1,1,60,0,0.333580," ","integrate(1/(-9*b*x+9*x**3+2*b**(3/2)*3**(1/2)),x)","- \frac{3 \sqrt{3}}{81 \sqrt{b} x - 27 \sqrt{3} b} + \frac{- \frac{\log{\left(- \frac{\sqrt{3} \sqrt{b}}{3} + x \right)}}{27} + \frac{\log{\left(\frac{2 \sqrt{3} \sqrt{b}}{3} + x \right)}}{27}}{b}"," ",0,"-3*sqrt(3)/(81*sqrt(b)*x - 27*sqrt(3)*b) + (-log(-sqrt(3)*sqrt(b)/3 + x)/27 + log(2*sqrt(3)*sqrt(b)/3 + x)/27)/b","A",0
2,0,0,0,0.000000," ","integrate((b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)**p,x)","\begin{cases} \frac{x}{\sqrt[3]{a^{3}}} & \text{for}\: b = 0 \wedge p = - \frac{1}{3} \\x \left(a^{3}\right)^{p} & \text{for}\: b = 0 \\\int \frac{1}{\sqrt[3]{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}}\, dx & \text{for}\: p = - \frac{1}{3} \\\frac{a \left(a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}\right)^{p}}{3 b p + b} + \frac{b x \left(a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}\right)^{p}}{3 b p + b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/(a**3)**(1/3), Eq(b, 0) & Eq(p, -1/3)), (x*(a**3)**p, Eq(b, 0)), (Integral((a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3)**(-1/3), x), Eq(p, -1/3)), (a*(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3)**p/(3*b*p + b) + b*x*(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3)**p/(3*b*p + b), True))","F",0
3,1,107,0,0.087772," ","integrate((b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)**3,x)","a^{9} x + \frac{9 a^{8} b x^{2}}{2} + 12 a^{7} b^{2} x^{3} + 21 a^{6} b^{3} x^{4} + \frac{126 a^{5} b^{4} x^{5}}{5} + 21 a^{4} b^{5} x^{6} + 12 a^{3} b^{6} x^{7} + \frac{9 a^{2} b^{7} x^{8}}{2} + a b^{8} x^{9} + \frac{b^{9} x^{10}}{10}"," ",0,"a**9*x + 9*a**8*b*x**2/2 + 12*a**7*b**2*x**3 + 21*a**6*b**3*x**4 + 126*a**5*b**4*x**5/5 + 21*a**4*b**5*x**6 + 12*a**3*b**6*x**7 + 9*a**2*b**7*x**8/2 + a*b**8*x**9 + b**9*x**10/10","B",0
4,1,66,0,0.078562," ","integrate((b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)**2,x)","a^{6} x + 3 a^{5} b x^{2} + 5 a^{4} b^{2} x^{3} + 5 a^{3} b^{3} x^{4} + 3 a^{2} b^{4} x^{5} + a b^{5} x^{6} + \frac{b^{6} x^{7}}{7}"," ",0,"a**6*x + 3*a**5*b*x**2 + 5*a**4*b**2*x**3 + 5*a**3*b**3*x**4 + 3*a**2*b**4*x**5 + a*b**5*x**6 + b**6*x**7/7","B",0
5,1,32,0,0.065620," ","integrate(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3,x)","a^{3} x + \frac{3 a^{2} b x^{2}}{2} + a b^{2} x^{3} + \frac{b^{3} x^{4}}{4}"," ",0,"a**3*x + 3*a**2*b*x**2/2 + a*b**2*x**3 + b**3*x**4/4","A",0
6,1,26,0,0.182681," ","integrate(1/(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3),x)","- \frac{1}{2 a^{2} b + 4 a b^{2} x + 2 b^{3} x^{2}}"," ",0,"-1/(2*a**2*b + 4*a*b**2*x + 2*b**3*x**2)","B",0
7,1,61,0,0.348798," ","integrate(1/(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)**2,x)","- \frac{1}{5 a^{5} b + 25 a^{4} b^{2} x + 50 a^{3} b^{3} x^{2} + 50 a^{2} b^{4} x^{3} + 25 a b^{5} x^{4} + 5 b^{6} x^{5}}"," ",0,"-1/(5*a**5*b + 25*a**4*b**2*x + 50*a**3*b**3*x**2 + 50*a**2*b**4*x**3 + 25*a*b**5*x**4 + 5*b**6*x**5)","B",0
8,1,97,0,0.543112," ","integrate(1/(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)**3,x)","- \frac{1}{8 a^{8} b + 64 a^{7} b^{2} x + 224 a^{6} b^{3} x^{2} + 448 a^{5} b^{4} x^{3} + 560 a^{4} b^{5} x^{4} + 448 a^{3} b^{6} x^{5} + 224 a^{2} b^{7} x^{6} + 64 a b^{8} x^{7} + 8 b^{9} x^{8}}"," ",0,"-1/(8*a**8*b + 64*a**7*b**2*x + 224*a**6*b**3*x**2 + 448*a**5*b**4*x**3 + 560*a**4*b**5*x**4 + 448*a**3*b**6*x**5 + 224*a**2*b**7*x**6 + 64*a*b**8*x**7 + 8*b**9*x**8)","B",0
9,1,175,0,0.101340," ","integrate((c**2*x**3+3*b*c*x**2+3*b**2*x+3*a*b)**3,x)","27 a^{3} b^{3} x + \frac{81 a^{2} b^{4} x^{2}}{2} + \frac{9 b^{2} c^{4} x^{8}}{2} + b c^{5} x^{9} + \frac{c^{6} x^{10}}{10} + x^{7} \left(\frac{9 a b c^{4}}{7} + \frac{81 b^{3} c^{3}}{7}\right) + x^{6} \left(9 a b^{2} c^{3} + 18 b^{4} c^{2}\right) + x^{5} \left(27 a b^{3} c^{2} + \frac{81 b^{5} c}{5}\right) + x^{4} \left(\frac{27 a^{2} b^{2} c^{2}}{4} + \frac{81 a b^{4} c}{2} + \frac{27 b^{6}}{4}\right) + x^{3} \left(27 a^{2} b^{3} c + 27 a b^{5}\right)"," ",0,"27*a**3*b**3*x + 81*a**2*b**4*x**2/2 + 9*b**2*c**4*x**8/2 + b*c**5*x**9 + c**6*x**10/10 + x**7*(9*a*b*c**4/7 + 81*b**3*c**3/7) + x**6*(9*a*b**2*c**3 + 18*b**4*c**2) + x**5*(27*a*b**3*c**2 + 81*b**5*c/5) + x**4*(27*a**2*b**2*c**2/4 + 81*a*b**4*c/2 + 27*b**6/4) + x**3*(27*a**2*b**3*c + 27*a*b**5)","B",0
10,1,87,0,0.082879," ","integrate((c**2*x**3+3*b*c*x**2+3*b**2*x+3*a*b)**2,x)","9 a^{2} b^{2} x + 9 a b^{3} x^{2} + 3 b^{2} c^{2} x^{5} + b c^{3} x^{6} + \frac{c^{4} x^{7}}{7} + x^{4} \left(\frac{3 a b c^{2}}{2} + \frac{9 b^{3} c}{2}\right) + x^{3} \left(6 a b^{2} c + 3 b^{4}\right)"," ",0,"9*a**2*b**2*x + 9*a*b**3*x**2 + 3*b**2*c**2*x**5 + b*c**3*x**6 + c**4*x**7/7 + x**4*(3*a*b*c**2/2 + 9*b**3*c/2) + x**3*(6*a*b**2*c + 3*b**4)","A",0
11,1,31,0,0.063964," ","integrate(c**2*x**3+3*b*c*x**2+3*b**2*x+3*a*b,x)","3 a b x + \frac{3 b^{2} x^{2}}{2} + b c x^{3} + \frac{c^{2} x^{4}}{4}"," ",0,"3*a*b*x + 3*b**2*x**2/2 + b*c*x**3 + c**2*x**4/4","A",0
12,1,53,0,0.406039," ","integrate(1/(c**2*x**3+3*b*c*x**2+3*b**2*x+3*a*b),x)","\operatorname{RootSum} {\left(t^{3} \left(243 a^{2} b^{2} c^{2} - 162 a b^{4} c + 27 b^{6}\right) - 1, \left( t \mapsto t \log{\left(x + \frac{9 t a b c - 3 t b^{3} + b}{c} \right)} \right)\right)}"," ",0,"RootSum(_t**3*(243*a**2*b**2*c**2 - 162*a*b**4*c + 27*b**6) - 1, Lambda(_t, _t*log(x + (9*_t*a*b*c - 3*_t*b**3 + b)/c)))","A",0
13,1,192,0,1.224982," ","integrate(1/(c**2*x**3+3*b*c*x**2+3*b**2*x+3*a*b)**2,x)","\frac{b + c x}{27 a^{2} b^{2} c - 9 a b^{4} + x^{3} \left(9 a b c^{3} - 3 b^{3} c^{2}\right) + x^{2} \left(27 a b^{2} c^{2} - 9 b^{4} c\right) + x \left(27 a b^{3} c - 9 b^{5}\right)} + \operatorname{RootSum} {\left(t^{3} \left(177147 a^{5} b^{5} c^{5} - 295245 a^{4} b^{7} c^{4} + 196830 a^{3} b^{9} c^{3} - 65610 a^{2} b^{11} c^{2} + 10935 a b^{13} c - 729 b^{15}\right) - 8 c^{3}, \left( t \mapsto t \log{\left(x + \frac{81 t a^{2} b^{2} c^{2} - 54 t a b^{4} c + 9 t b^{6} + 2 b c}{2 c^{2}} \right)} \right)\right)}"," ",0,"(b + c*x)/(27*a**2*b**2*c - 9*a*b**4 + x**3*(9*a*b*c**3 - 3*b**3*c**2) + x**2*(27*a*b**2*c**2 - 9*b**4*c) + x*(27*a*b**3*c - 9*b**5)) + RootSum(_t**3*(177147*a**5*b**5*c**5 - 295245*a**4*b**7*c**4 + 196830*a**3*b**9*c**3 - 65610*a**2*b**11*c**2 + 10935*a*b**13*c - 729*b**15) - 8*c**3, Lambda(_t, _t*log(x + (81*_t*a**2*b**2*c**2 - 54*_t*a*b**4*c + 9*_t*b**6 + 2*b*c)/(2*c**2))))","A",0
14,1,474,0,2.542383," ","integrate(1/(c**2*x**3+3*b*c*x**2+3*b**2*x+3*a*b)**3,x)","\frac{24 a b^{2} c - 3 b^{4} + 30 b^{2} c^{2} x^{2} + 20 b c^{3} x^{3} + 5 c^{4} x^{4} + x \left(24 a b c^{2} + 12 b^{3} c\right)}{1458 a^{4} b^{4} c^{2} - 972 a^{3} b^{6} c + 162 a^{2} b^{8} + x^{6} \left(162 a^{2} b^{2} c^{6} - 108 a b^{4} c^{5} + 18 b^{6} c^{4}\right) + x^{5} \left(972 a^{2} b^{3} c^{5} - 648 a b^{5} c^{4} + 108 b^{7} c^{3}\right) + x^{4} \left(2430 a^{2} b^{4} c^{4} - 1620 a b^{6} c^{3} + 270 b^{8} c^{2}\right) + x^{3} \left(972 a^{3} b^{3} c^{4} + 2268 a^{2} b^{5} c^{3} - 1836 a b^{7} c^{2} + 324 b^{9} c\right) + x^{2} \left(2916 a^{3} b^{4} c^{3} - 486 a^{2} b^{6} c^{2} - 648 a b^{8} c + 162 b^{10}\right) + x \left(2916 a^{3} b^{5} c^{2} - 1944 a^{2} b^{7} c + 324 a b^{9}\right)} + \operatorname{RootSum} {\left(t^{3} \left(129140163 a^{8} b^{8} c^{8} - 344373768 a^{7} b^{10} c^{7} + 401769396 a^{6} b^{12} c^{6} - 267846264 a^{5} b^{14} c^{5} + 111602610 a^{4} b^{16} c^{4} - 29760696 a^{3} b^{18} c^{3} + 4960116 a^{2} b^{20} c^{2} - 472392 a b^{22} c + 19683 b^{24}\right) - 125 c^{6}, \left( t \mapsto t \log{\left(x + \frac{729 t a^{3} b^{3} c^{3} - 729 t a^{2} b^{5} c^{2} + 243 t a b^{7} c - 27 t b^{9} + 5 b c^{2}}{5 c^{3}} \right)} \right)\right)}"," ",0,"(24*a*b**2*c - 3*b**4 + 30*b**2*c**2*x**2 + 20*b*c**3*x**3 + 5*c**4*x**4 + x*(24*a*b*c**2 + 12*b**3*c))/(1458*a**4*b**4*c**2 - 972*a**3*b**6*c + 162*a**2*b**8 + x**6*(162*a**2*b**2*c**6 - 108*a*b**4*c**5 + 18*b**6*c**4) + x**5*(972*a**2*b**3*c**5 - 648*a*b**5*c**4 + 108*b**7*c**3) + x**4*(2430*a**2*b**4*c**4 - 1620*a*b**6*c**3 + 270*b**8*c**2) + x**3*(972*a**3*b**3*c**4 + 2268*a**2*b**5*c**3 - 1836*a*b**7*c**2 + 324*b**9*c) + x**2*(2916*a**3*b**4*c**3 - 486*a**2*b**6*c**2 - 648*a*b**8*c + 162*b**10) + x*(2916*a**3*b**5*c**2 - 1944*a**2*b**7*c + 324*a*b**9)) + RootSum(_t**3*(129140163*a**8*b**8*c**8 - 344373768*a**7*b**10*c**7 + 401769396*a**6*b**12*c**6 - 267846264*a**5*b**14*c**5 + 111602610*a**4*b**16*c**4 - 29760696*a**3*b**18*c**3 + 4960116*a**2*b**20*c**2 - 472392*a*b**22*c + 19683*b**24) - 125*c**6, Lambda(_t, _t*log(x + (729*_t*a**3*b**3*c**3 - 729*_t*a**2*b**5*c**2 + 243*_t*a*b**7*c - 27*_t*b**9 + 5*b*c**2)/(5*c**3))))","A",0
15,1,1018,0,0.246278," ","integrate((a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x**2+b*d*f*x**3)**3,x)","a^{3} c^{3} e^{3} x + \frac{b^{3} d^{3} f^{3} x^{10}}{10} + x^{9} \left(\frac{a b^{2} d^{3} f^{3}}{3} + \frac{b^{3} c d^{2} f^{3}}{3} + \frac{b^{3} d^{3} e f^{2}}{3}\right) + x^{8} \left(\frac{3 a^{2} b d^{3} f^{3}}{8} + \frac{9 a b^{2} c d^{2} f^{3}}{8} + \frac{9 a b^{2} d^{3} e f^{2}}{8} + \frac{3 b^{3} c^{2} d f^{3}}{8} + \frac{9 b^{3} c d^{2} e f^{2}}{8} + \frac{3 b^{3} d^{3} e^{2} f}{8}\right) + x^{7} \left(\frac{a^{3} d^{3} f^{3}}{7} + \frac{9 a^{2} b c d^{2} f^{3}}{7} + \frac{9 a^{2} b d^{3} e f^{2}}{7} + \frac{9 a b^{2} c^{2} d f^{3}}{7} + \frac{27 a b^{2} c d^{2} e f^{2}}{7} + \frac{9 a b^{2} d^{3} e^{2} f}{7} + \frac{b^{3} c^{3} f^{3}}{7} + \frac{9 b^{3} c^{2} d e f^{2}}{7} + \frac{9 b^{3} c d^{2} e^{2} f}{7} + \frac{b^{3} d^{3} e^{3}}{7}\right) + x^{6} \left(\frac{a^{3} c d^{2} f^{3}}{2} + \frac{a^{3} d^{3} e f^{2}}{2} + \frac{3 a^{2} b c^{2} d f^{3}}{2} + \frac{9 a^{2} b c d^{2} e f^{2}}{2} + \frac{3 a^{2} b d^{3} e^{2} f}{2} + \frac{a b^{2} c^{3} f^{3}}{2} + \frac{9 a b^{2} c^{2} d e f^{2}}{2} + \frac{9 a b^{2} c d^{2} e^{2} f}{2} + \frac{a b^{2} d^{3} e^{3}}{2} + \frac{b^{3} c^{3} e f^{2}}{2} + \frac{3 b^{3} c^{2} d e^{2} f}{2} + \frac{b^{3} c d^{2} e^{3}}{2}\right) + x^{5} \left(\frac{3 a^{3} c^{2} d f^{3}}{5} + \frac{9 a^{3} c d^{2} e f^{2}}{5} + \frac{3 a^{3} d^{3} e^{2} f}{5} + \frac{3 a^{2} b c^{3} f^{3}}{5} + \frac{27 a^{2} b c^{2} d e f^{2}}{5} + \frac{27 a^{2} b c d^{2} e^{2} f}{5} + \frac{3 a^{2} b d^{3} e^{3}}{5} + \frac{9 a b^{2} c^{3} e f^{2}}{5} + \frac{27 a b^{2} c^{2} d e^{2} f}{5} + \frac{9 a b^{2} c d^{2} e^{3}}{5} + \frac{3 b^{3} c^{3} e^{2} f}{5} + \frac{3 b^{3} c^{2} d e^{3}}{5}\right) + x^{4} \left(\frac{a^{3} c^{3} f^{3}}{4} + \frac{9 a^{3} c^{2} d e f^{2}}{4} + \frac{9 a^{3} c d^{2} e^{2} f}{4} + \frac{a^{3} d^{3} e^{3}}{4} + \frac{9 a^{2} b c^{3} e f^{2}}{4} + \frac{27 a^{2} b c^{2} d e^{2} f}{4} + \frac{9 a^{2} b c d^{2} e^{3}}{4} + \frac{9 a b^{2} c^{3} e^{2} f}{4} + \frac{9 a b^{2} c^{2} d e^{3}}{4} + \frac{b^{3} c^{3} e^{3}}{4}\right) + x^{3} \left(a^{3} c^{3} e f^{2} + 3 a^{3} c^{2} d e^{2} f + a^{3} c d^{2} e^{3} + 3 a^{2} b c^{3} e^{2} f + 3 a^{2} b c^{2} d e^{3} + a b^{2} c^{3} e^{3}\right) + x^{2} \left(\frac{3 a^{3} c^{3} e^{2} f}{2} + \frac{3 a^{3} c^{2} d e^{3}}{2} + \frac{3 a^{2} b c^{3} e^{3}}{2}\right)"," ",0,"a**3*c**3*e**3*x + b**3*d**3*f**3*x**10/10 + x**9*(a*b**2*d**3*f**3/3 + b**3*c*d**2*f**3/3 + b**3*d**3*e*f**2/3) + x**8*(3*a**2*b*d**3*f**3/8 + 9*a*b**2*c*d**2*f**3/8 + 9*a*b**2*d**3*e*f**2/8 + 3*b**3*c**2*d*f**3/8 + 9*b**3*c*d**2*e*f**2/8 + 3*b**3*d**3*e**2*f/8) + x**7*(a**3*d**3*f**3/7 + 9*a**2*b*c*d**2*f**3/7 + 9*a**2*b*d**3*e*f**2/7 + 9*a*b**2*c**2*d*f**3/7 + 27*a*b**2*c*d**2*e*f**2/7 + 9*a*b**2*d**3*e**2*f/7 + b**3*c**3*f**3/7 + 9*b**3*c**2*d*e*f**2/7 + 9*b**3*c*d**2*e**2*f/7 + b**3*d**3*e**3/7) + x**6*(a**3*c*d**2*f**3/2 + a**3*d**3*e*f**2/2 + 3*a**2*b*c**2*d*f**3/2 + 9*a**2*b*c*d**2*e*f**2/2 + 3*a**2*b*d**3*e**2*f/2 + a*b**2*c**3*f**3/2 + 9*a*b**2*c**2*d*e*f**2/2 + 9*a*b**2*c*d**2*e**2*f/2 + a*b**2*d**3*e**3/2 + b**3*c**3*e*f**2/2 + 3*b**3*c**2*d*e**2*f/2 + b**3*c*d**2*e**3/2) + x**5*(3*a**3*c**2*d*f**3/5 + 9*a**3*c*d**2*e*f**2/5 + 3*a**3*d**3*e**2*f/5 + 3*a**2*b*c**3*f**3/5 + 27*a**2*b*c**2*d*e*f**2/5 + 27*a**2*b*c*d**2*e**2*f/5 + 3*a**2*b*d**3*e**3/5 + 9*a*b**2*c**3*e*f**2/5 + 27*a*b**2*c**2*d*e**2*f/5 + 9*a*b**2*c*d**2*e**3/5 + 3*b**3*c**3*e**2*f/5 + 3*b**3*c**2*d*e**3/5) + x**4*(a**3*c**3*f**3/4 + 9*a**3*c**2*d*e*f**2/4 + 9*a**3*c*d**2*e**2*f/4 + a**3*d**3*e**3/4 + 9*a**2*b*c**3*e*f**2/4 + 27*a**2*b*c**2*d*e**2*f/4 + 9*a**2*b*c*d**2*e**3/4 + 9*a*b**2*c**3*e**2*f/4 + 9*a*b**2*c**2*d*e**3/4 + b**3*c**3*e**3/4) + x**3*(a**3*c**3*e*f**2 + 3*a**3*c**2*d*e**2*f + a**3*c*d**2*e**3 + 3*a**2*b*c**3*e**2*f + 3*a**2*b*c**2*d*e**3 + a*b**2*c**3*e**3) + x**2*(3*a**3*c**3*e**2*f/2 + 3*a**3*c**2*d*e**3/2 + 3*a**2*b*c**3*e**3/2)","B",0
16,1,345,0,0.135159," ","integrate((a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x**2+b*d*f*x**3)**2,x)","a^{2} c^{2} e^{2} x + \frac{b^{2} d^{2} f^{2} x^{7}}{7} + x^{6} \left(\frac{a b d^{2} f^{2}}{3} + \frac{b^{2} c d f^{2}}{3} + \frac{b^{2} d^{2} e f}{3}\right) + x^{5} \left(\frac{a^{2} d^{2} f^{2}}{5} + \frac{4 a b c d f^{2}}{5} + \frac{4 a b d^{2} e f}{5} + \frac{b^{2} c^{2} f^{2}}{5} + \frac{4 b^{2} c d e f}{5} + \frac{b^{2} d^{2} e^{2}}{5}\right) + x^{4} \left(\frac{a^{2} c d f^{2}}{2} + \frac{a^{2} d^{2} e f}{2} + \frac{a b c^{2} f^{2}}{2} + 2 a b c d e f + \frac{a b d^{2} e^{2}}{2} + \frac{b^{2} c^{2} e f}{2} + \frac{b^{2} c d e^{2}}{2}\right) + x^{3} \left(\frac{a^{2} c^{2} f^{2}}{3} + \frac{4 a^{2} c d e f}{3} + \frac{a^{2} d^{2} e^{2}}{3} + \frac{4 a b c^{2} e f}{3} + \frac{4 a b c d e^{2}}{3} + \frac{b^{2} c^{2} e^{2}}{3}\right) + x^{2} \left(a^{2} c^{2} e f + a^{2} c d e^{2} + a b c^{2} e^{2}\right)"," ",0,"a**2*c**2*e**2*x + b**2*d**2*f**2*x**7/7 + x**6*(a*b*d**2*f**2/3 + b**2*c*d*f**2/3 + b**2*d**2*e*f/3) + x**5*(a**2*d**2*f**2/5 + 4*a*b*c*d*f**2/5 + 4*a*b*d**2*e*f/5 + b**2*c**2*f**2/5 + 4*b**2*c*d*e*f/5 + b**2*d**2*e**2/5) + x**4*(a**2*c*d*f**2/2 + a**2*d**2*e*f/2 + a*b*c**2*f**2/2 + 2*a*b*c*d*e*f + a*b*d**2*e**2/2 + b**2*c**2*e*f/2 + b**2*c*d*e**2/2) + x**3*(a**2*c**2*f**2/3 + 4*a**2*c*d*e*f/3 + a**2*d**2*e**2/3 + 4*a*b*c**2*e*f/3 + 4*a*b*c*d*e**2/3 + b**2*c**2*e**2/3) + x**2*(a**2*c**2*e*f + a**2*c*d*e**2 + a*b*c**2*e**2)","A",0
17,1,63,0,0.073212," ","integrate(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x**2+b*d*f*x**3,x)","a c e x + \frac{b d f x^{4}}{4} + x^{3} \left(\frac{a d f}{3} + \frac{b c f}{3} + \frac{b d e}{3}\right) + x^{2} \left(\frac{a c f}{2} + \frac{a d e}{2} + \frac{b c e}{2}\right)"," ",0,"a*c*e*x + b*d*f*x**4/4 + x**3*(a*d*f/3 + b*c*f/3 + b*d*e/3) + x**2*(a*c*f/2 + a*d*e/2 + b*c*e/2)","A",0
18,-1,0,0,0.000000," ","integrate(1/(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x**2+b*d*f*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,-1,0,0,0.000000," ","integrate(1/(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x**2+b*d*f*x**3)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,-1,0,0,0.000000," ","integrate(1/(a*c*e+(a*c*f+a*d*e+b*c*e)*x+(a*d*f+b*c*f+b*d*e)*x**2+b*d*f*x**3)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,1,19,0,0.130620," ","integrate(1/(x**3+x**2+x+1),x)","\frac{\log{\left(x + 1 \right)}}{2} - \frac{\log{\left(x^{2} + 1 \right)}}{4} + \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"log(x + 1)/2 - log(x**2 + 1)/4 + atan(x)/2","A",0
22,1,24,0,0.146241," ","integrate(1/(16*x**3-4*x**2+4*x-1),x)","\frac{\log{\left(x - \frac{1}{4} \right)}}{5} - \frac{\log{\left(x^{2} + \frac{1}{4} \right)}}{10} - \frac{\operatorname{atan}{\left(2 x \right)}}{10}"," ",0,"log(x - 1/4)/5 - log(x**2 + 1/4)/10 - atan(2*x)/10","A",0
23,1,8,0,0.063607," ","integrate(1/d/x**3,x)","- \frac{1}{2 d x^{2}}"," ",0,"-1/(2*d*x**2)","A",0
24,1,19,0,0.179896," ","integrate(1/(d*x**3+c*x**2),x)","- \frac{1}{c x} + \frac{d \left(- \log{\left(x \right)} + \log{\left(\frac{c}{d} + x \right)}\right)}{c^{2}}"," ",0,"-1/(c*x) + d*(-log(x) + log(c/d + x))/c**2","A",0
25,1,15,0,0.204523," ","integrate(1/(d*x**3+b*x),x)","\frac{\log{\left(x \right)}}{b} - \frac{\log{\left(\frac{b}{d} + x^{2} \right)}}{2 b}"," ",0,"log(x)/b - log(b/d + x**2)/(2*b)","A",0
26,1,564,0,4.192609," ","integrate(1/(d*x**3+c*x**2+b*x),x)","\left(- \frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right) \log{\left(x + \frac{24 b^{4} d^{2} \left(- \frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right)^{2} - 14 b^{3} c^{2} d \left(- \frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right)^{2} - 12 b^{3} d^{2} \left(- \frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right) + 2 b^{2} c^{4} \left(- \frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right)^{2} + 3 b^{2} c^{2} d \left(- \frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right) - 12 b^{2} d^{2} + 11 b c^{2} d - 2 c^{4}}{9 b c d^{2} - 2 c^{3} d} \right)} + \left(\frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right) \log{\left(x + \frac{24 b^{4} d^{2} \left(\frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right)^{2} - 14 b^{3} c^{2} d \left(\frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right)^{2} - 12 b^{3} d^{2} \left(\frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right) + 2 b^{2} c^{4} \left(\frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right)^{2} + 3 b^{2} c^{2} d \left(\frac{c \sqrt{- 4 b d + c^{2}}}{2 b \left(4 b d - c^{2}\right)} - \frac{1}{2 b}\right) - 12 b^{2} d^{2} + 11 b c^{2} d - 2 c^{4}}{9 b c d^{2} - 2 c^{3} d} \right)} + \frac{\log{\left(x \right)}}{b}"," ",0,"(-c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b))*log(x + (24*b**4*d**2*(-c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b))**2 - 14*b**3*c**2*d*(-c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b))**2 - 12*b**3*d**2*(-c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b)) + 2*b**2*c**4*(-c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b))**2 + 3*b**2*c**2*d*(-c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b)) - 12*b**2*d**2 + 11*b*c**2*d - 2*c**4)/(9*b*c*d**2 - 2*c**3*d)) + (c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b))*log(x + (24*b**4*d**2*(c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b))**2 - 14*b**3*c**2*d*(c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b))**2 - 12*b**3*d**2*(c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b)) + 2*b**2*c**4*(c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b))**2 + 3*b**2*c**2*d*(c*sqrt(-4*b*d + c**2)/(2*b*(4*b*d - c**2)) - 1/(2*b)) - 12*b**2*d**2 + 11*b*c**2*d - 2*c**4)/(9*b*c*d**2 - 2*c**3*d)) + log(x)/b","B",0
27,1,20,0,0.157439," ","integrate(1/(d*x**3+a),x)","\operatorname{RootSum} {\left(27 t^{3} a^{2} d - 1, \left( t \mapsto t \log{\left(3 t a + x \right)} \right)\right)}"," ",0,"RootSum(27*_t**3*a**2*d - 1, Lambda(_t, _t*log(3*_t*a + x)))","A",0
28,0,0,0,0.000000," ","integrate((d*x**3)**n,x)","\begin{cases} \frac{d^{n} x \left(x^{3}\right)^{n}}{3 n + 1} & \text{for}\: n \neq - \frac{1}{3} \\\int \frac{1}{\sqrt[3]{d x^{3}}}\, dx & \text{otherwise} \end{cases}"," ",0,"Piecewise((d**n*x*(x**3)**n/(3*n + 1), Ne(n, -1/3)), (Integral((d*x**3)**(-1/3), x), True))","F",0
29,0,0,0,0.000000," ","integrate((d*x**3+c*x**2)**n,x)","\int \left(c x^{2} + d x^{3}\right)^{n}\, dx"," ",0,"Integral((c*x**2 + d*x**3)**n, x)","F",0
30,0,0,0,0.000000," ","integrate((d*x**3+b*x)**n,x)","\int \left(b x + d x^{3}\right)^{n}\, dx"," ",0,"Integral((b*x + d*x**3)**n, x)","F",0
31,0,0,0,0.000000," ","integrate((d*x**3+c*x**2+b*x)**n,x)","\int \left(b x + c x^{2} + d x^{3}\right)^{n}\, dx"," ",0,"Integral((b*x + c*x**2 + d*x**3)**n, x)","F",0
32,1,34,0,10.544420," ","integrate((d*x**3+a)**n,x)","\frac{a^{n} x \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, - n \\ \frac{4}{3} \end{matrix}\middle| {\frac{d x^{3} e^{i \pi}}{a}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)}"," ",0,"a**n*x*gamma(1/3)*hyper((1/3, -n), (4/3,), d*x**3*exp_polar(I*pi)/a)/(3*gamma(4/3))","C",0
33,1,299,0,0.126949," ","integrate((d**2*x**4+4*c*d*x**3+4*c**2*x**2+4*a*c)**4,x)","256 a^{4} c^{4} x + \frac{1024 a^{3} c^{5} x^{3}}{3} + 256 a^{3} c^{4} d x^{4} + 512 a^{2} c^{5} d x^{6} + 32 c^{3} d^{5} x^{14} + \frac{112 c^{2} d^{6} x^{15}}{15} + c d^{7} x^{16} + \frac{d^{8} x^{17}}{17} + x^{13} \left(\frac{16 a c d^{6}}{13} + \frac{1120 c^{4} d^{4}}{13}\right) + x^{12} \left(16 a c^{2} d^{5} + \frac{448 c^{5} d^{3}}{3}\right) + x^{11} \left(\frac{960 a c^{3} d^{4}}{11} + \frac{1792 c^{6} d^{2}}{11}\right) + x^{10} \left(256 a c^{4} d^{3} + \frac{512 c^{7} d}{5}\right) + x^{9} \left(\frac{32 a^{2} c^{2} d^{4}}{3} + \frac{1280 a c^{5} d^{2}}{3} + \frac{256 c^{8}}{9}\right) + x^{8} \left(96 a^{2} c^{3} d^{3} + 384 a c^{6} d\right) + x^{7} \left(\frac{2304 a^{2} c^{4} d^{2}}{7} + \frac{1024 a c^{7}}{7}\right) + x^{5} \left(\frac{256 a^{3} c^{3} d^{2}}{5} + \frac{1536 a^{2} c^{6}}{5}\right)"," ",0,"256*a**4*c**4*x + 1024*a**3*c**5*x**3/3 + 256*a**3*c**4*d*x**4 + 512*a**2*c**5*d*x**6 + 32*c**3*d**5*x**14 + 112*c**2*d**6*x**15/15 + c*d**7*x**16 + d**8*x**17/17 + x**13*(16*a*c*d**6/13 + 1120*c**4*d**4/13) + x**12*(16*a*c**2*d**5 + 448*c**5*d**3/3) + x**11*(960*a*c**3*d**4/11 + 1792*c**6*d**2/11) + x**10*(256*a*c**4*d**3 + 512*c**7*d/5) + x**9*(32*a**2*c**2*d**4/3 + 1280*a*c**5*d**2/3 + 256*c**8/9) + x**8*(96*a**2*c**3*d**3 + 384*a*c**6*d) + x**7*(2304*a**2*c**4*d**2/7 + 1024*a*c**7/7) + x**5*(256*a**3*c**3*d**2/5 + 1536*a**2*c**6/5)","A",0
34,1,180,0,0.102377," ","integrate((d**2*x**4+4*c*d*x**3+4*c**2*x**2+4*a*c)**3,x)","64 a^{3} c^{3} x + 64 a^{2} c^{4} x^{3} + 48 a^{2} c^{3} d x^{4} + 64 a c^{4} d x^{6} + 16 c^{3} d^{3} x^{10} + \frac{60 c^{2} d^{4} x^{11}}{11} + c d^{5} x^{12} + \frac{d^{6} x^{13}}{13} + x^{9} \left(\frac{4 a c d^{4}}{3} + \frac{80 c^{4} d^{2}}{3}\right) + x^{8} \left(12 a c^{2} d^{3} + 24 c^{5} d\right) + x^{7} \left(\frac{288 a c^{3} d^{2}}{7} + \frac{64 c^{6}}{7}\right) + x^{5} \left(\frac{48 a^{2} c^{2} d^{2}}{5} + \frac{192 a c^{5}}{5}\right)"," ",0,"64*a**3*c**3*x + 64*a**2*c**4*x**3 + 48*a**2*c**3*d*x**4 + 64*a*c**4*d*x**6 + 16*c**3*d**3*x**10 + 60*c**2*d**4*x**11/11 + c*d**5*x**12 + d**6*x**13/13 + x**9*(4*a*c*d**4/3 + 80*c**4*d**2/3) + x**8*(12*a*c**2*d**3 + 24*c**5*d) + x**7*(288*a*c**3*d**2/7 + 64*c**6/7) + x**5*(48*a**2*c**2*d**2/5 + 192*a*c**5/5)","A",0
35,1,95,0,0.084672," ","integrate((d**2*x**4+4*c*d*x**3+4*c**2*x**2+4*a*c)**2,x)","16 a^{2} c^{2} x + \frac{32 a c^{3} x^{3}}{3} + 8 a c^{2} d x^{4} + \frac{16 c^{3} d x^{6}}{3} + \frac{24 c^{2} d^{2} x^{7}}{7} + c d^{3} x^{8} + \frac{d^{4} x^{9}}{9} + x^{5} \left(\frac{8 a c d^{2}}{5} + \frac{16 c^{4}}{5}\right)"," ",0,"16*a**2*c**2*x + 32*a*c**3*x**3/3 + 8*a*c**2*d*x**4 + 16*c**3*d*x**6/3 + 24*c**2*d**2*x**7/7 + c*d**3*x**8 + d**4*x**9/9 + x**5*(8*a*c*d**2/5 + 16*c**4/5)","A",0
36,1,31,0,0.066974," ","integrate(d**2*x**4+4*c*d*x**3+4*c**2*x**2+4*a*c,x)","4 a c x + \frac{4 c^{2} x^{3}}{3} + c d x^{4} + \frac{d^{2} x^{5}}{5}"," ",0,"4*a*c*x + 4*c**2*x**3/3 + c*d*x**4 + d**2*x**5/5","A",0
37,1,88,0,1.148800," ","integrate(1/(d**2*x**4+4*c*d*x**3+4*c**2*x**2+4*a*c),x)","\operatorname{RootSum} {\left(t^{4} \left(16384 a^{3} c^{3} d^{2} + 4096 a^{2} c^{6}\right) + 128 t^{2} a c^{3} + 1, \left( t \mapsto t \log{\left(x + \frac{- 1024 t^{3} a^{2} c^{4} d^{2} - 256 t^{3} a c^{7} + 16 t a c d^{2} - 4 t c^{4} + c d}{d^{2}} \right)} \right)\right)}"," ",0,"RootSum(_t**4*(16384*a**3*c**3*d**2 + 4096*a**2*c**6) + 128*_t**2*a*c**3 + 1, Lambda(_t, _t*log(x + (-1024*_t**3*a**2*c**4*d**2 - 256*_t**3*a*c**7 + 16*_t*a*c*d**2 - 4*_t*c**4 + c*d)/d**2)))","A",0
38,1,427,0,109.970718," ","integrate(1/(d**2*x**4+4*c*d*x**3+4*c**2*x**2+4*a*c)**2,x)","\frac{4 a c d + 3 c^{2} d x^{2} + c d^{2} x^{3} + x \left(4 a d^{2} + 2 c^{3}\right)}{256 a^{3} c^{2} d^{2} + 64 a^{2} c^{5} + x^{4} \left(64 a^{2} c d^{4} + 16 a c^{4} d^{2}\right) + x^{3} \left(256 a^{2} c^{2} d^{3} + 64 a c^{5} d\right) + x^{2} \left(256 a^{2} c^{3} d^{2} + 64 a c^{6}\right)} + \operatorname{RootSum} {\left(t^{4} \left(1073741824 a^{9} c^{7} d^{6} + 805306368 a^{8} c^{10} d^{4} + 201326592 a^{7} c^{13} d^{2} + 16777216 a^{6} c^{16}\right) + t^{2} \left(491520 a^{5} c^{5} d^{4} + 122880 a^{4} c^{8} d^{2} + 8192 a^{3} c^{11}\right) + 81 a^{2} d^{4} + 18 a c^{3} d^{2} + c^{6}, \left( t \mapsto t \log{\left(x + \frac{- 67108864 t^{3} a^{7} c^{7} d^{8} - 58720256 t^{3} a^{6} c^{10} d^{6} - 18874368 t^{3} a^{5} c^{13} d^{4} - 2621440 t^{3} a^{4} c^{16} d^{2} - 131072 t^{3} a^{3} c^{19} + 27648 t a^{4} c^{2} d^{8} - 9216 t a^{3} c^{5} d^{6} - 5440 t a^{2} c^{8} d^{4} - 736 t a c^{11} d^{2} - 32 t c^{14} + 324 a^{2} c d^{7} + 81 a c^{4} d^{5} + 5 c^{7} d^{3}}{324 a^{2} d^{8} + 81 a c^{3} d^{6} + 5 c^{6} d^{4}} \right)} \right)\right)}"," ",0,"(4*a*c*d + 3*c**2*d*x**2 + c*d**2*x**3 + x*(4*a*d**2 + 2*c**3))/(256*a**3*c**2*d**2 + 64*a**2*c**5 + x**4*(64*a**2*c*d**4 + 16*a*c**4*d**2) + x**3*(256*a**2*c**2*d**3 + 64*a*c**5*d) + x**2*(256*a**2*c**3*d**2 + 64*a*c**6)) + RootSum(_t**4*(1073741824*a**9*c**7*d**6 + 805306368*a**8*c**10*d**4 + 201326592*a**7*c**13*d**2 + 16777216*a**6*c**16) + _t**2*(491520*a**5*c**5*d**4 + 122880*a**4*c**8*d**2 + 8192*a**3*c**11) + 81*a**2*d**4 + 18*a*c**3*d**2 + c**6, Lambda(_t, _t*log(x + (-67108864*_t**3*a**7*c**7*d**8 - 58720256*_t**3*a**6*c**10*d**6 - 18874368*_t**3*a**5*c**13*d**4 - 2621440*_t**3*a**4*c**16*d**2 - 131072*_t**3*a**3*c**19 + 27648*_t*a**4*c**2*d**8 - 9216*_t*a**3*c**5*d**6 - 5440*_t*a**2*c**8*d**4 - 736*_t*a*c**11*d**2 - 32*_t*c**14 + 324*a**2*c*d**7 + 81*a*c**4*d**5 + 5*c**7*d**3)/(324*a**2*d**8 + 81*a*c**3*d**6 + 5*c**6*d**4))))","A",0
39,1,366,0,0.136523," ","integrate((8*e**3*x**4+8*d*e**2*x**3-d**3*x+8*a*e**2)**4,x)","4096 a^{4} e^{8} x - 1024 a^{3} d^{3} e^{6} x^{2} + 128 a^{2} d^{6} e^{4} x^{3} + 1024 d^{3} e^{9} x^{14} + \frac{8192 d^{2} e^{10} x^{15}}{5} + 1024 d e^{11} x^{16} + \frac{4096 e^{12} x^{17}}{17} + x^{13} \left(\frac{16384 a e^{11}}{13} - \frac{2048 d^{4} e^{8}}{13}\right) + x^{12} \left(4096 a d e^{10} - 512 d^{5} e^{7}\right) + x^{11} \left(\frac{49152 a d^{2} e^{9}}{11} - \frac{1664 d^{6} e^{6}}{11}\right) + x^{10} \left(1024 a d^{3} e^{8} + \frac{384 d^{7} e^{5}}{5}\right) + x^{9} \left(\frac{8192 a^{2} e^{10}}{3} - \frac{4096 a d^{4} e^{7}}{3} + \frac{128 d^{8} e^{4}}{3}\right) + x^{8} \left(6144 a^{2} d e^{9} - 768 a d^{5} e^{6} - 4 d^{9} e^{3}\right) + x^{7} \left(\frac{24576 a^{2} d^{2} e^{8}}{7} + \frac{768 a d^{6} e^{5}}{7} - \frac{32 d^{10} e^{2}}{7}\right) + x^{6} \left(- 1024 a^{2} d^{3} e^{7} + 128 a d^{7} e^{4}\right) + x^{5} \left(\frac{16384 a^{3} e^{9}}{5} - \frac{6144 a^{2} d^{4} e^{6}}{5} + \frac{d^{12}}{5}\right) + x^{4} \left(4096 a^{3} d e^{8} - 8 a d^{9} e^{2}\right)"," ",0,"4096*a**4*e**8*x - 1024*a**3*d**3*e**6*x**2 + 128*a**2*d**6*e**4*x**3 + 1024*d**3*e**9*x**14 + 8192*d**2*e**10*x**15/5 + 1024*d*e**11*x**16 + 4096*e**12*x**17/17 + x**13*(16384*a*e**11/13 - 2048*d**4*e**8/13) + x**12*(4096*a*d*e**10 - 512*d**5*e**7) + x**11*(49152*a*d**2*e**9/11 - 1664*d**6*e**6/11) + x**10*(1024*a*d**3*e**8 + 384*d**7*e**5/5) + x**9*(8192*a**2*e**10/3 - 4096*a*d**4*e**7/3 + 128*d**8*e**4/3) + x**8*(6144*a**2*d*e**9 - 768*a*d**5*e**6 - 4*d**9*e**3) + x**7*(24576*a**2*d**2*e**8/7 + 768*a*d**6*e**5/7 - 32*d**10*e**2/7) + x**6*(-1024*a**2*d**3*e**7 + 128*a*d**7*e**4) + x**5*(16384*a**3*e**9/5 - 6144*a**2*d**4*e**6/5 + d**12/5) + x**4*(4096*a**3*d*e**8 - 8*a*d**9*e**2)","A",0
40,1,218,0,0.108696," ","integrate((8*e**3*x**4+8*d*e**2*x**3-d**3*x+8*a*e**2)**3,x)","512 a^{3} e^{6} x - 96 a^{2} d^{3} e^{4} x^{2} + 8 a d^{6} e^{2} x^{3} + 32 d^{3} e^{6} x^{10} + \frac{1536 d^{2} e^{7} x^{11}}{11} + 128 d e^{8} x^{12} + \frac{512 e^{9} x^{13}}{13} + x^{9} \left(\frac{512 a e^{8}}{3} - \frac{128 d^{4} e^{5}}{3}\right) + x^{8} \left(384 a d e^{7} - 24 d^{5} e^{4}\right) + x^{7} \left(\frac{1536 a d^{2} e^{6}}{7} + \frac{24 d^{6} e^{3}}{7}\right) + x^{6} \left(- 64 a d^{3} e^{5} + 4 d^{7} e^{2}\right) + x^{5} \left(\frac{1536 a^{2} e^{7}}{5} - \frac{384 a d^{4} e^{4}}{5}\right) + x^{4} \left(384 a^{2} d e^{6} - \frac{d^{9}}{4}\right)"," ",0,"512*a**3*e**6*x - 96*a**2*d**3*e**4*x**2 + 8*a*d**6*e**2*x**3 + 32*d**3*e**6*x**10 + 1536*d**2*e**7*x**11/11 + 128*d*e**8*x**12 + 512*e**9*x**13/13 + x**9*(512*a*e**8/3 - 128*d**4*e**5/3) + x**8*(384*a*d*e**7 - 24*d**5*e**4) + x**7*(1536*a*d**2*e**6/7 + 24*d**6*e**3/7) + x**6*(-64*a*d**3*e**5 + 4*d**7*e**2) + x**5*(1536*a**2*e**7/5 - 384*a*d**4*e**4/5) + x**4*(384*a**2*d*e**6 - d**9/4)","A",0
41,1,112,0,0.087151," ","integrate((8*e**3*x**4+8*d*e**2*x**3-d**3*x+8*a*e**2)**2,x)","64 a^{2} e^{4} x - 8 a d^{3} e^{2} x^{2} + 32 a d e^{4} x^{4} + \frac{d^{6} x^{3}}{3} - \frac{8 d^{3} e^{3} x^{6}}{3} + \frac{64 d^{2} e^{4} x^{7}}{7} + 16 d e^{5} x^{8} + \frac{64 e^{6} x^{9}}{9} + x^{5} \left(\frac{128 a e^{5}}{5} - \frac{16 d^{4} e^{2}}{5}\right)"," ",0,"64*a**2*e**4*x - 8*a*d**3*e**2*x**2 + 32*a*d*e**4*x**4 + d**6*x**3/3 - 8*d**3*e**3*x**6/3 + 64*d**2*e**4*x**7/7 + 16*d*e**5*x**8 + 64*e**6*x**9/9 + x**5*(128*a*e**5/5 - 16*d**4*e**2/5)","A",0
42,1,36,0,0.067545," ","integrate(8*e**3*x**4+8*d*e**2*x**3-d**3*x+8*a*e**2,x)","8 a e^{2} x - \frac{d^{3} x^{2}}{2} + 2 d e^{2} x^{4} + \frac{8 e^{3} x^{5}}{5}"," ",0,"8*a*e**2*x - d**3*x**2/2 + 2*d*e**2*x**4 + 8*e**3*x**5/5","A",0
43,1,122,0,1.834718," ","integrate(1/(8*e**3*x**4+8*d*e**2*x**3-d**3*x+8*a*e**2),x)","\operatorname{RootSum} {\left(t^{4} \left(1048576 a^{3} e^{9} - 12288 a^{2} d^{4} e^{6} - 384 a d^{8} e^{3} + 5 d^{12}\right) + t^{2} \left(384 a d^{2} e^{3} - 6 d^{6}\right) + 1, \left( t \mapsto t \log{\left(x + \frac{- 49152 t^{3} a^{2} d^{2} e^{6} - 192 t^{3} a d^{6} e^{3} + 15 t^{3} d^{10} + 256 t a e^{3} - 13 t d^{4} + 2 d}{8 e} \right)} \right)\right)}"," ",0,"RootSum(_t**4*(1048576*a**3*e**9 - 12288*a**2*d**4*e**6 - 384*a*d**8*e**3 + 5*d**12) + _t**2*(384*a*d**2*e**3 - 6*d**6) + 1, Lambda(_t, _t*log(x + (-49152*_t**3*a**2*d**2*e**6 - 192*_t**3*a*d**6*e**3 + 15*_t**3*d**10 + 256*_t*a*e**3 - 13*_t*d**4 + 2*d)/(8*e))))","A",0
44,-1,0,0,0.000000," ","integrate(1/(8*e**3*x**4+8*d*e**2*x**3-d**3*x+8*a*e**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,1,94,0,0.074898," ","integrate((8*x**4-x**3+8*x+8)**4,x)","\frac{4096 x^{17}}{17} - 128 x^{16} + \frac{128 x^{15}}{5} + 1168 x^{14} + \frac{10241 x^{13}}{13} - 448 x^{12} + \frac{25312 x^{11}}{11} + \frac{21488 x^{10}}{5} + 1408 x^{9} + 1376 x^{8} + 6784 x^{7} + 7168 x^{6} + \frac{14336 x^{5}}{5} + 3584 x^{4} + 8192 x^{3} + 8192 x^{2} + 4096 x"," ",0,"4096*x**17/17 - 128*x**16 + 128*x**15/5 + 1168*x**14 + 10241*x**13/13 - 448*x**12 + 25312*x**11/11 + 21488*x**10/5 + 1408*x**9 + 1376*x**8 + 6784*x**7 + 7168*x**6 + 14336*x**5/5 + 3584*x**4 + 8192*x**3 + 8192*x**2 + 4096*x","A",0
46,1,71,0,0.070284," ","integrate((8*x**4-x**3+8*x+8)**3,x)","\frac{512 x^{13}}{13} - 16 x^{12} + \frac{24 x^{11}}{11} + \frac{307 x^{10}}{2} + 128 x^{9} - 45 x^{8} + \frac{1560 x^{7}}{7} + 480 x^{6} + \frac{1152 x^{5}}{5} + 80 x^{4} + 512 x^{3} + 768 x^{2} + 512 x"," ",0,"512*x**13/13 - 16*x**12 + 24*x**11/11 + 307*x**10/2 + 128*x**9 - 45*x**8 + 1560*x**7/7 + 480*x**6 + 1152*x**5/5 + 80*x**4 + 512*x**3 + 768*x**2 + 512*x","A",0
47,1,49,0,0.062491," ","integrate((8*x**4-x**3+8*x+8)**2,x)","\frac{64 x^{9}}{9} - 2 x^{8} + \frac{x^{7}}{7} + \frac{64 x^{6}}{3} + \frac{112 x^{5}}{5} - 4 x^{4} + \frac{64 x^{3}}{3} + 64 x^{2} + 64 x"," ",0,"64*x**9/9 - 2*x**8 + x**7/7 + 64*x**6/3 + 112*x**5/5 - 4*x**4 + 64*x**3/3 + 64*x**2 + 64*x","A",0
48,1,19,0,0.056820," ","integrate(8*x**4-x**3+8*x+8,x)","\frac{8 x^{5}}{5} - \frac{x^{4}}{4} + 4 x^{2} + 8 x"," ",0,"8*x**5/5 - x**4/4 + 4*x**2 + 8*x","A",0
49,1,41,0,0.955304," ","integrate(1/(8*x**4-x**3+8*x+8),x)","\operatorname{RootSum} {\left(66298176 t^{4} + 74088 t^{2} + 4095 t + 64, \left( t \mapsto t \log{\left(\frac{35914274424 t^{3}}{2109763} - \frac{1504863360 t^{2}}{2109763} + \frac{102851343 t}{2109763} + x + \frac{6055613}{16878104} \right)} \right)\right)}"," ",0,"RootSum(66298176*_t**4 + 74088*_t**2 + 4095*_t + 64, Lambda(_t, _t*log(35914274424*_t**3/2109763 - 1504863360*_t**2/2109763 + 102851343*_t/2109763 + x + 6055613/16878104)))","A",0
50,1,3834,0,3.223526," ","integrate(1/(8*x**4-x**3+8*x+8)**2,x)","\frac{784 x^{3} - 1146 x^{2} + 1539 x + 544}{350784 x^{4} - 43848 x^{3} + 350784 x + 350784} - \sqrt{- \frac{180983329}{37468546762752} + \frac{1583563 \sqrt{29}}{1292018853888}} \log{\left(x^{2} + x \left(- \frac{62716756730859 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667}}{227008323264998681573683424} - \frac{267658292345340 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667}}{8435208206933660878927} - \frac{2157374520970352866823 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}}}{113504161632499340786841712} + \frac{3881045239007430 \sqrt{29}}{5326727264361229} + \frac{435853770857118353330297}{33740832827734643515708} + \frac{20905585576953 \sqrt{42} \sqrt{-180983329 + 45923327 \sqrt{29}}}{85227636229779664}\right) - \frac{2942814074101429415084030510182204250067556953 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667}}{888496186751485201253966401139075287452416534006272} - \frac{14257625632856314835831142972765102609010539559351093}{27765505835983912539186450035596102732888016687696} - \frac{75184631502818837388875900060881355871 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667}}{30637799543154662112205737970312940946635052896768} - \frac{9633141817961412597488587661065704878094062299 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}}}{30637799543154662112205737970312940946635052896768} - \frac{1398888334001652366855237255 \sqrt{42} \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667}}{359456428291497016547944746810895370264} + \frac{91245981690030498967778233214015591679 \sqrt{42} \sqrt{-180983329 + 45923327 \sqrt{29}}}{23005211410655809059068463795897303696896} + \frac{10304175351841941260676745569701505519 \sqrt{29} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667}}{19347382796361535418676578052349632409089536} + \frac{639111088489748962499984017403917984374085485 \sqrt{29}}{4836845699090383854669144513087408102272384} \right)} + \sqrt{- \frac{180983329}{37468546762752} + \frac{1583563 \sqrt{29}}{1292018853888}} \log{\left(x^{2} + x \left(- \frac{62716756730859 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}}{227008323264998681573683424} - \frac{20905585576953 \sqrt{42} \sqrt{-180983329 + 45923327 \sqrt{29}}}{85227636229779664} + \frac{3881045239007430 \sqrt{29}}{5326727264361229} + \frac{267658292345340 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}}{8435208206933660878927} + \frac{2157374520970352866823 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}}}{113504161632499340786841712} + \frac{435853770857118353330297}{33740832827734643515708}\right) - \frac{14257625632856314835831142972765102609010539559351093}{27765505835983912539186450035596102732888016687696} - \frac{10304175351841941260676745569701505519 \sqrt{29} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}}{19347382796361535418676578052349632409089536} - \frac{91245981690030498967778233214015591679 \sqrt{42} \sqrt{-180983329 + 45923327 \sqrt{29}}}{23005211410655809059068463795897303696896} - \frac{75184631502818837388875900060881355871 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}}{30637799543154662112205737970312940946635052896768} - \frac{1398888334001652366855237255 \sqrt{42} \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}}{359456428291497016547944746810895370264} + \frac{9633141817961412597488587661065704878094062299 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}}}{30637799543154662112205737970312940946635052896768} + \frac{2942814074101429415084030510182204250067556953 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}}{888496186751485201253966401139075287452416534006272} + \frac{639111088489748962499984017403917984374085485 \sqrt{29}}{4836845699090383854669144513087408102272384} \right)} - 2 \sqrt{\frac{199631405}{37468546762752} + \frac{\sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}}{9367136690688} + \frac{1583563 \sqrt{29}}{430672951296}} \operatorname{atan}{\left(\frac{454016646529997363147366848 x}{- 4509673516272467429860 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}} + \frac{2932424170326692281206238216}{- 4509673516272467429860 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}} + \frac{4314749041940705733646 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}}}{- 4509673516272467429860 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}} + \frac{7203219963597790080 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}}{- 4509673516272467429860 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}} + \frac{165397912920614705160598080 \sqrt{29}}{- 4509673516272467429860 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}} - \frac{55683134469459984392598 \sqrt{42} \sqrt{-180983329 + 45923327 \sqrt{29}}}{- 4509673516272467429860 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}} - \frac{62716756730859 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}}{- 4509673516272467429860 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{199631405 + 4 \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667} + 137769981 \sqrt{29}} \sqrt{- 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 214095423017213 \sqrt{29} + 40699873480352667}} \right)} + 2 \sqrt{- \frac{\sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667}}{9367136690688} + \frac{199631405}{37468546762752} + \frac{1583563 \sqrt{29}}{430672951296}} \operatorname{atan}{\left(\frac{454016646529997363147366848 x}{3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 4509673516272467429860 \sqrt{1218} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}}} - \frac{62716756730859 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667}}{3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 4509673516272467429860 \sqrt{1218} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}}} - \frac{7203219963597790080 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667}}{3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 4509673516272467429860 \sqrt{1218} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}}} - \frac{4314749041940705733646 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}}}{3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 4509673516272467429860 \sqrt{1218} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}}} + \frac{165397912920614705160598080 \sqrt{29}}{3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 4509673516272467429860 \sqrt{1218} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}}} + \frac{2932424170326692281206238216}{3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 4509673516272467429860 \sqrt{1218} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}}} + \frac{55683134469459984392598 \sqrt{42} \sqrt{-180983329 + 45923327 \sqrt{29}}}{3601609981798895040 \sqrt{-180983329 + 45923327 \sqrt{29}} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 4509673516272467429860 \sqrt{1218} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}} + 20905585576953 \sqrt{1218} \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} \sqrt{- 4 \sqrt{214095423017213 \sqrt{29} + 47106822945 \sqrt{1218} \sqrt{-180983329 + 45923327 \sqrt{29}} + 40699873480352667} + 199631405 + 137769981 \sqrt{29}}} \right)}"," ",0,"(784*x**3 - 1146*x**2 + 1539*x + 544)/(350784*x**4 - 43848*x**3 + 350784*x + 350784) - sqrt(-180983329/37468546762752 + 1583563*sqrt(29)/1292018853888)*log(x**2 + x*(-62716756730859*sqrt(1218)*sqrt(-180983329 + 45923327*sqrt(29))*sqrt(214095423017213*sqrt(29) + 47106822945*sqrt(1218)*sqrt(-180983329 + 45923327*sqrt(29)) + 40699873480352667)/227008323264998681573683424 - 267658292345340*sqrt(214095423017213*sqrt(29) + 47106822945*sqrt(1218)*sqrt(-180983329 + 45923327*sqrt(29)) + 40699873480352667)/8435208206933660878927 - 2157374520970352866823*sqrt(1218)*sqrt(-180983329 + 45923327*sqrt(29))/113504161632499340786841712 + 3881045239007430*sqrt(29)/5326727264361229 + 435853770857118353330297/33740832827734643515708 + 20905585576953*sqrt(42)*sqrt(-180983329 + 45923327*sqrt(29))/85227636229779664) - 2942814074101429415084030510182204250067556953*sqrt(214095423017213*sqrt(29) + 47106822945*sqrt(1218)*sqrt(-180983329 + 45923327*sqrt(29)) + 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51,1,94,0,0.071228," ","integrate((4*x**4+4*x**2+4*x+1)**4,x)","\frac{256 x^{17}}{17} + \frac{1024 x^{15}}{15} + \frac{512 x^{14}}{7} + \frac{1792 x^{13}}{13} + 256 x^{12} + \frac{3328 x^{11}}{11} + 384 x^{10} + \frac{4192 x^{9}}{9} + 448 x^{8} + \frac{2752 x^{7}}{7} + \frac{992 x^{6}}{3} + \frac{1136 x^{5}}{5} + 112 x^{4} + \frac{112 x^{3}}{3} + 8 x^{2} + x"," ",0,"256*x**17/17 + 1024*x**15/15 + 512*x**14/7 + 1792*x**13/13 + 256*x**12 + 3328*x**11/11 + 384*x**10 + 4192*x**9/9 + 448*x**8 + 2752*x**7/7 + 992*x**6/3 + 1136*x**5/5 + 112*x**4 + 112*x**3/3 + 8*x**2 + x","A",0
52,1,66,0,0.065822," ","integrate((4*x**4+4*x**2+4*x+1)**3,x)","\frac{64 x^{13}}{13} + \frac{192 x^{11}}{11} + \frac{96 x^{10}}{5} + \frac{80 x^{9}}{3} + 48 x^{8} + \frac{352 x^{7}}{7} + 48 x^{6} + \frac{252 x^{5}}{5} + 40 x^{4} + 20 x^{3} + 6 x^{2} + x"," ",0,"64*x**13/13 + 192*x**11/11 + 96*x**10/5 + 80*x**9/3 + 48*x**8 + 352*x**7/7 + 48*x**6 + 252*x**5/5 + 40*x**4 + 20*x**3 + 6*x**2 + x","A",0
53,1,42,0,0.062499," ","integrate((4*x**4+4*x**2+4*x+1)**2,x)","\frac{16 x^{9}}{9} + \frac{32 x^{7}}{7} + \frac{16 x^{6}}{3} + \frac{24 x^{5}}{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + x"," ",0,"16*x**9/9 + 32*x**7/7 + 16*x**6/3 + 24*x**5/5 + 8*x**4 + 8*x**3 + 4*x**2 + x","A",0
54,1,19,0,0.056493," ","integrate(4*x**4+4*x**2+4*x+1,x)","\frac{4 x^{5}}{5} + \frac{4 x^{3}}{3} + 2 x^{2} + x"," ",0,"4*x**5/5 + 4*x**3/3 + 2*x**2 + x","A",0
55,1,3432,0,2.572258," ","integrate(1/(4*x**4+4*x**2+4*x+1),x)","\sqrt{- \frac{1}{40} + \frac{\sqrt{5}}{80}} \log{\left(x^{2} + x \left(-8 - \frac{21 \sqrt{5} \sqrt{-2 + \sqrt{5}}}{10} - \frac{\sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{2} - \frac{\sqrt{5}}{2} + 12 \sqrt{-2 + \sqrt{5}} + \frac{9 \sqrt{5} \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{5}\right) - \frac{841 \sqrt{5} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{20} - \frac{14351}{40} - \frac{441 \sqrt{-2 + \sqrt{5}}}{4} - \frac{75 \sqrt{5} \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{8} - 3 \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + \frac{301 \sqrt{5} \sqrt{-2 + \sqrt{5}}}{10} + \frac{7407 \sqrt{5}}{40} + \frac{3913 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{40} \right)} - \sqrt{- \frac{1}{40} + \frac{\sqrt{5}}{80}} \log{\left(x^{2} + x \left(-8 - 12 \sqrt{-2 + \sqrt{5}} - \frac{\sqrt{5}}{2} + \frac{21 \sqrt{5} \sqrt{-2 + \sqrt{5}}}{10} + \frac{\sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{2} + \frac{9 \sqrt{5} \sqrt{-2 + \sqrt{5}} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{5}\right) - \frac{3913 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{40} - \frac{14351}{40} - \frac{75 \sqrt{5} \sqrt{-2 + \sqrt{5}} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{8} - \frac{301 \sqrt{5} \sqrt{-2 + \sqrt{5}}}{10} - 3 \sqrt{-2 + \sqrt{5}} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + \frac{441 \sqrt{-2 + \sqrt{5}}}{4} + \frac{7407 \sqrt{5}}{40} + \frac{841 \sqrt{5} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{20} \right)} - 2 \sqrt{\frac{3}{80} + \frac{3 \sqrt{5}}{80} + \frac{\sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{40}} \operatorname{atan}{\left(- \frac{20 x}{- 27 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 5 \sqrt{-2 + \sqrt{5}} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 6 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} - \frac{18 \sqrt{5} \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{- 27 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 5 \sqrt{-2 + \sqrt{5}} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 6 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} - \frac{120 \sqrt{-2 + \sqrt{5}}}{- 27 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 5 \sqrt{-2 + \sqrt{5}} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 6 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + \frac{5 \sqrt{5}}{- 27 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 5 \sqrt{-2 + \sqrt{5}} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 6 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + \frac{5 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{- 27 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 5 \sqrt{-2 + \sqrt{5}} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 6 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + \frac{21 \sqrt{5} \sqrt{-2 + \sqrt{5}}}{- 27 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 5 \sqrt{-2 + \sqrt{5}} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 6 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + \frac{80}{- 27 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 5 \sqrt{-2 + \sqrt{5}} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} + 6 \sqrt{5} \sqrt{3 + 3 \sqrt{5} + 2 \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} \sqrt{- 2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}} \right)} - 2 \sqrt{- \frac{\sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{40} + \frac{3}{80} + \frac{3 \sqrt{5}}{80}} \operatorname{atan}{\left(\frac{20 x}{5 \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 27 \sqrt{5} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 6 \sqrt{5} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}}} - \frac{80}{5 \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 27 \sqrt{5} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 6 \sqrt{5} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}}} - \frac{120 \sqrt{-2 + \sqrt{5}}}{5 \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 27 \sqrt{5} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 6 \sqrt{5} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}}} - \frac{5 \sqrt{5}}{5 \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 27 \sqrt{5} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 6 \sqrt{5} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}}} + \frac{21 \sqrt{5} \sqrt{-2 + \sqrt{5}}}{5 \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 27 \sqrt{5} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 6 \sqrt{5} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}}} + \frac{5 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{5 \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 27 \sqrt{5} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 6 \sqrt{5} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}}} + \frac{18 \sqrt{5} \sqrt{-2 + \sqrt{5}} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19}}{5 \sqrt{-2 + \sqrt{5}} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 27 \sqrt{5} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}} + 6 \sqrt{5} \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} \sqrt{- 2 \sqrt{2 \sqrt{5} \sqrt{-2 + \sqrt{5}} + \sqrt{5} + 19} + 3 + 3 \sqrt{5}}} \right)}"," ",0,"sqrt(-1/40 + sqrt(5)/80)*log(x**2 + x*(-8 - 21*sqrt(5)*sqrt(-2 + sqrt(5))/10 - sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/2 - sqrt(5)/2 + 12*sqrt(-2 + sqrt(5)) + 9*sqrt(5)*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/5) - 841*sqrt(5)*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/20 - 14351/40 - 441*sqrt(-2 + sqrt(5))/4 - 75*sqrt(5)*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/8 - 3*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 301*sqrt(5)*sqrt(-2 + sqrt(5))/10 + 7407*sqrt(5)/40 + 3913*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/40) - sqrt(-1/40 + sqrt(5)/80)*log(x**2 + x*(-8 - 12*sqrt(-2 + sqrt(5)) - sqrt(5)/2 + 21*sqrt(5)*sqrt(-2 + sqrt(5))/10 + sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/2 + 9*sqrt(5)*sqrt(-2 + sqrt(5))*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/5) - 3913*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/40 - 14351/40 - 75*sqrt(5)*sqrt(-2 + sqrt(5))*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/8 - 301*sqrt(5)*sqrt(-2 + sqrt(5))/10 - 3*sqrt(-2 + sqrt(5))*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 441*sqrt(-2 + sqrt(5))/4 + 7407*sqrt(5)/40 + 841*sqrt(5)*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/20) - 2*sqrt(3/80 + 3*sqrt(5)/80 + sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/40)*atan(-20*x/(-27*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 5*sqrt(-2 + sqrt(5))*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 6*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) - 18*sqrt(5)*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/(-27*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 5*sqrt(-2 + sqrt(5))*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 6*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) - 120*sqrt(-2 + sqrt(5))/(-27*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 5*sqrt(-2 + sqrt(5))*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 6*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 5*sqrt(5)/(-27*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 5*sqrt(-2 + sqrt(5))*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 6*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 5*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/(-27*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 5*sqrt(-2 + sqrt(5))*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 6*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 21*sqrt(5)*sqrt(-2 + sqrt(5))/(-27*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 5*sqrt(-2 + sqrt(5))*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 6*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 80/(-27*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 5*sqrt(-2 + sqrt(5))*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)) + 6*sqrt(5)*sqrt(3 + 3*sqrt(5) + 2*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19))*sqrt(-2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19))) - 2*sqrt(-sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/40 + 3/80 + 3*sqrt(5)/80)*atan(20*x/(5*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 27*sqrt(5)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 6*sqrt(5)*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5))) - 80/(5*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 27*sqrt(5)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 6*sqrt(5)*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5))) - 120*sqrt(-2 + sqrt(5))/(5*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 27*sqrt(5)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 6*sqrt(5)*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5))) - 5*sqrt(5)/(5*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 27*sqrt(5)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 6*sqrt(5)*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5))) + 21*sqrt(5)*sqrt(-2 + sqrt(5))/(5*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 27*sqrt(5)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 6*sqrt(5)*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5))) + 5*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/(5*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 27*sqrt(5)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 6*sqrt(5)*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5))) + 18*sqrt(5)*sqrt(-2 + sqrt(5))*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)/(5*sqrt(-2 + sqrt(5))*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 27*sqrt(5)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5)) + 6*sqrt(5)*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19)*sqrt(-2*sqrt(2*sqrt(5)*sqrt(-2 + sqrt(5)) + sqrt(5) + 19) + 3 + 3*sqrt(5))))","B",0
56,1,3834,0,3.664855," ","integrate(1/(4*x**4+4*x**2+4*x+1)**2,x)","\frac{36 x^{3} - 16 x^{2} + 42 x + 19}{80 x^{4} + 80 x^{2} + 80 x + 20} - \sqrt{- \frac{5959}{16000} + \frac{533 \sqrt{5}}{3200}} \log{\left(x^{2} + x \left(- \frac{1601676 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{13543383425} - \frac{1067784 \sqrt{2} \sqrt{-5959 + 2665 \sqrt{5}}}{1016389} + \frac{3131659367 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}}}{13543383425} + \frac{291689395}{1083470674} + \frac{470215 \sqrt{5}}{2032778} + \frac{94043 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{541735337}\right) - \frac{40634464149111451 \sqrt{5} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{27530691871904650} - \frac{2885835544225227917282997}{146738587677251784500} - \frac{83803227754187 \sqrt{2} \sqrt{-5959 + 2665 \sqrt{5}}}{100111606806926} - \frac{50208805356 \sqrt{2} \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{550613837438093} - \frac{538485754891933 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{14673858767725178450} - \frac{925321955096901411 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}}}{29347717535450356900} + \frac{484304611938766076267 \sqrt{5}}{55061383743809300} + \frac{22013036087014785403 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{6669935803511444750} \right)} + \sqrt{- \frac{5959}{16000} + \frac{533 \sqrt{5}}{3200}} \log{\left(x^{2} + x \left(- \frac{94043 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{541735337} - \frac{1601676 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{13543383425} - \frac{3131659367 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}}}{13543383425} + \frac{291689395}{1083470674} + \frac{1067784 \sqrt{2} \sqrt{-5959 + 2665 \sqrt{5}}}{1016389} + \frac{470215 \sqrt{5}}{2032778}\right) - \frac{22013036087014785403 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{6669935803511444750} - \frac{2885835544225227917282997}{146738587677251784500} - \frac{50208805356 \sqrt{2} \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{550613837438093} - \frac{538485754891933 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{14673858767725178450} + \frac{925321955096901411 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}}}{29347717535450356900} + \frac{83803227754187 \sqrt{2} \sqrt{-5959 + 2665 \sqrt{5}}}{100111606806926} + \frac{484304611938766076267 \sqrt{5}}{55061383743809300} + \frac{40634464149111451 \sqrt{5} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{27530691871904650} \right)} + 2 \sqrt{\frac{6291}{16000} + \frac{1599 \sqrt{5}}{3200} + \frac{\sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{4000}} \operatorname{atan}{\left(\frac{54173533700 x}{- 6440570878 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 1067784 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} - \frac{3203352 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{- 6440570878 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 1067784 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} - \frac{28456443600 \sqrt{2} \sqrt{-5959 + 2665 \sqrt{5}}}{- 6440570878 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 1067784 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + \frac{6263318734 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}}}{- 6440570878 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 1067784 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + \frac{7292234875}{- 6440570878 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 1067784 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + \frac{6265614875 \sqrt{5}}{- 6440570878 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 1067784 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + \frac{4702150 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{- 6440570878 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} + 1067784 \sqrt{10} \sqrt{6291 + 7995 \sqrt{5} + 4 \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} \sqrt{- 665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}} \right)} - 2 \sqrt{- \frac{\sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{4000} + \frac{6291}{16000} + \frac{1599 \sqrt{5}}{3200}} \operatorname{atan}{\left(\frac{54173533700 x}{2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 6440570878 \sqrt{10} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 1067784 \sqrt{10} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}}} - \frac{4702150 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 6440570878 \sqrt{10} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 1067784 \sqrt{10} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}}} - \frac{3203352 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639}}{2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 6440570878 \sqrt{10} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 1067784 \sqrt{10} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}}} - \frac{6263318734 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}}}{2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 6440570878 \sqrt{10} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 1067784 \sqrt{10} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}}} + \frac{7292234875}{2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 6440570878 \sqrt{10} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 1067784 \sqrt{10} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}}} + \frac{28456443600 \sqrt{2} \sqrt{-5959 + 2665 \sqrt{5}}}{2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 6440570878 \sqrt{10} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 1067784 \sqrt{10} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}}} + \frac{6265614875 \sqrt{5}}{2351075 \sqrt{-5959 + 2665 \sqrt{5}} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 6440570878 \sqrt{10} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}} + 1067784 \sqrt{10} \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} \sqrt{- 4 \sqrt{665 \sqrt{10} \sqrt{-5959 + 2665 \sqrt{5}} + 221195 \sqrt{5} + 36004639} + 6291 + 7995 \sqrt{5}}} \right)}"," ",0,"(36*x**3 - 16*x**2 + 42*x + 19)/(80*x**4 + 80*x**2 + 80*x + 20) - sqrt(-5959/16000 + 533*sqrt(5)/3200)*log(x**2 + x*(-1601676*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/13543383425 - 1067784*sqrt(2)*sqrt(-5959 + 2665*sqrt(5))/1016389 + 3131659367*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))/13543383425 + 291689395/1083470674 + 470215*sqrt(5)/2032778 + 94043*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/541735337) - 40634464149111451*sqrt(5)*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/27530691871904650 - 2885835544225227917282997/146738587677251784500 - 83803227754187*sqrt(2)*sqrt(-5959 + 2665*sqrt(5))/100111606806926 - 50208805356*sqrt(2)*sqrt(-5959 + 2665*sqrt(5))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/550613837438093 - 538485754891933*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/14673858767725178450 - 925321955096901411*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))/29347717535450356900 + 484304611938766076267*sqrt(5)/55061383743809300 + 22013036087014785403*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/6669935803511444750) + sqrt(-5959/16000 + 533*sqrt(5)/3200)*log(x**2 + x*(-94043*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/541735337 - 1601676*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/13543383425 - 3131659367*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))/13543383425 + 291689395/1083470674 + 1067784*sqrt(2)*sqrt(-5959 + 2665*sqrt(5))/1016389 + 470215*sqrt(5)/2032778) - 22013036087014785403*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/6669935803511444750 - 2885835544225227917282997/146738587677251784500 - 50208805356*sqrt(2)*sqrt(-5959 + 2665*sqrt(5))*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/550613837438093 - 538485754891933*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/14673858767725178450 + 925321955096901411*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))/29347717535450356900 + 83803227754187*sqrt(2)*sqrt(-5959 + 2665*sqrt(5))/100111606806926 + 484304611938766076267*sqrt(5)/55061383743809300 + 40634464149111451*sqrt(5)*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/27530691871904650) + 2*sqrt(6291/16000 + 1599*sqrt(5)/3200 + sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/4000)*atan(54173533700*x/(-6440570878*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 1067784*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) - 3203352*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/(-6440570878*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 1067784*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) - 28456443600*sqrt(2)*sqrt(-5959 + 2665*sqrt(5))/(-6440570878*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 1067784*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 6263318734*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))/(-6440570878*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 1067784*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 7292234875/(-6440570878*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 1067784*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 6265614875*sqrt(5)/(-6440570878*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 1067784*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 4702150*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/(-6440570878*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)) + 1067784*sqrt(10)*sqrt(6291 + 7995*sqrt(5) + 4*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639))*sqrt(-665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639))) - 2*sqrt(-sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/4000 + 6291/16000 + 1599*sqrt(5)/3200)*atan(54173533700*x/(2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 6440570878*sqrt(10)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 1067784*sqrt(10)*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5))) - 4702150*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/(2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 6440570878*sqrt(10)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 1067784*sqrt(10)*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5))) - 3203352*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)/(2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 6440570878*sqrt(10)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 1067784*sqrt(10)*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5))) - 6263318734*sqrt(10)*sqrt(-5959 + 2665*sqrt(5))/(2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 6440570878*sqrt(10)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 1067784*sqrt(10)*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5))) + 7292234875/(2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 6440570878*sqrt(10)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 1067784*sqrt(10)*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5))) + 28456443600*sqrt(2)*sqrt(-5959 + 2665*sqrt(5))/(2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 6440570878*sqrt(10)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 1067784*sqrt(10)*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5))) + 6265614875*sqrt(5)/(2351075*sqrt(-5959 + 2665*sqrt(5))*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 6440570878*sqrt(10)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5)) + 1067784*sqrt(10)*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639)*sqrt(-4*sqrt(665*sqrt(10)*sqrt(-5959 + 2665*sqrt(5)) + 221195*sqrt(5) + 36004639) + 6291 + 7995*sqrt(5))))","B",0
57,1,100,0,0.081421," ","integrate((8*x**4-15*x**3+8*x**2+24*x+8)**4,x)","\frac{4096 x^{17}}{17} - 1920 x^{16} + \frac{102784 x^{15}}{15} - \frac{75504 x^{14}}{7} - \frac{12095 x^{13}}{13} + 31128 x^{12} - \frac{331040 x^{11}}{11} - \frac{169584 x^{10}}{5} + \frac{641152 x^{9}}{9} + 36384 x^{8} - \frac{566912 x^{7}}{7} - 30720 x^{6} + \frac{538624 x^{5}}{5} + 139776 x^{4} + \frac{237568 x^{3}}{3} + 24576 x^{2} + 4096 x"," ",0,"4096*x**17/17 - 1920*x**16 + 102784*x**15/15 - 75504*x**14/7 - 12095*x**13/13 + 31128*x**12 - 331040*x**11/11 - 169584*x**10/5 + 641152*x**9/9 + 36384*x**8 - 566912*x**7/7 - 30720*x**6 + 538624*x**5/5 + 139776*x**4 + 237568*x**3/3 + 24576*x**2 + 4096*x","A",0
58,1,73,0,0.075758," ","integrate((8*x**4-15*x**3+8*x**2+24*x+8)**3,x)","\frac{512 x^{13}}{13} - 240 x^{12} + \frac{6936 x^{11}}{11} - \frac{4527 x^{10}}{10} - \frac{2936 x^{9}}{3} + 2097 x^{8} + \frac{5528 x^{7}}{7} - 2976 x^{6} - \frac{384 x^{5}}{5} + 5040 x^{4} + 5120 x^{3} + 2304 x^{2} + 512 x"," ",0,"512*x**13/13 - 240*x**12 + 6936*x**11/11 - 4527*x**10/10 - 2936*x**9/3 + 2097*x**8 + 5528*x**7/7 - 2976*x**6 - 384*x**5/5 + 5040*x**4 + 5120*x**3 + 2304*x**2 + 512*x","A",0
59,1,49,0,0.065758," ","integrate((8*x**4-15*x**3+8*x**2+24*x+8)**2,x)","\frac{64 x^{9}}{9} - 30 x^{8} + \frac{353 x^{7}}{7} + 24 x^{6} - \frac{528 x^{5}}{5} + 36 x^{4} + \frac{704 x^{3}}{3} + 192 x^{2} + 64 x"," ",0,"64*x**9/9 - 30*x**8 + 353*x**7/7 + 24*x**6 - 528*x**5/5 + 36*x**4 + 704*x**3/3 + 192*x**2 + 64*x","A",0
60,1,27,0,0.058274," ","integrate(8*x**4-15*x**3+8*x**2+24*x+8,x)","\frac{8 x^{5}}{5} - \frac{15 x^{4}}{4} + \frac{8 x^{3}}{3} + 12 x^{2} + 8 x"," ",0,"8*x**5/5 - 15*x**4/4 + 8*x**3/3 + 12*x**2 + 8*x","A",0
61,1,41,0,2.371597," ","integrate(1/(8*x**4-15*x**3+8*x**2+24*x+8),x)","\operatorname{RootSum} {\left(50326848 t^{4} + 765960 t^{2} + 12753 t + 64, \left( t \mapsto t \log{\left(\frac{100785893208 t^{3}}{4758335} - \frac{1430512512 t^{2}}{4758335} + \frac{72982352521 t}{223641745} + x + \frac{2270349121}{1789133960} \right)} \right)\right)}"," ",0,"RootSum(50326848*_t**4 + 765960*_t**2 + 12753*_t + 64, Lambda(_t, _t*log(100785893208*_t**3/4758335 - 1430512512*_t**2/4758335 + 72982352521*_t/223641745 + x + 2270349121/1789133960)))","A",0
62,1,3839,0,3.946429," ","integrate(1/(8*x**4-15*x**3+8*x**2+24*x+8)**2,x)","\frac{39280 x^{3} - 94314 x^{2} + 89033 x + 72888}{1290432 x^{4} - 2419560 x^{3} + 1290432 x^{2} + 3871296 x + 1290432} + \sqrt{- \frac{59644114671451}{16787862468089856} + \frac{5073830635 \sqrt{517}}{32471687559168}} \log{\left(x^{2} + x \left(- \frac{112396995020468503306932567484755463}{603722125611976319526135612861060} - \frac{29643869829812833230907750777733957 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{1936419398792394461637855141912238396080} - \frac{181533261043120360732 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{150930531402994079881533903215265} - \frac{46926347979646613249222 \sqrt{517}}{29746860362632912338339} + \frac{994065243322493861977 \sqrt{78} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{1427849297406379792240272} + \frac{994065243322493861977 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{1290946265861596307758570094608158930720}\right) - \frac{4597149706773066968921854791223560238809189313591735176029 \sqrt{517} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{1843276718699869862645060404837476389014874805380627572841955840} - \frac{1022132763720267175882780425063613131088601935958303878081158710949715459967411486447}{302201812380681690634631534385892067350866441656553353409624708723614680800} - \frac{1063809471733428012617611152668277664372838283556533836993 \sqrt{78} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{6896193703069972436744723519626607862706189949382980866560} - \frac{890360389298500646731845595593034670326044595870824169313 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{9352473884121677079601749613489889898672849258229891014611209554309158400} - \frac{45113976327488809325094501633826014671791 \sqrt{78} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{107753026610468319324136304994165747854784217959109076040} + \frac{42698009636515468718900942734274005212255282299552802371283821308121207 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{9352473884121677079601749613489889898672849258229891014611209554309158400} + \frac{68548776709669674081892851407413209373218007060934353137152573209405073 \sqrt{517}}{460819179674967465661265101209369097253718701345156893210488960} + \frac{274196431933554153007434570764680602132735098624644758583157528631167033 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{4835228998090907050154104550174273077613863066504853654553995339577834892800} \right)} - \sqrt{- \frac{59644114671451}{16787862468089856} + \frac{5073830635 \sqrt{517}}{32471687559168}} \log{\left(x^{2} + x \left(- \frac{112396995020468503306932567484755463}{603722125611976319526135612861060} - \frac{994065243322493861977 \sqrt{78} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{1427849297406379792240272} - \frac{46926347979646613249222 \sqrt{517}}{29746860362632912338339} + \frac{181533261043120360732 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{150930531402994079881533903215265} + \frac{29643869829812833230907750777733957 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{1936419398792394461637855141912238396080} + \frac{994065243322493861977 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{1290946265861596307758570094608158930720}\right) - \frac{274196431933554153007434570764680602132735098624644758583157528631167033 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{4835228998090907050154104550174273077613863066504853654553995339577834892800} - \frac{1022132763720267175882780425063613131088601935958303878081158710949715459967411486447}{302201812380681690634631534385892067350866441656553353409624708723614680800} - \frac{890360389298500646731845595593034670326044595870824169313 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{9352473884121677079601749613489889898672849258229891014611209554309158400} - \frac{42698009636515468718900942734274005212255282299552802371283821308121207 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{9352473884121677079601749613489889898672849258229891014611209554309158400} - \frac{45113976327488809325094501633826014671791 \sqrt{78} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{107753026610468319324136304994165747854784217959109076040} + \frac{1063809471733428012617611152668277664372838283556533836993 \sqrt{78} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{6896193703069972436744723519626607862706189949382980866560} + \frac{68548776709669674081892851407413209373218007060934353137152573209405073 \sqrt{517}}{460819179674967465661265101209369097253718701345156893210488960} + \frac{4597149706773066968921854791223560238809189313591735176029 \sqrt{517} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{1843276718699869862645060404837476389014874805380627572841955840} \right)} - 2 \sqrt{\frac{59653665894623}{16787862468089856} + \frac{5073830635 \sqrt{517}}{10823895853056} + \frac{\sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{4196965617022464}} \operatorname{atan}{\left(- \frac{7745677595169577846551420567648953584320 x}{- 59292486929118917272637172801533436 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 994065243322493861977 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} - \frac{2982195729967481585931 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{- 59292486929118917272637172801533436 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 994065243322493861977 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} - \frac{2696261047060775175517112572266328310 \sqrt{78} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{- 59292486929118917272637172801533436 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 994065243322493861977 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + \frac{6109491182230238698537149348154570111680 \sqrt{517}}{- 59292486929118917272637172801533436 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 994065243322493861977 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + \frac{4658097005851641417570772608 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{- 59292486929118917272637172801533436 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 994065243322493861977 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + \frac{59287739659625666461815501555467914 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{- 59292486929118917272637172801533436 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 994065243322493861977 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + \frac{721019529648624138729760776730387270795368}{- 59292486929118917272637172801533436 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} + 994065243322493861977 \sqrt{40326} \sqrt{59653665894623 + 7869511314885 \sqrt{517} + 4 \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} \sqrt{- 7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}} \right)} - 2 \sqrt{- \frac{\sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{4196965617022464} + \frac{59653665894623}{16787862468089856} + \frac{5073830635 \sqrt{517}}{10823895853056}} \operatorname{atan}{\left(\frac{7745677595169577846551420567648953584320 x}{2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 59292486929118917272637172801533436 \sqrt{40326} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 994065243322493861977 \sqrt{40326} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}}} - \frac{721019529648624138729760776730387270795368}{2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 59292486929118917272637172801533436 \sqrt{40326} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 994065243322493861977 \sqrt{40326} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}}} - \frac{2696261047060775175517112572266328310 \sqrt{78} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 59292486929118917272637172801533436 \sqrt{40326} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 994065243322493861977 \sqrt{40326} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}}} - \frac{6109491182230238698537149348154570111680 \sqrt{517}}{2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 59292486929118917272637172801533436 \sqrt{40326} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 994065243322493861977 \sqrt{40326} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}}} + \frac{4658097005851641417570772608 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 59292486929118917272637172801533436 \sqrt{40326} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 994065243322493861977 \sqrt{40326} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}}} + \frac{59287739659625666461815501555467914 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}}}{2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 59292486929118917272637172801533436 \sqrt{40326} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 994065243322493861977 \sqrt{40326} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}}} + \frac{2982195729967481585931 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675}}{2329048502925820708785386304 \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 59292486929118917272637172801533436 \sqrt{40326} \sqrt{- 4 \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} + 59653665894623 + 7869511314885 \sqrt{517}} + 994065243322493861977 \sqrt{40326} \sqrt{7120427417275887 \sqrt{40326} \sqrt{-59644114671451 + 2623170438295 \sqrt{517}} + 6263621568587150042935 \sqrt{517} + 3557579971691991294769382675} \sqrt{- 4 \sqrt{7120427417275887 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3557579971691991294769382675)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517))) - 721019529648624138729760776730387270795368/(2329048502925820708785386304*sqrt(-59644114671451 + 2623170438295*sqrt(517))*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 59292486929118917272637172801533436*sqrt(40326)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 994065243322493861977*sqrt(40326)*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517))) - 2696261047060775175517112572266328310*sqrt(78)*sqrt(-59644114671451 + 2623170438295*sqrt(517))/(2329048502925820708785386304*sqrt(-59644114671451 + 2623170438295*sqrt(517))*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 59292486929118917272637172801533436*sqrt(40326)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 994065243322493861977*sqrt(40326)*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517))) - 6109491182230238698537149348154570111680*sqrt(517)/(2329048502925820708785386304*sqrt(-59644114671451 + 2623170438295*sqrt(517))*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 59292486929118917272637172801533436*sqrt(40326)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 994065243322493861977*sqrt(40326)*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517))) + 4658097005851641417570772608*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675)/(2329048502925820708785386304*sqrt(-59644114671451 + 2623170438295*sqrt(517))*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 59292486929118917272637172801533436*sqrt(40326)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 994065243322493861977*sqrt(40326)*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517))) + 59287739659625666461815501555467914*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517))/(2329048502925820708785386304*sqrt(-59644114671451 + 2623170438295*sqrt(517))*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 59292486929118917272637172801533436*sqrt(40326)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 994065243322493861977*sqrt(40326)*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517))) + 2982195729967481585931*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517))*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675)/(2329048502925820708785386304*sqrt(-59644114671451 + 2623170438295*sqrt(517))*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 59292486929118917272637172801533436*sqrt(40326)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517)) + 994065243322493861977*sqrt(40326)*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675)*sqrt(-4*sqrt(7120427417275887*sqrt(40326)*sqrt(-59644114671451 + 2623170438295*sqrt(517)) + 6263621568587150042935*sqrt(517) + 3557579971691991294769382675) + 59653665894623 + 7869511314885*sqrt(517))))","B",0
63,1,185,0,0.114418," ","integrate((b**5*x**5+5*a*b**4*x**4+10*a**2*b**3*x**3+10*a**3*b**2*x**2+5*a**4*b*x+a**5)**3,x)","a^{15} x + \frac{15 a^{14} b x^{2}}{2} + 35 a^{13} b^{2} x^{3} + \frac{455 a^{12} b^{3} x^{4}}{4} + 273 a^{11} b^{4} x^{5} + \frac{1001 a^{10} b^{5} x^{6}}{2} + 715 a^{9} b^{6} x^{7} + \frac{6435 a^{8} b^{7} x^{8}}{8} + 715 a^{7} b^{8} x^{9} + \frac{1001 a^{6} b^{9} x^{10}}{2} + 273 a^{5} b^{10} x^{11} + \frac{455 a^{4} b^{11} x^{12}}{4} + 35 a^{3} b^{12} x^{13} + \frac{15 a^{2} b^{13} x^{14}}{2} + a b^{14} x^{15} + \frac{b^{15} x^{16}}{16}"," ",0,"a**15*x + 15*a**14*b*x**2/2 + 35*a**13*b**2*x**3 + 455*a**12*b**3*x**4/4 + 273*a**11*b**4*x**5 + 1001*a**10*b**5*x**6/2 + 715*a**9*b**6*x**7 + 6435*a**8*b**7*x**8/8 + 715*a**7*b**8*x**9 + 1001*a**6*b**9*x**10/2 + 273*a**5*b**10*x**11 + 455*a**4*b**11*x**12/4 + 35*a**3*b**12*x**13 + 15*a**2*b**13*x**14/2 + a*b**14*x**15 + b**15*x**16/16","B",0
64,1,114,0,0.100767," ","integrate((b**5*x**5+5*a*b**4*x**4+10*a**2*b**3*x**3+10*a**3*b**2*x**2+5*a**4*b*x+a**5)**2,x)","a^{10} x + 5 a^{9} b x^{2} + 15 a^{8} b^{2} x^{3} + 30 a^{7} b^{3} x^{4} + 42 a^{6} b^{4} x^{5} + 42 a^{5} b^{5} x^{6} + 30 a^{4} b^{6} x^{7} + 15 a^{3} b^{7} x^{8} + 5 a^{2} b^{8} x^{9} + a b^{9} x^{10} + \frac{b^{10} x^{11}}{11}"," ",0,"a**10*x + 5*a**9*b*x**2 + 15*a**8*b**2*x**3 + 30*a**7*b**3*x**4 + 42*a**6*b**4*x**5 + 42*a**5*b**5*x**6 + 30*a**4*b**6*x**7 + 15*a**3*b**7*x**8 + 5*a**2*b**8*x**9 + a*b**9*x**10 + b**10*x**11/11","B",0
65,1,60,0,0.074161," ","integrate(b**5*x**5+5*a*b**4*x**4+10*a**2*b**3*x**3+10*a**3*b**2*x**2+5*a**4*b*x+a**5,x)","a^{5} x + \frac{5 a^{4} b x^{2}}{2} + \frac{10 a^{3} b^{2} x^{3}}{3} + \frac{5 a^{2} b^{3} x^{4}}{2} + a b^{4} x^{5} + \frac{b^{5} x^{6}}{6}"," ",0,"a**5*x + 5*a**4*b*x**2/2 + 10*a**3*b**2*x**3/3 + 5*a**2*b**3*x**4/2 + a*b**4*x**5 + b**5*x**6/6","B",0
66,1,49,0,0.287512," ","integrate(1/(b**5*x**5+5*a*b**4*x**4+10*a**2*b**3*x**3+10*a**3*b**2*x**2+5*a**4*b*x+a**5),x)","- \frac{1}{4 a^{4} b + 16 a^{3} b^{2} x + 24 a^{2} b^{3} x^{2} + 16 a b^{4} x^{3} + 4 b^{5} x^{4}}"," ",0,"-1/(4*a**4*b + 16*a**3*b**2*x + 24*a**2*b**3*x**2 + 16*a*b**4*x**3 + 4*b**5*x**4)","B",0
67,1,109,0,0.593420," ","integrate(1/(b**5*x**5+5*a*b**4*x**4+10*a**2*b**3*x**3+10*a**3*b**2*x**2+5*a**4*b*x+a**5)**2,x)","- \frac{1}{9 a^{9} b + 81 a^{8} b^{2} x + 324 a^{7} b^{3} x^{2} + 756 a^{6} b^{4} x^{3} + 1134 a^{5} b^{5} x^{4} + 1134 a^{4} b^{6} x^{5} + 756 a^{3} b^{7} x^{6} + 324 a^{2} b^{8} x^{7} + 81 a b^{9} x^{8} + 9 b^{10} x^{9}}"," ",0,"-1/(9*a**9*b + 81*a**8*b**2*x + 324*a**7*b**3*x**2 + 756*a**6*b**4*x**3 + 1134*a**5*b**5*x**4 + 1134*a**4*b**6*x**5 + 756*a**3*b**7*x**6 + 324*a**2*b**8*x**7 + 81*a*b**9*x**8 + 9*b**10*x**9)","B",0
68,1,168,0,0.935695," ","integrate(1/(b**5*x**5+5*a*b**4*x**4+10*a**2*b**3*x**3+10*a**3*b**2*x**2+5*a**4*b*x+a**5)**3,x)","- \frac{1}{14 a^{14} b + 196 a^{13} b^{2} x + 1274 a^{12} b^{3} x^{2} + 5096 a^{11} b^{4} x^{3} + 14014 a^{10} b^{5} x^{4} + 28028 a^{9} b^{6} x^{5} + 42042 a^{8} b^{7} x^{6} + 48048 a^{7} b^{8} x^{7} + 42042 a^{6} b^{9} x^{8} + 28028 a^{5} b^{10} x^{9} + 14014 a^{4} b^{11} x^{10} + 5096 a^{3} b^{12} x^{11} + 1274 a^{2} b^{13} x^{12} + 196 a b^{14} x^{13} + 14 b^{15} x^{14}}"," ",0,"-1/(14*a**14*b + 196*a**13*b**2*x + 1274*a**12*b**3*x**2 + 5096*a**11*b**4*x**3 + 14014*a**10*b**5*x**4 + 28028*a**9*b**6*x**5 + 42042*a**8*b**7*x**6 + 48048*a**7*b**8*x**7 + 42042*a**6*b**9*x**8 + 28028*a**5*b**10*x**9 + 14014*a**4*b**11*x**10 + 5096*a**3*b**12*x**11 + 1274*a**2*b**13*x**12 + 196*a*b**14*x**13 + 14*b**15*x**14)","B",0
69,1,29,0,0.153595," ","integrate(1/(x**5+x**3+x**2+1),x)","\frac{\log{\left(x + 1 \right)}}{6} + \frac{\log{\left(x^{2} + 1 \right)}}{4} - \frac{\log{\left(x^{2} - x + 1 \right)}}{3} + \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"log(x + 1)/6 + log(x**2 + 1)/4 - log(x**2 - x + 1)/3 + atan(x)/2","A",0
70,1,80,0,0.076637," ","integrate((-16*x**6+32*x**4-19*x**2+3)**4,x)","\frac{65536 x^{25}}{25} - \frac{524288 x^{23}}{23} + \frac{1884160 x^{21}}{21} - \frac{4014080 x^{19}}{19} + \frac{5633536 x^{17}}{17} - \frac{1094656 x^{15}}{3} + \frac{3764416 x^{13}}{13} - \frac{1841600 x^{11}}{11} + \frac{634321 x^{9}}{9} - \frac{149700 x^{7}}{7} + 4590 x^{5} - 684 x^{3} + 81 x"," ",0,"65536*x**25/25 - 524288*x**23/23 + 1884160*x**21/21 - 4014080*x**19/19 + 5633536*x**17/17 - 1094656*x**15/3 + 3764416*x**13/13 - 1841600*x**11/11 + 634321*x**9/9 - 149700*x**7/7 + 4590*x**5 - 684*x**3 + 81*x","A",0
71,1,60,0,0.069715," ","integrate((-16*x**6+32*x**4-19*x**2+3)**3,x)","- \frac{4096 x^{19}}{19} + \frac{24576 x^{17}}{17} - \frac{21248 x^{15}}{5} + \frac{93440 x^{13}}{13} - \frac{84912 x^{11}}{11} + \frac{16448 x^{9}}{3} - 2605 x^{7} + \frac{4113 x^{5}}{5} - 171 x^{3} + 27 x"," ",0,"-4096*x**19/19 + 24576*x**17/17 - 21248*x**15/5 + 93440*x**13/13 - 84912*x**11/11 + 16448*x**9/3 - 2605*x**7 + 4113*x**5/5 - 171*x**3 + 27*x","A",0
72,1,41,0,0.064000," ","integrate((-16*x**6+32*x**4-19*x**2+3)**2,x)","\frac{256 x^{13}}{13} - \frac{1024 x^{11}}{11} + \frac{544 x^{9}}{3} - \frac{1312 x^{7}}{7} + \frac{553 x^{5}}{5} - 38 x^{3} + 9 x"," ",0,"256*x**13/13 - 1024*x**11/11 + 544*x**9/3 - 1312*x**7/7 + 553*x**5/5 - 38*x**3 + 9*x","A",0
73,1,22,0,0.056927," ","integrate(-16*x**6+32*x**4-19*x**2+3,x)","- \frac{16 x^{7}}{7} + \frac{32 x^{5}}{5} - \frac{19 x^{3}}{3} + 3 x"," ",0,"-16*x**7/7 + 32*x**5/5 - 19*x**3/3 + 3*x","A",0
74,1,63,0,0.153688," ","integrate(1/(-16*x**6+32*x**4-19*x**2+3),x)","\frac{\sqrt{3} \log{\left(x - \frac{\sqrt{3}}{2} \right)}}{6} - \frac{\sqrt{3} \log{\left(x + \frac{\sqrt{3}}{2} \right)}}{6} - \frac{\log{\left(x^{2} - \frac{3 x}{2} + \frac{1}{2} \right)}}{6} + \frac{\log{\left(x^{2} + \frac{3 x}{2} + \frac{1}{2} \right)}}{6}"," ",0,"sqrt(3)*log(x - sqrt(3)/2)/6 - sqrt(3)*log(x + sqrt(3)/2)/6 - log(x**2 - 3*x/2 + 1/2)/6 + log(x**2 + 3*x/2 + 1/2)/6","B",0
75,1,104,0,1.358818," ","integrate(1/(-16*x**6+32*x**4-19*x**2+3)**2,x)","\frac{- 80 x^{5} + 104 x^{3} - 27 x}{288 x^{6} - 576 x^{4} + 342 x^{2} - 54} - \frac{67 \log{\left(x - 1 \right)}}{108} + \frac{7 \log{\left(x - \frac{1}{2} \right)}}{54} - \frac{7 \log{\left(x + \frac{1}{2} \right)}}{54} + \frac{67 \log{\left(x + 1 \right)}}{108} + \frac{5 \sqrt{3} \log{\left(x - \frac{\sqrt{3}}{2} \right)}}{18} - \frac{5 \sqrt{3} \log{\left(x + \frac{\sqrt{3}}{2} \right)}}{18}"," ",0,"(-80*x**5 + 104*x**3 - 27*x)/(288*x**6 - 576*x**4 + 342*x**2 - 54) - 67*log(x - 1)/108 + 7*log(x - 1/2)/54 - 7*log(x + 1/2)/54 + 67*log(x + 1)/108 + 5*sqrt(3)*log(x - sqrt(3)/2)/18 - 5*sqrt(3)*log(x + sqrt(3)/2)/18","A",0
76,1,134,0,1.452541," ","integrate(1/(-16*x**6+32*x**4-19*x**2+3)**3,x)","- \frac{36608 x^{11} - 111360 x^{9} + 125280 x^{7} - 63680 x^{5} + 14331 x^{3} - 1197 x}{55296 x^{12} - 221184 x^{10} + 352512 x^{8} - 283392 x^{6} + 119448 x^{4} - 24624 x^{2} + 1944} - \frac{3913 \log{\left(x - 1 \right)}}{1296} - \frac{67 \log{\left(x - \frac{1}{2} \right)}}{324} + \frac{67 \log{\left(x + \frac{1}{2} \right)}}{324} + \frac{3913 \log{\left(x + 1 \right)}}{1296} + \frac{67 \sqrt{3} \log{\left(x - \frac{\sqrt{3}}{2} \right)}}{36} - \frac{67 \sqrt{3} \log{\left(x + \frac{\sqrt{3}}{2} \right)}}{36}"," ",0,"-(36608*x**11 - 111360*x**9 + 125280*x**7 - 63680*x**5 + 14331*x**3 - 1197*x)/(55296*x**12 - 221184*x**10 + 352512*x**8 - 283392*x**6 + 119448*x**4 - 24624*x**2 + 1944) - 3913*log(x - 1)/1296 - 67*log(x - 1/2)/324 + 67*log(x + 1/2)/324 + 3913*log(x + 1)/1296 + 67*sqrt(3)*log(x - sqrt(3)/2)/36 - 67*sqrt(3)*log(x + sqrt(3)/2)/36","A",0
77,1,296,0,1.426451," ","integrate(1/(x**6-7*x**4+7*x**2-1)**2,x)","\frac{- 21 x^{5} + 140 x^{3} - 103 x}{128 x^{6} - 896 x^{4} + 896 x^{2} - 128} - \frac{5 \log{\left(x - 1 \right)}}{64} + \frac{5 \log{\left(x + 1 \right)}}{64} + \left(- \frac{1}{256} + \frac{3 \sqrt{2}}{1024}\right) \log{\left(x - \frac{8071264001}{202624020} - \frac{471550901878784 \left(- \frac{1}{256} + \frac{3 \sqrt{2}}{1024}\right)^{3}}{2979765} + \frac{1299552375287054336 \left(- \frac{1}{256} + \frac{3 \sqrt{2}}{1024}\right)^{5}}{50656005} + \frac{8071264001 \sqrt{2}}{270165360} \right)} + \left(- \frac{3 \sqrt{2}}{1024} - \frac{1}{256}\right) \log{\left(x - \frac{8071264001 \sqrt{2}}{270165360} - \frac{8071264001}{202624020} + \frac{1299552375287054336 \left(- \frac{3 \sqrt{2}}{1024} - \frac{1}{256}\right)^{5}}{50656005} - \frac{471550901878784 \left(- \frac{3 \sqrt{2}}{1024} - \frac{1}{256}\right)^{3}}{2979765} \right)} + \left(\frac{1}{256} - \frac{3 \sqrt{2}}{1024}\right) \log{\left(x - \frac{8071264001 \sqrt{2}}{270165360} + \frac{1299552375287054336 \left(\frac{1}{256} - \frac{3 \sqrt{2}}{1024}\right)^{5}}{50656005} - \frac{471550901878784 \left(\frac{1}{256} - \frac{3 \sqrt{2}}{1024}\right)^{3}}{2979765} + \frac{8071264001}{202624020} \right)} + \left(\frac{1}{256} + \frac{3 \sqrt{2}}{1024}\right) \log{\left(x - \frac{471550901878784 \left(\frac{1}{256} + \frac{3 \sqrt{2}}{1024}\right)^{3}}{2979765} + \frac{1299552375287054336 \left(\frac{1}{256} + \frac{3 \sqrt{2}}{1024}\right)^{5}}{50656005} + \frac{8071264001}{202624020} + \frac{8071264001 \sqrt{2}}{270165360} \right)}"," ",0,"(-21*x**5 + 140*x**3 - 103*x)/(128*x**6 - 896*x**4 + 896*x**2 - 128) - 5*log(x - 1)/64 + 5*log(x + 1)/64 + (-1/256 + 3*sqrt(2)/1024)*log(x - 8071264001/202624020 - 471550901878784*(-1/256 + 3*sqrt(2)/1024)**3/2979765 + 1299552375287054336*(-1/256 + 3*sqrt(2)/1024)**5/50656005 + 8071264001*sqrt(2)/270165360) + (-3*sqrt(2)/1024 - 1/256)*log(x - 8071264001*sqrt(2)/270165360 - 8071264001/202624020 + 1299552375287054336*(-3*sqrt(2)/1024 - 1/256)**5/50656005 - 471550901878784*(-3*sqrt(2)/1024 - 1/256)**3/2979765) + (1/256 - 3*sqrt(2)/1024)*log(x - 8071264001*sqrt(2)/270165360 + 1299552375287054336*(1/256 - 3*sqrt(2)/1024)**5/50656005 - 471550901878784*(1/256 - 3*sqrt(2)/1024)**3/2979765 + 8071264001/202624020) + (1/256 + 3*sqrt(2)/1024)*log(x - 471550901878784*(1/256 + 3*sqrt(2)/1024)**3/2979765 + 1299552375287054336*(1/256 + 3*sqrt(2)/1024)**5/50656005 + 8071264001/202624020 + 8071264001*sqrt(2)/270165360)","B",0
78,1,209,0,0.693833," ","integrate(x**3/(c+(b*x+a)**2),x)","- \frac{2 a x}{b^{3}} + \left(- \frac{a \sqrt{- c} \left(a^{2} - 3 c\right)}{2 b^{4} c} + \frac{3 a^{2} - c}{2 b^{4}}\right) \log{\left(x + \frac{a^{4} - 2 b^{4} c \left(- \frac{a \sqrt{- c} \left(a^{2} - 3 c\right)}{2 b^{4} c} + \frac{3 a^{2} - c}{2 b^{4}}\right) - c^{2}}{a^{3} b - 3 a b c} \right)} + \left(\frac{a \sqrt{- c} \left(a^{2} - 3 c\right)}{2 b^{4} c} + \frac{3 a^{2} - c}{2 b^{4}}\right) \log{\left(x + \frac{a^{4} - 2 b^{4} c \left(\frac{a \sqrt{- c} \left(a^{2} - 3 c\right)}{2 b^{4} c} + \frac{3 a^{2} - c}{2 b^{4}}\right) - c^{2}}{a^{3} b - 3 a b c} \right)} + \frac{x^{2}}{2 b^{2}}"," ",0,"-2*a*x/b**3 + (-a*sqrt(-c)*(a**2 - 3*c)/(2*b**4*c) + (3*a**2 - c)/(2*b**4))*log(x + (a**4 - 2*b**4*c*(-a*sqrt(-c)*(a**2 - 3*c)/(2*b**4*c) + (3*a**2 - c)/(2*b**4)) - c**2)/(a**3*b - 3*a*b*c)) + (a*sqrt(-c)*(a**2 - 3*c)/(2*b**4*c) + (3*a**2 - c)/(2*b**4))*log(x + (a**4 - 2*b**4*c*(a*sqrt(-c)*(a**2 - 3*c)/(2*b**4*c) + (3*a**2 - c)/(2*b**4)) - c**2)/(a**3*b - 3*a*b*c)) + x**2/(2*b**2)","B",0
79,1,153,0,0.461604," ","integrate(x**2/(c+(b*x+a)**2),x)","\left(- \frac{a}{b^{3}} - \frac{\sqrt{- c} \left(a^{2} - c\right)}{2 b^{3} c}\right) \log{\left(x + \frac{a^{3} + a c + 2 b^{3} c \left(- \frac{a}{b^{3}} - \frac{\sqrt{- c} \left(a^{2} - c\right)}{2 b^{3} c}\right)}{a^{2} b - b c} \right)} + \left(- \frac{a}{b^{3}} + \frac{\sqrt{- c} \left(a^{2} - c\right)}{2 b^{3} c}\right) \log{\left(x + \frac{a^{3} + a c + 2 b^{3} c \left(- \frac{a}{b^{3}} + \frac{\sqrt{- c} \left(a^{2} - c\right)}{2 b^{3} c}\right)}{a^{2} b - b c} \right)} + \frac{x}{b^{2}}"," ",0,"(-a/b**3 - sqrt(-c)*(a**2 - c)/(2*b**3*c))*log(x + (a**3 + a*c + 2*b**3*c*(-a/b**3 - sqrt(-c)*(a**2 - c)/(2*b**3*c)))/(a**2*b - b*c)) + (-a/b**3 + sqrt(-c)*(a**2 - c)/(2*b**3*c))*log(x + (a**3 + a*c + 2*b**3*c*(-a/b**3 + sqrt(-c)*(a**2 - c)/(2*b**3*c)))/(a**2*b - b*c)) + x/b**2","B",0
80,1,124,0,0.249695," ","integrate(x/(c+(b*x+a)**2),x)","\left(- \frac{a \sqrt{- c}}{2 b^{2} c} + \frac{1}{2 b^{2}}\right) \log{\left(x + \frac{a^{2} - 2 b^{2} c \left(- \frac{a \sqrt{- c}}{2 b^{2} c} + \frac{1}{2 b^{2}}\right) + c}{a b} \right)} + \left(\frac{a \sqrt{- c}}{2 b^{2} c} + \frac{1}{2 b^{2}}\right) \log{\left(x + \frac{a^{2} - 2 b^{2} c \left(\frac{a \sqrt{- c}}{2 b^{2} c} + \frac{1}{2 b^{2}}\right) + c}{a b} \right)}"," ",0,"(-a*sqrt(-c)/(2*b**2*c) + 1/(2*b**2))*log(x + (a**2 - 2*b**2*c*(-a*sqrt(-c)/(2*b**2*c) + 1/(2*b**2)) + c)/(a*b)) + (a*sqrt(-c)/(2*b**2*c) + 1/(2*b**2))*log(x + (a**2 - 2*b**2*c*(a*sqrt(-c)/(2*b**2*c) + 1/(2*b**2)) + c)/(a*b))","B",0
81,1,54,0,0.186408," ","integrate(1/(c+(b*x+a)**2),x)","\frac{- \frac{\sqrt{- \frac{1}{c}} \log{\left(x + \frac{a - c \sqrt{- \frac{1}{c}}}{b} \right)}}{2} + \frac{\sqrt{- \frac{1}{c}} \log{\left(x + \frac{a + c \sqrt{- \frac{1}{c}}}{b} \right)}}{2}}{b}"," ",0,"(-sqrt(-1/c)*log(x + (a - c*sqrt(-1/c))/b)/2 + sqrt(-1/c)*log(x + (a + c*sqrt(-1/c))/b)/2)/b","B",0
82,1,738,0,3.403175," ","integrate(1/x/(c+(b*x+a)**2),x)","\left(- \frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right) \log{\left(x + \frac{- 4 a^{6} c \left(- \frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right)^{2} + 4 a^{4} c^{2} \left(- \frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right)^{2} - 6 a^{4} c \left(- \frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right) + 20 a^{2} c^{3} \left(- \frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right)^{2} - 12 a^{2} c^{2} \left(- \frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right) + 10 a^{2} c + 12 c^{4} \left(- \frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right)^{2} - 6 c^{3} \left(- \frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right) - 6 c^{2}}{a^{3} b + 9 a b c} \right)} + \left(\frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right) \log{\left(x + \frac{- 4 a^{6} c \left(\frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right)^{2} + 4 a^{4} c^{2} \left(\frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right)^{2} - 6 a^{4} c \left(\frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right) + 20 a^{2} c^{3} \left(\frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right)^{2} - 12 a^{2} c^{2} \left(\frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right) + 10 a^{2} c + 12 c^{4} \left(\frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right)^{2} - 6 c^{3} \left(\frac{a \sqrt{- c}}{2 c \left(a^{2} + c\right)} - \frac{1}{2 \left(a^{2} + c\right)}\right) - 6 c^{2}}{a^{3} b + 9 a b c} \right)} + \frac{\log{\left(x + \frac{- \frac{4 a^{6} c}{\left(a^{2} + c\right)^{2}} + \frac{4 a^{4} c^{2}}{\left(a^{2} + c\right)^{2}} - \frac{6 a^{4} c}{a^{2} + c} + \frac{20 a^{2} c^{3}}{\left(a^{2} + c\right)^{2}} - \frac{12 a^{2} c^{2}}{a^{2} + c} + 10 a^{2} c + \frac{12 c^{4}}{\left(a^{2} + c\right)^{2}} - \frac{6 c^{3}}{a^{2} + c} - 6 c^{2}}{a^{3} b + 9 a b c} \right)}}{a^{2} + c}"," ",0,"(-a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c)))*log(x + (-4*a**6*c*(-a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c)))**2 + 4*a**4*c**2*(-a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c)))**2 - 6*a**4*c*(-a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c))) + 20*a**2*c**3*(-a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c)))**2 - 12*a**2*c**2*(-a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c))) + 10*a**2*c + 12*c**4*(-a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c)))**2 - 6*c**3*(-a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c))) - 6*c**2)/(a**3*b + 9*a*b*c)) + (a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c)))*log(x + (-4*a**6*c*(a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c)))**2 + 4*a**4*c**2*(a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c)))**2 - 6*a**4*c*(a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c))) + 20*a**2*c**3*(a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c)))**2 - 12*a**2*c**2*(a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c))) + 10*a**2*c + 12*c**4*(a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c)))**2 - 6*c**3*(a*sqrt(-c)/(2*c*(a**2 + c)) - 1/(2*(a**2 + c))) - 6*c**2)/(a**3*b + 9*a*b*c)) + log(x + (-4*a**6*c/(a**2 + c)**2 + 4*a**4*c**2/(a**2 + c)**2 - 6*a**4*c/(a**2 + c) + 20*a**2*c**3/(a**2 + c)**2 - 12*a**2*c**2/(a**2 + c) + 10*a**2*c + 12*c**4/(a**2 + c)**2 - 6*c**3/(a**2 + c) - 6*c**2)/(a**3*b + 9*a*b*c))/(a**2 + c)","B",0
83,1,1620,0,11.116202," ","integrate(1/x**2/(c+(b*x+a)**2),x)","- \frac{2 a b \log{\left(x + \frac{- \frac{16 a^{13} b^{2} c}{\left(a^{2} + c\right)^{4}} + \frac{48 a^{11} b^{2} c^{2}}{\left(a^{2} + c\right)^{4}} + \frac{352 a^{9} b^{2} c^{3}}{\left(a^{2} + c\right)^{4}} - \frac{20 a^{9} b^{2} c}{\left(a^{2} + c\right)^{2}} + \frac{608 a^{7} b^{2} c^{4}}{\left(a^{2} + c\right)^{4}} - \frac{64 a^{7} b^{2} c^{2}}{\left(a^{2} + c\right)^{2}} + \frac{432 a^{5} b^{2} c^{5}}{\left(a^{2} + c\right)^{4}} - \frac{72 a^{5} b^{2} c^{3}}{\left(a^{2} + c\right)^{2}} + 36 a^{5} b^{2} c + \frac{112 a^{3} b^{2} c^{6}}{\left(a^{2} + c\right)^{4}} - \frac{32 a^{3} b^{2} c^{4}}{\left(a^{2} + c\right)^{2}} - 88 a^{3} b^{2} c^{2} - \frac{4 a b^{2} c^{5}}{\left(a^{2} + c\right)^{2}} + 4 a b^{2} c^{3}}{a^{6} b^{3} + 33 a^{4} b^{3} c - 33 a^{2} b^{3} c^{2} - b^{3} c^{3}} \right)}}{\left(a^{2} + c\right)^{2}} + \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right) \log{\left(x + \frac{- 4 a^{11} c \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 12 a^{9} c^{2} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 10 a^{8} b c \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right) + 88 a^{7} c^{3} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 32 a^{6} b c^{2} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right) + 36 a^{5} b^{2} c + 152 a^{5} c^{4} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 36 a^{4} b c^{3} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right) - 88 a^{3} b^{2} c^{2} + 108 a^{3} c^{5} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 16 a^{2} b c^{4} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right) + 4 a b^{2} c^{3} + 28 a c^{6} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 2 b c^{5} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} - \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)}{a^{6} b^{3} + 33 a^{4} b^{3} c - 33 a^{2} b^{3} c^{2} - b^{3} c^{3}} \right)} + \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right) \log{\left(x + \frac{- 4 a^{11} c \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 12 a^{9} c^{2} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 10 a^{8} b c \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right) + 88 a^{7} c^{3} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 32 a^{6} b c^{2} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right) + 36 a^{5} b^{2} c + 152 a^{5} c^{4} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 36 a^{4} b c^{3} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right) - 88 a^{3} b^{2} c^{2} + 108 a^{3} c^{5} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 16 a^{2} b c^{4} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right) + 4 a b^{2} c^{3} + 28 a c^{6} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)^{2} + 2 b c^{5} \left(\frac{a b}{\left(a^{2} + c\right)^{2}} + \frac{b \sqrt{- c} \left(a^{2} - c\right)}{2 c \left(a^{4} + 2 a^{2} c + c^{2}\right)}\right)}{a^{6} b^{3} + 33 a^{4} b^{3} c - 33 a^{2} b^{3} c^{2} - b^{3} c^{3}} \right)} - \frac{1}{x \left(a^{2} + c\right)}"," ",0,"-2*a*b*log(x + (-16*a**13*b**2*c/(a**2 + c)**4 + 48*a**11*b**2*c**2/(a**2 + c)**4 + 352*a**9*b**2*c**3/(a**2 + c)**4 - 20*a**9*b**2*c/(a**2 + c)**2 + 608*a**7*b**2*c**4/(a**2 + c)**4 - 64*a**7*b**2*c**2/(a**2 + c)**2 + 432*a**5*b**2*c**5/(a**2 + c)**4 - 72*a**5*b**2*c**3/(a**2 + c)**2 + 36*a**5*b**2*c + 112*a**3*b**2*c**6/(a**2 + c)**4 - 32*a**3*b**2*c**4/(a**2 + c)**2 - 88*a**3*b**2*c**2 - 4*a*b**2*c**5/(a**2 + c)**2 + 4*a*b**2*c**3)/(a**6*b**3 + 33*a**4*b**3*c - 33*a**2*b**3*c**2 - b**3*c**3))/(a**2 + c)**2 + (a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))*log(x + (-4*a**11*c*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 12*a**9*c**2*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 10*a**8*b*c*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2))) + 88*a**7*c**3*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 32*a**6*b*c**2*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2))) + 36*a**5*b**2*c + 152*a**5*c**4*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 36*a**4*b*c**3*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2))) - 88*a**3*b**2*c**2 + 108*a**3*c**5*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 16*a**2*b*c**4*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2))) + 4*a*b**2*c**3 + 28*a*c**6*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 2*b*c**5*(a*b/(a**2 + c)**2 - b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2))))/(a**6*b**3 + 33*a**4*b**3*c - 33*a**2*b**3*c**2 - b**3*c**3)) + (a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))*log(x + (-4*a**11*c*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 12*a**9*c**2*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 10*a**8*b*c*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2))) + 88*a**7*c**3*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 32*a**6*b*c**2*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2))) + 36*a**5*b**2*c + 152*a**5*c**4*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 36*a**4*b*c**3*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2))) - 88*a**3*b**2*c**2 + 108*a**3*c**5*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 16*a**2*b*c**4*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2))) + 4*a*b**2*c**3 + 28*a*c**6*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2)))**2 + 2*b*c**5*(a*b/(a**2 + c)**2 + b*sqrt(-c)*(a**2 - c)/(2*c*(a**4 + 2*a**2*c + c**2))))/(a**6*b**3 + 33*a**4*b**3*c - 33*a**2*b**3*c**2 - b**3*c**3)) - 1/(x*(a**2 + c))","B",0
84,1,3284,0,38.257603," ","integrate(1/x**3/(c+(b*x+a)**2),x)","\frac{b^{2} \left(3 a^{2} - c\right) \log{\left(x + \frac{- \frac{4 a^{16} b^{4} c \left(3 a^{2} - c\right)^{2}}{\left(a^{2} + c\right)^{6}} + \frac{24 a^{14} b^{4} c^{2} \left(3 a^{2} - c\right)^{2}}{\left(a^{2} + c\right)^{6}} + \frac{216 a^{12} b^{4} c^{3} \left(3 a^{2} - c\right)^{2}}{\left(a^{2} + c\right)^{6}} - \frac{14 a^{12} b^{4} c \left(3 a^{2} - c\right)}{\left(a^{2} + c\right)^{3}} + \frac{568 a^{10} b^{4} c^{4} \left(3 a^{2} - c\right)^{2}}{\left(a^{2} + c\right)^{6}} - \frac{44 a^{10} b^{4} c^{2} \left(3 a^{2} - c\right)}{\left(a^{2} + c\right)^{3}} + \frac{720 a^{8} b^{4} c^{5} \left(3 a^{2} - c\right)^{2}}{\left(a^{2} + c\right)^{6}} - \frac{42 a^{8} b^{4} c^{3} \left(3 a^{2} - c\right)}{\left(a^{2} + c\right)^{3}} + 78 a^{8} b^{4} c + \frac{456 a^{6} b^{4} c^{6} \left(3 a^{2} - c\right)^{2}}{\left(a^{2} + c\right)^{6}} - \frac{8 a^{6} b^{4} c^{4} \left(3 a^{2} - c\right)}{\left(a^{2} + c\right)^{3}} - 464 a^{6} b^{4} c^{2} + \frac{104 a^{4} b^{4} c^{7} \left(3 a^{2} - c\right)^{2}}{\left(a^{2} + c\right)^{6}} - \frac{2 a^{4} b^{4} c^{5} \left(3 a^{2} - c\right)}{\left(a^{2} + c\right)^{3}} + 380 a^{4} b^{4} c^{3} - \frac{24 a^{2} b^{4} c^{8} \left(3 a^{2} - c\right)^{2}}{\left(a^{2} + c\right)^{6}} - \frac{12 a^{2} b^{4} c^{6} \left(3 a^{2} - c\right)}{\left(a^{2} + c\right)^{3}} - 96 a^{2} b^{4} c^{4} - \frac{12 b^{4} c^{9} \left(3 a^{2} - c\right)^{2}}{\left(a^{2} + c\right)^{6}} - \frac{6 b^{4} c^{7} \left(3 a^{2} - c\right)}{\left(a^{2} + c\right)^{3}} + 6 b^{4} c^{5}}{a^{9} b^{5} + 72 a^{7} b^{5} c - 270 a^{5} b^{5} c^{2} + 144 a^{3} b^{5} c^{3} - 27 a b^{5} c^{4}} \right)}}{\left(a^{2} + c\right)^{3}} + \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) \log{\left(x + \frac{- 4 a^{16} c \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} + 24 a^{14} c^{2} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} - 14 a^{12} b^{2} c \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) + 216 a^{12} c^{3} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} - 44 a^{10} b^{2} c^{2} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) + 568 a^{10} c^{4} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} + 78 a^{8} b^{4} c - 42 a^{8} b^{2} c^{3} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) + 720 a^{8} c^{5} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} - 464 a^{6} b^{4} c^{2} - 8 a^{6} b^{2} c^{4} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) + 456 a^{6} c^{6} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} + 380 a^{4} b^{4} c^{3} - 2 a^{4} b^{2} c^{5} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) + 104 a^{4} c^{7} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} - 96 a^{2} b^{4} c^{4} - 12 a^{2} b^{2} c^{6} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) - 24 a^{2} c^{8} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} + 6 b^{4} c^{5} - 6 b^{2} c^{7} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) - 12 c^{9} \left(- \frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2}}{a^{9} b^{5} + 72 a^{7} b^{5} c - 270 a^{5} b^{5} c^{2} + 144 a^{3} b^{5} c^{3} - 27 a b^{5} c^{4}} \right)} + \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) \log{\left(x + \frac{- 4 a^{16} c \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} + 24 a^{14} c^{2} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} - 14 a^{12} b^{2} c \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) + 216 a^{12} c^{3} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} - 44 a^{10} b^{2} c^{2} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) + 568 a^{10} c^{4} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} + 78 a^{8} b^{4} c - 42 a^{8} b^{2} c^{3} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) + 720 a^{8} c^{5} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} - 464 a^{6} b^{4} c^{2} - 8 a^{6} b^{2} c^{4} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) + 456 a^{6} c^{6} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} + 380 a^{4} b^{4} c^{3} - 2 a^{4} b^{2} c^{5} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) + 104 a^{4} c^{7} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} - 96 a^{2} b^{4} c^{4} - 12 a^{2} b^{2} c^{6} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) - 24 a^{2} c^{8} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2} + 6 b^{4} c^{5} - 6 b^{2} c^{7} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right) - 12 c^{9} \left(\frac{a b^{2} \sqrt{- c} \left(a^{2} - 3 c\right)}{2 c \left(a^{6} + 3 a^{4} c + 3 a^{2} c^{2} + c^{3}\right)} - \frac{b^{2} \left(3 a^{2} - c\right)}{2 \left(a^{2} + c\right)^{3}}\right)^{2}}{a^{9} b^{5} + 72 a^{7} b^{5} c - 270 a^{5} b^{5} c^{2} + 144 a^{3} b^{5} c^{3} - 27 a b^{5} c^{4}} \right)} + \frac{- a^{2} + 4 a b x - c}{x^{2} \left(2 a^{4} + 4 a^{2} c + 2 c^{2}\right)}"," ",0,"b**2*(3*a**2 - c)*log(x + (-4*a**16*b**4*c*(3*a**2 - c)**2/(a**2 + c)**6 + 24*a**14*b**4*c**2*(3*a**2 - c)**2/(a**2 + c)**6 + 216*a**12*b**4*c**3*(3*a**2 - c)**2/(a**2 + c)**6 - 14*a**12*b**4*c*(3*a**2 - c)/(a**2 + c)**3 + 568*a**10*b**4*c**4*(3*a**2 - c)**2/(a**2 + c)**6 - 44*a**10*b**4*c**2*(3*a**2 - c)/(a**2 + c)**3 + 720*a**8*b**4*c**5*(3*a**2 - c)**2/(a**2 + c)**6 - 42*a**8*b**4*c**3*(3*a**2 - c)/(a**2 + c)**3 + 78*a**8*b**4*c + 456*a**6*b**4*c**6*(3*a**2 - c)**2/(a**2 + c)**6 - 8*a**6*b**4*c**4*(3*a**2 - c)/(a**2 + c)**3 - 464*a**6*b**4*c**2 + 104*a**4*b**4*c**7*(3*a**2 - c)**2/(a**2 + c)**6 - 2*a**4*b**4*c**5*(3*a**2 - c)/(a**2 + c)**3 + 380*a**4*b**4*c**3 - 24*a**2*b**4*c**8*(3*a**2 - c)**2/(a**2 + c)**6 - 12*a**2*b**4*c**6*(3*a**2 - c)/(a**2 + c)**3 - 96*a**2*b**4*c**4 - 12*b**4*c**9*(3*a**2 - c)**2/(a**2 + c)**6 - 6*b**4*c**7*(3*a**2 - c)/(a**2 + c)**3 + 6*b**4*c**5)/(a**9*b**5 + 72*a**7*b**5*c - 270*a**5*b**5*c**2 + 144*a**3*b**5*c**3 - 27*a*b**5*c**4))/(a**2 + c)**3 + (-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))*log(x + (-4*a**16*c*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 + 24*a**14*c**2*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 - 14*a**12*b**2*c*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) + 216*a**12*c**3*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 - 44*a**10*b**2*c**2*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) + 568*a**10*c**4*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 + 78*a**8*b**4*c - 42*a**8*b**2*c**3*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) + 720*a**8*c**5*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 - 464*a**6*b**4*c**2 - 8*a**6*b**2*c**4*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) + 456*a**6*c**6*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 + 380*a**4*b**4*c**3 - 2*a**4*b**2*c**5*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) + 104*a**4*c**7*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 - 96*a**2*b**4*c**4 - 12*a**2*b**2*c**6*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) - 24*a**2*c**8*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 + 6*b**4*c**5 - 6*b**2*c**7*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) - 12*c**9*(-a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2)/(a**9*b**5 + 72*a**7*b**5*c - 270*a**5*b**5*c**2 + 144*a**3*b**5*c**3 - 27*a*b**5*c**4)) + (a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))*log(x + (-4*a**16*c*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 + 24*a**14*c**2*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 - 14*a**12*b**2*c*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) + 216*a**12*c**3*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 - 44*a**10*b**2*c**2*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) + 568*a**10*c**4*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 + 78*a**8*b**4*c - 42*a**8*b**2*c**3*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) + 720*a**8*c**5*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 - 464*a**6*b**4*c**2 - 8*a**6*b**2*c**4*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) + 456*a**6*c**6*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 + 380*a**4*b**4*c**3 - 2*a**4*b**2*c**5*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) + 104*a**4*c**7*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 - 96*a**2*b**4*c**4 - 12*a**2*b**2*c**6*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) - 24*a**2*c**8*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2 + 6*b**4*c**5 - 6*b**2*c**7*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3)) - 12*c**9*(a*b**2*sqrt(-c)*(a**2 - 3*c)/(2*c*(a**6 + 3*a**4*c + 3*a**2*c**2 + c**3)) - b**2*(3*a**2 - c)/(2*(a**2 + c)**3))**2)/(a**9*b**5 + 72*a**7*b**5*c - 270*a**5*b**5*c**2 + 144*a**3*b**5*c**3 - 27*a*b**5*c**4)) + (-a**2 + 4*a*b*x - c)/(x**2*(2*a**4 + 4*a**2*c + 2*c**2))","B",0
85,1,61,0,0.207433," ","integrate(1/(a+b*(d*x+c)**2),x)","\frac{- \frac{\sqrt{- \frac{1}{a b}} \log{\left(x + \frac{- a \sqrt{- \frac{1}{a b}} + c}{d} \right)}}{2} + \frac{\sqrt{- \frac{1}{a b}} \log{\left(x + \frac{a \sqrt{- \frac{1}{a b}} + c}{d} \right)}}{2}}{d}"," ",0,"(-sqrt(-1/(a*b))*log(x + (-a*sqrt(-1/(a*b)) + c)/d)/2 + sqrt(-1/(a*b))*log(x + (a*sqrt(-1/(a*b)) + c)/d)/2)/d","B",0
86,1,117,0,0.579656," ","integrate(1/(a+b*(d*x+c)**2)**2,x)","\frac{c + d x}{2 a^{2} d + 2 a b c^{2} d + 4 a b c d^{2} x + 2 a b d^{3} x^{2}} + \frac{- \frac{\sqrt{- \frac{1}{a^{3} b}} \log{\left(x + \frac{- a^{2} \sqrt{- \frac{1}{a^{3} b}} + c}{d} \right)}}{4} + \frac{\sqrt{- \frac{1}{a^{3} b}} \log{\left(x + \frac{a^{2} \sqrt{- \frac{1}{a^{3} b}} + c}{d} \right)}}{4}}{d}"," ",0,"(c + d*x)/(2*a**2*d + 2*a*b*c**2*d + 4*a*b*c*d**2*x + 2*a*b*d**3*x**2) + (-sqrt(-1/(a**3*b))*log(x + (-a**2*sqrt(-1/(a**3*b)) + c)/d)/4 + sqrt(-1/(a**3*b))*log(x + (a**2*sqrt(-1/(a**3*b)) + c)/d)/4)/d","B",0
87,1,257,0,1.247831," ","integrate(1/(a+b*(d*x+c)**2)**3,x)","\frac{5 a c + 3 b c^{3} + 9 b c d^{2} x^{2} + 3 b d^{3} x^{3} + x \left(5 a d + 9 b c^{2} d\right)}{8 a^{4} d + 16 a^{3} b c^{2} d + 8 a^{2} b^{2} c^{4} d + 32 a^{2} b^{2} c d^{4} x^{3} + 8 a^{2} b^{2} d^{5} x^{4} + x^{2} \left(16 a^{3} b d^{3} + 48 a^{2} b^{2} c^{2} d^{3}\right) + x \left(32 a^{3} b c d^{2} + 32 a^{2} b^{2} c^{3} d^{2}\right)} + \frac{- \frac{3 \sqrt{- \frac{1}{a^{5} b}} \log{\left(x + \frac{- 3 a^{3} \sqrt{- \frac{1}{a^{5} b}} + 3 c}{3 d} \right)}}{16} + \frac{3 \sqrt{- \frac{1}{a^{5} b}} \log{\left(x + \frac{3 a^{3} \sqrt{- \frac{1}{a^{5} b}} + 3 c}{3 d} \right)}}{16}}{d}"," ",0,"(5*a*c + 3*b*c**3 + 9*b*c*d**2*x**2 + 3*b*d**3*x**3 + x*(5*a*d + 9*b*c**2*d))/(8*a**4*d + 16*a**3*b*c**2*d + 8*a**2*b**2*c**4*d + 32*a**2*b**2*c*d**4*x**3 + 8*a**2*b**2*d**5*x**4 + x**2*(16*a**3*b*d**3 + 48*a**2*b**2*c**2*d**3) + x*(32*a**3*b*c*d**2 + 32*a**2*b**2*c**3*d**2)) + (-3*sqrt(-1/(a**5*b))*log(x + (-3*a**3*sqrt(-1/(a**5*b)) + 3*c)/(3*d))/16 + 3*sqrt(-1/(a**5*b))*log(x + (3*a**3*sqrt(-1/(a**5*b)) + 3*c)/(3*d))/16)/d","B",0
88,1,92,0,0.218291," ","integrate(1/(b*(d*x+c)**2+(-a)**(1/2)),x)","\frac{- \frac{\sqrt{- \frac{1}{b \sqrt{- a}}} \log{\left(x + \frac{c - \sqrt{- a} \sqrt{- \frac{1}{b \sqrt{- a}}}}{d} \right)}}{2} + \frac{\sqrt{- \frac{1}{b \sqrt{- a}}} \log{\left(x + \frac{c + \sqrt{- a} \sqrt{- \frac{1}{b \sqrt{- a}}}}{d} \right)}}{2}}{d}"," ",0,"(-sqrt(-1/(b*sqrt(-a)))*log(x + (c - sqrt(-a)*sqrt(-1/(b*sqrt(-a))))/d)/2 + sqrt(-1/(b*sqrt(-a)))*log(x + (c + sqrt(-a)*sqrt(-1/(b*sqrt(-a))))/d)/2)/d","B",0
89,1,24,0,0.168068," ","integrate(1/(1+(d*x+c)**2),x)","\frac{- \frac{i \log{\left(x + \frac{c - i}{d} \right)}}{2} + \frac{i \log{\left(x + \frac{c + i}{d} \right)}}{2}}{d}"," ",0,"(-I*log(x + (c - I)/d)/2 + I*log(x + (c + I)/d)/2)/d","C",0
90,1,56,0,0.436717," ","integrate(1/(1+(d*x+c)**2)**2,x)","\frac{c + d x}{2 c^{2} d + 4 c d^{2} x + 2 d^{3} x^{2} + 2 d} + \frac{- \frac{i \log{\left(x + \frac{c - i}{d} \right)}}{4} + \frac{i \log{\left(x + \frac{c + i}{d} \right)}}{4}}{d}"," ",0,"(c + d*x)/(2*c**2*d + 4*c*d**2*x + 2*d**3*x**2 + 2*d) + (-I*log(x + (c - I)/d)/4 + I*log(x + (c + I)/d)/4)/d","C",0
91,1,146,0,0.931203," ","integrate(1/(1+(d*x+c)**2)**3,x)","\frac{3 c^{3} + 9 c d^{2} x^{2} + 5 c + 3 d^{3} x^{3} + x \left(9 c^{2} d + 5 d\right)}{8 c^{4} d + 16 c^{2} d + 32 c d^{4} x^{3} + 8 d^{5} x^{4} + 8 d + x^{2} \left(48 c^{2} d^{3} + 16 d^{3}\right) + x \left(32 c^{3} d^{2} + 32 c d^{2}\right)} + \frac{- \frac{3 i \log{\left(x + \frac{3 c - 3 i}{3 d} \right)}}{16} + \frac{3 i \log{\left(x + \frac{3 c + 3 i}{3 d} \right)}}{16}}{d}"," ",0,"(3*c**3 + 9*c*d**2*x**2 + 5*c + 3*d**3*x**3 + x*(9*c**2*d + 5*d))/(8*c**4*d + 16*c**2*d + 32*c*d**4*x**3 + 8*d**5*x**4 + 8*d + x**2*(48*c**2*d**3 + 16*d**3) + x*(32*c**3*d**2 + 32*c*d**2)) + (-3*I*log(x + (3*c - 3*I)/(3*d))/16 + 3*I*log(x + (3*c + 3*I)/(3*d))/16)/d","C",0
92,1,22,0,0.177001," ","integrate(1/(1-(d*x+c)**2),x)","- \frac{\frac{\log{\left(x + \frac{c - 1}{d} \right)}}{2} - \frac{\log{\left(x + \frac{c + 1}{d} \right)}}{2}}{d}"," ",0,"-(log(x + (c - 1)/d)/2 - log(x + (c + 1)/d)/2)/d","B",0
93,1,54,0,0.469468," ","integrate(1/(1-(d*x+c)**2)**2,x)","\frac{- c - d x}{2 c^{2} d + 4 c d^{2} x + 2 d^{3} x^{2} - 2 d} + \frac{- \frac{\log{\left(x + \frac{c - 1}{d} \right)}}{4} + \frac{\log{\left(x + \frac{c + 1}{d} \right)}}{4}}{d}"," ",0,"(-c - d*x)/(2*c**2*d + 4*c*d**2*x + 2*d**3*x**2 - 2*d) + (-log(x + (c - 1)/d)/4 + log(x + (c + 1)/d)/4)/d","A",0
94,1,141,0,1.029629," ","integrate(1/(1-(d*x+c)**2)**3,x)","- \frac{3 c^{3} + 9 c d^{2} x^{2} - 5 c + 3 d^{3} x^{3} + x \left(9 c^{2} d - 5 d\right)}{8 c^{4} d - 16 c^{2} d + 32 c d^{4} x^{3} + 8 d^{5} x^{4} + 8 d + x^{2} \left(48 c^{2} d^{3} - 16 d^{3}\right) + x \left(32 c^{3} d^{2} - 32 c d^{2}\right)} - \frac{\frac{3 \log{\left(x + \frac{3 c - 3}{3 d} \right)}}{16} - \frac{3 \log{\left(x + \frac{3 c + 3}{3 d} \right)}}{16}}{d}"," ",0,"-(3*c**3 + 9*c*d**2*x**2 - 5*c + 3*d**3*x**3 + x*(9*c**2*d - 5*d))/(8*c**4*d - 16*c**2*d + 32*c*d**4*x**3 + 8*d**5*x**4 + 8*d + x**2*(48*c**2*d**3 - 16*d**3) + x*(32*c**3*d**2 - 32*c*d**2)) - (3*log(x + (3*c - 3)/(3*d))/16 - 3*log(x + (3*c + 3)/(3*d))/16)/d","B",0
95,1,10,0,0.099288," ","integrate(1/(1-(1+x)**2),x)","- \frac{\log{\left(x \right)}}{2} + \frac{\log{\left(x + 2 \right)}}{2}"," ",0,"-log(x)/2 + log(x + 2)/2","B",0
96,1,24,0,0.116626," ","integrate(1/(1-(1+x)**2)**2,x)","\frac{- x - 1}{2 x^{2} + 4 x} - \frac{\log{\left(x \right)}}{4} + \frac{\log{\left(x + 2 \right)}}{4}"," ",0,"(-x - 1)/(2*x**2 + 4*x) - log(x)/4 + log(x + 2)/4","A",0
97,1,44,0,0.143545," ","integrate(1/(1-(1+x)**2)**3,x)","- \frac{3 \log{\left(x \right)}}{16} + \frac{3 \log{\left(x + 2 \right)}}{16} - \frac{3 x^{3} + 9 x^{2} + 4 x - 2}{8 x^{4} + 32 x^{3} + 32 x^{2}}"," ",0,"-3*log(x)/16 + 3*log(x + 2)/16 - (3*x**3 + 9*x**2 + 4*x - 2)/(8*x**4 + 32*x**3 + 32*x**2)","A",0
98,1,58,0,0.170735," ","integrate((1+(b*x+a)**2)**2/x,x)","\frac{4 a b^{3} x^{3}}{3} + \frac{b^{4} x^{4}}{4} + x^{2} \left(3 a^{2} b^{2} + b^{2}\right) + x \left(4 a^{3} b + 4 a b\right) + \left(a^{2} + 1\right)^{2} \log{\left(x \right)}"," ",0,"4*a*b**3*x**3/3 + b**4*x**4/4 + x**2*(3*a**2*b**2 + b**2) + x*(4*a**3*b + 4*a*b) + (a**2 + 1)**2*log(x)","A",0
99,1,10,0,0.086260," ","integrate(x**2/(1+(-1+x)**2),x)","x + \log{\left(x^{2} - 2 x + 2 \right)}"," ",0,"x + log(x**2 - 2*x + 2)","A",0
100,0,0,0,0.000000," ","integrate(x**2/(1-(1+x)**2)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- x \left(x + 2\right)}}\, dx"," ",0,"Integral(x**2/sqrt(-x*(x + 2)), x)","F",0
101,0,0,0,0.000000," ","integrate(x**2/(1-(b*x+a)**2)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- \left(a + b x - 1\right) \left(a + b x + 1\right)}}\, dx"," ",0,"Integral(x**2/sqrt(-(a + b*x - 1)*(a + b*x + 1)), x)","F",0
102,0,0,0,0.000000," ","integrate(x**2/(1+(b*x+a)**2)**(1/2),x)","\int \frac{x^{2}}{\sqrt{a^{2} + 2 a b x + b^{2} x^{2} + 1}}\, dx"," ",0,"Integral(x**2/sqrt(a**2 + 2*a*b*x + b**2*x**2 + 1), x)","F",0
103,1,238,0,2.901147," ","integrate(x**3/(a+b*(d*x+c)**3),x)","\operatorname{RootSum} {\left(27 t^{3} a^{2} b^{4} d^{12} + 81 t^{2} a^{2} b^{3} c d^{8} + t \left(54 a^{2} b^{2} c^{2} d^{4} - 27 a b^{3} c^{5} d^{4}\right) + a^{3} + 3 a^{2} b c^{3} + 3 a b^{2} c^{6} + b^{3} c^{9}, \left( t \mapsto t \log{\left(x + \frac{- 27 t^{2} a^{2} b^{3} c^{2} d^{8} - 3 t a^{3} b d^{4} - 60 t a^{2} b^{2} c^{3} d^{4} - 3 t a b^{3} c^{6} d^{4} - 2 a^{3} c - 12 a^{2} b c^{4} - 9 a b^{2} c^{7} + b^{3} c^{10}}{a^{3} d + 3 a^{2} b c^{3} d - 24 a b^{2} c^{6} d + b^{3} c^{9} d} \right)} \right)\right)} + \frac{x}{b d^{3}}"," ",0,"RootSum(27*_t**3*a**2*b**4*d**12 + 81*_t**2*a**2*b**3*c*d**8 + _t*(54*a**2*b**2*c**2*d**4 - 27*a*b**3*c**5*d**4) + a**3 + 3*a**2*b*c**3 + 3*a*b**2*c**6 + b**3*c**9, Lambda(_t, _t*log(x + (-27*_t**2*a**2*b**3*c**2*d**8 - 3*_t*a**3*b*d**4 - 60*_t*a**2*b**2*c**3*d**4 - 3*_t*a*b**3*c**6*d**4 - 2*a**3*c - 12*a**2*b*c**4 - 9*a*b**2*c**7 + b**3*c**10)/(a**3*d + 3*a**2*b*c**3*d - 24*a*b**2*c**6*d + b**3*c**9*d)))) + x/(b*d**3)","A",0
104,1,158,0,0.991502," ","integrate(x**2/(a+b*(d*x+c)**3),x)","\operatorname{RootSum} {\left(27 t^{3} a^{2} b^{3} d^{9} - 27 t^{2} a^{2} b^{2} d^{6} + t \left(9 a^{2} b d^{3} - 18 a b^{2} c^{3} d^{3}\right) - a^{2} - 2 a b c^{3} - b^{2} c^{6}, \left( t \mapsto t \log{\left(x + \frac{18 t^{2} a^{2} b^{2} d^{6} - 12 t a^{2} b d^{3} - 3 t a b^{2} c^{3} d^{3} + 2 a^{2} + a b c^{3} - b^{2} c^{6}}{8 a b c^{2} d - b^{2} c^{5} d} \right)} \right)\right)}"," ",0,"RootSum(27*_t**3*a**2*b**3*d**9 - 27*_t**2*a**2*b**2*d**6 + _t*(9*a**2*b*d**3 - 18*a*b**2*c**3*d**3) - a**2 - 2*a*b*c**3 - b**2*c**6, Lambda(_t, _t*log(x + (18*_t**2*a**2*b**2*d**6 - 12*_t*a**2*b*d**3 - 3*_t*a*b**2*c**3*d**3 + 2*a**2 + a*b*c**3 - b**2*c**6)/(8*a*b*c**2*d - b**2*c**5*d))))","A",0
105,1,83,0,0.700379," ","integrate(x/(a+b*(d*x+c)**3),x)","\operatorname{RootSum} {\left(27 t^{3} a^{2} b^{2} d^{6} - 9 t a b c d^{2} + a + b c^{3}, \left( t \mapsto t \log{\left(x + \frac{9 t^{2} a^{2} b d^{4} + 3 t a b c^{2} d^{2} - a c - b c^{4}}{a d - b c^{3} d} \right)} \right)\right)}"," ",0,"RootSum(27*_t**3*a**2*b**2*d**6 - 9*_t*a*b*c*d**2 + a + b*c**3, Lambda(_t, _t*log(x + (9*_t**2*a**2*b*d**4 + 3*_t*a*b*c**2*d**2 - a*c - b*c**4)/(a*d - b*c**3*d))))","A",0
106,1,26,0,0.261355," ","integrate(1/(a+b*(d*x+c)**3),x)","\frac{\operatorname{RootSum} {\left(27 t^{3} a^{2} b - 1, \left( t \mapsto t \log{\left(x + \frac{3 t a + c}{d} \right)} \right)\right)}}{d}"," ",0,"RootSum(27*_t**3*a**2*b - 1, Lambda(_t, _t*log(x + (3*_t*a + c)/d)))/d","A",0
107,-1,0,0,0.000000," ","integrate(1/x/(a+b*(d*x+c)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,-1,0,0,0.000000," ","integrate(1/x**2/(a+b*(d*x+c)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,-1,0,0,0.000000," ","integrate(1/x**3/(a+b*(d*x+c)**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
110,1,374,0,3.735991," ","integrate(x**3/(a+b*(d*x+c)**4),x)","\operatorname{RootSum} {\left(256 t^{4} a^{3} b^{4} d^{16} - 256 t^{3} a^{3} b^{3} d^{12} + t^{2} \left(96 a^{3} b^{2} d^{8} + 480 a^{2} b^{3} c^{4} d^{8}\right) + t \left(- 16 a^{3} b d^{4} + 192 a^{2} b^{2} c^{4} d^{4} - 48 a b^{3} c^{8} d^{4}\right) + a^{3} + 3 a^{2} b c^{4} + 3 a b^{2} c^{8} + b^{3} c^{12}, \left( t \mapsto t \log{\left(x + \frac{- 1728 t^{3} a^{4} b^{3} d^{12} - 960 t^{3} a^{3} b^{4} c^{4} d^{12} + 1296 t^{2} a^{4} b^{2} d^{8} + 2016 t^{2} a^{3} b^{3} c^{4} d^{8} - 48 t^{2} a^{2} b^{4} c^{8} d^{8} - 324 t a^{4} b d^{4} - 4716 t a^{3} b^{2} c^{4} d^{4} - 1452 t a^{2} b^{3} c^{8} d^{4} - 4 t a b^{4} c^{12} d^{4} + 27 a^{4} - 390 a^{3} b c^{4} - 444 a^{2} b^{2} c^{8} - 26 a b^{3} c^{12} + b^{4} c^{16}}{729 a^{3} b c^{3} d - 1053 a^{2} b^{2} c^{7} d - 117 a b^{3} c^{11} d + b^{4} c^{15} d} \right)} \right)\right)}"," ",0,"RootSum(256*_t**4*a**3*b**4*d**16 - 256*_t**3*a**3*b**3*d**12 + _t**2*(96*a**3*b**2*d**8 + 480*a**2*b**3*c**4*d**8) + _t*(-16*a**3*b*d**4 + 192*a**2*b**2*c**4*d**4 - 48*a*b**3*c**8*d**4) + a**3 + 3*a**2*b*c**4 + 3*a*b**2*c**8 + b**3*c**12, Lambda(_t, _t*log(x + (-1728*_t**3*a**4*b**3*d**12 - 960*_t**3*a**3*b**4*c**4*d**12 + 1296*_t**2*a**4*b**2*d**8 + 2016*_t**2*a**3*b**3*c**4*d**8 - 48*_t**2*a**2*b**4*c**8*d**8 - 324*_t*a**4*b*d**4 - 4716*_t*a**3*b**2*c**4*d**4 - 1452*_t*a**2*b**3*c**8*d**4 - 4*_t*a*b**4*c**12*d**4 + 27*a**4 - 390*a**3*b*c**4 - 444*a**2*b**2*c**8 - 26*a*b**3*c**12 + b**4*c**16)/(729*a**3*b*c**3*d - 1053*a**2*b**2*c**7*d - 117*a*b**3*c**11*d + b**4*c**15*d))))","A",0
111,1,274,0,2.671101," ","integrate(x**2/(a+b*(d*x+c)**4),x)","\operatorname{RootSum} {\left(256 t^{4} a^{3} b^{3} d^{12} + 192 t^{2} a^{2} b^{2} c^{2} d^{6} + t \left(- 32 a^{2} b c d^{3} + 32 a b^{2} c^{5} d^{3}\right) + a^{2} + 2 a b c^{4} + b^{2} c^{8}, \left( t \mapsto t \log{\left(x + \frac{64 t^{3} a^{4} b^{2} d^{9} + 448 t^{3} a^{3} b^{3} c^{4} d^{9} + 160 t^{2} a^{3} b^{2} c^{3} d^{6} - 32 t^{2} a^{2} b^{3} c^{7} d^{6} + 60 t a^{3} b c^{2} d^{3} + 256 t a^{2} b^{2} c^{6} d^{3} + 4 t a b^{3} c^{10} d^{3} - 5 a^{3} c - 9 a^{2} b c^{5} - 3 a b^{2} c^{9} + b^{3} c^{13}}{a^{3} d - 33 a^{2} b c^{4} d - 33 a b^{2} c^{8} d + b^{3} c^{12} d} \right)} \right)\right)}"," ",0,"RootSum(256*_t**4*a**3*b**3*d**12 + 192*_t**2*a**2*b**2*c**2*d**6 + _t*(-32*a**2*b*c*d**3 + 32*a*b**2*c**5*d**3) + a**2 + 2*a*b*c**4 + b**2*c**8, Lambda(_t, _t*log(x + (64*_t**3*a**4*b**2*d**9 + 448*_t**3*a**3*b**3*c**4*d**9 + 160*_t**2*a**3*b**2*c**3*d**6 - 32*_t**2*a**2*b**3*c**7*d**6 + 60*_t*a**3*b*c**2*d**3 + 256*_t*a**2*b**2*c**6*d**3 + 4*_t*a*b**3*c**10*d**3 - 5*a**3*c - 9*a**2*b*c**5 - 3*a*b**2*c**9 + b**3*c**13)/(a**3*d - 33*a**2*b*c**4*d - 33*a*b**2*c**8*d + b**3*c**12*d))))","A",0
112,1,131,0,0.878561," ","integrate(x/(a+b*(d*x+c)**4),x)","\operatorname{RootSum} {\left(256 t^{4} a^{3} b^{2} d^{8} + 32 t^{2} a^{2} b d^{4} - 16 t a b c^{2} d^{2} + a + b c^{4}, \left( t \mapsto t \log{\left(x + \frac{128 t^{3} a^{3} b d^{6} + 16 t^{2} a^{2} b c^{2} d^{4} + 8 t a^{2} d^{2} + 4 t a b c^{4} d^{2} - a c^{2} - b c^{6}}{4 a c d - b c^{5} d} \right)} \right)\right)}"," ",0,"RootSum(256*_t**4*a**3*b**2*d**8 + 32*_t**2*a**2*b*d**4 - 16*_t*a*b*c**2*d**2 + a + b*c**4, Lambda(_t, _t*log(x + (128*_t**3*a**3*b*d**6 + 16*_t**2*a**2*b*c**2*d**4 + 8*_t*a**2*d**2 + 4*_t*a*b*c**4*d**2 - a*c**2 - b*c**6)/(4*a*c*d - b*c**5*d))))","A",0
113,1,26,0,0.301488," ","integrate(1/(a+b*(d*x+c)**4),x)","\frac{\operatorname{RootSum} {\left(256 t^{4} a^{3} b + 1, \left( t \mapsto t \log{\left(x + \frac{4 t a + c}{d} \right)} \right)\right)}}{d}"," ",0,"RootSum(256*_t**4*a**3*b + 1, Lambda(_t, _t*log(x + (4*_t*a + c)/d)))/d","A",0
114,-1,0,0,0.000000," ","integrate(1/x/(a+b*(d*x+c)**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
115,-1,0,0,0.000000," ","integrate(1/x**2/(a+b*(d*x+c)**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
116,1,199,0,0.118476," ","integrate((-x**4+4*x**3-8*x**2+a+8*x)**4,x)","a^{4} x + 16 a^{3} x^{2} + \frac{x^{17}}{17} - x^{16} + \frac{128 x^{15}}{15} - 48 x^{14} + x^{13} \left(\frac{2560}{13} - \frac{4 a}{13}\right) + x^{12} \left(4 a - \frac{1856}{3}\right) + x^{11} \left(\frac{16768}{11} - \frac{288 a}{11}\right) + x^{10} \left(112 a - \frac{14848}{5}\right) + x^{9} \left(\frac{2 a^{2}}{3} - \frac{1024 a}{3} + \frac{40960}{9}\right) + x^{8} \left(- 6 a^{2} + 768 a - 5376\right) + x^{7} \left(\frac{192 a^{2}}{7} - 1280 a + \frac{32768}{7}\right) + x^{6} \left(- 80 a^{2} + 1536 a - \frac{8192}{3}\right) + x^{5} \left(- \frac{4 a^{3}}{5} + \frac{768 a^{2}}{5} - \frac{6144 a}{5} + \frac{4096}{5}\right) + x^{4} \left(4 a^{3} - 192 a^{2} + 512 a\right) + x^{3} \left(- \frac{32 a^{3}}{3} + 128 a^{2}\right)"," ",0,"a**4*x + 16*a**3*x**2 + x**17/17 - x**16 + 128*x**15/15 - 48*x**14 + x**13*(2560/13 - 4*a/13) + x**12*(4*a - 1856/3) + x**11*(16768/11 - 288*a/11) + x**10*(112*a - 14848/5) + x**9*(2*a**2/3 - 1024*a/3 + 40960/9) + x**8*(-6*a**2 + 768*a - 5376) + x**7*(192*a**2/7 - 1280*a + 32768/7) + x**6*(-80*a**2 + 1536*a - 8192/3) + x**5*(-4*a**3/5 + 768*a**2/5 - 6144*a/5 + 4096/5) + x**4*(4*a**3 - 192*a**2 + 512*a) + x**3*(-32*a**3/3 + 128*a**2)","A",0
117,1,114,0,0.090195," ","integrate((-x**4+4*x**3-8*x**2+a+8*x)**3,x)","a^{3} x + 12 a^{2} x^{2} - \frac{x^{13}}{13} + x^{12} - \frac{72 x^{11}}{11} + 28 x^{10} + x^{9} \left(\frac{a}{3} - \frac{256}{3}\right) + x^{8} \left(192 - 3 a\right) + x^{7} \left(\frac{96 a}{7} - 320\right) + x^{6} \left(384 - 40 a\right) + x^{5} \left(- \frac{3 a^{2}}{5} + \frac{384 a}{5} - \frac{1536}{5}\right) + x^{4} \left(3 a^{2} - 96 a + 128\right) + x^{3} \left(- 8 a^{2} + 64 a\right)"," ",0,"a**3*x + 12*a**2*x**2 - x**13/13 + x**12 - 72*x**11/11 + 28*x**10 + x**9*(a/3 - 256/3) + x**8*(192 - 3*a) + x**7*(96*a/7 - 320) + x**6*(384 - 40*a) + x**5*(-3*a**2/5 + 384*a/5 - 1536/5) + x**4*(3*a**2 - 96*a + 128) + x**3*(-8*a**2 + 64*a)","A",0
118,1,65,0,0.076289," ","integrate((-x**4+4*x**3-8*x**2+a+8*x)**2,x)","a^{2} x + 8 a x^{2} + \frac{x^{9}}{9} - x^{8} + \frac{32 x^{7}}{7} - \frac{40 x^{6}}{3} + x^{5} \left(\frac{128}{5} - \frac{2 a}{5}\right) + x^{4} \left(2 a - 32\right) + x^{3} \left(\frac{64}{3} - \frac{16 a}{3}\right)"," ",0,"a**2*x + 8*a*x**2 + x**9/9 - x**8 + 32*x**7/7 - 40*x**6/3 + x**5*(128/5 - 2*a/5) + x**4*(2*a - 32) + x**3*(64/3 - 16*a/3)","A",0
119,1,22,0,0.060780," ","integrate(-x**4+4*x**3-8*x**2+a+8*x,x)","a x - \frac{x^{5}}{5} + x^{4} - \frac{8 x^{3}}{3} + 4 x^{2}"," ",0,"a*x - x**5/5 + x**4 - 8*x**3/3 + 4*x**2","A",0
120,1,66,0,0.933141," ","integrate(1/(-x**4+4*x**3-8*x**2+a+8*x),x)","- \operatorname{RootSum} {\left(t^{4} \left(256 a^{3} + 2816 a^{2} + 10240 a + 12288\right) + t^{2} \left(- 32 a - 128\right) - 1, \left( t \mapsto t \log{\left(64 t^{3} a^{2} + 448 t^{3} a + 768 t^{3} - 4 t a - 20 t + x - 1 \right)} \right)\right)}"," ",0,"-RootSum(_t**4*(256*a**3 + 2816*a**2 + 10240*a + 12288) + _t**2*(-32*a - 128) - 1, Lambda(_t, _t*log(64*_t**3*a**2 + 448*_t**3*a + 768*_t**3 - 4*_t*a - 20*_t + x - 1)))","A",0
121,1,294,0,6.316553," ","integrate(1/(-x**4+4*x**3-8*x**2+a+8*x)**2,x)","\frac{a - x^{3} + 3 x^{2} + x \left(- a - 8\right) + 6}{- 4 a^{3} - 28 a^{2} - 48 a + x^{4} \left(4 a^{2} + 28 a + 48\right) + x^{3} \left(- 16 a^{2} - 112 a - 192\right) + x^{2} \left(32 a^{2} + 224 a + 384\right) + x \left(- 32 a^{2} - 224 a - 384\right)} + \operatorname{RootSum} {\left(t^{4} \left(65536 a^{9} + 2162688 a^{8} + 31653888 a^{7} + 269680640 a^{6} + 1473773568 a^{5} + 5357174784 a^{4} + 12952010752 a^{3} + 20082327552 a^{2} + 18119393280 a + 7247757312\right) + t^{2} \left(- 7680 a^{5} - 145920 a^{4} - 1107968 a^{3} - 4202496 a^{2} - 7962624 a - 6029312\right) - 81 a^{2} - 576 a - 1024, \left( t \mapsto t \log{\left(x + \frac{- 16384 t^{3} a^{7} - 401408 t^{3} a^{6} - 4202496 t^{3} a^{5} - 24371200 t^{3} a^{4} - 84549632 t^{3} a^{3} - 175472640 t^{3} a^{2} - 201719808 t^{3} a - 99090432 t^{3} + 432 t a^{4} + 7488 t a^{3} + 47024 t a^{2} + 128096 t a + 128512 t - 81 a^{2} - 567 a - 992}{81 a^{2} + 567 a + 992} \right)} \right)\right)}"," ",0,"(a - x**3 + 3*x**2 + x*(-a - 8) + 6)/(-4*a**3 - 28*a**2 - 48*a + x**4*(4*a**2 + 28*a + 48) + x**3*(-16*a**2 - 112*a - 192) + x**2*(32*a**2 + 224*a + 384) + x*(-32*a**2 - 224*a - 384)) + RootSum(_t**4*(65536*a**9 + 2162688*a**8 + 31653888*a**7 + 269680640*a**6 + 1473773568*a**5 + 5357174784*a**4 + 12952010752*a**3 + 20082327552*a**2 + 18119393280*a + 7247757312) + _t**2*(-7680*a**5 - 145920*a**4 - 1107968*a**3 - 4202496*a**2 - 7962624*a - 6029312) - 81*a**2 - 576*a - 1024, Lambda(_t, _t*log(x + (-16384*_t**3*a**7 - 401408*_t**3*a**6 - 4202496*_t**3*a**5 - 24371200*_t**3*a**4 - 84549632*_t**3*a**3 - 175472640*_t**3*a**2 - 201719808*_t**3*a - 99090432*_t**3 + 432*_t*a**4 + 7488*_t*a**3 + 47024*_t*a**2 + 128096*_t*a + 128512*_t - 81*a**2 - 567*a - 992)/(81*a**2 + 567*a + 992))))","B",0
122,1,697,0,15.616112," ","integrate(1/(-x**4+4*x**3-8*x**2+a+8*x)**3,x)","- \frac{11 a^{3} + 131 a^{2} + 408 a + x^{7} \left(12 a + 42\right) + x^{6} \left(- 84 a - 294\right) + x^{5} \left(7 a^{2} + 343 a + 1116\right) + x^{4} \left(- 35 a^{2} - 875 a - 2640\right) + x^{3} \left(68 a^{2} + 1358 a + 3936\right) + x^{2} \left(- 64 a^{2} - 1246 a - 3600\right) + x \left(- 11 a^{3} - 107 a^{2} + 84 a + 1152\right) + 288}{32 a^{6} + 448 a^{5} + 2336 a^{4} + 5376 a^{3} + 4608 a^{2} + x^{8} \left(32 a^{4} + 448 a^{3} + 2336 a^{2} + 5376 a + 4608\right) + x^{7} \left(- 256 a^{4} - 3584 a^{3} - 18688 a^{2} - 43008 a - 36864\right) + x^{6} \left(1024 a^{4} + 14336 a^{3} + 74752 a^{2} + 172032 a + 147456\right) + x^{5} \left(- 2560 a^{4} - 35840 a^{3} - 186880 a^{2} - 430080 a - 368640\right) + x^{4} \left(- 64 a^{5} + 3200 a^{4} + 52672 a^{3} + 288256 a^{2} + 678912 a + 589824\right) + x^{3} \left(256 a^{5} - 512 a^{4} - 38656 a^{3} - 256000 a^{2} - 651264 a - 589824\right) + x^{2} \left(- 512 a^{5} - 5120 a^{4} - 8704 a^{3} + 63488 a^{2} + 270336 a + 294912\right) + x \left(512 a^{5} + 7168 a^{4} + 37376 a^{3} + 86016 a^{2} + 73728 a\right)} - \operatorname{RootSum} {\left(t^{4} \left(268435456 a^{15} + 14763950080 a^{14} + 378493992960 a^{13} + 5999532441600 a^{12} + 65757291479040 a^{11} + 527875908304896 a^{10} + 3206246773555200 a^{9} + 15003759578972160 a^{8} + 54537151127224320 a^{7} + 153980418717122560 a^{6} + 334927734494986240 a^{5} + 551152193655275520 a^{4} + 664192984106926080 a^{3} + 553362212027105280 a^{2} + 284993413919539200 a + 68398419340689408\right) + t^{2} \left(- 30965760 a^{9} - 1052835840 a^{8} - 15910207488 a^{7} - 140262506496 a^{6} - 795007254528 a^{5} - 3004516270080 a^{4} - 7571263979520 a^{3} - 12268037210112 a^{2} - 11598827618304 a - 4875324751872\right) - 194481 a^{4} - 2762424 a^{3} - 14762736 a^{2} - 35178624 a - 31539456, \left( t \mapsto t \log{\left(x + \frac{23068672 t^{3} a^{12} + 968884224 t^{3} a^{11} + 18624806912 t^{3} a^{10} + 216677744640 t^{3} a^{9} + 1699123036160 t^{3} a^{8} + 9461389328384 t^{3} a^{7} + 38361186172928 t^{3} a^{6} + 114107491549184 t^{3} a^{5} + 247138458009600 t^{3} a^{4} + 380084473036800 t^{3} a^{3} + 394002582994944 t^{3} a^{2} + 247177515368448 t^{3} a + 70970039599104 t^{3} - 395136 t a^{7} - 11676672 t a^{6} - 144076032 t a^{5} - 969518592 t a^{4} - 3861475200 t a^{3} - 9133300224 t a^{2} - 11906574336 t a - 6611337216 t - 64827 a^{4} - 907578 a^{3} - 4780647 a^{2} - 11228868 a - 9923472}{64827 a^{4} + 907578 a^{3} + 4780647 a^{2} + 11228868 a + 9923472} \right)} \right)\right)}"," ",0,"-(11*a**3 + 131*a**2 + 408*a + x**7*(12*a + 42) + x**6*(-84*a - 294) + x**5*(7*a**2 + 343*a + 1116) + x**4*(-35*a**2 - 875*a - 2640) + x**3*(68*a**2 + 1358*a + 3936) + x**2*(-64*a**2 - 1246*a - 3600) + x*(-11*a**3 - 107*a**2 + 84*a + 1152) + 288)/(32*a**6 + 448*a**5 + 2336*a**4 + 5376*a**3 + 4608*a**2 + x**8*(32*a**4 + 448*a**3 + 2336*a**2 + 5376*a + 4608) + x**7*(-256*a**4 - 3584*a**3 - 18688*a**2 - 43008*a - 36864) + x**6*(1024*a**4 + 14336*a**3 + 74752*a**2 + 172032*a + 147456) + x**5*(-2560*a**4 - 35840*a**3 - 186880*a**2 - 430080*a - 368640) + x**4*(-64*a**5 + 3200*a**4 + 52672*a**3 + 288256*a**2 + 678912*a + 589824) + x**3*(256*a**5 - 512*a**4 - 38656*a**3 - 256000*a**2 - 651264*a - 589824) + x**2*(-512*a**5 - 5120*a**4 - 8704*a**3 + 63488*a**2 + 270336*a + 294912) + x*(512*a**5 + 7168*a**4 + 37376*a**3 + 86016*a**2 + 73728*a)) - RootSum(_t**4*(268435456*a**15 + 14763950080*a**14 + 378493992960*a**13 + 5999532441600*a**12 + 65757291479040*a**11 + 527875908304896*a**10 + 3206246773555200*a**9 + 15003759578972160*a**8 + 54537151127224320*a**7 + 153980418717122560*a**6 + 334927734494986240*a**5 + 551152193655275520*a**4 + 664192984106926080*a**3 + 553362212027105280*a**2 + 284993413919539200*a + 68398419340689408) + _t**2*(-30965760*a**9 - 1052835840*a**8 - 15910207488*a**7 - 140262506496*a**6 - 795007254528*a**5 - 3004516270080*a**4 - 7571263979520*a**3 - 12268037210112*a**2 - 11598827618304*a - 4875324751872) - 194481*a**4 - 2762424*a**3 - 14762736*a**2 - 35178624*a - 31539456, Lambda(_t, _t*log(x + (23068672*_t**3*a**12 + 968884224*_t**3*a**11 + 18624806912*_t**3*a**10 + 216677744640*_t**3*a**9 + 1699123036160*_t**3*a**8 + 9461389328384*_t**3*a**7 + 38361186172928*_t**3*a**6 + 114107491549184*_t**3*a**5 + 247138458009600*_t**3*a**4 + 380084473036800*_t**3*a**3 + 394002582994944*_t**3*a**2 + 247177515368448*_t**3*a + 70970039599104*_t**3 - 395136*_t*a**7 - 11676672*_t*a**6 - 144076032*_t*a**5 - 969518592*_t*a**4 - 3861475200*_t*a**3 - 9133300224*_t*a**2 - 11906574336*_t*a - 6611337216*_t - 64827*a**4 - 907578*a**3 - 4780647*a**2 - 11228868*a - 9923472)/(64827*a**4 + 907578*a**3 + 4780647*a**2 + 11228868*a + 9923472))))","B",0
123,1,212,0,0.122784," ","integrate(x*(-x**4+4*x**3-8*x**2+a+8*x)**4,x)","\frac{a^{4} x^{2}}{2} + \frac{32 a^{3} x^{3}}{3} + \frac{x^{18}}{18} - \frac{16 x^{17}}{17} + 8 x^{16} - \frac{224 x^{15}}{5} + x^{14} \left(\frac{1280}{7} - \frac{2 a}{7}\right) + x^{13} \left(\frac{48 a}{13} - \frac{7424}{13}\right) + x^{12} \left(\frac{4192}{3} - 24 a\right) + x^{11} \left(\frac{1120 a}{11} - \frac{29696}{11}\right) + x^{10} \left(\frac{3 a^{2}}{5} - \frac{1536 a}{5} + 4096\right) + x^{9} \left(- \frac{16 a^{2}}{3} + \frac{2048 a}{3} - \frac{14336}{3}\right) + x^{8} \left(24 a^{2} - 1120 a + 4096\right) + x^{7} \left(- \frac{480 a^{2}}{7} + \frac{9216 a}{7} - \frac{16384}{7}\right) + x^{6} \left(- \frac{2 a^{3}}{3} + 128 a^{2} - 1024 a + \frac{2048}{3}\right) + x^{5} \left(\frac{16 a^{3}}{5} - \frac{768 a^{2}}{5} + \frac{2048 a}{5}\right) + x^{4} \left(- 8 a^{3} + 96 a^{2}\right)"," ",0,"a**4*x**2/2 + 32*a**3*x**3/3 + x**18/18 - 16*x**17/17 + 8*x**16 - 224*x**15/5 + x**14*(1280/7 - 2*a/7) + x**13*(48*a/13 - 7424/13) + x**12*(4192/3 - 24*a) + x**11*(1120*a/11 - 29696/11) + x**10*(3*a**2/5 - 1536*a/5 + 4096) + x**9*(-16*a**2/3 + 2048*a/3 - 14336/3) + x**8*(24*a**2 - 1120*a + 4096) + x**7*(-480*a**2/7 + 9216*a/7 - 16384/7) + x**6*(-2*a**3/3 + 128*a**2 - 1024*a + 2048/3) + x**5*(16*a**3/5 - 768*a**2/5 + 2048*a/5) + x**4*(-8*a**3 + 96*a**2)","A",0
124,1,128,0,0.098354," ","integrate(x*(-x**4+4*x**3-8*x**2+a+8*x)**3,x)","\frac{a^{3} x^{2}}{2} + 8 a^{2} x^{3} - \frac{x^{14}}{14} + \frac{12 x^{13}}{13} - 6 x^{12} + \frac{280 x^{11}}{11} + x^{10} \left(\frac{3 a}{10} - \frac{384}{5}\right) + x^{9} \left(\frac{512}{3} - \frac{8 a}{3}\right) + x^{8} \left(12 a - 280\right) + x^{7} \left(\frac{2304}{7} - \frac{240 a}{7}\right) + x^{6} \left(- \frac{a^{2}}{2} + 64 a - 256\right) + x^{5} \left(\frac{12 a^{2}}{5} - \frac{384 a}{5} + \frac{512}{5}\right) + x^{4} \left(- 6 a^{2} + 48 a\right)"," ",0,"a**3*x**2/2 + 8*a**2*x**3 - x**14/14 + 12*x**13/13 - 6*x**12 + 280*x**11/11 + x**10*(3*a/10 - 384/5) + x**9*(512/3 - 8*a/3) + x**8*(12*a - 280) + x**7*(2304/7 - 240*a/7) + x**6*(-a**2/2 + 64*a - 256) + x**5*(12*a**2/5 - 384*a/5 + 512/5) + x**4*(-6*a**2 + 48*a)","A",0
125,1,70,0,0.077024," ","integrate(x*(-x**4+4*x**3-8*x**2+a+8*x)**2,x)","\frac{a^{2} x^{2}}{2} + \frac{16 a x^{3}}{3} + \frac{x^{10}}{10} - \frac{8 x^{9}}{9} + 4 x^{8} - \frac{80 x^{7}}{7} + x^{6} \left(\frac{64}{3} - \frac{a}{3}\right) + x^{5} \left(\frac{8 a}{5} - \frac{128}{5}\right) + x^{4} \left(16 - 4 a\right)"," ",0,"a**2*x**2/2 + 16*a*x**3/3 + x**10/10 - 8*x**9/9 + 4*x**8 - 80*x**7/7 + x**6*(64/3 - a/3) + x**5*(8*a/5 - 128/5) + x**4*(16 - 4*a)","A",0
126,1,29,0,0.061016," ","integrate(x*(-x**4+4*x**3-8*x**2+a+8*x),x)","\frac{a x^{2}}{2} - \frac{x^{6}}{6} + \frac{4 x^{5}}{5} - 2 x^{4} + \frac{8 x^{3}}{3}"," ",0,"a*x**2/2 - x**6/6 + 4*x**5/5 - 2*x**4 + 8*x**3/3","A",0
127,1,155,0,4.429622," ","integrate(x/(-x**4+4*x**3-8*x**2+a+8*x),x)","- \operatorname{RootSum} {\left(t^{4} \left(256 a^{3} + 2816 a^{2} + 10240 a + 12288\right) + t^{2} \left(- 32 a^{2} - 256 a - 512\right) + t \left(- 16 a - 64\right) + a, \left( t \mapsto t \log{\left(x + \frac{- 128 t^{3} a^{4} - 1728 t^{3} a^{3} - 8640 t^{3} a^{2} - 18944 t^{3} a - 15360 t^{3} + 48 t^{2} a^{3} + 464 t^{2} a^{2} + 1472 t^{2} a + 1536 t^{2} + 8 t a^{3} + 88 t a^{2} + 312 t a + 352 t - a^{2} - 2 a}{4 a^{2} + 21 a + 28} \right)} \right)\right)}"," ",0,"-RootSum(_t**4*(256*a**3 + 2816*a**2 + 10240*a + 12288) + _t**2*(-32*a**2 - 256*a - 512) + _t*(-16*a - 64) + a, Lambda(_t, _t*log(x + (-128*_t**3*a**4 - 1728*_t**3*a**3 - 8640*_t**3*a**2 - 18944*_t**3*a - 15360*_t**3 + 48*_t**2*a**3 + 464*_t**2*a**2 + 1472*_t**2*a + 1536*_t**2 + 8*_t*a**3 + 88*_t*a**2 + 312*_t*a + 352*_t - a**2 - 2*a)/(4*a**2 + 21*a + 28))))","A",0
128,1,539,0,31.420141," ","integrate(x/(-x**4+4*x**3-8*x**2+a+8*x)**2,x)","\frac{- a x^{2} - a - x^{3} + x \left(a - 2\right)}{- 4 a^{3} - 28 a^{2} - 48 a + x^{4} \left(4 a^{2} + 28 a + 48\right) + x^{3} \left(- 16 a^{2} - 112 a - 192\right) + x^{2} \left(32 a^{2} + 224 a + 384\right) + x \left(- 32 a^{2} - 224 a - 384\right)} + \operatorname{RootSum} {\left(t^{4} \left(65536 a^{9} + 2162688 a^{8} + 31653888 a^{7} + 269680640 a^{6} + 1473773568 a^{5} + 5357174784 a^{4} + 12952010752 a^{3} + 20082327552 a^{2} + 18119393280 a + 7247757312\right) + t^{2} \left(- 2048 a^{6} - 50688 a^{5} - 520704 a^{4} - 2842624 a^{3} - 8699904 a^{2} - 14155776 a - 9568256\right) + t \left(1152 a^{4} + 17792 a^{3} + 102912 a^{2} + 264192 a + 253952\right) + 16 a^{3} - 57 a^{2} - 984 a - 2064, \left( t \mapsto t \log{\left(x + \frac{98304 t^{3} a^{12} + 3948544 t^{3} a^{11} + 72196096 t^{3} a^{10} + 793837568 t^{3} a^{9} + 5839372288 t^{3} a^{8} + 30226464768 t^{3} a^{7} + 112668450816 t^{3} a^{6} + 303864643584 t^{3} a^{5} + 586157391872 t^{3} a^{4} + 784017129472 t^{3} a^{3} + 683648483328 t^{3} a^{2} + 343136010240 t^{3} a + 72477573120 t^{3} + 30208 t^{2} a^{10} + 986624 t^{2} a^{9} + 14420992 t^{2} a^{8} + 124156928 t^{2} a^{7} + 696815104 t^{2} a^{6} + 2661758464 t^{2} a^{5} + 7001485312 t^{2} a^{4} + 12506562560 t^{2} a^{3} + 14494924800 t^{2} a^{2} + 9820569600 t^{2} a + 2944401408 t^{2} - 1536 t a^{9} - 52048 t a^{8} - 757040 t a^{7} - 6200656 t a^{6} - 31380496 t a^{5} - 100736416 t a^{4} - 200813696 t a^{3} - 228144640 t a^{2} - 114632704 t a - 2490368 t + 248 a^{7} + 6797 a^{6} + 71132 a^{5} + 369745 a^{4} + 987758 a^{3} + 1128896 a^{2} - 129568 a - 956416}{576 a^{7} + 10985 a^{6} + 88746 a^{5} + 396609 a^{4} + 1076268 a^{3} + 1826304 a^{2} + 1867776 a + 917504} \right)} \right)\right)}"," ",0,"(-a*x**2 - a - x**3 + x*(a - 2))/(-4*a**3 - 28*a**2 - 48*a + x**4*(4*a**2 + 28*a + 48) + x**3*(-16*a**2 - 112*a - 192) + x**2*(32*a**2 + 224*a + 384) + x*(-32*a**2 - 224*a - 384)) + RootSum(_t**4*(65536*a**9 + 2162688*a**8 + 31653888*a**7 + 269680640*a**6 + 1473773568*a**5 + 5357174784*a**4 + 12952010752*a**3 + 20082327552*a**2 + 18119393280*a + 7247757312) + _t**2*(-2048*a**6 - 50688*a**5 - 520704*a**4 - 2842624*a**3 - 8699904*a**2 - 14155776*a - 9568256) + _t*(1152*a**4 + 17792*a**3 + 102912*a**2 + 264192*a + 253952) + 16*a**3 - 57*a**2 - 984*a - 2064, Lambda(_t, _t*log(x + (98304*_t**3*a**12 + 3948544*_t**3*a**11 + 72196096*_t**3*a**10 + 793837568*_t**3*a**9 + 5839372288*_t**3*a**8 + 30226464768*_t**3*a**7 + 112668450816*_t**3*a**6 + 303864643584*_t**3*a**5 + 586157391872*_t**3*a**4 + 784017129472*_t**3*a**3 + 683648483328*_t**3*a**2 + 343136010240*_t**3*a + 72477573120*_t**3 + 30208*_t**2*a**10 + 986624*_t**2*a**9 + 14420992*_t**2*a**8 + 124156928*_t**2*a**7 + 696815104*_t**2*a**6 + 2661758464*_t**2*a**5 + 7001485312*_t**2*a**4 + 12506562560*_t**2*a**3 + 14494924800*_t**2*a**2 + 9820569600*_t**2*a + 2944401408*_t**2 - 1536*_t*a**9 - 52048*_t*a**8 - 757040*_t*a**7 - 6200656*_t*a**6 - 31380496*_t*a**5 - 100736416*_t*a**4 - 200813696*_t*a**3 - 228144640*_t*a**2 - 114632704*_t*a - 2490368*_t + 248*a**7 + 6797*a**6 + 71132*a**5 + 369745*a**4 + 987758*a**3 + 1128896*a**2 - 129568*a - 956416)/(576*a**7 + 10985*a**6 + 88746*a**5 + 396609*a**4 + 1076268*a**3 + 1826304*a**2 + 1867776*a + 917504))))","B",0
129,1,1102,0,88.090444," ","integrate(x/(-x**4+4*x**3-8*x**2+a+8*x)**3,x)","- \frac{- 9 a^{3} - 21 a^{2} + 36 a + x^{7} \left(12 a + 42\right) + x^{6} \left(6 a^{2} - 48 a - 240\right) + x^{5} \left(- 29 a^{2} + 127 a + 792\right) + x^{4} \left(73 a^{2} - 227 a - 1668\right) + x^{3} \left(- 124 a^{2} + 206 a + 2208\right) + x^{2} \left(- 10 a^{3} + 52 a^{2} - 280 a - 2016\right) + x \left(9 a^{3} - 51 a^{2} - 120 a + 576\right)}{32 a^{6} + 448 a^{5} + 2336 a^{4} + 5376 a^{3} + 4608 a^{2} + x^{8} \left(32 a^{4} + 448 a^{3} + 2336 a^{2} + 5376 a + 4608\right) + x^{7} \left(- 256 a^{4} - 3584 a^{3} - 18688 a^{2} - 43008 a - 36864\right) + x^{6} \left(1024 a^{4} + 14336 a^{3} + 74752 a^{2} + 172032 a + 147456\right) + x^{5} \left(- 2560 a^{4} - 35840 a^{3} - 186880 a^{2} - 430080 a - 368640\right) + x^{4} \left(- 64 a^{5} + 3200 a^{4} + 52672 a^{3} + 288256 a^{2} + 678912 a + 589824\right) + x^{3} \left(256 a^{5} - 512 a^{4} - 38656 a^{3} - 256000 a^{2} - 651264 a - 589824\right) + x^{2} \left(- 512 a^{5} - 5120 a^{4} - 8704 a^{3} + 63488 a^{2} + 270336 a + 294912\right) + x \left(512 a^{5} + 7168 a^{4} + 37376 a^{3} + 86016 a^{2} + 73728 a\right)} - \operatorname{RootSum} {\left(t^{4} \left(268435456 a^{15} + 14763950080 a^{14} + 378493992960 a^{13} + 5999532441600 a^{12} + 65757291479040 a^{11} + 527875908304896 a^{10} + 3206246773555200 a^{9} + 15003759578972160 a^{8} + 54537151127224320 a^{7} + 153980418717122560 a^{6} + 334927734494986240 a^{5} + 551152193655275520 a^{4} + 664192984106926080 a^{3} + 553362212027105280 a^{2} + 284993413919539200 a + 68398419340689408\right) + t^{2} \left(- 4718592 a^{10} - 196116480 a^{9} - 3648061440 a^{8} - 40022212608 a^{7} - 286939938816 a^{6} - 1405437345792 a^{5} - 4764645457920 a^{4} - 11043392716800 a^{3} - 16752587046912 a^{2} - 15023392948224 a - 6049461436416\right) + t \left(- 2709504 a^{7} - 72880128 a^{6} - 839890944 a^{5} - 5375877120 a^{4} - 20640890880 a^{3} - 47542173696 a^{2} - 60827369472 a - 33351008256\right) + 20736 a^{5} - 155601 a^{4} - 4706424 a^{3} - 29249424 a^{2} - 74027520 a - 68345856, \left( t \mapsto t \log{\left(x + \frac{- 469762048 t^{3} a^{20} - 31417434112 t^{3} a^{19} - 992305217536 t^{3} a^{18} - 19663576629248 t^{3} a^{17} - 273880031690752 t^{3} a^{16} - 2846116194287616 t^{3} a^{15} - 22853982892326912 t^{3} a^{14} - 144840417605582848 t^{3} a^{13} - 733193154773123072 t^{3} a^{12} - 2977941469704224768 t^{3} a^{11} - 9677197373117300736 t^{3} a^{10} - 24850421452415959040 t^{3} a^{9} - 48984708931769073664 t^{3} a^{8} - 69124682329943441408 t^{3} a^{7} - 54921507243737219072 t^{3} a^{6} + 18833423088924753920 t^{3} a^{5} + 128767022044444360704 t^{3} a^{4} + 197893824476545548288 t^{3} a^{3} + 170576989286005997568 t^{3} a^{2} + 83709868624400351232 t^{3} a + 18392762450832261120 t^{3} + 136642560 t^{2} a^{17} + 7616593920 t^{2} a^{16} + 198980665344 t^{2} a^{15} + 3234300690432 t^{2} a^{14} + 36614363283456 t^{2} a^{13} + 306155605721088 t^{2} a^{12} + 1956339656687616 t^{2} a^{11} + 9747894775578624 t^{2} a^{10} + 38291841445330944 t^{2} a^{9} + 119050488573591552 t^{2} a^{8} + 292236772188880896 t^{2} a^{7} + 561261720373297152 t^{2} a^{6} + 828898581078343680 t^{2} a^{5} + 914439454498750464 t^{2} a^{4} + 718255692208668672 t^{2} a^{3} + 369227414724673536 t^{2} a^{2} + 104815442748506112 t^{2} a + 10263520138493952 t^{2} + 4128768 t a^{15} + 235608192 t a^{14} + 6050117376 t a^{13} + 92875570560 t a^{12} + 950838962688 t a^{11} + 6825858397056 t a^{10} + 34932826734336 t a^{9} + 125262778564224 t a^{8} + 287989861404672 t a^{7} + 257684685023232 t a^{6} - 836263788945408 t a^{5} - 4002432415137792 t a^{4} - 8409454278082560 t a^{3} - 10371340262965248 t a^{2} - 7285247072796672 t a - 2270140431335424 t + 1000512 a^{12} + 42546357 a^{11} + 777344580 a^{10} + 7998006582 a^{9} + 50045408388 a^{8} + 182866499613 a^{7} + 247394170512 a^{6} - 1063305068832 a^{5} - 6960658344192 a^{4} - 19132655580288 a^{3} - 30001872614400 a^{2} - 26192892672000 a - 9953981595648}{1354752 a^{12} + 44550027 a^{11} + 663517980 a^{10} + 5951170602 a^{9} + 36270700668 a^{8} + 162289912419 a^{7} + 567868212432 a^{6} + 1626099007104 a^{5} + 3825839091456 a^{4} + 7035734732544 a^{3} + 9216760449024 a^{2} + 7467334520832 a + 2773884911616} \right)} \right)\right)}"," ",0,"-(-9*a**3 - 21*a**2 + 36*a + x**7*(12*a + 42) + x**6*(6*a**2 - 48*a - 240) + x**5*(-29*a**2 + 127*a + 792) + x**4*(73*a**2 - 227*a - 1668) + x**3*(-124*a**2 + 206*a + 2208) + x**2*(-10*a**3 + 52*a**2 - 280*a - 2016) + x*(9*a**3 - 51*a**2 - 120*a + 576))/(32*a**6 + 448*a**5 + 2336*a**4 + 5376*a**3 + 4608*a**2 + x**8*(32*a**4 + 448*a**3 + 2336*a**2 + 5376*a + 4608) + x**7*(-256*a**4 - 3584*a**3 - 18688*a**2 - 43008*a - 36864) + x**6*(1024*a**4 + 14336*a**3 + 74752*a**2 + 172032*a + 147456) + x**5*(-2560*a**4 - 35840*a**3 - 186880*a**2 - 430080*a - 368640) + x**4*(-64*a**5 + 3200*a**4 + 52672*a**3 + 288256*a**2 + 678912*a + 589824) + x**3*(256*a**5 - 512*a**4 - 38656*a**3 - 256000*a**2 - 651264*a - 589824) + x**2*(-512*a**5 - 5120*a**4 - 8704*a**3 + 63488*a**2 + 270336*a + 294912) + x*(512*a**5 + 7168*a**4 + 37376*a**3 + 86016*a**2 + 73728*a)) - RootSum(_t**4*(268435456*a**15 + 14763950080*a**14 + 378493992960*a**13 + 5999532441600*a**12 + 65757291479040*a**11 + 527875908304896*a**10 + 3206246773555200*a**9 + 15003759578972160*a**8 + 54537151127224320*a**7 + 153980418717122560*a**6 + 334927734494986240*a**5 + 551152193655275520*a**4 + 664192984106926080*a**3 + 553362212027105280*a**2 + 284993413919539200*a + 68398419340689408) + _t**2*(-4718592*a**10 - 196116480*a**9 - 3648061440*a**8 - 40022212608*a**7 - 286939938816*a**6 - 1405437345792*a**5 - 4764645457920*a**4 - 11043392716800*a**3 - 16752587046912*a**2 - 15023392948224*a - 6049461436416) + _t*(-2709504*a**7 - 72880128*a**6 - 839890944*a**5 - 5375877120*a**4 - 20640890880*a**3 - 47542173696*a**2 - 60827369472*a - 33351008256) + 20736*a**5 - 155601*a**4 - 4706424*a**3 - 29249424*a**2 - 74027520*a - 68345856, Lambda(_t, _t*log(x + (-469762048*_t**3*a**20 - 31417434112*_t**3*a**19 - 992305217536*_t**3*a**18 - 19663576629248*_t**3*a**17 - 273880031690752*_t**3*a**16 - 2846116194287616*_t**3*a**15 - 22853982892326912*_t**3*a**14 - 144840417605582848*_t**3*a**13 - 733193154773123072*_t**3*a**12 - 2977941469704224768*_t**3*a**11 - 9677197373117300736*_t**3*a**10 - 24850421452415959040*_t**3*a**9 - 48984708931769073664*_t**3*a**8 - 69124682329943441408*_t**3*a**7 - 54921507243737219072*_t**3*a**6 + 18833423088924753920*_t**3*a**5 + 128767022044444360704*_t**3*a**4 + 197893824476545548288*_t**3*a**3 + 170576989286005997568*_t**3*a**2 + 83709868624400351232*_t**3*a + 18392762450832261120*_t**3 + 136642560*_t**2*a**17 + 7616593920*_t**2*a**16 + 198980665344*_t**2*a**15 + 3234300690432*_t**2*a**14 + 36614363283456*_t**2*a**13 + 306155605721088*_t**2*a**12 + 1956339656687616*_t**2*a**11 + 9747894775578624*_t**2*a**10 + 38291841445330944*_t**2*a**9 + 119050488573591552*_t**2*a**8 + 292236772188880896*_t**2*a**7 + 561261720373297152*_t**2*a**6 + 828898581078343680*_t**2*a**5 + 914439454498750464*_t**2*a**4 + 718255692208668672*_t**2*a**3 + 369227414724673536*_t**2*a**2 + 104815442748506112*_t**2*a + 10263520138493952*_t**2 + 4128768*_t*a**15 + 235608192*_t*a**14 + 6050117376*_t*a**13 + 92875570560*_t*a**12 + 950838962688*_t*a**11 + 6825858397056*_t*a**10 + 34932826734336*_t*a**9 + 125262778564224*_t*a**8 + 287989861404672*_t*a**7 + 257684685023232*_t*a**6 - 836263788945408*_t*a**5 - 4002432415137792*_t*a**4 - 8409454278082560*_t*a**3 - 10371340262965248*_t*a**2 - 7285247072796672*_t*a - 2270140431335424*_t + 1000512*a**12 + 42546357*a**11 + 777344580*a**10 + 7998006582*a**9 + 50045408388*a**8 + 182866499613*a**7 + 247394170512*a**6 - 1063305068832*a**5 - 6960658344192*a**4 - 19132655580288*a**3 - 30001872614400*a**2 - 26192892672000*a - 9953981595648)/(1354752*a**12 + 44550027*a**11 + 663517980*a**10 + 5951170602*a**9 + 36270700668*a**8 + 162289912419*a**7 + 567868212432*a**6 + 1626099007104*a**5 + 3825839091456*a**4 + 7035734732544*a**3 + 9216760449024*a**2 + 7467334520832*a + 2773884911616))))","B",0
130,1,219,0,0.145247," ","integrate(x**2*(-x**4+4*x**3-8*x**2+a+8*x)**4,x)","\frac{a^{4} x^{3}}{3} + 8 a^{3} x^{4} + \frac{x^{19}}{19} - \frac{8 x^{18}}{9} + \frac{128 x^{17}}{17} - 42 x^{16} + x^{15} \left(\frac{512}{3} - \frac{4 a}{15}\right) + x^{14} \left(\frac{24 a}{7} - \frac{3712}{7}\right) + x^{13} \left(\frac{16768}{13} - \frac{288 a}{13}\right) + x^{12} \left(\frac{280 a}{3} - \frac{7424}{3}\right) + x^{11} \left(\frac{6 a^{2}}{11} - \frac{3072 a}{11} + \frac{40960}{11}\right) + x^{10} \left(- \frac{24 a^{2}}{5} + \frac{3072 a}{5} - \frac{21504}{5}\right) + x^{9} \left(\frac{64 a^{2}}{3} - \frac{8960 a}{9} + \frac{32768}{9}\right) + x^{8} \left(- 60 a^{2} + 1152 a - 2048\right) + x^{7} \left(- \frac{4 a^{3}}{7} + \frac{768 a^{2}}{7} - \frac{6144 a}{7} + \frac{4096}{7}\right) + x^{6} \left(\frac{8 a^{3}}{3} - 128 a^{2} + \frac{1024 a}{3}\right) + x^{5} \left(- \frac{32 a^{3}}{5} + \frac{384 a^{2}}{5}\right)"," ",0,"a**4*x**3/3 + 8*a**3*x**4 + x**19/19 - 8*x**18/9 + 128*x**17/17 - 42*x**16 + x**15*(512/3 - 4*a/15) + x**14*(24*a/7 - 3712/7) + x**13*(16768/13 - 288*a/13) + x**12*(280*a/3 - 7424/3) + x**11*(6*a**2/11 - 3072*a/11 + 40960/11) + x**10*(-24*a**2/5 + 3072*a/5 - 21504/5) + x**9*(64*a**2/3 - 8960*a/9 + 32768/9) + x**8*(-60*a**2 + 1152*a - 2048) + x**7*(-4*a**3/7 + 768*a**2/7 - 6144*a/7 + 4096/7) + x**6*(8*a**3/3 - 128*a**2 + 1024*a/3) + x**5*(-32*a**3/5 + 384*a**2/5)","A",0
131,1,134,0,0.097101," ","integrate(x**2*(-x**4+4*x**3-8*x**2+a+8*x)**3,x)","\frac{a^{3} x^{3}}{3} + 6 a^{2} x^{4} - \frac{x^{15}}{15} + \frac{6 x^{14}}{7} - \frac{72 x^{13}}{13} + \frac{70 x^{12}}{3} + x^{11} \left(\frac{3 a}{11} - \frac{768}{11}\right) + x^{10} \left(\frac{768}{5} - \frac{12 a}{5}\right) + x^{9} \left(\frac{32 a}{3} - \frac{2240}{9}\right) + x^{8} \left(288 - 30 a\right) + x^{7} \left(- \frac{3 a^{2}}{7} + \frac{384 a}{7} - \frac{1536}{7}\right) + x^{6} \left(2 a^{2} - 64 a + \frac{256}{3}\right) + x^{5} \left(- \frac{24 a^{2}}{5} + \frac{192 a}{5}\right)"," ",0,"a**3*x**3/3 + 6*a**2*x**4 - x**15/15 + 6*x**14/7 - 72*x**13/13 + 70*x**12/3 + x**11*(3*a/11 - 768/11) + x**10*(768/5 - 12*a/5) + x**9*(32*a/3 - 2240/9) + x**8*(288 - 30*a) + x**7*(-3*a**2/7 + 384*a/7 - 1536/7) + x**6*(2*a**2 - 64*a + 256/3) + x**5*(-24*a**2/5 + 192*a/5)","A",0
132,1,73,0,0.077025," ","integrate(x**2*(-x**4+4*x**3-8*x**2+a+8*x)**2,x)","\frac{a^{2} x^{3}}{3} + 4 a x^{4} + \frac{x^{11}}{11} - \frac{4 x^{10}}{5} + \frac{32 x^{9}}{9} - 10 x^{8} + x^{7} \left(\frac{128}{7} - \frac{2 a}{7}\right) + x^{6} \left(\frac{4 a}{3} - \frac{64}{3}\right) + x^{5} \left(\frac{64}{5} - \frac{16 a}{5}\right)"," ",0,"a**2*x**3/3 + 4*a*x**4 + x**11/11 - 4*x**10/5 + 32*x**9/9 - 10*x**8 + x**7*(128/7 - 2*a/7) + x**6*(4*a/3 - 64/3) + x**5*(64/5 - 16*a/5)","A",0
133,1,29,0,0.061614," ","integrate(x**2*(-x**4+4*x**3-8*x**2+a+8*x),x)","\frac{a x^{3}}{3} - \frac{x^{7}}{7} + \frac{2 x^{6}}{3} - \frac{8 x^{5}}{5} + 2 x^{4}"," ",0,"a*x**3/3 - x**7/7 + 2*x**6/3 - 8*x**5/5 + 2*x**4","A",0
134,1,172,0,7.606895," ","integrate(x**2/(-x**4+4*x**3-8*x**2+a+8*x),x)","- \operatorname{RootSum} {\left(t^{4} \left(256 a^{3} + 2816 a^{2} + 10240 a + 12288\right) + t^{2} \left(- 160 a^{2} - 1152 a - 2048\right) + t \left(- 32 a^{2} - 256 a - 512\right) - a^{2}, \left( t \mapsto t \log{\left(x + \frac{- 64 t^{3} a^{4} - 448 t^{3} a^{3} - 256 t^{3} a^{2} + 3584 t^{3} a + 6144 t^{3} - 224 t^{2} a^{3} - 2208 t^{2} a^{2} - 7168 t^{2} a - 7680 t^{2} + 56 t a^{3} + 400 t a^{2} + 864 t a + 512 t + 5 a^{3} + 34 a^{2} + 56 a}{a^{3} + 60 a^{2} + 320 a + 448} \right)} \right)\right)}"," ",0,"-RootSum(_t**4*(256*a**3 + 2816*a**2 + 10240*a + 12288) + _t**2*(-160*a**2 - 1152*a - 2048) + _t*(-32*a**2 - 256*a - 512) - a**2, Lambda(_t, _t*log(x + (-64*_t**3*a**4 - 448*_t**3*a**3 - 256*_t**3*a**2 + 3584*_t**3*a + 6144*_t**3 - 224*_t**2*a**3 - 2208*_t**2*a**2 - 7168*_t**2*a - 7680*_t**2 + 56*_t*a**3 + 400*_t*a**2 + 864*_t*a + 512*_t + 5*a**3 + 34*a**2 + 56*a)/(a**3 + 60*a**2 + 320*a + 448))))","B",0
135,1,561,0,43.732521," ","integrate(x**2/(-x**4+4*x**3-8*x**2+a+8*x)**2,x)","\frac{- a + x^{3} \left(- a - 4\right) + x^{2} \left(a + 6\right) + x \left(- a - 8\right)}{- 4 a^{3} - 28 a^{2} - 48 a + x^{4} \left(4 a^{2} + 28 a + 48\right) + x^{3} \left(- 16 a^{2} - 112 a - 192\right) + x^{2} \left(32 a^{2} + 224 a + 384\right) + x \left(- 32 a^{2} - 224 a - 384\right)} + \operatorname{RootSum} {\left(t^{4} \left(65536 a^{9} + 2162688 a^{8} + 31653888 a^{7} + 269680640 a^{6} + 1473773568 a^{5} + 5357174784 a^{4} + 12952010752 a^{3} + 20082327552 a^{2} + 18119393280 a + 7247757312\right) + t^{2} \left(- 9728 a^{6} - 209408 a^{5} - 1878016 a^{4} - 8986624 a^{3} - 24215552 a^{2} - 34865152 a - 20971520\right) + t \left(256 a^{5} + 5888 a^{4} + 53248 a^{3} + 237568 a^{2} + 524288 a + 458752\right) - a^{4} + 144 a^{3} + 1024 a^{2} + 1792 a, \left( t \mapsto t \log{\left(x + \frac{4096 t^{3} a^{12} - 61440 t^{3} a^{11} - 5480448 t^{3} a^{10} - 111403008 t^{3} a^{9} - 1227173888 t^{3} a^{8} - 8682876928 t^{3} a^{7} - 42187440128 t^{3} a^{6} - 144630284288 t^{3} a^{5} - 350972280832 t^{3} a^{4} - 591750234112 t^{3} a^{3} - 660716126208 t^{3} a^{2} - 439848271872 t^{3} a - 132271570944 t^{3} - 28672 t^{2} a^{10} - 993280 t^{2} a^{9} - 15400960 t^{2} a^{8} - 140742656 t^{2} a^{7} - 839462912 t^{2} a^{6} - 3414427648 t^{2} a^{5} - 9590087680 t^{2} a^{4} - 18363547648 t^{2} a^{3} - 22938255360 t^{2} a^{2} - 16873684992 t^{2} a - 5549064192 t^{2} - 848 t a^{9} - 6096 t a^{8} + 174608 t a^{7} + 3323792 t a^{6} + 26276224 t a^{5} + 119009280 t a^{4} + 332017664 t a^{3} + 566497280 t a^{2} + 544112640 t a + 225837056 t + 11 a^{8} + 958 a^{7} + 17419 a^{6} + 142964 a^{5} + 632632 a^{4} + 1567552 a^{3} + 2049792 a^{2} + 1100800 a}{a^{8} + 870 a^{7} + 18289 a^{6} + 165176 a^{5} + 824560 a^{4} + 2452288 a^{3} + 4340224 a^{2} + 4229120 a + 1748992} \right)} \right)\right)}"," ",0,"(-a + x**3*(-a - 4) + x**2*(a + 6) + x*(-a - 8))/(-4*a**3 - 28*a**2 - 48*a + x**4*(4*a**2 + 28*a + 48) + x**3*(-16*a**2 - 112*a - 192) + x**2*(32*a**2 + 224*a + 384) + x*(-32*a**2 - 224*a - 384)) + RootSum(_t**4*(65536*a**9 + 2162688*a**8 + 31653888*a**7 + 269680640*a**6 + 1473773568*a**5 + 5357174784*a**4 + 12952010752*a**3 + 20082327552*a**2 + 18119393280*a + 7247757312) + _t**2*(-9728*a**6 - 209408*a**5 - 1878016*a**4 - 8986624*a**3 - 24215552*a**2 - 34865152*a - 20971520) + _t*(256*a**5 + 5888*a**4 + 53248*a**3 + 237568*a**2 + 524288*a + 458752) - a**4 + 144*a**3 + 1024*a**2 + 1792*a, Lambda(_t, _t*log(x + (4096*_t**3*a**12 - 61440*_t**3*a**11 - 5480448*_t**3*a**10 - 111403008*_t**3*a**9 - 1227173888*_t**3*a**8 - 8682876928*_t**3*a**7 - 42187440128*_t**3*a**6 - 144630284288*_t**3*a**5 - 350972280832*_t**3*a**4 - 591750234112*_t**3*a**3 - 660716126208*_t**3*a**2 - 439848271872*_t**3*a - 132271570944*_t**3 - 28672*_t**2*a**10 - 993280*_t**2*a**9 - 15400960*_t**2*a**8 - 140742656*_t**2*a**7 - 839462912*_t**2*a**6 - 3414427648*_t**2*a**5 - 9590087680*_t**2*a**4 - 18363547648*_t**2*a**3 - 22938255360*_t**2*a**2 - 16873684992*_t**2*a - 5549064192*_t**2 - 848*_t*a**9 - 6096*_t*a**8 + 174608*_t*a**7 + 3323792*_t*a**6 + 26276224*_t*a**5 + 119009280*_t*a**4 + 332017664*_t*a**3 + 566497280*_t*a**2 + 544112640*_t*a + 225837056*_t + 11*a**8 + 958*a**7 + 17419*a**6 + 142964*a**5 + 632632*a**4 + 1567552*a**3 + 2049792*a**2 + 1100800*a)/(a**8 + 870*a**7 + 18289*a**6 + 165176*a**5 + 824560*a**4 + 2452288*a**3 + 4340224*a**2 + 4229120*a + 1748992))))","B",0
136,-1,0,0,0.000000," ","integrate(x**4/(b**3*x**6+9*a*b**2*x**4+27*a**2*c*x**3+27*a**2*b*x**2+27*a**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,-1,0,0,0.000000," ","integrate(x**3/(b**3*x**6+9*a*b**2*x**4+27*a**2*c*x**3+27*a**2*b*x**2+27*a**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
138,-1,0,0,0.000000," ","integrate(x**2/(b**3*x**6+9*a*b**2*x**4+27*a**2*c*x**3+27*a**2*b*x**2+27*a**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,-1,0,0,0.000000," ","integrate(x/(b**3*x**6+9*a*b**2*x**4+27*a**2*c*x**3+27*a**2*b*x**2+27*a**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,-1,0,0,0.000000," ","integrate(1/(b**3*x**6+9*a*b**2*x**4+27*a**2*c*x**3+27*a**2*b*x**2+27*a**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
141,-1,0,0,0.000000," ","integrate(1/x/(b**3*x**6+9*a*b**2*x**4+27*a**2*c*x**3+27*a**2*b*x**2+27*a**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
142,-1,0,0,0.000000," ","integrate(1/x**2/(b**3*x**6+9*a*b**2*x**4+27*a**2*c*x**3+27*a**2*b*x**2+27*a**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,1,70,0,0.256705," ","integrate(x**5/(x**6+18*x**4+324*x**3+108*x**2+216),x)","\operatorname{RootSum} {\left(72662865048 t^{6} - 72662865048 t^{5} + 24163559388 t^{4} - 2646786132 t^{3} - 6626610 t^{2} - 4374 t - 1, \left( t \mapsto t \log{\left(- \frac{89236417131047376 t^{5}}{833243797} + \frac{89301949532998128 t^{4}}{833243797} - \frac{29740560281805852 t^{3}}{833243797} + \frac{192466080408420 t^{2}}{49014341} + \frac{5867255361684 t}{833243797} + x + \frac{5365044886}{2499731391} \right)} \right)\right)}"," ",0,"RootSum(72662865048*_t**6 - 72662865048*_t**5 + 24163559388*_t**4 - 2646786132*_t**3 - 6626610*_t**2 - 4374*_t - 1, Lambda(_t, _t*log(-89236417131047376*_t**5/833243797 + 89301949532998128*_t**4/833243797 - 29740560281805852*_t**3/833243797 + 192466080408420*_t**2/49014341 + 5867255361684*_t/833243797 + x + 5365044886/2499731391)))","A",0
144,1,65,0,0.275366," ","integrate(x**4/(x**6+18*x**4+324*x**3+108*x**2+216),x)","\operatorname{RootSum} {\left(15695178850368 t^{6} - 2066242608 t^{4} + 1845163152 t^{3} - 1180980 t^{2} - 1944 t - 1, \left( t \mapsto t \log{\left(\frac{614714526178551746208 t^{5}}{57121295165} - \frac{1270857362386176 t^{4}}{57121295165} - \frac{80483053187684376 t^{3}}{57121295165} + \frac{72431318325103884 t^{2}}{57121295165} - \frac{45358602689088 t}{57121295165} + x - \frac{44532180783}{57121295165} \right)} \right)\right)}"," ",0,"RootSum(15695178850368*_t**6 - 2066242608*_t**4 + 1845163152*_t**3 - 1180980*_t**2 - 1944*_t - 1, Lambda(_t, _t*log(614714526178551746208*_t**5/57121295165 - 1270857362386176*_t**4/57121295165 - 80483053187684376*_t**3/57121295165 + 72431318325103884*_t**2/57121295165 - 45358602689088*_t/57121295165 + x - 44532180783/57121295165)))","A",0
145,1,61,0,0.246792," ","integrate(x**3/(x**6+18*x**4+324*x**3+108*x**2+216),x)","\operatorname{RootSum} {\left(3390158631679488 t^{6} - 74384733888 t^{4} - 1332145440 t^{3} - 1417176 t^{2} - 1, \left( t \mapsto t \log{\left(- \frac{8482372214243328 t^{5}}{415817} + \frac{2216055910930560 t^{4}}{415817} - \frac{2062546612992 t^{3}}{415817} - \frac{57027208896 t^{2}}{415817} - \frac{416583756 t}{415817} + x - \frac{89938}{415817} \right)} \right)\right)}"," ",0,"RootSum(3390158631679488*_t**6 - 74384733888*_t**4 - 1332145440*_t**3 - 1417176*_t**2 - 1, Lambda(_t, _t*log(-8482372214243328*_t**5/415817 + 2216055910930560*_t**4/415817 - 2062546612992*_t**3/415817 - 57027208896*_t**2/415817 - 416583756*_t/415817 + x - 89938/415817)))","A",0
146,1,48,0,0.205272," ","integrate(x**2/(x**6+18*x**4+324*x**3+108*x**2+216),x)","\operatorname{RootSum} {\left(732274264442769408 t^{6} - 2677850419968 t^{4} + 2834352 t^{2} - 1, \left( t \mapsto t \log{\left(10170475895038464 t^{5} - 5231726283456 t^{4} - 31809932496 t^{3} + 19131876 t^{2} + 19683 t + x - \frac{27}{2} \right)} \right)\right)}"," ",0,"RootSum(732274264442769408*_t**6 - 2677850419968*_t**4 + 2834352*_t**2 - 1, Lambda(_t, _t*log(10170475895038464*_t**5 - 5231726283456*_t**4 - 31809932496*_t**3 + 19131876*_t**2 + 19683*_t + x - 27/2)))","A",0
147,1,61,0,0.257082," ","integrate(x/(x**6+18*x**4+324*x**3+108*x**2+216),x)","\operatorname{RootSum} {\left(158171241119638192128 t^{6} - 96402615118848 t^{4} + 287743415040 t^{3} - 51018336 t^{2} - 1, \left( t \mapsto t \log{\left(\frac{65418399445721140961280 t^{5}}{415817} + \frac{2480926457425102848 t^{4}}{415817} - \frac{39451802929737984 t^{3}}{415817} + \frac{118071997444800 t^{2}}{415817} - \frac{16745884920 t}{415817} + x - \frac{268790}{415817} \right)} \right)\right)}"," ",0,"RootSum(158171241119638192128*_t**6 - 96402615118848*_t**4 + 287743415040*_t**3 - 51018336*_t**2 - 1, Lambda(_t, _t*log(65418399445721140961280*_t**5/415817 + 2480926457425102848*_t**4/415817 - 39451802929737984*_t**3/415817 + 118071997444800*_t**2/415817 - 16745884920*_t/415817 + x - 268790/415817)))","A",0
148,1,65,0,0.274429," ","integrate(1/(x**6+18*x**4+324*x**3+108*x**2+216),x)","\operatorname{RootSum} {\left(34164988081841849499648 t^{6} - 3470494144278528 t^{4} - 86087932019712 t^{3} - 1530550080 t^{2} + 69984 t - 1, \left( t \mapsto t \log{\left(\frac{185904446699109611410573787136 t^{5}}{57121295165} + \frac{6377301253267917382766592 t^{4}}{57121295165} - \frac{18904636002388564311552 t^{3}}{57121295165} - \frac{469080552915181723968 t^{2}}{57121295165} - \frac{24358640509989936 t}{57121295165} + x + \frac{152427895956}{57121295165} \right)} \right)\right)}"," ",0,"RootSum(34164988081841849499648*_t**6 - 3470494144278528*_t**4 - 86087932019712*_t**3 - 1530550080*_t**2 + 69984*_t - 1, Lambda(_t, _t*log(185904446699109611410573787136*_t**5/57121295165 + 6377301253267917382766592*_t**4/57121295165 - 18904636002388564311552*_t**3/57121295165 - 469080552915181723968*_t**2/57121295165 - 24358640509989936*_t/57121295165 + x + 152427895956/57121295165)))","A",0
149,1,82,0,0.416577," ","integrate(1/x/(x**6+18*x**4+324*x**3+108*x**2+216),x)","\frac{\log{\left(x \right)}}{216} + \operatorname{RootSum} {\left(7379637425677839491923968 t^{6} + 34164988081841849499648 t^{5} + 52598809250685370368 t^{4} + 26673506015311872 t^{3} - 309171116160 t^{2} + 944784 t - 1, \left( t \mapsto t \log{\left(\frac{8145570099668817936783362115119297360560128 t^{6}}{143425799309052440063} + \frac{977068766770806381087358257564745728 t^{5}}{143425799309052440063} - \frac{116529526608851264288400971539061538816 t^{4}}{143425799309052440063} - \frac{239359794985242202542501440710766592 t^{3}}{143425799309052440063} - \frac{136678312638137094439887341418240 t^{2}}{143425799309052440063} + \frac{1563115569067663795735413696 t}{143425799309052440063} + x - \frac{3164446315075236190044}{143425799309052440063} \right)} \right)\right)}"," ",0,"log(x)/216 + RootSum(7379637425677839491923968*_t**6 + 34164988081841849499648*_t**5 + 52598809250685370368*_t**4 + 26673506015311872*_t**3 - 309171116160*_t**2 + 944784*_t - 1, Lambda(_t, _t*log(8145570099668817936783362115119297360560128*_t**6/143425799309052440063 + 977068766770806381087358257564745728*_t**5/143425799309052440063 - 116529526608851264288400971539061538816*_t**4/143425799309052440063 - 239359794985242202542501440710766592*_t**3/143425799309052440063 - 136678312638137094439887341418240*_t**2/143425799309052440063 + 1563115569067663795735413696*_t/143425799309052440063 + x - 3164446315075236190044/143425799309052440063)))","A",0
150,1,70,0,0.318552," ","integrate(1/x**2/(x**6+18*x**4+324*x**3+108*x**2+216),x)","\operatorname{RootSum} {\left(1594001683946413330255577088 t^{6} + 3791612026460331638784 t^{4} - 8643672699589509120 t^{3} - 10942820851968 t^{2} - 839808 t - 1, \left( t \mapsto t \log{\left(- \frac{49875532761902496003293561236914468028416 t^{5}}{12350449784703991795} + \frac{12625489872431620388005975200497664 t^{4}}{12350449784703991795} - \frac{118637692607573771238550798852644864 t^{3}}{12350449784703991795} + \frac{270486324927832147818193778754816 t^{2}}{12350449784703991795} + \frac{273914194897479402961199352 t}{12350449784703991795} + x - \frac{12798926329353908292}{12350449784703991795} \right)} \right)\right)} - \frac{1}{216 x}"," ",0,"RootSum(1594001683946413330255577088*_t**6 + 3791612026460331638784*_t**4 - 8643672699589509120*_t**3 - 10942820851968*_t**2 - 839808*_t - 1, Lambda(_t, _t*log(-49875532761902496003293561236914468028416*_t**5/12350449784703991795 + 12625489872431620388005975200497664*_t**4/12350449784703991795 - 118637692607573771238550798852644864*_t**3/12350449784703991795 + 270486324927832147818193778754816*_t**2/12350449784703991795 + 273914194897479402961199352*_t/12350449784703991795 + x - 12798926329353908292/12350449784703991795))) - 1/(216*x)","A",0
151,1,112,0,0.397495," ","integrate(x**8/(x**6+18*x**4+324*x**3+108*x**2+216)**2,x)","\operatorname{RootSum} {\left(85256017052964187415123360664576 t^{6} + 50105191533385434568704 t^{4} + 48885748051277486016 t^{3} + 865447782603408 t^{2} + 3220532460 t + 4513, \left( t \mapsto t \log{\left(\frac{35492036204084174404119193135483487466590764032 t^{5}}{356900697070792948475845} - \frac{19474160067218837086826809631017022308224 t^{4}}{71380139414158589695169} + \frac{20779963076545132233894582764903396544 t^{3}}{356900697070792948475845} + \frac{20265219154367004972162198012037344 t^{2}}{356900697070792948475845} + \frac{275192468949210532049075145372 t}{356900697070792948475845} + x + \frac{1290285191292177289622012}{1070702091212378845427535} \right)} \right)\right)} + \frac{- 9 x^{5} - 203 x^{4} - 11610 x^{3} - 3990 x^{2} + 324 x - 7884}{34182 x^{6} + 615276 x^{4} + 11074968 x^{3} + 3691656 x^{2} + 7383312}"," ",0,"RootSum(85256017052964187415123360664576*_t**6 + 50105191533385434568704*_t**4 + 48885748051277486016*_t**3 + 865447782603408*_t**2 + 3220532460*_t + 4513, Lambda(_t, _t*log(35492036204084174404119193135483487466590764032*_t**5/356900697070792948475845 - 19474160067218837086826809631017022308224*_t**4/71380139414158589695169 + 20779963076545132233894582764903396544*_t**3/356900697070792948475845 + 20265219154367004972162198012037344*_t**2/356900697070792948475845 + 275192468949210532049075145372*_t/356900697070792948475845 + x + 1290285191292177289622012/1070702091212378845427535))) + (-9*x**5 - 203*x**4 - 11610*x**3 - 3990*x**2 + 324*x - 7884)/(34182*x**6 + 615276*x**4 + 11074968*x**3 + 3691656*x**2 + 7383312)","A",0
152,1,112,0,0.403118," ","integrate(x**7/(x**6+18*x**4+324*x**3+108*x**2+216)**2,x)","\operatorname{RootSum} {\left(589289589870088463413332668913549312 t^{6} - 539640290266075248405737472 t^{4} + 92182638168509682392064 t^{3} - 553241442069170496 t^{2} - 3759837842016 t - 7197829, \left( t \mapsto t \log{\left(\frac{42996027639727447714003743305160746111018438501025999323136 t^{5}}{154206009791052044490694380303237521} - \frac{42584766259508194684689715474422251405157209835847680 t^{4}}{154206009791052044490694380303237521} - \frac{37512446128849588150108369449323754078317341082112 t^{3}}{154206009791052044490694380303237521} + \frac{7152037594021675267638890715531672481920222144 t^{2}}{154206009791052044490694380303237521} - \frac{44227546998835297723830291794974310524032 t}{154206009791052044490694380303237521} + x - \frac{174573349036676047734132569583024855}{154206009791052044490694380303237521} \right)} \right)\right)} + \frac{73 x^{5} - 18 x^{4} + 908 x^{3} + 432 x^{2} - 96 x + 648}{68364 x^{6} + 1230552 x^{4} + 22149936 x^{3} + 7383312 x^{2} + 14766624}"," ",0,"RootSum(589289589870088463413332668913549312*_t**6 - 539640290266075248405737472*_t**4 + 92182638168509682392064*_t**3 - 553241442069170496*_t**2 - 3759837842016*_t - 7197829, Lambda(_t, _t*log(42996027639727447714003743305160746111018438501025999323136*_t**5/154206009791052044490694380303237521 - 42584766259508194684689715474422251405157209835847680*_t**4/154206009791052044490694380303237521 - 37512446128849588150108369449323754078317341082112*_t**3/154206009791052044490694380303237521 + 7152037594021675267638890715531672481920222144*_t**2/154206009791052044490694380303237521 - 44227546998835297723830291794974310524032*_t/154206009791052044490694380303237521 + x - 174573349036676047734132569583024855/154206009791052044490694380303237521))) + (73*x**5 - 18*x**4 + 908*x**3 + 432*x**2 - 96*x + 648)/(68364*x**6 + 1230552*x**4 + 22149936*x**3 + 7383312*x**2 + 14766624)","A",0
153,1,112,0,0.377990," ","integrate(x**6/(x**6+18*x**4+324*x**3+108*x**2+216)**2,x)","\operatorname{RootSum} {\left(3977704731623097128039995515166457856 t^{6} - 1010314319415295961050951680 t^{4} - 20168224477093957151232 t^{3} - 112582856818899648 t^{2} - 50648453064 t - 880007, \left( t \mapsto t \log{\left(- \frac{273655567090018991570649941414395560986199688040644608 t^{5}}{49797855396139900267573395695} + \frac{11837008470196046085308646230764354292805044570112 t^{4}}{49797855396139900267573395695} - \frac{10570581900446717266374077482873315047787008 t^{3}}{49797855396139900267573395695} - \frac{1552547411569469872387563218792789323392 t^{2}}{49797855396139900267573395695} - \frac{12542923791159140826909003250295928 t}{49797855396139900267573395695} + x - \frac{23066533870320322410834348296}{49797855396139900267573395695} \right)} \right)\right)} + \frac{- 3 x^{5} + 73 x^{4} - 72 x^{3} - 64 x^{2} + 108 x - 96}{68364 x^{6} + 1230552 x^{4} + 22149936 x^{3} + 7383312 x^{2} + 14766624}"," ",0,"RootSum(3977704731623097128039995515166457856*_t**6 - 1010314319415295961050951680*_t**4 - 20168224477093957151232*_t**3 - 112582856818899648*_t**2 - 50648453064*_t - 880007, Lambda(_t, _t*log(-273655567090018991570649941414395560986199688040644608*_t**5/49797855396139900267573395695 + 11837008470196046085308646230764354292805044570112*_t**4/49797855396139900267573395695 - 10570581900446717266374077482873315047787008*_t**3/49797855396139900267573395695 - 1552547411569469872387563218792789323392*_t**2/49797855396139900267573395695 - 12542923791159140826909003250295928*_t/49797855396139900267573395695 + x - 23066533870320322410834348296/49797855396139900267573395695))) + (-3*x**5 + 73*x**4 - 72*x**3 - 64*x**2 + 108*x - 96)/(68364*x**6 + 1230552*x**4 + 22149936*x**3 + 7383312*x**2 + 14766624)","A",0
154,1,104,0,0.307303," ","integrate(x**5/(x**6+18*x**4+324*x**3+108*x**2+216)**2,x)","\operatorname{RootSum} {\left(27493895104978847349012449000830556700672 t^{6} - 1318718189226950088862983192576 t^{4} + 12120917704776776448 t^{2} - 39753025, \left( t \mapsto t \log{\left(\frac{947842259001288723909832054550209950242045952 t^{5}}{61864539719962655} - \frac{243458646817775607639654889480814592 t^{4}}{9811980923071} - \frac{41682556475067500431787310779667456 t^{3}}{61864539719962655} + \frac{12026877442664328616462272 t^{2}}{9811980923071} + \frac{216142618488859793668428 t}{61864539719962655} + x - \frac{308574300024117}{39247923692284} \right)} \right)\right)} + \frac{4 x^{5} - 27 x^{4} + 729 x^{3} + 648 x^{2} - 144 x + 972}{615276 x^{6} + 11074968 x^{4} + 199349424 x^{3} + 66449808 x^{2} + 132899616}"," ",0,"RootSum(27493895104978847349012449000830556700672*_t**6 - 1318718189226950088862983192576*_t**4 + 12120917704776776448*_t**2 - 39753025, Lambda(_t, _t*log(947842259001288723909832054550209950242045952*_t**5/61864539719962655 - 243458646817775607639654889480814592*_t**4/9811980923071 - 41682556475067500431787310779667456*_t**3/61864539719962655 + 12026877442664328616462272*_t**2/9811980923071 + 216142618488859793668428*_t/61864539719962655 + x - 308574300024117/39247923692284))) + (4*x**5 - 27*x**4 + 729*x**3 + 648*x**2 - 144*x + 972)/(615276*x**6 + 11074968*x**4 + 199349424*x**3 + 66449808*x**2 + 132899616)","A",0
155,1,112,0,0.387558," ","integrate(x**4/(x**6+18*x**4+324*x**3+108*x**2+216)**2,x)","\operatorname{RootSum} {\left(185583791958607219605834030755606257729536 t^{6} - 1309367357962223565522033377280 t^{4} + 4356336487052294744666112 t^{3} - 4052982845480387328 t^{2} + 303890718384 t - 880007, \left( t \mapsto t \log{\left(\frac{39083462657955593476841044707333565976412952759280634691584 t^{5}}{49797855396139900267573395695} + \frac{8836979346223785538912817601414711102396804462575616 t^{4}}{49797855396139900267573395695} - \frac{264930581348308532588844249597134695706805067776 t^{3}}{49797855396139900267573395695} + \frac{886135333547363185201515109826158376250624 t^{2}}{49797855396139900267573395695} - \frac{682321479574909906511394635855601936 t}{49797855396139900267573395695} + x - \frac{21375560770846486224291519568}{49797855396139900267573395695} \right)} \right)\right)} + \frac{- 9 x^{5} + 8 x^{4} - 216 x^{3} - 1458 x^{2} + 324 x - 288}{1230552 x^{6} + 22149936 x^{4} + 398698848 x^{3} + 132899616 x^{2} + 265799232}"," ",0,"RootSum(185583791958607219605834030755606257729536*_t**6 - 1309367357962223565522033377280*_t**4 + 4356336487052294744666112*_t**3 - 4052982845480387328*_t**2 + 303890718384*_t - 880007, Lambda(_t, _t*log(39083462657955593476841044707333565976412952759280634691584*_t**5/49797855396139900267573395695 + 8836979346223785538912817601414711102396804462575616*_t**4/49797855396139900267573395695 - 264930581348308532588844249597134695706805067776*_t**3/49797855396139900267573395695 + 886135333547363185201515109826158376250624*_t**2/49797855396139900267573395695 - 682321479574909906511394635855601936*_t/49797855396139900267573395695 + x - 21375560770846486224291519568/49797855396139900267573395695))) + (-9*x**5 + 8*x**4 - 216*x**3 - 1458*x**2 + 324*x - 288)/(1230552*x**6 + 22149936*x**4 + 398698848*x**3 + 132899616*x**2 + 265799232)","A",0
156,1,112,0,0.396782," ","integrate(x**3/(x**6+18*x**4+324*x**3+108*x**2+216)**2,x)","\operatorname{RootSum} {\left(1282755170017893101915524820582750453426552832 t^{6} - 906388465775544244426251149770752 t^{4} - 4300873166389987741684137984 t^{3} - 717000908921644962816 t^{2} + 135354162312576 t - 7197829, \left( t \mapsto t \log{\left(\frac{17257935592810449901409556597891882995604001083339368041361480613888 t^{5}}{154206009791052044490694380303237521} + \frac{2389607400620985524376358853572652207181956324560587684052992 t^{4}}{154206009791052044490694380303237521} - \frac{12286072160883283930711715948878260078996992193488388096 t^{3}}{154206009791052044490694380303237521} - \frac{59490553573959173161125496013527909754156558410752 t^{2}}{154206009791052044490694380303237521} - \frac{17520149679836691112367064197713753004827200 t}{154206009791052044490694380303237521} + x + \frac{766422988707229615055855287040887332}{154206009791052044490694380303237521} \right)} \right)\right)} + \frac{4 x^{5} - 27 x^{4} + 96 x^{3} + 648 x^{2} - 3942 x + 972}{3691656 x^{6} + 66449808 x^{4} + 1196096544 x^{3} + 398698848 x^{2} + 797397696}"," ",0,"RootSum(1282755170017893101915524820582750453426552832*_t**6 - 906388465775544244426251149770752*_t**4 - 4300873166389987741684137984*_t**3 - 717000908921644962816*_t**2 + 135354162312576*_t - 7197829, Lambda(_t, _t*log(17257935592810449901409556597891882995604001083339368041361480613888*_t**5/154206009791052044490694380303237521 + 2389607400620985524376358853572652207181956324560587684052992*_t**4/154206009791052044490694380303237521 - 12286072160883283930711715948878260078996992193488388096*_t**3/154206009791052044490694380303237521 - 59490553573959173161125496013527909754156558410752*_t**2/154206009791052044490694380303237521 - 17520149679836691112367064197713753004827200*_t/154206009791052044490694380303237521 + x + 766422988707229615055855287040887332/154206009791052044490694380303237521))) + (4*x**5 - 27*x**4 + 96*x**3 + 648*x**2 - 3942*x + 972)/(3691656*x**6 + 66449808*x**4 + 1196096544*x**3 + 398698848*x**2 + 797397696)","A",0
157,1,112,0,0.386522," ","integrate(x**2/(x**6+18*x**4+324*x**3+108*x**2+216)**2,x)","\operatorname{RootSum} {\left(8658597397620778437929792538933565560629231616 t^{6} + 109068095871770168248838645612544 t^{4} - 492655707593366915713499136 t^{3} + 40378331745144603648 t^{2} - 695635011360 t + 4513, \left( t \mapsto t \log{\left(\frac{101442531561804181113161287039859349851881619653631712165888 t^{5}}{356900697070792948475845} - \frac{149796550082359335112709434971975088967050210050048 t^{4}}{356900697070792948475845} + \frac{1222409754458272818505898777768670783617236992 t^{3}}{356900697070792948475845} - \frac{5775055524251595723022901938558261453824 t^{2}}{356900697070792948475845} + \frac{96165242200260265765603930470432 t}{71380139414158589695169} + x - \frac{17059152341129698120545584}{1070702091212378845427535} \right)} \right)\right)} + \frac{- 9 x^{5} + 8 x^{4} - 216 x^{3} - 2724 x^{2} + 324 x - 7884}{7383312 x^{6} + 132899616 x^{4} + 2392193088 x^{3} + 797397696 x^{2} + 1594795392}"," ",0,"RootSum(8658597397620778437929792538933565560629231616*_t**6 + 109068095871770168248838645612544*_t**4 - 492655707593366915713499136*_t**3 + 40378331745144603648*_t**2 - 695635011360*_t + 4513, Lambda(_t, _t*log(101442531561804181113161287039859349851881619653631712165888*_t**5/356900697070792948475845 - 149796550082359335112709434971975088967050210050048*_t**4/356900697070792948475845 + 1222409754458272818505898777768670783617236992*_t**3/356900697070792948475845 - 5775055524251595723022901938558261453824*_t**2/356900697070792948475845 + 96165242200260265765603930470432*_t/71380139414158589695169 + x - 17059152341129698120545584/1070702091212378845427535))) + (-9*x**5 + 8*x**4 - 216*x**3 - 2724*x**2 + 324*x - 7884)/(7383312*x**6 + 132899616*x**4 + 2392193088*x**3 + 797397696*x**2 + 1594795392)","A",0
158,1,22,0,0.093737," ","integrate((b**2*d*x**5+b**2*c*x**4+2*a*b*d*x**3+2*a*b*c*x**2+a**2*d*x+a**2*c)/(d*x+c),x)","a^{2} x + \frac{2 a b x^{3}}{3} + \frac{b^{2} x^{5}}{5}"," ",0,"a**2*x + 2*a*b*x**3/3 + b**2*x**5/5","A",0
159,1,88,0,0.307829," ","integrate((b**2*d*x**5+b**2*c*x**4+2*a*b*d*x**3+2*a*b*c*x**2+a**2*d*x+a**2*c)/(d*x+c)**2,x)","- \frac{b^{2} c x^{3}}{3 d^{2}} + \frac{b^{2} x^{4}}{4 d} + x^{2} \left(\frac{a b}{d} + \frac{b^{2} c^{2}}{2 d^{3}}\right) + x \left(- \frac{2 a b c}{d^{2}} - \frac{b^{2} c^{3}}{d^{4}}\right) + \frac{\left(a d^{2} + b c^{2}\right)^{2} \log{\left(c + d x \right)}}{d^{5}}"," ",0,"-b**2*c*x**3/(3*d**2) + b**2*x**4/(4*d) + x**2*(a*b/d + b**2*c**2/(2*d**3)) + x*(-2*a*b*c/d**2 - b**2*c**3/d**4) + (a*d**2 + b*c**2)**2*log(c + d*x)/d**5","A",0
160,1,175,0,0.130542," ","integrate((2*c*x+b)*(c*x**2+b*x)**13,x)","\frac{b^{14} x^{14}}{14} + b^{13} c x^{15} + \frac{13 b^{12} c^{2} x^{16}}{2} + 26 b^{11} c^{3} x^{17} + \frac{143 b^{10} c^{4} x^{18}}{2} + 143 b^{9} c^{5} x^{19} + \frac{429 b^{8} c^{6} x^{20}}{2} + \frac{1716 b^{7} c^{7} x^{21}}{7} + \frac{429 b^{6} c^{8} x^{22}}{2} + 143 b^{5} c^{9} x^{23} + \frac{143 b^{4} c^{10} x^{24}}{2} + 26 b^{3} c^{11} x^{25} + \frac{13 b^{2} c^{12} x^{26}}{2} + b c^{13} x^{27} + \frac{c^{14} x^{28}}{14}"," ",0,"b**14*x**14/14 + b**13*c*x**15 + 13*b**12*c**2*x**16/2 + 26*b**11*c**3*x**17 + 143*b**10*c**4*x**18/2 + 143*b**9*c**5*x**19 + 429*b**8*c**6*x**20/2 + 1716*b**7*c**7*x**21/7 + 429*b**6*c**8*x**22/2 + 143*b**5*c**9*x**23 + 143*b**4*c**10*x**24/2 + 26*b**3*c**11*x**25 + 13*b**2*c**12*x**26/2 + b*c**13*x**27 + c**14*x**28/14","B",0
161,1,182,0,0.135730," ","integrate(x**14*(2*c*x**2+b)*(c*x**3+b*x)**13,x)","\frac{b^{14} x^{28}}{28} + \frac{b^{13} c x^{30}}{2} + \frac{13 b^{12} c^{2} x^{32}}{4} + 13 b^{11} c^{3} x^{34} + \frac{143 b^{10} c^{4} x^{36}}{4} + \frac{143 b^{9} c^{5} x^{38}}{2} + \frac{429 b^{8} c^{6} x^{40}}{4} + \frac{858 b^{7} c^{7} x^{42}}{7} + \frac{429 b^{6} c^{8} x^{44}}{4} + \frac{143 b^{5} c^{9} x^{46}}{2} + \frac{143 b^{4} c^{10} x^{48}}{4} + 13 b^{3} c^{11} x^{50} + \frac{13 b^{2} c^{12} x^{52}}{4} + \frac{b c^{13} x^{54}}{2} + \frac{c^{14} x^{56}}{28}"," ",0,"b**14*x**28/28 + b**13*c*x**30/2 + 13*b**12*c**2*x**32/4 + 13*b**11*c**3*x**34 + 143*b**10*c**4*x**36/4 + 143*b**9*c**5*x**38/2 + 429*b**8*c**6*x**40/4 + 858*b**7*c**7*x**42/7 + 429*b**6*c**8*x**44/4 + 143*b**5*c**9*x**46/2 + 143*b**4*c**10*x**48/4 + 13*b**3*c**11*x**50 + 13*b**2*c**12*x**52/4 + b*c**13*x**54/2 + c**14*x**56/28","B",0
162,1,185,0,0.138755," ","integrate(x**28*(2*c*x**3+b)*(c*x**4+b*x)**13,x)","\frac{b^{14} x^{42}}{42} + \frac{b^{13} c x^{45}}{3} + \frac{13 b^{12} c^{2} x^{48}}{6} + \frac{26 b^{11} c^{3} x^{51}}{3} + \frac{143 b^{10} c^{4} x^{54}}{6} + \frac{143 b^{9} c^{5} x^{57}}{3} + \frac{143 b^{8} c^{6} x^{60}}{2} + \frac{572 b^{7} c^{7} x^{63}}{7} + \frac{143 b^{6} c^{8} x^{66}}{2} + \frac{143 b^{5} c^{9} x^{69}}{3} + \frac{143 b^{4} c^{10} x^{72}}{6} + \frac{26 b^{3} c^{11} x^{75}}{3} + \frac{13 b^{2} c^{12} x^{78}}{6} + \frac{b c^{13} x^{81}}{3} + \frac{c^{14} x^{84}}{42}"," ",0,"b**14*x**42/42 + b**13*c*x**45/3 + 13*b**12*c**2*x**48/6 + 26*b**11*c**3*x**51/3 + 143*b**10*c**4*x**54/6 + 143*b**9*c**5*x**57/3 + 143*b**8*c**6*x**60/2 + 572*b**7*c**7*x**63/7 + 143*b**6*c**8*x**66/2 + 143*b**5*c**9*x**69/3 + 143*b**4*c**10*x**72/6 + 26*b**3*c**11*x**75/3 + 13*b**2*c**12*x**78/6 + b*c**13*x**81/3 + c**14*x**84/42","B",0
163,-1,0,0,0.000000," ","integrate(x**(-14+14*n)*(b+2*c*x**n)*(b*x+c*x**(1+n))**13,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
164,1,8,0,0.126903," ","integrate((2*c*x+b)/(c*x**2+b*x),x)","\log{\left(b x + c x^{2} \right)}"," ",0,"log(b*x + c*x**2)","A",0
165,1,12,0,0.178542," ","integrate((2*c*x**2+b)/(c*x**3+b*x),x)","\log{\left(x \right)} + \frac{\log{\left(\frac{b}{c} + x^{2} \right)}}{2}"," ",0,"log(x) + log(b/c + x**2)/2","A",0
166,1,12,0,0.197123," ","integrate((2*c*x**3+b)/(c*x**4+b*x),x)","\log{\left(x \right)} + \frac{\log{\left(\frac{b}{c} + x^{3} \right)}}{3}"," ",0,"log(x) + log(b/c + x**3)/3","A",0
167,1,29,0,1.483482," ","integrate((b+2*c*x**n)/(b*x+c*x**(1+n)),x)","\begin{cases} \log{\left(x \right)} & \text{for}\: c = 0 \wedge n = 0 \\\frac{\left(b + 2 c\right) \log{\left(x \right)}}{b + c} & \text{for}\: n = 0 \\\log{\left(x \right)} & \text{for}\: c = 0 \\\log{\left(x \right)} + \frac{\log{\left(\frac{b}{c} + x^{n} \right)}}{n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x), Eq(c, 0) & Eq(n, 0)), ((b + 2*c)*log(x)/(b + c), Eq(n, 0)), (log(x), Eq(c, 0)), (log(x) + log(b/c + x**n)/n, True))","A",0
168,1,87,0,0.932518," ","integrate((2*c*x+b)/(c*x**2+b*x)**8,x)","- \frac{1}{7 b^{7} x^{7} + 49 b^{6} c x^{8} + 147 b^{5} c^{2} x^{9} + 245 b^{4} c^{3} x^{10} + 245 b^{3} c^{4} x^{11} + 147 b^{2} c^{5} x^{12} + 49 b c^{6} x^{13} + 7 c^{7} x^{14}}"," ",0,"-1/(7*b**7*x**7 + 49*b**6*c*x**8 + 147*b**5*c**2*x**9 + 245*b**4*c**3*x**10 + 245*b**3*c**4*x**11 + 147*b**2*c**5*x**12 + 49*b*c**6*x**13 + 7*c**7*x**14)","B",0
169,1,87,0,1.427604," ","integrate((2*c*x**2+b)/x**7/(c*x**3+b*x)**8,x)","- \frac{1}{14 b^{7} x^{14} + 98 b^{6} c x^{16} + 294 b^{5} c^{2} x^{18} + 490 b^{4} c^{3} x^{20} + 490 b^{3} c^{4} x^{22} + 294 b^{2} c^{5} x^{24} + 98 b c^{6} x^{26} + 14 c^{7} x^{28}}"," ",0,"-1/(14*b**7*x**14 + 98*b**6*c*x**16 + 294*b**5*c**2*x**18 + 490*b**4*c**3*x**20 + 490*b**3*c**4*x**22 + 294*b**2*c**5*x**24 + 98*b*c**6*x**26 + 14*c**7*x**28)","B",0
170,1,87,0,2.060888," ","integrate((2*c*x**3+b)/x**14/(c*x**4+b*x)**8,x)","- \frac{1}{21 b^{7} x^{21} + 147 b^{6} c x^{24} + 441 b^{5} c^{2} x^{27} + 735 b^{4} c^{3} x^{30} + 735 b^{3} c^{4} x^{33} + 441 b^{2} c^{5} x^{36} + 147 b c^{6} x^{39} + 21 c^{7} x^{42}}"," ",0,"-1/(21*b**7*x**21 + 147*b**6*c*x**24 + 441*b**5*c**2*x**27 + 735*b**4*c**3*x**30 + 735*b**3*c**4*x**33 + 441*b**2*c**5*x**36 + 147*b*c**6*x**39 + 21*c**7*x**42)","B",0
171,-1,0,0,0.000000," ","integrate((b+2*c*x**n)/(x**(-7+7*n))/(b*x+c*x**(1+n))**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,1,46,0,0.709761," ","integrate((2*c*x+b)*(c*x**2+b*x)**p,x)","\begin{cases} \frac{b x \left(b x + c x^{2}\right)^{p}}{p + 1} + \frac{c x^{2} \left(b x + c x^{2}\right)^{p}}{p + 1} & \text{for}\: p \neq -1 \\\log{\left(x \right)} + \log{\left(\frac{b}{c} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*x*(b*x + c*x**2)**p/(p + 1) + c*x**2*(b*x + c*x**2)**p/(p + 1), Ne(p, -1)), (log(x) + log(b/c + x), True))","A",0
173,-1,0,0,0.000000," ","integrate(x**(1+p)*(2*c*x**2+b)*(c*x**3+b*x)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-1,0,0,0.000000," ","integrate(b*x**(1+p)*(c*x**3+b*x)**p+2*c*x**(3+p)*(c*x**3+b*x)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
175,-1,0,0,0.000000," ","integrate(x**(2+2*p)*(2*c*x**3+b)*(c*x**4+b*x)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
176,-1,0,0,0.000000," ","integrate(x**((-1+n)*(1+p))*(b+2*c*x**n)*(b*x+c*x**(1+n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
177,1,29,0,0.095065," ","integrate((b**2*d*x**5+b**2*c*x**4+2*a*b*d*x**3+2*a*b*c*x**2+a**2*d*x+a**2*c)/(b*x**2+a),x)","a c x + \frac{a d x^{2}}{2} + \frac{b c x^{3}}{3} + \frac{b d x^{4}}{4}"," ",0,"a*c*x + a*d*x**2/2 + b*c*x**3/3 + b*d*x**4/4","A",0
178,1,8,0,0.094538," ","integrate((b**2*d*x**5+b**2*c*x**4+2*a*b*d*x**3+2*a*b*c*x**2+a**2*d*x+a**2*c)/(b*x**2+a)**2,x)","c x + \frac{d x^{2}}{2}"," ",0,"c*x + d*x**2/2","A",0
179,1,124,0,0.296744," ","integrate((b**2*d*x**5+b**2*c*x**4+2*a*b*d*x**3+2*a*b*c*x**2+a**2*d*x+a**2*c)/(b*x**2+a)**3,x)","\left(\frac{d}{2 b} - \frac{c \sqrt{- a b^{3}}}{2 a b^{2}}\right) \log{\left(x + \frac{2 a b \left(\frac{d}{2 b} - \frac{c \sqrt{- a b^{3}}}{2 a b^{2}}\right) - a d}{b c} \right)} + \left(\frac{d}{2 b} + \frac{c \sqrt{- a b^{3}}}{2 a b^{2}}\right) \log{\left(x + \frac{2 a b \left(\frac{d}{2 b} + \frac{c \sqrt{- a b^{3}}}{2 a b^{2}}\right) - a d}{b c} \right)}"," ",0,"(d/(2*b) - c*sqrt(-a*b**3)/(2*a*b**2))*log(x + (2*a*b*(d/(2*b) - c*sqrt(-a*b**3)/(2*a*b**2)) - a*d)/(b*c)) + (d/(2*b) + c*sqrt(-a*b**3)/(2*a*b**2))*log(x + (2*a*b*(d/(2*b) + c*sqrt(-a*b**3)/(2*a*b**2)) - a*d)/(b*c))","B",0
180,-1,0,0,0.000000," ","integrate((3*d*x**2+2*c*x+b)*(d*x**3+c*x**2+b*x+a)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,-1,0,0,0.000000," ","integrate((3*d*x**2+2*c*x+b)*(d*x**3+c*x**2+b*x)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
182,-1,0,0,0.000000," ","integrate(x**n*(d*x**2+c*x+b)**n*(3*d*x**2+2*c*x+b),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,-1,0,0,0.000000," ","integrate((3*d*x**2+b)*(d*x**3+b*x+a)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,1,73,0,11.343879," ","integrate((3*d*x**2+b)*(d*x**3+b*x)**n,x)","\begin{cases} \frac{b x \left(b x + d x^{3}\right)^{n}}{n + 1} + \frac{d x^{3} \left(b x + d x^{3}\right)^{n}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left(x \right)} + \log{\left(- i \sqrt{b} \sqrt{\frac{1}{d}} + x \right)} + \log{\left(i \sqrt{b} \sqrt{\frac{1}{d}} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*x*(b*x + d*x**3)**n/(n + 1) + d*x**3*(b*x + d*x**3)**n/(n + 1), Ne(n, -1)), (log(x) + log(-I*sqrt(b)*sqrt(1/d) + x) + log(I*sqrt(b)*sqrt(1/d) + x), True))","B",0
185,1,76,0,52.837808," ","integrate(x**n*(d*x**2+b)**n*(3*d*x**2+b),x)","\begin{cases} \frac{b x x^{n} \left(b + d x^{2}\right)^{n}}{n + 1} + \frac{d x^{3} x^{n} \left(b + d x^{2}\right)^{n}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left(x \right)} + \log{\left(- i \sqrt{b} \sqrt{\frac{1}{d}} + x \right)} + \log{\left(i \sqrt{b} \sqrt{\frac{1}{d}} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*x*x**n*(b + d*x**2)**n/(n + 1) + d*x**3*x**n*(b + d*x**2)**n/(n + 1), Ne(n, -1)), (log(x) + log(-I*sqrt(b)*sqrt(1/d) + x) + log(I*sqrt(b)*sqrt(1/d) + x), True))","B",0
186,-1,0,0,0.000000," ","integrate((3*d*x**2+2*c*x)*(d*x**3+c*x**2+a)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
187,1,53,0,1.159868," ","integrate((3*d*x**2+2*c*x)*(d*x**3+c*x**2)**n,x)","\begin{cases} \frac{c x^{2} \left(c x^{2} + d x^{3}\right)^{n}}{n + 1} + \frac{d x^{3} \left(c x^{2} + d x^{3}\right)^{n}}{n + 1} & \text{for}\: n \neq -1 \\2 \log{\left(x \right)} + \log{\left(\frac{c}{d} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c*x**2*(c*x**2 + d*x**3)**n/(n + 1) + d*x**3*(c*x**2 + d*x**3)**n/(n + 1), Ne(n, -1)), (2*log(x) + log(c/d + x), True))","A",0
188,1,56,0,6.170286," ","integrate(x**n*(d*x**2+c*x)**n*(3*d*x**2+2*c*x),x)","\begin{cases} \frac{c x^{2} x^{n} \left(c x + d x^{2}\right)^{n}}{n + 1} + \frac{d x^{3} x^{n} \left(c x + d x^{2}\right)^{n}}{n + 1} & \text{for}\: n \neq -1 \\2 \log{\left(x \right)} + \log{\left(\frac{c}{d} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c*x**2*x**n*(c*x + d*x**2)**n/(n + 1) + d*x**3*x**n*(c*x + d*x**2)**n/(n + 1), Ne(n, -1)), (2*log(x) + log(c/d + x), True))","A",0
189,1,53,0,6.153630," ","integrate(x**(2*n)*(d*x+c)**n*(3*d*x**2+2*c*x),x)","\begin{cases} \frac{c x^{2} x^{2 n} \left(c + d x\right)^{n}}{n + 1} + \frac{d x^{3} x^{2 n} \left(c + d x\right)^{n}}{n + 1} & \text{for}\: n \neq -1 \\2 \log{\left(x \right)} + \log{\left(\frac{c}{d} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c*x**2*x**(2*n)*(c + d*x)**n/(n + 1) + d*x**3*x**(2*n)*(c + d*x)**n/(n + 1), Ne(n, -1)), (2*log(x) + log(c/d + x), True))","A",0
190,-1,0,0,0.000000," ","integrate(x*(3*d*x+2*c)*(d*x**3+c*x**2+a)**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
191,1,53,0,1.141879," ","integrate(x*(3*d*x+2*c)*(d*x**3+c*x**2)**n,x)","\begin{cases} \frac{c x^{2} \left(c x^{2} + d x^{3}\right)^{n}}{n + 1} + \frac{d x^{3} \left(c x^{2} + d x^{3}\right)^{n}}{n + 1} & \text{for}\: n \neq -1 \\2 \log{\left(x \right)} + \log{\left(\frac{c}{d} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c*x**2*(c*x**2 + d*x**3)**n/(n + 1) + d*x**3*(c*x**2 + d*x**3)**n/(n + 1), Ne(n, -1)), (2*log(x) + log(c/d + x), True))","A",0
192,1,1771,0,0.420228," ","integrate((3*d*x**2+2*c*x+b)*(d*x**3+c*x**2+b*x+a)**7,x)","a^{7} b x + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8} + x^{22} \left(b d^{7} + \frac{7 c^{2} d^{6}}{2}\right) + x^{21} \left(a d^{7} + 7 b c d^{6} + 7 c^{3} d^{5}\right) + x^{20} \left(7 a c d^{6} + \frac{7 b^{2} d^{6}}{2} + 21 b c^{2} d^{5} + \frac{35 c^{4} d^{4}}{4}\right) + x^{19} \left(7 a b d^{6} + 21 a c^{2} d^{5} + 21 b^{2} c d^{5} + 35 b c^{3} d^{4} + 7 c^{5} d^{3}\right) + x^{18} \left(\frac{7 a^{2} d^{6}}{2} + 42 a b c d^{5} + 35 a c^{3} d^{4} + 7 b^{3} d^{5} + \frac{105 b^{2} c^{2} d^{4}}{2} + 35 b c^{4} d^{3} + \frac{7 c^{6} d^{2}}{2}\right) + x^{17} \left(21 a^{2} c d^{5} + 21 a b^{2} d^{5} + 105 a b c^{2} d^{4} + 35 a c^{4} d^{3} + 35 b^{3} c d^{4} + 70 b^{2} c^{3} d^{3} + 21 b c^{5} d^{2} + c^{7} d\right) + x^{16} \left(21 a^{2} b d^{5} + \frac{105 a^{2} c^{2} d^{4}}{2} + 105 a b^{2} c d^{4} + 140 a b c^{3} d^{3} + 21 a c^{5} d^{2} + \frac{35 b^{4} d^{4}}{4} + 70 b^{3} c^{2} d^{3} + \frac{105 b^{2} c^{4} d^{2}}{2} + 7 b c^{6} d + \frac{c^{8}}{8}\right) + x^{15} \left(7 a^{3} d^{5} + 105 a^{2} b c d^{4} + 70 a^{2} c^{3} d^{3} + 35 a b^{3} d^{4} + 210 a b^{2} c^{2} d^{3} + 105 a b c^{4} d^{2} + 7 a c^{6} d + 35 b^{4} c d^{3} + 70 b^{3} c^{3} d^{2} + 21 b^{2} c^{5} d + b c^{7}\right) + x^{14} \left(35 a^{3} c d^{4} + \frac{105 a^{2} b^{2} d^{4}}{2} + 210 a^{2} b c^{2} d^{3} + \frac{105 a^{2} c^{4} d^{2}}{2} + 140 a b^{3} c d^{3} + 210 a b^{2} c^{3} d^{2} + 42 a b c^{5} d + a c^{7} + 7 b^{5} d^{3} + \frac{105 b^{4} c^{2} d^{2}}{2} + 35 b^{3} c^{4} d + \frac{7 b^{2} c^{6}}{2}\right) + x^{13} \left(35 a^{3} b d^{4} + 70 a^{3} c^{2} d^{3} + 210 a^{2} b^{2} c d^{3} + 210 a^{2} b c^{3} d^{2} + 21 a^{2} c^{5} d + 35 a b^{4} d^{3} + 210 a b^{3} c^{2} d^{2} + 105 a b^{2} c^{4} d + 7 a b c^{6} + 21 b^{5} c d^{2} + 35 b^{4} c^{3} d + 7 b^{3} c^{5}\right) + x^{12} \left(\frac{35 a^{4} d^{4}}{4} + 140 a^{3} b c d^{3} + 70 a^{3} c^{3} d^{2} + 70 a^{2} b^{3} d^{3} + 315 a^{2} b^{2} c^{2} d^{2} + 105 a^{2} b c^{4} d + \frac{7 a^{2} c^{6}}{2} + 105 a b^{4} c d^{2} + 140 a b^{3} c^{3} d + 21 a b^{2} c^{5} + \frac{7 b^{6} d^{2}}{2} + 21 b^{5} c^{2} d + \frac{35 b^{4} c^{4}}{4}\right) + x^{11} \left(35 a^{4} c d^{3} + 70 a^{3} b^{2} d^{3} + 210 a^{3} b c^{2} d^{2} + 35 a^{3} c^{4} d + 210 a^{2} b^{3} c d^{2} + 210 a^{2} b^{2} c^{3} d + 21 a^{2} b c^{5} + 21 a b^{5} d^{2} + 105 a b^{4} c^{2} d + 35 a b^{3} c^{4} + 7 b^{6} c d + 7 b^{5} c^{3}\right) + x^{10} \left(35 a^{4} b d^{3} + \frac{105 a^{4} c^{2} d^{2}}{2} + 210 a^{3} b^{2} c d^{2} + 140 a^{3} b c^{3} d + 7 a^{3} c^{5} + \frac{105 a^{2} b^{4} d^{2}}{2} + 210 a^{2} b^{3} c^{2} d + \frac{105 a^{2} b^{2} c^{4}}{2} + 42 a b^{5} c d + 35 a b^{4} c^{3} + b^{7} d + \frac{7 b^{6} c^{2}}{2}\right) + x^{9} \left(7 a^{5} d^{3} + 105 a^{4} b c d^{2} + 35 a^{4} c^{3} d + 70 a^{3} b^{3} d^{2} + 210 a^{3} b^{2} c^{2} d + 35 a^{3} b c^{4} + 105 a^{2} b^{4} c d + 70 a^{2} b^{3} c^{3} + 7 a b^{6} d + 21 a b^{5} c^{2} + b^{7} c\right) + x^{8} \left(21 a^{5} c d^{2} + \frac{105 a^{4} b^{2} d^{2}}{2} + 105 a^{4} b c^{2} d + \frac{35 a^{4} c^{4}}{4} + 140 a^{3} b^{3} c d + 70 a^{3} b^{2} c^{3} + 21 a^{2} b^{5} d + \frac{105 a^{2} b^{4} c^{2}}{2} + 7 a b^{6} c + \frac{b^{8}}{8}\right) + x^{7} \left(21 a^{5} b d^{2} + 21 a^{5} c^{2} d + 105 a^{4} b^{2} c d + 35 a^{4} b c^{3} + 35 a^{3} b^{4} d + 70 a^{3} b^{3} c^{2} + 21 a^{2} b^{5} c + a b^{7}\right) + x^{6} \left(\frac{7 a^{6} d^{2}}{2} + 42 a^{5} b c d + 7 a^{5} c^{3} + 35 a^{4} b^{3} d + \frac{105 a^{4} b^{2} c^{2}}{2} + 35 a^{3} b^{4} c + \frac{7 a^{2} b^{6}}{2}\right) + x^{5} \left(7 a^{6} c d + 21 a^{5} b^{2} d + 21 a^{5} b c^{2} + 35 a^{4} b^{3} c + 7 a^{3} b^{5}\right) + x^{4} \left(7 a^{6} b d + \frac{7 a^{6} c^{2}}{2} + 21 a^{5} b^{2} c + \frac{35 a^{4} b^{4}}{4}\right) + x^{3} \left(a^{7} d + 7 a^{6} b c + 7 a^{5} b^{3}\right) + x^{2} \left(a^{7} c + \frac{7 a^{6} b^{2}}{2}\right)"," ",0,"a**7*b*x + c*d**7*x**23 + d**8*x**24/8 + x**22*(b*d**7 + 7*c**2*d**6/2) + x**21*(a*d**7 + 7*b*c*d**6 + 7*c**3*d**5) + x**20*(7*a*c*d**6 + 7*b**2*d**6/2 + 21*b*c**2*d**5 + 35*c**4*d**4/4) + x**19*(7*a*b*d**6 + 21*a*c**2*d**5 + 21*b**2*c*d**5 + 35*b*c**3*d**4 + 7*c**5*d**3) + x**18*(7*a**2*d**6/2 + 42*a*b*c*d**5 + 35*a*c**3*d**4 + 7*b**3*d**5 + 105*b**2*c**2*d**4/2 + 35*b*c**4*d**3 + 7*c**6*d**2/2) + x**17*(21*a**2*c*d**5 + 21*a*b**2*d**5 + 105*a*b*c**2*d**4 + 35*a*c**4*d**3 + 35*b**3*c*d**4 + 70*b**2*c**3*d**3 + 21*b*c**5*d**2 + c**7*d) + x**16*(21*a**2*b*d**5 + 105*a**2*c**2*d**4/2 + 105*a*b**2*c*d**4 + 140*a*b*c**3*d**3 + 21*a*c**5*d**2 + 35*b**4*d**4/4 + 70*b**3*c**2*d**3 + 105*b**2*c**4*d**2/2 + 7*b*c**6*d + c**8/8) + x**15*(7*a**3*d**5 + 105*a**2*b*c*d**4 + 70*a**2*c**3*d**3 + 35*a*b**3*d**4 + 210*a*b**2*c**2*d**3 + 105*a*b*c**4*d**2 + 7*a*c**6*d + 35*b**4*c*d**3 + 70*b**3*c**3*d**2 + 21*b**2*c**5*d + b*c**7) + x**14*(35*a**3*c*d**4 + 105*a**2*b**2*d**4/2 + 210*a**2*b*c**2*d**3 + 105*a**2*c**4*d**2/2 + 140*a*b**3*c*d**3 + 210*a*b**2*c**3*d**2 + 42*a*b*c**5*d + a*c**7 + 7*b**5*d**3 + 105*b**4*c**2*d**2/2 + 35*b**3*c**4*d + 7*b**2*c**6/2) + x**13*(35*a**3*b*d**4 + 70*a**3*c**2*d**3 + 210*a**2*b**2*c*d**3 + 210*a**2*b*c**3*d**2 + 21*a**2*c**5*d + 35*a*b**4*d**3 + 210*a*b**3*c**2*d**2 + 105*a*b**2*c**4*d + 7*a*b*c**6 + 21*b**5*c*d**2 + 35*b**4*c**3*d + 7*b**3*c**5) + x**12*(35*a**4*d**4/4 + 140*a**3*b*c*d**3 + 70*a**3*c**3*d**2 + 70*a**2*b**3*d**3 + 315*a**2*b**2*c**2*d**2 + 105*a**2*b*c**4*d + 7*a**2*c**6/2 + 105*a*b**4*c*d**2 + 140*a*b**3*c**3*d + 21*a*b**2*c**5 + 7*b**6*d**2/2 + 21*b**5*c**2*d + 35*b**4*c**4/4) + x**11*(35*a**4*c*d**3 + 70*a**3*b**2*d**3 + 210*a**3*b*c**2*d**2 + 35*a**3*c**4*d + 210*a**2*b**3*c*d**2 + 210*a**2*b**2*c**3*d + 21*a**2*b*c**5 + 21*a*b**5*d**2 + 105*a*b**4*c**2*d + 35*a*b**3*c**4 + 7*b**6*c*d + 7*b**5*c**3) + x**10*(35*a**4*b*d**3 + 105*a**4*c**2*d**2/2 + 210*a**3*b**2*c*d**2 + 140*a**3*b*c**3*d + 7*a**3*c**5 + 105*a**2*b**4*d**2/2 + 210*a**2*b**3*c**2*d + 105*a**2*b**2*c**4/2 + 42*a*b**5*c*d + 35*a*b**4*c**3 + b**7*d + 7*b**6*c**2/2) + x**9*(7*a**5*d**3 + 105*a**4*b*c*d**2 + 35*a**4*c**3*d + 70*a**3*b**3*d**2 + 210*a**3*b**2*c**2*d + 35*a**3*b*c**4 + 105*a**2*b**4*c*d + 70*a**2*b**3*c**3 + 7*a*b**6*d + 21*a*b**5*c**2 + b**7*c) + x**8*(21*a**5*c*d**2 + 105*a**4*b**2*d**2/2 + 105*a**4*b*c**2*d + 35*a**4*c**4/4 + 140*a**3*b**3*c*d + 70*a**3*b**2*c**3 + 21*a**2*b**5*d + 105*a**2*b**4*c**2/2 + 7*a*b**6*c + b**8/8) + x**7*(21*a**5*b*d**2 + 21*a**5*c**2*d + 105*a**4*b**2*c*d + 35*a**4*b*c**3 + 35*a**3*b**4*d + 70*a**3*b**3*c**2 + 21*a**2*b**5*c + a*b**7) + x**6*(7*a**6*d**2/2 + 42*a**5*b*c*d + 7*a**5*c**3 + 35*a**4*b**3*d + 105*a**4*b**2*c**2/2 + 35*a**3*b**4*c + 7*a**2*b**6/2) + x**5*(7*a**6*c*d + 21*a**5*b**2*d + 21*a**5*b*c**2 + 35*a**4*b**3*c + 7*a**3*b**5) + x**4*(7*a**6*b*d + 7*a**6*c**2/2 + 21*a**5*b**2*c + 35*a**4*b**4/4) + x**3*(a**7*d + 7*a**6*b*c + 7*a**5*b**3) + x**2*(a**7*c + 7*a**6*b**2/2)","B",0
193,1,469,0,0.182317," ","integrate((3*d*x**2+2*c*x+b)*(d*x**3+c*x**2+b*x)**7,x)","\frac{b^{8} x^{8}}{8} + b^{7} c x^{9} + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8} + x^{22} \left(b d^{7} + \frac{7 c^{2} d^{6}}{2}\right) + x^{21} \left(7 b c d^{6} + 7 c^{3} d^{5}\right) + x^{20} \left(\frac{7 b^{2} d^{6}}{2} + 21 b c^{2} d^{5} + \frac{35 c^{4} d^{4}}{4}\right) + x^{19} \left(21 b^{2} c d^{5} + 35 b c^{3} d^{4} + 7 c^{5} d^{3}\right) + x^{18} \left(7 b^{3} d^{5} + \frac{105 b^{2} c^{2} d^{4}}{2} + 35 b c^{4} d^{3} + \frac{7 c^{6} d^{2}}{2}\right) + x^{17} \left(35 b^{3} c d^{4} + 70 b^{2} c^{3} d^{3} + 21 b c^{5} d^{2} + c^{7} d\right) + x^{16} \left(\frac{35 b^{4} d^{4}}{4} + 70 b^{3} c^{2} d^{3} + \frac{105 b^{2} c^{4} d^{2}}{2} + 7 b c^{6} d + \frac{c^{8}}{8}\right) + x^{15} \left(35 b^{4} c d^{3} + 70 b^{3} c^{3} d^{2} + 21 b^{2} c^{5} d + b c^{7}\right) + x^{14} \left(7 b^{5} d^{3} + \frac{105 b^{4} c^{2} d^{2}}{2} + 35 b^{3} c^{4} d + \frac{7 b^{2} c^{6}}{2}\right) + x^{13} \left(21 b^{5} c d^{2} + 35 b^{4} c^{3} d + 7 b^{3} c^{5}\right) + x^{12} \left(\frac{7 b^{6} d^{2}}{2} + 21 b^{5} c^{2} d + \frac{35 b^{4} c^{4}}{4}\right) + x^{11} \left(7 b^{6} c d + 7 b^{5} c^{3}\right) + x^{10} \left(b^{7} d + \frac{7 b^{6} c^{2}}{2}\right)"," ",0,"b**8*x**8/8 + b**7*c*x**9 + c*d**7*x**23 + d**8*x**24/8 + x**22*(b*d**7 + 7*c**2*d**6/2) + x**21*(7*b*c*d**6 + 7*c**3*d**5) + x**20*(7*b**2*d**6/2 + 21*b*c**2*d**5 + 35*c**4*d**4/4) + x**19*(21*b**2*c*d**5 + 35*b*c**3*d**4 + 7*c**5*d**3) + x**18*(7*b**3*d**5 + 105*b**2*c**2*d**4/2 + 35*b*c**4*d**3 + 7*c**6*d**2/2) + x**17*(35*b**3*c*d**4 + 70*b**2*c**3*d**3 + 21*b*c**5*d**2 + c**7*d) + x**16*(35*b**4*d**4/4 + 70*b**3*c**2*d**3 + 105*b**2*c**4*d**2/2 + 7*b*c**6*d + c**8/8) + x**15*(35*b**4*c*d**3 + 70*b**3*c**3*d**2 + 21*b**2*c**5*d + b*c**7) + x**14*(7*b**5*d**3 + 105*b**4*c**2*d**2/2 + 35*b**3*c**4*d + 7*b**2*c**6/2) + x**13*(21*b**5*c*d**2 + 35*b**4*c**3*d + 7*b**3*c**5) + x**12*(7*b**6*d**2/2 + 21*b**5*c**2*d + 35*b**4*c**4/4) + x**11*(7*b**6*c*d + 7*b**5*c**3) + x**10*(b**7*d + 7*b**6*c**2/2)","B",0
194,1,469,0,0.169774," ","integrate(x**7*(d*x**2+c*x+b)**7*(3*d*x**2+2*c*x+b),x)","\frac{b^{8} x^{8}}{8} + b^{7} c x^{9} + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8} + x^{22} \left(b d^{7} + \frac{7 c^{2} d^{6}}{2}\right) + x^{21} \left(7 b c d^{6} + 7 c^{3} d^{5}\right) + x^{20} \left(\frac{7 b^{2} d^{6}}{2} + 21 b c^{2} d^{5} + \frac{35 c^{4} d^{4}}{4}\right) + x^{19} \left(21 b^{2} c d^{5} + 35 b c^{3} d^{4} + 7 c^{5} d^{3}\right) + x^{18} \left(7 b^{3} d^{5} + \frac{105 b^{2} c^{2} d^{4}}{2} + 35 b c^{4} d^{3} + \frac{7 c^{6} d^{2}}{2}\right) + x^{17} \left(35 b^{3} c d^{4} + 70 b^{2} c^{3} d^{3} + 21 b c^{5} d^{2} + c^{7} d\right) + x^{16} \left(\frac{35 b^{4} d^{4}}{4} + 70 b^{3} c^{2} d^{3} + \frac{105 b^{2} c^{4} d^{2}}{2} + 7 b c^{6} d + \frac{c^{8}}{8}\right) + x^{15} \left(35 b^{4} c d^{3} + 70 b^{3} c^{3} d^{2} + 21 b^{2} c^{5} d + b c^{7}\right) + x^{14} \left(7 b^{5} d^{3} + \frac{105 b^{4} c^{2} d^{2}}{2} + 35 b^{3} c^{4} d + \frac{7 b^{2} c^{6}}{2}\right) + x^{13} \left(21 b^{5} c d^{2} + 35 b^{4} c^{3} d + 7 b^{3} c^{5}\right) + x^{12} \left(\frac{7 b^{6} d^{2}}{2} + 21 b^{5} c^{2} d + \frac{35 b^{4} c^{4}}{4}\right) + x^{11} \left(7 b^{6} c d + 7 b^{5} c^{3}\right) + x^{10} \left(b^{7} d + \frac{7 b^{6} c^{2}}{2}\right)"," ",0,"b**8*x**8/8 + b**7*c*x**9 + c*d**7*x**23 + d**8*x**24/8 + x**22*(b*d**7 + 7*c**2*d**6/2) + x**21*(7*b*c*d**6 + 7*c**3*d**5) + x**20*(7*b**2*d**6/2 + 21*b*c**2*d**5 + 35*c**4*d**4/4) + x**19*(21*b**2*c*d**5 + 35*b*c**3*d**4 + 7*c**5*d**3) + x**18*(7*b**3*d**5 + 105*b**2*c**2*d**4/2 + 35*b*c**4*d**3 + 7*c**6*d**2/2) + x**17*(35*b**3*c*d**4 + 70*b**2*c**3*d**3 + 21*b*c**5*d**2 + c**7*d) + x**16*(35*b**4*d**4/4 + 70*b**3*c**2*d**3 + 105*b**2*c**4*d**2/2 + 7*b*c**6*d + c**8/8) + x**15*(35*b**4*c*d**3 + 70*b**3*c**3*d**2 + 21*b**2*c**5*d + b*c**7) + x**14*(7*b**5*d**3 + 105*b**4*c**2*d**2/2 + 35*b**3*c**4*d + 7*b**2*c**6/2) + x**13*(21*b**5*c*d**2 + 35*b**4*c**3*d + 7*b**3*c**5) + x**12*(7*b**6*d**2/2 + 21*b**5*c**2*d + 35*b**4*c**4/4) + x**11*(7*b**6*c*d + 7*b**5*c**3) + x**10*(b**7*d + 7*b**6*c**2/2)","B",0
195,1,483,0,0.169886," ","integrate((3*d*x**2+b)*(d*x**3+b*x+a)**7,x)","a^{7} b x + \frac{7 a^{6} b^{2} x^{2}}{2} + 21 a b^{2} d^{5} x^{17} + 7 a b d^{6} x^{19} + a d^{7} x^{21} + \frac{7 b^{2} d^{6} x^{20}}{2} + b d^{7} x^{22} + \frac{d^{8} x^{24}}{8} + x^{18} \left(\frac{7 a^{2} d^{6}}{2} + 7 b^{3} d^{5}\right) + x^{16} \left(21 a^{2} b d^{5} + \frac{35 b^{4} d^{4}}{4}\right) + x^{15} \left(7 a^{3} d^{5} + 35 a b^{3} d^{4}\right) + x^{14} \left(\frac{105 a^{2} b^{2} d^{4}}{2} + 7 b^{5} d^{3}\right) + x^{13} \left(35 a^{3} b d^{4} + 35 a b^{4} d^{3}\right) + x^{12} \left(\frac{35 a^{4} d^{4}}{4} + 70 a^{2} b^{3} d^{3} + \frac{7 b^{6} d^{2}}{2}\right) + x^{11} \left(70 a^{3} b^{2} d^{3} + 21 a b^{5} d^{2}\right) + x^{10} \left(35 a^{4} b d^{3} + \frac{105 a^{2} b^{4} d^{2}}{2} + b^{7} d\right) + x^{9} \left(7 a^{5} d^{3} + 70 a^{3} b^{3} d^{2} + 7 a b^{6} d\right) + x^{8} \left(\frac{105 a^{4} b^{2} d^{2}}{2} + 21 a^{2} b^{5} d + \frac{b^{8}}{8}\right) + x^{7} \left(21 a^{5} b d^{2} + 35 a^{3} b^{4} d + a b^{7}\right) + x^{6} \left(\frac{7 a^{6} d^{2}}{2} + 35 a^{4} b^{3} d + \frac{7 a^{2} b^{6}}{2}\right) + x^{5} \left(21 a^{5} b^{2} d + 7 a^{3} b^{5}\right) + x^{4} \left(7 a^{6} b d + \frac{35 a^{4} b^{4}}{4}\right) + x^{3} \left(a^{7} d + 7 a^{5} b^{3}\right)"," ",0,"a**7*b*x + 7*a**6*b**2*x**2/2 + 21*a*b**2*d**5*x**17 + 7*a*b*d**6*x**19 + a*d**7*x**21 + 7*b**2*d**6*x**20/2 + b*d**7*x**22 + d**8*x**24/8 + x**18*(7*a**2*d**6/2 + 7*b**3*d**5) + x**16*(21*a**2*b*d**5 + 35*b**4*d**4/4) + x**15*(7*a**3*d**5 + 35*a*b**3*d**4) + x**14*(105*a**2*b**2*d**4/2 + 7*b**5*d**3) + x**13*(35*a**3*b*d**4 + 35*a*b**4*d**3) + x**12*(35*a**4*d**4/4 + 70*a**2*b**3*d**3 + 7*b**6*d**2/2) + x**11*(70*a**3*b**2*d**3 + 21*a*b**5*d**2) + x**10*(35*a**4*b*d**3 + 105*a**2*b**4*d**2/2 + b**7*d) + x**9*(7*a**5*d**3 + 70*a**3*b**3*d**2 + 7*a*b**6*d) + x**8*(105*a**4*b**2*d**2/2 + 21*a**2*b**5*d + b**8/8) + x**7*(21*a**5*b*d**2 + 35*a**3*b**4*d + a*b**7) + x**6*(7*a**6*d**2/2 + 35*a**4*b**3*d + 7*a**2*b**6/2) + x**5*(21*a**5*b**2*d + 7*a**3*b**5) + x**4*(7*a**6*b*d + 35*a**4*b**4/4) + x**3*(a**7*d + 7*a**5*b**3)","B",0
196,1,97,0,0.095948," ","integrate((3*d*x**2+b)*(d*x**3+b*x)**7,x)","\frac{b^{8} x^{8}}{8} + b^{7} d x^{10} + \frac{7 b^{6} d^{2} x^{12}}{2} + 7 b^{5} d^{3} x^{14} + \frac{35 b^{4} d^{4} x^{16}}{4} + 7 b^{3} d^{5} x^{18} + \frac{7 b^{2} d^{6} x^{20}}{2} + b d^{7} x^{22} + \frac{d^{8} x^{24}}{8}"," ",0,"b**8*x**8/8 + b**7*d*x**10 + 7*b**6*d**2*x**12/2 + 7*b**5*d**3*x**14 + 35*b**4*d**4*x**16/4 + 7*b**3*d**5*x**18 + 7*b**2*d**6*x**20/2 + b*d**7*x**22 + d**8*x**24/8","B",0
197,1,97,0,0.088233," ","integrate(x**7*(d*x**2+b)**7*(3*d*x**2+b),x)","\frac{b^{8} x^{8}}{8} + b^{7} d x^{10} + \frac{7 b^{6} d^{2} x^{12}}{2} + 7 b^{5} d^{3} x^{14} + \frac{35 b^{4} d^{4} x^{16}}{4} + 7 b^{3} d^{5} x^{18} + \frac{7 b^{2} d^{6} x^{20}}{2} + b d^{7} x^{22} + \frac{d^{8} x^{24}}{8}"," ",0,"b**8*x**8/8 + b**7*d*x**10 + 7*b**6*d**2*x**12/2 + 7*b**5*d**3*x**14 + 35*b**4*d**4*x**16/4 + 7*b**3*d**5*x**18 + 7*b**2*d**6*x**20/2 + b*d**7*x**22 + d**8*x**24/8","B",0
198,1,484,0,0.172703," ","integrate((3*d*x**2+2*c*x)*(d*x**3+c*x**2+a)**7,x)","a^{7} c x^{2} + a^{7} d x^{3} + \frac{7 a^{6} c^{2} x^{4}}{2} + 7 a^{6} c d x^{5} + 21 a^{5} c^{2} d x^{7} + \frac{7 c^{2} d^{6} x^{22}}{2} + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8} + x^{21} \left(a d^{7} + 7 c^{3} d^{5}\right) + x^{20} \left(7 a c d^{6} + \frac{35 c^{4} d^{4}}{4}\right) + x^{19} \left(21 a c^{2} d^{5} + 7 c^{5} d^{3}\right) + x^{18} \left(\frac{7 a^{2} d^{6}}{2} + 35 a c^{3} d^{4} + \frac{7 c^{6} d^{2}}{2}\right) + x^{17} \left(21 a^{2} c d^{5} + 35 a c^{4} d^{3} + c^{7} d\right) + x^{16} \left(\frac{105 a^{2} c^{2} d^{4}}{2} + 21 a c^{5} d^{2} + \frac{c^{8}}{8}\right) + x^{15} \left(7 a^{3} d^{5} + 70 a^{2} c^{3} d^{3} + 7 a c^{6} d\right) + x^{14} \left(35 a^{3} c d^{4} + \frac{105 a^{2} c^{4} d^{2}}{2} + a c^{7}\right) + x^{13} \left(70 a^{3} c^{2} d^{3} + 21 a^{2} c^{5} d\right) + x^{12} \left(\frac{35 a^{4} d^{4}}{4} + 70 a^{3} c^{3} d^{2} + \frac{7 a^{2} c^{6}}{2}\right) + x^{11} \left(35 a^{4} c d^{3} + 35 a^{3} c^{4} d\right) + x^{10} \left(\frac{105 a^{4} c^{2} d^{2}}{2} + 7 a^{3} c^{5}\right) + x^{9} \left(7 a^{5} d^{3} + 35 a^{4} c^{3} d\right) + x^{8} \left(21 a^{5} c d^{2} + \frac{35 a^{4} c^{4}}{4}\right) + x^{6} \left(\frac{7 a^{6} d^{2}}{2} + 7 a^{5} c^{3}\right)"," ",0,"a**7*c*x**2 + a**7*d*x**3 + 7*a**6*c**2*x**4/2 + 7*a**6*c*d*x**5 + 21*a**5*c**2*d*x**7 + 7*c**2*d**6*x**22/2 + c*d**7*x**23 + d**8*x**24/8 + x**21*(a*d**7 + 7*c**3*d**5) + x**20*(7*a*c*d**6 + 35*c**4*d**4/4) + x**19*(21*a*c**2*d**5 + 7*c**5*d**3) + x**18*(7*a**2*d**6/2 + 35*a*c**3*d**4 + 7*c**6*d**2/2) + x**17*(21*a**2*c*d**5 + 35*a*c**4*d**3 + c**7*d) + x**16*(105*a**2*c**2*d**4/2 + 21*a*c**5*d**2 + c**8/8) + x**15*(7*a**3*d**5 + 70*a**2*c**3*d**3 + 7*a*c**6*d) + x**14*(35*a**3*c*d**4 + 105*a**2*c**4*d**2/2 + a*c**7) + x**13*(70*a**3*c**2*d**3 + 21*a**2*c**5*d) + x**12*(35*a**4*d**4/4 + 70*a**3*c**3*d**2 + 7*a**2*c**6/2) + x**11*(35*a**4*c*d**3 + 35*a**3*c**4*d) + x**10*(105*a**4*c**2*d**2/2 + 7*a**3*c**5) + x**9*(7*a**5*d**3 + 35*a**4*c**3*d) + x**8*(21*a**5*c*d**2 + 35*a**4*c**4/4) + x**6*(7*a**6*d**2/2 + 7*a**5*c**3)","B",0
199,1,97,0,0.097513," ","integrate((3*d*x**2+2*c*x)*(d*x**3+c*x**2)**7,x)","\frac{c^{8} x^{16}}{8} + c^{7} d x^{17} + \frac{7 c^{6} d^{2} x^{18}}{2} + 7 c^{5} d^{3} x^{19} + \frac{35 c^{4} d^{4} x^{20}}{4} + 7 c^{3} d^{5} x^{21} + \frac{7 c^{2} d^{6} x^{22}}{2} + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8}"," ",0,"c**8*x**16/8 + c**7*d*x**17 + 7*c**6*d**2*x**18/2 + 7*c**5*d**3*x**19 + 35*c**4*d**4*x**20/4 + 7*c**3*d**5*x**21 + 7*c**2*d**6*x**22/2 + c*d**7*x**23 + d**8*x**24/8","B",0
200,1,97,0,0.095130," ","integrate(x**7*(d*x**2+c*x)**7*(3*d*x**2+2*c*x),x)","\frac{c^{8} x^{16}}{8} + c^{7} d x^{17} + \frac{7 c^{6} d^{2} x^{18}}{2} + 7 c^{5} d^{3} x^{19} + \frac{35 c^{4} d^{4} x^{20}}{4} + 7 c^{3} d^{5} x^{21} + \frac{7 c^{2} d^{6} x^{22}}{2} + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8}"," ",0,"c**8*x**16/8 + c**7*d*x**17 + 7*c**6*d**2*x**18/2 + 7*c**5*d**3*x**19 + 35*c**4*d**4*x**20/4 + 7*c**3*d**5*x**21 + 7*c**2*d**6*x**22/2 + c*d**7*x**23 + d**8*x**24/8","B",0
201,1,97,0,0.087639," ","integrate(x**14*(d*x+c)**7*(3*d*x**2+2*c*x),x)","\frac{c^{8} x^{16}}{8} + c^{7} d x^{17} + \frac{7 c^{6} d^{2} x^{18}}{2} + 7 c^{5} d^{3} x^{19} + \frac{35 c^{4} d^{4} x^{20}}{4} + 7 c^{3} d^{5} x^{21} + \frac{7 c^{2} d^{6} x^{22}}{2} + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8}"," ",0,"c**8*x**16/8 + c**7*d*x**17 + 7*c**6*d**2*x**18/2 + 7*c**5*d**3*x**19 + 35*c**4*d**4*x**20/4 + 7*c**3*d**5*x**21 + 7*c**2*d**6*x**22/2 + c*d**7*x**23 + d**8*x**24/8","B",0
202,1,484,0,0.168754," ","integrate(x*(3*d*x+2*c)*(d*x**3+c*x**2+a)**7,x)","a^{7} c x^{2} + a^{7} d x^{3} + \frac{7 a^{6} c^{2} x^{4}}{2} + 7 a^{6} c d x^{5} + 21 a^{5} c^{2} d x^{7} + \frac{7 c^{2} d^{6} x^{22}}{2} + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8} + x^{21} \left(a d^{7} + 7 c^{3} d^{5}\right) + x^{20} \left(7 a c d^{6} + \frac{35 c^{4} d^{4}}{4}\right) + x^{19} \left(21 a c^{2} d^{5} + 7 c^{5} d^{3}\right) + x^{18} \left(\frac{7 a^{2} d^{6}}{2} + 35 a c^{3} d^{4} + \frac{7 c^{6} d^{2}}{2}\right) + x^{17} \left(21 a^{2} c d^{5} + 35 a c^{4} d^{3} + c^{7} d\right) + x^{16} \left(\frac{105 a^{2} c^{2} d^{4}}{2} + 21 a c^{5} d^{2} + \frac{c^{8}}{8}\right) + x^{15} \left(7 a^{3} d^{5} + 70 a^{2} c^{3} d^{3} + 7 a c^{6} d\right) + x^{14} \left(35 a^{3} c d^{4} + \frac{105 a^{2} c^{4} d^{2}}{2} + a c^{7}\right) + x^{13} \left(70 a^{3} c^{2} d^{3} + 21 a^{2} c^{5} d\right) + x^{12} \left(\frac{35 a^{4} d^{4}}{4} + 70 a^{3} c^{3} d^{2} + \frac{7 a^{2} c^{6}}{2}\right) + x^{11} \left(35 a^{4} c d^{3} + 35 a^{3} c^{4} d\right) + x^{10} \left(\frac{105 a^{4} c^{2} d^{2}}{2} + 7 a^{3} c^{5}\right) + x^{9} \left(7 a^{5} d^{3} + 35 a^{4} c^{3} d\right) + x^{8} \left(21 a^{5} c d^{2} + \frac{35 a^{4} c^{4}}{4}\right) + x^{6} \left(\frac{7 a^{6} d^{2}}{2} + 7 a^{5} c^{3}\right)"," ",0,"a**7*c*x**2 + a**7*d*x**3 + 7*a**6*c**2*x**4/2 + 7*a**6*c*d*x**5 + 21*a**5*c**2*d*x**7 + 7*c**2*d**6*x**22/2 + c*d**7*x**23 + d**8*x**24/8 + x**21*(a*d**7 + 7*c**3*d**5) + x**20*(7*a*c*d**6 + 35*c**4*d**4/4) + x**19*(21*a*c**2*d**5 + 7*c**5*d**3) + x**18*(7*a**2*d**6/2 + 35*a*c**3*d**4 + 7*c**6*d**2/2) + x**17*(21*a**2*c*d**5 + 35*a*c**4*d**3 + c**7*d) + x**16*(105*a**2*c**2*d**4/2 + 21*a*c**5*d**2 + c**8/8) + x**15*(7*a**3*d**5 + 70*a**2*c**3*d**3 + 7*a*c**6*d) + x**14*(35*a**3*c*d**4 + 105*a**2*c**4*d**2/2 + a*c**7) + x**13*(70*a**3*c**2*d**3 + 21*a**2*c**5*d) + x**12*(35*a**4*d**4/4 + 70*a**3*c**3*d**2 + 7*a**2*c**6/2) + x**11*(35*a**4*c*d**3 + 35*a**3*c**4*d) + x**10*(105*a**4*c**2*d**2/2 + 7*a**3*c**5) + x**9*(7*a**5*d**3 + 35*a**4*c**3*d) + x**8*(21*a**5*c*d**2 + 35*a**4*c**4/4) + x**6*(7*a**6*d**2/2 + 7*a**5*c**3)","B",0
203,1,97,0,0.093642," ","integrate(x*(3*d*x+2*c)*(d*x**3+c*x**2)**7,x)","\frac{c^{8} x^{16}}{8} + c^{7} d x^{17} + \frac{7 c^{6} d^{2} x^{18}}{2} + 7 c^{5} d^{3} x^{19} + \frac{35 c^{4} d^{4} x^{20}}{4} + 7 c^{3} d^{5} x^{21} + \frac{7 c^{2} d^{6} x^{22}}{2} + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8}"," ",0,"c**8*x**16/8 + c**7*d*x**17 + 7*c**6*d**2*x**18/2 + 7*c**5*d**3*x**19 + 35*c**4*d**4*x**20/4 + 7*c**3*d**5*x**21 + 7*c**2*d**6*x**22/2 + c*d**7*x**23 + d**8*x**24/8","B",0
204,1,97,0,0.095948," ","integrate(x**8*(3*d*x+2*c)*(d*x**2+c*x)**7,x)","\frac{c^{8} x^{16}}{8} + c^{7} d x^{17} + \frac{7 c^{6} d^{2} x^{18}}{2} + 7 c^{5} d^{3} x^{19} + \frac{35 c^{4} d^{4} x^{20}}{4} + 7 c^{3} d^{5} x^{21} + \frac{7 c^{2} d^{6} x^{22}}{2} + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8}"," ",0,"c**8*x**16/8 + c**7*d*x**17 + 7*c**6*d**2*x**18/2 + 7*c**5*d**3*x**19 + 35*c**4*d**4*x**20/4 + 7*c**3*d**5*x**21 + 7*c**2*d**6*x**22/2 + c*d**7*x**23 + d**8*x**24/8","B",0
205,1,97,0,0.087879," ","integrate(x**15*(d*x+c)**7*(3*d*x+2*c),x)","\frac{c^{8} x^{16}}{8} + c^{7} d x^{17} + \frac{7 c^{6} d^{2} x^{18}}{2} + 7 c^{5} d^{3} x^{19} + \frac{35 c^{4} d^{4} x^{20}}{4} + 7 c^{3} d^{5} x^{21} + \frac{7 c^{2} d^{6} x^{22}}{2} + c d^{7} x^{23} + \frac{d^{8} x^{24}}{8}"," ",0,"c**8*x**16/8 + c**7*d*x**17 + 7*c**6*d**2*x**18/2 + 7*c**5*d**3*x**19 + 35*c**4*d**4*x**20/4 + 7*c**3*d**5*x**21 + 7*c**2*d**6*x**22/2 + c*d**7*x**23 + d**8*x**24/8","B",0
206,1,70,0,0.085711," ","integrate((b*x+a)*(1+(a*x+1/2*b*x**2)**4),x)","\frac{a^{5} x^{5}}{5} + \frac{a^{4} b x^{6}}{2} + \frac{a^{3} b^{2} x^{7}}{2} + \frac{a^{2} b^{3} x^{8}}{4} + \frac{a b^{4} x^{9}}{16} + a x + \frac{b^{5} x^{10}}{160} + \frac{b x^{2}}{2}"," ",0,"a**5*x**5/5 + a**4*b*x**6/2 + a**3*b**2*x**7/2 + a**2*b**3*x**8/4 + a*b**4*x**9/16 + a*x + b**5*x**10/160 + b*x**2/2","B",0
207,1,194,0,0.114321," ","integrate((b*x+a)*(1+(c+a*x+1/2*b*x**2)**4),x)","\frac{a b^{4} x^{9}}{16} + \frac{b^{5} x^{10}}{160} + x^{8} \left(\frac{a^{2} b^{3}}{4} + \frac{b^{4} c}{16}\right) + x^{7} \left(\frac{a^{3} b^{2}}{2} + \frac{a b^{3} c}{2}\right) + x^{6} \left(\frac{a^{4} b}{2} + \frac{3 a^{2} b^{2} c}{2} + \frac{b^{3} c^{2}}{4}\right) + x^{5} \left(\frac{a^{5}}{5} + 2 a^{3} b c + \frac{3 a b^{2} c^{2}}{2}\right) + x^{4} \left(a^{4} c + 3 a^{2} b c^{2} + \frac{b^{2} c^{3}}{2}\right) + x^{3} \left(2 a^{3} c^{2} + 2 a b c^{3}\right) + x^{2} \left(2 a^{2} c^{3} + \frac{b c^{4}}{2} + \frac{b}{2}\right) + x \left(a c^{4} + a\right)"," ",0,"a*b**4*x**9/16 + b**5*x**10/160 + x**8*(a**2*b**3/4 + b**4*c/16) + x**7*(a**3*b**2/2 + a*b**3*c/2) + x**6*(a**4*b/2 + 3*a**2*b**2*c/2 + b**3*c**2/4) + x**5*(a**5/5 + 2*a**3*b*c + 3*a*b**2*c**2/2) + x**4*(a**4*c + 3*a**2*b*c**2 + b**2*c**3/2) + x**3*(2*a**3*c**2 + 2*a*b*c**3) + x**2*(2*a**2*c**3 + b*c**4/2 + b/2) + x*(a*c**4 + a)","B",0
208,1,230,0,50.745851," ","integrate((b*x+a)*(1+(a*x+1/2*b*x**2)**n),x)","\begin{cases} a \left(x + \frac{\log{\left(x \right)}}{a}\right) & \text{for}\: b = 0 \wedge n = -1 \\a \left(\frac{a^{n} x x^{n}}{n + 1} + \frac{n x}{n + 1} + \frac{x}{n + 1}\right) & \text{for}\: b = 0 \\a x + \frac{b x^{2}}{2} + \log{\left(x \right)} + \log{\left(\frac{2 a}{b} + x \right)} & \text{for}\: n = -1 \\\frac{2 \cdot 2^{n} a b n x}{2 \cdot 2^{n} b n + 2 \cdot 2^{n} b} + \frac{2 \cdot 2^{n} a b x}{2 \cdot 2^{n} b n + 2 \cdot 2^{n} b} + \frac{2^{n} b^{2} n x^{2}}{2 \cdot 2^{n} b n + 2 \cdot 2^{n} b} + \frac{2^{n} b^{2} x^{2}}{2 \cdot 2^{n} b n + 2 \cdot 2^{n} b} + \frac{2 a b x \left(2 a x + b x^{2}\right)^{n}}{2 \cdot 2^{n} b n + 2 \cdot 2^{n} b} + \frac{b^{2} x^{2} \left(2 a x + b x^{2}\right)^{n}}{2 \cdot 2^{n} b n + 2 \cdot 2^{n} b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*(x + log(x)/a), Eq(b, 0) & Eq(n, -1)), (a*(a**n*x*x**n/(n + 1) + n*x/(n + 1) + x/(n + 1)), Eq(b, 0)), (a*x + b*x**2/2 + log(x) + log(2*a/b + x), Eq(n, -1)), (2*2**n*a*b*n*x/(2*2**n*b*n + 2*2**n*b) + 2*2**n*a*b*x/(2*2**n*b*n + 2*2**n*b) + 2**n*b**2*n*x**2/(2*2**n*b*n + 2*2**n*b) + 2**n*b**2*x**2/(2*2**n*b*n + 2*2**n*b) + 2*a*b*x*(2*a*x + b*x**2)**n/(2*2**n*b*n + 2*2**n*b) + b**2*x**2*(2*a*x + b*x**2)**n/(2*2**n*b*n + 2*2**n*b), True))","A",0
209,-1,0,0,0.000000," ","integrate((b*x+a)*(1+(c+a*x+1/2*b*x**2)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,1,87,0,0.094565," ","integrate((c*x**2+a)*(1+(a*x+1/3*c*x**3)**5),x)","\frac{a^{6} x^{6}}{6} + \frac{a^{5} c x^{8}}{3} + \frac{5 a^{4} c^{2} x^{10}}{18} + \frac{10 a^{3} c^{3} x^{12}}{81} + \frac{5 a^{2} c^{4} x^{14}}{162} + \frac{a c^{5} x^{16}}{243} + a x + \frac{c^{6} x^{18}}{4374} + \frac{c x^{3}}{3}"," ",0,"a**6*x**6/6 + a**5*c*x**8/3 + 5*a**4*c**2*x**10/18 + 10*a**3*c**3*x**12/81 + 5*a**2*c**4*x**14/162 + a*c**5*x**16/243 + a*x + c**6*x**18/4374 + c*x**3/3","B",0
211,1,314,0,0.143430," ","integrate((c*x**2+a)*(1+(d+a*x+1/3*c*x**3)**5),x)","\frac{5 a^{2} c^{4} x^{14}}{162} + \frac{10 a^{2} c^{3} d x^{11}}{27} + \frac{5 a^{2} d^{4} x^{2}}{2} + \frac{a c^{5} x^{16}}{243} + \frac{5 a c^{4} d x^{13}}{81} + \frac{c^{6} x^{18}}{4374} + \frac{c^{5} d x^{15}}{243} + x^{12} \left(\frac{10 a^{3} c^{3}}{81} + \frac{5 c^{4} d^{2}}{162}\right) + x^{10} \left(\frac{5 a^{4} c^{2}}{18} + \frac{10 a c^{3} d^{2}}{27}\right) + x^{9} \left(\frac{10 a^{3} c^{2} d}{9} + \frac{10 c^{3} d^{3}}{81}\right) + x^{8} \left(\frac{a^{5} c}{3} + \frac{5 a^{2} c^{2} d^{2}}{3}\right) + x^{7} \left(\frac{5 a^{4} c d}{3} + \frac{10 a c^{2} d^{3}}{9}\right) + x^{6} \left(\frac{a^{6}}{6} + \frac{10 a^{3} c d^{2}}{3} + \frac{5 c^{2} d^{4}}{18}\right) + x^{5} \left(a^{5} d + \frac{10 a^{2} c d^{3}}{3}\right) + x^{4} \left(\frac{5 a^{4} d^{2}}{2} + \frac{5 a c d^{4}}{3}\right) + x^{3} \left(\frac{10 a^{3} d^{3}}{3} + \frac{c d^{5}}{3} + \frac{c}{3}\right) + x \left(a d^{5} + a\right)"," ",0,"5*a**2*c**4*x**14/162 + 10*a**2*c**3*d*x**11/27 + 5*a**2*d**4*x**2/2 + a*c**5*x**16/243 + 5*a*c**4*d*x**13/81 + c**6*x**18/4374 + c**5*d*x**15/243 + x**12*(10*a**3*c**3/81 + 5*c**4*d**2/162) + x**10*(5*a**4*c**2/18 + 10*a*c**3*d**2/27) + x**9*(10*a**3*c**2*d/9 + 10*c**3*d**3/81) + x**8*(a**5*c/3 + 5*a**2*c**2*d**2/3) + x**7*(5*a**4*c*d/3 + 10*a*c**2*d**3/9) + x**6*(a**6/6 + 10*a**3*c*d**2/3 + 5*c**2*d**4/18) + x**5*(a**5*d + 10*a**2*c*d**3/3) + x**4*(5*a**4*d**2/2 + 5*a*c*d**4/3) + x**3*(10*a**3*d**3/3 + c*d**5/3 + c/3) + x*(a*d**5 + a)","B",0
212,1,90,0,0.098114," ","integrate((c*x**2+b*x)*(1+(1/2*b*x**2+1/3*c*x**3)**5),x)","\frac{b^{6} x^{12}}{384} + \frac{b^{5} c x^{13}}{96} + \frac{5 b^{4} c^{2} x^{14}}{288} + \frac{5 b^{3} c^{3} x^{15}}{324} + \frac{5 b^{2} c^{4} x^{16}}{648} + \frac{b c^{5} x^{17}}{486} + \frac{b x^{2}}{2} + \frac{c^{6} x^{18}}{4374} + \frac{c x^{3}}{3}"," ",0,"b**6*x**12/384 + b**5*c*x**13/96 + 5*b**4*c**2*x**14/288 + 5*b**3*c**3*x**15/324 + 5*b**2*c**4*x**16/648 + b*c**5*x**17/486 + b*x**2/2 + c**6*x**18/4374 + c*x**3/3","B",0
213,1,321,0,0.150369," ","integrate((c*x**2+b*x)*(1+(d+1/2*b*x**2+1/3*c*x**3)**5),x)","\frac{5 b^{2} c^{4} x^{16}}{648} + \frac{5 b^{2} c d^{3} x^{7}}{6} + \frac{5 b^{2} d^{4} x^{4}}{8} + \frac{b c^{5} x^{17}}{486} + \frac{5 b c d^{4} x^{5}}{6} + \frac{c^{6} x^{18}}{4374} + x^{15} \left(\frac{5 b^{3} c^{3}}{324} + \frac{c^{5} d}{243}\right) + x^{14} \left(\frac{5 b^{4} c^{2}}{288} + \frac{5 b c^{4} d}{162}\right) + x^{13} \left(\frac{b^{5} c}{96} + \frac{5 b^{2} c^{3} d}{54}\right) + x^{12} \left(\frac{b^{6}}{384} + \frac{5 b^{3} c^{2} d}{36} + \frac{5 c^{4} d^{2}}{162}\right) + x^{11} \left(\frac{5 b^{4} c d}{48} + \frac{5 b c^{3} d^{2}}{27}\right) + x^{10} \left(\frac{b^{5} d}{32} + \frac{5 b^{2} c^{2} d^{2}}{12}\right) + x^{9} \left(\frac{5 b^{3} c d^{2}}{12} + \frac{10 c^{3} d^{3}}{81}\right) + x^{8} \left(\frac{5 b^{4} d^{2}}{32} + \frac{5 b c^{2} d^{3}}{9}\right) + x^{6} \left(\frac{5 b^{3} d^{3}}{12} + \frac{5 c^{2} d^{4}}{18}\right) + x^{3} \left(\frac{c d^{5}}{3} + \frac{c}{3}\right) + x^{2} \left(\frac{b d^{5}}{2} + \frac{b}{2}\right)"," ",0,"5*b**2*c**4*x**16/648 + 5*b**2*c*d**3*x**7/6 + 5*b**2*d**4*x**4/8 + b*c**5*x**17/486 + 5*b*c*d**4*x**5/6 + c**6*x**18/4374 + x**15*(5*b**3*c**3/324 + c**5*d/243) + x**14*(5*b**4*c**2/288 + 5*b*c**4*d/162) + x**13*(b**5*c/96 + 5*b**2*c**3*d/54) + x**12*(b**6/384 + 5*b**3*c**2*d/36 + 5*c**4*d**2/162) + x**11*(5*b**4*c*d/48 + 5*b*c**3*d**2/27) + x**10*(b**5*d/32 + 5*b**2*c**2*d**2/12) + x**9*(5*b**3*c*d**2/12 + 10*c**3*d**3/81) + x**8*(5*b**4*d**2/32 + 5*b*c**2*d**3/9) + x**6*(5*b**3*d**3/12 + 5*c**2*d**4/18) + x**3*(c*d**5/3 + c/3) + x**2*(b*d**5/2 + b/2)","B",0
214,1,323,0,0.156686," ","integrate((c*x**2+b*x+a)*(1+(a*x+1/2*b*x**2+1/3*c*x**3)**5),x)","\frac{a^{6} x^{6}}{6} + \frac{a^{5} b x^{7}}{2} + a x + \frac{b c^{5} x^{17}}{486} + \frac{b x^{2}}{2} + \frac{c^{6} x^{18}}{4374} + \frac{c x^{3}}{3} + x^{16} \left(\frac{a c^{5}}{243} + \frac{5 b^{2} c^{4}}{648}\right) + x^{15} \left(\frac{5 a b c^{4}}{162} + \frac{5 b^{3} c^{3}}{324}\right) + x^{14} \left(\frac{5 a^{2} c^{4}}{162} + \frac{5 a b^{2} c^{3}}{54} + \frac{5 b^{4} c^{2}}{288}\right) + x^{13} \left(\frac{5 a^{2} b c^{3}}{27} + \frac{5 a b^{3} c^{2}}{36} + \frac{b^{5} c}{96}\right) + x^{12} \left(\frac{10 a^{3} c^{3}}{81} + \frac{5 a^{2} b^{2} c^{2}}{12} + \frac{5 a b^{4} c}{48} + \frac{b^{6}}{384}\right) + x^{11} \left(\frac{5 a^{3} b c^{2}}{9} + \frac{5 a^{2} b^{3} c}{12} + \frac{a b^{5}}{32}\right) + x^{10} \left(\frac{5 a^{4} c^{2}}{18} + \frac{5 a^{3} b^{2} c}{6} + \frac{5 a^{2} b^{4}}{32}\right) + x^{9} \left(\frac{5 a^{4} b c}{6} + \frac{5 a^{3} b^{3}}{12}\right) + x^{8} \left(\frac{a^{5} c}{3} + \frac{5 a^{4} b^{2}}{8}\right)"," ",0,"a**6*x**6/6 + a**5*b*x**7/2 + a*x + b*c**5*x**17/486 + b*x**2/2 + c**6*x**18/4374 + c*x**3/3 + x**16*(a*c**5/243 + 5*b**2*c**4/648) + x**15*(5*a*b*c**4/162 + 5*b**3*c**3/324) + x**14*(5*a**2*c**4/162 + 5*a*b**2*c**3/54 + 5*b**4*c**2/288) + x**13*(5*a**2*b*c**3/27 + 5*a*b**3*c**2/36 + b**5*c/96) + x**12*(10*a**3*c**3/81 + 5*a**2*b**2*c**2/12 + 5*a*b**4*c/48 + b**6/384) + x**11*(5*a**3*b*c**2/9 + 5*a**2*b**3*c/12 + a*b**5/32) + x**10*(5*a**4*c**2/18 + 5*a**3*b**2*c/6 + 5*a**2*b**4/32) + x**9*(5*a**4*b*c/6 + 5*a**3*b**3/12) + x**8*(a**5*c/3 + 5*a**4*b**2/8)","B",0
215,1,930,0,0.269324," ","integrate((c*x**2+b*x+a)*(1+(d+a*x+1/2*b*x**2+1/3*c*x**3)**5),x)","\frac{b c^{5} x^{17}}{486} + \frac{c^{6} x^{18}}{4374} + x^{16} \left(\frac{a c^{5}}{243} + \frac{5 b^{2} c^{4}}{648}\right) + x^{15} \left(\frac{5 a b c^{4}}{162} + \frac{5 b^{3} c^{3}}{324} + \frac{c^{5} d}{243}\right) + x^{14} \left(\frac{5 a^{2} c^{4}}{162} + \frac{5 a b^{2} c^{3}}{54} + \frac{5 b^{4} c^{2}}{288} + \frac{5 b c^{4} d}{162}\right) + x^{13} \left(\frac{5 a^{2} b c^{3}}{27} + \frac{5 a b^{3} c^{2}}{36} + \frac{5 a c^{4} d}{81} + \frac{b^{5} c}{96} + \frac{5 b^{2} c^{3} d}{54}\right) + x^{12} \left(\frac{10 a^{3} c^{3}}{81} + \frac{5 a^{2} b^{2} c^{2}}{12} + \frac{5 a b^{4} c}{48} + \frac{10 a b c^{3} d}{27} + \frac{b^{6}}{384} + \frac{5 b^{3} c^{2} d}{36} + \frac{5 c^{4} d^{2}}{162}\right) + x^{11} \left(\frac{5 a^{3} b c^{2}}{9} + \frac{5 a^{2} b^{3} c}{12} + \frac{10 a^{2} c^{3} d}{27} + \frac{a b^{5}}{32} + \frac{5 a b^{2} c^{2} d}{6} + \frac{5 b^{4} c d}{48} + \frac{5 b c^{3} d^{2}}{27}\right) + x^{10} \left(\frac{5 a^{4} c^{2}}{18} + \frac{5 a^{3} b^{2} c}{6} + \frac{5 a^{2} b^{4}}{32} + \frac{5 a^{2} b c^{2} d}{3} + \frac{5 a b^{3} c d}{6} + \frac{10 a c^{3} d^{2}}{27} + \frac{b^{5} d}{32} + \frac{5 b^{2} c^{2} d^{2}}{12}\right) + x^{9} \left(\frac{5 a^{4} b c}{6} + \frac{5 a^{3} b^{3}}{12} + \frac{10 a^{3} c^{2} d}{9} + \frac{5 a^{2} b^{2} c d}{2} + \frac{5 a b^{4} d}{16} + \frac{5 a b c^{2} d^{2}}{3} + \frac{5 b^{3} c d^{2}}{12} + \frac{10 c^{3} d^{3}}{81}\right) + x^{8} \left(\frac{a^{5} c}{3} + \frac{5 a^{4} b^{2}}{8} + \frac{10 a^{3} b c d}{3} + \frac{5 a^{2} b^{3} d}{4} + \frac{5 a^{2} c^{2} d^{2}}{3} + \frac{5 a b^{2} c d^{2}}{2} + \frac{5 b^{4} d^{2}}{32} + \frac{5 b c^{2} d^{3}}{9}\right) + x^{7} \left(\frac{a^{5} b}{2} + \frac{5 a^{4} c d}{3} + \frac{5 a^{3} b^{2} d}{2} + 5 a^{2} b c d^{2} + \frac{5 a b^{3} d^{2}}{4} + \frac{10 a c^{2} d^{3}}{9} + \frac{5 b^{2} c d^{3}}{6}\right) + x^{6} \left(\frac{a^{6}}{6} + \frac{5 a^{4} b d}{2} + \frac{10 a^{3} c d^{2}}{3} + \frac{15 a^{2} b^{2} d^{2}}{4} + \frac{10 a b c d^{3}}{3} + \frac{5 b^{3} d^{3}}{12} + \frac{5 c^{2} d^{4}}{18}\right) + x^{5} \left(a^{5} d + 5 a^{3} b d^{2} + \frac{10 a^{2} c d^{3}}{3} + \frac{5 a b^{2} d^{3}}{2} + \frac{5 b c d^{4}}{6}\right) + x^{4} \left(\frac{5 a^{4} d^{2}}{2} + 5 a^{2} b d^{3} + \frac{5 a c d^{4}}{3} + \frac{5 b^{2} d^{4}}{8}\right) + x^{3} \left(\frac{10 a^{3} d^{3}}{3} + \frac{5 a b d^{4}}{2} + \frac{c d^{5}}{3} + \frac{c}{3}\right) + x^{2} \left(\frac{5 a^{2} d^{4}}{2} + \frac{b d^{5}}{2} + \frac{b}{2}\right) + x \left(a d^{5} + a\right)"," ",0,"b*c**5*x**17/486 + c**6*x**18/4374 + x**16*(a*c**5/243 + 5*b**2*c**4/648) + x**15*(5*a*b*c**4/162 + 5*b**3*c**3/324 + c**5*d/243) + x**14*(5*a**2*c**4/162 + 5*a*b**2*c**3/54 + 5*b**4*c**2/288 + 5*b*c**4*d/162) + x**13*(5*a**2*b*c**3/27 + 5*a*b**3*c**2/36 + 5*a*c**4*d/81 + b**5*c/96 + 5*b**2*c**3*d/54) + x**12*(10*a**3*c**3/81 + 5*a**2*b**2*c**2/12 + 5*a*b**4*c/48 + 10*a*b*c**3*d/27 + b**6/384 + 5*b**3*c**2*d/36 + 5*c**4*d**2/162) + x**11*(5*a**3*b*c**2/9 + 5*a**2*b**3*c/12 + 10*a**2*c**3*d/27 + a*b**5/32 + 5*a*b**2*c**2*d/6 + 5*b**4*c*d/48 + 5*b*c**3*d**2/27) + x**10*(5*a**4*c**2/18 + 5*a**3*b**2*c/6 + 5*a**2*b**4/32 + 5*a**2*b*c**2*d/3 + 5*a*b**3*c*d/6 + 10*a*c**3*d**2/27 + b**5*d/32 + 5*b**2*c**2*d**2/12) + x**9*(5*a**4*b*c/6 + 5*a**3*b**3/12 + 10*a**3*c**2*d/9 + 5*a**2*b**2*c*d/2 + 5*a*b**4*d/16 + 5*a*b*c**2*d**2/3 + 5*b**3*c*d**2/12 + 10*c**3*d**3/81) + x**8*(a**5*c/3 + 5*a**4*b**2/8 + 10*a**3*b*c*d/3 + 5*a**2*b**3*d/4 + 5*a**2*c**2*d**2/3 + 5*a*b**2*c*d**2/2 + 5*b**4*d**2/32 + 5*b*c**2*d**3/9) + x**7*(a**5*b/2 + 5*a**4*c*d/3 + 5*a**3*b**2*d/2 + 5*a**2*b*c*d**2 + 5*a*b**3*d**2/4 + 10*a*c**2*d**3/9 + 5*b**2*c*d**3/6) + x**6*(a**6/6 + 5*a**4*b*d/2 + 10*a**3*c*d**2/3 + 15*a**2*b**2*d**2/4 + 10*a*b*c*d**3/3 + 5*b**3*d**3/12 + 5*c**2*d**4/18) + x**5*(a**5*d + 5*a**3*b*d**2 + 10*a**2*c*d**3/3 + 5*a*b**2*d**3/2 + 5*b*c*d**4/6) + x**4*(5*a**4*d**2/2 + 5*a**2*b*d**3 + 5*a*c*d**4/3 + 5*b**2*d**4/8) + x**3*(10*a**3*d**3/3 + 5*a*b*d**4/2 + c*d**5/3 + c/3) + x**2*(5*a**2*d**4/2 + b*d**5/2 + b/2) + x*(a*d**5 + a)","B",0
216,1,201,0,112.002115," ","integrate((c*x**2+a)*(1+(a*x+1/3*c*x**3)**n),x)","\begin{cases} \frac{3 \cdot 3^{n} a n x}{3 \cdot 3^{n} n + 3 \cdot 3^{n}} + \frac{3 \cdot 3^{n} a x}{3 \cdot 3^{n} n + 3 \cdot 3^{n}} + \frac{3^{n} c n x^{3}}{3 \cdot 3^{n} n + 3 \cdot 3^{n}} + \frac{3^{n} c x^{3}}{3 \cdot 3^{n} n + 3 \cdot 3^{n}} + \frac{3 a x \left(3 a x + c x^{3}\right)^{n}}{3 \cdot 3^{n} n + 3 \cdot 3^{n}} + \frac{c x^{3} \left(3 a x + c x^{3}\right)^{n}}{3 \cdot 3^{n} n + 3 \cdot 3^{n}} & \text{for}\: n \neq -1 \\a x + \frac{c x^{3}}{3} + \log{\left(x \right)} + \log{\left(- \sqrt{3} i \sqrt{a} \sqrt{\frac{1}{c}} + x \right)} + \log{\left(\sqrt{3} i \sqrt{a} \sqrt{\frac{1}{c}} + x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*3**n*a*n*x/(3*3**n*n + 3*3**n) + 3*3**n*a*x/(3*3**n*n + 3*3**n) + 3**n*c*n*x**3/(3*3**n*n + 3*3**n) + 3**n*c*x**3/(3*3**n*n + 3*3**n) + 3*a*x*(3*a*x + c*x**3)**n/(3*3**n*n + 3*3**n) + c*x**3*(3*a*x + c*x**3)**n/(3*3**n*n + 3*3**n), Ne(n, -1)), (a*x + c*x**3/3 + log(x) + log(-sqrt(3)*I*sqrt(a)*sqrt(1/c) + x) + log(sqrt(3)*I*sqrt(a)*sqrt(1/c) + x), True))","B",0
217,-1,0,0,0.000000," ","integrate((c*x**2+b*x)*(1+(1/2*b*x**2+1/3*c*x**3)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
218,-1,0,0,0.000000," ","integrate((c*x**2+b*x+a)*(1+(a*x+1/2*b*x**2+1/3*c*x**3)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
219,1,29,0,0.060833," ","integrate((x**2+4*x-4)*(x**3+6*x**2-12*x+5),x)","\frac{x^{6}}{6} + 2 x^{5} + 2 x^{4} - \frac{67 x^{3}}{3} + 34 x^{2} - 20 x"," ",0,"x**6/6 + 2*x**5 + 2*x**4 - 67*x**3/3 + 34*x**2 - 20*x","A",0
220,1,17,0,0.057448," ","integrate((x**3+2*x)*(x**4+4*x**2+1),x)","\frac{x^{8}}{8} + x^{6} + \frac{9 x^{4}}{4} + x^{2}"," ",0,"x**8/8 + x**6 + 9*x**4/4 + x**2","A",0
221,1,94,0,0.082160," ","integrate((1+2*x)*(x**2+x)**3*(-18+7*(x**2+x)**3)**2,x)","\frac{49 x^{20}}{10} + 49 x^{19} + \frac{441 x^{18}}{2} + 588 x^{17} + 1029 x^{16} + \frac{6174 x^{15}}{5} + 993 x^{14} + 336 x^{13} - \frac{1071 x^{12}}{2} - 1211 x^{11} - \frac{12551 x^{10}}{10} - 756 x^{9} - 171 x^{8} + 288 x^{7} + 486 x^{6} + 324 x^{5} + 81 x^{4}"," ",0,"49*x**20/10 + 49*x**19 + 441*x**18/2 + 588*x**17 + 1029*x**16 + 6174*x**15/5 + 993*x**14 + 336*x**13 - 1071*x**12/2 - 1211*x**11 - 12551*x**10/10 - 756*x**9 - 171*x**8 + 288*x**7 + 486*x**6 + 324*x**5 + 81*x**4","B",0
222,1,94,0,0.091048," ","integrate(x**3*(1+x)**3*(1+2*x)*(-18+7*x**3*(1+x)**3)**2,x)","\frac{49 x^{20}}{10} + 49 x^{19} + \frac{441 x^{18}}{2} + 588 x^{17} + 1029 x^{16} + \frac{6174 x^{15}}{5} + 993 x^{14} + 336 x^{13} - \frac{1071 x^{12}}{2} - 1211 x^{11} - \frac{12551 x^{10}}{10} - 756 x^{9} - 171 x^{8} + 288 x^{7} + 486 x^{6} + 324 x^{5} + 81 x^{4}"," ",0,"49*x**20/10 + 49*x**19 + 441*x**18/2 + 588*x**17 + 1029*x**16 + 6174*x**15/5 + 993*x**14 + 336*x**13 - 1071*x**12/2 - 1211*x**11 - 12551*x**10/10 - 756*x**9 - 171*x**8 + 288*x**7 + 486*x**6 + 324*x**5 + 81*x**4","B",0
223,1,56,0,0.188892," ","integrate((-x**2+2)/(x**3-6*x+1)**5,x)","\frac{1}{12 x^{12} - 288 x^{10} + 48 x^{9} + 2592 x^{8} - 864 x^{7} - 10296 x^{6} + 5184 x^{5} + 14688 x^{4} - 10320 x^{3} + 2592 x^{2} - 288 x + 12}"," ",0,"1/(12*x**12 - 288*x**10 + 48*x**9 + 2592*x**8 - 864*x**7 - 10296*x**6 + 5184*x**5 + 14688*x**4 - 10320*x**3 + 2592*x**2 - 288*x + 12)","B",0
224,1,12,0,0.089071," ","integrate((x**2+2*x)/(x**3+3*x**2+4),x)","\frac{\log{\left(x^{3} + 3 x^{2} + 4 \right)}}{3}"," ",0,"log(x**3 + 3*x**2 + 4)/3","A",0
225,1,14,0,0.098577," ","integrate((x**3+x+1)/(x**4+2*x**2+4*x),x)","\frac{\log{\left(x^{4} + 2 x^{2} + 4 x \right)}}{4}"," ",0,"log(x**4 + 2*x**2 + 4*x)/4","A",0
226,1,22,0,32.563554," ","integrate((-2*b*f*x**3-3*a*f*x**2-b*e*x**2-2*a*e*x-a*d+b*c)/(f*x**3+e*x**2+d*x+c)**2,x)","- \frac{- a - b x}{c + d x + e x^{2} + f x^{3}}"," ",0,"-(-a - b*x)/(c + d*x + e*x**2 + f*x**3)","A",0
227,-1,0,0,0.000000," ","integrate((D*x**3+C*x**2+B*x+A)/(a*x**4+b*x**3+c*x**2+b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
228,1,58,0,0.126177," ","integrate((2*x**3-4*x**2+x+2)/(x**4-x**3+x**2-x+1),x)","\left(\frac{1}{2} + \frac{\sqrt{5}}{2}\right) \log{\left(x^{2} + x \left(- \frac{1}{2} + \frac{\sqrt{5}}{2}\right) + 1 \right)} + \left(\frac{1}{2} - \frac{\sqrt{5}}{2}\right) \log{\left(x^{2} + x \left(- \frac{\sqrt{5}}{2} - \frac{1}{2}\right) + 1 \right)}"," ",0,"(1/2 + sqrt(5)/2)*log(x**2 + x*(-1/2 + sqrt(5)/2) + 1) + (1/2 - sqrt(5)/2)*log(x**2 + x*(-sqrt(5)/2 - 1/2) + 1)","A",0
229,1,20,0,0.095797," ","integrate((x**3+3*x**2+3*x)/(x**4+4*x**3+6*x**2+4*x+1),x)","\log{\left(x + 1 \right)} + \frac{1}{3 x^{3} + 9 x^{2} + 9 x + 3}"," ",0,"log(x + 1) + 1/(3*x**3 + 9*x**2 + 9*x + 3)","A",0
230,1,29,0,0.109121," ","integrate((x**3-3*x**2+3*x-1)/(x**4+4*x**3+6*x**2+4*x+1),x)","\frac{18 x^{2} + 18 x + 8}{3 x^{3} + 9 x^{2} + 9 x + 3} + \log{\left(x + 1 \right)}"," ",0,"(18*x**2 + 18*x + 8)/(3*x**3 + 9*x**2 + 9*x + 3) + log(x + 1)","A",0
231,1,36,0,0.180948," ","integrate((-39*x**8+26*x**6+24*x**5+174*x**4-18*x**2-40*x+9)/(x**4+2*x**2+3)**3,x)","- \frac{- 13 x^{5} + 4 x^{2} - 3 x - 2}{x^{8} + 4 x^{6} + 10 x^{4} + 12 x^{2} + 9}"," ",0,"-(-13*x**5 + 4*x**2 - 3*x - 2)/(x**8 + 4*x**6 + 10*x**4 + 12*x**2 + 9)","A",0
232,1,8,0,0.116513," ","integrate((4*x**5-1)/(x**5+x+1)**2,x)","- \frac{x}{x^{5} + x + 1}"," ",0,"-x/(x**5 + x + 1)","A",0
233,1,272,0,1.361735," ","integrate((x**2+1)/(-x**6+7*x**4-7*x**2+1)**2,x)","\frac{- 7 x^{5} + 46 x^{3} - 31 x}{32 x^{6} - 224 x^{4} + 224 x^{2} - 32} - \frac{\log{\left(x - 1 \right)}}{8} + \frac{\log{\left(x + 1 \right)}}{8} + \left(- \frac{3}{128} - \frac{\sqrt{2}}{64}\right) \log{\left(x - \frac{38423555}{909328} - \frac{38423555 \sqrt{2}}{1363992} + \frac{9549859782656 \left(- \frac{3}{128} - \frac{\sqrt{2}}{64}\right)^{5}}{170499} - \frac{56267374592 \left(- \frac{3}{128} - \frac{\sqrt{2}}{64}\right)^{3}}{56833} \right)} + \left(- \frac{3}{128} + \frac{\sqrt{2}}{64}\right) \log{\left(x - \frac{38423555}{909328} + \frac{9549859782656 \left(- \frac{3}{128} + \frac{\sqrt{2}}{64}\right)^{5}}{170499} - \frac{56267374592 \left(- \frac{3}{128} + \frac{\sqrt{2}}{64}\right)^{3}}{56833} + \frac{38423555 \sqrt{2}}{1363992} \right)} + \left(\frac{3}{128} - \frac{\sqrt{2}}{64}\right) \log{\left(x - \frac{38423555 \sqrt{2}}{1363992} - \frac{56267374592 \left(\frac{3}{128} - \frac{\sqrt{2}}{64}\right)^{3}}{56833} + \frac{9549859782656 \left(\frac{3}{128} - \frac{\sqrt{2}}{64}\right)^{5}}{170499} + \frac{38423555}{909328} \right)} + \left(\frac{\sqrt{2}}{64} + \frac{3}{128}\right) \log{\left(x - \frac{56267374592 \left(\frac{\sqrt{2}}{64} + \frac{3}{128}\right)^{3}}{56833} + \frac{9549859782656 \left(\frac{\sqrt{2}}{64} + \frac{3}{128}\right)^{5}}{170499} + \frac{38423555 \sqrt{2}}{1363992} + \frac{38423555}{909328} \right)}"," ",0,"(-7*x**5 + 46*x**3 - 31*x)/(32*x**6 - 224*x**4 + 224*x**2 - 32) - log(x - 1)/8 + log(x + 1)/8 + (-3/128 - sqrt(2)/64)*log(x - 38423555/909328 - 38423555*sqrt(2)/1363992 + 9549859782656*(-3/128 - sqrt(2)/64)**5/170499 - 56267374592*(-3/128 - sqrt(2)/64)**3/56833) + (-3/128 + sqrt(2)/64)*log(x - 38423555/909328 + 9549859782656*(-3/128 + sqrt(2)/64)**5/170499 - 56267374592*(-3/128 + sqrt(2)/64)**3/56833 + 38423555*sqrt(2)/1363992) + (3/128 - sqrt(2)/64)*log(x - 38423555*sqrt(2)/1363992 - 56267374592*(3/128 - sqrt(2)/64)**3/56833 + 9549859782656*(3/128 - sqrt(2)/64)**5/170499 + 38423555/909328) + (sqrt(2)/64 + 3/128)*log(x - 56267374592*(sqrt(2)/64 + 3/128)**3/56833 + 9549859782656*(sqrt(2)/64 + 3/128)**5/170499 + 38423555*sqrt(2)/1363992 + 38423555/909328)","B",0
234,-1,0,0,0.000000," ","integrate(x**m*(d*x**3+c*x**2+b*x+a)**p*(a*(1+m)+x*(b*(2+m+p)+x*(c*(3+m+2*p)+d*(4+m+3*p)*x))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,-1,0,0,0.000000," ","integrate(x**2*(d*x**3+c*x**2+b*x+a)**p*(3*a+b*(4+p)*x+c*(5+2*p)*x**2+d*(6+3*p)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,-1,0,0,0.000000," ","integrate(x*(d*x**3+c*x**2+b*x+a)**p*(2*a+b*(3+p)*x+c*(4+2*p)*x**2+d*(5+3*p)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
237,-1,0,0,0.000000," ","integrate((d*x**3+c*x**2+b*x+a)**p*(a+b*(2+p)*x+c*(3+2*p)*x**2+d*(4+3*p)*x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
238,-1,0,0,0.000000," ","integrate((d*x**3+c*x**2+b*x+a)**p*(b*(1+p)*x+c*(2+2*p)*x**2+d*(3+3*p)*x**3)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,-1,0,0,0.000000," ","integrate((d*x**3+c*x**2+b*x+a)**p*(-a+b*p*x+c*(1+2*p)*x**2+d*(2+3*p)*x**3)/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,-1,0,0,0.000000," ","integrate((d*x**3+c*x**2+b*x+a)**p*(-2*a+b*(-1+p)*x+2*c*p*x**2+d*(1+3*p)*x**3)/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
241,-1,0,0,0.000000," ","integrate((d*x**3+c*x**2+b*x+a)**p*(-3*a+b*(-2+p)*x+c*(-1+2*p)*x**2+3*d*p*x**3)/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
242,1,97,0,0.245308," ","integrate(x**4*(2*x**3+3*x**2+x+5)/(2*x**4+x**3+3*x**2+x+2),x)","\frac{x^{4}}{4} + \frac{x^{3}}{3} - \frac{3 x^{2}}{4} + \frac{5 x}{4} - \frac{13 \log{\left(x^{2} - \frac{x}{2} + 1 \right)}}{48} + \frac{\log{\left(x^{2} + x + 1 \right)}}{3} - \frac{\sqrt{15} \operatorname{atan}{\left(\frac{4 \sqrt{15} x}{15} - \frac{\sqrt{15}}{15} \right)}}{72} - \frac{10 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"x**4/4 + x**3/3 - 3*x**2/4 + 5*x/4 - 13*log(x**2 - x/2 + 1)/48 + log(x**2 + x + 1)/3 - sqrt(15)*atan(4*sqrt(15)*x/15 - sqrt(15)/15)/72 - 10*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/9","A",0
243,1,92,0,0.246635," ","integrate(x**3*(2*x**3+3*x**2+x+5)/(2*x**4+x**3+3*x**2+x+2),x)","\frac{x^{3}}{3} + \frac{x^{2}}{2} - \frac{3 x}{2} - \frac{\log{\left(x^{2} - \frac{x}{2} + 1 \right)}}{24} + \frac{2 \log{\left(x^{2} + x + 1 \right)}}{3} - \frac{5 \sqrt{15} \operatorname{atan}{\left(\frac{4 \sqrt{15} x}{15} - \frac{\sqrt{15}}{15} \right)}}{36} + \frac{8 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"x**3/3 + x**2/2 - 3*x/2 - log(x**2 - x/2 + 1)/24 + 2*log(x**2 + x + 1)/3 - 5*sqrt(15)*atan(4*sqrt(15)*x/15 - sqrt(15)/15)/36 + 8*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/9","A",0
244,1,78,0,0.231732," ","integrate(x**2*(2*x**3+3*x**2+x+5)/(2*x**4+x**3+3*x**2+x+2),x)","\frac{x^{2}}{2} + x + \frac{\log{\left(x^{2} - \frac{x}{2} + 1 \right)}}{4} - \log{\left(x^{2} + x + 1 \right)} - \frac{\sqrt{15} \operatorname{atan}{\left(\frac{4 \sqrt{15} x}{15} - \frac{\sqrt{15}}{15} \right)}}{18} + \frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"x**2/2 + x + log(x**2 - x/2 + 1)/4 - log(x**2 + x + 1) - sqrt(15)*atan(4*sqrt(15)*x/15 - sqrt(15)/15)/18 + 2*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/9","A",0
245,1,75,0,0.231957," ","integrate(x*(2*x**3+3*x**2+x+5)/(2*x**4+x**3+3*x**2+x+2),x)","x + \frac{\log{\left(x^{2} - \frac{x}{2} + 1 \right)}}{6} + \frac{\log{\left(x^{2} + x + 1 \right)}}{3} + \frac{\sqrt{15} \operatorname{atan}{\left(\frac{4 \sqrt{15} x}{15} - \frac{\sqrt{15}}{15} \right)}}{9} - \frac{10 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"x + log(x**2 - x/2 + 1)/6 + log(x**2 + x + 1)/3 + sqrt(15)*atan(4*sqrt(15)*x/15 - sqrt(15)/15)/9 - 10*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/9","A",0
246,1,75,0,0.225341," ","integrate((2*x**3+3*x**2+x+5)/(2*x**4+x**3+3*x**2+x+2),x)","- \frac{\log{\left(x^{2} - \frac{x}{2} + 1 \right)}}{6} + \frac{2 \log{\left(x^{2} + x + 1 \right)}}{3} + \frac{\sqrt{15} \operatorname{atan}{\left(\frac{4 \sqrt{15} x}{15} - \frac{\sqrt{15}}{15} \right)}}{9} + \frac{8 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"-log(x**2 - x/2 + 1)/6 + 2*log(x**2 + x + 1)/3 + sqrt(15)*atan(4*sqrt(15)*x/15 - sqrt(15)/15)/9 + 8*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/9","A",0
247,1,78,0,0.288087," ","integrate((2*x**3+3*x**2+x+5)/x/(2*x**4+x**3+3*x**2+x+2),x)","\frac{5 \log{\left(x \right)}}{2} - \frac{\log{\left(x^{2} - \frac{x}{2} + 1 \right)}}{4} - \log{\left(x^{2} + x + 1 \right)} - \frac{\sqrt{15} \operatorname{atan}{\left(\frac{4 \sqrt{15} x}{15} - \frac{\sqrt{15}}{15} \right)}}{18} + \frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"5*log(x)/2 - log(x**2 - x/2 + 1)/4 - log(x**2 + x + 1) - sqrt(15)*atan(4*sqrt(15)*x/15 - sqrt(15)/15)/18 + 2*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/9","A",0
248,1,87,0,0.314743," ","integrate((2*x**3+3*x**2+x+5)/x**2/(2*x**4+x**3+3*x**2+x+2),x)","- \frac{3 \log{\left(x \right)}}{4} + \frac{\log{\left(x^{2} - \frac{x}{2} + 1 \right)}}{24} + \frac{\log{\left(x^{2} + x + 1 \right)}}{3} - \frac{5 \sqrt{15} \operatorname{atan}{\left(\frac{4 \sqrt{15} x}{15} - \frac{\sqrt{15}}{15} \right)}}{36} - \frac{10 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{9} - \frac{5}{2 x}"," ",0,"-3*log(x)/4 + log(x**2 - x/2 + 1)/24 + log(x**2 + x + 1)/3 - 5*sqrt(15)*atan(4*sqrt(15)*x/15 - sqrt(15)/15)/36 - 10*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/9 - 5/(2*x)","A",0
249,1,94,0,0.321271," ","integrate((2*x**3+3*x**2+x+5)/x**3/(2*x**4+x**3+3*x**2+x+2),x)","- \frac{15 \log{\left(x \right)}}{8} + \frac{13 \log{\left(x^{2} - \frac{x}{2} + 1 \right)}}{48} + \frac{2 \log{\left(x^{2} + x + 1 \right)}}{3} - \frac{\sqrt{15} \operatorname{atan}{\left(\frac{4 \sqrt{15} x}{15} - \frac{\sqrt{15}}{15} \right)}}{72} + \frac{8 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{9} + \frac{3 x - 5}{4 x^{2}}"," ",0,"-15*log(x)/8 + 13*log(x**2 - x/2 + 1)/48 + 2*log(x**2 + x + 1)/3 - sqrt(15)*atan(4*sqrt(15)*x/15 - sqrt(15)/15)/72 + 8*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/9 + (3*x - 5)/(4*x**2)","A",0
250,1,61,0,0.985213," ","integrate(x**3*(2*x**3+3*x**2+x+5)/(2*x**4+x**3+5*x**2+x+2),x)","\frac{x^{3}}{3} + \frac{x^{2}}{2} - \frac{5 x}{2} + \operatorname{RootSum} {\left(1372 t^{4} - 1029 t^{3} + 3136 t^{2} + 2688 t + 512, \left( t \mapsto t \log{\left(\frac{5831 t^{3}}{1936} - \frac{23765 t^{2}}{7744} + \frac{2065 t}{242} + x + \frac{415}{121} \right)} \right)\right)}"," ",0,"x**3/3 + x**2/2 - 5*x/2 + RootSum(1372*_t**4 - 1029*_t**3 + 3136*_t**2 + 2688*_t + 512, Lambda(_t, _t*log(5831*_t**3/1936 - 23765*_t**2/7744 + 2065*_t/242 + x + 415/121)))","A",0
251,1,3662,0,2.732131," ","integrate(x**2*(2*x**3+3*x**2+x+5)/(2*x**4+x**3+5*x**2+x+2),x)","\frac{x^{2}}{2} + x + \left(- \frac{5}{8} + \sqrt{\frac{79}{448} + \frac{\sqrt{77}}{49}}\right) \log{\left(x^{2} + x \left(- \frac{1459 \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{536576} - \frac{15 \sqrt{77} \sqrt{553 + 64 \sqrt{77}}}{2096} - \frac{10391 \sqrt{553 + 64 \sqrt{77}}}{268288} + \frac{1459 \sqrt{77}}{8384} + \frac{522933}{268288} + \frac{45 \sqrt{14} \sqrt{553 + 64 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{536576}\right) - \frac{510895297 \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{71978450944} - \frac{6009493 \sqrt{22} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{1124663296} - \frac{38714551 \sqrt{77} \sqrt{553 + 64 \sqrt{77}}}{2249326592} - \frac{4417610843 \sqrt{553 + 64 \sqrt{77}}}{35989225472} + \frac{153195 \sqrt{22} \sqrt{553 + 64 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{2249326592} + \frac{8313499 \sqrt{14} \sqrt{553 + 64 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{71978450944} + \frac{290832444193}{35989225472} + \frac{2303470247 \sqrt{77}}{2249326592} \right)} + \left(- \frac{5}{8} - \sqrt{\frac{79}{448} + \frac{\sqrt{77}}{49}}\right) \log{\left(x^{2} + x \left(- \frac{45 \sqrt{14} \sqrt{553 + 64 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{536576} - \frac{1459 \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{536576} + \frac{10391 \sqrt{553 + 64 \sqrt{77}}}{268288} + \frac{1459 \sqrt{77}}{8384} + \frac{522933}{268288} + \frac{15 \sqrt{77} \sqrt{553 + 64 \sqrt{77}}}{2096}\right) - \frac{510895297 \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{71978450944} - \frac{6009493 \sqrt{22} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{1124663296} - \frac{8313499 \sqrt{14} \sqrt{553 + 64 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{71978450944} - \frac{153195 \sqrt{22} \sqrt{553 + 64 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{2249326592} + \frac{4417610843 \sqrt{553 + 64 \sqrt{77}}}{35989225472} + \frac{38714551 \sqrt{77} \sqrt{553 + 64 \sqrt{77}}}{2249326592} + \frac{290832444193}{35989225472} + \frac{2303470247 \sqrt{77}}{2249326592} \right)} + 2 \sqrt{- \frac{\sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{1568} + \frac{5}{14} + \frac{3 \sqrt{77}}{49}} \operatorname{atan}{\left(\frac{1073152 x}{4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}}} - \frac{45 \sqrt{14} \sqrt{553 + 64 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}}} - \frac{1459 \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}}} + \frac{20782 \sqrt{553 + 64 \sqrt{77}}}{4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}}} + \frac{93376 \sqrt{77}}{4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}}} + \frac{1045866}{4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}}} + \frac{3840 \sqrt{77} \sqrt{553 + 64 \sqrt{77}}}{4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}}} \right)} + 2 \sqrt{- \frac{\sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{1568} + \frac{5}{14} + \frac{3 \sqrt{77}}{49}} \operatorname{atan}{\left(\frac{1073152 x}{- 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}} + \frac{45 \sqrt{14} \sqrt{553 + 64 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{- 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}} + \frac{1045866}{- 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}} + \frac{93376 \sqrt{77}}{- 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}} - \frac{20782 \sqrt{553 + 64 \sqrt{77}}}{- 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}} - \frac{3840 \sqrt{77} \sqrt{553 + 64 \sqrt{77}}}{- 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}} - \frac{1459 \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}}{- 1459 \sqrt{2} \sqrt{553 + 64 \sqrt{77}} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 4313 \sqrt{2} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} + 30 \sqrt{7} \sqrt{- \sqrt{14} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}} + 560 + 96 \sqrt{77}} \sqrt{- 333 \sqrt{553 + 64 \sqrt{77}} + 21975 + 7648 \sqrt{77}}} \right)}"," ",0,"x**2/2 + x + (-5/8 + sqrt(79/448 + sqrt(77)/49))*log(x**2 + x*(-1459*sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/536576 - 15*sqrt(77)*sqrt(553 + 64*sqrt(77))/2096 - 10391*sqrt(553 + 64*sqrt(77))/268288 + 1459*sqrt(77)/8384 + 522933/268288 + 45*sqrt(14)*sqrt(553 + 64*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/536576) - 510895297*sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/71978450944 - 6009493*sqrt(22)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/1124663296 - 38714551*sqrt(77)*sqrt(553 + 64*sqrt(77))/2249326592 - 4417610843*sqrt(553 + 64*sqrt(77))/35989225472 + 153195*sqrt(22)*sqrt(553 + 64*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/2249326592 + 8313499*sqrt(14)*sqrt(553 + 64*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/71978450944 + 290832444193/35989225472 + 2303470247*sqrt(77)/2249326592) + (-5/8 - sqrt(79/448 + sqrt(77)/49))*log(x**2 + x*(-45*sqrt(14)*sqrt(553 + 64*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/536576 - 1459*sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/536576 + 10391*sqrt(553 + 64*sqrt(77))/268288 + 1459*sqrt(77)/8384 + 522933/268288 + 15*sqrt(77)*sqrt(553 + 64*sqrt(77))/2096) - 510895297*sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/71978450944 - 6009493*sqrt(22)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/1124663296 - 8313499*sqrt(14)*sqrt(553 + 64*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/71978450944 - 153195*sqrt(22)*sqrt(553 + 64*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/2249326592 + 4417610843*sqrt(553 + 64*sqrt(77))/35989225472 + 38714551*sqrt(77)*sqrt(553 + 64*sqrt(77))/2249326592 + 290832444193/35989225472 + 2303470247*sqrt(77)/2249326592) + 2*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/1568 + 5/14 + 3*sqrt(77)/49)*atan(1073152*x/(4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))) - 45*sqrt(14)*sqrt(553 + 64*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/(4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))) - 1459*sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/(4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))) + 20782*sqrt(553 + 64*sqrt(77))/(4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))) + 93376*sqrt(77)/(4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))) + 1045866/(4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))) + 3840*sqrt(77)*sqrt(553 + 64*sqrt(77))/(4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)))) + 2*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/1568 + 5/14 + 3*sqrt(77)/49)*atan(1073152*x/(-1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))) + 45*sqrt(14)*sqrt(553 + 64*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/(-1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))) + 1045866/(-1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))) + 93376*sqrt(77)/(-1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))) - 20782*sqrt(553 + 64*sqrt(77))/(-1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))) - 3840*sqrt(77)*sqrt(553 + 64*sqrt(77))/(-1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))) - 1459*sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))/(-1459*sqrt(2)*sqrt(553 + 64*sqrt(77))*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 4313*sqrt(2)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77)) + 30*sqrt(7)*sqrt(-sqrt(14)*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77)) + 560 + 96*sqrt(77))*sqrt(-333*sqrt(553 + 64*sqrt(77)) + 21975 + 7648*sqrt(77))))","B",0
252,1,48,0,0.950280," ","integrate(x*(2*x**3+3*x**2+x+5)/(2*x**4+x**3+5*x**2+x+2),x)","x + \operatorname{RootSum} {\left(343 t^{4} - 343 t^{3} + 294 t^{2} - 336 t + 128, \left( t \mapsto t \log{\left(\frac{3773 t^{3}}{304} - \frac{1029 t^{2}}{304} + \frac{1001 t}{152} + x - \frac{121}{19} \right)} \right)\right)}"," ",0,"x + RootSum(343*_t**4 - 343*_t**3 + 294*_t**2 - 336*_t + 128, Lambda(_t, _t*log(3773*_t**3/304 - 1029*_t**2/304 + 1001*_t/152 + x - 121/19)))","A",0
253,1,46,0,0.913661," ","integrate((2*x**3+3*x**2+x+5)/(2*x**4+x**3+5*x**2+x+2),x)","\operatorname{RootSum} {\left(343 t^{4} - 343 t^{3} + 294 t^{2} - 336 t + 128, \left( t \mapsto t \log{\left(- \frac{7203 t^{3}}{304} + \frac{2303 t^{2}}{304} - \frac{2177 t}{152} + x + \frac{250}{19} \right)} \right)\right)}"," ",0,"RootSum(343*_t**4 - 343*_t**3 + 294*_t**2 - 336*_t + 128, Lambda(_t, _t*log(-7203*_t**3/304 + 2303*_t**2/304 - 2177*_t/152 + x + 250/19)))","A",0
254,1,60,0,12.657096," ","integrate((2*x**3+3*x**2+x+5)/x/(2*x**4+x**3+5*x**2+x+2),x)","\frac{5 \log{\left(x \right)}}{2} + \operatorname{RootSum} {\left(686 t^{4} + 1715 t^{3} + 1372 t^{2} + 448 t + 256, \left( t \mapsto t \log{\left(- \frac{160344611 t^{4}}{532759184} - \frac{16880402 t^{3}}{33297449} + \frac{4010520787 t^{2}}{2131036736} + \frac{1537535671 t}{532759184} + x + \frac{46660495}{66594898} \right)} \right)\right)}"," ",0,"5*log(x)/2 + RootSum(686*_t**4 + 1715*_t**3 + 1372*_t**2 + 448*_t + 256, Lambda(_t, _t*log(-160344611*_t**4/532759184 - 16880402*_t**3/33297449 + 4010520787*_t**2/2131036736 + 1537535671*_t/532759184 + x + 46660495/66594898)))","A",0
255,-1,0,0,0.000000," ","integrate((2*x**3+3*x**2+x+5)/x**2/(2*x**4+x**3+5*x**2+x+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
256,1,70,0,2.704857," ","integrate((2*x**3+3*x**2+x+5)/x**3/(2*x**4+x**3+5*x**2+x+2),x)","- \frac{35 \log{\left(x \right)}}{8} + \operatorname{RootSum} {\left(2744 t^{4} - 12005 t^{3} + 18424 t^{2} - 3136 t + 1024, \left( t \mapsto t \log{\left(- \frac{20101387287723 t^{4}}{91907904361586} + \frac{944515214496 t^{3}}{45953952180793} + \frac{16572327093911939 t^{2}}{5882105879141504} - \frac{4564471749800865 t}{735263234892688} + x + \frac{70084064010625}{91907904361586} \right)} \right)\right)} + \frac{3 x - 5}{4 x^{2}}"," ",0,"-35*log(x)/8 + RootSum(2744*_t**4 - 12005*_t**3 + 18424*_t**2 - 3136*_t + 1024, Lambda(_t, _t*log(-20101387287723*_t**4/91907904361586 + 944515214496*_t**3/45953952180793 + 16572327093911939*_t**2/5882105879141504 - 4564471749800865*_t/735263234892688 + x + 70084064010625/91907904361586))) + (3*x - 5)/(4*x**2)","A",0
257,1,44,0,1.045315," ","integrate(x**2*(b*x**2+3*a)/(c**2*x**6+b**2*x**4+2*a*b*x**2+a**2),x)","\frac{- \frac{i \log{\left(- \frac{i a}{c} - \frac{i b x^{2}}{c} + x^{3} \right)}}{2} + \frac{i \log{\left(\frac{i a}{c} + \frac{i b x^{2}}{c} + x^{3} \right)}}{2}}{c}"," ",0,"(-I*log(-I*a/c - I*b*x**2/c + x**3)/2 + I*log(I*a/c + I*b*x**2/c + x**3)/2)/c","C",0
258,1,37,0,0.169685," ","integrate((-3*x**4+1)/(-2+x)/(x**2+1)**2,x)","- \frac{1 - 2 x}{5 x^{2} + 5} - \frac{47 \log{\left(x - 2 \right)}}{25} - \frac{14 \log{\left(x^{2} + 1 \right)}}{25} - \frac{46 \operatorname{atan}{\left(x \right)}}{25}"," ",0,"-(1 - 2*x)/(5*x**2 + 5) - 47*log(x - 2)/25 - 14*log(x**2 + 1)/25 - 46*atan(x)/25","A",0
259,1,14,0,0.130622," ","integrate((2*x**2-9*x-9)/(x**3-9*x),x)","\log{\left(x \right)} - \log{\left(x - 3 \right)} + 2 \log{\left(x + 3 \right)}"," ",0,"log(x) - log(x - 3) + 2*log(x + 3)","A",0
260,1,20,0,0.132369," ","integrate((x**5+2*x**2+1)/(x**3-x),x)","\frac{x^{3}}{3} + x - \log{\left(x \right)} + 2 \log{\left(x - 1 \right)} + \log{\left(x + 1 \right)}"," ",0,"x**3/3 + x - log(x) + 2*log(x - 1) + log(x + 1)","A",0
261,1,14,0,0.111156," ","integrate((2*x**2+3)/(-1+x)**2/x,x)","3 \log{\left(x \right)} - \log{\left(x - 1 \right)} - \frac{5}{x - 1}"," ",0,"3*log(x) - log(x - 1) - 5/(x - 1)","A",0
262,1,26,0,0.143504," ","integrate((2*x**2-1)/(-1+4*x)/(x**2+1),x)","- \frac{7 \log{\left(x - \frac{1}{4} \right)}}{34} + \frac{6 \log{\left(x^{2} + 1 \right)}}{17} + \frac{3 \operatorname{atan}{\left(x \right)}}{17}"," ",0,"-7*log(x - 1/4)/34 + 6*log(x**2 + 1)/17 + 3*atan(x)/17","A",0
263,1,15,0,0.082020," ","integrate((x**3-3*x**2+2*x-3)/(x**2+1),x)","\frac{x^{2}}{2} - 3 x + \frac{\log{\left(x^{2} + 1 \right)}}{2}"," ",0,"x**2/2 - 3*x + log(x**2 + 1)/2","A",0
264,1,22,0,0.109474," ","integrate((x**4+6*x**3+10*x**2+x)/(x**2+6*x+10),x)","\frac{x^{3}}{3} + \frac{\log{\left(x^{2} + 6 x + 10 \right)}}{2} - 3 \operatorname{atan}{\left(x + 3 \right)}"," ",0,"x**3/3 + log(x**2 + 6*x + 10)/2 - 3*atan(x + 3)","A",0
265,1,26,0,0.241023," ","integrate(1/(x**4-3*x**3-7*x**2+27*x-18),x)","\frac{\log{\left(x - 3 \right)}}{12} - \frac{\log{\left(x - 2 \right)}}{5} + \frac{\log{\left(x - 1 \right)}}{8} - \frac{\log{\left(x + 3 \right)}}{120}"," ",0,"log(x - 3)/12 - log(x - 2)/5 + log(x - 1)/8 - log(x + 3)/120","A",0
266,1,17,0,0.074766," ","integrate((x**3+1)/(-2+x),x)","\frac{x^{3}}{3} + x^{2} + 4 x + 9 \log{\left(x - 2 \right)}"," ",0,"x**3/3 + x**2 + 4*x + 9*log(x - 2)","A",0
267,1,14,0,0.091291," ","integrate((3*x**3-4*x**2+3*x)/(x**2+1),x)","\frac{3 x^{2}}{2} - 4 x + 4 \operatorname{atan}{\left(x \right)}"," ",0,"3*x**2/2 - 4*x + 4*atan(x)","A",0
268,1,17,0,0.098339," ","integrate((5+3*x)/(x**3-x**2-x+1),x)","- \frac{\log{\left(x - 1 \right)}}{2} + \frac{\log{\left(x + 1 \right)}}{2} - \frac{4}{x - 1}"," ",0,"-log(x - 1)/2 + log(x + 1)/2 - 4/(x - 1)","B",0
269,1,19,0,0.101703," ","integrate((x**4-x**3-x-1)/(x**3-x**2),x)","\frac{x^{2}}{2} + 2 \log{\left(x \right)} - 2 \log{\left(x - 1 \right)} - \frac{1}{x}"," ",0,"x**2/2 + 2*log(x) - 2*log(x - 1) - 1/x","A",0
270,1,10,0,0.114253," ","integrate((x**3+x**2+x+2)/(x**4+3*x**2+2),x)","\frac{\log{\left(x^{2} + 2 \right)}}{2} + \operatorname{atan}{\left(x \right)}"," ",0,"log(x**2 + 2)/2 + atan(x)","A",0
271,1,36,0,0.146938," ","integrate((x**5-x**4+4*x**3-4*x**2+8*x-4)/(x**2+2)**3,x)","\frac{\log{\left(x^{2} + 2 \right)}}{2} - \frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{2} - \frac{1}{x^{4} + 4 x^{2} + 4}"," ",0,"log(x**2 + 2)/2 - sqrt(2)*atan(sqrt(2)*x/2)/2 - 1/(x**4 + 4*x**2 + 4)","A",0
272,1,17,0,0.137919," ","integrate((x**2-3*x-1)/(x**3+x**2-2*x),x)","\frac{\log{\left(x \right)}}{2} - \log{\left(x - 1 \right)} + \frac{3 \log{\left(x + 2 \right)}}{2}"," ",0,"log(x)/2 - log(x - 1) + 3*log(x + 2)/2","A",0
273,1,19,0,0.109205," ","integrate((x**4-2*x**3+3*x**2-x+3)/(x**3-2*x**2+3*x),x)","\frac{x^{2}}{2} + \log{\left(x \right)} - \frac{\log{\left(x^{2} - 2 x + 3 \right)}}{2}"," ",0,"x**2/2 + log(x) - log(x**2 - 2*x + 3)/2","A",0
274,1,20,0,0.118611," ","integrate((x**3+x-1)/(x**2+1)**2,x)","- \frac{x}{2 x^{2} + 2} + \frac{\log{\left(x^{2} + 1 \right)}}{2} - \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"-x/(2*x**2 + 2) + log(x**2 + 1)/2 - atan(x)/2","A",0
275,1,49,0,0.212241," ","integrate((x**4+8*x**3-x**2+2*x+1)/(x**2+x)/(x**3+1),x)","\log{\left(x \right)} - 2 \log{\left(x + 1 \right)} + \log{\left(x^{2} - x + 1 \right)} + \frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} - \frac{\sqrt{3}}{3} \right)}}{3} - \frac{3}{x + 1}"," ",0,"log(x) - 2*log(x + 1) + log(x**2 - x + 1) + 2*sqrt(3)*atan(2*sqrt(3)*x/3 - sqrt(3)/3)/3 - 3/(x + 1)","A",0
276,1,51,0,0.213359," ","integrate((x**3+x**2-5*x+15)/(x**2+5)/(x**2+2*x+3),x)","\frac{\log{\left(x^{2} + 2 x + 3 \right)}}{2} - \sqrt{5} \operatorname{atan}{\left(\frac{\sqrt{5} x}{5} \right)} + \frac{5 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} + \frac{\sqrt{2}}{2} \right)}}{2}"," ",0,"log(x**2 + 2*x + 3)/2 - sqrt(5)*atan(sqrt(5)*x/5) + 5*sqrt(2)*atan(sqrt(2)*x/2 + sqrt(2)/2)/2","A",0
277,1,41,0,0.185542," ","integrate((x**6+7*x**5+15*x**4+32*x**3+23*x**2+25*x-3)/(x**2+1)**2/(x**2+x+2)**2,x)","\frac{- 2 x^{2} - 3 x - 5}{x^{4} + x^{3} + 3 x^{2} + x + 2} + \log{\left(x^{2} + 1 \right)} - \log{\left(x^{2} + x + 2 \right)}"," ",0,"(-2*x**2 - 3*x - 5)/(x**4 + x**3 + 3*x**2 + x + 2) + log(x**2 + 1) - log(x**2 + x + 2)","A",0
278,1,10,0,0.141263," ","integrate(1/(x**2+1)/(x**2+4),x)","- \frac{\operatorname{atan}{\left(\frac{x}{2} \right)}}{6} + \frac{\operatorname{atan}{\left(x \right)}}{3}"," ",0,"-atan(x/2)/6 + atan(x)/3","A",0
279,1,34,0,0.165799," ","integrate((b*x**3+a)/(x**2+1),x)","\frac{b x^{2}}{2} + \left(- \frac{i a}{2} - \frac{b}{2}\right) \log{\left(x - i \right)} + \left(\frac{i a}{2} - \frac{b}{2}\right) \log{\left(x + i \right)}"," ",0,"b*x**2/2 + (-I*a/2 - b/2)*log(x - I) + (I*a/2 - b/2)*log(x + I)","C",0
280,1,17,0,0.136744," ","integrate((x**2+x)/(4+x)/(x**2-4),x)","\frac{\log{\left(x - 2 \right)}}{4} - \frac{\log{\left(x + 2 \right)}}{4} + \log{\left(x + 4 \right)}"," ",0,"log(x - 2)/4 - log(x + 2)/4 + log(x + 4)","A",0
281,1,19,0,0.148377," ","integrate((x**2+4)/(x**2+1)/(x**2+2),x)","3 \operatorname{atan}{\left(x \right)} - \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}"," ",0,"3*atan(x) - sqrt(2)*atan(sqrt(2)*x/2)","A",0
282,1,29,0,0.164168," ","integrate((x**4+3*x**2-4*x+5)/(-1+x)**2/(x**2+1),x)","x + \frac{\log{\left(x - 1 \right)}}{2} + \frac{3 \log{\left(x^{2} + 1 \right)}}{4} + 2 \operatorname{atan}{\left(x \right)} - \frac{5}{2 x - 2}"," ",0,"x + log(x - 1)/2 + 3*log(x**2 + 1)/4 + 2*atan(x) - 5/(2*x - 2)","A",0
283,1,26,0,0.094319," ","integrate((x**4+1)/(x**2+2),x)","\frac{x^{3}}{3} - 2 x + \frac{5 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{2}"," ",0,"x**3/3 - 2*x + 5*sqrt(2)*atan(sqrt(2)*x/2)/2","A",0
284,1,10,0,0.094964," ","integrate((x**4+2*x+2)/(x**5+x**4),x)","\log{\left(x + 1 \right)} - \frac{2}{3 x^{3}}"," ",0,"log(x + 1) - 2/(3*x**3)","A",0
285,1,15,0,0.132194," ","integrate((2*x**2-5*x-1)/(x**3-2*x**2-x+2),x)","- \log{\left(x - 2 \right)} + 2 \log{\left(x - 1 \right)} + \log{\left(x + 1 \right)}"," ",0,"-log(x - 2) + 2*log(x - 1) + log(x + 1)","A",0
286,1,17,0,0.112229," ","integrate((x**3+x+2)/(x**4+2*x**2+1),x)","\frac{x}{x^{2} + 1} + \frac{\log{\left(x^{2} + 1 \right)}}{2} + \operatorname{atan}{\left(x \right)}"," ",0,"x/(x**2 + 1) + log(x**2 + 1)/2 + atan(x)","A",0
287,1,19,0,0.116330," ","integrate((x**3+x**2+2*x+1)/(x**4+2*x**2+1),x)","\frac{\log{\left(x^{2} + 1 \right)}}{2} + \operatorname{atan}{\left(x \right)} - \frac{1}{2 x^{2} + 2}"," ",0,"log(x**2 + 1)/2 + atan(x) - 1/(2*x**2 + 2)","A",0
288,1,39,0,0.187643," ","integrate((3+4*x)/(x**2+1)/(x**2+2),x)","2 \log{\left(x^{2} + 1 \right)} - 2 \log{\left(x^{2} + 2 \right)} + 3 \operatorname{atan}{\left(x \right)} - \frac{3 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{2}"," ",0,"2*log(x**2 + 1) - 2*log(x**2 + 2) + 3*atan(x) - 3*sqrt(2)*atan(sqrt(2)*x/2)/2","A",0
289,1,29,0,0.173529," ","integrate((2+x)/(x**2+1)/(x**2+4),x)","\frac{\log{\left(x^{2} + 1 \right)}}{6} - \frac{\log{\left(x^{2} + 4 \right)}}{6} - \frac{\operatorname{atan}{\left(\frac{x}{2} \right)}}{3} + \frac{2 \operatorname{atan}{\left(x \right)}}{3}"," ",0,"log(x**2 + 1)/6 - log(x**2 + 4)/6 - atan(x/2)/3 + 2*atan(x)/3","A",0
290,1,22,0,0.109394," ","integrate((x**3-x+2)/(x**2-6*x-7),x)","\frac{x^{2}}{2} + 6 x + \frac{169 \log{\left(x - 7 \right)}}{4} - \frac{\log{\left(x + 1 \right)}}{4}"," ",0,"x**2/2 + 6*x + 169*log(x - 7)/4 - log(x + 1)/4","A",0
291,1,14,0,0.081322," ","integrate((x**5-1)/(x**2-1),x)","\frac{x^{4}}{4} + \frac{x^{2}}{2} + \log{\left(x + 1 \right)}"," ",0,"x**4/4 + x**2/2 + log(x + 1)","A",0
292,1,46,0,0.117650," ","integrate((x**3-x**2+2*x+5)/(x**2+x+1),x)","\frac{x^{2}}{2} - 2 x + \frac{3 \log{\left(x^{2} + x + 1 \right)}}{2} + \frac{11 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"x**2/2 - 2*x + 3*log(x**2 + x + 1)/2 + 11*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/3","A",0
293,1,34,0,0.118120," ","integrate((x**4-2*x**3+x-3)/(2*x**2-8*x+10),x)","\frac{x^{3}}{6} + \frac{x^{2}}{2} + \frac{3 x}{2} + \frac{3 \log{\left(x^{2} - 4 x + 5 \right)}}{4} - 6 \operatorname{atan}{\left(x - 2 \right)}"," ",0,"x**3/6 + x**2/2 + 3*x/2 + 3*log(x**2 - 4*x + 5)/4 - 6*atan(x - 2)","A",0
294,1,24,0,0.152445," ","integrate((x**3+3*x**2+2*x+1)/(-3+x)/(-2+x)/(-1+x),x)","x + \frac{61 \log{\left(x - 3 \right)}}{2} - 25 \log{\left(x - 2 \right)} + \frac{7 \log{\left(x - 1 \right)}}{2}"," ",0,"x + 61*log(x - 3)/2 - 25*log(x - 2) + 7*log(x - 1)/2","A",0
295,1,31,0,0.148566," ","integrate((x**4-x**3+x**2-7*x+2)/(x**3+x**2-14*x-24),x)","\frac{x^{2}}{2} - 2 x + \frac{13 \log{\left(x - 4 \right)}}{3} - \frac{22 \log{\left(x + 2 \right)}}{3} + 20 \log{\left(x + 3 \right)}"," ",0,"x**2/2 - 2*x + 13*log(x - 4)/3 - 22*log(x + 2)/3 + 20*log(x + 3)","A",0
296,1,27,0,0.144712," ","integrate((x**2+2)/(-1+x)**2/x/(1+x),x)","2 \log{\left(x \right)} - \frac{5 \log{\left(x - 1 \right)}}{4} - \frac{3 \log{\left(x + 1 \right)}}{4} - \frac{3}{2 x - 2}"," ",0,"2*log(x) - 5*log(x - 1)/4 - 3*log(x + 1)/4 - 3/(2*x - 2)","A",0
297,1,36,0,0.131306," ","integrate((x**3+x**2+3)/(x**2+2)**2,x)","\frac{x + 4}{4 x^{2} + 8} + \frac{\log{\left(x^{2} + 2 \right)}}{2} + \frac{5 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{8}"," ",0,"(x + 4)/(4*x**2 + 8) + log(x**2 + 2)/2 + 5*sqrt(2)*atan(sqrt(2)*x/2)/8","A",0
298,1,46,0,0.227340," ","integrate((2*x**3-4*x**2+70*x-35)/(x**2-10*x+26)/(x**2-2*x+17),x)","\frac{1003 \log{\left(x^{2} - 10 x + 26 \right)}}{1025} + \frac{22 \log{\left(x^{2} - 2 x + 17 \right)}}{1025} - \frac{4607 \operatorname{atan}{\left(\frac{x}{4} - \frac{1}{4} \right)}}{4100} + \frac{15033 \operatorname{atan}{\left(x - 5 \right)}}{1025}"," ",0,"1003*log(x**2 - 10*x + 26)/1025 + 22*log(x**2 - 2*x + 17)/1025 - 4607*atan(x/4 - 1/4)/4100 + 15033*atan(x - 5)/1025","A",0
299,1,24,0,0.142378," ","integrate((x**2+2)/(-5+x)/(-3+x)/(4+x),x)","\frac{3 \log{\left(x - 5 \right)}}{2} - \frac{11 \log{\left(x - 3 \right)}}{14} + \frac{2 \log{\left(x + 4 \right)}}{7}"," ",0,"3*log(x - 5)/2 - 11*log(x - 3)/14 + 2*log(x + 4)/7","A",0
300,1,41,0,0.144149," ","integrate(x**4/(-1+x)/(x**2+2),x)","\frac{x^{2}}{2} + x + \frac{\log{\left(x - 1 \right)}}{3} - \frac{2 \log{\left(x^{2} + 2 \right)}}{3} - \frac{2 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{3}"," ",0,"x**2/2 + x + log(x - 1)/3 - 2*log(x**2 + 2)/3 - 2*sqrt(2)*atan(sqrt(2)*x/2)/3","A",0
301,1,10,0,0.093352," ","integrate((2*x**2+7*x-1)/(x**3+x**2-x-1),x)","2 \log{\left(x - 1 \right)} - \frac{3}{x + 1}"," ",0,"2*log(x - 1) - 3/(x + 1)","A",0
302,1,14,0,0.087293," ","integrate((1+2*x)/(x**3-3*x**2+3*x-1),x)","\frac{1 - 4 x}{2 x^{2} - 4 x + 2}"," ",0,"(1 - 4*x)/(2*x**2 - 4*x + 2)","A",0
303,1,17,0,0.114354," ","integrate((x**3+7*x**2-5*x+5)/(-1+x)**2/(1+x)**3,x)","\frac{- x^{2} - 4 x + 1}{x^{3} + x^{2} - x - 1}"," ",0,"(-x**2 - 4*x + 1)/(x**3 + x**2 - x - 1)","A",0
304,1,3,0,0.129527," ","integrate((3*x**2+3*x+1)/(x**3+2*x**2+2*x+1),x)","\log{\left(x + 1 \right)}"," ",0,"log(x + 1)","A",0
305,1,19,0,0.140880," ","integrate((x**2+2*x-1)/(2*x**3+3*x**2-2*x),x)","\frac{\log{\left(x \right)}}{2} + \frac{\log{\left(x - \frac{1}{2} \right)}}{10} - \frac{\log{\left(x + 2 \right)}}{10}"," ",0,"log(x)/2 + log(x - 1/2)/10 - log(x + 2)/10","A",0
306,1,20,0,0.098166," ","integrate((x**4-2*x**2+4*x+1)/(x**3-x**2-x+1),x)","\frac{x^{2}}{2} + x + \log{\left(x - 1 \right)} - \log{\left(x + 1 \right)} - \frac{2}{x - 1}"," ",0,"x**2/2 + x + log(x - 1) - log(x + 1) - 2/(x - 1)","A",0
307,1,17,0,0.137114," ","integrate((2*x**2-x+4)/(x**3+4*x),x)","\log{\left(x \right)} + \frac{\log{\left(x^{2} + 4 \right)}}{2} - \frac{\operatorname{atan}{\left(\frac{x}{2} \right)}}{2}"," ",0,"log(x) + log(x**2 + 4)/2 - atan(x/2)/2","A",0
308,1,88,0,0.514759," ","integrate((x**3+x**2+1)/(-1+x)/x/(x**2+1)**3/(x**2+x+1),x)","- \log{\left(x \right)} + \frac{\log{\left(x - 1 \right)}}{8} + \frac{15 \log{\left(x^{2} + 1 \right)}}{16} - \frac{\log{\left(x^{2} + x + 1 \right)}}{2} + \frac{7 \operatorname{atan}{\left(x \right)}}{16} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{3} + \frac{9 x^{3} - 6 x^{2} + 11 x - 4}{16 x^{4} + 32 x^{2} + 16}"," ",0,"-log(x) + log(x - 1)/8 + 15*log(x**2 + 1)/16 - log(x**2 + x + 1)/2 + 7*atan(x)/16 - sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/3 + (9*x**3 - 6*x**2 + 11*x - 4)/(16*x**4 + 32*x**2 + 16)","A",0
309,1,24,0,0.127191," ","integrate((-x**3+2*x**2-3*x+1)/(x**2+1)**2,x)","- \frac{x - 2}{2 x^{2} + 2} - \frac{\log{\left(x^{2} + 1 \right)}}{2} + \frac{3 \operatorname{atan}{\left(x \right)}}{2}"," ",0,"-(x - 2)/(2*x**2 + 2) - log(x**2 + 1)/2 + 3*atan(x)/2","A",0
310,1,27,0,0.148999," ","integrate((-x**3+2*x**2-3*x+1)/x/(x**2+1)**2,x)","- \frac{2 x + 1}{2 x^{2} + 2} + \log{\left(x \right)} - \frac{\log{\left(x^{2} + 1 \right)}}{2} - 2 \operatorname{atan}{\left(x \right)}"," ",0,"-(2*x + 1)/(2*x**2 + 2) + log(x) - log(x**2 + 1)/2 - 2*atan(x)","A",0
311,1,17,0,0.095980," ","integrate((x**4+x**3-x**2-x+1)/(x**3-x),x)","\frac{x^{2}}{2} + x - \log{\left(x \right)} + \frac{\log{\left(x^{2} - 1 \right)}}{2}"," ",0,"x**2/2 + x - log(x) + log(x**2 - 1)/2","A",0
312,1,36,0,0.202055," ","integrate((x**3-4*x**2+2)/(x**2+1)/(x**2+2),x)","- \frac{\log{\left(x^{2} + 1 \right)}}{2} + \log{\left(x^{2} + 2 \right)} + 6 \operatorname{atan}{\left(x \right)} - 5 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}"," ",0,"-log(x**2 + 1)/2 + log(x**2 + 2) + 6*atan(x) - 5*sqrt(2)*atan(sqrt(2)*x/2)","A",0
313,1,22,0,0.173660," ","integrate((x**4+x**2+1)/(x**2+1)/(x**2+4)**2,x)","- \frac{13 x}{24 x^{2} + 96} + \frac{25 \operatorname{atan}{\left(\frac{x}{2} \right)}}{144} + \frac{\operatorname{atan}{\left(x \right)}}{9}"," ",0,"-13*x/(24*x**2 + 96) + 25*atan(x/2)/144 + atan(x)/9","A",0
314,1,46,0,0.162408," ","integrate((x**3+x**2+1)/(x**4+x**3+2*x**2),x)","- \frac{\log{\left(x \right)}}{4} + \frac{5 \log{\left(x^{2} + x + 2 \right)}}{8} + \frac{\sqrt{7} \operatorname{atan}{\left(\frac{2 \sqrt{7} x}{7} + \frac{\sqrt{7}}{7} \right)}}{28} - \frac{1}{2 x}"," ",0,"-log(x)/4 + 5*log(x**2 + x + 2)/8 + sqrt(7)*atan(2*sqrt(7)*x/7 + sqrt(7)/7)/28 - 1/(2*x)","A",0
315,1,17,0,0.097572," ","integrate((x**3+x**2-12*x+1)/(x**2+x-12),x)","\frac{x^{2}}{2} + \frac{\log{\left(x - 3 \right)}}{7} - \frac{\log{\left(x + 4 \right)}}{7}"," ",0,"x**2/2 + log(x - 3)/7 - log(x + 4)/7","A",0
316,1,15,0,0.135910," ","integrate((6*x**2+5*x-3)/(x**3+2*x**2-3*x),x)","\log{\left(x \right)} + 2 \log{\left(x - 1 \right)} + 3 \log{\left(x + 3 \right)}"," ",0,"log(x) + 2*log(x - 1) + 3*log(x + 3)","A",0
317,1,14,0,0.115245," ","integrate((5*x**2+3*x-2)/(x**3+2*x**2),x)","2 \log{\left(x \right)} + 3 \log{\left(x + 2 \right)} + \frac{1}{x}"," ",0,"2*log(x) + 3*log(x + 2) + 1/x","A",0
318,1,17,0,0.130914," ","integrate((-4*x**2-2*x+18)/(x**3+4*x**2+x-6),x)","\log{\left(x - 1 \right)} - 2 \log{\left(x + 2 \right)} - 3 \log{\left(x + 3 \right)}"," ",0,"log(x - 1) - 2*log(x + 2) - 3*log(x + 3)","A",0
319,1,19,0,0.183029," ","integrate((x**3-2*x**2+x+1)/(x**4+5*x**2+4),x)","\frac{\log{\left(x^{2} + 4 \right)}}{2} - \frac{3 \operatorname{atan}{\left(\frac{x}{2} \right)}}{2} + \operatorname{atan}{\left(x \right)}"," ",0,"log(x**2 + 4)/2 - 3*atan(x/2)/2 + atan(x)","A",0
320,1,68,0,0.346337," ","integrate((4*x**3-27*x**2+5*x-32)/(30*x**5-13*x**4+50*x**3-286*x**2-299*x-70),x)","- \frac{3146 \log{\left(x - \frac{7}{3} \right)}}{80155} + \frac{4822 \log{\left(x + \frac{2}{5} \right)}}{4879} - \frac{334 \log{\left(x + \frac{1}{2} \right)}}{323} + \frac{11049 \log{\left(x^{2} + x + 5 \right)}}{260015} + \frac{3988 \sqrt{19} \operatorname{atan}{\left(\frac{2 \sqrt{19} x}{19} + \frac{\sqrt{19}}{19} \right)}}{260015}"," ",0,"-3146*log(x - 7/3)/80155 + 4822*log(x + 2/5)/4879 - 334*log(x + 1/2)/323 + 11049*log(x**2 + x + 5)/260015 + 3988*sqrt(19)*atan(2*sqrt(19)*x/19 + sqrt(19)/19)/260015","A",0
321,1,65,0,0.213283," ","integrate((12*x**5-7*x**3-13*x**2+8)/(100*x**6-80*x**5+116*x**4-80*x**3+41*x**2-20*x+4),x)","\frac{- 36458 x^{2} - 4675 x - 2554}{121000 x^{3} - 48400 x^{2} + 60500 x - 24200} - \frac{59096 \log{\left(x - \frac{2}{5} \right)}}{99825} + \frac{2843 \log{\left(x^{2} + \frac{1}{2} \right)}}{7986} + \frac{503 \sqrt{2} \operatorname{atan}{\left(\sqrt{2} x \right)}}{15972}"," ",0,"(-36458*x**2 - 4675*x - 2554)/(121000*x**3 - 48400*x**2 + 60500*x - 24200) - 59096*log(x - 2/5)/99825 + 2843*log(x**2 + 1/2)/7986 + 503*sqrt(2)*atan(sqrt(2)*x)/15972","A",0
322,1,12,0,0.106114," ","integrate((x**4+9)/x**2/(x**2+9),x)","x - \frac{10 \operatorname{atan}{\left(\frac{x}{3} \right)}}{3} - \frac{1}{x}"," ",0,"x - 10*atan(x/3)/3 - 1/x","A",0
323,1,15,0,0.100714," ","integrate((x**4+2*x)/(x**2+1),x)","\frac{x^{3}}{3} - x + \log{\left(x^{2} + 1 \right)} + \operatorname{atan}{\left(x \right)}"," ",0,"x**3/3 - x + log(x**2 + 1) + atan(x)","A",0
324,1,7,0,0.138182," ","integrate((x**3-x)/(-1+x)**2/(x**2+1),x)","\log{\left(x - 1 \right)} + \operatorname{atan}{\left(x \right)}"," ",0,"log(x - 1) + atan(x)","A",0
325,1,12,0,0.086738," ","integrate((2*x**3+3*x**2+5*x+2)/(x**2+x+1),x)","x^{2} + x + \log{\left(x^{2} + x + 1 \right)}"," ",0,"x**2 + x + log(x**2 + x + 1)","A",0
326,1,99,0,0.448353," ","integrate((3*x**3-5*x**2-4*x+3)/x**3/(x**2+x-1),x)","3 \log{\left(x \right)} + \left(- \frac{3}{2} + \frac{\sqrt{5}}{10}\right) \log{\left(x - \frac{405}{202} - \frac{35 \sqrt{5}}{202} + \frac{110 \left(- \frac{3}{2} + \frac{\sqrt{5}}{10}\right)^{2}}{101} \right)} + \left(- \frac{3}{2} - \frac{\sqrt{5}}{10}\right) \log{\left(x - \frac{405}{202} + \frac{35 \sqrt{5}}{202} + \frac{110 \left(- \frac{3}{2} - \frac{\sqrt{5}}{10}\right)^{2}}{101} \right)} + \frac{3 - 2 x}{2 x^{2}}"," ",0,"3*log(x) + (-3/2 + sqrt(5)/10)*log(x - 405/202 - 35*sqrt(5)/202 + 110*(-3/2 + sqrt(5)/10)**2/101) + (-3/2 - sqrt(5)/10)*log(x - 405/202 + 35*sqrt(5)/202 + 110*(-3/2 - sqrt(5)/10)**2/101) + (3 - 2*x)/(2*x**2)","A",0
327,1,24,0,0.130790," ","integrate((2*x**3+5*x**2+8*x+4)/(x**2+2*x+2)**2,x)","\log{\left(x^{2} + 2 x + 2 \right)} - \operatorname{atan}{\left(x + 1 \right)} - \frac{1}{x^{2} + 2 x + 2}"," ",0,"log(x**2 + 2*x + 2) - atan(x + 1) - 1/(x**2 + 2*x + 2)","A",0
328,1,29,0,0.103042," ","integrate((-1+x)**4*x**4/(x**2+1),x)","\frac{x^{7}}{7} - \frac{2 x^{6}}{3} + x^{5} - \frac{4 x^{3}}{3} + 4 x - 4 \operatorname{atan}{\left(x \right)}"," ",0,"x**7/7 - 2*x**6/3 + x**5 - 4*x**3/3 + 4*x - 4*atan(x)","A",0
329,1,26,0,0.194416," ","integrate((4*x**2-20*x)/(x**4-10*x**2+9),x)","- \frac{\log{\left(x - 3 \right)}}{2} + \log{\left(x - 1 \right)} + \frac{3 \log{\left(x + 1 \right)}}{2} - 2 \log{\left(x + 3 \right)}"," ",0,"-log(x - 3)/2 + log(x - 1) + 3*log(x + 1)/2 - 2*log(x + 3)","A",0
330,1,19,0,0.154536," ","integrate((4*x**3+x-1)/(-1+x)/x**2/(x**2+1),x)","2 \log{\left(x - 1 \right)} - \log{\left(x^{2} + 1 \right)} + \operatorname{atan}{\left(x \right)} - \frac{1}{x}"," ",0,"2*log(x - 1) - log(x**2 + 1) + atan(x) - 1/x","A",0
331,1,20,0,0.130404," ","integrate((x**4-4*x**3+2*x**2-3*x+1)/(x**2+1)**3,x)","\frac{8 x^{2} + 7}{4 x^{4} + 8 x^{2} + 4} + \operatorname{atan}{\left(x \right)}"," ",0,"(8*x**2 + 7)/(4*x**4 + 8*x**2 + 4) + atan(x)","A",0
332,1,20,0,0.127388," ","integrate((x**4-4*x**3+2*x**2-3*x+1)/(x**6+3*x**4+3*x**2+1),x)","\frac{8 x^{2} + 7}{4 x^{4} + 8 x^{2} + 4} + \operatorname{atan}{\left(x \right)}"," ",0,"(8*x**2 + 7)/(4*x**4 + 8*x**2 + 4) + atan(x)","A",0
333,1,10,0,0.099547," ","integrate((2*x**3+2*x**2+x+1)/(x**4+x**3+x**2),x)","\log{\left(x^{2} + x + 1 \right)} - \frac{1}{x}"," ",0,"log(x**2 + x + 1) - 1/x","A",0
334,1,138,0,1.237954," ","integrate(x**2*(d*x+c)**2/(b*x**3+a),x)","\operatorname{RootSum} {\left(27 t^{3} b^{5} - 27 t^{2} b^{4} c^{2} + t \left(18 a b^{2} c d^{3} + 9 b^{3} c^{4}\right) - a^{2} d^{6} + 2 a b c^{3} d^{3} - b^{2} c^{6}, \left( t \mapsto t \log{\left(x + \frac{9 t^{2} b^{3} - 18 t b^{2} c^{2} + 4 a c d^{3} + 5 b c^{4}}{a d^{4} + 8 b c^{3} d} \right)} \right)\right)} + \frac{2 c d x}{b} + \frac{d^{2} x^{2}}{2 b}"," ",0,"RootSum(27*_t**3*b**5 - 27*_t**2*b**4*c**2 + _t*(18*a*b**2*c*d**3 + 9*b**3*c**4) - a**2*d**6 + 2*a*b*c**3*d**3 - b**2*c**6, Lambda(_t, _t*log(x + (9*_t**2*b**3 - 18*_t*b**2*c**2 + 4*a*c*d**3 + 5*b*c**4)/(a*d**4 + 8*b*c**3*d)))) + 2*c*d*x/b + d**2*x**2/(2*b)","A",0
335,1,44,0,0.153500," ","integrate((4*x**5+2*x**3-x)/(x**4+2*x**2+3)**2,x)","\frac{5 - 7 x^{2}}{8 x^{4} + 16 x^{2} + 24} + \frac{9 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{16}"," ",0,"(5 - 7*x**2)/(8*x**4 + 16*x**2 + 24) + 9*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/16","A",0
336,1,46,0,0.184115," ","integrate((x**5+x)/(2*x**4+2*x**2+1)**3,x)","\frac{32 x^{6} + 48 x^{4} + 36 x^{2} + 11}{64 x^{8} + 128 x^{6} + 128 x^{4} + 64 x^{2} + 16} + \operatorname{atan}{\left(2 x^{2} + 1 \right)}"," ",0,"(32*x**6 + 48*x**4 + 36*x**2 + 11)/(64*x**8 + 128*x**6 + 128*x**4 + 64*x**2 + 16) + atan(2*x**2 + 1)","A",0
337,-1,0,0,0.000000," ","integrate((c*x**2+b*x+a)/(f*x**4+e*x**2+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
338,-1,0,0,0.000000," ","integrate((e*x+d)**2/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
339,1,190,0,1.064825," ","integrate(x**2/(b*x+a)/(d*x+c),x)","- \frac{a^{2} \log{\left(x + \frac{\frac{a^{4} d^{3}}{b \left(a d - b c\right)} - \frac{2 a^{3} c d^{2}}{a d - b c} + \frac{a^{2} b c^{2} d}{a d - b c} + a^{2} c d + a b c^{2}}{a^{2} d^{2} + b^{2} c^{2}} \right)}}{b^{2} \left(a d - b c\right)} + \frac{c^{2} \log{\left(x + \frac{- \frac{a^{2} b c^{2} d}{a d - b c} + a^{2} c d + \frac{2 a b^{2} c^{3}}{a d - b c} + a b c^{2} - \frac{b^{3} c^{4}}{d \left(a d - b c\right)}}{a^{2} d^{2} + b^{2} c^{2}} \right)}}{d^{2} \left(a d - b c\right)} + \frac{x}{b d}"," ",0,"-a**2*log(x + (a**4*d**3/(b*(a*d - b*c)) - 2*a**3*c*d**2/(a*d - b*c) + a**2*b*c**2*d/(a*d - b*c) + a**2*c*d + a*b*c**2)/(a**2*d**2 + b**2*c**2))/(b**2*(a*d - b*c)) + c**2*log(x + (-a**2*b*c**2*d/(a*d - b*c) + a**2*c*d + 2*a*b**2*c**3/(a*d - b*c) + a*b*c**2 - b**3*c**4/(d*(a*d - b*c)))/(a**2*d**2 + b**2*c**2))/(d**2*(a*d - b*c)) + x/(b*d)","B",0
340,-1,0,0,0.000000," ","integrate(x**2/(d*x+c)/(b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
341,-1,0,0,0.000000," ","integrate(x**2/(d*x+c)/(b*x**3+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
342,-1,0,0,0.000000," ","integrate(x**2/(d*x+c)/(b*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
343,1,19,0,0.104556," ","integrate(x/(1-x)/(1+x)**2,x)","- \frac{\log{\left(x - 1 \right)}}{4} + \frac{\log{\left(x + 1 \right)}}{4} + \frac{1}{2 x + 2}"," ",0,"-log(x - 1)/4 + log(x + 1)/4 + 1/(2*x + 2)","A",0
344,1,20,0,0.118494," ","integrate(x**2/(-x**2+1)/(x**2+1)**2,x)","- \frac{x}{4 x^{2} + 4} - \frac{\log{\left(x - 1 \right)}}{8} + \frac{\log{\left(x + 1 \right)}}{8}"," ",0,"-x/(4*x**2 + 4) - log(x - 1)/8 + log(x + 1)/8","A",0
345,1,92,0,0.361134," ","integrate(x**3/(-x**3+1)/(x**3+1)**2,x)","- \frac{x}{6 x^{3} + 6} - \frac{\log{\left(x - 1 \right)}}{12} - \frac{\log{\left(x + 1 \right)}}{36} + \frac{\log{\left(x^{2} - x + 1 \right)}}{72} + \frac{\log{\left(x^{2} + x + 1 \right)}}{24} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} - \frac{\sqrt{3}}{3} \right)}}{36} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{12}"," ",0,"-x/(6*x**3 + 6) - log(x - 1)/12 - log(x + 1)/36 + log(x**2 - x + 1)/72 + log(x**2 + x + 1)/24 - sqrt(3)*atan(2*sqrt(3)*x/3 - sqrt(3)/3)/36 + sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/12","A",0
346,1,12,0,0.119671," ","integrate((x**3+3*x**2+x+9)/(x**2+1)/(x**2+3),x)","\frac{\log{\left(x^{2} + 3 \right)}}{2} + 3 \operatorname{atan}{\left(x \right)}"," ",0,"log(x**2 + 3)/2 + 3*atan(x)","A",0
347,1,10,0,0.117239," ","integrate((x**3+x**2+x+3)/(x**2+1)/(x**2+3),x)","\frac{\log{\left(x^{2} + 3 \right)}}{2} + \operatorname{atan}{\left(x \right)}"," ",0,"log(x**2 + 3)/2 + atan(x)","A",0
348,1,29,0,0.192537," ","integrate((3*x**3-x**2+6*x-4)/(x**2+1)/(x**2+2),x)","\frac{3 \log{\left(x^{2} + 1 \right)}}{2} - 3 \operatorname{atan}{\left(x \right)} + \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}"," ",0,"3*log(x**2 + 1)/2 - 3*atan(x) + sqrt(2)*atan(sqrt(2)*x/2)","A",0
349,1,10,0,0.137631," ","integrate(1/(x**2-4*x+4)/(x**2-4*x+5),x)","- \operatorname{atan}{\left(x - 2 \right)} - \frac{1}{x - 2}"," ",0,"-atan(x - 2) - 1/(x - 2)","A",0
350,1,7,0,0.091261," ","integrate((x**2+x-3)/(-3+x)/x**2,x)","\log{\left(x - 3 \right)} - \frac{1}{x}"," ",0,"log(x - 3) - 1/x","A",0
351,1,8,0,0.131130," ","integrate((4*x**2+x+1)/(4*x**3+x),x)","\log{\left(x \right)} + \frac{\operatorname{atan}{\left(2 x \right)}}{2}"," ",0,"log(x) + atan(2*x)/2","A",0
352,1,8,0,0.090552," ","integrate((3*x**2-x+1)/(x**3-x**2),x)","3 \log{\left(x - 1 \right)} + \frac{1}{x}"," ",0,"3*log(x - 1) + 1/x","A",0
353,1,12,0,0.104759," ","integrate((x**2+3*x+4)/(x**2+x),x)","x + 4 \log{\left(x \right)} - 2 \log{\left(x + 1 \right)}"," ",0,"x + 4*log(x) - 2*log(x + 1)","A",0
354,1,15,0,0.132631," ","integrate((3*x**2+x+4)/(x**3+x),x)","4 \log{\left(x \right)} - \frac{\log{\left(x^{2} + 1 \right)}}{2} + \operatorname{atan}{\left(x \right)}"," ",0,"4*log(x) - log(x**2 + 1)/2 + atan(x)","A",0
355,1,10,0,0.132435," ","integrate((8*x**2-4*x+7)/(1+4*x)/(x**2+1),x)","2 \log{\left(x + \frac{1}{4} \right)} - \operatorname{atan}{\left(x \right)}"," ",0,"2*log(x + 1/4) - atan(x)","A",0
356,1,20,0,0.112428," ","integrate(x**2/(-1+x)/(x**2+2*x+1),x)","\frac{\log{\left(x - 1 \right)}}{4} + \frac{3 \log{\left(x + 1 \right)}}{4} + \frac{1}{2 x + 2}"," ",0,"log(x - 1)/4 + 3*log(x + 1)/4 + 1/(2*x + 2)","A",0
357,1,26,0,0.134483," ","integrate((x**2+3*x-4)/(-1+2*x)**2/(3+2*x),x)","\frac{41 \log{\left(x - \frac{1}{2} \right)}}{128} - \frac{25 \log{\left(x + \frac{3}{2} \right)}}{128} + \frac{9}{64 x - 32}"," ",0,"41*log(x - 1/2)/128 - 25*log(x + 3/2)/128 + 9/(64*x - 32)","A",0
358,1,19,0,0.136479," ","integrate((3*x**2-4*x+5)/(-1+x)/(x**2+1),x)","2 \log{\left(x - 1 \right)} + \frac{\log{\left(x^{2} + 1 \right)}}{2} - 3 \operatorname{atan}{\left(x \right)}"," ",0,"2*log(x - 1) + log(x**2 + 1)/2 - 3*atan(x)","A",0
359,1,20,0,0.141152," ","integrate((x**2-2*x-1)/(-1+x)**2/(x**2+1),x)","\log{\left(x - 1 \right)} - \frac{\log{\left(x^{2} + 1 \right)}}{2} + \operatorname{atan}{\left(x \right)} + \frac{1}{x - 1}"," ",0,"log(x - 1) - log(x**2 + 1)/2 + atan(x) + 1/(x - 1)","A",0
360,1,44,0,0.224299," ","integrate((x**3+5)/(x**2-6*x+10)/(1/2-x+x**2),x)","\frac{56 \log{\left(x^{2} - 6 x + 10 \right)}}{221} + \frac{109 \log{\left(x^{2} - x + \frac{1}{2} \right)}}{442} + \frac{1026 \operatorname{atan}{\left(x - 3 \right)}}{221} + \frac{261 \operatorname{atan}{\left(2 x - 1 \right)}}{221}"," ",0,"56*log(x**2 - 6*x + 10)/221 + 109*log(x**2 - x + 1/2)/442 + 1026*atan(x - 3)/221 + 261*atan(2*x - 1)/221","A",0
361,1,19,0,0.144752," ","integrate((x**2+3*x+4)/(-3+x)/(-2+x)/(-1+x),x)","11 \log{\left(x - 3 \right)} - 14 \log{\left(x - 2 \right)} + 4 \log{\left(x - 1 \right)}"," ",0,"11*log(x - 3) - 14*log(x - 2) + 4*log(x - 1)","A",0
362,1,63,0,0.251884," ","integrate((1+16*x)/(5+x)**2/(-3+2*x)/(x**2+x+1),x)","\frac{200 \log{\left(x - \frac{3}{2} \right)}}{3211} + \frac{2731 \log{\left(x + 5 \right)}}{24843} - \frac{481 \log{\left(x^{2} + x + 1 \right)}}{5586} + \frac{451 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{8379} - \frac{79}{273 x + 1365}"," ",0,"200*log(x - 3/2)/3211 + 2731*log(x + 5)/24843 - 481*log(x**2 + x + 1)/5586 + 451*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/8379 - 79/(273*x + 1365)","A",0
363,1,5,0,0.059695," ","integrate((x**3-1)/(x**2+x+1),x)","\frac{x^{2}}{2} - x"," ",0,"x**2/2 - x","A",0
364,1,22,0,0.107683," ","integrate((x**3-3)/(x**2-6*x-7),x)","\frac{x^{2}}{2} + 6 x + \frac{85 \log{\left(x - 7 \right)}}{2} + \frac{\log{\left(x + 1 \right)}}{2}"," ",0,"x**2/2 + 6*x + 85*log(x - 7)/2 + log(x + 1)/2","A",0
365,1,37,0,0.136994," ","integrate((x**3+1)/(x**2+4*x+13)**2,x)","\frac{47 x + 67}{18 x^{2} + 72 x + 234} + \frac{\log{\left(x^{2} + 4 x + 13 \right)}}{2} - \frac{61 \operatorname{atan}{\left(\frac{x}{3} + \frac{2}{3} \right)}}{54}"," ",0,"(47*x + 67)/(18*x**2 + 72*x + 234) + log(x**2 + 4*x + 13)/2 - 61*atan(x/3 + 2/3)/54","A",0
366,1,29,0,0.263085," ","integrate((3*x**5-10*x**4+21*x**3-42*x**2+36*x-32)/x/(x**2+1)/(x**2+4)**2,x)","- 2 \log{\left(x \right)} + \log{\left(x^{2} + 4 \right)} + \frac{\operatorname{atan}{\left(\frac{x}{2} \right)}}{2} + 2 \operatorname{atan}{\left(x \right)} + \frac{1}{x^{2} + 4}"," ",0,"-2*log(x) + log(x**2 + 4) + atan(x/2)/2 + 2*atan(x) + 1/(x**2 + 4)","A",0
367,1,146,0,0.429075," ","integrate((x**9+7*x**5+x**4-1)/(x**8+6*x**4-7),x)","\frac{x^{2}}{2} + \frac{\log{\left(x^{2} - 1 \right)}}{4} - \frac{\log{\left(x^{2} + 1 \right)}}{4} - \frac{\sqrt{2} \sqrt[4]{7} \log{\left(x^{2} - \sqrt{2} \sqrt[4]{7} x + \sqrt{7} \right)}}{56} + \frac{\sqrt{2} \sqrt[4]{7} \log{\left(x^{2} + \sqrt{2} \sqrt[4]{7} x + \sqrt{7} \right)}}{56} + \frac{\sqrt{2} \sqrt[4]{7} \operatorname{atan}{\left(\frac{\sqrt{2} \cdot 7^{\frac{3}{4}} x}{7} - 1 \right)}}{28} + \frac{\sqrt{2} \sqrt[4]{7} \operatorname{atan}{\left(\frac{\sqrt{2} \cdot 7^{\frac{3}{4}} x}{7} + 1 \right)}}{28}"," ",0,"x**2/2 + log(x**2 - 1)/4 - log(x**2 + 1)/4 - sqrt(2)*7**(1/4)*log(x**2 - sqrt(2)*7**(1/4)*x + sqrt(7))/56 + sqrt(2)*7**(1/4)*log(x**2 + sqrt(2)*7**(1/4)*x + sqrt(7))/56 + sqrt(2)*7**(1/4)*atan(sqrt(2)*7**(3/4)*x/7 - 1)/28 + sqrt(2)*7**(1/4)*atan(sqrt(2)*7**(3/4)*x/7 + 1)/28","A",0
368,1,61,0,0.964813," ","integrate((x**6+x**3+1)/(x**5+x),x)","\frac{x^{2}}{2} + \log{\left(x \right)} + \operatorname{RootSum} {\left(256 t^{4} + 256 t^{3} + 128 t^{2} + 16 t + 1, \left( t \mapsto t \log{\left(\frac{1792 t^{4}}{73} + \frac{704 t^{3}}{219} - \frac{3152 t^{2}}{219} - \frac{2584 t}{219} + x - \frac{344}{219} \right)} \right)\right)}"," ",0,"x**2/2 + log(x) + RootSum(256*_t**4 + 256*_t**3 + 128*_t**2 + 16*_t + 1, Lambda(_t, _t*log(1792*_t**4/73 + 704*_t**3/219 - 3152*_t**2/219 - 2584*_t/219 + x - 344/219)))","A",0
369,1,10,0,0.102819," ","integrate((x**2+1)/(x**2-x),x)","x - \log{\left(x \right)} + 2 \log{\left(x - 1 \right)}"," ",0,"x - log(x) + 2*log(x - 1)","A",0
370,1,8,0,0.097805," ","integrate((x**3+1)/(x**3-x),x)","x - \log{\left(x \right)} + \log{\left(x - 1 \right)}"," ",0,"x - log(x) + log(x - 1)","A",0
371,1,14,0,0.107570," ","integrate((x**3+1)/(x**3-x**2),x)","x - \log{\left(x \right)} + 2 \log{\left(x - 1 \right)} + \frac{1}{x}"," ",0,"x - log(x) + 2*log(x - 1) + 1/x","A",0
372,1,14,0,0.099500," ","integrate((x**5-1)/(x**3-x),x)","\frac{x^{3}}{3} + x + \log{\left(x \right)} - \log{\left(x + 1 \right)}"," ",0,"x**3/3 + x + log(x) - log(x + 1)","A",0
373,1,15,0,0.105328," ","integrate((x**4+1)/(x**5+x**3),x)","- \log{\left(x \right)} + \log{\left(x^{2} + 1 \right)} - \frac{1}{2 x^{2}}"," ",0,"-log(x) + log(x**2 + 1) - 1/(2*x**2)","A",0
374,1,7,0,0.086228," ","integrate((x**2+1)/(x**3+2*x**2+x),x)","\log{\left(x \right)} + \frac{2}{x + 1}"," ",0,"log(x) + 2/(x + 1)","A",0
375,1,36,0,0.151293," ","integrate((x**5+1)/(x**3-3*x**2-10*x),x)","\frac{x^{3}}{3} + \frac{3 x^{2}}{2} + 19 x - \frac{\log{\left(x \right)}}{10} + \frac{3126 \log{\left(x - 5 \right)}}{35} - \frac{31 \log{\left(x + 2 \right)}}{14}"," ",0,"x**3/3 + 3*x**2/2 + 19*x - log(x)/10 + 3126*log(x - 5)/35 - 31*log(x + 2)/14","A",0
376,1,51,0,0.212019," ","integrate((x**3+x**2-5*x+15)/(x**2+5)/(x**2+2*x+3),x)","\frac{\log{\left(x^{2} + 2 x + 3 \right)}}{2} - \sqrt{5} \operatorname{atan}{\left(\frac{\sqrt{5} x}{5} \right)} + \frac{5 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} + \frac{\sqrt{2}}{2} \right)}}{2}"," ",0,"log(x**2 + 2*x + 3)/2 - sqrt(5)*atan(sqrt(5)*x/5) + 5*sqrt(2)*atan(sqrt(2)*x/2 + sqrt(2)/2)/2","A",0
377,1,14,0,0.109267," ","integrate(1/(x**2+1)/(3+10*x/(x**2+1)),x)","\frac{\log{\left(x + \frac{1}{3} \right)}}{8} - \frac{\log{\left(x + 3 \right)}}{8}"," ",0,"log(x + 1/3)/8 - log(x + 3)/8","A",0
378,1,34,0,0.119307," ","integrate(x**3/(13+2/x+15*x),x)","\frac{x^{3}}{45} - \frac{13 x^{2}}{450} + \frac{139 x}{3375} + \frac{\log{\left(x + \frac{1}{5} \right)}}{4375} - \frac{16 \log{\left(x + \frac{2}{3} \right)}}{567}"," ",0,"x**3/45 - 13*x**2/450 + 139*x/3375 + log(x + 1/5)/4375 - 16*log(x + 2/3)/567","A",0
379,1,27,0,0.116971," ","integrate(x**2/(13+2/x+15*x),x)","\frac{x^{2}}{30} - \frac{13 x}{225} - \frac{\log{\left(x + \frac{1}{5} \right)}}{875} + \frac{8 \log{\left(x + \frac{2}{3} \right)}}{189}"," ",0,"x**2/30 - 13*x/225 - log(x + 1/5)/875 + 8*log(x + 2/3)/189","A",0
380,1,20,0,0.117072," ","integrate(x/(13+2/x+15*x),x)","\frac{x}{15} + \frac{\log{\left(x + \frac{1}{5} \right)}}{175} - \frac{4 \log{\left(x + \frac{2}{3} \right)}}{63}"," ",0,"x/15 + log(x + 1/5)/175 - 4*log(x + 2/3)/63","A",0
381,1,17,0,0.108536," ","integrate(1/(13+2/x+15*x),x)","- \frac{\log{\left(x + \frac{1}{5} \right)}}{35} + \frac{2 \log{\left(x + \frac{2}{3} \right)}}{21}"," ",0,"-log(x + 1/5)/35 + 2*log(x + 2/3)/21","A",0
382,1,15,0,0.110049," ","integrate(1/x/(13+2/x+15*x),x)","\frac{\log{\left(x + \frac{1}{5} \right)}}{7} - \frac{\log{\left(x + \frac{2}{3} \right)}}{7}"," ",0,"log(x + 1/5)/7 - log(x + 2/3)/7","A",0
383,1,24,0,0.147688," ","integrate(1/x**2/(13+2/x+15*x),x)","\frac{\log{\left(x \right)}}{2} - \frac{5 \log{\left(x + \frac{1}{5} \right)}}{7} + \frac{3 \log{\left(x + \frac{2}{3} \right)}}{14}"," ",0,"log(x)/2 - 5*log(x + 1/5)/7 + 3*log(x + 2/3)/14","A",0
384,1,31,0,0.161858," ","integrate(1/x**3/(13+2/x+15*x),x)","- \frac{13 \log{\left(x \right)}}{4} + \frac{25 \log{\left(x + \frac{1}{5} \right)}}{7} - \frac{9 \log{\left(x + \frac{2}{3} \right)}}{28} - \frac{1}{2 x}"," ",0,"-13*log(x)/4 + 25*log(x + 1/5)/7 - 9*log(x + 2/3)/28 - 1/(2*x)","A",0
385,1,36,0,0.169711," ","integrate(1/x**4/(13+2/x+15*x),x)","\frac{139 \log{\left(x \right)}}{8} - \frac{125 \log{\left(x + \frac{1}{5} \right)}}{7} + \frac{27 \log{\left(x + \frac{2}{3} \right)}}{56} + \frac{13 x - 1}{4 x^{2}}"," ",0,"139*log(x)/8 - 125*log(x + 1/5)/7 + 27*log(x + 2/3)/56 + (13*x - 1)/(4*x**2)","A",0
386,1,41,0,0.181537," ","integrate(1/x**5/(13+2/x+15*x),x)","- \frac{1417 \log{\left(x \right)}}{16} + \frac{625 \log{\left(x + \frac{1}{5} \right)}}{7} - \frac{81 \log{\left(x + \frac{2}{3} \right)}}{112} + \frac{- 417 x^{2} + 39 x - 4}{24 x^{3}}"," ",0,"-1417*log(x)/16 + 625*log(x + 1/5)/7 - 81*log(x + 2/3)/112 + (-417*x**2 + 39*x - 4)/(24*x**3)","A",0
387,1,41,0,0.224873," ","integrate(x**2/(2-(x**2+1)**4),x)","- \operatorname{RootSum} {\left(1073741824 t^{8} - 65536 t^{4} + 1024 t^{2} - 1, \left( t \mapsto t \log{\left(- \frac{67108864 t^{7}}{3} - \frac{262144 t^{5}}{3} - \frac{40 t}{3} + x \right)} \right)\right)}"," ",0,"-RootSum(1073741824*_t**8 - 65536*_t**4 + 1024*_t**2 - 1, Lambda(_t, _t*log(-67108864*_t**7/3 - 262144*_t**5/3 - 40*_t/3 + x)))","A",0
388,1,41,0,0.226505," ","integrate(x**2/(2-(-x**2+1)**4),x)","- \operatorname{RootSum} {\left(1073741824 t^{8} - 65536 t^{4} - 1024 t^{2} - 1, \left( t \mapsto t \log{\left(- \frac{67108864 t^{7}}{3} + \frac{262144 t^{5}}{3} + \frac{40 t}{3} + x \right)} \right)\right)}"," ",0,"-RootSum(1073741824*_t**8 - 65536*_t**4 - 1024*_t**2 - 1, Lambda(_t, _t*log(-67108864*_t**7/3 + 262144*_t**5/3 + 40*_t/3 + x)))","A",0
389,1,39,0,0.210526," ","integrate(x**2/(2+(x**2+1)**4),x)","\operatorname{RootSum} {\left(1073741824 t^{8} + 65536 t^{4} + 1024 t^{2} + 3, \left( t \mapsto t \log{\left(67108864 t^{7} - 262144 t^{5} + 4096 t^{3} + 40 t + x \right)} \right)\right)}"," ",0,"RootSum(1073741824*_t**8 + 65536*_t**4 + 1024*_t**2 + 3, Lambda(_t, _t*log(67108864*_t**7 - 262144*_t**5 + 4096*_t**3 + 40*_t + x)))","A",0
390,1,39,0,0.212029," ","integrate(x**2/(2+(-x**2+1)**4),x)","\operatorname{RootSum} {\left(1073741824 t^{8} + 65536 t^{4} - 1024 t^{2} + 3, \left( t \mapsto t \log{\left(67108864 t^{7} + 262144 t^{5} + 4096 t^{3} - 40 t + x \right)} \right)\right)}"," ",0,"RootSum(1073741824*_t**8 + 65536*_t**4 - 1024*_t**2 + 3, Lambda(_t, _t*log(67108864*_t**7 + 262144*_t**5 + 4096*_t**3 - 40*_t + x)))","A",0
391,1,133,0,3.924428," ","integrate((-x**2+1)/(a+b*(-x**2+1)**4),x)","- \operatorname{RootSum} {\left(t^{8} \left(16777216 a^{5} b^{3} + 16777216 a^{4} b^{4}\right) + 1048576 t^{6} a^{3} b^{3} + 24576 t^{4} a^{2} b^{2} + 256 t^{2} a b + 1, \left( t \mapsto t \log{\left(- 6291456 t^{7} a^{4} b^{3} - 6291456 t^{7} a^{3} b^{4} + 65536 t^{5} a^{3} b^{2} - 327680 t^{5} a^{2} b^{3} - 512 t^{3} a^{2} b - 5632 t^{3} a b^{2} - 32 t b + x \right)} \right)\right)}"," ",0,"-RootSum(_t**8*(16777216*a**5*b**3 + 16777216*a**4*b**4) + 1048576*_t**6*a**3*b**3 + 24576*_t**4*a**2*b**2 + 256*_t**2*a*b + 1, Lambda(_t, _t*log(-6291456*_t**7*a**4*b**3 - 6291456*_t**7*a**3*b**4 + 65536*_t**5*a**3*b**2 - 327680*_t**5*a**2*b**3 - 512*_t**3*a**2*b - 5632*_t**3*a*b**2 - 32*_t*b + x)))","A",0
392,1,133,0,3.919858," ","integrate((-x**2+1)/(a+b*(x**2-1)**4),x)","- \operatorname{RootSum} {\left(t^{8} \left(16777216 a^{5} b^{3} + 16777216 a^{4} b^{4}\right) + 1048576 t^{6} a^{3} b^{3} + 24576 t^{4} a^{2} b^{2} + 256 t^{2} a b + 1, \left( t \mapsto t \log{\left(- 6291456 t^{7} a^{4} b^{3} - 6291456 t^{7} a^{3} b^{4} + 65536 t^{5} a^{3} b^{2} - 327680 t^{5} a^{2} b^{3} - 512 t^{3} a^{2} b - 5632 t^{3} a b^{2} - 32 t b + x \right)} \right)\right)}"," ",0,"-RootSum(_t**8*(16777216*a**5*b**3 + 16777216*a**4*b**4) + 1048576*_t**6*a**3*b**3 + 24576*_t**4*a**2*b**2 + 256*_t**2*a*b + 1, Lambda(_t, _t*log(-6291456*_t**7*a**4*b**3 - 6291456*_t**7*a**3*b**4 + 65536*_t**5*a**3*b**2 - 327680*_t**5*a**2*b**3 - 512*_t**3*a**2*b - 5632*_t**3*a*b**2 - 32*_t*b + x)))","A",0
393,1,42,0,1.866040," ","integrate((x**2+1)**2/(a*x**6+b*(x**2+1)**3),x)","\operatorname{RootSum} {\left(t^{6} \left(46656 a b^{5} + 46656 b^{6}\right) + 3888 t^{4} b^{4} + 108 t^{2} b^{2} + 1, \left( t \mapsto t \log{\left(6 t b + x \right)} \right)\right)}"," ",0,"RootSum(_t**6*(46656*a*b**5 + 46656*b**6) + 3888*_t**4*b**4 + 108*_t**2*b**2 + 1, Lambda(_t, _t*log(6*_t*b + x)))","A",0
394,1,384,0,5.289307," ","integrate((e*x+d)**3/(c*x**4+a),x)","\operatorname{RootSum} {\left(256 t^{4} a^{3} c^{4} - 256 t^{3} a^{3} c^{3} e^{3} + t^{2} \left(96 a^{3} c^{2} e^{6} + 480 a^{2} c^{3} d^{4} e^{2}\right) + t \left(- 16 a^{3} c e^{9} + 192 a^{2} c^{2} d^{4} e^{5} - 48 a c^{3} d^{8} e\right) + a^{3} e^{12} + 3 a^{2} c d^{4} e^{8} + 3 a c^{2} d^{8} e^{4} + c^{3} d^{12}, \left( t \mapsto t \log{\left(x + \frac{1728 t^{3} a^{4} c^{3} e^{6} + 960 t^{3} a^{3} c^{4} d^{4} e^{2} - 1296 t^{2} a^{4} c^{2} e^{9} - 2016 t^{2} a^{3} c^{3} d^{4} e^{5} + 48 t^{2} a^{2} c^{4} d^{8} e + 324 t a^{4} c e^{12} + 4716 t a^{3} c^{2} d^{4} e^{8} + 1452 t a^{2} c^{3} d^{8} e^{4} + 4 t a c^{4} d^{12} - 27 a^{4} e^{15} + 1119 a^{3} c d^{4} e^{11} - 609 a^{2} c^{2} d^{8} e^{7} - 91 a c^{3} d^{12} e^{3}}{729 a^{3} c d^{3} e^{12} - 1053 a^{2} c^{2} d^{7} e^{8} - 117 a c^{3} d^{11} e^{4} + c^{4} d^{15}} \right)} \right)\right)}"," ",0,"RootSum(256*_t**4*a**3*c**4 - 256*_t**3*a**3*c**3*e**3 + _t**2*(96*a**3*c**2*e**6 + 480*a**2*c**3*d**4*e**2) + _t*(-16*a**3*c*e**9 + 192*a**2*c**2*d**4*e**5 - 48*a*c**3*d**8*e) + a**3*e**12 + 3*a**2*c*d**4*e**8 + 3*a*c**2*d**8*e**4 + c**3*d**12, Lambda(_t, _t*log(x + (1728*_t**3*a**4*c**3*e**6 + 960*_t**3*a**3*c**4*d**4*e**2 - 1296*_t**2*a**4*c**2*e**9 - 2016*_t**2*a**3*c**3*d**4*e**5 + 48*_t**2*a**2*c**4*d**8*e + 324*_t*a**4*c*e**12 + 4716*_t*a**3*c**2*d**4*e**8 + 1452*_t*a**2*c**3*d**8*e**4 + 4*_t*a*c**4*d**12 - 27*a**4*e**15 + 1119*a**3*c*d**4*e**11 - 609*a**2*c**2*d**8*e**7 - 91*a*c**3*d**12*e**3)/(729*a**3*c*d**3*e**12 - 1053*a**2*c**2*d**7*e**8 - 117*a*c**3*d**11*e**4 + c**4*d**15))))","A",0
395,1,277,0,2.678036," ","integrate((e*x+d)**2/(c*x**4+a),x)","\operatorname{RootSum} {\left(256 t^{4} a^{3} c^{3} + 192 t^{2} a^{2} c^{2} d^{2} e^{2} + t \left(32 a^{2} c d e^{5} - 32 a c^{2} d^{5} e\right) + a^{2} e^{8} + 2 a c d^{4} e^{4} + c^{2} d^{8}, \left( t \mapsto t \log{\left(x + \frac{64 t^{3} a^{4} c^{2} e^{6} + 448 t^{3} a^{3} c^{3} d^{4} e^{2} - 160 t^{2} a^{3} c^{2} d^{3} e^{5} + 32 t^{2} a^{2} c^{3} d^{7} e + 60 t a^{3} c d^{2} e^{8} + 256 t a^{2} c^{2} d^{6} e^{4} + 4 t a c^{3} d^{10} + 6 a^{3} d e^{11} - 24 a^{2} c d^{5} e^{7} - 30 a c^{2} d^{9} e^{3}}{a^{3} e^{12} - 33 a^{2} c d^{4} e^{8} - 33 a c^{2} d^{8} e^{4} + c^{3} d^{12}} \right)} \right)\right)}"," ",0,"RootSum(256*_t**4*a**3*c**3 + 192*_t**2*a**2*c**2*d**2*e**2 + _t*(32*a**2*c*d*e**5 - 32*a*c**2*d**5*e) + a**2*e**8 + 2*a*c*d**4*e**4 + c**2*d**8, Lambda(_t, _t*log(x + (64*_t**3*a**4*c**2*e**6 + 448*_t**3*a**3*c**3*d**4*e**2 - 160*_t**2*a**3*c**2*d**3*e**5 + 32*_t**2*a**2*c**3*d**7*e + 60*_t*a**3*c*d**2*e**8 + 256*_t*a**2*c**2*d**6*e**4 + 4*_t*a*c**3*d**10 + 6*a**3*d*e**11 - 24*a**2*c*d**5*e**7 - 30*a*c**2*d**9*e**3)/(a**3*e**12 - 33*a**2*c*d**4*e**8 - 33*a*c**2*d**8*e**4 + c**3*d**12))))","A",0
396,1,124,0,0.823332," ","integrate((e*x+d)/(c*x**4+a),x)","\operatorname{RootSum} {\left(256 t^{4} a^{3} c^{2} + 32 t^{2} a^{2} c e^{2} - 16 t a c d^{2} e + a e^{4} + c d^{4}, \left( t \mapsto t \log{\left(x + \frac{- 128 t^{3} a^{3} c e^{2} - 16 t^{2} a^{2} c d^{2} e - 8 t a^{2} e^{4} - 4 t a c d^{4} + 5 a d^{2} e^{3}}{4 a d e^{4} - c d^{5}} \right)} \right)\right)}"," ",0,"RootSum(256*_t**4*a**3*c**2 + 32*_t**2*a**2*c*e**2 - 16*_t*a*c*d**2*e + a*e**4 + c*d**4, Lambda(_t, _t*log(x + (-128*_t**3*a**3*c*e**2 - 16*_t**2*a**2*c*d**2*e - 8*_t*a**2*e**4 - 4*_t*a*c*d**4 + 5*a*d**2*e**3)/(4*a*d*e**4 - c*d**5))))","A",0
397,1,20,0,0.160867," ","integrate(1/(c*x**4+a),x)","\operatorname{RootSum} {\left(256 t^{4} a^{3} c + 1, \left( t \mapsto t \log{\left(4 t a + x \right)} \right)\right)}"," ",0,"RootSum(256*_t**4*a**3*c + 1, Lambda(_t, _t*log(4*_t*a + x)))","A",0
398,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
399,-1,0,0,0.000000," ","integrate(1/(e*x+d)**2/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
400,-1,0,0,0.000000," ","integrate(1/(e*x+d)**3/(c*x**4+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
401,1,350,0,8.334086," ","integrate((e*x+d)**3/(c*x**4+a)**2,x)","\operatorname{RootSum} {\left(65536 t^{4} a^{7} c^{3} + 27648 t^{2} a^{4} c^{2} d^{4} e^{2} + t \left(3456 a^{3} c d^{4} e^{5} - 3456 a^{2} c^{2} d^{8} e\right) + 81 a^{2} d^{4} e^{8} + 162 a c d^{8} e^{4} + 81 c^{2} d^{12}, \left( t \mapsto t \log{\left(x + \frac{4096 t^{3} a^{7} c^{2} e^{6} + 28672 t^{3} a^{6} c^{3} d^{4} e^{2} - 7680 t^{2} a^{5} c^{2} d^{4} e^{5} + 1536 t^{2} a^{4} c^{3} d^{8} e + 2160 t a^{4} c d^{4} e^{8} + 9216 t a^{3} c^{2} d^{8} e^{4} + 144 t a^{2} c^{3} d^{12} + 162 a^{3} d^{4} e^{11} - 648 a^{2} c d^{8} e^{7} - 810 a c^{2} d^{12} e^{3}}{27 a^{3} d^{3} e^{12} - 891 a^{2} c d^{7} e^{8} - 891 a c^{2} d^{11} e^{4} + 27 c^{3} d^{15}} \right)} \right)\right)} + \frac{- a e^{3} + c d^{3} x + 3 c d^{2} e x^{2} + 3 c d e^{2} x^{3}}{4 a^{2} c + 4 a c^{2} x^{4}}"," ",0,"RootSum(65536*_t**4*a**7*c**3 + 27648*_t**2*a**4*c**2*d**4*e**2 + _t*(3456*a**3*c*d**4*e**5 - 3456*a**2*c**2*d**8*e) + 81*a**2*d**4*e**8 + 162*a*c*d**8*e**4 + 81*c**2*d**12, Lambda(_t, _t*log(x + (4096*_t**3*a**7*c**2*e**6 + 28672*_t**3*a**6*c**3*d**4*e**2 - 7680*_t**2*a**5*c**2*d**4*e**5 + 1536*_t**2*a**4*c**3*d**8*e + 2160*_t*a**4*c*d**4*e**8 + 9216*_t*a**3*c**2*d**8*e**4 + 144*_t*a**2*c**3*d**12 + 162*a**3*d**4*e**11 - 648*a**2*c*d**8*e**7 - 810*a*c**2*d**12*e**3)/(27*a**3*d**3*e**12 - 891*a**2*c*d**7*e**8 - 891*a*c**2*d**11*e**4 + 27*c**3*d**15)))) + (-a*e**3 + c*d**3*x + 3*c*d**2*e*x**2 + 3*c*d*e**2*x**3)/(4*a**2*c + 4*a*c**2*x**4)","A",0
402,1,318,0,3.520563," ","integrate((e*x+d)**2/(c*x**4+a)**2,x)","\operatorname{RootSum} {\left(65536 t^{4} a^{7} c^{3} + 11264 t^{2} a^{4} c^{2} d^{2} e^{2} + t \left(256 a^{3} c d e^{5} - 2304 a^{2} c^{2} d^{5} e\right) + a^{2} e^{8} + 82 a c d^{4} e^{4} + 81 c^{2} d^{8}, \left( t \mapsto t \log{\left(x + \frac{4096 t^{3} a^{7} c^{2} e^{6} + 356352 t^{3} a^{6} c^{3} d^{4} e^{2} - 23552 t^{2} a^{5} c^{2} d^{3} e^{5} + 27648 t^{2} a^{4} c^{3} d^{7} e + 912 t a^{4} c d^{2} e^{8} + 43584 t a^{3} c^{2} d^{6} e^{4} + 3888 t a^{2} c^{3} d^{10} + 12 a^{3} d e^{11} - 1088 a^{2} c d^{5} e^{7} - 7020 a c^{2} d^{9} e^{3}}{a^{3} e^{12} - 649 a^{2} c d^{4} e^{8} - 5841 a c^{2} d^{8} e^{4} + 729 c^{3} d^{12}} \right)} \right)\right)} + \frac{d^{2} x + 2 d e x^{2} + e^{2} x^{3}}{4 a^{2} + 4 a c x^{4}}"," ",0,"RootSum(65536*_t**4*a**7*c**3 + 11264*_t**2*a**4*c**2*d**2*e**2 + _t*(256*a**3*c*d*e**5 - 2304*a**2*c**2*d**5*e) + a**2*e**8 + 82*a*c*d**4*e**4 + 81*c**2*d**8, Lambda(_t, _t*log(x + (4096*_t**3*a**7*c**2*e**6 + 356352*_t**3*a**6*c**3*d**4*e**2 - 23552*_t**2*a**5*c**2*d**3*e**5 + 27648*_t**2*a**4*c**3*d**7*e + 912*_t*a**4*c*d**2*e**8 + 43584*_t*a**3*c**2*d**6*e**4 + 3888*_t*a**2*c**3*d**10 + 12*a**3*d*e**11 - 1088*a**2*c*d**5*e**7 - 7020*a*c**2*d**9*e**3)/(a**3*e**12 - 649*a**2*c*d**4*e**8 - 5841*a*c**2*d**8*e**4 + 729*c**3*d**12)))) + (d**2*x + 2*d*e*x**2 + e**2*x**3)/(4*a**2 + 4*a*c*x**4)","A",0
403,1,155,0,1.091811," ","integrate((e*x+d)/(c*x**4+a)**2,x)","\operatorname{RootSum} {\left(65536 t^{4} a^{7} c^{2} + 2048 t^{2} a^{4} c e^{2} - 1152 t a^{2} c d^{2} e + 16 a e^{4} + 81 c d^{4}, \left( t \mapsto t \log{\left(x + \frac{- 32768 t^{3} a^{6} c e^{2} - 4608 t^{2} a^{4} c d^{2} e - 512 t a^{3} e^{4} - 1296 t a^{2} c d^{4} + 360 a d^{2} e^{3}}{192 a d e^{4} - 243 c d^{5}} \right)} \right)\right)} + \frac{d x + e x^{2}}{4 a^{2} + 4 a c x^{4}}"," ",0,"RootSum(65536*_t**4*a**7*c**2 + 2048*_t**2*a**4*c*e**2 - 1152*_t*a**2*c*d**2*e + 16*a*e**4 + 81*c*d**4, Lambda(_t, _t*log(x + (-32768*_t**3*a**6*c*e**2 - 4608*_t**2*a**4*c*d**2*e - 512*_t*a**3*e**4 - 1296*_t*a**2*c*d**4 + 360*a*d**2*e**3)/(192*a*d*e**4 - 243*c*d**5)))) + (d*x + e*x**2)/(4*a**2 + 4*a*c*x**4)","A",0
404,1,39,0,0.297346," ","integrate(1/(c*x**4+a)**2,x)","\frac{x}{4 a^{2} + 4 a c x^{4}} + \operatorname{RootSum} {\left(65536 t^{4} a^{7} c + 81, \left( t \mapsto t \log{\left(\frac{16 t a^{2}}{3} + x \right)} \right)\right)}"," ",0,"x/(4*a**2 + 4*a*c*x**4) + RootSum(65536*_t**4*a**7*c + 81, Lambda(_t, _t*log(16*_t*a**2/3 + x)))","A",0
405,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
406,-1,0,0,0.000000," ","integrate(1/(e*x+d)**2/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
407,-1,0,0,0.000000," ","integrate(1/(e*x+d)**3/(c*x**4+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
408,1,413,0,8.012743," ","integrate((e*x+d)**3/(c*x**4+a)**3,x)","\operatorname{RootSum} {\left(268435456 t^{4} a^{11} c^{3} + 63111168 t^{2} a^{6} c^{2} d^{4} e^{2} + t \left(4147200 a^{4} c d^{4} e^{5} - 8128512 a^{3} c^{2} d^{8} e\right) + 50625 a^{2} d^{4} e^{8} + 245106 a c d^{8} e^{4} + 194481 c^{2} d^{12}, \left( t \mapsto t \log{\left(x + \frac{262144000 t^{3} a^{10} c^{2} e^{6} + 3714056192 t^{3} a^{9} c^{3} d^{4} e^{2} - 539688960 t^{2} a^{7} c^{2} d^{4} e^{5} + 202309632 t^{2} a^{6} c^{3} d^{8} e + 77328000 t a^{5} c d^{4} e^{8} + 660699648 t a^{4} c^{2} d^{8} e^{4} + 19361664 t a^{3} c^{3} d^{12} + 3037500 a^{3} d^{4} e^{11} - 26360640 a^{2} c d^{8} e^{7} - 60566940 a c^{2} d^{12} e^{3}}{421875 a^{3} d^{3} e^{12} - 29598075 a^{2} c d^{7} e^{8} - 58012227 a c^{2} d^{11} e^{4} + 3176523 c^{3} d^{15}} \right)} \right)\right)} + \frac{- 4 a^{2} e^{3} + 11 a c d^{3} x + 30 a c d^{2} e x^{2} + 27 a c d e^{2} x^{3} + 7 c^{2} d^{3} x^{5} + 18 c^{2} d^{2} e x^{6} + 15 c^{2} d e^{2} x^{7}}{32 a^{4} c + 64 a^{3} c^{2} x^{4} + 32 a^{2} c^{3} x^{8}}"," ",0,"RootSum(268435456*_t**4*a**11*c**3 + 63111168*_t**2*a**6*c**2*d**4*e**2 + _t*(4147200*a**4*c*d**4*e**5 - 8128512*a**3*c**2*d**8*e) + 50625*a**2*d**4*e**8 + 245106*a*c*d**8*e**4 + 194481*c**2*d**12, Lambda(_t, _t*log(x + (262144000*_t**3*a**10*c**2*e**6 + 3714056192*_t**3*a**9*c**3*d**4*e**2 - 539688960*_t**2*a**7*c**2*d**4*e**5 + 202309632*_t**2*a**6*c**3*d**8*e + 77328000*_t*a**5*c*d**4*e**8 + 660699648*_t*a**4*c**2*d**8*e**4 + 19361664*_t*a**3*c**3*d**12 + 3037500*a**3*d**4*e**11 - 26360640*a**2*c*d**8*e**7 - 60566940*a*c**2*d**12*e**3)/(421875*a**3*d**3*e**12 - 29598075*a**2*c*d**7*e**8 - 58012227*a*c**2*d**11*e**4 + 3176523*c**3*d**15)))) + (-4*a**2*e**3 + 11*a*c*d**3*x + 30*a*c*d**2*e*x**2 + 27*a*c*d*e**2*x**3 + 7*c**2*d**3*x**5 + 18*c**2*d**2*e*x**6 + 15*c**2*d*e**2*x**7)/(32*a**4*c + 64*a**3*c**2*x**4 + 32*a**2*c**3*x**8)","A",0
409,1,374,0,4.877843," ","integrate((e*x+d)**2/(c*x**4+a)**3,x)","\operatorname{RootSum} {\left(268435456 t^{4} a^{11} c^{3} + 25755648 t^{2} a^{6} c^{2} d^{2} e^{2} + t \left(307200 a^{4} c d e^{5} - 5419008 a^{3} c^{2} d^{5} e\right) + 625 a^{2} e^{8} + 111906 a c d^{4} e^{4} + 194481 c^{2} d^{8}, \left( t \mapsto t \log{\left(x + \frac{262144000 t^{3} a^{10} c^{2} e^{6} + 46110081024 t^{3} a^{9} c^{3} d^{4} e^{2} - 1645608960 t^{2} a^{7} c^{2} d^{3} e^{5} + 3641573376 t^{2} a^{6} c^{3} d^{7} e + 32688000 t a^{5} c d^{2} e^{8} + 3128219136 t a^{4} c^{2} d^{6} e^{4} + 522764928 t a^{3} c^{3} d^{10} + 225000 a^{3} d e^{11} - 43338240 a^{2} c d^{5} e^{7} - 523431720 a c^{2} d^{9} e^{3}}{15625 a^{3} e^{12} - 21357225 a^{2} c d^{4} e^{8} - 376741449 a c^{2} d^{8} e^{4} + 85766121 c^{3} d^{12}} \right)} \right)\right)} + \frac{11 a d^{2} x + 20 a d e x^{2} + 9 a e^{2} x^{3} + 7 c d^{2} x^{5} + 12 c d e x^{6} + 5 c e^{2} x^{7}}{32 a^{4} + 64 a^{3} c x^{4} + 32 a^{2} c^{2} x^{8}}"," ",0,"RootSum(268435456*_t**4*a**11*c**3 + 25755648*_t**2*a**6*c**2*d**2*e**2 + _t*(307200*a**4*c*d*e**5 - 5419008*a**3*c**2*d**5*e) + 625*a**2*e**8 + 111906*a*c*d**4*e**4 + 194481*c**2*d**8, Lambda(_t, _t*log(x + (262144000*_t**3*a**10*c**2*e**6 + 46110081024*_t**3*a**9*c**3*d**4*e**2 - 1645608960*_t**2*a**7*c**2*d**3*e**5 + 3641573376*_t**2*a**6*c**3*d**7*e + 32688000*_t*a**5*c*d**2*e**8 + 3128219136*_t*a**4*c**2*d**6*e**4 + 522764928*_t*a**3*c**3*d**10 + 225000*a**3*d*e**11 - 43338240*a**2*c*d**5*e**7 - 523431720*a*c**2*d**9*e**3)/(15625*a**3*e**12 - 21357225*a**2*c*d**4*e**8 - 376741449*a*c**2*d**8*e**4 + 85766121*c**3*d**12)))) + (11*a*d**2*x + 20*a*d*e*x**2 + 9*a*e**2*x**3 + 7*c*d**2*x**5 + 12*c*d*e*x**6 + 5*c*e**2*x**7)/(32*a**4 + 64*a**3*c*x**4 + 32*a**2*c**2*x**8)","A",0
410,1,192,0,1.482501," ","integrate((e*x+d)/(c*x**4+a)**3,x)","\operatorname{RootSum} {\left(268435456 t^{4} a^{11} c^{2} + 4718592 t^{2} a^{6} c e^{2} - 2709504 t a^{3} c d^{2} e + 20736 a e^{4} + 194481 c d^{4}, \left( t \mapsto t \log{\left(x + \frac{- 67108864 t^{3} a^{9} c e^{2} - 9633792 t^{2} a^{6} c d^{2} e - 589824 t a^{4} e^{4} - 2765952 t a^{3} c d^{4} + 423360 a d^{2} e^{3}}{193536 a d e^{4} - 453789 c d^{5}} \right)} \right)\right)} + \frac{11 a d x + 10 a e x^{2} + 7 c d x^{5} + 6 c e x^{6}}{32 a^{4} + 64 a^{3} c x^{4} + 32 a^{2} c^{2} x^{8}}"," ",0,"RootSum(268435456*_t**4*a**11*c**2 + 4718592*_t**2*a**6*c*e**2 - 2709504*_t*a**3*c*d**2*e + 20736*a*e**4 + 194481*c*d**4, Lambda(_t, _t*log(x + (-67108864*_t**3*a**9*c*e**2 - 9633792*_t**2*a**6*c*d**2*e - 589824*_t*a**4*e**4 - 2765952*_t*a**3*c*d**4 + 423360*a*d**2*e**3)/(193536*a*d*e**4 - 453789*c*d**5)))) + (11*a*d*x + 10*a*e*x**2 + 7*c*d*x**5 + 6*c*e*x**6)/(32*a**4 + 64*a**3*c*x**4 + 32*a**2*c**2*x**8)","A",0
411,1,63,0,0.460999," ","integrate(1/(c*x**4+a)**3,x)","\frac{11 a x + 7 c x^{5}}{32 a^{4} + 64 a^{3} c x^{4} + 32 a^{2} c^{2} x^{8}} + \operatorname{RootSum} {\left(268435456 t^{4} a^{11} c + 194481, \left( t \mapsto t \log{\left(\frac{128 t a^{3}}{21} + x \right)} \right)\right)}"," ",0,"(11*a*x + 7*c*x**5)/(32*a**4 + 64*a**3*c*x**4 + 32*a**2*c**2*x**8) + RootSum(268435456*_t**4*a**11*c + 194481, Lambda(_t, _t*log(128*_t*a**3/21 + x)))","A",0
412,-1,0,0,0.000000," ","integrate(1/(e*x+d)/(c*x**4+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
413,-1,0,0,0.000000," ","integrate(1/(e*x+d)**2/(c*x**4+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
414,-1,0,0,0.000000," ","integrate(1/(e*x+d)**3/(c*x**4+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
415,1,34,0,0.112217," ","integrate((-1+x)/(x**2-x+1),x)","\frac{\log{\left(x^{2} - x + 1 \right)}}{2} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} - \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"log(x**2 - x + 1)/2 - sqrt(3)*atan(2*sqrt(3)*x/3 - sqrt(3)/3)/3","A",0
416,1,34,0,0.115221," ","integrate((x**2-1)/(x**3+1),x)","\frac{\log{\left(x^{2} - x + 1 \right)}}{2} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} - \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"log(x**2 - x + 1)/2 - sqrt(3)*atan(2*sqrt(3)*x/3 - sqrt(3)/3)/3","A",0
417,1,36,0,0.116372," ","integrate((-4+3*x)/(x**2-2*x+4),x)","\frac{3 \log{\left(x^{2} - 2 x + 4 \right)}}{2} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} x}{3} - \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"3*log(x**2 - 2*x + 4)/2 - sqrt(3)*atan(sqrt(3)*x/3 - sqrt(3)/3)/3","A",0
418,1,36,0,0.120268," ","integrate((3*x**2+2*x-8)/(x**3+8),x)","\frac{3 \log{\left(x^{2} - 2 x + 4 \right)}}{2} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} x}{3} - \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"3*log(x**2 - 2*x + 4)/2 - sqrt(3)*atan(sqrt(3)*x/3 - sqrt(3)/3)/3","A",0
419,1,39,0,0.111037," ","integrate((2+x)/(x**2+2*x-1),x)","\left(\frac{1}{2} - \frac{\sqrt{2}}{4}\right) \log{\left(x + 1 + \sqrt{2} \right)} + \left(\frac{\sqrt{2}}{4} + \frac{1}{2}\right) \log{\left(x - \sqrt{2} + 1 \right)}"," ",0,"(1/2 - sqrt(2)/4)*log(x + 1 + sqrt(2)) + (sqrt(2)/4 + 1/2)*log(x - sqrt(2) + 1)","A",0
420,1,39,0,0.117747," ","integrate((x**2-4)/(x**3-5*x+2),x)","\left(\frac{1}{2} - \frac{\sqrt{2}}{4}\right) \log{\left(x + 1 + \sqrt{2} \right)} + \left(\frac{\sqrt{2}}{4} + \frac{1}{2}\right) \log{\left(x - \sqrt{2} + 1 \right)}"," ",0,"(1/2 - sqrt(2)/4)*log(x + 1 + sqrt(2)) + (sqrt(2)/4 + 1/2)*log(x - sqrt(2) + 1)","A",0
421,1,15,0,0.093726," ","integrate(2/(4*x**2-1),x)","\frac{\log{\left(x - \frac{1}{2} \right)}}{2} - \frac{\log{\left(x + \frac{1}{2} \right)}}{2}"," ",0,"log(x - 1/2)/2 - log(x + 1/2)/2","B",0
422,1,15,0,0.098403," ","integrate(1/(-1+2*x)-1/(1+2*x),x)","\frac{\log{\left(x - \frac{1}{2} \right)}}{2} - \frac{\log{\left(x + \frac{1}{2} \right)}}{2}"," ",0,"log(x - 1/2)/2 - log(x + 1/2)/2","A",0
423,1,22,0,0.124634," ","integrate(x/(-x**2+1)**5,x)","\frac{1}{8 x^{8} - 32 x^{6} + 48 x^{4} - 32 x^{2} + 8}"," ",0,"1/(8*x**8 - 32*x**6 + 48*x**4 - 32*x**2 + 8)","B",0
424,1,22,0,0.314172," ","integrate(-1/32/(-1+x)**5+3/64/(-1+x)**4-5/128/(-1+x)**3+5/256/(-1+x)**2-1/32/(1+x)**5-3/64/(1+x)**4-5/128/(1+x)**3-5/256/(1+x)**2,x)","\frac{1}{8 x^{8} - 32 x^{6} + 48 x^{4} - 32 x^{2} + 8}"," ",0,"1/(8*x**8 - 32*x**6 + 48*x**4 - 32*x**2 + 8)","B",0
425,1,85,0,0.249594," ","integrate((x**6+1)/(x**6-1),x)","x + \frac{\log{\left(x - 1 \right)}}{3} - \frac{\log{\left(x + 1 \right)}}{3} + \frac{\log{\left(x^{2} - x + 1 \right)}}{6} - \frac{\log{\left(x^{2} + x + 1 \right)}}{6} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} - \frac{\sqrt{3}}{3} \right)}}{3} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"x + log(x - 1)/3 - log(x + 1)/3 + log(x**2 - x + 1)/6 - log(x**2 + x + 1)/6 - sqrt(3)*atan(2*sqrt(3)*x/3 - sqrt(3)/3)/3 - sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/3","A",0
426,1,85,0,0.253726," ","integrate((1/x**3+x**3)/(-1/x**3+x**3),x)","x + \frac{\log{\left(x - 1 \right)}}{3} - \frac{\log{\left(x + 1 \right)}}{3} + \frac{\log{\left(x^{2} - x + 1 \right)}}{6} - \frac{\log{\left(x^{2} + x + 1 \right)}}{6} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} - \frac{\sqrt{3}}{3} \right)}}{3} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"x + log(x - 1)/3 - log(x + 1)/3 + log(x**2 - x + 1)/6 - log(x**2 + x + 1)/6 - sqrt(3)*atan(2*sqrt(3)*x/3 - sqrt(3)/3)/3 - sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/3","A",0
427,1,20,0,0.078047," ","integrate((x**3-x)/(6+2*x),x)","\frac{x^{3}}{6} - \frac{3 x^{2}}{4} + 4 x - 12 \log{\left(x + 3 \right)}"," ",0,"x**3/6 - 3*x**2/4 + 4*x - 12*log(x + 3)","A",0
428,1,19,0,0.073166," ","integrate((x**3+x)/(-1+x),x)","\frac{x^{3}}{3} + \frac{x^{2}}{2} + 2 x + 2 \log{\left(x - 1 \right)}"," ",0,"x**3/3 + x**2/2 + 2*x + 2*log(x - 1)","A",0
429,1,15,0,0.057387," ","integrate(a*c+(b*c+d)*x,x)","a c x + x^{2} \left(\frac{b c}{2} + \frac{d}{2}\right)"," ",0,"a*c*x + x**2*(b*c/2 + d/2)","A",0
430,1,15,0,0.057829," ","integrate(d*x+c*(b*x+a),x)","a c x + x^{2} \left(\frac{b c}{2} + \frac{d}{2}\right)"," ",0,"a*c*x + x**2*(b*c/2 + d/2)","A",0
431,1,20,0,0.131933," ","integrate((4+4*x)/x**2/(x**2+1),x)","4 \log{\left(x \right)} - 2 \log{\left(x^{2} + 1 \right)} - 4 \operatorname{atan}{\left(x \right)} - \frac{4}{x}"," ",0,"4*log(x) - 2*log(x**2 + 1) - 4*atan(x) - 4/x","A",0
432,1,15,0,0.130248," ","integrate((24+8*x)/x/(x**2-4),x)","- 6 \log{\left(x \right)} + 5 \log{\left(x - 2 \right)} + \log{\left(x + 2 \right)}"," ",0,"-6*log(x) + 5*log(x - 2) + log(x + 2)","A",0
433,1,12,0,0.095710," ","integrate((x**2-1)/(x**3-2*x),x)","\frac{\log{\left(x \right)}}{2} + \frac{\log{\left(x^{2} - 2 \right)}}{4}"," ",0,"log(x)/2 + log(x**2 - 2)/4","A",0
434,1,8,0,0.088878," ","integrate((x**2+1)/(x**3+3*x),x)","\frac{\log{\left(x^{3} + 3 x \right)}}{3}"," ",0,"log(x**3 + 3*x)/3","A",0
435,1,8,0,0.132283," ","integrate((3*b*x**2+a)/(b*x**3+a*x),x)","\log{\left(a x + b x^{3} \right)}"," ",0,"log(a*x + b*x**3)","A",0
436,1,15,0,0.125308," ","integrate((-2+4*x)/(x**3-x),x)","2 \log{\left(x \right)} + \log{\left(x - 1 \right)} - 3 \log{\left(x + 1 \right)}"," ",0,"2*log(x) + log(x - 1) - 3*log(x + 1)","A",0
437,1,17,0,0.128331," ","integrate((4+x)/(x**3+4*x),x)","\log{\left(x \right)} - \frac{\log{\left(x^{2} + 4 \right)}}{2} + \frac{\operatorname{atan}{\left(\frac{x}{2} \right)}}{2}"," ",0,"log(x) - log(x**2 + 4)/2 + atan(x/2)/2","A",0
438,1,10,0,0.092425," ","integrate((2*x**3-x)/(x**4-x**2+1),x)","\frac{\log{\left(x^{4} - x^{2} + 1 \right)}}{2}"," ",0,"log(x**4 - x**2 + 1)/2","A",0
439,1,20,0,0.131490," ","integrate((-3+x)/(x**3+3*x**2+2*x),x)","- \frac{3 \log{\left(x \right)}}{2} + 4 \log{\left(x + 1 \right)} - \frac{5 \log{\left(x + 2 \right)}}{2}"," ",0,"-3*log(x)/2 + 4*log(x + 1) - 5*log(x + 2)/2","A",0
440,1,7,0,0.083386," ","integrate((2+4*x)/(x**4+2*x**3+x**2),x)","- \frac{2}{x^{2} + x}"," ",0,"-2/(x**2 + x)","A",0
441,1,20,0,0.131837," ","integrate((1+x)/(x**3+x**2-6*x),x)","- \frac{\log{\left(x \right)}}{6} + \frac{3 \log{\left(x - 2 \right)}}{10} - \frac{2 \log{\left(x + 3 \right)}}{15}"," ",0,"-log(x)/6 + 3*log(x - 2)/10 - 2*log(x + 3)/15","A",0
442,1,12,0,0.104826," ","integrate((x**3+4*x**2)/(x**3+x),x)","x + 2 \log{\left(x^{2} + 1 \right)} - \operatorname{atan}{\left(x \right)}"," ",0,"x + 2*log(x**2 + 1) - atan(x)","A",0
443,1,17,0,0.130118," ","integrate((2*x**3+x)/(x**4+x**2)**3,x)","- \frac{1}{4 x^{8} + 8 x^{6} + 4 x^{4}}"," ",0,"-1/(4*x**8 + 8*x**6 + 4*x**4)","A",0
444,1,20,0,0.153889," ","integrate((b*x**3+a*x**2)/(d*x**3+c*x**2),x)","\frac{b x}{d} + \frac{\left(a d - b c\right) \log{\left(c + d x \right)}}{d^{2}}"," ",0,"b*x/d + (a*d - b*c)*log(c + d*x)/d**2","A",0
445,1,3,0,0.063945," ","integrate((x**2+x)/(x**3-x**2-2*x),x)","\log{\left(x - 2 \right)}"," ",0,"log(x - 2)","A",0
446,1,19,0,0.105062," ","integrate((-5*x**2+1)/x**3/(x**2+1),x)","- 6 \log{\left(x \right)} + 3 \log{\left(x^{2} + 1 \right)} - \frac{1}{2 x^{2}}"," ",0,"-6*log(x) + 3*log(x**2 + 1) - 1/(2*x**2)","A",0
447,1,31,0,0.140552," ","integrate(2*x/(-1+x)/(x**2+5),x)","\frac{\log{\left(x - 1 \right)}}{3} - \frac{\log{\left(x^{2} + 5 \right)}}{6} + \frac{\sqrt{5} \operatorname{atan}{\left(\frac{\sqrt{5} x}{5} \right)}}{3}"," ",0,"log(x - 1)/3 - log(x**2 + 5)/6 + sqrt(5)*atan(sqrt(5)*x/5)/3","A",0
448,1,14,0,0.073456," ","integrate((x**2+2)/(2+x),x)","\frac{x^{2}}{2} - 2 x + 6 \log{\left(x + 2 \right)}"," ",0,"x**2/2 - 2*x + 6*log(x + 2)","A",0
449,1,22,0,0.141291," ","integrate(1/(-3+x)/(x**2+4),x)","\frac{\log{\left(x - 3 \right)}}{13} - \frac{\log{\left(x^{2} + 4 \right)}}{26} - \frac{3 \operatorname{atan}{\left(\frac{x}{2} \right)}}{26}"," ",0,"log(x - 3)/13 - log(x**2 + 4)/26 - 3*atan(x/2)/26","A",0
450,1,17,0,0.113975," ","integrate((3*x**6-2)/x/(2*x**6+5),x)","- \frac{2 \log{\left(x \right)}}{5} + \frac{19 \log{\left(2 x^{6} + 5 \right)}}{60}"," ",0,"-2*log(x)/5 + 19*log(2*x**6 + 5)/60","A",0
451,1,8,0,0.087993," ","integrate((3+2*x)/(-2+x)/(5+x),x)","\log{\left(x^{2} + 3 x - 10 \right)}"," ",0,"log(x**2 + 3*x - 10)","A",0
452,1,14,0,0.142798," ","integrate(x**4/(x**4+5*x**2+4),x)","x - \frac{8 \operatorname{atan}{\left(\frac{x}{2} \right)}}{3} + \frac{\operatorname{atan}{\left(x \right)}}{3}"," ",0,"x - 8*atan(x/2)/3 + atan(x)/3","A",0
453,1,46,0,0.194512," ","integrate(1/(1+x)/(2+x)**2/(3+x)**3,x)","\frac{9 x^{2} + 50 x + 68}{4 x^{3} + 32 x^{2} + 84 x + 72} + \frac{\log{\left(x + 1 \right)}}{8} + 2 \log{\left(x + 2 \right)} - \frac{17 \log{\left(x + 3 \right)}}{8}"," ",0,"(9*x**2 + 50*x + 68)/(4*x**3 + 32*x**2 + 84*x + 72) + log(x + 1)/8 + 2*log(x + 2) - 17*log(x + 3)/8","A",0
454,1,7,0,0.076156," ","integrate(x/(x**2-1),x)","\frac{\log{\left(x^{2} - 1 \right)}}{2}"," ",0,"log(x**2 - 1)/2","A",0
455,1,20,0,0.108024," ","integrate(1/(x**2-1)**2,x)","- \frac{x}{2 x^{2} - 2} - \frac{\log{\left(x - 1 \right)}}{4} + \frac{\log{\left(x + 1 \right)}}{4}"," ",0,"-x/(2*x**2 - 2) - log(x - 1)/4 + log(x + 1)/4","A",0
456,1,12,0,0.100779," ","integrate(x**2/(x**2+1)**2,x)","- \frac{x}{2 x^{2} + 2} + \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"-x/(2*x**2 + 2) + atan(x)/2","A",0
457,1,7,0,0.057616," ","integrate(1/(2+3*x),x)","\frac{\log{\left(3 x + 2 \right)}}{3}"," ",0,"log(3*x + 2)/3","A",0
458,1,20,0,0.111872," ","integrate(1/(a**2+x**2),x)","\frac{- \frac{i \log{\left(- i a + x \right)}}{2} + \frac{i \log{\left(i a + x \right)}}{2}}{a}"," ",0,"(-I*log(-I*a + x)/2 + I*log(I*a + x)/2)/a","C",0
459,1,53,0,0.134207," ","integrate(1/(b*x**2+a),x)","- \frac{\sqrt{- \frac{1}{a b}} \log{\left(- a \sqrt{- \frac{1}{a b}} + x \right)}}{2} + \frac{\sqrt{- \frac{1}{a b}} \log{\left(a \sqrt{- \frac{1}{a b}} + x \right)}}{2}"," ",0,"-sqrt(-1/(a*b))*log(-a*sqrt(-1/(a*b)) + x)/2 + sqrt(-1/(a*b))*log(a*sqrt(-1/(a*b)) + x)/2","B",0
460,1,26,0,0.107538," ","integrate(1/(x**2-x+2),x)","\frac{2 \sqrt{7} \operatorname{atan}{\left(\frac{2 \sqrt{7} x}{7} - \frac{\sqrt{7}}{7} \right)}}{7}"," ",0,"2*sqrt(7)*atan(2*sqrt(7)*x/7 - sqrt(7)/7)/7","A",0
461,1,17,0,0.056756," ","integrate(x**2*(-x**2+4)**2,x)","\frac{x^{7}}{7} - \frac{8 x^{5}}{5} + \frac{16 x^{3}}{3}"," ",0,"x**7/7 - 8*x**5/5 + 16*x**3/3","A",0
462,1,15,0,0.055894," ","integrate(x*(-x**3+1)**2,x)","\frac{x^{8}}{8} - \frac{2 x^{5}}{5} + \frac{x^{2}}{2}"," ",0,"x**8/8 - 2*x**5/5 + x**2/2","A",0
463,1,10,0,0.068616," ","integrate((x**3+5*x**2-4)/x**2,x)","\frac{x^{2}}{2} + 5 x + \frac{4}{x}"," ",0,"x**2/2 + 5*x + 4/x","A",0
464,1,39,0,0.118073," ","integrate((-1+x)/(3*x**2-4*x+3),x)","\frac{\log{\left(x^{2} - \frac{4 x}{3} + 1 \right)}}{6} - \frac{\sqrt{5} \operatorname{atan}{\left(\frac{3 \sqrt{5} x}{5} - \frac{2 \sqrt{5}}{5} \right)}}{15}"," ",0,"log(x**2 - 4*x/3 + 1)/6 - sqrt(5)*atan(3*sqrt(5)*x/5 - 2*sqrt(5)/5)/15","A",0
465,1,10,0,0.054181," ","integrate((x**3+2)**2,x)","\frac{x^{7}}{7} + x^{4} + 4 x"," ",0,"x**7/7 + x**4 + 4*x","A",0
466,1,7,0,0.057860," ","integrate((x**2-4)/(2+x),x)","\frac{x^{2}}{2} - 2 x"," ",0,"x**2/2 - 2*x","A",0
467,1,20,0,0.135682," ","integrate(1/(2+x)/(x**2+1),x)","\frac{\log{\left(x + 2 \right)}}{5} - \frac{\log{\left(x^{2} + 1 \right)}}{10} + \frac{2 \operatorname{atan}{\left(x \right)}}{5}"," ",0,"log(x + 2)/5 - log(x**2 + 1)/10 + 2*atan(x)/5","A",0
468,1,19,0,0.128629," ","integrate(1/(1+x)/(x**2+1),x)","\frac{\log{\left(x + 1 \right)}}{2} - \frac{\log{\left(x^{2} + 1 \right)}}{4} + \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"log(x + 1)/2 - log(x**2 + 1)/4 + atan(x)/2","A",0
469,1,19,0,0.122863," ","integrate(x/(1+x)/(x**2+1),x)","- \frac{\log{\left(x + 1 \right)}}{2} + \frac{\log{\left(x^{2} + 1 \right)}}{4} + \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"-log(x + 1)/2 + log(x**2 + 1)/4 + atan(x)/2","A",0
470,1,5,0,0.073392," ","integrate((x**2+2*x)/(1+x)**2,x)","x + \frac{1}{x + 1}"," ",0,"x + 1/(x + 1)","A",0
471,1,20,0,0.148572," ","integrate((x**2-10)/(2*x**4+9*x**2+4),x)","\operatorname{atan}{\left(\frac{x}{2} \right)} - \frac{3 \sqrt{2} \operatorname{atan}{\left(\sqrt{2} x \right)}}{2}"," ",0,"atan(x/2) - 3*sqrt(2)*atan(sqrt(2)*x)/2","A",0
472,1,44,0,0.121771," ","integrate((31+5*x)/(3*x**2-4*x+11),x)","\frac{5 \log{\left(x^{2} - \frac{4 x}{3} + \frac{11}{3} \right)}}{6} + \frac{103 \sqrt{29} \operatorname{atan}{\left(\frac{3 \sqrt{29} x}{29} - \frac{2 \sqrt{29}}{29} \right)}}{87}"," ",0,"5*log(x**2 - 4*x/3 + 11/3)/6 + 103*sqrt(29)*atan(3*sqrt(29)*x/29 - 2*sqrt(29)/29)/87","A",0
473,1,14,0,0.085510," ","integrate((x**3+x**2-2)/x**4,x)","\log{\left(x \right)} + \frac{2 - 3 x^{2}}{3 x^{3}}"," ",0,"log(x) + (2 - 3*x**2)/(3*x**3)","A",0
474,1,10,0,0.075692," ","integrate((x**3+x+1)/x**2,x)","\frac{x^{2}}{2} + \log{\left(x \right)} - \frac{1}{x}"," ",0,"x**2/2 + log(x) - 1/x","A",0
475,1,8,0,0.094926," ","integrate((x**2-2)/x/(x**2+2),x)","- \log{\left(x \right)} + \log{\left(x^{2} + 2 \right)}"," ",0,"-log(x) + log(x**2 + 2)","A",0
476,1,17,0,0.055652," ","integrate((-3+x)*(4*x**2-7),x)","x^{4} - 4 x^{3} - \frac{7 x^{2}}{2} + 21 x"," ",0,"x**4 - 4*x**3 - 7*x**2/2 + 21*x","A",0
477,1,19,0,0.056656," ","integrate((-2+7*x)**3,x)","\frac{343 x^{4}}{4} - 98 x^{3} + 42 x^{2} - 8 x"," ",0,"343*x**4/4 - 98*x**3 + 42*x**2 - 8*x","B",0
478,1,12,0,0.076090," ","integrate((4*x**2-7)/(3+2*x),x)","x^{2} - 3 x + \log{\left(2 x + 3 \right)}"," ",0,"x**2 - 3*x + log(2*x + 3)","A",0
479,1,14,0,0.099803," ","integrate((1+x)/(-1+x)/x**2,x)","- 2 \log{\left(x \right)} + 2 \log{\left(x - 1 \right)} + \frac{1}{x}"," ",0,"-2*log(x) + 2*log(x - 1) + 1/x","A",0
480,1,24,0,0.110827," ","integrate(1/(x**4+4*x**3+4*x**2),x)","\frac{- x - 1}{2 x^{2} + 4 x} - \frac{\log{\left(x \right)}}{4} + \frac{\log{\left(x + 2 \right)}}{4}"," ",0,"(-x - 1)/(2*x**2 + 4*x) - log(x)/4 + log(x + 2)/4","A",0
481,1,12,0,0.073461," ","integrate((x**2+1)/(1+x),x)","\frac{x^{2}}{2} - x + 2 \log{\left(x + 1 \right)}"," ",0,"x**2/2 - x + 2*log(x + 1)","A",0
482,1,15,0,0.078460," ","integrate((x**3-3*x**2+3*x-1)/x**2,x)","\frac{x^{2}}{2} - 3 x + 3 \log{\left(x \right)} + \frac{1}{x}"," ",0,"x**2/2 - 3*x + 3*log(x) + 1/x","A",0
483,1,14,0,0.056901," ","integrate((x+3/2-1/2*37**(1/2))*(x+3/2+1/2*37**(1/2)),x)","\frac{x^{3}}{3} + \frac{3 x^{2}}{2} - 7 x"," ",0,"x**3/3 + 3*x**2/2 - 7*x","A",0
484,1,31,0,0.109306," ","integrate((2*x**3+3*x**2+4)/(1+x)**4,x)","\frac{9 x^{2} + 18 x + 4}{3 x^{3} + 9 x^{2} + 9 x + 3} + 2 \log{\left(x + 1 \right)}"," ",0,"(9*x**2 + 18*x + 4)/(3*x**3 + 9*x**2 + 9*x + 3) + 2*log(x + 1)","A",0
485,1,10,0,0.107285," ","integrate(x/(1+x)**2/(x**2+1),x)","\frac{\operatorname{atan}{\left(x \right)}}{2} + \frac{1}{2 x + 2}"," ",0,"atan(x)/2 + 1/(2*x + 2)","A",0
486,1,24,0,0.080184," ","integrate((x**4-x**3+3*x**2-2*x+7)/(2+x),x)","\frac{x^{4}}{4} - x^{3} + \frac{9 x^{2}}{2} - 20 x + 47 \log{\left(x + 2 \right)}"," ",0,"x**4/4 - x**3 + 9*x**2/2 - 20*x + 47*log(x + 2)","A",0
487,1,10,0,0.058942," ","integrate((x**3-1)/(-1+x),x)","\frac{x^{3}}{3} + \frac{x^{2}}{2} + x"," ",0,"x**3/3 + x**2/2 + x","A",0
488,1,14,0,0.124326," ","integrate((2+2*x)/(-1+x)**3/(x**2+1),x)","\frac{x - 2}{x^{2} - 2 x + 1} + \operatorname{atan}{\left(x \right)}"," ",0,"(x - 2)/(x**2 - 2*x + 1) + atan(x)","A",0
489,1,151,0,0.295814," ","integrate(1/(b*x+c*(e*x+d)**2),x)","\sqrt{\frac{1}{b \left(b + 4 c d e\right)}} \log{\left(x + \frac{- b^{2} \sqrt{\frac{1}{b \left(b + 4 c d e\right)}} - 4 b c d e \sqrt{\frac{1}{b \left(b + 4 c d e\right)}} + b + 2 c d e}{2 c e^{2}} \right)} - \sqrt{\frac{1}{b \left(b + 4 c d e\right)}} \log{\left(x + \frac{b^{2} \sqrt{\frac{1}{b \left(b + 4 c d e\right)}} + 4 b c d e \sqrt{\frac{1}{b \left(b + 4 c d e\right)}} + b + 2 c d e}{2 c e^{2}} \right)}"," ",0,"sqrt(1/(b*(b + 4*c*d*e)))*log(x + (-b**2*sqrt(1/(b*(b + 4*c*d*e))) - 4*b*c*d*e*sqrt(1/(b*(b + 4*c*d*e))) + b + 2*c*d*e)/(2*c*e**2)) - sqrt(1/(b*(b + 4*c*d*e)))*log(x + (b**2*sqrt(1/(b*(b + 4*c*d*e))) + 4*b*c*d*e*sqrt(1/(b*(b + 4*c*d*e))) + b + 2*c*d*e)/(2*c*e**2))","B",0
490,1,294,0,0.349591," ","integrate(1/(a+b*x+c*(e*x+d)**2),x)","- \sqrt{- \frac{1}{4 a c e^{2} - b^{2} - 4 b c d e}} \log{\left(x + \frac{- 4 a c e^{2} \sqrt{- \frac{1}{4 a c e^{2} - b^{2} - 4 b c d e}} + b^{2} \sqrt{- \frac{1}{4 a c e^{2} - b^{2} - 4 b c d e}} + 4 b c d e \sqrt{- \frac{1}{4 a c e^{2} - b^{2} - 4 b c d e}} + b + 2 c d e}{2 c e^{2}} \right)} + \sqrt{- \frac{1}{4 a c e^{2} - b^{2} - 4 b c d e}} \log{\left(x + \frac{4 a c e^{2} \sqrt{- \frac{1}{4 a c e^{2} - b^{2} - 4 b c d e}} - b^{2} \sqrt{- \frac{1}{4 a c e^{2} - b^{2} - 4 b c d e}} - 4 b c d e \sqrt{- \frac{1}{4 a c e^{2} - b^{2} - 4 b c d e}} + b + 2 c d e}{2 c e^{2}} \right)}"," ",0,"-sqrt(-1/(4*a*c*e**2 - b**2 - 4*b*c*d*e))*log(x + (-4*a*c*e**2*sqrt(-1/(4*a*c*e**2 - b**2 - 4*b*c*d*e)) + b**2*sqrt(-1/(4*a*c*e**2 - b**2 - 4*b*c*d*e)) + 4*b*c*d*e*sqrt(-1/(4*a*c*e**2 - b**2 - 4*b*c*d*e)) + b + 2*c*d*e)/(2*c*e**2)) + sqrt(-1/(4*a*c*e**2 - b**2 - 4*b*c*d*e))*log(x + (4*a*c*e**2*sqrt(-1/(4*a*c*e**2 - b**2 - 4*b*c*d*e)) - b**2*sqrt(-1/(4*a*c*e**2 - b**2 - 4*b*c*d*e)) - 4*b*c*d*e*sqrt(-1/(4*a*c*e**2 - b**2 - 4*b*c*d*e)) + b + 2*c*d*e)/(2*c*e**2))","B",0
491,1,24,0,0.517160," ","integrate(x**2/(1+(x**2-1)**2),x)","\operatorname{RootSum} {\left(128 t^{4} + 16 t^{2} + 1, \left( t \mapsto t \log{\left(64 t^{3} + 4 t + x \right)} \right)\right)}"," ",0,"RootSum(128*_t**4 + 16*_t**2 + 1, Lambda(_t, _t*log(64*_t**3 + 4*_t + x)))","A",0
492,1,60,0,0.228628," ","integrate((30*x**9-8*x**7-15*x**6-140*x**5+34*x**4-12*x**3-5*x**2+36*x-15)/(x**4+x+3)**4,x)","\frac{- 5 x^{6} + x^{4} + 5 x^{2} - 3 x + 2}{x^{12} + 3 x^{9} + 9 x^{8} + 3 x^{6} + 18 x^{5} + 27 x^{4} + x^{3} + 9 x^{2} + 27 x + 27}"," ",0,"(-5*x**6 + x**4 + 5*x**2 - 3*x + 2)/(x**12 + 3*x**9 + 9*x**8 + 3*x**6 + 18*x**5 + 27*x**4 + x**3 + 9*x**2 + 27*x + 27)","A",0
493,1,60,0,0.323647," ","integrate(3*(19*x**3+120*x**2+228*x-47)/(x**4+x+3)**4+(-8*x**3-75*x**2-320*x+42)/(x**4+x+3)**3+30*x/(x**4+x+3)**2,x)","\frac{- 5 x^{6} + x^{4} + 5 x^{2} - 3 x + 2}{x^{12} + 3 x^{9} + 9 x^{8} + 3 x^{6} + 18 x^{5} + 27 x^{4} + x^{3} + 9 x^{2} + 27 x + 27}"," ",0,"(-5*x**6 + x**4 + 5*x**2 - 3*x + 2)/(x**12 + 3*x**9 + 9*x**8 + 3*x**6 + 18*x**5 + 27*x**4 + x**3 + 9*x**2 + 27*x + 27)","B",0
494,1,60,0,0.287655," ","integrate((-30*x**5+4*x**3+10*x-3)/(x**4+x+3)**3-3*(4*x**3+1)*(-5*x**6+x**4+5*x**2-3*x+2)/(x**4+x+3)**4,x)","\frac{- 5 x^{6} + x^{4} + 5 x^{2} - 3 x + 2}{x^{12} + 3 x^{9} + 9 x^{8} + 3 x^{6} + 18 x^{5} + 27 x^{4} + x^{3} + 9 x^{2} + 27 x + 27}"," ",0,"(-5*x**6 + x**4 + 5*x**2 - 3*x + 2)/(x**12 + 3*x**9 + 9*x**8 + 3*x**6 + 18*x**5 + 27*x**4 + x**3 + 9*x**2 + 27*x + 27)","B",0
