2*n - 12*B*a*b^5*c^3*d*g^2*n - 7*(b*x + a)*B*b^5*c^4*d*g^2*n/(d*x + c) + 18*B*a^2*b^4*c^2*d^2*g^2*n + 28*(b*x + a)*B*a*b^4*c^3*d^2*g^2*n/(d*x + c) + 4*(b*x + a)^2*B*b^4*c^4*d^2*g^2*n/(d*x + c)^2 - 12*B*a^3*b^3*c*d^3*g^2*n - 42*(b*x + a)*B*a^2*b^3*c^2*d^3*g^2*n/(d*x + c) - 16*(b*x + a)^2*B*a*b^3*c^3*d^3*g^2*n/(d*x + c)^2 + 3*B*a^4*b^2*d^4*g^2*n + 28*(b*x + a)*B*a^3*b^2*c*d^4*g^2*n/(d*x + c) + 24*(b*x + a)^2*B*a^2*b^2*c^2*d^4*g^2*n/(d*x + c)^2 - 7*(b*x + a)*B*a^4*b*d^5*g^2*n/(d*x + c) - 16*(b*x + a)^2*B*a^3*b*c*d^5*g^2*n/(d*x + c)^2 + 4*(b*x + a)^2*B*a^4*d^6*g^2*n/(d*x + c)^2 + 2*A*b^6*c^4*g^2 + 2*B*b^6*c^4*g^2 - 8*A*a*b^5*c^3*d*g^2 - 8*B*a*b^5*c^3*d*g^2 - 6*(b*x + a)*A*b^5*c^4*d*g^2/(d*x + c) - 6*(b*x + a)*B*b^5*c^4*d*g^2/(d*x + c) + 12*A*a^2*b^4*c^2*d^2*g^2 + 12*B*a^2*b^4*c^2*d^2*g^2 + 24*(b*x + a)*A*a*b^4*c^3*d^2*g^2/(d*x + c) + 24*(b*x + a)*B*a*b^4*c^3*d^2*g^2/(d*x + c) + 6*(b*x + a)^2*A*b^4*c^4*d^2*g^2/(d*x + c)^2 + 6*(b*x + a)^2*B*b^4*c^4*d^2*g^2/(d*x + c)^2 - 8*A*a^3*b^3*c*d^3*g^2 - 8*B*a^3*b^3*c*d^3*g^2 - 36*(b*x + a)*A*a^2*b^3*c^2*d^3*g^2/(d*x + c) - 36*(b*x + a)*B*a^2*b^3*c^2*d^3*g^2/(d*x + c) - 24*(b*x + a)^2*A*a*b^3*c^3*d^3*g^2/(d*x + c)^2 - 24*(b*x + a)^2*B*a*b^3*c^3*d^3*g^2/(d*x + c)^2 + 2*A*a^4*b^2*d^4*g^2 + 2*B*a^4*b^2*d^4*g^2 + 24*(b*x + a)*A*a^3*b^2*c*d^4*g^2/(d*x + c) + 24*(b*x + a)*B*a^3*b^2*c*d^4*g^2/(d*x + c) + 36*(b*x + a)^2*A*a^2*b^2*c^2*d^4*g^2/(d*x + c)^2 + 36*(b*x + a)^2*B*a^2*b^2*c^2*d^4*g^2/(d*x + c)^2 - 6*(b*x + a)*A*a^4*b*d^5*g^2/(d*x + c) - 6*(b*x + a)*B*a^4*b*d^5*g^2/(d*x + c) - 24*(b*x + a)^2*A*a^3*b*c*d^5*g^2/(d*x + c)^2 - 24*(b*x + a)^2*B*a^3*b*c*d^5*g^2/(d*x + c)^2 + 6*(b*x + a)^2*A*a^4*d^6*g^2/(d*x + c)^2 + 6*(b*x + a)^2*B*a^4*d^6*g^2/(d*x + c)^2)/(b^3*d^3 - 3*(b*x + a)*b^2*d^4/(d*x + c) + 3*(b*x + a)^2*b*d^5/(d*x + c)^2 - (b*x + a)^3*d^6/(d*x + c)^3) + 2*(B*b^4*c^4*g^2*n - 4*B*a*b^3*c^3*d*g^2*n + 6*B*a^2*b^2*c^2*d^2*g^2*n - 4*B*a^3*b*c*d^3*g^2*n + B*a^4*d^4*g^2*n)*log(b - (b*x + a)*d/(d*x + c))/(b*d^3) - 2*(B*b^4*c^4*g^2*n - 4*B*a*b^3*c^3*d*g^2*n + 6*B*a^2*b^2*c^2*d^2*g^2*n - 4*B*a^3*b*c*d^3*g^2*n + B*a^4*d^4*g^2*n)*log((b*x + a)/(d*x + c))/(b*d^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
4,1,864,0,1.241188," ","integrate((b*g*x+a*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\frac{{\left(B b^{4} c^{3} g n - 3 \, B a b^{3} c^{2} d g n - \frac{2 \, {\left(b x + a\right)} B b^{3} c^{3} d g n}{d x + c} + 3 \, B a^{2} b^{2} c d^{2} g n + \frac{6 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{2} g n}{d x + c} - B a^{3} b d^{3} g n - \frac{6 \, {\left(b x + a\right)} B a^{2} b c d^{3} g n}{d x + c} + \frac{2 \, {\left(b x + a\right)} B a^{3} d^{4} g n}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} d^{2} - \frac{2 \, {\left(b x + a\right)} b d^{3}}{d x + c} + \frac{{\left(b x + a\right)}^{2} d^{4}}{{\left(d x + c\right)}^{2}}} + \frac{B b^{4} c^{3} g n - 3 \, B a b^{3} c^{2} d g n - \frac{{\left(b x + a\right)} B b^{3} c^{3} d g n}{d x + c} + 3 \, B a^{2} b^{2} c d^{2} g n + \frac{3 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{2} g n}{d x + c} - B a^{3} b d^{3} g n - \frac{3 \, {\left(b x + a\right)} B a^{2} b c d^{3} g n}{d x + c} + \frac{{\left(b x + a\right)} B a^{3} d^{4} g n}{d x + c} + A b^{4} c^{3} g + B b^{4} c^{3} g - 3 \, A a b^{3} c^{2} d g - 3 \, B a b^{3} c^{2} d g - \frac{2 \, {\left(b x + a\right)} A b^{3} c^{3} d g}{d x + c} - \frac{2 \, {\left(b x + a\right)} B b^{3} c^{3} d g}{d x + c} + 3 \, A a^{2} b^{2} c d^{2} g + 3 \, B a^{2} b^{2} c d^{2} g + \frac{6 \, {\left(b x + a\right)} A a b^{2} c^{2} d^{2} g}{d x + c} + \frac{6 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{2} g}{d x + c} - A a^{3} b d^{3} g - B a^{3} b d^{3} g - \frac{6 \, {\left(b x + a\right)} A a^{2} b c d^{3} g}{d x + c} - \frac{6 \, {\left(b x + a\right)} B a^{2} b c d^{3} g}{d x + c} + \frac{2 \, {\left(b x + a\right)} A a^{3} d^{4} g}{d x + c} + \frac{2 \, {\left(b x + a\right)} B a^{3} d^{4} g}{d x + c}}{b^{2} d^{2} - \frac{2 \, {\left(b x + a\right)} b d^{3}}{d x + c} + \frac{{\left(b x + a\right)}^{2} d^{4}}{{\left(d x + c\right)}^{2}}} + \frac{{\left(B b^{3} c^{3} g n - 3 \, B a b^{2} c^{2} d g n + 3 \, B a^{2} b c d^{2} g n - B a^{3} d^{3} g n\right)} \log\left(-b + \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b d^{2}} - \frac{{\left(B b^{3} c^{3} g n - 3 \, B a b^{2} c^{2} d g n + 3 \, B a^{2} b c d^{2} g n - B a^{3} d^{3} g n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b 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,"-1/2*((B*b^4*c^3*g*n - 3*B*a*b^3*c^2*d*g*n - 2*(b*x + a)*B*b^3*c^3*d*g*n/(d*x + c) + 3*B*a^2*b^2*c*d^2*g*n + 6*(b*x + a)*B*a*b^2*c^2*d^2*g*n/(d*x + c) - B*a^3*b*d^3*g*n - 6*(b*x + a)*B*a^2*b*c*d^3*g*n/(d*x + c) + 2*(b*x + a)*B*a^3*d^4*g*n/(d*x + c))*log((b*x + a)/(d*x + c))/(b^2*d^2 - 2*(b*x + a)*b*d^3/(d*x + c) + (b*x + a)^2*d^4/(d*x + c)^2) + (B*b^4*c^3*g*n - 3*B*a*b^3*c^2*d*g*n - (b*x + a)*B*b^3*c^3*d*g*n/(d*x + c) + 3*B*a^2*b^2*c*d^2*g*n + 3*(b*x + a)*B*a*b^2*c^2*d^2*g*n/(d*x + c) - B*a^3*b*d^3*g*n - 3*(b*x + a)*B*a^2*b*c*d^3*g*n/(d*x + c) + (b*x + a)*B*a^3*d^4*g*n/(d*x + c) + A*b^4*c^3*g + B*b^4*c^3*g - 3*A*a*b^3*c^2*d*g - 3*B*a*b^3*c^2*d*g - 2*(b*x + a)*A*b^3*c^3*d*g/(d*x + c) - 2*(b*x + a)*B*b^3*c^3*d*g/(d*x + c) + 3*A*a^2*b^2*c*d^2*g + 3*B*a^2*b^2*c*d^2*g + 6*(b*x + a)*A*a*b^2*c^2*d^2*g/(d*x + c) + 6*(b*x + a)*B*a*b^2*c^2*d^2*g/(d*x + c) - A*a^3*b*d^3*g - B*a^3*b*d^3*g - 6*(b*x + a)*A*a^2*b*c*d^3*g/(d*x + c) - 6*(b*x + a)*B*a^2*b*c*d^3*g/(d*x + c) + 2*(b*x + a)*A*a^3*d^4*g/(d*x + c) + 2*(b*x + a)*B*a^3*d^4*g/(d*x + c))/(b^2*d^2 - 2*(b*x + a)*b*d^3/(d*x + c) + (b*x + a)^2*d^4/(d*x + c)^2) + (B*b^3*c^3*g*n - 3*B*a*b^2*c^2*d*g*n + 3*B*a^2*b*c*d^2*g*n - B*a^3*d^3*g*n)*log(-b + (b*x + a)*d/(d*x + c))/(b*d^2) - (B*b^3*c^3*g*n - 3*B*a*b^2*c^2*d*g*n + 3*B*a^2*b*c*d^2*g*n - B*a^3*d^3*g*n)*log((b*x + a)/(d*x + c))/(b*d^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
5,-1,0,0,0.000000," ","integrate((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
6,1,85,0,2.913544," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^2,x, algorithm=""giac"")","-{\left(\frac{{\left(d x + c\right)} B n \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b x + a\right)} g^{2}} + \frac{{\left(B n + A + B\right)} {\left(d x + c\right)}}{{\left(b x + a\right)} g^{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,"-((d*x + c)*B*n*log((b*x + a)/(d*x + c))/((b*x + a)*g^2) + (B*n + A + B)*(d*x + c)/((b*x + a)*g^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
7,1,220,0,4.801146," ","integrate((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(B b n - \frac{2 \, {\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)}^{2} b c g^{3}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{2} a d g^{3}}{{\left(d x + c\right)}^{2}}} + \frac{B b n - \frac{4 \, {\left(b x + a\right)} B d n}{d x + c} + 2 \, A b + 2 \, B b - \frac{4 \, {\left(b x + a\right)} A d}{d x + c} - \frac{4 \, {\left(b x + a\right)} B d}{d x + c}}{\frac{{\left(b x + a\right)}^{2} b c g^{3}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{2} a d g^{3}}{{\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*b*n - 2*(b*x + a)*B*d*n/(d*x + c))*log((b*x + a)/(d*x + c))/((b*x + a)^2*b*c*g^3/(d*x + c)^2 - (b*x + a)^2*a*d*g^3/(d*x + c)^2) + (B*b*n - 4*(b*x + a)*B*d*n/(d*x + c) + 2*A*b + 2*B*b - 4*(b*x + a)*A*d/(d*x + c) - 4*(b*x + a)*B*d/(d*x + c))/((b*x + a)^2*b*c*g^3/(d*x + c)^2 - (b*x + a)^2*a*d*g^3/(d*x + c)^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
8,1,375,0,5.217592," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{1}{18} \, {\left(\frac{6 \, {\left(B b^{2} n - \frac{3 \, {\left(b x + a\right)} B b d n}{d x + c} + \frac{3 \, {\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)}^{3} b^{2} c^{2} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x + a\right)}^{3} a b c d g^{4}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{3} a^{2} d^{2} g^{4}}{{\left(d x + c\right)}^{3}}} + \frac{2 \, B b^{2} n - \frac{9 \, {\left(b x + a\right)} B b d n}{d x + c} + \frac{18 \, {\left(b x + a\right)}^{2} B d^{2} n}{{\left(d x + c\right)}^{2}} + 6 \, A b^{2} + 6 \, B b^{2} - \frac{18 \, {\left(b x + a\right)} A b d}{d x + c} - \frac{18 \, {\left(b x + a\right)} B b d}{d x + c} + \frac{18 \, {\left(b x + a\right)}^{2} A d^{2}}{{\left(d x + c\right)}^{2}} + \frac{18 \, {\left(b x + a\right)}^{2} B d^{2}}{{\left(d x + c\right)}^{2}}}{\frac{{\left(b x + a\right)}^{3} b^{2} c^{2} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x + a\right)}^{3} a b c d g^{4}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{3} a^{2} d^{2} 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,"-1/18*(6*(B*b^2*n - 3*(b*x + a)*B*b*d*n/(d*x + c) + 3*(b*x + a)^2*B*d^2*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/((b*x + a)^3*b^2*c^2*g^4/(d*x + c)^3 - 2*(b*x + a)^3*a*b*c*d*g^4/(d*x + c)^3 + (b*x + a)^3*a^2*d^2*g^4/(d*x + c)^3) + (2*B*b^2*n - 9*(b*x + a)*B*b*d*n/(d*x + c) + 18*(b*x + a)^2*B*d^2*n/(d*x + c)^2 + 6*A*b^2 + 6*B*b^2 - 18*(b*x + a)*A*b*d/(d*x + c) - 18*(b*x + a)*B*b*d/(d*x + c) + 18*(b*x + a)^2*A*d^2/(d*x + c)^2 + 18*(b*x + a)^2*B*d^2/(d*x + c)^2)/((b*x + a)^3*b^2*c^2*g^4/(d*x + c)^3 - 2*(b*x + a)^3*a*b*c*d*g^4/(d*x + c)^3 + (b*x + a)^3*a^2*d^2*g^4/(d*x + c)^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
9,1,533,0,8.371925," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^5,x, algorithm=""giac"")","-\frac{1}{48} \, {\left(\frac{12 \, {\left(B b^{3} n - \frac{4 \, {\left(b x + a\right)} B b^{2} d n}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B b d^{2} n}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} B d^{3} n}{{\left(d x + c\right)}^{3}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{\frac{{\left(b x + a\right)}^{4} b^{3} c^{3} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{3 \, {\left(b x + a\right)}^{4} a b^{2} c^{2} d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{3 \, {\left(b x + a\right)}^{4} a^{2} b c d^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{4} a^{3} d^{3} g^{5}}{{\left(d x + c\right)}^{4}}} + \frac{3 \, B b^{3} n - \frac{16 \, {\left(b x + a\right)} B b^{2} d n}{d x + c} + \frac{36 \, {\left(b x + a\right)}^{2} B b d^{2} n}{{\left(d x + c\right)}^{2}} - \frac{48 \, {\left(b x + a\right)}^{3} B d^{3} n}{{\left(d x + c\right)}^{3}} + 12 \, A b^{3} + 12 \, B b^{3} - \frac{48 \, {\left(b x + a\right)} A b^{2} d}{d x + c} - \frac{48 \, {\left(b x + a\right)} B b^{2} d}{d x + c} + \frac{72 \, {\left(b x + a\right)}^{2} A b d^{2}}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x + a\right)}^{2} B b d^{2}}{{\left(d x + c\right)}^{2}} - \frac{48 \, {\left(b x + a\right)}^{3} A d^{3}}{{\left(d x + c\right)}^{3}} - \frac{48 \, {\left(b x + a\right)}^{3} B d^{3}}{{\left(d x + c\right)}^{3}}}{\frac{{\left(b x + a\right)}^{4} b^{3} c^{3} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{3 \, {\left(b x + a\right)}^{4} a b^{2} c^{2} d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{3 \, {\left(b x + a\right)}^{4} a^{2} b c d^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{4} a^{3} d^{3} 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,"-1/48*(12*(B*b^3*n - 4*(b*x + a)*B*b^2*d*n/(d*x + c) + 6*(b*x + a)^2*B*b*d^2*n/(d*x + c)^2 - 4*(b*x + a)^3*B*d^3*n/(d*x + c)^3)*log((b*x + a)/(d*x + c))/((b*x + a)^4*b^3*c^3*g^5/(d*x + c)^4 - 3*(b*x + a)^4*a*b^2*c^2*d*g^5/(d*x + c)^4 + 3*(b*x + a)^4*a^2*b*c*d^2*g^5/(d*x + c)^4 - (b*x + a)^4*a^3*d^3*g^5/(d*x + c)^4) + (3*B*b^3*n - 16*(b*x + a)*B*b^2*d*n/(d*x + c) + 36*(b*x + a)^2*B*b*d^2*n/(d*x + c)^2 - 48*(b*x + a)^3*B*d^3*n/(d*x + c)^3 + 12*A*b^3 + 12*B*b^3 - 48*(b*x + a)*A*b^2*d/(d*x + c) - 48*(b*x + a)*B*b^2*d/(d*x + c) + 72*(b*x + a)^2*A*b*d^2/(d*x + c)^2 + 72*(b*x + a)^2*B*b*d^2/(d*x + c)^2 - 48*(b*x + a)^3*A*d^3/(d*x + c)^3 - 48*(b*x + a)^3*B*d^3/(d*x + c)^3)/((b*x + a)^4*b^3*c^3*g^5/(d*x + c)^4 - 3*(b*x + a)^4*a*b^2*c^2*d*g^5/(d*x + c)^4 + 3*(b*x + a)^4*a^2*b*c*d^2*g^5/(d*x + c)^4 - (b*x + a)^4*a^3*d^3*g^5/(d*x + c)^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
10,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^4*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
11,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^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
12,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^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
13,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,-1,0,0,0.000000," ","integrate((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
15,1,163,0,7.357481," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","-{\left(\frac{{\left(d x + c\right)} B^{2} n^{2} \log\left(\frac{b x + a}{d x + c}\right)^{2}}{{\left(b x + a\right)} g^{2}} + \frac{2 \, {\left(B^{2} n^{2} + A B n + B^{2} n\right)} {\left(d x + c\right)} \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b x + a\right)} g^{2}} + \frac{{\left(2 \, B^{2} n^{2} + 2 \, A B n + 2 \, B^{2} n + A^{2} + 2 \, A B + B^{2}\right)} {\left(d x + c\right)}}{{\left(b x + a\right)} g^{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,"-((d*x + c)*B^2*n^2*log((b*x + a)/(d*x + c))^2/((b*x + a)*g^2) + 2*(B^2*n^2 + A*B*n + B^2*n)*(d*x + c)*log((b*x + a)/(d*x + c))/((b*x + a)*g^2) + (2*B^2*n^2 + 2*A*B*n + 2*B^2*n + A^2 + 2*A*B + B^2)*(d*x + c)/((b*x + a)*g^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
16,1,458,0,10.433655," ","integrate((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(B^{2} b n^{2} - \frac{2 \, {\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)}^{2} b c g^{3}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{2} a d g^{3}}{{\left(d x + c\right)}^{2}}} + \frac{2 \, {\left(B^{2} b n^{2} - \frac{4 \, {\left(b x + a\right)} B^{2} d n^{2}}{d x + c} + 2 \, A B b n + 2 \, B^{2} b n - \frac{4 \, {\left(b x + a\right)} A B d n}{d x + c} - \frac{4 \, {\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)}^{2} b c g^{3}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{2} a d g^{3}}{{\left(d x + c\right)}^{2}}} + \frac{B^{2} b n^{2} - \frac{8 \, {\left(b x + a\right)} B^{2} d n^{2}}{d x + c} + 2 \, A B b n + 2 \, B^{2} b n - \frac{8 \, {\left(b x + a\right)} A B d n}{d x + c} - \frac{8 \, {\left(b x + a\right)} B^{2} d n}{d x + c} + 2 \, A^{2} b + 4 \, A B b + 2 \, B^{2} b - \frac{4 \, {\left(b x + a\right)} A^{2} d}{d x + c} - \frac{8 \, {\left(b x + a\right)} A B d}{d x + c} - \frac{4 \, {\left(b x + a\right)} B^{2} d}{d x + c}}{\frac{{\left(b x + a\right)}^{2} b c g^{3}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{2} a d g^{3}}{{\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^2*b*n^2 - 2*(b*x + a)*B^2*d*n^2/(d*x + c))*log((b*x + a)/(d*x + c))^2/((b*x + a)^2*b*c*g^3/(d*x + c)^2 - (b*x + a)^2*a*d*g^3/(d*x + c)^2) + 2*(B^2*b*n^2 - 4*(b*x + a)*B^2*d*n^2/(d*x + c) + 2*A*B*b*n + 2*B^2*b*n - 4*(b*x + a)*A*B*d*n/(d*x + c) - 4*(b*x + a)*B^2*d*n/(d*x + c))*log((b*x + a)/(d*x + c))/((b*x + a)^2*b*c*g^3/(d*x + c)^2 - (b*x + a)^2*a*d*g^3/(d*x + c)^2) + (B^2*b*n^2 - 8*(b*x + a)*B^2*d*n^2/(d*x + c) + 2*A*B*b*n + 2*B^2*b*n - 8*(b*x + a)*A*B*d*n/(d*x + c) - 8*(b*x + a)*B^2*d*n/(d*x + c) + 2*A^2*b + 4*A*B*b + 2*B^2*b - 4*(b*x + a)*A^2*d/(d*x + c) - 8*(b*x + a)*A*B*d/(d*x + c) - 4*(b*x + a)*B^2*d/(d*x + c))/((b*x + a)^2*b*c*g^3/(d*x + c)^2 - (b*x + a)^2*a*d*g^3/(d*x + c)^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
17,1,810,0,13.073547," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{1}{54} \, {\left(\frac{18 \, {\left(B^{2} b^{2} n^{2} - \frac{3 \, {\left(b x + a\right)} B^{2} b d n^{2}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} B^{2} d^{2} 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)}^{3} b^{2} c^{2} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x + a\right)}^{3} a b c d g^{4}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{3} a^{2} d^{2} g^{4}}{{\left(d x + c\right)}^{3}}} + \frac{6 \, {\left(2 \, B^{2} b^{2} n^{2} - \frac{9 \, {\left(b x + a\right)} B^{2} b d n^{2}}{d x + c} + \frac{18 \, {\left(b x + a\right)}^{2} B^{2} d^{2} n^{2}}{{\left(d x + c\right)}^{2}} + 6 \, A B b^{2} n + 6 \, B^{2} b^{2} n - \frac{18 \, {\left(b x + a\right)} A B b d n}{d x + c} - \frac{18 \, {\left(b x + a\right)} B^{2} b d n}{d x + c} + \frac{18 \, {\left(b x + a\right)}^{2} A B d^{2} n}{{\left(d x + c\right)}^{2}} + \frac{18 \, {\left(b x + a\right)}^{2} B^{2} 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)}^{3} b^{2} c^{2} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x + a\right)}^{3} a b c d g^{4}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{3} a^{2} d^{2} g^{4}}{{\left(d x + c\right)}^{3}}} + \frac{4 \, B^{2} b^{2} n^{2} - \frac{27 \, {\left(b x + a\right)} B^{2} b d n^{2}}{d x + c} + \frac{108 \, {\left(b x + a\right)}^{2} B^{2} d^{2} n^{2}}{{\left(d x + c\right)}^{2}} + 12 \, A B b^{2} n + 12 \, B^{2} b^{2} n - \frac{54 \, {\left(b x + a\right)} A B b d n}{d x + c} - \frac{54 \, {\left(b x + a\right)} B^{2} b d n}{d x + c} + \frac{108 \, {\left(b x + a\right)}^{2} A B d^{2} n}{{\left(d x + c\right)}^{2}} + \frac{108 \, {\left(b x + a\right)}^{2} B^{2} d^{2} n}{{\left(d x + c\right)}^{2}} + 18 \, A^{2} b^{2} + 36 \, A B b^{2} + 18 \, B^{2} b^{2} - \frac{54 \, {\left(b x + a\right)} A^{2} b d}{d x + c} - \frac{108 \, {\left(b x + a\right)} A B b d}{d x + c} - \frac{54 \, {\left(b x + a\right)} B^{2} b d}{d x + c} + \frac{54 \, {\left(b x + a\right)}^{2} A^{2} d^{2}}{{\left(d x + c\right)}^{2}} + \frac{108 \, {\left(b x + a\right)}^{2} A B d^{2}}{{\left(d x + c\right)}^{2}} + \frac{54 \, {\left(b x + a\right)}^{2} B^{2} d^{2}}{{\left(d x + c\right)}^{2}}}{\frac{{\left(b x + a\right)}^{3} b^{2} c^{2} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x + a\right)}^{3} a b c d g^{4}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{3} a^{2} d^{2} 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,"-1/54*(18*(B^2*b^2*n^2 - 3*(b*x + a)*B^2*b*d*n^2/(d*x + c) + 3*(b*x + a)^2*B^2*d^2*n^2/(d*x + c)^2)*log((b*x + a)/(d*x + c))^2/((b*x + a)^3*b^2*c^2*g^4/(d*x + c)^3 - 2*(b*x + a)^3*a*b*c*d*g^4/(d*x + c)^3 + (b*x + a)^3*a^2*d^2*g^4/(d*x + c)^3) + 6*(2*B^2*b^2*n^2 - 9*(b*x + a)*B^2*b*d*n^2/(d*x + c) + 18*(b*x + a)^2*B^2*d^2*n^2/(d*x + c)^2 + 6*A*B*b^2*n + 6*B^2*b^2*n - 18*(b*x + a)*A*B*b*d*n/(d*x + c) - 18*(b*x + a)*B^2*b*d*n/(d*x + c) + 18*(b*x + a)^2*A*B*d^2*n/(d*x + c)^2 + 18*(b*x + a)^2*B^2*d^2*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/((b*x + a)^3*b^2*c^2*g^4/(d*x + c)^3 - 2*(b*x + a)^3*a*b*c*d*g^4/(d*x + c)^3 + (b*x + a)^3*a^2*d^2*g^4/(d*x + c)^3) + (4*B^2*b^2*n^2 - 27*(b*x + a)*B^2*b*d*n^2/(d*x + c) + 108*(b*x + a)^2*B^2*d^2*n^2/(d*x + c)^2 + 12*A*B*b^2*n + 12*B^2*b^2*n - 54*(b*x + a)*A*B*b*d*n/(d*x + c) - 54*(b*x + a)*B^2*b*d*n/(d*x + c) + 108*(b*x + a)^2*A*B*d^2*n/(d*x + c)^2 + 108*(b*x + a)^2*B^2*d^2*n/(d*x + c)^2 + 18*A^2*b^2 + 36*A*B*b^2 + 18*B^2*b^2 - 54*(b*x + a)*A^2*b*d/(d*x + c) - 108*(b*x + a)*A*B*b*d/(d*x + c) - 54*(b*x + a)*B^2*b*d/(d*x + c) + 54*(b*x + a)^2*A^2*d^2/(d*x + c)^2 + 108*(b*x + a)^2*A*B*d^2/(d*x + c)^2 + 54*(b*x + a)^2*B^2*d^2/(d*x + c)^2)/((b*x + a)^3*b^2*c^2*g^4/(d*x + c)^3 - 2*(b*x + a)^3*a*b*c*d*g^4/(d*x + c)^3 + (b*x + a)^3*a^2*d^2*g^4/(d*x + c)^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
18,1,1166,0,17.895111," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^5,x, algorithm=""giac"")","-\frac{1}{288} \, {\left(\frac{72 \, {\left(B^{2} b^{3} n^{2} - \frac{4 \, {\left(b x + a\right)} B^{2} b^{2} d n^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B^{2} b d^{2} n^{2}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} B^{2} d^{3} n^{2}}{{\left(d x + c\right)}^{3}}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2}}{\frac{{\left(b x + a\right)}^{4} b^{3} c^{3} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{3 \, {\left(b x + a\right)}^{4} a b^{2} c^{2} d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{3 \, {\left(b x + a\right)}^{4} a^{2} b c d^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{4} a^{3} d^{3} g^{5}}{{\left(d x + c\right)}^{4}}} + \frac{12 \, {\left(3 \, B^{2} b^{3} n^{2} - \frac{16 \, {\left(b x + a\right)} B^{2} b^{2} d n^{2}}{d x + c} + \frac{36 \, {\left(b x + a\right)}^{2} B^{2} b d^{2} n^{2}}{{\left(d x + c\right)}^{2}} - \frac{48 \, {\left(b x + a\right)}^{3} B^{2} d^{3} n^{2}}{{\left(d x + c\right)}^{3}} + 12 \, A B b^{3} n + 12 \, B^{2} b^{3} n - \frac{48 \, {\left(b x + a\right)} A B b^{2} d n}{d x + c} - \frac{48 \, {\left(b x + a\right)} B^{2} b^{2} d n}{d x + c} + \frac{72 \, {\left(b x + a\right)}^{2} A B b d^{2} n}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x + a\right)}^{2} B^{2} b d^{2} n}{{\left(d x + c\right)}^{2}} - \frac{48 \, {\left(b x + a\right)}^{3} A B d^{3} n}{{\left(d x + c\right)}^{3}} - \frac{48 \, {\left(b x + a\right)}^{3} B^{2} d^{3} n}{{\left(d x + c\right)}^{3}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{\frac{{\left(b x + a\right)}^{4} b^{3} c^{3} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{3 \, {\left(b x + a\right)}^{4} a b^{2} c^{2} d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{3 \, {\left(b x + a\right)}^{4} a^{2} b c d^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{4} a^{3} d^{3} g^{5}}{{\left(d x + c\right)}^{4}}} + \frac{9 \, B^{2} b^{3} n^{2} - \frac{64 \, {\left(b x + a\right)} B^{2} b^{2} d n^{2}}{d x + c} + \frac{216 \, {\left(b x + a\right)}^{2} B^{2} b d^{2} n^{2}}{{\left(d x + c\right)}^{2}} - \frac{576 \, {\left(b x + a\right)}^{3} B^{2} d^{3} n^{2}}{{\left(d x + c\right)}^{3}} + 36 \, A B b^{3} n + 36 \, B^{2} b^{3} n - \frac{192 \, {\left(b x + a\right)} A B b^{2} d n}{d x + c} - \frac{192 \, {\left(b x + a\right)} B^{2} b^{2} d n}{d x + c} + \frac{432 \, {\left(b x + a\right)}^{2} A B b d^{2} n}{{\left(d x + c\right)}^{2}} + \frac{432 \, {\left(b x + a\right)}^{2} B^{2} b d^{2} n}{{\left(d x + c\right)}^{2}} - \frac{576 \, {\left(b x + a\right)}^{3} A B d^{3} n}{{\left(d x + c\right)}^{3}} - \frac{576 \, {\left(b x + a\right)}^{3} B^{2} d^{3} n}{{\left(d x + c\right)}^{3}} + 72 \, A^{2} b^{3} + 144 \, A B b^{3} + 72 \, B^{2} b^{3} - \frac{288 \, {\left(b x + a\right)} A^{2} b^{2} d}{d x + c} - \frac{576 \, {\left(b x + a\right)} A B b^{2} d}{d x + c} - \frac{288 \, {\left(b x + a\right)} B^{2} b^{2} d}{d x + c} + \frac{432 \, {\left(b x + a\right)}^{2} A^{2} b d^{2}}{{\left(d x + c\right)}^{2}} + \frac{864 \, {\left(b x + a\right)}^{2} A B b d^{2}}{{\left(d x + c\right)}^{2}} + \frac{432 \, {\left(b x + a\right)}^{2} B^{2} b d^{2}}{{\left(d x + c\right)}^{2}} - \frac{288 \, {\left(b x + a\right)}^{3} A^{2} d^{3}}{{\left(d x + c\right)}^{3}} - \frac{576 \, {\left(b x + a\right)}^{3} A B d^{3}}{{\left(d x + c\right)}^{3}} - \frac{288 \, {\left(b x + a\right)}^{3} B^{2} d^{3}}{{\left(d x + c\right)}^{3}}}{\frac{{\left(b x + a\right)}^{4} b^{3} c^{3} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{3 \, {\left(b x + a\right)}^{4} a b^{2} c^{2} d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{3 \, {\left(b x + a\right)}^{4} a^{2} b c d^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{4} a^{3} d^{3} 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,"-1/288*(72*(B^2*b^3*n^2 - 4*(b*x + a)*B^2*b^2*d*n^2/(d*x + c) + 6*(b*x + a)^2*B^2*b*d^2*n^2/(d*x + c)^2 - 4*(b*x + a)^3*B^2*d^3*n^2/(d*x + c)^3)*log((b*x + a)/(d*x + c))^2/((b*x + a)^4*b^3*c^3*g^5/(d*x + c)^4 - 3*(b*x + a)^4*a*b^2*c^2*d*g^5/(d*x + c)^4 + 3*(b*x + a)^4*a^2*b*c*d^2*g^5/(d*x + c)^4 - (b*x + a)^4*a^3*d^3*g^5/(d*x + c)^4) + 12*(3*B^2*b^3*n^2 - 16*(b*x + a)*B^2*b^2*d*n^2/(d*x + c) + 36*(b*x + a)^2*B^2*b*d^2*n^2/(d*x + c)^2 - 48*(b*x + a)^3*B^2*d^3*n^2/(d*x + c)^3 + 12*A*B*b^3*n + 12*B^2*b^3*n - 48*(b*x + a)*A*B*b^2*d*n/(d*x + c) - 48*(b*x + a)*B^2*b^2*d*n/(d*x + c) + 72*(b*x + a)^2*A*B*b*d^2*n/(d*x + c)^2 + 72*(b*x + a)^2*B^2*b*d^2*n/(d*x + c)^2 - 48*(b*x + a)^3*A*B*d^3*n/(d*x + c)^3 - 48*(b*x + a)^3*B^2*d^3*n/(d*x + c)^3)*log((b*x + a)/(d*x + c))/((b*x + a)^4*b^3*c^3*g^5/(d*x + c)^4 - 3*(b*x + a)^4*a*b^2*c^2*d*g^5/(d*x + c)^4 + 3*(b*x + a)^4*a^2*b*c*d^2*g^5/(d*x + c)^4 - (b*x + a)^4*a^3*d^3*g^5/(d*x + c)^4) + (9*B^2*b^3*n^2 - 64*(b*x + a)*B^2*b^2*d*n^2/(d*x + c) + 216*(b*x + a)^2*B^2*b*d^2*n^2/(d*x + c)^2 - 576*(b*x + a)^3*B^2*d^3*n^2/(d*x + c)^3 + 36*A*B*b^3*n + 36*B^2*b^3*n - 192*(b*x + a)*A*B*b^2*d*n/(d*x + c) - 192*(b*x + a)*B^2*b^2*d*n/(d*x + c) + 432*(b*x + a)^2*A*B*b*d^2*n/(d*x + c)^2 + 432*(b*x + a)^2*B^2*b*d^2*n/(d*x + c)^2 - 576*(b*x + a)^3*A*B*d^3*n/(d*x + c)^3 - 576*(b*x + a)^3*B^2*d^3*n/(d*x + c)^3 + 72*A^2*b^3 + 144*A*B*b^3 + 72*B^2*b^3 - 288*(b*x + a)*A^2*b^2*d/(d*x + c) - 576*(b*x + a)*A*B*b^2*d/(d*x + c) - 288*(b*x + a)*B^2*b^2*d/(d*x + c) + 432*(b*x + a)^2*A^2*b*d^2/(d*x + c)^2 + 864*(b*x + a)^2*A*B*b*d^2/(d*x + c)^2 + 432*(b*x + a)^2*B^2*b*d^2/(d*x + c)^2 - 288*(b*x + a)^3*A^2*d^3/(d*x + c)^3 - 576*(b*x + a)^3*A*B*d^3/(d*x + c)^3 - 288*(b*x + a)^3*B^2*d^3/(d*x + c)^3)/((b*x + a)^4*b^3*c^3*g^5/(d*x + c)^4 - 3*(b*x + a)^4*a*b^2*c^2*d*g^5/(d*x + c)^4 + 3*(b*x + a)^4*a^2*b*c*d^2*g^5/(d*x + c)^4 - (b*x + a)^4*a^3*d^3*g^5/(d*x + c)^4))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
19,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,-1,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,0,0,0,0.000000," ","integrate((b*g*x+a*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{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)^2/(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2, x)","F",0
25,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{b g x + a g}{{\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)/(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2, x)","F",0
26,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)} {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)*(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2), x)","F",0
27,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{2} {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^2*(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2), x)","F",0
28,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{3} {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^3*(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2), x)","F",0
29,1,1862,0,5.993813," ","integrate((d*g*x+c*g)^4*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{60} \, {\left(\frac{12 \, {\left(B b^{6} c^{6} g^{4} n - 6 \, B a b^{5} c^{5} d g^{4} n + 15 \, B a^{2} b^{4} c^{4} d^{2} g^{4} n - 20 \, B a^{3} b^{3} c^{3} d^{3} g^{4} n + 15 \, B a^{4} b^{2} c^{2} d^{4} g^{4} n - 6 \, B a^{5} b c d^{5} g^{4} n + B a^{6} d^{6} g^{4} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{5} d - \frac{5 \, {\left(b x + a\right)} b^{4} d^{2}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{3} d^{3}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{2} d^{4}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b d^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} d^{6}}{{\left(d x + c\right)}^{5}}} - \frac{25 \, B b^{10} c^{6} g^{4} n - 150 \, B a b^{9} c^{5} d g^{4} n - \frac{77 \, {\left(b x + a\right)} B b^{9} c^{6} d g^{4} n}{d x + c} + 375 \, B a^{2} b^{8} c^{4} d^{2} g^{4} n + \frac{462 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g^{4} n}{d x + c} + \frac{94 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g^{4} n}{{\left(d x + c\right)}^{2}} - 500 \, B a^{3} b^{7} c^{3} d^{3} g^{4} n - \frac{1155 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g^{4} n}{d x + c} - \frac{564 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{54 \, {\left(b x + a\right)}^{3} B b^{7} c^{6} d^{3} g^{4} n}{{\left(d x + c\right)}^{3}} + 375 \, B a^{4} b^{6} c^{2} d^{4} g^{4} n + \frac{1540 \, {\left(b x + a\right)} B a^{3} b^{6} c^{3} d^{4} g^{4} n}{d x + c} + \frac{1410 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{4} d^{4} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{324 \, {\left(b x + a\right)}^{3} B a b^{6} c^{5} d^{4} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{12 \, {\left(b x + a\right)}^{4} B b^{6} c^{6} d^{4} g^{4} n}{{\left(d x + c\right)}^{4}} - 150 \, B a^{5} b^{5} c d^{5} g^{4} n - \frac{1155 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g^{4} n}{d x + c} - \frac{1880 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{810 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{4} d^{5} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x + a\right)}^{4} B a b^{5} c^{5} d^{5} g^{4} n}{{\left(d x + c\right)}^{4}} + 25 \, B a^{6} b^{4} d^{6} g^{4} n + \frac{462 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g^{4} n}{d x + c} + \frac{1410 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{1080 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{3} d^{6} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{180 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{4} d^{6} g^{4} n}{{\left(d x + c\right)}^{4}} - \frac{77 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g^{4} n}{d x + c} - \frac{564 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c d^{7} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{810 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} c^{2} d^{7} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{240 \, {\left(b x + a\right)}^{4} B a^{3} b^{3} c^{3} d^{7} g^{4} n}{{\left(d x + c\right)}^{4}} + \frac{94 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} d^{8} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{324 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} c d^{8} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{180 \, {\left(b x + a\right)}^{4} B a^{4} b^{2} c^{2} d^{8} g^{4} n}{{\left(d x + c\right)}^{4}} - \frac{54 \, {\left(b x + a\right)}^{3} B a^{6} b d^{9} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x + a\right)}^{4} B a^{5} b c d^{9} g^{4} n}{{\left(d x + c\right)}^{4}} + \frac{12 \, {\left(b x + a\right)}^{4} B a^{6} d^{10} g^{4} n}{{\left(d x + c\right)}^{4}} - 12 \, A b^{10} c^{6} g^{4} - 12 \, B b^{10} c^{6} g^{4} + 72 \, A a b^{9} c^{5} d g^{4} + 72 \, B a b^{9} c^{5} d g^{4} - 180 \, A a^{2} b^{8} c^{4} d^{2} g^{4} - 180 \, B a^{2} b^{8} c^{4} d^{2} g^{4} + 240 \, A a^{3} b^{7} c^{3} d^{3} g^{4} + 240 \, B a^{3} b^{7} c^{3} d^{3} g^{4} - 180 \, A a^{4} b^{6} c^{2} d^{4} g^{4} - 180 \, B a^{4} b^{6} c^{2} d^{4} g^{4} + 72 \, A a^{5} b^{5} c d^{5} g^{4} + 72 \, B a^{5} b^{5} c d^{5} g^{4} - 12 \, A a^{6} b^{4} d^{6} g^{4} - 12 \, B a^{6} b^{4} d^{6} g^{4}}{b^{9} d - \frac{5 \, {\left(b x + a\right)} b^{8} d^{2}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{7} d^{3}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{6} d^{4}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b^{5} d^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} b^{4} d^{6}}{{\left(d x + c\right)}^{5}}} + \frac{12 \, {\left(B b^{6} c^{6} g^{4} n - 6 \, B a b^{5} c^{5} d g^{4} n + 15 \, B a^{2} b^{4} c^{4} d^{2} g^{4} n - 20 \, B a^{3} b^{3} c^{3} d^{3} g^{4} n + 15 \, B a^{4} b^{2} c^{2} d^{4} g^{4} n - 6 \, B a^{5} b c d^{5} g^{4} n + B a^{6} d^{6} g^{4} n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{5} d} - \frac{12 \, {\left(B b^{6} c^{6} g^{4} n - 6 \, B a b^{5} c^{5} d g^{4} n + 15 \, B a^{2} b^{4} c^{4} d^{2} g^{4} n - 20 \, B a^{3} b^{3} c^{3} d^{3} g^{4} n + 15 \, B a^{4} b^{2} c^{2} d^{4} g^{4} n - 6 \, B a^{5} b c d^{5} g^{4} n + B a^{6} d^{6} g^{4} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{5} 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,"1/60*(12*(B*b^6*c^6*g^4*n - 6*B*a*b^5*c^5*d*g^4*n + 15*B*a^2*b^4*c^4*d^2*g^4*n - 20*B*a^3*b^3*c^3*d^3*g^4*n + 15*B*a^4*b^2*c^2*d^4*g^4*n - 6*B*a^5*b*c*d^5*g^4*n + B*a^6*d^6*g^4*n)*log((b*x + a)/(d*x + c))/(b^5*d - 5*(b*x + a)*b^4*d^2/(d*x + c) + 10*(b*x + a)^2*b^3*d^3/(d*x + c)^2 - 10*(b*x + a)^3*b^2*d^4/(d*x + c)^3 + 5*(b*x + a)^4*b*d^5/(d*x + c)^4 - (b*x + a)^5*d^6/(d*x + c)^5) - (25*B*b^10*c^6*g^4*n - 150*B*a*b^9*c^5*d*g^4*n - 77*(b*x + a)*B*b^9*c^6*d*g^4*n/(d*x + c) + 375*B*a^2*b^8*c^4*d^2*g^4*n + 462*(b*x + a)*B*a*b^8*c^5*d^2*g^4*n/(d*x + c) + 94*(b*x + a)^2*B*b^8*c^6*d^2*g^4*n/(d*x + c)^2 - 500*B*a^3*b^7*c^3*d^3*g^4*n - 1155*(b*x + a)*B*a^2*b^7*c^4*d^3*g^4*n/(d*x + c) - 564*(b*x + a)^2*B*a*b^7*c^5*d^3*g^4*n/(d*x + c)^2 - 54*(b*x + a)^3*B*b^7*c^6*d^3*g^4*n/(d*x + c)^3 + 375*B*a^4*b^6*c^2*d^4*g^4*n + 1540*(b*x + a)*B*a^3*b^6*c^3*d^4*g^4*n/(d*x + c) + 1410*(b*x + a)^2*B*a^2*b^6*c^4*d^4*g^4*n/(d*x + c)^2 + 324*(b*x + a)^3*B*a*b^6*c^5*d^4*g^4*n/(d*x + c)^3 + 12*(b*x + a)^4*B*b^6*c^6*d^4*g^4*n/(d*x + c)^4 - 150*B*a^5*b^5*c*d^5*g^4*n - 1155*(b*x + a)*B*a^4*b^5*c^2*d^5*g^4*n/(d*x + c) - 1880*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g^4*n/(d*x + c)^2 - 810*(b*x + a)^3*B*a^2*b^5*c^4*d^5*g^4*n/(d*x + c)^3 - 72*(b*x + a)^4*B*a*b^5*c^5*d^5*g^4*n/(d*x + c)^4 + 25*B*a^6*b^4*d^6*g^4*n + 462*(b*x + a)*B*a^5*b^4*c*d^6*g^4*n/(d*x + c) + 1410*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g^4*n/(d*x + c)^2 + 1080*(b*x + a)^3*B*a^3*b^4*c^3*d^6*g^4*n/(d*x + c)^3 + 180*(b*x + a)^4*B*a^2*b^4*c^4*d^6*g^4*n/(d*x + c)^4 - 77*(b*x + a)*B*a^6*b^3*d^7*g^4*n/(d*x + c) - 564*(b*x + a)^2*B*a^5*b^3*c*d^7*g^4*n/(d*x + c)^2 - 810*(b*x + a)^3*B*a^4*b^3*c^2*d^7*g^4*n/(d*x + c)^3 - 240*(b*x + a)^4*B*a^3*b^3*c^3*d^7*g^4*n/(d*x + c)^4 + 94*(b*x + a)^2*B*a^6*b^2*d^8*g^4*n/(d*x + c)^2 + 324*(b*x + a)^3*B*a^5*b^2*c*d^8*g^4*n/(d*x + c)^3 + 180*(b*x + a)^4*B*a^4*b^2*c^2*d^8*g^4*n/(d*x + c)^4 - 54*(b*x + a)^3*B*a^6*b*d^9*g^4*n/(d*x + c)^3 - 72*(b*x + a)^4*B*a^5*b*c*d^9*g^4*n/(d*x + c)^4 + 12*(b*x + a)^4*B*a^6*d^10*g^4*n/(d*x + c)^4 - 12*A*b^10*c^6*g^4 - 12*B*b^10*c^6*g^4 + 72*A*a*b^9*c^5*d*g^4 + 72*B*a*b^9*c^5*d*g^4 - 180*A*a^2*b^8*c^4*d^2*g^4 - 180*B*a^2*b^8*c^4*d^2*g^4 + 240*A*a^3*b^7*c^3*d^3*g^4 + 240*B*a^3*b^7*c^3*d^3*g^4 - 180*A*a^4*b^6*c^2*d^4*g^4 - 180*B*a^4*b^6*c^2*d^4*g^4 + 72*A*a^5*b^5*c*d^5*g^4 + 72*B*a^5*b^5*c*d^5*g^4 - 12*A*a^6*b^4*d^6*g^4 - 12*B*a^6*b^4*d^6*g^4)/(b^9*d - 5*(b*x + a)*b^8*d^2/(d*x + c) + 10*(b*x + a)^2*b^7*d^3/(d*x + c)^2 - 10*(b*x + a)^3*b^6*d^4/(d*x + c)^3 + 5*(b*x + a)^4*b^5*d^5/(d*x + c)^4 - (b*x + a)^5*b^4*d^6/(d*x + c)^5) + 12*(B*b^6*c^6*g^4*n - 6*B*a*b^5*c^5*d*g^4*n + 15*B*a^2*b^4*c^4*d^2*g^4*n - 20*B*a^3*b^3*c^3*d^3*g^4*n + 15*B*a^4*b^2*c^2*d^4*g^4*n - 6*B*a^5*b*c*d^5*g^4*n + B*a^6*d^6*g^4*n)*log(b - (b*x + a)*d/(d*x + c))/(b^5*d) - 12*(B*b^6*c^6*g^4*n - 6*B*a*b^5*c^5*d*g^4*n + 15*B*a^2*b^4*c^4*d^2*g^4*n - 20*B*a^3*b^3*c^3*d^3*g^4*n + 15*B*a^4*b^2*c^2*d^4*g^4*n - 6*B*a^5*b*c*d^5*g^4*n + B*a^6*d^6*g^4*n)*log((b*x + a)/(d*x + c))/(b^5*d))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
30,1,1390,0,4.451989," ","integrate((d*g*x+c*g)^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} g^{3} n - 5 \, B a b^{4} c^{4} d g^{3} n + 10 \, B a^{2} b^{3} c^{3} d^{2} g^{3} n - 10 \, B a^{3} b^{2} c^{2} d^{3} g^{3} n + 5 \, B a^{4} b c d^{4} g^{3} n - B a^{5} d^{5} g^{3} 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} g^{3} n - 55 \, B a b^{7} c^{4} d g^{3} n - \frac{26 \, {\left(b x + a\right)} B b^{7} c^{5} d g^{3} n}{d x + c} + 110 \, B a^{2} b^{6} c^{3} d^{2} g^{3} n + \frac{130 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} g^{3} n}{d x + c} + \frac{21 \, {\left(b x + a\right)}^{2} B b^{6} c^{5} d^{2} g^{3} n}{{\left(d x + c\right)}^{2}} - 110 \, B a^{3} b^{5} c^{2} d^{3} g^{3} n - \frac{260 \, {\left(b x + a\right)} B a^{2} b^{5} c^{3} d^{3} g^{3} n}{d x + c} - \frac{105 \, {\left(b x + a\right)}^{2} B a b^{5} c^{4} d^{3} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{3} B b^{5} c^{5} d^{3} g^{3} n}{{\left(d x + c\right)}^{3}} + 55 \, B a^{4} b^{4} c d^{4} g^{3} n + \frac{260 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} g^{3} n}{d x + c} + \frac{210 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{3} d^{4} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{30 \, {\left(b x + a\right)}^{3} B a b^{4} c^{4} d^{4} g^{3} n}{{\left(d x + c\right)}^{3}} - 11 \, B a^{5} b^{3} d^{5} g^{3} n - \frac{130 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} g^{3} n}{d x + c} - \frac{210 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{2} d^{5} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{60 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{3} d^{5} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{26 \, {\left(b x + a\right)} B a^{5} b^{2} d^{6} g^{3} n}{d x + c} + \frac{105 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} c d^{6} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{60 \, {\left(b x + a\right)}^{3} B a^{3} b^{2} c^{2} d^{6} g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{21 \, {\left(b x + a\right)}^{2} B a^{5} b d^{7} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{30 \, {\left(b x + a\right)}^{3} B a^{4} b c d^{7} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{6 \, {\left(b x + a\right)}^{3} B a^{5} d^{8} g^{3} n}{{\left(d x + c\right)}^{3}} - 6 \, A b^{8} c^{5} g^{3} - 6 \, B b^{8} c^{5} g^{3} + 30 \, A a b^{7} c^{4} d g^{3} + 30 \, B a b^{7} c^{4} d g^{3} - 60 \, A a^{2} b^{6} c^{3} d^{2} g^{3} - 60 \, B a^{2} b^{6} c^{3} d^{2} g^{3} + 60 \, A a^{3} b^{5} c^{2} d^{3} g^{3} + 60 \, B a^{3} b^{5} c^{2} d^{3} g^{3} - 30 \, A a^{4} b^{4} c d^{4} g^{3} - 30 \, B a^{4} b^{4} c d^{4} g^{3} + 6 \, A a^{5} b^{3} d^{5} g^{3} + 6 \, B a^{5} b^{3} d^{5} g^{3}}{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} g^{3} n - 5 \, B a b^{4} c^{4} d g^{3} n + 10 \, B a^{2} b^{3} c^{3} d^{2} g^{3} n - 10 \, B a^{3} b^{2} c^{2} d^{3} g^{3} n + 5 \, B a^{4} b c d^{4} g^{3} n - B a^{5} d^{5} g^{3} 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} g^{3} n - 5 \, B a b^{4} c^{4} d g^{3} n + 10 \, B a^{2} b^{3} c^{3} d^{2} g^{3} n - 10 \, B a^{3} b^{2} c^{2} d^{3} g^{3} n + 5 \, B a^{4} b c d^{4} g^{3} n - B a^{5} d^{5} g^{3} 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*g^3*n - 5*B*a*b^4*c^4*d*g^3*n + 10*B*a^2*b^3*c^3*d^2*g^3*n - 10*B*a^3*b^2*c^2*d^3*g^3*n + 5*B*a^4*b*c*d^4*g^3*n - B*a^5*d^5*g^3*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*g^3*n - 55*B*a*b^7*c^4*d*g^3*n - 26*(b*x + a)*B*b^7*c^5*d*g^3*n/(d*x + c) + 110*B*a^2*b^6*c^3*d^2*g^3*n + 130*(b*x + a)*B*a*b^6*c^4*d^2*g^3*n/(d*x + c) + 21*(b*x + a)^2*B*b^6*c^5*d^2*g^3*n/(d*x + c)^2 - 110*B*a^3*b^5*c^2*d^3*g^3*n - 260*(b*x + a)*B*a^2*b^5*c^3*d^3*g^3*n/(d*x + c) - 105*(b*x + a)^2*B*a*b^5*c^4*d^3*g^3*n/(d*x + c)^2 - 6*(b*x + a)^3*B*b^5*c^5*d^3*g^3*n/(d*x + c)^3 + 55*B*a^4*b^4*c*d^4*g^3*n + 260*(b*x + a)*B*a^3*b^4*c^2*d^4*g^3*n/(d*x + c) + 210*(b*x + a)^2*B*a^2*b^4*c^3*d^4*g^3*n/(d*x + c)^2 + 30*(b*x + a)^3*B*a*b^4*c^4*d^4*g^3*n/(d*x + c)^3 - 11*B*a^5*b^3*d^5*g^3*n - 130*(b*x + a)*B*a^4*b^3*c*d^5*g^3*n/(d*x + c) - 210*(b*x + a)^2*B*a^3*b^3*c^2*d^5*g^3*n/(d*x + c)^2 - 60*(b*x + a)^3*B*a^2*b^3*c^3*d^5*g^3*n/(d*x + c)^3 + 26*(b*x + a)*B*a^5*b^2*d^6*g^3*n/(d*x + c) + 105*(b*x + a)^2*B*a^4*b^2*c*d^6*g^3*n/(d*x + c)^2 + 60*(b*x + a)^3*B*a^3*b^2*c^2*d^6*g^3*n/(d*x + c)^3 - 21*(b*x + a)^2*B*a^5*b*d^7*g^3*n/(d*x + c)^2 - 30*(b*x + a)^3*B*a^4*b*c*d^7*g^3*n/(d*x + c)^3 + 6*(b*x + a)^3*B*a^5*d^8*g^3*n/(d*x + c)^3 - 6*A*b^8*c^5*g^3 - 6*B*b^8*c^5*g^3 + 30*A*a*b^7*c^4*d*g^3 + 30*B*a*b^7*c^4*d*g^3 - 60*A*a^2*b^6*c^3*d^2*g^3 - 60*B*a^2*b^6*c^3*d^2*g^3 + 60*A*a^3*b^5*c^2*d^3*g^3 + 60*B*a^3*b^5*c^2*d^3*g^3 - 30*A*a^4*b^4*c*d^4*g^3 - 30*B*a^4*b^4*c*d^4*g^3 + 6*A*a^5*b^3*d^5*g^3 + 6*B*a^5*b^3*d^5*g^3)/(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*g^3*n - 5*B*a*b^4*c^4*d*g^3*n + 10*B*a^2*b^3*c^3*d^2*g^3*n - 10*B*a^3*b^2*c^2*d^3*g^3*n + 5*B*a^4*b*c*d^4*g^3*n - B*a^5*d^5*g^3*n)*log(-b + (b*x + a)*d/(d*x + c))/(b^4*d) - 6*(B*b^5*c^5*g^3*n - 5*B*a*b^4*c^4*d*g^3*n + 10*B*a^2*b^3*c^3*d^2*g^3*n - 10*B*a^3*b^2*c^2*d^3*g^3*n + 5*B*a^4*b*c*d^4*g^3*n - B*a^5*d^5*g^3*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
31,1,980,0,3.153768," ","integrate((d*g*x+c*g)^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} g^{2} n - 4 \, B a b^{3} c^{3} d g^{2} n + 6 \, B a^{2} b^{2} c^{2} d^{2} g^{2} n - 4 \, B a^{3} b c d^{3} g^{2} n + B a^{4} d^{4} g^{2} 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} g^{2} n - 12 \, B a b^{5} c^{3} d g^{2} n - \frac{5 \, {\left(b x + a\right)} B b^{5} c^{4} d g^{2} n}{d x + c} + 18 \, B a^{2} b^{4} c^{2} d^{2} g^{2} n + \frac{20 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} g^{2} n}{d x + c} + \frac{2 \, {\left(b x + a\right)}^{2} B b^{4} c^{4} d^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - 12 \, B a^{3} b^{3} c d^{3} g^{2} n - \frac{30 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} g^{2} n}{d x + c} - \frac{8 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{3} g^{2} n}{{\left(d x + c\right)}^{2}} + 3 \, B a^{4} b^{2} d^{4} g^{2} n + \frac{20 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} g^{2} n}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{4} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{5 \, {\left(b x + a\right)} B a^{4} b d^{5} g^{2} n}{d x + c} - \frac{8 \, {\left(b x + a\right)}^{2} B a^{3} b c d^{5} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x + a\right)}^{2} B a^{4} d^{6} g^{2} n}{{\left(d x + c\right)}^{2}} - 2 \, A b^{6} c^{4} g^{2} - 2 \, B b^{6} c^{4} g^{2} + 8 \, A a b^{5} c^{3} d g^{2} + 8 \, B a b^{5} c^{3} d g^{2} - 12 \, A a^{2} b^{4} c^{2} d^{2} g^{2} - 12 \, B a^{2} b^{4} c^{2} d^{2} g^{2} + 8 \, A a^{3} b^{3} c d^{3} g^{2} + 8 \, B a^{3} b^{3} c d^{3} g^{2} - 2 \, A a^{4} b^{2} d^{4} g^{2} - 2 \, B a^{4} b^{2} d^{4} g^{2}}{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} g^{2} n - 4 \, B a b^{3} c^{3} d g^{2} n + 6 \, B a^{2} b^{2} c^{2} d^{2} g^{2} n - 4 \, B a^{3} b c d^{3} g^{2} n + B a^{4} d^{4} g^{2} 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} g^{2} n - 4 \, B a b^{3} c^{3} d g^{2} n + 6 \, B a^{2} b^{2} c^{2} d^{2} g^{2} n - 4 \, B a^{3} b c d^{3} g^{2} n + B a^{4} d^{4} g^{2} 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*g^2*n - 4*B*a*b^3*c^3*d*g^2*n + 6*B*a^2*b^2*c^2*d^2*g^2*n - 4*B*a^3*b*c*d^3*g^2*n + B*a^4*d^4*g^2*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*g^2*n - 12*B*a*b^5*c^3*d*g^2*n - 5*(b*x + a)*B*b^5*c^4*d*g^2*n/(d*x + c) + 18*B*a^2*b^4*c^2*d^2*g^2*n + 20*(b*x + a)*B*a*b^4*c^3*d^2*g^2*n/(d*x + c) + 2*(b*x + a)^2*B*b^4*c^4*d^2*g^2*n/(d*x + c)^2 - 12*B*a^3*b^3*c*d^3*g^2*n - 30*(b*x + a)*B*a^2*b^3*c^2*d^3*g^2*n/(d*x + c) - 8*(b*x + a)^2*B*a*b^3*c^3*d^3*g^2*n/(d*x + c)^2 + 3*B*a^4*b^2*d^4*g^2*n + 20*(b*x + a)*B*a^3*b^2*c*d^4*g^2*n/(d*x + c) + 12*(b*x + a)^2*B*a^2*b^2*c^2*d^4*g^2*n/(d*x + c)^2 - 5*(b*x + a)*B*a^4*b*d^5*g^2*n/(d*x + c) - 8*(b*x + a)^2*B*a^3*b*c*d^5*g^2*n/(d*x + c)^2 + 2*(b*x + a)^2*B*a^4*d^6*g^2*n/(d*x + c)^2 - 2*A*b^6*c^4*g^2 - 2*B*b^6*c^4*g^2 + 8*A*a*b^5*c^3*d*g^2 + 8*B*a*b^5*c^3*d*g^2 - 12*A*a^2*b^4*c^2*d^2*g^2 - 12*B*a^2*b^4*c^2*d^2*g^2 + 8*A*a^3*b^3*c*d^3*g^2 + 8*B*a^3*b^3*c*d^3*g^2 - 2*A*a^4*b^2*d^4*g^2 - 2*B*a^4*b^2*d^4*g^2)/(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*g^2*n - 4*B*a*b^3*c^3*d*g^2*n + 6*B*a^2*b^2*c^2*d^2*g^2*n - 4*B*a^3*b*c*d^3*g^2*n + B*a^4*d^4*g^2*n)*log(b - (b*x + a)*d/(d*x + c))/(b^3*d) - 2*(B*b^4*c^4*g^2*n - 4*B*a*b^3*c^3*d*g^2*n + 6*B*a^2*b^2*c^2*d^2*g^2*n - 4*B*a^3*b*c*d^3*g^2*n + B*a^4*d^4*g^2*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
32,1,572,0,1.266879," ","integrate((d*g*x+c*g)*(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} g n - 3 \, B a b^{2} c^{2} d g n + 3 \, B a^{2} b c d^{2} g n - B a^{3} d^{3} g 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} g n - 3 \, B a b^{3} c^{2} d g n - \frac{{\left(b x + a\right)} B b^{3} c^{3} d g n}{d x + c} + 3 \, B a^{2} b^{2} c d^{2} g n + \frac{3 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{2} g n}{d x + c} - B a^{3} b d^{3} g n - \frac{3 \, {\left(b x + a\right)} B a^{2} b c d^{3} g n}{d x + c} + \frac{{\left(b x + a\right)} B a^{3} d^{4} g n}{d x + c} - A b^{4} c^{3} g - B b^{4} c^{3} g + 3 \, A a b^{3} c^{2} d g + 3 \, B a b^{3} c^{2} d g - 3 \, A a^{2} b^{2} c d^{2} g - 3 \, B a^{2} b^{2} c d^{2} g + A a^{3} b d^{3} g + B a^{3} b d^{3} g}{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} g n - 3 \, B a b^{2} c^{2} d g n + 3 \, B a^{2} b c d^{2} g n - B a^{3} d^{3} g 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} g n - 3 \, B a b^{2} c^{2} d g n + 3 \, B a^{2} b c d^{2} g n - B a^{3} d^{3} g 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*g*n - 3*B*a*b^2*c^2*d*g*n + 3*B*a^2*b*c*d^2*g*n - B*a^3*d^3*g*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*g*n - 3*B*a*b^3*c^2*d*g*n - (b*x + a)*B*b^3*c^3*d*g*n/(d*x + c) + 3*B*a^2*b^2*c*d^2*g*n + 3*(b*x + a)*B*a*b^2*c^2*d^2*g*n/(d*x + c) - B*a^3*b*d^3*g*n - 3*(b*x + a)*B*a^2*b*c*d^3*g*n/(d*x + c) + (b*x + a)*B*a^3*d^4*g*n/(d*x + c) - A*b^4*c^3*g - B*b^4*c^3*g + 3*A*a*b^3*c^2*d*g + 3*B*a*b^3*c^2*d*g - 3*A*a^2*b^2*c*d^2*g - 3*B*a^2*b^2*c*d^2*g + A*a^3*b*d^3*g + B*a^3*b*d^3*g)/(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*g*n - 3*B*a*b^2*c^2*d*g*n + 3*B*a^2*b*c*d^2*g*n - B*a^3*d^3*g*n)*log(-b + (b*x + a)*d/(d*x + c))/(b^2*d) - (B*b^3*c^3*g*n - 3*B*a*b^2*c^2*d*g*n + 3*B*a^2*b*c*d^2*g*n - B*a^3*d^3*g*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
33,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*g*x+c*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,1,89,0,3.765772," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*g*x+c*g)^2,x, algorithm=""giac"")","{\left(\frac{{\left(b x + a\right)} B n \log\left(\frac{b x + a}{d x + c}\right)}{{\left(d x + c\right)} g^{2}} - \frac{{\left(B n - A - B\right)} {\left(b x + a\right)}}{{\left(d x + c\right)} g^{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,"((b*x + a)*B*n*log((b*x + a)/(d*x + c))/((d*x + c)*g^2) - (B*n - A - B)*(b*x + a)/((d*x + c)*g^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
35,1,203,0,6.452625," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*g*x+c*g)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, {\left(\frac{2 \, {\left(b x + a\right)} B b n}{{\left(b c g^{3} - a d g^{3}\right)} {\left(d x + c\right)}} - \frac{{\left(b x + a\right)}^{2} B d n}{{\left(b c g^{3} - a d g^{3}\right)} {\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right) + \frac{{\left(B d n - 2 \, A d - 2 \, B d\right)} {\left(b x + a\right)}^{2}}{{\left(b c g^{3} - a d g^{3}\right)} {\left(d x + c\right)}^{2}} - \frac{4 \, {\left(B b n - A b - B b\right)} {\left(b x + a\right)}}{{\left(b c g^{3} - a d g^{3}\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*n/((b*c*g^3 - a*d*g^3)*(d*x + c)) - (b*x + a)^2*B*d*n/((b*c*g^3 - a*d*g^3)*(d*x + c)^2))*log((b*x + a)/(d*x + c)) + (B*d*n - 2*A*d - 2*B*d)*(b*x + a)^2/((b*c*g^3 - a*d*g^3)*(d*x + c)^2) - 4*(B*b*n - A*b - B*b)*(b*x + a)/((b*c*g^3 - a*d*g^3)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
36,1,399,0,7.699670," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*g*x+c*g)^4,x, algorithm=""giac"")","\frac{1}{18} \, {\left(6 \, {\left(\frac{3 \, {\left(b x + a\right)} B b^{2} n}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}} - \frac{3 \, {\left(b x + a\right)}^{2} B b d n}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}^{2}} + \frac{{\left(b x + a\right)}^{3} B d^{2} n}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}^{3}}\right)} \log\left(\frac{b x + a}{d x + c}\right) - \frac{2 \, {\left(B d^{2} n - 3 \, A d^{2} - 3 \, B d^{2}\right)} {\left(b x + a\right)}^{3}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}^{3}} + \frac{9 \, {\left(B b d n - 2 \, A b d - 2 \, B b d\right)} {\left(b x + a\right)}^{2}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}^{2}} - \frac{18 \, {\left(B b^{2} n - A b^{2} - B b^{2}\right)} {\left(b x + a\right)}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\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,"1/18*(6*(3*(b*x + a)*B*b^2*n/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)) - 3*(b*x + a)^2*B*b*d*n/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)^2) + (b*x + a)^3*B*d^2*n/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)^3))*log((b*x + a)/(d*x + c)) - 2*(B*d^2*n - 3*A*d^2 - 3*B*d^2)*(b*x + a)^3/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)^3) + 9*(B*b*d*n - 2*A*b*d - 2*B*b*d)*(b*x + a)^2/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)^2) - 18*(B*b^2*n - A*b^2 - B*b^2)*(b*x + a)/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
37,1,676,0,11.422193," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*g*x+c*g)^5,x, algorithm=""giac"")","\frac{1}{48} \, {\left(12 \, {\left(\frac{4 \, {\left(b x + a\right)} B b^{3} n}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}} - \frac{6 \, {\left(b x + a\right)}^{2} B b^{2} d n}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x + a\right)}^{3} B b d^{2} n}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{3}} - \frac{{\left(b x + a\right)}^{4} B d^{3} n}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{4}}\right)} \log\left(\frac{b x + a}{d x + c}\right) + \frac{3 \, {\left(B d^{3} n - 4 \, A d^{3} - 4 \, B d^{3}\right)} {\left(b x + a\right)}^{4}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{4}} - \frac{16 \, {\left(B b d^{2} n - 3 \, A b d^{2} - 3 \, B b d^{2}\right)} {\left(b x + a\right)}^{3}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{3}} + \frac{36 \, {\left(B b^{2} d n - 2 \, A b^{2} d - 2 \, B b^{2} d\right)} {\left(b x + a\right)}^{2}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{2}} - \frac{48 \, {\left(B b^{3} n - A b^{3} - B b^{3}\right)} {\left(b x + a\right)}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\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,"1/48*(12*(4*(b*x + a)*B*b^3*n/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)) - 6*(b*x + a)^2*B*b^2*d*n/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^2) + 4*(b*x + a)^3*B*b*d^2*n/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^3) - (b*x + a)^4*B*d^3*n/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^4))*log((b*x + a)/(d*x + c)) + 3*(B*d^3*n - 4*A*d^3 - 4*B*d^3)*(b*x + a)^4/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^4) - 16*(B*b*d^2*n - 3*A*b*d^2 - 3*B*b*d^2)*(b*x + a)^3/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^3) + 36*(B*b^2*d*n - 2*A*b^2*d - 2*B*b^2*d)*(b*x + a)^2/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^2) - 48*(B*b^3*n - A*b^3 - B*b^3)*(b*x + a)/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
38,-1,0,0,0.000000," ","integrate((d*g*x+c*g)^4*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,-1,0,0,0.000000," ","integrate((d*g*x+c*g)^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
40,-1,0,0,0.000000," ","integrate((d*g*x+c*g)^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
41,-1,0,0,0.000000," ","integrate((d*g*x+c*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*g*x+c*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,1,164,0,7.263054," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*g*x+c*g)^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}}{{\left(d x + c\right)} g^{2}} - \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)}{{\left(d x + c\right)} g^{2}} + \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)}}{{\left(d x + c\right)} g^{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,"((b*x + a)*B^2*n^2*log((b*x + a)/(d*x + c))^2/((d*x + c)*g^2) - 2*(B^2*n^2 - A*B*n - B^2*n)*(b*x + a)*log((b*x + a)/(d*x + c))/((d*x + c)*g^2) + (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)*g^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
44,1,387,0,9.302965," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*g*x+c*g)^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, {\left(\frac{2 \, {\left(b x + a\right)} B^{2} b n^{2}}{{\left(b c g^{3} - a d g^{3}\right)} {\left(d x + c\right)}} - \frac{{\left(b x + a\right)}^{2} B^{2} d n^{2}}{{\left(b c g^{3} - a d g^{3}\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 n^{2} - 2 \, A B d n - 2 \, B^{2} d n\right)} {\left(b x + a\right)}^{2}}{{\left(b c g^{3} - a d g^{3}\right)} {\left(d x + c\right)}^{2}} - \frac{4 \, {\left(B^{2} b n^{2} - A B b n - B^{2} b n\right)} {\left(b x + a\right)}}{{\left(b c g^{3} - a d g^{3}\right)} {\left(d x + c\right)}}\right)} \log\left(\frac{b x + a}{d x + c}\right) - \frac{{\left(B^{2} d n^{2} - 2 \, A B d n - 2 \, B^{2} d n + 2 \, A^{2} d + 4 \, A B d + 2 \, B^{2} d\right)} {\left(b x + a\right)}^{2}}{{\left(b c g^{3} - a d g^{3}\right)} {\left(d x + c\right)}^{2}} + \frac{4 \, {\left(2 \, B^{2} b n^{2} - 2 \, A B b n - 2 \, B^{2} b n + A^{2} b + 2 \, A B b + B^{2} b\right)} {\left(b x + a\right)}}{{\left(b c g^{3} - a d g^{3}\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*n^2/((b*c*g^3 - a*d*g^3)*(d*x + c)) - (b*x + a)^2*B^2*d*n^2/((b*c*g^3 - a*d*g^3)*(d*x + c)^2))*log((b*x + a)/(d*x + c))^2 + 2*((B^2*d*n^2 - 2*A*B*d*n - 2*B^2*d*n)*(b*x + a)^2/((b*c*g^3 - a*d*g^3)*(d*x + c)^2) - 4*(B^2*b*n^2 - A*B*b*n - B^2*b*n)*(b*x + a)/((b*c*g^3 - a*d*g^3)*(d*x + c)))*log((b*x + a)/(d*x + c)) - (B^2*d*n^2 - 2*A*B*d*n - 2*B^2*d*n + 2*A^2*d + 4*A*B*d + 2*B^2*d)*(b*x + a)^2/((b*c*g^3 - a*d*g^3)*(d*x + c)^2) + 4*(2*B^2*b*n^2 - 2*A*B*b*n - 2*B^2*b*n + A^2*b + 2*A*B*b + B^2*b)*(b*x + a)/((b*c*g^3 - a*d*g^3)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
45,1,746,0,13.814719," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*g*x+c*g)^4,x, algorithm=""giac"")","\frac{1}{54} \, {\left(18 \, {\left(\frac{3 \, {\left(b x + a\right)} B^{2} b^{2} n^{2}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}} - \frac{3 \, {\left(b x + a\right)}^{2} B^{2} b d n^{2}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}^{2}} + \frac{{\left(b x + a\right)}^{3} B^{2} d^{2} n^{2}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}^{3}}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} - 6 \, {\left(\frac{2 \, {\left(B^{2} d^{2} n^{2} - 3 \, A B d^{2} n - 3 \, B^{2} d^{2} n\right)} {\left(b x + a\right)}^{3}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}^{3}} - \frac{9 \, {\left(B^{2} b d n^{2} - 2 \, A B b d n - 2 \, B^{2} b d n\right)} {\left(b x + a\right)}^{2}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}^{2}} + \frac{18 \, {\left(B^{2} b^{2} n^{2} - A B b^{2} n - B^{2} b^{2} n\right)} {\left(b x + a\right)}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}}\right)} \log\left(\frac{b x + a}{d x + c}\right) + \frac{2 \, {\left(2 \, B^{2} d^{2} n^{2} - 6 \, A B d^{2} n - 6 \, B^{2} d^{2} n + 9 \, A^{2} d^{2} + 18 \, A B d^{2} + 9 \, B^{2} d^{2}\right)} {\left(b x + a\right)}^{3}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}^{3}} - \frac{27 \, {\left(B^{2} b d n^{2} - 2 \, A B b d n - 2 \, B^{2} b d n + 2 \, A^{2} b d + 4 \, A B b d + 2 \, B^{2} b d\right)} {\left(b x + a\right)}^{2}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\right)} {\left(d x + c\right)}^{2}} + \frac{54 \, {\left(2 \, B^{2} b^{2} n^{2} - 2 \, A B b^{2} n - 2 \, B^{2} b^{2} n + A^{2} b^{2} + 2 \, A B b^{2} + B^{2} b^{2}\right)} {\left(b x + a\right)}}{{\left(b^{2} c^{2} g^{4} - 2 \, a b c d g^{4} + a^{2} d^{2} g^{4}\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,"1/54*(18*(3*(b*x + a)*B^2*b^2*n^2/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)) - 3*(b*x + a)^2*B^2*b*d*n^2/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)^2) + (b*x + a)^3*B^2*d^2*n^2/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)^3))*log((b*x + a)/(d*x + c))^2 - 6*(2*(B^2*d^2*n^2 - 3*A*B*d^2*n - 3*B^2*d^2*n)*(b*x + a)^3/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)^3) - 9*(B^2*b*d*n^2 - 2*A*B*b*d*n - 2*B^2*b*d*n)*(b*x + a)^2/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)^2) + 18*(B^2*b^2*n^2 - A*B*b^2*n - B^2*b^2*n)*(b*x + a)/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)))*log((b*x + a)/(d*x + c)) + 2*(2*B^2*d^2*n^2 - 6*A*B*d^2*n - 6*B^2*d^2*n + 9*A^2*d^2 + 18*A*B*d^2 + 9*B^2*d^2)*(b*x + a)^3/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)^3) - 27*(B^2*b*d*n^2 - 2*A*B*b*d*n - 2*B^2*b*d*n + 2*A^2*b*d + 4*A*B*b*d + 2*B^2*b*d)*(b*x + a)^2/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)^2) + 54*(2*B^2*b^2*n^2 - 2*A*B*b^2*n - 2*B^2*b^2*n + A^2*b^2 + 2*A*B*b^2 + B^2*b^2)*(b*x + a)/((b^2*c^2*g^4 - 2*a*b*c*d*g^4 + a^2*d^2*g^4)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
46,1,1225,0,19.413961," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*g*x+c*g)^5,x, algorithm=""giac"")","\frac{1}{288} \, {\left(72 \, {\left(\frac{4 \, {\left(b x + a\right)} B^{2} b^{3} n^{2}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}} - \frac{6 \, {\left(b x + a\right)}^{2} B^{2} b^{2} d n^{2}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x + a\right)}^{3} B^{2} b d^{2} n^{2}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{3}} - \frac{{\left(b x + a\right)}^{4} B^{2} d^{3} n^{2}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{4}}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} + 12 \, {\left(\frac{3 \, {\left(B^{2} d^{3} n^{2} - 4 \, A B d^{3} n - 4 \, B^{2} d^{3} n\right)} {\left(b x + a\right)}^{4}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{4}} - \frac{16 \, {\left(B^{2} b d^{2} n^{2} - 3 \, A B b d^{2} n - 3 \, B^{2} b d^{2} n\right)} {\left(b x + a\right)}^{3}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{3}} + \frac{36 \, {\left(B^{2} b^{2} d n^{2} - 2 \, A B b^{2} d n - 2 \, B^{2} b^{2} d n\right)} {\left(b x + a\right)}^{2}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{2}} - \frac{48 \, {\left(B^{2} b^{3} n^{2} - A B b^{3} n - B^{2} b^{3} n\right)} {\left(b x + a\right)}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}}\right)} \log\left(\frac{b x + a}{d x + c}\right) - \frac{9 \, {\left(B^{2} d^{3} n^{2} - 4 \, A B d^{3} n - 4 \, B^{2} d^{3} n + 8 \, A^{2} d^{3} + 16 \, A B d^{3} + 8 \, B^{2} d^{3}\right)} {\left(b x + a\right)}^{4}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{4}} + \frac{32 \, {\left(2 \, B^{2} b d^{2} n^{2} - 6 \, A B b d^{2} n - 6 \, B^{2} b d^{2} n + 9 \, A^{2} b d^{2} + 18 \, A B b d^{2} + 9 \, B^{2} b d^{2}\right)} {\left(b x + a\right)}^{3}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{3}} - \frac{216 \, {\left(B^{2} b^{2} d n^{2} - 2 \, A B b^{2} d n - 2 \, B^{2} b^{2} d n + 2 \, A^{2} b^{2} d + 4 \, A B b^{2} d + 2 \, B^{2} b^{2} d\right)} {\left(b x + a\right)}^{2}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\right)} {\left(d x + c\right)}^{2}} + \frac{288 \, {\left(2 \, B^{2} b^{3} n^{2} - 2 \, A B b^{3} n - 2 \, B^{2} b^{3} n + A^{2} b^{3} + 2 \, A B b^{3} + B^{2} b^{3}\right)} {\left(b x + a\right)}}{{\left(b^{3} c^{3} g^{5} - 3 \, a b^{2} c^{2} d g^{5} + 3 \, a^{2} b c d^{2} g^{5} - a^{3} d^{3} g^{5}\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,"1/288*(72*(4*(b*x + a)*B^2*b^3*n^2/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)) - 6*(b*x + a)^2*B^2*b^2*d*n^2/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^2) + 4*(b*x + a)^3*B^2*b*d^2*n^2/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^3) - (b*x + a)^4*B^2*d^3*n^2/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^4))*log((b*x + a)/(d*x + c))^2 + 12*(3*(B^2*d^3*n^2 - 4*A*B*d^3*n - 4*B^2*d^3*n)*(b*x + a)^4/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^4) - 16*(B^2*b*d^2*n^2 - 3*A*B*b*d^2*n - 3*B^2*b*d^2*n)*(b*x + a)^3/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^3) + 36*(B^2*b^2*d*n^2 - 2*A*B*b^2*d*n - 2*B^2*b^2*d*n)*(b*x + a)^2/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^2) - 48*(B^2*b^3*n^2 - A*B*b^3*n - B^2*b^3*n)*(b*x + a)/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)))*log((b*x + a)/(d*x + c)) - 9*(B^2*d^3*n^2 - 4*A*B*d^3*n - 4*B^2*d^3*n + 8*A^2*d^3 + 16*A*B*d^3 + 8*B^2*d^3)*(b*x + a)^4/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^4) + 32*(2*B^2*b*d^2*n^2 - 6*A*B*b*d^2*n - 6*B^2*b*d^2*n + 9*A^2*b*d^2 + 18*A*B*b*d^2 + 9*B^2*b*d^2)*(b*x + a)^3/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^3) - 216*(B^2*b^2*d*n^2 - 2*A*B*b^2*d*n - 2*B^2*b^2*d*n + 2*A^2*b^2*d + 4*A*B*b^2*d + 2*B^2*b^2*d)*(b*x + a)^2/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)^2) + 288*(2*B^2*b^3*n^2 - 2*A*B*b^3*n - 2*B^2*b^3*n + A^2*b^3 + 2*A*B*b^3 + B^2*b^3)*(b*x + a)/((b^3*c^3*g^5 - 3*a*b^2*c^2*d*g^5 + 3*a^2*b*c*d^2*g^5 - a^3*d^3*g^5)*(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
47,-1,0,0,0.000000," ","integrate((d*g*x+c*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,-1,0,0,0.000000," ","integrate((d*g*x+c*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,-1,0,0,0.000000," ","integrate(1/(d*g*x+c*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,-1,0,0,0.000000," ","integrate(1/(d*g*x+c*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,-1,0,0,0.000000," ","integrate(1/(d*g*x+c*g)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,0,0,0,0.000000," ","integrate((d*g*x+c*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{{\left(d g x + c g\right)}^{2}}{{\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((d*g*x + c*g)^2/(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2, x)","F",0
53,0,0,0,0.000000," ","integrate((d*g*x+c*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{d g x + c g}{{\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((d*g*x + c*g)/(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2, x)","F",0
54,0,0,0,0.000000," ","integrate(1/(d*g*x+c*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(d g x + c g\right)} {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((d*g*x + c*g)*(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2), x)","F",0
55,1,140,0,1.160193," ","integrate(1/(d*g*x+c*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","-{\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)} {\left(\frac{b x + a}{{\left(B^{2} g^{2} n^{2} \log\left(\frac{b x + a}{d x + c}\right) + A B g^{2} n + B^{2} g^{2} n\right)} {\left(d x + c\right)}} - \frac{{\rm Ei}\left(\frac{A}{B n} + \frac{1}{n} + \log\left(\frac{b x + a}{d x + c}\right)\right) e^{\left(-\frac{A}{B n} - \frac{1}{n}\right)}}{B^{2} g^{2} n^{2}}\right)}"," ",0,"-(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)*((b*x + a)/((B^2*g^2*n^2*log((b*x + a)/(d*x + c)) + A*B*g^2*n + B^2*g^2*n)*(d*x + c)) - Ei(A/(B*n) + 1/n + log((b*x + a)/(d*x + c)))*e^(-A/(B*n) - 1/n)/(B^2*g^2*n^2))","A",0
56,1,312,0,2.107919," ","integrate(1/(d*g*x+c*g)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","{\left(\frac{b {\rm Ei}\left(\frac{A}{B n} + \frac{1}{n} + \log\left(\frac{b x + a}{d x + c}\right)\right) e^{\left(-\frac{A}{B n} - \frac{1}{n}\right)}}{B^{2} b c g^{3} n^{2} - B^{2} a d g^{3} n^{2}} - \frac{2 \, d {\rm Ei}\left(\frac{2 \, A}{B n} + \frac{2}{n} + 2 \, \log\left(\frac{b x + a}{d x + c}\right)\right) e^{\left(-\frac{2 \, A}{B n} - \frac{2}{n}\right)}}{B^{2} b c g^{3} n^{2} - B^{2} a d g^{3} n^{2}} - \frac{\frac{{\left(b x + a\right)} b}{d x + c} - \frac{{\left(b x + a\right)}^{2} d}{{\left(d x + c\right)}^{2}}}{B^{2} b c g^{3} n^{2} \log\left(\frac{b x + a}{d x + c}\right) - B^{2} a d g^{3} n^{2} \log\left(\frac{b x + a}{d x + c}\right) + A B b c g^{3} n + B^{2} b c g^{3} n - A B a d g^{3} n - B^{2} a d g^{3} n}\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*Ei(A/(B*n) + 1/n + log((b*x + a)/(d*x + c)))*e^(-A/(B*n) - 1/n)/(B^2*b*c*g^3*n^2 - B^2*a*d*g^3*n^2) - 2*d*Ei(2*A/(B*n) + 2/n + 2*log((b*x + a)/(d*x + c)))*e^(-2*A/(B*n) - 2/n)/(B^2*b*c*g^3*n^2 - B^2*a*d*g^3*n^2) - ((b*x + a)*b/(d*x + c) - (b*x + a)^2*d/(d*x + c)^2)/(B^2*b*c*g^3*n^2*log((b*x + a)/(d*x + c)) - B^2*a*d*g^3*n^2*log((b*x + a)/(d*x + c)) + A*B*b*c*g^3*n + B^2*b*c*g^3*n - A*B*a*d*g^3*n - B^2*a*d*g^3*n))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","A",0
57,1,11806,0,15.160192," ","integrate((g*x+f)^4*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{60} \, {\left(\frac{12 \, {\left(5 \, B b^{6} c^{2} d^{4} f^{4} n - 10 \, B a b^{5} c d^{5} f^{4} n - \frac{20 \, {\left(b x + a\right)} B b^{5} c^{2} d^{5} f^{4} n}{d x + c} + 5 \, B a^{2} b^{4} d^{6} f^{4} n + \frac{40 \, {\left(b x + a\right)} B a b^{4} c d^{6} f^{4} n}{d x + c} + \frac{30 \, {\left(b x + a\right)}^{2} B b^{4} c^{2} d^{6} f^{4} n}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x + a\right)} B a^{2} b^{3} d^{7} f^{4} n}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} B a b^{3} c d^{7} f^{4} n}{{\left(d x + c\right)}^{2}} - \frac{20 \, {\left(b x + a\right)}^{3} B b^{3} c^{2} d^{7} f^{4} n}{{\left(d x + c\right)}^{3}} + \frac{30 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} d^{8} f^{4} n}{{\left(d x + c\right)}^{2}} + \frac{40 \, {\left(b x + a\right)}^{3} B a b^{2} c d^{8} f^{4} n}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} B b^{2} c^{2} d^{8} f^{4} n}{{\left(d x + c\right)}^{4}} - \frac{20 \, {\left(b x + a\right)}^{3} B a^{2} b d^{9} f^{4} n}{{\left(d x + c\right)}^{3}} - \frac{10 \, {\left(b x + a\right)}^{4} B a b c d^{9} f^{4} n}{{\left(d x + c\right)}^{4}} + \frac{5 \, {\left(b x + a\right)}^{4} B a^{2} d^{10} f^{4} n}{{\left(d x + c\right)}^{4}} - 10 \, B b^{6} c^{3} d^{3} f^{3} g n + 10 \, B a b^{5} c^{2} d^{4} f^{3} g n + \frac{50 \, {\left(b x + a\right)} B b^{5} c^{3} d^{4} f^{3} g n}{d x + c} + 10 \, B a^{2} b^{4} c d^{5} f^{3} g n - \frac{70 \, {\left(b x + a\right)} B a b^{4} c^{2} d^{5} f^{3} g n}{d x + c} - \frac{90 \, {\left(b x + a\right)}^{2} B b^{4} c^{3} d^{5} f^{3} g n}{{\left(d x + c\right)}^{2}} - 10 \, B a^{3} b^{3} d^{6} f^{3} g n - \frac{10 \, {\left(b x + a\right)} B a^{2} b^{3} c d^{6} f^{3} g n}{d x + c} + \frac{150 \, {\left(b x + a\right)}^{2} B a b^{3} c^{2} d^{6} f^{3} g n}{{\left(d x + c\right)}^{2}} + \frac{70 \, {\left(b x + a\right)}^{3} B b^{3} c^{3} d^{6} f^{3} g n}{{\left(d x + c\right)}^{3}} + \frac{30 \, {\left(b x + a\right)} B a^{3} b^{2} d^{7} f^{3} g n}{d x + c} - \frac{30 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c d^{7} f^{3} g n}{{\left(d x + c\right)}^{2}} - \frac{130 \, {\left(b x + a\right)}^{3} B a b^{2} c^{2} d^{7} f^{3} g n}{{\left(d x + c\right)}^{3}} - \frac{20 \, {\left(b x + a\right)}^{4} B b^{2} c^{3} d^{7} f^{3} g n}{{\left(d x + c\right)}^{4}} - \frac{30 \, {\left(b x + a\right)}^{2} B a^{3} b d^{8} f^{3} g n}{{\left(d x + c\right)}^{2}} + \frac{50 \, {\left(b x + a\right)}^{3} B a^{2} b c d^{8} f^{3} g n}{{\left(d x + c\right)}^{3}} + \frac{40 \, {\left(b x + a\right)}^{4} B a b c^{2} d^{8} f^{3} g n}{{\left(d x + c\right)}^{4}} + \frac{10 \, {\left(b x + a\right)}^{3} B a^{3} d^{9} f^{3} g n}{{\left(d x + c\right)}^{3}} - \frac{20 \, {\left(b x + a\right)}^{4} B a^{2} c d^{9} f^{3} g n}{{\left(d x + c\right)}^{4}} + 10 \, B b^{6} c^{4} d^{2} f^{2} g^{2} n - 10 \, B a b^{5} c^{3} d^{3} f^{2} g^{2} n - \frac{50 \, {\left(b x + a\right)} B b^{5} c^{4} d^{3} f^{2} g^{2} n}{d x + c} + \frac{50 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{4} f^{2} g^{2} n}{d x + c} + \frac{100 \, {\left(b x + a\right)}^{2} B b^{4} c^{4} d^{4} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - 10 \, B a^{3} b^{3} c d^{5} f^{2} g^{2} n + \frac{30 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{5} f^{2} g^{2} n}{d x + c} - \frac{130 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{5} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{90 \, {\left(b x + a\right)}^{3} B b^{3} c^{4} d^{5} f^{2} g^{2} n}{{\left(d x + c\right)}^{3}} + 10 \, B a^{4} b^{2} d^{6} f^{2} g^{2} n - \frac{10 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{6} f^{2} g^{2} n}{d x + c} - \frac{30 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{6} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{150 \, {\left(b x + a\right)}^{3} B a b^{2} c^{3} d^{6} f^{2} g^{2} n}{{\left(d x + c\right)}^{3}} + \frac{30 \, {\left(b x + a\right)}^{4} B b^{2} c^{4} d^{6} f^{2} g^{2} n}{{\left(d x + c\right)}^{4}} - \frac{20 \, {\left(b x + a\right)} B a^{4} b d^{7} f^{2} g^{2} n}{d x + c} + \frac{50 \, {\left(b x + a\right)}^{2} B a^{3} b c d^{7} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{30 \, {\left(b x + a\right)}^{3} B a^{2} b c^{2} d^{7} f^{2} g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x + a\right)}^{4} B a b c^{3} d^{7} f^{2} g^{2} n}{{\left(d x + c\right)}^{4}} + \frac{10 \, {\left(b x + a\right)}^{2} B a^{4} d^{8} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{30 \, {\left(b x + a\right)}^{3} B a^{3} c d^{8} f^{2} g^{2} n}{{\left(d x + c\right)}^{3}} + \frac{30 \, {\left(b x + a\right)}^{4} B a^{2} c^{2} d^{8} f^{2} g^{2} n}{{\left(d x + c\right)}^{4}} - 5 \, B b^{6} c^{5} d f g^{3} n + 5 \, B a b^{5} c^{4} d^{2} f g^{3} n + \frac{25 \, {\left(b x + a\right)} B b^{5} c^{5} d^{2} f g^{3} n}{d x + c} - \frac{25 \, {\left(b x + a\right)} B a b^{4} c^{4} d^{3} f g^{3} n}{d x + c} - \frac{50 \, {\left(b x + a\right)}^{2} B b^{4} c^{5} d^{3} f g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{50 \, {\left(b x + a\right)}^{2} B a b^{3} c^{4} d^{4} f g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{50 \, {\left(b x + a\right)}^{3} B b^{3} c^{5} d^{4} f g^{3} n}{{\left(d x + c\right)}^{3}} + 5 \, B a^{4} b^{2} c d^{5} f g^{3} n - \frac{20 \, {\left(b x + a\right)} B a^{3} b^{2} c^{2} d^{5} f g^{3} n}{d x + c} + \frac{30 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{3} d^{5} f g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{70 \, {\left(b x + a\right)}^{3} B a b^{2} c^{4} d^{5} f g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{20 \, {\left(b x + a\right)}^{4} B b^{2} c^{5} d^{5} f g^{3} n}{{\left(d x + c\right)}^{4}} - 5 \, B a^{5} b d^{6} f g^{3} n + \frac{15 \, {\left(b x + a\right)} B a^{4} b c d^{6} f g^{3} n}{d x + c} - \frac{10 \, {\left(b x + a\right)}^{2} B a^{3} b c^{2} d^{6} f g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} B a^{2} b c^{3} d^{6} f g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{40 \, {\left(b x + a\right)}^{4} B a b c^{4} d^{6} f g^{3} n}{{\left(d x + c\right)}^{4}} + \frac{5 \, {\left(b x + a\right)} B a^{5} d^{7} f g^{3} n}{d x + c} - \frac{20 \, {\left(b x + a\right)}^{2} B a^{4} c d^{7} f g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{30 \, {\left(b x + a\right)}^{3} B a^{3} c^{2} d^{7} f g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{20 \, {\left(b x + a\right)}^{4} B a^{2} c^{3} d^{7} f g^{3} n}{{\left(d x + c\right)}^{4}} + B b^{6} c^{6} g^{4} n - B a b^{5} c^{5} d g^{4} n - \frac{5 \, {\left(b x + a\right)} B b^{5} c^{6} d g^{4} n}{d x + c} + \frac{5 \, {\left(b x + a\right)} B a b^{4} c^{5} d^{2} g^{4} n}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} B b^{4} c^{6} d^{2} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{2} B a b^{3} c^{5} d^{3} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} B b^{3} c^{6} d^{3} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{10 \, {\left(b x + a\right)}^{3} B a b^{2} c^{5} d^{4} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} B b^{2} c^{6} d^{4} g^{4} n}{{\left(d x + c\right)}^{4}} - B a^{5} b c d^{5} g^{4} n + \frac{5 \, {\left(b x + a\right)} B a^{4} b c^{2} d^{5} g^{4} n}{d x + c} - \frac{10 \, {\left(b x + a\right)}^{2} B a^{3} b c^{3} d^{5} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{10 \, {\left(b x + a\right)}^{3} B a^{2} b c^{4} d^{5} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{10 \, {\left(b x + a\right)}^{4} B a b c^{5} d^{5} g^{4} n}{{\left(d x + c\right)}^{4}} + B a^{6} d^{6} g^{4} n - \frac{5 \, {\left(b x + a\right)} B a^{5} c d^{6} g^{4} n}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} B a^{4} c^{2} d^{6} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} B a^{3} c^{3} d^{6} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} B a^{2} c^{4} d^{6} g^{4} n}{{\left(d x + c\right)}^{4}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{5} d^{5} - \frac{5 \, {\left(b x + a\right)} b^{4} d^{6}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{3} d^{7}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{2} d^{8}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b d^{9}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} d^{10}}{{\left(d x + c\right)}^{5}}} - \frac{120 \, B b^{10} c^{3} d^{3} f^{3} g n - 360 \, B a b^{9} c^{2} d^{4} f^{3} g n - \frac{480 \, {\left(b x + a\right)} B b^{9} c^{3} d^{4} f^{3} g n}{d x + c} + 360 \, B a^{2} b^{8} c d^{5} f^{3} g n + \frac{1440 \, {\left(b x + a\right)} B a b^{8} c^{2} d^{5} f^{3} g n}{d x + c} + \frac{720 \, {\left(b x + a\right)}^{2} B b^{8} c^{3} d^{5} f^{3} g n}{{\left(d x + c\right)}^{2}} - 120 \, B a^{3} b^{7} d^{6} f^{3} g n - \frac{1440 \, {\left(b x + a\right)} B a^{2} b^{7} c d^{6} f^{3} g n}{d x + c} - \frac{2160 \, {\left(b x + a\right)}^{2} B a b^{7} c^{2} d^{6} f^{3} g n}{{\left(d x + c\right)}^{2}} - \frac{480 \, {\left(b x + a\right)}^{3} B b^{7} c^{3} d^{6} f^{3} g n}{{\left(d x + c\right)}^{3}} + \frac{480 \, {\left(b x + a\right)} B a^{3} b^{6} d^{7} f^{3} g n}{d x + c} + \frac{2160 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c d^{7} f^{3} g n}{{\left(d x + c\right)}^{2}} + \frac{1440 \, {\left(b x + a\right)}^{3} B a b^{6} c^{2} d^{7} f^{3} g n}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x + a\right)}^{4} B b^{6} c^{3} d^{7} f^{3} g n}{{\left(d x + c\right)}^{4}} - \frac{720 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} d^{8} f^{3} g n}{{\left(d x + c\right)}^{2}} - \frac{1440 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c d^{8} f^{3} g n}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x + a\right)}^{4} B a b^{5} c^{2} d^{8} f^{3} g n}{{\left(d x + c\right)}^{4}} + \frac{480 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} d^{9} f^{3} g n}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c d^{9} f^{3} g n}{{\left(d x + c\right)}^{4}} - \frac{120 \, {\left(b x + a\right)}^{4} B a^{3} b^{3} d^{10} f^{3} g n}{{\left(d x + c\right)}^{4}} - 180 \, B b^{10} c^{4} d^{2} f^{2} g^{2} n + 360 \, B a b^{9} c^{3} d^{3} f^{2} g^{2} n + \frac{780 \, {\left(b x + a\right)} B b^{9} c^{4} d^{3} f^{2} g^{2} n}{d x + c} - \frac{1680 \, {\left(b x + a\right)} B a b^{8} c^{3} d^{4} f^{2} g^{2} n}{d x + c} - \frac{1260 \, {\left(b x + a\right)}^{2} B b^{8} c^{4} d^{4} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - 360 \, B a^{3} b^{7} c d^{5} f^{2} g^{2} n + \frac{360 \, {\left(b x + a\right)} B a^{2} b^{7} c^{2} d^{5} f^{2} g^{2} n}{d x + c} + \frac{2880 \, {\left(b x + a\right)}^{2} B a b^{7} c^{3} d^{5} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{900 \, {\left(b x + a\right)}^{3} B b^{7} c^{4} d^{5} f^{2} g^{2} n}{{\left(d x + c\right)}^{3}} + 180 \, B a^{4} b^{6} d^{6} f^{2} g^{2} n + \frac{1200 \, {\left(b x + a\right)} B a^{3} b^{6} c d^{6} f^{2} g^{2} n}{d x + c} - \frac{1080 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{2} d^{6} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{2160 \, {\left(b x + a\right)}^{3} B a b^{6} c^{3} d^{6} f^{2} g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{240 \, {\left(b x + a\right)}^{4} B b^{6} c^{4} d^{6} f^{2} g^{2} n}{{\left(d x + c\right)}^{4}} - \frac{660 \, {\left(b x + a\right)} B a^{4} b^{5} d^{7} f^{2} g^{2} n}{d x + c} - \frac{1440 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c d^{7} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{1080 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{2} d^{7} f^{2} g^{2} n}{{\left(d x + c\right)}^{3}} + \frac{600 \, {\left(b x + a\right)}^{4} B a b^{5} c^{3} d^{7} f^{2} g^{2} n}{{\left(d x + c\right)}^{4}} + \frac{900 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} d^{8} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{720 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c d^{8} f^{2} g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{2} d^{8} f^{2} g^{2} n}{{\left(d x + c\right)}^{4}} - \frac{540 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} d^{9} f^{2} g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x + a\right)}^{4} B a^{3} b^{3} c d^{9} f^{2} g^{2} n}{{\left(d x + c\right)}^{4}} + \frac{120 \, {\left(b x + a\right)}^{4} B a^{4} b^{2} d^{10} f^{2} g^{2} n}{{\left(d x + c\right)}^{4}} + 110 \, B b^{10} c^{5} d f g^{3} n - 190 \, B a b^{9} c^{4} d^{2} f g^{3} n - \frac{490 \, {\left(b x + a\right)} B b^{9} c^{5} d^{2} f g^{3} n}{d x + c} + 20 \, B a^{2} b^{8} c^{3} d^{3} f g^{3} n + \frac{890 \, {\left(b x + a\right)} B a b^{8} c^{4} d^{3} f g^{3} n}{d x + c} + \frac{830 \, {\left(b x + a\right)}^{2} B b^{8} c^{5} d^{3} f g^{3} n}{{\left(d x + c\right)}^{2}} - 20 \, B a^{3} b^{7} c^{2} d^{4} f g^{3} n - \frac{100 \, {\left(b x + a\right)} B a^{2} b^{7} c^{3} d^{4} f g^{3} n}{d x + c} - \frac{1630 \, {\left(b x + a\right)}^{2} B a b^{7} c^{4} d^{4} f g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{630 \, {\left(b x + a\right)}^{3} B b^{7} c^{5} d^{4} f g^{3} n}{{\left(d x + c\right)}^{3}} + 190 \, B a^{4} b^{6} c d^{5} f g^{3} n - \frac{140 \, {\left(b x + a\right)} B a^{3} b^{6} c^{2} d^{5} f g^{3} n}{d x + c} + \frac{380 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{3} d^{5} f g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{1350 \, {\left(b x + a\right)}^{3} B a b^{6} c^{4} d^{5} f g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{180 \, {\left(b x + a\right)}^{4} B b^{6} c^{5} d^{5} f g^{3} n}{{\left(d x + c\right)}^{4}} - 110 \, B a^{5} b^{5} d^{6} f g^{3} n - \frac{530 \, {\left(b x + a\right)} B a^{4} b^{5} c d^{6} f g^{3} n}{d x + c} + \frac{340 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{2} d^{6} f g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{540 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{3} d^{6} f g^{3} n}{{\left(d x + c\right)}^{3}} - \frac{420 \, {\left(b x + a\right)}^{4} B a b^{5} c^{4} d^{6} f g^{3} n}{{\left(d x + c\right)}^{4}} + \frac{370 \, {\left(b x + a\right)} B a^{5} b^{4} d^{7} f g^{3} n}{d x + c} + \frac{550 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c d^{7} f g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{180 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{2} d^{7} f g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{3} d^{7} f g^{3} n}{{\left(d x + c\right)}^{4}} - \frac{470 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} d^{8} f g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{270 \, {\left(b x + a\right)}^{3} B a^{4} b^{3} c d^{8} f g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{270 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} d^{9} f g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{60 \, {\left(b x + a\right)}^{4} B a^{4} b^{2} c d^{9} f g^{3} n}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x + a\right)}^{4} B a^{5} b d^{10} f g^{3} n}{{\left(d x + c\right)}^{4}} - 25 \, B b^{10} c^{6} g^{4} n + 40 \, B a b^{9} c^{5} d g^{4} n + \frac{113 \, {\left(b x + a\right)} B b^{9} c^{6} d g^{4} n}{d x + c} - 5 \, B a^{2} b^{8} c^{4} d^{2} g^{4} n - \frac{188 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g^{4} n}{d x + c} - \frac{196 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{25 \, {\left(b x + a\right)} B a^{2} b^{7} c^{4} d^{3} g^{4} n}{d x + c} + \frac{346 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{156 \, {\left(b x + a\right)}^{3} B b^{7} c^{6} d^{3} g^{4} n}{{\left(d x + c\right)}^{3}} + 5 \, B a^{4} b^{6} c^{2} d^{4} g^{4} n - \frac{50 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{4} d^{4} g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{306 \, {\left(b x + a\right)}^{3} B a b^{6} c^{5} d^{4} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{48 \, {\left(b x + a\right)}^{4} B b^{6} c^{6} d^{4} g^{4} n}{{\left(d x + c\right)}^{4}} - 40 \, B a^{5} b^{5} c d^{5} g^{4} n + \frac{35 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g^{4} n}{d x + c} - \frac{60 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{90 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{4} d^{5} g^{4} n}{{\left(d x + c\right)}^{3}} + \frac{108 \, {\left(b x + a\right)}^{4} B a b^{5} c^{5} d^{5} g^{4} n}{{\left(d x + c\right)}^{4}} + 25 \, B a^{6} b^{4} d^{6} g^{4} n + \frac{92 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g^{4} n}{d x + c} - \frac{40 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g^{4} 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^{4} n}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{4} d^{6} g^{4} n}{{\left(d x + c\right)}^{4}} - \frac{77 \, {\left(b x + a\right)} B a^{6} b^{3} d^{7} g^{4} n}{d x + c} - \frac{94 \, {\left(b x + a\right)}^{2} B a^{5} b^{3} c d^{7} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{94 \, {\left(b x + a\right)}^{2} B a^{6} b^{2} d^{8} g^{4} n}{{\left(d x + c\right)}^{2}} + \frac{54 \, {\left(b x + a\right)}^{3} B a^{5} b^{2} c d^{8} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{54 \, {\left(b x + a\right)}^{3} B a^{6} b d^{9} g^{4} n}{{\left(d x + c\right)}^{3}} - \frac{12 \, {\left(b x + a\right)}^{4} B a^{5} b c d^{9} g^{4} n}{{\left(d x + c\right)}^{4}} + \frac{12 \, {\left(b x + a\right)}^{4} B a^{6} d^{10} g^{4} n}{{\left(d x + c\right)}^{4}} - 60 \, A b^{10} c^{2} d^{4} f^{4} - 60 \, B b^{10} c^{2} d^{4} f^{4} + 120 \, A a b^{9} c d^{5} f^{4} + 120 \, B a b^{9} c d^{5} f^{4} + \frac{240 \, {\left(b x + a\right)} A b^{9} c^{2} d^{5} f^{4}}{d x + c} + \frac{240 \, {\left(b x + a\right)} B b^{9} c^{2} d^{5} f^{4}}{d x + c} - 60 \, A a^{2} b^{8} d^{6} f^{4} - 60 \, B a^{2} b^{8} d^{6} f^{4} - \frac{480 \, {\left(b x + a\right)} A a b^{8} c d^{6} f^{4}}{d x + c} - \frac{480 \, {\left(b x + a\right)} B a b^{8} c d^{6} f^{4}}{d x + c} - \frac{360 \, {\left(b x + a\right)}^{2} A b^{8} c^{2} d^{6} f^{4}}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x + a\right)}^{2} B b^{8} c^{2} d^{6} f^{4}}{{\left(d x + c\right)}^{2}} + \frac{240 \, {\left(b x + a\right)} A a^{2} b^{7} d^{7} f^{4}}{d x + c} + \frac{240 \, {\left(b x + a\right)} B a^{2} b^{7} d^{7} f^{4}}{d x + c} + \frac{720 \, {\left(b x + a\right)}^{2} A a b^{7} c d^{7} f^{4}}{{\left(d x + c\right)}^{2}} + \frac{720 \, {\left(b x + a\right)}^{2} B a b^{7} c d^{7} f^{4}}{{\left(d x + c\right)}^{2}} + \frac{240 \, {\left(b x + a\right)}^{3} A b^{7} c^{2} d^{7} f^{4}}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x + a\right)}^{3} B b^{7} c^{2} d^{7} f^{4}}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x + a\right)}^{2} A a^{2} b^{6} d^{8} f^{4}}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} d^{8} f^{4}}{{\left(d x + c\right)}^{2}} - \frac{480 \, {\left(b x + a\right)}^{3} A a b^{6} c d^{8} f^{4}}{{\left(d x + c\right)}^{3}} - \frac{480 \, {\left(b x + a\right)}^{3} B a b^{6} c d^{8} f^{4}}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x + a\right)}^{4} A b^{6} c^{2} d^{8} f^{4}}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x + a\right)}^{4} B b^{6} c^{2} d^{8} f^{4}}{{\left(d x + c\right)}^{4}} + \frac{240 \, {\left(b x + a\right)}^{3} A a^{2} b^{5} d^{9} f^{4}}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} d^{9} f^{4}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x + a\right)}^{4} A a b^{5} c d^{9} f^{4}}{{\left(d x + c\right)}^{4}} + \frac{120 \, {\left(b x + a\right)}^{4} B a b^{5} c d^{9} f^{4}}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x + a\right)}^{4} A a^{2} b^{4} d^{10} f^{4}}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} d^{10} f^{4}}{{\left(d x + c\right)}^{4}} + 120 \, A b^{10} c^{3} d^{3} f^{3} g + 120 \, B b^{10} c^{3} d^{3} f^{3} g - 120 \, A a b^{9} c^{2} d^{4} f^{3} g - 120 \, B a b^{9} c^{2} d^{4} f^{3} g - \frac{600 \, {\left(b x + a\right)} A b^{9} c^{3} d^{4} f^{3} g}{d x + c} - \frac{600 \, {\left(b x + a\right)} B b^{9} c^{3} d^{4} f^{3} g}{d x + c} - 120 \, A a^{2} b^{8} c d^{5} f^{3} g - 120 \, B a^{2} b^{8} c d^{5} f^{3} g + \frac{840 \, {\left(b x + a\right)} A a b^{8} c^{2} d^{5} f^{3} g}{d x + c} + \frac{840 \, {\left(b x + a\right)} B a b^{8} c^{2} d^{5} f^{3} g}{d x + c} + \frac{1080 \, {\left(b x + a\right)}^{2} A b^{8} c^{3} d^{5} f^{3} g}{{\left(d x + c\right)}^{2}} + \frac{1080 \, {\left(b x + a\right)}^{2} B b^{8} c^{3} d^{5} f^{3} g}{{\left(d x + c\right)}^{2}} + 120 \, A a^{3} b^{7} d^{6} f^{3} g + 120 \, B a^{3} b^{7} d^{6} f^{3} g + \frac{120 \, {\left(b x + a\right)} A a^{2} b^{7} c d^{6} f^{3} g}{d x + c} + \frac{120 \, {\left(b x + a\right)} B a^{2} b^{7} c d^{6} f^{3} g}{d x + c} - \frac{1800 \, {\left(b x + a\right)}^{2} A a b^{7} c^{2} d^{6} f^{3} g}{{\left(d x + c\right)}^{2}} - \frac{1800 \, {\left(b x + a\right)}^{2} B a b^{7} c^{2} d^{6} f^{3} g}{{\left(d x + c\right)}^{2}} - \frac{840 \, {\left(b x + a\right)}^{3} A b^{7} c^{3} d^{6} f^{3} g}{{\left(d x + c\right)}^{3}} - \frac{840 \, {\left(b x + a\right)}^{3} B b^{7} c^{3} d^{6} f^{3} g}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x + a\right)} A a^{3} b^{6} d^{7} f^{3} g}{d x + c} - \frac{360 \, {\left(b x + a\right)} B a^{3} b^{6} d^{7} f^{3} g}{d x + c} + \frac{360 \, {\left(b x + a\right)}^{2} A a^{2} b^{6} c d^{7} f^{3} g}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c d^{7} f^{3} g}{{\left(d x + c\right)}^{2}} + \frac{1560 \, {\left(b x + a\right)}^{3} A a b^{6} c^{2} d^{7} f^{3} g}{{\left(d x + c\right)}^{3}} + \frac{1560 \, {\left(b x + a\right)}^{3} B a b^{6} c^{2} d^{7} f^{3} g}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x + a\right)}^{4} A b^{6} c^{3} d^{7} f^{3} g}{{\left(d x + c\right)}^{4}} + \frac{240 \, {\left(b x + a\right)}^{4} B b^{6} c^{3} d^{7} f^{3} g}{{\left(d x + c\right)}^{4}} + \frac{360 \, {\left(b x + a\right)}^{2} A a^{3} b^{5} d^{8} f^{3} g}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} d^{8} f^{3} g}{{\left(d x + c\right)}^{2}} - \frac{600 \, {\left(b x + a\right)}^{3} A a^{2} b^{5} c d^{8} f^{3} g}{{\left(d x + c\right)}^{3}} - \frac{600 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c d^{8} f^{3} g}{{\left(d x + c\right)}^{3}} - \frac{480 \, {\left(b x + a\right)}^{4} A a b^{5} c^{2} d^{8} f^{3} g}{{\left(d x + c\right)}^{4}} - \frac{480 \, {\left(b x + a\right)}^{4} B a b^{5} c^{2} d^{8} f^{3} g}{{\left(d x + c\right)}^{4}} - \frac{120 \, {\left(b x + a\right)}^{3} A a^{3} b^{4} d^{9} f^{3} g}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} d^{9} f^{3} g}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x + a\right)}^{4} A a^{2} b^{4} c d^{9} f^{3} g}{{\left(d x + c\right)}^{4}} + \frac{240 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c d^{9} f^{3} g}{{\left(d x + c\right)}^{4}} - 120 \, A b^{10} c^{4} d^{2} f^{2} g^{2} - 120 \, B b^{10} c^{4} d^{2} f^{2} g^{2} + 120 \, A a b^{9} c^{3} d^{3} f^{2} g^{2} + 120 \, B a b^{9} c^{3} d^{3} f^{2} g^{2} + \frac{600 \, {\left(b x + a\right)} A b^{9} c^{4} d^{3} f^{2} g^{2}}{d x + c} + \frac{600 \, {\left(b x + a\right)} B b^{9} c^{4} d^{3} f^{2} g^{2}}{d x + c} - \frac{600 \, {\left(b x + a\right)} A a b^{8} c^{3} d^{4} f^{2} g^{2}}{d x + c} - \frac{600 \, {\left(b x + a\right)} B a b^{8} c^{3} d^{4} f^{2} g^{2}}{d x + c} - \frac{1200 \, {\left(b x + a\right)}^{2} A b^{8} c^{4} d^{4} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{1200 \, {\left(b x + a\right)}^{2} B b^{8} c^{4} d^{4} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + 120 \, A a^{3} b^{7} c d^{5} f^{2} g^{2} + 120 \, B a^{3} b^{7} c d^{5} f^{2} g^{2} - \frac{360 \, {\left(b x + a\right)} A a^{2} b^{7} c^{2} d^{5} f^{2} g^{2}}{d x + c} - \frac{360 \, {\left(b x + a\right)} B a^{2} b^{7} c^{2} d^{5} f^{2} g^{2}}{d x + c} + \frac{1560 \, {\left(b x + a\right)}^{2} A a b^{7} c^{3} d^{5} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{1560 \, {\left(b x + a\right)}^{2} B a b^{7} c^{3} d^{5} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{1080 \, {\left(b x + a\right)}^{3} A b^{7} c^{4} d^{5} f^{2} g^{2}}{{\left(d x + c\right)}^{3}} + \frac{1080 \, {\left(b x + a\right)}^{3} B b^{7} c^{4} d^{5} f^{2} g^{2}}{{\left(d x + c\right)}^{3}} - 120 \, A a^{4} b^{6} d^{6} f^{2} g^{2} - 120 \, B a^{4} b^{6} d^{6} f^{2} g^{2} + \frac{120 \, {\left(b x + a\right)} A a^{3} b^{6} c d^{6} f^{2} g^{2}}{d x + c} + \frac{120 \, {\left(b x + a\right)} B a^{3} b^{6} c d^{6} f^{2} g^{2}}{d x + c} + \frac{360 \, {\left(b x + a\right)}^{2} A a^{2} b^{6} c^{2} d^{6} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{2} d^{6} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{1800 \, {\left(b x + a\right)}^{3} A a b^{6} c^{3} d^{6} f^{2} g^{2}}{{\left(d x + c\right)}^{3}} - \frac{1800 \, {\left(b x + a\right)}^{3} B a b^{6} c^{3} d^{6} f^{2} g^{2}}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x + a\right)}^{4} A b^{6} c^{4} d^{6} f^{2} g^{2}}{{\left(d x + c\right)}^{4}} - \frac{360 \, {\left(b x + a\right)}^{4} B b^{6} c^{4} d^{6} f^{2} g^{2}}{{\left(d x + c\right)}^{4}} + \frac{240 \, {\left(b x + a\right)} A a^{4} b^{5} d^{7} f^{2} g^{2}}{d x + c} + \frac{240 \, {\left(b x + a\right)} B a^{4} b^{5} d^{7} f^{2} g^{2}}{d x + c} - \frac{600 \, {\left(b x + a\right)}^{2} A a^{3} b^{5} c d^{7} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{600 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c d^{7} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x + a\right)}^{3} A a^{2} b^{5} c^{2} d^{7} f^{2} g^{2}}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{2} d^{7} f^{2} g^{2}}{{\left(d x + c\right)}^{3}} + \frac{720 \, {\left(b x + a\right)}^{4} A a b^{5} c^{3} d^{7} f^{2} g^{2}}{{\left(d x + c\right)}^{4}} + \frac{720 \, {\left(b x + a\right)}^{4} B a b^{5} c^{3} d^{7} f^{2} g^{2}}{{\left(d x + c\right)}^{4}} - \frac{120 \, {\left(b x + a\right)}^{2} A a^{4} b^{4} d^{8} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} d^{8} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x + a\right)}^{3} A a^{3} b^{4} c d^{8} f^{2} g^{2}}{{\left(d x + c\right)}^{3}} + \frac{360 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c d^{8} f^{2} g^{2}}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x + a\right)}^{4} A a^{2} b^{4} c^{2} d^{8} f^{2} g^{2}}{{\left(d x + c\right)}^{4}} - \frac{360 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{2} d^{8} f^{2} g^{2}}{{\left(d x + c\right)}^{4}} + 60 \, A b^{10} c^{5} d f g^{3} + 60 \, B b^{10} c^{5} d f g^{3} - 60 \, A a b^{9} c^{4} d^{2} f g^{3} - 60 \, B a b^{9} c^{4} d^{2} f g^{3} - \frac{300 \, {\left(b x + a\right)} A b^{9} c^{5} d^{2} f g^{3}}{d x + c} - \frac{300 \, {\left(b x + a\right)} B b^{9} c^{5} d^{2} f g^{3}}{d x + c} + \frac{300 \, {\left(b x + a\right)} A a b^{8} c^{4} d^{3} f g^{3}}{d x + c} + \frac{300 \, {\left(b x + a\right)} B a b^{8} c^{4} d^{3} f g^{3}}{d x + c} + \frac{600 \, {\left(b x + a\right)}^{2} A b^{8} c^{5} d^{3} f g^{3}}{{\left(d x + c\right)}^{2}} + \frac{600 \, {\left(b x + a\right)}^{2} B b^{8} c^{5} d^{3} f g^{3}}{{\left(d x + c\right)}^{2}} - \frac{600 \, {\left(b x + a\right)}^{2} A a b^{7} c^{4} d^{4} f g^{3}}{{\left(d x + c\right)}^{2}} - \frac{600 \, {\left(b x + a\right)}^{2} B a b^{7} c^{4} d^{4} f g^{3}}{{\left(d x + c\right)}^{2}} - \frac{600 \, {\left(b x + a\right)}^{3} A b^{7} c^{5} d^{4} f g^{3}}{{\left(d x + c\right)}^{3}} - \frac{600 \, {\left(b x + a\right)}^{3} B b^{7} c^{5} d^{4} f g^{3}}{{\left(d x + c\right)}^{3}} - 60 \, A a^{4} b^{6} c d^{5} f g^{3} - 60 \, B a^{4} b^{6} c d^{5} f g^{3} + \frac{240 \, {\left(b x + a\right)} A a^{3} b^{6} c^{2} d^{5} f g^{3}}{d x + c} + \frac{240 \, {\left(b x + a\right)} B a^{3} b^{6} c^{2} d^{5} f g^{3}}{d x + c} - \frac{360 \, {\left(b x + a\right)}^{2} A a^{2} b^{6} c^{3} d^{5} f g^{3}}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x + a\right)}^{2} B a^{2} b^{6} c^{3} d^{5} f g^{3}}{{\left(d x + c\right)}^{2}} + \frac{840 \, {\left(b x + a\right)}^{3} A a b^{6} c^{4} d^{5} f g^{3}}{{\left(d x + c\right)}^{3}} + \frac{840 \, {\left(b x + a\right)}^{3} B a b^{6} c^{4} d^{5} f g^{3}}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x + a\right)}^{4} A b^{6} c^{5} d^{5} f g^{3}}{{\left(d x + c\right)}^{4}} + \frac{240 \, {\left(b x + a\right)}^{4} B b^{6} c^{5} d^{5} f g^{3}}{{\left(d x + c\right)}^{4}} + 60 \, A a^{5} b^{5} d^{6} f g^{3} + 60 \, B a^{5} b^{5} d^{6} f g^{3} - \frac{180 \, {\left(b x + a\right)} A a^{4} b^{5} c d^{6} f g^{3}}{d x + c} - \frac{180 \, {\left(b x + a\right)} B a^{4} b^{5} c d^{6} f g^{3}}{d x + c} + \frac{120 \, {\left(b x + a\right)}^{2} A a^{3} b^{5} c^{2} d^{6} f g^{3}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{2} d^{6} f g^{3}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{3} A a^{2} b^{5} c^{3} d^{6} f g^{3}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{3} d^{6} f g^{3}}{{\left(d x + c\right)}^{3}} - \frac{480 \, {\left(b x + a\right)}^{4} A a b^{5} c^{4} d^{6} f g^{3}}{{\left(d x + c\right)}^{4}} - \frac{480 \, {\left(b x + a\right)}^{4} B a b^{5} c^{4} d^{6} f g^{3}}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x + a\right)} A a^{5} b^{4} d^{7} f g^{3}}{d x + c} - \frac{60 \, {\left(b x + a\right)} B a^{5} b^{4} d^{7} f g^{3}}{d x + c} + \frac{240 \, {\left(b x + a\right)}^{2} A a^{4} b^{4} c d^{7} f g^{3}}{{\left(d x + c\right)}^{2}} + \frac{240 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c d^{7} f g^{3}}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x + a\right)}^{3} A a^{3} b^{4} c^{2} d^{7} f g^{3}}{{\left(d x + c\right)}^{3}} - \frac{360 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{2} d^{7} f g^{3}}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x + a\right)}^{4} A a^{2} b^{4} c^{3} d^{7} f g^{3}}{{\left(d x + c\right)}^{4}} + \frac{240 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{3} d^{7} f g^{3}}{{\left(d x + c\right)}^{4}} - 12 \, A b^{10} c^{6} g^{4} - 12 \, B b^{10} c^{6} g^{4} + 12 \, A a b^{9} c^{5} d g^{4} + 12 \, B a b^{9} c^{5} d g^{4} + \frac{60 \, {\left(b x + a\right)} A b^{9} c^{6} d g^{4}}{d x + c} + \frac{60 \, {\left(b x + a\right)} B b^{9} c^{6} d g^{4}}{d x + c} - \frac{60 \, {\left(b x + a\right)} A a b^{8} c^{5} d^{2} g^{4}}{d x + c} - \frac{60 \, {\left(b x + a\right)} B a b^{8} c^{5} d^{2} g^{4}}{d x + c} - \frac{120 \, {\left(b x + a\right)}^{2} A b^{8} c^{6} d^{2} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{2} B b^{8} c^{6} d^{2} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{2} A a b^{7} c^{5} d^{3} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{2} B a b^{7} c^{5} d^{3} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{3} A b^{7} c^{6} d^{3} g^{4}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x + a\right)}^{3} B b^{7} c^{6} d^{3} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x + a\right)}^{3} A a b^{6} c^{5} d^{4} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x + a\right)}^{3} B a b^{6} c^{5} d^{4} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x + a\right)}^{4} A b^{6} c^{6} d^{4} g^{4}}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x + a\right)}^{4} B b^{6} c^{6} d^{4} g^{4}}{{\left(d x + c\right)}^{4}} + 12 \, A a^{5} b^{5} c d^{5} g^{4} + 12 \, B a^{5} b^{5} c d^{5} g^{4} - \frac{60 \, {\left(b x + a\right)} A a^{4} b^{5} c^{2} d^{5} g^{4}}{d x + c} - \frac{60 \, {\left(b x + a\right)} B a^{4} b^{5} c^{2} d^{5} g^{4}}{d x + c} + \frac{120 \, {\left(b x + a\right)}^{2} A a^{3} b^{5} c^{3} d^{5} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{2} B a^{3} b^{5} c^{3} d^{5} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{3} A a^{2} b^{5} c^{4} d^{5} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x + a\right)}^{3} B a^{2} b^{5} c^{4} d^{5} g^{4}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x + a\right)}^{4} A a b^{5} c^{5} d^{5} g^{4}}{{\left(d x + c\right)}^{4}} + \frac{120 \, {\left(b x + a\right)}^{4} B a b^{5} c^{5} d^{5} g^{4}}{{\left(d x + c\right)}^{4}} - 12 \, A a^{6} b^{4} d^{6} g^{4} - 12 \, B a^{6} b^{4} d^{6} g^{4} + \frac{60 \, {\left(b x + a\right)} A a^{5} b^{4} c d^{6} g^{4}}{d x + c} + \frac{60 \, {\left(b x + a\right)} B a^{5} b^{4} c d^{6} g^{4}}{d x + c} - \frac{120 \, {\left(b x + a\right)}^{2} A a^{4} b^{4} c^{2} d^{6} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{2} B a^{4} b^{4} c^{2} d^{6} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x + a\right)}^{3} A a^{3} b^{4} c^{3} d^{6} g^{4}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x + a\right)}^{3} B a^{3} b^{4} c^{3} d^{6} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{60 \, {\left(b x + a\right)}^{4} A a^{2} b^{4} c^{4} d^{6} g^{4}}{{\left(d x + c\right)}^{4}} - \frac{60 \, {\left(b x + a\right)}^{4} B a^{2} b^{4} c^{4} d^{6} g^{4}}{{\left(d x + c\right)}^{4}}}{b^{9} d^{5} - \frac{5 \, {\left(b x + a\right)} b^{8} d^{6}}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} b^{7} d^{7}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x + a\right)}^{3} b^{6} d^{8}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x + a\right)}^{4} b^{5} d^{9}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x + a\right)}^{5} b^{4} d^{10}}{{\left(d x + c\right)}^{5}}} + \frac{12 \, {\left(5 \, B b^{6} c^{2} d^{4} f^{4} n - 10 \, B a b^{5} c d^{5} f^{4} n + 5 \, B a^{2} b^{4} d^{6} f^{4} n - 10 \, B b^{6} c^{3} d^{3} f^{3} g n + 10 \, B a b^{5} c^{2} d^{4} f^{3} g n + 10 \, B a^{2} b^{4} c d^{5} f^{3} g n - 10 \, B a^{3} b^{3} d^{6} f^{3} g n + 10 \, B b^{6} c^{4} d^{2} f^{2} g^{2} n - 10 \, B a b^{5} c^{3} d^{3} f^{2} g^{2} n - 10 \, B a^{3} b^{3} c d^{5} f^{2} g^{2} n + 10 \, B a^{4} b^{2} d^{6} f^{2} g^{2} n - 5 \, B b^{6} c^{5} d f g^{3} n + 5 \, B a b^{5} c^{4} d^{2} f g^{3} n + 5 \, B a^{4} b^{2} c d^{5} f g^{3} n - 5 \, B a^{5} b d^{6} f g^{3} n + B b^{6} c^{6} g^{4} n - B a b^{5} c^{5} d g^{4} n - B a^{5} b c d^{5} g^{4} n + B a^{6} d^{6} g^{4} n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{5} d^{5}} - \frac{12 \, {\left(5 \, B b^{6} c^{2} d^{4} f^{4} n - 10 \, B a b^{5} c d^{5} f^{4} n + 5 \, B a^{2} b^{4} d^{6} f^{4} n - 10 \, B b^{6} c^{3} d^{3} f^{3} g n + 10 \, B a b^{5} c^{2} d^{4} f^{3} g n + 10 \, B a^{2} b^{4} c d^{5} f^{3} g n - 10 \, B a^{3} b^{3} d^{6} f^{3} g n + 10 \, B b^{6} c^{4} d^{2} f^{2} g^{2} n - 10 \, B a b^{5} c^{3} d^{3} f^{2} g^{2} n - 10 \, B a^{3} b^{3} c d^{5} f^{2} g^{2} n + 10 \, B a^{4} b^{2} d^{6} f^{2} g^{2} n - 5 \, B b^{6} c^{5} d f g^{3} n + 5 \, B a b^{5} c^{4} d^{2} f g^{3} n + 5 \, B a^{4} b^{2} c d^{5} f g^{3} n - 5 \, B a^{5} b d^{6} f g^{3} n + B b^{6} c^{6} g^{4} n - B a b^{5} c^{5} d g^{4} n - B a^{5} b c d^{5} g^{4} n + B a^{6} d^{6} g^{4} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{5} d^{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,"1/60*(12*(5*B*b^6*c^2*d^4*f^4*n - 10*B*a*b^5*c*d^5*f^4*n - 20*(b*x + a)*B*b^5*c^2*d^5*f^4*n/(d*x + c) + 5*B*a^2*b^4*d^6*f^4*n + 40*(b*x + a)*B*a*b^4*c*d^6*f^4*n/(d*x + c) + 30*(b*x + a)^2*B*b^4*c^2*d^6*f^4*n/(d*x + c)^2 - 20*(b*x + a)*B*a^2*b^3*d^7*f^4*n/(d*x + c) - 60*(b*x + a)^2*B*a*b^3*c*d^7*f^4*n/(d*x + c)^2 - 20*(b*x + a)^3*B*b^3*c^2*d^7*f^4*n/(d*x + c)^3 + 30*(b*x + a)^2*B*a^2*b^2*d^8*f^4*n/(d*x + c)^2 + 40*(b*x + a)^3*B*a*b^2*c*d^8*f^4*n/(d*x + c)^3 + 5*(b*x + a)^4*B*b^2*c^2*d^8*f^4*n/(d*x + c)^4 - 20*(b*x + a)^3*B*a^2*b*d^9*f^4*n/(d*x + c)^3 - 10*(b*x + a)^4*B*a*b*c*d^9*f^4*n/(d*x + c)^4 + 5*(b*x + a)^4*B*a^2*d^10*f^4*n/(d*x + c)^4 - 10*B*b^6*c^3*d^3*f^3*g*n + 10*B*a*b^5*c^2*d^4*f^3*g*n + 50*(b*x + a)*B*b^5*c^3*d^4*f^3*g*n/(d*x + c) + 10*B*a^2*b^4*c*d^5*f^3*g*n - 70*(b*x + a)*B*a*b^4*c^2*d^5*f^3*g*n/(d*x + c) - 90*(b*x + a)^2*B*b^4*c^3*d^5*f^3*g*n/(d*x + c)^2 - 10*B*a^3*b^3*d^6*f^3*g*n - 10*(b*x + a)*B*a^2*b^3*c*d^6*f^3*g*n/(d*x + c) + 150*(b*x + a)^2*B*a*b^3*c^2*d^6*f^3*g*n/(d*x + c)^2 + 70*(b*x + a)^3*B*b^3*c^3*d^6*f^3*g*n/(d*x + c)^3 + 30*(b*x + a)*B*a^3*b^2*d^7*f^3*g*n/(d*x + c) - 30*(b*x + a)^2*B*a^2*b^2*c*d^7*f^3*g*n/(d*x + c)^2 - 130*(b*x + a)^3*B*a*b^2*c^2*d^7*f^3*g*n/(d*x + c)^3 - 20*(b*x + a)^4*B*b^2*c^3*d^7*f^3*g*n/(d*x + c)^4 - 30*(b*x + a)^2*B*a^3*b*d^8*f^3*g*n/(d*x + c)^2 + 50*(b*x + a)^3*B*a^2*b*c*d^8*f^3*g*n/(d*x + c)^3 + 40*(b*x + a)^4*B*a*b*c^2*d^8*f^3*g*n/(d*x + c)^4 + 10*(b*x + a)^3*B*a^3*d^9*f^3*g*n/(d*x + c)^3 - 20*(b*x + a)^4*B*a^2*c*d^9*f^3*g*n/(d*x + c)^4 + 10*B*b^6*c^4*d^2*f^2*g^2*n - 10*B*a*b^5*c^3*d^3*f^2*g^2*n - 50*(b*x + a)*B*b^5*c^4*d^3*f^2*g^2*n/(d*x + c) + 50*(b*x + a)*B*a*b^4*c^3*d^4*f^2*g^2*n/(d*x + c) + 100*(b*x + a)^2*B*b^4*c^4*d^4*f^2*g^2*n/(d*x + c)^2 - 10*B*a^3*b^3*c*d^5*f^2*g^2*n + 30*(b*x + a)*B*a^2*b^3*c^2*d^5*f^2*g^2*n/(d*x + c) - 130*(b*x + a)^2*B*a*b^3*c^3*d^5*f^2*g^2*n/(d*x + c)^2 - 90*(b*x + a)^3*B*b^3*c^4*d^5*f^2*g^2*n/(d*x + c)^3 + 10*B*a^4*b^2*d^6*f^2*g^2*n - 10*(b*x + a)*B*a^3*b^2*c*d^6*f^2*g^2*n/(d*x + c) - 30*(b*x + a)^2*B*a^2*b^2*c^2*d^6*f^2*g^2*n/(d*x + c)^2 + 150*(b*x + a)^3*B*a*b^2*c^3*d^6*f^2*g^2*n/(d*x + c)^3 + 30*(b*x + a)^4*B*b^2*c^4*d^6*f^2*g^2*n/(d*x + c)^4 - 20*(b*x + a)*B*a^4*b*d^7*f^2*g^2*n/(d*x + c) + 50*(b*x + a)^2*B*a^3*b*c*d^7*f^2*g^2*n/(d*x + c)^2 - 30*(b*x + a)^3*B*a^2*b*c^2*d^7*f^2*g^2*n/(d*x + c)^3 - 60*(b*x + a)^4*B*a*b*c^3*d^7*f^2*g^2*n/(d*x + c)^4 + 10*(b*x + a)^2*B*a^4*d^8*f^2*g^2*n/(d*x + c)^2 - 30*(b*x + a)^3*B*a^3*c*d^8*f^2*g^2*n/(d*x + c)^3 + 30*(b*x + a)^4*B*a^2*c^2*d^8*f^2*g^2*n/(d*x + c)^4 - 5*B*b^6*c^5*d*f*g^3*n + 5*B*a*b^5*c^4*d^2*f*g^3*n + 25*(b*x + a)*B*b^5*c^5*d^2*f*g^3*n/(d*x + c) - 25*(b*x + a)*B*a*b^4*c^4*d^3*f*g^3*n/(d*x + c) - 50*(b*x + a)^2*B*b^4*c^5*d^3*f*g^3*n/(d*x + c)^2 + 50*(b*x + a)^2*B*a*b^3*c^4*d^4*f*g^3*n/(d*x + c)^2 + 50*(b*x + a)^3*B*b^3*c^5*d^4*f*g^3*n/(d*x + c)^3 + 5*B*a^4*b^2*c*d^5*f*g^3*n - 20*(b*x + a)*B*a^3*b^2*c^2*d^5*f*g^3*n/(d*x + c) + 30*(b*x + a)^2*B*a^2*b^2*c^3*d^5*f*g^3*n/(d*x + c)^2 - 70*(b*x + a)^3*B*a*b^2*c^4*d^5*f*g^3*n/(d*x + c)^3 - 20*(b*x + a)^4*B*b^2*c^5*d^5*f*g^3*n/(d*x + c)^4 - 5*B*a^5*b*d^6*f*g^3*n + 15*(b*x + a)*B*a^4*b*c*d^6*f*g^3*n/(d*x + c) - 10*(b*x + a)^2*B*a^3*b*c^2*d^6*f*g^3*n/(d*x + c)^2 - 10*(b*x + a)^3*B*a^2*b*c^3*d^6*f*g^3*n/(d*x + c)^3 + 40*(b*x + a)^4*B*a*b*c^4*d^6*f*g^3*n/(d*x + c)^4 + 5*(b*x + a)*B*a^5*d^7*f*g^3*n/(d*x + c) - 20*(b*x + a)^2*B*a^4*c*d^7*f*g^3*n/(d*x + c)^2 + 30*(b*x + a)^3*B*a^3*c^2*d^7*f*g^3*n/(d*x + c)^3 - 20*(b*x + a)^4*B*a^2*c^3*d^7*f*g^3*n/(d*x + c)^4 + B*b^6*c^6*g^4*n - B*a*b^5*c^5*d*g^4*n - 5*(b*x + a)*B*b^5*c^6*d*g^4*n/(d*x + c) + 5*(b*x + a)*B*a*b^4*c^5*d^2*g^4*n/(d*x + c) + 10*(b*x + a)^2*B*b^4*c^6*d^2*g^4*n/(d*x + c)^2 - 10*(b*x + a)^2*B*a*b^3*c^5*d^3*g^4*n/(d*x + c)^2 - 10*(b*x + a)^3*B*b^3*c^6*d^3*g^4*n/(d*x + c)^3 + 10*(b*x + a)^3*B*a*b^2*c^5*d^4*g^4*n/(d*x + c)^3 + 5*(b*x + a)^4*B*b^2*c^6*d^4*g^4*n/(d*x + c)^4 - B*a^5*b*c*d^5*g^4*n + 5*(b*x + a)*B*a^4*b*c^2*d^5*g^4*n/(d*x + c) - 10*(b*x + a)^2*B*a^3*b*c^3*d^5*g^4*n/(d*x + c)^2 + 10*(b*x + a)^3*B*a^2*b*c^4*d^5*g^4*n/(d*x + c)^3 - 10*(b*x + a)^4*B*a*b*c^5*d^5*g^4*n/(d*x + c)^4 + B*a^6*d^6*g^4*n - 5*(b*x + a)*B*a^5*c*d^6*g^4*n/(d*x + c) + 10*(b*x + a)^2*B*a^4*c^2*d^6*g^4*n/(d*x + c)^2 - 10*(b*x + a)^3*B*a^3*c^3*d^6*g^4*n/(d*x + c)^3 + 5*(b*x + a)^4*B*a^2*c^4*d^6*g^4*n/(d*x + c)^4)*log((b*x + a)/(d*x + c))/(b^5*d^5 - 5*(b*x + a)*b^4*d^6/(d*x + c) + 10*(b*x + a)^2*b^3*d^7/(d*x + c)^2 - 10*(b*x + a)^3*b^2*d^8/(d*x + c)^3 + 5*(b*x + a)^4*b*d^9/(d*x + c)^4 - (b*x + a)^5*d^10/(d*x + c)^5) - (120*B*b^10*c^3*d^3*f^3*g*n - 360*B*a*b^9*c^2*d^4*f^3*g*n - 480*(b*x + a)*B*b^9*c^3*d^4*f^3*g*n/(d*x + c) + 360*B*a^2*b^8*c*d^5*f^3*g*n + 1440*(b*x + a)*B*a*b^8*c^2*d^5*f^3*g*n/(d*x + c) + 720*(b*x + a)^2*B*b^8*c^3*d^5*f^3*g*n/(d*x + c)^2 - 120*B*a^3*b^7*d^6*f^3*g*n - 1440*(b*x + a)*B*a^2*b^7*c*d^6*f^3*g*n/(d*x + c) - 2160*(b*x + a)^2*B*a*b^7*c^2*d^6*f^3*g*n/(d*x + c)^2 - 480*(b*x + a)^3*B*b^7*c^3*d^6*f^3*g*n/(d*x + c)^3 + 480*(b*x + a)*B*a^3*b^6*d^7*f^3*g*n/(d*x + c) + 2160*(b*x + a)^2*B*a^2*b^6*c*d^7*f^3*g*n/(d*x + c)^2 + 1440*(b*x + a)^3*B*a*b^6*c^2*d^7*f^3*g*n/(d*x + c)^3 + 120*(b*x + a)^4*B*b^6*c^3*d^7*f^3*g*n/(d*x + c)^4 - 720*(b*x + a)^2*B*a^3*b^5*d^8*f^3*g*n/(d*x + c)^2 - 1440*(b*x + a)^3*B*a^2*b^5*c*d^8*f^3*g*n/(d*x + c)^3 - 360*(b*x + a)^4*B*a*b^5*c^2*d^8*f^3*g*n/(d*x + c)^4 + 480*(b*x + a)^3*B*a^3*b^4*d^9*f^3*g*n/(d*x + c)^3 + 360*(b*x + a)^4*B*a^2*b^4*c*d^9*f^3*g*n/(d*x + c)^4 - 120*(b*x + a)^4*B*a^3*b^3*d^10*f^3*g*n/(d*x + c)^4 - 180*B*b^10*c^4*d^2*f^2*g^2*n + 360*B*a*b^9*c^3*d^3*f^2*g^2*n + 780*(b*x + a)*B*b^9*c^4*d^3*f^2*g^2*n/(d*x + c) - 1680*(b*x + a)*B*a*b^8*c^3*d^4*f^2*g^2*n/(d*x + c) - 1260*(b*x + a)^2*B*b^8*c^4*d^4*f^2*g^2*n/(d*x + c)^2 - 360*B*a^3*b^7*c*d^5*f^2*g^2*n + 360*(b*x + a)*B*a^2*b^7*c^2*d^5*f^2*g^2*n/(d*x + c) + 2880*(b*x + a)^2*B*a*b^7*c^3*d^5*f^2*g^2*n/(d*x + c)^2 + 900*(b*x + a)^3*B*b^7*c^4*d^5*f^2*g^2*n/(d*x + c)^3 + 180*B*a^4*b^6*d^6*f^2*g^2*n + 1200*(b*x + a)*B*a^3*b^6*c*d^6*f^2*g^2*n/(d*x + c) - 1080*(b*x + a)^2*B*a^2*b^6*c^2*d^6*f^2*g^2*n/(d*x + c)^2 - 2160*(b*x + a)^3*B*a*b^6*c^3*d^6*f^2*g^2*n/(d*x + c)^3 - 240*(b*x + a)^4*B*b^6*c^4*d^6*f^2*g^2*n/(d*x + c)^4 - 660*(b*x + a)*B*a^4*b^5*d^7*f^2*g^2*n/(d*x + c) - 1440*(b*x + a)^2*B*a^3*b^5*c*d^7*f^2*g^2*n/(d*x + c)^2 + 1080*(b*x + a)^3*B*a^2*b^5*c^2*d^7*f^2*g^2*n/(d*x + c)^3 + 600*(b*x + a)^4*B*a*b^5*c^3*d^7*f^2*g^2*n/(d*x + c)^4 + 900*(b*x + a)^2*B*a^4*b^4*d^8*f^2*g^2*n/(d*x + c)^2 + 720*(b*x + a)^3*B*a^3*b^4*c*d^8*f^2*g^2*n/(d*x + c)^3 - 360*(b*x + a)^4*B*a^2*b^4*c^2*d^8*f^2*g^2*n/(d*x + c)^4 - 540*(b*x + a)^3*B*a^4*b^3*d^9*f^2*g^2*n/(d*x + c)^3 - 120*(b*x + a)^4*B*a^3*b^3*c*d^9*f^2*g^2*n/(d*x + c)^4 + 120*(b*x + a)^4*B*a^4*b^2*d^10*f^2*g^2*n/(d*x + c)^4 + 110*B*b^10*c^5*d*f*g^3*n - 190*B*a*b^9*c^4*d^2*f*g^3*n - 490*(b*x + a)*B*b^9*c^5*d^2*f*g^3*n/(d*x + c) + 20*B*a^2*b^8*c^3*d^3*f*g^3*n + 890*(b*x + a)*B*a*b^8*c^4*d^3*f*g^3*n/(d*x + c) + 830*(b*x + a)^2*B*b^8*c^5*d^3*f*g^3*n/(d*x + c)^2 - 20*B*a^3*b^7*c^2*d^4*f*g^3*n - 100*(b*x + a)*B*a^2*b^7*c^3*d^4*f*g^3*n/(d*x + c) - 1630*(b*x + a)^2*B*a*b^7*c^4*d^4*f*g^3*n/(d*x + c)^2 - 630*(b*x + a)^3*B*b^7*c^5*d^4*f*g^3*n/(d*x + c)^3 + 190*B*a^4*b^6*c*d^5*f*g^3*n - 140*(b*x + a)*B*a^3*b^6*c^2*d^5*f*g^3*n/(d*x + c) + 380*(b*x + a)^2*B*a^2*b^6*c^3*d^5*f*g^3*n/(d*x + c)^2 + 1350*(b*x + a)^3*B*a*b^6*c^4*d^5*f*g^3*n/(d*x + c)^3 + 180*(b*x + a)^4*B*b^6*c^5*d^5*f*g^3*n/(d*x + c)^4 - 110*B*a^5*b^5*d^6*f*g^3*n - 530*(b*x + a)*B*a^4*b^5*c*d^6*f*g^3*n/(d*x + c) + 340*(b*x + a)^2*B*a^3*b^5*c^2*d^6*f*g^3*n/(d*x + c)^2 - 540*(b*x + a)^3*B*a^2*b^5*c^3*d^6*f*g^3*n/(d*x + c)^3 - 420*(b*x + a)^4*B*a*b^5*c^4*d^6*f*g^3*n/(d*x + c)^4 + 370*(b*x + a)*B*a^5*b^4*d^7*f*g^3*n/(d*x + c) + 550*(b*x + a)^2*B*a^4*b^4*c*d^7*f*g^3*n/(d*x + c)^2 - 180*(b*x + a)^3*B*a^3*b^4*c^2*d^7*f*g^3*n/(d*x + c)^3 + 240*(b*x + a)^4*B*a^2*b^4*c^3*d^7*f*g^3*n/(d*x + c)^4 - 470*(b*x + a)^2*B*a^5*b^3*d^8*f*g^3*n/(d*x + c)^2 - 270*(b*x + a)^3*B*a^4*b^3*c*d^8*f*g^3*n/(d*x + c)^3 + 270*(b*x + a)^3*B*a^5*b^2*d^9*f*g^3*n/(d*x + c)^3 + 60*(b*x + a)^4*B*a^4*b^2*c*d^9*f*g^3*n/(d*x + c)^4 - 60*(b*x + a)^4*B*a^5*b*d^10*f*g^3*n/(d*x + c)^4 - 25*B*b^10*c^6*g^4*n + 40*B*a*b^9*c^5*d*g^4*n + 113*(b*x + a)*B*b^9*c^6*d*g^4*n/(d*x + c) - 5*B*a^2*b^8*c^4*d^2*g^4*n - 188*(b*x + a)*B*a*b^8*c^5*d^2*g^4*n/(d*x + c) - 196*(b*x + a)^2*B*b^8*c^6*d^2*g^4*n/(d*x + c)^2 + 25*(b*x + a)*B*a^2*b^7*c^4*d^3*g^4*n/(d*x + c) + 346*(b*x + a)^2*B*a*b^7*c^5*d^3*g^4*n/(d*x + c)^2 + 156*(b*x + a)^3*B*b^7*c^6*d^3*g^4*n/(d*x + c)^3 + 5*B*a^4*b^6*c^2*d^4*g^4*n - 50*(b*x + a)^2*B*a^2*b^6*c^4*d^4*g^4*n/(d*x + c)^2 - 306*(b*x + a)^3*B*a*b^6*c^5*d^4*g^4*n/(d*x + c)^3 - 48*(b*x + a)^4*B*b^6*c^6*d^4*g^4*n/(d*x + c)^4 - 40*B*a^5*b^5*c*d^5*g^4*n + 35*(b*x + a)*B*a^4*b^5*c^2*d^5*g^4*n/(d*x + c) - 60*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g^4*n/(d*x + c)^2 + 90*(b*x + a)^3*B*a^2*b^5*c^4*d^5*g^4*n/(d*x + c)^3 + 108*(b*x + a)^4*B*a*b^5*c^5*d^5*g^4*n/(d*x + c)^4 + 25*B*a^6*b^4*d^6*g^4*n + 92*(b*x + a)*B*a^5*b^4*c*d^6*g^4*n/(d*x + c) - 40*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g^4*n/(d*x + c)^2 + 60*(b*x + a)^3*B*a^3*b^4*c^3*d^6*g^4*n/(d*x + c)^3 - 60*(b*x + a)^4*B*a^2*b^4*c^4*d^6*g^4*n/(d*x + c)^4 - 77*(b*x + a)*B*a^6*b^3*d^7*g^4*n/(d*x + c) - 94*(b*x + a)^2*B*a^5*b^3*c*d^7*g^4*n/(d*x + c)^2 + 94*(b*x + a)^2*B*a^6*b^2*d^8*g^4*n/(d*x + c)^2 + 54*(b*x + a)^3*B*a^5*b^2*c*d^8*g^4*n/(d*x + c)^3 - 54*(b*x + a)^3*B*a^6*b*d^9*g^4*n/(d*x + c)^3 - 12*(b*x + a)^4*B*a^5*b*c*d^9*g^4*n/(d*x + c)^4 + 12*(b*x + a)^4*B*a^6*d^10*g^4*n/(d*x + c)^4 - 60*A*b^10*c^2*d^4*f^4 - 60*B*b^10*c^2*d^4*f^4 + 120*A*a*b^9*c*d^5*f^4 + 120*B*a*b^9*c*d^5*f^4 + 240*(b*x + a)*A*b^9*c^2*d^5*f^4/(d*x + c) + 240*(b*x + a)*B*b^9*c^2*d^5*f^4/(d*x + c) - 60*A*a^2*b^8*d^6*f^4 - 60*B*a^2*b^8*d^6*f^4 - 480*(b*x + a)*A*a*b^8*c*d^6*f^4/(d*x + c) - 480*(b*x + a)*B*a*b^8*c*d^6*f^4/(d*x + c) - 360*(b*x + a)^2*A*b^8*c^2*d^6*f^4/(d*x + c)^2 - 360*(b*x + a)^2*B*b^8*c^2*d^6*f^4/(d*x + c)^2 + 240*(b*x + a)*A*a^2*b^7*d^7*f^4/(d*x + c) + 240*(b*x + a)*B*a^2*b^7*d^7*f^4/(d*x + c) + 720*(b*x + a)^2*A*a*b^7*c*d^7*f^4/(d*x + c)^2 + 720*(b*x + a)^2*B*a*b^7*c*d^7*f^4/(d*x + c)^2 + 240*(b*x + a)^3*A*b^7*c^2*d^7*f^4/(d*x + c)^3 + 240*(b*x + a)^3*B*b^7*c^2*d^7*f^4/(d*x + c)^3 - 360*(b*x + a)^2*A*a^2*b^6*d^8*f^4/(d*x + c)^2 - 360*(b*x + a)^2*B*a^2*b^6*d^8*f^4/(d*x + c)^2 - 480*(b*x + a)^3*A*a*b^6*c*d^8*f^4/(d*x + c)^3 - 480*(b*x + a)^3*B*a*b^6*c*d^8*f^4/(d*x + c)^3 - 60*(b*x + a)^4*A*b^6*c^2*d^8*f^4/(d*x + c)^4 - 60*(b*x + a)^4*B*b^6*c^2*d^8*f^4/(d*x + c)^4 + 240*(b*x + a)^3*A*a^2*b^5*d^9*f^4/(d*x + c)^3 + 240*(b*x + a)^3*B*a^2*b^5*d^9*f^4/(d*x + c)^3 + 120*(b*x + a)^4*A*a*b^5*c*d^9*f^4/(d*x + c)^4 + 120*(b*x + a)^4*B*a*b^5*c*d^9*f^4/(d*x + c)^4 - 60*(b*x + a)^4*A*a^2*b^4*d^10*f^4/(d*x + c)^4 - 60*(b*x + a)^4*B*a^2*b^4*d^10*f^4/(d*x + c)^4 + 120*A*b^10*c^3*d^3*f^3*g + 120*B*b^10*c^3*d^3*f^3*g - 120*A*a*b^9*c^2*d^4*f^3*g - 120*B*a*b^9*c^2*d^4*f^3*g - 600*(b*x + a)*A*b^9*c^3*d^4*f^3*g/(d*x + c) - 600*(b*x + a)*B*b^9*c^3*d^4*f^3*g/(d*x + c) - 120*A*a^2*b^8*c*d^5*f^3*g - 120*B*a^2*b^8*c*d^5*f^3*g + 840*(b*x + a)*A*a*b^8*c^2*d^5*f^3*g/(d*x + c) + 840*(b*x + a)*B*a*b^8*c^2*d^5*f^3*g/(d*x + c) + 1080*(b*x + a)^2*A*b^8*c^3*d^5*f^3*g/(d*x + c)^2 + 1080*(b*x + a)^2*B*b^8*c^3*d^5*f^3*g/(d*x + c)^2 + 120*A*a^3*b^7*d^6*f^3*g + 120*B*a^3*b^7*d^6*f^3*g + 120*(b*x + a)*A*a^2*b^7*c*d^6*f^3*g/(d*x + c) + 120*(b*x + a)*B*a^2*b^7*c*d^6*f^3*g/(d*x + c) - 1800*(b*x + a)^2*A*a*b^7*c^2*d^6*f^3*g/(d*x + c)^2 - 1800*(b*x + a)^2*B*a*b^7*c^2*d^6*f^3*g/(d*x + c)^2 - 840*(b*x + a)^3*A*b^7*c^3*d^6*f^3*g/(d*x + c)^3 - 840*(b*x + a)^3*B*b^7*c^3*d^6*f^3*g/(d*x + c)^3 - 360*(b*x + a)*A*a^3*b^6*d^7*f^3*g/(d*x + c) - 360*(b*x + a)*B*a^3*b^6*d^7*f^3*g/(d*x + c) + 360*(b*x + a)^2*A*a^2*b^6*c*d^7*f^3*g/(d*x + c)^2 + 360*(b*x + a)^2*B*a^2*b^6*c*d^7*f^3*g/(d*x + c)^2 + 1560*(b*x + a)^3*A*a*b^6*c^2*d^7*f^3*g/(d*x + c)^3 + 1560*(b*x + a)^3*B*a*b^6*c^2*d^7*f^3*g/(d*x + c)^3 + 240*(b*x + a)^4*A*b^6*c^3*d^7*f^3*g/(d*x + c)^4 + 240*(b*x + a)^4*B*b^6*c^3*d^7*f^3*g/(d*x + c)^4 + 360*(b*x + a)^2*A*a^3*b^5*d^8*f^3*g/(d*x + c)^2 + 360*(b*x + a)^2*B*a^3*b^5*d^8*f^3*g/(d*x + c)^2 - 600*(b*x + a)^3*A*a^2*b^5*c*d^8*f^3*g/(d*x + c)^3 - 600*(b*x + a)^3*B*a^2*b^5*c*d^8*f^3*g/(d*x + c)^3 - 480*(b*x + a)^4*A*a*b^5*c^2*d^8*f^3*g/(d*x + c)^4 - 480*(b*x + a)^4*B*a*b^5*c^2*d^8*f^3*g/(d*x + c)^4 - 120*(b*x + a)^3*A*a^3*b^4*d^9*f^3*g/(d*x + c)^3 - 120*(b*x + a)^3*B*a^3*b^4*d^9*f^3*g/(d*x + c)^3 + 240*(b*x + a)^4*A*a^2*b^4*c*d^9*f^3*g/(d*x + c)^4 + 240*(b*x + a)^4*B*a^2*b^4*c*d^9*f^3*g/(d*x + c)^4 - 120*A*b^10*c^4*d^2*f^2*g^2 - 120*B*b^10*c^4*d^2*f^2*g^2 + 120*A*a*b^9*c^3*d^3*f^2*g^2 + 120*B*a*b^9*c^3*d^3*f^2*g^2 + 600*(b*x + a)*A*b^9*c^4*d^3*f^2*g^2/(d*x + c) + 600*(b*x + a)*B*b^9*c^4*d^3*f^2*g^2/(d*x + c) - 600*(b*x + a)*A*a*b^8*c^3*d^4*f^2*g^2/(d*x + c) - 600*(b*x + a)*B*a*b^8*c^3*d^4*f^2*g^2/(d*x + c) - 1200*(b*x + a)^2*A*b^8*c^4*d^4*f^2*g^2/(d*x + c)^2 - 1200*(b*x + a)^2*B*b^8*c^4*d^4*f^2*g^2/(d*x + c)^2 + 120*A*a^3*b^7*c*d^5*f^2*g^2 + 120*B*a^3*b^7*c*d^5*f^2*g^2 - 360*(b*x + a)*A*a^2*b^7*c^2*d^5*f^2*g^2/(d*x + c) - 360*(b*x + a)*B*a^2*b^7*c^2*d^5*f^2*g^2/(d*x + c) + 1560*(b*x + a)^2*A*a*b^7*c^3*d^5*f^2*g^2/(d*x + c)^2 + 1560*(b*x + a)^2*B*a*b^7*c^3*d^5*f^2*g^2/(d*x + c)^2 + 1080*(b*x + a)^3*A*b^7*c^4*d^5*f^2*g^2/(d*x + c)^3 + 1080*(b*x + a)^3*B*b^7*c^4*d^5*f^2*g^2/(d*x + c)^3 - 120*A*a^4*b^6*d^6*f^2*g^2 - 120*B*a^4*b^6*d^6*f^2*g^2 + 120*(b*x + a)*A*a^3*b^6*c*d^6*f^2*g^2/(d*x + c) + 120*(b*x + a)*B*a^3*b^6*c*d^6*f^2*g^2/(d*x + c) + 360*(b*x + a)^2*A*a^2*b^6*c^2*d^6*f^2*g^2/(d*x + c)^2 + 360*(b*x + a)^2*B*a^2*b^6*c^2*d^6*f^2*g^2/(d*x + c)^2 - 1800*(b*x + a)^3*A*a*b^6*c^3*d^6*f^2*g^2/(d*x + c)^3 - 1800*(b*x + a)^3*B*a*b^6*c^3*d^6*f^2*g^2/(d*x + c)^3 - 360*(b*x + a)^4*A*b^6*c^4*d^6*f^2*g^2/(d*x + c)^4 - 360*(b*x + a)^4*B*b^6*c^4*d^6*f^2*g^2/(d*x + c)^4 + 240*(b*x + a)*A*a^4*b^5*d^7*f^2*g^2/(d*x + c) + 240*(b*x + a)*B*a^4*b^5*d^7*f^2*g^2/(d*x + c) - 600*(b*x + a)^2*A*a^3*b^5*c*d^7*f^2*g^2/(d*x + c)^2 - 600*(b*x + a)^2*B*a^3*b^5*c*d^7*f^2*g^2/(d*x + c)^2 + 360*(b*x + a)^3*A*a^2*b^5*c^2*d^7*f^2*g^2/(d*x + c)^3 + 360*(b*x + a)^3*B*a^2*b^5*c^2*d^7*f^2*g^2/(d*x + c)^3 + 720*(b*x + a)^4*A*a*b^5*c^3*d^7*f^2*g^2/(d*x + c)^4 + 720*(b*x + a)^4*B*a*b^5*c^3*d^7*f^2*g^2/(d*x + c)^4 - 120*(b*x + a)^2*A*a^4*b^4*d^8*f^2*g^2/(d*x + c)^2 - 120*(b*x + a)^2*B*a^4*b^4*d^8*f^2*g^2/(d*x + c)^2 + 360*(b*x + a)^3*A*a^3*b^4*c*d^8*f^2*g^2/(d*x + c)^3 + 360*(b*x + a)^3*B*a^3*b^4*c*d^8*f^2*g^2/(d*x + c)^3 - 360*(b*x + a)^4*A*a^2*b^4*c^2*d^8*f^2*g^2/(d*x + c)^4 - 360*(b*x + a)^4*B*a^2*b^4*c^2*d^8*f^2*g^2/(d*x + c)^4 + 60*A*b^10*c^5*d*f*g^3 + 60*B*b^10*c^5*d*f*g^3 - 60*A*a*b^9*c^4*d^2*f*g^3 - 60*B*a*b^9*c^4*d^2*f*g^3 - 300*(b*x + a)*A*b^9*c^5*d^2*f*g^3/(d*x + c) - 300*(b*x + a)*B*b^9*c^5*d^2*f*g^3/(d*x + c) + 300*(b*x + a)*A*a*b^8*c^4*d^3*f*g^3/(d*x + c) + 300*(b*x + a)*B*a*b^8*c^4*d^3*f*g^3/(d*x + c) + 600*(b*x + a)^2*A*b^8*c^5*d^3*f*g^3/(d*x + c)^2 + 600*(b*x + a)^2*B*b^8*c^5*d^3*f*g^3/(d*x + c)^2 - 600*(b*x + a)^2*A*a*b^7*c^4*d^4*f*g^3/(d*x + c)^2 - 600*(b*x + a)^2*B*a*b^7*c^4*d^4*f*g^3/(d*x + c)^2 - 600*(b*x + a)^3*A*b^7*c^5*d^4*f*g^3/(d*x + c)^3 - 600*(b*x + a)^3*B*b^7*c^5*d^4*f*g^3/(d*x + c)^3 - 60*A*a^4*b^6*c*d^5*f*g^3 - 60*B*a^4*b^6*c*d^5*f*g^3 + 240*(b*x + a)*A*a^3*b^6*c^2*d^5*f*g^3/(d*x + c) + 240*(b*x + a)*B*a^3*b^6*c^2*d^5*f*g^3/(d*x + c) - 360*(b*x + a)^2*A*a^2*b^6*c^3*d^5*f*g^3/(d*x + c)^2 - 360*(b*x + a)^2*B*a^2*b^6*c^3*d^5*f*g^3/(d*x + c)^2 + 840*(b*x + a)^3*A*a*b^6*c^4*d^5*f*g^3/(d*x + c)^3 + 840*(b*x + a)^3*B*a*b^6*c^4*d^5*f*g^3/(d*x + c)^3 + 240*(b*x + a)^4*A*b^6*c^5*d^5*f*g^3/(d*x + c)^4 + 240*(b*x + a)^4*B*b^6*c^5*d^5*f*g^3/(d*x + c)^4 + 60*A*a^5*b^5*d^6*f*g^3 + 60*B*a^5*b^5*d^6*f*g^3 - 180*(b*x + a)*A*a^4*b^5*c*d^6*f*g^3/(d*x + c) - 180*(b*x + a)*B*a^4*b^5*c*d^6*f*g^3/(d*x + c) + 120*(b*x + a)^2*A*a^3*b^5*c^2*d^6*f*g^3/(d*x + c)^2 + 120*(b*x + a)^2*B*a^3*b^5*c^2*d^6*f*g^3/(d*x + c)^2 + 120*(b*x + a)^3*A*a^2*b^5*c^3*d^6*f*g^3/(d*x + c)^3 + 120*(b*x + a)^3*B*a^2*b^5*c^3*d^6*f*g^3/(d*x + c)^3 - 480*(b*x + a)^4*A*a*b^5*c^4*d^6*f*g^3/(d*x + c)^4 - 480*(b*x + a)^4*B*a*b^5*c^4*d^6*f*g^3/(d*x + c)^4 - 60*(b*x + a)*A*a^5*b^4*d^7*f*g^3/(d*x + c) - 60*(b*x + a)*B*a^5*b^4*d^7*f*g^3/(d*x + c) + 240*(b*x + a)^2*A*a^4*b^4*c*d^7*f*g^3/(d*x + c)^2 + 240*(b*x + a)^2*B*a^4*b^4*c*d^7*f*g^3/(d*x + c)^2 - 360*(b*x + a)^3*A*a^3*b^4*c^2*d^7*f*g^3/(d*x + c)^3 - 360*(b*x + a)^3*B*a^3*b^4*c^2*d^7*f*g^3/(d*x + c)^3 + 240*(b*x + a)^4*A*a^2*b^4*c^3*d^7*f*g^3/(d*x + c)^4 + 240*(b*x + a)^4*B*a^2*b^4*c^3*d^7*f*g^3/(d*x + c)^4 - 12*A*b^10*c^6*g^4 - 12*B*b^10*c^6*g^4 + 12*A*a*b^9*c^5*d*g^4 + 12*B*a*b^9*c^5*d*g^4 + 60*(b*x + a)*A*b^9*c^6*d*g^4/(d*x + c) + 60*(b*x + a)*B*b^9*c^6*d*g^4/(d*x + c) - 60*(b*x + a)*A*a*b^8*c^5*d^2*g^4/(d*x + c) - 60*(b*x + a)*B*a*b^8*c^5*d^2*g^4/(d*x + c) - 120*(b*x + a)^2*A*b^8*c^6*d^2*g^4/(d*x + c)^2 - 120*(b*x + a)^2*B*b^8*c^6*d^2*g^4/(d*x + c)^2 + 120*(b*x + a)^2*A*a*b^7*c^5*d^3*g^4/(d*x + c)^2 + 120*(b*x + a)^2*B*a*b^7*c^5*d^3*g^4/(d*x + c)^2 + 120*(b*x + a)^3*A*b^7*c^6*d^3*g^4/(d*x + c)^3 + 120*(b*x + a)^3*B*b^7*c^6*d^3*g^4/(d*x + c)^3 - 120*(b*x + a)^3*A*a*b^6*c^5*d^4*g^4/(d*x + c)^3 - 120*(b*x + a)^3*B*a*b^6*c^5*d^4*g^4/(d*x + c)^3 - 60*(b*x + a)^4*A*b^6*c^6*d^4*g^4/(d*x + c)^4 - 60*(b*x + a)^4*B*b^6*c^6*d^4*g^4/(d*x + c)^4 + 12*A*a^5*b^5*c*d^5*g^4 + 12*B*a^5*b^5*c*d^5*g^4 - 60*(b*x + a)*A*a^4*b^5*c^2*d^5*g^4/(d*x + c) - 60*(b*x + a)*B*a^4*b^5*c^2*d^5*g^4/(d*x + c) + 120*(b*x + a)^2*A*a^3*b^5*c^3*d^5*g^4/(d*x + c)^2 + 120*(b*x + a)^2*B*a^3*b^5*c^3*d^5*g^4/(d*x + c)^2 - 120*(b*x + a)^3*A*a^2*b^5*c^4*d^5*g^4/(d*x + c)^3 - 120*(b*x + a)^3*B*a^2*b^5*c^4*d^5*g^4/(d*x + c)^3 + 120*(b*x + a)^4*A*a*b^5*c^5*d^5*g^4/(d*x + c)^4 + 120*(b*x + a)^4*B*a*b^5*c^5*d^5*g^4/(d*x + c)^4 - 12*A*a^6*b^4*d^6*g^4 - 12*B*a^6*b^4*d^6*g^4 + 60*(b*x + a)*A*a^5*b^4*c*d^6*g^4/(d*x + c) + 60*(b*x + a)*B*a^5*b^4*c*d^6*g^4/(d*x + c) - 120*(b*x + a)^2*A*a^4*b^4*c^2*d^6*g^4/(d*x + c)^2 - 120*(b*x + a)^2*B*a^4*b^4*c^2*d^6*g^4/(d*x + c)^2 + 120*(b*x + a)^3*A*a^3*b^4*c^3*d^6*g^4/(d*x + c)^3 + 120*(b*x + a)^3*B*a^3*b^4*c^3*d^6*g^4/(d*x + c)^3 - 60*(b*x + a)^4*A*a^2*b^4*c^4*d^6*g^4/(d*x + c)^4 - 60*(b*x + a)^4*B*a^2*b^4*c^4*d^6*g^4/(d*x + c)^4)/(b^9*d^5 - 5*(b*x + a)*b^8*d^6/(d*x + c) + 10*(b*x + a)^2*b^7*d^7/(d*x + c)^2 - 10*(b*x + a)^3*b^6*d^8/(d*x + c)^3 + 5*(b*x + a)^4*b^5*d^9/(d*x + c)^4 - (b*x + a)^5*b^4*d^10/(d*x + c)^5) + 12*(5*B*b^6*c^2*d^4*f^4*n - 10*B*a*b^5*c*d^5*f^4*n + 5*B*a^2*b^4*d^6*f^4*n - 10*B*b^6*c^3*d^3*f^3*g*n + 10*B*a*b^5*c^2*d^4*f^3*g*n + 10*B*a^2*b^4*c*d^5*f^3*g*n - 10*B*a^3*b^3*d^6*f^3*g*n + 10*B*b^6*c^4*d^2*f^2*g^2*n - 10*B*a*b^5*c^3*d^3*f^2*g^2*n - 10*B*a^3*b^3*c*d^5*f^2*g^2*n + 10*B*a^4*b^2*d^6*f^2*g^2*n - 5*B*b^6*c^5*d*f*g^3*n + 5*B*a*b^5*c^4*d^2*f*g^3*n + 5*B*a^4*b^2*c*d^5*f*g^3*n - 5*B*a^5*b*d^6*f*g^3*n + B*b^6*c^6*g^4*n - B*a*b^5*c^5*d*g^4*n - B*a^5*b*c*d^5*g^4*n + B*a^6*d^6*g^4*n)*log(b - (b*x + a)*d/(d*x + c))/(b^5*d^5) - 12*(5*B*b^6*c^2*d^4*f^4*n - 10*B*a*b^5*c*d^5*f^4*n + 5*B*a^2*b^4*d^6*f^4*n - 10*B*b^6*c^3*d^3*f^3*g*n + 10*B*a*b^5*c^2*d^4*f^3*g*n + 10*B*a^2*b^4*c*d^5*f^3*g*n - 10*B*a^3*b^3*d^6*f^3*g*n + 10*B*b^6*c^4*d^2*f^2*g^2*n - 10*B*a*b^5*c^3*d^3*f^2*g^2*n - 10*B*a^3*b^3*c*d^5*f^2*g^2*n + 10*B*a^4*b^2*d^6*f^2*g^2*n - 5*B*b^6*c^5*d*f*g^3*n + 5*B*a*b^5*c^4*d^2*f*g^3*n + 5*B*a^4*b^2*c*d^5*f*g^3*n - 5*B*a^5*b*d^6*f*g^3*n + B*b^6*c^6*g^4*n - B*a*b^5*c^5*d*g^4*n - B*a^5*b*c*d^5*g^4*n + B*a^6*d^6*g^4*n)*log((b*x + a)/(d*x + c))/(b^5*d^5))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
58,1,6660,0,9.223777," ","integrate((g*x+f)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{24} \, {\left(\frac{6 \, {\left(4 \, B b^{5} c^{2} d^{3} f^{3} n - 8 \, B a b^{4} c d^{4} f^{3} n - \frac{12 \, {\left(b x + a\right)} B b^{4} c^{2} d^{4} f^{3} n}{d x + c} + 4 \, B a^{2} b^{3} d^{5} f^{3} n + \frac{24 \, {\left(b x + a\right)} B a b^{3} c d^{5} f^{3} n}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} B b^{3} c^{2} d^{5} f^{3} n}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)} B a^{2} b^{2} d^{6} f^{3} n}{d x + c} - \frac{24 \, {\left(b x + a\right)}^{2} B a b^{2} c d^{6} f^{3} n}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} B b^{2} c^{2} d^{6} f^{3} n}{{\left(d x + c\right)}^{3}} + \frac{12 \, {\left(b x + a\right)}^{2} B a^{2} b d^{7} f^{3} n}{{\left(d x + c\right)}^{2}} + \frac{8 \, {\left(b x + a\right)}^{3} B a b c d^{7} f^{3} n}{{\left(d x + c\right)}^{3}} - \frac{4 \, {\left(b x + a\right)}^{3} B a^{2} d^{8} f^{3} n}{{\left(d x + c\right)}^{3}} - 6 \, B b^{5} c^{3} d^{2} f^{2} g n + 6 \, B a b^{4} c^{2} d^{3} f^{2} g n + \frac{24 \, {\left(b x + a\right)} B b^{4} c^{3} d^{3} f^{2} g n}{d x + c} + 6 \, B a^{2} b^{3} c d^{4} f^{2} g n - \frac{36 \, {\left(b x + a\right)} B a b^{3} c^{2} d^{4} f^{2} g n}{d x + c} - \frac{30 \, {\left(b x + a\right)}^{2} B b^{3} c^{3} d^{4} f^{2} g n}{{\left(d x + c\right)}^{2}} - 6 \, B a^{3} b^{2} d^{5} f^{2} g n + \frac{54 \, {\left(b x + a\right)}^{2} B a b^{2} c^{2} d^{5} f^{2} g n}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{3} B b^{2} c^{3} d^{5} f^{2} g n}{{\left(d x + c\right)}^{3}} + \frac{12 \, {\left(b x + a\right)} B a^{3} b d^{6} f^{2} g n}{d x + c} - \frac{18 \, {\left(b x + a\right)}^{2} B a^{2} b c d^{6} f^{2} g n}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x + a\right)}^{3} B a b c^{2} d^{6} f^{2} g n}{{\left(d x + c\right)}^{3}} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{3} d^{7} f^{2} g n}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{3} B a^{2} c d^{7} f^{2} g n}{{\left(d x + c\right)}^{3}} + 4 \, B b^{5} c^{4} d f g^{2} n - 4 \, B a b^{4} c^{3} d^{2} f g^{2} n - \frac{16 \, {\left(b x + a\right)} B b^{4} c^{4} d^{2} f g^{2} n}{d x + c} + \frac{16 \, {\left(b x + a\right)} B a b^{3} c^{3} d^{3} f g^{2} n}{d x + c} + \frac{24 \, {\left(b x + a\right)}^{2} B b^{3} c^{4} d^{3} f g^{2} n}{{\left(d x + c\right)}^{2}} - 4 \, B a^{3} b^{2} c d^{4} f g^{2} n + \frac{12 \, {\left(b x + a\right)} B a^{2} b^{2} c^{2} d^{4} f g^{2} n}{d x + c} - \frac{36 \, {\left(b x + a\right)}^{2} B a b^{2} c^{3} d^{4} f g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{3} B b^{2} c^{4} d^{4} f g^{2} n}{{\left(d x + c\right)}^{3}} + 4 \, B a^{4} b d^{5} f g^{2} n - \frac{8 \, {\left(b x + a\right)} B a^{3} b c d^{5} f g^{2} n}{d x + c} + \frac{24 \, {\left(b x + a\right)}^{3} B a b c^{3} d^{5} f g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{4 \, {\left(b x + a\right)} B a^{4} d^{6} f g^{2} n}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} B a^{3} c d^{6} f g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{3} B a^{2} c^{2} d^{6} f g^{2} n}{{\left(d x + c\right)}^{3}} - B b^{5} c^{5} g^{3} n + B a b^{4} c^{4} d g^{3} n + \frac{4 \, {\left(b x + a\right)} B b^{4} c^{5} d g^{3} n}{d x + c} - \frac{4 \, {\left(b x + a\right)} B a b^{3} c^{4} d^{2} g^{3} n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B b^{3} c^{5} d^{2} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} B a b^{2} c^{4} d^{3} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x + a\right)}^{3} B b^{2} c^{5} d^{3} g^{3} n}{{\left(d x + c\right)}^{3}} + B a^{4} b c d^{4} g^{3} n - \frac{4 \, {\left(b x + a\right)} B a^{3} b c^{2} d^{4} g^{3} n}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} b c^{3} d^{4} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{8 \, {\left(b x + a\right)}^{3} B a b c^{4} d^{4} g^{3} n}{{\left(d x + c\right)}^{3}} - B a^{5} d^{5} g^{3} n + \frac{4 \, {\left(b x + a\right)} B a^{4} c d^{5} g^{3} n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{3} c^{2} d^{5} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x + a\right)}^{3} B a^{2} c^{3} d^{5} g^{3} n}{{\left(d x + c\right)}^{3}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{4} d^{4} - \frac{4 \, {\left(b x + a\right)} b^{3} d^{5}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b^{2} d^{6}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b d^{7}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{4} d^{8}}{{\left(d x + c\right)}^{4}}} - \frac{36 \, B b^{8} c^{3} d^{2} f^{2} g n - 108 \, B a b^{7} c^{2} d^{3} f^{2} g n - \frac{108 \, {\left(b x + a\right)} B b^{7} c^{3} d^{3} f^{2} g n}{d x + c} + 108 \, B a^{2} b^{6} c d^{4} f^{2} g n + \frac{324 \, {\left(b x + a\right)} B a b^{6} c^{2} d^{4} f^{2} g n}{d x + c} + \frac{108 \, {\left(b x + a\right)}^{2} B b^{6} c^{3} d^{4} f^{2} g n}{{\left(d x + c\right)}^{2}} - 36 \, B a^{3} b^{5} d^{5} f^{2} g n - \frac{324 \, {\left(b x + a\right)} B a^{2} b^{5} c d^{5} f^{2} g n}{d x + c} - \frac{324 \, {\left(b x + a\right)}^{2} B a b^{5} c^{2} d^{5} f^{2} g n}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x + a\right)}^{3} B b^{5} c^{3} d^{5} f^{2} g n}{{\left(d x + c\right)}^{3}} + \frac{108 \, {\left(b x + a\right)} B a^{3} b^{4} d^{6} f^{2} g n}{d x + c} + \frac{324 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c d^{6} f^{2} g n}{{\left(d x + c\right)}^{2}} + \frac{108 \, {\left(b x + a\right)}^{3} B a b^{4} c^{2} d^{6} f^{2} g n}{{\left(d x + c\right)}^{3}} - \frac{108 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} d^{7} f^{2} g n}{{\left(d x + c\right)}^{2}} - \frac{108 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c d^{7} f^{2} g n}{{\left(d x + c\right)}^{3}} + \frac{36 \, {\left(b x + a\right)}^{3} B a^{3} b^{2} d^{8} f^{2} g n}{{\left(d x + c\right)}^{3}} - 36 \, B b^{8} c^{4} d f g^{2} n + 72 \, B a b^{7} c^{3} d^{2} f g^{2} n + \frac{120 \, {\left(b x + a\right)} B b^{7} c^{4} d^{2} f g^{2} n}{d x + c} - \frac{264 \, {\left(b x + a\right)} B a b^{6} c^{3} d^{3} f g^{2} n}{d x + c} - \frac{132 \, {\left(b x + a\right)}^{2} B b^{6} c^{4} d^{3} f g^{2} n}{{\left(d x + c\right)}^{2}} - 72 \, B a^{3} b^{5} c d^{4} f g^{2} n + \frac{72 \, {\left(b x + a\right)} B a^{2} b^{5} c^{2} d^{4} f g^{2} n}{d x + c} + \frac{312 \, {\left(b x + a\right)}^{2} B a b^{5} c^{3} d^{4} f g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{48 \, {\left(b x + a\right)}^{3} B b^{5} c^{4} d^{4} f g^{2} n}{{\left(d x + c\right)}^{3}} + 36 \, B a^{4} b^{4} d^{5} f g^{2} n + \frac{168 \, {\left(b x + a\right)} B a^{3} b^{4} c d^{5} f g^{2} n}{d x + c} - \frac{144 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{2} d^{5} f g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x + a\right)}^{3} B a b^{4} c^{3} d^{5} f g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{96 \, {\left(b x + a\right)} B a^{4} b^{3} d^{6} f g^{2} n}{d x + c} - \frac{120 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c d^{6} f g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{2} d^{6} f g^{2} n}{{\left(d x + c\right)}^{3}} + \frac{84 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} d^{7} f g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{24 \, {\left(b x + a\right)}^{3} B a^{3} b^{2} c d^{7} f g^{2} n}{{\left(d x + c\right)}^{3}} - \frac{24 \, {\left(b x + a\right)}^{3} B a^{4} b d^{8} f g^{2} n}{{\left(d x + c\right)}^{3}} + 11 \, B b^{8} c^{5} g^{3} n - 19 \, B a b^{7} c^{4} d g^{3} n - \frac{38 \, {\left(b x + a\right)} B b^{7} c^{5} d g^{3} n}{d x + c} + 2 \, B a^{2} b^{6} c^{3} d^{2} g^{3} n + \frac{70 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} g^{3} n}{d x + c} + \frac{45 \, {\left(b x + a\right)}^{2} B b^{6} c^{5} d^{2} g^{3} n}{{\left(d x + c\right)}^{2}} - 2 \, B a^{3} b^{5} c^{2} d^{3} g^{3} n - \frac{8 \, {\left(b x + a\right)} B a^{2} b^{5} c^{3} d^{3} g^{3} n}{d x + c} - \frac{93 \, {\left(b x + a\right)}^{2} B a b^{5} c^{4} d^{3} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{18 \, {\left(b x + a\right)}^{3} B b^{5} c^{5} d^{3} g^{3} n}{{\left(d x + c\right)}^{3}} + 19 \, B a^{4} b^{4} c d^{4} g^{3} n - \frac{16 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} g^{3} n}{d x + c} + \frac{30 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{3} d^{4} g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{42 \, {\left(b x + a\right)}^{3} B a b^{4} c^{4} d^{4} g^{3} n}{{\left(d x + c\right)}^{3}} - 11 \, B a^{5} b^{3} d^{5} g^{3} n - \frac{34 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} g^{3} n}{d x + c} + \frac{18 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{2} d^{5} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{3} d^{5} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{26 \, {\left(b x + a\right)} B a^{5} b^{2} d^{6} g^{3} n}{d x + c} + \frac{21 \, {\left(b x + a\right)}^{2} B a^{4} b^{2} c d^{6} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{21 \, {\left(b x + a\right)}^{2} B a^{5} b d^{7} g^{3} n}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{3} B a^{4} b c d^{7} g^{3} n}{{\left(d x + c\right)}^{3}} + \frac{6 \, {\left(b x + a\right)}^{3} B a^{5} d^{8} g^{3} n}{{\left(d x + c\right)}^{3}} - 24 \, A b^{8} c^{2} d^{3} f^{3} - 24 \, B b^{8} c^{2} d^{3} f^{3} + 48 \, A a b^{7} c d^{4} f^{3} + 48 \, B a b^{7} c d^{4} f^{3} + \frac{72 \, {\left(b x + a\right)} A b^{7} c^{2} d^{4} f^{3}}{d x + c} + \frac{72 \, {\left(b x + a\right)} B b^{7} c^{2} d^{4} f^{3}}{d x + c} - 24 \, A a^{2} b^{6} d^{5} f^{3} - 24 \, B a^{2} b^{6} d^{5} f^{3} - \frac{144 \, {\left(b x + a\right)} A a b^{6} c d^{5} f^{3}}{d x + c} - \frac{144 \, {\left(b x + a\right)} B a b^{6} c d^{5} f^{3}}{d x + c} - \frac{72 \, {\left(b x + a\right)}^{2} A b^{6} c^{2} d^{5} f^{3}}{{\left(d x + c\right)}^{2}} - \frac{72 \, {\left(b x + a\right)}^{2} B b^{6} c^{2} d^{5} f^{3}}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x + a\right)} A a^{2} b^{5} d^{6} f^{3}}{d x + c} + \frac{72 \, {\left(b x + a\right)} B a^{2} b^{5} d^{6} f^{3}}{d x + c} + \frac{144 \, {\left(b x + a\right)}^{2} A a b^{5} c d^{6} f^{3}}{{\left(d x + c\right)}^{2}} + \frac{144 \, {\left(b x + a\right)}^{2} B a b^{5} c d^{6} f^{3}}{{\left(d x + c\right)}^{2}} + \frac{24 \, {\left(b x + a\right)}^{3} A b^{5} c^{2} d^{6} f^{3}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x + a\right)}^{3} B b^{5} c^{2} d^{6} f^{3}}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x + a\right)}^{2} A a^{2} b^{4} d^{7} f^{3}}{{\left(d x + c\right)}^{2}} - \frac{72 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} d^{7} f^{3}}{{\left(d x + c\right)}^{2}} - \frac{48 \, {\left(b x + a\right)}^{3} A a b^{4} c d^{7} f^{3}}{{\left(d x + c\right)}^{3}} - \frac{48 \, {\left(b x + a\right)}^{3} B a b^{4} c d^{7} f^{3}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x + a\right)}^{3} A a^{2} b^{3} d^{8} f^{3}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} d^{8} f^{3}}{{\left(d x + c\right)}^{3}} + 36 \, A b^{8} c^{3} d^{2} f^{2} g + 36 \, B b^{8} c^{3} d^{2} f^{2} g - 36 \, A a b^{7} c^{2} d^{3} f^{2} g - 36 \, B a b^{7} c^{2} d^{3} f^{2} g - \frac{144 \, {\left(b x + a\right)} A b^{7} c^{3} d^{3} f^{2} g}{d x + c} - \frac{144 \, {\left(b x + a\right)} B b^{7} c^{3} d^{3} f^{2} g}{d x + c} - 36 \, A a^{2} b^{6} c d^{4} f^{2} g - 36 \, B a^{2} b^{6} c d^{4} f^{2} g + \frac{216 \, {\left(b x + a\right)} A a b^{6} c^{2} d^{4} f^{2} g}{d x + c} + \frac{216 \, {\left(b x + a\right)} B a b^{6} c^{2} d^{4} f^{2} g}{d x + c} + \frac{180 \, {\left(b x + a\right)}^{2} A b^{6} c^{3} d^{4} f^{2} g}{{\left(d x + c\right)}^{2}} + \frac{180 \, {\left(b x + a\right)}^{2} B b^{6} c^{3} d^{4} f^{2} g}{{\left(d x + c\right)}^{2}} + 36 \, A a^{3} b^{5} d^{5} f^{2} g + 36 \, B a^{3} b^{5} d^{5} f^{2} g - \frac{324 \, {\left(b x + a\right)}^{2} A a b^{5} c^{2} d^{5} f^{2} g}{{\left(d x + c\right)}^{2}} - \frac{324 \, {\left(b x + a\right)}^{2} B a b^{5} c^{2} d^{5} f^{2} g}{{\left(d x + c\right)}^{2}} - \frac{72 \, {\left(b x + a\right)}^{3} A b^{5} c^{3} d^{5} f^{2} g}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x + a\right)}^{3} B b^{5} c^{3} d^{5} f^{2} g}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x + a\right)} A a^{3} b^{4} d^{6} f^{2} g}{d x + c} - \frac{72 \, {\left(b x + a\right)} B a^{3} b^{4} d^{6} f^{2} g}{d x + c} + \frac{108 \, {\left(b x + a\right)}^{2} A a^{2} b^{4} c d^{6} f^{2} g}{{\left(d x + c\right)}^{2}} + \frac{108 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c d^{6} f^{2} g}{{\left(d x + c\right)}^{2}} + \frac{144 \, {\left(b x + a\right)}^{3} A a b^{4} c^{2} d^{6} f^{2} g}{{\left(d x + c\right)}^{3}} + \frac{144 \, {\left(b x + a\right)}^{3} B a b^{4} c^{2} d^{6} f^{2} g}{{\left(d x + c\right)}^{3}} + \frac{36 \, {\left(b x + a\right)}^{2} A a^{3} b^{3} d^{7} f^{2} g}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} d^{7} f^{2} g}{{\left(d x + c\right)}^{2}} - \frac{72 \, {\left(b x + a\right)}^{3} A a^{2} b^{3} c d^{7} f^{2} g}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c d^{7} f^{2} g}{{\left(d x + c\right)}^{3}} - 24 \, A b^{8} c^{4} d f g^{2} - 24 \, B b^{8} c^{4} d f g^{2} + 24 \, A a b^{7} c^{3} d^{2} f g^{2} + 24 \, B a b^{7} c^{3} d^{2} f g^{2} + \frac{96 \, {\left(b x + a\right)} A b^{7} c^{4} d^{2} f g^{2}}{d x + c} + \frac{96 \, {\left(b x + a\right)} B b^{7} c^{4} d^{2} f g^{2}}{d x + c} - \frac{96 \, {\left(b x + a\right)} A a b^{6} c^{3} d^{3} f g^{2}}{d x + c} - \frac{96 \, {\left(b x + a\right)} B a b^{6} c^{3} d^{3} f g^{2}}{d x + c} - \frac{144 \, {\left(b x + a\right)}^{2} A b^{6} c^{4} d^{3} f g^{2}}{{\left(d x + c\right)}^{2}} - \frac{144 \, {\left(b x + a\right)}^{2} B b^{6} c^{4} d^{3} f g^{2}}{{\left(d x + c\right)}^{2}} + 24 \, A a^{3} b^{5} c d^{4} f g^{2} + 24 \, B a^{3} b^{5} c d^{4} f g^{2} - \frac{72 \, {\left(b x + a\right)} A a^{2} b^{5} c^{2} d^{4} f g^{2}}{d x + c} - \frac{72 \, {\left(b x + a\right)} B a^{2} b^{5} c^{2} d^{4} f g^{2}}{d x + c} + \frac{216 \, {\left(b x + a\right)}^{2} A a b^{5} c^{3} d^{4} f g^{2}}{{\left(d x + c\right)}^{2}} + \frac{216 \, {\left(b x + a\right)}^{2} B a b^{5} c^{3} d^{4} f g^{2}}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x + a\right)}^{3} A b^{5} c^{4} d^{4} f g^{2}}{{\left(d x + c\right)}^{3}} + \frac{72 \, {\left(b x + a\right)}^{3} B b^{5} c^{4} d^{4} f g^{2}}{{\left(d x + c\right)}^{3}} - 24 \, A a^{4} b^{4} d^{5} f g^{2} - 24 \, B a^{4} b^{4} d^{5} f g^{2} + \frac{48 \, {\left(b x + a\right)} A a^{3} b^{4} c d^{5} f g^{2}}{d x + c} + \frac{48 \, {\left(b x + a\right)} B a^{3} b^{4} c d^{5} f g^{2}}{d x + c} - \frac{144 \, {\left(b x + a\right)}^{3} A a b^{4} c^{3} d^{5} f g^{2}}{{\left(d x + c\right)}^{3}} - \frac{144 \, {\left(b x + a\right)}^{3} B a b^{4} c^{3} d^{5} f g^{2}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x + a\right)} A a^{4} b^{3} d^{6} f g^{2}}{d x + c} + \frac{24 \, {\left(b x + a\right)} B a^{4} b^{3} d^{6} f g^{2}}{d x + c} - \frac{72 \, {\left(b x + a\right)}^{2} A a^{3} b^{3} c d^{6} f g^{2}}{{\left(d x + c\right)}^{2}} - \frac{72 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c d^{6} f g^{2}}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x + a\right)}^{3} A a^{2} b^{3} c^{2} d^{6} f g^{2}}{{\left(d x + c\right)}^{3}} + \frac{72 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{2} d^{6} f g^{2}}{{\left(d x + c\right)}^{3}} + 6 \, A b^{8} c^{5} g^{3} + 6 \, B b^{8} c^{5} g^{3} - 6 \, A a b^{7} c^{4} d g^{3} - 6 \, B a b^{7} c^{4} d g^{3} - \frac{24 \, {\left(b x + a\right)} A b^{7} c^{5} d g^{3}}{d x + c} - \frac{24 \, {\left(b x + a\right)} B b^{7} c^{5} d g^{3}}{d x + c} + \frac{24 \, {\left(b x + a\right)} A a b^{6} c^{4} d^{2} g^{3}}{d x + c} + \frac{24 \, {\left(b x + a\right)} B a b^{6} c^{4} d^{2} g^{3}}{d x + c} + \frac{36 \, {\left(b x + a\right)}^{2} A b^{6} c^{5} d^{2} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x + a\right)}^{2} B b^{6} c^{5} d^{2} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x + a\right)}^{2} A a b^{5} c^{4} d^{3} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x + a\right)}^{2} B a b^{5} c^{4} d^{3} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x + a\right)}^{3} A b^{5} c^{5} d^{3} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{24 \, {\left(b x + a\right)}^{3} B b^{5} c^{5} d^{3} g^{3}}{{\left(d x + c\right)}^{3}} - 6 \, A a^{4} b^{4} c d^{4} g^{3} - 6 \, B a^{4} b^{4} c d^{4} g^{3} + \frac{24 \, {\left(b x + a\right)} A a^{3} b^{4} c^{2} d^{4} g^{3}}{d x + c} + \frac{24 \, {\left(b x + a\right)} B a^{3} b^{4} c^{2} d^{4} g^{3}}{d x + c} - \frac{36 \, {\left(b x + a\right)}^{2} A a^{2} b^{4} c^{3} d^{4} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x + a\right)}^{2} B a^{2} b^{4} c^{3} d^{4} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{48 \, {\left(b x + a\right)}^{3} A a b^{4} c^{4} d^{4} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{48 \, {\left(b x + a\right)}^{3} B a b^{4} c^{4} d^{4} g^{3}}{{\left(d x + c\right)}^{3}} + 6 \, A a^{5} b^{3} d^{5} g^{3} + 6 \, B a^{5} b^{3} d^{5} g^{3} - \frac{24 \, {\left(b x + a\right)} A a^{4} b^{3} c d^{5} g^{3}}{d x + c} - \frac{24 \, {\left(b x + a\right)} B a^{4} b^{3} c d^{5} g^{3}}{d x + c} + \frac{36 \, {\left(b x + a\right)}^{2} A a^{3} b^{3} c^{2} d^{5} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x + a\right)}^{2} B a^{3} b^{3} c^{2} d^{5} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x + a\right)}^{3} A a^{2} b^{3} c^{3} d^{5} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{24 \, {\left(b x + a\right)}^{3} B a^{2} b^{3} c^{3} d^{5} g^{3}}{{\left(d x + c\right)}^{3}}}{b^{7} d^{4} - \frac{4 \, {\left(b x + a\right)} b^{6} d^{5}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b^{5} d^{6}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x + a\right)}^{3} b^{4} d^{7}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x + a\right)}^{4} b^{3} d^{8}}{{\left(d x + c\right)}^{4}}} + \frac{6 \, {\left(4 \, B b^{5} c^{2} d^{3} f^{3} n - 8 \, B a b^{4} c d^{4} f^{3} n + 4 \, B a^{2} b^{3} d^{5} f^{3} n - 6 \, B b^{5} c^{3} d^{2} f^{2} g n + 6 \, B a b^{4} c^{2} d^{3} f^{2} g n + 6 \, B a^{2} b^{3} c d^{4} f^{2} g n - 6 \, B a^{3} b^{2} d^{5} f^{2} g n + 4 \, B b^{5} c^{4} d f g^{2} n - 4 \, B a b^{4} c^{3} d^{2} f g^{2} n - 4 \, B a^{3} b^{2} c d^{4} f g^{2} n + 4 \, B a^{4} b d^{5} f g^{2} n - B b^{5} c^{5} g^{3} n + B a b^{4} c^{4} d g^{3} n + B a^{4} b c d^{4} g^{3} n - B a^{5} d^{5} g^{3} n\right)} \log\left(-b + \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{4} d^{4}} - \frac{6 \, {\left(4 \, B b^{5} c^{2} d^{3} f^{3} n - 8 \, B a b^{4} c d^{4} f^{3} n + 4 \, B a^{2} b^{3} d^{5} f^{3} n - 6 \, B b^{5} c^{3} d^{2} f^{2} g n + 6 \, B a b^{4} c^{2} d^{3} f^{2} g n + 6 \, B a^{2} b^{3} c d^{4} f^{2} g n - 6 \, B a^{3} b^{2} d^{5} f^{2} g n + 4 \, B b^{5} c^{4} d f g^{2} n - 4 \, B a b^{4} c^{3} d^{2} f g^{2} n - 4 \, B a^{3} b^{2} c d^{4} f g^{2} n + 4 \, B a^{4} b d^{5} f g^{2} n - B b^{5} c^{5} g^{3} n + B a b^{4} c^{4} d g^{3} n + B a^{4} b c d^{4} g^{3} n - B a^{5} d^{5} g^{3} 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,"1/24*(6*(4*B*b^5*c^2*d^3*f^3*n - 8*B*a*b^4*c*d^4*f^3*n - 12*(b*x + a)*B*b^4*c^2*d^4*f^3*n/(d*x + c) + 4*B*a^2*b^3*d^5*f^3*n + 24*(b*x + a)*B*a*b^3*c*d^5*f^3*n/(d*x + c) + 12*(b*x + a)^2*B*b^3*c^2*d^5*f^3*n/(d*x + c)^2 - 12*(b*x + a)*B*a^2*b^2*d^6*f^3*n/(d*x + c) - 24*(b*x + a)^2*B*a*b^2*c*d^6*f^3*n/(d*x + c)^2 - 4*(b*x + a)^3*B*b^2*c^2*d^6*f^3*n/(d*x + c)^3 + 12*(b*x + a)^2*B*a^2*b*d^7*f^3*n/(d*x + c)^2 + 8*(b*x + a)^3*B*a*b*c*d^7*f^3*n/(d*x + c)^3 - 4*(b*x + a)^3*B*a^2*d^8*f^3*n/(d*x + c)^3 - 6*B*b^5*c^3*d^2*f^2*g*n + 6*B*a*b^4*c^2*d^3*f^2*g*n + 24*(b*x + a)*B*b^4*c^3*d^3*f^2*g*n/(d*x + c) + 6*B*a^2*b^3*c*d^4*f^2*g*n - 36*(b*x + a)*B*a*b^3*c^2*d^4*f^2*g*n/(d*x + c) - 30*(b*x + a)^2*B*b^3*c^3*d^4*f^2*g*n/(d*x + c)^2 - 6*B*a^3*b^2*d^5*f^2*g*n + 54*(b*x + a)^2*B*a*b^2*c^2*d^5*f^2*g*n/(d*x + c)^2 + 12*(b*x + a)^3*B*b^2*c^3*d^5*f^2*g*n/(d*x + c)^3 + 12*(b*x + a)*B*a^3*b*d^6*f^2*g*n/(d*x + c) - 18*(b*x + a)^2*B*a^2*b*c*d^6*f^2*g*n/(d*x + c)^2 - 24*(b*x + a)^3*B*a*b*c^2*d^6*f^2*g*n/(d*x + c)^3 - 6*(b*x + a)^2*B*a^3*d^7*f^2*g*n/(d*x + c)^2 + 12*(b*x + a)^3*B*a^2*c*d^7*f^2*g*n/(d*x + c)^3 + 4*B*b^5*c^4*d*f*g^2*n - 4*B*a*b^4*c^3*d^2*f*g^2*n - 16*(b*x + a)*B*b^4*c^4*d^2*f*g^2*n/(d*x + c) + 16*(b*x + a)*B*a*b^3*c^3*d^3*f*g^2*n/(d*x + c) + 24*(b*x + a)^2*B*b^3*c^4*d^3*f*g^2*n/(d*x + c)^2 - 4*B*a^3*b^2*c*d^4*f*g^2*n + 12*(b*x + a)*B*a^2*b^2*c^2*d^4*f*g^2*n/(d*x + c) - 36*(b*x + a)^2*B*a*b^2*c^3*d^4*f*g^2*n/(d*x + c)^2 - 12*(b*x + a)^3*B*b^2*c^4*d^4*f*g^2*n/(d*x + c)^3 + 4*B*a^4*b*d^5*f*g^2*n - 8*(b*x + a)*B*a^3*b*c*d^5*f*g^2*n/(d*x + c) + 24*(b*x + a)^3*B*a*b*c^3*d^5*f*g^2*n/(d*x + c)^3 - 4*(b*x + a)*B*a^4*d^6*f*g^2*n/(d*x + c) + 12*(b*x + a)^2*B*a^3*c*d^6*f*g^2*n/(d*x + c)^2 - 12*(b*x + a)^3*B*a^2*c^2*d^6*f*g^2*n/(d*x + c)^3 - B*b^5*c^5*g^3*n + B*a*b^4*c^4*d*g^3*n + 4*(b*x + a)*B*b^4*c^5*d*g^3*n/(d*x + c) - 4*(b*x + a)*B*a*b^3*c^4*d^2*g^3*n/(d*x + c) - 6*(b*x + a)^2*B*b^3*c^5*d^2*g^3*n/(d*x + c)^2 + 6*(b*x + a)^2*B*a*b^2*c^4*d^3*g^3*n/(d*x + c)^2 + 4*(b*x + a)^3*B*b^2*c^5*d^3*g^3*n/(d*x + c)^3 + B*a^4*b*c*d^4*g^3*n - 4*(b*x + a)*B*a^3*b*c^2*d^4*g^3*n/(d*x + c) + 6*(b*x + a)^2*B*a^2*b*c^3*d^4*g^3*n/(d*x + c)^2 - 8*(b*x + a)^3*B*a*b*c^4*d^4*g^3*n/(d*x + c)^3 - B*a^5*d^5*g^3*n + 4*(b*x + a)*B*a^4*c*d^5*g^3*n/(d*x + c) - 6*(b*x + a)^2*B*a^3*c^2*d^5*g^3*n/(d*x + c)^2 + 4*(b*x + a)^3*B*a^2*c^3*d^5*g^3*n/(d*x + c)^3)*log((b*x + a)/(d*x + c))/(b^4*d^4 - 4*(b*x + a)*b^3*d^5/(d*x + c) + 6*(b*x + a)^2*b^2*d^6/(d*x + c)^2 - 4*(b*x + a)^3*b*d^7/(d*x + c)^3 + (b*x + a)^4*d^8/(d*x + c)^4) - (36*B*b^8*c^3*d^2*f^2*g*n - 108*B*a*b^7*c^2*d^3*f^2*g*n - 108*(b*x + a)*B*b^7*c^3*d^3*f^2*g*n/(d*x + c) + 108*B*a^2*b^6*c*d^4*f^2*g*n + 324*(b*x + a)*B*a*b^6*c^2*d^4*f^2*g*n/(d*x + c) + 108*(b*x + a)^2*B*b^6*c^3*d^4*f^2*g*n/(d*x + c)^2 - 36*B*a^3*b^5*d^5*f^2*g*n - 324*(b*x + a)*B*a^2*b^5*c*d^5*f^2*g*n/(d*x + c) - 324*(b*x + a)^2*B*a*b^5*c^2*d^5*f^2*g*n/(d*x + c)^2 - 36*(b*x + a)^3*B*b^5*c^3*d^5*f^2*g*n/(d*x + c)^3 + 108*(b*x + a)*B*a^3*b^4*d^6*f^2*g*n/(d*x + c) + 324*(b*x + a)^2*B*a^2*b^4*c*d^6*f^2*g*n/(d*x + c)^2 + 108*(b*x + a)^3*B*a*b^4*c^2*d^6*f^2*g*n/(d*x + c)^3 - 108*(b*x + a)^2*B*a^3*b^3*d^7*f^2*g*n/(d*x + c)^2 - 108*(b*x + a)^3*B*a^2*b^3*c*d^7*f^2*g*n/(d*x + c)^3 + 36*(b*x + a)^3*B*a^3*b^2*d^8*f^2*g*n/(d*x + c)^3 - 36*B*b^8*c^4*d*f*g^2*n + 72*B*a*b^7*c^3*d^2*f*g^2*n + 120*(b*x + a)*B*b^7*c^4*d^2*f*g^2*n/(d*x + c) - 264*(b*x + a)*B*a*b^6*c^3*d^3*f*g^2*n/(d*x + c) - 132*(b*x + a)^2*B*b^6*c^4*d^3*f*g^2*n/(d*x + c)^2 - 72*B*a^3*b^5*c*d^4*f*g^2*n + 72*(b*x + a)*B*a^2*b^5*c^2*d^4*f*g^2*n/(d*x + c) + 312*(b*x + a)^2*B*a*b^5*c^3*d^4*f*g^2*n/(d*x + c)^2 + 48*(b*x + a)^3*B*b^5*c^4*d^4*f*g^2*n/(d*x + c)^3 + 36*B*a^4*b^4*d^5*f*g^2*n + 168*(b*x + a)*B*a^3*b^4*c*d^5*f*g^2*n/(d*x + c) - 144*(b*x + a)^2*B*a^2*b^4*c^2*d^5*f*g^2*n/(d*x + c)^2 - 120*(b*x + a)^3*B*a*b^4*c^3*d^5*f*g^2*n/(d*x + c)^3 - 96*(b*x + a)*B*a^4*b^3*d^6*f*g^2*n/(d*x + c) - 120*(b*x + a)^2*B*a^3*b^3*c*d^6*f*g^2*n/(d*x + c)^2 + 72*(b*x + a)^3*B*a^2*b^3*c^2*d^6*f*g^2*n/(d*x + c)^3 + 84*(b*x + a)^2*B*a^4*b^2*d^7*f*g^2*n/(d*x + c)^2 + 24*(b*x + a)^3*B*a^3*b^2*c*d^7*f*g^2*n/(d*x + c)^3 - 24*(b*x + a)^3*B*a^4*b*d^8*f*g^2*n/(d*x + c)^3 + 11*B*b^8*c^5*g^3*n - 19*B*a*b^7*c^4*d*g^3*n - 38*(b*x + a)*B*b^7*c^5*d*g^3*n/(d*x + c) + 2*B*a^2*b^6*c^3*d^2*g^3*n + 70*(b*x + a)*B*a*b^6*c^4*d^2*g^3*n/(d*x + c) + 45*(b*x + a)^2*B*b^6*c^5*d^2*g^3*n/(d*x + c)^2 - 2*B*a^3*b^5*c^2*d^3*g^3*n - 8*(b*x + a)*B*a^2*b^5*c^3*d^3*g^3*n/(d*x + c) - 93*(b*x + a)^2*B*a*b^5*c^4*d^3*g^3*n/(d*x + c)^2 - 18*(b*x + a)^3*B*b^5*c^5*d^3*g^3*n/(d*x + c)^3 + 19*B*a^4*b^4*c*d^4*g^3*n - 16*(b*x + a)*B*a^3*b^4*c^2*d^4*g^3*n/(d*x + c) + 30*(b*x + a)^2*B*a^2*b^4*c^3*d^4*g^3*n/(d*x + c)^2 + 42*(b*x + a)^3*B*a*b^4*c^4*d^4*g^3*n/(d*x + c)^3 - 11*B*a^5*b^3*d^5*g^3*n - 34*(b*x + a)*B*a^4*b^3*c*d^5*g^3*n/(d*x + c) + 18*(b*x + a)^2*B*a^3*b^3*c^2*d^5*g^3*n/(d*x + c)^2 - 24*(b*x + a)^3*B*a^2*b^3*c^3*d^5*g^3*n/(d*x + c)^3 + 26*(b*x + a)*B*a^5*b^2*d^6*g^3*n/(d*x + c) + 21*(b*x + a)^2*B*a^4*b^2*c*d^6*g^3*n/(d*x + c)^2 - 21*(b*x + a)^2*B*a^5*b*d^7*g^3*n/(d*x + c)^2 - 6*(b*x + a)^3*B*a^4*b*c*d^7*g^3*n/(d*x + c)^3 + 6*(b*x + a)^3*B*a^5*d^8*g^3*n/(d*x + c)^3 - 24*A*b^8*c^2*d^3*f^3 - 24*B*b^8*c^2*d^3*f^3 + 48*A*a*b^7*c*d^4*f^3 + 48*B*a*b^7*c*d^4*f^3 + 72*(b*x + a)*A*b^7*c^2*d^4*f^3/(d*x + c) + 72*(b*x + a)*B*b^7*c^2*d^4*f^3/(d*x + c) - 24*A*a^2*b^6*d^5*f^3 - 24*B*a^2*b^6*d^5*f^3 - 144*(b*x + a)*A*a*b^6*c*d^5*f^3/(d*x + c) - 144*(b*x + a)*B*a*b^6*c*d^5*f^3/(d*x + c) - 72*(b*x + a)^2*A*b^6*c^2*d^5*f^3/(d*x + c)^2 - 72*(b*x + a)^2*B*b^6*c^2*d^5*f^3/(d*x + c)^2 + 72*(b*x + a)*A*a^2*b^5*d^6*f^3/(d*x + c) + 72*(b*x + a)*B*a^2*b^5*d^6*f^3/(d*x + c) + 144*(b*x + a)^2*A*a*b^5*c*d^6*f^3/(d*x + c)^2 + 144*(b*x + a)^2*B*a*b^5*c*d^6*f^3/(d*x + c)^2 + 24*(b*x + a)^3*A*b^5*c^2*d^6*f^3/(d*x + c)^3 + 24*(b*x + a)^3*B*b^5*c^2*d^6*f^3/(d*x + c)^3 - 72*(b*x + a)^2*A*a^2*b^4*d^7*f^3/(d*x + c)^2 - 72*(b*x + a)^2*B*a^2*b^4*d^7*f^3/(d*x + c)^2 - 48*(b*x + a)^3*A*a*b^4*c*d^7*f^3/(d*x + c)^3 - 48*(b*x + a)^3*B*a*b^4*c*d^7*f^3/(d*x + c)^3 + 24*(b*x + a)^3*A*a^2*b^3*d^8*f^3/(d*x + c)^3 + 24*(b*x + a)^3*B*a^2*b^3*d^8*f^3/(d*x + c)^3 + 36*A*b^8*c^3*d^2*f^2*g + 36*B*b^8*c^3*d^2*f^2*g - 36*A*a*b^7*c^2*d^3*f^2*g - 36*B*a*b^7*c^2*d^3*f^2*g - 144*(b*x + a)*A*b^7*c^3*d^3*f^2*g/(d*x + c) - 144*(b*x + a)*B*b^7*c^3*d^3*f^2*g/(d*x + c) - 36*A*a^2*b^6*c*d^4*f^2*g - 36*B*a^2*b^6*c*d^4*f^2*g + 216*(b*x + a)*A*a*b^6*c^2*d^4*f^2*g/(d*x + c) + 216*(b*x + a)*B*a*b^6*c^2*d^4*f^2*g/(d*x + c) + 180*(b*x + a)^2*A*b^6*c^3*d^4*f^2*g/(d*x + c)^2 + 180*(b*x + a)^2*B*b^6*c^3*d^4*f^2*g/(d*x + c)^2 + 36*A*a^3*b^5*d^5*f^2*g + 36*B*a^3*b^5*d^5*f^2*g - 324*(b*x + a)^2*A*a*b^5*c^2*d^5*f^2*g/(d*x + c)^2 - 324*(b*x + a)^2*B*a*b^5*c^2*d^5*f^2*g/(d*x + c)^2 - 72*(b*x + a)^3*A*b^5*c^3*d^5*f^2*g/(d*x + c)^3 - 72*(b*x + a)^3*B*b^5*c^3*d^5*f^2*g/(d*x + c)^3 - 72*(b*x + a)*A*a^3*b^4*d^6*f^2*g/(d*x + c) - 72*(b*x + a)*B*a^3*b^4*d^6*f^2*g/(d*x + c) + 108*(b*x + a)^2*A*a^2*b^4*c*d^6*f^2*g/(d*x + c)^2 + 108*(b*x + a)^2*B*a^2*b^4*c*d^6*f^2*g/(d*x + c)^2 + 144*(b*x + a)^3*A*a*b^4*c^2*d^6*f^2*g/(d*x + c)^3 + 144*(b*x + a)^3*B*a*b^4*c^2*d^6*f^2*g/(d*x + c)^3 + 36*(b*x + a)^2*A*a^3*b^3*d^7*f^2*g/(d*x + c)^2 + 36*(b*x + a)^2*B*a^3*b^3*d^7*f^2*g/(d*x + c)^2 - 72*(b*x + a)^3*A*a^2*b^3*c*d^7*f^2*g/(d*x + c)^3 - 72*(b*x + a)^3*B*a^2*b^3*c*d^7*f^2*g/(d*x + c)^3 - 24*A*b^8*c^4*d*f*g^2 - 24*B*b^8*c^4*d*f*g^2 + 24*A*a*b^7*c^3*d^2*f*g^2 + 24*B*a*b^7*c^3*d^2*f*g^2 + 96*(b*x + a)*A*b^7*c^4*d^2*f*g^2/(d*x + c) + 96*(b*x + a)*B*b^7*c^4*d^2*f*g^2/(d*x + c) - 96*(b*x + a)*A*a*b^6*c^3*d^3*f*g^2/(d*x + c) - 96*(b*x + a)*B*a*b^6*c^3*d^3*f*g^2/(d*x + c) - 144*(b*x + a)^2*A*b^6*c^4*d^3*f*g^2/(d*x + c)^2 - 144*(b*x + a)^2*B*b^6*c^4*d^3*f*g^2/(d*x + c)^2 + 24*A*a^3*b^5*c*d^4*f*g^2 + 24*B*a^3*b^5*c*d^4*f*g^2 - 72*(b*x + a)*A*a^2*b^5*c^2*d^4*f*g^2/(d*x + c) - 72*(b*x + a)*B*a^2*b^5*c^2*d^4*f*g^2/(d*x + c) + 216*(b*x + a)^2*A*a*b^5*c^3*d^4*f*g^2/(d*x + c)^2 + 216*(b*x + a)^2*B*a*b^5*c^3*d^4*f*g^2/(d*x + c)^2 + 72*(b*x + a)^3*A*b^5*c^4*d^4*f*g^2/(d*x + c)^3 + 72*(b*x + a)^3*B*b^5*c^4*d^4*f*g^2/(d*x + c)^3 - 24*A*a^4*b^4*d^5*f*g^2 - 24*B*a^4*b^4*d^5*f*g^2 + 48*(b*x + a)*A*a^3*b^4*c*d^5*f*g^2/(d*x + c) + 48*(b*x + a)*B*a^3*b^4*c*d^5*f*g^2/(d*x + c) - 144*(b*x + a)^3*A*a*b^4*c^3*d^5*f*g^2/(d*x + c)^3 - 144*(b*x + a)^3*B*a*b^4*c^3*d^5*f*g^2/(d*x + c)^3 + 24*(b*x + a)*A*a^4*b^3*d^6*f*g^2/(d*x + c) + 24*(b*x + a)*B*a^4*b^3*d^6*f*g^2/(d*x + c) - 72*(b*x + a)^2*A*a^3*b^3*c*d^6*f*g^2/(d*x + c)^2 - 72*(b*x + a)^2*B*a^3*b^3*c*d^6*f*g^2/(d*x + c)^2 + 72*(b*x + a)^3*A*a^2*b^3*c^2*d^6*f*g^2/(d*x + c)^3 + 72*(b*x + a)^3*B*a^2*b^3*c^2*d^6*f*g^2/(d*x + c)^3 + 6*A*b^8*c^5*g^3 + 6*B*b^8*c^5*g^3 - 6*A*a*b^7*c^4*d*g^3 - 6*B*a*b^7*c^4*d*g^3 - 24*(b*x + a)*A*b^7*c^5*d*g^3/(d*x + c) - 24*(b*x + a)*B*b^7*c^5*d*g^3/(d*x + c) + 24*(b*x + a)*A*a*b^6*c^4*d^2*g^3/(d*x + c) + 24*(b*x + a)*B*a*b^6*c^4*d^2*g^3/(d*x + c) + 36*(b*x + a)^2*A*b^6*c^5*d^2*g^3/(d*x + c)^2 + 36*(b*x + a)^2*B*b^6*c^5*d^2*g^3/(d*x + c)^2 - 36*(b*x + a)^2*A*a*b^5*c^4*d^3*g^3/(d*x + c)^2 - 36*(b*x + a)^2*B*a*b^5*c^4*d^3*g^3/(d*x + c)^2 - 24*(b*x + a)^3*A*b^5*c^5*d^3*g^3/(d*x + c)^3 - 24*(b*x + a)^3*B*b^5*c^5*d^3*g^3/(d*x + c)^3 - 6*A*a^4*b^4*c*d^4*g^3 - 6*B*a^4*b^4*c*d^4*g^3 + 24*(b*x + a)*A*a^3*b^4*c^2*d^4*g^3/(d*x + c) + 24*(b*x + a)*B*a^3*b^4*c^2*d^4*g^3/(d*x + c) - 36*(b*x + a)^2*A*a^2*b^4*c^3*d^4*g^3/(d*x + c)^2 - 36*(b*x + a)^2*B*a^2*b^4*c^3*d^4*g^3/(d*x + c)^2 + 48*(b*x + a)^3*A*a*b^4*c^4*d^4*g^3/(d*x + c)^3 + 48*(b*x + a)^3*B*a*b^4*c^4*d^4*g^3/(d*x + c)^3 + 6*A*a^5*b^3*d^5*g^3 + 6*B*a^5*b^3*d^5*g^3 - 24*(b*x + a)*A*a^4*b^3*c*d^5*g^3/(d*x + c) - 24*(b*x + a)*B*a^4*b^3*c*d^5*g^3/(d*x + c) + 36*(b*x + a)^2*A*a^3*b^3*c^2*d^5*g^3/(d*x + c)^2 + 36*(b*x + a)^2*B*a^3*b^3*c^2*d^5*g^3/(d*x + c)^2 - 24*(b*x + a)^3*A*a^2*b^3*c^3*d^5*g^3/(d*x + c)^3 - 24*(b*x + a)^3*B*a^2*b^3*c^3*d^5*g^3/(d*x + c)^3)/(b^7*d^4 - 4*(b*x + a)*b^6*d^5/(d*x + c) + 6*(b*x + a)^2*b^5*d^6/(d*x + c)^2 - 4*(b*x + a)^3*b^4*d^7/(d*x + c)^3 + (b*x + a)^4*b^3*d^8/(d*x + c)^4) + 6*(4*B*b^5*c^2*d^3*f^3*n - 8*B*a*b^4*c*d^4*f^3*n + 4*B*a^2*b^3*d^5*f^3*n - 6*B*b^5*c^3*d^2*f^2*g*n + 6*B*a*b^4*c^2*d^3*f^2*g*n + 6*B*a^2*b^3*c*d^4*f^2*g*n - 6*B*a^3*b^2*d^5*f^2*g*n + 4*B*b^5*c^4*d*f*g^2*n - 4*B*a*b^4*c^3*d^2*f*g^2*n - 4*B*a^3*b^2*c*d^4*f*g^2*n + 4*B*a^4*b*d^5*f*g^2*n - B*b^5*c^5*g^3*n + B*a*b^4*c^4*d*g^3*n + B*a^4*b*c*d^4*g^3*n - B*a^5*d^5*g^3*n)*log(-b + (b*x + a)*d/(d*x + c))/(b^4*d^4) - 6*(4*B*b^5*c^2*d^3*f^3*n - 8*B*a*b^4*c*d^4*f^3*n + 4*B*a^2*b^3*d^5*f^3*n - 6*B*b^5*c^3*d^2*f^2*g*n + 6*B*a*b^4*c^2*d^3*f^2*g*n + 6*B*a^2*b^3*c*d^4*f^2*g*n - 6*B*a^3*b^2*d^5*f^2*g*n + 4*B*b^5*c^4*d*f*g^2*n - 4*B*a*b^4*c^3*d^2*f*g^2*n - 4*B*a^3*b^2*c*d^4*f*g^2*n + 4*B*a^4*b*d^5*f*g^2*n - B*b^5*c^5*g^3*n + B*a*b^4*c^4*d*g^3*n + B*a^4*b*c*d^4*g^3*n - B*a^5*d^5*g^3*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
59,1,3346,0,5.579557," ","integrate((g*x+f)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{6} \, {\left(\frac{2 \, {\left(3 \, B b^{4} c^{2} d^{2} f^{2} n - 6 \, B a b^{3} c d^{3} f^{2} n - \frac{6 \, {\left(b x + a\right)} B b^{3} c^{2} d^{3} f^{2} n}{d x + c} + 3 \, B a^{2} b^{2} d^{4} f^{2} n + \frac{12 \, {\left(b x + a\right)} B a b^{2} c d^{4} f^{2} n}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} B b^{2} c^{2} d^{4} f^{2} n}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)} B a^{2} b d^{5} f^{2} n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B a b c d^{5} f^{2} n}{{\left(d x + c\right)}^{2}} + \frac{3 \, {\left(b x + a\right)}^{2} B a^{2} d^{6} f^{2} n}{{\left(d x + c\right)}^{2}} - 3 \, B b^{4} c^{3} d f g n + 3 \, B a b^{3} c^{2} d^{2} f g n + \frac{9 \, {\left(b x + a\right)} B b^{3} c^{3} d^{2} f g n}{d x + c} + 3 \, B a^{2} b^{2} c d^{3} f g n - \frac{15 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{3} f g n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B b^{2} c^{3} d^{3} f g n}{{\left(d x + c\right)}^{2}} - 3 \, B a^{3} b d^{4} f g n + \frac{3 \, {\left(b x + a\right)} B a^{2} b c d^{4} f g n}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} B a b c^{2} d^{4} f g n}{{\left(d x + c\right)}^{2}} + \frac{3 \, {\left(b x + a\right)} B a^{3} d^{5} f g n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} c d^{5} f g n}{{\left(d x + c\right)}^{2}} + B b^{4} c^{4} g^{2} n - B a b^{3} c^{3} d g^{2} n - \frac{3 \, {\left(b x + a\right)} B b^{3} c^{4} d g^{2} n}{d x + c} + \frac{3 \, {\left(b x + a\right)} B a b^{2} c^{3} d^{2} g^{2} n}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} B b^{2} c^{4} d^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - B a^{3} b c d^{3} g^{2} n + \frac{3 \, {\left(b x + a\right)} B a^{2} b c^{2} d^{3} g^{2} n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B a b c^{3} d^{3} g^{2} n}{{\left(d x + c\right)}^{2}} + B a^{4} d^{4} g^{2} n - \frac{3 \, {\left(b x + a\right)} B a^{3} c d^{4} g^{2} n}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} B a^{2} c^{2} d^{4} g^{2} n}{{\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{3} d^{3} - \frac{3 \, {\left(b x + a\right)} b^{2} d^{4}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} b d^{5}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} d^{6}}{{\left(d x + c\right)}^{3}}} - \frac{6 \, B b^{6} c^{3} d f g n - 18 \, B a b^{5} c^{2} d^{2} f g n - \frac{12 \, {\left(b x + a\right)} B b^{5} c^{3} d^{2} f g n}{d x + c} + 18 \, B a^{2} b^{4} c d^{3} f g n + \frac{36 \, {\left(b x + a\right)} B a b^{4} c^{2} d^{3} f g n}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B b^{4} c^{3} d^{3} f g n}{{\left(d x + c\right)}^{2}} - 6 \, B a^{3} b^{3} d^{4} f g n - \frac{36 \, {\left(b x + a\right)} B a^{2} b^{3} c d^{4} f g n}{d x + c} - \frac{18 \, {\left(b x + a\right)}^{2} B a b^{3} c^{2} d^{4} f g n}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)} B a^{3} b^{2} d^{5} f g n}{d x + c} + \frac{18 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c d^{5} f g n}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{3} b d^{6} f g n}{{\left(d x + c\right)}^{2}} - 3 \, B b^{6} c^{4} g^{2} n + 6 \, B a b^{5} c^{3} d g^{2} n + \frac{7 \, {\left(b x + a\right)} B b^{5} c^{4} d g^{2} n}{d x + c} - \frac{16 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} g^{2} n}{d x + c} - \frac{4 \, {\left(b x + a\right)}^{2} B b^{4} c^{4} d^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - 6 \, B a^{3} b^{3} c d^{3} g^{2} n + \frac{6 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} g^{2} n}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{3} g^{2} n}{{\left(d x + c\right)}^{2}} + 3 \, B a^{4} b^{2} d^{4} g^{2} n + \frac{8 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} g^{2} n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{4} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{5 \, {\left(b x + a\right)} B a^{4} b d^{5} g^{2} n}{d x + c} - \frac{2 \, {\left(b x + a\right)}^{2} B a^{3} b c d^{5} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x + a\right)}^{2} B a^{4} d^{6} g^{2} n}{{\left(d x + c\right)}^{2}} - 6 \, A b^{6} c^{2} d^{2} f^{2} - 6 \, B b^{6} c^{2} d^{2} f^{2} + 12 \, A a b^{5} c d^{3} f^{2} + 12 \, B a b^{5} c d^{3} f^{2} + \frac{12 \, {\left(b x + a\right)} A b^{5} c^{2} d^{3} f^{2}}{d x + c} + \frac{12 \, {\left(b x + a\right)} B b^{5} c^{2} d^{3} f^{2}}{d x + c} - 6 \, A a^{2} b^{4} d^{4} f^{2} - 6 \, B a^{2} b^{4} d^{4} f^{2} - \frac{24 \, {\left(b x + a\right)} A a b^{4} c d^{4} f^{2}}{d x + c} - \frac{24 \, {\left(b x + a\right)} B a b^{4} c d^{4} f^{2}}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} A b^{4} c^{2} d^{4} f^{2}}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{2} B b^{4} c^{2} d^{4} f^{2}}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)} A a^{2} b^{3} d^{5} f^{2}}{d x + c} + \frac{12 \, {\left(b x + a\right)} B a^{2} b^{3} d^{5} f^{2}}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A a b^{3} c d^{5} f^{2}}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B a b^{3} c d^{5} f^{2}}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{2} A a^{2} b^{2} d^{6} f^{2}}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} d^{6} f^{2}}{{\left(d x + c\right)}^{2}} + 6 \, A b^{6} c^{3} d f g + 6 \, B b^{6} c^{3} d f g - 6 \, A a b^{5} c^{2} d^{2} f g - 6 \, B a b^{5} c^{2} d^{2} f g - \frac{18 \, {\left(b x + a\right)} A b^{5} c^{3} d^{2} f g}{d x + c} - \frac{18 \, {\left(b x + a\right)} B b^{5} c^{3} d^{2} f g}{d x + c} - 6 \, A a^{2} b^{4} c d^{3} f g - 6 \, B a^{2} b^{4} c d^{3} f g + \frac{30 \, {\left(b x + a\right)} A a b^{4} c^{2} d^{3} f g}{d x + c} + \frac{30 \, {\left(b x + a\right)} B a b^{4} c^{2} d^{3} f g}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A b^{4} c^{3} d^{3} f g}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B b^{4} c^{3} d^{3} f g}{{\left(d x + c\right)}^{2}} + 6 \, A a^{3} b^{3} d^{4} f g + 6 \, B a^{3} b^{3} d^{4} f g - \frac{6 \, {\left(b x + a\right)} A a^{2} b^{3} c d^{4} f g}{d x + c} - \frac{6 \, {\left(b x + a\right)} B a^{2} b^{3} c d^{4} f g}{d x + c} - \frac{24 \, {\left(b x + a\right)}^{2} A a b^{3} c^{2} d^{4} f g}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x + a\right)}^{2} B a b^{3} c^{2} d^{4} f g}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)} A a^{3} b^{2} d^{5} f g}{d x + c} - \frac{6 \, {\left(b x + a\right)} B a^{3} b^{2} d^{5} f g}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A a^{2} b^{2} c d^{5} f g}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c d^{5} f g}{{\left(d x + c\right)}^{2}} - 2 \, A b^{6} c^{4} g^{2} - 2 \, B b^{6} c^{4} g^{2} + 2 \, A a b^{5} c^{3} d g^{2} + 2 \, B a b^{5} c^{3} d g^{2} + \frac{6 \, {\left(b x + a\right)} A b^{5} c^{4} d g^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)} B b^{5} c^{4} d g^{2}}{d x + c} - \frac{6 \, {\left(b x + a\right)} A a b^{4} c^{3} d^{2} g^{2}}{d x + c} - \frac{6 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} g^{2}}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} A b^{4} c^{4} d^{2} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{2} B b^{4} c^{4} d^{2} g^{2}}{{\left(d x + c\right)}^{2}} + 2 \, A a^{3} b^{3} c d^{3} g^{2} + 2 \, B a^{3} b^{3} c d^{3} g^{2} - \frac{6 \, {\left(b x + a\right)} A a^{2} b^{3} c^{2} d^{3} g^{2}}{d x + c} - \frac{6 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} g^{2}}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A a b^{3} c^{3} d^{3} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{3} g^{2}}{{\left(d x + c\right)}^{2}} - 2 \, A a^{4} b^{2} d^{4} g^{2} - 2 \, B a^{4} b^{2} d^{4} g^{2} + \frac{6 \, {\left(b x + a\right)} A a^{3} b^{2} c d^{4} g^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} g^{2}}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} A a^{2} b^{2} c^{2} d^{4} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{4} g^{2}}{{\left(d x + c\right)}^{2}}}{b^{5} d^{3} - \frac{3 \, {\left(b x + a\right)} b^{4} d^{4}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} b^{3} d^{5}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} b^{2} d^{6}}{{\left(d x + c\right)}^{3}}} + \frac{2 \, {\left(3 \, B b^{4} c^{2} d^{2} f^{2} n - 6 \, B a b^{3} c d^{3} f^{2} n + 3 \, B a^{2} b^{2} d^{4} f^{2} n - 3 \, B b^{4} c^{3} d f g n + 3 \, B a b^{3} c^{2} d^{2} f g n + 3 \, B a^{2} b^{2} c d^{3} f g n - 3 \, B a^{3} b d^{4} f g n + B b^{4} c^{4} g^{2} n - B a b^{3} c^{3} d g^{2} n - B a^{3} b c d^{3} g^{2} n + B a^{4} d^{4} 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(3 \, B b^{4} c^{2} d^{2} f^{2} n - 6 \, B a b^{3} c d^{3} f^{2} n + 3 \, B a^{2} b^{2} d^{4} f^{2} n - 3 \, B b^{4} c^{3} d f g n + 3 \, B a b^{3} c^{2} d^{2} f g n + 3 \, B a^{2} b^{2} c d^{3} f g n - 3 \, B a^{3} b d^{4} f g n + B b^{4} c^{4} g^{2} n - B a b^{3} c^{3} d g^{2} n - B a^{3} b c d^{3} g^{2} n + B a^{4} d^{4} 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,"1/6*(2*(3*B*b^4*c^2*d^2*f^2*n - 6*B*a*b^3*c*d^3*f^2*n - 6*(b*x + a)*B*b^3*c^2*d^3*f^2*n/(d*x + c) + 3*B*a^2*b^2*d^4*f^2*n + 12*(b*x + a)*B*a*b^2*c*d^4*f^2*n/(d*x + c) + 3*(b*x + a)^2*B*b^2*c^2*d^4*f^2*n/(d*x + c)^2 - 6*(b*x + a)*B*a^2*b*d^5*f^2*n/(d*x + c) - 6*(b*x + a)^2*B*a*b*c*d^5*f^2*n/(d*x + c)^2 + 3*(b*x + a)^2*B*a^2*d^6*f^2*n/(d*x + c)^2 - 3*B*b^4*c^3*d*f*g*n + 3*B*a*b^3*c^2*d^2*f*g*n + 9*(b*x + a)*B*b^3*c^3*d^2*f*g*n/(d*x + c) + 3*B*a^2*b^2*c*d^3*f*g*n - 15*(b*x + a)*B*a*b^2*c^2*d^3*f*g*n/(d*x + c) - 6*(b*x + a)^2*B*b^2*c^3*d^3*f*g*n/(d*x + c)^2 - 3*B*a^3*b*d^4*f*g*n + 3*(b*x + a)*B*a^2*b*c*d^4*f*g*n/(d*x + c) + 12*(b*x + a)^2*B*a*b*c^2*d^4*f*g*n/(d*x + c)^2 + 3*(b*x + a)*B*a^3*d^5*f*g*n/(d*x + c) - 6*(b*x + a)^2*B*a^2*c*d^5*f*g*n/(d*x + c)^2 + B*b^4*c^4*g^2*n - B*a*b^3*c^3*d*g^2*n - 3*(b*x + a)*B*b^3*c^4*d*g^2*n/(d*x + c) + 3*(b*x + a)*B*a*b^2*c^3*d^2*g^2*n/(d*x + c) + 3*(b*x + a)^2*B*b^2*c^4*d^2*g^2*n/(d*x + c)^2 - B*a^3*b*c*d^3*g^2*n + 3*(b*x + a)*B*a^2*b*c^2*d^3*g^2*n/(d*x + c) - 6*(b*x + a)^2*B*a*b*c^3*d^3*g^2*n/(d*x + c)^2 + B*a^4*d^4*g^2*n - 3*(b*x + a)*B*a^3*c*d^4*g^2*n/(d*x + c) + 3*(b*x + a)^2*B*a^2*c^2*d^4*g^2*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/(b^3*d^3 - 3*(b*x + a)*b^2*d^4/(d*x + c) + 3*(b*x + a)^2*b*d^5/(d*x + c)^2 - (b*x + a)^3*d^6/(d*x + c)^3) - (6*B*b^6*c^3*d*f*g*n - 18*B*a*b^5*c^2*d^2*f*g*n - 12*(b*x + a)*B*b^5*c^3*d^2*f*g*n/(d*x + c) + 18*B*a^2*b^4*c*d^3*f*g*n + 36*(b*x + a)*B*a*b^4*c^2*d^3*f*g*n/(d*x + c) + 6*(b*x + a)^2*B*b^4*c^3*d^3*f*g*n/(d*x + c)^2 - 6*B*a^3*b^3*d^4*f*g*n - 36*(b*x + a)*B*a^2*b^3*c*d^4*f*g*n/(d*x + c) - 18*(b*x + a)^2*B*a*b^3*c^2*d^4*f*g*n/(d*x + c)^2 + 12*(b*x + a)*B*a^3*b^2*d^5*f*g*n/(d*x + c) + 18*(b*x + a)^2*B*a^2*b^2*c*d^5*f*g*n/(d*x + c)^2 - 6*(b*x + a)^2*B*a^3*b*d^6*f*g*n/(d*x + c)^2 - 3*B*b^6*c^4*g^2*n + 6*B*a*b^5*c^3*d*g^2*n + 7*(b*x + a)*B*b^5*c^4*d*g^2*n/(d*x + c) - 16*(b*x + a)*B*a*b^4*c^3*d^2*g^2*n/(d*x + c) - 4*(b*x + a)^2*B*b^4*c^4*d^2*g^2*n/(d*x + c)^2 - 6*B*a^3*b^3*c*d^3*g^2*n + 6*(b*x + a)*B*a^2*b^3*c^2*d^3*g^2*n/(d*x + c) + 10*(b*x + a)^2*B*a*b^3*c^3*d^3*g^2*n/(d*x + c)^2 + 3*B*a^4*b^2*d^4*g^2*n + 8*(b*x + a)*B*a^3*b^2*c*d^4*g^2*n/(d*x + c) - 6*(b*x + a)^2*B*a^2*b^2*c^2*d^4*g^2*n/(d*x + c)^2 - 5*(b*x + a)*B*a^4*b*d^5*g^2*n/(d*x + c) - 2*(b*x + a)^2*B*a^3*b*c*d^5*g^2*n/(d*x + c)^2 + 2*(b*x + a)^2*B*a^4*d^6*g^2*n/(d*x + c)^2 - 6*A*b^6*c^2*d^2*f^2 - 6*B*b^6*c^2*d^2*f^2 + 12*A*a*b^5*c*d^3*f^2 + 12*B*a*b^5*c*d^3*f^2 + 12*(b*x + a)*A*b^5*c^2*d^3*f^2/(d*x + c) + 12*(b*x + a)*B*b^5*c^2*d^3*f^2/(d*x + c) - 6*A*a^2*b^4*d^4*f^2 - 6*B*a^2*b^4*d^4*f^2 - 24*(b*x + a)*A*a*b^4*c*d^4*f^2/(d*x + c) - 24*(b*x + a)*B*a*b^4*c*d^4*f^2/(d*x + c) - 6*(b*x + a)^2*A*b^4*c^2*d^4*f^2/(d*x + c)^2 - 6*(b*x + a)^2*B*b^4*c^2*d^4*f^2/(d*x + c)^2 + 12*(b*x + a)*A*a^2*b^3*d^5*f^2/(d*x + c) + 12*(b*x + a)*B*a^2*b^3*d^5*f^2/(d*x + c) + 12*(b*x + a)^2*A*a*b^3*c*d^5*f^2/(d*x + c)^2 + 12*(b*x + a)^2*B*a*b^3*c*d^5*f^2/(d*x + c)^2 - 6*(b*x + a)^2*A*a^2*b^2*d^6*f^2/(d*x + c)^2 - 6*(b*x + a)^2*B*a^2*b^2*d^6*f^2/(d*x + c)^2 + 6*A*b^6*c^3*d*f*g + 6*B*b^6*c^3*d*f*g - 6*A*a*b^5*c^2*d^2*f*g - 6*B*a*b^5*c^2*d^2*f*g - 18*(b*x + a)*A*b^5*c^3*d^2*f*g/(d*x + c) - 18*(b*x + a)*B*b^5*c^3*d^2*f*g/(d*x + c) - 6*A*a^2*b^4*c*d^3*f*g - 6*B*a^2*b^4*c*d^3*f*g + 30*(b*x + a)*A*a*b^4*c^2*d^3*f*g/(d*x + c) + 30*(b*x + a)*B*a*b^4*c^2*d^3*f*g/(d*x + c) + 12*(b*x + a)^2*A*b^4*c^3*d^3*f*g/(d*x + c)^2 + 12*(b*x + a)^2*B*b^4*c^3*d^3*f*g/(d*x + c)^2 + 6*A*a^3*b^3*d^4*f*g + 6*B*a^3*b^3*d^4*f*g - 6*(b*x + a)*A*a^2*b^3*c*d^4*f*g/(d*x + c) - 6*(b*x + a)*B*a^2*b^3*c*d^4*f*g/(d*x + c) - 24*(b*x + a)^2*A*a*b^3*c^2*d^4*f*g/(d*x + c)^2 - 24*(b*x + a)^2*B*a*b^3*c^2*d^4*f*g/(d*x + c)^2 - 6*(b*x + a)*A*a^3*b^2*d^5*f*g/(d*x + c) - 6*(b*x + a)*B*a^3*b^2*d^5*f*g/(d*x + c) + 12*(b*x + a)^2*A*a^2*b^2*c*d^5*f*g/(d*x + c)^2 + 12*(b*x + a)^2*B*a^2*b^2*c*d^5*f*g/(d*x + c)^2 - 2*A*b^6*c^4*g^2 - 2*B*b^6*c^4*g^2 + 2*A*a*b^5*c^3*d*g^2 + 2*B*a*b^5*c^3*d*g^2 + 6*(b*x + a)*A*b^5*c^4*d*g^2/(d*x + c) + 6*(b*x + a)*B*b^5*c^4*d*g^2/(d*x + c) - 6*(b*x + a)*A*a*b^4*c^3*d^2*g^2/(d*x + c) - 6*(b*x + a)*B*a*b^4*c^3*d^2*g^2/(d*x + c) - 6*(b*x + a)^2*A*b^4*c^4*d^2*g^2/(d*x + c)^2 - 6*(b*x + a)^2*B*b^4*c^4*d^2*g^2/(d*x + c)^2 + 2*A*a^3*b^3*c*d^3*g^2 + 2*B*a^3*b^3*c*d^3*g^2 - 6*(b*x + a)*A*a^2*b^3*c^2*d^3*g^2/(d*x + c) - 6*(b*x + a)*B*a^2*b^3*c^2*d^3*g^2/(d*x + c) + 12*(b*x + a)^2*A*a*b^3*c^3*d^3*g^2/(d*x + c)^2 + 12*(b*x + a)^2*B*a*b^3*c^3*d^3*g^2/(d*x + c)^2 - 2*A*a^4*b^2*d^4*g^2 - 2*B*a^4*b^2*d^4*g^2 + 6*(b*x + a)*A*a^3*b^2*c*d^4*g^2/(d*x + c) + 6*(b*x + a)*B*a^3*b^2*c*d^4*g^2/(d*x + c) - 6*(b*x + a)^2*A*a^2*b^2*c^2*d^4*g^2/(d*x + c)^2 - 6*(b*x + a)^2*B*a^2*b^2*c^2*d^4*g^2/(d*x + c)^2)/(b^5*d^3 - 3*(b*x + a)*b^4*d^4/(d*x + c) + 3*(b*x + a)^2*b^3*d^5/(d*x + c)^2 - (b*x + a)^3*b^2*d^6/(d*x + c)^3) + 2*(3*B*b^4*c^2*d^2*f^2*n - 6*B*a*b^3*c*d^3*f^2*n + 3*B*a^2*b^2*d^4*f^2*n - 3*B*b^4*c^3*d*f*g*n + 3*B*a*b^3*c^2*d^2*f*g*n + 3*B*a^2*b^2*c*d^3*f*g*n - 3*B*a^3*b*d^4*f*g*n + B*b^4*c^4*g^2*n - B*a*b^3*c^3*d*g^2*n - B*a^3*b*c*d^3*g^2*n + B*a^4*d^4*g^2*n)*log(b - (b*x + a)*d/(d*x + c))/(b^3*d^3) - 2*(3*B*b^4*c^2*d^2*f^2*n - 6*B*a*b^3*c*d^3*f^2*n + 3*B*a^2*b^2*d^4*f^2*n - 3*B*b^4*c^3*d*f*g*n + 3*B*a*b^3*c^2*d^2*f*g*n + 3*B*a^2*b^2*c*d^3*f*g*n - 3*B*a^3*b*d^4*f*g*n + B*b^4*c^4*g^2*n - B*a*b^3*c^3*d*g^2*n - B*a^3*b*c*d^3*g^2*n + B*a^4*d^4*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
60,1,1189,0,2.373795," ","integrate((g*x+f)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{{\left(2 \, B b^{3} c^{2} d f n - 4 \, B a b^{2} c d^{2} f n - \frac{2 \, {\left(b x + a\right)} B b^{2} c^{2} d^{2} f n}{d x + c} + 2 \, B a^{2} b d^{3} f n + \frac{4 \, {\left(b x + a\right)} B a b c d^{3} f n}{d x + c} - \frac{2 \, {\left(b x + a\right)} B a^{2} d^{4} f n}{d x + c} - B b^{3} c^{3} g n + B a b^{2} c^{2} d g n + \frac{2 \, {\left(b x + a\right)} B b^{2} c^{3} d g n}{d x + c} + B a^{2} b c d^{2} g n - \frac{4 \, {\left(b x + a\right)} B a b c^{2} d^{2} g n}{d x + c} - B a^{3} d^{3} g n + \frac{2 \, {\left(b x + a\right)} B a^{2} c d^{3} g n}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} d^{2} - \frac{2 \, {\left(b x + a\right)} b d^{3}}{d x + c} + \frac{{\left(b x + a\right)}^{2} d^{4}}{{\left(d x + c\right)}^{2}}} - \frac{B b^{4} c^{3} g n - 3 \, B a b^{3} c^{2} d g n - \frac{{\left(b x + a\right)} B b^{3} c^{3} d g n}{d x + c} + 3 \, B a^{2} b^{2} c d^{2} g n + \frac{3 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{2} g n}{d x + c} - B a^{3} b d^{3} g n - \frac{3 \, {\left(b x + a\right)} B a^{2} b c d^{3} g n}{d x + c} + \frac{{\left(b x + a\right)} B a^{3} d^{4} g n}{d x + c} - 2 \, A b^{4} c^{2} d f - 2 \, B b^{4} c^{2} d f + 4 \, A a b^{3} c d^{2} f + 4 \, B a b^{3} c d^{2} f + \frac{2 \, {\left(b x + a\right)} A b^{3} c^{2} d^{2} f}{d x + c} + \frac{2 \, {\left(b x + a\right)} B b^{3} c^{2} d^{2} f}{d x + c} - 2 \, A a^{2} b^{2} d^{3} f - 2 \, B a^{2} b^{2} d^{3} f - \frac{4 \, {\left(b x + a\right)} A a b^{2} c d^{3} f}{d x + c} - \frac{4 \, {\left(b x + a\right)} B a b^{2} c d^{3} f}{d x + c} + \frac{2 \, {\left(b x + a\right)} A a^{2} b d^{4} f}{d x + c} + \frac{2 \, {\left(b x + a\right)} B a^{2} b d^{4} f}{d x + c} + A b^{4} c^{3} g + B b^{4} c^{3} g - A a b^{3} c^{2} d g - B a b^{3} c^{2} d g - \frac{2 \, {\left(b x + a\right)} A b^{3} c^{3} d g}{d x + c} - \frac{2 \, {\left(b x + a\right)} B b^{3} c^{3} d g}{d x + c} - A a^{2} b^{2} c d^{2} g - B a^{2} b^{2} c d^{2} g + \frac{4 \, {\left(b x + a\right)} A a b^{2} c^{2} d^{2} g}{d x + c} + \frac{4 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{2} g}{d x + c} + A a^{3} b d^{3} g + B a^{3} b d^{3} g - \frac{2 \, {\left(b x + a\right)} A a^{2} b c d^{3} g}{d x + c} - \frac{2 \, {\left(b x + a\right)} B a^{2} b c d^{3} g}{d x + c}}{b^{3} d^{2} - \frac{2 \, {\left(b x + a\right)} b^{2} d^{3}}{d x + c} + \frac{{\left(b x + a\right)}^{2} b d^{4}}{{\left(d x + c\right)}^{2}}} + \frac{{\left(2 \, B b^{3} c^{2} d f n - 4 \, B a b^{2} c d^{2} f n + 2 \, B a^{2} b d^{3} f n - B b^{3} c^{3} g n + B a b^{2} c^{2} d g n + B a^{2} b c d^{2} g n - B a^{3} d^{3} g n\right)} \log\left(-b + \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b^{2} d^{2}} - \frac{{\left(2 \, B b^{3} c^{2} d f n - 4 \, B a b^{2} c d^{2} f n + 2 \, B a^{2} b d^{3} f n - B b^{3} c^{3} g n + B a b^{2} c^{2} d g n + B a^{2} b c d^{2} g n - B a^{3} d^{3} g 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,"1/2*((2*B*b^3*c^2*d*f*n - 4*B*a*b^2*c*d^2*f*n - 2*(b*x + a)*B*b^2*c^2*d^2*f*n/(d*x + c) + 2*B*a^2*b*d^3*f*n + 4*(b*x + a)*B*a*b*c*d^3*f*n/(d*x + c) - 2*(b*x + a)*B*a^2*d^4*f*n/(d*x + c) - B*b^3*c^3*g*n + B*a*b^2*c^2*d*g*n + 2*(b*x + a)*B*b^2*c^3*d*g*n/(d*x + c) + B*a^2*b*c*d^2*g*n - 4*(b*x + a)*B*a*b*c^2*d^2*g*n/(d*x + c) - B*a^3*d^3*g*n + 2*(b*x + a)*B*a^2*c*d^3*g*n/(d*x + c))*log((b*x + a)/(d*x + c))/(b^2*d^2 - 2*(b*x + a)*b*d^3/(d*x + c) + (b*x + a)^2*d^4/(d*x + c)^2) - (B*b^4*c^3*g*n - 3*B*a*b^3*c^2*d*g*n - (b*x + a)*B*b^3*c^3*d*g*n/(d*x + c) + 3*B*a^2*b^2*c*d^2*g*n + 3*(b*x + a)*B*a*b^2*c^2*d^2*g*n/(d*x + c) - B*a^3*b*d^3*g*n - 3*(b*x + a)*B*a^2*b*c*d^3*g*n/(d*x + c) + (b*x + a)*B*a^3*d^4*g*n/(d*x + c) - 2*A*b^4*c^2*d*f - 2*B*b^4*c^2*d*f + 4*A*a*b^3*c*d^2*f + 4*B*a*b^3*c*d^2*f + 2*(b*x + a)*A*b^3*c^2*d^2*f/(d*x + c) + 2*(b*x + a)*B*b^3*c^2*d^2*f/(d*x + c) - 2*A*a^2*b^2*d^3*f - 2*B*a^2*b^2*d^3*f - 4*(b*x + a)*A*a*b^2*c*d^3*f/(d*x + c) - 4*(b*x + a)*B*a*b^2*c*d^3*f/(d*x + c) + 2*(b*x + a)*A*a^2*b*d^4*f/(d*x + c) + 2*(b*x + a)*B*a^2*b*d^4*f/(d*x + c) + A*b^4*c^3*g + B*b^4*c^3*g - A*a*b^3*c^2*d*g - B*a*b^3*c^2*d*g - 2*(b*x + a)*A*b^3*c^3*d*g/(d*x + c) - 2*(b*x + a)*B*b^3*c^3*d*g/(d*x + c) - A*a^2*b^2*c*d^2*g - B*a^2*b^2*c*d^2*g + 4*(b*x + a)*A*a*b^2*c^2*d^2*g/(d*x + c) + 4*(b*x + a)*B*a*b^2*c^2*d^2*g/(d*x + c) + A*a^3*b*d^3*g + B*a^3*b*d^3*g - 2*(b*x + a)*A*a^2*b*c*d^3*g/(d*x + c) - 2*(b*x + a)*B*a^2*b*c*d^3*g/(d*x + c))/(b^3*d^2 - 2*(b*x + a)*b^2*d^3/(d*x + c) + (b*x + a)^2*b*d^4/(d*x + c)^2) + (2*B*b^3*c^2*d*f*n - 4*B*a*b^2*c*d^2*f*n + 2*B*a^2*b*d^3*f*n - B*b^3*c^3*g*n + B*a*b^2*c^2*d*g*n + B*a^2*b*c*d^2*g*n - B*a^3*d^3*g*n)*log(-b + (b*x + a)*d/(d*x + c))/(b^2*d^2) - (2*B*b^3*c^2*d*f*n - 4*B*a*b^2*c*d^2*f*n + 2*B*a^2*b*d^3*f*n - B*b^3*c^3*g*n + B*a*b^2*c^2*d*g*n + B*a^2*b*c*d^2*g*n - B*a^3*d^3*g*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
61,1,237,0,0.942186," ","integrate(A+B*log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""giac"")","B {\left(\frac{{\left(b^{2} c^{2} n - 2 \, a b c d n + a^{2} d^{2} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b d - \frac{{\left(b x + a\right)} d^{2}}{d x + c}} + \frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{b d - \frac{{\left(b x + a\right)} d^{2}}{d x + c}} + \frac{{\left(b^{2} c^{2} n - 2 \, a b c d n + a^{2} d^{2} n\right)} \log\left(b - \frac{{\left(b x + a\right)} d}{d x + c}\right)}{b d} - \frac{{\left(b^{2} c^{2} n - 2 \, a b c d n + a^{2} d^{2} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b d}\right)} {\left(\frac{b c}{{\left(b c - a d\right)}^{2}} - \frac{a d}{{\left(b c - a d\right)}^{2}}\right)} + A x"," ",0,"B*((b^2*c^2*n - 2*a*b*c*d*n + a^2*d^2*n)*log((b*x + a)/(d*x + c))/(b*d - (b*x + a)*d^2/(d*x + c)) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(b*d - (b*x + a)*d^2/(d*x + c)) + (b^2*c^2*n - 2*a*b*c*d*n + a^2*d^2*n)*log(b - (b*x + a)*d/(d*x + c))/(b*d) - (b^2*c^2*n - 2*a*b*c*d*n + a^2*d^2*n)*log((b*x + a)/(d*x + c))/(b*d))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2) + A*x","B",0
62,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(g*x+f),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
63,1,455,0,4.103647," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(g*x+f)^2,x, algorithm=""giac"")","{\left(\frac{{\left(B b^{2} c^{2} n - 2 \, B a b c d n + B a^{2} d^{2} n\right)} \log\left(-b f + \frac{{\left(b x + a\right)} d f}{d x + c} + a g - \frac{{\left(b x + a\right)} c g}{d x + c}\right)}{b d f^{2} - b c f g - a d f g + a c g^{2}} + \frac{{\left(B b^{2} c^{2} n - 2 \, B a b c d n + B a^{2} d^{2} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b d f^{2} - \frac{{\left(b x + a\right)} d^{2} f^{2}}{d x + c} - b c f g - a d f g + \frac{2 \, {\left(b x + a\right)} c d f g}{d x + c} + a c g^{2} - \frac{{\left(b x + a\right)} c^{2} g^{2}}{d x + c}} - \frac{{\left(B b^{2} c^{2} n - 2 \, B a b c d n + B a^{2} d^{2} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b d f^{2} - b c f g - a d f g + a c g^{2}} + \frac{A b^{2} c^{2} + B b^{2} c^{2} - 2 \, A a b c d - 2 \, B a b c d + A a^{2} d^{2} + B a^{2} d^{2}}{b d f^{2} - \frac{{\left(b x + a\right)} d^{2} f^{2}}{d x + c} - b c f g - a d f g + \frac{2 \, {\left(b x + a\right)} c d f g}{d x + c} + a c g^{2} - \frac{{\left(b x + a\right)} c^{2} g^{2}}{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*b^2*c^2*n - 2*B*a*b*c*d*n + B*a^2*d^2*n)*log(-b*f + (b*x + a)*d*f/(d*x + c) + a*g - (b*x + a)*c*g/(d*x + c))/(b*d*f^2 - b*c*f*g - a*d*f*g + a*c*g^2) + (B*b^2*c^2*n - 2*B*a*b*c*d*n + B*a^2*d^2*n)*log((b*x + a)/(d*x + c))/(b*d*f^2 - (b*x + a)*d^2*f^2/(d*x + c) - b*c*f*g - a*d*f*g + 2*(b*x + a)*c*d*f*g/(d*x + c) + a*c*g^2 - (b*x + a)*c^2*g^2/(d*x + c)) - (B*b^2*c^2*n - 2*B*a*b*c*d*n + B*a^2*d^2*n)*log((b*x + a)/(d*x + c))/(b*d*f^2 - b*c*f*g - a*d*f*g + a*c*g^2) + (A*b^2*c^2 + B*b^2*c^2 - 2*A*a*b*c*d - 2*B*a*b*c*d + A*a^2*d^2 + B*a^2*d^2)/(b*d*f^2 - (b*x + a)*d^2*f^2/(d*x + c) - b*c*f*g - a*d*f*g + 2*(b*x + a)*c*d*f*g/(d*x + c) + a*c*g^2 - (b*x + a)*c^2*g^2/(d*x + c)))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
64,1,2952,0,6.804922," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(g*x+f)^3,x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{{\left(2 \, B b^{3} c^{2} d f n - 4 \, B a b^{2} c d^{2} f n + 2 \, B a^{2} b d^{3} f n - B b^{3} c^{3} g n + B a b^{2} c^{2} d g n + B a^{2} b c d^{2} g n - B a^{3} d^{3} g n\right)} \log\left(-b f + \frac{{\left(b x + a\right)} d f}{d x + c} + a g - \frac{{\left(b x + a\right)} c g}{d x + c}\right)}{b^{2} d^{2} f^{4} - 2 \, b^{2} c d f^{3} g - 2 \, a b d^{2} f^{3} g + b^{2} c^{2} f^{2} g^{2} + 4 \, a b c d f^{2} g^{2} + a^{2} d^{2} f^{2} g^{2} - 2 \, a b c^{2} f g^{3} - 2 \, a^{2} c d f g^{3} + a^{2} c^{2} g^{4}} + \frac{{\left(2 \, B b^{3} c^{2} d f n - 4 \, B a b^{2} c d^{2} f n - \frac{2 \, {\left(b x + a\right)} B b^{2} c^{2} d^{2} f n}{d x + c} + 2 \, B a^{2} b d^{3} f n + \frac{4 \, {\left(b x + a\right)} B a b c d^{3} f n}{d x + c} - \frac{2 \, {\left(b x + a\right)} B a^{2} d^{4} f n}{d x + c} - B b^{3} c^{3} g n + B a b^{2} c^{2} d g n + \frac{2 \, {\left(b x + a\right)} B b^{2} c^{3} d g n}{d x + c} + B a^{2} b c d^{2} g n - \frac{4 \, {\left(b x + a\right)} B a b c^{2} d^{2} g n}{d x + c} - B a^{3} d^{3} g n + \frac{2 \, {\left(b x + a\right)} B a^{2} c d^{3} g n}{d x + c}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} d^{2} f^{4} - \frac{2 \, {\left(b x + a\right)} b d^{3} f^{4}}{d x + c} + \frac{{\left(b x + a\right)}^{2} d^{4} f^{4}}{{\left(d x + c\right)}^{2}} - 2 \, b^{2} c d f^{3} g - 2 \, a b d^{2} f^{3} g + \frac{6 \, {\left(b x + a\right)} b c d^{2} f^{3} g}{d x + c} + \frac{2 \, {\left(b x + a\right)} a d^{3} f^{3} g}{d x + c} - \frac{4 \, {\left(b x + a\right)}^{2} c d^{3} f^{3} g}{{\left(d x + c\right)}^{2}} + b^{2} c^{2} f^{2} g^{2} + 4 \, a b c d f^{2} g^{2} - \frac{6 \, {\left(b x + a\right)} b c^{2} d f^{2} g^{2}}{d x + c} + a^{2} d^{2} f^{2} g^{2} - \frac{6 \, {\left(b x + a\right)} a c d^{2} f^{2} g^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} c^{2} d^{2} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} - 2 \, a b c^{2} f g^{3} + \frac{2 \, {\left(b x + a\right)} b c^{3} f g^{3}}{d x + c} - 2 \, a^{2} c d f g^{3} + \frac{6 \, {\left(b x + a\right)} a c^{2} d f g^{3}}{d x + c} - \frac{4 \, {\left(b x + a\right)}^{2} c^{3} d f g^{3}}{{\left(d x + c\right)}^{2}} + a^{2} c^{2} g^{4} - \frac{2 \, {\left(b x + a\right)} a c^{3} g^{4}}{d x + c} + \frac{{\left(b x + a\right)}^{2} c^{4} g^{4}}{{\left(d x + c\right)}^{2}}} - \frac{{\left(2 \, B b^{3} c^{2} d f n - 4 \, B a b^{2} c d^{2} f n + 2 \, B a^{2} b d^{3} f n - B b^{3} c^{3} g n + B a b^{2} c^{2} d g n + B a^{2} b c d^{2} g n - B a^{3} d^{3} g n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{2} d^{2} f^{4} - 2 \, b^{2} c d f^{3} g - 2 \, a b d^{2} f^{3} g + b^{2} c^{2} f^{2} g^{2} + 4 \, a b c d f^{2} g^{2} + a^{2} d^{2} f^{2} g^{2} - 2 \, a b c^{2} f g^{3} - 2 \, a^{2} c d f g^{3} + a^{2} c^{2} g^{4}} + \frac{B b^{4} c^{3} f g n - 3 \, B a b^{3} c^{2} d f g n - \frac{{\left(b x + a\right)} B b^{3} c^{3} d f g n}{d x + c} + 3 \, B a^{2} b^{2} c d^{2} f g n + \frac{3 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{2} f g n}{d x + c} - B a^{3} b d^{3} f g n - \frac{3 \, {\left(b x + a\right)} B a^{2} b c d^{3} f g n}{d x + c} + \frac{{\left(b x + a\right)} B a^{3} d^{4} f g n}{d x + c} - B a b^{3} c^{3} g^{2} n + \frac{{\left(b x + a\right)} B b^{3} c^{4} g^{2} n}{d x + c} + 3 \, B a^{2} b^{2} c^{2} d g^{2} n - \frac{3 \, {\left(b x + a\right)} B a b^{2} c^{3} d g^{2} n}{d x + c} - 3 \, B a^{3} b c d^{2} g^{2} n + \frac{3 \, {\left(b x + a\right)} B a^{2} b c^{2} d^{2} g^{2} n}{d x + c} + B a^{4} d^{3} g^{2} n - \frac{{\left(b x + a\right)} B a^{3} c d^{3} g^{2} n}{d x + c} + 2 \, A b^{4} c^{2} d f^{2} + 2 \, B b^{4} c^{2} d f^{2} - 4 \, A a b^{3} c d^{2} f^{2} - 4 \, B a b^{3} c d^{2} f^{2} - \frac{2 \, {\left(b x + a\right)} A b^{3} c^{2} d^{2} f^{2}}{d x + c} - \frac{2 \, {\left(b x + a\right)} B b^{3} c^{2} d^{2} f^{2}}{d x + c} + 2 \, A a^{2} b^{2} d^{3} f^{2} + 2 \, B a^{2} b^{2} d^{3} f^{2} + \frac{4 \, {\left(b x + a\right)} A a b^{2} c d^{3} f^{2}}{d x + c} + \frac{4 \, {\left(b x + a\right)} B a b^{2} c d^{3} f^{2}}{d x + c} - \frac{2 \, {\left(b x + a\right)} A a^{2} b d^{4} f^{2}}{d x + c} - \frac{2 \, {\left(b x + a\right)} B a^{2} b d^{4} f^{2}}{d x + c} - A b^{4} c^{3} f g - B b^{4} c^{3} f g - A a b^{3} c^{2} d f g - B a b^{3} c^{2} d f g + \frac{2 \, {\left(b x + a\right)} A b^{3} c^{3} d f g}{d x + c} + \frac{2 \, {\left(b x + a\right)} B b^{3} c^{3} d f g}{d x + c} + 5 \, A a^{2} b^{2} c d^{2} f g + 5 \, B a^{2} b^{2} c d^{2} f g - \frac{2 \, {\left(b x + a\right)} A a b^{2} c^{2} d^{2} f g}{d x + c} - \frac{2 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{2} f g}{d x + c} - 3 \, A a^{3} b d^{3} f g - 3 \, B a^{3} b d^{3} f g - \frac{2 \, {\left(b x + a\right)} A a^{2} b c d^{3} f g}{d x + c} - \frac{2 \, {\left(b x + a\right)} B a^{2} b c d^{3} f g}{d x + c} + \frac{2 \, {\left(b x + a\right)} A a^{3} d^{4} f g}{d x + c} + \frac{2 \, {\left(b x + a\right)} B a^{3} d^{4} f g}{d x + c} + A a b^{3} c^{3} g^{2} + B a b^{3} c^{3} g^{2} - A a^{2} b^{2} c^{2} d g^{2} - B a^{2} b^{2} c^{2} d g^{2} - \frac{2 \, {\left(b x + a\right)} A a b^{2} c^{3} d g^{2}}{d x + c} - \frac{2 \, {\left(b x + a\right)} B a b^{2} c^{3} d g^{2}}{d x + c} - A a^{3} b c d^{2} g^{2} - B a^{3} b c d^{2} g^{2} + \frac{4 \, {\left(b x + a\right)} A a^{2} b c^{2} d^{2} g^{2}}{d x + c} + \frac{4 \, {\left(b x + a\right)} B a^{2} b c^{2} d^{2} g^{2}}{d x + c} + A a^{4} d^{3} g^{2} + B a^{4} d^{3} g^{2} - \frac{2 \, {\left(b x + a\right)} A a^{3} c d^{3} g^{2}}{d x + c} - \frac{2 \, {\left(b x + a\right)} B a^{3} c d^{3} g^{2}}{d x + c}}{b^{3} d^{2} f^{5} - \frac{2 \, {\left(b x + a\right)} b^{2} d^{3} f^{5}}{d x + c} + \frac{{\left(b x + a\right)}^{2} b d^{4} f^{5}}{{\left(d x + c\right)}^{2}} - 2 \, b^{3} c d f^{4} g - 3 \, a b^{2} d^{2} f^{4} g + \frac{6 \, {\left(b x + a\right)} b^{2} c d^{2} f^{4} g}{d x + c} + \frac{4 \, {\left(b x + a\right)} a b d^{3} f^{4} g}{d x + c} - \frac{4 \, {\left(b x + a\right)}^{2} b c d^{3} f^{4} g}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{2} a d^{4} f^{4} g}{{\left(d x + c\right)}^{2}} + b^{3} c^{2} f^{3} g^{2} + 6 \, a b^{2} c d f^{3} g^{2} - \frac{6 \, {\left(b x + a\right)} b^{2} c^{2} d f^{3} g^{2}}{d x + c} + 3 \, a^{2} b d^{2} f^{3} g^{2} - \frac{12 \, {\left(b x + a\right)} a b c d^{2} f^{3} g^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} b c^{2} d^{2} f^{3} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x + a\right)} a^{2} d^{3} f^{3} g^{2}}{d x + c} + \frac{4 \, {\left(b x + a\right)}^{2} a c d^{3} f^{3} g^{2}}{{\left(d x + c\right)}^{2}} - 3 \, a b^{2} c^{2} f^{2} g^{3} + \frac{2 \, {\left(b x + a\right)} b^{2} c^{3} f^{2} g^{3}}{d x + c} - 6 \, a^{2} b c d f^{2} g^{3} + \frac{12 \, {\left(b x + a\right)} a b c^{2} d f^{2} g^{3}}{d x + c} - \frac{4 \, {\left(b x + a\right)}^{2} b c^{3} d f^{2} g^{3}}{{\left(d x + c\right)}^{2}} - a^{3} d^{2} f^{2} g^{3} + \frac{6 \, {\left(b x + a\right)} a^{2} c d^{2} f^{2} g^{3}}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} a c^{2} d^{2} f^{2} g^{3}}{{\left(d x + c\right)}^{2}} + 3 \, a^{2} b c^{2} f g^{4} - \frac{4 \, {\left(b x + a\right)} a b c^{3} f g^{4}}{d x + c} + \frac{{\left(b x + a\right)}^{2} b c^{4} f g^{4}}{{\left(d x + c\right)}^{2}} + 2 \, a^{3} c d f g^{4} - \frac{6 \, {\left(b x + a\right)} a^{2} c^{2} d f g^{4}}{d x + c} + \frac{4 \, {\left(b x + a\right)}^{2} a c^{3} d f g^{4}}{{\left(d x + c\right)}^{2}} - a^{3} c^{2} g^{5} + \frac{2 \, {\left(b x + a\right)} a^{2} c^{3} g^{5}}{d x + c} - \frac{{\left(b x + a\right)}^{2} a c^{4} g^{5}}{{\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,"1/2*((2*B*b^3*c^2*d*f*n - 4*B*a*b^2*c*d^2*f*n + 2*B*a^2*b*d^3*f*n - B*b^3*c^3*g*n + B*a*b^2*c^2*d*g*n + B*a^2*b*c*d^2*g*n - B*a^3*d^3*g*n)*log(-b*f + (b*x + a)*d*f/(d*x + c) + a*g - (b*x + a)*c*g/(d*x + c))/(b^2*d^2*f^4 - 2*b^2*c*d*f^3*g - 2*a*b*d^2*f^3*g + b^2*c^2*f^2*g^2 + 4*a*b*c*d*f^2*g^2 + a^2*d^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a^2*c*d*f*g^3 + a^2*c^2*g^4) + (2*B*b^3*c^2*d*f*n - 4*B*a*b^2*c*d^2*f*n - 2*(b*x + a)*B*b^2*c^2*d^2*f*n/(d*x + c) + 2*B*a^2*b*d^3*f*n + 4*(b*x + a)*B*a*b*c*d^3*f*n/(d*x + c) - 2*(b*x + a)*B*a^2*d^4*f*n/(d*x + c) - B*b^3*c^3*g*n + B*a*b^2*c^2*d*g*n + 2*(b*x + a)*B*b^2*c^3*d*g*n/(d*x + c) + B*a^2*b*c*d^2*g*n - 4*(b*x + a)*B*a*b*c^2*d^2*g*n/(d*x + c) - B*a^3*d^3*g*n + 2*(b*x + a)*B*a^2*c*d^3*g*n/(d*x + c))*log((b*x + a)/(d*x + c))/(b^2*d^2*f^4 - 2*(b*x + a)*b*d^3*f^4/(d*x + c) + (b*x + a)^2*d^4*f^4/(d*x + c)^2 - 2*b^2*c*d*f^3*g - 2*a*b*d^2*f^3*g + 6*(b*x + a)*b*c*d^2*f^3*g/(d*x + c) + 2*(b*x + a)*a*d^3*f^3*g/(d*x + c) - 4*(b*x + a)^2*c*d^3*f^3*g/(d*x + c)^2 + b^2*c^2*f^2*g^2 + 4*a*b*c*d*f^2*g^2 - 6*(b*x + a)*b*c^2*d*f^2*g^2/(d*x + c) + a^2*d^2*f^2*g^2 - 6*(b*x + a)*a*c*d^2*f^2*g^2/(d*x + c) + 6*(b*x + a)^2*c^2*d^2*f^2*g^2/(d*x + c)^2 - 2*a*b*c^2*f*g^3 + 2*(b*x + a)*b*c^3*f*g^3/(d*x + c) - 2*a^2*c*d*f*g^3 + 6*(b*x + a)*a*c^2*d*f*g^3/(d*x + c) - 4*(b*x + a)^2*c^3*d*f*g^3/(d*x + c)^2 + a^2*c^2*g^4 - 2*(b*x + a)*a*c^3*g^4/(d*x + c) + (b*x + a)^2*c^4*g^4/(d*x + c)^2) - (2*B*b^3*c^2*d*f*n - 4*B*a*b^2*c*d^2*f*n + 2*B*a^2*b*d^3*f*n - B*b^3*c^3*g*n + B*a*b^2*c^2*d*g*n + B*a^2*b*c*d^2*g*n - B*a^3*d^3*g*n)*log((b*x + a)/(d*x + c))/(b^2*d^2*f^4 - 2*b^2*c*d*f^3*g - 2*a*b*d^2*f^3*g + b^2*c^2*f^2*g^2 + 4*a*b*c*d*f^2*g^2 + a^2*d^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a^2*c*d*f*g^3 + a^2*c^2*g^4) + (B*b^4*c^3*f*g*n - 3*B*a*b^3*c^2*d*f*g*n - (b*x + a)*B*b^3*c^3*d*f*g*n/(d*x + c) + 3*B*a^2*b^2*c*d^2*f*g*n + 3*(b*x + a)*B*a*b^2*c^2*d^2*f*g*n/(d*x + c) - B*a^3*b*d^3*f*g*n - 3*(b*x + a)*B*a^2*b*c*d^3*f*g*n/(d*x + c) + (b*x + a)*B*a^3*d^4*f*g*n/(d*x + c) - B*a*b^3*c^3*g^2*n + (b*x + a)*B*b^3*c^4*g^2*n/(d*x + c) + 3*B*a^2*b^2*c^2*d*g^2*n - 3*(b*x + a)*B*a*b^2*c^3*d*g^2*n/(d*x + c) - 3*B*a^3*b*c*d^2*g^2*n + 3*(b*x + a)*B*a^2*b*c^2*d^2*g^2*n/(d*x + c) + B*a^4*d^3*g^2*n - (b*x + a)*B*a^3*c*d^3*g^2*n/(d*x + c) + 2*A*b^4*c^2*d*f^2 + 2*B*b^4*c^2*d*f^2 - 4*A*a*b^3*c*d^2*f^2 - 4*B*a*b^3*c*d^2*f^2 - 2*(b*x + a)*A*b^3*c^2*d^2*f^2/(d*x + c) - 2*(b*x + a)*B*b^3*c^2*d^2*f^2/(d*x + c) + 2*A*a^2*b^2*d^3*f^2 + 2*B*a^2*b^2*d^3*f^2 + 4*(b*x + a)*A*a*b^2*c*d^3*f^2/(d*x + c) + 4*(b*x + a)*B*a*b^2*c*d^3*f^2/(d*x + c) - 2*(b*x + a)*A*a^2*b*d^4*f^2/(d*x + c) - 2*(b*x + a)*B*a^2*b*d^4*f^2/(d*x + c) - A*b^4*c^3*f*g - B*b^4*c^3*f*g - A*a*b^3*c^2*d*f*g - B*a*b^3*c^2*d*f*g + 2*(b*x + a)*A*b^3*c^3*d*f*g/(d*x + c) + 2*(b*x + a)*B*b^3*c^3*d*f*g/(d*x + c) + 5*A*a^2*b^2*c*d^2*f*g + 5*B*a^2*b^2*c*d^2*f*g - 2*(b*x + a)*A*a*b^2*c^2*d^2*f*g/(d*x + c) - 2*(b*x + a)*B*a*b^2*c^2*d^2*f*g/(d*x + c) - 3*A*a^3*b*d^3*f*g - 3*B*a^3*b*d^3*f*g - 2*(b*x + a)*A*a^2*b*c*d^3*f*g/(d*x + c) - 2*(b*x + a)*B*a^2*b*c*d^3*f*g/(d*x + c) + 2*(b*x + a)*A*a^3*d^4*f*g/(d*x + c) + 2*(b*x + a)*B*a^3*d^4*f*g/(d*x + c) + A*a*b^3*c^3*g^2 + B*a*b^3*c^3*g^2 - A*a^2*b^2*c^2*d*g^2 - B*a^2*b^2*c^2*d*g^2 - 2*(b*x + a)*A*a*b^2*c^3*d*g^2/(d*x + c) - 2*(b*x + a)*B*a*b^2*c^3*d*g^2/(d*x + c) - A*a^3*b*c*d^2*g^2 - B*a^3*b*c*d^2*g^2 + 4*(b*x + a)*A*a^2*b*c^2*d^2*g^2/(d*x + c) + 4*(b*x + a)*B*a^2*b*c^2*d^2*g^2/(d*x + c) + A*a^4*d^3*g^2 + B*a^4*d^3*g^2 - 2*(b*x + a)*A*a^3*c*d^3*g^2/(d*x + c) - 2*(b*x + a)*B*a^3*c*d^3*g^2/(d*x + c))/(b^3*d^2*f^5 - 2*(b*x + a)*b^2*d^3*f^5/(d*x + c) + (b*x + a)^2*b*d^4*f^5/(d*x + c)^2 - 2*b^3*c*d*f^4*g - 3*a*b^2*d^2*f^4*g + 6*(b*x + a)*b^2*c*d^2*f^4*g/(d*x + c) + 4*(b*x + a)*a*b*d^3*f^4*g/(d*x + c) - 4*(b*x + a)^2*b*c*d^3*f^4*g/(d*x + c)^2 - (b*x + a)^2*a*d^4*f^4*g/(d*x + c)^2 + b^3*c^2*f^3*g^2 + 6*a*b^2*c*d*f^3*g^2 - 6*(b*x + a)*b^2*c^2*d*f^3*g^2/(d*x + c) + 3*a^2*b*d^2*f^3*g^2 - 12*(b*x + a)*a*b*c*d^2*f^3*g^2/(d*x + c) + 6*(b*x + a)^2*b*c^2*d^2*f^3*g^2/(d*x + c)^2 - 2*(b*x + a)*a^2*d^3*f^3*g^2/(d*x + c) + 4*(b*x + a)^2*a*c*d^3*f^3*g^2/(d*x + c)^2 - 3*a*b^2*c^2*f^2*g^3 + 2*(b*x + a)*b^2*c^3*f^2*g^3/(d*x + c) - 6*a^2*b*c*d*f^2*g^3 + 12*(b*x + a)*a*b*c^2*d*f^2*g^3/(d*x + c) - 4*(b*x + a)^2*b*c^3*d*f^2*g^3/(d*x + c)^2 - a^3*d^2*f^2*g^3 + 6*(b*x + a)*a^2*c*d^2*f^2*g^3/(d*x + c) - 6*(b*x + a)^2*a*c^2*d^2*f^2*g^3/(d*x + c)^2 + 3*a^2*b*c^2*f*g^4 - 4*(b*x + a)*a*b*c^3*f*g^4/(d*x + c) + (b*x + a)^2*b*c^4*f*g^4/(d*x + c)^2 + 2*a^3*c*d*f*g^4 - 6*(b*x + a)*a^2*c^2*d*f*g^4/(d*x + c) + 4*(b*x + a)^2*a*c^3*d*f*g^4/(d*x + c)^2 - a^3*c^2*g^5 + 2*(b*x + a)*a^2*c^3*g^5/(d*x + c) - (b*x + a)^2*a*c^4*g^5/(d*x + c)^2))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
65,1,9570,0,9.250066," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(g*x+f)^4,x, algorithm=""giac"")","\frac{1}{6} \, {\left(\frac{2 \, {\left(3 \, B b^{4} c^{2} d^{2} f^{2} n - 6 \, B a b^{3} c d^{3} f^{2} n + 3 \, B a^{2} b^{2} d^{4} f^{2} n - 3 \, B b^{4} c^{3} d f g n + 3 \, B a b^{3} c^{2} d^{2} f g n + 3 \, B a^{2} b^{2} c d^{3} f g n - 3 \, B a^{3} b d^{4} f g n + B b^{4} c^{4} g^{2} n - B a b^{3} c^{3} d g^{2} n - B a^{3} b c d^{3} g^{2} n + B a^{4} d^{4} g^{2} n\right)} \log\left(-b f + \frac{{\left(b x + a\right)} d f}{d x + c} + a g - \frac{{\left(b x + a\right)} c g}{d x + c}\right)}{b^{3} d^{3} f^{6} - 3 \, b^{3} c d^{2} f^{5} g - 3 \, a b^{2} d^{3} f^{5} g + 3 \, b^{3} c^{2} d f^{4} g^{2} + 9 \, a b^{2} c d^{2} f^{4} g^{2} + 3 \, a^{2} b d^{3} f^{4} g^{2} - b^{3} c^{3} f^{3} g^{3} - 9 \, a b^{2} c^{2} d f^{3} g^{3} - 9 \, a^{2} b c d^{2} f^{3} g^{3} - a^{3} d^{3} f^{3} g^{3} + 3 \, a b^{2} c^{3} f^{2} g^{4} + 9 \, a^{2} b c^{2} d f^{2} g^{4} + 3 \, a^{3} c d^{2} f^{2} g^{4} - 3 \, a^{2} b c^{3} f g^{5} - 3 \, a^{3} c^{2} d f g^{5} + a^{3} c^{3} g^{6}} + \frac{2 \, {\left(3 \, B b^{4} c^{2} d^{2} f^{2} n - 6 \, B a b^{3} c d^{3} f^{2} n - \frac{6 \, {\left(b x + a\right)} B b^{3} c^{2} d^{3} f^{2} n}{d x + c} + 3 \, B a^{2} b^{2} d^{4} f^{2} n + \frac{12 \, {\left(b x + a\right)} B a b^{2} c d^{4} f^{2} n}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} B b^{2} c^{2} d^{4} f^{2} n}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)} B a^{2} b d^{5} f^{2} n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B a b c d^{5} f^{2} n}{{\left(d x + c\right)}^{2}} + \frac{3 \, {\left(b x + a\right)}^{2} B a^{2} d^{6} f^{2} n}{{\left(d x + c\right)}^{2}} - 3 \, B b^{4} c^{3} d f g n + 3 \, B a b^{3} c^{2} d^{2} f g n + \frac{9 \, {\left(b x + a\right)} B b^{3} c^{3} d^{2} f g n}{d x + c} + 3 \, B a^{2} b^{2} c d^{3} f g n - \frac{15 \, {\left(b x + a\right)} B a b^{2} c^{2} d^{3} f g n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B b^{2} c^{3} d^{3} f g n}{{\left(d x + c\right)}^{2}} - 3 \, B a^{3} b d^{4} f g n + \frac{3 \, {\left(b x + a\right)} B a^{2} b c d^{4} f g n}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} B a b c^{2} d^{4} f g n}{{\left(d x + c\right)}^{2}} + \frac{3 \, {\left(b x + a\right)} B a^{3} d^{5} f g n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} c d^{5} f g n}{{\left(d x + c\right)}^{2}} + B b^{4} c^{4} g^{2} n - B a b^{3} c^{3} d g^{2} n - \frac{3 \, {\left(b x + a\right)} B b^{3} c^{4} d g^{2} n}{d x + c} + \frac{3 \, {\left(b x + a\right)} B a b^{2} c^{3} d^{2} g^{2} n}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} B b^{2} c^{4} d^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - B a^{3} b c d^{3} g^{2} n + \frac{3 \, {\left(b x + a\right)} B a^{2} b c^{2} d^{3} g^{2} n}{d x + c} - \frac{6 \, {\left(b x + a\right)}^{2} B a b c^{3} d^{3} g^{2} n}{{\left(d x + c\right)}^{2}} + B a^{4} d^{4} g^{2} n - \frac{3 \, {\left(b x + a\right)} B a^{3} c d^{4} g^{2} n}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} B a^{2} c^{2} d^{4} g^{2} n}{{\left(d x + c\right)}^{2}}\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{3} d^{3} f^{6} - \frac{3 \, {\left(b x + a\right)} b^{2} d^{4} f^{6}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} b d^{5} f^{6}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} d^{6} f^{6}}{{\left(d x + c\right)}^{3}} - 3 \, b^{3} c d^{2} f^{5} g - 3 \, a b^{2} d^{3} f^{5} g + \frac{12 \, {\left(b x + a\right)} b^{2} c d^{3} f^{5} g}{d x + c} + \frac{6 \, {\left(b x + a\right)} a b d^{4} f^{5} g}{d x + c} - \frac{15 \, {\left(b x + a\right)}^{2} b c d^{4} f^{5} g}{{\left(d x + c\right)}^{2}} - \frac{3 \, {\left(b x + a\right)}^{2} a d^{5} f^{5} g}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{3} c d^{5} f^{5} g}{{\left(d x + c\right)}^{3}} + 3 \, b^{3} c^{2} d f^{4} g^{2} + 9 \, a b^{2} c d^{2} f^{4} g^{2} - \frac{18 \, {\left(b x + a\right)} b^{2} c^{2} d^{2} f^{4} g^{2}}{d x + c} + 3 \, a^{2} b d^{3} f^{4} g^{2} - \frac{24 \, {\left(b x + a\right)} a b c d^{3} f^{4} g^{2}}{d x + c} + \frac{30 \, {\left(b x + a\right)}^{2} b c^{2} d^{3} f^{4} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{3 \, {\left(b x + a\right)} a^{2} d^{4} f^{4} g^{2}}{d x + c} + \frac{15 \, {\left(b x + a\right)}^{2} a c d^{4} f^{4} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{15 \, {\left(b x + a\right)}^{3} c^{2} d^{4} f^{4} g^{2}}{{\left(d x + c\right)}^{3}} - b^{3} c^{3} f^{3} g^{3} - 9 \, a b^{2} c^{2} d f^{3} g^{3} + \frac{12 \, {\left(b x + a\right)} b^{2} c^{3} d f^{3} g^{3}}{d x + c} - 9 \, a^{2} b c d^{2} f^{3} g^{3} + \frac{36 \, {\left(b x + a\right)} a b c^{2} d^{2} f^{3} g^{3}}{d x + c} - \frac{30 \, {\left(b x + a\right)}^{2} b c^{3} d^{2} f^{3} g^{3}}{{\left(d x + c\right)}^{2}} - a^{3} d^{3} f^{3} g^{3} + \frac{12 \, {\left(b x + a\right)} a^{2} c d^{3} f^{3} g^{3}}{d x + c} - \frac{30 \, {\left(b x + a\right)}^{2} a c^{2} d^{3} f^{3} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x + a\right)}^{3} c^{3} d^{3} f^{3} g^{3}}{{\left(d x + c\right)}^{3}} + 3 \, a b^{2} c^{3} f^{2} g^{4} - \frac{3 \, {\left(b x + a\right)} b^{2} c^{4} f^{2} g^{4}}{d x + c} + 9 \, a^{2} b c^{2} d f^{2} g^{4} - \frac{24 \, {\left(b x + a\right)} a b c^{3} d f^{2} g^{4}}{d x + c} + \frac{15 \, {\left(b x + a\right)}^{2} b c^{4} d f^{2} g^{4}}{{\left(d x + c\right)}^{2}} + 3 \, a^{3} c d^{2} f^{2} g^{4} - \frac{18 \, {\left(b x + a\right)} a^{2} c^{2} d^{2} f^{2} g^{4}}{d x + c} + \frac{30 \, {\left(b x + a\right)}^{2} a c^{3} d^{2} f^{2} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{15 \, {\left(b x + a\right)}^{3} c^{4} d^{2} f^{2} g^{4}}{{\left(d x + c\right)}^{3}} - 3 \, a^{2} b c^{3} f g^{5} + \frac{6 \, {\left(b x + a\right)} a b c^{4} f g^{5}}{d x + c} - \frac{3 \, {\left(b x + a\right)}^{2} b c^{5} f g^{5}}{{\left(d x + c\right)}^{2}} - 3 \, a^{3} c^{2} d f g^{5} + \frac{12 \, {\left(b x + a\right)} a^{2} c^{3} d f g^{5}}{d x + c} - \frac{15 \, {\left(b x + a\right)}^{2} a c^{4} d f g^{5}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{3} c^{5} d f g^{5}}{{\left(d x + c\right)}^{3}} + a^{3} c^{3} g^{6} - \frac{3 \, {\left(b x + a\right)} a^{2} c^{4} g^{6}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} a c^{5} g^{6}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} c^{6} g^{6}}{{\left(d x + c\right)}^{3}}} - \frac{2 \, {\left(3 \, B b^{4} c^{2} d^{2} f^{2} n - 6 \, B a b^{3} c d^{3} f^{2} n + 3 \, B a^{2} b^{2} d^{4} f^{2} n - 3 \, B b^{4} c^{3} d f g n + 3 \, B a b^{3} c^{2} d^{2} f g n + 3 \, B a^{2} b^{2} c d^{3} f g n - 3 \, B a^{3} b d^{4} f g n + B b^{4} c^{4} g^{2} n - B a b^{3} c^{3} d g^{2} n - B a^{3} b c d^{3} g^{2} n + B a^{4} d^{4} g^{2} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{b^{3} d^{3} f^{6} - 3 \, b^{3} c d^{2} f^{5} g - 3 \, a b^{2} d^{3} f^{5} g + 3 \, b^{3} c^{2} d f^{4} g^{2} + 9 \, a b^{2} c d^{2} f^{4} g^{2} + 3 \, a^{2} b d^{3} f^{4} g^{2} - b^{3} c^{3} f^{3} g^{3} - 9 \, a b^{2} c^{2} d f^{3} g^{3} - 9 \, a^{2} b c d^{2} f^{3} g^{3} - a^{3} d^{3} f^{3} g^{3} + 3 \, a b^{2} c^{3} f^{2} g^{4} + 9 \, a^{2} b c^{2} d f^{2} g^{4} + 3 \, a^{3} c d^{2} f^{2} g^{4} - 3 \, a^{2} b c^{3} f g^{5} - 3 \, a^{3} c^{2} d f g^{5} + a^{3} c^{3} g^{6}} + \frac{6 \, B b^{6} c^{3} d f^{3} g n - 18 \, B a b^{5} c^{2} d^{2} f^{3} g n - \frac{12 \, {\left(b x + a\right)} B b^{5} c^{3} d^{2} f^{3} g n}{d x + c} + 18 \, B a^{2} b^{4} c d^{3} f^{3} g n + \frac{36 \, {\left(b x + a\right)} B a b^{4} c^{2} d^{3} f^{3} g n}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B b^{4} c^{3} d^{3} f^{3} g n}{{\left(d x + c\right)}^{2}} - 6 \, B a^{3} b^{3} d^{4} f^{3} g n - \frac{36 \, {\left(b x + a\right)} B a^{2} b^{3} c d^{4} f^{3} g n}{d x + c} - \frac{18 \, {\left(b x + a\right)}^{2} B a b^{3} c^{2} d^{4} f^{3} g n}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)} B a^{3} b^{2} d^{5} f^{3} g n}{d x + c} + \frac{18 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c d^{5} f^{3} g n}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)}^{2} B a^{3} b d^{6} f^{3} g n}{{\left(d x + c\right)}^{2}} - 3 \, B b^{6} c^{4} f^{2} g^{2} n - 6 \, B a b^{5} c^{3} d f^{2} g^{2} n + \frac{17 \, {\left(b x + a\right)} B b^{5} c^{4} d f^{2} g^{2} n}{d x + c} + 36 \, B a^{2} b^{4} c^{2} d^{2} f^{2} g^{2} n - \frac{32 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} f^{2} g^{2} n}{d x + c} - \frac{14 \, {\left(b x + a\right)}^{2} B b^{4} c^{4} d^{2} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - 42 \, B a^{3} b^{3} c d^{3} f^{2} g^{2} n - \frac{6 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} f^{2} g^{2} n}{d x + c} + \frac{38 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{3} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} + 15 \, B a^{4} b^{2} d^{4} f^{2} g^{2} n + \frac{40 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} f^{2} g^{2} n}{d x + c} - \frac{30 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{4} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} - \frac{19 \, {\left(b x + a\right)} B a^{4} b d^{5} f^{2} g^{2} n}{d x + c} + \frac{2 \, {\left(b x + a\right)}^{2} B a^{3} b c d^{5} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x + a\right)}^{2} B a^{4} d^{6} f^{2} g^{2} n}{{\left(d x + c\right)}^{2}} + 6 \, B a b^{5} c^{4} f g^{3} n - \frac{5 \, {\left(b x + a\right)} B b^{5} c^{5} f g^{3} n}{d x + c} - 6 \, B a^{2} b^{4} c^{3} d f g^{3} n - \frac{9 \, {\left(b x + a\right)} B a b^{4} c^{4} d f g^{3} n}{d x + c} + \frac{10 \, {\left(b x + a\right)}^{2} B b^{4} c^{5} d f g^{3} n}{{\left(d x + c\right)}^{2}} - 18 \, B a^{3} b^{3} c^{2} d^{2} f g^{3} n + \frac{50 \, {\left(b x + a\right)} B a^{2} b^{3} c^{3} d^{2} f g^{3} n}{d x + c} - \frac{22 \, {\left(b x + a\right)}^{2} B a b^{3} c^{4} d^{2} f g^{3} n}{{\left(d x + c\right)}^{2}} + 30 \, B a^{4} b^{2} c d^{3} f g^{3} n - \frac{46 \, {\left(b x + a\right)} B a^{3} b^{2} c^{2} d^{3} f g^{3} n}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{3} d^{3} f g^{3} n}{{\left(d x + c\right)}^{2}} - 12 \, B a^{5} b d^{4} f g^{3} n + \frac{3 \, {\left(b x + a\right)} B a^{4} b c d^{4} f g^{3} n}{d x + c} + \frac{14 \, {\left(b x + a\right)}^{2} B a^{3} b c^{2} d^{4} f g^{3} n}{{\left(d x + c\right)}^{2}} + \frac{7 \, {\left(b x + a\right)} B a^{5} d^{5} f g^{3} n}{d x + c} - \frac{8 \, {\left(b x + a\right)}^{2} B a^{4} c d^{5} f g^{3} n}{{\left(d x + c\right)}^{2}} - 3 \, B a^{2} b^{4} c^{4} g^{4} n + \frac{5 \, {\left(b x + a\right)} B a b^{4} c^{5} g^{4} n}{d x + c} - \frac{2 \, {\left(b x + a\right)}^{2} B b^{4} c^{6} g^{4} n}{{\left(d x + c\right)}^{2}} + 6 \, B a^{3} b^{3} c^{3} d g^{4} n - \frac{8 \, {\left(b x + a\right)} B a^{2} b^{3} c^{4} d g^{4} n}{d x + c} + \frac{2 \, {\left(b x + a\right)}^{2} B a b^{3} c^{5} d g^{4} n}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x + a\right)} B a^{3} b^{2} c^{3} d^{2} g^{4} n}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{4} d^{2} g^{4} n}{{\left(d x + c\right)}^{2}} - 6 \, B a^{5} b c d^{3} g^{4} n + \frac{16 \, {\left(b x + a\right)} B a^{4} b c^{2} d^{3} g^{4} n}{d x + c} - \frac{10 \, {\left(b x + a\right)}^{2} B a^{3} b c^{3} d^{3} g^{4} n}{{\left(d x + c\right)}^{2}} + 3 \, B a^{6} d^{4} g^{4} n - \frac{7 \, {\left(b x + a\right)} B a^{5} c d^{4} g^{4} n}{d x + c} + \frac{4 \, {\left(b x + a\right)}^{2} B a^{4} c^{2} d^{4} g^{4} n}{{\left(d x + c\right)}^{2}} + 6 \, A b^{6} c^{2} d^{2} f^{4} + 6 \, B b^{6} c^{2} d^{2} f^{4} - 12 \, A a b^{5} c d^{3} f^{4} - 12 \, B a b^{5} c d^{3} f^{4} - \frac{12 \, {\left(b x + a\right)} A b^{5} c^{2} d^{3} f^{4}}{d x + c} - \frac{12 \, {\left(b x + a\right)} B b^{5} c^{2} d^{3} f^{4}}{d x + c} + 6 \, A a^{2} b^{4} d^{4} f^{4} + 6 \, B a^{2} b^{4} d^{4} f^{4} + \frac{24 \, {\left(b x + a\right)} A a b^{4} c d^{4} f^{4}}{d x + c} + \frac{24 \, {\left(b x + a\right)} B a b^{4} c d^{4} f^{4}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} A b^{4} c^{2} d^{4} f^{4}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} B b^{4} c^{2} d^{4} f^{4}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)} A a^{2} b^{3} d^{5} f^{4}}{d x + c} - \frac{12 \, {\left(b x + a\right)} B a^{2} b^{3} d^{5} f^{4}}{d x + c} - \frac{12 \, {\left(b x + a\right)}^{2} A a b^{3} c d^{5} f^{4}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{2} B a b^{3} c d^{5} f^{4}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} A a^{2} b^{2} d^{6} f^{4}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} d^{6} f^{4}}{{\left(d x + c\right)}^{2}} - 6 \, A b^{6} c^{3} d f^{3} g - 6 \, B b^{6} c^{3} d f^{3} g - 6 \, A a b^{5} c^{2} d^{2} f^{3} g - 6 \, B a b^{5} c^{2} d^{2} f^{3} g + \frac{18 \, {\left(b x + a\right)} A b^{5} c^{3} d^{2} f^{3} g}{d x + c} + \frac{18 \, {\left(b x + a\right)} B b^{5} c^{3} d^{2} f^{3} g}{d x + c} + 30 \, A a^{2} b^{4} c d^{3} f^{3} g + 30 \, B a^{2} b^{4} c d^{3} f^{3} g - \frac{6 \, {\left(b x + a\right)} A a b^{4} c^{2} d^{3} f^{3} g}{d x + c} - \frac{6 \, {\left(b x + a\right)} B a b^{4} c^{2} d^{3} f^{3} g}{d x + c} - \frac{12 \, {\left(b x + a\right)}^{2} A b^{4} c^{3} d^{3} f^{3} g}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{2} B b^{4} c^{3} d^{3} f^{3} g}{{\left(d x + c\right)}^{2}} - 18 \, A a^{3} b^{3} d^{4} f^{3} g - 18 \, B a^{3} b^{3} d^{4} f^{3} g - \frac{42 \, {\left(b x + a\right)} A a^{2} b^{3} c d^{4} f^{3} g}{d x + c} - \frac{42 \, {\left(b x + a\right)} B a^{2} b^{3} c d^{4} f^{3} g}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A a b^{3} c^{2} d^{4} f^{3} g}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B a b^{3} c^{2} d^{4} f^{3} g}{{\left(d x + c\right)}^{2}} + \frac{30 \, {\left(b x + a\right)} A a^{3} b^{2} d^{5} f^{3} g}{d x + c} + \frac{30 \, {\left(b x + a\right)} B a^{3} b^{2} d^{5} f^{3} g}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A a^{2} b^{2} c d^{5} f^{3} g}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c d^{5} f^{3} g}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{2} A a^{3} b d^{6} f^{3} g}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{2} B a^{3} b d^{6} f^{3} g}{{\left(d x + c\right)}^{2}} + 2 \, A b^{6} c^{4} f^{2} g^{2} + 2 \, B b^{6} c^{4} f^{2} g^{2} + 10 \, A a b^{5} c^{3} d f^{2} g^{2} + 10 \, B a b^{5} c^{3} d f^{2} g^{2} - \frac{6 \, {\left(b x + a\right)} A b^{5} c^{4} d f^{2} g^{2}}{d x + c} - \frac{6 \, {\left(b x + a\right)} B b^{5} c^{4} d f^{2} g^{2}}{d x + c} - 6 \, A a^{2} b^{4} c^{2} d^{2} f^{2} g^{2} - 6 \, B a^{2} b^{4} c^{2} d^{2} f^{2} g^{2} - \frac{30 \, {\left(b x + a\right)} A a b^{4} c^{3} d^{2} f^{2} g^{2}}{d x + c} - \frac{30 \, {\left(b x + a\right)} B a b^{4} c^{3} d^{2} f^{2} g^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} A b^{4} c^{4} d^{2} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} B b^{4} c^{4} d^{2} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} - 26 \, A a^{3} b^{3} c d^{3} f^{2} g^{2} - 26 \, B a^{3} b^{3} c d^{3} f^{2} g^{2} + \frac{54 \, {\left(b x + a\right)} A a^{2} b^{3} c^{2} d^{3} f^{2} g^{2}}{d x + c} + \frac{54 \, {\left(b x + a\right)} B a^{2} b^{3} c^{2} d^{3} f^{2} g^{2}}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A a b^{3} c^{3} d^{3} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B a b^{3} c^{3} d^{3} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + 20 \, A a^{4} b^{2} d^{4} f^{2} g^{2} + 20 \, B a^{4} b^{2} d^{4} f^{2} g^{2} + \frac{6 \, {\left(b x + a\right)} A a^{3} b^{2} c d^{4} f^{2} g^{2}}{d x + c} + \frac{6 \, {\left(b x + a\right)} B a^{3} b^{2} c d^{4} f^{2} g^{2}}{d x + c} - \frac{36 \, {\left(b x + a\right)}^{2} A a^{2} b^{2} c^{2} d^{4} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{2} d^{4} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x + a\right)} A a^{4} b d^{5} f^{2} g^{2}}{d x + c} - \frac{24 \, {\left(b x + a\right)} B a^{4} b d^{5} f^{2} g^{2}}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A a^{3} b c d^{5} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B a^{3} b c d^{5} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} A a^{4} d^{6} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} B a^{4} d^{6} f^{2} g^{2}}{{\left(d x + c\right)}^{2}} - 4 \, A a b^{5} c^{4} f g^{3} - 4 \, B a b^{5} c^{4} f g^{3} - 2 \, A a^{2} b^{4} c^{3} d f g^{3} - 2 \, B a^{2} b^{4} c^{3} d f g^{3} + \frac{12 \, {\left(b x + a\right)} A a b^{4} c^{4} d f g^{3}}{d x + c} + \frac{12 \, {\left(b x + a\right)} B a b^{4} c^{4} d f g^{3}}{d x + c} + 6 \, A a^{3} b^{3} c^{2} d^{2} f g^{3} + 6 \, B a^{3} b^{3} c^{2} d^{2} f g^{3} + \frac{6 \, {\left(b x + a\right)} A a^{2} b^{3} c^{3} d^{2} f g^{3}}{d x + c} + \frac{6 \, {\left(b x + a\right)} B a^{2} b^{3} c^{3} d^{2} f g^{3}}{d x + c} - \frac{12 \, {\left(b x + a\right)}^{2} A a b^{3} c^{4} d^{2} f g^{3}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{2} B a b^{3} c^{4} d^{2} f g^{3}}{{\left(d x + c\right)}^{2}} + 10 \, A a^{4} b^{2} c d^{3} f g^{3} + 10 \, B a^{4} b^{2} c d^{3} f g^{3} - \frac{42 \, {\left(b x + a\right)} A a^{3} b^{2} c^{2} d^{3} f g^{3}}{d x + c} - \frac{42 \, {\left(b x + a\right)} B a^{3} b^{2} c^{2} d^{3} f g^{3}}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A a^{2} b^{2} c^{3} d^{3} f g^{3}}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{3} d^{3} f g^{3}}{{\left(d x + c\right)}^{2}} - 10 \, A a^{5} b d^{4} f g^{3} - 10 \, B a^{5} b d^{4} f g^{3} + \frac{18 \, {\left(b x + a\right)} A a^{4} b c d^{4} f g^{3}}{d x + c} + \frac{18 \, {\left(b x + a\right)} B a^{4} b c d^{4} f g^{3}}{d x + c} + \frac{12 \, {\left(b x + a\right)}^{2} A a^{3} b c^{2} d^{4} f g^{3}}{{\left(d x + c\right)}^{2}} + \frac{12 \, {\left(b x + a\right)}^{2} B a^{3} b c^{2} d^{4} f g^{3}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)} A a^{5} d^{5} f g^{3}}{d x + c} + \frac{6 \, {\left(b x + a\right)} B a^{5} d^{5} f g^{3}}{d x + c} - \frac{12 \, {\left(b x + a\right)}^{2} A a^{4} c d^{5} f g^{3}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{2} B a^{4} c d^{5} f g^{3}}{{\left(d x + c\right)}^{2}} + 2 \, A a^{2} b^{4} c^{4} g^{4} + 2 \, B a^{2} b^{4} c^{4} g^{4} - 2 \, A a^{3} b^{3} c^{3} d g^{4} - 2 \, B a^{3} b^{3} c^{3} d g^{4} - \frac{6 \, {\left(b x + a\right)} A a^{2} b^{3} c^{4} d g^{4}}{d x + c} - \frac{6 \, {\left(b x + a\right)} B a^{2} b^{3} c^{4} d g^{4}}{d x + c} + \frac{6 \, {\left(b x + a\right)} A a^{3} b^{2} c^{3} d^{2} g^{4}}{d x + c} + \frac{6 \, {\left(b x + a\right)} B a^{3} b^{2} c^{3} d^{2} g^{4}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} A a^{2} b^{2} c^{4} d^{2} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} B a^{2} b^{2} c^{4} d^{2} g^{4}}{{\left(d x + c\right)}^{2}} - 2 \, A a^{5} b c d^{3} g^{4} - 2 \, B a^{5} b c d^{3} g^{4} + \frac{6 \, {\left(b x + a\right)} A a^{4} b c^{2} d^{3} g^{4}}{d x + c} + \frac{6 \, {\left(b x + a\right)} B a^{4} b c^{2} d^{3} g^{4}}{d x + c} - \frac{12 \, {\left(b x + a\right)}^{2} A a^{3} b c^{3} d^{3} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{2} B a^{3} b c^{3} d^{3} g^{4}}{{\left(d x + c\right)}^{2}} + 2 \, A a^{6} d^{4} g^{4} + 2 \, B a^{6} d^{4} g^{4} - \frac{6 \, {\left(b x + a\right)} A a^{5} c d^{4} g^{4}}{d x + c} - \frac{6 \, {\left(b x + a\right)} B a^{5} c d^{4} g^{4}}{d x + c} + \frac{6 \, {\left(b x + a\right)}^{2} A a^{4} c^{2} d^{4} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{2} B a^{4} c^{2} d^{4} g^{4}}{{\left(d x + c\right)}^{2}}}{b^{5} d^{3} f^{8} - \frac{3 \, {\left(b x + a\right)} b^{4} d^{4} f^{8}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} b^{3} d^{5} f^{8}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} b^{2} d^{6} f^{8}}{{\left(d x + c\right)}^{3}} - 3 \, b^{5} c d^{2} f^{7} g - 5 \, a b^{4} d^{3} f^{7} g + \frac{12 \, {\left(b x + a\right)} b^{4} c d^{3} f^{7} g}{d x + c} + \frac{12 \, {\left(b x + a\right)} a b^{3} d^{4} f^{7} g}{d x + c} - \frac{15 \, {\left(b x + a\right)}^{2} b^{3} c d^{4} f^{7} g}{{\left(d x + c\right)}^{2}} - \frac{9 \, {\left(b x + a\right)}^{2} a b^{2} d^{5} f^{7} g}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{3} b^{2} c d^{5} f^{7} g}{{\left(d x + c\right)}^{3}} + \frac{2 \, {\left(b x + a\right)}^{3} a b d^{6} f^{7} g}{{\left(d x + c\right)}^{3}} + 3 \, b^{5} c^{2} d f^{6} g^{2} + 15 \, a b^{4} c d^{2} f^{6} g^{2} - \frac{18 \, {\left(b x + a\right)} b^{4} c^{2} d^{2} f^{6} g^{2}}{d x + c} + 10 \, a^{2} b^{3} d^{3} f^{6} g^{2} - \frac{48 \, {\left(b x + a\right)} a b^{3} c d^{3} f^{6} g^{2}}{d x + c} + \frac{30 \, {\left(b x + a\right)}^{2} b^{3} c^{2} d^{3} f^{6} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{18 \, {\left(b x + a\right)} a^{2} b^{2} d^{4} f^{6} g^{2}}{d x + c} + \frac{45 \, {\left(b x + a\right)}^{2} a b^{2} c d^{4} f^{6} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{15 \, {\left(b x + a\right)}^{3} b^{2} c^{2} d^{4} f^{6} g^{2}}{{\left(d x + c\right)}^{3}} + \frac{9 \, {\left(b x + a\right)}^{2} a^{2} b d^{5} f^{6} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{3} a b c d^{5} f^{6} g^{2}}{{\left(d x + c\right)}^{3}} - \frac{{\left(b x + a\right)}^{3} a^{2} d^{6} f^{6} g^{2}}{{\left(d x + c\right)}^{3}} - b^{5} c^{3} f^{5} g^{3} - 15 \, a b^{4} c^{2} d f^{5} g^{3} + \frac{12 \, {\left(b x + a\right)} b^{4} c^{3} d f^{5} g^{3}}{d x + c} - 30 \, a^{2} b^{3} c d^{2} f^{5} g^{3} + \frac{72 \, {\left(b x + a\right)} a b^{3} c^{2} d^{2} f^{5} g^{3}}{d x + c} - \frac{30 \, {\left(b x + a\right)}^{2} b^{3} c^{3} d^{2} f^{5} g^{3}}{{\left(d x + c\right)}^{2}} - 10 \, a^{3} b^{2} d^{3} f^{5} g^{3} + \frac{72 \, {\left(b x + a\right)} a^{2} b^{2} c d^{3} f^{5} g^{3}}{d x + c} - \frac{90 \, {\left(b x + a\right)}^{2} a b^{2} c^{2} d^{3} f^{5} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x + a\right)}^{3} b^{2} c^{3} d^{3} f^{5} g^{3}}{{\left(d x + c\right)}^{3}} + \frac{12 \, {\left(b x + a\right)} a^{3} b d^{4} f^{5} g^{3}}{d x + c} - \frac{45 \, {\left(b x + a\right)}^{2} a^{2} b c d^{4} f^{5} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{30 \, {\left(b x + a\right)}^{3} a b c^{2} d^{4} f^{5} g^{3}}{{\left(d x + c\right)}^{3}} - \frac{3 \, {\left(b x + a\right)}^{2} a^{3} d^{5} f^{5} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{3} a^{2} c d^{5} f^{5} g^{3}}{{\left(d x + c\right)}^{3}} + 5 \, a b^{4} c^{3} f^{4} g^{4} - \frac{3 \, {\left(b x + a\right)} b^{4} c^{4} f^{4} g^{4}}{d x + c} + 30 \, a^{2} b^{3} c^{2} d f^{4} g^{4} - \frac{48 \, {\left(b x + a\right)} a b^{3} c^{3} d f^{4} g^{4}}{d x + c} + \frac{15 \, {\left(b x + a\right)}^{2} b^{3} c^{4} d f^{4} g^{4}}{{\left(d x + c\right)}^{2}} + 30 \, a^{3} b^{2} c d^{2} f^{4} g^{4} - \frac{108 \, {\left(b x + a\right)} a^{2} b^{2} c^{2} d^{2} f^{4} g^{4}}{d x + c} + \frac{90 \, {\left(b x + a\right)}^{2} a b^{2} c^{3} d^{2} f^{4} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{15 \, {\left(b x + a\right)}^{3} b^{2} c^{4} d^{2} f^{4} g^{4}}{{\left(d x + c\right)}^{3}} + 5 \, a^{4} b d^{3} f^{4} g^{4} - \frac{48 \, {\left(b x + a\right)} a^{3} b c d^{3} f^{4} g^{4}}{d x + c} + \frac{90 \, {\left(b x + a\right)}^{2} a^{2} b c^{2} d^{3} f^{4} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{40 \, {\left(b x + a\right)}^{3} a b c^{3} d^{3} f^{4} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{3 \, {\left(b x + a\right)} a^{4} d^{4} f^{4} g^{4}}{d x + c} + \frac{15 \, {\left(b x + a\right)}^{2} a^{3} c d^{4} f^{4} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{15 \, {\left(b x + a\right)}^{3} a^{2} c^{2} d^{4} f^{4} g^{4}}{{\left(d x + c\right)}^{3}} - 10 \, a^{2} b^{3} c^{3} f^{3} g^{5} + \frac{12 \, {\left(b x + a\right)} a b^{3} c^{4} f^{3} g^{5}}{d x + c} - \frac{3 \, {\left(b x + a\right)}^{2} b^{3} c^{5} f^{3} g^{5}}{{\left(d x + c\right)}^{2}} - 30 \, a^{3} b^{2} c^{2} d f^{3} g^{5} + \frac{72 \, {\left(b x + a\right)} a^{2} b^{2} c^{3} d f^{3} g^{5}}{d x + c} - \frac{45 \, {\left(b x + a\right)}^{2} a b^{2} c^{4} d f^{3} g^{5}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{3} b^{2} c^{5} d f^{3} g^{5}}{{\left(d x + c\right)}^{3}} - 15 \, a^{4} b c d^{2} f^{3} g^{5} + \frac{72 \, {\left(b x + a\right)} a^{3} b c^{2} d^{2} f^{3} g^{5}}{d x + c} - \frac{90 \, {\left(b x + a\right)}^{2} a^{2} b c^{3} d^{2} f^{3} g^{5}}{{\left(d x + c\right)}^{2}} + \frac{30 \, {\left(b x + a\right)}^{3} a b c^{4} d^{2} f^{3} g^{5}}{{\left(d x + c\right)}^{3}} - a^{5} d^{3} f^{3} g^{5} + \frac{12 \, {\left(b x + a\right)} a^{4} c d^{3} f^{3} g^{5}}{d x + c} - \frac{30 \, {\left(b x + a\right)}^{2} a^{3} c^{2} d^{3} f^{3} g^{5}}{{\left(d x + c\right)}^{2}} + \frac{20 \, {\left(b x + a\right)}^{3} a^{2} c^{3} d^{3} f^{3} g^{5}}{{\left(d x + c\right)}^{3}} + 10 \, a^{3} b^{2} c^{3} f^{2} g^{6} - \frac{18 \, {\left(b x + a\right)} a^{2} b^{2} c^{4} f^{2} g^{6}}{d x + c} + \frac{9 \, {\left(b x + a\right)}^{2} a b^{2} c^{5} f^{2} g^{6}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} b^{2} c^{6} f^{2} g^{6}}{{\left(d x + c\right)}^{3}} + 15 \, a^{4} b c^{2} d f^{2} g^{6} - \frac{48 \, {\left(b x + a\right)} a^{3} b c^{3} d f^{2} g^{6}}{d x + c} + \frac{45 \, {\left(b x + a\right)}^{2} a^{2} b c^{4} d f^{2} g^{6}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x + a\right)}^{3} a b c^{5} d f^{2} g^{6}}{{\left(d x + c\right)}^{3}} + 3 \, a^{5} c d^{2} f^{2} g^{6} - \frac{18 \, {\left(b x + a\right)} a^{4} c^{2} d^{2} f^{2} g^{6}}{d x + c} + \frac{30 \, {\left(b x + a\right)}^{2} a^{3} c^{3} d^{2} f^{2} g^{6}}{{\left(d x + c\right)}^{2}} - \frac{15 \, {\left(b x + a\right)}^{3} a^{2} c^{4} d^{2} f^{2} g^{6}}{{\left(d x + c\right)}^{3}} - 5 \, a^{4} b c^{3} f g^{7} + \frac{12 \, {\left(b x + a\right)} a^{3} b c^{4} f g^{7}}{d x + c} - \frac{9 \, {\left(b x + a\right)}^{2} a^{2} b c^{5} f g^{7}}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x + a\right)}^{3} a b c^{6} f g^{7}}{{\left(d x + c\right)}^{3}} - 3 \, a^{5} c^{2} d f g^{7} + \frac{12 \, {\left(b x + a\right)} a^{4} c^{3} d f g^{7}}{d x + c} - \frac{15 \, {\left(b x + a\right)}^{2} a^{3} c^{4} d f g^{7}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x + a\right)}^{3} a^{2} c^{5} d f g^{7}}{{\left(d x + c\right)}^{3}} + a^{5} c^{3} g^{8} - \frac{3 \, {\left(b x + a\right)} a^{4} c^{4} g^{8}}{d x + c} + \frac{3 \, {\left(b x + a\right)}^{2} a^{3} c^{5} g^{8}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x + a\right)}^{3} a^{2} c^{6} g^{8}}{{\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,"1/6*(2*(3*B*b^4*c^2*d^2*f^2*n - 6*B*a*b^3*c*d^3*f^2*n + 3*B*a^2*b^2*d^4*f^2*n - 3*B*b^4*c^3*d*f*g*n + 3*B*a*b^3*c^2*d^2*f*g*n + 3*B*a^2*b^2*c*d^3*f*g*n - 3*B*a^3*b*d^4*f*g*n + B*b^4*c^4*g^2*n - B*a*b^3*c^3*d*g^2*n - B*a^3*b*c*d^3*g^2*n + B*a^4*d^4*g^2*n)*log(-b*f + (b*x + a)*d*f/(d*x + c) + a*g - (b*x + a)*c*g/(d*x + c))/(b^3*d^3*f^6 - 3*b^3*c*d^2*f^5*g - 3*a*b^2*d^3*f^5*g + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 + 3*a^2*b*d^3*f^4*g^2 - b^3*c^3*f^3*g^3 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 - a^3*d^3*f^3*g^3 + 3*a*b^2*c^3*f^2*g^4 + 9*a^2*b*c^2*d*f^2*g^4 + 3*a^3*c*d^2*f^2*g^4 - 3*a^2*b*c^3*f*g^5 - 3*a^3*c^2*d*f*g^5 + a^3*c^3*g^6) + 2*(3*B*b^4*c^2*d^2*f^2*n - 6*B*a*b^3*c*d^3*f^2*n - 6*(b*x + a)*B*b^3*c^2*d^3*f^2*n/(d*x + c) + 3*B*a^2*b^2*d^4*f^2*n + 12*(b*x + a)*B*a*b^2*c*d^4*f^2*n/(d*x + c) + 3*(b*x + a)^2*B*b^2*c^2*d^4*f^2*n/(d*x + c)^2 - 6*(b*x + a)*B*a^2*b*d^5*f^2*n/(d*x + c) - 6*(b*x + a)^2*B*a*b*c*d^5*f^2*n/(d*x + c)^2 + 3*(b*x + a)^2*B*a^2*d^6*f^2*n/(d*x + c)^2 - 3*B*b^4*c^3*d*f*g*n + 3*B*a*b^3*c^2*d^2*f*g*n + 9*(b*x + a)*B*b^3*c^3*d^2*f*g*n/(d*x + c) + 3*B*a^2*b^2*c*d^3*f*g*n - 15*(b*x + a)*B*a*b^2*c^2*d^3*f*g*n/(d*x + c) - 6*(b*x + a)^2*B*b^2*c^3*d^3*f*g*n/(d*x + c)^2 - 3*B*a^3*b*d^4*f*g*n + 3*(b*x + a)*B*a^2*b*c*d^4*f*g*n/(d*x + c) + 12*(b*x + a)^2*B*a*b*c^2*d^4*f*g*n/(d*x + c)^2 + 3*(b*x + a)*B*a^3*d^5*f*g*n/(d*x + c) - 6*(b*x + a)^2*B*a^2*c*d^5*f*g*n/(d*x + c)^2 + B*b^4*c^4*g^2*n - B*a*b^3*c^3*d*g^2*n - 3*(b*x + a)*B*b^3*c^4*d*g^2*n/(d*x + c) + 3*(b*x + a)*B*a*b^2*c^3*d^2*g^2*n/(d*x + c) + 3*(b*x + a)^2*B*b^2*c^4*d^2*g^2*n/(d*x + c)^2 - B*a^3*b*c*d^3*g^2*n + 3*(b*x + a)*B*a^2*b*c^2*d^3*g^2*n/(d*x + c) - 6*(b*x + a)^2*B*a*b*c^3*d^3*g^2*n/(d*x + c)^2 + B*a^4*d^4*g^2*n - 3*(b*x + a)*B*a^3*c*d^4*g^2*n/(d*x + c) + 3*(b*x + a)^2*B*a^2*c^2*d^4*g^2*n/(d*x + c)^2)*log((b*x + a)/(d*x + c))/(b^3*d^3*f^6 - 3*(b*x + a)*b^2*d^4*f^6/(d*x + c) + 3*(b*x + a)^2*b*d^5*f^6/(d*x + c)^2 - (b*x + a)^3*d^6*f^6/(d*x + c)^3 - 3*b^3*c*d^2*f^5*g - 3*a*b^2*d^3*f^5*g + 12*(b*x + a)*b^2*c*d^3*f^5*g/(d*x + c) + 6*(b*x + a)*a*b*d^4*f^5*g/(d*x + c) - 15*(b*x + a)^2*b*c*d^4*f^5*g/(d*x + c)^2 - 3*(b*x + a)^2*a*d^5*f^5*g/(d*x + c)^2 + 6*(b*x + a)^3*c*d^5*f^5*g/(d*x + c)^3 + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 - 18*(b*x + a)*b^2*c^2*d^2*f^4*g^2/(d*x + c) + 3*a^2*b*d^3*f^4*g^2 - 24*(b*x + a)*a*b*c*d^3*f^4*g^2/(d*x + c) + 30*(b*x + a)^2*b*c^2*d^3*f^4*g^2/(d*x + c)^2 - 3*(b*x + a)*a^2*d^4*f^4*g^2/(d*x + c) + 15*(b*x + a)^2*a*c*d^4*f^4*g^2/(d*x + c)^2 - 15*(b*x + a)^3*c^2*d^4*f^4*g^2/(d*x + c)^3 - b^3*c^3*f^3*g^3 - 9*a*b^2*c^2*d*f^3*g^3 + 12*(b*x + a)*b^2*c^3*d*f^3*g^3/(d*x + c) - 9*a^2*b*c*d^2*f^3*g^3 + 36*(b*x + a)*a*b*c^2*d^2*f^3*g^3/(d*x + c) - 30*(b*x + a)^2*b*c^3*d^2*f^3*g^3/(d*x + c)^2 - a^3*d^3*f^3*g^3 + 12*(b*x + a)*a^2*c*d^3*f^3*g^3/(d*x + c) - 30*(b*x + a)^2*a*c^2*d^3*f^3*g^3/(d*x + c)^2 + 20*(b*x + a)^3*c^3*d^3*f^3*g^3/(d*x + c)^3 + 3*a*b^2*c^3*f^2*g^4 - 3*(b*x + a)*b^2*c^4*f^2*g^4/(d*x + c) + 9*a^2*b*c^2*d*f^2*g^4 - 24*(b*x + a)*a*b*c^3*d*f^2*g^4/(d*x + c) + 15*(b*x + a)^2*b*c^4*d*f^2*g^4/(d*x + c)^2 + 3*a^3*c*d^2*f^2*g^4 - 18*(b*x + a)*a^2*c^2*d^2*f^2*g^4/(d*x + c) + 30*(b*x + a)^2*a*c^3*d^2*f^2*g^4/(d*x + c)^2 - 15*(b*x + a)^3*c^4*d^2*f^2*g^4/(d*x + c)^3 - 3*a^2*b*c^3*f*g^5 + 6*(b*x + a)*a*b*c^4*f*g^5/(d*x + c) - 3*(b*x + a)^2*b*c^5*f*g^5/(d*x + c)^2 - 3*a^3*c^2*d*f*g^5 + 12*(b*x + a)*a^2*c^3*d*f*g^5/(d*x + c) - 15*(b*x + a)^2*a*c^4*d*f*g^5/(d*x + c)^2 + 6*(b*x + a)^3*c^5*d*f*g^5/(d*x + c)^3 + a^3*c^3*g^6 - 3*(b*x + a)*a^2*c^4*g^6/(d*x + c) + 3*(b*x + a)^2*a*c^5*g^6/(d*x + c)^2 - (b*x + a)^3*c^6*g^6/(d*x + c)^3) - 2*(3*B*b^4*c^2*d^2*f^2*n - 6*B*a*b^3*c*d^3*f^2*n + 3*B*a^2*b^2*d^4*f^2*n - 3*B*b^4*c^3*d*f*g*n + 3*B*a*b^3*c^2*d^2*f*g*n + 3*B*a^2*b^2*c*d^3*f*g*n - 3*B*a^3*b*d^4*f*g*n + B*b^4*c^4*g^2*n - B*a*b^3*c^3*d*g^2*n - B*a^3*b*c*d^3*g^2*n + B*a^4*d^4*g^2*n)*log((b*x + a)/(d*x + c))/(b^3*d^3*f^6 - 3*b^3*c*d^2*f^5*g - 3*a*b^2*d^3*f^5*g + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 + 3*a^2*b*d^3*f^4*g^2 - b^3*c^3*f^3*g^3 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 - a^3*d^3*f^3*g^3 + 3*a*b^2*c^3*f^2*g^4 + 9*a^2*b*c^2*d*f^2*g^4 + 3*a^3*c*d^2*f^2*g^4 - 3*a^2*b*c^3*f*g^5 - 3*a^3*c^2*d*f*g^5 + a^3*c^3*g^6) + (6*B*b^6*c^3*d*f^3*g*n - 18*B*a*b^5*c^2*d^2*f^3*g*n - 12*(b*x + a)*B*b^5*c^3*d^2*f^3*g*n/(d*x + c) + 18*B*a^2*b^4*c*d^3*f^3*g*n + 36*(b*x + a)*B*a*b^4*c^2*d^3*f^3*g*n/(d*x + c) + 6*(b*x + a)^2*B*b^4*c^3*d^3*f^3*g*n/(d*x + c)^2 - 6*B*a^3*b^3*d^4*f^3*g*n - 36*(b*x + a)*B*a^2*b^3*c*d^4*f^3*g*n/(d*x + c) - 18*(b*x + a)^2*B*a*b^3*c^2*d^4*f^3*g*n/(d*x + c)^2 + 12*(b*x + a)*B*a^3*b^2*d^5*f^3*g*n/(d*x + c) + 18*(b*x + a)^2*B*a^2*b^2*c*d^5*f^3*g*n/(d*x + c)^2 - 6*(b*x + a)^2*B*a^3*b*d^6*f^3*g*n/(d*x + c)^2 - 3*B*b^6*c^4*f^2*g^2*n - 6*B*a*b^5*c^3*d*f^2*g^2*n + 17*(b*x + a)*B*b^5*c^4*d*f^2*g^2*n/(d*x + c) + 36*B*a^2*b^4*c^2*d^2*f^2*g^2*n - 32*(b*x + a)*B*a*b^4*c^3*d^2*f^2*g^2*n/(d*x + c) - 14*(b*x + a)^2*B*b^4*c^4*d^2*f^2*g^2*n/(d*x + c)^2 - 42*B*a^3*b^3*c*d^3*f^2*g^2*n - 6*(b*x + a)*B*a^2*b^3*c^2*d^3*f^2*g^2*n/(d*x + c) + 38*(b*x + a)^2*B*a*b^3*c^3*d^3*f^2*g^2*n/(d*x + c)^2 + 15*B*a^4*b^2*d^4*f^2*g^2*n + 40*(b*x + a)*B*a^3*b^2*c*d^4*f^2*g^2*n/(d*x + c) - 30*(b*x + a)^2*B*a^2*b^2*c^2*d^4*f^2*g^2*n/(d*x + c)^2 - 19*(b*x + a)*B*a^4*b*d^5*f^2*g^2*n/(d*x + c) + 2*(b*x + a)^2*B*a^3*b*c*d^5*f^2*g^2*n/(d*x + c)^2 + 4*(b*x + a)^2*B*a^4*d^6*f^2*g^2*n/(d*x + c)^2 + 6*B*a*b^5*c^4*f*g^3*n - 5*(b*x + a)*B*b^5*c^5*f*g^3*n/(d*x + c) - 6*B*a^2*b^4*c^3*d*f*g^3*n - 9*(b*x + a)*B*a*b^4*c^4*d*f*g^3*n/(d*x + c) + 10*(b*x + a)^2*B*b^4*c^5*d*f*g^3*n/(d*x + c)^2 - 18*B*a^3*b^3*c^2*d^2*f*g^3*n + 50*(b*x + a)*B*a^2*b^3*c^3*d^2*f*g^3*n/(d*x + c) - 22*(b*x + a)^2*B*a*b^3*c^4*d^2*f*g^3*n/(d*x + c)^2 + 30*B*a^4*b^2*c*d^3*f*g^3*n - 46*(b*x + a)*B*a^3*b^2*c^2*d^3*f*g^3*n/(d*x + c) + 6*(b*x + a)^2*B*a^2*b^2*c^3*d^3*f*g^3*n/(d*x + c)^2 - 12*B*a^5*b*d^4*f*g^3*n + 3*(b*x + a)*B*a^4*b*c*d^4*f*g^3*n/(d*x + c) + 14*(b*x + a)^2*B*a^3*b*c^2*d^4*f*g^3*n/(d*x + c)^2 + 7*(b*x + a)*B*a^5*d^5*f*g^3*n/(d*x + c) - 8*(b*x + a)^2*B*a^4*c*d^5*f*g^3*n/(d*x + c)^2 - 3*B*a^2*b^4*c^4*g^4*n + 5*(b*x + a)*B*a*b^4*c^5*g^4*n/(d*x + c) - 2*(b*x + a)^2*B*b^4*c^6*g^4*n/(d*x + c)^2 + 6*B*a^3*b^3*c^3*d*g^4*n - 8*(b*x + a)*B*a^2*b^3*c^4*d*g^4*n/(d*x + c) + 2*(b*x + a)^2*B*a*b^3*c^5*d*g^4*n/(d*x + c)^2 - 6*(b*x + a)*B*a^3*b^2*c^3*d^2*g^4*n/(d*x + c) + 6*(b*x + a)^2*B*a^2*b^2*c^4*d^2*g^4*n/(d*x + c)^2 - 6*B*a^5*b*c*d^3*g^4*n + 16*(b*x + a)*B*a^4*b*c^2*d^3*g^4*n/(d*x + c) - 10*(b*x + a)^2*B*a^3*b*c^3*d^3*g^4*n/(d*x + c)^2 + 3*B*a^6*d^4*g^4*n - 7*(b*x + a)*B*a^5*c*d^4*g^4*n/(d*x + c) + 4*(b*x + a)^2*B*a^4*c^2*d^4*g^4*n/(d*x + c)^2 + 6*A*b^6*c^2*d^2*f^4 + 6*B*b^6*c^2*d^2*f^4 - 12*A*a*b^5*c*d^3*f^4 - 12*B*a*b^5*c*d^3*f^4 - 12*(b*x + a)*A*b^5*c^2*d^3*f^4/(d*x + c) - 12*(b*x + a)*B*b^5*c^2*d^3*f^4/(d*x + c) + 6*A*a^2*b^4*d^4*f^4 + 6*B*a^2*b^4*d^4*f^4 + 24*(b*x + a)*A*a*b^4*c*d^4*f^4/(d*x + c) + 24*(b*x + a)*B*a*b^4*c*d^4*f^4/(d*x + c) + 6*(b*x + a)^2*A*b^4*c^2*d^4*f^4/(d*x + c)^2 + 6*(b*x + a)^2*B*b^4*c^2*d^4*f^4/(d*x + c)^2 - 12*(b*x + a)*A*a^2*b^3*d^5*f^4/(d*x + c) - 12*(b*x + a)*B*a^2*b^3*d^5*f^4/(d*x + c) - 12*(b*x + a)^2*A*a*b^3*c*d^5*f^4/(d*x + c)^2 - 12*(b*x + a)^2*B*a*b^3*c*d^5*f^4/(d*x + c)^2 + 6*(b*x + a)^2*A*a^2*b^2*d^6*f^4/(d*x + c)^2 + 6*(b*x + a)^2*B*a^2*b^2*d^6*f^4/(d*x + c)^2 - 6*A*b^6*c^3*d*f^3*g - 6*B*b^6*c^3*d*f^3*g - 6*A*a*b^5*c^2*d^2*f^3*g - 6*B*a*b^5*c^2*d^2*f^3*g + 18*(b*x + a)*A*b^5*c^3*d^2*f^3*g/(d*x + c) + 18*(b*x + a)*B*b^5*c^3*d^2*f^3*g/(d*x + c) + 30*A*a^2*b^4*c*d^3*f^3*g + 30*B*a^2*b^4*c*d^3*f^3*g - 6*(b*x + a)*A*a*b^4*c^2*d^3*f^3*g/(d*x + c) - 6*(b*x + a)*B*a*b^4*c^2*d^3*f^3*g/(d*x + c) - 12*(b*x + a)^2*A*b^4*c^3*d^3*f^3*g/(d*x + c)^2 - 12*(b*x + a)^2*B*b^4*c^3*d^3*f^3*g/(d*x + c)^2 - 18*A*a^3*b^3*d^4*f^3*g - 18*B*a^3*b^3*d^4*f^3*g - 42*(b*x + a)*A*a^2*b^3*c*d^4*f^3*g/(d*x + c) - 42*(b*x + a)*B*a^2*b^3*c*d^4*f^3*g/(d*x + c) + 12*(b*x + a)^2*A*a*b^3*c^2*d^4*f^3*g/(d*x + c)^2 + 12*(b*x + a)^2*B*a*b^3*c^2*d^4*f^3*g/(d*x + c)^2 + 30*(b*x + a)*A*a^3*b^2*d^5*f^3*g/(d*x + c) + 30*(b*x + a)*B*a^3*b^2*d^5*f^3*g/(d*x + c) + 12*(b*x + a)^2*A*a^2*b^2*c*d^5*f^3*g/(d*x + c)^2 + 12*(b*x + a)^2*B*a^2*b^2*c*d^5*f^3*g/(d*x + c)^2 - 12*(b*x + a)^2*A*a^3*b*d^6*f^3*g/(d*x + c)^2 - 12*(b*x + a)^2*B*a^3*b*d^6*f^3*g/(d*x + c)^2 + 2*A*b^6*c^4*f^2*g^2 + 2*B*b^6*c^4*f^2*g^2 + 10*A*a*b^5*c^3*d*f^2*g^2 + 10*B*a*b^5*c^3*d*f^2*g^2 - 6*(b*x + a)*A*b^5*c^4*d*f^2*g^2/(d*x + c) - 6*(b*x + a)*B*b^5*c^4*d*f^2*g^2/(d*x + c) - 6*A*a^2*b^4*c^2*d^2*f^2*g^2 - 6*B*a^2*b^4*c^2*d^2*f^2*g^2 - 30*(b*x + a)*A*a*b^4*c^3*d^2*f^2*g^2/(d*x + c) - 30*(b*x + a)*B*a*b^4*c^3*d^2*f^2*g^2/(d*x + c) + 6*(b*x + a)^2*A*b^4*c^4*d^2*f^2*g^2/(d*x + c)^2 + 6*(b*x + a)^2*B*b^4*c^4*d^2*f^2*g^2/(d*x + c)^2 - 26*A*a^3*b^3*c*d^3*f^2*g^2 - 26*B*a^3*b^3*c*d^3*f^2*g^2 + 54*(b*x + a)*A*a^2*b^3*c^2*d^3*f^2*g^2/(d*x + c) + 54*(b*x + a)*B*a^2*b^3*c^2*d^3*f^2*g^2/(d*x + c) + 12*(b*x + a)^2*A*a*b^3*c^3*d^3*f^2*g^2/(d*x + c)^2 + 12*(b*x + a)^2*B*a*b^3*c^3*d^3*f^2*g^2/(d*x + c)^2 + 20*A*a^4*b^2*d^4*f^2*g^2 + 20*B*a^4*b^2*d^4*f^2*g^2 + 6*(b*x + a)*A*a^3*b^2*c*d^4*f^2*g^2/(d*x + c) + 6*(b*x + a)*B*a^3*b^2*c*d^4*f^2*g^2/(d*x + c) - 36*(b*x + a)^2*A*a^2*b^2*c^2*d^4*f^2*g^2/(d*x + c)^2 - 36*(b*x + a)^2*B*a^2*b^2*c^2*d^4*f^2*g^2/(d*x + c)^2 - 24*(b*x + a)*A*a^4*b*d^5*f^2*g^2/(d*x + c) - 24*(b*x + a)*B*a^4*b*d^5*f^2*g^2/(d*x + c) + 12*(b*x + a)^2*A*a^3*b*c*d^5*f^2*g^2/(d*x + c)^2 + 12*(b*x + a)^2*B*a^3*b*c*d^5*f^2*g^2/(d*x + c)^2 + 6*(b*x + a)^2*A*a^4*d^6*f^2*g^2/(d*x + c)^2 + 6*(b*x + a)^2*B*a^4*d^6*f^2*g^2/(d*x + c)^2 - 4*A*a*b^5*c^4*f*g^3 - 4*B*a*b^5*c^4*f*g^3 - 2*A*a^2*b^4*c^3*d*f*g^3 - 2*B*a^2*b^4*c^3*d*f*g^3 + 12*(b*x + a)*A*a*b^4*c^4*d*f*g^3/(d*x + c) + 12*(b*x + a)*B*a*b^4*c^4*d*f*g^3/(d*x + c) + 6*A*a^3*b^3*c^2*d^2*f*g^3 + 6*B*a^3*b^3*c^2*d^2*f*g^3 + 6*(b*x + a)*A*a^2*b^3*c^3*d^2*f*g^3/(d*x + c) + 6*(b*x + a)*B*a^2*b^3*c^3*d^2*f*g^3/(d*x + c) - 12*(b*x + a)^2*A*a*b^3*c^4*d^2*f*g^3/(d*x + c)^2 - 12*(b*x + a)^2*B*a*b^3*c^4*d^2*f*g^3/(d*x + c)^2 + 10*A*a^4*b^2*c*d^3*f*g^3 + 10*B*a^4*b^2*c*d^3*f*g^3 - 42*(b*x + a)*A*a^3*b^2*c^2*d^3*f*g^3/(d*x + c) - 42*(b*x + a)*B*a^3*b^2*c^2*d^3*f*g^3/(d*x + c) + 12*(b*x + a)^2*A*a^2*b^2*c^3*d^3*f*g^3/(d*x + c)^2 + 12*(b*x + a)^2*B*a^2*b^2*c^3*d^3*f*g^3/(d*x + c)^2 - 10*A*a^5*b*d^4*f*g^3 - 10*B*a^5*b*d^4*f*g^3 + 18*(b*x + a)*A*a^4*b*c*d^4*f*g^3/(d*x + c) + 18*(b*x + a)*B*a^4*b*c*d^4*f*g^3/(d*x + c) + 12*(b*x + a)^2*A*a^3*b*c^2*d^4*f*g^3/(d*x + c)^2 + 12*(b*x + a)^2*B*a^3*b*c^2*d^4*f*g^3/(d*x + c)^2 + 6*(b*x + a)*A*a^5*d^5*f*g^3/(d*x + c) + 6*(b*x + a)*B*a^5*d^5*f*g^3/(d*x + c) - 12*(b*x + a)^2*A*a^4*c*d^5*f*g^3/(d*x + c)^2 - 12*(b*x + a)^2*B*a^4*c*d^5*f*g^3/(d*x + c)^2 + 2*A*a^2*b^4*c^4*g^4 + 2*B*a^2*b^4*c^4*g^4 - 2*A*a^3*b^3*c^3*d*g^4 - 2*B*a^3*b^3*c^3*d*g^4 - 6*(b*x + a)*A*a^2*b^3*c^4*d*g^4/(d*x + c) - 6*(b*x + a)*B*a^2*b^3*c^4*d*g^4/(d*x + c) + 6*(b*x + a)*A*a^3*b^2*c^3*d^2*g^4/(d*x + c) + 6*(b*x + a)*B*a^3*b^2*c^3*d^2*g^4/(d*x + c) + 6*(b*x + a)^2*A*a^2*b^2*c^4*d^2*g^4/(d*x + c)^2 + 6*(b*x + a)^2*B*a^2*b^2*c^4*d^2*g^4/(d*x + c)^2 - 2*A*a^5*b*c*d^3*g^4 - 2*B*a^5*b*c*d^3*g^4 + 6*(b*x + a)*A*a^4*b*c^2*d^3*g^4/(d*x + c) + 6*(b*x + a)*B*a^4*b*c^2*d^3*g^4/(d*x + c) - 12*(b*x + a)^2*A*a^3*b*c^3*d^3*g^4/(d*x + c)^2 - 12*(b*x + a)^2*B*a^3*b*c^3*d^3*g^4/(d*x + c)^2 + 2*A*a^6*d^4*g^4 + 2*B*a^6*d^4*g^4 - 6*(b*x + a)*A*a^5*c*d^4*g^4/(d*x + c) - 6*(b*x + a)*B*a^5*c*d^4*g^4/(d*x + c) + 6*(b*x + a)^2*A*a^4*c^2*d^4*g^4/(d*x + c)^2 + 6*(b*x + a)^2*B*a^4*c^2*d^4*g^4/(d*x + c)^2)/(b^5*d^3*f^8 - 3*(b*x + a)*b^4*d^4*f^8/(d*x + c) + 3*(b*x + a)^2*b^3*d^5*f^8/(d*x + c)^2 - (b*x + a)^3*b^2*d^6*f^8/(d*x + c)^3 - 3*b^5*c*d^2*f^7*g - 5*a*b^4*d^3*f^7*g + 12*(b*x + a)*b^4*c*d^3*f^7*g/(d*x + c) + 12*(b*x + a)*a*b^3*d^4*f^7*g/(d*x + c) - 15*(b*x + a)^2*b^3*c*d^4*f^7*g/(d*x + c)^2 - 9*(b*x + a)^2*a*b^2*d^5*f^7*g/(d*x + c)^2 + 6*(b*x + a)^3*b^2*c*d^5*f^7*g/(d*x + c)^3 + 2*(b*x + a)^3*a*b*d^6*f^7*g/(d*x + c)^3 + 3*b^5*c^2*d*f^6*g^2 + 15*a*b^4*c*d^2*f^6*g^2 - 18*(b*x + a)*b^4*c^2*d^2*f^6*g^2/(d*x + c) + 10*a^2*b^3*d^3*f^6*g^2 - 48*(b*x + a)*a*b^3*c*d^3*f^6*g^2/(d*x + c) + 30*(b*x + a)^2*b^3*c^2*d^3*f^6*g^2/(d*x + c)^2 - 18*(b*x + a)*a^2*b^2*d^4*f^6*g^2/(d*x + c) + 45*(b*x + a)^2*a*b^2*c*d^4*f^6*g^2/(d*x + c)^2 - 15*(b*x + a)^3*b^2*c^2*d^4*f^6*g^2/(d*x + c)^3 + 9*(b*x + a)^2*a^2*b*d^5*f^6*g^2/(d*x + c)^2 - 12*(b*x + a)^3*a*b*c*d^5*f^6*g^2/(d*x + c)^3 - (b*x + a)^3*a^2*d^6*f^6*g^2/(d*x + c)^3 - b^5*c^3*f^5*g^3 - 15*a*b^4*c^2*d*f^5*g^3 + 12*(b*x + a)*b^4*c^3*d*f^5*g^3/(d*x + c) - 30*a^2*b^3*c*d^2*f^5*g^3 + 72*(b*x + a)*a*b^3*c^2*d^2*f^5*g^3/(d*x + c) - 30*(b*x + a)^2*b^3*c^3*d^2*f^5*g^3/(d*x + c)^2 - 10*a^3*b^2*d^3*f^5*g^3 + 72*(b*x + a)*a^2*b^2*c*d^3*f^5*g^3/(d*x + c) - 90*(b*x + a)^2*a*b^2*c^2*d^3*f^5*g^3/(d*x + c)^2 + 20*(b*x + a)^3*b^2*c^3*d^3*f^5*g^3/(d*x + c)^3 + 12*(b*x + a)*a^3*b*d^4*f^5*g^3/(d*x + c) - 45*(b*x + a)^2*a^2*b*c*d^4*f^5*g^3/(d*x + c)^2 + 30*(b*x + a)^3*a*b*c^2*d^4*f^5*g^3/(d*x + c)^3 - 3*(b*x + a)^2*a^3*d^5*f^5*g^3/(d*x + c)^2 + 6*(b*x + a)^3*a^2*c*d^5*f^5*g^3/(d*x + c)^3 + 5*a*b^4*c^3*f^4*g^4 - 3*(b*x + a)*b^4*c^4*f^4*g^4/(d*x + c) + 30*a^2*b^3*c^2*d*f^4*g^4 - 48*(b*x + a)*a*b^3*c^3*d*f^4*g^4/(d*x + c) + 15*(b*x + a)^2*b^3*c^4*d*f^4*g^4/(d*x + c)^2 + 30*a^3*b^2*c*d^2*f^4*g^4 - 108*(b*x + a)*a^2*b^2*c^2*d^2*f^4*g^4/(d*x + c) + 90*(b*x + a)^2*a*b^2*c^3*d^2*f^4*g^4/(d*x + c)^2 - 15*(b*x + a)^3*b^2*c^4*d^2*f^4*g^4/(d*x + c)^3 + 5*a^4*b*d^3*f^4*g^4 - 48*(b*x + a)*a^3*b*c*d^3*f^4*g^4/(d*x + c) + 90*(b*x + a)^2*a^2*b*c^2*d^3*f^4*g^4/(d*x + c)^2 - 40*(b*x + a)^3*a*b*c^3*d^3*f^4*g^4/(d*x + c)^3 - 3*(b*x + a)*a^4*d^4*f^4*g^4/(d*x + c) + 15*(b*x + a)^2*a^3*c*d^4*f^4*g^4/(d*x + c)^2 - 15*(b*x + a)^3*a^2*c^2*d^4*f^4*g^4/(d*x + c)^3 - 10*a^2*b^3*c^3*f^3*g^5 + 12*(b*x + a)*a*b^3*c^4*f^3*g^5/(d*x + c) - 3*(b*x + a)^2*b^3*c^5*f^3*g^5/(d*x + c)^2 - 30*a^3*b^2*c^2*d*f^3*g^5 + 72*(b*x + a)*a^2*b^2*c^3*d*f^3*g^5/(d*x + c) - 45*(b*x + a)^2*a*b^2*c^4*d*f^3*g^5/(d*x + c)^2 + 6*(b*x + a)^3*b^2*c^5*d*f^3*g^5/(d*x + c)^3 - 15*a^4*b*c*d^2*f^3*g^5 + 72*(b*x + a)*a^3*b*c^2*d^2*f^3*g^5/(d*x + c) - 90*(b*x + a)^2*a^2*b*c^3*d^2*f^3*g^5/(d*x + c)^2 + 30*(b*x + a)^3*a*b*c^4*d^2*f^3*g^5/(d*x + c)^3 - a^5*d^3*f^3*g^5 + 12*(b*x + a)*a^4*c*d^3*f^3*g^5/(d*x + c) - 30*(b*x + a)^2*a^3*c^2*d^3*f^3*g^5/(d*x + c)^2 + 20*(b*x + a)^3*a^2*c^3*d^3*f^3*g^5/(d*x + c)^3 + 10*a^3*b^2*c^3*f^2*g^6 - 18*(b*x + a)*a^2*b^2*c^4*f^2*g^6/(d*x + c) + 9*(b*x + a)^2*a*b^2*c^5*f^2*g^6/(d*x + c)^2 - (b*x + a)^3*b^2*c^6*f^2*g^6/(d*x + c)^3 + 15*a^4*b*c^2*d*f^2*g^6 - 48*(b*x + a)*a^3*b*c^3*d*f^2*g^6/(d*x + c) + 45*(b*x + a)^2*a^2*b*c^4*d*f^2*g^6/(d*x + c)^2 - 12*(b*x + a)^3*a*b*c^5*d*f^2*g^6/(d*x + c)^3 + 3*a^5*c*d^2*f^2*g^6 - 18*(b*x + a)*a^4*c^2*d^2*f^2*g^6/(d*x + c) + 30*(b*x + a)^2*a^3*c^3*d^2*f^2*g^6/(d*x + c)^2 - 15*(b*x + a)^3*a^2*c^4*d^2*f^2*g^6/(d*x + c)^3 - 5*a^4*b*c^3*f*g^7 + 12*(b*x + a)*a^3*b*c^4*f*g^7/(d*x + c) - 9*(b*x + a)^2*a^2*b*c^5*f*g^7/(d*x + c)^2 + 2*(b*x + a)^3*a*b*c^6*f*g^7/(d*x + c)^3 - 3*a^5*c^2*d*f*g^7 + 12*(b*x + a)*a^4*c^3*d*f*g^7/(d*x + c) - 15*(b*x + a)^2*a^3*c^4*d*f*g^7/(d*x + c)^2 + 6*(b*x + a)^3*a^2*c^5*d*f*g^7/(d*x + c)^3 + a^5*c^3*g^8 - 3*(b*x + a)*a^4*c^4*g^8/(d*x + c) + 3*(b*x + a)^2*a^3*c^5*g^8/(d*x + c)^2 - (b*x + a)^3*a^2*c^6*g^8/(d*x + c)^3))*(b*c/(b*c - a*d)^2 - a*d/(b*c - a*d)^2)","B",0
66,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(g*x+f)^5,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate((g*x+f)^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
68,-1,0,0,0.000000," ","integrate((g*x+f)^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
69,-1,0,0,0.000000," ","integrate((g*x+f)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(g*x+f),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(g*x+f)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(g*x+f)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(g*x+f)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(g*x+f)^5,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,-1,0,0,0.000000," ","integrate((g*x+f)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,-1,0,0,0.000000," ","integrate((g*x+f)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate(1/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,-1,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate(1/(g*x+f)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate(1/(g*x+f)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,0,0,0,0.000000," ","integrate((g*x+f)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{2}}{{\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((g*x + f)^2/(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2, x)","F",0
83,0,0,0,0.000000," ","integrate((g*x+f)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{g x + f}{{\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((g*x + f)/(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2, x)","F",0
84,0,0,0,0.000000," ","integrate(1/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((B*log(e*((b*x + a)/(d*x + c))^n) + A)^(-2), x)","F",0
85,0,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2), x)","F",0
86,0,0,0,0.000000," ","integrate(1/(g*x+f)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{2} {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)^2*(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2), x)","F",0
87,0,0,0,0.000000," ","integrate(1/(g*x+f)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{3} {\left(B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)^3*(B*log(e*((b*x + a)/(d*x + c))^n) + A)^2), x)","F",0
88,1,5428,0,2.558186," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(12 \, B b^{11} c^{6} g^{4} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 72 \, B a b^{10} c^{5} d g^{4} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 180 \, B a^{2} b^{9} c^{4} d^{2} g^{4} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 240 \, B a^{3} b^{8} c^{3} d^{3} g^{4} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 180 \, B a^{4} b^{7} c^{2} d^{4} g^{4} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 72 \, B a^{5} b^{6} c d^{5} g^{4} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 12 \, B a^{6} b^{5} d^{6} g^{4} e^{6} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{60 \, {\left(b x e + a e\right)} B b^{10} c^{6} d g^{4} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{360 \, {\left(b x e + a e\right)} B a b^{9} c^{5} d^{2} g^{4} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{900 \, {\left(b x e + a e\right)} B a^{2} b^{8} c^{4} d^{3} g^{4} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{1200 \, {\left(b x e + a e\right)} B a^{3} b^{7} c^{3} d^{4} g^{4} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{900 \, {\left(b x e + a e\right)} B a^{4} b^{6} c^{2} d^{5} g^{4} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{360 \, {\left(b x e + a e\right)} B a^{5} b^{5} c d^{6} g^{4} 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^{6} b^{4} d^{7} g^{4} e^{5} \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)}^{2} B b^{9} c^{6} d^{2} g^{4} 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{720 \, {\left(b x e + a e\right)}^{2} B a b^{8} c^{5} d^{3} g^{4} 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{1800 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{7} c^{4} d^{4} g^{4} 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{2400 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{6} c^{3} d^{5} g^{4} 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{1800 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{5} c^{2} d^{6} g^{4} 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{720 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{4} c d^{7} g^{4} 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^{6} b^{3} d^{8} g^{4} 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)}^{3} B b^{8} c^{6} d^{3} g^{4} 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{720 \, {\left(b x e + a e\right)}^{3} B a b^{7} c^{5} d^{4} g^{4} 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{1800 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{6} c^{4} d^{5} g^{4} 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{2400 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{5} c^{3} d^{6} g^{4} 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{1800 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{4} c^{2} d^{7} g^{4} 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{720 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{3} c d^{8} g^{4} 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^{6} b^{2} d^{9} g^{4} 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)}^{4} B b^{7} c^{6} d^{4} g^{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)}^{4}} - \frac{360 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g^{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)}^{4}} + \frac{900 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g^{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)}^{4}} - \frac{1200 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g^{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)}^{4}} + \frac{900 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g^{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)}^{4}} - \frac{360 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g^{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)}^{4}} + \frac{60 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g^{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)}^{4}} - \frac{12 \, {\left(b x e + a e\right)}^{5} B b^{6} c^{6} d^{5} g^{4} 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{72 \, {\left(b x e + a e\right)}^{5} B a b^{5} c^{5} d^{6} g^{4} 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{180 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{4} c^{4} d^{7} g^{4} 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{240 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{3} c^{3} d^{8} g^{4} 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{180 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{2} c^{2} d^{9} g^{4} 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{72 \, {\left(b x e + a e\right)}^{5} B a^{5} b c d^{10} g^{4} 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^{6} d^{11} g^{4} 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 b^{6} c^{6} d^{5} g^{4} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{72 \, {\left(b x e + a e\right)}^{5} B a b^{5} c^{5} d^{6} g^{4} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{180 \, {\left(b x e + a e\right)}^{5} B a^{2} b^{4} c^{4} d^{7} g^{4} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{240 \, {\left(b x e + a e\right)}^{5} B a^{3} b^{3} c^{3} d^{8} g^{4} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + \frac{180 \, {\left(b x e + a e\right)}^{5} B a^{4} b^{2} c^{2} d^{9} g^{4} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} - \frac{72 \, {\left(b x e + a e\right)}^{5} B a^{5} b c d^{10} g^{4} 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^{6} d^{11} g^{4} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{5}} + 12 \, A b^{11} c^{6} g^{4} e^{6} + 25 \, B b^{11} c^{6} g^{4} e^{6} - 72 \, A a b^{10} c^{5} d g^{4} e^{6} - 150 \, B a b^{10} c^{5} d g^{4} e^{6} + 180 \, A a^{2} b^{9} c^{4} d^{2} g^{4} e^{6} + 375 \, B a^{2} b^{9} c^{4} d^{2} g^{4} e^{6} - 240 \, A a^{3} b^{8} c^{3} d^{3} g^{4} e^{6} - 500 \, B a^{3} b^{8} c^{3} d^{3} g^{4} e^{6} + 180 \, A a^{4} b^{7} c^{2} d^{4} g^{4} e^{6} + 375 \, B a^{4} b^{7} c^{2} d^{4} g^{4} e^{6} - 72 \, A a^{5} b^{6} c d^{5} g^{4} e^{6} - 150 \, B a^{5} b^{6} c d^{5} g^{4} e^{6} + 12 \, A a^{6} b^{5} d^{6} g^{4} e^{6} + 25 \, B a^{6} b^{5} d^{6} g^{4} e^{6} - \frac{60 \, {\left(b x e + a e\right)} A b^{10} c^{6} d g^{4} e^{5}}{d x + c} - \frac{113 \, {\left(b x e + a e\right)} B b^{10} c^{6} d g^{4} e^{5}}{d x + c} + \frac{360 \, {\left(b x e + a e\right)} A a b^{9} c^{5} d^{2} g^{4} e^{5}}{d x + c} + \frac{678 \, {\left(b x e + a e\right)} B a b^{9} c^{5} d^{2} g^{4} e^{5}}{d x + c} - \frac{900 \, {\left(b x e + a e\right)} A a^{2} b^{8} c^{4} d^{3} g^{4} e^{5}}{d x + c} - \frac{1695 \, {\left(b x e + a e\right)} B a^{2} b^{8} c^{4} d^{3} g^{4} e^{5}}{d x + c} + \frac{1200 \, {\left(b x e + a e\right)} A a^{3} b^{7} c^{3} d^{4} g^{4} e^{5}}{d x + c} + \frac{2260 \, {\left(b x e + a e\right)} B a^{3} b^{7} c^{3} d^{4} g^{4} e^{5}}{d x + c} - \frac{900 \, {\left(b x e + a e\right)} A a^{4} b^{6} c^{2} d^{5} g^{4} e^{5}}{d x + c} - \frac{1695 \, {\left(b x e + a e\right)} B a^{4} b^{6} c^{2} d^{5} g^{4} e^{5}}{d x + c} + \frac{360 \, {\left(b x e + a e\right)} A a^{5} b^{5} c d^{6} g^{4} e^{5}}{d x + c} + \frac{678 \, {\left(b x e + a e\right)} B a^{5} b^{5} c d^{6} g^{4} e^{5}}{d x + c} - \frac{60 \, {\left(b x e + a e\right)} A a^{6} b^{4} d^{7} g^{4} e^{5}}{d x + c} - \frac{113 \, {\left(b x e + a e\right)} B a^{6} b^{4} d^{7} g^{4} e^{5}}{d x + c} + \frac{120 \, {\left(b x e + a e\right)}^{2} A b^{9} c^{6} d^{2} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{196 \, {\left(b x e + a e\right)}^{2} B b^{9} c^{6} d^{2} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{720 \, {\left(b x e + a e\right)}^{2} A a b^{8} c^{5} d^{3} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{1176 \, {\left(b x e + a e\right)}^{2} B a b^{8} c^{5} d^{3} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{1800 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{7} c^{4} d^{4} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{2940 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{7} c^{4} d^{4} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{2400 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{6} c^{3} d^{5} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{3920 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{6} c^{3} d^{5} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{1800 \, {\left(b x e + a e\right)}^{2} A a^{4} b^{5} c^{2} d^{6} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{2940 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{5} c^{2} d^{6} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{720 \, {\left(b x e + a e\right)}^{2} A a^{5} b^{4} c d^{7} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{1176 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{4} c d^{7} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x e + a e\right)}^{2} A a^{6} b^{3} d^{8} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} + \frac{196 \, {\left(b x e + a e\right)}^{2} B a^{6} b^{3} d^{8} g^{4} e^{4}}{{\left(d x + c\right)}^{2}} - \frac{120 \, {\left(b x e + a e\right)}^{3} A b^{8} c^{6} d^{3} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{156 \, {\left(b x e + a e\right)}^{3} B b^{8} c^{6} d^{3} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{720 \, {\left(b x e + a e\right)}^{3} A a b^{7} c^{5} d^{4} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{936 \, {\left(b x e + a e\right)}^{3} B a b^{7} c^{5} d^{4} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{1800 \, {\left(b x e + a e\right)}^{3} A a^{2} b^{6} c^{4} d^{5} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{2340 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{6} c^{4} d^{5} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{2400 \, {\left(b x e + a e\right)}^{3} A a^{3} b^{5} c^{3} d^{6} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{3120 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{5} c^{3} d^{6} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{1800 \, {\left(b x e + a e\right)}^{3} A a^{4} b^{4} c^{2} d^{7} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{2340 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{4} c^{2} d^{7} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{720 \, {\left(b x e + a e\right)}^{3} A a^{5} b^{3} c d^{8} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{936 \, {\left(b x e + a e\right)}^{3} B a^{5} b^{3} c d^{8} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x e + a e\right)}^{3} A a^{6} b^{2} d^{9} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} - \frac{156 \, {\left(b x e + a e\right)}^{3} B a^{6} b^{2} d^{9} g^{4} e^{3}}{{\left(d x + c\right)}^{3}} + \frac{60 \, {\left(b x e + a e\right)}^{4} A b^{7} c^{6} d^{4} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} + \frac{48 \, {\left(b x e + a e\right)}^{4} B b^{7} c^{6} d^{4} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{360 \, {\left(b x e + a e\right)}^{4} A a b^{6} c^{5} d^{5} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{288 \, {\left(b x e + a e\right)}^{4} B a b^{6} c^{5} d^{5} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} + \frac{900 \, {\left(b x e + a e\right)}^{4} A a^{2} b^{5} c^{4} d^{6} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} + \frac{720 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{5} c^{4} d^{6} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{1200 \, {\left(b x e + a e\right)}^{4} A a^{3} b^{4} c^{3} d^{7} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{960 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{4} c^{3} d^{7} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} + \frac{900 \, {\left(b x e + a e\right)}^{4} A a^{4} b^{3} c^{2} d^{8} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} + \frac{720 \, {\left(b x e + a e\right)}^{4} B a^{4} b^{3} c^{2} d^{8} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{360 \, {\left(b x e + a e\right)}^{4} A a^{5} b^{2} c d^{9} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} - \frac{288 \, {\left(b x e + a e\right)}^{4} B a^{5} b^{2} c d^{9} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} + \frac{60 \, {\left(b x e + a e\right)}^{4} A a^{6} b d^{10} g^{4} e^{2}}{{\left(d x + c\right)}^{4}} + \frac{48 \, {\left(b x e + a e\right)}^{4} B a^{6} b d^{10} g^{4} 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^{6} d^{5} e^{5} - \frac{5 \, {\left(b x e + a e\right)} b^{5} d^{6} e^{4}}{d x + c} + \frac{10 \, {\left(b x e + a e\right)}^{2} b^{4} d^{7} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x e + a e\right)}^{3} b^{3} d^{8} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{5 \, {\left(b x e + a e\right)}^{4} b^{2} d^{9} e}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x e + a e\right)}^{5} b d^{10}}{{\left(d x + c\right)}^{5}}\right)}}"," ",0,"1/60*(12*B*b^11*c^6*g^4*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 72*B*a*b^10*c^5*d*g^4*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 180*B*a^2*b^9*c^4*d^2*g^4*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 240*B*a^3*b^8*c^3*d^3*g^4*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 180*B*a^4*b^7*c^2*d^4*g^4*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 72*B*a^5*b^6*c*d^5*g^4*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 12*B*a^6*b^5*d^6*g^4*e^6*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 60*(b*x*e + a*e)*B*b^10*c^6*d*g^4*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 360*(b*x*e + a*e)*B*a*b^9*c^5*d^2*g^4*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 900*(b*x*e + a*e)*B*a^2*b^8*c^4*d^3*g^4*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 1200*(b*x*e + a*e)*B*a^3*b^7*c^3*d^4*g^4*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 900*(b*x*e + a*e)*B*a^4*b^6*c^2*d^5*g^4*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 360*(b*x*e + a*e)*B*a^5*b^5*c*d^6*g^4*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^6*b^4*d^7*g^4*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 120*(b*x*e + a*e)^2*B*b^9*c^6*d^2*g^4*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 720*(b*x*e + a*e)^2*B*a*b^8*c^5*d^3*g^4*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 1800*(b*x*e + a*e)^2*B*a^2*b^7*c^4*d^4*g^4*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 2400*(b*x*e + a*e)^2*B*a^3*b^6*c^3*d^5*g^4*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 1800*(b*x*e + a*e)^2*B*a^4*b^5*c^2*d^6*g^4*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 720*(b*x*e + a*e)^2*B*a^5*b^4*c*d^7*g^4*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^6*b^3*d^8*g^4*e^4*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^8*c^6*d^3*g^4*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 720*(b*x*e + a*e)^3*B*a*b^7*c^5*d^4*g^4*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 1800*(b*x*e + a*e)^3*B*a^2*b^6*c^4*d^5*g^4*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 2400*(b*x*e + a*e)^3*B*a^3*b^5*c^3*d^6*g^4*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 1800*(b*x*e + a*e)^3*B*a^4*b^4*c^2*d^7*g^4*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 720*(b*x*e + a*e)^3*B*a^5*b^3*c*d^8*g^4*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^6*b^2*d^9*g^4*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 60*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g^4*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 360*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g^4*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 900*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g^4*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 1200*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g^4*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 900*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g^4*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 360*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g^4*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^6*b*d^10*g^4*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 12*(b*x*e + a*e)^5*B*b^6*c^6*d^5*g^4*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 72*(b*x*e + a*e)^5*B*a*b^5*c^5*d^6*g^4*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 180*(b*x*e + a*e)^5*B*a^2*b^4*c^4*d^7*g^4*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 240*(b*x*e + a*e)^5*B*a^3*b^3*c^3*d^8*g^4*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 - 180*(b*x*e + a*e)^5*B*a^4*b^2*c^2*d^9*g^4*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^5 + 72*(b*x*e + a*e)^5*B*a^5*b*c*d^10*g^4*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^6*d^11*g^4*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*b^6*c^6*d^5*g^4*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 72*(b*x*e + a*e)^5*B*a*b^5*c^5*d^6*g^4*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 180*(b*x*e + a*e)^5*B*a^2*b^4*c^4*d^7*g^4*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 240*(b*x*e + a*e)^5*B*a^3*b^3*c^3*d^8*g^4*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 180*(b*x*e + a*e)^5*B*a^4*b^2*c^2*d^9*g^4*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 - 72*(b*x*e + a*e)^5*B*a^5*b*c*d^10*g^4*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 12*(b*x*e + a*e)^5*B*a^6*d^11*g^4*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^5 + 12*A*b^11*c^6*g^4*e^6 + 25*B*b^11*c^6*g^4*e^6 - 72*A*a*b^10*c^5*d*g^4*e^6 - 150*B*a*b^10*c^5*d*g^4*e^6 + 180*A*a^2*b^9*c^4*d^2*g^4*e^6 + 375*B*a^2*b^9*c^4*d^2*g^4*e^6 - 240*A*a^3*b^8*c^3*d^3*g^4*e^6 - 500*B*a^3*b^8*c^3*d^3*g^4*e^6 + 180*A*a^4*b^7*c^2*d^4*g^4*e^6 + 375*B*a^4*b^7*c^2*d^4*g^4*e^6 - 72*A*a^5*b^6*c*d^5*g^4*e^6 - 150*B*a^5*b^6*c*d^5*g^4*e^6 + 12*A*a^6*b^5*d^6*g^4*e^6 + 25*B*a^6*b^5*d^6*g^4*e^6 - 60*(b*x*e + a*e)*A*b^10*c^6*d*g^4*e^5/(d*x + c) - 113*(b*x*e + a*e)*B*b^10*c^6*d*g^4*e^5/(d*x + c) + 360*(b*x*e + a*e)*A*a*b^9*c^5*d^2*g^4*e^5/(d*x + c) + 678*(b*x*e + a*e)*B*a*b^9*c^5*d^2*g^4*e^5/(d*x + c) - 900*(b*x*e + a*e)*A*a^2*b^8*c^4*d^3*g^4*e^5/(d*x + c) - 1695*(b*x*e + a*e)*B*a^2*b^8*c^4*d^3*g^4*e^5/(d*x + c) + 1200*(b*x*e + a*e)*A*a^3*b^7*c^3*d^4*g^4*e^5/(d*x + c) + 2260*(b*x*e + a*e)*B*a^3*b^7*c^3*d^4*g^4*e^5/(d*x + c) - 900*(b*x*e + a*e)*A*a^4*b^6*c^2*d^5*g^4*e^5/(d*x + c) - 1695*(b*x*e + a*e)*B*a^4*b^6*c^2*d^5*g^4*e^5/(d*x + c) + 360*(b*x*e + a*e)*A*a^5*b^5*c*d^6*g^4*e^5/(d*x + c) + 678*(b*x*e + a*e)*B*a^5*b^5*c*d^6*g^4*e^5/(d*x + c) - 60*(b*x*e + a*e)*A*a^6*b^4*d^7*g^4*e^5/(d*x + c) - 113*(b*x*e + a*e)*B*a^6*b^4*d^7*g^4*e^5/(d*x + c) + 120*(b*x*e + a*e)^2*A*b^9*c^6*d^2*g^4*e^4/(d*x + c)^2 + 196*(b*x*e + a*e)^2*B*b^9*c^6*d^2*g^4*e^4/(d*x + c)^2 - 720*(b*x*e + a*e)^2*A*a*b^8*c^5*d^3*g^4*e^4/(d*x + c)^2 - 1176*(b*x*e + a*e)^2*B*a*b^8*c^5*d^3*g^4*e^4/(d*x + c)^2 + 1800*(b*x*e + a*e)^2*A*a^2*b^7*c^4*d^4*g^4*e^4/(d*x + c)^2 + 2940*(b*x*e + a*e)^2*B*a^2*b^7*c^4*d^4*g^4*e^4/(d*x + c)^2 - 2400*(b*x*e + a*e)^2*A*a^3*b^6*c^3*d^5*g^4*e^4/(d*x + c)^2 - 3920*(b*x*e + a*e)^2*B*a^3*b^6*c^3*d^5*g^4*e^4/(d*x + c)^2 + 1800*(b*x*e + a*e)^2*A*a^4*b^5*c^2*d^6*g^4*e^4/(d*x + c)^2 + 2940*(b*x*e + a*e)^2*B*a^4*b^5*c^2*d^6*g^4*e^4/(d*x + c)^2 - 720*(b*x*e + a*e)^2*A*a^5*b^4*c*d^7*g^4*e^4/(d*x + c)^2 - 1176*(b*x*e + a*e)^2*B*a^5*b^4*c*d^7*g^4*e^4/(d*x + c)^2 + 120*(b*x*e + a*e)^2*A*a^6*b^3*d^8*g^4*e^4/(d*x + c)^2 + 196*(b*x*e + a*e)^2*B*a^6*b^3*d^8*g^4*e^4/(d*x + c)^2 - 120*(b*x*e + a*e)^3*A*b^8*c^6*d^3*g^4*e^3/(d*x + c)^3 - 156*(b*x*e + a*e)^3*B*b^8*c^6*d^3*g^4*e^3/(d*x + c)^3 + 720*(b*x*e + a*e)^3*A*a*b^7*c^5*d^4*g^4*e^3/(d*x + c)^3 + 936*(b*x*e + a*e)^3*B*a*b^7*c^5*d^4*g^4*e^3/(d*x + c)^3 - 1800*(b*x*e + a*e)^3*A*a^2*b^6*c^4*d^5*g^4*e^3/(d*x + c)^3 - 2340*(b*x*e + a*e)^3*B*a^2*b^6*c^4*d^5*g^4*e^3/(d*x + c)^3 + 2400*(b*x*e + a*e)^3*A*a^3*b^5*c^3*d^6*g^4*e^3/(d*x + c)^3 + 3120*(b*x*e + a*e)^3*B*a^3*b^5*c^3*d^6*g^4*e^3/(d*x + c)^3 - 1800*(b*x*e + a*e)^3*A*a^4*b^4*c^2*d^7*g^4*e^3/(d*x + c)^3 - 2340*(b*x*e + a*e)^3*B*a^4*b^4*c^2*d^7*g^4*e^3/(d*x + c)^3 + 720*(b*x*e + a*e)^3*A*a^5*b^3*c*d^8*g^4*e^3/(d*x + c)^3 + 936*(b*x*e + a*e)^3*B*a^5*b^3*c*d^8*g^4*e^3/(d*x + c)^3 - 120*(b*x*e + a*e)^3*A*a^6*b^2*d^9*g^4*e^3/(d*x + c)^3 - 156*(b*x*e + a*e)^3*B*a^6*b^2*d^9*g^4*e^3/(d*x + c)^3 + 60*(b*x*e + a*e)^4*A*b^7*c^6*d^4*g^4*e^2/(d*x + c)^4 + 48*(b*x*e + a*e)^4*B*b^7*c^6*d^4*g^4*e^2/(d*x + c)^4 - 360*(b*x*e + a*e)^4*A*a*b^6*c^5*d^5*g^4*e^2/(d*x + c)^4 - 288*(b*x*e + a*e)^4*B*a*b^6*c^5*d^5*g^4*e^2/(d*x + c)^4 + 900*(b*x*e + a*e)^4*A*a^2*b^5*c^4*d^6*g^4*e^2/(d*x + c)^4 + 720*(b*x*e + a*e)^4*B*a^2*b^5*c^4*d^6*g^4*e^2/(d*x + c)^4 - 1200*(b*x*e + a*e)^4*A*a^3*b^4*c^3*d^7*g^4*e^2/(d*x + c)^4 - 960*(b*x*e + a*e)^4*B*a^3*b^4*c^3*d^7*g^4*e^2/(d*x + c)^4 + 900*(b*x*e + a*e)^4*A*a^4*b^3*c^2*d^8*g^4*e^2/(d*x + c)^4 + 720*(b*x*e + a*e)^4*B*a^4*b^3*c^2*d^8*g^4*e^2/(d*x + c)^4 - 360*(b*x*e + a*e)^4*A*a^5*b^2*c*d^9*g^4*e^2/(d*x + c)^4 - 288*(b*x*e + a*e)^4*B*a^5*b^2*c*d^9*g^4*e^2/(d*x + c)^4 + 60*(b*x*e + a*e)^4*A*a^6*b*d^10*g^4*e^2/(d*x + c)^4 + 48*(b*x*e + a*e)^4*B*a^6*b*d^10*g^4*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^6*d^5*e^5 - 5*(b*x*e + a*e)*b^5*d^6*e^4/(d*x + c) + 10*(b*x*e + a*e)^2*b^4*d^7*e^3/(d*x + c)^2 - 10*(b*x*e + a*e)^3*b^3*d^8*e^2/(d*x + c)^3 + 5*(b*x*e + a*e)^4*b^2*d^9*e/(d*x + c)^4 - (b*x*e + a*e)^5*b*d^10/(d*x + c)^5)","B",0
89,1,3795,0,1.807207," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","-\frac{{\left(6 \, B b^{9} c^{5} g^{3} 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 g^{3} 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} g^{3} 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} g^{3} 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} g^{3} 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} g^{3} 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 g^{3} 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} g^{3} 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} g^{3} 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} g^{3} 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} g^{3} 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} g^{3} 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} 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)}^{2}} - \frac{180 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} 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)}^{2}} + \frac{360 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} 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)}^{2}} - \frac{360 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} 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)}^{2}} + \frac{180 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c 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)}^{2}} - \frac{36 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{2} 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)}^{2}} - \frac{24 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} 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)}^{3}} + \frac{120 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} 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)}^{3}} - \frac{240 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} 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)}^{3}} + \frac{240 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} 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)}^{3}} - \frac{120 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c 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)}^{3}} + \frac{24 \, {\left(b x e + a e\right)}^{3} B a^{5} b 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)}^{3}} + \frac{6 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{5} d^{4} 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)}^{4}} - \frac{30 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{4} d^{5} 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)}^{4}} + \frac{60 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{3} c^{3} 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)}^{4}} - \frac{60 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{2} c^{2} 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)}^{4}} + \frac{30 \, {\left(b x e + a e\right)}^{4} B a^{4} b c 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)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{4} B a^{5} 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)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{5} d^{4} g^{3} 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} g^{3} 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} g^{3} 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} g^{3} 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} g^{3} 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} g^{3} 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} g^{3} e^{5} + 11 \, B b^{9} c^{5} g^{3} e^{5} - 30 \, A a b^{8} c^{4} d g^{3} e^{5} - 55 \, B a b^{8} c^{4} d g^{3} e^{5} + 60 \, A a^{2} b^{7} c^{3} d^{2} g^{3} e^{5} + 110 \, B a^{2} b^{7} c^{3} d^{2} g^{3} e^{5} - 60 \, A a^{3} b^{6} c^{2} d^{3} g^{3} e^{5} - 110 \, B a^{3} b^{6} c^{2} d^{3} g^{3} e^{5} + 30 \, A a^{4} b^{5} c d^{4} g^{3} e^{5} + 55 \, B a^{4} b^{5} c d^{4} g^{3} e^{5} - 6 \, A a^{5} b^{4} d^{5} g^{3} e^{5} - 11 \, B a^{5} b^{4} d^{5} g^{3} e^{5} - \frac{24 \, {\left(b x e + a e\right)} A b^{8} c^{5} d g^{3} e^{4}}{d x + c} - \frac{38 \, {\left(b x e + a e\right)} B b^{8} c^{5} d g^{3} e^{4}}{d x + c} + \frac{120 \, {\left(b x e + a e\right)} A a b^{7} c^{4} d^{2} g^{3} e^{4}}{d x + c} + \frac{190 \, {\left(b x e + a e\right)} B a b^{7} c^{4} d^{2} g^{3} e^{4}}{d x + c} - \frac{240 \, {\left(b x e + a e\right)} A a^{2} b^{6} c^{3} d^{3} g^{3} e^{4}}{d x + c} - \frac{380 \, {\left(b x e + a e\right)} B a^{2} b^{6} c^{3} d^{3} g^{3} e^{4}}{d x + c} + \frac{240 \, {\left(b x e + a e\right)} A a^{3} b^{5} c^{2} d^{4} g^{3} e^{4}}{d x + c} + \frac{380 \, {\left(b x e + a e\right)} B a^{3} b^{5} c^{2} d^{4} g^{3} e^{4}}{d x + c} - \frac{120 \, {\left(b x e + a e\right)} A a^{4} b^{4} c d^{5} g^{3} e^{4}}{d x + c} - \frac{190 \, {\left(b x e + a e\right)} B a^{4} b^{4} c d^{5} g^{3} e^{4}}{d x + c} + \frac{24 \, {\left(b x e + a e\right)} A a^{5} b^{3} d^{6} g^{3} e^{4}}{d x + c} + \frac{38 \, {\left(b x e + a e\right)} B a^{5} b^{3} d^{6} g^{3} e^{4}}{d x + c} + \frac{36 \, {\left(b x e + a e\right)}^{2} A b^{7} c^{5} d^{2} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{45 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{180 \, {\left(b x e + a e\right)}^{2} A a b^{6} c^{4} d^{3} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{225 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{360 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{5} c^{3} d^{4} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{450 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{360 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{4} c^{2} d^{5} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{450 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{180 \, {\left(b x e + a e\right)}^{2} A a^{4} b^{3} c d^{6} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{225 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c d^{6} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x e + a e\right)}^{2} A a^{5} b^{2} d^{7} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{45 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{2} d^{7} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x e + a e\right)}^{3} A b^{6} c^{5} d^{3} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{18 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x e + a e\right)}^{3} A a b^{5} c^{4} d^{4} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{90 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{240 \, {\left(b x e + a e\right)}^{3} A a^{2} b^{4} c^{3} d^{5} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{180 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{240 \, {\left(b x e + a e\right)}^{3} A a^{3} b^{3} c^{2} d^{6} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{180 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c^{2} d^{6} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{120 \, {\left(b x e + a e\right)}^{3} A a^{4} b^{2} c d^{7} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{90 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x e + a e\right)}^{3} A a^{5} b d^{8} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{18 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} g^{3} 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^{5} d^{4} e^{4} - \frac{4 \, {\left(b x e + a e\right)} b^{4} d^{5} e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)}^{2} b^{3} d^{6} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{3} b^{2} d^{7} e}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x e + a e\right)}^{4} b d^{8}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"-1/24*(6*B*b^9*c^5*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 30*B*a*b^8*c^4*d*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 60*B*a^2*b^7*c^3*d^2*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 60*B*a^3*b^6*c^2*d^3*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 30*B*a^4*b^5*c*d^4*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 6*B*a^5*b^4*d^5*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*b^5*c^5*d^4*g^3*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*g^3*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*g^3*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*g^3*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*g^3*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*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 6*A*b^9*c^5*g^3*e^5 + 11*B*b^9*c^5*g^3*e^5 - 30*A*a*b^8*c^4*d*g^3*e^5 - 55*B*a*b^8*c^4*d*g^3*e^5 + 60*A*a^2*b^7*c^3*d^2*g^3*e^5 + 110*B*a^2*b^7*c^3*d^2*g^3*e^5 - 60*A*a^3*b^6*c^2*d^3*g^3*e^5 - 110*B*a^3*b^6*c^2*d^3*g^3*e^5 + 30*A*a^4*b^5*c*d^4*g^3*e^5 + 55*B*a^4*b^5*c*d^4*g^3*e^5 - 6*A*a^5*b^4*d^5*g^3*e^5 - 11*B*a^5*b^4*d^5*g^3*e^5 - 24*(b*x*e + a*e)*A*b^8*c^5*d*g^3*e^4/(d*x + c) - 38*(b*x*e + a*e)*B*b^8*c^5*d*g^3*e^4/(d*x + c) + 120*(b*x*e + a*e)*A*a*b^7*c^4*d^2*g^3*e^4/(d*x + c) + 190*(b*x*e + a*e)*B*a*b^7*c^4*d^2*g^3*e^4/(d*x + c) - 240*(b*x*e + a*e)*A*a^2*b^6*c^3*d^3*g^3*e^4/(d*x + c) - 380*(b*x*e + a*e)*B*a^2*b^6*c^3*d^3*g^3*e^4/(d*x + c) + 240*(b*x*e + a*e)*A*a^3*b^5*c^2*d^4*g^3*e^4/(d*x + c) + 380*(b*x*e + a*e)*B*a^3*b^5*c^2*d^4*g^3*e^4/(d*x + c) - 120*(b*x*e + a*e)*A*a^4*b^4*c*d^5*g^3*e^4/(d*x + c) - 190*(b*x*e + a*e)*B*a^4*b^4*c*d^5*g^3*e^4/(d*x + c) + 24*(b*x*e + a*e)*A*a^5*b^3*d^6*g^3*e^4/(d*x + c) + 38*(b*x*e + a*e)*B*a^5*b^3*d^6*g^3*e^4/(d*x + c) + 36*(b*x*e + a*e)^2*A*b^7*c^5*d^2*g^3*e^3/(d*x + c)^2 + 45*(b*x*e + a*e)^2*B*b^7*c^5*d^2*g^3*e^3/(d*x + c)^2 - 180*(b*x*e + a*e)^2*A*a*b^6*c^4*d^3*g^3*e^3/(d*x + c)^2 - 225*(b*x*e + a*e)^2*B*a*b^6*c^4*d^3*g^3*e^3/(d*x + c)^2 + 360*(b*x*e + a*e)^2*A*a^2*b^5*c^3*d^4*g^3*e^3/(d*x + c)^2 + 450*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*g^3*e^3/(d*x + c)^2 - 360*(b*x*e + a*e)^2*A*a^3*b^4*c^2*d^5*g^3*e^3/(d*x + c)^2 - 450*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*g^3*e^3/(d*x + c)^2 + 180*(b*x*e + a*e)^2*A*a^4*b^3*c*d^6*g^3*e^3/(d*x + c)^2 + 225*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*g^3*e^3/(d*x + c)^2 - 36*(b*x*e + a*e)^2*A*a^5*b^2*d^7*g^3*e^3/(d*x + c)^2 - 45*(b*x*e + a*e)^2*B*a^5*b^2*d^7*g^3*e^3/(d*x + c)^2 - 24*(b*x*e + a*e)^3*A*b^6*c^5*d^3*g^3*e^2/(d*x + c)^3 - 18*(b*x*e + a*e)^3*B*b^6*c^5*d^3*g^3*e^2/(d*x + c)^3 + 120*(b*x*e + a*e)^3*A*a*b^5*c^4*d^4*g^3*e^2/(d*x + c)^3 + 90*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*g^3*e^2/(d*x + c)^3 - 240*(b*x*e + a*e)^3*A*a^2*b^4*c^3*d^5*g^3*e^2/(d*x + c)^3 - 180*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*g^3*e^2/(d*x + c)^3 + 240*(b*x*e + a*e)^3*A*a^3*b^3*c^2*d^6*g^3*e^2/(d*x + c)^3 + 180*(b*x*e + a*e)^3*B*a^3*b^3*c^2*d^6*g^3*e^2/(d*x + c)^3 - 120*(b*x*e + a*e)^3*A*a^4*b^2*c*d^7*g^3*e^2/(d*x + c)^3 - 90*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*g^3*e^2/(d*x + c)^3 + 24*(b*x*e + a*e)^3*A*a^5*b*d^8*g^3*e^2/(d*x + c)^3 + 18*(b*x*e + a*e)^3*B*a^5*b*d^8*g^3*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^5*d^4*e^4 - 4*(b*x*e + a*e)*b^4*d^5*e^3/(d*x + c) + 6*(b*x*e + a*e)^2*b^3*d^6*e^2/(d*x + c)^2 - 4*(b*x*e + a*e)^3*b^2*d^7*e/(d*x + c)^3 + (b*x*e + a*e)^4*b*d^8/(d*x + c)^4)","B",0
90,1,2450,0,1.290160," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(2 \, B b^{7} c^{4} g^{2} 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 g^{2} 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} g^{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} g^{2} 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} g^{2} 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 g^{2} 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} g^{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} g^{2} 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} g^{2} 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} g^{2} 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} 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)}^{2}} - \frac{24 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{3} d^{3} 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)}^{2}} + \frac{36 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c^{2} 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)}^{2}} - \frac{24 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} c 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)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} B a^{4} b 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)}^{2}} - \frac{2 \, {\left(b x e + a e\right)}^{3} B b^{4} c^{4} d^{3} 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)}^{3}} + \frac{8 \, {\left(b x e + a e\right)}^{3} B a b^{3} c^{3} d^{4} 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)}^{3}} - \frac{12 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{2} c^{2} 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)}^{3}} + \frac{8 \, {\left(b x e + a e\right)}^{3} B a^{3} b c 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)}^{3}} - \frac{2 \, {\left(b x e + a e\right)}^{3} B a^{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)}^{3}} + \frac{2 \, {\left(b x e + a e\right)}^{3} B b^{4} c^{4} d^{3} g^{2} 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} g^{2} 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} g^{2} 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} g^{2} 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} g^{2} 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} g^{2} e^{4} + 3 \, B b^{7} c^{4} g^{2} e^{4} - 8 \, A a b^{6} c^{3} d g^{2} e^{4} - 12 \, B a b^{6} c^{3} d g^{2} e^{4} + 12 \, A a^{2} b^{5} c^{2} d^{2} g^{2} e^{4} + 18 \, B a^{2} b^{5} c^{2} d^{2} g^{2} e^{4} - 8 \, A a^{3} b^{4} c d^{3} g^{2} e^{4} - 12 \, B a^{3} b^{4} c d^{3} g^{2} e^{4} + 2 \, A a^{4} b^{3} d^{4} g^{2} e^{4} + 3 \, B a^{4} b^{3} d^{4} g^{2} e^{4} - \frac{6 \, {\left(b x e + a e\right)} A b^{6} c^{4} d g^{2} e^{3}}{d x + c} - \frac{7 \, {\left(b x e + a e\right)} B b^{6} c^{4} d g^{2} e^{3}}{d x + c} + \frac{24 \, {\left(b x e + a e\right)} A a b^{5} c^{3} d^{2} g^{2} e^{3}}{d x + c} + \frac{28 \, {\left(b x e + a e\right)} B a b^{5} c^{3} d^{2} g^{2} e^{3}}{d x + c} - \frac{36 \, {\left(b x e + a e\right)} A a^{2} b^{4} c^{2} d^{3} g^{2} e^{3}}{d x + c} - \frac{42 \, {\left(b x e + a e\right)} B a^{2} b^{4} c^{2} d^{3} g^{2} e^{3}}{d x + c} + \frac{24 \, {\left(b x e + a e\right)} A a^{3} b^{3} c d^{4} g^{2} e^{3}}{d x + c} + \frac{28 \, {\left(b x e + a e\right)} B a^{3} b^{3} c d^{4} g^{2} e^{3}}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} A a^{4} b^{2} d^{5} g^{2} e^{3}}{d x + c} - \frac{7 \, {\left(b x e + a e\right)} B a^{4} b^{2} d^{5} g^{2} e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)}^{2} A b^{5} c^{4} d^{2} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{4} d^{2} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x e + a e\right)}^{2} A a b^{4} c^{3} d^{3} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{16 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{3} d^{3} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{3} c^{2} d^{4} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{24 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c^{2} d^{4} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{2} c d^{5} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{16 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} c d^{5} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} A a^{4} b d^{6} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x e + a e\right)}^{2} B a^{4} b d^{6} g^{2} 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^{4} d^{3} e^{3} - \frac{3 \, {\left(b x e + a e\right)} b^{3} d^{4} e^{2}}{d x + c} + \frac{3 \, {\left(b x e + a e\right)}^{2} b^{2} d^{5} e}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{3} b d^{6}}{{\left(d x + c\right)}^{3}}\right)}}"," ",0,"1/6*(2*B*b^7*c^4*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 8*B*a*b^6*c^3*d*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 12*B*a^2*b^5*c^2*d^2*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 8*B*a^3*b^4*c*d^3*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 2*B*a^4*b^3*d^4*g^2*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*g^2*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*g^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*g^2*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*g^2*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*g^2*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*g^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*g^2*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*g^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^3*b^2*c*d^5*g^2*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*g^2*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*g^2*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*g^2*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*g^2*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*g^2*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*g^2*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*b^4*c^4*d^3*g^2*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*g^2*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*g^2*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*g^2*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*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 2*A*b^7*c^4*g^2*e^4 + 3*B*b^7*c^4*g^2*e^4 - 8*A*a*b^6*c^3*d*g^2*e^4 - 12*B*a*b^6*c^3*d*g^2*e^4 + 12*A*a^2*b^5*c^2*d^2*g^2*e^4 + 18*B*a^2*b^5*c^2*d^2*g^2*e^4 - 8*A*a^3*b^4*c*d^3*g^2*e^4 - 12*B*a^3*b^4*c*d^3*g^2*e^4 + 2*A*a^4*b^3*d^4*g^2*e^4 + 3*B*a^4*b^3*d^4*g^2*e^4 - 6*(b*x*e + a*e)*A*b^6*c^4*d*g^2*e^3/(d*x + c) - 7*(b*x*e + a*e)*B*b^6*c^4*d*g^2*e^3/(d*x + c) + 24*(b*x*e + a*e)*A*a*b^5*c^3*d^2*g^2*e^3/(d*x + c) + 28*(b*x*e + a*e)*B*a*b^5*c^3*d^2*g^2*e^3/(d*x + c) - 36*(b*x*e + a*e)*A*a^2*b^4*c^2*d^3*g^2*e^3/(d*x + c) - 42*(b*x*e + a*e)*B*a^2*b^4*c^2*d^3*g^2*e^3/(d*x + c) + 24*(b*x*e + a*e)*A*a^3*b^3*c*d^4*g^2*e^3/(d*x + c) + 28*(b*x*e + a*e)*B*a^3*b^3*c*d^4*g^2*e^3/(d*x + c) - 6*(b*x*e + a*e)*A*a^4*b^2*d^5*g^2*e^3/(d*x + c) - 7*(b*x*e + a*e)*B*a^4*b^2*d^5*g^2*e^3/(d*x + c) + 6*(b*x*e + a*e)^2*A*b^5*c^4*d^2*g^2*e^2/(d*x + c)^2 + 4*(b*x*e + a*e)^2*B*b^5*c^4*d^2*g^2*e^2/(d*x + c)^2 - 24*(b*x*e + a*e)^2*A*a*b^4*c^3*d^3*g^2*e^2/(d*x + c)^2 - 16*(b*x*e + a*e)^2*B*a*b^4*c^3*d^3*g^2*e^2/(d*x + c)^2 + 36*(b*x*e + a*e)^2*A*a^2*b^3*c^2*d^4*g^2*e^2/(d*x + c)^2 + 24*(b*x*e + a*e)^2*B*a^2*b^3*c^2*d^4*g^2*e^2/(d*x + c)^2 - 24*(b*x*e + a*e)^2*A*a^3*b^2*c*d^5*g^2*e^2/(d*x + c)^2 - 16*(b*x*e + a*e)^2*B*a^3*b^2*c*d^5*g^2*e^2/(d*x + c)^2 + 6*(b*x*e + a*e)^2*A*a^4*b*d^6*g^2*e^2/(d*x + c)^2 + 4*(b*x*e + a*e)^2*B*a^4*b*d^6*g^2*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^4*d^3*e^3 - 3*(b*x*e + a*e)*b^3*d^4*e^2/(d*x + c) + 3*(b*x*e + a*e)^2*b^2*d^5*e/(d*x + c)^2 - (b*x*e + a*e)^3*b*d^6/(d*x + c)^3)","B",0
91,1,1319,0,0.966322," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","-\frac{{\left(B b^{5} c^{3} g 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 g 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} g 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} g 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 g 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} g 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} g 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} g 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} g 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} g 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} g 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} g 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 b^{3} c^{3} d^{2} g 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} g 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} g 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} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + A b^{5} c^{3} g e^{3} + B b^{5} c^{3} g e^{3} - 3 \, A a b^{4} c^{2} d g e^{3} - 3 \, B a b^{4} c^{2} d g e^{3} + 3 \, A a^{2} b^{3} c d^{2} g e^{3} + 3 \, B a^{2} b^{3} c d^{2} g e^{3} - A a^{3} b^{2} d^{3} g e^{3} - B a^{3} b^{2} d^{3} g e^{3} - \frac{2 \, {\left(b x e + a e\right)} A b^{4} c^{3} d g e^{2}}{d x + c} - \frac{{\left(b x e + a e\right)} B b^{4} c^{3} d g e^{2}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} A a b^{3} c^{2} d^{2} g e^{2}}{d x + c} + \frac{3 \, {\left(b x e + a e\right)} B a b^{3} c^{2} d^{2} g e^{2}}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} A a^{2} b^{2} c d^{3} g e^{2}}{d x + c} - \frac{3 \, {\left(b x e + a e\right)} B a^{2} b^{2} c d^{3} g e^{2}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} A a^{3} b d^{4} g e^{2}}{d x + c} + \frac{{\left(b x e + a e\right)} B a^{3} b d^{4} g 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^{3} d^{2} e^{2} - \frac{2 \, {\left(b x e + a e\right)} b^{2} d^{3} e}{d x + c} + \frac{{\left(b x e + a e\right)}^{2} b d^{4}}{{\left(d x + c\right)}^{2}}\right)}}"," ",0,"-1/2*(B*b^5*c^3*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 3*B*a*b^4*c^2*d*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 3*B*a^2*b^3*c*d^2*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - B*a^3*b^2*d^3*g*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*g*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*g*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*g*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*g*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*g*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*g*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*g*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*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^2*B*b^3*c^3*d^2*g*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*g*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*g*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*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + A*b^5*c^3*g*e^3 + B*b^5*c^3*g*e^3 - 3*A*a*b^4*c^2*d*g*e^3 - 3*B*a*b^4*c^2*d*g*e^3 + 3*A*a^2*b^3*c*d^2*g*e^3 + 3*B*a^2*b^3*c*d^2*g*e^3 - A*a^3*b^2*d^3*g*e^3 - B*a^3*b^2*d^3*g*e^3 - 2*(b*x*e + a*e)*A*b^4*c^3*d*g*e^2/(d*x + c) - (b*x*e + a*e)*B*b^4*c^3*d*g*e^2/(d*x + c) + 6*(b*x*e + a*e)*A*a*b^3*c^2*d^2*g*e^2/(d*x + c) + 3*(b*x*e + a*e)*B*a*b^3*c^2*d^2*g*e^2/(d*x + c) - 6*(b*x*e + a*e)*A*a^2*b^2*c*d^3*g*e^2/(d*x + c) - 3*(b*x*e + a*e)*B*a^2*b^2*c*d^3*g*e^2/(d*x + c) + 2*(b*x*e + a*e)*A*a^3*b*d^4*g*e^2/(d*x + c) + (b*x*e + a*e)*B*a^3*b*d^4*g*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^3*d^2*e^2 - 2*(b*x*e + a*e)*b^2*d^3*e/(d*x + c) + (b*x*e + a*e)^2*b*d^4/(d*x + c)^2)","B",0
92,-1,0,0,0.000000," ","integrate((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
93,1,110,0,1.300017," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^2,x, algorithm=""giac"")","-\frac{{\left(B e^{2} \log\left(\frac{b x e + a e}{d x + c}\right) + A e^{2} + B e^{2}\right)} {\left(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)}}{{\left(b x e + a e\right)} g^{2}}"," ",0,"-(B*e^2*log((b*x*e + a*e)/(d*x + c)) + A*e^2 + B*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*x*e + a*e)*g^2)","A",0
94,1,237,0,1.686177," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^3,x, algorithm=""giac"")","-\frac{{\left(2 \, B b e^{3} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{4 \, {\left(b x e + a e\right)} B d e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + 2 \, A b e^{3} + B b e^{3} - \frac{4 \, {\left(b x e + a e\right)} A d e^{2}}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B d 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)}}{4 \, {\left(\frac{{\left(b x e + a e\right)}^{2} b c g^{3}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} a d g^{3}}{{\left(d x + c\right)}^{2}}\right)}}"," ",0,"-1/4*(2*B*b*e^3*log((b*x*e + a*e)/(d*x + c)) - 4*(b*x*e + a*e)*B*d*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 2*A*b*e^3 + B*b*e^3 - 4*(b*x*e + a*e)*A*d*e^2/(d*x + c) - 4*(b*x*e + a*e)*B*d*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*x*e + a*e)^2*b*c*g^3/(d*x + c)^2 - (b*x*e + a*e)^2*a*d*g^3/(d*x + c)^2)","A",0
95,1,382,0,2.131407," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{{\left(6 \, B b^{2} e^{4} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{18 \, {\left(b x e + a e\right)} B b d e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{18 \, {\left(b x e + a e\right)}^{2} B d^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + 6 \, A b^{2} e^{4} + 2 \, B b^{2} e^{4} - \frac{18 \, {\left(b x e + a e\right)} A b d e^{3}}{d x + c} - \frac{9 \, {\left(b x e + a e\right)} B b d e^{3}}{d x + c} + \frac{18 \, {\left(b x e + a e\right)}^{2} A d^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{18 \, {\left(b x e + a e\right)}^{2} B d^{2} 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)}}{18 \, {\left(\frac{{\left(b x e + a e\right)}^{3} b^{2} c^{2} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x e + a e\right)}^{3} a b c d g^{4}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x e + a e\right)}^{3} a^{2} d^{2} g^{4}}{{\left(d x + c\right)}^{3}}\right)}}"," ",0,"-1/18*(6*B*b^2*e^4*log((b*x*e + a*e)/(d*x + c)) - 18*(b*x*e + a*e)*B*b*d*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 18*(b*x*e + a*e)^2*B*d^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 6*A*b^2*e^4 + 2*B*b^2*e^4 - 18*(b*x*e + a*e)*A*b*d*e^3/(d*x + c) - 9*(b*x*e + a*e)*B*b*d*e^3/(d*x + c) + 18*(b*x*e + a*e)^2*A*d^2*e^2/(d*x + c)^2 + 18*(b*x*e + a*e)^2*B*d^2*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*x*e + a*e)^3*b^2*c^2*g^4/(d*x + c)^3 - 2*(b*x*e + a*e)^3*a*b*c*d*g^4/(d*x + c)^3 + (b*x*e + a*e)^3*a^2*d^2*g^4/(d*x + c)^3)","B",0
96,1,528,0,2.043429," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^5,x, algorithm=""giac"")","-\frac{{\left(12 \, B b^{3} e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{48 \, {\left(b x e + a e\right)} B b^{2} d 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 b d^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{48 \, {\left(b x e + a e\right)}^{3} B d^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + 12 \, A b^{3} e^{5} + 3 \, B b^{3} e^{5} - \frac{48 \, {\left(b x e + a e\right)} A b^{2} d e^{4}}{d x + c} - \frac{16 \, {\left(b x e + a e\right)} B b^{2} d e^{4}}{d x + c} + \frac{72 \, {\left(b x e + a e\right)}^{2} A b d^{2} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x e + a e\right)}^{2} B b d^{2} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{48 \, {\left(b x e + a e\right)}^{3} A d^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{48 \, {\left(b x e + a e\right)}^{3} B d^{3} 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)}}{48 \, {\left(\frac{{\left(b x e + a e\right)}^{4} b^{3} c^{3} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{3 \, {\left(b x e + a e\right)}^{4} a b^{2} c^{2} d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{3 \, {\left(b x e + a e\right)}^{4} a^{2} b c d^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x e + a e\right)}^{4} a^{3} d^{3} g^{5}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"-1/48*(12*B*b^3*e^5*log((b*x*e + a*e)/(d*x + c)) - 48*(b*x*e + a*e)*B*b^2*d*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 72*(b*x*e + a*e)^2*B*b*d^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 48*(b*x*e + a*e)^3*B*d^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 12*A*b^3*e^5 + 3*B*b^3*e^5 - 48*(b*x*e + a*e)*A*b^2*d*e^4/(d*x + c) - 16*(b*x*e + a*e)*B*b^2*d*e^4/(d*x + c) + 72*(b*x*e + a*e)^2*A*b*d^2*e^3/(d*x + c)^2 + 36*(b*x*e + a*e)^2*B*b*d^2*e^3/(d*x + c)^2 - 48*(b*x*e + a*e)^3*A*d^3*e^2/(d*x + c)^3 - 48*(b*x*e + a*e)^3*B*d^3*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*x*e + a*e)^4*b^3*c^3*g^5/(d*x + c)^4 - 3*(b*x*e + a*e)^4*a*b^2*c^2*d*g^5/(d*x + c)^4 + 3*(b*x*e + a*e)^4*a^2*b*c*d^2*g^5/(d*x + c)^4 - (b*x*e + a*e)^4*a^3*d^3*g^5/(d*x + c)^4)","B",0
97,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^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)*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate((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
102,1,176,0,2.075945," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","-\frac{{\left(B^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} + 2 \, A B e^{2} \log\left(\frac{b x e + a e}{d x + c}\right) + 2 \, B^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right) + A^{2} e^{2} + 2 \, A B e^{2} + 2 \, B^{2} e^{2}\right)} {\left(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)}}{{\left(b x e + a e\right)} g^{2}}"," ",0,"-(B^2*e^2*log((b*x*e + a*e)/(d*x + c))^2 + 2*A*B*e^2*log((b*x*e + a*e)/(d*x + c)) + 2*B^2*e^2*log((b*x*e + a*e)/(d*x + c)) + A^2*e^2 + 2*A*B*e^2 + 2*B^2*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*x*e + a*e)*g^2)","A",0
103,1,424,0,1.753029," ","integrate((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} b e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)^{2} - \frac{4 \, {\left(b x e + a e\right)} B^{2} d e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + 4 \, A B b e^{3} \log\left(\frac{b x e + a e}{d x + c}\right) + 2 \, B^{2} b e^{3} \log\left(\frac{b x e + a e}{d x + c}\right) - \frac{8 \, {\left(b x e + a e\right)} A B d e^{2} \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} d e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + 2 \, A^{2} b e^{3} + 2 \, A B b e^{3} + B^{2} b e^{3} - \frac{4 \, {\left(b x e + a e\right)} A^{2} d e^{2}}{d x + c} - \frac{8 \, {\left(b x e + a e\right)} A B d e^{2}}{d x + c} - \frac{8 \, {\left(b x e + a e\right)} B^{2} d 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)}}{4 \, {\left(\frac{{\left(b x e + a e\right)}^{2} b c g^{3}}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} a d g^{3}}{{\left(d x + c\right)}^{2}}\right)}}"," ",0,"-1/4*(2*B^2*b*e^3*log((b*x*e + a*e)/(d*x + c))^2 - 4*(b*x*e + a*e)*B^2*d*e^2*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 4*A*B*b*e^3*log((b*x*e + a*e)/(d*x + c)) + 2*B^2*b*e^3*log((b*x*e + a*e)/(d*x + c)) - 8*(b*x*e + a*e)*A*B*d*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 8*(b*x*e + a*e)*B^2*d*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 2*A^2*b*e^3 + 2*A*B*b*e^3 + B^2*b*e^3 - 4*(b*x*e + a*e)*A^2*d*e^2/(d*x + c) - 8*(b*x*e + a*e)*A*B*d*e^2/(d*x + c) - 8*(b*x*e + a*e)*B^2*d*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*x*e + a*e)^2*b*c*g^3/(d*x + c)^2 - (b*x*e + a*e)^2*a*d*g^3/(d*x + c)^2)","A",0
104,1,709,0,1.887673," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{{\left(18 \, B^{2} b^{2} 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} b d e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{d x + c} + \frac{54 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{{\left(d x + c\right)}^{2}} + 36 \, A B b^{2} e^{4} \log\left(\frac{b x e + a e}{d x + c}\right) + 12 \, B^{2} b^{2} 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 b d 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} b d e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{108 \, {\left(b x e + a e\right)}^{2} A B d^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{108 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + 18 \, A^{2} b^{2} e^{4} + 12 \, A B b^{2} e^{4} + 4 \, B^{2} b^{2} e^{4} - \frac{54 \, {\left(b x e + a e\right)} A^{2} b d e^{3}}{d x + c} - \frac{54 \, {\left(b x e + a e\right)} A B b d e^{3}}{d x + c} - \frac{27 \, {\left(b x e + a e\right)} B^{2} b d e^{3}}{d x + c} + \frac{54 \, {\left(b x e + a e\right)}^{2} A^{2} d^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{108 \, {\left(b x e + a e\right)}^{2} A B d^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{108 \, {\left(b x e + a e\right)}^{2} B^{2} d^{2} 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)}}{54 \, {\left(\frac{{\left(b x e + a e\right)}^{3} b^{2} c^{2} g^{4}}{{\left(d x + c\right)}^{3}} - \frac{2 \, {\left(b x e + a e\right)}^{3} a b c d g^{4}}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x e + a e\right)}^{3} a^{2} d^{2} g^{4}}{{\left(d x + c\right)}^{3}}\right)}}"," ",0,"-1/54*(18*B^2*b^2*e^4*log((b*x*e + a*e)/(d*x + c))^2 - 54*(b*x*e + a*e)*B^2*b*d*e^3*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 54*(b*x*e + a*e)^2*B^2*d^2*e^2*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c)^2 + 36*A*B*b^2*e^4*log((b*x*e + a*e)/(d*x + c)) + 12*B^2*b^2*e^4*log((b*x*e + a*e)/(d*x + c)) - 108*(b*x*e + a*e)*A*B*b*d*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 54*(b*x*e + a*e)*B^2*b*d*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 108*(b*x*e + a*e)^2*A*B*d^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 108*(b*x*e + a*e)^2*B^2*d^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 18*A^2*b^2*e^4 + 12*A*B*b^2*e^4 + 4*B^2*b^2*e^4 - 54*(b*x*e + a*e)*A^2*b*d*e^3/(d*x + c) - 54*(b*x*e + a*e)*A*B*b*d*e^3/(d*x + c) - 27*(b*x*e + a*e)*B^2*b*d*e^3/(d*x + c) + 54*(b*x*e + a*e)^2*A^2*d^2*e^2/(d*x + c)^2 + 108*(b*x*e + a*e)^2*A*B*d^2*e^2/(d*x + c)^2 + 108*(b*x*e + a*e)^2*B^2*d^2*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*x*e + a*e)^3*b^2*c^2*g^4/(d*x + c)^3 - 2*(b*x*e + a*e)^3*a*b*c*d*g^4/(d*x + c)^3 + (b*x*e + a*e)^3*a^2*d^2*g^4/(d*x + c)^3)","A",0
105,1,995,0,2.231779," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^5,x, algorithm=""giac"")","-\frac{{\left(72 \, B^{2} b^{3} 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} b^{2} d 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} b d^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{{\left(d x + c\right)}^{2}} - \frac{288 \, {\left(b x e + a e\right)}^{3} B^{2} d^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)^{2}}{{\left(d x + c\right)}^{3}} + 144 \, A B b^{3} e^{5} \log\left(\frac{b x e + a e}{d x + c}\right) + 36 \, B^{2} b^{3} 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 b^{2} 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} b^{2} d 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 b d^{2} 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} b d^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{576 \, {\left(b x e + a e\right)}^{3} A B d^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{576 \, {\left(b x e + a e\right)}^{3} B^{2} d^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + 72 \, A^{2} b^{3} e^{5} + 36 \, A B b^{3} e^{5} + 9 \, B^{2} b^{3} e^{5} - \frac{288 \, {\left(b x e + a e\right)} A^{2} b^{2} d e^{4}}{d x + c} - \frac{192 \, {\left(b x e + a e\right)} A B b^{2} d e^{4}}{d x + c} - \frac{64 \, {\left(b x e + a e\right)} B^{2} b^{2} d e^{4}}{d x + c} + \frac{432 \, {\left(b x e + a e\right)}^{2} A^{2} b d^{2} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{432 \, {\left(b x e + a e\right)}^{2} A B b d^{2} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{216 \, {\left(b x e + a e\right)}^{2} B^{2} b d^{2} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{288 \, {\left(b x e + a e\right)}^{3} A^{2} d^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{576 \, {\left(b x e + a e\right)}^{3} A B d^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{576 \, {\left(b x e + a e\right)}^{3} B^{2} d^{3} 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)}}{288 \, {\left(\frac{{\left(b x e + a e\right)}^{4} b^{3} c^{3} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{3 \, {\left(b x e + a e\right)}^{4} a b^{2} c^{2} d g^{5}}{{\left(d x + c\right)}^{4}} + \frac{3 \, {\left(b x e + a e\right)}^{4} a^{2} b c d^{2} g^{5}}{{\left(d x + c\right)}^{4}} - \frac{{\left(b x e + a e\right)}^{4} a^{3} d^{3} g^{5}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"-1/288*(72*B^2*b^3*e^5*log((b*x*e + a*e)/(d*x + c))^2 - 288*(b*x*e + a*e)*B^2*b^2*d*e^4*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c) + 432*(b*x*e + a*e)^2*B^2*b*d^2*e^3*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c)^2 - 288*(b*x*e + a*e)^3*B^2*d^3*e^2*log((b*x*e + a*e)/(d*x + c))^2/(d*x + c)^3 + 144*A*B*b^3*e^5*log((b*x*e + a*e)/(d*x + c)) + 36*B^2*b^3*e^5*log((b*x*e + a*e)/(d*x + c)) - 576*(b*x*e + a*e)*A*B*b^2*d*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 192*(b*x*e + a*e)*B^2*b^2*d*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 864*(b*x*e + a*e)^2*A*B*b*d^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 432*(b*x*e + a*e)^2*B^2*b*d^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 576*(b*x*e + a*e)^3*A*B*d^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 576*(b*x*e + a*e)^3*B^2*d^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 72*A^2*b^3*e^5 + 36*A*B*b^3*e^5 + 9*B^2*b^3*e^5 - 288*(b*x*e + a*e)*A^2*b^2*d*e^4/(d*x + c) - 192*(b*x*e + a*e)*A*B*b^2*d*e^4/(d*x + c) - 64*(b*x*e + a*e)*B^2*b^2*d*e^4/(d*x + c) + 432*(b*x*e + a*e)^2*A^2*b*d^2*e^3/(d*x + c)^2 + 432*(b*x*e + a*e)^2*A*B*b*d^2*e^3/(d*x + c)^2 + 216*(b*x*e + a*e)^2*B^2*b*d^2*e^3/(d*x + c)^2 - 288*(b*x*e + a*e)^3*A^2*d^3*e^2/(d*x + c)^3 - 576*(b*x*e + a*e)^3*A*B*d^3*e^2/(d*x + c)^3 - 576*(b*x*e + a*e)^3*B^2*d^3*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*x*e + a*e)^4*b^3*c^3*g^5/(d*x + c)^4 - 3*(b*x*e + a*e)^4*a*b^2*c^2*d*g^5/(d*x + c)^4 + 3*(b*x*e + a*e)^4*a^2*b*c*d^2*g^5/(d*x + c)^4 - (b*x*e + a*e)^4*a^3*d^3*g^5/(d*x + c)^4)","A",0
106,-1,0,0,0.000000," ","integrate(log(d*(b*x+a)/b/(d*x+c))/(d*f*x+c*f),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
107,1,320,0,39.245050," ","integrate(log(1+1/(b*x+a))/(b*x+a),x, algorithm=""giac"")","\frac{1}{2} \, {\left({\left(a + 1\right)} b - a b\right)}^{2} {\left(\frac{\log\left(\frac{{\left| b x + a + 1 \right|}}{{\left| b x + a \right|}}\right)}{b^{4}} - \frac{\log\left({\left| \frac{b x + a + 1}{b x + a} - 1 \right|}\right)}{b^{4}} - \frac{1}{b^{4} {\left(\frac{b x + a + 1}{b x + a} - 1\right)}} - \frac{\log\left(\frac{1}{a - \frac{{\left(\frac{{\left(a - \frac{{\left(\frac{{\left(b x + a + 1\right)} a}{b x + a} - a - 1\right)} b}{\frac{{\left(b x + a + 1\right)} b}{b x + a} - b} + 1\right)} a}{a - \frac{{\left(\frac{{\left(b x + a + 1\right)} a}{b x + a} - a - 1\right)} b}{\frac{{\left(b x + a + 1\right)} b}{b x + a} - b}} - a - 1\right)} b}{\frac{{\left(a - \frac{{\left(\frac{{\left(b x + a + 1\right)} a}{b x + a} - a - 1\right)} b}{\frac{{\left(b x + a + 1\right)} b}{b x + a} - b} + 1\right)} b}{a - \frac{{\left(\frac{{\left(b x + a + 1\right)} a}{b x + a} - a - 1\right)} b}{\frac{{\left(b x + a + 1\right)} b}{b x + a} - b}} - b}} + 1\right)}{b^{4} {\left(\frac{b x + a + 1}{b x + a} - 1\right)}^{2}}\right)}"," ",0,"1/2*((a + 1)*b - a*b)^2*(log(abs(b*x + a + 1)/abs(b*x + a))/b^4 - log(abs((b*x + a + 1)/(b*x + a) - 1))/b^4 - 1/(b^4*((b*x + a + 1)/(b*x + a) - 1)) - log(1/(a - ((a - ((b*x + a + 1)*a/(b*x + a) - a - 1)*b/((b*x + a + 1)*b/(b*x + a) - b) + 1)*a/(a - ((b*x + a + 1)*a/(b*x + a) - a - 1)*b/((b*x + a + 1)*b/(b*x + a) - b)) - a - 1)*b/((a - ((b*x + a + 1)*a/(b*x + a) - a - 1)*b/((b*x + a + 1)*b/(b*x + a) - b) + 1)*b/(a - ((b*x + a + 1)*a/(b*x + a) - a - 1)*b/((b*x + a + 1)*b/(b*x + a) - b)) - b)) + 1)/(b^4*((b*x + a + 1)/(b*x + a) - 1)^2))","B",0
108,1,322,0,30.471151," ","integrate(log(1-1/(b*x+a))/(b*x+a),x, algorithm=""giac"")","-\frac{1}{2} \, {\left({\left(a - 1\right)} b - a b\right)}^{2} {\left(\frac{\log\left(\frac{{\left| b x + a - 1 \right|}}{{\left| b x + a \right|}}\right)}{b^{4}} - \frac{\log\left({\left| \frac{b x + a - 1}{b x + a} - 1 \right|}\right)}{b^{4}} - \frac{1}{b^{4} {\left(\frac{b x + a - 1}{b x + a} - 1\right)}} - \frac{\log\left(-\frac{1}{a - \frac{{\left(\frac{{\left(a - \frac{{\left(\frac{{\left(b x + a - 1\right)} a}{b x + a} - a + 1\right)} b}{\frac{{\left(b x + a - 1\right)} b}{b x + a} - b} - 1\right)} a}{a - \frac{{\left(\frac{{\left(b x + a - 1\right)} a}{b x + a} - a + 1\right)} b}{\frac{{\left(b x + a - 1\right)} b}{b x + a} - b}} - a + 1\right)} b}{\frac{{\left(a - \frac{{\left(\frac{{\left(b x + a - 1\right)} a}{b x + a} - a + 1\right)} b}{\frac{{\left(b x + a - 1\right)} b}{b x + a} - b} - 1\right)} b}{a - \frac{{\left(\frac{{\left(b x + a - 1\right)} a}{b x + a} - a + 1\right)} b}{\frac{{\left(b x + a - 1\right)} b}{b x + a} - b}} - b}} + 1\right)}{b^{4} {\left(\frac{b x + a - 1}{b x + a} - 1\right)}^{2}}\right)}"," ",0,"-1/2*((a - 1)*b - a*b)^2*(log(abs(b*x + a - 1)/abs(b*x + a))/b^4 - log(abs((b*x + a - 1)/(b*x + a) - 1))/b^4 - 1/(b^4*((b*x + a - 1)/(b*x + a) - 1)) - log(-1/(a - ((a - ((b*x + a - 1)*a/(b*x + a) - a + 1)*b/((b*x + a - 1)*b/(b*x + a) - b) - 1)*a/(a - ((b*x + a - 1)*a/(b*x + a) - a + 1)*b/((b*x + a - 1)*b/(b*x + a) - b)) - a + 1)*b/((a - ((b*x + a - 1)*a/(b*x + a) - a + 1)*b/((b*x + a - 1)*b/(b*x + a) - b) - 1)*b/(a - ((b*x + a - 1)*a/(b*x + a) - a + 1)*b/((b*x + a - 1)*b/(b*x + a) - b)) - b)) + 1)/(b^4*((b*x + a - 1)/(b*x + a) - 1)^2))","B",0
109,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
110,-1,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
111,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
114,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
115,-1,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
116,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)} {\left(B \log\left(\frac{{\left(b x + a\right)} e}{d x + c}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)*(B*log((b*x + a)*e/(d*x + c)) + A)^2), x)","F",0
117,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{2} {\left(B \log\left(\frac{{\left(b x + a\right)} e}{d x + c}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^2*(B*log((b*x + a)*e/(d*x + c)) + A)^2), x)","F",0
118,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{3} {\left(B \log\left(\frac{{\left(b x + a\right)} e}{d x + c}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^3*(B*log((b*x + a)*e/(d*x + c)) + A)^2), x)","F",0
119,1,496,0,72.969174," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\frac{2 \, B a^{5} g^{4} \log\left(b x + a\right)}{5 \, b} + \frac{1}{5} \, {\left(A b^{4} g^{4} + B b^{4} g^{4}\right)} x^{5} - \frac{{\left(B b^{4} c g^{4} - 10 \, A a b^{3} d g^{4} - 11 \, B a b^{3} d g^{4}\right)} x^{4}}{10 \, d} + \frac{2 \, {\left(B b^{4} c^{2} g^{4} - 5 \, B a b^{3} c d g^{4} + 15 \, A a^{2} b^{2} d^{2} g^{4} + 19 \, B a^{2} b^{2} d^{2} g^{4}\right)} x^{3}}{15 \, d^{2}} + \frac{1}{5} \, {\left(B b^{4} g^{4} x^{5} + 5 \, B a b^{3} g^{4} x^{4} + 10 \, B a^{2} b^{2} g^{4} x^{3} + 10 \, B a^{3} b g^{4} x^{2} + 5 \, B a^{4} g^{4} x\right)} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) - \frac{{\left(B b^{4} c^{3} g^{4} - 5 \, B a b^{3} c^{2} d g^{4} + 10 \, B a^{2} b^{2} c d^{2} g^{4} - 10 \, A a^{3} b d^{3} g^{4} - 16 \, B a^{3} b d^{3} g^{4}\right)} x^{2}}{5 \, d^{3}} + \frac{{\left(2 \, B b^{4} c^{4} g^{4} - 10 \, B a b^{3} c^{3} d g^{4} + 20 \, B a^{2} b^{2} c^{2} d^{2} g^{4} - 20 \, B a^{3} b c d^{3} g^{4} + 5 \, A a^{4} d^{4} g^{4} + 13 \, B a^{4} d^{4} g^{4}\right)} x}{5 \, d^{4}} - \frac{2 \, {\left(B b^{4} c^{5} g^{4} - 5 \, B a b^{3} c^{4} d g^{4} + 10 \, B a^{2} b^{2} c^{3} d^{2} g^{4} - 10 \, B a^{3} b c^{2} d^{3} g^{4} + 5 \, B a^{4} c d^{4} g^{4}\right)} \log\left(-d x - c\right)}{5 \, d^{5}}"," ",0,"2/5*B*a^5*g^4*log(b*x + a)/b + 1/5*(A*b^4*g^4 + B*b^4*g^4)*x^5 - 1/10*(B*b^4*c*g^4 - 10*A*a*b^3*d*g^4 - 11*B*a*b^3*d*g^4)*x^4/d + 2/15*(B*b^4*c^2*g^4 - 5*B*a*b^3*c*d*g^4 + 15*A*a^2*b^2*d^2*g^4 + 19*B*a^2*b^2*d^2*g^4)*x^3/d^2 + 1/5*(B*b^4*g^4*x^5 + 5*B*a*b^3*g^4*x^4 + 10*B*a^2*b^2*g^4*x^3 + 10*B*a^3*b*g^4*x^2 + 5*B*a^4*g^4*x)*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2)) - 1/5*(B*b^4*c^3*g^4 - 5*B*a*b^3*c^2*d*g^4 + 10*B*a^2*b^2*c*d^2*g^4 - 10*A*a^3*b*d^3*g^4 - 16*B*a^3*b*d^3*g^4)*x^2/d^3 + 1/5*(2*B*b^4*c^4*g^4 - 10*B*a*b^3*c^3*d*g^4 + 20*B*a^2*b^2*c^2*d^2*g^4 - 20*B*a^3*b*c*d^3*g^4 + 5*A*a^4*d^4*g^4 + 13*B*a^4*d^4*g^4)*x/d^4 - 2/5*(B*b^4*c^5*g^4 - 5*B*a*b^3*c^4*d*g^4 + 10*B*a^2*b^2*c^3*d^2*g^4 - 10*B*a^3*b*c^2*d^3*g^4 + 5*B*a^4*c*d^4*g^4)*log(-d*x - c)/d^5","B",0
120,1,361,0,17.614650," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\frac{B a^{4} g^{3} \log\left(b x + a\right)}{2 \, b} + \frac{1}{4} \, {\left(A b^{3} g^{3} + B b^{3} g^{3}\right)} x^{4} - \frac{{\left(B b^{3} c g^{3} - 6 \, A a b^{2} d g^{3} - 7 \, B a b^{2} d g^{3}\right)} x^{3}}{6 \, d} + \frac{1}{4} \, {\left(B b^{3} g^{3} x^{4} + 4 \, B a b^{2} g^{3} x^{3} + 6 \, B a^{2} b g^{3} x^{2} + 4 \, B a^{3} g^{3} x\right)} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + \frac{{\left(B b^{3} c^{2} g^{3} - 4 \, B a b^{2} c d g^{3} + 6 \, A a^{2} b d^{2} g^{3} + 9 \, B a^{2} b d^{2} g^{3}\right)} x^{2}}{4 \, d^{2}} - \frac{{\left(B b^{3} c^{3} g^{3} - 4 \, B a b^{2} c^{2} d g^{3} + 6 \, B a^{2} b c d^{2} g^{3} - 2 \, A a^{3} d^{3} g^{3} - 5 \, B a^{3} d^{3} g^{3}\right)} x}{2 \, d^{3}} + \frac{{\left(B b^{3} c^{4} g^{3} - 4 \, B a b^{2} c^{3} d g^{3} + 6 \, B a^{2} b c^{2} d^{2} g^{3} - 4 \, B a^{3} c d^{3} g^{3}\right)} \log\left(d x + c\right)}{2 \, d^{4}}"," ",0,"1/2*B*a^4*g^3*log(b*x + a)/b + 1/4*(A*b^3*g^3 + B*b^3*g^3)*x^4 - 1/6*(B*b^3*c*g^3 - 6*A*a*b^2*d*g^3 - 7*B*a*b^2*d*g^3)*x^3/d + 1/4*(B*b^3*g^3*x^4 + 4*B*a*b^2*g^3*x^3 + 6*B*a^2*b*g^3*x^2 + 4*B*a^3*g^3*x)*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2)) + 1/4*(B*b^3*c^2*g^3 - 4*B*a*b^2*c*d*g^3 + 6*A*a^2*b*d^2*g^3 + 9*B*a^2*b*d^2*g^3)*x^2/d^2 - 1/2*(B*b^3*c^3*g^3 - 4*B*a*b^2*c^2*d*g^3 + 6*B*a^2*b*c*d^2*g^3 - 2*A*a^3*d^3*g^3 - 5*B*a^3*d^3*g^3)*x/d^3 + 1/2*(B*b^3*c^4*g^3 - 4*B*a*b^2*c^3*d*g^3 + 6*B*a^2*b*c^2*d^2*g^3 - 4*B*a^3*c*d^3*g^3)*log(d*x + c)/d^4","B",0
121,1,252,0,3.434479," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\frac{2 \, B a^{3} g^{2} \log\left(b x + a\right)}{3 \, b} + \frac{1}{3} \, {\left(A b^{2} g^{2} + B b^{2} g^{2}\right)} x^{3} - \frac{{\left(B b^{2} c g^{2} - 3 \, A a b d g^{2} - 4 \, B a b d g^{2}\right)} x^{2}}{3 \, d} + \frac{1}{3} \, {\left(B b^{2} g^{2} x^{3} + 3 \, B a b g^{2} x^{2} + 3 \, B a^{2} g^{2} x\right)} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + \frac{{\left(2 \, B b^{2} c^{2} g^{2} - 6 \, B a b c d g^{2} + 3 \, A a^{2} d^{2} g^{2} + 7 \, B a^{2} d^{2} g^{2}\right)} x}{3 \, d^{2}} - \frac{2 \, {\left(B b^{2} c^{3} g^{2} - 3 \, B a b c^{2} d g^{2} + 3 \, B a^{2} c d^{2} g^{2}\right)} \log\left(-d x - c\right)}{3 \, d^{3}}"," ",0,"2/3*B*a^3*g^2*log(b*x + a)/b + 1/3*(A*b^2*g^2 + B*b^2*g^2)*x^3 - 1/3*(B*b^2*c*g^2 - 3*A*a*b*d*g^2 - 4*B*a*b*d*g^2)*x^2/d + 1/3*(B*b^2*g^2*x^3 + 3*B*a*b*g^2*x^2 + 3*B*a^2*g^2*x)*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2)) + 1/3*(2*B*b^2*c^2*g^2 - 6*B*a*b*c*d*g^2 + 3*A*a^2*d^2*g^2 + 7*B*a^2*d^2*g^2)*x/d^2 - 2/3*(B*b^2*c^3*g^2 - 3*B*a*b*c^2*d*g^2 + 3*B*a^2*c*d^2*g^2)*log(-d*x - c)/d^3","B",0
122,1,131,0,0.843339," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\frac{B a^{2} g \log\left(b x + a\right)}{b} + \frac{1}{2} \, {\left(A b g + B b g\right)} x^{2} + \frac{1}{2} \, {\left(B b g x^{2} + 2 \, B a g x\right)} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) - \frac{{\left(B b c g - A a d g - 2 \, B a d g\right)} x}{d} + \frac{{\left(B b c^{2} g - 2 \, B a c d g\right)} \log\left(d x + c\right)}{d^{2}}"," ",0,"B*a^2*g*log(b*x + a)/b + 1/2*(A*b*g + B*b*g)*x^2 + 1/2*(B*b*g*x^2 + 2*B*a*g*x)*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2)) - (B*b*c*g - A*a*d*g - 2*B*a*d*g)*x/d + (B*b*c^2*g - 2*B*a*c*d*g)*log(d*x + c)/d^2","A",0
123,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g),x, algorithm=""giac"")","\int \frac{B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A}{b g x + a g}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)/(b*g*x + a*g), x)","F",0
124,1,188,0,0.454851," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^2,x, algorithm=""giac"")","{\left(2 \, {\left(b^{2} c g^{2} - a b d g^{2}\right)} {\left(\frac{d \log\left({\left| \frac{b c g}{b g x + a g} - \frac{a d g}{b g x + a g} + d \right|}\right)}{b^{4} c^{2} g^{4} - 2 \, a b^{3} c d g^{4} + a^{2} b^{2} d^{2} g^{4}} - \frac{1}{{\left(b^{2} c g^{2} - a b d g^{2}\right)} {\left(b g x + a g\right)} b g}\right)} - \frac{\log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right)}{{\left(b g x + a g\right)} b g}\right)} B - \frac{A}{{\left(b g x + a g\right)} b g}"," ",0,"(2*(b^2*c*g^2 - a*b*d*g^2)*(d*log(abs(b*c*g/(b*g*x + a*g) - a*d*g/(b*g*x + a*g) + d))/(b^4*c^2*g^4 - 2*a*b^3*c*d*g^4 + a^2*b^2*d^2*g^4) - 1/((b^2*c*g^2 - a*b*d*g^2)*(b*g*x + a*g)*b*g)) - log((b*x + a)^2*e/(d*x + c)^2)/((b*g*x + a*g)*b*g))*B - A/((b*g*x + a*g)*b*g)","B",0
125,1,264,0,0.299758," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^3,x, algorithm=""giac"")","\frac{B d^{2} \log\left(b x + a\right)}{b^{3} c^{2} g^{3} - 2 \, a b^{2} c d g^{3} + a^{2} b d^{2} g^{3}} - \frac{B d^{2} \log\left(d x + c\right)}{b^{3} c^{2} g^{3} - 2 \, a b^{2} c d g^{3} + a^{2} b d^{2} g^{3}} - \frac{B \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{2 \, {\left(b^{3} g^{3} x^{2} + 2 \, a b^{2} g^{3} x + a^{2} b g^{3}\right)}} + \frac{2 \, B b d x - A b c - 2 \, B b c + A a d + 4 \, B a d}{2 \, {\left(b^{4} c g^{3} x^{2} - a b^{3} d g^{3} x^{2} + 2 \, a b^{3} c g^{3} x - 2 \, a^{2} b^{2} d g^{3} x + a^{2} b^{2} c g^{3} - a^{3} b d g^{3}\right)}}"," ",0,"B*d^2*log(b*x + a)/(b^3*c^2*g^3 - 2*a*b^2*c*d*g^3 + a^2*b*d^2*g^3) - B*d^2*log(d*x + c)/(b^3*c^2*g^3 - 2*a*b^2*c*d*g^3 + a^2*b*d^2*g^3) - 1/2*B*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2))/(b^3*g^3*x^2 + 2*a*b^2*g^3*x + a^2*b*g^3) + 1/2*(2*B*b*d*x - A*b*c - 2*B*b*c + A*a*d + 4*B*a*d)/(b^4*c*g^3*x^2 - a*b^3*d*g^3*x^2 + 2*a*b^3*c*g^3*x - 2*a^2*b^2*d*g^3*x + a^2*b^2*c*g^3 - a^3*b*d*g^3)","A",0
126,1,473,0,0.326147," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{2 \, B d^{3} \log\left(b x + a\right)}{3 \, {\left(b^{4} c^{3} g^{4} - 3 \, a b^{3} c^{2} d g^{4} + 3 \, a^{2} b^{2} c d^{2} g^{4} - a^{3} b d^{3} g^{4}\right)}} + \frac{2 \, B d^{3} \log\left(d x + c\right)}{3 \, {\left(b^{4} c^{3} g^{4} - 3 \, a b^{3} c^{2} d g^{4} + 3 \, a^{2} b^{2} c d^{2} g^{4} - a^{3} b d^{3} g^{4}\right)}} - \frac{B \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{3 \, {\left(b^{4} g^{4} x^{3} + 3 \, a b^{3} g^{4} x^{2} + 3 \, a^{2} b^{2} g^{4} x + a^{3} b g^{4}\right)}} - \frac{6 \, B b^{2} d^{2} x^{2} - 3 \, B b^{2} c d x + 15 \, B a b d^{2} x + 3 \, A b^{2} c^{2} + 5 \, B b^{2} c^{2} - 6 \, A a b c d - 13 \, B a b c d + 3 \, A a^{2} d^{2} + 14 \, B a^{2} d^{2}}{9 \, {\left(b^{6} c^{2} g^{4} x^{3} - 2 \, a b^{5} c d g^{4} x^{3} + a^{2} b^{4} d^{2} g^{4} x^{3} + 3 \, a b^{5} c^{2} g^{4} x^{2} - 6 \, a^{2} b^{4} c d g^{4} x^{2} + 3 \, a^{3} b^{3} d^{2} g^{4} x^{2} + 3 \, a^{2} b^{4} c^{2} g^{4} x - 6 \, a^{3} b^{3} c d g^{4} x + 3 \, a^{4} b^{2} d^{2} g^{4} x + a^{3} b^{3} c^{2} g^{4} - 2 \, a^{4} b^{2} c d g^{4} + a^{5} b d^{2} g^{4}\right)}}"," ",0,"-2/3*B*d^3*log(b*x + a)/(b^4*c^3*g^4 - 3*a*b^3*c^2*d*g^4 + 3*a^2*b^2*c*d^2*g^4 - a^3*b*d^3*g^4) + 2/3*B*d^3*log(d*x + c)/(b^4*c^3*g^4 - 3*a*b^3*c^2*d*g^4 + 3*a^2*b^2*c*d^2*g^4 - a^3*b*d^3*g^4) - 1/3*B*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2))/(b^4*g^4*x^3 + 3*a*b^3*g^4*x^2 + 3*a^2*b^2*g^4*x + a^3*b*g^4) - 1/9*(6*B*b^2*d^2*x^2 - 3*B*b^2*c*d*x + 15*B*a*b*d^2*x + 3*A*b^2*c^2 + 5*B*b^2*c^2 - 6*A*a*b*c*d - 13*B*a*b*c*d + 3*A*a^2*d^2 + 14*B*a^2*d^2)/(b^6*c^2*g^4*x^3 - 2*a*b^5*c*d*g^4*x^3 + a^2*b^4*d^2*g^4*x^3 + 3*a*b^5*c^2*g^4*x^2 - 6*a^2*b^4*c*d*g^4*x^2 + 3*a^3*b^3*d^2*g^4*x^2 + 3*a^2*b^4*c^2*g^4*x - 6*a^3*b^3*c*d*g^4*x + 3*a^4*b^2*d^2*g^4*x + a^3*b^3*c^2*g^4 - 2*a^4*b^2*c*d*g^4 + a^5*b*d^2*g^4)","B",0
127,1,419,0,0.767931," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^5,x, algorithm=""giac"")","-\frac{B d^{4} \log\left(-\frac{b c g}{b g x + a g} + \frac{a d g}{b g x + a g} - d\right)}{2 \, {\left(b^{5} c^{4} g^{5} - 4 \, a b^{4} c^{3} d g^{5} + 6 \, a^{2} b^{3} c^{2} d^{2} g^{5} - 4 \, a^{3} b^{2} c d^{3} g^{5} + a^{4} b d^{4} g^{5}\right)}} + \frac{B d^{3}}{2 \, {\left(b^{3} c^{3} g^{3} - 3 \, a b^{2} c^{2} d g^{3} + 3 \, a^{2} b c d^{2} g^{3} - a^{3} d^{3} g^{3}\right)} {\left(b g x + a g\right)} b g} - \frac{B d^{2}}{4 \, {\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(b g x + a g\right)}^{2} b g^{2}} - \frac{B \log\left(\frac{b^{2}}{\frac{b^{2} c^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} - \frac{2 \, a b c d g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{a^{2} d^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{2 \, b c d g}{b g x + a g} - \frac{2 \, a d^{2} g}{b g x + a g} + d^{2}}\right)}{4 \, {\left(b g x + a g\right)}^{4} b g} + \frac{B d}{6 \, {\left(b g x + a g\right)}^{3} {\left(b c - a d\right)} b g^{2}} - \frac{2 \, A b^{3} g^{3} + 3 \, B b^{3} g^{3}}{8 \, {\left(b g x + a g\right)}^{4} b^{4} g^{4}}"," ",0,"-1/2*B*d^4*log(-b*c*g/(b*g*x + a*g) + a*d*g/(b*g*x + a*g) - d)/(b^5*c^4*g^5 - 4*a*b^4*c^3*d*g^5 + 6*a^2*b^3*c^2*d^2*g^5 - 4*a^3*b^2*c*d^3*g^5 + a^4*b*d^4*g^5) + 1/2*B*d^3/((b^3*c^3*g^3 - 3*a*b^2*c^2*d*g^3 + 3*a^2*b*c*d^2*g^3 - a^3*d^3*g^3)*(b*g*x + a*g)*b*g) - 1/4*B*d^2/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(b*g*x + a*g)^2*b*g^2) - 1/4*B*log(b^2/(b^2*c^2*g^2/(b*g*x + a*g)^2 - 2*a*b*c*d*g^2/(b*g*x + a*g)^2 + a^2*d^2*g^2/(b*g*x + a*g)^2 + 2*b*c*d*g/(b*g*x + a*g) - 2*a*d^2*g/(b*g*x + a*g) + d^2))/((b*g*x + a*g)^4*b*g) + 1/6*B*d/((b*g*x + a*g)^3*(b*c - a*d)*b*g^2) - 1/8*(2*A*b^3*g^3 + 3*B*b^3*g^3)/((b*g*x + a*g)^4*b^4*g^4)","B",0
128,0,0,0,0.000000," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int {\left(b g x + a g\right)}^{4} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((b*g*x + a*g)^4*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
129,0,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int {\left(b g x + a g\right)}^{3} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((b*g*x + a*g)^3*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
130,0,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int {\left(b g x + a g\right)}^{2} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((b*g*x + a*g)^2*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
131,0,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int {\left(b g x + a g\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((b*g*x + a*g)*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
132,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(b*g*x+a*g),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}{b g x + a g}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2/(b*g*x + a*g), x)","F",0
133,1,378,0,1.736004," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","-{\left(\frac{B^{2} d}{b^{2} c g^{2} - a b d g^{2}} + \frac{B^{2}}{{\left(b g x + a g\right)} b g}\right)} \log\left(\frac{b^{2}}{\frac{b^{2} c^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} - \frac{2 \, a b c d g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{a^{2} d^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{2 \, b c d g}{b g x + a g} - \frac{2 \, a d^{2} g}{b g x + a g} + d^{2}}\right)^{2} + \frac{4 \, {\left(A B d + 3 \, B^{2} d\right)} \log\left(\frac{b c g}{b g x + a g} - \frac{a d g}{b g x + a g} + d\right)}{b^{2} c g^{2} - a b d g^{2}} - \frac{2 \, {\left(A B + 3 \, B^{2}\right)} \log\left(\frac{b^{2}}{\frac{b^{2} c^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} - \frac{2 \, a b c d g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{a^{2} d^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{2 \, b c d g}{b g x + a g} - \frac{2 \, a d^{2} g}{b g x + a g} + d^{2}}\right)}{{\left(b g x + a g\right)} b g} - \frac{A^{2} + 6 \, A B + 13 \, B^{2}}{{\left(b g x + a g\right)} b g}"," ",0,"-(B^2*d/(b^2*c*g^2 - a*b*d*g^2) + B^2/((b*g*x + a*g)*b*g))*log(b^2/(b^2*c^2*g^2/(b*g*x + a*g)^2 - 2*a*b*c*d*g^2/(b*g*x + a*g)^2 + a^2*d^2*g^2/(b*g*x + a*g)^2 + 2*b*c*d*g/(b*g*x + a*g) - 2*a*d^2*g/(b*g*x + a*g) + d^2))^2 + 4*(A*B*d + 3*B^2*d)*log(b*c*g/(b*g*x + a*g) - a*d*g/(b*g*x + a*g) + d)/(b^2*c*g^2 - a*b*d*g^2) - 2*(A*B + 3*B^2)*log(b^2/(b^2*c^2*g^2/(b*g*x + a*g)^2 - 2*a*b*c*d*g^2/(b*g*x + a*g)^2 + a^2*d^2*g^2/(b*g*x + a*g)^2 + 2*b*c*d*g/(b*g*x + a*g) - 2*a*d^2*g/(b*g*x + a*g) + d^2))/((b*g*x + a*g)*b*g) - (A^2 + 6*A*B + 13*B^2)/((b*g*x + a*g)*b*g)","B",0
134,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(b*g*x+a*g)^3,x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}{{\left(b g x + a g\right)}^{3}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2/(b*g*x + a*g)^3, x)","F",0
135,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(b*g*x+a*g)^4,x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}{{\left(b g x + a g\right)}^{4}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2/(b*g*x + a*g)^4, x)","F",0
136,1,874,0,3.181208," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{B^{2} d^{4}}{b^{5} c^{4} g^{5} - 4 \, a b^{4} c^{3} d g^{5} + 6 \, a^{2} b^{3} c^{2} d^{2} g^{5} - 4 \, a^{3} b^{2} c d^{3} g^{5} + a^{4} b d^{4} g^{5}} - \frac{B^{2}}{{\left(b g x + a g\right)}^{4} b g}\right)} \log\left(\frac{b^{2}}{\frac{b^{2} c^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} - \frac{2 \, a b c d g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{a^{2} d^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{2 \, b c d g}{b g x + a g} - \frac{2 \, a d^{2} g}{b g x + a g} + d^{2}}\right)^{2} + \frac{1}{12} \, {\left(\frac{12 \, B^{2} d^{3}}{{\left(b^{3} c^{3} g^{3} - 3 \, a b^{2} c^{2} d g^{3} + 3 \, a^{2} b c d^{2} g^{3} - a^{3} d^{3} g^{3}\right)} {\left(b g x + a g\right)} b g} - \frac{6 \, B^{2} d^{2}}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(b g x + a g\right)}^{2} b g^{2}} + \frac{4 \, B^{2} d}{{\left(b g x + a g\right)}^{3} {\left(b c - a d\right)} b g^{2}} - \frac{3 \, {\left(2 \, A B b^{3} g^{3} + 3 \, B^{2} b^{3} g^{3}\right)}}{{\left(b g x + a g\right)}^{4} b^{4} g^{4}}\right)} \log\left(\frac{b^{2}}{\frac{b^{2} c^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} - \frac{2 \, a b c d g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{a^{2} d^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{2 \, b c d g}{b g x + a g} - \frac{2 \, a d^{2} g}{b g x + a g} + d^{2}}\right) - \frac{{\left(6 \, A B d^{4} + 31 \, B^{2} d^{4}\right)} \log\left(-\frac{b c g}{b g x + a g} + \frac{a d g}{b g x + a g} - d\right)}{6 \, {\left(b^{5} c^{4} g^{5} - 4 \, a b^{4} c^{3} d g^{5} + 6 \, a^{2} b^{3} c^{2} d^{2} g^{5} - 4 \, a^{3} b^{2} c d^{3} g^{5} + a^{4} b d^{4} g^{5}\right)}} + \frac{6 \, A B d^{3} + 31 \, B^{2} d^{3}}{6 \, {\left(b^{3} c^{3} g^{3} - 3 \, a b^{2} c^{2} d g^{3} + 3 \, a^{2} b c d^{2} g^{3} - a^{3} d^{3} g^{3}\right)} {\left(b g x + a g\right)} b g} - \frac{6 \, A B b d^{2} + 19 \, B^{2} b d^{2}}{12 \, {\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(b g x + a g\right)}^{2} b^{2} g^{2}} + \frac{6 \, A B b^{2} d g + 13 \, B^{2} b^{2} d g}{18 \, {\left(b g x + a g\right)}^{3} {\left(b c - a d\right)} b^{3} g^{3}} - \frac{2 \, A^{2} b^{3} g^{3} + 6 \, A B b^{3} g^{3} + 5 \, B^{2} b^{3} g^{3}}{8 \, {\left(b g x + a g\right)}^{4} b^{4} g^{4}}"," ",0,"1/4*(B^2*d^4/(b^5*c^4*g^5 - 4*a*b^4*c^3*d*g^5 + 6*a^2*b^3*c^2*d^2*g^5 - 4*a^3*b^2*c*d^3*g^5 + a^4*b*d^4*g^5) - B^2/((b*g*x + a*g)^4*b*g))*log(b^2/(b^2*c^2*g^2/(b*g*x + a*g)^2 - 2*a*b*c*d*g^2/(b*g*x + a*g)^2 + a^2*d^2*g^2/(b*g*x + a*g)^2 + 2*b*c*d*g/(b*g*x + a*g) - 2*a*d^2*g/(b*g*x + a*g) + d^2))^2 + 1/12*(12*B^2*d^3/((b^3*c^3*g^3 - 3*a*b^2*c^2*d*g^3 + 3*a^2*b*c*d^2*g^3 - a^3*d^3*g^3)*(b*g*x + a*g)*b*g) - 6*B^2*d^2/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(b*g*x + a*g)^2*b*g^2) + 4*B^2*d/((b*g*x + a*g)^3*(b*c - a*d)*b*g^2) - 3*(2*A*B*b^3*g^3 + 3*B^2*b^3*g^3)/((b*g*x + a*g)^4*b^4*g^4))*log(b^2/(b^2*c^2*g^2/(b*g*x + a*g)^2 - 2*a*b*c*d*g^2/(b*g*x + a*g)^2 + a^2*d^2*g^2/(b*g*x + a*g)^2 + 2*b*c*d*g/(b*g*x + a*g) - 2*a*d^2*g/(b*g*x + a*g) + d^2)) - 1/6*(6*A*B*d^4 + 31*B^2*d^4)*log(-b*c*g/(b*g*x + a*g) + a*d*g/(b*g*x + a*g) - d)/(b^5*c^4*g^5 - 4*a*b^4*c^3*d*g^5 + 6*a^2*b^3*c^2*d^2*g^5 - 4*a^3*b^2*c*d^3*g^5 + a^4*b*d^4*g^5) + 1/6*(6*A*B*d^3 + 31*B^2*d^3)/((b^3*c^3*g^3 - 3*a*b^2*c^2*d*g^3 + 3*a^2*b*c*d^2*g^3 - a^3*d^3*g^3)*(b*g*x + a*g)*b*g) - 1/12*(6*A*B*b*d^2 + 19*B^2*b*d^2)/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(b*g*x + a*g)^2*b^2*g^2) + 1/18*(6*A*B*b^2*d*g + 13*B^2*b^2*d*g)/((b*g*x + a*g)^3*(b*c - a*d)*b^3*g^3) - 1/8*(2*A^2*b^3*g^3 + 6*A*B*b^3*g^3 + 5*B^2*b^3*g^3)/((b*g*x + a*g)^4*b^4*g^4)","A",0
137,0,0,0,0.000000," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{2}}{B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A}\,{d x}"," ",0,"integrate((b*g*x + a*g)^2/(B*log((b*x + a)^2*e/(d*x + c)^2) + A), x)","F",0
138,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{b g x + a g}{B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A}\,{d x}"," ",0,"integrate((b*g*x + a*g)/(B*log((b*x + a)^2*e/(d*x + c)^2) + A), x)","F",0
139,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)), x)","F",0
140,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{2} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^2*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)), x)","F",0
141,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{3} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^3*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)), x)","F",0
142,0,0,0,0.000000," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{2}}{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((b*g*x + a*g)^2/(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
143,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{b g x + a g}{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((b*g*x + a*g)/(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
144,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2), x)","F",0
145,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{2} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^2*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2), x)","F",0
146,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{3} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^3*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2), x)","F",0
147,1,497,0,11.525783," ","integrate((b*x+a)^4*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\frac{B a^{5} n \log\left(b x + a\right)}{5 \, b} + \frac{1}{5} \, {\left(A b^{4} + B b^{4}\right)} x^{5} - \frac{{\left(B b^{4} c n - B a b^{3} d n - 20 \, A a b^{3} d - 20 \, B a b^{3} d\right)} x^{4}}{20 \, d} + \frac{{\left(B b^{4} c^{2} n - 5 \, B a b^{3} c d n + 4 \, B a^{2} b^{2} d^{2} n + 30 \, A a^{2} b^{2} d^{2} + 30 \, B a^{2} b^{2} d^{2}\right)} x^{3}}{15 \, d^{2}} + \frac{1}{5} \, {\left(B b^{4} n x^{5} + 5 \, B a b^{3} n x^{4} + 10 \, B a^{2} b^{2} n x^{3} + 10 \, B a^{3} b n x^{2} + 5 \, B a^{4} n x\right)} \log\left(b x + a\right) - \frac{1}{5} \, {\left(B b^{4} n x^{5} + 5 \, B a b^{3} n x^{4} + 10 \, B a^{2} b^{2} n x^{3} + 10 \, B a^{3} b n x^{2} + 5 \, B a^{4} n x\right)} \log\left(d x + c\right) - \frac{{\left(B b^{4} c^{3} n - 5 \, B a b^{3} c^{2} d n + 10 \, B a^{2} b^{2} c d^{2} n - 6 \, B a^{3} b d^{3} n - 20 \, A a^{3} b d^{3} - 20 \, B a^{3} b d^{3}\right)} x^{2}}{10 \, d^{3}} + \frac{{\left(B b^{4} c^{4} n - 5 \, B a b^{3} c^{3} d n + 10 \, B a^{2} b^{2} c^{2} d^{2} n - 10 \, B a^{3} b c d^{3} n + 4 \, B a^{4} d^{4} n + 5 \, A a^{4} d^{4} + 5 \, B a^{4} d^{4}\right)} x}{5 \, d^{4}} - \frac{{\left(B b^{4} c^{5} n - 5 \, B a b^{3} c^{4} d n + 10 \, B a^{2} b^{2} c^{3} d^{2} n - 10 \, B a^{3} b c^{2} d^{3} n + 5 \, B a^{4} c d^{4} n\right)} \log\left(-d x - c\right)}{5 \, d^{5}}"," ",0,"1/5*B*a^5*n*log(b*x + a)/b + 1/5*(A*b^4 + B*b^4)*x^5 - 1/20*(B*b^4*c*n - B*a*b^3*d*n - 20*A*a*b^3*d - 20*B*a*b^3*d)*x^4/d + 1/15*(B*b^4*c^2*n - 5*B*a*b^3*c*d*n + 4*B*a^2*b^2*d^2*n + 30*A*a^2*b^2*d^2 + 30*B*a^2*b^2*d^2)*x^3/d^2 + 1/5*(B*b^4*n*x^5 + 5*B*a*b^3*n*x^4 + 10*B*a^2*b^2*n*x^3 + 10*B*a^3*b*n*x^2 + 5*B*a^4*n*x)*log(b*x + a) - 1/5*(B*b^4*n*x^5 + 5*B*a*b^3*n*x^4 + 10*B*a^2*b^2*n*x^3 + 10*B*a^3*b*n*x^2 + 5*B*a^4*n*x)*log(d*x + c) - 1/10*(B*b^4*c^3*n - 5*B*a*b^3*c^2*d*n + 10*B*a^2*b^2*c*d^2*n - 6*B*a^3*b*d^3*n - 20*A*a^3*b*d^3 - 20*B*a^3*b*d^3)*x^2/d^3 + 1/5*(B*b^4*c^4*n - 5*B*a*b^3*c^3*d*n + 10*B*a^2*b^2*c^2*d^2*n - 10*B*a^3*b*c*d^3*n + 4*B*a^4*d^4*n + 5*A*a^4*d^4 + 5*B*a^4*d^4)*x/d^4 - 1/5*(B*b^4*c^5*n - 5*B*a*b^3*c^4*d*n + 10*B*a^2*b^2*c^3*d^2*n - 10*B*a^3*b*c^2*d^3*n + 5*B*a^4*c*d^4*n)*log(-d*x - c)/d^5","B",0
148,1,355,0,3.823772," ","integrate((b*x+a)^3*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\frac{B a^{4} n \log\left(b x + a\right)}{4 \, b} + \frac{1}{4} \, {\left(A b^{3} + B b^{3}\right)} x^{4} - \frac{{\left(B b^{3} c n - B a b^{2} d n - 12 \, A a b^{2} d - 12 \, B a b^{2} d\right)} x^{3}}{12 \, d} + \frac{1}{4} \, {\left(B b^{3} n x^{4} + 4 \, B a b^{2} n x^{3} + 6 \, B a^{2} b n x^{2} + 4 \, B a^{3} n x\right)} \log\left(b x + a\right) - \frac{1}{4} \, {\left(B b^{3} n x^{4} + 4 \, B a b^{2} n x^{3} + 6 \, B a^{2} b n x^{2} + 4 \, B a^{3} n x\right)} \log\left(d x + c\right) + \frac{{\left(B b^{3} c^{2} n - 4 \, B a b^{2} c d n + 3 \, B a^{2} b d^{2} n + 12 \, A a^{2} b d^{2} + 12 \, B a^{2} b d^{2}\right)} x^{2}}{8 \, d^{2}} - \frac{{\left(B b^{3} c^{3} n - 4 \, B a b^{2} c^{2} d n + 6 \, B a^{2} b c d^{2} n - 3 \, B a^{3} d^{3} n - 4 \, A a^{3} d^{3} - 4 \, B a^{3} d^{3}\right)} x}{4 \, d^{3}} + \frac{{\left(B b^{3} c^{4} n - 4 \, B a b^{2} c^{3} d n + 6 \, B a^{2} b c^{2} d^{2} n - 4 \, B a^{3} c d^{3} n\right)} \log\left(d x + c\right)}{4 \, d^{4}}"," ",0,"1/4*B*a^4*n*log(b*x + a)/b + 1/4*(A*b^3 + B*b^3)*x^4 - 1/12*(B*b^3*c*n - B*a*b^2*d*n - 12*A*a*b^2*d - 12*B*a*b^2*d)*x^3/d + 1/4*(B*b^3*n*x^4 + 4*B*a*b^2*n*x^3 + 6*B*a^2*b*n*x^2 + 4*B*a^3*n*x)*log(b*x + a) - 1/4*(B*b^3*n*x^4 + 4*B*a*b^2*n*x^3 + 6*B*a^2*b*n*x^2 + 4*B*a^3*n*x)*log(d*x + c) + 1/8*(B*b^3*c^2*n - 4*B*a*b^2*c*d*n + 3*B*a^2*b*d^2*n + 12*A*a^2*b*d^2 + 12*B*a^2*b*d^2)*x^2/d^2 - 1/4*(B*b^3*c^3*n - 4*B*a*b^2*c^2*d*n + 6*B*a^2*b*c*d^2*n - 3*B*a^3*d^3*n - 4*A*a^3*d^3 - 4*B*a^3*d^3)*x/d^3 + 1/4*(B*b^3*c^4*n - 4*B*a*b^2*c^3*d*n + 6*B*a^2*b*c^2*d^2*n - 4*B*a^3*c*d^3*n)*log(d*x + c)/d^4","B",0
149,1,235,0,1.382187," ","integrate((b*x+a)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\frac{B a^{3} n \log\left(b x + a\right)}{3 \, b} + \frac{1}{3} \, {\left(A b^{2} + B b^{2}\right)} x^{3} - \frac{{\left(B b^{2} c n - B a b d n - 6 \, A a b d - 6 \, B a b d\right)} x^{2}}{6 \, d} + \frac{1}{3} \, {\left(B b^{2} n x^{3} + 3 \, B a b n x^{2} + 3 \, B a^{2} n x\right)} \log\left(b x + a\right) - \frac{1}{3} \, {\left(B b^{2} n x^{3} + 3 \, B a b n x^{2} + 3 \, B a^{2} n x\right)} \log\left(d x + c\right) + \frac{{\left(B b^{2} c^{2} n - 3 \, B a b c d n + 2 \, B a^{2} d^{2} n + 3 \, A a^{2} d^{2} + 3 \, B a^{2} d^{2}\right)} x}{3 \, d^{2}} - \frac{{\left(B b^{2} c^{3} n - 3 \, B a b c^{2} d n + 3 \, B a^{2} c d^{2} n\right)} \log\left(-d x - c\right)}{3 \, d^{3}}"," ",0,"1/3*B*a^3*n*log(b*x + a)/b + 1/3*(A*b^2 + B*b^2)*x^3 - 1/6*(B*b^2*c*n - B*a*b*d*n - 6*A*a*b*d - 6*B*a*b*d)*x^2/d + 1/3*(B*b^2*n*x^3 + 3*B*a*b*n*x^2 + 3*B*a^2*n*x)*log(b*x + a) - 1/3*(B*b^2*n*x^3 + 3*B*a*b*n*x^2 + 3*B*a^2*n*x)*log(d*x + c) + 1/3*(B*b^2*c^2*n - 3*B*a*b*c*d*n + 2*B*a^2*d^2*n + 3*A*a^2*d^2 + 3*B*a^2*d^2)*x/d^2 - 1/3*(B*b^2*c^3*n - 3*B*a*b*c^2*d*n + 3*B*a^2*c*d^2*n)*log(-d*x - c)/d^3","B",0
150,1,127,0,0.583706," ","integrate((b*x+a)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\frac{B a^{2} n \log\left(b x + a\right)}{2 \, b} + \frac{1}{2} \, {\left(A b + B b\right)} x^{2} + \frac{1}{2} \, {\left(B b n x^{2} + 2 \, B a n x\right)} \log\left(b x + a\right) - \frac{1}{2} \, {\left(B b n x^{2} + 2 \, B a n x\right)} \log\left(d x + c\right) - \frac{{\left(B b c n - B a d n - 2 \, A a d - 2 \, B a d\right)} x}{2 \, d} + \frac{{\left(B b c^{2} n - 2 \, B a c d n\right)} \log\left(d x + c\right)}{2 \, d^{2}}"," ",0,"1/2*B*a^2*n*log(b*x + a)/b + 1/2*(A*b + B*b)*x^2 + 1/2*(B*b*n*x^2 + 2*B*a*n*x)*log(b*x + a) - 1/2*(B*b*n*x^2 + 2*B*a*n*x)*log(d*x + c) - 1/2*(B*b*c*n - B*a*d*n - 2*A*a*d - 2*B*a*d)*x/d + 1/2*(B*b*c^2*n - 2*B*a*c*d*n)*log(d*x + c)/d^2","A",0
151,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a),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 x + a}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)/(b*x + a), x)","F",0
152,1,108,0,0.196183," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^2,x, algorithm=""giac"")","-\frac{B d n \log\left(b x + a\right)}{b^{2} c - a b d} + \frac{B d n \log\left(d x + c\right)}{b^{2} c - a b d} - \frac{B n \log\left(b x + a\right)}{b^{2} x + a b} + \frac{B n \log\left(d x + c\right)}{b^{2} x + a b} - \frac{B n + A + B}{b^{2} x + a b}"," ",0,"-B*d*n*log(b*x + a)/(b^2*c - a*b*d) + B*d*n*log(d*x + c)/(b^2*c - a*b*d) - B*n*log(b*x + a)/(b^2*x + a*b) + B*n*log(d*x + c)/(b^2*x + a*b) - (B*n + A + B)/(b^2*x + a*b)","A",0
153,1,239,0,0.216538," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^3,x, algorithm=""giac"")","\frac{B d^{2} n \log\left(b x + a\right)}{2 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}} - \frac{B d^{2} n \log\left(d x + c\right)}{2 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)}} - \frac{B n \log\left(b x + a\right)}{2 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}} + \frac{B n \log\left(d x + c\right)}{2 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}} + \frac{2 \, B b d n x - B b c n + 3 \, B a d n - 2 \, A b c - 2 \, B b c + 2 \, A a d + 2 \, B a d}{4 \, {\left(b^{4} c x^{2} - a b^{3} d x^{2} + 2 \, a b^{3} c x - 2 \, a^{2} b^{2} d x + a^{2} b^{2} c - a^{3} b d\right)}}"," ",0,"1/2*B*d^2*n*log(b*x + a)/(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2) - 1/2*B*d^2*n*log(d*x + c)/(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2) - 1/2*B*n*log(b*x + a)/(b^3*x^2 + 2*a*b^2*x + a^2*b) + 1/2*B*n*log(d*x + c)/(b^3*x^2 + 2*a*b^2*x + a^2*b) + 1/4*(2*B*b*d*n*x - B*b*c*n + 3*B*a*d*n - 2*A*b*c - 2*B*b*c + 2*A*a*d + 2*B*a*d)/(b^4*c*x^2 - a*b^3*d*x^2 + 2*a*b^3*c*x - 2*a^2*b^2*d*x + a^2*b^2*c - a^3*b*d)","A",0
154,1,448,0,0.230199," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^4,x, algorithm=""giac"")","-\frac{B d^{3} n \log\left(b x + a\right)}{3 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)}} + \frac{B d^{3} n \log\left(d x + c\right)}{3 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)}} - \frac{B n \log\left(b x + a\right)}{3 \, {\left(b^{4} x^{3} + 3 \, a b^{3} x^{2} + 3 \, a^{2} b^{2} x + a^{3} b\right)}} + \frac{B n \log\left(d x + c\right)}{3 \, {\left(b^{4} x^{3} + 3 \, a b^{3} x^{2} + 3 \, a^{2} b^{2} x + a^{3} b\right)}} - \frac{6 \, B b^{2} d^{2} n x^{2} - 3 \, B b^{2} c d n x + 15 \, B a b d^{2} n x + 2 \, B b^{2} c^{2} n - 7 \, B a b c d n + 11 \, B a^{2} d^{2} n + 6 \, A b^{2} c^{2} + 6 \, B b^{2} c^{2} - 12 \, A a b c d - 12 \, B a b c d + 6 \, A a^{2} d^{2} + 6 \, B a^{2} d^{2}}{18 \, {\left(b^{6} c^{2} x^{3} - 2 \, a b^{5} c d x^{3} + a^{2} b^{4} d^{2} x^{3} + 3 \, a b^{5} c^{2} x^{2} - 6 \, a^{2} b^{4} c d x^{2} + 3 \, a^{3} b^{3} d^{2} x^{2} + 3 \, a^{2} b^{4} c^{2} x - 6 \, a^{3} b^{3} c d x + 3 \, a^{4} b^{2} d^{2} x + a^{3} b^{3} c^{2} - 2 \, a^{4} b^{2} c d + a^{5} b d^{2}\right)}}"," ",0,"-1/3*B*d^3*n*log(b*x + a)/(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3) + 1/3*B*d^3*n*log(d*x + c)/(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3) - 1/3*B*n*log(b*x + a)/(b^4*x^3 + 3*a*b^3*x^2 + 3*a^2*b^2*x + a^3*b) + 1/3*B*n*log(d*x + c)/(b^4*x^3 + 3*a*b^3*x^2 + 3*a^2*b^2*x + a^3*b) - 1/18*(6*B*b^2*d^2*n*x^2 - 3*B*b^2*c*d*n*x + 15*B*a*b*d^2*n*x + 2*B*b^2*c^2*n - 7*B*a*b*c*d*n + 11*B*a^2*d^2*n + 6*A*b^2*c^2 + 6*B*b^2*c^2 - 12*A*a*b*c*d - 12*B*a*b*c*d + 6*A*a^2*d^2 + 6*B*a^2*d^2)/(b^6*c^2*x^3 - 2*a*b^5*c*d*x^3 + a^2*b^4*d^2*x^3 + 3*a*b^5*c^2*x^2 - 6*a^2*b^4*c*d*x^2 + 3*a^3*b^3*d^2*x^2 + 3*a^2*b^4*c^2*x - 6*a^3*b^3*c*d*x + 3*a^4*b^2*d^2*x + a^3*b^3*c^2 - 2*a^4*b^2*c*d + a^5*b*d^2)","B",0
155,1,710,0,0.246848," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^5,x, algorithm=""giac"")","\frac{B d^{4} n \log\left(b x + a\right)}{4 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)}} - \frac{B d^{4} n \log\left(d x + c\right)}{4 \, {\left(b^{5} c^{4} - 4 \, a b^{4} c^{3} d + 6 \, a^{2} b^{3} c^{2} d^{2} - 4 \, a^{3} b^{2} c d^{3} + a^{4} b d^{4}\right)}} - \frac{B n \log\left(b x + a\right)}{4 \, {\left(b^{5} x^{4} + 4 \, a b^{4} x^{3} + 6 \, a^{2} b^{3} x^{2} + 4 \, a^{3} b^{2} x + a^{4} b\right)}} + \frac{B n \log\left(d x + c\right)}{4 \, {\left(b^{5} x^{4} + 4 \, a b^{4} x^{3} + 6 \, a^{2} b^{3} x^{2} + 4 \, a^{3} b^{2} x + a^{4} b\right)}} + \frac{12 \, B b^{3} d^{3} n x^{3} - 6 \, B b^{3} c d^{2} n x^{2} + 42 \, B a b^{2} d^{3} n x^{2} + 4 \, B b^{3} c^{2} d n x - 20 \, B a b^{2} c d^{2} n x + 52 \, B a^{2} b d^{3} n x - 3 \, B b^{3} c^{3} n + 13 \, B a b^{2} c^{2} d n - 23 \, B a^{2} b c d^{2} n + 25 \, B a^{3} d^{3} n - 12 \, A b^{3} c^{3} - 12 \, B b^{3} c^{3} + 36 \, A a b^{2} c^{2} d + 36 \, B a b^{2} c^{2} d - 36 \, A a^{2} b c d^{2} - 36 \, B a^{2} b c d^{2} + 12 \, A a^{3} d^{3} + 12 \, B a^{3} d^{3}}{48 \, {\left(b^{8} c^{3} x^{4} - 3 \, a b^{7} c^{2} d x^{4} + 3 \, a^{2} b^{6} c d^{2} x^{4} - a^{3} b^{5} d^{3} x^{4} + 4 \, a b^{7} c^{3} x^{3} - 12 \, a^{2} b^{6} c^{2} d x^{3} + 12 \, a^{3} b^{5} c d^{2} x^{3} - 4 \, a^{4} b^{4} d^{3} x^{3} + 6 \, a^{2} b^{6} c^{3} x^{2} - 18 \, a^{3} b^{5} c^{2} d x^{2} + 18 \, a^{4} b^{4} c d^{2} x^{2} - 6 \, a^{5} b^{3} d^{3} x^{2} + 4 \, a^{3} b^{5} c^{3} x - 12 \, a^{4} b^{4} c^{2} d x + 12 \, a^{5} b^{3} c d^{2} x - 4 \, a^{6} b^{2} d^{3} x + a^{4} b^{4} c^{3} - 3 \, a^{5} b^{3} c^{2} d + 3 \, a^{6} b^{2} c d^{2} - a^{7} b d^{3}\right)}}"," ",0,"1/4*B*d^4*n*log(b*x + a)/(b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4) - 1/4*B*d^4*n*log(d*x + c)/(b^5*c^4 - 4*a*b^4*c^3*d + 6*a^2*b^3*c^2*d^2 - 4*a^3*b^2*c*d^3 + a^4*b*d^4) - 1/4*B*n*log(b*x + a)/(b^5*x^4 + 4*a*b^4*x^3 + 6*a^2*b^3*x^2 + 4*a^3*b^2*x + a^4*b) + 1/4*B*n*log(d*x + c)/(b^5*x^4 + 4*a*b^4*x^3 + 6*a^2*b^3*x^2 + 4*a^3*b^2*x + a^4*b) + 1/48*(12*B*b^3*d^3*n*x^3 - 6*B*b^3*c*d^2*n*x^2 + 42*B*a*b^2*d^3*n*x^2 + 4*B*b^3*c^2*d*n*x - 20*B*a*b^2*c*d^2*n*x + 52*B*a^2*b*d^3*n*x - 3*B*b^3*c^3*n + 13*B*a*b^2*c^2*d*n - 23*B*a^2*b*c*d^2*n + 25*B*a^3*d^3*n - 12*A*b^3*c^3 - 12*B*b^3*c^3 + 36*A*a*b^2*c^2*d + 36*B*a*b^2*c^2*d - 36*A*a^2*b*c*d^2 - 36*B*a^2*b*c*d^2 + 12*A*a^3*d^3 + 12*B*a^3*d^3)/(b^8*c^3*x^4 - 3*a*b^7*c^2*d*x^4 + 3*a^2*b^6*c*d^2*x^4 - a^3*b^5*d^3*x^4 + 4*a*b^7*c^3*x^3 - 12*a^2*b^6*c^2*d*x^3 + 12*a^3*b^5*c*d^2*x^3 - 4*a^4*b^4*d^3*x^3 + 6*a^2*b^6*c^3*x^2 - 18*a^3*b^5*c^2*d*x^2 + 18*a^4*b^4*c*d^2*x^2 - 6*a^5*b^3*d^3*x^2 + 4*a^3*b^5*c^3*x - 12*a^4*b^4*c^2*d*x + 12*a^5*b^3*c*d^2*x - 4*a^6*b^2*d^3*x + a^4*b^4*c^3 - 3*a^5*b^3*c^2*d + 3*a^6*b^2*c*d^2 - a^7*b*d^3)","B",0
156,0,0,0,0.000000," ","integrate((b*x+a)^3*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{3} {\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((b*x + a)^3*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2, x)","F",0
157,0,0,0,0.000000," ","integrate((b*x+a)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{2} {\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((b*x + a)^2*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2, x)","F",0
158,0,0,0,0.000000," ","integrate((b*x+a)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""giac"")","\int {\left(b x + a\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((b*x + a)*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2, x)","F",0
159,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a),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 x + a}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/(b*x + a), x)","F",0
160,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^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)}^{2}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/(b*x + a)^2, x)","F",0
161,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^3,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)}^{3}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/(b*x + a)^3, x)","F",0
162,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^4,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)}^{4}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/(b*x + a)^4, x)","F",0
163,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^5,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)}^{5}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/(b*x + a)^5, x)","F",0
164,-1,0,0,0.000000," ","integrate((b*x+a)^3*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,0,0,0,0.000000," ","integrate((b*x+a)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{2} {\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{3}\,{d x}"," ",0,"integrate((b*x + a)^2*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3, x)","F",0
166,0,0,0,0.000000," ","integrate((b*x+a)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""giac"")","\int {\left(b x + a\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{3}\,{d x}"," ",0,"integrate((b*x + a)*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3, x)","F",0
167,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a),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 x + a}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/(b*x + a), x)","F",0
168,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^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)}^{3}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/(b*x + a)^2, x)","F",0
169,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^3,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)}^{3}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/(b*x + a)^3, x)","F",0
170,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^4,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)}^{4}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/(b*x + a)^4, x)","F",0
171,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^5,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)}^{5}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/(b*x + a)^5, x)","F",0
172,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{2} {\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*x + a*g)^2*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)), x)","F",0
173,1,5960,0,1.532511," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""giac"")","-\frac{{\left(12 \, B b^{6} c^{6} d^{5} g^{4} e^{6} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - 72 \, B a b^{5} c^{5} d^{6} g^{4} e^{6} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) + 180 \, B a^{2} b^{4} c^{4} d^{7} g^{4} e^{6} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - 240 \, B a^{3} b^{3} c^{3} d^{8} g^{4} e^{6} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) + 180 \, B a^{4} b^{2} c^{2} d^{9} g^{4} e^{6} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - 72 \, B a^{5} b c d^{10} g^{4} e^{6} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) + 12 \, B a^{6} d^{11} g^{4} e^{6} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - \frac{60 \, {\left(d x e + c e\right)} B b^{7} c^{6} d^{4} g^{4} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{360 \, {\left(d x e + c e\right)} B a b^{6} c^{5} d^{5} g^{4} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} - \frac{900 \, {\left(d x e + c e\right)} B a^{2} b^{5} c^{4} d^{6} g^{4} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{1200 \, {\left(d x e + c e\right)} B a^{3} b^{4} c^{3} d^{7} g^{4} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} - \frac{900 \, {\left(d x e + c e\right)} B a^{4} b^{3} c^{2} d^{8} g^{4} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{360 \, {\left(d x e + c e\right)} B a^{5} b^{2} c d^{9} g^{4} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} - \frac{60 \, {\left(d x e + c e\right)} B a^{6} b d^{10} g^{4} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{120 \, {\left(d x e + c e\right)}^{2} B b^{8} c^{6} d^{3} g^{4} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{720 \, {\left(d x e + c e\right)}^{2} B a b^{7} c^{5} d^{4} g^{4} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{1800 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{6} c^{4} d^{5} g^{4} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{2400 \, {\left(d x e + c e\right)}^{2} B a^{3} b^{5} c^{3} d^{6} g^{4} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{1800 \, {\left(d x e + c e\right)}^{2} B a^{4} b^{4} c^{2} d^{7} g^{4} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{720 \, {\left(d x e + c e\right)}^{2} B a^{5} b^{3} c d^{8} g^{4} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{120 \, {\left(d x e + c e\right)}^{2} B a^{6} b^{2} d^{9} g^{4} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{120 \, {\left(d x e + c e\right)}^{3} B b^{9} c^{6} d^{2} g^{4} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{720 \, {\left(d x e + c e\right)}^{3} B a b^{8} c^{5} d^{3} g^{4} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{1800 \, {\left(d x e + c e\right)}^{3} B a^{2} b^{7} c^{4} d^{4} g^{4} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{2400 \, {\left(d x e + c e\right)}^{3} B a^{3} b^{6} c^{3} d^{5} g^{4} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{1800 \, {\left(d x e + c e\right)}^{3} B a^{4} b^{5} c^{2} d^{6} g^{4} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{720 \, {\left(d x e + c e\right)}^{3} B a^{5} b^{4} c d^{7} g^{4} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{120 \, {\left(d x e + c e\right)}^{3} B a^{6} b^{3} d^{8} g^{4} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{60 \, {\left(d x e + c e\right)}^{4} B b^{10} c^{6} d g^{4} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{360 \, {\left(d x e + c e\right)}^{4} B a b^{9} c^{5} d^{2} g^{4} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{900 \, {\left(d x e + c e\right)}^{4} B a^{2} b^{8} c^{4} d^{3} g^{4} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{1200 \, {\left(d x e + c e\right)}^{4} B a^{3} b^{7} c^{3} d^{4} g^{4} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{900 \, {\left(d x e + c e\right)}^{4} B a^{4} b^{6} c^{2} d^{5} g^{4} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{360 \, {\left(d x e + c e\right)}^{4} B a^{5} b^{5} c d^{6} g^{4} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{60 \, {\left(d x e + c e\right)}^{4} B a^{6} b^{4} d^{7} g^{4} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{12 \, {\left(d x e + c e\right)}^{5} B b^{11} c^{6} g^{4} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{5}} + \frac{72 \, {\left(d x e + c e\right)}^{5} B a b^{10} c^{5} d g^{4} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{5}} - \frac{180 \, {\left(d x e + c e\right)}^{5} B a^{2} b^{9} c^{4} d^{2} g^{4} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{5}} + \frac{240 \, {\left(d x e + c e\right)}^{5} B a^{3} b^{8} c^{3} d^{3} g^{4} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{5}} - \frac{180 \, {\left(d x e + c e\right)}^{5} B a^{4} b^{7} c^{2} d^{4} g^{4} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{5}} + \frac{72 \, {\left(d x e + c e\right)}^{5} B a^{5} b^{6} c d^{5} g^{4} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{5}} - \frac{12 \, {\left(d x e + c e\right)}^{5} B a^{6} b^{5} d^{6} g^{4} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{5}} + \frac{60 \, {\left(d x e + c e\right)} B b^{7} c^{6} d^{4} g^{4} e^{5} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{360 \, {\left(d x e + c e\right)} B a b^{6} c^{5} d^{5} g^{4} e^{5} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} + \frac{900 \, {\left(d x e + c e\right)} B a^{2} b^{5} c^{4} d^{6} g^{4} e^{5} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{1200 \, {\left(d x e + c e\right)} B a^{3} b^{4} c^{3} d^{7} g^{4} e^{5} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} + \frac{900 \, {\left(d x e + c e\right)} B a^{4} b^{3} c^{2} d^{8} g^{4} e^{5} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{360 \, {\left(d x e + c e\right)} B a^{5} b^{2} c d^{9} g^{4} e^{5} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} + \frac{60 \, {\left(d x e + c e\right)} B a^{6} b d^{10} g^{4} e^{5} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{120 \, {\left(d x e + c e\right)}^{2} B b^{8} c^{6} d^{3} g^{4} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{720 \, {\left(d x e + c e\right)}^{2} B a b^{7} c^{5} d^{4} g^{4} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{1800 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{6} c^{4} d^{5} g^{4} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{2400 \, {\left(d x e + c e\right)}^{2} B a^{3} b^{5} c^{3} d^{6} g^{4} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{1800 \, {\left(d x e + c e\right)}^{2} B a^{4} b^{4} c^{2} d^{7} g^{4} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{720 \, {\left(d x e + c e\right)}^{2} B a^{5} b^{3} c d^{8} g^{4} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{120 \, {\left(d x e + c e\right)}^{2} B a^{6} b^{2} d^{9} g^{4} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{120 \, {\left(d x e + c e\right)}^{3} B b^{9} c^{6} d^{2} g^{4} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{720 \, {\left(d x e + c e\right)}^{3} B a b^{8} c^{5} d^{3} g^{4} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{1800 \, {\left(d x e + c e\right)}^{3} B a^{2} b^{7} c^{4} d^{4} g^{4} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{2400 \, {\left(d x e + c e\right)}^{3} B a^{3} b^{6} c^{3} d^{5} g^{4} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{1800 \, {\left(d x e + c e\right)}^{3} B a^{4} b^{5} c^{2} d^{6} g^{4} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{720 \, {\left(d x e + c e\right)}^{3} B a^{5} b^{4} c d^{7} g^{4} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{120 \, {\left(d x e + c e\right)}^{3} B a^{6} b^{3} d^{8} g^{4} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{60 \, {\left(d x e + c e\right)}^{4} B b^{10} c^{6} d g^{4} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{360 \, {\left(d x e + c e\right)}^{4} B a b^{9} c^{5} d^{2} g^{4} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{900 \, {\left(d x e + c e\right)}^{4} B a^{2} b^{8} c^{4} d^{3} g^{4} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{1200 \, {\left(d x e + c e\right)}^{4} B a^{3} b^{7} c^{3} d^{4} g^{4} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{900 \, {\left(d x e + c e\right)}^{4} B a^{4} b^{6} c^{2} d^{5} g^{4} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{360 \, {\left(d x e + c e\right)}^{4} B a^{5} b^{5} c d^{6} g^{4} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{60 \, {\left(d x e + c e\right)}^{4} B a^{6} b^{4} d^{7} g^{4} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{12 \, {\left(d x e + c e\right)}^{5} B b^{11} c^{6} g^{4} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{5}} - \frac{72 \, {\left(d x e + c e\right)}^{5} B a b^{10} c^{5} d g^{4} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{5}} + \frac{180 \, {\left(d x e + c e\right)}^{5} B a^{2} b^{9} c^{4} d^{2} g^{4} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{5}} - \frac{240 \, {\left(d x e + c e\right)}^{5} B a^{3} b^{8} c^{3} d^{3} g^{4} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{5}} + \frac{180 \, {\left(d x e + c e\right)}^{5} B a^{4} b^{7} c^{2} d^{4} g^{4} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{5}} - \frac{72 \, {\left(d x e + c e\right)}^{5} B a^{5} b^{6} c d^{5} g^{4} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{5}} + \frac{12 \, {\left(d x e + c e\right)}^{5} B a^{6} b^{5} d^{6} g^{4} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{5}} + 12 \, A b^{6} c^{6} d^{5} g^{4} e^{6} - 25 \, B b^{6} c^{6} d^{5} g^{4} e^{6} - 72 \, A a b^{5} c^{5} d^{6} g^{4} e^{6} + 150 \, B a b^{5} c^{5} d^{6} g^{4} e^{6} + 180 \, A a^{2} b^{4} c^{4} d^{7} g^{4} e^{6} - 375 \, B a^{2} b^{4} c^{4} d^{7} g^{4} e^{6} - 240 \, A a^{3} b^{3} c^{3} d^{8} g^{4} e^{6} + 500 \, B a^{3} b^{3} c^{3} d^{8} g^{4} e^{6} + 180 \, A a^{4} b^{2} c^{2} d^{9} g^{4} e^{6} - 375 \, B a^{4} b^{2} c^{2} d^{9} g^{4} e^{6} - 72 \, A a^{5} b c d^{10} g^{4} e^{6} + 150 \, B a^{5} b c d^{10} g^{4} e^{6} + 12 \, A a^{6} d^{11} g^{4} e^{6} - 25 \, B a^{6} d^{11} g^{4} e^{6} + \frac{77 \, {\left(d x e + c e\right)} B b^{7} c^{6} d^{4} g^{4} e^{5}}{b x + a} - \frac{462 \, {\left(d x e + c e\right)} B a b^{6} c^{5} d^{5} g^{4} e^{5}}{b x + a} + \frac{1155 \, {\left(d x e + c e\right)} B a^{2} b^{5} c^{4} d^{6} g^{4} e^{5}}{b x + a} - \frac{1540 \, {\left(d x e + c e\right)} B a^{3} b^{4} c^{3} d^{7} g^{4} e^{5}}{b x + a} + \frac{1155 \, {\left(d x e + c e\right)} B a^{4} b^{3} c^{2} d^{8} g^{4} e^{5}}{b x + a} - \frac{462 \, {\left(d x e + c e\right)} B a^{5} b^{2} c d^{9} g^{4} e^{5}}{b x + a} + \frac{77 \, {\left(d x e + c e\right)} B a^{6} b d^{10} g^{4} e^{5}}{b x + a} - \frac{94 \, {\left(d x e + c e\right)}^{2} B b^{8} c^{6} d^{3} g^{4} e^{4}}{{\left(b x + a\right)}^{2}} + \frac{564 \, {\left(d x e + c e\right)}^{2} B a b^{7} c^{5} d^{4} g^{4} e^{4}}{{\left(b x + a\right)}^{2}} - \frac{1410 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{6} c^{4} d^{5} g^{4} e^{4}}{{\left(b x + a\right)}^{2}} + \frac{1880 \, {\left(d x e + c e\right)}^{2} B a^{3} b^{5} c^{3} d^{6} g^{4} e^{4}}{{\left(b x + a\right)}^{2}} - \frac{1410 \, {\left(d x e + c e\right)}^{2} B a^{4} b^{4} c^{2} d^{7} g^{4} e^{4}}{{\left(b x + a\right)}^{2}} + \frac{564 \, {\left(d x e + c e\right)}^{2} B a^{5} b^{3} c d^{8} g^{4} e^{4}}{{\left(b x + a\right)}^{2}} - \frac{94 \, {\left(d x e + c e\right)}^{2} B a^{6} b^{2} d^{9} g^{4} e^{4}}{{\left(b x + a\right)}^{2}} + \frac{54 \, {\left(d x e + c e\right)}^{3} B b^{9} c^{6} d^{2} g^{4} e^{3}}{{\left(b x + a\right)}^{3}} - \frac{324 \, {\left(d x e + c e\right)}^{3} B a b^{8} c^{5} d^{3} g^{4} e^{3}}{{\left(b x + a\right)}^{3}} + \frac{810 \, {\left(d x e + c e\right)}^{3} B a^{2} b^{7} c^{4} d^{4} g^{4} e^{3}}{{\left(b x + a\right)}^{3}} - \frac{1080 \, {\left(d x e + c e\right)}^{3} B a^{3} b^{6} c^{3} d^{5} g^{4} e^{3}}{{\left(b x + a\right)}^{3}} + \frac{810 \, {\left(d x e + c e\right)}^{3} B a^{4} b^{5} c^{2} d^{6} g^{4} e^{3}}{{\left(b x + a\right)}^{3}} - \frac{324 \, {\left(d x e + c e\right)}^{3} B a^{5} b^{4} c d^{7} g^{4} e^{3}}{{\left(b x + a\right)}^{3}} + \frac{54 \, {\left(d x e + c e\right)}^{3} B a^{6} b^{3} d^{8} g^{4} e^{3}}{{\left(b x + a\right)}^{3}} - \frac{12 \, {\left(d x e + c e\right)}^{4} B b^{10} c^{6} d g^{4} e^{2}}{{\left(b x + a\right)}^{4}} + \frac{72 \, {\left(d x e + c e\right)}^{4} B a b^{9} c^{5} d^{2} g^{4} e^{2}}{{\left(b x + a\right)}^{4}} - \frac{180 \, {\left(d x e + c e\right)}^{4} B a^{2} b^{8} c^{4} d^{3} g^{4} e^{2}}{{\left(b x + a\right)}^{4}} + \frac{240 \, {\left(d x e + c e\right)}^{4} B a^{3} b^{7} c^{3} d^{4} g^{4} e^{2}}{{\left(b x + a\right)}^{4}} - \frac{180 \, {\left(d x e + c e\right)}^{4} B a^{4} b^{6} c^{2} d^{5} g^{4} e^{2}}{{\left(b x + a\right)}^{4}} + \frac{72 \, {\left(d x e + c e\right)}^{4} B a^{5} b^{5} c d^{6} g^{4} e^{2}}{{\left(b x + a\right)}^{4}} - \frac{12 \, {\left(d x e + c e\right)}^{4} B a^{6} b^{4} d^{7} g^{4} e^{2}}{{\left(b x + a\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 d^{10} e^{5} - \frac{5 \, {\left(d x e + c e\right)} b^{2} d^{9} e^{4}}{b x + a} + \frac{10 \, {\left(d x e + c e\right)}^{2} b^{3} d^{8} e^{3}}{{\left(b x + a\right)}^{2}} - \frac{10 \, {\left(d x e + c e\right)}^{3} b^{4} d^{7} e^{2}}{{\left(b x + a\right)}^{3}} + \frac{5 \, {\left(d x e + c e\right)}^{4} b^{5} d^{6} e}{{\left(b x + a\right)}^{4}} - \frac{{\left(d x e + c e\right)}^{5} b^{6} d^{5}}{{\left(b x + a\right)}^{5}}\right)}}"," ",0,"-1/60*(12*B*b^6*c^6*d^5*g^4*e^6*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 72*B*a*b^5*c^5*d^6*g^4*e^6*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) + 180*B*a^2*b^4*c^4*d^7*g^4*e^6*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 240*B*a^3*b^3*c^3*d^8*g^4*e^6*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) + 180*B*a^4*b^2*c^2*d^9*g^4*e^6*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 72*B*a^5*b*c*d^10*g^4*e^6*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) + 12*B*a^6*d^11*g^4*e^6*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 60*(d*x*e + c*e)*B*b^7*c^6*d^4*g^4*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 360*(d*x*e + c*e)*B*a*b^6*c^5*d^5*g^4*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) - 900*(d*x*e + c*e)*B*a^2*b^5*c^4*d^6*g^4*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 1200*(d*x*e + c*e)*B*a^3*b^4*c^3*d^7*g^4*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) - 900*(d*x*e + c*e)*B*a^4*b^3*c^2*d^8*g^4*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 360*(d*x*e + c*e)*B*a^5*b^2*c*d^9*g^4*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) - 60*(d*x*e + c*e)*B*a^6*b*d^10*g^4*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 120*(d*x*e + c*e)^2*B*b^8*c^6*d^3*g^4*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 720*(d*x*e + c*e)^2*B*a*b^7*c^5*d^4*g^4*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 + 1800*(d*x*e + c*e)^2*B*a^2*b^6*c^4*d^5*g^4*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 2400*(d*x*e + c*e)^2*B*a^3*b^5*c^3*d^6*g^4*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 + 1800*(d*x*e + c*e)^2*B*a^4*b^4*c^2*d^7*g^4*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 720*(d*x*e + c*e)^2*B*a^5*b^3*c*d^8*g^4*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 + 120*(d*x*e + c*e)^2*B*a^6*b^2*d^9*g^4*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 120*(d*x*e + c*e)^3*B*b^9*c^6*d^2*g^4*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 720*(d*x*e + c*e)^3*B*a*b^8*c^5*d^3*g^4*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 - 1800*(d*x*e + c*e)^3*B*a^2*b^7*c^4*d^4*g^4*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 2400*(d*x*e + c*e)^3*B*a^3*b^6*c^3*d^5*g^4*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 - 1800*(d*x*e + c*e)^3*B*a^4*b^5*c^2*d^6*g^4*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 720*(d*x*e + c*e)^3*B*a^5*b^4*c*d^7*g^4*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 - 120*(d*x*e + c*e)^3*B*a^6*b^3*d^8*g^4*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 60*(d*x*e + c*e)^4*B*b^10*c^6*d*g^4*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 - 360*(d*x*e + c*e)^4*B*a*b^9*c^5*d^2*g^4*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 + 900*(d*x*e + c*e)^4*B*a^2*b^8*c^4*d^3*g^4*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 - 1200*(d*x*e + c*e)^4*B*a^3*b^7*c^3*d^4*g^4*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 + 900*(d*x*e + c*e)^4*B*a^4*b^6*c^2*d^5*g^4*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 - 360*(d*x*e + c*e)^4*B*a^5*b^5*c*d^6*g^4*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 + 60*(d*x*e + c*e)^4*B*a^6*b^4*d^7*g^4*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 - 12*(d*x*e + c*e)^5*B*b^11*c^6*g^4*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^5 + 72*(d*x*e + c*e)^5*B*a*b^10*c^5*d*g^4*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^5 - 180*(d*x*e + c*e)^5*B*a^2*b^9*c^4*d^2*g^4*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^5 + 240*(d*x*e + c*e)^5*B*a^3*b^8*c^3*d^3*g^4*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^5 - 180*(d*x*e + c*e)^5*B*a^4*b^7*c^2*d^4*g^4*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^5 + 72*(d*x*e + c*e)^5*B*a^5*b^6*c*d^5*g^4*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^5 - 12*(d*x*e + c*e)^5*B*a^6*b^5*d^6*g^4*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^5 + 60*(d*x*e + c*e)*B*b^7*c^6*d^4*g^4*e^5*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 360*(d*x*e + c*e)*B*a*b^6*c^5*d^5*g^4*e^5*log((d*x*e + c*e)/(b*x + a))/(b*x + a) + 900*(d*x*e + c*e)*B*a^2*b^5*c^4*d^6*g^4*e^5*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 1200*(d*x*e + c*e)*B*a^3*b^4*c^3*d^7*g^4*e^5*log((d*x*e + c*e)/(b*x + a))/(b*x + a) + 900*(d*x*e + c*e)*B*a^4*b^3*c^2*d^8*g^4*e^5*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 360*(d*x*e + c*e)*B*a^5*b^2*c*d^9*g^4*e^5*log((d*x*e + c*e)/(b*x + a))/(b*x + a) + 60*(d*x*e + c*e)*B*a^6*b*d^10*g^4*e^5*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 120*(d*x*e + c*e)^2*B*b^8*c^6*d^3*g^4*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 720*(d*x*e + c*e)^2*B*a*b^7*c^5*d^4*g^4*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 - 1800*(d*x*e + c*e)^2*B*a^2*b^6*c^4*d^5*g^4*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 2400*(d*x*e + c*e)^2*B*a^3*b^5*c^3*d^6*g^4*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 - 1800*(d*x*e + c*e)^2*B*a^4*b^4*c^2*d^7*g^4*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 720*(d*x*e + c*e)^2*B*a^5*b^3*c*d^8*g^4*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 - 120*(d*x*e + c*e)^2*B*a^6*b^2*d^9*g^4*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 120*(d*x*e + c*e)^3*B*b^9*c^6*d^2*g^4*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 720*(d*x*e + c*e)^3*B*a*b^8*c^5*d^3*g^4*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 1800*(d*x*e + c*e)^3*B*a^2*b^7*c^4*d^4*g^4*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 2400*(d*x*e + c*e)^3*B*a^3*b^6*c^3*d^5*g^4*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 1800*(d*x*e + c*e)^3*B*a^4*b^5*c^2*d^6*g^4*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 720*(d*x*e + c*e)^3*B*a^5*b^4*c*d^7*g^4*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 120*(d*x*e + c*e)^3*B*a^6*b^3*d^8*g^4*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 60*(d*x*e + c*e)^4*B*b^10*c^6*d*g^4*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 + 360*(d*x*e + c*e)^4*B*a*b^9*c^5*d^2*g^4*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 - 900*(d*x*e + c*e)^4*B*a^2*b^8*c^4*d^3*g^4*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 + 1200*(d*x*e + c*e)^4*B*a^3*b^7*c^3*d^4*g^4*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 - 900*(d*x*e + c*e)^4*B*a^4*b^6*c^2*d^5*g^4*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 + 360*(d*x*e + c*e)^4*B*a^5*b^5*c*d^6*g^4*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 - 60*(d*x*e + c*e)^4*B*a^6*b^4*d^7*g^4*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 + 12*(d*x*e + c*e)^5*B*b^11*c^6*g^4*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^5 - 72*(d*x*e + c*e)^5*B*a*b^10*c^5*d*g^4*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^5 + 180*(d*x*e + c*e)^5*B*a^2*b^9*c^4*d^2*g^4*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^5 - 240*(d*x*e + c*e)^5*B*a^3*b^8*c^3*d^3*g^4*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^5 + 180*(d*x*e + c*e)^5*B*a^4*b^7*c^2*d^4*g^4*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^5 - 72*(d*x*e + c*e)^5*B*a^5*b^6*c*d^5*g^4*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^5 + 12*(d*x*e + c*e)^5*B*a^6*b^5*d^6*g^4*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^5 + 12*A*b^6*c^6*d^5*g^4*e^6 - 25*B*b^6*c^6*d^5*g^4*e^6 - 72*A*a*b^5*c^5*d^6*g^4*e^6 + 150*B*a*b^5*c^5*d^6*g^4*e^6 + 180*A*a^2*b^4*c^4*d^7*g^4*e^6 - 375*B*a^2*b^4*c^4*d^7*g^4*e^6 - 240*A*a^3*b^3*c^3*d^8*g^4*e^6 + 500*B*a^3*b^3*c^3*d^8*g^4*e^6 + 180*A*a^4*b^2*c^2*d^9*g^4*e^6 - 375*B*a^4*b^2*c^2*d^9*g^4*e^6 - 72*A*a^5*b*c*d^10*g^4*e^6 + 150*B*a^5*b*c*d^10*g^4*e^6 + 12*A*a^6*d^11*g^4*e^6 - 25*B*a^6*d^11*g^4*e^6 + 77*(d*x*e + c*e)*B*b^7*c^6*d^4*g^4*e^5/(b*x + a) - 462*(d*x*e + c*e)*B*a*b^6*c^5*d^5*g^4*e^5/(b*x + a) + 1155*(d*x*e + c*e)*B*a^2*b^5*c^4*d^6*g^4*e^5/(b*x + a) - 1540*(d*x*e + c*e)*B*a^3*b^4*c^3*d^7*g^4*e^5/(b*x + a) + 1155*(d*x*e + c*e)*B*a^4*b^3*c^2*d^8*g^4*e^5/(b*x + a) - 462*(d*x*e + c*e)*B*a^5*b^2*c*d^9*g^4*e^5/(b*x + a) + 77*(d*x*e + c*e)*B*a^6*b*d^10*g^4*e^5/(b*x + a) - 94*(d*x*e + c*e)^2*B*b^8*c^6*d^3*g^4*e^4/(b*x + a)^2 + 564*(d*x*e + c*e)^2*B*a*b^7*c^5*d^4*g^4*e^4/(b*x + a)^2 - 1410*(d*x*e + c*e)^2*B*a^2*b^6*c^4*d^5*g^4*e^4/(b*x + a)^2 + 1880*(d*x*e + c*e)^2*B*a^3*b^5*c^3*d^6*g^4*e^4/(b*x + a)^2 - 1410*(d*x*e + c*e)^2*B*a^4*b^4*c^2*d^7*g^4*e^4/(b*x + a)^2 + 564*(d*x*e + c*e)^2*B*a^5*b^3*c*d^8*g^4*e^4/(b*x + a)^2 - 94*(d*x*e + c*e)^2*B*a^6*b^2*d^9*g^4*e^4/(b*x + a)^2 + 54*(d*x*e + c*e)^3*B*b^9*c^6*d^2*g^4*e^3/(b*x + a)^3 - 324*(d*x*e + c*e)^3*B*a*b^8*c^5*d^3*g^4*e^3/(b*x + a)^3 + 810*(d*x*e + c*e)^3*B*a^2*b^7*c^4*d^4*g^4*e^3/(b*x + a)^3 - 1080*(d*x*e + c*e)^3*B*a^3*b^6*c^3*d^5*g^4*e^3/(b*x + a)^3 + 810*(d*x*e + c*e)^3*B*a^4*b^5*c^2*d^6*g^4*e^3/(b*x + a)^3 - 324*(d*x*e + c*e)^3*B*a^5*b^4*c*d^7*g^4*e^3/(b*x + a)^3 + 54*(d*x*e + c*e)^3*B*a^6*b^3*d^8*g^4*e^3/(b*x + a)^3 - 12*(d*x*e + c*e)^4*B*b^10*c^6*d*g^4*e^2/(b*x + a)^4 + 72*(d*x*e + c*e)^4*B*a*b^9*c^5*d^2*g^4*e^2/(b*x + a)^4 - 180*(d*x*e + c*e)^4*B*a^2*b^8*c^4*d^3*g^4*e^2/(b*x + a)^4 + 240*(d*x*e + c*e)^4*B*a^3*b^7*c^3*d^4*g^4*e^2/(b*x + a)^4 - 180*(d*x*e + c*e)^4*B*a^4*b^6*c^2*d^5*g^4*e^2/(b*x + a)^4 + 72*(d*x*e + c*e)^4*B*a^5*b^5*c*d^6*g^4*e^2/(b*x + a)^4 - 12*(d*x*e + c*e)^4*B*a^6*b^4*d^7*g^4*e^2/(b*x + a)^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*d^10*e^5 - 5*(d*x*e + c*e)*b^2*d^9*e^4/(b*x + a) + 10*(d*x*e + c*e)^2*b^3*d^8*e^3/(b*x + a)^2 - 10*(d*x*e + c*e)^3*b^4*d^7*e^2/(b*x + a)^3 + 5*(d*x*e + c*e)^4*b^5*d^6*e/(b*x + a)^4 - (d*x*e + c*e)^5*b^6*d^5/(b*x + a)^5)","B",0
174,1,4137,0,1.192407," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""giac"")","\frac{{\left(6 \, B b^{5} c^{5} d^{4} g^{3} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - 30 \, B a b^{4} c^{4} d^{5} g^{3} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) + 60 \, B a^{2} b^{3} c^{3} d^{6} g^{3} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - 60 \, B a^{3} b^{2} c^{2} d^{7} g^{3} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) + 30 \, B a^{4} b c d^{8} g^{3} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - 6 \, B a^{5} d^{9} g^{3} e^{5} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - \frac{24 \, {\left(d x e + c e\right)} B b^{6} c^{5} d^{3} g^{3} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{120 \, {\left(d x e + c e\right)} B a b^{5} c^{4} d^{4} g^{3} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} - \frac{240 \, {\left(d x e + c e\right)} B a^{2} b^{4} c^{3} d^{5} g^{3} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{240 \, {\left(d x e + c e\right)} B a^{3} b^{3} c^{2} d^{6} g^{3} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} - \frac{120 \, {\left(d x e + c e\right)} B a^{4} b^{2} c d^{7} g^{3} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{24 \, {\left(d x e + c e\right)} B a^{5} b d^{8} g^{3} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{36 \, {\left(d x e + c e\right)}^{2} B b^{7} c^{5} d^{2} g^{3} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{180 \, {\left(d x e + c e\right)}^{2} B a b^{6} c^{4} d^{3} g^{3} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{360 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} g^{3} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{360 \, {\left(d x e + c e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} g^{3} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{180 \, {\left(d x e + c e\right)}^{2} B a^{4} b^{3} c d^{6} g^{3} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{36 \, {\left(d x e + c e\right)}^{2} B a^{5} b^{2} d^{7} g^{3} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{24 \, {\left(d x e + c e\right)}^{3} B b^{8} c^{5} d g^{3} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{120 \, {\left(d x e + c e\right)}^{3} B a b^{7} c^{4} d^{2} g^{3} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{240 \, {\left(d x e + c e\right)}^{3} B a^{2} b^{6} c^{3} d^{3} g^{3} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{240 \, {\left(d x e + c e\right)}^{3} B a^{3} b^{5} c^{2} d^{4} g^{3} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{120 \, {\left(d x e + c e\right)}^{3} B a^{4} b^{4} c d^{5} g^{3} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{24 \, {\left(d x e + c e\right)}^{3} B a^{5} b^{3} d^{6} g^{3} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{6 \, {\left(d x e + c e\right)}^{4} B b^{9} c^{5} g^{3} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{30 \, {\left(d x e + c e\right)}^{4} B a b^{8} c^{4} d g^{3} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{60 \, {\left(d x e + c e\right)}^{4} B a^{2} b^{7} c^{3} d^{2} g^{3} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{60 \, {\left(d x e + c e\right)}^{4} B a^{3} b^{6} c^{2} d^{3} g^{3} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{30 \, {\left(d x e + c e\right)}^{4} B a^{4} b^{5} c d^{4} g^{3} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{6 \, {\left(d x e + c e\right)}^{4} B a^{5} b^{4} d^{5} g^{3} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{24 \, {\left(d x e + c e\right)} B b^{6} c^{5} d^{3} g^{3} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{120 \, {\left(d x e + c e\right)} B a b^{5} c^{4} d^{4} g^{3} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} + \frac{240 \, {\left(d x e + c e\right)} B a^{2} b^{4} c^{3} d^{5} g^{3} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{240 \, {\left(d x e + c e\right)} B a^{3} b^{3} c^{2} d^{6} g^{3} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} + \frac{120 \, {\left(d x e + c e\right)} B a^{4} b^{2} c d^{7} g^{3} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{24 \, {\left(d x e + c e\right)} B a^{5} b d^{8} g^{3} e^{4} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{36 \, {\left(d x e + c e\right)}^{2} B b^{7} c^{5} d^{2} g^{3} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{180 \, {\left(d x e + c e\right)}^{2} B a b^{6} c^{4} d^{3} g^{3} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{360 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} g^{3} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{360 \, {\left(d x e + c e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} g^{3} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{180 \, {\left(d x e + c e\right)}^{2} B a^{4} b^{3} c d^{6} g^{3} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{36 \, {\left(d x e + c e\right)}^{2} B a^{5} b^{2} d^{7} g^{3} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{24 \, {\left(d x e + c e\right)}^{3} B b^{8} c^{5} d g^{3} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{120 \, {\left(d x e + c e\right)}^{3} B a b^{7} c^{4} d^{2} g^{3} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{240 \, {\left(d x e + c e\right)}^{3} B a^{2} b^{6} c^{3} d^{3} g^{3} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{240 \, {\left(d x e + c e\right)}^{3} B a^{3} b^{5} c^{2} d^{4} g^{3} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{120 \, {\left(d x e + c e\right)}^{3} B a^{4} b^{4} c d^{5} g^{3} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{24 \, {\left(d x e + c e\right)}^{3} B a^{5} b^{3} d^{6} g^{3} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{6 \, {\left(d x e + c e\right)}^{4} B b^{9} c^{5} g^{3} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{30 \, {\left(d x e + c e\right)}^{4} B a b^{8} c^{4} d g^{3} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{60 \, {\left(d x e + c e\right)}^{4} B a^{2} b^{7} c^{3} d^{2} g^{3} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{60 \, {\left(d x e + c e\right)}^{4} B a^{3} b^{6} c^{2} d^{3} g^{3} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{30 \, {\left(d x e + c e\right)}^{4} B a^{4} b^{5} c d^{4} g^{3} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{6 \, {\left(d x e + c e\right)}^{4} B a^{5} b^{4} d^{5} g^{3} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + 6 \, A b^{5} c^{5} d^{4} g^{3} e^{5} - 11 \, B b^{5} c^{5} d^{4} g^{3} e^{5} - 30 \, A a b^{4} c^{4} d^{5} g^{3} e^{5} + 55 \, B a b^{4} c^{4} d^{5} g^{3} e^{5} + 60 \, A a^{2} b^{3} c^{3} d^{6} g^{3} e^{5} - 110 \, B a^{2} b^{3} c^{3} d^{6} g^{3} e^{5} - 60 \, A a^{3} b^{2} c^{2} d^{7} g^{3} e^{5} + 110 \, B a^{3} b^{2} c^{2} d^{7} g^{3} e^{5} + 30 \, A a^{4} b c d^{8} g^{3} e^{5} - 55 \, B a^{4} b c d^{8} g^{3} e^{5} - 6 \, A a^{5} d^{9} g^{3} e^{5} + 11 \, B a^{5} d^{9} g^{3} e^{5} + \frac{26 \, {\left(d x e + c e\right)} B b^{6} c^{5} d^{3} g^{3} e^{4}}{b x + a} - \frac{130 \, {\left(d x e + c e\right)} B a b^{5} c^{4} d^{4} g^{3} e^{4}}{b x + a} + \frac{260 \, {\left(d x e + c e\right)} B a^{2} b^{4} c^{3} d^{5} g^{3} e^{4}}{b x + a} - \frac{260 \, {\left(d x e + c e\right)} B a^{3} b^{3} c^{2} d^{6} g^{3} e^{4}}{b x + a} + \frac{130 \, {\left(d x e + c e\right)} B a^{4} b^{2} c d^{7} g^{3} e^{4}}{b x + a} - \frac{26 \, {\left(d x e + c e\right)} B a^{5} b d^{8} g^{3} e^{4}}{b x + a} - \frac{21 \, {\left(d x e + c e\right)}^{2} B b^{7} c^{5} d^{2} g^{3} e^{3}}{{\left(b x + a\right)}^{2}} + \frac{105 \, {\left(d x e + c e\right)}^{2} B a b^{6} c^{4} d^{3} g^{3} e^{3}}{{\left(b x + a\right)}^{2}} - \frac{210 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} g^{3} e^{3}}{{\left(b x + a\right)}^{2}} + \frac{210 \, {\left(d x e + c e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} g^{3} e^{3}}{{\left(b x + a\right)}^{2}} - \frac{105 \, {\left(d x e + c e\right)}^{2} B a^{4} b^{3} c d^{6} g^{3} e^{3}}{{\left(b x + a\right)}^{2}} + \frac{21 \, {\left(d x e + c e\right)}^{2} B a^{5} b^{2} d^{7} g^{3} e^{3}}{{\left(b x + a\right)}^{2}} + \frac{6 \, {\left(d x e + c e\right)}^{3} B b^{8} c^{5} d g^{3} e^{2}}{{\left(b x + a\right)}^{3}} - \frac{30 \, {\left(d x e + c e\right)}^{3} B a b^{7} c^{4} d^{2} g^{3} e^{2}}{{\left(b x + a\right)}^{3}} + \frac{60 \, {\left(d x e + c e\right)}^{3} B a^{2} b^{6} c^{3} d^{3} g^{3} e^{2}}{{\left(b x + a\right)}^{3}} - \frac{60 \, {\left(d x e + c e\right)}^{3} B a^{3} b^{5} c^{2} d^{4} g^{3} e^{2}}{{\left(b x + a\right)}^{3}} + \frac{30 \, {\left(d x e + c e\right)}^{3} B a^{4} b^{4} c d^{5} g^{3} e^{2}}{{\left(b x + a\right)}^{3}} - \frac{6 \, {\left(d x e + c e\right)}^{3} B a^{5} b^{3} d^{6} g^{3} e^{2}}{{\left(b x + a\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 d^{8} e^{4} - \frac{4 \, {\left(d x e + c e\right)} b^{2} d^{7} e^{3}}{b x + a} + \frac{6 \, {\left(d x e + c e\right)}^{2} b^{3} d^{6} e^{2}}{{\left(b x + a\right)}^{2}} - \frac{4 \, {\left(d x e + c e\right)}^{3} b^{4} d^{5} e}{{\left(b x + a\right)}^{3}} + \frac{{\left(d x e + c e\right)}^{4} b^{5} d^{4}}{{\left(b x + a\right)}^{4}}\right)}}"," ",0,"1/24*(6*B*b^5*c^5*d^4*g^3*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 30*B*a*b^4*c^4*d^5*g^3*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) + 60*B*a^2*b^3*c^3*d^6*g^3*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 60*B*a^3*b^2*c^2*d^7*g^3*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) + 30*B*a^4*b*c*d^8*g^3*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 6*B*a^5*d^9*g^3*e^5*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 24*(d*x*e + c*e)*B*b^6*c^5*d^3*g^3*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 120*(d*x*e + c*e)*B*a*b^5*c^4*d^4*g^3*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) - 240*(d*x*e + c*e)*B*a^2*b^4*c^3*d^5*g^3*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 240*(d*x*e + c*e)*B*a^3*b^3*c^2*d^6*g^3*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) - 120*(d*x*e + c*e)*B*a^4*b^2*c*d^7*g^3*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 24*(d*x*e + c*e)*B*a^5*b*d^8*g^3*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 36*(d*x*e + c*e)^2*B*b^7*c^5*d^2*g^3*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 180*(d*x*e + c*e)^2*B*a*b^6*c^4*d^3*g^3*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 + 360*(d*x*e + c*e)^2*B*a^2*b^5*c^3*d^4*g^3*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 360*(d*x*e + c*e)^2*B*a^3*b^4*c^2*d^5*g^3*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 + 180*(d*x*e + c*e)^2*B*a^4*b^3*c*d^6*g^3*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 36*(d*x*e + c*e)^2*B*a^5*b^2*d^7*g^3*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 24*(d*x*e + c*e)^3*B*b^8*c^5*d*g^3*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 120*(d*x*e + c*e)^3*B*a*b^7*c^4*d^2*g^3*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 - 240*(d*x*e + c*e)^3*B*a^2*b^6*c^3*d^3*g^3*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 240*(d*x*e + c*e)^3*B*a^3*b^5*c^2*d^4*g^3*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 - 120*(d*x*e + c*e)^3*B*a^4*b^4*c*d^5*g^3*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 24*(d*x*e + c*e)^3*B*a^5*b^3*d^6*g^3*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 6*(d*x*e + c*e)^4*B*b^9*c^5*g^3*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 - 30*(d*x*e + c*e)^4*B*a*b^8*c^4*d*g^3*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 + 60*(d*x*e + c*e)^4*B*a^2*b^7*c^3*d^2*g^3*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 - 60*(d*x*e + c*e)^4*B*a^3*b^6*c^2*d^3*g^3*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 + 30*(d*x*e + c*e)^4*B*a^4*b^5*c*d^4*g^3*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 - 6*(d*x*e + c*e)^4*B*a^5*b^4*d^5*g^3*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^4 + 24*(d*x*e + c*e)*B*b^6*c^5*d^3*g^3*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 120*(d*x*e + c*e)*B*a*b^5*c^4*d^4*g^3*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a) + 240*(d*x*e + c*e)*B*a^2*b^4*c^3*d^5*g^3*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 240*(d*x*e + c*e)*B*a^3*b^3*c^2*d^6*g^3*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a) + 120*(d*x*e + c*e)*B*a^4*b^2*c*d^7*g^3*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 24*(d*x*e + c*e)*B*a^5*b*d^8*g^3*e^4*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 36*(d*x*e + c*e)^2*B*b^7*c^5*d^2*g^3*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 180*(d*x*e + c*e)^2*B*a*b^6*c^4*d^3*g^3*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 - 360*(d*x*e + c*e)^2*B*a^2*b^5*c^3*d^4*g^3*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 360*(d*x*e + c*e)^2*B*a^3*b^4*c^2*d^5*g^3*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 - 180*(d*x*e + c*e)^2*B*a^4*b^3*c*d^6*g^3*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 36*(d*x*e + c*e)^2*B*a^5*b^2*d^7*g^3*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 24*(d*x*e + c*e)^3*B*b^8*c^5*d*g^3*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 120*(d*x*e + c*e)^3*B*a*b^7*c^4*d^2*g^3*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 240*(d*x*e + c*e)^3*B*a^2*b^6*c^3*d^3*g^3*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 240*(d*x*e + c*e)^3*B*a^3*b^5*c^2*d^4*g^3*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 120*(d*x*e + c*e)^3*B*a^4*b^4*c*d^5*g^3*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 24*(d*x*e + c*e)^3*B*a^5*b^3*d^6*g^3*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 6*(d*x*e + c*e)^4*B*b^9*c^5*g^3*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 + 30*(d*x*e + c*e)^4*B*a*b^8*c^4*d*g^3*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 - 60*(d*x*e + c*e)^4*B*a^2*b^7*c^3*d^2*g^3*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 + 60*(d*x*e + c*e)^4*B*a^3*b^6*c^2*d^3*g^3*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 - 30*(d*x*e + c*e)^4*B*a^4*b^5*c*d^4*g^3*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 + 6*(d*x*e + c*e)^4*B*a^5*b^4*d^5*g^3*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 + 6*A*b^5*c^5*d^4*g^3*e^5 - 11*B*b^5*c^5*d^4*g^3*e^5 - 30*A*a*b^4*c^4*d^5*g^3*e^5 + 55*B*a*b^4*c^4*d^5*g^3*e^5 + 60*A*a^2*b^3*c^3*d^6*g^3*e^5 - 110*B*a^2*b^3*c^3*d^6*g^3*e^5 - 60*A*a^3*b^2*c^2*d^7*g^3*e^5 + 110*B*a^3*b^2*c^2*d^7*g^3*e^5 + 30*A*a^4*b*c*d^8*g^3*e^5 - 55*B*a^4*b*c*d^8*g^3*e^5 - 6*A*a^5*d^9*g^3*e^5 + 11*B*a^5*d^9*g^3*e^5 + 26*(d*x*e + c*e)*B*b^6*c^5*d^3*g^3*e^4/(b*x + a) - 130*(d*x*e + c*e)*B*a*b^5*c^4*d^4*g^3*e^4/(b*x + a) + 260*(d*x*e + c*e)*B*a^2*b^4*c^3*d^5*g^3*e^4/(b*x + a) - 260*(d*x*e + c*e)*B*a^3*b^3*c^2*d^6*g^3*e^4/(b*x + a) + 130*(d*x*e + c*e)*B*a^4*b^2*c*d^7*g^3*e^4/(b*x + a) - 26*(d*x*e + c*e)*B*a^5*b*d^8*g^3*e^4/(b*x + a) - 21*(d*x*e + c*e)^2*B*b^7*c^5*d^2*g^3*e^3/(b*x + a)^2 + 105*(d*x*e + c*e)^2*B*a*b^6*c^4*d^3*g^3*e^3/(b*x + a)^2 - 210*(d*x*e + c*e)^2*B*a^2*b^5*c^3*d^4*g^3*e^3/(b*x + a)^2 + 210*(d*x*e + c*e)^2*B*a^3*b^4*c^2*d^5*g^3*e^3/(b*x + a)^2 - 105*(d*x*e + c*e)^2*B*a^4*b^3*c*d^6*g^3*e^3/(b*x + a)^2 + 21*(d*x*e + c*e)^2*B*a^5*b^2*d^7*g^3*e^3/(b*x + a)^2 + 6*(d*x*e + c*e)^3*B*b^8*c^5*d*g^3*e^2/(b*x + a)^3 - 30*(d*x*e + c*e)^3*B*a*b^7*c^4*d^2*g^3*e^2/(b*x + a)^3 + 60*(d*x*e + c*e)^3*B*a^2*b^6*c^3*d^3*g^3*e^2/(b*x + a)^3 - 60*(d*x*e + c*e)^3*B*a^3*b^5*c^2*d^4*g^3*e^2/(b*x + a)^3 + 30*(d*x*e + c*e)^3*B*a^4*b^4*c*d^5*g^3*e^2/(b*x + a)^3 - 6*(d*x*e + c*e)^3*B*a^5*b^3*d^6*g^3*e^2/(b*x + a)^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*d^8*e^4 - 4*(d*x*e + c*e)*b^2*d^7*e^3/(b*x + a) + 6*(d*x*e + c*e)^2*b^3*d^6*e^2/(b*x + a)^2 - 4*(d*x*e + c*e)^3*b^4*d^5*e/(b*x + a)^3 + (d*x*e + c*e)^4*b^5*d^4/(b*x + a)^4)","B",0
175,1,2640,0,0.887258," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""giac"")","-\frac{{\left(2 \, B b^{4} c^{4} d^{3} g^{2} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - 8 \, B a b^{3} c^{3} d^{4} g^{2} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) + 12 \, B a^{2} b^{2} c^{2} d^{5} g^{2} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - 8 \, B a^{3} b c d^{6} g^{2} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) + 2 \, B a^{4} d^{7} g^{2} e^{4} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - \frac{6 \, {\left(d x e + c e\right)} B b^{5} c^{4} d^{2} g^{2} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{24 \, {\left(d x e + c e\right)} B a b^{4} c^{3} d^{3} g^{2} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} - \frac{36 \, {\left(d x e + c e\right)} B a^{2} b^{3} c^{2} d^{4} g^{2} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{24 \, {\left(d x e + c e\right)} B a^{3} b^{2} c d^{5} g^{2} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} - \frac{6 \, {\left(d x e + c e\right)} B a^{4} b d^{6} g^{2} e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{6 \, {\left(d x e + c e\right)}^{2} B b^{6} c^{4} d g^{2} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{24 \, {\left(d x e + c e\right)}^{2} B a b^{5} c^{3} d^{2} g^{2} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{36 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{4} c^{2} d^{3} g^{2} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{24 \, {\left(d x e + c e\right)}^{2} B a^{3} b^{3} c d^{4} g^{2} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{6 \, {\left(d x e + c e\right)}^{2} B a^{4} b^{2} d^{5} g^{2} e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{2 \, {\left(d x e + c e\right)}^{3} B b^{7} c^{4} g^{2} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{8 \, {\left(d x e + c e\right)}^{3} B a b^{6} c^{3} d g^{2} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{12 \, {\left(d x e + c e\right)}^{3} B a^{2} b^{5} c^{2} d^{2} g^{2} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{8 \, {\left(d x e + c e\right)}^{3} B a^{3} b^{4} c d^{3} g^{2} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{2 \, {\left(d x e + c e\right)}^{3} B a^{4} b^{3} d^{4} g^{2} e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{6 \, {\left(d x e + c e\right)} B b^{5} c^{4} d^{2} g^{2} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{24 \, {\left(d x e + c e\right)} B a b^{4} c^{3} d^{3} g^{2} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} + \frac{36 \, {\left(d x e + c e\right)} B a^{2} b^{3} c^{2} d^{4} g^{2} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{24 \, {\left(d x e + c e\right)} B a^{3} b^{2} c d^{5} g^{2} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} + \frac{6 \, {\left(d x e + c e\right)} B a^{4} b d^{6} g^{2} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{6 \, {\left(d x e + c e\right)}^{2} B b^{6} c^{4} d g^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{24 \, {\left(d x e + c e\right)}^{2} B a b^{5} c^{3} d^{2} g^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{36 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{4} c^{2} d^{3} g^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{24 \, {\left(d x e + c e\right)}^{2} B a^{3} b^{3} c d^{4} g^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{6 \, {\left(d x e + c e\right)}^{2} B a^{4} b^{2} d^{5} g^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{2 \, {\left(d x e + c e\right)}^{3} B b^{7} c^{4} g^{2} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{8 \, {\left(d x e + c e\right)}^{3} B a b^{6} c^{3} d g^{2} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{12 \, {\left(d x e + c e\right)}^{3} B a^{2} b^{5} c^{2} d^{2} g^{2} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{8 \, {\left(d x e + c e\right)}^{3} B a^{3} b^{4} c d^{3} g^{2} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{2 \, {\left(d x e + c e\right)}^{3} B a^{4} b^{3} d^{4} g^{2} e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + 2 \, A b^{4} c^{4} d^{3} g^{2} e^{4} - 3 \, B b^{4} c^{4} d^{3} g^{2} e^{4} - 8 \, A a b^{3} c^{3} d^{4} g^{2} e^{4} + 12 \, B a b^{3} c^{3} d^{4} g^{2} e^{4} + 12 \, A a^{2} b^{2} c^{2} d^{5} g^{2} e^{4} - 18 \, B a^{2} b^{2} c^{2} d^{5} g^{2} e^{4} - 8 \, A a^{3} b c d^{6} g^{2} e^{4} + 12 \, B a^{3} b c d^{6} g^{2} e^{4} + 2 \, A a^{4} d^{7} g^{2} e^{4} - 3 \, B a^{4} d^{7} g^{2} e^{4} + \frac{5 \, {\left(d x e + c e\right)} B b^{5} c^{4} d^{2} g^{2} e^{3}}{b x + a} - \frac{20 \, {\left(d x e + c e\right)} B a b^{4} c^{3} d^{3} g^{2} e^{3}}{b x + a} + \frac{30 \, {\left(d x e + c e\right)} B a^{2} b^{3} c^{2} d^{4} g^{2} e^{3}}{b x + a} - \frac{20 \, {\left(d x e + c e\right)} B a^{3} b^{2} c d^{5} g^{2} e^{3}}{b x + a} + \frac{5 \, {\left(d x e + c e\right)} B a^{4} b d^{6} g^{2} e^{3}}{b x + a} - \frac{2 \, {\left(d x e + c e\right)}^{2} B b^{6} c^{4} d g^{2} e^{2}}{{\left(b x + a\right)}^{2}} + \frac{8 \, {\left(d x e + c e\right)}^{2} B a b^{5} c^{3} d^{2} g^{2} e^{2}}{{\left(b x + a\right)}^{2}} - \frac{12 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{4} c^{2} d^{3} g^{2} e^{2}}{{\left(b x + a\right)}^{2}} + \frac{8 \, {\left(d x e + c e\right)}^{2} B a^{3} b^{3} c d^{4} g^{2} e^{2}}{{\left(b x + a\right)}^{2}} - \frac{2 \, {\left(d x e + c e\right)}^{2} B a^{4} b^{2} d^{5} g^{2} e^{2}}{{\left(b x + a\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 d^{6} e^{3} - \frac{3 \, {\left(d x e + c e\right)} b^{2} d^{5} e^{2}}{b x + a} + \frac{3 \, {\left(d x e + c e\right)}^{2} b^{3} d^{4} e}{{\left(b x + a\right)}^{2}} - \frac{{\left(d x e + c e\right)}^{3} b^{4} d^{3}}{{\left(b x + a\right)}^{3}}\right)}}"," ",0,"-1/6*(2*B*b^4*c^4*d^3*g^2*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 8*B*a*b^3*c^3*d^4*g^2*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) + 12*B*a^2*b^2*c^2*d^5*g^2*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 8*B*a^3*b*c*d^6*g^2*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) + 2*B*a^4*d^7*g^2*e^4*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 6*(d*x*e + c*e)*B*b^5*c^4*d^2*g^2*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 24*(d*x*e + c*e)*B*a*b^4*c^3*d^3*g^2*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) - 36*(d*x*e + c*e)*B*a^2*b^3*c^2*d^4*g^2*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 24*(d*x*e + c*e)*B*a^3*b^2*c*d^5*g^2*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) - 6*(d*x*e + c*e)*B*a^4*b*d^6*g^2*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 6*(d*x*e + c*e)^2*B*b^6*c^4*d*g^2*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 24*(d*x*e + c*e)^2*B*a*b^5*c^3*d^2*g^2*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 + 36*(d*x*e + c*e)^2*B*a^2*b^4*c^2*d^3*g^2*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 24*(d*x*e + c*e)^2*B*a^3*b^3*c*d^4*g^2*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 + 6*(d*x*e + c*e)^2*B*a^4*b^2*d^5*g^2*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 2*(d*x*e + c*e)^3*B*b^7*c^4*g^2*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 8*(d*x*e + c*e)^3*B*a*b^6*c^3*d*g^2*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 - 12*(d*x*e + c*e)^3*B*a^2*b^5*c^2*d^2*g^2*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 8*(d*x*e + c*e)^3*B*a^3*b^4*c*d^3*g^2*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 - 2*(d*x*e + c*e)^3*B*a^4*b^3*d^4*g^2*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^3 + 6*(d*x*e + c*e)*B*b^5*c^4*d^2*g^2*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 24*(d*x*e + c*e)*B*a*b^4*c^3*d^3*g^2*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a) + 36*(d*x*e + c*e)*B*a^2*b^3*c^2*d^4*g^2*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 24*(d*x*e + c*e)*B*a^3*b^2*c*d^5*g^2*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a) + 6*(d*x*e + c*e)*B*a^4*b*d^6*g^2*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 6*(d*x*e + c*e)^2*B*b^6*c^4*d*g^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 24*(d*x*e + c*e)^2*B*a*b^5*c^3*d^2*g^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 - 36*(d*x*e + c*e)^2*B*a^2*b^4*c^2*d^3*g^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 24*(d*x*e + c*e)^2*B*a^3*b^3*c*d^4*g^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 - 6*(d*x*e + c*e)^2*B*a^4*b^2*d^5*g^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 2*(d*x*e + c*e)^3*B*b^7*c^4*g^2*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 8*(d*x*e + c*e)^3*B*a*b^6*c^3*d*g^2*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 12*(d*x*e + c*e)^3*B*a^2*b^5*c^2*d^2*g^2*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 8*(d*x*e + c*e)^3*B*a^3*b^4*c*d^3*g^2*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 2*(d*x*e + c*e)^3*B*a^4*b^3*d^4*g^2*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 2*A*b^4*c^4*d^3*g^2*e^4 - 3*B*b^4*c^4*d^3*g^2*e^4 - 8*A*a*b^3*c^3*d^4*g^2*e^4 + 12*B*a*b^3*c^3*d^4*g^2*e^4 + 12*A*a^2*b^2*c^2*d^5*g^2*e^4 - 18*B*a^2*b^2*c^2*d^5*g^2*e^4 - 8*A*a^3*b*c*d^6*g^2*e^4 + 12*B*a^3*b*c*d^6*g^2*e^4 + 2*A*a^4*d^7*g^2*e^4 - 3*B*a^4*d^7*g^2*e^4 + 5*(d*x*e + c*e)*B*b^5*c^4*d^2*g^2*e^3/(b*x + a) - 20*(d*x*e + c*e)*B*a*b^4*c^3*d^3*g^2*e^3/(b*x + a) + 30*(d*x*e + c*e)*B*a^2*b^3*c^2*d^4*g^2*e^3/(b*x + a) - 20*(d*x*e + c*e)*B*a^3*b^2*c*d^5*g^2*e^3/(b*x + a) + 5*(d*x*e + c*e)*B*a^4*b*d^6*g^2*e^3/(b*x + a) - 2*(d*x*e + c*e)^2*B*b^6*c^4*d*g^2*e^2/(b*x + a)^2 + 8*(d*x*e + c*e)^2*B*a*b^5*c^3*d^2*g^2*e^2/(b*x + a)^2 - 12*(d*x*e + c*e)^2*B*a^2*b^4*c^2*d^3*g^2*e^2/(b*x + a)^2 + 8*(d*x*e + c*e)^2*B*a^3*b^3*c*d^4*g^2*e^2/(b*x + a)^2 - 2*(d*x*e + c*e)^2*B*a^4*b^2*d^5*g^2*e^2/(b*x + a)^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*d^6*e^3 - 3*(d*x*e + c*e)*b^2*d^5*e^2/(b*x + a) + 3*(d*x*e + c*e)^2*b^3*d^4*e/(b*x + a)^2 - (d*x*e + c*e)^3*b^4*d^3/(b*x + a)^3)","B",0
176,1,1395,0,0.670023," ","integrate((b*g*x+a*g)*(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""giac"")","\frac{{\left(B b^{3} c^{3} d^{2} g e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - 3 \, B a b^{2} c^{2} d^{3} g e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) + 3 \, B a^{2} b c d^{4} g e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - B a^{3} d^{5} g e^{3} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right) - \frac{2 \, {\left(d x e + c e\right)} B b^{4} c^{3} d g e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{6 \, {\left(d x e + c e\right)} B a b^{3} c^{2} d^{2} g e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} - \frac{6 \, {\left(d x e + c e\right)} B a^{2} b^{2} c d^{3} g e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{2 \, {\left(d x e + c e\right)} B a^{3} b d^{4} g e^{2} \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{b x + a} + \frac{{\left(d x e + c e\right)}^{2} B b^{5} c^{3} g e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{3 \, {\left(d x e + c e\right)}^{2} B a b^{4} c^{2} d g e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{3 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{3} c d^{2} g e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{{\left(d x e + c e\right)}^{2} B a^{3} b^{2} d^{3} g e \log\left(-d e + \frac{{\left(d x e + c e\right)} b}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{2 \, {\left(d x e + c e\right)} B b^{4} c^{3} d g e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{6 \, {\left(d x e + c e\right)} B a b^{3} c^{2} d^{2} g e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} + \frac{6 \, {\left(d x e + c e\right)} B a^{2} b^{2} c d^{3} g e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{2 \, {\left(d x e + c e\right)} B a^{3} b d^{4} g e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{{\left(d x e + c e\right)}^{2} B b^{5} c^{3} g e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{3 \, {\left(d x e + c e\right)}^{2} B a b^{4} c^{2} d g e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{3 \, {\left(d x e + c e\right)}^{2} B a^{2} b^{3} c d^{2} g e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{{\left(d x e + c e\right)}^{2} B a^{3} b^{2} d^{3} g e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + A b^{3} c^{3} d^{2} g e^{3} - B b^{3} c^{3} d^{2} g e^{3} - 3 \, A a b^{2} c^{2} d^{3} g e^{3} + 3 \, B a b^{2} c^{2} d^{3} g e^{3} + 3 \, A a^{2} b c d^{4} g e^{3} - 3 \, B a^{2} b c d^{4} g e^{3} - A a^{3} d^{5} g e^{3} + B a^{3} d^{5} g e^{3} + \frac{{\left(d x e + c e\right)} B b^{4} c^{3} d g e^{2}}{b x + a} - \frac{3 \, {\left(d x e + c e\right)} B a b^{3} c^{2} d^{2} g e^{2}}{b x + a} + \frac{3 \, {\left(d x e + c e\right)} B a^{2} b^{2} c d^{3} g e^{2}}{b x + a} - \frac{{\left(d x e + c e\right)} B a^{3} b d^{4} g e^{2}}{b x + a}\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 d^{4} e^{2} - \frac{2 \, {\left(d x e + c e\right)} b^{2} d^{3} e}{b x + a} + \frac{{\left(d x e + c e\right)}^{2} b^{3} d^{2}}{{\left(b x + a\right)}^{2}}\right)}}"," ",0,"1/2*(B*b^3*c^3*d^2*g*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 3*B*a*b^2*c^2*d^3*g*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) + 3*B*a^2*b*c*d^4*g*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - B*a^3*d^5*g*e^3*log(-d*e + (d*x*e + c*e)*b/(b*x + a)) - 2*(d*x*e + c*e)*B*b^4*c^3*d*g*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 6*(d*x*e + c*e)*B*a*b^3*c^2*d^2*g*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) - 6*(d*x*e + c*e)*B*a^2*b^2*c*d^3*g*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + 2*(d*x*e + c*e)*B*a^3*b*d^4*g*e^2*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a) + (d*x*e + c*e)^2*B*b^5*c^3*g*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - 3*(d*x*e + c*e)^2*B*a*b^4*c^2*d*g*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 + 3*(d*x*e + c*e)^2*B*a^2*b^3*c*d^2*g*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 - (d*x*e + c*e)^2*B*a^3*b^2*d^3*g*e*log(-d*e + (d*x*e + c*e)*b/(b*x + a))/(b*x + a)^2 + 2*(d*x*e + c*e)*B*b^4*c^3*d*g*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 6*(d*x*e + c*e)*B*a*b^3*c^2*d^2*g*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a) + 6*(d*x*e + c*e)*B*a^2*b^2*c*d^3*g*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 2*(d*x*e + c*e)*B*a^3*b*d^4*g*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - (d*x*e + c*e)^2*B*b^5*c^3*g*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 3*(d*x*e + c*e)^2*B*a*b^4*c^2*d*g*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 - 3*(d*x*e + c*e)^2*B*a^2*b^3*c*d^2*g*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + (d*x*e + c*e)^2*B*a^3*b^2*d^3*g*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + A*b^3*c^3*d^2*g*e^3 - B*b^3*c^3*d^2*g*e^3 - 3*A*a*b^2*c^2*d^3*g*e^3 + 3*B*a*b^2*c^2*d^3*g*e^3 + 3*A*a^2*b*c*d^4*g*e^3 - 3*B*a^2*b*c*d^4*g*e^3 - A*a^3*d^5*g*e^3 + B*a^3*d^5*g*e^3 + (d*x*e + c*e)*B*b^4*c^3*d*g*e^2/(b*x + a) - 3*(d*x*e + c*e)*B*a*b^3*c^2*d^2*g*e^2/(b*x + a) + 3*(d*x*e + c*e)*B*a^2*b^2*c*d^3*g*e^2/(b*x + a) - (d*x*e + c*e)*B*a^3*b*d^4*g*e^2/(b*x + a))*(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*d^4*e^2 - 2*(d*x*e + c*e)*b^2*d^3*e/(b*x + a) + (d*x*e + c*e)^2*b^3*d^2/(b*x + a)^2)","B",0
177,-1,0,0,0.000000," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,1,126,0,0.902114," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^2,x, algorithm=""giac"")","-{\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)} {\left(\frac{{\left(d x e + c e\right)} B \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)} g^{2}} + \frac{{\left(d x e + c e\right)} {\left(A - B\right)}}{{\left(b x + a\right)} g^{2}}\right)}"," ",0,"-(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))*((d*x*e + c*e)*B*log((d*x*e + c*e)/(b*x + a))/((b*x + a)*g^2) + (d*x*e + c*e)*(A - B)/((b*x + a)*g^2))","A",0
179,1,254,0,0.861350," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^3,x, algorithm=""giac"")","\frac{{\left(\frac{4 \, {\left(d x e + c e\right)} B d e \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} + \frac{4 \, {\left(d x e + c e\right)} A d e}{b x + a} - \frac{4 \, {\left(d x e + c e\right)} B d e}{b x + a} - \frac{2 \, {\left(d x e + c e\right)}^{2} B b \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{2 \, {\left(d x e + c e\right)}^{2} A b}{{\left(b x + a\right)}^{2}} + \frac{{\left(d x e + c e\right)}^{2} B b}{{\left(b x + a\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 g^{3} e - a d g^{3} e\right)}}"," ",0,"1/4*(4*(d*x*e + c*e)*B*d*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a) + 4*(d*x*e + c*e)*A*d*e/(b*x + a) - 4*(d*x*e + c*e)*B*d*e/(b*x + a) - 2*(d*x*e + c*e)^2*B*b*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 - 2*(d*x*e + c*e)^2*A*b/(b*x + a)^2 + (d*x*e + c*e)^2*B*b/(b*x + a)^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*g^3*e - a*d*g^3*e)","A",0
180,1,382,0,1.057491," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{{\left(\frac{18 \, {\left(d x e + c e\right)} B d^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{18 \, {\left(d x e + c e\right)}^{2} B b d e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{18 \, {\left(d x e + c e\right)} A d^{2} e^{2}}{b x + a} - \frac{18 \, {\left(d x e + c e\right)} B d^{2} e^{2}}{b x + a} - \frac{18 \, {\left(d x e + c e\right)}^{2} A b d e}{{\left(b x + a\right)}^{2}} + \frac{9 \, {\left(d x e + c e\right)}^{2} B b d e}{{\left(b x + a\right)}^{2}} + \frac{6 \, {\left(d x e + c e\right)}^{3} B b^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{6 \, {\left(d x e + c e\right)}^{3} A b^{2}}{{\left(b x + a\right)}^{3}} - \frac{2 \, {\left(d x e + c e\right)}^{3} B b^{2}}{{\left(b x + a\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)}}{18 \, {\left(b^{2} c^{2} g^{4} e^{2} - 2 \, a b c d g^{4} e^{2} + a^{2} d^{2} g^{4} e^{2}\right)}}"," ",0,"-1/18*(18*(d*x*e + c*e)*B*d^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 18*(d*x*e + c*e)^2*B*b*d*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 18*(d*x*e + c*e)*A*d^2*e^2/(b*x + a) - 18*(d*x*e + c*e)*B*d^2*e^2/(b*x + a) - 18*(d*x*e + c*e)^2*A*b*d*e/(b*x + a)^2 + 9*(d*x*e + c*e)^2*B*b*d*e/(b*x + a)^2 + 6*(d*x*e + c*e)^3*B*b^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 6*(d*x*e + c*e)^3*A*b^2/(b*x + a)^3 - 2*(d*x*e + c*e)^3*B*b^2/(b*x + a)^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^2*c^2*g^4*e^2 - 2*a*b*c*d*g^4*e^2 + a^2*d^2*g^4*e^2)","B",0
181,1,511,0,1.387908," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{{\left(\frac{48 \, {\left(d x e + c e\right)} B d^{3} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{72 \, {\left(d x e + c e\right)}^{2} B b d^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{48 \, {\left(d x e + c e\right)}^{3} B b^{2} d e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{48 \, {\left(d x e + c e\right)} A d^{3} e^{3}}{b x + a} - \frac{48 \, {\left(d x e + c e\right)} B d^{3} e^{3}}{b x + a} - \frac{72 \, {\left(d x e + c e\right)}^{2} A b d^{2} e^{2}}{{\left(b x + a\right)}^{2}} + \frac{36 \, {\left(d x e + c e\right)}^{2} B b d^{2} e^{2}}{{\left(b x + a\right)}^{2}} + \frac{48 \, {\left(d x e + c e\right)}^{3} A b^{2} d e}{{\left(b x + a\right)}^{3}} - \frac{16 \, {\left(d x e + c e\right)}^{3} B b^{2} d e}{{\left(b x + a\right)}^{3}} - \frac{12 \, {\left(d x e + c e\right)}^{4} B b^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{12 \, {\left(d x e + c e\right)}^{4} A b^{3}}{{\left(b x + a\right)}^{4}} + \frac{3 \, {\left(d x e + c e\right)}^{4} B b^{3}}{{\left(b x + a\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)}}{48 \, {\left(b^{3} c^{3} g^{5} e^{3} - 3 \, a b^{2} c^{2} d g^{5} e^{3} + 3 \, a^{2} b c d^{2} g^{5} e^{3} - a^{3} d^{3} g^{5} e^{3}\right)}}"," ",0,"1/48*(48*(d*x*e + c*e)*B*d^3*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 72*(d*x*e + c*e)^2*B*b*d^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 48*(d*x*e + c*e)^3*B*b^2*d*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 48*(d*x*e + c*e)*A*d^3*e^3/(b*x + a) - 48*(d*x*e + c*e)*B*d^3*e^3/(b*x + a) - 72*(d*x*e + c*e)^2*A*b*d^2*e^2/(b*x + a)^2 + 36*(d*x*e + c*e)^2*B*b*d^2*e^2/(b*x + a)^2 + 48*(d*x*e + c*e)^3*A*b^2*d*e/(b*x + a)^3 - 16*(d*x*e + c*e)^3*B*b^2*d*e/(b*x + a)^3 - 12*(d*x*e + c*e)^4*B*b^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 - 12*(d*x*e + c*e)^4*A*b^3/(b*x + a)^4 + 3*(d*x*e + c*e)^4*B*b^3/(b*x + a)^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^3*c^3*g^5*e^3 - 3*a*b^2*c^2*d*g^5*e^3 + 3*a^2*b*c*d^2*g^5*e^3 - a^3*d^3*g^5*e^3)","B",0
182,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
186,-1,0,0,0.000000," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))^2/(b*g*x+a*g),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
187,1,188,0,1.554828," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","-{\left(\frac{{\left(d x e + c e\right)} B^{2} \log\left(\frac{d x e + c e}{b x + a}\right)^{2}}{{\left(b x + a\right)} g^{2}} + \frac{2 \, {\left(d x e + c e\right)} {\left(A B - B^{2}\right)} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)} g^{2}} + \frac{{\left(d x e + c e\right)} {\left(A^{2} - 2 \, A B + 2 \, B^{2}\right)}}{{\left(b x + a\right)} g^{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)}"," ",0,"-((d*x*e + c*e)*B^2*log((d*x*e + c*e)/(b*x + a))^2/((b*x + a)*g^2) + 2*(d*x*e + c*e)*(A*B - B^2)*log((d*x*e + c*e)/(b*x + a))/((b*x + a)*g^2) + (d*x*e + c*e)*(A^2 - 2*A*B + 2*B^2)/((b*x + a)*g^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)))","A",0
188,1,493,0,2.193295," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))^2/(b*g*x+a*g)^3,x, algorithm=""giac"")","\frac{{\left(\frac{4 \, {\left(d x e + c e\right)} B^{2} d e \log\left(\frac{d x e + c e}{b x + a}\right)^{2}}{b x + a} + \frac{8 \, {\left(d x e + c e\right)} A B d e \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{8 \, {\left(d x e + c e\right)} B^{2} d e \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{2 \, {\left(d x e + c e\right)}^{2} B^{2} b \log\left(\frac{d x e + c e}{b x + a}\right)^{2}}{{\left(b x + a\right)}^{2}} + \frac{4 \, {\left(d x e + c e\right)} A^{2} d e}{b x + a} - \frac{8 \, {\left(d x e + c e\right)} A B d e}{b x + a} + \frac{8 \, {\left(d x e + c e\right)} B^{2} d e}{b x + a} - \frac{4 \, {\left(d x e + c e\right)}^{2} A B b \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{2 \, {\left(d x e + c e\right)}^{2} B^{2} b \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} - \frac{2 \, {\left(d x e + c e\right)}^{2} A^{2} b}{{\left(b x + a\right)}^{2}} + \frac{2 \, {\left(d x e + c e\right)}^{2} A B b}{{\left(b x + a\right)}^{2}} - \frac{{\left(d x e + c e\right)}^{2} B^{2} b}{{\left(b x + a\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 g^{3} e - a d g^{3} e\right)}}"," ",0,"1/4*(4*(d*x*e + c*e)*B^2*d*e*log((d*x*e + c*e)/(b*x + a))^2/(b*x + a) + 8*(d*x*e + c*e)*A*B*d*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 8*(d*x*e + c*e)*B^2*d*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 2*(d*x*e + c*e)^2*B^2*b*log((d*x*e + c*e)/(b*x + a))^2/(b*x + a)^2 + 4*(d*x*e + c*e)*A^2*d*e/(b*x + a) - 8*(d*x*e + c*e)*A*B*d*e/(b*x + a) + 8*(d*x*e + c*e)*B^2*d*e/(b*x + a) - 4*(d*x*e + c*e)^2*A*B*b*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 2*(d*x*e + c*e)^2*B^2*b*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 - 2*(d*x*e + c*e)^2*A^2*b/(b*x + a)^2 + 2*(d*x*e + c*e)^2*A*B*b/(b*x + a)^2 - (d*x*e + c*e)^2*B^2*b/(b*x + a)^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*g^3*e - a*d*g^3*e)","A",0
189,1,760,0,2.742202," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))^2/(b*g*x+a*g)^4,x, algorithm=""giac"")","-\frac{{\left(\frac{54 \, {\left(d x e + c e\right)} B^{2} d^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)^{2}}{b x + a} - \frac{54 \, {\left(d x e + c e\right)}^{2} B^{2} b d e \log\left(\frac{d x e + c e}{b x + a}\right)^{2}}{{\left(b x + a\right)}^{2}} + \frac{108 \, {\left(d x e + c e\right)} A B d^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{108 \, {\left(d x e + c e\right)} B^{2} d^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{108 \, {\left(d x e + c e\right)}^{2} A B b d e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{54 \, {\left(d x e + c e\right)}^{2} B^{2} b d e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{18 \, {\left(d x e + c e\right)}^{3} B^{2} b^{2} \log\left(\frac{d x e + c e}{b x + a}\right)^{2}}{{\left(b x + a\right)}^{3}} + \frac{54 \, {\left(d x e + c e\right)} A^{2} d^{2} e^{2}}{b x + a} - \frac{108 \, {\left(d x e + c e\right)} A B d^{2} e^{2}}{b x + a} + \frac{108 \, {\left(d x e + c e\right)} B^{2} d^{2} e^{2}}{b x + a} - \frac{54 \, {\left(d x e + c e\right)}^{2} A^{2} b d e}{{\left(b x + a\right)}^{2}} + \frac{54 \, {\left(d x e + c e\right)}^{2} A B b d e}{{\left(b x + a\right)}^{2}} - \frac{27 \, {\left(d x e + c e\right)}^{2} B^{2} b d e}{{\left(b x + a\right)}^{2}} + \frac{36 \, {\left(d x e + c e\right)}^{3} A B b^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{12 \, {\left(d x e + c e\right)}^{3} B^{2} b^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} + \frac{18 \, {\left(d x e + c e\right)}^{3} A^{2} b^{2}}{{\left(b x + a\right)}^{3}} - \frac{12 \, {\left(d x e + c e\right)}^{3} A B b^{2}}{{\left(b x + a\right)}^{3}} + \frac{4 \, {\left(d x e + c e\right)}^{3} B^{2} b^{2}}{{\left(b x + a\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)}}{54 \, {\left(b^{2} c^{2} g^{4} e^{2} - 2 \, a b c d g^{4} e^{2} + a^{2} d^{2} g^{4} e^{2}\right)}}"," ",0,"-1/54*(54*(d*x*e + c*e)*B^2*d^2*e^2*log((d*x*e + c*e)/(b*x + a))^2/(b*x + a) - 54*(d*x*e + c*e)^2*B^2*b*d*e*log((d*x*e + c*e)/(b*x + a))^2/(b*x + a)^2 + 108*(d*x*e + c*e)*A*B*d^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 108*(d*x*e + c*e)*B^2*d^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 108*(d*x*e + c*e)^2*A*B*b*d*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 54*(d*x*e + c*e)^2*B^2*b*d*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 18*(d*x*e + c*e)^3*B^2*b^2*log((d*x*e + c*e)/(b*x + a))^2/(b*x + a)^3 + 54*(d*x*e + c*e)*A^2*d^2*e^2/(b*x + a) - 108*(d*x*e + c*e)*A*B*d^2*e^2/(b*x + a) + 108*(d*x*e + c*e)*B^2*d^2*e^2/(b*x + a) - 54*(d*x*e + c*e)^2*A^2*b*d*e/(b*x + a)^2 + 54*(d*x*e + c*e)^2*A*B*b*d*e/(b*x + a)^2 - 27*(d*x*e + c*e)^2*B^2*b*d*e/(b*x + a)^2 + 36*(d*x*e + c*e)^3*A*B*b^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 12*(d*x*e + c*e)^3*B^2*b^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 + 18*(d*x*e + c*e)^3*A^2*b^2/(b*x + a)^3 - 12*(d*x*e + c*e)^3*A*B*b^2/(b*x + a)^3 + 4*(d*x*e + c*e)^3*B^2*b^2/(b*x + a)^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^2*c^2*g^4*e^2 - 2*a*b*c*d*g^4*e^2 + a^2*d^2*g^4*e^2)","A",0
190,1,1029,0,2.337425," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))^2/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{{\left(\frac{288 \, {\left(d x e + c e\right)} B^{2} d^{3} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)^{2}}{b x + a} - \frac{432 \, {\left(d x e + c e\right)}^{2} B^{2} b d^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)^{2}}{{\left(b x + a\right)}^{2}} + \frac{288 \, {\left(d x e + c e\right)}^{3} B^{2} b^{2} d e \log\left(\frac{d x e + c e}{b x + a}\right)^{2}}{{\left(b x + a\right)}^{3}} + \frac{576 \, {\left(d x e + c e\right)} A B d^{3} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{576 \, {\left(d x e + c e\right)} B^{2} d^{3} e^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{b x + a} - \frac{864 \, {\left(d x e + c e\right)}^{2} A B b d^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{432 \, {\left(d x e + c e\right)}^{2} B^{2} b d^{2} e^{2} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{2}} + \frac{576 \, {\left(d x e + c e\right)}^{3} A B b^{2} d e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{192 \, {\left(d x e + c e\right)}^{3} B^{2} b^{2} d e \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{3}} - \frac{72 \, {\left(d x e + c e\right)}^{4} B^{2} b^{3} \log\left(\frac{d x e + c e}{b x + a}\right)^{2}}{{\left(b x + a\right)}^{4}} + \frac{288 \, {\left(d x e + c e\right)} A^{2} d^{3} e^{3}}{b x + a} - \frac{576 \, {\left(d x e + c e\right)} A B d^{3} e^{3}}{b x + a} + \frac{576 \, {\left(d x e + c e\right)} B^{2} d^{3} e^{3}}{b x + a} - \frac{432 \, {\left(d x e + c e\right)}^{2} A^{2} b d^{2} e^{2}}{{\left(b x + a\right)}^{2}} + \frac{432 \, {\left(d x e + c e\right)}^{2} A B b d^{2} e^{2}}{{\left(b x + a\right)}^{2}} - \frac{216 \, {\left(d x e + c e\right)}^{2} B^{2} b d^{2} e^{2}}{{\left(b x + a\right)}^{2}} + \frac{288 \, {\left(d x e + c e\right)}^{3} A^{2} b^{2} d e}{{\left(b x + a\right)}^{3}} - \frac{192 \, {\left(d x e + c e\right)}^{3} A B b^{2} d e}{{\left(b x + a\right)}^{3}} + \frac{64 \, {\left(d x e + c e\right)}^{3} B^{2} b^{2} d e}{{\left(b x + a\right)}^{3}} - \frac{144 \, {\left(d x e + c e\right)}^{4} A B b^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} + \frac{36 \, {\left(d x e + c e\right)}^{4} B^{2} b^{3} \log\left(\frac{d x e + c e}{b x + a}\right)}{{\left(b x + a\right)}^{4}} - \frac{72 \, {\left(d x e + c e\right)}^{4} A^{2} b^{3}}{{\left(b x + a\right)}^{4}} + \frac{36 \, {\left(d x e + c e\right)}^{4} A B b^{3}}{{\left(b x + a\right)}^{4}} - \frac{9 \, {\left(d x e + c e\right)}^{4} B^{2} b^{3}}{{\left(b x + a\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)}}{288 \, {\left(b^{3} c^{3} g^{5} e^{3} - 3 \, a b^{2} c^{2} d g^{5} e^{3} + 3 \, a^{2} b c d^{2} g^{5} e^{3} - a^{3} d^{3} g^{5} e^{3}\right)}}"," ",0,"1/288*(288*(d*x*e + c*e)*B^2*d^3*e^3*log((d*x*e + c*e)/(b*x + a))^2/(b*x + a) - 432*(d*x*e + c*e)^2*B^2*b*d^2*e^2*log((d*x*e + c*e)/(b*x + a))^2/(b*x + a)^2 + 288*(d*x*e + c*e)^3*B^2*b^2*d*e*log((d*x*e + c*e)/(b*x + a))^2/(b*x + a)^3 + 576*(d*x*e + c*e)*A*B*d^3*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 576*(d*x*e + c*e)*B^2*d^3*e^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a) - 864*(d*x*e + c*e)^2*A*B*b*d^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 432*(d*x*e + c*e)^2*B^2*b*d^2*e^2*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^2 + 576*(d*x*e + c*e)^3*A*B*b^2*d*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 192*(d*x*e + c*e)^3*B^2*b^2*d*e*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^3 - 72*(d*x*e + c*e)^4*B^2*b^3*log((d*x*e + c*e)/(b*x + a))^2/(b*x + a)^4 + 288*(d*x*e + c*e)*A^2*d^3*e^3/(b*x + a) - 576*(d*x*e + c*e)*A*B*d^3*e^3/(b*x + a) + 576*(d*x*e + c*e)*B^2*d^3*e^3/(b*x + a) - 432*(d*x*e + c*e)^2*A^2*b*d^2*e^2/(b*x + a)^2 + 432*(d*x*e + c*e)^2*A*B*b*d^2*e^2/(b*x + a)^2 - 216*(d*x*e + c*e)^2*B^2*b*d^2*e^2/(b*x + a)^2 + 288*(d*x*e + c*e)^3*A^2*b^2*d*e/(b*x + a)^3 - 192*(d*x*e + c*e)^3*A*B*b^2*d*e/(b*x + a)^3 + 64*(d*x*e + c*e)^3*B^2*b^2*d*e/(b*x + a)^3 - 144*(d*x*e + c*e)^4*A*B*b^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 + 36*(d*x*e + c*e)^4*B^2*b^3*log((d*x*e + c*e)/(b*x + a))/(b*x + a)^4 - 72*(d*x*e + c*e)^4*A^2*b^3/(b*x + a)^4 + 36*(d*x*e + c*e)^4*A*B*b^3/(b*x + a)^4 - 9*(d*x*e + c*e)^4*B^2*b^3/(b*x + a)^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^3*c^3*g^5*e^3 - 3*a*b^2*c^2*d*g^5*e^3 + 3*a^2*b*c*d^2*g^5*e^3 - a^3*d^3*g^5*e^3)","B",0
191,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
192,-1,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
193,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
194,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
195,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
196,-1,0,0,0.000000," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,-1,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
198,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)} {\left(B \log\left(\frac{{\left(d x + c\right)} e}{b x + a}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)*(B*log((d*x + c)*e/(b*x + a)) + A)^2), x)","F",0
199,1,152,0,1.341140," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""giac"")","{\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)} {\left(\frac{d x e + c e}{{\left(B^{2} g^{2} \log\left(\frac{d x e + c e}{b x + a}\right) + A B g^{2}\right)} {\left(b x + a\right)}} - \frac{{\rm Ei}\left(\frac{A}{B} + \log\left(\frac{d x e + c e}{b x + a}\right)\right) e^{\left(-\frac{A}{B}\right)}}{B^{2} g^{2}}\right)}"," ",0,"(b*c/((b*c*e - a*d*e)*(b*c - a*d)) - a*d/((b*c*e - a*d*e)*(b*c - a*d)))*((d*x*e + c*e)/((B^2*g^2*log((d*x*e + c*e)/(b*x + a)) + A*B*g^2)*(b*x + a)) - Ei(A/B + log((d*x*e + c*e)/(b*x + a)))*e^(-A/B)/(B^2*g^2))","A",0
200,1,317,0,1.827441," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""giac"")","{\left(\frac{d {\rm Ei}\left(\frac{A}{B} + \log\left(\frac{d x e + c e}{b x + a}\right)\right) e^{\left(-\frac{A}{B} + 1\right)}}{B^{2} b c g^{3} e - B^{2} a d g^{3} e} - \frac{2 \, b {\rm Ei}\left(\frac{2 \, A}{B} + 2 \, \log\left(\frac{d x e + c e}{b x + a}\right)\right) e^{\left(-\frac{2 \, A}{B}\right)}}{B^{2} b c g^{3} e - B^{2} a d g^{3} e} - \frac{\frac{{\left(d x e + c e\right)} d e}{b x + a} - \frac{{\left(d x e + c e\right)}^{2} b}{{\left(b x + a\right)}^{2}}}{B^{2} b c g^{3} e \log\left(\frac{d x e + c e}{b x + a}\right) - B^{2} a d g^{3} e \log\left(\frac{d x e + c e}{b x + a}\right) + A B b c g^{3} e - A B a d g^{3} e}\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,"(d*Ei(A/B + log((d*x*e + c*e)/(b*x + a)))*e^(-A/B + 1)/(B^2*b*c*g^3*e - B^2*a*d*g^3*e) - 2*b*Ei(2*A/B + 2*log((d*x*e + c*e)/(b*x + a)))*e^(-2*A/B)/(B^2*b*c*g^3*e - B^2*a*d*g^3*e) - ((d*x*e + c*e)*d*e/(b*x + a) - (d*x*e + c*e)^2*b/(b*x + a)^2)/(B^2*b*c*g^3*e*log((d*x*e + c*e)/(b*x + a)) - B^2*a*d*g^3*e*log((d*x*e + c*e)/(b*x + a)) + A*B*b*c*g^3*e - A*B*a*d*g^3*e))*(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",0
201,1,493,0,77.996776," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""giac"")","-\frac{2 \, B a^{5} g^{4} \log\left(b x + a\right)}{5 \, b} + \frac{1}{5} \, {\left(A b^{4} g^{4} + B b^{4} g^{4}\right)} x^{5} + \frac{{\left(B b^{4} c g^{4} + 10 \, A a b^{3} d g^{4} + 9 \, B a b^{3} d g^{4}\right)} x^{4}}{10 \, d} - \frac{2 \, {\left(B b^{4} c^{2} g^{4} - 5 \, B a b^{3} c d g^{4} - 15 \, A a^{2} b^{2} d^{2} g^{4} - 11 \, B a^{2} b^{2} d^{2} g^{4}\right)} x^{3}}{15 \, d^{2}} + \frac{1}{5} \, {\left(B b^{4} g^{4} x^{5} + 5 \, B a b^{3} g^{4} x^{4} + 10 \, B a^{2} b^{2} g^{4} x^{3} + 10 \, B a^{3} b g^{4} x^{2} + 5 \, B a^{4} g^{4} x\right)} \log\left(\frac{d^{2} x^{2} + 2 \, c d x + c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) + \frac{{\left(B b^{4} c^{3} g^{4} - 5 \, B a b^{3} c^{2} d g^{4} + 10 \, B a^{2} b^{2} c d^{2} g^{4} + 10 \, A a^{3} b d^{3} g^{4} + 4 \, B a^{3} b d^{3} g^{4}\right)} x^{2}}{5 \, d^{3}} - \frac{{\left(2 \, B b^{4} c^{4} g^{4} - 10 \, B a b^{3} c^{3} d g^{4} + 20 \, B a^{2} b^{2} c^{2} d^{2} g^{4} - 20 \, B a^{3} b c d^{3} g^{4} - 5 \, A a^{4} d^{4} g^{4} + 3 \, B a^{4} d^{4} g^{4}\right)} x}{5 \, d^{4}} + \frac{2 \, {\left(B b^{4} c^{5} g^{4} - 5 \, B a b^{3} c^{4} d g^{4} + 10 \, B a^{2} b^{2} c^{3} d^{2} g^{4} - 10 \, B a^{3} b c^{2} d^{3} g^{4} + 5 \, B a^{4} c d^{4} g^{4}\right)} \log\left(d x + c\right)}{5 \, d^{5}}"," ",0,"-2/5*B*a^5*g^4*log(b*x + a)/b + 1/5*(A*b^4*g^4 + B*b^4*g^4)*x^5 + 1/10*(B*b^4*c*g^4 + 10*A*a*b^3*d*g^4 + 9*B*a*b^3*d*g^4)*x^4/d - 2/15*(B*b^4*c^2*g^4 - 5*B*a*b^3*c*d*g^4 - 15*A*a^2*b^2*d^2*g^4 - 11*B*a^2*b^2*d^2*g^4)*x^3/d^2 + 1/5*(B*b^4*g^4*x^5 + 5*B*a*b^3*g^4*x^4 + 10*B*a^2*b^2*g^4*x^3 + 10*B*a^3*b*g^4*x^2 + 5*B*a^4*g^4*x)*log((d^2*x^2 + 2*c*d*x + c^2)/(b^2*x^2 + 2*a*b*x + a^2)) + 1/5*(B*b^4*c^3*g^4 - 5*B*a*b^3*c^2*d*g^4 + 10*B*a^2*b^2*c*d^2*g^4 + 10*A*a^3*b*d^3*g^4 + 4*B*a^3*b*d^3*g^4)*x^2/d^3 - 1/5*(2*B*b^4*c^4*g^4 - 10*B*a*b^3*c^3*d*g^4 + 20*B*a^2*b^2*c^2*d^2*g^4 - 20*B*a^3*b*c*d^3*g^4 - 5*A*a^4*d^4*g^4 + 3*B*a^4*d^4*g^4)*x/d^4 + 2/5*(B*b^4*c^5*g^4 - 5*B*a*b^3*c^4*d*g^4 + 10*B*a^2*b^2*c^3*d^2*g^4 - 10*B*a^3*b*c^2*d^3*g^4 + 5*B*a^4*c*d^4*g^4)*log(d*x + c)/d^5","B",0
202,1,364,0,18.854780," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""giac"")","-\frac{B a^{4} g^{3} \log\left(b x + a\right)}{2 \, b} + \frac{1}{4} \, {\left(A b^{3} g^{3} + B b^{3} g^{3}\right)} x^{4} + \frac{{\left(B b^{3} c g^{3} + 6 \, A a b^{2} d g^{3} + 5 \, B a b^{2} d g^{3}\right)} x^{3}}{6 \, d} + \frac{1}{4} \, {\left(B b^{3} g^{3} x^{4} + 4 \, B a b^{2} g^{3} x^{3} + 6 \, B a^{2} b g^{3} x^{2} + 4 \, B a^{3} g^{3} x\right)} \log\left(\frac{d^{2} x^{2} + 2 \, c d x + c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) - \frac{{\left(B b^{3} c^{2} g^{3} - 4 \, B a b^{2} c d g^{3} - 6 \, A a^{2} b d^{2} g^{3} - 3 \, B a^{2} b d^{2} g^{3}\right)} x^{2}}{4 \, d^{2}} + \frac{{\left(B b^{3} c^{3} g^{3} - 4 \, B a b^{2} c^{2} d g^{3} + 6 \, B a^{2} b c d^{2} g^{3} + 2 \, A a^{3} d^{3} g^{3} - B a^{3} d^{3} g^{3}\right)} x}{2 \, d^{3}} - \frac{{\left(B b^{3} c^{4} g^{3} - 4 \, B a b^{2} c^{3} d g^{3} + 6 \, B a^{2} b c^{2} d^{2} g^{3} - 4 \, B a^{3} c d^{3} g^{3}\right)} \log\left(-d x - c\right)}{2 \, d^{4}}"," ",0,"-1/2*B*a^4*g^3*log(b*x + a)/b + 1/4*(A*b^3*g^3 + B*b^3*g^3)*x^4 + 1/6*(B*b^3*c*g^3 + 6*A*a*b^2*d*g^3 + 5*B*a*b^2*d*g^3)*x^3/d + 1/4*(B*b^3*g^3*x^4 + 4*B*a*b^2*g^3*x^3 + 6*B*a^2*b*g^3*x^2 + 4*B*a^3*g^3*x)*log((d^2*x^2 + 2*c*d*x + c^2)/(b^2*x^2 + 2*a*b*x + a^2)) - 1/4*(B*b^3*c^2*g^3 - 4*B*a*b^2*c*d*g^3 - 6*A*a^2*b*d^2*g^3 - 3*B*a^2*b*d^2*g^3)*x^2/d^2 + 1/2*(B*b^3*c^3*g^3 - 4*B*a*b^2*c^2*d*g^3 + 6*B*a^2*b*c*d^2*g^3 + 2*A*a^3*d^3*g^3 - B*a^3*d^3*g^3)*x/d^3 - 1/2*(B*b^3*c^4*g^3 - 4*B*a*b^2*c^3*d*g^3 + 6*B*a^2*b*c^2*d^2*g^3 - 4*B*a^3*c*d^3*g^3)*log(-d*x - c)/d^4","B",0
203,1,248,0,3.510095," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""giac"")","-\frac{2 \, B a^{3} g^{2} \log\left(b x + a\right)}{3 \, b} + \frac{1}{3} \, {\left(A b^{2} g^{2} + B b^{2} g^{2}\right)} x^{3} + \frac{{\left(B b^{2} c g^{2} + 3 \, A a b d g^{2} + 2 \, B a b d g^{2}\right)} x^{2}}{3 \, d} + \frac{1}{3} \, {\left(B b^{2} g^{2} x^{3} + 3 \, B a b g^{2} x^{2} + 3 \, B a^{2} g^{2} x\right)} \log\left(\frac{d^{2} x^{2} + 2 \, c d x + c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) - \frac{{\left(2 \, B b^{2} c^{2} g^{2} - 6 \, B a b c d g^{2} - 3 \, A a^{2} d^{2} g^{2} + B a^{2} d^{2} g^{2}\right)} x}{3 \, d^{2}} + \frac{2 \, {\left(B b^{2} c^{3} g^{2} - 3 \, B a b c^{2} d g^{2} + 3 \, B a^{2} c d^{2} g^{2}\right)} \log\left(d x + c\right)}{3 \, d^{3}}"," ",0,"-2/3*B*a^3*g^2*log(b*x + a)/b + 1/3*(A*b^2*g^2 + B*b^2*g^2)*x^3 + 1/3*(B*b^2*c*g^2 + 3*A*a*b*d*g^2 + 2*B*a*b*d*g^2)*x^2/d + 1/3*(B*b^2*g^2*x^3 + 3*B*a*b*g^2*x^2 + 3*B*a^2*g^2*x)*log((d^2*x^2 + 2*c*d*x + c^2)/(b^2*x^2 + 2*a*b*x + a^2)) - 1/3*(2*B*b^2*c^2*g^2 - 6*B*a*b*c*d*g^2 - 3*A*a^2*d^2*g^2 + B*a^2*d^2*g^2)*x/d^2 + 2/3*(B*b^2*c^3*g^2 - 3*B*a*b*c^2*d*g^2 + 3*B*a^2*c*d^2*g^2)*log(d*x + c)/d^3","B",0
204,1,128,0,0.899968," ","integrate((b*g*x+a*g)*(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""giac"")","-\frac{B a^{2} g \log\left(b x + a\right)}{b} + \frac{1}{2} \, {\left(A b g + B b g\right)} x^{2} + \frac{1}{2} \, {\left(B b g x^{2} + 2 \, B a g x\right)} \log\left(\frac{d^{2} x^{2} + 2 \, c d x + c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) + \frac{{\left(B b c g + A a d g\right)} x}{d} - \frac{{\left(B b c^{2} g - 2 \, B a c d g\right)} \log\left(-d x - c\right)}{d^{2}}"," ",0,"-B*a^2*g*log(b*x + a)/b + 1/2*(A*b*g + B*b*g)*x^2 + 1/2*(B*b*g*x^2 + 2*B*a*g*x)*log((d^2*x^2 + 2*c*d*x + c^2)/(b^2*x^2 + 2*a*b*x + a^2)) + (B*b*c*g + A*a*d*g)*x/d - (B*b*c^2*g - 2*B*a*c*d*g)*log(-d*x - c)/d^2","A",0
205,0,0,0,0.000000," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g),x, algorithm=""giac"")","\int \frac{B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A}{b g x + a g}\,{d x}"," ",0,"integrate((B*log((d*x + c)^2*e/(b*x + a)^2) + A)/(b*g*x + a*g), x)","F",0
206,1,188,0,0.399608," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^2,x, algorithm=""giac"")","-{\left(2 \, {\left(b^{2} c g^{2} - a b d g^{2}\right)} {\left(\frac{d \log\left({\left| \frac{b c g}{b g x + a g} - \frac{a d g}{b g x + a g} + d \right|}\right)}{b^{4} c^{2} g^{4} - 2 \, a b^{3} c d g^{4} + a^{2} b^{2} d^{2} g^{4}} - \frac{1}{{\left(b^{2} c g^{2} - a b d g^{2}\right)} {\left(b g x + a g\right)} b g}\right)} + \frac{\log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right)}{{\left(b g x + a g\right)} b g}\right)} B - \frac{A}{{\left(b g x + a g\right)} b g}"," ",0,"-(2*(b^2*c*g^2 - a*b*d*g^2)*(d*log(abs(b*c*g/(b*g*x + a*g) - a*d*g/(b*g*x + a*g) + d))/(b^4*c^2*g^4 - 2*a*b^3*c*d*g^4 + a^2*b^2*d^2*g^4) - 1/((b^2*c*g^2 - a*b*d*g^2)*(b*g*x + a*g)*b*g)) + log((d*x + c)^2*e/(b*x + a)^2)/((b*g*x + a*g)*b*g))*B - A/((b*g*x + a*g)*b*g)","A",0
207,1,259,0,0.343867," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^3,x, algorithm=""giac"")","-\frac{B d^{2} \log\left(b x + a\right)}{b^{3} c^{2} g^{3} - 2 \, a b^{2} c d g^{3} + a^{2} b d^{2} g^{3}} + \frac{B d^{2} \log\left(d x + c\right)}{b^{3} c^{2} g^{3} - 2 \, a b^{2} c d g^{3} + a^{2} b d^{2} g^{3}} - \frac{B \log\left(\frac{d^{2} x^{2} + 2 \, c d x + c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{2 \, {\left(b^{3} g^{3} x^{2} + 2 \, a b^{2} g^{3} x + a^{2} b g^{3}\right)}} - \frac{2 \, B b d x + A b c - A a d + 2 \, B a d}{2 \, {\left(b^{4} c g^{3} x^{2} - a b^{3} d g^{3} x^{2} + 2 \, a b^{3} c g^{3} x - 2 \, a^{2} b^{2} d g^{3} x + a^{2} b^{2} c g^{3} - a^{3} b d g^{3}\right)}}"," ",0,"-B*d^2*log(b*x + a)/(b^3*c^2*g^3 - 2*a*b^2*c*d*g^3 + a^2*b*d^2*g^3) + B*d^2*log(d*x + c)/(b^3*c^2*g^3 - 2*a*b^2*c*d*g^3 + a^2*b*d^2*g^3) - 1/2*B*log((d^2*x^2 + 2*c*d*x + c^2)/(b^2*x^2 + 2*a*b*x + a^2))/(b^3*g^3*x^2 + 2*a*b^2*g^3*x + a^2*b*g^3) - 1/2*(2*B*b*d*x + A*b*c - A*a*d + 2*B*a*d)/(b^4*c*g^3*x^2 - a*b^3*d*g^3*x^2 + 2*a*b^3*c*g^3*x - 2*a^2*b^2*d*g^3*x + a^2*b^2*c*g^3 - a^3*b*d*g^3)","A",0
208,1,473,0,0.327544," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^4,x, algorithm=""giac"")","\frac{2 \, B d^{3} \log\left(b x + a\right)}{3 \, {\left(b^{4} c^{3} g^{4} - 3 \, a b^{3} c^{2} d g^{4} + 3 \, a^{2} b^{2} c d^{2} g^{4} - a^{3} b d^{3} g^{4}\right)}} - \frac{2 \, B d^{3} \log\left(d x + c\right)}{3 \, {\left(b^{4} c^{3} g^{4} - 3 \, a b^{3} c^{2} d g^{4} + 3 \, a^{2} b^{2} c d^{2} g^{4} - a^{3} b d^{3} g^{4}\right)}} - \frac{B \log\left(\frac{d^{2} x^{2} + 2 \, c d x + c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{3 \, {\left(b^{4} g^{4} x^{3} + 3 \, a b^{3} g^{4} x^{2} + 3 \, a^{2} b^{2} g^{4} x + a^{3} b g^{4}\right)}} + \frac{6 \, B b^{2} d^{2} x^{2} - 3 \, B b^{2} c d x + 15 \, B a b d^{2} x - 3 \, A b^{2} c^{2} - B b^{2} c^{2} + 6 \, A a b c d - B a b c d - 3 \, A a^{2} d^{2} + 8 \, B a^{2} d^{2}}{9 \, {\left(b^{6} c^{2} g^{4} x^{3} - 2 \, a b^{5} c d g^{4} x^{3} + a^{2} b^{4} d^{2} g^{4} x^{3} + 3 \, a b^{5} c^{2} g^{4} x^{2} - 6 \, a^{2} b^{4} c d g^{4} x^{2} + 3 \, a^{3} b^{3} d^{2} g^{4} x^{2} + 3 \, a^{2} b^{4} c^{2} g^{4} x - 6 \, a^{3} b^{3} c d g^{4} x + 3 \, a^{4} b^{2} d^{2} g^{4} x + a^{3} b^{3} c^{2} g^{4} - 2 \, a^{4} b^{2} c d g^{4} + a^{5} b d^{2} g^{4}\right)}}"," ",0,"2/3*B*d^3*log(b*x + a)/(b^4*c^3*g^4 - 3*a*b^3*c^2*d*g^4 + 3*a^2*b^2*c*d^2*g^4 - a^3*b*d^3*g^4) - 2/3*B*d^3*log(d*x + c)/(b^4*c^3*g^4 - 3*a*b^3*c^2*d*g^4 + 3*a^2*b^2*c*d^2*g^4 - a^3*b*d^3*g^4) - 1/3*B*log((d^2*x^2 + 2*c*d*x + c^2)/(b^2*x^2 + 2*a*b*x + a^2))/(b^4*g^4*x^3 + 3*a*b^3*g^4*x^2 + 3*a^2*b^2*g^4*x + a^3*b*g^4) + 1/9*(6*B*b^2*d^2*x^2 - 3*B*b^2*c*d*x + 15*B*a*b*d^2*x - 3*A*b^2*c^2 - B*b^2*c^2 + 6*A*a*b*c*d - B*a*b*c*d - 3*A*a^2*d^2 + 8*B*a^2*d^2)/(b^6*c^2*g^4*x^3 - 2*a*b^5*c*d*g^4*x^3 + a^2*b^4*d^2*g^4*x^3 + 3*a*b^5*c^2*g^4*x^2 - 6*a^2*b^4*c*d*g^4*x^2 + 3*a^3*b^3*d^2*g^4*x^2 + 3*a^2*b^4*c^2*g^4*x - 6*a^3*b^3*c*d*g^4*x + 3*a^4*b^2*d^2*g^4*x + a^3*b^3*c^2*g^4 - 2*a^4*b^2*c*d*g^4 + a^5*b*d^2*g^4)","B",0
209,1,416,0,0.687487," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{B d^{4} \log\left(-\frac{b c g}{b g x + a g} + \frac{a d g}{b g x + a g} - d\right)}{2 \, {\left(b^{5} c^{4} g^{5} - 4 \, a b^{4} c^{3} d g^{5} + 6 \, a^{2} b^{3} c^{2} d^{2} g^{5} - 4 \, a^{3} b^{2} c d^{3} g^{5} + a^{4} b d^{4} g^{5}\right)}} - \frac{B d^{3}}{2 \, {\left(b^{3} c^{3} g^{3} - 3 \, a b^{2} c^{2} d g^{3} + 3 \, a^{2} b c d^{2} g^{3} - a^{3} d^{3} g^{3}\right)} {\left(b g x + a g\right)} b g} + \frac{B d^{2}}{4 \, {\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(b g x + a g\right)}^{2} b g^{2}} - \frac{B \log\left(\frac{\frac{b^{2} c^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} - \frac{2 \, a b c d g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{a^{2} d^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{2 \, b c d g}{b g x + a g} - \frac{2 \, a d^{2} g}{b g x + a g} + d^{2}}{b^{2}}\right)}{4 \, {\left(b g x + a g\right)}^{4} b g} - \frac{B d}{6 \, {\left(b g x + a g\right)}^{3} {\left(b c - a d\right)} b g^{2}} - \frac{2 \, A b^{3} g^{3} + B b^{3} g^{3}}{8 \, {\left(b g x + a g\right)}^{4} b^{4} g^{4}}"," ",0,"1/2*B*d^4*log(-b*c*g/(b*g*x + a*g) + a*d*g/(b*g*x + a*g) - d)/(b^5*c^4*g^5 - 4*a*b^4*c^3*d*g^5 + 6*a^2*b^3*c^2*d^2*g^5 - 4*a^3*b^2*c*d^3*g^5 + a^4*b*d^4*g^5) - 1/2*B*d^3/((b^3*c^3*g^3 - 3*a*b^2*c^2*d*g^3 + 3*a^2*b*c*d^2*g^3 - a^3*d^3*g^3)*(b*g*x + a*g)*b*g) + 1/4*B*d^2/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(b*g*x + a*g)^2*b*g^2) - 1/4*B*log((b^2*c^2*g^2/(b*g*x + a*g)^2 - 2*a*b*c*d*g^2/(b*g*x + a*g)^2 + a^2*d^2*g^2/(b*g*x + a*g)^2 + 2*b*c*d*g/(b*g*x + a*g) - 2*a*d^2*g/(b*g*x + a*g) + d^2)/b^2)/((b*g*x + a*g)^4*b*g) - 1/6*B*d/((b*g*x + a*g)^3*(b*c - a*d)*b*g^2) - 1/8*(2*A*b^3*g^3 + B*b^3*g^3)/((b*g*x + a*g)^4*b^4*g^4)","B",0
210,0,0,0,0.000000," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""giac"")","\int {\left(b g x + a g\right)}^{4} {\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((b*g*x + a*g)^4*(B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2, x)","F",0
211,0,0,0,0.000000," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""giac"")","\int {\left(b g x + a g\right)}^{3} {\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((b*g*x + a*g)^3*(B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2, x)","F",0
212,0,0,0,0.000000," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""giac"")","\int {\left(b g x + a g\right)}^{2} {\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((b*g*x + a*g)^2*(B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2, x)","F",0
213,0,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""giac"")","\int {\left(b g x + a g\right)} {\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((b*g*x + a*g)*(B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2, x)","F",0
214,0,0,0,0.000000," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2/(b*g*x+a*g),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}}{b g x + a g}\,{d x}"," ",0,"integrate((B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2/(b*g*x + a*g), x)","F",0
215,1,374,0,1.278990," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2/(b*g*x+a*g)^2,x, algorithm=""giac"")","-{\left(\frac{B^{2} d}{b^{2} c g^{2} - a b d g^{2}} + \frac{B^{2}}{{\left(b g x + a g\right)} b g}\right)} \log\left(\frac{\frac{b^{2} c^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} - \frac{2 \, a b c d g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{a^{2} d^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{2 \, b c d g}{b g x + a g} - \frac{2 \, a d^{2} g}{b g x + a g} + d^{2}}{b^{2}}\right)^{2} - \frac{4 \, {\left(A B d - B^{2} d\right)} \log\left(\frac{b c g}{b g x + a g} - \frac{a d g}{b g x + a g} + d\right)}{b^{2} c g^{2} - a b d g^{2}} - \frac{2 \, {\left(A B - B^{2}\right)} \log\left(\frac{\frac{b^{2} c^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} - \frac{2 \, a b c d g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{a^{2} d^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{2 \, b c d g}{b g x + a g} - \frac{2 \, a d^{2} g}{b g x + a g} + d^{2}}{b^{2}}\right)}{{\left(b g x + a g\right)} b g} - \frac{A^{2} - 2 \, A B + 5 \, B^{2}}{{\left(b g x + a g\right)} b g}"," ",0,"-(B^2*d/(b^2*c*g^2 - a*b*d*g^2) + B^2/((b*g*x + a*g)*b*g))*log((b^2*c^2*g^2/(b*g*x + a*g)^2 - 2*a*b*c*d*g^2/(b*g*x + a*g)^2 + a^2*d^2*g^2/(b*g*x + a*g)^2 + 2*b*c*d*g/(b*g*x + a*g) - 2*a*d^2*g/(b*g*x + a*g) + d^2)/b^2)^2 - 4*(A*B*d - B^2*d)*log(b*c*g/(b*g*x + a*g) - a*d*g/(b*g*x + a*g) + d)/(b^2*c*g^2 - a*b*d*g^2) - 2*(A*B - B^2)*log((b^2*c^2*g^2/(b*g*x + a*g)^2 - 2*a*b*c*d*g^2/(b*g*x + a*g)^2 + a^2*d^2*g^2/(b*g*x + a*g)^2 + 2*b*c*d*g/(b*g*x + a*g) - 2*a*d^2*g/(b*g*x + a*g) + d^2)/b^2)/((b*g*x + a*g)*b*g) - (A^2 - 2*A*B + 5*B^2)/((b*g*x + a*g)*b*g)","B",0
216,0,0,0,0.000000," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2/(b*g*x+a*g)^3,x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}}{{\left(b g x + a g\right)}^{3}}\,{d x}"," ",0,"integrate((B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2/(b*g*x + a*g)^3, x)","F",0
217,0,0,0,0.000000," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2/(b*g*x+a*g)^4,x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}}{{\left(b g x + a g\right)}^{4}}\,{d x}"," ",0,"integrate((B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2/(b*g*x + a*g)^4, x)","F",0
218,1,868,0,2.224502," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2/(b*g*x+a*g)^5,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{B^{2} d^{4}}{b^{5} c^{4} g^{5} - 4 \, a b^{4} c^{3} d g^{5} + 6 \, a^{2} b^{3} c^{2} d^{2} g^{5} - 4 \, a^{3} b^{2} c d^{3} g^{5} + a^{4} b d^{4} g^{5}} - \frac{B^{2}}{{\left(b g x + a g\right)}^{4} b g}\right)} \log\left(\frac{\frac{b^{2} c^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} - \frac{2 \, a b c d g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{a^{2} d^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{2 \, b c d g}{b g x + a g} - \frac{2 \, a d^{2} g}{b g x + a g} + d^{2}}{b^{2}}\right)^{2} - \frac{1}{12} \, {\left(\frac{12 \, B^{2} d^{3}}{{\left(b^{3} c^{3} g^{3} - 3 \, a b^{2} c^{2} d g^{3} + 3 \, a^{2} b c d^{2} g^{3} - a^{3} d^{3} g^{3}\right)} {\left(b g x + a g\right)} b g} - \frac{6 \, B^{2} d^{2}}{{\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(b g x + a g\right)}^{2} b g^{2}} + \frac{4 \, B^{2} d}{{\left(b g x + a g\right)}^{3} {\left(b c - a d\right)} b g^{2}} + \frac{3 \, {\left(2 \, A B b^{3} g^{3} + B^{2} b^{3} g^{3}\right)}}{{\left(b g x + a g\right)}^{4} b^{4} g^{4}}\right)} \log\left(\frac{\frac{b^{2} c^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} - \frac{2 \, a b c d g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{a^{2} d^{2} g^{2}}{{\left(b g x + a g\right)}^{2}} + \frac{2 \, b c d g}{b g x + a g} - \frac{2 \, a d^{2} g}{b g x + a g} + d^{2}}{b^{2}}\right) + \frac{{\left(6 \, A B d^{4} - 19 \, B^{2} d^{4}\right)} \log\left(-\frac{b c g}{b g x + a g} + \frac{a d g}{b g x + a g} - d\right)}{6 \, {\left(b^{5} c^{4} g^{5} - 4 \, a b^{4} c^{3} d g^{5} + 6 \, a^{2} b^{3} c^{2} d^{2} g^{5} - 4 \, a^{3} b^{2} c d^{3} g^{5} + a^{4} b d^{4} g^{5}\right)}} - \frac{6 \, A B d^{3} - 19 \, B^{2} d^{3}}{6 \, {\left(b^{3} c^{3} g^{3} - 3 \, a b^{2} c^{2} d g^{3} + 3 \, a^{2} b c d^{2} g^{3} - a^{3} d^{3} g^{3}\right)} {\left(b g x + a g\right)} b g} + \frac{6 \, A B b d^{2} - 7 \, B^{2} b d^{2}}{12 \, {\left(b^{2} c^{2} g - 2 \, a b c d g + a^{2} d^{2} g\right)} {\left(b g x + a g\right)}^{2} b^{2} g^{2}} - \frac{6 \, A B b^{2} d g - B^{2} b^{2} d g}{18 \, {\left(b g x + a g\right)}^{3} {\left(b c - a d\right)} b^{3} g^{3}} - \frac{2 \, A^{2} b^{3} g^{3} + 2 \, A B b^{3} g^{3} + B^{2} b^{3} g^{3}}{8 \, {\left(b g x + a g\right)}^{4} b^{4} g^{4}}"," ",0,"1/4*(B^2*d^4/(b^5*c^4*g^5 - 4*a*b^4*c^3*d*g^5 + 6*a^2*b^3*c^2*d^2*g^5 - 4*a^3*b^2*c*d^3*g^5 + a^4*b*d^4*g^5) - B^2/((b*g*x + a*g)^4*b*g))*log((b^2*c^2*g^2/(b*g*x + a*g)^2 - 2*a*b*c*d*g^2/(b*g*x + a*g)^2 + a^2*d^2*g^2/(b*g*x + a*g)^2 + 2*b*c*d*g/(b*g*x + a*g) - 2*a*d^2*g/(b*g*x + a*g) + d^2)/b^2)^2 - 1/12*(12*B^2*d^3/((b^3*c^3*g^3 - 3*a*b^2*c^2*d*g^3 + 3*a^2*b*c*d^2*g^3 - a^3*d^3*g^3)*(b*g*x + a*g)*b*g) - 6*B^2*d^2/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(b*g*x + a*g)^2*b*g^2) + 4*B^2*d/((b*g*x + a*g)^3*(b*c - a*d)*b*g^2) + 3*(2*A*B*b^3*g^3 + B^2*b^3*g^3)/((b*g*x + a*g)^4*b^4*g^4))*log((b^2*c^2*g^2/(b*g*x + a*g)^2 - 2*a*b*c*d*g^2/(b*g*x + a*g)^2 + a^2*d^2*g^2/(b*g*x + a*g)^2 + 2*b*c*d*g/(b*g*x + a*g) - 2*a*d^2*g/(b*g*x + a*g) + d^2)/b^2) + 1/6*(6*A*B*d^4 - 19*B^2*d^4)*log(-b*c*g/(b*g*x + a*g) + a*d*g/(b*g*x + a*g) - d)/(b^5*c^4*g^5 - 4*a*b^4*c^3*d*g^5 + 6*a^2*b^3*c^2*d^2*g^5 - 4*a^3*b^2*c*d^3*g^5 + a^4*b*d^4*g^5) - 1/6*(6*A*B*d^3 - 19*B^2*d^3)/((b^3*c^3*g^3 - 3*a*b^2*c^2*d*g^3 + 3*a^2*b*c*d^2*g^3 - a^3*d^3*g^3)*(b*g*x + a*g)*b*g) + 1/12*(6*A*B*b*d^2 - 7*B^2*b*d^2)/((b^2*c^2*g - 2*a*b*c*d*g + a^2*d^2*g)*(b*g*x + a*g)^2*b^2*g^2) - 1/18*(6*A*B*b^2*d*g - B^2*b^2*d*g)/((b*g*x + a*g)^3*(b*c - a*d)*b^3*g^3) - 1/8*(2*A^2*b^3*g^3 + 2*A*B*b^3*g^3 + B^2*b^3*g^3)/((b*g*x + a*g)^4*b^4*g^4)","A",0
219,0,0,0,0.000000," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{2}}{B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A}\,{d x}"," ",0,"integrate((b*g*x + a*g)^2/(B*log((d*x + c)^2*e/(b*x + a)^2) + A), x)","F",0
220,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""giac"")","\int \frac{b g x + a g}{B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A}\,{d x}"," ",0,"integrate((b*g*x + a*g)/(B*log((d*x + c)^2*e/(b*x + a)^2) + A), x)","F",0
221,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)} {\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)*(B*log((d*x + c)^2*e/(b*x + a)^2) + A)), x)","F",0
222,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{2} {\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^2*(B*log((d*x + c)^2*e/(b*x + a)^2) + A)), x)","F",0
223,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{3} {\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^3*(B*log((d*x + c)^2*e/(b*x + a)^2) + A)), x)","F",0
224,0,0,0,0.000000," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""giac"")","\int \frac{{\left(b g x + a g\right)}^{2}}{{\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((b*g*x + a*g)^2/(B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2, x)","F",0
225,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""giac"")","\int \frac{b g x + a g}{{\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((b*g*x + a*g)/(B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2, x)","F",0
226,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)} {\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)*(B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2), x)","F",0
227,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{2} {\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^2*(B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2), x)","F",0
228,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{3} {\left(B \log\left(\frac{{\left(d x + c\right)}^{2} e}{{\left(b x + a\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((b*g*x + a*g)^3*(B*log((d*x + c)^2*e/(b*x + a)^2) + A)^2), x)","F",0
229,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\int \frac{1}{{\left(b g x + a g\right)}^{2} {\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*x + a*g)^2*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)), x)","F",0
230,-1,0,0,0.000000," ","integrate((g*x+f)^4*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
231,1,11299,0,3.228716," ","integrate((g*x+f)^3*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(24 \, B b^{9} c^{2} d^{3} f^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 48 \, B a b^{8} c d^{4} f^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 24 \, B a^{2} b^{7} d^{5} f^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 36 \, B b^{9} c^{3} d^{2} f^{2} g e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 36 \, B a b^{8} c^{2} d^{3} f^{2} g e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 36 \, B a^{2} b^{7} c d^{4} f^{2} g e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 36 \, B a^{3} b^{6} d^{5} f^{2} g e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 24 \, B b^{9} c^{4} d f g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 24 \, B a b^{8} c^{3} d^{2} f g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 24 \, B a^{3} b^{6} c d^{4} f g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 24 \, B a^{4} b^{5} d^{5} f g^{2} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 6 \, B b^{9} c^{5} g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 6 \, B a b^{8} c^{4} d g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 6 \, B a^{4} b^{5} c d^{4} g^{3} 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} g^{3} e^{5} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{96 \, {\left(b x e + a e\right)} B b^{8} c^{2} d^{4} f^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{192 \, {\left(b x e + a e\right)} B a b^{7} c d^{5} f^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{96 \, {\left(b x e + a e\right)} B a^{2} b^{6} d^{6} f^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{144 \, {\left(b x e + a e\right)} B b^{8} c^{3} d^{3} f^{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{144 \, {\left(b x e + a e\right)} B a b^{7} c^{2} d^{4} f^{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{144 \, {\left(b x e + a e\right)} B a^{2} b^{6} c d^{5} f^{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{144 \, {\left(b x e + a e\right)} B a^{3} b^{5} d^{6} f^{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{96 \, {\left(b x e + a e\right)} B b^{8} c^{4} d^{2} f g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{96 \, {\left(b x e + a e\right)} B a b^{7} c^{3} d^{3} f g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{96 \, {\left(b x e + a e\right)} B a^{3} b^{5} c d^{5} f g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{96 \, {\left(b x e + a e\right)} B a^{4} b^{4} d^{6} f g^{2} 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 b^{8} c^{5} d g^{3} 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 b^{7} c^{4} d^{2} g^{3} 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^{4} b^{4} c d^{5} g^{3} 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} g^{3} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} + \frac{144 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{2} d^{5} f^{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)}^{2}} - \frac{288 \, {\left(b x e + a e\right)}^{2} B a b^{6} c d^{6} f^{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)}^{2}} + \frac{144 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} d^{7} f^{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)}^{2}} - \frac{216 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{3} d^{4} f^{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{216 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{2} d^{5} f^{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{216 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c d^{6} f^{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{216 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} d^{7} f^{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{144 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{4} d^{3} f 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)}^{2}} - \frac{144 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{3} d^{4} f 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)}^{2}} - \frac{144 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c d^{6} f 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)}^{2}} + \frac{144 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} d^{7} f 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)}^{2}} - \frac{36 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} 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)}^{2}} + \frac{36 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} 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)}^{2}} + \frac{36 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c 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)}^{2}} - \frac{36 \, {\left(b x e + a e\right)}^{2} B a^{5} b^{2} 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)}^{2}} - \frac{96 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{2} d^{6} f^{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)}^{3}} + \frac{192 \, {\left(b x e + a e\right)}^{3} B a b^{5} c d^{7} f^{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)}^{3}} - \frac{96 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} d^{8} f^{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)}^{3}} + \frac{144 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{3} d^{5} f^{2} 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{144 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{2} d^{6} f^{2} 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{144 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c d^{7} f^{2} 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{144 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} d^{8} f^{2} 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{96 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{4} d^{4} f 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)}^{3}} + \frac{96 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{3} d^{5} f 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)}^{3}} + \frac{96 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c d^{7} f 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)}^{3}} - \frac{96 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} d^{8} f 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)}^{3}} + \frac{24 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} 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)}^{3}} - \frac{24 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} 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)}^{3}} - \frac{24 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c 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)}^{3}} + \frac{24 \, {\left(b x e + a e\right)}^{3} B a^{5} b 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)}^{3}} + \frac{24 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{2} d^{7} f^{3} 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{48 \, {\left(b x e + a e\right)}^{4} B a b^{4} c d^{8} f^{3} 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)}^{4} B a^{2} b^{3} d^{9} f^{3} 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{36 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{3} d^{6} f^{2} 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{36 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{2} d^{7} f^{2} 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{36 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{3} c d^{8} f^{2} 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{36 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{2} d^{9} f^{2} 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{24 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{4} d^{5} f 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)}^{4}} - \frac{24 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{3} d^{6} f 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)}^{4}} - \frac{24 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{2} c d^{8} f 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)}^{4}} + \frac{24 \, {\left(b x e + a e\right)}^{4} B a^{4} b d^{9} f 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)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{5} d^{4} 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)}^{4}} + \frac{6 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{4} d^{5} 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)}^{4}} + \frac{6 \, {\left(b x e + a e\right)}^{4} B a^{4} b c 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)}^{4}} - \frac{6 \, {\left(b x e + a e\right)}^{4} B a^{5} 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)}^{4}} + \frac{24 \, {\left(b x e + a e\right)} B b^{8} c^{2} d^{4} f^{3} e^{4} \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 a b^{7} c d^{5} f^{3} 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^{2} b^{6} d^{6} f^{3} 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)} B a b^{7} c^{2} d^{4} f^{2} g e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{144 \, {\left(b x e + a e\right)} B a^{2} b^{6} c d^{5} f^{2} g 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)} B a^{3} b^{5} d^{6} f^{2} g 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)} B a^{2} b^{6} c^{2} d^{4} f g^{2} e^{4} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{144 \, {\left(b x e + a e\right)} B a^{3} b^{5} c d^{5} f g^{2} 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)} B a^{4} b^{4} d^{6} f g^{2} 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^{3} b^{5} c^{2} d^{4} g^{3} e^{4} \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 a^{4} b^{4} c d^{5} g^{3} 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} g^{3} 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 b^{7} c^{2} d^{5} f^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{144 \, {\left(b x e + a e\right)}^{2} B a b^{6} c d^{6} f^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{72 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} d^{7} f^{3} 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 b^{7} c^{3} d^{4} f^{2} g e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{108 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{2} d^{5} f^{2} g e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{324 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c d^{6} f^{2} g 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^{3} b^{4} d^{7} f^{2} g e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{72 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{3} d^{4} f g^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{216 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c d^{6} f g^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{144 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} d^{7} f g^{2} 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^{2} b^{5} c^{3} d^{4} g^{3} 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^{3} b^{4} c^{2} d^{5} g^{3} 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^{4} b^{3} c d^{6} g^{3} 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} g^{3} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{2} d^{6} f^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{144 \, {\left(b x e + a e\right)}^{3} B a b^{5} c d^{7} f^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{72 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} d^{8} f^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{3} d^{5} f^{2} g e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{216 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c d^{7} f^{2} g e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{144 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} d^{8} f^{2} g 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 b^{6} c^{4} d^{4} f g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{48 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{3} d^{5} f g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{2} d^{6} f g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} - \frac{96 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c d^{7} f g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + \frac{96 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} d^{8} f g^{2} 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 b^{5} c^{4} d^{4} g^{3} 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^{2} b^{4} c^{3} d^{5} g^{3} 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^{4} b^{2} c d^{7} g^{3} 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} g^{3} 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)}^{4} B b^{5} c^{2} d^{7} f^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{48 \, {\left(b x e + a e\right)}^{4} B a b^{4} c d^{8} f^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{24 \, {\left(b x e + a e\right)}^{4} B a^{2} b^{3} d^{9} f^{3} e \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)}^{4} B b^{5} c^{3} d^{6} f^{2} g e \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)}^{4} B a b^{4} c^{2} d^{7} f^{2} g e \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)}^{4} B a^{2} b^{3} c d^{8} f^{2} g e \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)}^{4} B a^{3} b^{2} d^{9} f^{2} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{24 \, {\left(b x e + a e\right)}^{4} B b^{5} c^{4} d^{5} f g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{24 \, {\left(b x e + a e\right)}^{4} B a b^{4} c^{3} d^{6} f g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + \frac{24 \, {\left(b x e + a e\right)}^{4} B a^{3} b^{2} c d^{8} f g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} - \frac{24 \, {\left(b x e + a e\right)}^{4} B a^{4} b d^{9} f g^{2} 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 b^{5} c^{5} d^{4} g^{3} 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 b^{4} c^{4} d^{5} g^{3} 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^{4} b c d^{8} g^{3} 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} g^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{4}} + 24 \, A b^{9} c^{2} d^{3} f^{3} e^{5} - 48 \, A a b^{8} c d^{4} f^{3} e^{5} + 24 \, A a^{2} b^{7} d^{5} f^{3} e^{5} - 36 \, A b^{9} c^{3} d^{2} f^{2} g e^{5} - 36 \, B b^{9} c^{3} d^{2} f^{2} g e^{5} + 36 \, A a b^{8} c^{2} d^{3} f^{2} g e^{5} + 108 \, B a b^{8} c^{2} d^{3} f^{2} g e^{5} + 36 \, A a^{2} b^{7} c d^{4} f^{2} g e^{5} - 108 \, B a^{2} b^{7} c d^{4} f^{2} g e^{5} - 36 \, A a^{3} b^{6} d^{5} f^{2} g e^{5} + 36 \, B a^{3} b^{6} d^{5} f^{2} g e^{5} + 24 \, A b^{9} c^{4} d f g^{2} e^{5} + 36 \, B b^{9} c^{4} d f g^{2} e^{5} - 24 \, A a b^{8} c^{3} d^{2} f g^{2} e^{5} - 72 \, B a b^{8} c^{3} d^{2} f g^{2} e^{5} - 24 \, A a^{3} b^{6} c d^{4} f g^{2} e^{5} + 72 \, B a^{3} b^{6} c d^{4} f g^{2} e^{5} + 24 \, A a^{4} b^{5} d^{5} f g^{2} e^{5} - 36 \, B a^{4} b^{5} d^{5} f g^{2} e^{5} - 6 \, A b^{9} c^{5} g^{3} e^{5} - 11 \, B b^{9} c^{5} g^{3} e^{5} + 6 \, A a b^{8} c^{4} d g^{3} e^{5} + 19 \, B a b^{8} c^{4} d g^{3} e^{5} - 2 \, B a^{2} b^{7} c^{3} d^{2} g^{3} e^{5} + 2 \, B a^{3} b^{6} c^{2} d^{3} g^{3} e^{5} + 6 \, A a^{4} b^{5} c d^{4} g^{3} e^{5} - 19 \, B a^{4} b^{5} c d^{4} g^{3} e^{5} - 6 \, A a^{5} b^{4} d^{5} g^{3} e^{5} + 11 \, B a^{5} b^{4} d^{5} g^{3} e^{5} - \frac{72 \, {\left(b x e + a e\right)} A b^{8} c^{2} d^{4} f^{3} e^{4}}{d x + c} + \frac{144 \, {\left(b x e + a e\right)} A a b^{7} c d^{5} f^{3} e^{4}}{d x + c} - \frac{72 \, {\left(b x e + a e\right)} A a^{2} b^{6} d^{6} f^{3} e^{4}}{d x + c} + \frac{144 \, {\left(b x e + a e\right)} A b^{8} c^{3} d^{3} f^{2} g e^{4}}{d x + c} + \frac{108 \, {\left(b x e + a e\right)} B b^{8} c^{3} d^{3} f^{2} g e^{4}}{d x + c} - \frac{216 \, {\left(b x e + a e\right)} A a b^{7} c^{2} d^{4} f^{2} g e^{4}}{d x + c} - \frac{324 \, {\left(b x e + a e\right)} B a b^{7} c^{2} d^{4} f^{2} g e^{4}}{d x + c} + \frac{324 \, {\left(b x e + a e\right)} B a^{2} b^{6} c d^{5} f^{2} g e^{4}}{d x + c} + \frac{72 \, {\left(b x e + a e\right)} A a^{3} b^{5} d^{6} f^{2} g e^{4}}{d x + c} - \frac{108 \, {\left(b x e + a e\right)} B a^{3} b^{5} d^{6} f^{2} g e^{4}}{d x + c} - \frac{96 \, {\left(b x e + a e\right)} A b^{8} c^{4} d^{2} f g^{2} e^{4}}{d x + c} - \frac{120 \, {\left(b x e + a e\right)} B b^{8} c^{4} d^{2} f g^{2} e^{4}}{d x + c} + \frac{96 \, {\left(b x e + a e\right)} A a b^{7} c^{3} d^{3} f g^{2} e^{4}}{d x + c} + \frac{264 \, {\left(b x e + a e\right)} B a b^{7} c^{3} d^{3} f g^{2} e^{4}}{d x + c} + \frac{72 \, {\left(b x e + a e\right)} A a^{2} b^{6} c^{2} d^{4} f g^{2} e^{4}}{d x + c} - \frac{72 \, {\left(b x e + a e\right)} B a^{2} b^{6} c^{2} d^{4} f g^{2} e^{4}}{d x + c} - \frac{48 \, {\left(b x e + a e\right)} A a^{3} b^{5} c d^{5} f g^{2} e^{4}}{d x + c} - \frac{168 \, {\left(b x e + a e\right)} B a^{3} b^{5} c d^{5} f g^{2} e^{4}}{d x + c} - \frac{24 \, {\left(b x e + a e\right)} A a^{4} b^{4} d^{6} f g^{2} e^{4}}{d x + c} + \frac{96 \, {\left(b x e + a e\right)} B a^{4} b^{4} d^{6} f g^{2} e^{4}}{d x + c} + \frac{24 \, {\left(b x e + a e\right)} A b^{8} c^{5} d g^{3} e^{4}}{d x + c} + \frac{38 \, {\left(b x e + a e\right)} B b^{8} c^{5} d g^{3} e^{4}}{d x + c} - \frac{24 \, {\left(b x e + a e\right)} A a b^{7} c^{4} d^{2} g^{3} e^{4}}{d x + c} - \frac{70 \, {\left(b x e + a e\right)} B a b^{7} c^{4} d^{2} g^{3} e^{4}}{d x + c} + \frac{8 \, {\left(b x e + a e\right)} B a^{2} b^{6} c^{3} d^{3} g^{3} e^{4}}{d x + c} - \frac{24 \, {\left(b x e + a e\right)} A a^{3} b^{5} c^{2} d^{4} g^{3} e^{4}}{d x + c} + \frac{16 \, {\left(b x e + a e\right)} B a^{3} b^{5} c^{2} d^{4} g^{3} e^{4}}{d x + c} + \frac{24 \, {\left(b x e + a e\right)} A a^{4} b^{4} c d^{5} g^{3} e^{4}}{d x + c} + \frac{34 \, {\left(b x e + a e\right)} B a^{4} b^{4} c d^{5} g^{3} e^{4}}{d x + c} - \frac{26 \, {\left(b x e + a e\right)} B a^{5} b^{3} d^{6} g^{3} e^{4}}{d x + c} + \frac{72 \, {\left(b x e + a e\right)}^{2} A b^{7} c^{2} d^{5} f^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{144 \, {\left(b x e + a e\right)}^{2} A a b^{6} c d^{6} f^{3} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{5} d^{7} f^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{180 \, {\left(b x e + a e\right)}^{2} A b^{7} c^{3} d^{4} f^{2} g e^{3}}{{\left(d x + c\right)}^{2}} - \frac{108 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{3} d^{4} f^{2} g e^{3}}{{\left(d x + c\right)}^{2}} + \frac{324 \, {\left(b x e + a e\right)}^{2} A a b^{6} c^{2} d^{5} f^{2} g e^{3}}{{\left(d x + c\right)}^{2}} + \frac{324 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{2} d^{5} f^{2} g e^{3}}{{\left(d x + c\right)}^{2}} - \frac{108 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{5} c d^{6} f^{2} g e^{3}}{{\left(d x + c\right)}^{2}} - \frac{324 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c d^{6} f^{2} g e^{3}}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{4} d^{7} f^{2} g e^{3}}{{\left(d x + c\right)}^{2}} + \frac{108 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} d^{7} f^{2} g e^{3}}{{\left(d x + c\right)}^{2}} + \frac{144 \, {\left(b x e + a e\right)}^{2} A b^{7} c^{4} d^{3} f g^{2} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{132 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{4} d^{3} f g^{2} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{216 \, {\left(b x e + a e\right)}^{2} A a b^{6} c^{3} d^{4} f g^{2} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{312 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{3} d^{4} f g^{2} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{144 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{2} d^{5} f g^{2} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{72 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{4} c d^{6} f g^{2} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{120 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c d^{6} f g^{2} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{84 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} d^{7} f g^{2} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x e + a e\right)}^{2} A b^{7} c^{5} d^{2} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{45 \, {\left(b x e + a e\right)}^{2} B b^{7} c^{5} d^{2} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x e + a e\right)}^{2} A a b^{6} c^{4} d^{3} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{93 \, {\left(b x e + a e\right)}^{2} B a b^{6} c^{4} d^{3} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} + \frac{36 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{5} c^{3} d^{4} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{30 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{5} c^{3} d^{4} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{36 \, {\left(b x e + a e\right)}^{2} A a^{3} b^{4} c^{2} d^{5} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{18 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{4} c^{2} d^{5} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{21 \, {\left(b x e + a e\right)}^{2} B a^{4} b^{3} c d^{6} g^{3} 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} g^{3} e^{3}}{{\left(d x + c\right)}^{2}} - \frac{24 \, {\left(b x e + a e\right)}^{3} A b^{6} c^{2} d^{6} f^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{48 \, {\left(b x e + a e\right)}^{3} A a b^{5} c d^{7} f^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{24 \, {\left(b x e + a e\right)}^{3} A a^{2} b^{4} d^{8} f^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{72 \, {\left(b x e + a e\right)}^{3} A b^{6} c^{3} d^{5} f^{2} g e^{2}}{{\left(d x + c\right)}^{3}} + \frac{36 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{3} d^{5} f^{2} g e^{2}}{{\left(d x + c\right)}^{3}} - \frac{144 \, {\left(b x e + a e\right)}^{3} A a b^{5} c^{2} d^{6} f^{2} g e^{2}}{{\left(d x + c\right)}^{3}} - \frac{108 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{2} d^{6} f^{2} g e^{2}}{{\left(d x + c\right)}^{3}} + \frac{72 \, {\left(b x e + a e\right)}^{3} A a^{2} b^{4} c d^{7} f^{2} g e^{2}}{{\left(d x + c\right)}^{3}} + \frac{108 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c d^{7} f^{2} g e^{2}}{{\left(d x + c\right)}^{3}} - \frac{36 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} d^{8} f^{2} g e^{2}}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x e + a e\right)}^{3} A b^{6} c^{4} d^{4} f g^{2} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{48 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{4} d^{4} f g^{2} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{144 \, {\left(b x e + a e\right)}^{3} A a b^{5} c^{3} d^{5} f g^{2} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{120 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{3} d^{5} f g^{2} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x e + a e\right)}^{3} A a^{2} b^{4} c^{2} d^{6} f g^{2} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{72 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{2} d^{6} f g^{2} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{24 \, {\left(b x e + a e\right)}^{3} B a^{3} b^{3} c d^{7} f g^{2} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} d^{8} f g^{2} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x e + a e\right)}^{3} A b^{6} c^{5} d^{3} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{18 \, {\left(b x e + a e\right)}^{3} B b^{6} c^{5} d^{3} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{48 \, {\left(b x e + a e\right)}^{3} A a b^{5} c^{4} d^{4} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{42 \, {\left(b x e + a e\right)}^{3} B a b^{5} c^{4} d^{4} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x e + a e\right)}^{3} A a^{2} b^{4} c^{3} d^{5} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{24 \, {\left(b x e + a e\right)}^{3} B a^{2} b^{4} c^{3} d^{5} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} + \frac{6 \, {\left(b x e + a e\right)}^{3} B a^{4} b^{2} c d^{7} g^{3} e^{2}}{{\left(d x + c\right)}^{3}} - \frac{6 \, {\left(b x e + a e\right)}^{3} B a^{5} b d^{8} g^{3} 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^{4} e^{4} - \frac{4 \, {\left(b x e + a e\right)} b^{7} d^{5} e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)}^{2} b^{6} d^{6} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{3} b^{5} d^{7} e}{{\left(d x + c\right)}^{3}} + \frac{{\left(b x e + a e\right)}^{4} b^{4} d^{8}}{{\left(d x + c\right)}^{4}}\right)}}"," ",0,"1/24*(24*B*b^9*c^2*d^3*f^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 48*B*a*b^8*c*d^4*f^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 24*B*a^2*b^7*d^5*f^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 36*B*b^9*c^3*d^2*f^2*g*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 36*B*a*b^8*c^2*d^3*f^2*g*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 36*B*a^2*b^7*c*d^4*f^2*g*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 36*B*a^3*b^6*d^5*f^2*g*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 24*B*b^9*c^4*d*f*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 24*B*a*b^8*c^3*d^2*f*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 24*B*a^3*b^6*c*d^4*f*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 24*B*a^4*b^5*d^5*f*g^2*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 6*B*b^9*c^5*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 6*B*a*b^8*c^4*d*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 6*B*a^4*b^5*c*d^4*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 6*B*a^5*b^4*d^5*g^3*e^5*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 96*(b*x*e + a*e)*B*b^8*c^2*d^4*f^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 192*(b*x*e + a*e)*B*a*b^7*c*d^5*f^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 96*(b*x*e + a*e)*B*a^2*b^6*d^6*f^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 144*(b*x*e + a*e)*B*b^8*c^3*d^3*f^2*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 144*(b*x*e + a*e)*B*a*b^7*c^2*d^4*f^2*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 144*(b*x*e + a*e)*B*a^2*b^6*c*d^5*f^2*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 144*(b*x*e + a*e)*B*a^3*b^5*d^6*f^2*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 96*(b*x*e + a*e)*B*b^8*c^4*d^2*f*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 96*(b*x*e + a*e)*B*a*b^7*c^3*d^3*f*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 96*(b*x*e + a*e)*B*a^3*b^5*c*d^5*f*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 96*(b*x*e + a*e)*B*a^4*b^4*d^6*f*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 24*(b*x*e + a*e)*B*b^8*c^5*d*g^3*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*b^7*c^4*d^2*g^3*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^4*b^4*c*d^5*g^3*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*g^3*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 144*(b*x*e + a*e)^2*B*b^7*c^2*d^5*f^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 288*(b*x*e + a*e)^2*B*a*b^6*c*d^6*f^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 144*(b*x*e + a*e)^2*B*a^2*b^5*d^7*f^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 216*(b*x*e + a*e)^2*B*b^7*c^3*d^4*f^2*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 216*(b*x*e + a*e)^2*B*a*b^6*c^2*d^5*f^2*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 216*(b*x*e + a*e)^2*B*a^2*b^5*c*d^6*f^2*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 216*(b*x*e + a*e)^2*B*a^3*b^4*d^7*f^2*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 144*(b*x*e + a*e)^2*B*b^7*c^4*d^3*f*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 144*(b*x*e + a*e)^2*B*a*b^6*c^3*d^4*f*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 144*(b*x*e + a*e)^2*B*a^3*b^4*c*d^6*f*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 144*(b*x*e + a*e)^2*B*a^4*b^3*d^7*f*g^2*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*b^7*c^5*d^2*g^3*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*b^6*c^4*d^3*g^3*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^4*b^3*c*d^6*g^3*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*g^3*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 96*(b*x*e + a*e)^3*B*b^6*c^2*d^6*f^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 192*(b*x*e + a*e)^3*B*a*b^5*c*d^7*f^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 96*(b*x*e + a*e)^3*B*a^2*b^4*d^8*f^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 144*(b*x*e + a*e)^3*B*b^6*c^3*d^5*f^2*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 144*(b*x*e + a*e)^3*B*a*b^5*c^2*d^6*f^2*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 144*(b*x*e + a*e)^3*B*a^2*b^4*c*d^7*f^2*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 144*(b*x*e + a*e)^3*B*a^3*b^3*d^8*f^2*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 96*(b*x*e + a*e)^3*B*b^6*c^4*d^4*f*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 96*(b*x*e + a*e)^3*B*a*b^5*c^3*d^5*f*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 96*(b*x*e + a*e)^3*B*a^3*b^3*c*d^7*f*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 - 96*(b*x*e + a*e)^3*B*a^4*b^2*d^8*f*g^2*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*b^6*c^5*d^3*g^3*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*b^5*c^4*d^4*g^3*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^4*b^2*c*d^7*g^3*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*g^3*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^3 + 24*(b*x*e + a*e)^4*B*b^5*c^2*d^7*f^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 48*(b*x*e + a*e)^4*B*a*b^4*c*d^8*f^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 24*(b*x*e + a*e)^4*B*a^2*b^3*d^9*f^3*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 36*(b*x*e + a*e)^4*B*b^5*c^3*d^6*f^2*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 36*(b*x*e + a*e)^4*B*a*b^4*c^2*d^7*f^2*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 36*(b*x*e + a*e)^4*B*a^2*b^3*c*d^8*f^2*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 36*(b*x*e + a*e)^4*B*a^3*b^2*d^9*f^2*g*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 24*(b*x*e + a*e)^4*B*b^5*c^4*d^5*f*g^2*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 24*(b*x*e + a*e)^4*B*a*b^4*c^3*d^6*f*g^2*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 - 24*(b*x*e + a*e)^4*B*a^3*b^2*c*d^8*f*g^2*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^4 + 24*(b*x*e + a*e)^4*B*a^4*b*d^9*f*g^2*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*b^5*c^5*d^4*g^3*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*b^4*c^4*d^5*g^3*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^4*b*c*d^8*g^3*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*g^3*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^2*d^4*f^3*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 48*(b*x*e + a*e)*B*a*b^7*c*d^5*f^3*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 24*(b*x*e + a*e)*B*a^2*b^6*d^6*f^3*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 72*(b*x*e + a*e)*B*a*b^7*c^2*d^4*f^2*g*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 144*(b*x*e + a*e)*B*a^2*b^6*c*d^5*f^2*g*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 72*(b*x*e + a*e)*B*a^3*b^5*d^6*f^2*g*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 72*(b*x*e + a*e)*B*a^2*b^6*c^2*d^4*f*g^2*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 144*(b*x*e + a*e)*B*a^3*b^5*c*d^5*f*g^2*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 72*(b*x*e + a*e)*B*a^4*b^4*d^6*f*g^2*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 24*(b*x*e + a*e)*B*a^3*b^5*c^2*d^4*g^3*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 48*(b*x*e + a*e)*B*a^4*b^4*c*d^5*g^3*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*g^3*e^4*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 72*(b*x*e + a*e)^2*B*b^7*c^2*d^5*f^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 144*(b*x*e + a*e)^2*B*a*b^6*c*d^6*f^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 72*(b*x*e + a*e)^2*B*a^2*b^5*d^7*f^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 36*(b*x*e + a*e)^2*B*b^7*c^3*d^4*f^2*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 108*(b*x*e + a*e)^2*B*a*b^6*c^2*d^5*f^2*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 324*(b*x*e + a*e)^2*B*a^2*b^5*c*d^6*f^2*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 180*(b*x*e + a*e)^2*B*a^3*b^4*d^7*f^2*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 72*(b*x*e + a*e)^2*B*a*b^6*c^3*d^4*f*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 216*(b*x*e + a*e)^2*B*a^3*b^4*c*d^6*f*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 144*(b*x*e + a*e)^2*B*a^4*b^3*d^7*f*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 36*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 36*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 36*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*g^3*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*g^3*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 72*(b*x*e + a*e)^3*B*b^6*c^2*d^6*f^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 144*(b*x*e + a*e)^3*B*a*b^5*c*d^7*f^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 72*(b*x*e + a*e)^3*B*a^2*b^4*d^8*f^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 72*(b*x*e + a*e)^3*B*b^6*c^3*d^5*f^2*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 216*(b*x*e + a*e)^3*B*a^2*b^4*c*d^7*f^2*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 144*(b*x*e + a*e)^3*B*a^3*b^3*d^8*f^2*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 24*(b*x*e + a*e)^3*B*b^6*c^4*d^4*f*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 48*(b*x*e + a*e)^3*B*a*b^5*c^3*d^5*f*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 72*(b*x*e + a*e)^3*B*a^2*b^4*c^2*d^6*f*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 96*(b*x*e + a*e)^3*B*a^3*b^3*c*d^7*f*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 96*(b*x*e + a*e)^3*B*a^4*b^2*d^8*f*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 24*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 24*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 24*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*g^3*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*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 24*(b*x*e + a*e)^4*B*b^5*c^2*d^7*f^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 48*(b*x*e + a*e)^4*B*a*b^4*c*d^8*f^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 24*(b*x*e + a*e)^4*B*a^2*b^3*d^9*f^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 36*(b*x*e + a*e)^4*B*b^5*c^3*d^6*f^2*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 36*(b*x*e + a*e)^4*B*a*b^4*c^2*d^7*f^2*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 36*(b*x*e + a*e)^4*B*a^2*b^3*c*d^8*f^2*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 36*(b*x*e + a*e)^4*B*a^3*b^2*d^9*f^2*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 24*(b*x*e + a*e)^4*B*b^5*c^4*d^5*f*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 24*(b*x*e + a*e)^4*B*a*b^4*c^3*d^6*f*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 24*(b*x*e + a*e)^4*B*a^3*b^2*c*d^8*f*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 24*(b*x*e + a*e)^4*B*a^4*b*d^9*f*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 6*(b*x*e + a*e)^4*B*b^5*c^5*d^4*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 6*(b*x*e + a*e)^4*B*a*b^4*c^4*d^5*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 - 6*(b*x*e + a*e)^4*B*a^4*b*c*d^8*g^3*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*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^4 + 24*A*b^9*c^2*d^3*f^3*e^5 - 48*A*a*b^8*c*d^4*f^3*e^5 + 24*A*a^2*b^7*d^5*f^3*e^5 - 36*A*b^9*c^3*d^2*f^2*g*e^5 - 36*B*b^9*c^3*d^2*f^2*g*e^5 + 36*A*a*b^8*c^2*d^3*f^2*g*e^5 + 108*B*a*b^8*c^2*d^3*f^2*g*e^5 + 36*A*a^2*b^7*c*d^4*f^2*g*e^5 - 108*B*a^2*b^7*c*d^4*f^2*g*e^5 - 36*A*a^3*b^6*d^5*f^2*g*e^5 + 36*B*a^3*b^6*d^5*f^2*g*e^5 + 24*A*b^9*c^4*d*f*g^2*e^5 + 36*B*b^9*c^4*d*f*g^2*e^5 - 24*A*a*b^8*c^3*d^2*f*g^2*e^5 - 72*B*a*b^8*c^3*d^2*f*g^2*e^5 - 24*A*a^3*b^6*c*d^4*f*g^2*e^5 + 72*B*a^3*b^6*c*d^4*f*g^2*e^5 + 24*A*a^4*b^5*d^5*f*g^2*e^5 - 36*B*a^4*b^5*d^5*f*g^2*e^5 - 6*A*b^9*c^5*g^3*e^5 - 11*B*b^9*c^5*g^3*e^5 + 6*A*a*b^8*c^4*d*g^3*e^5 + 19*B*a*b^8*c^4*d*g^3*e^5 - 2*B*a^2*b^7*c^3*d^2*g^3*e^5 + 2*B*a^3*b^6*c^2*d^3*g^3*e^5 + 6*A*a^4*b^5*c*d^4*g^3*e^5 - 19*B*a^4*b^5*c*d^4*g^3*e^5 - 6*A*a^5*b^4*d^5*g^3*e^5 + 11*B*a^5*b^4*d^5*g^3*e^5 - 72*(b*x*e + a*e)*A*b^8*c^2*d^4*f^3*e^4/(d*x + c) + 144*(b*x*e + a*e)*A*a*b^7*c*d^5*f^3*e^4/(d*x + c) - 72*(b*x*e + a*e)*A*a^2*b^6*d^6*f^3*e^4/(d*x + c) + 144*(b*x*e + a*e)*A*b^8*c^3*d^3*f^2*g*e^4/(d*x + c) + 108*(b*x*e + a*e)*B*b^8*c^3*d^3*f^2*g*e^4/(d*x + c) - 216*(b*x*e + a*e)*A*a*b^7*c^2*d^4*f^2*g*e^4/(d*x + c) - 324*(b*x*e + a*e)*B*a*b^7*c^2*d^4*f^2*g*e^4/(d*x + c) + 324*(b*x*e + a*e)*B*a^2*b^6*c*d^5*f^2*g*e^4/(d*x + c) + 72*(b*x*e + a*e)*A*a^3*b^5*d^6*f^2*g*e^4/(d*x + c) - 108*(b*x*e + a*e)*B*a^3*b^5*d^6*f^2*g*e^4/(d*x + c) - 96*(b*x*e + a*e)*A*b^8*c^4*d^2*f*g^2*e^4/(d*x + c) - 120*(b*x*e + a*e)*B*b^8*c^4*d^2*f*g^2*e^4/(d*x + c) + 96*(b*x*e + a*e)*A*a*b^7*c^3*d^3*f*g^2*e^4/(d*x + c) + 264*(b*x*e + a*e)*B*a*b^7*c^3*d^3*f*g^2*e^4/(d*x + c) + 72*(b*x*e + a*e)*A*a^2*b^6*c^2*d^4*f*g^2*e^4/(d*x + c) - 72*(b*x*e + a*e)*B*a^2*b^6*c^2*d^4*f*g^2*e^4/(d*x + c) - 48*(b*x*e + a*e)*A*a^3*b^5*c*d^5*f*g^2*e^4/(d*x + c) - 168*(b*x*e + a*e)*B*a^3*b^5*c*d^5*f*g^2*e^4/(d*x + c) - 24*(b*x*e + a*e)*A*a^4*b^4*d^6*f*g^2*e^4/(d*x + c) + 96*(b*x*e + a*e)*B*a^4*b^4*d^6*f*g^2*e^4/(d*x + c) + 24*(b*x*e + a*e)*A*b^8*c^5*d*g^3*e^4/(d*x + c) + 38*(b*x*e + a*e)*B*b^8*c^5*d*g^3*e^4/(d*x + c) - 24*(b*x*e + a*e)*A*a*b^7*c^4*d^2*g^3*e^4/(d*x + c) - 70*(b*x*e + a*e)*B*a*b^7*c^4*d^2*g^3*e^4/(d*x + c) + 8*(b*x*e + a*e)*B*a^2*b^6*c^3*d^3*g^3*e^4/(d*x + c) - 24*(b*x*e + a*e)*A*a^3*b^5*c^2*d^4*g^3*e^4/(d*x + c) + 16*(b*x*e + a*e)*B*a^3*b^5*c^2*d^4*g^3*e^4/(d*x + c) + 24*(b*x*e + a*e)*A*a^4*b^4*c*d^5*g^3*e^4/(d*x + c) + 34*(b*x*e + a*e)*B*a^4*b^4*c*d^5*g^3*e^4/(d*x + c) - 26*(b*x*e + a*e)*B*a^5*b^3*d^6*g^3*e^4/(d*x + c) + 72*(b*x*e + a*e)^2*A*b^7*c^2*d^5*f^3*e^3/(d*x + c)^2 - 144*(b*x*e + a*e)^2*A*a*b^6*c*d^6*f^3*e^3/(d*x + c)^2 + 72*(b*x*e + a*e)^2*A*a^2*b^5*d^7*f^3*e^3/(d*x + c)^2 - 180*(b*x*e + a*e)^2*A*b^7*c^3*d^4*f^2*g*e^3/(d*x + c)^2 - 108*(b*x*e + a*e)^2*B*b^7*c^3*d^4*f^2*g*e^3/(d*x + c)^2 + 324*(b*x*e + a*e)^2*A*a*b^6*c^2*d^5*f^2*g*e^3/(d*x + c)^2 + 324*(b*x*e + a*e)^2*B*a*b^6*c^2*d^5*f^2*g*e^3/(d*x + c)^2 - 108*(b*x*e + a*e)^2*A*a^2*b^5*c*d^6*f^2*g*e^3/(d*x + c)^2 - 324*(b*x*e + a*e)^2*B*a^2*b^5*c*d^6*f^2*g*e^3/(d*x + c)^2 - 36*(b*x*e + a*e)^2*A*a^3*b^4*d^7*f^2*g*e^3/(d*x + c)^2 + 108*(b*x*e + a*e)^2*B*a^3*b^4*d^7*f^2*g*e^3/(d*x + c)^2 + 144*(b*x*e + a*e)^2*A*b^7*c^4*d^3*f*g^2*e^3/(d*x + c)^2 + 132*(b*x*e + a*e)^2*B*b^7*c^4*d^3*f*g^2*e^3/(d*x + c)^2 - 216*(b*x*e + a*e)^2*A*a*b^6*c^3*d^4*f*g^2*e^3/(d*x + c)^2 - 312*(b*x*e + a*e)^2*B*a*b^6*c^3*d^4*f*g^2*e^3/(d*x + c)^2 + 144*(b*x*e + a*e)^2*B*a^2*b^5*c^2*d^5*f*g^2*e^3/(d*x + c)^2 + 72*(b*x*e + a*e)^2*A*a^3*b^4*c*d^6*f*g^2*e^3/(d*x + c)^2 + 120*(b*x*e + a*e)^2*B*a^3*b^4*c*d^6*f*g^2*e^3/(d*x + c)^2 - 84*(b*x*e + a*e)^2*B*a^4*b^3*d^7*f*g^2*e^3/(d*x + c)^2 - 36*(b*x*e + a*e)^2*A*b^7*c^5*d^2*g^3*e^3/(d*x + c)^2 - 45*(b*x*e + a*e)^2*B*b^7*c^5*d^2*g^3*e^3/(d*x + c)^2 + 36*(b*x*e + a*e)^2*A*a*b^6*c^4*d^3*g^3*e^3/(d*x + c)^2 + 93*(b*x*e + a*e)^2*B*a*b^6*c^4*d^3*g^3*e^3/(d*x + c)^2 + 36*(b*x*e + a*e)^2*A*a^2*b^5*c^3*d^4*g^3*e^3/(d*x + c)^2 - 30*(b*x*e + a*e)^2*B*a^2*b^5*c^3*d^4*g^3*e^3/(d*x + c)^2 - 36*(b*x*e + a*e)^2*A*a^3*b^4*c^2*d^5*g^3*e^3/(d*x + c)^2 - 18*(b*x*e + a*e)^2*B*a^3*b^4*c^2*d^5*g^3*e^3/(d*x + c)^2 - 21*(b*x*e + a*e)^2*B*a^4*b^3*c*d^6*g^3*e^3/(d*x + c)^2 + 21*(b*x*e + a*e)^2*B*a^5*b^2*d^7*g^3*e^3/(d*x + c)^2 - 24*(b*x*e + a*e)^3*A*b^6*c^2*d^6*f^3*e^2/(d*x + c)^3 + 48*(b*x*e + a*e)^3*A*a*b^5*c*d^7*f^3*e^2/(d*x + c)^3 - 24*(b*x*e + a*e)^3*A*a^2*b^4*d^8*f^3*e^2/(d*x + c)^3 + 72*(b*x*e + a*e)^3*A*b^6*c^3*d^5*f^2*g*e^2/(d*x + c)^3 + 36*(b*x*e + a*e)^3*B*b^6*c^3*d^5*f^2*g*e^2/(d*x + c)^3 - 144*(b*x*e + a*e)^3*A*a*b^5*c^2*d^6*f^2*g*e^2/(d*x + c)^3 - 108*(b*x*e + a*e)^3*B*a*b^5*c^2*d^6*f^2*g*e^2/(d*x + c)^3 + 72*(b*x*e + a*e)^3*A*a^2*b^4*c*d^7*f^2*g*e^2/(d*x + c)^3 + 108*(b*x*e + a*e)^3*B*a^2*b^4*c*d^7*f^2*g*e^2/(d*x + c)^3 - 36*(b*x*e + a*e)^3*B*a^3*b^3*d^8*f^2*g*e^2/(d*x + c)^3 - 72*(b*x*e + a*e)^3*A*b^6*c^4*d^4*f*g^2*e^2/(d*x + c)^3 - 48*(b*x*e + a*e)^3*B*b^6*c^4*d^4*f*g^2*e^2/(d*x + c)^3 + 144*(b*x*e + a*e)^3*A*a*b^5*c^3*d^5*f*g^2*e^2/(d*x + c)^3 + 120*(b*x*e + a*e)^3*B*a*b^5*c^3*d^5*f*g^2*e^2/(d*x + c)^3 - 72*(b*x*e + a*e)^3*A*a^2*b^4*c^2*d^6*f*g^2*e^2/(d*x + c)^3 - 72*(b*x*e + a*e)^3*B*a^2*b^4*c^2*d^6*f*g^2*e^2/(d*x + c)^3 - 24*(b*x*e + a*e)^3*B*a^3*b^3*c*d^7*f*g^2*e^2/(d*x + c)^3 + 24*(b*x*e + a*e)^3*B*a^4*b^2*d^8*f*g^2*e^2/(d*x + c)^3 + 24*(b*x*e + a*e)^3*A*b^6*c^5*d^3*g^3*e^2/(d*x + c)^3 + 18*(b*x*e + a*e)^3*B*b^6*c^5*d^3*g^3*e^2/(d*x + c)^3 - 48*(b*x*e + a*e)^3*A*a*b^5*c^4*d^4*g^3*e^2/(d*x + c)^3 - 42*(b*x*e + a*e)^3*B*a*b^5*c^4*d^4*g^3*e^2/(d*x + c)^3 + 24*(b*x*e + a*e)^3*A*a^2*b^4*c^3*d^5*g^3*e^2/(d*x + c)^3 + 24*(b*x*e + a*e)^3*B*a^2*b^4*c^3*d^5*g^3*e^2/(d*x + c)^3 + 6*(b*x*e + a*e)^3*B*a^4*b^2*c*d^7*g^3*e^2/(d*x + c)^3 - 6*(b*x*e + a*e)^3*B*a^5*b*d^8*g^3*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^4*e^4 - 4*(b*x*e + a*e)*b^7*d^5*e^3/(d*x + c) + 6*(b*x*e + a*e)^2*b^6*d^6*e^2/(d*x + c)^2 - 4*(b*x*e + a*e)^3*b^5*d^7*e/(d*x + c)^3 + (b*x*e + a*e)^4*b^4*d^8/(d*x + c)^4)","B",0
232,1,5950,0,1.957671," ","integrate((g*x+f)^2*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(6 \, B b^{7} c^{2} d^{2} f^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 12 \, B a b^{6} c d^{3} f^{2} 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} d^{4} f^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 6 \, B b^{7} c^{3} d f g e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 6 \, B a b^{6} c^{2} d^{2} f g 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 d^{3} f g e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 6 \, B a^{3} b^{4} d^{4} f g e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 2 \, B b^{7} c^{4} g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 2 \, B a b^{6} c^{3} d g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 2 \, B a^{3} b^{4} c d^{3} g^{2} 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} g^{2} e^{4} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{18 \, {\left(b x e + a e\right)} B b^{6} c^{2} d^{3} f^{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 b^{5} c d^{4} f^{2} 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} d^{5} f^{2} 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 b^{6} c^{3} d^{2} f g 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 b^{5} c^{2} d^{3} f g 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 d^{4} f g 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^{3} b^{3} d^{5} f g 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 b^{6} c^{4} d g^{2} 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 b^{5} c^{3} d^{2} g^{2} 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^{3} b^{3} c d^{4} g^{2} 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} g^{2} 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)}^{2} B b^{5} c^{2} d^{4} f^{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{36 \, {\left(b x e + a e\right)}^{2} B a b^{4} c d^{5} f^{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{18 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} d^{6} f^{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{18 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{3} d^{3} f 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)}^{2}} + \frac{18 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{2} d^{4} f 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)}^{2}} + \frac{18 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c d^{5} f 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)}^{2}} - \frac{18 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} d^{6} f 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)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{4} d^{2} 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)}^{2}} - \frac{6 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{3} d^{3} 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)}^{2}} - \frac{6 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} c 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)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} B a^{4} b 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)}^{2}} - \frac{6 \, {\left(b x e + a e\right)}^{3} B b^{4} c^{2} d^{5} f^{2} 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 b^{3} c d^{6} f^{2} 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} d^{7} f^{2} 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 b^{4} c^{3} d^{4} f g 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 b^{3} c^{2} d^{5} f g 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 d^{6} f g 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^{3} b d^{7} f g 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 b^{4} c^{4} d^{3} 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)}^{3}} + \frac{2 \, {\left(b x e + a e\right)}^{3} B a b^{3} c^{3} d^{4} 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)}^{3}} + \frac{2 \, {\left(b x e + a e\right)}^{3} B a^{3} b c 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)}^{3}} - \frac{2 \, {\left(b x e + a e\right)}^{3} B a^{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)}^{3}} + \frac{6 \, {\left(b x e + a e\right)} B b^{6} c^{2} d^{3} f^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{12 \, {\left(b x e + a e\right)} B a b^{5} c d^{4} f^{2} 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^{2} b^{4} d^{5} f^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{12 \, {\left(b x e + a e\right)} B a b^{5} c^{2} d^{3} f g 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^{2} b^{4} c d^{4} f g e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{12 \, {\left(b x e + a e\right)} B a^{3} b^{3} d^{5} f g 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^{2} b^{4} c^{2} d^{3} g^{2} e^{3} \log\left(\frac{b x e + a e}{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^{2} 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} g^{2} e^{3} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{12 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{2} d^{4} f^{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 d^{5} f^{2} 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^{2} b^{3} d^{6} f^{2} 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 b^{5} c^{3} d^{3} f g 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 b^{4} c^{2} d^{4} f g e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{30 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c d^{5} f g 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^{3} b^{2} d^{6} f g 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 b^{4} c^{3} d^{3} g^{2} 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^{2} b^{3} c^{2} d^{4} g^{2} 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^{3} b^{2} c d^{5} g^{2} 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} g^{2} 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)}^{3} B b^{4} c^{2} d^{5} f^{2} 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 b^{3} c d^{6} f^{2} 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} d^{7} f^{2} 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 b^{4} c^{3} d^{4} f g 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 b^{3} c^{2} d^{5} f g 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 d^{6} f g 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^{3} b d^{7} f g 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 b^{4} c^{4} d^{3} g^{2} 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 b^{3} c^{3} d^{4} g^{2} 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^{3} b c d^{6} g^{2} 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} g^{2} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{3}} + 6 \, A b^{7} c^{2} d^{2} f^{2} e^{4} - 12 \, A a b^{6} c d^{3} f^{2} e^{4} + 6 \, A a^{2} b^{5} d^{4} f^{2} e^{4} - 6 \, A b^{7} c^{3} d f g e^{4} - 6 \, B b^{7} c^{3} d f g e^{4} + 6 \, A a b^{6} c^{2} d^{2} f g e^{4} + 18 \, B a b^{6} c^{2} d^{2} f g e^{4} + 6 \, A a^{2} b^{5} c d^{3} f g e^{4} - 18 \, B a^{2} b^{5} c d^{3} f g e^{4} - 6 \, A a^{3} b^{4} d^{4} f g e^{4} + 6 \, B a^{3} b^{4} d^{4} f g e^{4} + 2 \, A b^{7} c^{4} g^{2} e^{4} + 3 \, B b^{7} c^{4} g^{2} e^{4} - 2 \, A a b^{6} c^{3} d g^{2} e^{4} - 6 \, B a b^{6} c^{3} d g^{2} e^{4} - 2 \, A a^{3} b^{4} c d^{3} g^{2} e^{4} + 6 \, B a^{3} b^{4} c d^{3} g^{2} e^{4} + 2 \, A a^{4} b^{3} d^{4} g^{2} e^{4} - 3 \, B a^{4} b^{3} d^{4} g^{2} e^{4} - \frac{12 \, {\left(b x e + a e\right)} A b^{6} c^{2} d^{3} f^{2} e^{3}}{d x + c} + \frac{24 \, {\left(b x e + a e\right)} A a b^{5} c d^{4} f^{2} e^{3}}{d x + c} - \frac{12 \, {\left(b x e + a e\right)} A a^{2} b^{4} d^{5} f^{2} e^{3}}{d x + c} + \frac{18 \, {\left(b x e + a e\right)} A b^{6} c^{3} d^{2} f g e^{3}}{d x + c} + \frac{12 \, {\left(b x e + a e\right)} B b^{6} c^{3} d^{2} f g e^{3}}{d x + c} - \frac{30 \, {\left(b x e + a e\right)} A a b^{5} c^{2} d^{3} f g e^{3}}{d x + c} - \frac{36 \, {\left(b x e + a e\right)} B a b^{5} c^{2} d^{3} f g e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} A a^{2} b^{4} c d^{4} f g e^{3}}{d x + c} + \frac{36 \, {\left(b x e + a e\right)} B a^{2} b^{4} c d^{4} f g e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} A a^{3} b^{3} d^{5} f g e^{3}}{d x + c} - \frac{12 \, {\left(b x e + a e\right)} B a^{3} b^{3} d^{5} f g e^{3}}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} A b^{6} c^{4} d g^{2} e^{3}}{d x + c} - \frac{7 \, {\left(b x e + a e\right)} B b^{6} c^{4} d g^{2} e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} A a b^{5} c^{3} d^{2} g^{2} e^{3}}{d x + c} + \frac{16 \, {\left(b x e + a e\right)} B a b^{5} c^{3} d^{2} g^{2} e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} A a^{2} b^{4} c^{2} d^{3} g^{2} e^{3}}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} B a^{2} b^{4} c^{2} d^{3} g^{2} e^{3}}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} A a^{3} b^{3} c d^{4} g^{2} e^{3}}{d x + c} - \frac{8 \, {\left(b x e + a e\right)} B a^{3} b^{3} c d^{4} g^{2} e^{3}}{d x + c} + \frac{5 \, {\left(b x e + a e\right)} B a^{4} b^{2} d^{5} g^{2} e^{3}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)}^{2} A b^{5} c^{2} d^{4} f^{2} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} A a b^{4} c d^{5} f^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{3} d^{6} f^{2} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} A b^{5} c^{3} d^{3} f g e^{2}}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{3} d^{3} f g e^{2}}{{\left(d x + c\right)}^{2}} + \frac{24 \, {\left(b x e + a e\right)}^{2} A a b^{4} c^{2} d^{4} f g e^{2}}{{\left(d x + c\right)}^{2}} + \frac{18 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{2} d^{4} f g e^{2}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{3} c d^{5} f g e^{2}}{{\left(d x + c\right)}^{2}} - \frac{18 \, {\left(b x e + a e\right)}^{2} B a^{2} b^{3} c d^{5} f g e^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} d^{6} f g e^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} A b^{5} c^{4} d^{2} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x e + a e\right)}^{2} B b^{5} c^{4} d^{2} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} A a b^{4} c^{3} d^{3} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{10 \, {\left(b x e + a e\right)}^{2} B a b^{4} c^{3} d^{3} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} A a^{2} b^{3} c^{2} d^{4} g^{2} 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^{2} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{2} B a^{3} b^{2} c d^{5} g^{2} e^{2}}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x e + a e\right)}^{2} B a^{4} b d^{6} g^{2} 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^{3} e^{3} - \frac{3 \, {\left(b x e + a e\right)} b^{5} d^{4} e^{2}}{d x + c} + \frac{3 \, {\left(b x e + a e\right)}^{2} b^{4} d^{5} e}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{3} b^{3} d^{6}}{{\left(d x + c\right)}^{3}}\right)}}"," ",0,"1/6*(6*B*b^7*c^2*d^2*f^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 12*B*a*b^6*c*d^3*f^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 6*B*a^2*b^5*d^4*f^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 6*B*b^7*c^3*d*f*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 6*B*a*b^6*c^2*d^2*f*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 6*B*a^2*b^5*c*d^3*f*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 6*B*a^3*b^4*d^4*f*g*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 2*B*b^7*c^4*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 2*B*a*b^6*c^3*d*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 2*B*a^3*b^4*c*d^3*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 2*B*a^4*b^3*d^4*g^2*e^4*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 18*(b*x*e + a*e)*B*b^6*c^2*d^3*f^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*b^5*c*d^4*f^2*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*d^5*f^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 18*(b*x*e + a*e)*B*b^6*c^3*d^2*f*g*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*b^5*c^2*d^3*f*g*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*d^4*f*g*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^3*b^3*d^5*f*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 6*(b*x*e + a*e)*B*b^6*c^4*d*g^2*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*b^5*c^3*d^2*g^2*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^3*b^3*c*d^4*g^2*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*g^2*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 18*(b*x*e + a*e)^2*B*b^5*c^2*d^4*f^2*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*b^4*c*d^5*f^2*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*d^6*f^2*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*b^5*c^3*d^3*f*g*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*b^4*c^2*d^4*f*g*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*d^5*f*g*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^3*b^2*d^6*f*g*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*b^5*c^4*d^2*g^2*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*b^4*c^3*d^3*g^2*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^3*b^2*c*d^5*g^2*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*g^2*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 6*(b*x*e + a*e)^3*B*b^4*c^2*d^5*f^2*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*b^3*c*d^6*f^2*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*d^7*f^2*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*b^4*c^3*d^4*f*g*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*b^3*c^2*d^5*f*g*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*d^6*f*g*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^3*b*d^7*f*g*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*b^4*c^4*d^3*g^2*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*b^3*c^3*d^4*g^2*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^3*b*c*d^6*g^2*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*g^2*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^2*d^3*f^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 12*(b*x*e + a*e)*B*a*b^5*c*d^4*f^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 6*(b*x*e + a*e)*B*a^2*b^4*d^5*f^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 12*(b*x*e + a*e)*B*a*b^5*c^2*d^3*f*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 24*(b*x*e + a*e)*B*a^2*b^4*c*d^4*f*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 12*(b*x*e + a*e)*B*a^3*b^3*d^5*f*g*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 6*(b*x*e + a*e)*B*a^2*b^4*c^2*d^3*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 12*(b*x*e + a*e)*B*a^3*b^3*c*d^4*g^2*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*g^2*e^3*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 12*(b*x*e + a*e)^2*B*b^5*c^2*d^4*f^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*d^5*f^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 12*(b*x*e + a*e)^2*B*a^2*b^3*d^6*f^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 6*(b*x*e + a*e)^2*B*b^5*c^3*d^3*f*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 6*(b*x*e + a*e)^2*B*a*b^4*c^2*d^4*f*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 30*(b*x*e + a*e)^2*B*a^2*b^3*c*d^5*f*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 18*(b*x*e + a*e)^2*B*a^3*b^2*d^6*f*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 6*(b*x*e + a*e)^2*B*a*b^4*c^3*d^3*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 6*(b*x*e + a*e)^2*B*a^2*b^3*c^2*d^4*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 6*(b*x*e + a*e)^2*B*a^3*b^2*c*d^5*g^2*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*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 6*(b*x*e + a*e)^3*B*b^4*c^2*d^5*f^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 12*(b*x*e + a*e)^3*B*a*b^3*c*d^6*f^2*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*d^7*f^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 6*(b*x*e + a*e)^3*B*b^4*c^3*d^4*f*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 6*(b*x*e + a*e)^3*B*a*b^3*c^2*d^5*f*g*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*d^6*f*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 6*(b*x*e + a*e)^3*B*a^3*b*d^7*f*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 2*(b*x*e + a*e)^3*B*b^4*c^4*d^3*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 2*(b*x*e + a*e)^3*B*a*b^3*c^3*d^4*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 - 2*(b*x*e + a*e)^3*B*a^3*b*c*d^6*g^2*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*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^3 + 6*A*b^7*c^2*d^2*f^2*e^4 - 12*A*a*b^6*c*d^3*f^2*e^4 + 6*A*a^2*b^5*d^4*f^2*e^4 - 6*A*b^7*c^3*d*f*g*e^4 - 6*B*b^7*c^3*d*f*g*e^4 + 6*A*a*b^6*c^2*d^2*f*g*e^4 + 18*B*a*b^6*c^2*d^2*f*g*e^4 + 6*A*a^2*b^5*c*d^3*f*g*e^4 - 18*B*a^2*b^5*c*d^3*f*g*e^4 - 6*A*a^3*b^4*d^4*f*g*e^4 + 6*B*a^3*b^4*d^4*f*g*e^4 + 2*A*b^7*c^4*g^2*e^4 + 3*B*b^7*c^4*g^2*e^4 - 2*A*a*b^6*c^3*d*g^2*e^4 - 6*B*a*b^6*c^3*d*g^2*e^4 - 2*A*a^3*b^4*c*d^3*g^2*e^4 + 6*B*a^3*b^4*c*d^3*g^2*e^4 + 2*A*a^4*b^3*d^4*g^2*e^4 - 3*B*a^4*b^3*d^4*g^2*e^4 - 12*(b*x*e + a*e)*A*b^6*c^2*d^3*f^2*e^3/(d*x + c) + 24*(b*x*e + a*e)*A*a*b^5*c*d^4*f^2*e^3/(d*x + c) - 12*(b*x*e + a*e)*A*a^2*b^4*d^5*f^2*e^3/(d*x + c) + 18*(b*x*e + a*e)*A*b^6*c^3*d^2*f*g*e^3/(d*x + c) + 12*(b*x*e + a*e)*B*b^6*c^3*d^2*f*g*e^3/(d*x + c) - 30*(b*x*e + a*e)*A*a*b^5*c^2*d^3*f*g*e^3/(d*x + c) - 36*(b*x*e + a*e)*B*a*b^5*c^2*d^3*f*g*e^3/(d*x + c) + 6*(b*x*e + a*e)*A*a^2*b^4*c*d^4*f*g*e^3/(d*x + c) + 36*(b*x*e + a*e)*B*a^2*b^4*c*d^4*f*g*e^3/(d*x + c) + 6*(b*x*e + a*e)*A*a^3*b^3*d^5*f*g*e^3/(d*x + c) - 12*(b*x*e + a*e)*B*a^3*b^3*d^5*f*g*e^3/(d*x + c) - 6*(b*x*e + a*e)*A*b^6*c^4*d*g^2*e^3/(d*x + c) - 7*(b*x*e + a*e)*B*b^6*c^4*d*g^2*e^3/(d*x + c) + 6*(b*x*e + a*e)*A*a*b^5*c^3*d^2*g^2*e^3/(d*x + c) + 16*(b*x*e + a*e)*B*a*b^5*c^3*d^2*g^2*e^3/(d*x + c) + 6*(b*x*e + a*e)*A*a^2*b^4*c^2*d^3*g^2*e^3/(d*x + c) - 6*(b*x*e + a*e)*B*a^2*b^4*c^2*d^3*g^2*e^3/(d*x + c) - 6*(b*x*e + a*e)*A*a^3*b^3*c*d^4*g^2*e^3/(d*x + c) - 8*(b*x*e + a*e)*B*a^3*b^3*c*d^4*g^2*e^3/(d*x + c) + 5*(b*x*e + a*e)*B*a^4*b^2*d^5*g^2*e^3/(d*x + c) + 6*(b*x*e + a*e)^2*A*b^5*c^2*d^4*f^2*e^2/(d*x + c)^2 - 12*(b*x*e + a*e)^2*A*a*b^4*c*d^5*f^2*e^2/(d*x + c)^2 + 6*(b*x*e + a*e)^2*A*a^2*b^3*d^6*f^2*e^2/(d*x + c)^2 - 12*(b*x*e + a*e)^2*A*b^5*c^3*d^3*f*g*e^2/(d*x + c)^2 - 6*(b*x*e + a*e)^2*B*b^5*c^3*d^3*f*g*e^2/(d*x + c)^2 + 24*(b*x*e + a*e)^2*A*a*b^4*c^2*d^4*f*g*e^2/(d*x + c)^2 + 18*(b*x*e + a*e)^2*B*a*b^4*c^2*d^4*f*g*e^2/(d*x + c)^2 - 12*(b*x*e + a*e)^2*A*a^2*b^3*c*d^5*f*g*e^2/(d*x + c)^2 - 18*(b*x*e + a*e)^2*B*a^2*b^3*c*d^5*f*g*e^2/(d*x + c)^2 + 6*(b*x*e + a*e)^2*B*a^3*b^2*d^6*f*g*e^2/(d*x + c)^2 + 6*(b*x*e + a*e)^2*A*b^5*c^4*d^2*g^2*e^2/(d*x + c)^2 + 4*(b*x*e + a*e)^2*B*b^5*c^4*d^2*g^2*e^2/(d*x + c)^2 - 12*(b*x*e + a*e)^2*A*a*b^4*c^3*d^3*g^2*e^2/(d*x + c)^2 - 10*(b*x*e + a*e)^2*B*a*b^4*c^3*d^3*g^2*e^2/(d*x + c)^2 + 6*(b*x*e + a*e)^2*A*a^2*b^3*c^2*d^4*g^2*e^2/(d*x + c)^2 + 6*(b*x*e + a*e)^2*B*a^2*b^3*c^2*d^4*g^2*e^2/(d*x + c)^2 + 2*(b*x*e + a*e)^2*B*a^3*b^2*c*d^5*g^2*e^2/(d*x + c)^2 - 2*(b*x*e + a*e)^2*B*a^4*b*d^6*g^2*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^3*e^3 - 3*(b*x*e + a*e)*b^5*d^4*e^2/(d*x + c) + 3*(b*x*e + a*e)^2*b^4*d^5*e/(d*x + c)^2 - (b*x*e + a*e)^3*b^3*d^6/(d*x + c)^3)","B",0
233,1,2355,0,1.062793," ","integrate((g*x+f)*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\frac{{\left(2 \, B b^{5} c^{2} d f e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - 4 \, B a b^{4} c d^{2} f e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + 2 \, B a^{2} b^{3} d^{3} f e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - B b^{5} c^{3} g e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + B a b^{4} c^{2} d g e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) + B a^{2} b^{3} c d^{2} g 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} g e^{3} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right) - \frac{4 \, {\left(b x e + a e\right)} B b^{4} c^{2} d^{2} f e^{2} \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 b^{3} c d^{3} f e^{2} \log\left(-b e + \frac{{\left(b x e + a e\right)} d}{d x + c}\right)}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B a^{2} b^{2} d^{4} f 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 b^{4} c^{3} d g 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 b^{3} c^{2} d^{2} g 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^{2} b^{2} c d^{3} g 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} g 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)}^{2} B b^{3} c^{2} d^{3} f 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{4 \, {\left(b x e + a e\right)}^{2} B a b^{2} c d^{4} f 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)}^{2} B a^{2} b d^{5} f 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 b^{3} c^{3} d^{2} g 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 b^{2} c^{2} d^{3} g 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^{2} b c 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)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} B a^{3} 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)}^{2}} + \frac{2 \, {\left(b x e + a e\right)} B b^{4} c^{2} d^{2} f e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B a b^{3} c d^{3} f 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^{2} b^{2} d^{4} f 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 b^{3} c^{2} d^{2} g e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{4 \, {\left(b x e + a e\right)} B a^{2} b^{2} c d^{3} g 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} g 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)}^{2} B b^{3} c^{2} d^{3} f e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x e + a e\right)}^{2} B a b^{2} c d^{4} f e \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 a^{2} b d^{5} f 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 b^{3} c^{3} d^{2} g 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 b^{2} c^{2} d^{3} g 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^{2} b c d^{4} g 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} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + 2 \, A b^{5} c^{2} d f e^{3} - 4 \, A a b^{4} c d^{2} f e^{3} + 2 \, A a^{2} b^{3} d^{3} f e^{3} - A b^{5} c^{3} g e^{3} - B b^{5} c^{3} g e^{3} + A a b^{4} c^{2} d g e^{3} + 3 \, B a b^{4} c^{2} d g e^{3} + A a^{2} b^{3} c d^{2} g e^{3} - 3 \, B a^{2} b^{3} c d^{2} g e^{3} - A a^{3} b^{2} d^{3} g e^{3} + B a^{3} b^{2} d^{3} g e^{3} - \frac{2 \, {\left(b x e + a e\right)} A b^{4} c^{2} d^{2} f e^{2}}{d x + c} + \frac{4 \, {\left(b x e + a e\right)} A a b^{3} c d^{3} f e^{2}}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} A a^{2} b^{2} d^{4} f e^{2}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} A b^{4} c^{3} d g e^{2}}{d x + c} + \frac{{\left(b x e + a e\right)} B b^{4} c^{3} d g e^{2}}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} A a b^{3} c^{2} d^{2} g e^{2}}{d x + c} - \frac{3 \, {\left(b x e + a e\right)} B a b^{3} c^{2} d^{2} g e^{2}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} A a^{2} b^{2} c d^{3} g e^{2}}{d x + c} + \frac{3 \, {\left(b x e + a e\right)} B a^{2} b^{2} c d^{3} g e^{2}}{d x + c} - \frac{{\left(b x e + a e\right)} B a^{3} b d^{4} g 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^{2} e^{2} - \frac{2 \, {\left(b x e + a e\right)} b^{3} d^{3} e}{d x + c} + \frac{{\left(b x e + a e\right)}^{2} b^{2} d^{4}}{{\left(d x + c\right)}^{2}}\right)}}"," ",0,"1/2*(2*B*b^5*c^2*d*f*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 4*B*a*b^4*c*d^2*f*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + 2*B*a^2*b^3*d^3*f*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - B*b^5*c^3*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + B*a*b^4*c^2*d*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) + B*a^2*b^3*c*d^2*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - B*a^3*b^2*d^3*g*e^3*log(-b*e + (b*x*e + a*e)*d/(d*x + c)) - 4*(b*x*e + a*e)*B*b^4*c^2*d^2*f*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 8*(b*x*e + a*e)*B*a*b^3*c*d^3*f*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) - 4*(b*x*e + a*e)*B*a^2*b^2*d^4*f*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)*B*b^4*c^3*d*g*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*b^3*c^2*d^2*g*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^2*b^2*c*d^3*g*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*g*e^2*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)^2*B*b^3*c^2*d^3*f*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - 4*(b*x*e + a*e)^2*B*a*b^2*c*d^4*f*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 + 2*(b*x*e + a*e)^2*B*a^2*b*d^5*f*e*log(-b*e + (b*x*e + a*e)*d/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^2*B*b^3*c^3*d^2*g*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*b^2*c^2*d^3*g*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^2*b*c*d^4*g*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*g*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^2*d^2*f*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 4*(b*x*e + a*e)*B*a*b^3*c*d^3*f*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)*B*a^2*b^2*d^4*f*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*B*a*b^3*c^2*d^2*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 4*(b*x*e + a*e)*B*a^2*b^2*c*d^3*g*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*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)^2*B*b^3*c^2*d^3*f*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 4*(b*x*e + a*e)^2*B*a*b^2*c*d^4*f*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 2*(b*x*e + a*e)^2*B*a^2*b*d^5*f*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + (b*x*e + a*e)^2*B*b^3*c^3*d^2*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^2*B*a*b^2*c^2*d^3*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^2*B*a^2*b*c*d^4*g*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*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 2*A*b^5*c^2*d*f*e^3 - 4*A*a*b^4*c*d^2*f*e^3 + 2*A*a^2*b^3*d^3*f*e^3 - A*b^5*c^3*g*e^3 - B*b^5*c^3*g*e^3 + A*a*b^4*c^2*d*g*e^3 + 3*B*a*b^4*c^2*d*g*e^3 + A*a^2*b^3*c*d^2*g*e^3 - 3*B*a^2*b^3*c*d^2*g*e^3 - A*a^3*b^2*d^3*g*e^3 + B*a^3*b^2*d^3*g*e^3 - 2*(b*x*e + a*e)*A*b^4*c^2*d^2*f*e^2/(d*x + c) + 4*(b*x*e + a*e)*A*a*b^3*c*d^3*f*e^2/(d*x + c) - 2*(b*x*e + a*e)*A*a^2*b^2*d^4*f*e^2/(d*x + c) + 2*(b*x*e + a*e)*A*b^4*c^3*d*g*e^2/(d*x + c) + (b*x*e + a*e)*B*b^4*c^3*d*g*e^2/(d*x + c) - 4*(b*x*e + a*e)*A*a*b^3*c^2*d^2*g*e^2/(d*x + c) - 3*(b*x*e + a*e)*B*a*b^3*c^2*d^2*g*e^2/(d*x + c) + 2*(b*x*e + a*e)*A*a^2*b^2*c*d^3*g*e^2/(d*x + c) + 3*(b*x*e + a*e)*B*a^2*b^2*c*d^3*g*e^2/(d*x + c) - (b*x*e + a*e)*B*a^3*b*d^4*g*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^2*e^2 - 2*(b*x*e + a*e)*b^3*d^3*e/(d*x + c) + (b*x*e + a*e)^2*b^2*d^4/(d*x + c)^2)","B",0
234,1,427,0,0.521301," ","integrate(A+B*log(e*(b*x+a)/(d*x+c)),x, algorithm=""giac"")","-{\left({\left(b^{2} c^{2} e^{2} - 2 \, a b c d e^{2} + a^{2} d^{2} e^{2}\right)} {\left(\frac{e^{\left(-1\right)} \log\left(\frac{{\left| b x e + a e \right|}}{{\left| d x + c \right|}}\right)}{b d} - \frac{e^{\left(-1\right)} \log\left({\left| -b e + \frac{{\left(b x e + a e\right)} d}{d x + c} \right|}\right)}{b d}\right)} - \frac{{\left(b^{2} c^{2} e^{2} - 2 \, a b c d e^{2} + a^{2} d^{2} e^{2}\right)} \log\left(\frac{{\left(a - \frac{b {\left(\frac{a}{b c - a d} - \frac{{\left(b x e + a e\right)} c}{{\left(b c e - a d e\right)} {\left(d x + c\right)}}\right)}}{\frac{b}{b c - a d} - \frac{{\left(b x e + a e\right)} d}{{\left(b c e - a d e\right)} {\left(d x + c\right)}}}\right)} e}{c - \frac{d {\left(\frac{a}{b c - a d} - \frac{{\left(b x e + a e\right)} c}{{\left(b c e - a d e\right)} {\left(d x + c\right)}}\right)}}{\frac{b}{b c - a d} - \frac{{\left(b x e + a e\right)} d}{{\left(b c e - a d e\right)} {\left(d x + c\right)}}}}\right)}{{\left(b e - \frac{{\left(b x e + a e\right)} d}{d x + c}\right)} d}\right)} B {\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)} + A x"," ",0,"-((b^2*c^2*e^2 - 2*a*b*c*d*e^2 + a^2*d^2*e^2)*(e^(-1)*log(abs(b*x*e + a*e)/abs(d*x + c))/(b*d) - e^(-1)*log(abs(-b*e + (b*x*e + a*e)*d/(d*x + c)))/(b*d)) - (b^2*c^2*e^2 - 2*a*b*c*d*e^2 + a^2*d^2*e^2)*log((a - b*(a/(b*c - a*d) - (b*x*e + a*e)*c/((b*c*e - a*d*e)*(d*x + c)))/(b/(b*c - a*d) - (b*x*e + a*e)*d/((b*c*e - a*d*e)*(d*x + c))))*e/(c - d*(a/(b*c - a*d) - (b*x*e + a*e)*c/((b*c*e - a*d*e)*(d*x + c)))/(b/(b*c - a*d) - (b*x*e + a*e)*d/((b*c*e - a*d*e)*(d*x + c)))))/((b*e - (b*x*e + a*e)*d/(d*x + c))*d))*B*(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*x","B",0
235,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(g*x+f),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,1,1537,0,1.105660," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(g*x+f)^2,x, algorithm=""giac"")","\frac{{\left(B b^{3} c^{2} f e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - 2 \, B a b^{2} c d f e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) + B a^{2} b d^{2} f e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - B a b^{2} c^{2} g e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) + 2 \, B a^{2} b c d g e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - B a^{3} d^{2} g e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - \frac{{\left(b x e + a e\right)} B b^{2} c^{2} d f e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} B a b c d^{2} f e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{{\left(b x e + a e\right)} B a^{2} d^{3} f e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{{\left(b x e + a e\right)} B b^{2} c^{3} g e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} B a b c^{2} d g e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{{\left(b x e + a e\right)} B a^{2} c d^{2} g e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{{\left(b x e + a e\right)} B b^{2} c^{2} d f 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)} B a b c d^{2} f e \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{{\left(b x e + a e\right)} B a^{2} d^{3} f e \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{{\left(b x e + a e\right)} B b^{2} c^{3} g 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)} B a b c^{2} d g e \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{{\left(b x e + a e\right)} B a^{2} c d^{2} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + A b^{3} c^{2} f e^{2} - 2 \, A a b^{2} c d f e^{2} + A a^{2} b d^{2} f e^{2} - A a b^{2} c^{2} g e^{2} + 2 \, A a^{2} b c d g e^{2} - A a^{3} d^{2} g e^{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)}}{b^{2} d f^{3} e - b^{2} c f^{2} g e - 2 \, a b d f^{2} g e + 2 \, a b c f g^{2} e + a^{2} d f g^{2} e - a^{2} c g^{3} e - \frac{{\left(b x e + a e\right)} b d^{2} f^{3}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} b c d f^{2} g}{d x + c} + \frac{{\left(b x e + a e\right)} a d^{2} f^{2} g}{d x + c} - \frac{{\left(b x e + a e\right)} b c^{2} f g^{2}}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} a c d f g^{2}}{d x + c} + \frac{{\left(b x e + a e\right)} a c^{2} g^{3}}{d x + c}}"," ",0,"(B*b^3*c^2*f*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - 2*B*a*b^2*c*d*f*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) + B*a^2*b*d^2*f*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - B*a*b^2*c^2*g*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) + 2*B*a^2*b*c*d*g*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - B*a^3*d^2*g*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - (b*x*e + a*e)*B*b^2*c^2*d*f*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)*B*a*b*c*d^2*f*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - (b*x*e + a*e)*B*a^2*d^3*f*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + (b*x*e + a*e)*B*b^2*c^3*g*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*B*a*b*c^2*d*g*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + (b*x*e + a*e)*B*a^2*c*d^2*g*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + (b*x*e + a*e)*B*b^2*c^2*d*f*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*B*a*b*c*d^2*f*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + (b*x*e + a*e)*B*a^2*d^3*f*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - (b*x*e + a*e)*B*b^2*c^3*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)*B*a*b*c^2*d*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - (b*x*e + a*e)*B*a^2*c*d^2*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + A*b^3*c^2*f*e^2 - 2*A*a*b^2*c*d*f*e^2 + A*a^2*b*d^2*f*e^2 - A*a*b^2*c^2*g*e^2 + 2*A*a^2*b*c*d*g*e^2 - A*a^3*d^2*g*e^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*d*f^3*e - b^2*c*f^2*g*e - 2*a*b*d*f^2*g*e + 2*a*b*c*f*g^2*e + a^2*d*f*g^2*e - a^2*c*g^3*e - (b*x*e + a*e)*b*d^2*f^3/(d*x + c) + 2*(b*x*e + a*e)*b*c*d*f^2*g/(d*x + c) + (b*x*e + a*e)*a*d^2*f^2*g/(d*x + c) - (b*x*e + a*e)*b*c^2*f*g^2/(d*x + c) - 2*(b*x*e + a*e)*a*c*d*f*g^2/(d*x + c) + (b*x*e + a*e)*a*c^2*g^3/(d*x + c))","B",0
237,1,7600,0,2.088147," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(g*x+f)^3,x, algorithm=""giac"")","\frac{{\left(2 \, B b^{5} c^{2} d f^{3} e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - 4 \, B a b^{4} c d^{2} f^{3} e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) + 2 \, B a^{2} b^{3} d^{3} f^{3} e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - B b^{5} c^{3} f^{2} g e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - 3 \, B a b^{4} c^{2} d f^{2} g e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) + 9 \, B a^{2} b^{3} c d^{2} f^{2} g e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - 5 \, B a^{3} b^{2} d^{3} f^{2} g e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) + 2 \, B a b^{4} c^{3} f g^{2} e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - 6 \, B a^{3} b^{2} c d^{2} f g^{2} e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) + 4 \, B a^{4} b d^{3} f g^{2} e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - B a^{2} b^{3} c^{3} g^{3} e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) + B a^{3} b^{2} c^{2} d g^{3} e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) + B a^{4} b c d^{2} g^{3} e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - B a^{5} d^{3} g^{3} e^{3} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right) - \frac{4 \, {\left(b x e + a e\right)} B b^{4} c^{2} d^{2} f^{3} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{8 \, {\left(b x e + a e\right)} B a b^{3} c d^{3} f^{3} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B a^{2} b^{2} d^{4} f^{3} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B b^{4} c^{3} d f^{2} g e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} B a b^{3} c^{2} d^{2} f^{2} g e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} B a^{2} b^{2} c d^{3} f^{2} g e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} B a^{3} b d^{4} f^{2} g e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} B b^{4} c^{4} f g^{2} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B a b^{3} c^{3} d f g^{2} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{12 \, {\left(b x e + a e\right)} B a^{2} b^{2} c^{2} d^{2} f g^{2} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B a^{3} b c d^{3} f g^{2} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} B a^{4} d^{4} f g^{2} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} B a b^{3} c^{4} g^{3} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} B a^{2} b^{2} c^{3} d g^{3} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} B a^{3} b c^{2} d^{2} g^{3} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} B a^{4} c d^{3} g^{3} e^{2} \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{d x + c} + \frac{2 \, {\left(b x e + a e\right)}^{2} B b^{3} c^{2} d^{3} f^{3} e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{2} B a b^{2} c d^{4} f^{3} e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{2} B a^{2} b d^{5} f^{3} e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{5 \, {\left(b x e + a e\right)}^{2} B b^{3} c^{3} d^{2} f^{2} g e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{9 \, {\left(b x e + a e\right)}^{2} B a b^{2} c^{2} d^{3} f^{2} g e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{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} f^{2} g e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} B a^{3} d^{5} f^{2} g e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x e + a e\right)}^{2} B b^{3} c^{4} d f g^{2} e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{6 \, {\left(b x e + a e\right)}^{2} B a b^{2} c^{3} d^{2} f g^{2} e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)}^{2} B a^{3} c d^{4} f g^{2} e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} B b^{3} c^{5} g^{3} e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x e + a e\right)}^{2} B a b^{2} c^{4} d g^{3} e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x e + a e\right)}^{2} B a^{2} b c^{3} d^{2} g^{3} e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{{\left(b x e + a e\right)}^{2} B a^{3} c^{2} d^{3} g^{3} e \log\left(-b f e + a g e + \frac{{\left(b x e + a e\right)} d f}{d x + c} - \frac{{\left(b x e + a e\right)} c g}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, {\left(b x e + a e\right)} B b^{4} c^{2} d^{2} f^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B a b^{3} c d^{3} f^{3} 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^{2} b^{2} d^{4} f^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} B b^{4} c^{3} d f^{2} g 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} f^{2} g 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} f^{2} g 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 b^{4} c^{4} f g^{2} 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^{2} d^{2} f g^{2} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{4 \, {\left(b x e + a e\right)} B a^{3} b c d^{3} f g^{2} 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 b^{3} c^{4} g^{3} e^{2} \log\left(\frac{b x e + a e}{d x + c}\right)}{d x + c} + \frac{4 \, {\left(b x e + a e\right)} B a^{2} b^{2} c^{3} d g^{3} 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 c^{2} d^{2} g^{3} 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)}^{2} B b^{3} c^{2} d^{3} f^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{4 \, {\left(b x e + a e\right)}^{2} B a b^{2} c d^{4} f^{3} e \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 a^{2} b d^{5} f^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + \frac{5 \, {\left(b x e + a e\right)}^{2} B b^{3} c^{3} d^{2} f^{2} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{9 \, {\left(b x e + a e\right)}^{2} B a b^{2} c^{2} d^{3} f^{2} g 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} f^{2} g 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} f^{2} g e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{2} B b^{3} c^{4} d f g^{2} e \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 b^{2} c^{3} d^{2} f g^{2} e \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 a^{3} c d^{4} f g^{2} 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 b^{3} c^{5} g^{3} 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 b^{2} c^{4} d g^{3} 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^{2} b c^{3} d^{2} g^{3} 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} c^{2} d^{3} g^{3} e \log\left(\frac{b x e + a e}{d x + c}\right)}{{\left(d x + c\right)}^{2}} + 2 \, A b^{5} c^{2} d f^{3} e^{3} - 4 \, A a b^{4} c d^{2} f^{3} e^{3} + 2 \, A a^{2} b^{3} d^{3} f^{3} e^{3} - A b^{5} c^{3} f^{2} g e^{3} + B b^{5} c^{3} f^{2} g e^{3} - 3 \, A a b^{4} c^{2} d f^{2} g e^{3} - 3 \, B a b^{4} c^{2} d f^{2} g e^{3} + 9 \, A a^{2} b^{3} c d^{2} f^{2} g e^{3} + 3 \, B a^{2} b^{3} c d^{2} f^{2} g e^{3} - 5 \, A a^{3} b^{2} d^{3} f^{2} g e^{3} - B a^{3} b^{2} d^{3} f^{2} g e^{3} + 2 \, A a b^{4} c^{3} f g^{2} e^{3} - 2 \, B a b^{4} c^{3} f g^{2} e^{3} + 6 \, B a^{2} b^{3} c^{2} d f g^{2} e^{3} - 6 \, A a^{3} b^{2} c d^{2} f g^{2} e^{3} - 6 \, B a^{3} b^{2} c d^{2} f g^{2} e^{3} + 4 \, A a^{4} b d^{3} f g^{2} e^{3} + 2 \, B a^{4} b d^{3} f g^{2} e^{3} - A a^{2} b^{3} c^{3} g^{3} e^{3} + B a^{2} b^{3} c^{3} g^{3} e^{3} + A a^{3} b^{2} c^{2} d g^{3} e^{3} - 3 \, B a^{3} b^{2} c^{2} d g^{3} e^{3} + A a^{4} b c d^{2} g^{3} e^{3} + 3 \, B a^{4} b c d^{2} g^{3} e^{3} - A a^{5} d^{3} g^{3} e^{3} - B a^{5} d^{3} g^{3} e^{3} - \frac{2 \, {\left(b x e + a e\right)} A b^{4} c^{2} d^{2} f^{3} e^{2}}{d x + c} + \frac{4 \, {\left(b x e + a e\right)} A a b^{3} c d^{3} f^{3} e^{2}}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} A a^{2} b^{2} d^{4} f^{3} e^{2}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} A b^{4} c^{3} d f^{2} g e^{2}}{d x + c} - \frac{{\left(b x e + a e\right)} B b^{4} c^{3} d f^{2} g e^{2}}{d x + c} + \frac{3 \, {\left(b x e + a e\right)} B a b^{3} c^{2} d^{2} f^{2} g e^{2}}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} A a^{2} b^{2} c d^{3} f^{2} g e^{2}}{d x + c} - \frac{3 \, {\left(b x e + a e\right)} B a^{2} b^{2} c d^{3} f^{2} g e^{2}}{d x + c} + \frac{4 \, {\left(b x e + a e\right)} A a^{3} b d^{4} f^{2} g e^{2}}{d x + c} + \frac{{\left(b x e + a e\right)} B a^{3} b d^{4} f^{2} g e^{2}}{d x + c} + \frac{{\left(b x e + a e\right)} B b^{4} c^{4} f g^{2} e^{2}}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} A a b^{3} c^{3} d f g^{2} e^{2}}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} B a b^{3} c^{3} d f g^{2} e^{2}}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} A a^{2} b^{2} c^{2} d^{2} f g^{2} e^{2}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} B a^{3} b c d^{3} f g^{2} e^{2}}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} A a^{4} d^{4} f g^{2} e^{2}}{d x + c} - \frac{{\left(b x e + a e\right)} B a^{4} d^{4} f g^{2} e^{2}}{d x + c} - \frac{{\left(b x e + a e\right)} B a b^{3} c^{4} g^{3} e^{2}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} A a^{2} b^{2} c^{3} d g^{3} e^{2}}{d x + c} + \frac{3 \, {\left(b x e + a e\right)} B a^{2} b^{2} c^{3} d g^{3} e^{2}}{d x + c} - \frac{4 \, {\left(b x e + a e\right)} A a^{3} b c^{2} d^{2} g^{3} e^{2}}{d x + c} - \frac{3 \, {\left(b x e + a e\right)} B a^{3} b c^{2} d^{2} g^{3} e^{2}}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} A a^{4} c d^{3} g^{3} e^{2}}{d x + c} + \frac{{\left(b x e + a e\right)} B a^{4} c d^{3} g^{3} 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^{2} f^{6} e^{2} - 2 \, b^{4} c d f^{5} g e^{2} - 4 \, a b^{3} d^{2} f^{5} g e^{2} + b^{4} c^{2} f^{4} g^{2} e^{2} + 8 \, a b^{3} c d f^{4} g^{2} e^{2} + 6 \, a^{2} b^{2} d^{2} f^{4} g^{2} e^{2} - 4 \, a b^{3} c^{2} f^{3} g^{3} e^{2} - 12 \, a^{2} b^{2} c d f^{3} g^{3} e^{2} - 4 \, a^{3} b d^{2} f^{3} g^{3} e^{2} + 6 \, a^{2} b^{2} c^{2} f^{2} g^{4} e^{2} + 8 \, a^{3} b c d f^{2} g^{4} e^{2} + a^{4} d^{2} f^{2} g^{4} e^{2} - 4 \, a^{3} b c^{2} f g^{5} e^{2} - 2 \, a^{4} c d f g^{5} e^{2} + a^{4} c^{2} g^{6} e^{2} - \frac{2 \, {\left(b x e + a e\right)} b^{3} d^{3} f^{6} e}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} b^{3} c d^{2} f^{5} g e}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} a b^{2} d^{3} f^{5} g e}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} b^{3} c^{2} d f^{4} g^{2} e}{d x + c} - \frac{18 \, {\left(b x e + a e\right)} a b^{2} c d^{2} f^{4} g^{2} e}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} a^{2} b d^{3} f^{4} g^{2} e}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} b^{3} c^{3} f^{3} g^{3} e}{d x + c} + \frac{18 \, {\left(b x e + a e\right)} a b^{2} c^{2} d f^{3} g^{3} e}{d x + c} + \frac{18 \, {\left(b x e + a e\right)} a^{2} b c d^{2} f^{3} g^{3} e}{d x + c} + \frac{2 \, {\left(b x e + a e\right)} a^{3} d^{3} f^{3} g^{3} e}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} a b^{2} c^{3} f^{2} g^{4} e}{d x + c} - \frac{18 \, {\left(b x e + a e\right)} a^{2} b c^{2} d f^{2} g^{4} e}{d x + c} - \frac{6 \, {\left(b x e + a e\right)} a^{3} c d^{2} f^{2} g^{4} e}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} a^{2} b c^{3} f g^{5} e}{d x + c} + \frac{6 \, {\left(b x e + a e\right)} a^{3} c^{2} d f g^{5} e}{d x + c} - \frac{2 \, {\left(b x e + a e\right)} a^{3} c^{3} g^{6} e}{d x + c} + \frac{{\left(b x e + a e\right)}^{2} b^{2} d^{4} f^{6}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{2} b^{2} c d^{3} f^{5} g}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x e + a e\right)}^{2} a b d^{4} f^{5} g}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} b^{2} c^{2} d^{2} f^{4} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{8 \, {\left(b x e + a e\right)}^{2} a b c d^{3} f^{4} g^{2}}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x e + a e\right)}^{2} a^{2} d^{4} f^{4} g^{2}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{2} b^{2} c^{3} d f^{3} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{12 \, {\left(b x e + a e\right)}^{2} a b c^{2} d^{2} f^{3} g^{3}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{2} a^{2} c d^{3} f^{3} g^{3}}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x e + a e\right)}^{2} b^{2} c^{4} f^{2} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{8 \, {\left(b x e + a e\right)}^{2} a b c^{3} d f^{2} g^{4}}{{\left(d x + c\right)}^{2}} + \frac{6 \, {\left(b x e + a e\right)}^{2} a^{2} c^{2} d^{2} f^{2} g^{4}}{{\left(d x + c\right)}^{2}} - \frac{2 \, {\left(b x e + a e\right)}^{2} a b c^{4} f g^{5}}{{\left(d x + c\right)}^{2}} - \frac{4 \, {\left(b x e + a e\right)}^{2} a^{2} c^{3} d f g^{5}}{{\left(d x + c\right)}^{2}} + \frac{{\left(b x e + a e\right)}^{2} a^{2} c^{4} g^{6}}{{\left(d x + c\right)}^{2}}\right)}}"," ",0,"1/2*(2*B*b^5*c^2*d*f^3*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - 4*B*a*b^4*c*d^2*f^3*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) + 2*B*a^2*b^3*d^3*f^3*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - B*b^5*c^3*f^2*g*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - 3*B*a*b^4*c^2*d*f^2*g*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) + 9*B*a^2*b^3*c*d^2*f^2*g*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - 5*B*a^3*b^2*d^3*f^2*g*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) + 2*B*a*b^4*c^3*f*g^2*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - 6*B*a^3*b^2*c*d^2*f*g^2*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) + 4*B*a^4*b*d^3*f*g^2*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - B*a^2*b^3*c^3*g^3*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) + B*a^3*b^2*c^2*d*g^3*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) + B*a^4*b*c*d^2*g^3*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - B*a^5*d^3*g^3*e^3*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c)) - 4*(b*x*e + a*e)*B*b^4*c^2*d^2*f^3*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + 8*(b*x*e + a*e)*B*a*b^3*c*d^3*f^3*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - 4*(b*x*e + a*e)*B*a^2*b^2*d^4*f^3*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + 6*(b*x*e + a*e)*B*b^4*c^3*d*f^2*g*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - 6*(b*x*e + a*e)*B*a*b^3*c^2*d^2*f^2*g*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - 6*(b*x*e + a*e)*B*a^2*b^2*c*d^3*f^2*g*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + 6*(b*x*e + a*e)*B*a^3*b*d^4*f^2*g*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*B*b^4*c^4*f*g^2*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - 4*(b*x*e + a*e)*B*a*b^3*c^3*d*f*g^2*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + 12*(b*x*e + a*e)*B*a^2*b^2*c^2*d^2*f*g^2*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - 4*(b*x*e + a*e)*B*a^3*b*c*d^3*f*g^2*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*B*a^4*d^4*f*g^2*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)*B*a*b^3*c^4*g^3*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*B*a^2*b^2*c^3*d*g^3*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*B*a^3*b*c^2*d^2*g^3*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)*B*a^4*c*d^3*g^3*e^2*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)^2*B*b^3*c^2*d^3*f^3*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 - 4*(b*x*e + a*e)^2*B*a*b^2*c*d^4*f^3*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 + 2*(b*x*e + a*e)^2*B*a^2*b*d^5*f^3*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 - 5*(b*x*e + a*e)^2*B*b^3*c^3*d^2*f^2*g*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 + 9*(b*x*e + a*e)^2*B*a*b^2*c^2*d^3*f^2*g*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 - 3*(b*x*e + a*e)^2*B*a^2*b*c*d^4*f^2*g*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^2*B*a^3*d^5*f^2*g*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 + 4*(b*x*e + a*e)^2*B*b^3*c^4*d*f*g^2*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 - 6*(b*x*e + a*e)^2*B*a*b^2*c^3*d^2*f*g^2*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 + 2*(b*x*e + a*e)^2*B*a^3*c*d^4*f*g^2*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^2*B*b^3*c^5*g^3*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 + (b*x*e + a*e)^2*B*a*b^2*c^4*d*g^3*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 + (b*x*e + a*e)^2*B*a^2*b*c^3*d^2*g^3*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^2*B*a^3*c^2*d^3*g^3*e*log(-b*f*e + a*g*e + (b*x*e + a*e)*d*f/(d*x + c) - (b*x*e + a*e)*c*g/(d*x + c))/(d*x + c)^2 + 2*(b*x*e + a*e)*B*b^4*c^2*d^2*f^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 4*(b*x*e + a*e)*B*a*b^3*c*d^3*f^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)*B*a^2*b^2*d^4*f^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 4*(b*x*e + a*e)*B*b^4*c^3*d*f^2*g*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*f^2*g*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*f^2*g*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 2*(b*x*e + a*e)*B*b^4*c^4*f*g^2*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^2*d^2*f*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 4*(b*x*e + a*e)*B*a^3*b*c*d^3*f*g^2*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*B*a*b^3*c^4*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) + 4*(b*x*e + a*e)*B*a^2*b^2*c^3*d*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)*B*a^3*b*c^2*d^2*g^3*e^2*log((b*x*e + a*e)/(d*x + c))/(d*x + c) - 2*(b*x*e + a*e)^2*B*b^3*c^2*d^3*f^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 4*(b*x*e + a*e)^2*B*a*b^2*c*d^4*f^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 2*(b*x*e + a*e)^2*B*a^2*b*d^5*f^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 5*(b*x*e + a*e)^2*B*b^3*c^3*d^2*f^2*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 9*(b*x*e + a*e)^2*B*a*b^2*c^2*d^3*f^2*g*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*f^2*g*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*f^2*g*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 4*(b*x*e + a*e)^2*B*b^3*c^4*d*f*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 6*(b*x*e + a*e)^2*B*a*b^2*c^3*d^2*f*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - 2*(b*x*e + a*e)^2*B*a^3*c*d^4*f*g^2*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + (b*x*e + a*e)^2*B*b^3*c^5*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^2*B*a*b^2*c^4*d*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 - (b*x*e + a*e)^2*B*a^2*b*c^3*d^2*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + (b*x*e + a*e)^2*B*a^3*c^2*d^3*g^3*e*log((b*x*e + a*e)/(d*x + c))/(d*x + c)^2 + 2*A*b^5*c^2*d*f^3*e^3 - 4*A*a*b^4*c*d^2*f^3*e^3 + 2*A*a^2*b^3*d^3*f^3*e^3 - A*b^5*c^3*f^2*g*e^3 + B*b^5*c^3*f^2*g*e^3 - 3*A*a*b^4*c^2*d*f^2*g*e^3 - 3*B*a*b^4*c^2*d*f^2*g*e^3 + 9*A*a^2*b^3*c*d^2*f^2*g*e^3 + 3*B*a^2*b^3*c*d^2*f^2*g*e^3 - 5*A*a^3*b^2*d^3*f^2*g*e^3 - B*a^3*b^2*d^3*f^2*g*e^3 + 2*A*a*b^4*c^3*f*g^2*e^3 - 2*B*a*b^4*c^3*f*g^2*e^3 + 6*B*a^2*b^3*c^2*d*f*g^2*e^3 - 6*A*a^3*b^2*c*d^2*f*g^2*e^3 - 6*B*a^3*b^2*c*d^2*f*g^2*e^3 + 4*A*a^4*b*d^3*f*g^2*e^3 + 2*B*a^4*b*d^3*f*g^2*e^3 - A*a^2*b^3*c^3*g^3*e^3 + B*a^2*b^3*c^3*g^3*e^3 + A*a^3*b^2*c^2*d*g^3*e^3 - 3*B*a^3*b^2*c^2*d*g^3*e^3 + A*a^4*b*c*d^2*g^3*e^3 + 3*B*a^4*b*c*d^2*g^3*e^3 - A*a^5*d^3*g^3*e^3 - B*a^5*d^3*g^3*e^3 - 2*(b*x*e + a*e)*A*b^4*c^2*d^2*f^3*e^2/(d*x + c) + 4*(b*x*e + a*e)*A*a*b^3*c*d^3*f^3*e^2/(d*x + c) - 2*(b*x*e + a*e)*A*a^2*b^2*d^4*f^3*e^2/(d*x + c) + 2*(b*x*e + a*e)*A*b^4*c^3*d*f^2*g*e^2/(d*x + c) - (b*x*e + a*e)*B*b^4*c^3*d*f^2*g*e^2/(d*x + c) + 3*(b*x*e + a*e)*B*a*b^3*c^2*d^2*f^2*g*e^2/(d*x + c) - 6*(b*x*e + a*e)*A*a^2*b^2*c*d^3*f^2*g*e^2/(d*x + c) - 3*(b*x*e + a*e)*B*a^2*b^2*c*d^3*f^2*g*e^2/(d*x + c) + 4*(b*x*e + a*e)*A*a^3*b*d^4*f^2*g*e^2/(d*x + c) + (b*x*e + a*e)*B*a^3*b*d^4*f^2*g*e^2/(d*x + c) + (b*x*e + a*e)*B*b^4*c^4*f*g^2*e^2/(d*x + c) - 4*(b*x*e + a*e)*A*a*b^3*c^3*d*f*g^2*e^2/(d*x + c) - 2*(b*x*e + a*e)*B*a*b^3*c^3*d*f*g^2*e^2/(d*x + c) + 6*(b*x*e + a*e)*A*a^2*b^2*c^2*d^2*f*g^2*e^2/(d*x + c) + 2*(b*x*e + a*e)*B*a^3*b*c*d^3*f*g^2*e^2/(d*x + c) - 2*(b*x*e + a*e)*A*a^4*d^4*f*g^2*e^2/(d*x + c) - (b*x*e + a*e)*B*a^4*d^4*f*g^2*e^2/(d*x + c) - (b*x*e + a*e)*B*a*b^3*c^4*g^3*e^2/(d*x + c) + 2*(b*x*e + a*e)*A*a^2*b^2*c^3*d*g^3*e^2/(d*x + c) + 3*(b*x*e + a*e)*B*a^2*b^2*c^3*d*g^3*e^2/(d*x + c) - 4*(b*x*e + a*e)*A*a^3*b*c^2*d^2*g^3*e^2/(d*x + c) - 3*(b*x*e + a*e)*B*a^3*b*c^2*d^2*g^3*e^2/(d*x + c) + 2*(b*x*e + a*e)*A*a^4*c*d^3*g^3*e^2/(d*x + c) + (b*x*e + a*e)*B*a^4*c*d^3*g^3*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^2*f^6*e^2 - 2*b^4*c*d*f^5*g*e^2 - 4*a*b^3*d^2*f^5*g*e^2 + b^4*c^2*f^4*g^2*e^2 + 8*a*b^3*c*d*f^4*g^2*e^2 + 6*a^2*b^2*d^2*f^4*g^2*e^2 - 4*a*b^3*c^2*f^3*g^3*e^2 - 12*a^2*b^2*c*d*f^3*g^3*e^2 - 4*a^3*b*d^2*f^3*g^3*e^2 + 6*a^2*b^2*c^2*f^2*g^4*e^2 + 8*a^3*b*c*d*f^2*g^4*e^2 + a^4*d^2*f^2*g^4*e^2 - 4*a^3*b*c^2*f*g^5*e^2 - 2*a^4*c*d*f*g^5*e^2 + a^4*c^2*g^6*e^2 - 2*(b*x*e + a*e)*b^3*d^3*f^6*e/(d*x + c) + 6*(b*x*e + a*e)*b^3*c*d^2*f^5*g*e/(d*x + c) + 6*(b*x*e + a*e)*a*b^2*d^3*f^5*g*e/(d*x + c) - 6*(b*x*e + a*e)*b^3*c^2*d*f^4*g^2*e/(d*x + c) - 18*(b*x*e + a*e)*a*b^2*c*d^2*f^4*g^2*e/(d*x + c) - 6*(b*x*e + a*e)*a^2*b*d^3*f^4*g^2*e/(d*x + c) + 2*(b*x*e + a*e)*b^3*c^3*f^3*g^3*e/(d*x + c) + 18*(b*x*e + a*e)*a*b^2*c^2*d*f^3*g^3*e/(d*x + c) + 18*(b*x*e + a*e)*a^2*b*c*d^2*f^3*g^3*e/(d*x + c) + 2*(b*x*e + a*e)*a^3*d^3*f^3*g^3*e/(d*x + c) - 6*(b*x*e + a*e)*a*b^2*c^3*f^2*g^4*e/(d*x + c) - 18*(b*x*e + a*e)*a^2*b*c^2*d*f^2*g^4*e/(d*x + c) - 6*(b*x*e + a*e)*a^3*c*d^2*f^2*g^4*e/(d*x + c) + 6*(b*x*e + a*e)*a^2*b*c^3*f*g^5*e/(d*x + c) + 6*(b*x*e + a*e)*a^3*c^2*d*f*g^5*e/(d*x + c) - 2*(b*x*e + a*e)*a^3*c^3*g^6*e/(d*x + c) + (b*x*e + a*e)^2*b^2*d^4*f^6/(d*x + c)^2 - 4*(b*x*e + a*e)^2*b^2*c*d^3*f^5*g/(d*x + c)^2 - 2*(b*x*e + a*e)^2*a*b*d^4*f^5*g/(d*x + c)^2 + 6*(b*x*e + a*e)^2*b^2*c^2*d^2*f^4*g^2/(d*x + c)^2 + 8*(b*x*e + a*e)^2*a*b*c*d^3*f^4*g^2/(d*x + c)^2 + (b*x*e + a*e)^2*a^2*d^4*f^4*g^2/(d*x + c)^2 - 4*(b*x*e + a*e)^2*b^2*c^3*d*f^3*g^3/(d*x + c)^2 - 12*(b*x*e + a*e)^2*a*b*c^2*d^2*f^3*g^3/(d*x + c)^2 - 4*(b*x*e + a*e)^2*a^2*c*d^3*f^3*g^3/(d*x + c)^2 + (b*x*e + a*e)^2*b^2*c^4*f^2*g^4/(d*x + c)^2 + 8*(b*x*e + a*e)^2*a*b*c^3*d*f^2*g^4/(d*x + c)^2 + 6*(b*x*e + a*e)^2*a^2*c^2*d^2*f^2*g^4/(d*x + c)^2 - 2*(b*x*e + a*e)^2*a*b*c^4*f*g^5/(d*x + c)^2 - 4*(b*x*e + a*e)^2*a^2*c^3*d*f*g^5/(d*x + c)^2 + (b*x*e + a*e)^2*a^2*c^4*g^6/(d*x + c)^2)","B",0
238,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(g*x+f)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(g*x+f)^5,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,-1,0,0,0.000000," ","integrate((g*x+f)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
241,-1,0,0,0.000000," ","integrate((g*x+f)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
242,-1,0,0,0.000000," ","integrate((g*x+f)*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
243,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
244,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(g*x+f),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
245,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(g*x+f)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
246,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(g*x+f)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
247,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(g*x+f)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(g*x+f)^5,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,1,103,0,0.415358," ","integrate(log((1+x)/(-1+x))/x^2,x, algorithm=""giac"")","\frac{2 \, \log\left(\frac{\frac{\frac{x + 1}{x - 1} + 1}{\frac{x + 1}{x - 1} - 1} + 1}{\frac{\frac{x + 1}{x - 1} + 1}{\frac{x + 1}{x - 1} - 1} - 1}\right)}{\frac{x + 1}{x - 1} + 1} - 2 \, \log\left(\frac{{\left| x + 1 \right|}}{{\left| x - 1 \right|}}\right) + 2 \, \log\left({\left| \frac{x + 1}{x - 1} + 1 \right|}\right)"," ",0,"2*log((((x + 1)/(x - 1) + 1)/((x + 1)/(x - 1) - 1) + 1)/(((x + 1)/(x - 1) + 1)/((x + 1)/(x - 1) - 1) - 1))/((x + 1)/(x - 1) + 1) - 2*log(abs(x + 1)/abs(x - 1)) + 2*log(abs((x + 1)/(x - 1) + 1))","B",0
250,-1,0,0,0.000000," ","integrate((g*x+f)^2/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
251,-1,0,0,0.000000," ","integrate((g*x+f)/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
252,-1,0,0,0.000000," ","integrate(1/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
253,-1,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
254,-1,0,0,0.000000," ","integrate(1/(g*x+f)^2/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
255,-1,0,0,0.000000," ","integrate(1/(g*x+f)^3/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
256,-1,0,0,0.000000," ","integrate((g*x+f)^2/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
257,-1,0,0,0.000000," ","integrate((g*x+f)/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,0,0,0,0.000000," ","integrate(1/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(B \log\left(\frac{{\left(b x + a\right)} e}{d x + c}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((B*log((b*x + a)*e/(d*x + c)) + A)^(-2), x)","F",0
259,0,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(B \log\left(\frac{{\left(b x + a\right)} e}{d x + c}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(B*log((b*x + a)*e/(d*x + c)) + A)^2), x)","F",0
260,0,0,0,0.000000," ","integrate(1/(g*x+f)^2/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{2} {\left(B \log\left(\frac{{\left(b x + a\right)} e}{d x + c}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)^2*(B*log((b*x + a)*e/(d*x + c)) + A)^2), x)","F",0
261,0,0,0,0.000000," ","integrate(1/(g*x+f)^3/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{3} {\left(B \log\left(\frac{{\left(b x + a\right)} e}{d x + c}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)^3*(B*log((b*x + a)*e/(d*x + c)) + A)^2), x)","F",0
262,-1,0,0,0.000000," ","integrate((g*x+f)^4*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
263,1,447,0,167.451612," ","integrate((g*x+f)^3*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\frac{1}{4} \, {\left(A g^{3} + B g^{3}\right)} x^{4} + \frac{{\left(6 \, A b d f g^{2} + 6 \, B b d f g^{2} - B b c g^{3} + B a d g^{3}\right)} x^{3}}{6 \, b d} + \frac{1}{4} \, {\left(B g^{3} x^{4} + 4 \, B f g^{2} x^{3} + 6 \, B f^{2} g x^{2} + 4 \, B f^{3} x\right)} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + \frac{{\left(6 \, A b^{2} d^{2} f^{2} g + 6 \, B b^{2} d^{2} f^{2} g - 4 \, B b^{2} c d f g^{2} + 4 \, B a b d^{2} f g^{2} + B b^{2} c^{2} g^{3} - B a^{2} d^{2} g^{3}\right)} x^{2}}{4 \, b^{2} d^{2}} + \frac{{\left(4 \, B a b^{3} f^{3} - 6 \, B a^{2} b^{2} f^{2} g + 4 \, B a^{3} b f g^{2} - B a^{4} g^{3}\right)} \log\left(b x + a\right)}{2 \, b^{4}} - \frac{{\left(4 \, B c d^{3} f^{3} - 6 \, B c^{2} d^{2} f^{2} g + 4 \, B c^{3} d f g^{2} - B c^{4} g^{3}\right)} \log\left(-d x - c\right)}{2 \, d^{4}} + \frac{{\left(2 \, A b^{3} d^{3} f^{3} + 2 \, B b^{3} d^{3} f^{3} - 6 \, B b^{3} c d^{2} f^{2} g + 6 \, B a b^{2} d^{3} f^{2} g + 4 \, B b^{3} c^{2} d f g^{2} - 4 \, B a^{2} b d^{3} f g^{2} - B b^{3} c^{3} g^{3} + B a^{3} d^{3} g^{3}\right)} x}{2 \, b^{3} d^{3}}"," ",0,"1/4*(A*g^3 + B*g^3)*x^4 + 1/6*(6*A*b*d*f*g^2 + 6*B*b*d*f*g^2 - B*b*c*g^3 + B*a*d*g^3)*x^3/(b*d) + 1/4*(B*g^3*x^4 + 4*B*f*g^2*x^3 + 6*B*f^2*g*x^2 + 4*B*f^3*x)*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2)) + 1/4*(6*A*b^2*d^2*f^2*g + 6*B*b^2*d^2*f^2*g - 4*B*b^2*c*d*f*g^2 + 4*B*a*b*d^2*f*g^2 + B*b^2*c^2*g^3 - B*a^2*d^2*g^3)*x^2/(b^2*d^2) + 1/2*(4*B*a*b^3*f^3 - 6*B*a^2*b^2*f^2*g + 4*B*a^3*b*f*g^2 - B*a^4*g^3)*log(b*x + a)/b^4 - 1/2*(4*B*c*d^3*f^3 - 6*B*c^2*d^2*f^2*g + 4*B*c^3*d*f*g^2 - B*c^4*g^3)*log(-d*x - c)/d^4 + 1/2*(2*A*b^3*d^3*f^3 + 2*B*b^3*d^3*f^3 - 6*B*b^3*c*d^2*f^2*g + 6*B*a*b^2*d^3*f^2*g + 4*B*b^3*c^2*d*f*g^2 - 4*B*a^2*b*d^3*f*g^2 - B*b^3*c^3*g^3 + B*a^3*d^3*g^3)*x/(b^3*d^3)","B",0
264,1,279,0,12.579165," ","integrate((g*x+f)^2*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\frac{1}{3} \, {\left(A g^{2} + B g^{2}\right)} x^{3} + \frac{1}{3} \, {\left(B g^{2} x^{3} + 3 \, B f g x^{2} + 3 \, B f^{2} x\right)} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + \frac{{\left(3 \, A b d f g + 3 \, B b d f g - B b c g^{2} + B a d g^{2}\right)} x^{2}}{3 \, b d} + \frac{2 \, {\left(3 \, B a b^{2} f^{2} - 3 \, B a^{2} b f g + B a^{3} g^{2}\right)} \log\left(b x + a\right)}{3 \, b^{3}} - \frac{2 \, {\left(3 \, B c d^{2} f^{2} - 3 \, B c^{2} d f g + B c^{3} g^{2}\right)} \log\left(-d x - c\right)}{3 \, d^{3}} + \frac{{\left(3 \, A b^{2} d^{2} f^{2} + 3 \, B b^{2} d^{2} f^{2} - 6 \, B b^{2} c d f g + 6 \, B a b d^{2} f g + 2 \, B b^{2} c^{2} g^{2} - 2 \, B a^{2} d^{2} g^{2}\right)} x}{3 \, b^{2} d^{2}}"," ",0,"1/3*(A*g^2 + B*g^2)*x^3 + 1/3*(B*g^2*x^3 + 3*B*f*g*x^2 + 3*B*f^2*x)*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2)) + 1/3*(3*A*b*d*f*g + 3*B*b*d*f*g - B*b*c*g^2 + B*a*d*g^2)*x^2/(b*d) + 2/3*(3*B*a*b^2*f^2 - 3*B*a^2*b*f*g + B*a^3*g^2)*log(b*x + a)/b^3 - 2/3*(3*B*c*d^2*f^2 - 3*B*c^2*d*f*g + B*c^3*g^2)*log(-d*x - c)/d^3 + 1/3*(3*A*b^2*d^2*f^2 + 3*B*b^2*d^2*f^2 - 6*B*b^2*c*d*f*g + 6*B*a*b*d^2*f*g + 2*B*b^2*c^2*g^2 - 2*B*a^2*d^2*g^2)*x/(b^2*d^2)","A",0
265,1,145,0,1.105687," ","integrate((g*x+f)*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(A g + B g\right)} x^{2} + \frac{1}{2} \, {\left(B g x^{2} + 2 \, B f x\right)} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + \frac{{\left(A b d f + B b d f - B b c g + B a d g\right)} x}{b d} + \frac{{\left(2 \, B a b f - B a^{2} g\right)} \log\left(b x + a\right)}{b^{2}} - \frac{{\left(2 \, B c d f - B c^{2} g\right)} \log\left(-d x - c\right)}{d^{2}}"," ",0,"1/2*(A*g + B*g)*x^2 + 1/2*(B*g*x^2 + 2*B*f*x)*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2)) + (A*b*d*f + B*b*d*f - B*b*c*g + B*a*d*g)*x/(b*d) + (2*B*a*b*f - B*a^2*g)*log(b*x + a)/b^2 - (2*B*c*d*f - B*c^2*g)*log(-d*x - c)/d^2","A",0
266,1,83,0,0.258665," ","integrate(A+B*log(e*(b*x+a)^2/(d*x+c)^2),x, algorithm=""giac"")","{\left(2 \, {\left(b c - a d\right)} {\left(\frac{a \log\left({\left| b x + a \right|}\right)}{b^{2} c - a b d} - \frac{c \log\left({\left| d x + c \right|}\right)}{b c d - a d^{2}}\right)} + x \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right)\right)} B + A x"," ",0,"(2*(b*c - a*d)*(a*log(abs(b*x + a))/(b^2*c - a*b*d) - c*log(abs(d*x + c))/(b*c*d - a*d^2)) + x*log((b*x + a)^2*e/(d*x + c)^2))*B + A*x","A",0
267,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(g*x+f),x, algorithm=""giac"")","\int \frac{B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A}{g x + f}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)/(g*x + f), x)","F",0
268,-2,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(g*x+f)^2,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Undef/Unsigned Inf encountered in limitUndef/Unsigned Inf encountered in limitB*(-(g*x+f)^-1/g*ln((b*(-f+1/g/(g*x+f)^-1*g)/g+a)^2*exp(1)/(d*(-f+1/g/(g*x+f)^-1*g)/g+c)^2)-(-2*a*d*g^2+2*b*c*g^2)*(1/(2*a*c*g^4-2*a*g^3*d*f-2*c*g^3*f*b+2*g^2*d*f^2*b)*ln(abs((-(g*x+f)^-1/g)^2*a*c*g^4-(-(g*x+f)^-1/g)^2*a*g^3*d*f-(-(g*x+f)^-1/g)^2*c*g^3*f*b+(-(g*x+f)^-1/g)^2*g^2*d*f^2*b+(g*x+f)^-1/g*a*g^2*d+(g*x+f)^-1/g*c*g^2*b-2*(g*x+f)^-1/g*g*d*f*b+d*b))+(a*g*d+c*g*b-2*d*f*b)/(2*a*c*g^3-2*a*g^2*d*f-2*c*g^2*f*b+2*g*d*f^2*b)/abs(a*g^2*d-g^2*c*b)*ln(abs(-2*(g*x+f)^-1/g*a*c*g^4+2*(g*x+f)^-1/g*a*g^3*d*f+2*(g*x+f)^-1/g*c*g^3*f*b-2*(g*x+f)^-1/g*g^2*d*f^2*b-a*g^2*d-c*g^2*b+2*g*d*f*b-abs(a*g^2*d-g^2*c*b))/abs(-2*(g*x+f)^-1/g*a*c*g^4+2*(g*x+f)^-1/g*a*g^3*d*f+2*(g*x+f)^-1/g*c*g^3*f*b-2*(g*x+f)^-1/g*g^2*d*f^2*b-a*g^2*d-c*g^2*b+2*g*d*f*b+abs(a*g^2*d-g^2*c*b)))))-A*(g*x+f)^-1/g","F(-2)",0
269,1,495,0,0.770869," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(g*x+f)^3,x, algorithm=""giac"")","\frac{B b^{3} \log\left({\left| b x + a \right|}\right)}{b^{3} f^{2} g - 2 \, a b^{2} f g^{2} + a^{2} b g^{3}} - \frac{B d^{3} \log\left({\left| d x + c \right|}\right)}{d^{3} f^{2} g - 2 \, c d^{2} f g^{2} + c^{2} d g^{3}} + \frac{{\left(2 \, B b^{2} c d f - 2 \, B a b d^{2} f - B b^{2} c^{2} g + B a^{2} d^{2} g\right)} \log\left(g x + f\right)}{b^{2} d^{2} f^{4} - 2 \, b^{2} c d f^{3} g - 2 \, a b d^{2} f^{3} g + b^{2} c^{2} f^{2} g^{2} + 4 \, a b c d f^{2} g^{2} + a^{2} d^{2} f^{2} g^{2} - 2 \, a b c^{2} f g^{3} - 2 \, a^{2} c d f g^{3} + a^{2} c^{2} g^{4}} - \frac{B \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{2 \, {\left(g^{3} x^{2} + 2 \, f g^{2} x + f^{2} g\right)}} - \frac{2 \, B b c g^{2} x - 2 \, B a d g^{2} x + A b d f^{2} + B b d f^{2} - A b c f g + B b c f g - A a d f g - 3 \, B a d f g + A a c g^{2} + B a c g^{2}}{2 \, {\left(b d f^{2} g^{3} x^{2} - b c f g^{4} x^{2} - a d f g^{4} x^{2} + a c g^{5} x^{2} + 2 \, b d f^{3} g^{2} x - 2 \, b c f^{2} g^{3} x - 2 \, a d f^{2} g^{3} x + 2 \, a c f g^{4} x + b d f^{4} g - b c f^{3} g^{2} - a d f^{3} g^{2} + a c f^{2} g^{3}\right)}}"," ",0,"B*b^3*log(abs(b*x + a))/(b^3*f^2*g - 2*a*b^2*f*g^2 + a^2*b*g^3) - B*d^3*log(abs(d*x + c))/(d^3*f^2*g - 2*c*d^2*f*g^2 + c^2*d*g^3) + (2*B*b^2*c*d*f - 2*B*a*b*d^2*f - B*b^2*c^2*g + B*a^2*d^2*g)*log(g*x + f)/(b^2*d^2*f^4 - 2*b^2*c*d*f^3*g - 2*a*b*d^2*f^3*g + b^2*c^2*f^2*g^2 + 4*a*b*c*d*f^2*g^2 + a^2*d^2*f^2*g^2 - 2*a*b*c^2*f*g^3 - 2*a^2*c*d*f*g^3 + a^2*c^2*g^4) - 1/2*B*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2))/(g^3*x^2 + 2*f*g^2*x + f^2*g) - 1/2*(2*B*b*c*g^2*x - 2*B*a*d*g^2*x + A*b*d*f^2 + B*b*d*f^2 - A*b*c*f*g + B*b*c*f*g - A*a*d*f*g - 3*B*a*d*f*g + A*a*c*g^2 + B*a*c*g^2)/(b*d*f^2*g^3*x^2 - b*c*f*g^4*x^2 - a*d*f*g^4*x^2 + a*c*g^5*x^2 + 2*b*d*f^3*g^2*x - 2*b*c*f^2*g^3*x - 2*a*d*f^2*g^3*x + 2*a*c*f*g^4*x + b*d*f^4*g - b*c*f^3*g^2 - a*d*f^3*g^2 + a*c*f^2*g^3)","B",0
270,1,1391,0,3.668391," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(g*x+f)^4,x, algorithm=""giac"")","\frac{2 \, B b^{4} \log\left({\left| b x + a \right|}\right)}{3 \, {\left(b^{4} f^{3} g - 3 \, a b^{3} f^{2} g^{2} + 3 \, a^{2} b^{2} f g^{3} - a^{3} b g^{4}\right)}} - \frac{2 \, B d^{4} \log\left({\left| d x + c \right|}\right)}{3 \, {\left(d^{4} f^{3} g - 3 \, c d^{3} f^{2} g^{2} + 3 \, c^{2} d^{2} f g^{3} - c^{3} d g^{4}\right)}} + \frac{2 \, {\left(3 \, B b^{3} c d^{2} f^{2} - 3 \, B a b^{2} d^{3} f^{2} - 3 \, B b^{3} c^{2} d f g + 3 \, B a^{2} b d^{3} f g + B b^{3} c^{3} g^{2} - B a^{3} d^{3} g^{2}\right)} \log\left(g x + f\right)}{3 \, {\left(b^{3} d^{3} f^{6} - 3 \, b^{3} c d^{2} f^{5} g - 3 \, a b^{2} d^{3} f^{5} g + 3 \, b^{3} c^{2} d f^{4} g^{2} + 9 \, a b^{2} c d^{2} f^{4} g^{2} + 3 \, a^{2} b d^{3} f^{4} g^{2} - b^{3} c^{3} f^{3} g^{3} - 9 \, a b^{2} c^{2} d f^{3} g^{3} - 9 \, a^{2} b c d^{2} f^{3} g^{3} - a^{3} d^{3} f^{3} g^{3} + 3 \, a b^{2} c^{3} f^{2} g^{4} + 9 \, a^{2} b c^{2} d f^{2} g^{4} + 3 \, a^{3} c d^{2} f^{2} g^{4} - 3 \, a^{2} b c^{3} f g^{5} - 3 \, a^{3} c^{2} d f g^{5} + a^{3} c^{3} g^{6}\right)}} - \frac{B \log\left(\frac{b^{2} x^{2} + 2 \, a b x + a^{2}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{3 \, {\left(g^{4} x^{3} + 3 \, f g^{3} x^{2} + 3 \, f^{2} g^{2} x + f^{3} g\right)}} - \frac{4 \, B b^{2} c d f g^{3} x^{2} - 4 \, B a b d^{2} f g^{3} x^{2} - 2 \, B b^{2} c^{2} g^{4} x^{2} + 2 \, B a^{2} d^{2} g^{4} x^{2} + 9 \, B b^{2} c d f^{2} g^{2} x - 9 \, B a b d^{2} f^{2} g^{2} x - 5 \, B b^{2} c^{2} f g^{3} x + 5 \, B a^{2} d^{2} f g^{3} x + B a b c^{2} g^{4} x - B a^{2} c d g^{4} x + A b^{2} d^{2} f^{4} + B b^{2} d^{2} f^{4} - 2 \, A b^{2} c d f^{3} g + 3 \, B b^{2} c d f^{3} g - 2 \, A a b d^{2} f^{3} g - 7 \, B a b d^{2} f^{3} g + A b^{2} c^{2} f^{2} g^{2} - 2 \, B b^{2} c^{2} f^{2} g^{2} + 4 \, A a b c d f^{2} g^{2} + 4 \, B a b c d f^{2} g^{2} + A a^{2} d^{2} f^{2} g^{2} + 4 \, B a^{2} d^{2} f^{2} g^{2} - 2 \, A a b c^{2} f g^{3} - B a b c^{2} f g^{3} - 2 \, A a^{2} c d f g^{3} - 3 \, B a^{2} c d f g^{3} + A a^{2} c^{2} g^{4} + B a^{2} c^{2} g^{4}}{3 \, {\left(b^{2} d^{2} f^{4} g^{4} x^{3} - 2 \, b^{2} c d f^{3} g^{5} x^{3} - 2 \, a b d^{2} f^{3} g^{5} x^{3} + b^{2} c^{2} f^{2} g^{6} x^{3} + 4 \, a b c d f^{2} g^{6} x^{3} + a^{2} d^{2} f^{2} g^{6} x^{3} - 2 \, a b c^{2} f g^{7} x^{3} - 2 \, a^{2} c d f g^{7} x^{3} + a^{2} c^{2} g^{8} x^{3} + 3 \, b^{2} d^{2} f^{5} g^{3} x^{2} - 6 \, b^{2} c d f^{4} g^{4} x^{2} - 6 \, a b d^{2} f^{4} g^{4} x^{2} + 3 \, b^{2} c^{2} f^{3} g^{5} x^{2} + 12 \, a b c d f^{3} g^{5} x^{2} + 3 \, a^{2} d^{2} f^{3} g^{5} x^{2} - 6 \, a b c^{2} f^{2} g^{6} x^{2} - 6 \, a^{2} c d f^{2} g^{6} x^{2} + 3 \, a^{2} c^{2} f g^{7} x^{2} + 3 \, b^{2} d^{2} f^{6} g^{2} x - 6 \, b^{2} c d f^{5} g^{3} x - 6 \, a b d^{2} f^{5} g^{3} x + 3 \, b^{2} c^{2} f^{4} g^{4} x + 12 \, a b c d f^{4} g^{4} x + 3 \, a^{2} d^{2} f^{4} g^{4} x - 6 \, a b c^{2} f^{3} g^{5} x - 6 \, a^{2} c d f^{3} g^{5} x + 3 \, a^{2} c^{2} f^{2} g^{6} x + b^{2} d^{2} f^{7} g - 2 \, b^{2} c d f^{6} g^{2} - 2 \, a b d^{2} f^{6} g^{2} + b^{2} c^{2} f^{5} g^{3} + 4 \, a b c d f^{5} g^{3} + a^{2} d^{2} f^{5} g^{3} - 2 \, a b c^{2} f^{4} g^{4} - 2 \, a^{2} c d f^{4} g^{4} + a^{2} c^{2} f^{3} g^{5}\right)}}"," ",0,"2/3*B*b^4*log(abs(b*x + a))/(b^4*f^3*g - 3*a*b^3*f^2*g^2 + 3*a^2*b^2*f*g^3 - a^3*b*g^4) - 2/3*B*d^4*log(abs(d*x + c))/(d^4*f^3*g - 3*c*d^3*f^2*g^2 + 3*c^2*d^2*f*g^3 - c^3*d*g^4) + 2/3*(3*B*b^3*c*d^2*f^2 - 3*B*a*b^2*d^3*f^2 - 3*B*b^3*c^2*d*f*g + 3*B*a^2*b*d^3*f*g + B*b^3*c^3*g^2 - B*a^3*d^3*g^2)*log(g*x + f)/(b^3*d^3*f^6 - 3*b^3*c*d^2*f^5*g - 3*a*b^2*d^3*f^5*g + 3*b^3*c^2*d*f^4*g^2 + 9*a*b^2*c*d^2*f^4*g^2 + 3*a^2*b*d^3*f^4*g^2 - b^3*c^3*f^3*g^3 - 9*a*b^2*c^2*d*f^3*g^3 - 9*a^2*b*c*d^2*f^3*g^3 - a^3*d^3*f^3*g^3 + 3*a*b^2*c^3*f^2*g^4 + 9*a^2*b*c^2*d*f^2*g^4 + 3*a^3*c*d^2*f^2*g^4 - 3*a^2*b*c^3*f*g^5 - 3*a^3*c^2*d*f*g^5 + a^3*c^3*g^6) - 1/3*B*log((b^2*x^2 + 2*a*b*x + a^2)/(d^2*x^2 + 2*c*d*x + c^2))/(g^4*x^3 + 3*f*g^3*x^2 + 3*f^2*g^2*x + f^3*g) - 1/3*(4*B*b^2*c*d*f*g^3*x^2 - 4*B*a*b*d^2*f*g^3*x^2 - 2*B*b^2*c^2*g^4*x^2 + 2*B*a^2*d^2*g^4*x^2 + 9*B*b^2*c*d*f^2*g^2*x - 9*B*a*b*d^2*f^2*g^2*x - 5*B*b^2*c^2*f*g^3*x + 5*B*a^2*d^2*f*g^3*x + B*a*b*c^2*g^4*x - B*a^2*c*d*g^4*x + A*b^2*d^2*f^4 + B*b^2*d^2*f^4 - 2*A*b^2*c*d*f^3*g + 3*B*b^2*c*d*f^3*g - 2*A*a*b*d^2*f^3*g - 7*B*a*b*d^2*f^3*g + A*b^2*c^2*f^2*g^2 - 2*B*b^2*c^2*f^2*g^2 + 4*A*a*b*c*d*f^2*g^2 + 4*B*a*b*c*d*f^2*g^2 + A*a^2*d^2*f^2*g^2 + 4*B*a^2*d^2*f^2*g^2 - 2*A*a*b*c^2*f*g^3 - B*a*b*c^2*f*g^3 - 2*A*a^2*c*d*f*g^3 - 3*B*a^2*c*d*f*g^3 + A*a^2*c^2*g^4 + B*a^2*c^2*g^4)/(b^2*d^2*f^4*g^4*x^3 - 2*b^2*c*d*f^3*g^5*x^3 - 2*a*b*d^2*f^3*g^5*x^3 + b^2*c^2*f^2*g^6*x^3 + 4*a*b*c*d*f^2*g^6*x^3 + a^2*d^2*f^2*g^6*x^3 - 2*a*b*c^2*f*g^7*x^3 - 2*a^2*c*d*f*g^7*x^3 + a^2*c^2*g^8*x^3 + 3*b^2*d^2*f^5*g^3*x^2 - 6*b^2*c*d*f^4*g^4*x^2 - 6*a*b*d^2*f^4*g^4*x^2 + 3*b^2*c^2*f^3*g^5*x^2 + 12*a*b*c*d*f^3*g^5*x^2 + 3*a^2*d^2*f^3*g^5*x^2 - 6*a*b*c^2*f^2*g^6*x^2 - 6*a^2*c*d*f^2*g^6*x^2 + 3*a^2*c^2*f*g^7*x^2 + 3*b^2*d^2*f^6*g^2*x - 6*b^2*c*d*f^5*g^3*x - 6*a*b*d^2*f^5*g^3*x + 3*b^2*c^2*f^4*g^4*x + 12*a*b*c*d*f^4*g^4*x + 3*a^2*d^2*f^4*g^4*x - 6*a*b*c^2*f^3*g^5*x - 6*a^2*c*d*f^3*g^5*x + 3*a^2*c^2*f^2*g^6*x + b^2*d^2*f^7*g - 2*b^2*c*d*f^6*g^2 - 2*a*b*d^2*f^6*g^2 + b^2*c^2*f^5*g^3 + 4*a*b*c*d*f^5*g^3 + a^2*d^2*f^5*g^3 - 2*a*b*c^2*f^4*g^4 - 2*a^2*c*d*f^4*g^4 + a^2*c^2*f^3*g^5)","B",0
271,-2,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(g*x+f)^5,x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Undef/Unsigned Inf encountered in limitUndef/Unsigned Inf encountered in limit(-1/4*A*g^3-1/4*B*g^3)*(-(g*x+f)^-1/g)^4+(-B*a*d*g^3+B*b*c*g^3)/(6*a*c*g^2-6*a*d*f*g-6*b*c*f*g+6*b*d*f^2)*(-(g*x+f)^-1/g)^3+(-B*a^2*d^2*g^3+2*B*a*b*d^2*f*g^2+B*b^2*c^2*g^3-2*B*b^2*c*d*f*g^2)/(4*a^2*c^2*g^4-8*a^2*c*d*f*g^3+4*a^2*d^2*f^2*g^2-8*a*b*c^2*f*g^3+16*a*b*c*d*f^2*g^2-8*a*b*d^2*f^3*g+4*b^2*c^2*f^2*g^2-8*b^2*c*d*f^3*g+4*b^2*d^2*f^4)*(-(g*x+f)^-1/g)^2-(-B*a^3*d^3*g^3+3*B*a^2*b*d^3*f*g^2-3*B*a*b^2*d^3*f^2*g+B*b^3*c^3*g^3-3*B*b^3*c^2*d*f*g^2+3*B*b^3*c*d^2*f^2*g)/(2*a^3*c^3*g^6-6*a^3*c^2*d*f*g^5+6*a^3*c*d^2*f^2*g^4-2*a^3*d^3*f^3*g^3-6*a^2*b*c^3*f*g^5+18*a^2*b*c^2*d*f^2*g^4-18*a^2*b*c*d^2*f^3*g^3+6*a^2*b*d^3*f^4*g^2+6*a*b^2*c^3*f^2*g^4-18*a*b^2*c^2*d*f^3*g^3+18*a*b^2*c*d^2*f^4*g^2-6*a*b^2*d^3*f^5*g-2*b^3*c^3*f^3*g^3+6*b^3*c^2*d*f^4*g^2-6*b^3*c*d^2*f^5*g+2*b^3*d^3*f^6)*(g*x+f)^-1/g-1/4*B*g^3*(-(g*x+f)^-1/g)^4*ln((a^2*g^4*(-(g*x+f)^-1/g)^2-2*a*b*f*g^3*(-(g*x+f)^-1/g)^2+2*a*b*g^2*(g*x+f)^-1/g+b^2*f^2*g^2*(-(g*x+f)^-1/g)^2-2*b^2*f*g*(g*x+f)^-1/g+b^2)/(c^2*g^4*(-(g*x+f)^-1/g)^2-2*c*d*f*g^3*(-(g*x+f)^-1/g)^2+2*c*d*g^2*(g*x+f)^-1/g+d^2*f^2*g^2*(-(g*x+f)^-1/g)^2-2*d^2*f*g*(g*x+f)^-1/g+d^2))+g/g*((-B*a^4*d^4*g^3+4*B*a^3*d^4*g^2*b*f-6*B*a^2*d^4*g*b^2*f^2+4*B*a*d^4*b^3*f^3-4*B*d^3*b^4*c*f^3+6*B*d^2*g*b^4*c^2*f^2-4*B*d*g^2*b^4*c^3*f+B*g^3*b^4*c^4)/(4*a^4*d^4*g^4*f^4-16*a^4*d^3*g^5*c*f^3+24*a^4*d^2*g^6*c^2*f^2-16*a^4*d*g^7*c^3*f+4*a^4*g^8*c^4-16*a^3*d^4*g^3*b*f^5+64*a^3*d^3*g^4*b*c*f^4-96*a^3*d^2*g^5*b*c^2*f^3+64*a^3*d*g^6*b*c^3*f^2-16*a^3*g^7*b*c^4*f+24*a^2*d^4*g^2*b^2*f^6-96*a^2*d^3*g^3*b^2*c*f^5+144*a^2*d^2*g^4*b^2*c^2*f^4-96*a^2*d*g^5*b^2*c^3*f^3+24*a^2*g^6*b^2*c^4*f^2-16*a*d^4*g*b^3*f^7+64*a*d^3*g^2*b^3*c*f^6-96*a*d^2*g^3*b^3*c^2*f^5+64*a*d*g^4*b^3*c^3*f^4-16*a*g^5*b^3*c^4*f^3+4*d^4*b^4*f^8-16*d^3*g*b^4*c*f^7+24*d^2*g^2*b^4*c^2*f^6-16*d*g^3*b^4*c^3*f^5+4*g^4*b^4*c^4*f^4)*ln(abs(-(-(g*x+f)^-1/g)^2*a*d*g^3*f+(-(g*x+f)^-1/g)^2*a*g^4*c+(-(g*x+f)^-1/g)^2*d*g^2*b*f^2-(-(g*x+f)^-1/g)^2*g^3*b*c*f+(g*x+f)^-1/g*a*d*g^2-2*(g*x+f)^-1/g*d*g*b*f+(g*x+f)^-1/g*g^2*b*c+d*b))+(-B*a^5*d^5*g^5+4*B*a^4*d^5*g^4*b*f+B*a^4*d^4*g^5*b*c-6*B*a^3*d^5*g^3*b^2*f^2-4*B*a^3*d^4*g^4*b^2*c*f+4*B*a^2*d^5*g^2*b^3*f^3+6*B*a^2*d^4*g^3*b^3*c*f^2-2*B*a*d^5*g*b^4*f^4-6*B*a*d^3*g^3*b^4*c^2*f^2+4*B*a*d^2*g^4*b^4*c^3*f-B*a*d*g^5*b^4*c^4+2*B*d^4*g*b^5*c*f^4-4*B*d^3*g^2*b^5*c^2*f^3+6*B*d^2*g^3*b^5*c^3*f^2-4*B*d*g^4*b^5*c^4*f+B*g^5*b^5*c^5)/(4*a^4*d^4*g^4*f^4-16*a^4*d^3*g^5*c*f^3+24*a^4*d^2*g^6*c^2*f^2-16*a^4*d*g^7*c^3*f+4*a^4*g^8*c^4-16*a^3*d^4*g^3*b*f^5+64*a^3*d^3*g^4*b*c*f^4-96*a^3*d^2*g^5*b*c^2*f^3+64*a^3*d*g^6*b*c^3*f^2-16*a^3*g^7*b*c^4*f+24*a^2*d^4*g^2*b^2*f^6-96*a^2*d^3*g^3*b^2*c*f^5+144*a^2*d^2*g^4*b^2*c^2*f^4-96*a^2*d*g^5*b^2*c^3*f^3+24*a^2*g^6*b^2*c^4*f^2-16*a*d^4*g*b^3*f^7+64*a*d^3*g^2*b^3*c*f^6-96*a*d^2*g^3*b^3*c^2*f^5+64*a*d*g^4*b^3*c^3*f^4-16*a*g^5*b^3*c^4*f^3+4*d^4*b^4*f^8-16*d^3*g*b^4*c*f^7+24*d^2*g^2*b^4*c^2*f^6-16*d*g^3*b^4*c^3*f^5+4*g^4*b^4*c^4*f^4)/abs(a*d*g^2-g^2*b*c)*ln(abs(2*(g*x+f)^-1/g*a*d*g^3*f-2*(g*x+f)^-1/g*a*g^4*c-2*(g*x+f)^-1/g*d*g^2*b*f^2+2*(g*x+f)^-1/g*g^3*b*c*f-a*d*g^2+2*d*g*b*f-g^2*b*c-abs(a*d*g^2-g^2*b*c))/abs(2*(g*x+f)^-1/g*a*d*g^3*f-2*(g*x+f)^-1/g*a*g^4*c-2*(g*x+f)^-1/g*d*g^2*b*f^2+2*(g*x+f)^-1/g*g^3*b*c*f-a*d*g^2+2*d*g*b*f-g^2*b*c+abs(a*d*g^2-g^2*b*c))))","F(-2)",0
272,0,0,0,0.000000," ","integrate((g*x+f)^3*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int {\left(g x + f\right)}^{3} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((g*x + f)^3*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
273,0,0,0,0.000000," ","integrate((g*x+f)^2*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int {\left(g x + f\right)}^{2} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((g*x + f)^2*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
274,0,0,0,0.000000," ","integrate((g*x+f)*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int {\left(g x + f\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((g*x + f)*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
275,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
276,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(g*x+f),x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}{g x + f}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2/(g*x + f), x)","F",0
277,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2/(g*x + f)^2, x)","F",0
278,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(g*x+f)^3,x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2/(g*x + f)^3, x)","F",0
279,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(g*x+f)^4,x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}{{\left(g x + f\right)}^{4}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2/(g*x + f)^4, x)","F",0
280,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(g*x+f)^5,x, algorithm=""giac"")","\int \frac{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}{{\left(g x + f\right)}^{5}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2/(g*x + f)^5, x)","F",0
281,0,0,0,0.000000," ","integrate((g*x+f)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{2}}{B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A}\,{d x}"," ",0,"integrate((g*x + f)^2/(B*log((b*x + a)^2*e/(d*x + c)^2) + A), x)","F",0
282,0,0,0,0.000000," ","integrate((g*x+f)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{g x + f}{B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A}\,{d x}"," ",0,"integrate((g*x + f)/(B*log((b*x + a)^2*e/(d*x + c)^2) + A), x)","F",0
283,0,0,0,0.000000," ","integrate(1/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{1}{B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A}\,{d x}"," ",0,"integrate(1/(B*log((b*x + a)^2*e/(d*x + c)^2) + A), x)","F",0
284,0,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)), x)","F",0
285,0,0,0,0.000000," ","integrate(1/(g*x+f)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{2} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)^2*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)), x)","F",0
286,0,0,0,0.000000," ","integrate(1/(g*x+f)^3/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{3} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}}\,{d x}"," ",0,"integrate(1/((g*x + f)^3*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)), x)","F",0
287,0,0,0,0.000000," ","integrate((g*x+f)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{2}}{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((g*x + f)^2/(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
288,0,0,0,0.000000," ","integrate((g*x+f)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{g x + f}{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((g*x + f)/(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2, x)","F",0
289,0,0,0,0.000000," ","integrate(1/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^2*e/(d*x + c)^2) + A)^(-2), x)","F",0
290,0,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2), x)","F",0
291,0,0,0,0.000000," ","integrate(1/(g*x+f)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{2} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)^2*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2), x)","F",0
292,0,0,0,0.000000," ","integrate(1/(g*x+f)^3/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x + f\right)}^{3} {\left(B \log\left(\frac{{\left(b x + a\right)}^{2} e}{{\left(d x + c\right)}^{2}}\right) + A\right)}^{2}}\,{d x}"," ",0,"integrate(1/((g*x + f)^3*(B*log((b*x + a)^2*e/(d*x + c)^2) + A)^2), x)","F",0
293,-1,0,0,0.000000," ","integrate((h*x+g)^4*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
294,-1,0,0,0.000000," ","integrate((h*x+g)^3*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
295,1,298,0,97.809851," ","integrate((h*x+g)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\frac{1}{3} \, {\left(A h^{2} + B h^{2}\right)} x^{3} + \frac{1}{3} \, {\left(B h^{2} n x^{3} + 3 \, B g h n x^{2} + 3 \, B g^{2} n x\right)} \log\left(b x + a\right) - \frac{1}{3} \, {\left(B h^{2} n x^{3} + 3 \, B g h n x^{2} + 3 \, B g^{2} n x\right)} \log\left(d x + c\right) - \frac{{\left(B b c h^{2} n - B a d h^{2} n - 6 \, A b d g h - 6 \, B b d g h\right)} x^{2}}{6 \, b d} + \frac{{\left(3 \, B a b^{2} g^{2} n - 3 \, B a^{2} b g h n + B a^{3} h^{2} n\right)} \log\left(b x + a\right)}{3 \, b^{3}} - \frac{{\left(3 \, B c d^{2} g^{2} n - 3 \, B c^{2} d g h n + B c^{3} h^{2} n\right)} \log\left(-d x - c\right)}{3 \, d^{3}} - \frac{{\left(3 \, B b^{2} c d g h n - 3 \, B a b d^{2} g h n - B b^{2} c^{2} h^{2} n + B a^{2} d^{2} h^{2} n - 3 \, A b^{2} d^{2} g^{2} - 3 \, B b^{2} d^{2} g^{2}\right)} x}{3 \, b^{2} d^{2}}"," ",0,"1/3*(A*h^2 + B*h^2)*x^3 + 1/3*(B*h^2*n*x^3 + 3*B*g*h*n*x^2 + 3*B*g^2*n*x)*log(b*x + a) - 1/3*(B*h^2*n*x^3 + 3*B*g*h*n*x^2 + 3*B*g^2*n*x)*log(d*x + c) - 1/6*(B*b*c*h^2*n - B*a*d*h^2*n - 6*A*b*d*g*h - 6*B*b*d*g*h)*x^2/(b*d) + 1/3*(3*B*a*b^2*g^2*n - 3*B*a^2*b*g*h*n + B*a^3*h^2*n)*log(b*x + a)/b^3 - 1/3*(3*B*c*d^2*g^2*n - 3*B*c^2*d*g*h*n + B*c^3*h^2*n)*log(-d*x - c)/d^3 - 1/3*(3*B*b^2*c*d*g*h*n - 3*B*a*b*d^2*g*h*n - B*b^2*c^2*h^2*n + B*a^2*d^2*h^2*n - 3*A*b^2*d^2*g^2 - 3*B*b^2*d^2*g^2)*x/(b^2*d^2)","B",0
296,1,149,0,7.099940," ","integrate((h*x+g)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""giac"")","\frac{1}{2} \, {\left(A h + B h\right)} x^{2} + \frac{1}{2} \, {\left(B h n x^{2} + 2 \, B g n x\right)} \log\left(b x + a\right) - \frac{1}{2} \, {\left(B h n x^{2} + 2 \, B g n x\right)} \log\left(d x + c\right) - \frac{{\left(B b c h n - B a d h n - 2 \, A b d g - 2 \, B b d g\right)} x}{2 \, b d} + \frac{{\left(2 \, B a b g n - B a^{2} h n\right)} \log\left(b x + a\right)}{2 \, b^{2}} - \frac{{\left(2 \, B c d g n - B c^{2} h n\right)} \log\left(-d x - c\right)}{2 \, d^{2}}"," ",0,"1/2*(A*h + B*h)*x^2 + 1/2*(B*h*n*x^2 + 2*B*g*n*x)*log(b*x + a) - 1/2*(B*h*n*x^2 + 2*B*g*n*x)*log(d*x + c) - 1/2*(B*b*c*h*n - B*a*d*h*n - 2*A*b*d*g - 2*B*b*d*g)*x/(b*d) + 1/2*(2*B*a*b*g*n - B*a^2*h*n)*log(b*x + a)/b^2 - 1/2*(2*B*c*d*g*n - B*c^2*h*n)*log(-d*x - c)/d^2","A",0
297,1,55,0,0.204822," ","integrate(A+B*log(e*(b*x+a)^n/((d*x+c)^n)),x, algorithm=""giac"")","{\left(n x \log\left(b x + a\right) - n x \log\left(d x + c\right) + \frac{a n \log\left(b x + a\right)}{b} - \frac{c n \log\left(-d x - c\right)}{d} + x\right)} B + A x"," ",0,"(n*x*log(b*x + a) - n*x*log(d*x + c) + a*n*log(b*x + a)/b - c*n*log(-d*x - c)/d + x)*B + A*x","A",0
298,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g),x, algorithm=""giac"")","\int \frac{B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A}{h x + g}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)/(h*x + g), x)","F",0
299,1,166,0,0.375851," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^2,x, algorithm=""giac"")","\frac{B b^{2} n \log\left({\left| -b x - a \right|}\right)}{b^{2} g h - a b h^{2}} - \frac{B d^{2} n \log\left({\left| d x + c \right|}\right)}{d^{2} g h - c d h^{2}} - \frac{B n \log\left(b x + a\right)}{h^{2} x + g h} + \frac{B n \log\left(d x + c\right)}{h^{2} x + g h} + \frac{{\left(B b c n - B a d n\right)} \log\left(h x + g\right)}{b d g^{2} - b c g h - a d g h + a c h^{2}} - \frac{A + B}{h^{2} x + g h}"," ",0,"B*b^2*n*log(abs(-b*x - a))/(b^2*g*h - a*b*h^2) - B*d^2*n*log(abs(d*x + c))/(d^2*g*h - c*d*h^2) - B*n*log(b*x + a)/(h^2*x + g*h) + B*n*log(d*x + c)/(h^2*x + g*h) + (B*b*c*n - B*a*d*n)*log(h*x + g)/(b*d*g^2 - b*c*g*h - a*d*g*h + a*c*h^2) - (A + B)/(h^2*x + g*h)","A",0
300,1,523,0,0.802770," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^3,x, algorithm=""giac"")","\frac{B b^{3} n \log\left({\left| b x + a \right|}\right)}{2 \, {\left(b^{3} g^{2} h - 2 \, a b^{2} g h^{2} + a^{2} b h^{3}\right)}} - \frac{B d^{3} n \log\left({\left| d x + c \right|}\right)}{2 \, {\left(d^{3} g^{2} h - 2 \, c d^{2} g h^{2} + c^{2} d h^{3}\right)}} - \frac{B n \log\left(b x + a\right)}{2 \, {\left(h^{3} x^{2} + 2 \, g h^{2} x + g^{2} h\right)}} + \frac{B n \log\left(d x + c\right)}{2 \, {\left(h^{3} x^{2} + 2 \, g h^{2} x + g^{2} h\right)}} + \frac{{\left(2 \, B b^{2} c d g n - 2 \, B a b d^{2} g n - B b^{2} c^{2} h n + B a^{2} d^{2} h n\right)} \log\left(h x + g\right)}{2 \, {\left(b^{2} d^{2} g^{4} - 2 \, b^{2} c d g^{3} h - 2 \, a b d^{2} g^{3} h + b^{2} c^{2} g^{2} h^{2} + 4 \, a b c d g^{2} h^{2} + a^{2} d^{2} g^{2} h^{2} - 2 \, a b c^{2} g h^{3} - 2 \, a^{2} c d g h^{3} + a^{2} c^{2} h^{4}\right)}} - \frac{B b c h^{2} n x - B a d h^{2} n x + B b c g h n - B a d g h n + A b d g^{2} + B b d g^{2} - A b c g h - B b c g h - A a d g h - B a d g h + A a c h^{2} + B a c h^{2}}{2 \, {\left(b d g^{2} h^{3} x^{2} - b c g h^{4} x^{2} - a d g h^{4} x^{2} + a c h^{5} x^{2} + 2 \, b d g^{3} h^{2} x - 2 \, b c g^{2} h^{3} x - 2 \, a d g^{2} h^{3} x + 2 \, a c g h^{4} x + b d g^{4} h - b c g^{3} h^{2} - a d g^{3} h^{2} + a c g^{2} h^{3}\right)}}"," ",0,"1/2*B*b^3*n*log(abs(b*x + a))/(b^3*g^2*h - 2*a*b^2*g*h^2 + a^2*b*h^3) - 1/2*B*d^3*n*log(abs(d*x + c))/(d^3*g^2*h - 2*c*d^2*g*h^2 + c^2*d*h^3) - 1/2*B*n*log(b*x + a)/(h^3*x^2 + 2*g*h^2*x + g^2*h) + 1/2*B*n*log(d*x + c)/(h^3*x^2 + 2*g*h^2*x + g^2*h) + 1/2*(2*B*b^2*c*d*g*n - 2*B*a*b*d^2*g*n - B*b^2*c^2*h*n + B*a^2*d^2*h*n)*log(h*x + g)/(b^2*d^2*g^4 - 2*b^2*c*d*g^3*h - 2*a*b*d^2*g^3*h + b^2*c^2*g^2*h^2 + 4*a*b*c*d*g^2*h^2 + a^2*d^2*g^2*h^2 - 2*a*b*c^2*g*h^3 - 2*a^2*c*d*g*h^3 + a^2*c^2*h^4) - 1/2*(B*b*c*h^2*n*x - B*a*d*h^2*n*x + B*b*c*g*h*n - B*a*d*g*h*n + A*b*d*g^2 + B*b*d*g^2 - A*b*c*g*h - B*b*c*g*h - A*a*d*g*h - B*a*d*g*h + A*a*c*h^2 + B*a*c*h^2)/(b*d*g^2*h^3*x^2 - b*c*g*h^4*x^2 - a*d*g*h^4*x^2 + a*c*h^5*x^2 + 2*b*d*g^3*h^2*x - 2*b*c*g^2*h^3*x - 2*a*d*g^2*h^3*x + 2*a*c*g*h^4*x + b*d*g^4*h - b*c*g^3*h^2 - a*d*g^3*h^2 + a*c*g^2*h^3)","B",0
301,1,1512,0,3.175146," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^4,x, algorithm=""giac"")","\frac{B b^{4} n \log\left({\left| b x + a \right|}\right)}{3 \, {\left(b^{4} g^{3} h - 3 \, a b^{3} g^{2} h^{2} + 3 \, a^{2} b^{2} g h^{3} - a^{3} b h^{4}\right)}} - \frac{B d^{4} n \log\left({\left| d x + c \right|}\right)}{3 \, {\left(d^{4} g^{3} h - 3 \, c d^{3} g^{2} h^{2} + 3 \, c^{2} d^{2} g h^{3} - c^{3} d h^{4}\right)}} - \frac{B n \log\left(b x + a\right)}{3 \, {\left(h^{4} x^{3} + 3 \, g h^{3} x^{2} + 3 \, g^{2} h^{2} x + g^{3} h\right)}} + \frac{B n \log\left(d x + c\right)}{3 \, {\left(h^{4} x^{3} + 3 \, g h^{3} x^{2} + 3 \, g^{2} h^{2} x + g^{3} h\right)}} + \frac{{\left(3 \, B b^{3} c d^{2} g^{2} n - 3 \, B a b^{2} d^{3} g^{2} n - 3 \, B b^{3} c^{2} d g h n + 3 \, B a^{2} b d^{3} g h n + B b^{3} c^{3} h^{2} n - B a^{3} d^{3} h^{2} n\right)} \log\left(h x + g\right)}{3 \, {\left(b^{3} d^{3} g^{6} - 3 \, b^{3} c d^{2} g^{5} h - 3 \, a b^{2} d^{3} g^{5} h + 3 \, b^{3} c^{2} d g^{4} h^{2} + 9 \, a b^{2} c d^{2} g^{4} h^{2} + 3 \, a^{2} b d^{3} g^{4} h^{2} - b^{3} c^{3} g^{3} h^{3} - 9 \, a b^{2} c^{2} d g^{3} h^{3} - 9 \, a^{2} b c d^{2} g^{3} h^{3} - a^{3} d^{3} g^{3} h^{3} + 3 \, a b^{2} c^{3} g^{2} h^{4} + 9 \, a^{2} b c^{2} d g^{2} h^{4} + 3 \, a^{3} c d^{2} g^{2} h^{4} - 3 \, a^{2} b c^{3} g h^{5} - 3 \, a^{3} c^{2} d g h^{5} + a^{3} c^{3} h^{6}\right)}} - \frac{4 \, B b^{2} c d g h^{3} n x^{2} - 4 \, B a b d^{2} g h^{3} n x^{2} - 2 \, B b^{2} c^{2} h^{4} n x^{2} + 2 \, B a^{2} d^{2} h^{4} n x^{2} + 9 \, B b^{2} c d g^{2} h^{2} n x - 9 \, B a b d^{2} g^{2} h^{2} n x - 5 \, B b^{2} c^{2} g h^{3} n x + 5 \, B a^{2} d^{2} g h^{3} n x + B a b c^{2} h^{4} n x - B a^{2} c d h^{4} n x + 5 \, B b^{2} c d g^{3} h n - 5 \, B a b d^{2} g^{3} h n - 3 \, B b^{2} c^{2} g^{2} h^{2} n + 3 \, B a^{2} d^{2} g^{2} h^{2} n + B a b c^{2} g h^{3} n - B a^{2} c d g h^{3} n + 2 \, A b^{2} d^{2} g^{4} + 2 \, B b^{2} d^{2} g^{4} - 4 \, A b^{2} c d g^{3} h - 4 \, B b^{2} c d g^{3} h - 4 \, A a b d^{2} g^{3} h - 4 \, B a b d^{2} g^{3} h + 2 \, A b^{2} c^{2} g^{2} h^{2} + 2 \, B b^{2} c^{2} g^{2} h^{2} + 8 \, A a b c d g^{2} h^{2} + 8 \, B a b c d g^{2} h^{2} + 2 \, A a^{2} d^{2} g^{2} h^{2} + 2 \, B a^{2} d^{2} g^{2} h^{2} - 4 \, A a b c^{2} g h^{3} - 4 \, B a b c^{2} g h^{3} - 4 \, A a^{2} c d g h^{3} - 4 \, B a^{2} c d g h^{3} + 2 \, A a^{2} c^{2} h^{4} + 2 \, B a^{2} c^{2} h^{4}}{6 \, {\left(b^{2} d^{2} g^{4} h^{4} x^{3} - 2 \, b^{2} c d g^{3} h^{5} x^{3} - 2 \, a b d^{2} g^{3} h^{5} x^{3} + b^{2} c^{2} g^{2} h^{6} x^{3} + 4 \, a b c d g^{2} h^{6} x^{3} + a^{2} d^{2} g^{2} h^{6} x^{3} - 2 \, a b c^{2} g h^{7} x^{3} - 2 \, a^{2} c d g h^{7} x^{3} + a^{2} c^{2} h^{8} x^{3} + 3 \, b^{2} d^{2} g^{5} h^{3} x^{2} - 6 \, b^{2} c d g^{4} h^{4} x^{2} - 6 \, a b d^{2} g^{4} h^{4} x^{2} + 3 \, b^{2} c^{2} g^{3} h^{5} x^{2} + 12 \, a b c d g^{3} h^{5} x^{2} + 3 \, a^{2} d^{2} g^{3} h^{5} x^{2} - 6 \, a b c^{2} g^{2} h^{6} x^{2} - 6 \, a^{2} c d g^{2} h^{6} x^{2} + 3 \, a^{2} c^{2} g h^{7} x^{2} + 3 \, b^{2} d^{2} g^{6} h^{2} x - 6 \, b^{2} c d g^{5} h^{3} x - 6 \, a b d^{2} g^{5} h^{3} x + 3 \, b^{2} c^{2} g^{4} h^{4} x + 12 \, a b c d g^{4} h^{4} x + 3 \, a^{2} d^{2} g^{4} h^{4} x - 6 \, a b c^{2} g^{3} h^{5} x - 6 \, a^{2} c d g^{3} h^{5} x + 3 \, a^{2} c^{2} g^{2} h^{6} x + b^{2} d^{2} g^{7} h - 2 \, b^{2} c d g^{6} h^{2} - 2 \, a b d^{2} g^{6} h^{2} + b^{2} c^{2} g^{5} h^{3} + 4 \, a b c d g^{5} h^{3} + a^{2} d^{2} g^{5} h^{3} - 2 \, a b c^{2} g^{4} h^{4} - 2 \, a^{2} c d g^{4} h^{4} + a^{2} c^{2} g^{3} h^{5}\right)}}"," ",0,"1/3*B*b^4*n*log(abs(b*x + a))/(b^4*g^3*h - 3*a*b^3*g^2*h^2 + 3*a^2*b^2*g*h^3 - a^3*b*h^4) - 1/3*B*d^4*n*log(abs(d*x + c))/(d^4*g^3*h - 3*c*d^3*g^2*h^2 + 3*c^2*d^2*g*h^3 - c^3*d*h^4) - 1/3*B*n*log(b*x + a)/(h^4*x^3 + 3*g*h^3*x^2 + 3*g^2*h^2*x + g^3*h) + 1/3*B*n*log(d*x + c)/(h^4*x^3 + 3*g*h^3*x^2 + 3*g^2*h^2*x + g^3*h) + 1/3*(3*B*b^3*c*d^2*g^2*n - 3*B*a*b^2*d^3*g^2*n - 3*B*b^3*c^2*d*g*h*n + 3*B*a^2*b*d^3*g*h*n + B*b^3*c^3*h^2*n - B*a^3*d^3*h^2*n)*log(h*x + g)/(b^3*d^3*g^6 - 3*b^3*c*d^2*g^5*h - 3*a*b^2*d^3*g^5*h + 3*b^3*c^2*d*g^4*h^2 + 9*a*b^2*c*d^2*g^4*h^2 + 3*a^2*b*d^3*g^4*h^2 - b^3*c^3*g^3*h^3 - 9*a*b^2*c^2*d*g^3*h^3 - 9*a^2*b*c*d^2*g^3*h^3 - a^3*d^3*g^3*h^3 + 3*a*b^2*c^3*g^2*h^4 + 9*a^2*b*c^2*d*g^2*h^4 + 3*a^3*c*d^2*g^2*h^4 - 3*a^2*b*c^3*g*h^5 - 3*a^3*c^2*d*g*h^5 + a^3*c^3*h^6) - 1/6*(4*B*b^2*c*d*g*h^3*n*x^2 - 4*B*a*b*d^2*g*h^3*n*x^2 - 2*B*b^2*c^2*h^4*n*x^2 + 2*B*a^2*d^2*h^4*n*x^2 + 9*B*b^2*c*d*g^2*h^2*n*x - 9*B*a*b*d^2*g^2*h^2*n*x - 5*B*b^2*c^2*g*h^3*n*x + 5*B*a^2*d^2*g*h^3*n*x + B*a*b*c^2*h^4*n*x - B*a^2*c*d*h^4*n*x + 5*B*b^2*c*d*g^3*h*n - 5*B*a*b*d^2*g^3*h*n - 3*B*b^2*c^2*g^2*h^2*n + 3*B*a^2*d^2*g^2*h^2*n + B*a*b*c^2*g*h^3*n - B*a^2*c*d*g*h^3*n + 2*A*b^2*d^2*g^4 + 2*B*b^2*d^2*g^4 - 4*A*b^2*c*d*g^3*h - 4*B*b^2*c*d*g^3*h - 4*A*a*b*d^2*g^3*h - 4*B*a*b*d^2*g^3*h + 2*A*b^2*c^2*g^2*h^2 + 2*B*b^2*c^2*g^2*h^2 + 8*A*a*b*c*d*g^2*h^2 + 8*B*a*b*c*d*g^2*h^2 + 2*A*a^2*d^2*g^2*h^2 + 2*B*a^2*d^2*g^2*h^2 - 4*A*a*b*c^2*g*h^3 - 4*B*a*b*c^2*g*h^3 - 4*A*a^2*c*d*g*h^3 - 4*B*a^2*c*d*g*h^3 + 2*A*a^2*c^2*h^4 + 2*B*a^2*c^2*h^4)/(b^2*d^2*g^4*h^4*x^3 - 2*b^2*c*d*g^3*h^5*x^3 - 2*a*b*d^2*g^3*h^5*x^3 + b^2*c^2*g^2*h^6*x^3 + 4*a*b*c*d*g^2*h^6*x^3 + a^2*d^2*g^2*h^6*x^3 - 2*a*b*c^2*g*h^7*x^3 - 2*a^2*c*d*g*h^7*x^3 + a^2*c^2*h^8*x^3 + 3*b^2*d^2*g^5*h^3*x^2 - 6*b^2*c*d*g^4*h^4*x^2 - 6*a*b*d^2*g^4*h^4*x^2 + 3*b^2*c^2*g^3*h^5*x^2 + 12*a*b*c*d*g^3*h^5*x^2 + 3*a^2*d^2*g^3*h^5*x^2 - 6*a*b*c^2*g^2*h^6*x^2 - 6*a^2*c*d*g^2*h^6*x^2 + 3*a^2*c^2*g*h^7*x^2 + 3*b^2*d^2*g^6*h^2*x - 6*b^2*c*d*g^5*h^3*x - 6*a*b*d^2*g^5*h^3*x + 3*b^2*c^2*g^4*h^4*x + 12*a*b*c*d*g^4*h^4*x + 3*a^2*d^2*g^4*h^4*x - 6*a*b*c^2*g^3*h^5*x - 6*a^2*c*d*g^3*h^5*x + 3*a^2*c^2*g^2*h^6*x + b^2*d^2*g^7*h - 2*b^2*c*d*g^6*h^2 - 2*a*b*d^2*g^6*h^2 + b^2*c^2*g^5*h^3 + 4*a*b*c*d*g^5*h^3 + a^2*d^2*g^5*h^3 - 2*a*b*c^2*g^4*h^4 - 2*a^2*c*d*g^4*h^4 + a^2*c^2*g^3*h^5)","B",0
302,1,3293,0,15.659083," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^5,x, algorithm=""giac"")","\frac{B b^{5} n \log\left({\left| b x + a \right|}\right)}{4 \, {\left(b^{5} g^{4} h - 4 \, a b^{4} g^{3} h^{2} + 6 \, a^{2} b^{3} g^{2} h^{3} - 4 \, a^{3} b^{2} g h^{4} + a^{4} b h^{5}\right)}} - \frac{B d^{5} n \log\left({\left| d x + c \right|}\right)}{4 \, {\left(d^{5} g^{4} h - 4 \, c d^{4} g^{3} h^{2} + 6 \, c^{2} d^{3} g^{2} h^{3} - 4 \, c^{3} d^{2} g h^{4} + c^{4} d h^{5}\right)}} - \frac{B n \log\left(b x + a\right)}{4 \, {\left(h^{5} x^{4} + 4 \, g h^{4} x^{3} + 6 \, g^{2} h^{3} x^{2} + 4 \, g^{3} h^{2} x + g^{4} h\right)}} + \frac{B n \log\left(d x + c\right)}{4 \, {\left(h^{5} x^{4} + 4 \, g h^{4} x^{3} + 6 \, g^{2} h^{3} x^{2} + 4 \, g^{3} h^{2} x + g^{4} h\right)}} + \frac{{\left(4 \, B b^{4} c d^{3} g^{3} n - 4 \, B a b^{3} d^{4} g^{3} n - 6 \, B b^{4} c^{2} d^{2} g^{2} h n + 6 \, B a^{2} b^{2} d^{4} g^{2} h n + 4 \, B b^{4} c^{3} d g h^{2} n - 4 \, B a^{3} b d^{4} g h^{2} n - B b^{4} c^{4} h^{3} n + B a^{4} d^{4} h^{3} n\right)} \log\left(h x + g\right)}{4 \, {\left(b^{4} d^{4} g^{8} - 4 \, b^{4} c d^{3} g^{7} h - 4 \, a b^{3} d^{4} g^{7} h + 6 \, b^{4} c^{2} d^{2} g^{6} h^{2} + 16 \, a b^{3} c d^{3} g^{6} h^{2} + 6 \, a^{2} b^{2} d^{4} g^{6} h^{2} - 4 \, b^{4} c^{3} d g^{5} h^{3} - 24 \, a b^{3} c^{2} d^{2} g^{5} h^{3} - 24 \, a^{2} b^{2} c d^{3} g^{5} h^{3} - 4 \, a^{3} b d^{4} g^{5} h^{3} + b^{4} c^{4} g^{4} h^{4} + 16 \, a b^{3} c^{3} d g^{4} h^{4} + 36 \, a^{2} b^{2} c^{2} d^{2} g^{4} h^{4} + 16 \, a^{3} b c d^{3} g^{4} h^{4} + a^{4} d^{4} g^{4} h^{4} - 4 \, a b^{3} c^{4} g^{3} h^{5} - 24 \, a^{2} b^{2} c^{3} d g^{3} h^{5} - 24 \, a^{3} b c^{2} d^{2} g^{3} h^{5} - 4 \, a^{4} c d^{3} g^{3} h^{5} + 6 \, a^{2} b^{2} c^{4} g^{2} h^{6} + 16 \, a^{3} b c^{3} d g^{2} h^{6} + 6 \, a^{4} c^{2} d^{2} g^{2} h^{6} - 4 \, a^{3} b c^{4} g h^{7} - 4 \, a^{4} c^{3} d g h^{7} + a^{4} c^{4} h^{8}\right)}} - \frac{18 \, B b^{3} c d^{2} g^{2} h^{4} n x^{3} - 18 \, B a b^{2} d^{3} g^{2} h^{4} n x^{3} - 18 \, B b^{3} c^{2} d g h^{5} n x^{3} + 18 \, B a^{2} b d^{3} g h^{5} n x^{3} + 6 \, B b^{3} c^{3} h^{6} n x^{3} - 6 \, B a^{3} d^{3} h^{6} n x^{3} + 60 \, B b^{3} c d^{2} g^{3} h^{3} n x^{2} - 60 \, B a b^{2} d^{3} g^{3} h^{3} n x^{2} - 63 \, B b^{3} c^{2} d g^{2} h^{4} n x^{2} + 63 \, B a^{2} b d^{3} g^{2} h^{4} n x^{2} + 21 \, B b^{3} c^{3} g h^{5} n x^{2} + 9 \, B a b^{2} c^{2} d g h^{5} n x^{2} - 9 \, B a^{2} b c d^{2} g h^{5} n x^{2} - 21 \, B a^{3} d^{3} g h^{5} n x^{2} - 3 \, B a b^{2} c^{3} h^{6} n x^{2} + 3 \, B a^{3} c d^{2} h^{6} n x^{2} + 68 \, B b^{3} c d^{2} g^{4} h^{2} n x - 68 \, B a b^{2} d^{3} g^{4} h^{2} n x - 76 \, B b^{3} c^{2} d g^{3} h^{3} n x + 76 \, B a^{2} b d^{3} g^{3} h^{3} n x + 26 \, B b^{3} c^{3} g^{2} h^{4} n x + 24 \, B a b^{2} c^{2} d g^{2} h^{4} n x - 24 \, B a^{2} b c d^{2} g^{2} h^{4} n x - 26 \, B a^{3} d^{3} g^{2} h^{4} n x - 10 \, B a b^{2} c^{3} g h^{5} n x + 10 \, B a^{3} c d^{2} g h^{5} n x + 2 \, B a^{2} b c^{3} h^{6} n x - 2 \, B a^{3} c^{2} d h^{6} n x + 26 \, B b^{3} c d^{2} g^{5} h n - 26 \, B a b^{2} d^{3} g^{5} h n - 31 \, B b^{3} c^{2} d g^{4} h^{2} n + 31 \, B a^{2} b d^{3} g^{4} h^{2} n + 11 \, B b^{3} c^{3} g^{3} h^{3} n + 15 \, B a b^{2} c^{2} d g^{3} h^{3} n - 15 \, B a^{2} b c d^{2} g^{3} h^{3} n - 11 \, B a^{3} d^{3} g^{3} h^{3} n - 7 \, B a b^{2} c^{3} g^{2} h^{4} n + 7 \, B a^{3} c d^{2} g^{2} h^{4} n + 2 \, B a^{2} b c^{3} g h^{5} n - 2 \, B a^{3} c^{2} d g h^{5} n + 6 \, A b^{3} d^{3} g^{6} + 6 \, B b^{3} d^{3} g^{6} - 18 \, A b^{3} c d^{2} g^{5} h - 18 \, B b^{3} c d^{2} g^{5} h - 18 \, A a b^{2} d^{3} g^{5} h - 18 \, B a b^{2} d^{3} g^{5} h + 18 \, A b^{3} c^{2} d g^{4} h^{2} + 18 \, B b^{3} c^{2} d g^{4} h^{2} + 54 \, A a b^{2} c d^{2} g^{4} h^{2} + 54 \, B a b^{2} c d^{2} g^{4} h^{2} + 18 \, A a^{2} b d^{3} g^{4} h^{2} + 18 \, B a^{2} b d^{3} g^{4} h^{2} - 6 \, A b^{3} c^{3} g^{3} h^{3} - 6 \, B b^{3} c^{3} g^{3} h^{3} - 54 \, A a b^{2} c^{2} d g^{3} h^{3} - 54 \, B a b^{2} c^{2} d g^{3} h^{3} - 54 \, A a^{2} b c d^{2} g^{3} h^{3} - 54 \, B a^{2} b c d^{2} g^{3} h^{3} - 6 \, A a^{3} d^{3} g^{3} h^{3} - 6 \, B a^{3} d^{3} g^{3} h^{3} + 18 \, A a b^{2} c^{3} g^{2} h^{4} + 18 \, B a b^{2} c^{3} g^{2} h^{4} + 54 \, A a^{2} b c^{2} d g^{2} h^{4} + 54 \, B a^{2} b c^{2} d g^{2} h^{4} + 18 \, A a^{3} c d^{2} g^{2} h^{4} + 18 \, B a^{3} c d^{2} g^{2} h^{4} - 18 \, A a^{2} b c^{3} g h^{5} - 18 \, B a^{2} b c^{3} g h^{5} - 18 \, A a^{3} c^{2} d g h^{5} - 18 \, B a^{3} c^{2} d g h^{5} + 6 \, A a^{3} c^{3} h^{6} + 6 \, B a^{3} c^{3} h^{6}}{24 \, {\left(b^{3} d^{3} g^{6} h^{5} x^{4} - 3 \, b^{3} c d^{2} g^{5} h^{6} x^{4} - 3 \, a b^{2} d^{3} g^{5} h^{6} x^{4} + 3 \, b^{3} c^{2} d g^{4} h^{7} x^{4} + 9 \, a b^{2} c d^{2} g^{4} h^{7} x^{4} + 3 \, a^{2} b d^{3} g^{4} h^{7} x^{4} - b^{3} c^{3} g^{3} h^{8} x^{4} - 9 \, a b^{2} c^{2} d g^{3} h^{8} x^{4} - 9 \, a^{2} b c d^{2} g^{3} h^{8} x^{4} - a^{3} d^{3} g^{3} h^{8} x^{4} + 3 \, a b^{2} c^{3} g^{2} h^{9} x^{4} + 9 \, a^{2} b c^{2} d g^{2} h^{9} x^{4} + 3 \, a^{3} c d^{2} g^{2} h^{9} x^{4} - 3 \, a^{2} b c^{3} g h^{10} x^{4} - 3 \, a^{3} c^{2} d g h^{10} x^{4} + a^{3} c^{3} h^{11} x^{4} + 4 \, b^{3} d^{3} g^{7} h^{4} x^{3} - 12 \, b^{3} c d^{2} g^{6} h^{5} x^{3} - 12 \, a b^{2} d^{3} g^{6} h^{5} x^{3} + 12 \, b^{3} c^{2} d g^{5} h^{6} x^{3} + 36 \, a b^{2} c d^{2} g^{5} h^{6} x^{3} + 12 \, a^{2} b d^{3} g^{5} h^{6} x^{3} - 4 \, b^{3} c^{3} g^{4} h^{7} x^{3} - 36 \, a b^{2} c^{2} d g^{4} h^{7} x^{3} - 36 \, a^{2} b c d^{2} g^{4} h^{7} x^{3} - 4 \, a^{3} d^{3} g^{4} h^{7} x^{3} + 12 \, a b^{2} c^{3} g^{3} h^{8} x^{3} + 36 \, a^{2} b c^{2} d g^{3} h^{8} x^{3} + 12 \, a^{3} c d^{2} g^{3} h^{8} x^{3} - 12 \, a^{2} b c^{3} g^{2} h^{9} x^{3} - 12 \, a^{3} c^{2} d g^{2} h^{9} x^{3} + 4 \, a^{3} c^{3} g h^{10} x^{3} + 6 \, b^{3} d^{3} g^{8} h^{3} x^{2} - 18 \, b^{3} c d^{2} g^{7} h^{4} x^{2} - 18 \, a b^{2} d^{3} g^{7} h^{4} x^{2} + 18 \, b^{3} c^{2} d g^{6} h^{5} x^{2} + 54 \, a b^{2} c d^{2} g^{6} h^{5} x^{2} + 18 \, a^{2} b d^{3} g^{6} h^{5} x^{2} - 6 \, b^{3} c^{3} g^{5} h^{6} x^{2} - 54 \, a b^{2} c^{2} d g^{5} h^{6} x^{2} - 54 \, a^{2} b c d^{2} g^{5} h^{6} x^{2} - 6 \, a^{3} d^{3} g^{5} h^{6} x^{2} + 18 \, a b^{2} c^{3} g^{4} h^{7} x^{2} + 54 \, a^{2} b c^{2} d g^{4} h^{7} x^{2} + 18 \, a^{3} c d^{2} g^{4} h^{7} x^{2} - 18 \, a^{2} b c^{3} g^{3} h^{8} x^{2} - 18 \, a^{3} c^{2} d g^{3} h^{8} x^{2} + 6 \, a^{3} c^{3} g^{2} h^{9} x^{2} + 4 \, b^{3} d^{3} g^{9} h^{2} x - 12 \, b^{3} c d^{2} g^{8} h^{3} x - 12 \, a b^{2} d^{3} g^{8} h^{3} x + 12 \, b^{3} c^{2} d g^{7} h^{4} x + 36 \, a b^{2} c d^{2} g^{7} h^{4} x + 12 \, a^{2} b d^{3} g^{7} h^{4} x - 4 \, b^{3} c^{3} g^{6} h^{5} x - 36 \, a b^{2} c^{2} d g^{6} h^{5} x - 36 \, a^{2} b c d^{2} g^{6} h^{5} x - 4 \, a^{3} d^{3} g^{6} h^{5} x + 12 \, a b^{2} c^{3} g^{5} h^{6} x + 36 \, a^{2} b c^{2} d g^{5} h^{6} x + 12 \, a^{3} c d^{2} g^{5} h^{6} x - 12 \, a^{2} b c^{3} g^{4} h^{7} x - 12 \, a^{3} c^{2} d g^{4} h^{7} x + 4 \, a^{3} c^{3} g^{3} h^{8} x + b^{3} d^{3} g^{10} h - 3 \, b^{3} c d^{2} g^{9} h^{2} - 3 \, a b^{2} d^{3} g^{9} h^{2} + 3 \, b^{3} c^{2} d g^{8} h^{3} + 9 \, a b^{2} c d^{2} g^{8} h^{3} + 3 \, a^{2} b d^{3} g^{8} h^{3} - b^{3} c^{3} g^{7} h^{4} - 9 \, a b^{2} c^{2} d g^{7} h^{4} - 9 \, a^{2} b c d^{2} g^{7} h^{4} - a^{3} d^{3} g^{7} h^{4} + 3 \, a b^{2} c^{3} g^{6} h^{5} + 9 \, a^{2} b c^{2} d g^{6} h^{5} + 3 \, a^{3} c d^{2} g^{6} h^{5} - 3 \, a^{2} b c^{3} g^{5} h^{6} - 3 \, a^{3} c^{2} d g^{5} h^{6} + a^{3} c^{3} g^{4} h^{7}\right)}}"," ",0,"1/4*B*b^5*n*log(abs(b*x + a))/(b^5*g^4*h - 4*a*b^4*g^3*h^2 + 6*a^2*b^3*g^2*h^3 - 4*a^3*b^2*g*h^4 + a^4*b*h^5) - 1/4*B*d^5*n*log(abs(d*x + c))/(d^5*g^4*h - 4*c*d^4*g^3*h^2 + 6*c^2*d^3*g^2*h^3 - 4*c^3*d^2*g*h^4 + c^4*d*h^5) - 1/4*B*n*log(b*x + a)/(h^5*x^4 + 4*g*h^4*x^3 + 6*g^2*h^3*x^2 + 4*g^3*h^2*x + g^4*h) + 1/4*B*n*log(d*x + c)/(h^5*x^4 + 4*g*h^4*x^3 + 6*g^2*h^3*x^2 + 4*g^3*h^2*x + g^4*h) + 1/4*(4*B*b^4*c*d^3*g^3*n - 4*B*a*b^3*d^4*g^3*n - 6*B*b^4*c^2*d^2*g^2*h*n + 6*B*a^2*b^2*d^4*g^2*h*n + 4*B*b^4*c^3*d*g*h^2*n - 4*B*a^3*b*d^4*g*h^2*n - B*b^4*c^4*h^3*n + B*a^4*d^4*h^3*n)*log(h*x + g)/(b^4*d^4*g^8 - 4*b^4*c*d^3*g^7*h - 4*a*b^3*d^4*g^7*h + 6*b^4*c^2*d^2*g^6*h^2 + 16*a*b^3*c*d^3*g^6*h^2 + 6*a^2*b^2*d^4*g^6*h^2 - 4*b^4*c^3*d*g^5*h^3 - 24*a*b^3*c^2*d^2*g^5*h^3 - 24*a^2*b^2*c*d^3*g^5*h^3 - 4*a^3*b*d^4*g^5*h^3 + b^4*c^4*g^4*h^4 + 16*a*b^3*c^3*d*g^4*h^4 + 36*a^2*b^2*c^2*d^2*g^4*h^4 + 16*a^3*b*c*d^3*g^4*h^4 + a^4*d^4*g^4*h^4 - 4*a*b^3*c^4*g^3*h^5 - 24*a^2*b^2*c^3*d*g^3*h^5 - 24*a^3*b*c^2*d^2*g^3*h^5 - 4*a^4*c*d^3*g^3*h^5 + 6*a^2*b^2*c^4*g^2*h^6 + 16*a^3*b*c^3*d*g^2*h^6 + 6*a^4*c^2*d^2*g^2*h^6 - 4*a^3*b*c^4*g*h^7 - 4*a^4*c^3*d*g*h^7 + a^4*c^4*h^8) - 1/24*(18*B*b^3*c*d^2*g^2*h^4*n*x^3 - 18*B*a*b^2*d^3*g^2*h^4*n*x^3 - 18*B*b^3*c^2*d*g*h^5*n*x^3 + 18*B*a^2*b*d^3*g*h^5*n*x^3 + 6*B*b^3*c^3*h^6*n*x^3 - 6*B*a^3*d^3*h^6*n*x^3 + 60*B*b^3*c*d^2*g^3*h^3*n*x^2 - 60*B*a*b^2*d^3*g^3*h^3*n*x^2 - 63*B*b^3*c^2*d*g^2*h^4*n*x^2 + 63*B*a^2*b*d^3*g^2*h^4*n*x^2 + 21*B*b^3*c^3*g*h^5*n*x^2 + 9*B*a*b^2*c^2*d*g*h^5*n*x^2 - 9*B*a^2*b*c*d^2*g*h^5*n*x^2 - 21*B*a^3*d^3*g*h^5*n*x^2 - 3*B*a*b^2*c^3*h^6*n*x^2 + 3*B*a^3*c*d^2*h^6*n*x^2 + 68*B*b^3*c*d^2*g^4*h^2*n*x - 68*B*a*b^2*d^3*g^4*h^2*n*x - 76*B*b^3*c^2*d*g^3*h^3*n*x + 76*B*a^2*b*d^3*g^3*h^3*n*x + 26*B*b^3*c^3*g^2*h^4*n*x + 24*B*a*b^2*c^2*d*g^2*h^4*n*x - 24*B*a^2*b*c*d^2*g^2*h^4*n*x - 26*B*a^3*d^3*g^2*h^4*n*x - 10*B*a*b^2*c^3*g*h^5*n*x + 10*B*a^3*c*d^2*g*h^5*n*x + 2*B*a^2*b*c^3*h^6*n*x - 2*B*a^3*c^2*d*h^6*n*x + 26*B*b^3*c*d^2*g^5*h*n - 26*B*a*b^2*d^3*g^5*h*n - 31*B*b^3*c^2*d*g^4*h^2*n + 31*B*a^2*b*d^3*g^4*h^2*n + 11*B*b^3*c^3*g^3*h^3*n + 15*B*a*b^2*c^2*d*g^3*h^3*n - 15*B*a^2*b*c*d^2*g^3*h^3*n - 11*B*a^3*d^3*g^3*h^3*n - 7*B*a*b^2*c^3*g^2*h^4*n + 7*B*a^3*c*d^2*g^2*h^4*n + 2*B*a^2*b*c^3*g*h^5*n - 2*B*a^3*c^2*d*g*h^5*n + 6*A*b^3*d^3*g^6 + 6*B*b^3*d^3*g^6 - 18*A*b^3*c*d^2*g^5*h - 18*B*b^3*c*d^2*g^5*h - 18*A*a*b^2*d^3*g^5*h - 18*B*a*b^2*d^3*g^5*h + 18*A*b^3*c^2*d*g^4*h^2 + 18*B*b^3*c^2*d*g^4*h^2 + 54*A*a*b^2*c*d^2*g^4*h^2 + 54*B*a*b^2*c*d^2*g^4*h^2 + 18*A*a^2*b*d^3*g^4*h^2 + 18*B*a^2*b*d^3*g^4*h^2 - 6*A*b^3*c^3*g^3*h^3 - 6*B*b^3*c^3*g^3*h^3 - 54*A*a*b^2*c^2*d*g^3*h^3 - 54*B*a*b^2*c^2*d*g^3*h^3 - 54*A*a^2*b*c*d^2*g^3*h^3 - 54*B*a^2*b*c*d^2*g^3*h^3 - 6*A*a^3*d^3*g^3*h^3 - 6*B*a^3*d^3*g^3*h^3 + 18*A*a*b^2*c^3*g^2*h^4 + 18*B*a*b^2*c^3*g^2*h^4 + 54*A*a^2*b*c^2*d*g^2*h^4 + 54*B*a^2*b*c^2*d*g^2*h^4 + 18*A*a^3*c*d^2*g^2*h^4 + 18*B*a^3*c*d^2*g^2*h^4 - 18*A*a^2*b*c^3*g*h^5 - 18*B*a^2*b*c^3*g*h^5 - 18*A*a^3*c^2*d*g*h^5 - 18*B*a^3*c^2*d*g*h^5 + 6*A*a^3*c^3*h^6 + 6*B*a^3*c^3*h^6)/(b^3*d^3*g^6*h^5*x^4 - 3*b^3*c*d^2*g^5*h^6*x^4 - 3*a*b^2*d^3*g^5*h^6*x^4 + 3*b^3*c^2*d*g^4*h^7*x^4 + 9*a*b^2*c*d^2*g^4*h^7*x^4 + 3*a^2*b*d^3*g^4*h^7*x^4 - b^3*c^3*g^3*h^8*x^4 - 9*a*b^2*c^2*d*g^3*h^8*x^4 - 9*a^2*b*c*d^2*g^3*h^8*x^4 - a^3*d^3*g^3*h^8*x^4 + 3*a*b^2*c^3*g^2*h^9*x^4 + 9*a^2*b*c^2*d*g^2*h^9*x^4 + 3*a^3*c*d^2*g^2*h^9*x^4 - 3*a^2*b*c^3*g*h^10*x^4 - 3*a^3*c^2*d*g*h^10*x^4 + a^3*c^3*h^11*x^4 + 4*b^3*d^3*g^7*h^4*x^3 - 12*b^3*c*d^2*g^6*h^5*x^3 - 12*a*b^2*d^3*g^6*h^5*x^3 + 12*b^3*c^2*d*g^5*h^6*x^3 + 36*a*b^2*c*d^2*g^5*h^6*x^3 + 12*a^2*b*d^3*g^5*h^6*x^3 - 4*b^3*c^3*g^4*h^7*x^3 - 36*a*b^2*c^2*d*g^4*h^7*x^3 - 36*a^2*b*c*d^2*g^4*h^7*x^3 - 4*a^3*d^3*g^4*h^7*x^3 + 12*a*b^2*c^3*g^3*h^8*x^3 + 36*a^2*b*c^2*d*g^3*h^8*x^3 + 12*a^3*c*d^2*g^3*h^8*x^3 - 12*a^2*b*c^3*g^2*h^9*x^3 - 12*a^3*c^2*d*g^2*h^9*x^3 + 4*a^3*c^3*g*h^10*x^3 + 6*b^3*d^3*g^8*h^3*x^2 - 18*b^3*c*d^2*g^7*h^4*x^2 - 18*a*b^2*d^3*g^7*h^4*x^2 + 18*b^3*c^2*d*g^6*h^5*x^2 + 54*a*b^2*c*d^2*g^6*h^5*x^2 + 18*a^2*b*d^3*g^6*h^5*x^2 - 6*b^3*c^3*g^5*h^6*x^2 - 54*a*b^2*c^2*d*g^5*h^6*x^2 - 54*a^2*b*c*d^2*g^5*h^6*x^2 - 6*a^3*d^3*g^5*h^6*x^2 + 18*a*b^2*c^3*g^4*h^7*x^2 + 54*a^2*b*c^2*d*g^4*h^7*x^2 + 18*a^3*c*d^2*g^4*h^7*x^2 - 18*a^2*b*c^3*g^3*h^8*x^2 - 18*a^3*c^2*d*g^3*h^8*x^2 + 6*a^3*c^3*g^2*h^9*x^2 + 4*b^3*d^3*g^9*h^2*x - 12*b^3*c*d^2*g^8*h^3*x - 12*a*b^2*d^3*g^8*h^3*x + 12*b^3*c^2*d*g^7*h^4*x + 36*a*b^2*c*d^2*g^7*h^4*x + 12*a^2*b*d^3*g^7*h^4*x - 4*b^3*c^3*g^6*h^5*x - 36*a*b^2*c^2*d*g^6*h^5*x - 36*a^2*b*c*d^2*g^6*h^5*x - 4*a^3*d^3*g^6*h^5*x + 12*a*b^2*c^3*g^5*h^6*x + 36*a^2*b*c^2*d*g^5*h^6*x + 12*a^3*c*d^2*g^5*h^6*x - 12*a^2*b*c^3*g^4*h^7*x - 12*a^3*c^2*d*g^4*h^7*x + 4*a^3*c^3*g^3*h^8*x + b^3*d^3*g^10*h - 3*b^3*c*d^2*g^9*h^2 - 3*a*b^2*d^3*g^9*h^2 + 3*b^3*c^2*d*g^8*h^3 + 9*a*b^2*c*d^2*g^8*h^3 + 3*a^2*b*d^3*g^8*h^3 - b^3*c^3*g^7*h^4 - 9*a*b^2*c^2*d*g^7*h^4 - 9*a^2*b*c*d^2*g^7*h^4 - a^3*d^3*g^7*h^4 + 3*a*b^2*c^3*g^6*h^5 + 9*a^2*b*c^2*d*g^6*h^5 + 3*a^3*c*d^2*g^6*h^5 - 3*a^2*b*c^3*g^5*h^6 - 3*a^3*c^2*d*g^5*h^6 + a^3*c^3*g^4*h^7)","B",0
303,-1,0,0,0.000000," ","integrate((h*x+g)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
304,0,0,0,0.000000," ","integrate((h*x+g)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""giac"")","\int {\left(h x + g\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((h*x + g)*(B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2, x)","F",0
305,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""giac"")","\int {\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((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2, x)","F",0
306,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+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)}^{2}}{h x + g}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/(h*x + g), x)","F",0
307,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g)^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)}^{2}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/(h*x + g)^2, x)","F",0
308,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g)^3,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(h x + g\right)}^{3}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^2/(h*x + g)^3, x)","F",0
309,-1,0,0,0.000000," ","integrate((h*x+g)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
310,-1,0,0,0.000000," ","integrate((h*x+g)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
311,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""giac"")","\int {\left(B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A\right)}^{3}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3, x)","F",0
312,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+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)}^{3}}{h x + g}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/(h*x + g), x)","F",0
313,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g)^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)}^{3}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/(h*x + g)^2, x)","F",0
314,0,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g)^3,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(h x + g\right)}^{3}}\,{d x}"," ",0,"integrate((B*log((b*x + a)^n*e/(d*x + c)^n) + A)^3/(h*x + g)^3, x)","F",0
