1,1,6156,0,11.007312," ","integrate((e*x)**m*(b*x**2+a)**3*(B*x**2+A)*(d*x**2+c),x)","\begin{cases} \frac{- \frac{A a^{3} c}{10 x^{10}} - \frac{A a^{3} d}{8 x^{8}} - \frac{3 A a^{2} b c}{8 x^{8}} - \frac{A a^{2} b d}{2 x^{6}} - \frac{A a b^{2} c}{2 x^{6}} - \frac{3 A a b^{2} d}{4 x^{4}} - \frac{A b^{3} c}{4 x^{4}} - \frac{A b^{3} d}{2 x^{2}} - \frac{B a^{3} c}{8 x^{8}} - \frac{B a^{3} d}{6 x^{6}} - \frac{B a^{2} b c}{2 x^{6}} - \frac{3 B a^{2} b d}{4 x^{4}} - \frac{3 B a b^{2} c}{4 x^{4}} - \frac{3 B a b^{2} d}{2 x^{2}} - \frac{B b^{3} c}{2 x^{2}} + B b^{3} d \log{\left(x \right)}}{e^{11}} & \text{for}\: m = -11 \\\frac{- \frac{A a^{3} c}{8 x^{8}} - \frac{A a^{3} d}{6 x^{6}} - \frac{A a^{2} b c}{2 x^{6}} - \frac{3 A a^{2} b d}{4 x^{4}} - \frac{3 A a b^{2} c}{4 x^{4}} - \frac{3 A a b^{2} d}{2 x^{2}} - \frac{A b^{3} c}{2 x^{2}} + A b^{3} d \log{\left(x \right)} - \frac{B a^{3} c}{6 x^{6}} - \frac{B a^{3} d}{4 x^{4}} - \frac{3 B a^{2} b c}{4 x^{4}} - \frac{3 B a^{2} b d}{2 x^{2}} - \frac{3 B a b^{2} c}{2 x^{2}} + 3 B a b^{2} d \log{\left(x \right)} + B b^{3} c \log{\left(x \right)} + \frac{B b^{3} d x^{2}}{2}}{e^{9}} & \text{for}\: m = -9 \\\frac{- \frac{A a^{3} c}{6 x^{6}} - \frac{A a^{3} d}{4 x^{4}} - \frac{3 A a^{2} b c}{4 x^{4}} - \frac{3 A a^{2} b d}{2 x^{2}} - \frac{3 A a b^{2} c}{2 x^{2}} + 3 A a b^{2} d \log{\left(x \right)} + A b^{3} c \log{\left(x \right)} + \frac{A b^{3} d x^{2}}{2} - \frac{B a^{3} c}{4 x^{4}} - \frac{B a^{3} d}{2 x^{2}} - \frac{3 B a^{2} b c}{2 x^{2}} + 3 B a^{2} b d \log{\left(x \right)} + 3 B a b^{2} c \log{\left(x \right)} + \frac{3 B a b^{2} d x^{2}}{2} + \frac{B b^{3} c x^{2}}{2} + \frac{B b^{3} d x^{4}}{4}}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A a^{3} c}{4 x^{4}} - \frac{A a^{3} d}{2 x^{2}} - \frac{3 A a^{2} b c}{2 x^{2}} + 3 A a^{2} b d \log{\left(x \right)} + 3 A a b^{2} c \log{\left(x \right)} + \frac{3 A a b^{2} d x^{2}}{2} + \frac{A b^{3} c x^{2}}{2} + \frac{A b^{3} d x^{4}}{4} - \frac{B a^{3} c}{2 x^{2}} + B a^{3} d \log{\left(x \right)} + 3 B a^{2} b c \log{\left(x \right)} + \frac{3 B a^{2} b d x^{2}}{2} + \frac{3 B a b^{2} c x^{2}}{2} + \frac{3 B a b^{2} d x^{4}}{4} + \frac{B b^{3} c x^{4}}{4} + \frac{B b^{3} d x^{6}}{6}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A a^{3} c}{2 x^{2}} + A a^{3} d \log{\left(x \right)} + 3 A a^{2} b c \log{\left(x \right)} + \frac{3 A a^{2} b d x^{2}}{2} + \frac{3 A a b^{2} c x^{2}}{2} + \frac{3 A a b^{2} d x^{4}}{4} + \frac{A b^{3} c x^{4}}{4} + \frac{A b^{3} d x^{6}}{6} + B a^{3} c \log{\left(x \right)} + \frac{B a^{3} d x^{2}}{2} + \frac{3 B a^{2} b c x^{2}}{2} + \frac{3 B a^{2} b d x^{4}}{4} + \frac{3 B a b^{2} c x^{4}}{4} + \frac{B a b^{2} d x^{6}}{2} + \frac{B b^{3} c x^{6}}{6} + \frac{B b^{3} d x^{8}}{8}}{e^{3}} & \text{for}\: m = -3 \\\frac{A a^{3} c \log{\left(x \right)} + \frac{A a^{3} d x^{2}}{2} + \frac{3 A a^{2} b c x^{2}}{2} + \frac{3 A a^{2} b d x^{4}}{4} + \frac{3 A a b^{2} c x^{4}}{4} + \frac{A a b^{2} d x^{6}}{2} + \frac{A b^{3} c x^{6}}{6} + \frac{A b^{3} d x^{8}}{8} + \frac{B a^{3} c x^{2}}{2} + \frac{B a^{3} d x^{4}}{4} + \frac{3 B a^{2} b c x^{4}}{4} + \frac{B a^{2} b d x^{6}}{2} + \frac{B a b^{2} c x^{6}}{2} + \frac{3 B a b^{2} d x^{8}}{8} + \frac{B b^{3} c x^{8}}{8} + \frac{B b^{3} d x^{10}}{10}}{e} & \text{for}\: m = -1 \\\frac{A a^{3} c e^{m} m^{5} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{35 A a^{3} c e^{m} m^{4} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{470 A a^{3} c e^{m} m^{3} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3010 A a^{3} c e^{m} m^{2} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{9129 A a^{3} c e^{m} m x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10395 A a^{3} c e^{m} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{A a^{3} d e^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{33 A a^{3} d e^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{406 A a^{3} d e^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2262 A a^{3} d e^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5353 A a^{3} d e^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3465 A a^{3} d e^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 A a^{2} b c e^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{99 A a^{2} b c e^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1218 A a^{2} b c e^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6786 A a^{2} b c e^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{16059 A a^{2} b c e^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10395 A a^{2} b c e^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 A a^{2} b d e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{93 A a^{2} b d e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1050 A a^{2} b d e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5190 A a^{2} b d e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10467 A a^{2} b d e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6237 A a^{2} b d e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 A a b^{2} c e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{93 A a b^{2} c e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1050 A a b^{2} c e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5190 A a b^{2} c e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10467 A a b^{2} c e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6237 A a b^{2} c e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 A a b^{2} d e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{87 A a b^{2} d e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{906 A a b^{2} d e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4098 A a b^{2} d e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{7731 A a b^{2} d e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4455 A a b^{2} d e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{A b^{3} c e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{29 A b^{3} c e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{302 A b^{3} c e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1366 A b^{3} c e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2577 A b^{3} c e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1485 A b^{3} c e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{A b^{3} d e^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{27 A b^{3} d e^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{262 A b^{3} d e^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1122 A b^{3} d e^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2041 A b^{3} d e^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1155 A b^{3} d e^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B a^{3} c e^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{33 B a^{3} c e^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{406 B a^{3} c e^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2262 B a^{3} c e^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5353 B a^{3} c e^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3465 B a^{3} c e^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B a^{3} d e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{31 B a^{3} d e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{350 B a^{3} d e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1730 B a^{3} d e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3489 B a^{3} d e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2079 B a^{3} d e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 B a^{2} b c e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{93 B a^{2} b c e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1050 B a^{2} b c e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5190 B a^{2} b c e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10467 B a^{2} b c e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6237 B a^{2} b c e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 B a^{2} b d e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{87 B a^{2} b d e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{906 B a^{2} b d e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4098 B a^{2} b d e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{7731 B a^{2} b d e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4455 B a^{2} b d e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 B a b^{2} c e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{87 B a b^{2} c e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{906 B a b^{2} c e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4098 B a b^{2} c e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{7731 B a b^{2} c e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4455 B a b^{2} c e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 B a b^{2} d e^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{81 B a b^{2} d e^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{786 B a b^{2} d e^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3366 B a b^{2} d e^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6123 B a b^{2} d e^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3465 B a b^{2} d e^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B b^{3} c e^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{27 B b^{3} c e^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{262 B b^{3} c e^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1122 B b^{3} c e^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2041 B b^{3} c e^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1155 B b^{3} c e^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B b^{3} d e^{m} m^{5} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{25 B b^{3} d e^{m} m^{4} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{230 B b^{3} d e^{m} m^{3} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{950 B b^{3} d e^{m} m^{2} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1689 B b^{3} d e^{m} m x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{945 B b^{3} d e^{m} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*a**3*c/(10*x**10) - A*a**3*d/(8*x**8) - 3*A*a**2*b*c/(8*x**8) - A*a**2*b*d/(2*x**6) - A*a*b**2*c/(2*x**6) - 3*A*a*b**2*d/(4*x**4) - A*b**3*c/(4*x**4) - A*b**3*d/(2*x**2) - B*a**3*c/(8*x**8) - B*a**3*d/(6*x**6) - B*a**2*b*c/(2*x**6) - 3*B*a**2*b*d/(4*x**4) - 3*B*a*b**2*c/(4*x**4) - 3*B*a*b**2*d/(2*x**2) - B*b**3*c/(2*x**2) + B*b**3*d*log(x))/e**11, Eq(m, -11)), ((-A*a**3*c/(8*x**8) - A*a**3*d/(6*x**6) - A*a**2*b*c/(2*x**6) - 3*A*a**2*b*d/(4*x**4) - 3*A*a*b**2*c/(4*x**4) - 3*A*a*b**2*d/(2*x**2) - A*b**3*c/(2*x**2) + A*b**3*d*log(x) - B*a**3*c/(6*x**6) - B*a**3*d/(4*x**4) - 3*B*a**2*b*c/(4*x**4) - 3*B*a**2*b*d/(2*x**2) - 3*B*a*b**2*c/(2*x**2) + 3*B*a*b**2*d*log(x) + B*b**3*c*log(x) + B*b**3*d*x**2/2)/e**9, Eq(m, -9)), ((-A*a**3*c/(6*x**6) - A*a**3*d/(4*x**4) - 3*A*a**2*b*c/(4*x**4) - 3*A*a**2*b*d/(2*x**2) - 3*A*a*b**2*c/(2*x**2) + 3*A*a*b**2*d*log(x) + A*b**3*c*log(x) + A*b**3*d*x**2/2 - B*a**3*c/(4*x**4) - B*a**3*d/(2*x**2) - 3*B*a**2*b*c/(2*x**2) + 3*B*a**2*b*d*log(x) + 3*B*a*b**2*c*log(x) + 3*B*a*b**2*d*x**2/2 + B*b**3*c*x**2/2 + B*b**3*d*x**4/4)/e**7, Eq(m, -7)), ((-A*a**3*c/(4*x**4) - A*a**3*d/(2*x**2) - 3*A*a**2*b*c/(2*x**2) + 3*A*a**2*b*d*log(x) + 3*A*a*b**2*c*log(x) + 3*A*a*b**2*d*x**2/2 + A*b**3*c*x**2/2 + A*b**3*d*x**4/4 - B*a**3*c/(2*x**2) + B*a**3*d*log(x) + 3*B*a**2*b*c*log(x) + 3*B*a**2*b*d*x**2/2 + 3*B*a*b**2*c*x**2/2 + 3*B*a*b**2*d*x**4/4 + B*b**3*c*x**4/4 + B*b**3*d*x**6/6)/e**5, Eq(m, -5)), ((-A*a**3*c/(2*x**2) + A*a**3*d*log(x) + 3*A*a**2*b*c*log(x) + 3*A*a**2*b*d*x**2/2 + 3*A*a*b**2*c*x**2/2 + 3*A*a*b**2*d*x**4/4 + A*b**3*c*x**4/4 + A*b**3*d*x**6/6 + B*a**3*c*log(x) + B*a**3*d*x**2/2 + 3*B*a**2*b*c*x**2/2 + 3*B*a**2*b*d*x**4/4 + 3*B*a*b**2*c*x**4/4 + B*a*b**2*d*x**6/2 + B*b**3*c*x**6/6 + B*b**3*d*x**8/8)/e**3, Eq(m, -3)), ((A*a**3*c*log(x) + A*a**3*d*x**2/2 + 3*A*a**2*b*c*x**2/2 + 3*A*a**2*b*d*x**4/4 + 3*A*a*b**2*c*x**4/4 + A*a*b**2*d*x**6/2 + A*b**3*c*x**6/6 + A*b**3*d*x**8/8 + B*a**3*c*x**2/2 + B*a**3*d*x**4/4 + 3*B*a**2*b*c*x**4/4 + B*a**2*b*d*x**6/2 + B*a*b**2*c*x**6/2 + 3*B*a*b**2*d*x**8/8 + B*b**3*c*x**8/8 + B*b**3*d*x**10/10)/e, Eq(m, -1)), (A*a**3*c*e**m*m**5*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 35*A*a**3*c*e**m*m**4*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 470*A*a**3*c*e**m*m**3*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3010*A*a**3*c*e**m*m**2*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 9129*A*a**3*c*e**m*m*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10395*A*a**3*c*e**m*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + A*a**3*d*e**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 33*A*a**3*d*e**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 406*A*a**3*d*e**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2262*A*a**3*d*e**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5353*A*a**3*d*e**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3465*A*a**3*d*e**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*A*a**2*b*c*e**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 99*A*a**2*b*c*e**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1218*A*a**2*b*c*e**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6786*A*a**2*b*c*e**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 16059*A*a**2*b*c*e**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10395*A*a**2*b*c*e**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*A*a**2*b*d*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 93*A*a**2*b*d*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1050*A*a**2*b*d*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5190*A*a**2*b*d*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10467*A*a**2*b*d*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6237*A*a**2*b*d*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*A*a*b**2*c*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 93*A*a*b**2*c*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1050*A*a*b**2*c*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5190*A*a*b**2*c*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10467*A*a*b**2*c*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6237*A*a*b**2*c*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*A*a*b**2*d*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 87*A*a*b**2*d*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 906*A*a*b**2*d*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4098*A*a*b**2*d*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 7731*A*a*b**2*d*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4455*A*a*b**2*d*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + A*b**3*c*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 29*A*b**3*c*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 302*A*b**3*c*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1366*A*b**3*c*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2577*A*b**3*c*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1485*A*b**3*c*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + A*b**3*d*e**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 27*A*b**3*d*e**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 262*A*b**3*d*e**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1122*A*b**3*d*e**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2041*A*b**3*d*e**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1155*A*b**3*d*e**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*a**3*c*e**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 33*B*a**3*c*e**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 406*B*a**3*c*e**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2262*B*a**3*c*e**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5353*B*a**3*c*e**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3465*B*a**3*c*e**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*a**3*d*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 31*B*a**3*d*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 350*B*a**3*d*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1730*B*a**3*d*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3489*B*a**3*d*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2079*B*a**3*d*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*B*a**2*b*c*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 93*B*a**2*b*c*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1050*B*a**2*b*c*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5190*B*a**2*b*c*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10467*B*a**2*b*c*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6237*B*a**2*b*c*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*B*a**2*b*d*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 87*B*a**2*b*d*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 906*B*a**2*b*d*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4098*B*a**2*b*d*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 7731*B*a**2*b*d*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4455*B*a**2*b*d*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*B*a*b**2*c*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 87*B*a*b**2*c*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 906*B*a*b**2*c*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4098*B*a*b**2*c*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 7731*B*a*b**2*c*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4455*B*a*b**2*c*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*B*a*b**2*d*e**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 81*B*a*b**2*d*e**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 786*B*a*b**2*d*e**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3366*B*a*b**2*d*e**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6123*B*a*b**2*d*e**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3465*B*a*b**2*d*e**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*b**3*c*e**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 27*B*b**3*c*e**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 262*B*b**3*c*e**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1122*B*b**3*c*e**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2041*B*b**3*c*e**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1155*B*b**3*c*e**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*b**3*d*e**m*m**5*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 25*B*b**3*d*e**m*m**4*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 230*B*b**3*d*e**m*m**3*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 950*B*b**3*d*e**m*m**2*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1689*B*b**3*d*e**m*m*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 945*B*b**3*d*e**m*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395), True))","A",0
2,1,3373,0,7.626817," ","integrate((e*x)**m*(b*x**2+a)**2*(B*x**2+A)*(d*x**2+c),x)","\begin{cases} \frac{- \frac{A a^{2} c}{8 x^{8}} - \frac{A a^{2} d}{6 x^{6}} - \frac{A a b c}{3 x^{6}} - \frac{A a b d}{2 x^{4}} - \frac{A b^{2} c}{4 x^{4}} - \frac{A b^{2} d}{2 x^{2}} - \frac{B a^{2} c}{6 x^{6}} - \frac{B a^{2} d}{4 x^{4}} - \frac{B a b c}{2 x^{4}} - \frac{B a b d}{x^{2}} - \frac{B b^{2} c}{2 x^{2}} + B b^{2} d \log{\left(x \right)}}{e^{9}} & \text{for}\: m = -9 \\\frac{- \frac{A a^{2} c}{6 x^{6}} - \frac{A a^{2} d}{4 x^{4}} - \frac{A a b c}{2 x^{4}} - \frac{A a b d}{x^{2}} - \frac{A b^{2} c}{2 x^{2}} + A b^{2} d \log{\left(x \right)} - \frac{B a^{2} c}{4 x^{4}} - \frac{B a^{2} d}{2 x^{2}} - \frac{B a b c}{x^{2}} + 2 B a b d \log{\left(x \right)} + B b^{2} c \log{\left(x \right)} + \frac{B b^{2} d x^{2}}{2}}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A a^{2} c}{4 x^{4}} - \frac{A a^{2} d}{2 x^{2}} - \frac{A a b c}{x^{2}} + 2 A a b d \log{\left(x \right)} + A b^{2} c \log{\left(x \right)} + \frac{A b^{2} d x^{2}}{2} - \frac{B a^{2} c}{2 x^{2}} + B a^{2} d \log{\left(x \right)} + 2 B a b c \log{\left(x \right)} + B a b d x^{2} + \frac{B b^{2} c x^{2}}{2} + \frac{B b^{2} d x^{4}}{4}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A a^{2} c}{2 x^{2}} + A a^{2} d \log{\left(x \right)} + 2 A a b c \log{\left(x \right)} + A a b d x^{2} + \frac{A b^{2} c x^{2}}{2} + \frac{A b^{2} d x^{4}}{4} + B a^{2} c \log{\left(x \right)} + \frac{B a^{2} d x^{2}}{2} + B a b c x^{2} + \frac{B a b d x^{4}}{2} + \frac{B b^{2} c x^{4}}{4} + \frac{B b^{2} d x^{6}}{6}}{e^{3}} & \text{for}\: m = -3 \\\frac{A a^{2} c \log{\left(x \right)} + \frac{A a^{2} d x^{2}}{2} + A a b c x^{2} + \frac{A a b d x^{4}}{2} + \frac{A b^{2} c x^{4}}{4} + \frac{A b^{2} d x^{6}}{6} + \frac{B a^{2} c x^{2}}{2} + \frac{B a^{2} d x^{4}}{4} + \frac{B a b c x^{4}}{2} + \frac{B a b d x^{6}}{3} + \frac{B b^{2} c x^{6}}{6} + \frac{B b^{2} d x^{8}}{8}}{e} & \text{for}\: m = -1 \\\frac{A a^{2} c e^{m} m^{4} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{24 A a^{2} c e^{m} m^{3} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{206 A a^{2} c e^{m} m^{2} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{744 A a^{2} c e^{m} m x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{945 A a^{2} c e^{m} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{A a^{2} d e^{m} m^{4} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{22 A a^{2} d e^{m} m^{3} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{164 A a^{2} d e^{m} m^{2} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{458 A a^{2} d e^{m} m x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{315 A a^{2} d e^{m} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{2 A a b c e^{m} m^{4} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{44 A a b c e^{m} m^{3} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{328 A a b c e^{m} m^{2} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{916 A a b c e^{m} m x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{630 A a b c e^{m} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{2 A a b d e^{m} m^{4} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{40 A a b d e^{m} m^{3} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{260 A a b d e^{m} m^{2} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{600 A a b d e^{m} m x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{378 A a b d e^{m} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{A b^{2} c e^{m} m^{4} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{20 A b^{2} c e^{m} m^{3} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{130 A b^{2} c e^{m} m^{2} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{300 A b^{2} c e^{m} m x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{189 A b^{2} c e^{m} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{A b^{2} d e^{m} m^{4} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{18 A b^{2} d e^{m} m^{3} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{104 A b^{2} d e^{m} m^{2} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{222 A b^{2} d e^{m} m x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{135 A b^{2} d e^{m} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{B a^{2} c e^{m} m^{4} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{22 B a^{2} c e^{m} m^{3} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{164 B a^{2} c e^{m} m^{2} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{458 B a^{2} c e^{m} m x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{315 B a^{2} c e^{m} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{B a^{2} d e^{m} m^{4} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{20 B a^{2} d e^{m} m^{3} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{130 B a^{2} d e^{m} m^{2} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{300 B a^{2} d e^{m} m x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{189 B a^{2} d e^{m} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{2 B a b c e^{m} m^{4} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{40 B a b c e^{m} m^{3} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{260 B a b c e^{m} m^{2} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{600 B a b c e^{m} m x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{378 B a b c e^{m} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{2 B a b d e^{m} m^{4} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{36 B a b d e^{m} m^{3} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{208 B a b d e^{m} m^{2} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{444 B a b d e^{m} m x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{270 B a b d e^{m} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{B b^{2} c e^{m} m^{4} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{18 B b^{2} c e^{m} m^{3} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{104 B b^{2} c e^{m} m^{2} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{222 B b^{2} c e^{m} m x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{135 B b^{2} c e^{m} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{B b^{2} d e^{m} m^{4} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{16 B b^{2} d e^{m} m^{3} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{86 B b^{2} d e^{m} m^{2} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{176 B b^{2} d e^{m} m x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{105 B b^{2} d e^{m} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*a**2*c/(8*x**8) - A*a**2*d/(6*x**6) - A*a*b*c/(3*x**6) - A*a*b*d/(2*x**4) - A*b**2*c/(4*x**4) - A*b**2*d/(2*x**2) - B*a**2*c/(6*x**6) - B*a**2*d/(4*x**4) - B*a*b*c/(2*x**4) - B*a*b*d/x**2 - B*b**2*c/(2*x**2) + B*b**2*d*log(x))/e**9, Eq(m, -9)), ((-A*a**2*c/(6*x**6) - A*a**2*d/(4*x**4) - A*a*b*c/(2*x**4) - A*a*b*d/x**2 - A*b**2*c/(2*x**2) + A*b**2*d*log(x) - B*a**2*c/(4*x**4) - B*a**2*d/(2*x**2) - B*a*b*c/x**2 + 2*B*a*b*d*log(x) + B*b**2*c*log(x) + B*b**2*d*x**2/2)/e**7, Eq(m, -7)), ((-A*a**2*c/(4*x**4) - A*a**2*d/(2*x**2) - A*a*b*c/x**2 + 2*A*a*b*d*log(x) + A*b**2*c*log(x) + A*b**2*d*x**2/2 - B*a**2*c/(2*x**2) + B*a**2*d*log(x) + 2*B*a*b*c*log(x) + B*a*b*d*x**2 + B*b**2*c*x**2/2 + B*b**2*d*x**4/4)/e**5, Eq(m, -5)), ((-A*a**2*c/(2*x**2) + A*a**2*d*log(x) + 2*A*a*b*c*log(x) + A*a*b*d*x**2 + A*b**2*c*x**2/2 + A*b**2*d*x**4/4 + B*a**2*c*log(x) + B*a**2*d*x**2/2 + B*a*b*c*x**2 + B*a*b*d*x**4/2 + B*b**2*c*x**4/4 + B*b**2*d*x**6/6)/e**3, Eq(m, -3)), ((A*a**2*c*log(x) + A*a**2*d*x**2/2 + A*a*b*c*x**2 + A*a*b*d*x**4/2 + A*b**2*c*x**4/4 + A*b**2*d*x**6/6 + B*a**2*c*x**2/2 + B*a**2*d*x**4/4 + B*a*b*c*x**4/2 + B*a*b*d*x**6/3 + B*b**2*c*x**6/6 + B*b**2*d*x**8/8)/e, Eq(m, -1)), (A*a**2*c*e**m*m**4*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 24*A*a**2*c*e**m*m**3*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 206*A*a**2*c*e**m*m**2*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 744*A*a**2*c*e**m*m*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 945*A*a**2*c*e**m*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + A*a**2*d*e**m*m**4*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 22*A*a**2*d*e**m*m**3*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 164*A*a**2*d*e**m*m**2*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 458*A*a**2*d*e**m*m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 315*A*a**2*d*e**m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 2*A*a*b*c*e**m*m**4*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 44*A*a*b*c*e**m*m**3*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 328*A*a*b*c*e**m*m**2*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 916*A*a*b*c*e**m*m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 630*A*a*b*c*e**m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 2*A*a*b*d*e**m*m**4*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 40*A*a*b*d*e**m*m**3*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 260*A*a*b*d*e**m*m**2*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 600*A*a*b*d*e**m*m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 378*A*a*b*d*e**m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + A*b**2*c*e**m*m**4*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 20*A*b**2*c*e**m*m**3*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 130*A*b**2*c*e**m*m**2*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 300*A*b**2*c*e**m*m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 189*A*b**2*c*e**m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + A*b**2*d*e**m*m**4*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 18*A*b**2*d*e**m*m**3*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 104*A*b**2*d*e**m*m**2*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 222*A*b**2*d*e**m*m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 135*A*b**2*d*e**m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + B*a**2*c*e**m*m**4*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 22*B*a**2*c*e**m*m**3*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 164*B*a**2*c*e**m*m**2*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 458*B*a**2*c*e**m*m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 315*B*a**2*c*e**m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + B*a**2*d*e**m*m**4*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 20*B*a**2*d*e**m*m**3*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 130*B*a**2*d*e**m*m**2*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 300*B*a**2*d*e**m*m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 189*B*a**2*d*e**m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 2*B*a*b*c*e**m*m**4*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 40*B*a*b*c*e**m*m**3*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 260*B*a*b*c*e**m*m**2*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 600*B*a*b*c*e**m*m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 378*B*a*b*c*e**m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 2*B*a*b*d*e**m*m**4*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 36*B*a*b*d*e**m*m**3*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 208*B*a*b*d*e**m*m**2*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 444*B*a*b*d*e**m*m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 270*B*a*b*d*e**m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + B*b**2*c*e**m*m**4*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 18*B*b**2*c*e**m*m**3*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 104*B*b**2*c*e**m*m**2*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 222*B*b**2*c*e**m*m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 135*B*b**2*c*e**m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + B*b**2*d*e**m*m**4*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 16*B*b**2*d*e**m*m**3*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 86*B*b**2*d*e**m*m**2*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 176*B*b**2*d*e**m*m*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 105*B*b**2*d*e**m*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945), True))","A",0
3,1,1515,0,2.599936," ","integrate((e*x)**m*(b*x**2+a)*(B*x**2+A)*(d*x**2+c),x)","\begin{cases} \frac{- \frac{A a c}{6 x^{6}} - \frac{A a d}{4 x^{4}} - \frac{A b c}{4 x^{4}} - \frac{A b d}{2 x^{2}} - \frac{B a c}{4 x^{4}} - \frac{B a d}{2 x^{2}} - \frac{B b c}{2 x^{2}} + B b d \log{\left(x \right)}}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A a c}{4 x^{4}} - \frac{A a d}{2 x^{2}} - \frac{A b c}{2 x^{2}} + A b d \log{\left(x \right)} - \frac{B a c}{2 x^{2}} + B a d \log{\left(x \right)} + B b c \log{\left(x \right)} + \frac{B b d x^{2}}{2}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A a c}{2 x^{2}} + A a d \log{\left(x \right)} + A b c \log{\left(x \right)} + \frac{A b d x^{2}}{2} + B a c \log{\left(x \right)} + \frac{B a d x^{2}}{2} + \frac{B b c x^{2}}{2} + \frac{B b d x^{4}}{4}}{e^{3}} & \text{for}\: m = -3 \\\frac{A a c \log{\left(x \right)} + \frac{A a d x^{2}}{2} + \frac{A b c x^{2}}{2} + \frac{A b d x^{4}}{4} + \frac{B a c x^{2}}{2} + \frac{B a d x^{4}}{4} + \frac{B b c x^{4}}{4} + \frac{B b d x^{6}}{6}}{e} & \text{for}\: m = -1 \\\frac{A a c e^{m} m^{3} x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{15 A a c e^{m} m^{2} x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{71 A a c e^{m} m x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{105 A a c e^{m} x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{A a d e^{m} m^{3} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{13 A a d e^{m} m^{2} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{47 A a d e^{m} m x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{35 A a d e^{m} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{A b c e^{m} m^{3} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{13 A b c e^{m} m^{2} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{47 A b c e^{m} m x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{35 A b c e^{m} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{A b d e^{m} m^{3} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{11 A b d e^{m} m^{2} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{31 A b d e^{m} m x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{21 A b d e^{m} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{B a c e^{m} m^{3} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{13 B a c e^{m} m^{2} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{47 B a c e^{m} m x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{35 B a c e^{m} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{B a d e^{m} m^{3} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{11 B a d e^{m} m^{2} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{31 B a d e^{m} m x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{21 B a d e^{m} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{B b c e^{m} m^{3} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{11 B b c e^{m} m^{2} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{31 B b c e^{m} m x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{21 B b c e^{m} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{B b d e^{m} m^{3} x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{9 B b d e^{m} m^{2} x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{23 B b d e^{m} m x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{15 B b d e^{m} x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*a*c/(6*x**6) - A*a*d/(4*x**4) - A*b*c/(4*x**4) - A*b*d/(2*x**2) - B*a*c/(4*x**4) - B*a*d/(2*x**2) - B*b*c/(2*x**2) + B*b*d*log(x))/e**7, Eq(m, -7)), ((-A*a*c/(4*x**4) - A*a*d/(2*x**2) - A*b*c/(2*x**2) + A*b*d*log(x) - B*a*c/(2*x**2) + B*a*d*log(x) + B*b*c*log(x) + B*b*d*x**2/2)/e**5, Eq(m, -5)), ((-A*a*c/(2*x**2) + A*a*d*log(x) + A*b*c*log(x) + A*b*d*x**2/2 + B*a*c*log(x) + B*a*d*x**2/2 + B*b*c*x**2/2 + B*b*d*x**4/4)/e**3, Eq(m, -3)), ((A*a*c*log(x) + A*a*d*x**2/2 + A*b*c*x**2/2 + A*b*d*x**4/4 + B*a*c*x**2/2 + B*a*d*x**4/4 + B*b*c*x**4/4 + B*b*d*x**6/6)/e, Eq(m, -1)), (A*a*c*e**m*m**3*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 15*A*a*c*e**m*m**2*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 71*A*a*c*e**m*m*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 105*A*a*c*e**m*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + A*a*d*e**m*m**3*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 13*A*a*d*e**m*m**2*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 47*A*a*d*e**m*m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 35*A*a*d*e**m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + A*b*c*e**m*m**3*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 13*A*b*c*e**m*m**2*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 47*A*b*c*e**m*m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 35*A*b*c*e**m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + A*b*d*e**m*m**3*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 11*A*b*d*e**m*m**2*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 31*A*b*d*e**m*m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 21*A*b*d*e**m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + B*a*c*e**m*m**3*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 13*B*a*c*e**m*m**2*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 47*B*a*c*e**m*m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 35*B*a*c*e**m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + B*a*d*e**m*m**3*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 11*B*a*d*e**m*m**2*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 31*B*a*d*e**m*m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 21*B*a*d*e**m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + B*b*c*e**m*m**3*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 11*B*b*c*e**m*m**2*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 31*B*b*c*e**m*m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 21*B*b*c*e**m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + B*b*d*e**m*m**3*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 9*B*b*d*e**m*m**2*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 23*B*b*d*e**m*m*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 15*B*b*d*e**m*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105), True))","A",0
4,1,459,0,1.934830," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c),x)","\begin{cases} \frac{- \frac{A c}{4 x^{4}} - \frac{A d}{2 x^{2}} - \frac{B c}{2 x^{2}} + B d \log{\left(x \right)}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A c}{2 x^{2}} + A d \log{\left(x \right)} + B c \log{\left(x \right)} + \frac{B d x^{2}}{2}}{e^{3}} & \text{for}\: m = -3 \\\frac{A c \log{\left(x \right)} + \frac{A d x^{2}}{2} + \frac{B c x^{2}}{2} + \frac{B d x^{4}}{4}}{e} & \text{for}\: m = -1 \\\frac{A c e^{m} m^{2} x x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{8 A c e^{m} m x x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{15 A c e^{m} x x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{A d e^{m} m^{2} x^{3} x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{6 A d e^{m} m x^{3} x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{5 A d e^{m} x^{3} x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{B c e^{m} m^{2} x^{3} x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{6 B c e^{m} m x^{3} x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{5 B c e^{m} x^{3} x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{B d e^{m} m^{2} x^{5} x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{4 B d e^{m} m x^{5} x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} + \frac{3 B d e^{m} x^{5} x^{m}}{m^{3} + 9 m^{2} + 23 m + 15} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*c/(4*x**4) - A*d/(2*x**2) - B*c/(2*x**2) + B*d*log(x))/e**5, Eq(m, -5)), ((-A*c/(2*x**2) + A*d*log(x) + B*c*log(x) + B*d*x**2/2)/e**3, Eq(m, -3)), ((A*c*log(x) + A*d*x**2/2 + B*c*x**2/2 + B*d*x**4/4)/e, Eq(m, -1)), (A*c*e**m*m**2*x*x**m/(m**3 + 9*m**2 + 23*m + 15) + 8*A*c*e**m*m*x*x**m/(m**3 + 9*m**2 + 23*m + 15) + 15*A*c*e**m*x*x**m/(m**3 + 9*m**2 + 23*m + 15) + A*d*e**m*m**2*x**3*x**m/(m**3 + 9*m**2 + 23*m + 15) + 6*A*d*e**m*m*x**3*x**m/(m**3 + 9*m**2 + 23*m + 15) + 5*A*d*e**m*x**3*x**m/(m**3 + 9*m**2 + 23*m + 15) + B*c*e**m*m**2*x**3*x**m/(m**3 + 9*m**2 + 23*m + 15) + 6*B*c*e**m*m*x**3*x**m/(m**3 + 9*m**2 + 23*m + 15) + 5*B*c*e**m*x**3*x**m/(m**3 + 9*m**2 + 23*m + 15) + B*d*e**m*m**2*x**5*x**m/(m**3 + 9*m**2 + 23*m + 15) + 4*B*d*e**m*m*x**5*x**m/(m**3 + 9*m**2 + 23*m + 15) + 3*B*d*e**m*x**5*x**m/(m**3 + 9*m**2 + 23*m + 15), True))","A",0
5,1,428,0,11.544679," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)/(b*x**2+a),x)","\frac{A c e^{m} m x x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A c e^{m} x x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A d e^{m} m x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 A d e^{m} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{B c e^{m} m x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 B c e^{m} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{B d e^{m} m x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{5 B d e^{m} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}"," ",0,"A*c*e**m*m*x*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*a*gamma(m/2 + 3/2)) + A*c*e**m*x*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*a*gamma(m/2 + 3/2)) + A*d*e**m*m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*a*gamma(m/2 + 5/2)) + 3*A*d*e**m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*a*gamma(m/2 + 5/2)) + B*c*e**m*m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*a*gamma(m/2 + 5/2)) + 3*B*c*e**m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*a*gamma(m/2 + 5/2)) + B*d*e**m*m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*a*gamma(m/2 + 7/2)) + 5*B*d*e**m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*a*gamma(m/2 + 7/2))","C",0
6,1,2076,0,94.481944," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)/(b*x**2+a)**2,x)","A c \left(- \frac{a e^{m} m^{2} x x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{2 a e^{m} m x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{a e^{m} x x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{2 a e^{m} x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{b e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{b e^{m} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}\right) + A d \left(- \frac{a e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 a e^{m} m x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{2 a e^{m} m x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 a e^{m} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{6 a e^{m} x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{b e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 b e^{m} m x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 b e^{m} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}\right) + B c \left(- \frac{a e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 a e^{m} m x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{2 a e^{m} m x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 a e^{m} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{6 a e^{m} x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{b e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 b e^{m} m x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 b e^{m} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}\right) + B d \left(- \frac{a e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} - \frac{8 a e^{m} m x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{2 a e^{m} m x^{5} x^{m} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} - \frac{15 a e^{m} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{10 a e^{m} x^{5} x^{m} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} - \frac{b e^{m} m^{2} x^{7} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} - \frac{8 b e^{m} m x^{7} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} - \frac{15 b e^{m} x^{7} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 a^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 a^{2} b x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}\right)"," ",0,"A*c*(-a*e**m*m**2*x*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*a**3*gamma(m/2 + 3/2) + 8*a**2*b*x**2*gamma(m/2 + 3/2)) + 2*a*e**m*m*x*x**m*gamma(m/2 + 1/2)/(8*a**3*gamma(m/2 + 3/2) + 8*a**2*b*x**2*gamma(m/2 + 3/2)) + a*e**m*x*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*a**3*gamma(m/2 + 3/2) + 8*a**2*b*x**2*gamma(m/2 + 3/2)) + 2*a*e**m*x*x**m*gamma(m/2 + 1/2)/(8*a**3*gamma(m/2 + 3/2) + 8*a**2*b*x**2*gamma(m/2 + 3/2)) - b*e**m*m**2*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*a**3*gamma(m/2 + 3/2) + 8*a**2*b*x**2*gamma(m/2 + 3/2)) + b*e**m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*a**3*gamma(m/2 + 3/2) + 8*a**2*b*x**2*gamma(m/2 + 3/2))) + A*d*(-a*e**m*m**2*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) - 4*a*e**m*m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) + 2*a*e**m*m*x**3*x**m*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) - 3*a*e**m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) + 6*a*e**m*x**3*x**m*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) - b*e**m*m**2*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) - 4*b*e**m*m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) - 3*b*e**m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2))) + B*c*(-a*e**m*m**2*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) - 4*a*e**m*m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) + 2*a*e**m*m*x**3*x**m*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) - 3*a*e**m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) + 6*a*e**m*x**3*x**m*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) - b*e**m*m**2*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) - 4*b*e**m*m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2)) - 3*b*e**m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*a**3*gamma(m/2 + 5/2) + 8*a**2*b*x**2*gamma(m/2 + 5/2))) + B*d*(-a*e**m*m**2*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*a**3*gamma(m/2 + 7/2) + 8*a**2*b*x**2*gamma(m/2 + 7/2)) - 8*a*e**m*m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*a**3*gamma(m/2 + 7/2) + 8*a**2*b*x**2*gamma(m/2 + 7/2)) + 2*a*e**m*m*x**5*x**m*gamma(m/2 + 5/2)/(8*a**3*gamma(m/2 + 7/2) + 8*a**2*b*x**2*gamma(m/2 + 7/2)) - 15*a*e**m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*a**3*gamma(m/2 + 7/2) + 8*a**2*b*x**2*gamma(m/2 + 7/2)) + 10*a*e**m*x**5*x**m*gamma(m/2 + 5/2)/(8*a**3*gamma(m/2 + 7/2) + 8*a**2*b*x**2*gamma(m/2 + 7/2)) - b*e**m*m**2*x**7*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*a**3*gamma(m/2 + 7/2) + 8*a**2*b*x**2*gamma(m/2 + 7/2)) - 8*b*e**m*m*x**7*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*a**3*gamma(m/2 + 7/2) + 8*a**2*b*x**2*gamma(m/2 + 7/2)) - 15*b*e**m*x**7*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*a**3*gamma(m/2 + 7/2) + 8*a**2*b*x**2*gamma(m/2 + 7/2)))","C",0
7,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)/(b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,1,12199,0,13.413404," ","integrate((e*x)**m*(b*x**2+a)**3*(B*x**2+A)*(d*x**2+c)**2,x)","\begin{cases} \frac{- \frac{A a^{3} c^{2}}{12 x^{12}} - \frac{A a^{3} c d}{5 x^{10}} - \frac{A a^{3} d^{2}}{8 x^{8}} - \frac{3 A a^{2} b c^{2}}{10 x^{10}} - \frac{3 A a^{2} b c d}{4 x^{8}} - \frac{A a^{2} b d^{2}}{2 x^{6}} - \frac{3 A a b^{2} c^{2}}{8 x^{8}} - \frac{A a b^{2} c d}{x^{6}} - \frac{3 A a b^{2} d^{2}}{4 x^{4}} - \frac{A b^{3} c^{2}}{6 x^{6}} - \frac{A b^{3} c d}{2 x^{4}} - \frac{A b^{3} d^{2}}{2 x^{2}} - \frac{B a^{3} c^{2}}{10 x^{10}} - \frac{B a^{3} c d}{4 x^{8}} - \frac{B a^{3} d^{2}}{6 x^{6}} - \frac{3 B a^{2} b c^{2}}{8 x^{8}} - \frac{B a^{2} b c d}{x^{6}} - \frac{3 B a^{2} b d^{2}}{4 x^{4}} - \frac{B a b^{2} c^{2}}{2 x^{6}} - \frac{3 B a b^{2} c d}{2 x^{4}} - \frac{3 B a b^{2} d^{2}}{2 x^{2}} - \frac{B b^{3} c^{2}}{4 x^{4}} - \frac{B b^{3} c d}{x^{2}} + B b^{3} d^{2} \log{\left(x \right)}}{e^{13}} & \text{for}\: m = -13 \\\frac{- \frac{A a^{3} c^{2}}{10 x^{10}} - \frac{A a^{3} c d}{4 x^{8}} - \frac{A a^{3} d^{2}}{6 x^{6}} - \frac{3 A a^{2} b c^{2}}{8 x^{8}} - \frac{A a^{2} b c d}{x^{6}} - \frac{3 A a^{2} b d^{2}}{4 x^{4}} - \frac{A a b^{2} c^{2}}{2 x^{6}} - \frac{3 A a b^{2} c d}{2 x^{4}} - \frac{3 A a b^{2} d^{2}}{2 x^{2}} - \frac{A b^{3} c^{2}}{4 x^{4}} - \frac{A b^{3} c d}{x^{2}} + A b^{3} d^{2} \log{\left(x \right)} - \frac{B a^{3} c^{2}}{8 x^{8}} - \frac{B a^{3} c d}{3 x^{6}} - \frac{B a^{3} d^{2}}{4 x^{4}} - \frac{B a^{2} b c^{2}}{2 x^{6}} - \frac{3 B a^{2} b c d}{2 x^{4}} - \frac{3 B a^{2} b d^{2}}{2 x^{2}} - \frac{3 B a b^{2} c^{2}}{4 x^{4}} - \frac{3 B a b^{2} c d}{x^{2}} + 3 B a b^{2} d^{2} \log{\left(x \right)} - \frac{B b^{3} c^{2}}{2 x^{2}} + 2 B b^{3} c d \log{\left(x \right)} + \frac{B b^{3} d^{2} x^{2}}{2}}{e^{11}} & \text{for}\: m = -11 \\\frac{- \frac{A a^{3} c^{2}}{8 x^{8}} - \frac{A a^{3} c d}{3 x^{6}} - \frac{A a^{3} d^{2}}{4 x^{4}} - \frac{A a^{2} b c^{2}}{2 x^{6}} - \frac{3 A a^{2} b c d}{2 x^{4}} - \frac{3 A a^{2} b d^{2}}{2 x^{2}} - \frac{3 A a b^{2} c^{2}}{4 x^{4}} - \frac{3 A a b^{2} c d}{x^{2}} + 3 A a b^{2} d^{2} \log{\left(x \right)} - \frac{A b^{3} c^{2}}{2 x^{2}} + 2 A b^{3} c d \log{\left(x \right)} + \frac{A b^{3} d^{2} x^{2}}{2} - \frac{B a^{3} c^{2}}{6 x^{6}} - \frac{B a^{3} c d}{2 x^{4}} - \frac{B a^{3} d^{2}}{2 x^{2}} - \frac{3 B a^{2} b c^{2}}{4 x^{4}} - \frac{3 B a^{2} b c d}{x^{2}} + 3 B a^{2} b d^{2} \log{\left(x \right)} - \frac{3 B a b^{2} c^{2}}{2 x^{2}} + 6 B a b^{2} c d \log{\left(x \right)} + \frac{3 B a b^{2} d^{2} x^{2}}{2} + B b^{3} c^{2} \log{\left(x \right)} + B b^{3} c d x^{2} + \frac{B b^{3} d^{2} x^{4}}{4}}{e^{9}} & \text{for}\: m = -9 \\\frac{- \frac{A a^{3} c^{2}}{6 x^{6}} - \frac{A a^{3} c d}{2 x^{4}} - \frac{A a^{3} d^{2}}{2 x^{2}} - \frac{3 A a^{2} b c^{2}}{4 x^{4}} - \frac{3 A a^{2} b c d}{x^{2}} + 3 A a^{2} b d^{2} \log{\left(x \right)} - \frac{3 A a b^{2} c^{2}}{2 x^{2}} + 6 A a b^{2} c d \log{\left(x \right)} + \frac{3 A a b^{2} d^{2} x^{2}}{2} + A b^{3} c^{2} \log{\left(x \right)} + A b^{3} c d x^{2} + \frac{A b^{3} d^{2} x^{4}}{4} - \frac{B a^{3} c^{2}}{4 x^{4}} - \frac{B a^{3} c d}{x^{2}} + B a^{3} d^{2} \log{\left(x \right)} - \frac{3 B a^{2} b c^{2}}{2 x^{2}} + 6 B a^{2} b c d \log{\left(x \right)} + \frac{3 B a^{2} b d^{2} x^{2}}{2} + 3 B a b^{2} c^{2} \log{\left(x \right)} + 3 B a b^{2} c d x^{2} + \frac{3 B a b^{2} d^{2} x^{4}}{4} + \frac{B b^{3} c^{2} x^{2}}{2} + \frac{B b^{3} c d x^{4}}{2} + \frac{B b^{3} d^{2} x^{6}}{6}}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A a^{3} c^{2}}{4 x^{4}} - \frac{A a^{3} c d}{x^{2}} + A a^{3} d^{2} \log{\left(x \right)} - \frac{3 A a^{2} b c^{2}}{2 x^{2}} + 6 A a^{2} b c d \log{\left(x \right)} + \frac{3 A a^{2} b d^{2} x^{2}}{2} + 3 A a b^{2} c^{2} \log{\left(x \right)} + 3 A a b^{2} c d x^{2} + \frac{3 A a b^{2} d^{2} x^{4}}{4} + \frac{A b^{3} c^{2} x^{2}}{2} + \frac{A b^{3} c d x^{4}}{2} + \frac{A b^{3} d^{2} x^{6}}{6} - \frac{B a^{3} c^{2}}{2 x^{2}} + 2 B a^{3} c d \log{\left(x \right)} + \frac{B a^{3} d^{2} x^{2}}{2} + 3 B a^{2} b c^{2} \log{\left(x \right)} + 3 B a^{2} b c d x^{2} + \frac{3 B a^{2} b d^{2} x^{4}}{4} + \frac{3 B a b^{2} c^{2} x^{2}}{2} + \frac{3 B a b^{2} c d x^{4}}{2} + \frac{B a b^{2} d^{2} x^{6}}{2} + \frac{B b^{3} c^{2} x^{4}}{4} + \frac{B b^{3} c d x^{6}}{3} + \frac{B b^{3} d^{2} x^{8}}{8}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A a^{3} c^{2}}{2 x^{2}} + 2 A a^{3} c d \log{\left(x \right)} + \frac{A a^{3} d^{2} x^{2}}{2} + 3 A a^{2} b c^{2} \log{\left(x \right)} + 3 A a^{2} b c d x^{2} + \frac{3 A a^{2} b d^{2} x^{4}}{4} + \frac{3 A a b^{2} c^{2} x^{2}}{2} + \frac{3 A a b^{2} c d x^{4}}{2} + \frac{A a b^{2} d^{2} x^{6}}{2} + \frac{A b^{3} c^{2} x^{4}}{4} + \frac{A b^{3} c d x^{6}}{3} + \frac{A b^{3} d^{2} x^{8}}{8} + B a^{3} c^{2} \log{\left(x \right)} + B a^{3} c d x^{2} + \frac{B a^{3} d^{2} x^{4}}{4} + \frac{3 B a^{2} b c^{2} x^{2}}{2} + \frac{3 B a^{2} b c d x^{4}}{2} + \frac{B a^{2} b d^{2} x^{6}}{2} + \frac{3 B a b^{2} c^{2} x^{4}}{4} + B a b^{2} c d x^{6} + \frac{3 B a b^{2} d^{2} x^{8}}{8} + \frac{B b^{3} c^{2} x^{6}}{6} + \frac{B b^{3} c d x^{8}}{4} + \frac{B b^{3} d^{2} x^{10}}{10}}{e^{3}} & \text{for}\: m = -3 \\\frac{A a^{3} c^{2} \log{\left(x \right)} + A a^{3} c d x^{2} + \frac{A a^{3} d^{2} x^{4}}{4} + \frac{3 A a^{2} b c^{2} x^{2}}{2} + \frac{3 A a^{2} b c d x^{4}}{2} + \frac{A a^{2} b d^{2} x^{6}}{2} + \frac{3 A a b^{2} c^{2} x^{4}}{4} + A a b^{2} c d x^{6} + \frac{3 A a b^{2} d^{2} x^{8}}{8} + \frac{A b^{3} c^{2} x^{6}}{6} + \frac{A b^{3} c d x^{8}}{4} + \frac{A b^{3} d^{2} x^{10}}{10} + \frac{B a^{3} c^{2} x^{2}}{2} + \frac{B a^{3} c d x^{4}}{2} + \frac{B a^{3} d^{2} x^{6}}{6} + \frac{3 B a^{2} b c^{2} x^{4}}{4} + B a^{2} b c d x^{6} + \frac{3 B a^{2} b d^{2} x^{8}}{8} + \frac{B a b^{2} c^{2} x^{6}}{2} + \frac{3 B a b^{2} c d x^{8}}{4} + \frac{3 B a b^{2} d^{2} x^{10}}{10} + \frac{B b^{3} c^{2} x^{8}}{8} + \frac{B b^{3} c d x^{10}}{5} + \frac{B b^{3} d^{2} x^{12}}{12}}{e} & \text{for}\: m = -1 \\\frac{A a^{3} c^{2} e^{m} m^{6} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{48 A a^{3} c^{2} e^{m} m^{5} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{925 A a^{3} c^{2} e^{m} m^{4} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{9120 A a^{3} c^{2} e^{m} m^{3} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{48259 A a^{3} c^{2} e^{m} m^{2} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{129072 A a^{3} c^{2} e^{m} m x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{135135 A a^{3} c^{2} e^{m} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{2 A a^{3} c d e^{m} m^{6} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{92 A a^{3} c d e^{m} m^{5} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{1670 A a^{3} c d e^{m} m^{4} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{15080 A a^{3} c d e^{m} m^{3} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{69518 A a^{3} c d e^{m} m^{2} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{146108 A a^{3} c d e^{m} m x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{90090 A a^{3} c d e^{m} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{A a^{3} d^{2} e^{m} m^{6} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{44 A a^{3} d^{2} e^{m} m^{5} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{753 A a^{3} d^{2} e^{m} m^{4} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{6280 A a^{3} d^{2} e^{m} m^{3} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{25979 A a^{3} d^{2} e^{m} m^{2} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{47436 A a^{3} d^{2} e^{m} m x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{27027 A a^{3} d^{2} e^{m} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3 A a^{2} b c^{2} e^{m} m^{6} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{138 A a^{2} b c^{2} e^{m} m^{5} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{2505 A a^{2} b c^{2} e^{m} m^{4} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{22620 A a^{2} b c^{2} e^{m} m^{3} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{104277 A a^{2} b c^{2} e^{m} m^{2} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{219162 A a^{2} b c^{2} e^{m} m x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{135135 A a^{2} b c^{2} e^{m} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{6 A a^{2} b c d e^{m} m^{6} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{264 A a^{2} b c d e^{m} m^{5} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{4518 A a^{2} b c d e^{m} m^{4} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{37680 A a^{2} b c d e^{m} m^{3} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{155874 A a^{2} b c d e^{m} m^{2} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{284616 A a^{2} b c d e^{m} m x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{162162 A a^{2} b c d e^{m} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3 A a^{2} b d^{2} e^{m} m^{6} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{126 A a^{2} b d^{2} e^{m} m^{5} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{2037 A a^{2} b d^{2} e^{m} m^{4} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{15876 A a^{2} b d^{2} e^{m} m^{3} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{61005 A a^{2} b d^{2} e^{m} m^{2} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{104958 A a^{2} b d^{2} e^{m} m x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{57915 A a^{2} b d^{2} e^{m} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3 A a b^{2} c^{2} e^{m} m^{6} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{132 A a b^{2} c^{2} e^{m} m^{5} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{2259 A a b^{2} c^{2} e^{m} m^{4} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{18840 A a b^{2} c^{2} e^{m} m^{3} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{77937 A a b^{2} c^{2} e^{m} m^{2} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{142308 A a b^{2} c^{2} e^{m} m x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{81081 A a b^{2} c^{2} e^{m} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{6 A a b^{2} c d e^{m} m^{6} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{252 A a b^{2} c d e^{m} m^{5} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{4074 A a b^{2} c d e^{m} m^{4} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{31752 A a b^{2} c d e^{m} m^{3} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{122010 A a b^{2} c d e^{m} m^{2} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{209916 A a b^{2} c d e^{m} m x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{115830 A a b^{2} c d e^{m} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3 A a b^{2} d^{2} e^{m} m^{6} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{120 A a b^{2} d^{2} e^{m} m^{5} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{1839 A a b^{2} d^{2} e^{m} m^{4} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{13584 A a b^{2} d^{2} e^{m} m^{3} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{49881 A a b^{2} d^{2} e^{m} m^{2} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{83064 A a b^{2} d^{2} e^{m} m x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{45045 A a b^{2} d^{2} e^{m} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 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135135} + \frac{90090 B a b^{2} c d e^{m} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3 B a b^{2} d^{2} e^{m} m^{6} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{114 B a b^{2} d^{2} e^{m} m^{5} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{1665 B a b^{2} d^{2} e^{m} m^{4} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{11820 B a b^{2} d^{2} e^{m} m^{3} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{42117 B a b^{2} d^{2} e^{m} m^{2} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{68706 B a b^{2} d^{2} e^{m} m x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{36855 B a b^{2} d^{2} e^{m} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{B b^{3} c^{2} e^{m} m^{6} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{40 B b^{3} c^{2} e^{m} m^{5} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{613 B b^{3} c^{2} e^{m} m^{4} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{4528 B b^{3} c^{2} e^{m} m^{3} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{16627 B b^{3} c^{2} e^{m} m^{2} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{27688 B b^{3} c^{2} e^{m} m x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{15015 B b^{3} c^{2} e^{m} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{2 B b^{3} c d e^{m} m^{6} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{76 B b^{3} c d e^{m} m^{5} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{1110 B b^{3} c d e^{m} m^{4} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{7880 B b^{3} c d e^{m} m^{3} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{28078 B b^{3} c d e^{m} m^{2} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{45804 B b^{3} c d e^{m} m x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{24570 B b^{3} c d e^{m} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{B b^{3} d^{2} e^{m} m^{6} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{36 B b^{3} d^{2} e^{m} m^{5} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{505 B b^{3} d^{2} e^{m} m^{4} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3480 B b^{3} d^{2} e^{m} m^{3} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{12139 B b^{3} d^{2} e^{m} m^{2} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{19524 B b^{3} d^{2} e^{m} m x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{10395 B b^{3} d^{2} e^{m} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*a**3*c**2/(12*x**12) - A*a**3*c*d/(5*x**10) - A*a**3*d**2/(8*x**8) - 3*A*a**2*b*c**2/(10*x**10) - 3*A*a**2*b*c*d/(4*x**8) - A*a**2*b*d**2/(2*x**6) - 3*A*a*b**2*c**2/(8*x**8) - A*a*b**2*c*d/x**6 - 3*A*a*b**2*d**2/(4*x**4) - A*b**3*c**2/(6*x**6) - A*b**3*c*d/(2*x**4) - A*b**3*d**2/(2*x**2) - B*a**3*c**2/(10*x**10) - B*a**3*c*d/(4*x**8) - B*a**3*d**2/(6*x**6) - 3*B*a**2*b*c**2/(8*x**8) - B*a**2*b*c*d/x**6 - 3*B*a**2*b*d**2/(4*x**4) - B*a*b**2*c**2/(2*x**6) - 3*B*a*b**2*c*d/(2*x**4) - 3*B*a*b**2*d**2/(2*x**2) - B*b**3*c**2/(4*x**4) - B*b**3*c*d/x**2 + B*b**3*d**2*log(x))/e**13, Eq(m, -13)), ((-A*a**3*c**2/(10*x**10) - A*a**3*c*d/(4*x**8) - A*a**3*d**2/(6*x**6) - 3*A*a**2*b*c**2/(8*x**8) - A*a**2*b*c*d/x**6 - 3*A*a**2*b*d**2/(4*x**4) - A*a*b**2*c**2/(2*x**6) - 3*A*a*b**2*c*d/(2*x**4) - 3*A*a*b**2*d**2/(2*x**2) - A*b**3*c**2/(4*x**4) - A*b**3*c*d/x**2 + A*b**3*d**2*log(x) - B*a**3*c**2/(8*x**8) - B*a**3*c*d/(3*x**6) - B*a**3*d**2/(4*x**4) - B*a**2*b*c**2/(2*x**6) - 3*B*a**2*b*c*d/(2*x**4) - 3*B*a**2*b*d**2/(2*x**2) - 3*B*a*b**2*c**2/(4*x**4) - 3*B*a*b**2*c*d/x**2 + 3*B*a*b**2*d**2*log(x) - B*b**3*c**2/(2*x**2) + 2*B*b**3*c*d*log(x) + B*b**3*d**2*x**2/2)/e**11, Eq(m, -11)), ((-A*a**3*c**2/(8*x**8) - A*a**3*c*d/(3*x**6) - A*a**3*d**2/(4*x**4) - A*a**2*b*c**2/(2*x**6) - 3*A*a**2*b*c*d/(2*x**4) - 3*A*a**2*b*d**2/(2*x**2) - 3*A*a*b**2*c**2/(4*x**4) - 3*A*a*b**2*c*d/x**2 + 3*A*a*b**2*d**2*log(x) - A*b**3*c**2/(2*x**2) + 2*A*b**3*c*d*log(x) + A*b**3*d**2*x**2/2 - B*a**3*c**2/(6*x**6) - B*a**3*c*d/(2*x**4) - B*a**3*d**2/(2*x**2) - 3*B*a**2*b*c**2/(4*x**4) - 3*B*a**2*b*c*d/x**2 + 3*B*a**2*b*d**2*log(x) - 3*B*a*b**2*c**2/(2*x**2) + 6*B*a*b**2*c*d*log(x) + 3*B*a*b**2*d**2*x**2/2 + B*b**3*c**2*log(x) + B*b**3*c*d*x**2 + B*b**3*d**2*x**4/4)/e**9, Eq(m, -9)), ((-A*a**3*c**2/(6*x**6) - A*a**3*c*d/(2*x**4) - A*a**3*d**2/(2*x**2) - 3*A*a**2*b*c**2/(4*x**4) - 3*A*a**2*b*c*d/x**2 + 3*A*a**2*b*d**2*log(x) - 3*A*a*b**2*c**2/(2*x**2) + 6*A*a*b**2*c*d*log(x) + 3*A*a*b**2*d**2*x**2/2 + A*b**3*c**2*log(x) + A*b**3*c*d*x**2 + A*b**3*d**2*x**4/4 - B*a**3*c**2/(4*x**4) - B*a**3*c*d/x**2 + B*a**3*d**2*log(x) - 3*B*a**2*b*c**2/(2*x**2) + 6*B*a**2*b*c*d*log(x) + 3*B*a**2*b*d**2*x**2/2 + 3*B*a*b**2*c**2*log(x) + 3*B*a*b**2*c*d*x**2 + 3*B*a*b**2*d**2*x**4/4 + B*b**3*c**2*x**2/2 + B*b**3*c*d*x**4/2 + B*b**3*d**2*x**6/6)/e**7, Eq(m, -7)), ((-A*a**3*c**2/(4*x**4) - A*a**3*c*d/x**2 + A*a**3*d**2*log(x) - 3*A*a**2*b*c**2/(2*x**2) + 6*A*a**2*b*c*d*log(x) + 3*A*a**2*b*d**2*x**2/2 + 3*A*a*b**2*c**2*log(x) + 3*A*a*b**2*c*d*x**2 + 3*A*a*b**2*d**2*x**4/4 + A*b**3*c**2*x**2/2 + A*b**3*c*d*x**4/2 + A*b**3*d**2*x**6/6 - B*a**3*c**2/(2*x**2) + 2*B*a**3*c*d*log(x) + B*a**3*d**2*x**2/2 + 3*B*a**2*b*c**2*log(x) + 3*B*a**2*b*c*d*x**2 + 3*B*a**2*b*d**2*x**4/4 + 3*B*a*b**2*c**2*x**2/2 + 3*B*a*b**2*c*d*x**4/2 + B*a*b**2*d**2*x**6/2 + B*b**3*c**2*x**4/4 + B*b**3*c*d*x**6/3 + B*b**3*d**2*x**8/8)/e**5, Eq(m, -5)), ((-A*a**3*c**2/(2*x**2) + 2*A*a**3*c*d*log(x) + A*a**3*d**2*x**2/2 + 3*A*a**2*b*c**2*log(x) + 3*A*a**2*b*c*d*x**2 + 3*A*a**2*b*d**2*x**4/4 + 3*A*a*b**2*c**2*x**2/2 + 3*A*a*b**2*c*d*x**4/2 + A*a*b**2*d**2*x**6/2 + A*b**3*c**2*x**4/4 + A*b**3*c*d*x**6/3 + A*b**3*d**2*x**8/8 + B*a**3*c**2*log(x) + B*a**3*c*d*x**2 + B*a**3*d**2*x**4/4 + 3*B*a**2*b*c**2*x**2/2 + 3*B*a**2*b*c*d*x**4/2 + B*a**2*b*d**2*x**6/2 + 3*B*a*b**2*c**2*x**4/4 + B*a*b**2*c*d*x**6 + 3*B*a*b**2*d**2*x**8/8 + B*b**3*c**2*x**6/6 + B*b**3*c*d*x**8/4 + B*b**3*d**2*x**10/10)/e**3, Eq(m, -3)), ((A*a**3*c**2*log(x) + A*a**3*c*d*x**2 + A*a**3*d**2*x**4/4 + 3*A*a**2*b*c**2*x**2/2 + 3*A*a**2*b*c*d*x**4/2 + A*a**2*b*d**2*x**6/2 + 3*A*a*b**2*c**2*x**4/4 + A*a*b**2*c*d*x**6 + 3*A*a*b**2*d**2*x**8/8 + A*b**3*c**2*x**6/6 + A*b**3*c*d*x**8/4 + A*b**3*d**2*x**10/10 + B*a**3*c**2*x**2/2 + B*a**3*c*d*x**4/2 + B*a**3*d**2*x**6/6 + 3*B*a**2*b*c**2*x**4/4 + B*a**2*b*c*d*x**6 + 3*B*a**2*b*d**2*x**8/8 + B*a*b**2*c**2*x**6/2 + 3*B*a*b**2*c*d*x**8/4 + 3*B*a*b**2*d**2*x**10/10 + B*b**3*c**2*x**8/8 + B*b**3*c*d*x**10/5 + B*b**3*d**2*x**12/12)/e, Eq(m, -1)), (A*a**3*c**2*e**m*m**6*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 48*A*a**3*c**2*e**m*m**5*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 925*A*a**3*c**2*e**m*m**4*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 9120*A*a**3*c**2*e**m*m**3*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 48259*A*a**3*c**2*e**m*m**2*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 129072*A*a**3*c**2*e**m*m*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 135135*A*a**3*c**2*e**m*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 2*A*a**3*c*d*e**m*m**6*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 92*A*a**3*c*d*e**m*m**5*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 1670*A*a**3*c*d*e**m*m**4*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 15080*A*a**3*c*d*e**m*m**3*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 69518*A*a**3*c*d*e**m*m**2*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 146108*A*a**3*c*d*e**m*m*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 90090*A*a**3*c*d*e**m*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + A*a**3*d**2*e**m*m**6*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 44*A*a**3*d**2*e**m*m**5*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 753*A*a**3*d**2*e**m*m**4*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 6280*A*a**3*d**2*e**m*m**3*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 25979*A*a**3*d**2*e**m*m**2*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 47436*A*a**3*d**2*e**m*m*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 27027*A*a**3*d**2*e**m*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3*A*a**2*b*c**2*e**m*m**6*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) 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177331*m**2 + 264207*m + 135135) + 4518*A*a**2*b*c*d*e**m*m**4*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 37680*A*a**2*b*c*d*e**m*m**3*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 155874*A*a**2*b*c*d*e**m*m**2*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 284616*A*a**2*b*c*d*e**m*m*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 162162*A*a**2*b*c*d*e**m*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3*A*a**2*b*d**2*e**m*m**6*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 126*A*a**2*b*d**2*e**m*m**5*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 2037*A*a**2*b*d**2*e**m*m**4*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 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18840*B*a**2*b*c**2*e**m*m**3*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 77937*B*a**2*b*c**2*e**m*m**2*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 142308*B*a**2*b*c**2*e**m*m*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 81081*B*a**2*b*c**2*e**m*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 6*B*a**2*b*c*d*e**m*m**6*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 252*B*a**2*b*c*d*e**m*m**5*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 4074*B*a**2*b*c*d*e**m*m**4*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 31752*B*a**2*b*c*d*e**m*m**3*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 122010*B*a**2*b*c*d*e**m*m**2*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 209916*B*a**2*b*c*d*e**m*m*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 115830*B*a**2*b*c*d*e**m*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3*B*a**2*b*d**2*e**m*m**6*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 120*B*a**2*b*d**2*e**m*m**5*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 1839*B*a**2*b*d**2*e**m*m**4*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 13584*B*a**2*b*d**2*e**m*m**3*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 49881*B*a**2*b*d**2*e**m*m**2*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 83064*B*a**2*b*d**2*e**m*m*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 45045*B*a**2*b*d**2*e**m*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3*B*a*b**2*c**2*e**m*m**6*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 126*B*a*b**2*c**2*e**m*m**5*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 2037*B*a*b**2*c**2*e**m*m**4*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 15876*B*a*b**2*c**2*e**m*m**3*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 61005*B*a*b**2*c**2*e**m*m**2*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 104958*B*a*b**2*c**2*e**m*m*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 57915*B*a*b**2*c**2*e**m*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 6*B*a*b**2*c*d*e**m*m**6*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 240*B*a*b**2*c*d*e**m*m**5*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3678*B*a*b**2*c*d*e**m*m**4*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 27168*B*a*b**2*c*d*e**m*m**3*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 99762*B*a*b**2*c*d*e**m*m**2*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 166128*B*a*b**2*c*d*e**m*m*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 90090*B*a*b**2*c*d*e**m*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3*B*a*b**2*d**2*e**m*m**6*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 114*B*a*b**2*d**2*e**m*m**5*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 1665*B*a*b**2*d**2*e**m*m**4*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 11820*B*a*b**2*d**2*e**m*m**3*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 42117*B*a*b**2*d**2*e**m*m**2*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 68706*B*a*b**2*d**2*e**m*m*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 36855*B*a*b**2*d**2*e**m*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + B*b**3*c**2*e**m*m**6*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 40*B*b**3*c**2*e**m*m**5*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 613*B*b**3*c**2*e**m*m**4*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 4528*B*b**3*c**2*e**m*m**3*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 16627*B*b**3*c**2*e**m*m**2*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 27688*B*b**3*c**2*e**m*m*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 15015*B*b**3*c**2*e**m*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 2*B*b**3*c*d*e**m*m**6*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 76*B*b**3*c*d*e**m*m**5*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 1110*B*b**3*c*d*e**m*m**4*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 7880*B*b**3*c*d*e**m*m**3*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 28078*B*b**3*c*d*e**m*m**2*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 45804*B*b**3*c*d*e**m*m*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 24570*B*b**3*c*d*e**m*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + B*b**3*d**2*e**m*m**6*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 36*B*b**3*d**2*e**m*m**5*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 505*B*b**3*d**2*e**m*m**4*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3480*B*b**3*d**2*e**m*m**3*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 12139*B*b**3*d**2*e**m*m**2*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 19524*B*b**3*d**2*e**m*m*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 10395*B*b**3*d**2*e**m*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135), True))","A",0
9,1,7019,0,10.021032," ","integrate((e*x)**m*(b*x**2+a)**2*(B*x**2+A)*(d*x**2+c)**2,x)","\begin{cases} \frac{- \frac{A a^{2} c^{2}}{10 x^{10}} - \frac{A a^{2} c d}{4 x^{8}} - \frac{A a^{2} d^{2}}{6 x^{6}} - \frac{A a b c^{2}}{4 x^{8}} - \frac{2 A a b c d}{3 x^{6}} - \frac{A a b d^{2}}{2 x^{4}} - \frac{A b^{2} c^{2}}{6 x^{6}} - \frac{A b^{2} c d}{2 x^{4}} - \frac{A b^{2} d^{2}}{2 x^{2}} - \frac{B a^{2} c^{2}}{8 x^{8}} - \frac{B a^{2} c d}{3 x^{6}} - \frac{B a^{2} d^{2}}{4 x^{4}} - \frac{B a b c^{2}}{3 x^{6}} - \frac{B a b c d}{x^{4}} - \frac{B a b d^{2}}{x^{2}} - \frac{B b^{2} c^{2}}{4 x^{4}} - \frac{B b^{2} c d}{x^{2}} + B b^{2} d^{2} \log{\left(x \right)}}{e^{11}} & \text{for}\: m = -11 \\\frac{- \frac{A a^{2} c^{2}}{8 x^{8}} - \frac{A a^{2} c d}{3 x^{6}} - \frac{A a^{2} d^{2}}{4 x^{4}} - \frac{A a b c^{2}}{3 x^{6}} - \frac{A a b c d}{x^{4}} - \frac{A a b d^{2}}{x^{2}} - \frac{A b^{2} c^{2}}{4 x^{4}} - \frac{A b^{2} c d}{x^{2}} + A b^{2} d^{2} \log{\left(x \right)} - \frac{B a^{2} c^{2}}{6 x^{6}} - \frac{B a^{2} c d}{2 x^{4}} - \frac{B a^{2} d^{2}}{2 x^{2}} - \frac{B a b c^{2}}{2 x^{4}} - \frac{2 B a b c d}{x^{2}} + 2 B a b d^{2} \log{\left(x \right)} - \frac{B b^{2} c^{2}}{2 x^{2}} + 2 B b^{2} c d \log{\left(x \right)} + \frac{B b^{2} d^{2} x^{2}}{2}}{e^{9}} & \text{for}\: m = -9 \\\frac{- \frac{A a^{2} c^{2}}{6 x^{6}} - \frac{A a^{2} c d}{2 x^{4}} - \frac{A a^{2} d^{2}}{2 x^{2}} - \frac{A a b c^{2}}{2 x^{4}} - \frac{2 A a b c d}{x^{2}} + 2 A a b d^{2} \log{\left(x \right)} - \frac{A b^{2} c^{2}}{2 x^{2}} + 2 A b^{2} c d \log{\left(x \right)} + \frac{A b^{2} d^{2} x^{2}}{2} - \frac{B a^{2} c^{2}}{4 x^{4}} - \frac{B a^{2} c d}{x^{2}} + B a^{2} d^{2} \log{\left(x \right)} - \frac{B a b c^{2}}{x^{2}} + 4 B a b c d \log{\left(x \right)} + B a b d^{2} x^{2} + B b^{2} c^{2} \log{\left(x \right)} + B b^{2} c d x^{2} + \frac{B b^{2} d^{2} x^{4}}{4}}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A a^{2} c^{2}}{4 x^{4}} - \frac{A a^{2} c d}{x^{2}} + A a^{2} d^{2} \log{\left(x \right)} - \frac{A a b c^{2}}{x^{2}} + 4 A a b c d \log{\left(x \right)} + A a b d^{2} x^{2} + A b^{2} c^{2} \log{\left(x \right)} + A b^{2} c d x^{2} + \frac{A b^{2} d^{2} x^{4}}{4} - \frac{B a^{2} c^{2}}{2 x^{2}} + 2 B a^{2} c d \log{\left(x \right)} + \frac{B a^{2} d^{2} x^{2}}{2} + 2 B a b c^{2} \log{\left(x \right)} + 2 B a b c d x^{2} + \frac{B a b d^{2} x^{4}}{2} + \frac{B b^{2} c^{2} x^{2}}{2} + \frac{B b^{2} c d x^{4}}{2} + \frac{B b^{2} d^{2} x^{6}}{6}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A a^{2} c^{2}}{2 x^{2}} + 2 A a^{2} c d \log{\left(x \right)} + \frac{A a^{2} d^{2} x^{2}}{2} + 2 A a b c^{2} \log{\left(x \right)} + 2 A a b c d x^{2} + \frac{A a b d^{2} x^{4}}{2} + \frac{A b^{2} c^{2} x^{2}}{2} + \frac{A b^{2} c d x^{4}}{2} + \frac{A b^{2} d^{2} x^{6}}{6} + B a^{2} c^{2} \log{\left(x \right)} + B a^{2} c d x^{2} + \frac{B a^{2} d^{2} x^{4}}{4} + B a b c^{2} x^{2} + B a b c d x^{4} + \frac{B a b d^{2} x^{6}}{3} + \frac{B b^{2} c^{2} x^{4}}{4} + \frac{B b^{2} c d x^{6}}{3} + \frac{B b^{2} d^{2} x^{8}}{8}}{e^{3}} & \text{for}\: m = -3 \\\frac{A a^{2} c^{2} \log{\left(x \right)} + A a^{2} c d x^{2} + \frac{A a^{2} d^{2} x^{4}}{4} + A a b c^{2} x^{2} + A a b c d x^{4} + \frac{A a b d^{2} x^{6}}{3} + \frac{A b^{2} c^{2} x^{4}}{4} + \frac{A b^{2} c d x^{6}}{3} + \frac{A b^{2} d^{2} x^{8}}{8} + \frac{B a^{2} c^{2} x^{2}}{2} + \frac{B a^{2} c d x^{4}}{2} + \frac{B a^{2} d^{2} x^{6}}{6} + \frac{B a b c^{2} x^{4}}{2} + \frac{2 B a b c d x^{6}}{3} + \frac{B a b d^{2} x^{8}}{4} + \frac{B b^{2} c^{2} x^{6}}{6} + \frac{B b^{2} c d x^{8}}{4} + \frac{B b^{2} d^{2} x^{10}}{10}}{e} & \text{for}\: m = -1 \\\frac{A a^{2} c^{2} e^{m} m^{5} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{35 A a^{2} c^{2} e^{m} m^{4} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{470 A a^{2} c^{2} e^{m} m^{3} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3010 A a^{2} c^{2} e^{m} m^{2} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{9129 A a^{2} c^{2} e^{m} m x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10395 A a^{2} c^{2} e^{m} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 A a^{2} c d e^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{66 A a^{2} c d e^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{812 A a^{2} c d e^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4524 A a^{2} c d e^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10706 A a^{2} c d e^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6930 A a^{2} c d e^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{A a^{2} d^{2} e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{31 A a^{2} d^{2} e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{350 A a^{2} d^{2} e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1730 A a^{2} d^{2} e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3489 A a^{2} d^{2} e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2079 A a^{2} d^{2} e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 A a b c^{2} e^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{66 A a b c^{2} e^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{812 A a b c^{2} e^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4524 A a b c^{2} e^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10706 A a b c^{2} e^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6930 A a b c^{2} e^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4 A a b c d e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{124 A a b c d e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1400 A a b c d e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6920 A a b c d e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{13956 A a b c d e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{8316 A a b c d e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 A a b d^{2} e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{58 A a b d^{2} e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{604 A a b d^{2} e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2732 A a b d^{2} e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5154 A a b d^{2} e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2970 A a b d^{2} e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{A b^{2} c^{2} e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{31 A b^{2} c^{2} e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{350 A b^{2} c^{2} e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1730 A b^{2} c^{2} e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3489 A b^{2} c^{2} e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2079 A b^{2} c^{2} e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 A b^{2} c d e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{58 A b^{2} c d e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{604 A b^{2} c d e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2732 A b^{2} c d e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5154 A b^{2} c d e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2970 A b^{2} c d e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{A b^{2} d^{2} e^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{27 A b^{2} d^{2} e^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{262 A b^{2} d^{2} e^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1122 A b^{2} d^{2} e^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2041 A b^{2} d^{2} e^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1155 A b^{2} d^{2} e^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B a^{2} c^{2} e^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{33 B a^{2} c^{2} e^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{406 B a^{2} c^{2} e^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2262 B a^{2} c^{2} e^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5353 B a^{2} c^{2} e^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3465 B a^{2} c^{2} e^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 B a^{2} c d e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{62 B a^{2} c d e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{700 B a^{2} c d e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3460 B a^{2} c d e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6978 B a^{2} c d e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4158 B a^{2} c d e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B a^{2} d^{2} e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{29 B a^{2} d^{2} e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{302 B a^{2} d^{2} e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1366 B a^{2} d^{2} e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2577 B a^{2} d^{2} e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1485 B a^{2} d^{2} e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 B a b c^{2} e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{62 B a b c^{2} e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{700 B a b c^{2} e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3460 B a b c^{2} e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6978 B a b c^{2} e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4158 B a b c^{2} e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4 B a b c d e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{116 B a b c d e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1208 B a b c d e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5464 B a b c d e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10308 B a b c d e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5940 B a b c d e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 B a b d^{2} e^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{54 B a b d^{2} e^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{524 B a b d^{2} e^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2244 B a b d^{2} e^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4082 B a b d^{2} e^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2310 B a b d^{2} e^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B b^{2} c^{2} e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{29 B b^{2} c^{2} e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{302 B b^{2} c^{2} e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1366 B b^{2} c^{2} e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2577 B b^{2} c^{2} e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1485 B b^{2} c^{2} e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2 B b^{2} c d e^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{54 B b^{2} c d e^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{524 B b^{2} c d e^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2244 B b^{2} c d e^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4082 B b^{2} c d e^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2310 B b^{2} c d e^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B b^{2} d^{2} e^{m} m^{5} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{25 B b^{2} d^{2} e^{m} m^{4} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{230 B b^{2} d^{2} e^{m} m^{3} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{950 B b^{2} d^{2} e^{m} m^{2} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1689 B b^{2} d^{2} e^{m} m x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{945 B b^{2} d^{2} e^{m} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*a**2*c**2/(10*x**10) - A*a**2*c*d/(4*x**8) - A*a**2*d**2/(6*x**6) - A*a*b*c**2/(4*x**8) - 2*A*a*b*c*d/(3*x**6) - A*a*b*d**2/(2*x**4) - A*b**2*c**2/(6*x**6) - A*b**2*c*d/(2*x**4) - A*b**2*d**2/(2*x**2) - B*a**2*c**2/(8*x**8) - B*a**2*c*d/(3*x**6) - B*a**2*d**2/(4*x**4) - B*a*b*c**2/(3*x**6) - B*a*b*c*d/x**4 - B*a*b*d**2/x**2 - B*b**2*c**2/(4*x**4) - B*b**2*c*d/x**2 + B*b**2*d**2*log(x))/e**11, Eq(m, -11)), ((-A*a**2*c**2/(8*x**8) - A*a**2*c*d/(3*x**6) - A*a**2*d**2/(4*x**4) - A*a*b*c**2/(3*x**6) - A*a*b*c*d/x**4 - A*a*b*d**2/x**2 - A*b**2*c**2/(4*x**4) - A*b**2*c*d/x**2 + A*b**2*d**2*log(x) - B*a**2*c**2/(6*x**6) - B*a**2*c*d/(2*x**4) - B*a**2*d**2/(2*x**2) - B*a*b*c**2/(2*x**4) - 2*B*a*b*c*d/x**2 + 2*B*a*b*d**2*log(x) - B*b**2*c**2/(2*x**2) + 2*B*b**2*c*d*log(x) + B*b**2*d**2*x**2/2)/e**9, Eq(m, -9)), ((-A*a**2*c**2/(6*x**6) - A*a**2*c*d/(2*x**4) - A*a**2*d**2/(2*x**2) - A*a*b*c**2/(2*x**4) - 2*A*a*b*c*d/x**2 + 2*A*a*b*d**2*log(x) - A*b**2*c**2/(2*x**2) + 2*A*b**2*c*d*log(x) + A*b**2*d**2*x**2/2 - B*a**2*c**2/(4*x**4) - B*a**2*c*d/x**2 + B*a**2*d**2*log(x) - B*a*b*c**2/x**2 + 4*B*a*b*c*d*log(x) + B*a*b*d**2*x**2 + B*b**2*c**2*log(x) + B*b**2*c*d*x**2 + B*b**2*d**2*x**4/4)/e**7, Eq(m, -7)), ((-A*a**2*c**2/(4*x**4) - A*a**2*c*d/x**2 + A*a**2*d**2*log(x) - A*a*b*c**2/x**2 + 4*A*a*b*c*d*log(x) + A*a*b*d**2*x**2 + A*b**2*c**2*log(x) + A*b**2*c*d*x**2 + A*b**2*d**2*x**4/4 - B*a**2*c**2/(2*x**2) + 2*B*a**2*c*d*log(x) + B*a**2*d**2*x**2/2 + 2*B*a*b*c**2*log(x) + 2*B*a*b*c*d*x**2 + B*a*b*d**2*x**4/2 + B*b**2*c**2*x**2/2 + B*b**2*c*d*x**4/2 + B*b**2*d**2*x**6/6)/e**5, Eq(m, -5)), ((-A*a**2*c**2/(2*x**2) + 2*A*a**2*c*d*log(x) + A*a**2*d**2*x**2/2 + 2*A*a*b*c**2*log(x) + 2*A*a*b*c*d*x**2 + A*a*b*d**2*x**4/2 + A*b**2*c**2*x**2/2 + A*b**2*c*d*x**4/2 + A*b**2*d**2*x**6/6 + B*a**2*c**2*log(x) + B*a**2*c*d*x**2 + B*a**2*d**2*x**4/4 + B*a*b*c**2*x**2 + B*a*b*c*d*x**4 + B*a*b*d**2*x**6/3 + B*b**2*c**2*x**4/4 + B*b**2*c*d*x**6/3 + B*b**2*d**2*x**8/8)/e**3, Eq(m, -3)), ((A*a**2*c**2*log(x) + A*a**2*c*d*x**2 + A*a**2*d**2*x**4/4 + A*a*b*c**2*x**2 + A*a*b*c*d*x**4 + A*a*b*d**2*x**6/3 + A*b**2*c**2*x**4/4 + A*b**2*c*d*x**6/3 + A*b**2*d**2*x**8/8 + B*a**2*c**2*x**2/2 + B*a**2*c*d*x**4/2 + B*a**2*d**2*x**6/6 + B*a*b*c**2*x**4/2 + 2*B*a*b*c*d*x**6/3 + B*a*b*d**2*x**8/4 + B*b**2*c**2*x**6/6 + B*b**2*c*d*x**8/4 + B*b**2*d**2*x**10/10)/e, Eq(m, -1)), (A*a**2*c**2*e**m*m**5*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 35*A*a**2*c**2*e**m*m**4*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 470*A*a**2*c**2*e**m*m**3*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3010*A*a**2*c**2*e**m*m**2*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 9129*A*a**2*c**2*e**m*m*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10395*A*a**2*c**2*e**m*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*A*a**2*c*d*e**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 66*A*a**2*c*d*e**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 812*A*a**2*c*d*e**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4524*A*a**2*c*d*e**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10706*A*a**2*c*d*e**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6930*A*a**2*c*d*e**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + A*a**2*d**2*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 31*A*a**2*d**2*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 350*A*a**2*d**2*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1730*A*a**2*d**2*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3489*A*a**2*d**2*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2079*A*a**2*d**2*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*A*a*b*c**2*e**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 66*A*a*b*c**2*e**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 812*A*a*b*c**2*e**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4524*A*a*b*c**2*e**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10706*A*a*b*c**2*e**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6930*A*a*b*c**2*e**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4*A*a*b*c*d*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 124*A*a*b*c*d*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1400*A*a*b*c*d*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6920*A*a*b*c*d*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 13956*A*a*b*c*d*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 8316*A*a*b*c*d*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*A*a*b*d**2*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 58*A*a*b*d**2*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 604*A*a*b*d**2*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2732*A*a*b*d**2*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5154*A*a*b*d**2*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2970*A*a*b*d**2*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + A*b**2*c**2*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 31*A*b**2*c**2*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 350*A*b**2*c**2*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1730*A*b**2*c**2*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3489*A*b**2*c**2*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2079*A*b**2*c**2*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*A*b**2*c*d*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 58*A*b**2*c*d*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 604*A*b**2*c*d*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2732*A*b**2*c*d*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5154*A*b**2*c*d*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2970*A*b**2*c*d*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + A*b**2*d**2*e**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 27*A*b**2*d**2*e**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 262*A*b**2*d**2*e**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1122*A*b**2*d**2*e**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2041*A*b**2*d**2*e**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1155*A*b**2*d**2*e**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*a**2*c**2*e**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 33*B*a**2*c**2*e**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 406*B*a**2*c**2*e**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2262*B*a**2*c**2*e**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5353*B*a**2*c**2*e**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3465*B*a**2*c**2*e**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*B*a**2*c*d*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 62*B*a**2*c*d*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 700*B*a**2*c*d*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3460*B*a**2*c*d*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6978*B*a**2*c*d*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4158*B*a**2*c*d*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*a**2*d**2*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 29*B*a**2*d**2*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 302*B*a**2*d**2*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1366*B*a**2*d**2*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2577*B*a**2*d**2*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1485*B*a**2*d**2*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*B*a*b*c**2*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 62*B*a*b*c**2*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 700*B*a*b*c**2*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3460*B*a*b*c**2*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6978*B*a*b*c**2*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4158*B*a*b*c**2*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4*B*a*b*c*d*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 116*B*a*b*c*d*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1208*B*a*b*c*d*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5464*B*a*b*c*d*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10308*B*a*b*c*d*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5940*B*a*b*c*d*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*B*a*b*d**2*e**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 54*B*a*b*d**2*e**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 524*B*a*b*d**2*e**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2244*B*a*b*d**2*e**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4082*B*a*b*d**2*e**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2310*B*a*b*d**2*e**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*b**2*c**2*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 29*B*b**2*c**2*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 302*B*b**2*c**2*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1366*B*b**2*c**2*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2577*B*b**2*c**2*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1485*B*b**2*c**2*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2*B*b**2*c*d*e**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 54*B*b**2*c*d*e**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 524*B*b**2*c*d*e**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2244*B*b**2*c*d*e**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4082*B*b**2*c*d*e**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2310*B*b**2*c*d*e**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*b**2*d**2*e**m*m**5*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 25*B*b**2*d**2*e**m*m**4*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 230*B*b**2*d**2*e**m*m**3*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 950*B*b**2*d**2*e**m*m**2*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1689*B*b**2*d**2*e**m*m*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 945*B*b**2*d**2*e**m*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395), True))","A",0
10,1,3373,0,5.663696," ","integrate((e*x)**m*(b*x**2+a)*(B*x**2+A)*(d*x**2+c)**2,x)","\begin{cases} \frac{- \frac{A a c^{2}}{8 x^{8}} - \frac{A a c d}{3 x^{6}} - \frac{A a d^{2}}{4 x^{4}} - \frac{A b c^{2}}{6 x^{6}} - \frac{A b c d}{2 x^{4}} - \frac{A b d^{2}}{2 x^{2}} - \frac{B a c^{2}}{6 x^{6}} - \frac{B a c d}{2 x^{4}} - \frac{B a d^{2}}{2 x^{2}} - \frac{B b c^{2}}{4 x^{4}} - \frac{B b c d}{x^{2}} + B b d^{2} \log{\left(x \right)}}{e^{9}} & \text{for}\: m = -9 \\\frac{- \frac{A a c^{2}}{6 x^{6}} - \frac{A a c d}{2 x^{4}} - \frac{A a d^{2}}{2 x^{2}} - \frac{A b c^{2}}{4 x^{4}} - \frac{A b c d}{x^{2}} + A b d^{2} \log{\left(x \right)} - \frac{B a c^{2}}{4 x^{4}} - \frac{B a c d}{x^{2}} + B a d^{2} \log{\left(x \right)} - \frac{B b c^{2}}{2 x^{2}} + 2 B b c d \log{\left(x \right)} + \frac{B b d^{2} x^{2}}{2}}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A a c^{2}}{4 x^{4}} - \frac{A a c d}{x^{2}} + A a d^{2} \log{\left(x \right)} - \frac{A b c^{2}}{2 x^{2}} + 2 A b c d \log{\left(x \right)} + \frac{A b d^{2} x^{2}}{2} - \frac{B a c^{2}}{2 x^{2}} + 2 B a c d \log{\left(x \right)} + \frac{B a d^{2} x^{2}}{2} + B b c^{2} \log{\left(x \right)} + B b c d x^{2} + \frac{B b d^{2} x^{4}}{4}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A a c^{2}}{2 x^{2}} + 2 A a c d \log{\left(x \right)} + \frac{A a d^{2} x^{2}}{2} + A b c^{2} \log{\left(x \right)} + A b c d x^{2} + \frac{A b d^{2} x^{4}}{4} + B a c^{2} \log{\left(x \right)} + B a c d x^{2} + \frac{B a d^{2} x^{4}}{4} + \frac{B b c^{2} x^{2}}{2} + \frac{B b c d x^{4}}{2} + \frac{B b d^{2} x^{6}}{6}}{e^{3}} & \text{for}\: m = -3 \\\frac{A a c^{2} \log{\left(x \right)} + A a c d x^{2} + \frac{A a d^{2} x^{4}}{4} + \frac{A b c^{2} x^{2}}{2} + \frac{A b c d x^{4}}{2} + \frac{A b d^{2} x^{6}}{6} + \frac{B a c^{2} x^{2}}{2} + \frac{B a c d x^{4}}{2} + \frac{B a d^{2} x^{6}}{6} + \frac{B b c^{2} x^{4}}{4} + \frac{B b c d x^{6}}{3} + \frac{B b d^{2} x^{8}}{8}}{e} & \text{for}\: m = -1 \\\frac{A a c^{2} e^{m} m^{4} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{24 A a c^{2} e^{m} m^{3} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{206 A a c^{2} e^{m} m^{2} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{744 A a c^{2} e^{m} m x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{945 A a c^{2} e^{m} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{2 A a c d e^{m} m^{4} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{44 A a c d e^{m} m^{3} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{328 A a c d e^{m} m^{2} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{916 A a c d e^{m} m x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{630 A a c d e^{m} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{A a d^{2} e^{m} m^{4} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{20 A a d^{2} e^{m} m^{3} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{130 A a d^{2} e^{m} m^{2} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{300 A a d^{2} e^{m} m x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{189 A a d^{2} e^{m} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{A b c^{2} e^{m} m^{4} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{22 A b c^{2} e^{m} m^{3} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{164 A b c^{2} e^{m} m^{2} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{458 A b c^{2} e^{m} m x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{315 A b c^{2} e^{m} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{2 A b c d e^{m} m^{4} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{40 A b c d e^{m} m^{3} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{260 A b c d e^{m} m^{2} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{600 A b c d e^{m} m x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{378 A b c d e^{m} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{A b d^{2} e^{m} m^{4} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{18 A b d^{2} e^{m} m^{3} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{104 A b d^{2} e^{m} m^{2} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{222 A b d^{2} e^{m} m x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{135 A b d^{2} e^{m} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{B a c^{2} e^{m} m^{4} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{22 B a c^{2} e^{m} m^{3} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{164 B a c^{2} e^{m} m^{2} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{458 B a c^{2} e^{m} m x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{315 B a c^{2} e^{m} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{2 B a c d e^{m} m^{4} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{40 B a c d e^{m} m^{3} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{260 B a c d e^{m} m^{2} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{600 B a c d e^{m} m x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{378 B a c d e^{m} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{B a d^{2} e^{m} m^{4} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{18 B a d^{2} e^{m} m^{3} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{104 B a d^{2} e^{m} m^{2} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{222 B a d^{2} e^{m} m x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{135 B a d^{2} e^{m} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{B b c^{2} e^{m} m^{4} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{20 B b c^{2} e^{m} m^{3} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{130 B b c^{2} e^{m} m^{2} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{300 B b c^{2} e^{m} m x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{189 B b c^{2} e^{m} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{2 B b c d e^{m} m^{4} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{36 B b c d e^{m} m^{3} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{208 B b c d e^{m} m^{2} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{444 B b c d e^{m} m x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{270 B b c d e^{m} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{B b d^{2} e^{m} m^{4} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{16 B b d^{2} e^{m} m^{3} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{86 B b d^{2} e^{m} m^{2} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{176 B b d^{2} e^{m} m x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{105 B b d^{2} e^{m} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*a*c**2/(8*x**8) - A*a*c*d/(3*x**6) - A*a*d**2/(4*x**4) - A*b*c**2/(6*x**6) - A*b*c*d/(2*x**4) - A*b*d**2/(2*x**2) - B*a*c**2/(6*x**6) - B*a*c*d/(2*x**4) - B*a*d**2/(2*x**2) - B*b*c**2/(4*x**4) - B*b*c*d/x**2 + B*b*d**2*log(x))/e**9, Eq(m, -9)), ((-A*a*c**2/(6*x**6) - A*a*c*d/(2*x**4) - A*a*d**2/(2*x**2) - A*b*c**2/(4*x**4) - A*b*c*d/x**2 + A*b*d**2*log(x) - B*a*c**2/(4*x**4) - B*a*c*d/x**2 + B*a*d**2*log(x) - B*b*c**2/(2*x**2) + 2*B*b*c*d*log(x) + B*b*d**2*x**2/2)/e**7, Eq(m, -7)), ((-A*a*c**2/(4*x**4) - A*a*c*d/x**2 + A*a*d**2*log(x) - A*b*c**2/(2*x**2) + 2*A*b*c*d*log(x) + A*b*d**2*x**2/2 - B*a*c**2/(2*x**2) + 2*B*a*c*d*log(x) + B*a*d**2*x**2/2 + B*b*c**2*log(x) + B*b*c*d*x**2 + B*b*d**2*x**4/4)/e**5, Eq(m, -5)), ((-A*a*c**2/(2*x**2) + 2*A*a*c*d*log(x) + A*a*d**2*x**2/2 + A*b*c**2*log(x) + A*b*c*d*x**2 + A*b*d**2*x**4/4 + B*a*c**2*log(x) + B*a*c*d*x**2 + B*a*d**2*x**4/4 + B*b*c**2*x**2/2 + B*b*c*d*x**4/2 + B*b*d**2*x**6/6)/e**3, Eq(m, -3)), ((A*a*c**2*log(x) + A*a*c*d*x**2 + A*a*d**2*x**4/4 + A*b*c**2*x**2/2 + A*b*c*d*x**4/2 + A*b*d**2*x**6/6 + B*a*c**2*x**2/2 + B*a*c*d*x**4/2 + B*a*d**2*x**6/6 + B*b*c**2*x**4/4 + B*b*c*d*x**6/3 + B*b*d**2*x**8/8)/e, Eq(m, -1)), (A*a*c**2*e**m*m**4*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 24*A*a*c**2*e**m*m**3*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 206*A*a*c**2*e**m*m**2*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 744*A*a*c**2*e**m*m*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 945*A*a*c**2*e**m*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 2*A*a*c*d*e**m*m**4*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 44*A*a*c*d*e**m*m**3*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 328*A*a*c*d*e**m*m**2*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 916*A*a*c*d*e**m*m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 630*A*a*c*d*e**m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + A*a*d**2*e**m*m**4*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 20*A*a*d**2*e**m*m**3*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 130*A*a*d**2*e**m*m**2*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 300*A*a*d**2*e**m*m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 189*A*a*d**2*e**m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + A*b*c**2*e**m*m**4*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 22*A*b*c**2*e**m*m**3*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 164*A*b*c**2*e**m*m**2*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 458*A*b*c**2*e**m*m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 315*A*b*c**2*e**m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 2*A*b*c*d*e**m*m**4*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 40*A*b*c*d*e**m*m**3*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 260*A*b*c*d*e**m*m**2*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 600*A*b*c*d*e**m*m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 378*A*b*c*d*e**m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + A*b*d**2*e**m*m**4*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 18*A*b*d**2*e**m*m**3*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 104*A*b*d**2*e**m*m**2*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 222*A*b*d**2*e**m*m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 135*A*b*d**2*e**m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + B*a*c**2*e**m*m**4*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 22*B*a*c**2*e**m*m**3*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 164*B*a*c**2*e**m*m**2*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 458*B*a*c**2*e**m*m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 315*B*a*c**2*e**m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 2*B*a*c*d*e**m*m**4*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 40*B*a*c*d*e**m*m**3*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 260*B*a*c*d*e**m*m**2*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 600*B*a*c*d*e**m*m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 378*B*a*c*d*e**m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + B*a*d**2*e**m*m**4*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 18*B*a*d**2*e**m*m**3*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 104*B*a*d**2*e**m*m**2*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 222*B*a*d**2*e**m*m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 135*B*a*d**2*e**m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + B*b*c**2*e**m*m**4*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 20*B*b*c**2*e**m*m**3*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 130*B*b*c**2*e**m*m**2*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 300*B*b*c**2*e**m*m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 189*B*b*c**2*e**m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 2*B*b*c*d*e**m*m**4*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 36*B*b*c*d*e**m*m**3*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 208*B*b*c*d*e**m*m**2*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 444*B*b*c*d*e**m*m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 270*B*b*c*d*e**m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + B*b*d**2*e**m*m**4*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 16*B*b*d**2*e**m*m**3*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 86*B*b*d**2*e**m*m**2*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 176*B*b*d**2*e**m*m*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 105*B*b*d**2*e**m*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945), True))","A",0
11,1,1137,0,3.167069," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)**2,x)","\begin{cases} \frac{- \frac{A c^{2}}{6 x^{6}} - \frac{A c d}{2 x^{4}} - \frac{A d^{2}}{2 x^{2}} - \frac{B c^{2}}{4 x^{4}} - \frac{B c d}{x^{2}} + B d^{2} \log{\left(x \right)}}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A c^{2}}{4 x^{4}} - \frac{A c d}{x^{2}} + A d^{2} \log{\left(x \right)} - \frac{B c^{2}}{2 x^{2}} + 2 B c d \log{\left(x \right)} + \frac{B d^{2} x^{2}}{2}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A c^{2}}{2 x^{2}} + 2 A c d \log{\left(x \right)} + \frac{A d^{2} x^{2}}{2} + B c^{2} \log{\left(x \right)} + B c d x^{2} + \frac{B d^{2} x^{4}}{4}}{e^{3}} & \text{for}\: m = -3 \\\frac{A c^{2} \log{\left(x \right)} + A c d x^{2} + \frac{A d^{2} x^{4}}{4} + \frac{B c^{2} x^{2}}{2} + \frac{B c d x^{4}}{2} + \frac{B d^{2} x^{6}}{6}}{e} & \text{for}\: m = -1 \\\frac{A c^{2} e^{m} m^{3} x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{15 A c^{2} e^{m} m^{2} x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{71 A c^{2} e^{m} m x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{105 A c^{2} e^{m} x x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{2 A c d e^{m} m^{3} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{26 A c d e^{m} m^{2} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{94 A c d e^{m} m x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{70 A c d e^{m} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{A d^{2} e^{m} m^{3} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{11 A d^{2} e^{m} m^{2} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{31 A d^{2} e^{m} m x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{21 A d^{2} e^{m} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{B c^{2} e^{m} m^{3} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{13 B c^{2} e^{m} m^{2} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{47 B c^{2} e^{m} m x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{35 B c^{2} e^{m} x^{3} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{2 B c d e^{m} m^{3} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{22 B c d e^{m} m^{2} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{62 B c d e^{m} m x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{42 B c d e^{m} x^{5} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{B d^{2} e^{m} m^{3} x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{9 B d^{2} e^{m} m^{2} x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{23 B d^{2} e^{m} m x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} + \frac{15 B d^{2} e^{m} x^{7} x^{m}}{m^{4} + 16 m^{3} + 86 m^{2} + 176 m + 105} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*c**2/(6*x**6) - A*c*d/(2*x**4) - A*d**2/(2*x**2) - B*c**2/(4*x**4) - B*c*d/x**2 + B*d**2*log(x))/e**7, Eq(m, -7)), ((-A*c**2/(4*x**4) - A*c*d/x**2 + A*d**2*log(x) - B*c**2/(2*x**2) + 2*B*c*d*log(x) + B*d**2*x**2/2)/e**5, Eq(m, -5)), ((-A*c**2/(2*x**2) + 2*A*c*d*log(x) + A*d**2*x**2/2 + B*c**2*log(x) + B*c*d*x**2 + B*d**2*x**4/4)/e**3, Eq(m, -3)), ((A*c**2*log(x) + A*c*d*x**2 + A*d**2*x**4/4 + B*c**2*x**2/2 + B*c*d*x**4/2 + B*d**2*x**6/6)/e, Eq(m, -1)), (A*c**2*e**m*m**3*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 15*A*c**2*e**m*m**2*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 71*A*c**2*e**m*m*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 105*A*c**2*e**m*x*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 2*A*c*d*e**m*m**3*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 26*A*c*d*e**m*m**2*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 94*A*c*d*e**m*m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 70*A*c*d*e**m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + A*d**2*e**m*m**3*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 11*A*d**2*e**m*m**2*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 31*A*d**2*e**m*m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 21*A*d**2*e**m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + B*c**2*e**m*m**3*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 13*B*c**2*e**m*m**2*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 47*B*c**2*e**m*m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 35*B*c**2*e**m*x**3*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 2*B*c*d*e**m*m**3*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 22*B*c*d*e**m*m**2*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 62*B*c*d*e**m*m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 42*B*c*d*e**m*x**5*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + B*d**2*e**m*m**3*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 9*B*d**2*e**m*m**2*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 23*B*d**2*e**m*m*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105) + 15*B*d**2*e**m*x**7*x**m/(m**4 + 16*m**3 + 86*m**2 + 176*m + 105), True))","A",0
12,1,666,0,20.593190," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)**2/(b*x**2+a),x)","\frac{A c^{2} e^{m} m x x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A c^{2} e^{m} x x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A c d e^{m} m x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{2 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 A c d e^{m} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{2 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{A d^{2} e^{m} m x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{5 A d^{2} e^{m} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{B c^{2} e^{m} m x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 B c^{2} e^{m} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{B c d e^{m} m x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{2 a \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{5 B c d e^{m} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{2 a \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{B d^{2} e^{m} m x^{7} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{7 B d^{2} e^{m} x^{7} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)}"," ",0,"A*c**2*e**m*m*x*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*a*gamma(m/2 + 3/2)) + A*c**2*e**m*x*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*a*gamma(m/2 + 3/2)) + A*c*d*e**m*m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(2*a*gamma(m/2 + 5/2)) + 3*A*c*d*e**m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(2*a*gamma(m/2 + 5/2)) + A*d**2*e**m*m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*a*gamma(m/2 + 7/2)) + 5*A*d**2*e**m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*a*gamma(m/2 + 7/2)) + B*c**2*e**m*m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*a*gamma(m/2 + 5/2)) + 3*B*c**2*e**m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*a*gamma(m/2 + 5/2)) + B*c*d*e**m*m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(2*a*gamma(m/2 + 7/2)) + 5*B*c*d*e**m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(2*a*gamma(m/2 + 7/2)) + B*d**2*e**m*m*x**7*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*a*gamma(m/2 + 9/2)) + 7*B*d**2*e**m*x**7*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*a*gamma(m/2 + 9/2))","C",0
13,0,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)**2/(b*x**2+a)**2,x)","\int \frac{\left(e x\right)^{m} \left(A + B x^{2}\right) \left(c + d x^{2}\right)^{2}}{\left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral((e*x)**m*(A + B*x**2)*(c + d*x**2)**2/(a + b*x**2)**2, x)","F",0
14,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)**2/(b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**3*(B*x**2+A)*(d*x**2+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,1,12199,0,13.849056," ","integrate((e*x)**m*(b*x**2+a)**2*(B*x**2+A)*(d*x**2+c)**3,x)","\begin{cases} \frac{- \frac{A a^{2} c^{3}}{12 x^{12}} - \frac{3 A a^{2} c^{2} d}{10 x^{10}} - \frac{3 A a^{2} c d^{2}}{8 x^{8}} - \frac{A a^{2} d^{3}}{6 x^{6}} - \frac{A a b c^{3}}{5 x^{10}} - \frac{3 A a b c^{2} d}{4 x^{8}} - \frac{A a b c d^{2}}{x^{6}} - \frac{A a b d^{3}}{2 x^{4}} - \frac{A b^{2} c^{3}}{8 x^{8}} - \frac{A b^{2} c^{2} d}{2 x^{6}} - \frac{3 A b^{2} c d^{2}}{4 x^{4}} - \frac{A b^{2} d^{3}}{2 x^{2}} - \frac{B a^{2} c^{3}}{10 x^{10}} - \frac{3 B a^{2} c^{2} d}{8 x^{8}} - \frac{B a^{2} c d^{2}}{2 x^{6}} - \frac{B a^{2} d^{3}}{4 x^{4}} - \frac{B a b c^{3}}{4 x^{8}} - \frac{B a b c^{2} d}{x^{6}} - \frac{3 B a b c d^{2}}{2 x^{4}} - \frac{B a b d^{3}}{x^{2}} - \frac{B b^{2} c^{3}}{6 x^{6}} - \frac{3 B b^{2} c^{2} d}{4 x^{4}} - \frac{3 B b^{2} c d^{2}}{2 x^{2}} + B b^{2} d^{3} \log{\left(x \right)}}{e^{13}} & \text{for}\: m = -13 \\\frac{- \frac{A a^{2} c^{3}}{10 x^{10}} - \frac{3 A a^{2} c^{2} d}{8 x^{8}} - \frac{A a^{2} c d^{2}}{2 x^{6}} - \frac{A a^{2} d^{3}}{4 x^{4}} - \frac{A a b c^{3}}{4 x^{8}} - \frac{A a b c^{2} d}{x^{6}} - \frac{3 A a b c d^{2}}{2 x^{4}} - \frac{A a b d^{3}}{x^{2}} - \frac{A b^{2} c^{3}}{6 x^{6}} - \frac{3 A b^{2} c^{2} d}{4 x^{4}} - \frac{3 A b^{2} c d^{2}}{2 x^{2}} + A b^{2} d^{3} \log{\left(x \right)} - \frac{B a^{2} c^{3}}{8 x^{8}} - \frac{B a^{2} c^{2} d}{2 x^{6}} - \frac{3 B a^{2} c d^{2}}{4 x^{4}} - \frac{B a^{2} d^{3}}{2 x^{2}} - \frac{B a b c^{3}}{3 x^{6}} - \frac{3 B a b c^{2} d}{2 x^{4}} - \frac{3 B a b c d^{2}}{x^{2}} + 2 B a b d^{3} \log{\left(x \right)} - \frac{B b^{2} c^{3}}{4 x^{4}} - \frac{3 B b^{2} c^{2} d}{2 x^{2}} + 3 B b^{2} c d^{2} \log{\left(x \right)} + \frac{B b^{2} d^{3} x^{2}}{2}}{e^{11}} & \text{for}\: m = -11 \\\frac{- \frac{A a^{2} c^{3}}{8 x^{8}} - \frac{A a^{2} c^{2} d}{2 x^{6}} - \frac{3 A a^{2} c d^{2}}{4 x^{4}} - \frac{A a^{2} d^{3}}{2 x^{2}} - \frac{A a b c^{3}}{3 x^{6}} - \frac{3 A a b c^{2} d}{2 x^{4}} - \frac{3 A a b c d^{2}}{x^{2}} + 2 A a b d^{3} \log{\left(x \right)} - \frac{A b^{2} c^{3}}{4 x^{4}} - \frac{3 A b^{2} c^{2} d}{2 x^{2}} + 3 A b^{2} c d^{2} \log{\left(x \right)} + \frac{A b^{2} d^{3} x^{2}}{2} - \frac{B a^{2} c^{3}}{6 x^{6}} - \frac{3 B a^{2} c^{2} d}{4 x^{4}} - \frac{3 B a^{2} c d^{2}}{2 x^{2}} + B a^{2} d^{3} \log{\left(x \right)} - \frac{B a b c^{3}}{2 x^{4}} - \frac{3 B a b c^{2} d}{x^{2}} + 6 B a b c d^{2} \log{\left(x \right)} + B a b d^{3} x^{2} - \frac{B b^{2} c^{3}}{2 x^{2}} + 3 B b^{2} c^{2} d \log{\left(x \right)} + \frac{3 B b^{2} c d^{2} x^{2}}{2} + \frac{B b^{2} d^{3} x^{4}}{4}}{e^{9}} & \text{for}\: m = -9 \\\frac{- \frac{A a^{2} c^{3}}{6 x^{6}} - \frac{3 A a^{2} c^{2} d}{4 x^{4}} - \frac{3 A a^{2} c d^{2}}{2 x^{2}} + A a^{2} d^{3} \log{\left(x \right)} - \frac{A a b c^{3}}{2 x^{4}} - \frac{3 A a b c^{2} d}{x^{2}} + 6 A a b c d^{2} \log{\left(x \right)} + A a b d^{3} x^{2} - \frac{A b^{2} c^{3}}{2 x^{2}} + 3 A b^{2} c^{2} d \log{\left(x \right)} + \frac{3 A b^{2} c d^{2} x^{2}}{2} + \frac{A b^{2} d^{3} x^{4}}{4} - \frac{B a^{2} c^{3}}{4 x^{4}} - \frac{3 B a^{2} c^{2} d}{2 x^{2}} + 3 B a^{2} c d^{2} \log{\left(x \right)} + \frac{B a^{2} d^{3} x^{2}}{2} - \frac{B a b c^{3}}{x^{2}} + 6 B a b c^{2} d \log{\left(x \right)} + 3 B a b c d^{2} x^{2} + \frac{B a b d^{3} x^{4}}{2} + B b^{2} c^{3} \log{\left(x \right)} + \frac{3 B b^{2} c^{2} d x^{2}}{2} + \frac{3 B b^{2} c d^{2} x^{4}}{4} + \frac{B b^{2} d^{3} x^{6}}{6}}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A a^{2} c^{3}}{4 x^{4}} - \frac{3 A a^{2} c^{2} d}{2 x^{2}} + 3 A a^{2} c d^{2} \log{\left(x \right)} + \frac{A a^{2} d^{3} x^{2}}{2} - \frac{A a b c^{3}}{x^{2}} + 6 A a b c^{2} d \log{\left(x \right)} + 3 A a b c d^{2} x^{2} + \frac{A a b d^{3} x^{4}}{2} + A b^{2} c^{3} \log{\left(x \right)} + \frac{3 A b^{2} c^{2} d x^{2}}{2} + \frac{3 A b^{2} c d^{2} x^{4}}{4} + \frac{A b^{2} d^{3} x^{6}}{6} - \frac{B a^{2} c^{3}}{2 x^{2}} + 3 B a^{2} c^{2} d \log{\left(x \right)} + \frac{3 B a^{2} c d^{2} x^{2}}{2} + \frac{B a^{2} d^{3} x^{4}}{4} + 2 B a b c^{3} \log{\left(x \right)} + 3 B a b c^{2} d x^{2} + \frac{3 B a b c d^{2} x^{4}}{2} + \frac{B a b d^{3} x^{6}}{3} + \frac{B b^{2} c^{3} x^{2}}{2} + \frac{3 B b^{2} c^{2} d x^{4}}{4} + \frac{B b^{2} c d^{2} x^{6}}{2} + \frac{B b^{2} d^{3} x^{8}}{8}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A a^{2} c^{3}}{2 x^{2}} + 3 A a^{2} c^{2} d \log{\left(x \right)} + \frac{3 A a^{2} c d^{2} x^{2}}{2} + \frac{A a^{2} d^{3} x^{4}}{4} + 2 A a b c^{3} \log{\left(x \right)} + 3 A a b c^{2} d x^{2} + \frac{3 A a b c d^{2} x^{4}}{2} + \frac{A a b d^{3} x^{6}}{3} + \frac{A b^{2} c^{3} x^{2}}{2} + \frac{3 A b^{2} c^{2} d x^{4}}{4} + \frac{A b^{2} c d^{2} x^{6}}{2} + \frac{A b^{2} d^{3} x^{8}}{8} + B a^{2} c^{3} \log{\left(x \right)} + \frac{3 B a^{2} c^{2} d x^{2}}{2} + \frac{3 B a^{2} c d^{2} x^{4}}{4} + \frac{B a^{2} d^{3} x^{6}}{6} + B a b c^{3} x^{2} + \frac{3 B a b c^{2} d x^{4}}{2} + B a b c d^{2} x^{6} + \frac{B a b d^{3} x^{8}}{4} + \frac{B b^{2} c^{3} x^{4}}{4} + \frac{B b^{2} c^{2} d x^{6}}{2} + \frac{3 B b^{2} c d^{2} x^{8}}{8} + \frac{B b^{2} d^{3} x^{10}}{10}}{e^{3}} & \text{for}\: m = -3 \\\frac{A a^{2} c^{3} \log{\left(x \right)} + \frac{3 A a^{2} c^{2} d x^{2}}{2} + \frac{3 A a^{2} c d^{2} x^{4}}{4} + \frac{A a^{2} d^{3} x^{6}}{6} + A a b c^{3} x^{2} + \frac{3 A a b c^{2} d x^{4}}{2} + A a b c d^{2} x^{6} + \frac{A a b d^{3} x^{8}}{4} + \frac{A b^{2} c^{3} x^{4}}{4} + \frac{A b^{2} c^{2} d x^{6}}{2} + \frac{3 A b^{2} c d^{2} x^{8}}{8} + \frac{A b^{2} d^{3} x^{10}}{10} + \frac{B a^{2} c^{3} x^{2}}{2} + \frac{3 B a^{2} c^{2} d x^{4}}{4} + \frac{B a^{2} c d^{2} x^{6}}{2} + \frac{B a^{2} d^{3} x^{8}}{8} + \frac{B a b c^{3} x^{4}}{2} + B a b c^{2} d x^{6} + \frac{3 B a b c d^{2} x^{8}}{4} + \frac{B a b d^{3} x^{10}}{5} + \frac{B b^{2} c^{3} x^{6}}{6} + \frac{3 B b^{2} c^{2} d x^{8}}{8} + \frac{3 B b^{2} c d^{2} x^{10}}{10} + \frac{B b^{2} d^{3} x^{12}}{12}}{e} & \text{for}\: m = -1 \\\frac{A a^{2} c^{3} e^{m} m^{6} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{48 A a^{2} c^{3} e^{m} m^{5} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{925 A a^{2} c^{3} e^{m} m^{4} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{9120 A a^{2} c^{3} e^{m} m^{3} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{48259 A a^{2} c^{3} e^{m} m^{2} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{129072 A a^{2} c^{3} e^{m} m x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{135135 A a^{2} c^{3} e^{m} x x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3 A a^{2} c^{2} d e^{m} m^{6} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{138 A a^{2} c^{2} d e^{m} m^{5} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{2505 A a^{2} c^{2} d e^{m} m^{4} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{22620 A a^{2} c^{2} d e^{m} m^{3} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{104277 A a^{2} c^{2} d e^{m} m^{2} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{219162 A a^{2} c^{2} d e^{m} m x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{135135 A a^{2} c^{2} d e^{m} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3 A a^{2} c d^{2} e^{m} m^{6} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{132 A a^{2} c d^{2} e^{m} m^{5} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{2259 A a^{2} c d^{2} e^{m} m^{4} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{18840 A a^{2} c d^{2} e^{m} m^{3} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{77937 A a^{2} c d^{2} e^{m} m^{2} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{142308 A a^{2} c d^{2} e^{m} m x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{81081 A a^{2} c d^{2} e^{m} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{A a^{2} d^{3} e^{m} m^{6} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{42 A a^{2} d^{3} e^{m} m^{5} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{679 A a^{2} d^{3} e^{m} m^{4} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{5292 A a^{2} d^{3} e^{m} m^{3} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{20335 A a^{2} d^{3} e^{m} m^{2} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{34986 A a^{2} d^{3} e^{m} m x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{19305 A a^{2} d^{3} e^{m} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{2 A a b c^{3} e^{m} m^{6} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{92 A a b c^{3} e^{m} m^{5} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{1670 A a b c^{3} e^{m} m^{4} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{15080 A a b c^{3} e^{m} m^{3} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{69518 A a b c^{3} e^{m} m^{2} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{146108 A a b c^{3} e^{m} m x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{90090 A a b c^{3} e^{m} x^{3} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{6 A a b c^{2} d e^{m} m^{6} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{264 A a b c^{2} d e^{m} m^{5} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{4518 A a b c^{2} d e^{m} m^{4} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{37680 A a b c^{2} d e^{m} m^{3} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{155874 A a b c^{2} d e^{m} m^{2} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{284616 A a b c^{2} d e^{m} m x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{162162 A a b c^{2} d e^{m} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{6 A a b c d^{2} e^{m} m^{6} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{252 A a b c d^{2} e^{m} m^{5} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{4074 A a b c d^{2} e^{m} m^{4} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{31752 A a b c d^{2} e^{m} m^{3} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{122010 A a b c d^{2} e^{m} m^{2} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{209916 A a b c d^{2} e^{m} m x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{115830 A a b c d^{2} e^{m} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{2 A a b d^{3} e^{m} m^{6} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{80 A a b d^{3} e^{m} m^{5} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{1226 A a b d^{3} e^{m} m^{4} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{9056 A a b d^{3} e^{m} m^{3} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{33254 A a b d^{3} e^{m} m^{2} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{55376 A a b d^{3} e^{m} m x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{30030 A a b d^{3} e^{m} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{A b^{2} c^{3} e^{m} m^{6} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{44 A b^{2} c^{3} e^{m} m^{5} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{753 A b^{2} c^{3} e^{m} m^{4} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{6280 A b^{2} c^{3} e^{m} m^{3} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{25979 A b^{2} c^{3} e^{m} m^{2} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{47436 A b^{2} c^{3} e^{m} m x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{27027 A b^{2} c^{3} e^{m} x^{5} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3 A b^{2} c^{2} d e^{m} m^{6} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{126 A b^{2} c^{2} d e^{m} m^{5} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{2037 A b^{2} c^{2} d e^{m} m^{4} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{15876 A b^{2} c^{2} d e^{m} m^{3} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{61005 A b^{2} c^{2} d e^{m} m^{2} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{104958 A b^{2} c^{2} d e^{m} m x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{57915 A b^{2} c^{2} d e^{m} x^{7} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3 A b^{2} c d^{2} e^{m} m^{6} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{120 A b^{2} c d^{2} e^{m} m^{5} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{1839 A b^{2} c d^{2} e^{m} m^{4} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{13584 A b^{2} c d^{2} e^{m} m^{3} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{49881 A b^{2} c d^{2} e^{m} m^{2} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{83064 A b^{2} c d^{2} e^{m} m x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{45045 A b^{2} c d^{2} e^{m} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 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x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{B a^{2} d^{3} e^{m} m^{6} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{40 B a^{2} d^{3} e^{m} m^{5} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{613 B a^{2} d^{3} e^{m} m^{4} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{4528 B a^{2} d^{3} e^{m} m^{3} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{16627 B a^{2} d^{3} e^{m} m^{2} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{27688 B a^{2} d^{3} e^{m} m x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{15015 B a^{2} d^{3} e^{m} x^{9} 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\frac{45045 B b^{2} c^{2} d e^{m} x^{9} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3 B b^{2} c d^{2} e^{m} m^{6} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{114 B b^{2} c d^{2} e^{m} m^{5} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{1665 B b^{2} c d^{2} e^{m} m^{4} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{11820 B b^{2} c d^{2} e^{m} m^{3} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{42117 B b^{2} c d^{2} e^{m} m^{2} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{68706 B b^{2} c d^{2} e^{m} m x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{36855 B b^{2} c d^{2} e^{m} x^{11} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{B b^{2} d^{3} e^{m} m^{6} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{36 B b^{2} d^{3} e^{m} m^{5} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{505 B b^{2} d^{3} e^{m} m^{4} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{3480 B b^{2} d^{3} e^{m} m^{3} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{12139 B b^{2} d^{3} e^{m} m^{2} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{19524 B b^{2} d^{3} e^{m} m x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} + \frac{10395 B b^{2} d^{3} e^{m} x^{13} x^{m}}{m^{7} + 49 m^{6} + 973 m^{5} + 10045 m^{4} + 57379 m^{3} + 177331 m^{2} + 264207 m + 135135} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*a**2*c**3/(12*x**12) - 3*A*a**2*c**2*d/(10*x**10) - 3*A*a**2*c*d**2/(8*x**8) - A*a**2*d**3/(6*x**6) - A*a*b*c**3/(5*x**10) - 3*A*a*b*c**2*d/(4*x**8) - A*a*b*c*d**2/x**6 - A*a*b*d**3/(2*x**4) - A*b**2*c**3/(8*x**8) - A*b**2*c**2*d/(2*x**6) - 3*A*b**2*c*d**2/(4*x**4) - A*b**2*d**3/(2*x**2) - B*a**2*c**3/(10*x**10) - 3*B*a**2*c**2*d/(8*x**8) - B*a**2*c*d**2/(2*x**6) - B*a**2*d**3/(4*x**4) - B*a*b*c**3/(4*x**8) - B*a*b*c**2*d/x**6 - 3*B*a*b*c*d**2/(2*x**4) - B*a*b*d**3/x**2 - B*b**2*c**3/(6*x**6) - 3*B*b**2*c**2*d/(4*x**4) - 3*B*b**2*c*d**2/(2*x**2) + B*b**2*d**3*log(x))/e**13, Eq(m, -13)), ((-A*a**2*c**3/(10*x**10) - 3*A*a**2*c**2*d/(8*x**8) - A*a**2*c*d**2/(2*x**6) - A*a**2*d**3/(4*x**4) - A*a*b*c**3/(4*x**8) - A*a*b*c**2*d/x**6 - 3*A*a*b*c*d**2/(2*x**4) - A*a*b*d**3/x**2 - A*b**2*c**3/(6*x**6) - 3*A*b**2*c**2*d/(4*x**4) - 3*A*b**2*c*d**2/(2*x**2) + A*b**2*d**3*log(x) - B*a**2*c**3/(8*x**8) - B*a**2*c**2*d/(2*x**6) - 3*B*a**2*c*d**2/(4*x**4) - B*a**2*d**3/(2*x**2) - B*a*b*c**3/(3*x**6) - 3*B*a*b*c**2*d/(2*x**4) - 3*B*a*b*c*d**2/x**2 + 2*B*a*b*d**3*log(x) - B*b**2*c**3/(4*x**4) - 3*B*b**2*c**2*d/(2*x**2) + 3*B*b**2*c*d**2*log(x) + B*b**2*d**3*x**2/2)/e**11, Eq(m, -11)), ((-A*a**2*c**3/(8*x**8) - A*a**2*c**2*d/(2*x**6) - 3*A*a**2*c*d**2/(4*x**4) - A*a**2*d**3/(2*x**2) - A*a*b*c**3/(3*x**6) - 3*A*a*b*c**2*d/(2*x**4) - 3*A*a*b*c*d**2/x**2 + 2*A*a*b*d**3*log(x) - A*b**2*c**3/(4*x**4) - 3*A*b**2*c**2*d/(2*x**2) + 3*A*b**2*c*d**2*log(x) + A*b**2*d**3*x**2/2 - B*a**2*c**3/(6*x**6) - 3*B*a**2*c**2*d/(4*x**4) - 3*B*a**2*c*d**2/(2*x**2) + B*a**2*d**3*log(x) - B*a*b*c**3/(2*x**4) - 3*B*a*b*c**2*d/x**2 + 6*B*a*b*c*d**2*log(x) + B*a*b*d**3*x**2 - B*b**2*c**3/(2*x**2) + 3*B*b**2*c**2*d*log(x) + 3*B*b**2*c*d**2*x**2/2 + B*b**2*d**3*x**4/4)/e**9, Eq(m, -9)), ((-A*a**2*c**3/(6*x**6) - 3*A*a**2*c**2*d/(4*x**4) - 3*A*a**2*c*d**2/(2*x**2) + A*a**2*d**3*log(x) - A*a*b*c**3/(2*x**4) - 3*A*a*b*c**2*d/x**2 + 6*A*a*b*c*d**2*log(x) + A*a*b*d**3*x**2 - A*b**2*c**3/(2*x**2) + 3*A*b**2*c**2*d*log(x) + 3*A*b**2*c*d**2*x**2/2 + A*b**2*d**3*x**4/4 - B*a**2*c**3/(4*x**4) - 3*B*a**2*c**2*d/(2*x**2) + 3*B*a**2*c*d**2*log(x) + B*a**2*d**3*x**2/2 - B*a*b*c**3/x**2 + 6*B*a*b*c**2*d*log(x) + 3*B*a*b*c*d**2*x**2 + B*a*b*d**3*x**4/2 + B*b**2*c**3*log(x) + 3*B*b**2*c**2*d*x**2/2 + 3*B*b**2*c*d**2*x**4/4 + B*b**2*d**3*x**6/6)/e**7, Eq(m, -7)), ((-A*a**2*c**3/(4*x**4) - 3*A*a**2*c**2*d/(2*x**2) + 3*A*a**2*c*d**2*log(x) + A*a**2*d**3*x**2/2 - A*a*b*c**3/x**2 + 6*A*a*b*c**2*d*log(x) + 3*A*a*b*c*d**2*x**2 + A*a*b*d**3*x**4/2 + A*b**2*c**3*log(x) + 3*A*b**2*c**2*d*x**2/2 + 3*A*b**2*c*d**2*x**4/4 + A*b**2*d**3*x**6/6 - B*a**2*c**3/(2*x**2) + 3*B*a**2*c**2*d*log(x) + 3*B*a**2*c*d**2*x**2/2 + B*a**2*d**3*x**4/4 + 2*B*a*b*c**3*log(x) + 3*B*a*b*c**2*d*x**2 + 3*B*a*b*c*d**2*x**4/2 + B*a*b*d**3*x**6/3 + B*b**2*c**3*x**2/2 + 3*B*b**2*c**2*d*x**4/4 + B*b**2*c*d**2*x**6/2 + B*b**2*d**3*x**8/8)/e**5, Eq(m, -5)), ((-A*a**2*c**3/(2*x**2) + 3*A*a**2*c**2*d*log(x) + 3*A*a**2*c*d**2*x**2/2 + A*a**2*d**3*x**4/4 + 2*A*a*b*c**3*log(x) + 3*A*a*b*c**2*d*x**2 + 3*A*a*b*c*d**2*x**4/2 + A*a*b*d**3*x**6/3 + A*b**2*c**3*x**2/2 + 3*A*b**2*c**2*d*x**4/4 + A*b**2*c*d**2*x**6/2 + A*b**2*d**3*x**8/8 + B*a**2*c**3*log(x) + 3*B*a**2*c**2*d*x**2/2 + 3*B*a**2*c*d**2*x**4/4 + B*a**2*d**3*x**6/6 + B*a*b*c**3*x**2 + 3*B*a*b*c**2*d*x**4/2 + B*a*b*c*d**2*x**6 + B*a*b*d**3*x**8/4 + B*b**2*c**3*x**4/4 + B*b**2*c**2*d*x**6/2 + 3*B*b**2*c*d**2*x**8/8 + B*b**2*d**3*x**10/10)/e**3, Eq(m, -3)), ((A*a**2*c**3*log(x) + 3*A*a**2*c**2*d*x**2/2 + 3*A*a**2*c*d**2*x**4/4 + A*a**2*d**3*x**6/6 + A*a*b*c**3*x**2 + 3*A*a*b*c**2*d*x**4/2 + A*a*b*c*d**2*x**6 + A*a*b*d**3*x**8/4 + A*b**2*c**3*x**4/4 + A*b**2*c**2*d*x**6/2 + 3*A*b**2*c*d**2*x**8/8 + A*b**2*d**3*x**10/10 + B*a**2*c**3*x**2/2 + 3*B*a**2*c**2*d*x**4/4 + B*a**2*c*d**2*x**6/2 + B*a**2*d**3*x**8/8 + B*a*b*c**3*x**4/2 + B*a*b*c**2*d*x**6 + 3*B*a*b*c*d**2*x**8/4 + B*a*b*d**3*x**10/5 + B*b**2*c**3*x**6/6 + 3*B*b**2*c**2*d*x**8/8 + 3*B*b**2*c*d**2*x**10/10 + B*b**2*d**3*x**12/12)/e, Eq(m, -1)), (A*a**2*c**3*e**m*m**6*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 48*A*a**2*c**3*e**m*m**5*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 925*A*a**2*c**3*e**m*m**4*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 9120*A*a**2*c**3*e**m*m**3*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 48259*A*a**2*c**3*e**m*m**2*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 129072*A*a**2*c**3*e**m*m*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 135135*A*a**2*c**3*e**m*x*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3*A*a**2*c**2*d*e**m*m**6*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 138*A*a**2*c**2*d*e**m*m**5*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 2505*A*a**2*c**2*d*e**m*m**4*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 22620*A*a**2*c**2*d*e**m*m**3*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 104277*A*a**2*c**2*d*e**m*m**2*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 219162*A*a**2*c**2*d*e**m*m*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 135135*A*a**2*c**2*d*e**m*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3*A*a**2*c*d**2*e**m*m**6*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 132*A*a**2*c*d**2*e**m*m**5*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 2259*A*a**2*c*d**2*e**m*m**4*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 18840*A*a**2*c*d**2*e**m*m**3*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 77937*A*a**2*c*d**2*e**m*m**2*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 142308*A*a**2*c*d**2*e**m*m*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 81081*A*a**2*c*d**2*e**m*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + A*a**2*d**3*e**m*m**6*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 42*A*a**2*d**3*e**m*m**5*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 679*A*a**2*d**3*e**m*m**4*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 5292*A*a**2*d**3*e**m*m**3*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 20335*A*a**2*d**3*e**m*m**2*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 34986*A*a**2*d**3*e**m*m*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 19305*A*a**2*d**3*e**m*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 2*A*a*b*c**3*e**m*m**6*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 92*A*a*b*c**3*e**m*m**5*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 1670*A*a*b*c**3*e**m*m**4*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 15080*A*a*b*c**3*e**m*m**3*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 69518*A*a*b*c**3*e**m*m**2*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 146108*A*a*b*c**3*e**m*m*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 90090*A*a*b*c**3*e**m*x**3*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 6*A*a*b*c**2*d*e**m*m**6*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 264*A*a*b*c**2*d*e**m*m**5*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 4518*A*a*b*c**2*d*e**m*m**4*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 37680*A*a*b*c**2*d*e**m*m**3*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 155874*A*a*b*c**2*d*e**m*m**2*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 284616*A*a*b*c**2*d*e**m*m*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 162162*A*a*b*c**2*d*e**m*x**5*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 6*A*a*b*c*d**2*e**m*m**6*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 252*A*a*b*c*d**2*e**m*m**5*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 4074*A*a*b*c*d**2*e**m*m**4*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 31752*A*a*b*c*d**2*e**m*m**3*x**7*x**m/(m**7 + 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177331*m**2 + 264207*m + 135135) + 209916*B*a*b*c**2*d*e**m*m*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 115830*B*a*b*c**2*d*e**m*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 6*B*a*b*c*d**2*e**m*m**6*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 240*B*a*b*c*d**2*e**m*m**5*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3678*B*a*b*c*d**2*e**m*m**4*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 27168*B*a*b*c*d**2*e**m*m**3*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 99762*B*a*b*c*d**2*e**m*m**2*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 166128*B*a*b*c*d**2*e**m*m*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 90090*B*a*b*c*d**2*e**m*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 2*B*a*b*d**3*e**m*m**6*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 76*B*a*b*d**3*e**m*m**5*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 1110*B*a*b*d**3*e**m*m**4*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 7880*B*a*b*d**3*e**m*m**3*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 28078*B*a*b*d**3*e**m*m**2*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 45804*B*a*b*d**3*e**m*m*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 24570*B*a*b*d**3*e**m*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + B*b**2*c**3*e**m*m**6*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 42*B*b**2*c**3*e**m*m**5*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 679*B*b**2*c**3*e**m*m**4*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 5292*B*b**2*c**3*e**m*m**3*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 20335*B*b**2*c**3*e**m*m**2*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 34986*B*b**2*c**3*e**m*m*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 19305*B*b**2*c**3*e**m*x**7*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3*B*b**2*c**2*d*e**m*m**6*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 120*B*b**2*c**2*d*e**m*m**5*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 1839*B*b**2*c**2*d*e**m*m**4*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 13584*B*b**2*c**2*d*e**m*m**3*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 49881*B*b**2*c**2*d*e**m*m**2*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 83064*B*b**2*c**2*d*e**m*m*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 45045*B*b**2*c**2*d*e**m*x**9*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3*B*b**2*c*d**2*e**m*m**6*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 114*B*b**2*c*d**2*e**m*m**5*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 1665*B*b**2*c*d**2*e**m*m**4*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 11820*B*b**2*c*d**2*e**m*m**3*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 42117*B*b**2*c*d**2*e**m*m**2*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 68706*B*b**2*c*d**2*e**m*m*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 36855*B*b**2*c*d**2*e**m*x**11*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + B*b**2*d**3*e**m*m**6*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 36*B*b**2*d**3*e**m*m**5*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 505*B*b**2*d**3*e**m*m**4*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 3480*B*b**2*d**3*e**m*m**3*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 12139*B*b**2*d**3*e**m*m**2*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 19524*B*b**2*d**3*e**m*m*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135) + 10395*B*b**2*d**3*e**m*x**13*x**m/(m**7 + 49*m**6 + 973*m**5 + 10045*m**4 + 57379*m**3 + 177331*m**2 + 264207*m + 135135), True))","A",0
17,1,6156,0,8.210870," ","integrate((e*x)**m*(b*x**2+a)*(B*x**2+A)*(d*x**2+c)**3,x)","\begin{cases} \frac{- \frac{A a c^{3}}{10 x^{10}} - \frac{3 A a c^{2} d}{8 x^{8}} - \frac{A a c d^{2}}{2 x^{6}} - \frac{A a d^{3}}{4 x^{4}} - \frac{A b c^{3}}{8 x^{8}} - \frac{A b c^{2} d}{2 x^{6}} - \frac{3 A b c d^{2}}{4 x^{4}} - \frac{A b d^{3}}{2 x^{2}} - \frac{B a c^{3}}{8 x^{8}} - \frac{B a c^{2} d}{2 x^{6}} - \frac{3 B a c d^{2}}{4 x^{4}} - \frac{B a d^{3}}{2 x^{2}} - \frac{B b c^{3}}{6 x^{6}} - \frac{3 B b c^{2} d}{4 x^{4}} - \frac{3 B b c d^{2}}{2 x^{2}} + B b d^{3} \log{\left(x \right)}}{e^{11}} & \text{for}\: m = -11 \\\frac{- \frac{A a c^{3}}{8 x^{8}} - \frac{A a c^{2} d}{2 x^{6}} - \frac{3 A a c d^{2}}{4 x^{4}} - \frac{A a d^{3}}{2 x^{2}} - \frac{A b c^{3}}{6 x^{6}} - \frac{3 A b c^{2} d}{4 x^{4}} - \frac{3 A b c d^{2}}{2 x^{2}} + A b d^{3} \log{\left(x \right)} - \frac{B a c^{3}}{6 x^{6}} - \frac{3 B a c^{2} d}{4 x^{4}} - \frac{3 B a c d^{2}}{2 x^{2}} + B a d^{3} \log{\left(x \right)} - \frac{B b c^{3}}{4 x^{4}} - \frac{3 B b c^{2} d}{2 x^{2}} + 3 B b c d^{2} \log{\left(x \right)} + \frac{B b d^{3} x^{2}}{2}}{e^{9}} & \text{for}\: m = -9 \\\frac{- \frac{A a c^{3}}{6 x^{6}} - \frac{3 A a c^{2} d}{4 x^{4}} - \frac{3 A a c d^{2}}{2 x^{2}} + A a d^{3} \log{\left(x \right)} - \frac{A b c^{3}}{4 x^{4}} - \frac{3 A b c^{2} d}{2 x^{2}} + 3 A b c d^{2} \log{\left(x \right)} + \frac{A b d^{3} x^{2}}{2} - \frac{B a c^{3}}{4 x^{4}} - \frac{3 B a c^{2} d}{2 x^{2}} + 3 B a c d^{2} \log{\left(x \right)} + \frac{B a d^{3} x^{2}}{2} - \frac{B b c^{3}}{2 x^{2}} + 3 B b c^{2} d \log{\left(x \right)} + \frac{3 B b c d^{2} x^{2}}{2} + \frac{B b d^{3} x^{4}}{4}}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A a c^{3}}{4 x^{4}} - \frac{3 A a c^{2} d}{2 x^{2}} + 3 A a c d^{2} \log{\left(x \right)} + \frac{A a d^{3} x^{2}}{2} - \frac{A b c^{3}}{2 x^{2}} + 3 A b c^{2} d \log{\left(x \right)} + \frac{3 A b c d^{2} x^{2}}{2} + \frac{A b d^{3} x^{4}}{4} - \frac{B a c^{3}}{2 x^{2}} + 3 B a c^{2} d \log{\left(x \right)} + \frac{3 B a c d^{2} x^{2}}{2} + \frac{B a d^{3} x^{4}}{4} + B b c^{3} \log{\left(x \right)} + \frac{3 B b c^{2} d x^{2}}{2} + \frac{3 B b c d^{2} x^{4}}{4} + \frac{B b d^{3} x^{6}}{6}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A a c^{3}}{2 x^{2}} + 3 A a c^{2} d \log{\left(x \right)} + \frac{3 A a c d^{2} x^{2}}{2} + \frac{A a d^{3} x^{4}}{4} + A b c^{3} \log{\left(x \right)} + \frac{3 A b c^{2} d x^{2}}{2} + \frac{3 A b c d^{2} x^{4}}{4} + \frac{A b d^{3} x^{6}}{6} + B a c^{3} \log{\left(x \right)} + \frac{3 B a c^{2} d x^{2}}{2} + \frac{3 B a c d^{2} x^{4}}{4} + \frac{B a d^{3} x^{6}}{6} + \frac{B b c^{3} x^{2}}{2} + \frac{3 B b c^{2} d x^{4}}{4} + \frac{B b c d^{2} x^{6}}{2} + \frac{B b d^{3} x^{8}}{8}}{e^{3}} & \text{for}\: m = -3 \\\frac{A a c^{3} \log{\left(x \right)} + \frac{3 A a c^{2} d x^{2}}{2} + \frac{3 A a c d^{2} x^{4}}{4} + \frac{A a d^{3} x^{6}}{6} + \frac{A b c^{3} x^{2}}{2} + \frac{3 A b c^{2} d x^{4}}{4} + \frac{A b c d^{2} x^{6}}{2} + \frac{A b d^{3} x^{8}}{8} + \frac{B a c^{3} x^{2}}{2} + \frac{3 B a c^{2} d x^{4}}{4} + \frac{B a c d^{2} x^{6}}{2} + \frac{B a d^{3} x^{8}}{8} + \frac{B b c^{3} x^{4}}{4} + \frac{B b c^{2} d x^{6}}{2} + \frac{3 B b c d^{2} x^{8}}{8} + \frac{B b d^{3} x^{10}}{10}}{e} & \text{for}\: m = -1 \\\frac{A a c^{3} e^{m} m^{5} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{35 A a c^{3} e^{m} m^{4} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{470 A a c^{3} e^{m} m^{3} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3010 A a c^{3} e^{m} m^{2} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{9129 A a c^{3} e^{m} m x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10395 A a c^{3} e^{m} x x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 A a c^{2} d e^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{99 A a c^{2} d e^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1218 A a c^{2} d e^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6786 A a c^{2} d e^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{16059 A a c^{2} d e^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10395 A a c^{2} d e^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 A a c d^{2} e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{93 A a c d^{2} e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1050 A a c d^{2} e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5190 A a c d^{2} e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10467 A a c d^{2} e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6237 A a c d^{2} e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{A a d^{3} e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{29 A a d^{3} e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{302 A a d^{3} e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1366 A a d^{3} e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2577 A a d^{3} e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1485 A a d^{3} e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{A b c^{3} e^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{33 A b c^{3} e^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{406 A b c^{3} e^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2262 A b c^{3} e^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5353 A b c^{3} e^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3465 A b c^{3} e^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 A b c^{2} d e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{93 A b c^{2} d e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1050 A b c^{2} d e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5190 A b c^{2} d e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10467 A b c^{2} d e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6237 A b c^{2} d e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 A b c d^{2} e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{87 A b c d^{2} e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{906 A b c d^{2} e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4098 A b c d^{2} e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{7731 A b c d^{2} e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4455 A b c d^{2} e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{A b d^{3} e^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{27 A b d^{3} e^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{262 A b d^{3} e^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1122 A b d^{3} e^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2041 A b d^{3} e^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1155 A b d^{3} e^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B a c^{3} e^{m} m^{5} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{33 B a c^{3} e^{m} m^{4} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{406 B a c^{3} e^{m} m^{3} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2262 B a c^{3} e^{m} m^{2} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5353 B a c^{3} e^{m} m x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3465 B a c^{3} e^{m} x^{3} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 B a c^{2} d e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{93 B a c^{2} d e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1050 B a c^{2} d e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{5190 B a c^{2} d e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{10467 B a c^{2} d e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6237 B a c^{2} d e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 B a c d^{2} e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{87 B a c d^{2} e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{906 B a c d^{2} e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4098 B a c d^{2} e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{7731 B a c d^{2} e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4455 B a c d^{2} e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B a d^{3} e^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{27 B a d^{3} e^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{262 B a d^{3} e^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1122 B a d^{3} e^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2041 B a d^{3} e^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1155 B a d^{3} e^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B b c^{3} e^{m} m^{5} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{31 B b c^{3} e^{m} m^{4} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{350 B b c^{3} e^{m} m^{3} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1730 B b c^{3} e^{m} m^{2} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3489 B b c^{3} e^{m} m x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{2079 B b c^{3} e^{m} x^{5} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 B b c^{2} d e^{m} m^{5} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{87 B b c^{2} d e^{m} m^{4} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{906 B b c^{2} d e^{m} m^{3} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4098 B b c^{2} d e^{m} m^{2} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{7731 B b c^{2} d e^{m} m x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{4455 B b c^{2} d e^{m} x^{7} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3 B b c d^{2} e^{m} m^{5} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{81 B b c d^{2} e^{m} m^{4} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{786 B b c d^{2} e^{m} m^{3} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3366 B b c d^{2} e^{m} m^{2} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{6123 B b c d^{2} e^{m} m x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{3465 B b c d^{2} e^{m} x^{9} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{B b d^{3} e^{m} m^{5} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{25 B b d^{3} e^{m} m^{4} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{230 B b d^{3} e^{m} m^{3} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{950 B b d^{3} e^{m} m^{2} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{1689 B b d^{3} e^{m} m x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} + \frac{945 B b d^{3} e^{m} x^{11} x^{m}}{m^{6} + 36 m^{5} + 505 m^{4} + 3480 m^{3} + 12139 m^{2} + 19524 m + 10395} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*a*c**3/(10*x**10) - 3*A*a*c**2*d/(8*x**8) - A*a*c*d**2/(2*x**6) - A*a*d**3/(4*x**4) - A*b*c**3/(8*x**8) - A*b*c**2*d/(2*x**6) - 3*A*b*c*d**2/(4*x**4) - A*b*d**3/(2*x**2) - B*a*c**3/(8*x**8) - B*a*c**2*d/(2*x**6) - 3*B*a*c*d**2/(4*x**4) - B*a*d**3/(2*x**2) - B*b*c**3/(6*x**6) - 3*B*b*c**2*d/(4*x**4) - 3*B*b*c*d**2/(2*x**2) + B*b*d**3*log(x))/e**11, Eq(m, -11)), ((-A*a*c**3/(8*x**8) - A*a*c**2*d/(2*x**6) - 3*A*a*c*d**2/(4*x**4) - A*a*d**3/(2*x**2) - A*b*c**3/(6*x**6) - 3*A*b*c**2*d/(4*x**4) - 3*A*b*c*d**2/(2*x**2) + A*b*d**3*log(x) - B*a*c**3/(6*x**6) - 3*B*a*c**2*d/(4*x**4) - 3*B*a*c*d**2/(2*x**2) + B*a*d**3*log(x) - B*b*c**3/(4*x**4) - 3*B*b*c**2*d/(2*x**2) + 3*B*b*c*d**2*log(x) + B*b*d**3*x**2/2)/e**9, Eq(m, -9)), ((-A*a*c**3/(6*x**6) - 3*A*a*c**2*d/(4*x**4) - 3*A*a*c*d**2/(2*x**2) + A*a*d**3*log(x) - A*b*c**3/(4*x**4) - 3*A*b*c**2*d/(2*x**2) + 3*A*b*c*d**2*log(x) + A*b*d**3*x**2/2 - B*a*c**3/(4*x**4) - 3*B*a*c**2*d/(2*x**2) + 3*B*a*c*d**2*log(x) + B*a*d**3*x**2/2 - B*b*c**3/(2*x**2) + 3*B*b*c**2*d*log(x) + 3*B*b*c*d**2*x**2/2 + B*b*d**3*x**4/4)/e**7, Eq(m, -7)), ((-A*a*c**3/(4*x**4) - 3*A*a*c**2*d/(2*x**2) + 3*A*a*c*d**2*log(x) + A*a*d**3*x**2/2 - A*b*c**3/(2*x**2) + 3*A*b*c**2*d*log(x) + 3*A*b*c*d**2*x**2/2 + A*b*d**3*x**4/4 - B*a*c**3/(2*x**2) + 3*B*a*c**2*d*log(x) + 3*B*a*c*d**2*x**2/2 + B*a*d**3*x**4/4 + B*b*c**3*log(x) + 3*B*b*c**2*d*x**2/2 + 3*B*b*c*d**2*x**4/4 + B*b*d**3*x**6/6)/e**5, Eq(m, -5)), ((-A*a*c**3/(2*x**2) + 3*A*a*c**2*d*log(x) + 3*A*a*c*d**2*x**2/2 + A*a*d**3*x**4/4 + A*b*c**3*log(x) + 3*A*b*c**2*d*x**2/2 + 3*A*b*c*d**2*x**4/4 + A*b*d**3*x**6/6 + B*a*c**3*log(x) + 3*B*a*c**2*d*x**2/2 + 3*B*a*c*d**2*x**4/4 + B*a*d**3*x**6/6 + B*b*c**3*x**2/2 + 3*B*b*c**2*d*x**4/4 + B*b*c*d**2*x**6/2 + B*b*d**3*x**8/8)/e**3, Eq(m, -3)), ((A*a*c**3*log(x) + 3*A*a*c**2*d*x**2/2 + 3*A*a*c*d**2*x**4/4 + A*a*d**3*x**6/6 + A*b*c**3*x**2/2 + 3*A*b*c**2*d*x**4/4 + A*b*c*d**2*x**6/2 + A*b*d**3*x**8/8 + B*a*c**3*x**2/2 + 3*B*a*c**2*d*x**4/4 + B*a*c*d**2*x**6/2 + B*a*d**3*x**8/8 + B*b*c**3*x**4/4 + B*b*c**2*d*x**6/2 + 3*B*b*c*d**2*x**8/8 + B*b*d**3*x**10/10)/e, Eq(m, -1)), (A*a*c**3*e**m*m**5*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 35*A*a*c**3*e**m*m**4*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 470*A*a*c**3*e**m*m**3*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3010*A*a*c**3*e**m*m**2*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 9129*A*a*c**3*e**m*m*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10395*A*a*c**3*e**m*x*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*A*a*c**2*d*e**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 99*A*a*c**2*d*e**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1218*A*a*c**2*d*e**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6786*A*a*c**2*d*e**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 16059*A*a*c**2*d*e**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10395*A*a*c**2*d*e**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*A*a*c*d**2*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 93*A*a*c*d**2*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1050*A*a*c*d**2*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5190*A*a*c*d**2*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10467*A*a*c*d**2*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6237*A*a*c*d**2*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + A*a*d**3*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 29*A*a*d**3*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 302*A*a*d**3*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1366*A*a*d**3*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2577*A*a*d**3*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1485*A*a*d**3*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + A*b*c**3*e**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 33*A*b*c**3*e**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 406*A*b*c**3*e**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2262*A*b*c**3*e**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5353*A*b*c**3*e**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3465*A*b*c**3*e**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*A*b*c**2*d*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 93*A*b*c**2*d*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1050*A*b*c**2*d*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5190*A*b*c**2*d*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10467*A*b*c**2*d*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6237*A*b*c**2*d*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*A*b*c*d**2*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 87*A*b*c*d**2*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 906*A*b*c*d**2*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4098*A*b*c*d**2*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 7731*A*b*c*d**2*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4455*A*b*c*d**2*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + A*b*d**3*e**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 27*A*b*d**3*e**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 262*A*b*d**3*e**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1122*A*b*d**3*e**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2041*A*b*d**3*e**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1155*A*b*d**3*e**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*a*c**3*e**m*m**5*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 33*B*a*c**3*e**m*m**4*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 406*B*a*c**3*e**m*m**3*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2262*B*a*c**3*e**m*m**2*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5353*B*a*c**3*e**m*m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3465*B*a*c**3*e**m*x**3*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*B*a*c**2*d*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 93*B*a*c**2*d*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1050*B*a*c**2*d*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 5190*B*a*c**2*d*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 10467*B*a*c**2*d*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6237*B*a*c**2*d*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*B*a*c*d**2*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 87*B*a*c*d**2*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 906*B*a*c*d**2*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4098*B*a*c*d**2*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 7731*B*a*c*d**2*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4455*B*a*c*d**2*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*a*d**3*e**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 27*B*a*d**3*e**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 262*B*a*d**3*e**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1122*B*a*d**3*e**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2041*B*a*d**3*e**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1155*B*a*d**3*e**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*b*c**3*e**m*m**5*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 31*B*b*c**3*e**m*m**4*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 350*B*b*c**3*e**m*m**3*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1730*B*b*c**3*e**m*m**2*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3489*B*b*c**3*e**m*m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 2079*B*b*c**3*e**m*x**5*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*B*b*c**2*d*e**m*m**5*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 87*B*b*c**2*d*e**m*m**4*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 906*B*b*c**2*d*e**m*m**3*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4098*B*b*c**2*d*e**m*m**2*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 7731*B*b*c**2*d*e**m*m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 4455*B*b*c**2*d*e**m*x**7*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3*B*b*c*d**2*e**m*m**5*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 81*B*b*c*d**2*e**m*m**4*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 786*B*b*c*d**2*e**m*m**3*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3366*B*b*c*d**2*e**m*m**2*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 6123*B*b*c*d**2*e**m*m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 3465*B*b*c*d**2*e**m*x**9*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + B*b*d**3*e**m*m**5*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 25*B*b*d**3*e**m*m**4*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 230*B*b*d**3*e**m*m**3*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 950*B*b*d**3*e**m*m**2*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 1689*B*b*d**3*e**m*m*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395) + 945*B*b*d**3*e**m*x**11*x**m/(m**6 + 36*m**5 + 505*m**4 + 3480*m**3 + 12139*m**2 + 19524*m + 10395), True))","A",0
18,1,2220,0,8.510963," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)**3,x)","\begin{cases} \frac{- \frac{A c^{3}}{8 x^{8}} - \frac{A c^{2} d}{2 x^{6}} - \frac{3 A c d^{2}}{4 x^{4}} - \frac{A d^{3}}{2 x^{2}} - \frac{B c^{3}}{6 x^{6}} - \frac{3 B c^{2} d}{4 x^{4}} - \frac{3 B c d^{2}}{2 x^{2}} + B d^{3} \log{\left(x \right)}}{e^{9}} & \text{for}\: m = -9 \\\frac{- \frac{A c^{3}}{6 x^{6}} - \frac{3 A c^{2} d}{4 x^{4}} - \frac{3 A c d^{2}}{2 x^{2}} + A d^{3} \log{\left(x \right)} - \frac{B c^{3}}{4 x^{4}} - \frac{3 B c^{2} d}{2 x^{2}} + 3 B c d^{2} \log{\left(x \right)} + \frac{B d^{3} x^{2}}{2}}{e^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A c^{3}}{4 x^{4}} - \frac{3 A c^{2} d}{2 x^{2}} + 3 A c d^{2} \log{\left(x \right)} + \frac{A d^{3} x^{2}}{2} - \frac{B c^{3}}{2 x^{2}} + 3 B c^{2} d \log{\left(x \right)} + \frac{3 B c d^{2} x^{2}}{2} + \frac{B d^{3} x^{4}}{4}}{e^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A c^{3}}{2 x^{2}} + 3 A c^{2} d \log{\left(x \right)} + \frac{3 A c d^{2} x^{2}}{2} + \frac{A d^{3} x^{4}}{4} + B c^{3} \log{\left(x \right)} + \frac{3 B c^{2} d x^{2}}{2} + \frac{3 B c d^{2} x^{4}}{4} + \frac{B d^{3} x^{6}}{6}}{e^{3}} & \text{for}\: m = -3 \\\frac{A c^{3} \log{\left(x \right)} + \frac{3 A c^{2} d x^{2}}{2} + \frac{3 A c d^{2} x^{4}}{4} + \frac{A d^{3} x^{6}}{6} + \frac{B c^{3} x^{2}}{2} + \frac{3 B c^{2} d x^{4}}{4} + \frac{B c d^{2} x^{6}}{2} + \frac{B d^{3} x^{8}}{8}}{e} & \text{for}\: m = -1 \\\frac{A c^{3} e^{m} m^{4} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{24 A c^{3} e^{m} m^{3} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{206 A c^{3} e^{m} m^{2} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{744 A c^{3} e^{m} m x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{945 A c^{3} e^{m} x x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{3 A c^{2} d e^{m} m^{4} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{66 A c^{2} d e^{m} m^{3} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{492 A c^{2} d e^{m} m^{2} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{1374 A c^{2} d e^{m} m x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{945 A c^{2} d e^{m} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{3 A c d^{2} e^{m} m^{4} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{60 A c d^{2} e^{m} m^{3} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{390 A c d^{2} e^{m} m^{2} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{900 A c d^{2} e^{m} m x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{567 A c d^{2} e^{m} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{A d^{3} e^{m} m^{4} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{18 A d^{3} e^{m} m^{3} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{104 A d^{3} e^{m} m^{2} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{222 A d^{3} e^{m} m x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{135 A d^{3} e^{m} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{B c^{3} e^{m} m^{4} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{22 B c^{3} e^{m} m^{3} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{164 B c^{3} e^{m} m^{2} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{458 B c^{3} e^{m} m x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{315 B c^{3} e^{m} x^{3} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{3 B c^{2} d e^{m} m^{4} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{60 B c^{2} d e^{m} m^{3} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{390 B c^{2} d e^{m} m^{2} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{900 B c^{2} d e^{m} m x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{567 B c^{2} d e^{m} x^{5} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{3 B c d^{2} e^{m} m^{4} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{54 B c d^{2} e^{m} m^{3} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{312 B c d^{2} e^{m} m^{2} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{666 B c d^{2} e^{m} m x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{405 B c d^{2} e^{m} x^{7} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{B d^{3} e^{m} m^{4} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{16 B d^{3} e^{m} m^{3} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{86 B d^{3} e^{m} m^{2} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{176 B d^{3} e^{m} m x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} + \frac{105 B d^{3} e^{m} x^{9} x^{m}}{m^{5} + 25 m^{4} + 230 m^{3} + 950 m^{2} + 1689 m + 945} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*c**3/(8*x**8) - A*c**2*d/(2*x**6) - 3*A*c*d**2/(4*x**4) - A*d**3/(2*x**2) - B*c**3/(6*x**6) - 3*B*c**2*d/(4*x**4) - 3*B*c*d**2/(2*x**2) + B*d**3*log(x))/e**9, Eq(m, -9)), ((-A*c**3/(6*x**6) - 3*A*c**2*d/(4*x**4) - 3*A*c*d**2/(2*x**2) + A*d**3*log(x) - B*c**3/(4*x**4) - 3*B*c**2*d/(2*x**2) + 3*B*c*d**2*log(x) + B*d**3*x**2/2)/e**7, Eq(m, -7)), ((-A*c**3/(4*x**4) - 3*A*c**2*d/(2*x**2) + 3*A*c*d**2*log(x) + A*d**3*x**2/2 - B*c**3/(2*x**2) + 3*B*c**2*d*log(x) + 3*B*c*d**2*x**2/2 + B*d**3*x**4/4)/e**5, Eq(m, -5)), ((-A*c**3/(2*x**2) + 3*A*c**2*d*log(x) + 3*A*c*d**2*x**2/2 + A*d**3*x**4/4 + B*c**3*log(x) + 3*B*c**2*d*x**2/2 + 3*B*c*d**2*x**4/4 + B*d**3*x**6/6)/e**3, Eq(m, -3)), ((A*c**3*log(x) + 3*A*c**2*d*x**2/2 + 3*A*c*d**2*x**4/4 + A*d**3*x**6/6 + B*c**3*x**2/2 + 3*B*c**2*d*x**4/4 + B*c*d**2*x**6/2 + B*d**3*x**8/8)/e, Eq(m, -1)), (A*c**3*e**m*m**4*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 24*A*c**3*e**m*m**3*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 206*A*c**3*e**m*m**2*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 744*A*c**3*e**m*m*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 945*A*c**3*e**m*x*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 3*A*c**2*d*e**m*m**4*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 66*A*c**2*d*e**m*m**3*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 492*A*c**2*d*e**m*m**2*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 1374*A*c**2*d*e**m*m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 945*A*c**2*d*e**m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 3*A*c*d**2*e**m*m**4*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 60*A*c*d**2*e**m*m**3*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 390*A*c*d**2*e**m*m**2*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 900*A*c*d**2*e**m*m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 567*A*c*d**2*e**m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + A*d**3*e**m*m**4*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 18*A*d**3*e**m*m**3*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 104*A*d**3*e**m*m**2*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 222*A*d**3*e**m*m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 135*A*d**3*e**m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + B*c**3*e**m*m**4*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 22*B*c**3*e**m*m**3*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 164*B*c**3*e**m*m**2*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 458*B*c**3*e**m*m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 315*B*c**3*e**m*x**3*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 3*B*c**2*d*e**m*m**4*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 60*B*c**2*d*e**m*m**3*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 390*B*c**2*d*e**m*m**2*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 900*B*c**2*d*e**m*m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 567*B*c**2*d*e**m*x**5*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 3*B*c*d**2*e**m*m**4*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 54*B*c*d**2*e**m*m**3*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 312*B*c*d**2*e**m*m**2*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 666*B*c*d**2*e**m*m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 405*B*c*d**2*e**m*x**7*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + B*d**3*e**m*m**4*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 16*B*d**3*e**m*m**3*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 86*B*d**3*e**m*m**2*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 176*B*d**3*e**m*m*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945) + 105*B*d**3*e**m*x**9*x**m/(m**5 + 25*m**4 + 230*m**3 + 950*m**2 + 1689*m + 945), True))","A",0
19,1,911,0,29.054136," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)**3/(b*x**2+a),x)","\frac{A c^{3} e^{m} m x x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A c^{3} e^{m} x x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{3 A c^{2} d e^{m} m x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{9 A c^{2} d e^{m} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 A c d^{2} e^{m} m x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{15 A c d^{2} e^{m} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{A d^{3} e^{m} m x^{7} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{7 A d^{3} e^{m} x^{7} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{B c^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 B c^{3} e^{m} x^{3} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 B c^{2} d e^{m} m x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{15 B c^{2} d e^{m} x^{5} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{3 B c d^{2} e^{m} m x^{7} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{21 B c d^{2} e^{m} x^{7} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{B d^{3} e^{m} m x^{9} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{9}{2}\right) \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{11}{2}\right)} + \frac{9 B d^{3} e^{m} x^{9} x^{m} \Phi\left(\frac{b x^{2} e^{i \pi}}{a}, 1, \frac{m}{2} + \frac{9}{2}\right) \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)}{4 a \Gamma\left(\frac{m}{2} + \frac{11}{2}\right)}"," ",0,"A*c**3*e**m*m*x*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*a*gamma(m/2 + 3/2)) + A*c**3*e**m*x*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*a*gamma(m/2 + 3/2)) + 3*A*c**2*d*e**m*m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*a*gamma(m/2 + 5/2)) + 9*A*c**2*d*e**m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*a*gamma(m/2 + 5/2)) + 3*A*c*d**2*e**m*m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*a*gamma(m/2 + 7/2)) + 15*A*c*d**2*e**m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*a*gamma(m/2 + 7/2)) + A*d**3*e**m*m*x**7*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*a*gamma(m/2 + 9/2)) + 7*A*d**3*e**m*x**7*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*a*gamma(m/2 + 9/2)) + B*c**3*e**m*m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*a*gamma(m/2 + 5/2)) + 3*B*c**3*e**m*x**3*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*a*gamma(m/2 + 5/2)) + 3*B*c**2*d*e**m*m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*a*gamma(m/2 + 7/2)) + 15*B*c**2*d*e**m*x**5*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*a*gamma(m/2 + 7/2)) + 3*B*c*d**2*e**m*m*x**7*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*a*gamma(m/2 + 9/2)) + 21*B*c*d**2*e**m*x**7*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*a*gamma(m/2 + 9/2)) + B*d**3*e**m*m*x**9*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 9/2)*gamma(m/2 + 9/2)/(4*a*gamma(m/2 + 11/2)) + 9*B*d**3*e**m*x**9*x**m*lerchphi(b*x**2*exp_polar(I*pi)/a, 1, m/2 + 9/2)*gamma(m/2 + 9/2)/(4*a*gamma(m/2 + 11/2))","C",0
20,0,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)**3/(b*x**2+a)**2,x)","\int \frac{\left(e x\right)^{m} \left(A + B x^{2}\right) \left(c + d x^{2}\right)^{3}}{\left(a + b x^{2}\right)^{2}}\, dx"," ",0,"Integral((e*x)**m*(A + B*x**2)*(c + d*x**2)**3/(a + b*x**2)**2, x)","F",0
21,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)*(d*x**2+c)**3/(b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,1,1132,0,61.958844," ","integrate((e*x)**m*(b*x**2+a)**4*(B*x**2+A)/(d*x**2+c),x)","\frac{A a^{4} e^{m} m x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A a^{4} e^{m} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A a^{3} b e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 A a^{3} b e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 A a^{2} b^{2} e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{2 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{15 A a^{2} b^{2} e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{2 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{A a b^{3} e^{m} m x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{c \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{7 A a b^{3} e^{m} x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{c \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{A b^{4} e^{m} m x^{9} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{9}{2}\right) \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{11}{2}\right)} + \frac{9 A b^{4} e^{m} x^{9} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{9}{2}\right) \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{11}{2}\right)} + \frac{B a^{4} e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 B a^{4} e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{B a^{3} b e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{5 B a^{3} b e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{3 B a^{2} b^{2} e^{m} m x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{2 c \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{21 B a^{2} b^{2} e^{m} x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{2 c \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{B a b^{3} e^{m} m x^{9} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{9}{2}\right) \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)}{c \Gamma\left(\frac{m}{2} + \frac{11}{2}\right)} + \frac{9 B a b^{3} e^{m} x^{9} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{9}{2}\right) \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)}{c \Gamma\left(\frac{m}{2} + \frac{11}{2}\right)} + \frac{B b^{4} e^{m} m x^{11} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{11}{2}\right) \Gamma\left(\frac{m}{2} + \frac{11}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{13}{2}\right)} + \frac{11 B b^{4} e^{m} x^{11} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{11}{2}\right) \Gamma\left(\frac{m}{2} + \frac{11}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{13}{2}\right)}"," ",0,"A*a**4*e**m*m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*c*gamma(m/2 + 3/2)) + A*a**4*e**m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*c*gamma(m/2 + 3/2)) + A*a**3*b*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(c*gamma(m/2 + 5/2)) + 3*A*a**3*b*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(c*gamma(m/2 + 5/2)) + 3*A*a**2*b**2*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(2*c*gamma(m/2 + 7/2)) + 15*A*a**2*b**2*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(2*c*gamma(m/2 + 7/2)) + A*a*b**3*e**m*m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(c*gamma(m/2 + 9/2)) + 7*A*a*b**3*e**m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(c*gamma(m/2 + 9/2)) + A*b**4*e**m*m*x**9*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 9/2)*gamma(m/2 + 9/2)/(4*c*gamma(m/2 + 11/2)) + 9*A*b**4*e**m*x**9*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 9/2)*gamma(m/2 + 9/2)/(4*c*gamma(m/2 + 11/2)) + B*a**4*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + 3*B*a**4*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + B*a**3*b*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(c*gamma(m/2 + 7/2)) + 5*B*a**3*b*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(c*gamma(m/2 + 7/2)) + 3*B*a**2*b**2*e**m*m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(2*c*gamma(m/2 + 9/2)) + 21*B*a**2*b**2*e**m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(2*c*gamma(m/2 + 9/2)) + B*a*b**3*e**m*m*x**9*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 9/2)*gamma(m/2 + 9/2)/(c*gamma(m/2 + 11/2)) + 9*B*a*b**3*e**m*x**9*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 9/2)*gamma(m/2 + 9/2)/(c*gamma(m/2 + 11/2)) + B*b**4*e**m*m*x**11*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 11/2)*gamma(m/2 + 11/2)/(4*c*gamma(m/2 + 13/2)) + 11*B*b**4*e**m*x**11*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 11/2)*gamma(m/2 + 11/2)/(4*c*gamma(m/2 + 13/2))","C",0
23,1,911,0,31.104578," ","integrate((e*x)**m*(b*x**2+a)**3*(B*x**2+A)/(d*x**2+c),x)","\frac{A a^{3} e^{m} m x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A a^{3} e^{m} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{3 A a^{2} b e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{9 A a^{2} b e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 A a b^{2} e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{15 A a b^{2} e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{A b^{3} e^{m} m x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{7 A b^{3} e^{m} x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{B a^{3} e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 B a^{3} e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 B a^{2} b e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{15 B a^{2} b e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{3 B a b^{2} e^{m} m x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{21 B a b^{2} e^{m} x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{B b^{3} e^{m} m x^{9} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{9}{2}\right) \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{11}{2}\right)} + \frac{9 B b^{3} e^{m} x^{9} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{9}{2}\right) \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{11}{2}\right)}"," ",0,"A*a**3*e**m*m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*c*gamma(m/2 + 3/2)) + A*a**3*e**m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*c*gamma(m/2 + 3/2)) + 3*A*a**2*b*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + 9*A*a**2*b*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + 3*A*a*b**2*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*c*gamma(m/2 + 7/2)) + 15*A*a*b**2*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*c*gamma(m/2 + 7/2)) + A*b**3*e**m*m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*c*gamma(m/2 + 9/2)) + 7*A*b**3*e**m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*c*gamma(m/2 + 9/2)) + B*a**3*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + 3*B*a**3*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + 3*B*a**2*b*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*c*gamma(m/2 + 7/2)) + 15*B*a**2*b*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*c*gamma(m/2 + 7/2)) + 3*B*a*b**2*e**m*m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*c*gamma(m/2 + 9/2)) + 21*B*a*b**2*e**m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*c*gamma(m/2 + 9/2)) + B*b**3*e**m*m*x**9*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 9/2)*gamma(m/2 + 9/2)/(4*c*gamma(m/2 + 11/2)) + 9*B*b**3*e**m*x**9*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 9/2)*gamma(m/2 + 9/2)/(4*c*gamma(m/2 + 11/2))","C",0
24,1,666,0,21.308501," ","integrate((e*x)**m*(b*x**2+a)**2*(B*x**2+A)/(d*x**2+c),x)","\frac{A a^{2} e^{m} m x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A a^{2} e^{m} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A a b e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{2 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 A a b e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{2 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{A b^{2} e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{5 A b^{2} e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{B a^{2} e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 B a^{2} e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{B a b e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{2 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{5 B a b e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{2 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{B b^{2} e^{m} m x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)} + \frac{7 B b^{2} e^{m} x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{7}{2}\right) \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{9}{2}\right)}"," ",0,"A*a**2*e**m*m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*c*gamma(m/2 + 3/2)) + A*a**2*e**m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*c*gamma(m/2 + 3/2)) + A*a*b*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(2*c*gamma(m/2 + 5/2)) + 3*A*a*b*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(2*c*gamma(m/2 + 5/2)) + A*b**2*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*c*gamma(m/2 + 7/2)) + 5*A*b**2*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*c*gamma(m/2 + 7/2)) + B*a**2*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + 3*B*a**2*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + B*a*b*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(2*c*gamma(m/2 + 7/2)) + 5*B*a*b*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(2*c*gamma(m/2 + 7/2)) + B*b**2*e**m*m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*c*gamma(m/2 + 9/2)) + 7*B*b**2*e**m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 7/2)*gamma(m/2 + 7/2)/(4*c*gamma(m/2 + 9/2))","C",0
25,1,428,0,13.661084," ","integrate((e*x)**m*(b*x**2+a)*(B*x**2+A)/(d*x**2+c),x)","\frac{A a e^{m} m x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A a e^{m} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A b e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 A b e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{B a e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 B a e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{B b e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{5 B b e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}"," ",0,"A*a*e**m*m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*c*gamma(m/2 + 3/2)) + A*a*e**m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*c*gamma(m/2 + 3/2)) + A*b*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + 3*A*b*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + B*a*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + 3*B*a*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + B*b*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*c*gamma(m/2 + 7/2)) + 5*B*b*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(4*c*gamma(m/2 + 7/2))","C",0
26,1,204,0,6.863318," ","integrate((e*x)**m*(B*x**2+A)/(d*x**2+c),x)","\frac{A e^{m} m x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{A e^{m} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{B e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 B e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{4 c \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}"," ",0,"A*e**m*m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*c*gamma(m/2 + 3/2)) + A*e**m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(4*c*gamma(m/2 + 3/2)) + B*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2)) + 3*B*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(4*c*gamma(m/2 + 5/2))","C",0
27,0,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)/(b*x**2+a)/(d*x**2+c),x)","\int \frac{\left(e x\right)^{m} \left(A + B x^{2}\right)}{\left(a + b x^{2}\right) \left(c + d x^{2}\right)}\, dx"," ",0,"Integral((e*x)**m*(A + B*x**2)/((a + b*x**2)*(c + d*x**2)), x)","F",0
28,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)/(b*x**2+a)**2/(d*x**2+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)/(b*x**2+a)**3/(d*x**2+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,0,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**3*(B*x**2+A)/(d*x**2+c)**2,x)","\int \frac{\left(e x\right)^{m} \left(A + B x^{2}\right) \left(a + b x^{2}\right)^{3}}{\left(c + d x^{2}\right)^{2}}\, dx"," ",0,"Integral((e*x)**m*(A + B*x**2)*(a + b*x**2)**3/(c + d*x**2)**2, x)","F",0
31,0,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**2*(B*x**2+A)/(d*x**2+c)**2,x)","\int \frac{\left(e x\right)^{m} \left(A + B x^{2}\right) \left(a + b x^{2}\right)^{2}}{\left(c + d x^{2}\right)^{2}}\, dx"," ",0,"Integral((e*x)**m*(A + B*x**2)*(a + b*x**2)**2/(c + d*x**2)**2, x)","F",0
32,1,2076,0,83.998737," ","integrate((e*x)**m*(b*x**2+a)*(B*x**2+A)/(d*x**2+c)**2,x)","A a \left(- \frac{c e^{m} m^{2} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{2 c e^{m} m x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{c e^{m} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{2 c e^{m} x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{d e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{d e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}\right) + A b \left(- \frac{c e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 c e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{2 c e^{m} m x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 c e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{6 c e^{m} x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{d e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 d e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 d e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}\right) + B a \left(- \frac{c e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 c e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{2 c e^{m} m x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 c e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{6 c e^{m} x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{d e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 d e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 d e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}\right) + B b \left(- \frac{c e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} - \frac{8 c e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{2 c e^{m} m x^{5} x^{m} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} - \frac{15 c e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} + \frac{10 c e^{m} x^{5} x^{m} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} - \frac{d e^{m} m^{2} x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} - \frac{8 d e^{m} m x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)} - \frac{15 d e^{m} x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{5}{2}\right) \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{7}{2}\right)}\right)"," ",0,"A*a*(-c*e**m*m**2*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2)) + 2*c*e**m*m*x*x**m*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2)) + c*e**m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2)) + 2*c*e**m*x*x**m*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2)) - d*e**m*m**2*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2)) + d*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2))) + A*b*(-c*e**m*m**2*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 4*c*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) + 2*c*e**m*m*x**3*x**m*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 3*c*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) + 6*c*e**m*x**3*x**m*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - d*e**m*m**2*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 4*d*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 3*d*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2))) + B*a*(-c*e**m*m**2*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 4*c*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) + 2*c*e**m*m*x**3*x**m*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 3*c*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) + 6*c*e**m*x**3*x**m*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - d*e**m*m**2*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 4*d*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 3*d*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2))) + B*b*(-c*e**m*m**2*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*c**3*gamma(m/2 + 7/2) + 8*c**2*d*x**2*gamma(m/2 + 7/2)) - 8*c*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*c**3*gamma(m/2 + 7/2) + 8*c**2*d*x**2*gamma(m/2 + 7/2)) + 2*c*e**m*m*x**5*x**m*gamma(m/2 + 5/2)/(8*c**3*gamma(m/2 + 7/2) + 8*c**2*d*x**2*gamma(m/2 + 7/2)) - 15*c*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*c**3*gamma(m/2 + 7/2) + 8*c**2*d*x**2*gamma(m/2 + 7/2)) + 10*c*e**m*x**5*x**m*gamma(m/2 + 5/2)/(8*c**3*gamma(m/2 + 7/2) + 8*c**2*d*x**2*gamma(m/2 + 7/2)) - d*e**m*m**2*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*c**3*gamma(m/2 + 7/2) + 8*c**2*d*x**2*gamma(m/2 + 7/2)) - 8*d*e**m*m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*c**3*gamma(m/2 + 7/2) + 8*c**2*d*x**2*gamma(m/2 + 7/2)) - 15*d*e**m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 5/2)*gamma(m/2 + 5/2)/(8*c**3*gamma(m/2 + 7/2) + 8*c**2*d*x**2*gamma(m/2 + 7/2)))","C",0
33,1,954,0,42.975139," ","integrate((e*x)**m*(B*x**2+A)/(d*x**2+c)**2,x)","A \left(- \frac{c e^{m} m^{2} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{2 c e^{m} m x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{c e^{m} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{2 c e^{m} x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{d e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{d e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}\right) + B \left(- \frac{c e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 c e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{2 c e^{m} m x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 c e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{6 c e^{m} x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{d e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 d e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 d e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{8 c^{3} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 8 c^{2} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}\right)"," ",0,"A*(-c*e**m*m**2*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2)) + 2*c*e**m*m*x*x**m*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2)) + c*e**m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2)) + 2*c*e**m*x*x**m*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2)) - d*e**m*m**2*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2)) + d*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(8*c**3*gamma(m/2 + 3/2) + 8*c**2*d*x**2*gamma(m/2 + 3/2))) + B*(-c*e**m*m**2*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 4*c*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) + 2*c*e**m*m*x**3*x**m*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 3*c*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) + 6*c*e**m*x**3*x**m*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - d*e**m*m**2*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 4*d*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)) - 3*d*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(8*c**3*gamma(m/2 + 5/2) + 8*c**2*d*x**2*gamma(m/2 + 5/2)))","C",0
34,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)/(b*x**2+a)/(d*x**2+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)/(b*x**2+a)**2/(d*x**2+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)/(b*x**2+a)**3/(d*x**2+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**3*(B*x**2+A)/(d*x**2+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**2*(B*x**2+A)/(d*x**2+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)*(B*x**2+A)/(d*x**2+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
40,1,3172,0,141.881053," ","integrate((e*x)**m*(B*x**2+A)/(d*x**2+c)**3,x)","A \left(\frac{c^{2} e^{m} m^{3} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{3 c^{2} e^{m} m^{2} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{2 c^{2} e^{m} m^{2} x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{c^{2} e^{m} m x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{8 c^{2} e^{m} m x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{3 c^{2} e^{m} x x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{10 c^{2} e^{m} x x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{2 c d e^{m} m^{3} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{6 c d e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{2 c d e^{m} m^{2} x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{2 c d e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{4 c d e^{m} m x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{6 c d e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{6 c d e^{m} x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{d^{2} e^{m} m^{3} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{3 d^{2} e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} - \frac{d^{2} e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)} + \frac{3 d^{2} e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{1}{2}\right) \Gamma\left(\frac{m}{2} + \frac{1}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}\right) + B \left(\frac{c^{2} e^{m} m^{3} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 c^{2} e^{m} m^{2} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{2 c^{2} e^{m} m^{2} x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{c^{2} e^{m} m x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 c^{2} e^{m} x^{3} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{18 c^{2} e^{m} x^{3} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{2 c d e^{m} m^{3} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{6 c d e^{m} m^{2} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{2 c d e^{m} m^{2} x^{5} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{2 c d e^{m} m x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{4 c d e^{m} m x^{5} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{6 c d e^{m} x^{5} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{6 c d e^{m} x^{5} x^{m} \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{d^{2} e^{m} m^{3} x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} + \frac{3 d^{2} e^{m} m^{2} x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{d^{2} e^{m} m x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)} - \frac{3 d^{2} e^{m} x^{7} x^{m} \Phi\left(\frac{d x^{2} e^{i \pi}}{c}, 1, \frac{m}{2} + \frac{3}{2}\right) \Gamma\left(\frac{m}{2} + \frac{3}{2}\right)}{32 c^{5} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 64 c^{4} d x^{2} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right) + 32 c^{3} d^{2} x^{4} \Gamma\left(\frac{m}{2} + \frac{5}{2}\right)}\right)"," ",0,"A*(c**2*e**m*m**3*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) - 3*c**2*e**m*m**2*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) - 2*c**2*e**m*m**2*x*x**m*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) - c**2*e**m*m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) + 8*c**2*e**m*m*x*x**m*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) + 3*c**2*e**m*x*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) + 10*c**2*e**m*x*x**m*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) + 2*c*d*e**m*m**3*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) - 6*c*d*e**m*m**2*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) - 2*c*d*e**m*m**2*x**3*x**m*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) - 2*c*d*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) + 4*c*d*e**m*m*x**3*x**m*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) + 6*c*d*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) + 6*c*d*e**m*x**3*x**m*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) + d**2*e**m*m**3*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) - 3*d**2*e**m*m**2*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) - d**2*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2)) + 3*d**2*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 1/2)*gamma(m/2 + 1/2)/(32*c**5*gamma(m/2 + 3/2) + 64*c**4*d*x**2*gamma(m/2 + 3/2) + 32*c**3*d**2*x**4*gamma(m/2 + 3/2))) + B*(c**2*e**m*m**3*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) + 3*c**2*e**m*m**2*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) - 2*c**2*e**m*m**2*x**3*x**m*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) - c**2*e**m*m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) - 3*c**2*e**m*x**3*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) + 18*c**2*e**m*x**3*x**m*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) + 2*c*d*e**m*m**3*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) + 6*c*d*e**m*m**2*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) - 2*c*d*e**m*m**2*x**5*x**m*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) - 2*c*d*e**m*m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) - 4*c*d*e**m*m*x**5*x**m*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) - 6*c*d*e**m*x**5*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) + 6*c*d*e**m*x**5*x**m*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) + d**2*e**m*m**3*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) + 3*d**2*e**m*m**2*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) - d**2*e**m*m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)) - 3*d**2*e**m*x**7*x**m*lerchphi(d*x**2*exp_polar(I*pi)/c, 1, m/2 + 3/2)*gamma(m/2 + 3/2)/(32*c**5*gamma(m/2 + 5/2) + 64*c**4*d*x**2*gamma(m/2 + 5/2) + 32*c**3*d**2*x**4*gamma(m/2 + 5/2)))","C",0
41,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)/(b*x**2+a)/(d*x**2+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)/(b*x**2+a)**2/(d*x**2+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,-1,0,0,0.000000," ","integrate((e*x)**m*(B*x**2+A)/(b*x**2+a)**3/(d*x**2+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**p*(B*x**2+A)*(d*x**2+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**p*(B*x**2+A)*(d*x**2+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**p*(B*x**2+A)*(d*x**2+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**p*(B*x**2+A)/(d*x**2+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**p*(B*x**2+A)/(d*x**2+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,-1,0,0,0.000000," ","integrate((e*x)**m*(b*x**2+a)**p*(B*x**2+A)/(d*x**2+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,1,97,0,59.288289," ","integrate((B*x**2+A)*(d*x**2+c)*(b*x**2+a)**(1/2)/x,x)","\frac{A a c \operatorname{atan}{\left(\frac{\sqrt{a + b x^{2}}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + A c \sqrt{a + b x^{2}} + \frac{B d \left(a + b x^{2}\right)^{\frac{5}{2}}}{5 b^{2}} + \frac{\left(a + b x^{2}\right)^{\frac{3}{2}} \left(2 A b d - 2 B a d + 2 B b c\right)}{6 b^{2}}"," ",0,"A*a*c*atan(sqrt(a + b*x**2)/sqrt(-a))/sqrt(-a) + A*c*sqrt(a + b*x**2) + B*d*(a + b*x**2)**(5/2)/(5*b**2) + (a + b*x**2)**(3/2)*(2*A*b*d - 2*B*a*d + 2*B*b*c)/(6*b**2)","A",0
51,1,97,0,54.080328," ","integrate((b*x**2+a)*(B*x**2+A)*(d*x**2+c)**(1/2)/x,x)","\frac{A a c \operatorname{atan}{\left(\frac{\sqrt{c + d x^{2}}}{\sqrt{- c}} \right)}}{\sqrt{- c}} + A a \sqrt{c + d x^{2}} + \frac{B b \left(c + d x^{2}\right)^{\frac{5}{2}}}{5 d^{2}} + \frac{\left(c + d x^{2}\right)^{\frac{3}{2}} \left(2 A b d + 2 B a d - 2 B b c\right)}{6 d^{2}}"," ",0,"A*a*c*atan(sqrt(c + d*x**2)/sqrt(-c))/sqrt(-c) + A*a*sqrt(c + d*x**2) + B*b*(c + d*x**2)**(5/2)/(5*d**2) + (c + d*x**2)**(3/2)*(2*A*b*d + 2*B*a*d - 2*B*b*c)/(6*d**2)","A",0
