1,1,68,0,0.071309," ","integrate(x**2*(C*x**2+B*x+A)*(c*x**4+b*x**2+a),x)","\frac{A a x^{3}}{3} + \frac{B a x^{4}}{4} + \frac{B b x^{6}}{6} + \frac{B c x^{8}}{8} + \frac{C c x^{9}}{9} + x^{7} \left(\frac{A c}{7} + \frac{C b}{7}\right) + x^{5} \left(\frac{A b}{5} + \frac{C a}{5}\right)"," ",0,"A*a*x**3/3 + B*a*x**4/4 + B*b*x**6/6 + B*c*x**8/8 + C*c*x**9/9 + x**7*(A*c/7 + C*b/7) + x**5*(A*b/5 + C*a/5)","A",0
2,1,68,0,0.071533," ","integrate(x*(C*x**2+B*x+A)*(c*x**4+b*x**2+a),x)","\frac{A a x^{2}}{2} + \frac{B a x^{3}}{3} + \frac{B b x^{5}}{5} + \frac{B c x^{7}}{7} + \frac{C c x^{8}}{8} + x^{6} \left(\frac{A c}{6} + \frac{C b}{6}\right) + x^{4} \left(\frac{A b}{4} + \frac{C a}{4}\right)"," ",0,"A*a*x**2/2 + B*a*x**3/3 + B*b*x**5/5 + B*c*x**7/7 + C*c*x**8/8 + x**6*(A*c/6 + C*b/6) + x**4*(A*b/4 + C*a/4)","A",0
3,1,65,0,0.069019," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a),x)","A a x + \frac{B a x^{2}}{2} + \frac{B b x^{4}}{4} + \frac{B c x^{6}}{6} + \frac{C c x^{7}}{7} + x^{5} \left(\frac{A c}{5} + \frac{C b}{5}\right) + x^{3} \left(\frac{A b}{3} + \frac{C a}{3}\right)"," ",0,"A*a*x + B*a*x**2/2 + B*b*x**4/4 + B*c*x**6/6 + C*c*x**7/7 + x**5*(A*c/5 + C*b/5) + x**3*(A*b/3 + C*a/3)","A",0
4,1,63,0,0.157374," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)/x,x)","A a \log{\left(x \right)} + B a x + \frac{B b x^{3}}{3} + \frac{B c x^{5}}{5} + \frac{C c x^{6}}{6} + x^{4} \left(\frac{A c}{4} + \frac{C b}{4}\right) + x^{2} \left(\frac{A b}{2} + \frac{C a}{2}\right)"," ",0,"A*a*log(x) + B*a*x + B*b*x**3/3 + B*c*x**5/5 + C*c*x**6/6 + x**4*(A*c/4 + C*b/4) + x**2*(A*b/2 + C*a/2)","A",0
5,1,58,0,0.175196," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)/x**2,x)","- \frac{A a}{x} + B a \log{\left(x \right)} + \frac{B b x^{2}}{2} + \frac{B c x^{4}}{4} + \frac{C c x^{5}}{5} + x^{3} \left(\frac{A c}{3} + \frac{C b}{3}\right) + x \left(A b + C a\right)"," ",0,"-A*a/x + B*a*log(x) + B*b*x**2/2 + B*c*x**4/4 + C*c*x**5/5 + x**3*(A*c/3 + C*b/3) + x*(A*b + C*a)","A",0
6,1,61,0,0.294077," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)/x**3,x)","B b x + \frac{B c x^{3}}{3} + \frac{C c x^{4}}{4} + x^{2} \left(\frac{A c}{2} + \frac{C b}{2}\right) + \left(A b + C a\right) \log{\left(x \right)} + \frac{- A a - 2 B a x}{2 x^{2}}"," ",0,"B*b*x + B*c*x**3/3 + C*c*x**4/4 + x**2*(A*c/2 + C*b/2) + (A*b + C*a)*log(x) + (-A*a - 2*B*a*x)/(2*x**2)","A",0
7,1,63,0,0.520938," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)/x**4,x)","B b \log{\left(x \right)} + \frac{B c x^{2}}{2} + \frac{C c x^{3}}{3} + x \left(A c + C b\right) + \frac{- 2 A a - 3 B a x + x^{2} \left(- 6 A b - 6 C a\right)}{6 x^{3}}"," ",0,"B*b*log(x) + B*c*x**2/2 + C*c*x**3/3 + x*(A*c + C*b) + (-2*A*a - 3*B*a*x + x**2*(-6*A*b - 6*C*a))/(6*x**3)","A",0
8,1,63,0,1.755259," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)/x**5,x)","B c x + \frac{C c x^{2}}{2} + \left(A c + C b\right) \log{\left(x \right)} + \frac{- 3 A a - 4 B a x - 12 B b x^{3} + x^{2} \left(- 6 A b - 6 C a\right)}{12 x^{4}}"," ",0,"B*c*x + C*c*x**2/2 + (A*c + C*b)*log(x) + (-3*A*a - 4*B*a*x - 12*B*b*x**3 + x**2*(-6*A*b - 6*C*a))/(12*x**4)","A",0
9,1,66,0,5.697839," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)/x**6,x)","B c \log{\left(x \right)} + C c x + \frac{- 12 A a - 15 B a x - 30 B b x^{3} + x^{4} \left(- 60 A c - 60 C b\right) + x^{2} \left(- 20 A b - 20 C a\right)}{60 x^{5}}"," ",0,"B*c*log(x) + C*c*x + (-12*A*a - 15*B*a*x - 30*B*b*x**3 + x**4*(-60*A*c - 60*C*b) + x**2*(-20*A*b - 20*C*a))/(60*x**5)","A",0
10,1,70,0,15.377789," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)/x**7,x)","C c \log{\left(x \right)} + \frac{- 10 A a - 12 B a x - 20 B b x^{3} - 60 B c x^{5} + x^{4} \left(- 30 A c - 30 C b\right) + x^{2} \left(- 15 A b - 15 C a\right)}{60 x^{6}}"," ",0,"C*c*log(x) + (-10*A*a - 12*B*a*x - 20*B*b*x**3 - 60*B*c*x**5 + x**4*(-30*A*c - 30*C*b) + x**2*(-15*A*b - 15*C*a))/(60*x**6)","A",0
11,1,168,0,0.093244," ","integrate(x**2*(C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2,x)","\frac{A a^{2} x^{3}}{3} + \frac{B a^{2} x^{4}}{4} + \frac{B a b x^{6}}{3} + \frac{B b c x^{10}}{5} + \frac{B c^{2} x^{12}}{12} + \frac{C c^{2} x^{13}}{13} + x^{11} \left(\frac{A c^{2}}{11} + \frac{2 C b c}{11}\right) + x^{9} \left(\frac{2 A b c}{9} + \frac{2 C a c}{9} + \frac{C b^{2}}{9}\right) + x^{8} \left(\frac{B a c}{4} + \frac{B b^{2}}{8}\right) + x^{7} \left(\frac{2 A a c}{7} + \frac{A b^{2}}{7} + \frac{2 C a b}{7}\right) + x^{5} \left(\frac{2 A a b}{5} + \frac{C a^{2}}{5}\right)"," ",0,"A*a**2*x**3/3 + B*a**2*x**4/4 + B*a*b*x**6/3 + B*b*c*x**10/5 + B*c**2*x**12/12 + C*c**2*x**13/13 + x**11*(A*c**2/11 + 2*C*b*c/11) + x**9*(2*A*b*c/9 + 2*C*a*c/9 + C*b**2/9) + x**8*(B*a*c/4 + B*b**2/8) + x**7*(2*A*a*c/7 + A*b**2/7 + 2*C*a*b/7) + x**5*(2*A*a*b/5 + C*a**2/5)","A",0
12,1,163,0,0.093992," ","integrate(x*(C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2,x)","\frac{A a^{2} x^{2}}{2} + \frac{B a^{2} x^{3}}{3} + \frac{2 B a b x^{5}}{5} + \frac{2 B b c x^{9}}{9} + \frac{B c^{2} x^{11}}{11} + \frac{C c^{2} x^{12}}{12} + x^{10} \left(\frac{A c^{2}}{10} + \frac{C b c}{5}\right) + x^{8} \left(\frac{A b c}{4} + \frac{C a c}{4} + \frac{C b^{2}}{8}\right) + x^{7} \left(\frac{2 B a c}{7} + \frac{B b^{2}}{7}\right) + x^{6} \left(\frac{A a c}{3} + \frac{A b^{2}}{6} + \frac{C a b}{3}\right) + x^{4} \left(\frac{A a b}{2} + \frac{C a^{2}}{4}\right)"," ",0,"A*a**2*x**2/2 + B*a**2*x**3/3 + 2*B*a*b*x**5/5 + 2*B*b*c*x**9/9 + B*c**2*x**11/11 + C*c**2*x**12/12 + x**10*(A*c**2/10 + C*b*c/5) + x**8*(A*b*c/4 + C*a*c/4 + C*b**2/8) + x**7*(2*B*a*c/7 + B*b**2/7) + x**6*(A*a*c/3 + A*b**2/6 + C*a*b/3) + x**4*(A*a*b/2 + C*a**2/4)","A",0
13,1,165,0,0.093361," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2,x)","A a^{2} x + \frac{B a^{2} x^{2}}{2} + \frac{B a b x^{4}}{2} + \frac{B b c x^{8}}{4} + \frac{B c^{2} x^{10}}{10} + \frac{C c^{2} x^{11}}{11} + x^{9} \left(\frac{A c^{2}}{9} + \frac{2 C b c}{9}\right) + x^{7} \left(\frac{2 A b c}{7} + \frac{2 C a c}{7} + \frac{C b^{2}}{7}\right) + x^{6} \left(\frac{B a c}{3} + \frac{B b^{2}}{6}\right) + x^{5} \left(\frac{2 A a c}{5} + \frac{A b^{2}}{5} + \frac{2 C a b}{5}\right) + x^{3} \left(\frac{2 A a b}{3} + \frac{C a^{2}}{3}\right)"," ",0,"A*a**2*x + B*a**2*x**2/2 + B*a*b*x**4/2 + B*b*c*x**8/4 + B*c**2*x**10/10 + C*c**2*x**11/11 + x**9*(A*c**2/9 + 2*C*b*c/9) + x**7*(2*A*b*c/7 + 2*C*a*c/7 + C*b**2/7) + x**6*(B*a*c/3 + B*b**2/6) + x**5*(2*A*a*c/5 + A*b**2/5 + 2*C*a*b/5) + x**3*(2*A*a*b/3 + C*a**2/3)","A",0
14,1,156,0,0.305922," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2/x,x)","A a^{2} \log{\left(x \right)} + B a^{2} x + \frac{2 B a b x^{3}}{3} + \frac{2 B b c x^{7}}{7} + \frac{B c^{2} x^{9}}{9} + \frac{C c^{2} x^{10}}{10} + x^{8} \left(\frac{A c^{2}}{8} + \frac{C b c}{4}\right) + x^{6} \left(\frac{A b c}{3} + \frac{C a c}{3} + \frac{C b^{2}}{6}\right) + x^{5} \left(\frac{2 B a c}{5} + \frac{B b^{2}}{5}\right) + x^{4} \left(\frac{A a c}{2} + \frac{A b^{2}}{4} + \frac{C a b}{2}\right) + x^{2} \left(A a b + \frac{C a^{2}}{2}\right)"," ",0,"A*a**2*log(x) + B*a**2*x + 2*B*a*b*x**3/3 + 2*B*b*c*x**7/7 + B*c**2*x**9/9 + C*c**2*x**10/10 + x**8*(A*c**2/8 + C*b*c/4) + x**6*(A*b*c/3 + C*a*c/3 + C*b**2/6) + x**5*(2*B*a*c/5 + B*b**2/5) + x**4*(A*a*c/2 + A*b**2/4 + C*a*b/2) + x**2*(A*a*b + C*a**2/2)","A",0
15,1,156,0,0.322026," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2/x**2,x)","- \frac{A a^{2}}{x} + B a^{2} \log{\left(x \right)} + B a b x^{2} + \frac{B b c x^{6}}{3} + \frac{B c^{2} x^{8}}{8} + \frac{C c^{2} x^{9}}{9} + x^{7} \left(\frac{A c^{2}}{7} + \frac{2 C b c}{7}\right) + x^{5} \left(\frac{2 A b c}{5} + \frac{2 C a c}{5} + \frac{C b^{2}}{5}\right) + x^{4} \left(\frac{B a c}{2} + \frac{B b^{2}}{4}\right) + x^{3} \left(\frac{2 A a c}{3} + \frac{A b^{2}}{3} + \frac{2 C a b}{3}\right) + x \left(2 A a b + C a^{2}\right)"," ",0,"-A*a**2/x + B*a**2*log(x) + B*a*b*x**2 + B*b*c*x**6/3 + B*c**2*x**8/8 + C*c**2*x**9/9 + x**7*(A*c**2/7 + 2*C*b*c/7) + x**5*(2*A*b*c/5 + 2*C*a*c/5 + C*b**2/5) + x**4*(B*a*c/2 + B*b**2/4) + x**3*(2*A*a*c/3 + A*b**2/3 + 2*C*a*b/3) + x*(2*A*a*b + C*a**2)","A",0
16,1,153,0,0.460339," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2/x**3,x)","2 B a b x + \frac{2 B b c x^{5}}{5} + \frac{B c^{2} x^{7}}{7} + \frac{C c^{2} x^{8}}{8} + a \left(2 A b + C a\right) \log{\left(x \right)} + x^{6} \left(\frac{A c^{2}}{6} + \frac{C b c}{3}\right) + x^{4} \left(\frac{A b c}{2} + \frac{C a c}{2} + \frac{C b^{2}}{4}\right) + x^{3} \left(\frac{2 B a c}{3} + \frac{B b^{2}}{3}\right) + x^{2} \left(A a c + \frac{A b^{2}}{2} + C a b\right) + \frac{- A a^{2} - 2 B a^{2} x}{2 x^{2}}"," ",0,"2*B*a*b*x + 2*B*b*c*x**5/5 + B*c**2*x**7/7 + C*c**2*x**8/8 + a*(2*A*b + C*a)*log(x) + x**6*(A*c**2/6 + C*b*c/3) + x**4*(A*b*c/2 + C*a*c/2 + C*b**2/4) + x**3*(2*B*a*c/3 + B*b**2/3) + x**2*(A*a*c + A*b**2/2 + C*a*b) + (-A*a**2 - 2*B*a**2*x)/(2*x**2)","A",0
17,1,160,0,0.718994," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2/x**4,x)","2 B a b \log{\left(x \right)} + \frac{B b c x^{4}}{2} + \frac{B c^{2} x^{6}}{6} + \frac{C c^{2} x^{7}}{7} + x^{5} \left(\frac{A c^{2}}{5} + \frac{2 C b c}{5}\right) + x^{3} \left(\frac{2 A b c}{3} + \frac{2 C a c}{3} + \frac{C b^{2}}{3}\right) + x^{2} \left(B a c + \frac{B b^{2}}{2}\right) + x \left(2 A a c + A b^{2} + 2 C a b\right) + \frac{- 2 A a^{2} - 3 B a^{2} x + x^{2} \left(- 12 A a b - 6 C a^{2}\right)}{6 x^{3}}"," ",0,"2*B*a*b*log(x) + B*b*c*x**4/2 + B*c**2*x**6/6 + C*c**2*x**7/7 + x**5*(A*c**2/5 + 2*C*b*c/5) + x**3*(2*A*b*c/3 + 2*C*a*c/3 + C*b**2/3) + x**2*(B*a*c + B*b**2/2) + x*(2*A*a*c + A*b**2 + 2*C*a*b) + (-2*A*a**2 - 3*B*a**2*x + x**2*(-12*A*a*b - 6*C*a**2))/(6*x**3)","A",0
18,1,153,0,2.348888," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2/x**5,x)","\frac{2 B b c x^{3}}{3} + \frac{B c^{2} x^{5}}{5} + \frac{C c^{2} x^{6}}{6} + x^{4} \left(\frac{A c^{2}}{4} + \frac{C b c}{2}\right) + x^{2} \left(A b c + C a c + \frac{C b^{2}}{2}\right) + x \left(2 B a c + B b^{2}\right) + \left(2 A a c + A b^{2} + 2 C a b\right) \log{\left(x \right)} + \frac{- 3 A a^{2} - 4 B a^{2} x - 24 B a b x^{3} + x^{2} \left(- 12 A a b - 6 C a^{2}\right)}{12 x^{4}}"," ",0,"2*B*b*c*x**3/3 + B*c**2*x**5/5 + C*c**2*x**6/6 + x**4*(A*c**2/4 + C*b*c/2) + x**2*(A*b*c + C*a*c + C*b**2/2) + x*(2*B*a*c + B*b**2) + (2*A*a*c + A*b**2 + 2*C*a*b)*log(x) + (-3*A*a**2 - 4*B*a**2*x - 24*B*a*b*x**3 + x**2*(-12*A*a*b - 6*C*a**2))/(12*x**4)","A",0
19,1,155,0,7.809242," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2/x**6,x)","B b c x^{2} + \frac{B c^{2} x^{4}}{4} + B \left(2 a c + b^{2}\right) \log{\left(x \right)} + \frac{C c^{2} x^{5}}{5} + x^{3} \left(\frac{A c^{2}}{3} + \frac{2 C b c}{3}\right) + x \left(2 A b c + 2 C a c + C b^{2}\right) + \frac{- 12 A a^{2} - 15 B a^{2} x - 60 B a b x^{3} + x^{4} \left(- 120 A a c - 60 A b^{2} - 120 C a b\right) + x^{2} \left(- 40 A a b - 20 C a^{2}\right)}{60 x^{5}}"," ",0,"B*b*c*x**2 + B*c**2*x**4/4 + B*(2*a*c + b**2)*log(x) + C*c**2*x**5/5 + x**3*(A*c**2/3 + 2*C*b*c/3) + x*(2*A*b*c + 2*C*a*c + C*b**2) + (-12*A*a**2 - 15*B*a**2*x - 60*B*a*b*x**3 + x**4*(-120*A*a*c - 60*A*b**2 - 120*C*a*b) + x**2*(-40*A*a*b - 20*C*a**2))/(60*x**5)","A",0
20,1,158,0,27.401892," ","integrate((C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2/x**7,x)","2 B b c x + \frac{B c^{2} x^{3}}{3} + \frac{C c^{2} x^{4}}{4} + x^{2} \left(\frac{A c^{2}}{2} + C b c\right) + \left(2 A b c + 2 C a c + C b^{2}\right) \log{\left(x \right)} + \frac{- 10 A a^{2} - 12 B a^{2} x - 40 B a b x^{3} + x^{5} \left(- 120 B a c - 60 B b^{2}\right) + x^{4} \left(- 60 A a c - 30 A b^{2} - 60 C a b\right) + x^{2} \left(- 30 A a b - 15 C a^{2}\right)}{60 x^{6}}"," ",0,"2*B*b*c*x + B*c**2*x**3/3 + C*c**2*x**4/4 + x**2*(A*c**2/2 + C*b*c) + (2*A*b*c + 2*C*a*c + C*b**2)*log(x) + (-10*A*a**2 - 12*B*a**2*x - 40*B*a*b*x**3 + x**5*(-120*B*a*c - 60*B*b**2) + x**4*(-60*A*a*c - 30*A*b**2 - 60*C*a*b) + x**2*(-30*A*a*b - 15*C*a**2))/(60*x**6)","A",0
21,-1,0,0,0.000000," ","integrate(x**4*(C*x**2+B*x+A)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,-1,0,0,0.000000," ","integrate(x**3*(C*x**2+B*x+A)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,-1,0,0,0.000000," ","integrate(x**2*(C*x**2+B*x+A)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,-1,0,0,0.000000," ","integrate(x*(C*x**2+B*x+A)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,-1,0,0,0.000000," ","integrate((C*x**2+B*x+A)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
26,-1,0,0,0.000000," ","integrate((C*x**2+B*x+A)/x/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
27,-1,0,0,0.000000," ","integrate((C*x**2+B*x+A)/x**2/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,-1,0,0,0.000000," ","integrate((C*x**2+B*x+A)/x**3/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,-1,0,0,0.000000," ","integrate(x**4*(C*x**2+B*x+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,-1,0,0,0.000000," ","integrate(x**3*(C*x**2+B*x+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,-1,0,0,0.000000," ","integrate(x**2*(C*x**2+B*x+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
32,-1,0,0,0.000000," ","integrate(x*(C*x**2+B*x+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
33,-1,0,0,0.000000," ","integrate((C*x**2+B*x+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate((C*x**2+B*x+A)/x/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,-1,0,0,0.000000," ","integrate((C*x**2+B*x+A)/x**2/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,-1,0,0,0.000000," ","integrate((C*x**2+B*x+A)/x**3/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,-1,0,0,0.000000," ","integrate((d*x)**m*(C*x**2+B*x+A)*(c*x**4+b*x**2+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,-1,0,0,0.000000," ","integrate((d*x)**m*(C*x**2+B*x+A)*(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,1,3735,0,2.575312," ","integrate((d*x)**m*(C*x**2+B*x+A)*(c*x**4+b*x**2+a),x)","\begin{cases} \frac{- \frac{A a}{6 x^{6}} - \frac{A b}{4 x^{4}} - \frac{A c}{2 x^{2}} - \frac{B a}{5 x^{5}} - \frac{B b}{3 x^{3}} - \frac{B c}{x} - \frac{C a}{4 x^{4}} - \frac{C b}{2 x^{2}} + C c \log{\left(x \right)}}{d^{7}} & \text{for}\: m = -7 \\\frac{- \frac{A a}{5 x^{5}} - \frac{A b}{3 x^{3}} - \frac{A c}{x} - \frac{B a}{4 x^{4}} - \frac{B b}{2 x^{2}} + B c \log{\left(x \right)} - \frac{C a}{3 x^{3}} - \frac{C b}{x} + C c x}{d^{6}} & \text{for}\: m = -6 \\\frac{- \frac{A a}{4 x^{4}} - \frac{A b}{2 x^{2}} + A c \log{\left(x \right)} - \frac{B a}{3 x^{3}} - \frac{B b}{x} + B c x - \frac{C a}{2 x^{2}} + C b \log{\left(x \right)} + \frac{C c x^{2}}{2}}{d^{5}} & \text{for}\: m = -5 \\\frac{- \frac{A a}{3 x^{3}} - \frac{A b}{x} + A c x - \frac{B a}{2 x^{2}} + B b \log{\left(x \right)} + \frac{B c x^{2}}{2} - \frac{C a}{x} + C b x + \frac{C c x^{3}}{3}}{d^{4}} & \text{for}\: m = -4 \\\frac{- \frac{A a}{2 x^{2}} + A b \log{\left(x \right)} + \frac{A c x^{2}}{2} - \frac{B a}{x} + B b x + \frac{B c x^{3}}{3} + C a \log{\left(x \right)} + \frac{C b x^{2}}{2} + \frac{C c x^{4}}{4}}{d^{3}} & \text{for}\: m = -3 \\\frac{- \frac{A a}{x} + A b x + \frac{A c x^{3}}{3} + B a \log{\left(x \right)} + \frac{B b x^{2}}{2} + \frac{B c x^{4}}{4} + C a x + \frac{C b x^{3}}{3} + \frac{C c x^{5}}{5}}{d^{2}} & \text{for}\: m = -2 \\\frac{A a \log{\left(x \right)} + \frac{A b x^{2}}{2} + \frac{A c x^{4}}{4} + B a x + \frac{B b x^{3}}{3} + \frac{B c x^{5}}{5} + \frac{C a x^{2}}{2} + \frac{C b x^{4}}{4} + \frac{C c x^{6}}{6}}{d} & \text{for}\: m = -1 \\\frac{A a d^{m} m^{6} x x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{27 A a d^{m} m^{5} x x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{295 A a d^{m} m^{4} x x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1665 A a d^{m} m^{3} x x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{5104 A a d^{m} m^{2} x x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{8028 A a d^{m} m x x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{5040 A a d^{m} x x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{A b d^{m} m^{6} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{25 A b d^{m} m^{5} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{247 A b d^{m} m^{4} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1219 A b d^{m} m^{3} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{3112 A b d^{m} m^{2} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{3796 A b d^{m} m x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1680 A b d^{m} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{A c d^{m} m^{6} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{23 A c d^{m} m^{5} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{207 A c d^{m} m^{4} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{925 A c d^{m} m^{3} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{2144 A c d^{m} m^{2} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{2412 A c d^{m} m x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1008 A c d^{m} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{B a d^{m} m^{6} x^{2} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{26 B a d^{m} m^{5} x^{2} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{270 B a d^{m} m^{4} x^{2} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1420 B a d^{m} m^{3} x^{2} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{3929 B a d^{m} m^{2} x^{2} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{5274 B a d^{m} m x^{2} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{2520 B a d^{m} x^{2} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{B b d^{m} m^{6} x^{4} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{24 B b d^{m} m^{5} x^{4} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{226 B b d^{m} m^{4} x^{4} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1056 B b d^{m} m^{3} x^{4} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{2545 B b d^{m} m^{2} x^{4} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{2952 B b d^{m} m x^{4} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1260 B b d^{m} x^{4} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{B c d^{m} m^{6} x^{6} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{22 B c d^{m} m^{5} x^{6} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{190 B c d^{m} m^{4} x^{6} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{820 B c d^{m} m^{3} x^{6} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1849 B c d^{m} m^{2} x^{6} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{2038 B c d^{m} m x^{6} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{840 B c d^{m} x^{6} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{C a d^{m} m^{6} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{25 C a d^{m} m^{5} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{247 C a d^{m} m^{4} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1219 C a d^{m} m^{3} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{3112 C a d^{m} m^{2} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{3796 C a d^{m} m x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1680 C a d^{m} x^{3} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{C b d^{m} m^{6} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{23 C b d^{m} m^{5} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{207 C b d^{m} m^{4} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{925 C b d^{m} m^{3} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{2144 C b d^{m} m^{2} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{2412 C b d^{m} m x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1008 C b d^{m} x^{5} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{C c d^{m} m^{6} x^{7} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{21 C c d^{m} m^{5} x^{7} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{175 C c d^{m} m^{4} x^{7} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{735 C c d^{m} m^{3} x^{7} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1624 C c d^{m} m^{2} x^{7} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{1764 C c d^{m} m x^{7} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} + \frac{720 C c d^{m} x^{7} x^{m}}{m^{7} + 28 m^{6} + 322 m^{5} + 1960 m^{4} + 6769 m^{3} + 13132 m^{2} + 13068 m + 5040} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-A*a/(6*x**6) - A*b/(4*x**4) - A*c/(2*x**2) - B*a/(5*x**5) - B*b/(3*x**3) - B*c/x - C*a/(4*x**4) - C*b/(2*x**2) + C*c*log(x))/d**7, Eq(m, -7)), ((-A*a/(5*x**5) - A*b/(3*x**3) - A*c/x - B*a/(4*x**4) - B*b/(2*x**2) + B*c*log(x) - C*a/(3*x**3) - C*b/x + C*c*x)/d**6, Eq(m, -6)), ((-A*a/(4*x**4) - A*b/(2*x**2) + A*c*log(x) - B*a/(3*x**3) - B*b/x + B*c*x - C*a/(2*x**2) + C*b*log(x) + C*c*x**2/2)/d**5, Eq(m, -5)), ((-A*a/(3*x**3) - A*b/x + A*c*x - B*a/(2*x**2) + B*b*log(x) + B*c*x**2/2 - C*a/x + C*b*x + C*c*x**3/3)/d**4, Eq(m, -4)), ((-A*a/(2*x**2) + A*b*log(x) + A*c*x**2/2 - B*a/x + B*b*x + B*c*x**3/3 + C*a*log(x) + C*b*x**2/2 + C*c*x**4/4)/d**3, Eq(m, -3)), ((-A*a/x + A*b*x + A*c*x**3/3 + B*a*log(x) + B*b*x**2/2 + B*c*x**4/4 + C*a*x + C*b*x**3/3 + C*c*x**5/5)/d**2, Eq(m, -2)), ((A*a*log(x) + A*b*x**2/2 + A*c*x**4/4 + B*a*x + B*b*x**3/3 + B*c*x**5/5 + C*a*x**2/2 + C*b*x**4/4 + C*c*x**6/6)/d, Eq(m, -1)), (A*a*d**m*m**6*x*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 27*A*a*d**m*m**5*x*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 295*A*a*d**m*m**4*x*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1665*A*a*d**m*m**3*x*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 5104*A*a*d**m*m**2*x*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 8028*A*a*d**m*m*x*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 5040*A*a*d**m*x*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + A*b*d**m*m**6*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 25*A*b*d**m*m**5*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 247*A*b*d**m*m**4*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1219*A*b*d**m*m**3*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 3112*A*b*d**m*m**2*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 3796*A*b*d**m*m*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1680*A*b*d**m*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + A*c*d**m*m**6*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 23*A*c*d**m*m**5*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 207*A*c*d**m*m**4*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 925*A*c*d**m*m**3*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 2144*A*c*d**m*m**2*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 2412*A*c*d**m*m*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1008*A*c*d**m*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + B*a*d**m*m**6*x**2*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 26*B*a*d**m*m**5*x**2*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 270*B*a*d**m*m**4*x**2*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1420*B*a*d**m*m**3*x**2*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 3929*B*a*d**m*m**2*x**2*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 5274*B*a*d**m*m*x**2*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 2520*B*a*d**m*x**2*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + B*b*d**m*m**6*x**4*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 24*B*b*d**m*m**5*x**4*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 226*B*b*d**m*m**4*x**4*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1056*B*b*d**m*m**3*x**4*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 2545*B*b*d**m*m**2*x**4*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 2952*B*b*d**m*m*x**4*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1260*B*b*d**m*x**4*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + B*c*d**m*m**6*x**6*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 22*B*c*d**m*m**5*x**6*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 190*B*c*d**m*m**4*x**6*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 820*B*c*d**m*m**3*x**6*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1849*B*c*d**m*m**2*x**6*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 2038*B*c*d**m*m*x**6*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 840*B*c*d**m*x**6*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + C*a*d**m*m**6*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 25*C*a*d**m*m**5*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 247*C*a*d**m*m**4*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1219*C*a*d**m*m**3*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 3112*C*a*d**m*m**2*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 3796*C*a*d**m*m*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1680*C*a*d**m*x**3*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + C*b*d**m*m**6*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 23*C*b*d**m*m**5*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 207*C*b*d**m*m**4*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 925*C*b*d**m*m**3*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 2144*C*b*d**m*m**2*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 2412*C*b*d**m*m*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1008*C*b*d**m*x**5*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + C*c*d**m*m**6*x**7*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 21*C*c*d**m*m**5*x**7*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 175*C*c*d**m*m**4*x**7*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 735*C*c*d**m*m**3*x**7*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1624*C*c*d**m*m**2*x**7*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 1764*C*c*d**m*m*x**7*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040) + 720*C*c*d**m*x**7*x**m/(m**7 + 28*m**6 + 322*m**5 + 1960*m**4 + 6769*m**3 + 13132*m**2 + 13068*m + 5040), True))","A",0
40,0,0,0,0.000000," ","integrate((d*x)**m*(C*x**2+B*x+A)/(c*x**4+b*x**2+a),x)","\int \frac{\left(d x\right)^{m} \left(A + B x + C x^{2}\right)}{a + b x^{2} + c x^{4}}\, dx"," ",0,"Integral((d*x)**m*(A + B*x + C*x**2)/(a + b*x**2 + c*x**4), x)","F",0
41,-1,0,0,0.000000," ","integrate((d*x)**m*(C*x**2+B*x+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate(x**2*(C*x**2+B*x+A)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,-1,0,0,0.000000," ","integrate(x*(C*x**3+B*x**2+A*x)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,-1,0,0,0.000000," ","integrate((C*x**4+B*x**3+A*x**2)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,-1,0,0,0.000000," ","integrate((C*x**5+B*x**4+A*x**3)/x/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-1,0,0,0.000000," ","integrate((C*x**6+B*x**5+A*x**4)/x**2/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,-1,0,0,0.000000," ","integrate(x**7*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,-1,0,0,0.000000," ","integrate(x**5*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,-1,0,0,0.000000," ","integrate(x**3*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,-1,0,0,0.000000," ","integrate(x*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x**3/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
53,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x**5/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x**7/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate(x**4*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-1,0,0,0.000000," ","integrate(x**2*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x**2/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x**4/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
60,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x**6/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
61,-1,0,0,0.000000," ","integrate(x**7*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,-1,0,0,0.000000," ","integrate(x**5*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
63,-1,0,0,0.000000," ","integrate(x**3*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
64,1,474,0,38.034829," ","integrate(x*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","- \frac{\sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(2 a f - b e + 2 c d\right) \log{\left(x^{2} + \frac{- 16 a^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(2 a f - b e + 2 c d\right) + 8 a b^{2} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(2 a f - b e + 2 c d\right) + 2 a b f - b^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(2 a f - b e + 2 c d\right) - b^{2} e + 2 b c d}{4 a c f - 2 b c e + 4 c^{2} d} \right)}}{2} + \frac{\sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(2 a f - b e + 2 c d\right) \log{\left(x^{2} + \frac{16 a^{2} c^{2} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(2 a f - b e + 2 c d\right) - 8 a b^{2} c \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(2 a f - b e + 2 c d\right) + 2 a b f + b^{4} \sqrt{- \frac{1}{\left(4 a c - b^{2}\right)^{3}}} \left(2 a f - b e + 2 c d\right) - b^{2} e + 2 b c d}{4 a c f - 2 b c e + 4 c^{2} d} \right)}}{2} + \frac{a b f - 2 a c e + b c d + x^{2} \left(- 2 a c f + b^{2} f - b c e + 2 c^{2} d\right)}{8 a^{2} c^{2} - 2 a b^{2} c + x^{4} \left(8 a c^{3} - 2 b^{2} c^{2}\right) + x^{2} \left(8 a b c^{2} - 2 b^{3} c\right)}"," ",0,"-sqrt(-1/(4*a*c - b**2)**3)*(2*a*f - b*e + 2*c*d)*log(x**2 + (-16*a**2*c**2*sqrt(-1/(4*a*c - b**2)**3)*(2*a*f - b*e + 2*c*d) + 8*a*b**2*c*sqrt(-1/(4*a*c - b**2)**3)*(2*a*f - b*e + 2*c*d) + 2*a*b*f - b**4*sqrt(-1/(4*a*c - b**2)**3)*(2*a*f - b*e + 2*c*d) - b**2*e + 2*b*c*d)/(4*a*c*f - 2*b*c*e + 4*c**2*d))/2 + sqrt(-1/(4*a*c - b**2)**3)*(2*a*f - b*e + 2*c*d)*log(x**2 + (16*a**2*c**2*sqrt(-1/(4*a*c - b**2)**3)*(2*a*f - b*e + 2*c*d) - 8*a*b**2*c*sqrt(-1/(4*a*c - b**2)**3)*(2*a*f - b*e + 2*c*d) + 2*a*b*f + b**4*sqrt(-1/(4*a*c - b**2)**3)*(2*a*f - b*e + 2*c*d) - b**2*e + 2*b*c*d)/(4*a*c*f - 2*b*c*e + 4*c**2*d))/2 + (a*b*f - 2*a*c*e + b*c*d + x**2*(-2*a*c*f + b**2*f - b*c*e + 2*c**2*d))/(8*a**2*c**2 - 2*a*b**2*c + x**4*(8*a*c**3 - 2*b**2*c**2) + x**2*(8*a*b*c**2 - 2*b**3*c))","B",0
65,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x**3/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x**5/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate(x**6*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,-1,0,0,0.000000," ","integrate(x**4*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,-1,0,0,0.000000," ","integrate(x**2*(f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x**2/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,-1,0,0,0.000000," ","integrate((f*x**4+e*x**2+d)/x**4/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,1,61,0,0.171897," ","integrate(x**9*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**2,x)","\frac{5 x^{8}}{8} - \frac{9 x^{6}}{2} + \frac{49 x^{4}}{2} - \frac{293 x^{2}}{2} + \frac{415 x^{2} + 414}{2 x^{4} + 6 x^{2} + 4} + 2 \log{\left(x^{2} + 1 \right)} + 392 \log{\left(x^{2} + 2 \right)}"," ",0,"5*x**8/8 - 9*x**6/2 + 49*x**4/2 - 293*x**2/2 + (415*x**2 + 414)/(2*x**4 + 6*x**2 + 4) + 2*log(x**2 + 1) + 392*log(x**2 + 2)","A",0
75,1,56,0,0.171400," ","integrate(x**7*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**2,x)","\frac{5 x^{6}}{6} - \frac{27 x^{4}}{4} + 49 x^{2} + \frac{- 207 x^{2} - 206}{2 x^{4} + 6 x^{2} + 4} - \frac{5 \log{\left(x^{2} + 1 \right)}}{2} - 144 \log{\left(x^{2} + 2 \right)}"," ",0,"5*x**6/6 - 27*x**4/4 + 49*x**2 + (-207*x**2 - 206)/(2*x**4 + 6*x**2 + 4) - 5*log(x**2 + 1)/2 - 144*log(x**2 + 2)","A",0
76,1,48,0,0.172558," ","integrate(x**5*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**2,x)","\frac{5 x^{4}}{4} - \frac{27 x^{2}}{2} + \frac{103 x^{2} + 102}{2 x^{4} + 6 x^{2} + 4} + 3 \log{\left(x^{2} + 1 \right)} + 46 \log{\left(x^{2} + 2 \right)}"," ",0,"5*x**4/4 - 27*x**2/2 + (103*x**2 + 102)/(2*x**4 + 6*x**2 + 4) + 3*log(x**2 + 1) + 46*log(x**2 + 2)","A",0
77,1,44,0,0.173868," ","integrate(x**3*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**2,x)","\frac{5 x^{2}}{2} + \frac{- 51 x^{2} - 50}{2 x^{4} + 6 x^{2} + 4} - \frac{7 \log{\left(x^{2} + 1 \right)}}{2} - 10 \log{\left(x^{2} + 2 \right)}"," ",0,"5*x**2/2 + (-51*x**2 - 50)/(2*x**4 + 6*x**2 + 4) - 7*log(x**2 + 1)/2 - 10*log(x**2 + 2)","A",0
78,1,36,0,0.166203," ","integrate(x*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**2,x)","\frac{25 x^{2} + 24}{2 x^{4} + 6 x^{2} + 4} + 4 \log{\left(x^{2} + 1 \right)} - \frac{3 \log{\left(x^{2} + 2 \right)}}{2}"," ",0,"(25*x**2 + 24)/(2*x**4 + 6*x**2 + 4) + 4*log(x**2 + 1) - 3*log(x**2 + 2)/2","A",0
79,1,41,0,0.183391," ","integrate((5*x**6+3*x**4+x**2+4)/x/(x**4+3*x**2+2)**2,x)","\frac{- 12 x^{2} - 11}{2 x^{4} + 6 x^{2} + 4} + \log{\left(x \right)} - \frac{9 \log{\left(x^{2} + 1 \right)}}{2} + 4 \log{\left(x^{2} + 2 \right)}"," ",0,"(-12*x**2 - 11)/(2*x**4 + 6*x**2 + 4) + log(x) - 9*log(x**2 + 1)/2 + 4*log(x**2 + 2)","A",0
80,1,51,0,0.204913," ","integrate((5*x**6+3*x**4+x**2+4)/x**3/(x**4+3*x**2+2)**2,x)","\frac{9 x^{4} + 3 x^{2} - 4}{4 x^{6} + 12 x^{4} + 8 x^{2}} - \frac{11 \log{\left(x \right)}}{4} + 5 \log{\left(x^{2} + 1 \right)} - \frac{29 \log{\left(x^{2} + 2 \right)}}{8}"," ",0,"(9*x**4 + 3*x**2 - 4)/(4*x**6 + 12*x**4 + 8*x**2) - 11*log(x)/4 + 5*log(x**2 + 1) - 29*log(x**2 + 2)/8","A",0
81,1,56,0,0.213002," ","integrate((5*x**6+3*x**4+x**2+4)/x**5/(x**4+3*x**2+2)**2,x)","\frac{23 \log{\left(x \right)}}{4} - \frac{11 \log{\left(x^{2} + 1 \right)}}{2} + \frac{21 \log{\left(x^{2} + 2 \right)}}{8} + \frac{x^{6} + 13 x^{4} + 8 x^{2} - 2}{4 x^{8} + 12 x^{6} + 8 x^{4}}"," ",0,"23*log(x)/4 - 11*log(x**2 + 1)/2 + 21*log(x**2 + 2)/8 + (x**6 + 13*x**4 + 8*x**2 - 2)/(4*x**8 + 12*x**6 + 8*x**4)","A",0
82,1,68,0,0.209521," ","integrate(x**8*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**2,x)","\frac{5 x^{7}}{7} - \frac{27 x^{5}}{5} + \frac{98 x^{3}}{3} - 293 x + \frac{- 207 x^{3} - 206 x}{2 x^{4} + 6 x^{2} + 4} + \frac{9 \operatorname{atan}{\left(x \right)}}{2} + 340 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}"," ",0,"5*x**7/7 - 27*x**5/5 + 98*x**3/3 - 293*x + (-207*x**3 - 206*x)/(2*x**4 + 6*x**2 + 4) + 9*atan(x)/2 + 340*sqrt(2)*atan(sqrt(2)*x/2)","A",0
83,1,54,0,0.206625," ","integrate(x**6*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**2,x)","x^{5} - 9 x^{3} + 98 x + \frac{103 x^{3} + 102 x}{2 x^{4} + 6 x^{2} + 4} - \frac{11 \operatorname{atan}{\left(x \right)}}{2} - 118 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}"," ",0,"x**5 - 9*x**3 + 98*x + (103*x**3 + 102*x)/(2*x**4 + 6*x**2 + 4) - 11*atan(x)/2 - 118*sqrt(2)*atan(sqrt(2)*x/2)","A",0
84,1,54,0,0.209928," ","integrate(x**4*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**2,x)","\frac{5 x^{3}}{3} - 27 x + \frac{- 51 x^{3} - 50 x}{2 x^{4} + 6 x^{2} + 4} + \frac{13 \operatorname{atan}{\left(x \right)}}{2} + 33 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}"," ",0,"5*x**3/3 - 27*x + (-51*x**3 - 50*x)/(2*x**4 + 6*x**2 + 4) + 13*atan(x)/2 + 33*sqrt(2)*atan(sqrt(2)*x/2)","A",0
85,1,48,0,0.207111," ","integrate(x**2*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**2,x)","5 x + \frac{25 x^{3} + 24 x}{2 x^{4} + 6 x^{2} + 4} - \frac{15 \operatorname{atan}{\left(x \right)}}{2} - \frac{7 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{2}"," ",0,"5*x + (25*x**3 + 24*x)/(2*x**4 + 6*x**2 + 4) - 15*atan(x)/2 - 7*sqrt(2)*atan(sqrt(2)*x/2)/2","A",0
86,1,46,0,0.203390," ","integrate((5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**2,x)","\frac{- 12 x^{3} - 11 x}{2 x^{4} + 6 x^{2} + 4} + \frac{17 \operatorname{atan}{\left(x \right)}}{2} - \frac{19 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{4}"," ",0,"(-12*x**3 - 11*x)/(2*x**4 + 6*x**2 + 4) + 17*atan(x)/2 - 19*sqrt(2)*atan(sqrt(2)*x/2)/4","A",0
87,1,49,0,0.219400," ","integrate((5*x**6+3*x**4+x**2+4)/x**2/(x**4+3*x**2+2)**2,x)","\frac{7 x^{4} - 3 x^{2} - 8}{4 x^{5} + 12 x^{3} + 8 x} - \frac{19 \operatorname{atan}{\left(x \right)}}{2} + \frac{45 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{8}"," ",0,"(7*x**4 - 3*x**2 - 8)/(4*x**5 + 12*x**3 + 8*x) - 19*atan(x)/2 + 45*sqrt(2)*atan(sqrt(2)*x/2)/8","A",0
88,1,56,0,0.239764," ","integrate((5*x**6+3*x**4+x**2+4)/x**4/(x**4+3*x**2+2)**2,x)","\frac{21 \operatorname{atan}{\left(x \right)}}{2} - \frac{71 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{16} + \frac{39 x^{6} + 175 x^{4} + 108 x^{2} - 16}{24 x^{7} + 72 x^{5} + 48 x^{3}}"," ",0,"21*atan(x)/2 - 71*sqrt(2)*atan(sqrt(2)*x/2)/16 + (39*x**6 + 175*x**4 + 108*x**2 - 16)/(24*x**7 + 72*x**5 + 48*x**3)","A",0
89,1,61,0,0.253811," ","integrate((5*x**6+3*x**4+x**2+4)/x**6/(x**4+3*x**2+2)**2,x)","- \frac{23 \operatorname{atan}{\left(x \right)}}{2} + \frac{97 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{32} + \frac{- 1305 x^{8} - 3965 x^{6} - 2148 x^{4} + 296 x^{2} - 96}{240 x^{9} + 720 x^{7} + 480 x^{5}}"," ",0,"-23*atan(x)/2 + 97*sqrt(2)*atan(sqrt(2)*x/2)/32 + (-1305*x**8 - 3965*x**6 - 2148*x**4 + 296*x**2 - 96)/(240*x**9 + 720*x**7 + 480*x**5)","A",0
90,1,66,0,0.276406," ","integrate((5*x**6+3*x**4+x**2+4)/x**8/(x**4+3*x**2+2)**2,x)","\frac{25 \operatorname{atan}{\left(x \right)}}{2} - \frac{123 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{64} + \frac{29085 x^{10} + 81865 x^{8} + 40068 x^{6} - 7816 x^{4} + 2256 x^{2} - 960}{3360 x^{11} + 10080 x^{9} + 6720 x^{7}}"," ",0,"25*atan(x)/2 - 123*sqrt(2)*atan(sqrt(2)*x/2)/64 + (29085*x**10 + 81865*x**8 + 40068*x**6 - 7816*x**4 + 2256*x**2 - 960)/(3360*x**11 + 10080*x**9 + 6720*x**7)","A",0
91,1,75,0,0.257512," ","integrate(x**10*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**3,x)","x^{5} - 14 x^{3} + 214 x + \frac{1669 x^{7} + 5831 x^{5} + 6640 x^{3} + 2476 x}{8 x^{8} + 48 x^{6} + 104 x^{4} + 96 x^{2} + 32} + \frac{477 \operatorname{atan}{\left(x \right)}}{8} - 351 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}"," ",0,"x**5 - 14*x**3 + 214*x + (1669*x**7 + 5831*x**5 + 6640*x**3 + 2476*x)/(8*x**8 + 48*x**6 + 104*x**4 + 96*x**2 + 32) + 477*atan(x)/8 - 351*sqrt(2)*atan(sqrt(2)*x/2)","A",0
92,1,76,0,0.256166," ","integrate(x**8*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**3,x)","\frac{5 x^{3}}{3} - 42 x + \frac{- 409 x^{7} - 1203 x^{5} - 1160 x^{3} - 364 x}{8 x^{8} + 48 x^{6} + 104 x^{4} + 96 x^{2} + 32} - \frac{449 \operatorname{atan}{\left(x \right)}}{8} + \frac{219 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{2}"," ",0,"5*x**3/3 - 42*x + (-409*x**7 - 1203*x**5 - 1160*x**3 - 364*x)/(8*x**8 + 48*x**6 + 104*x**4 + 96*x**2 + 32) - 449*atan(x)/8 + 219*sqrt(2)*atan(sqrt(2)*x/2)/2","A",0
93,1,70,0,0.255005," ","integrate(x**6*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**3,x)","5 x + \frac{- 15 x^{7} - 289 x^{5} - 556 x^{3} - 284 x}{8 x^{8} + 48 x^{6} + 104 x^{4} + 96 x^{2} + 32} + \frac{413 \operatorname{atan}{\left(x \right)}}{8} - \frac{191 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{4}"," ",0,"5*x + (-15*x**7 - 289*x**5 - 556*x**3 - 284*x)/(8*x**8 + 48*x**6 + 104*x**4 + 96*x**2 + 32) + 413*atan(x)/8 - 191*sqrt(2)*atan(sqrt(2)*x/2)/4","A",0
94,1,65,0,0.262251," ","integrate(x**4*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**3,x)","\frac{125 x^{7} + 629 x^{5} + 910 x^{3} + 408 x}{8 x^{8} + 48 x^{6} + 104 x^{4} + 96 x^{2} + 32} - \frac{369 \operatorname{atan}{\left(x \right)}}{8} + \frac{267 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{8}"," ",0,"(125*x**7 + 629*x**5 + 910*x**3 + 408*x)/(8*x**8 + 48*x**6 + 104*x**4 + 96*x**2 + 32) - 369*atan(x)/8 + 267*sqrt(2)*atan(sqrt(2)*x/2)/8","A",0
95,1,66,0,0.251211," ","integrate(x**2*(5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**3,x)","\frac{- 130 x^{7} - 601 x^{5} - 843 x^{3} - 374 x}{8 x^{8} + 48 x^{6} + 104 x^{4} + 96 x^{2} + 32} + \frac{317 \operatorname{atan}{\left(x \right)}}{8} - \frac{447 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{16}"," ",0,"(-130*x**7 - 601*x**5 - 843*x**3 - 374*x)/(8*x**8 + 48*x**6 + 104*x**4 + 96*x**2 + 32) + 317*atan(x)/8 - 447*sqrt(2)*atan(sqrt(2)*x/2)/16","A",0
96,1,65,0,0.247777," ","integrate((5*x**6+3*x**4+x**2+4)/(x**4+3*x**2+2)**3,x)","\frac{217 x^{7} + 986 x^{5} + 1391 x^{3} + 626 x}{16 x^{8} + 96 x^{6} + 208 x^{4} + 192 x^{2} + 64} - \frac{257 \operatorname{atan}{\left(x \right)}}{8} + \frac{731 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{32}"," ",0,"(217*x**7 + 986*x**5 + 1391*x**3 + 626*x)/(16*x**8 + 96*x**6 + 208*x**4 + 192*x**2 + 64) - 257*atan(x)/8 + 731*sqrt(2)*atan(sqrt(2)*x/2)/32","A",0
97,1,71,0,0.276134," ","integrate((5*x**6+3*x**4+x**2+4)/x**2/(x**4+3*x**2+2)**3,x)","\frac{- 363 x^{8} - 1684 x^{6} - 2499 x^{4} - 1250 x^{2} - 64}{32 x^{9} + 192 x^{7} + 416 x^{5} + 384 x^{3} + 128 x} + \frac{189 \operatorname{atan}{\left(x \right)}}{8} - \frac{1119 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{64}"," ",0,"(-363*x**8 - 1684*x**6 - 2499*x**4 - 1250*x**2 - 64)/(32*x**9 + 192*x**7 + 416*x**5 + 384*x**3 + 128*x) + 189*atan(x)/8 - 1119*sqrt(2)*atan(sqrt(2)*x/2)/64","A",0
98,1,76,0,0.293062," ","integrate((5*x**6+3*x**4+x**2+4)/x**4/(x**4+3*x**2+2)**3,x)","- \frac{113 \operatorname{atan}{\left(x \right)}}{8} + \frac{1611 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{128} + \frac{2121 x^{10} + 10408 x^{8} + 16989 x^{6} + 10126 x^{4} + 1248 x^{2} - 128}{192 x^{11} + 1152 x^{9} + 2496 x^{7} + 2304 x^{5} + 768 x^{3}}"," ",0,"-113*atan(x)/8 + 1611*sqrt(2)*atan(sqrt(2)*x/2)/128 + (2121*x**10 + 10408*x**8 + 16989*x**6 + 10126*x**4 + 1248*x**2 - 128)/(192*x**11 + 1152*x**9 + 2496*x**7 + 2304*x**5 + 768*x**3)","A",0
99,1,82,0,0.312009," ","integrate((5*x**6+3*x**4+x**2+4)/x**6/(x**4+3*x**2+2)**3,x)","\frac{29 \operatorname{atan}{\left(x \right)}}{8} - \frac{2207 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{256} + \frac{- 26145 x^{12} - 137120 x^{10} - 246477 x^{8} - 170702 x^{6} - 30816 x^{4} + 3136 x^{2} - 768}{1920 x^{13} + 11520 x^{11} + 24960 x^{9} + 23040 x^{7} + 7680 x^{5}}"," ",0,"29*atan(x)/8 - 2207*sqrt(2)*atan(sqrt(2)*x/2)/256 + (-26145*x**12 - 137120*x**10 - 246477*x**8 - 170702*x**6 - 30816*x**4 + 3136*x**2 - 768)/(1920*x**13 + 11520*x**11 + 24960*x**9 + 23040*x**7 + 7680*x**5)","A",0
100,1,87,0,0.183109," ","integrate(x**9*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**2,x)","\frac{5 x^{8}}{8} - \frac{17 x^{6}}{6} + \frac{19 x^{4}}{4} + 19 x^{2} + \frac{- 175 x^{2} - 375}{8 x^{4} + 16 x^{2} + 24} - \frac{183 \log{\left(x^{4} + 2 x^{2} + 3 \right)}}{4} + \frac{201 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{16}"," ",0,"5*x**8/8 - 17*x**6/6 + 19*x**4/4 + 19*x**2 + (-175*x**2 - 375)/(8*x**4 + 16*x**2 + 24) - 183*log(x**4 + 2*x**2 + 3)/4 + 201*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/16","A",0
101,1,80,0,0.184669," ","integrate(x**7*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**2,x)","\frac{5 x^{6}}{6} - \frac{17 x^{4}}{4} + \frac{19 x^{2}}{2} + \frac{125 x^{2} + 75}{8 x^{4} + 16 x^{2} + 24} + \frac{19 \log{\left(x^{4} + 2 x^{2} + 3 \right)}}{2} - \frac{455 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{16}"," ",0,"5*x**6/6 - 17*x**4/4 + 19*x**2/2 + (125*x**2 + 75)/(8*x**4 + 16*x**2 + 24) + 19*log(x**4 + 2*x**2 + 3)/2 - 455*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/16","A",0
102,1,73,0,0.179885," ","integrate(x**5*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**2,x)","\frac{5 x^{4}}{4} - \frac{17 x^{2}}{2} + \frac{75 - 25 x^{2}}{8 x^{4} + 16 x^{2} + 24} + \frac{19 \log{\left(x^{4} + 2 x^{2} + 3 \right)}}{4} + \frac{203 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{16}"," ",0,"5*x**4/4 - 17*x**2/2 + (75 - 25*x**2)/(8*x**4 + 16*x**2 + 24) + 19*log(x**4 + 2*x**2 + 3)/4 + 203*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/16","A",0
103,1,68,0,0.180883," ","integrate(x**3*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**2,x)","\frac{5 x^{2}}{2} + \frac{- 25 x^{2} - 75}{8 x^{4} + 16 x^{2} + 24} - \frac{17 \log{\left(x^{4} + 2 x^{2} + 3 \right)}}{4} - \frac{17 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{16}"," ",0,"5*x**2/2 + (-25*x**2 - 75)/(8*x**4 + 16*x**2 + 24) - 17*log(x**4 + 2*x**2 + 3)/4 - 17*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/16","A",0
104,1,60,0,0.178685," ","integrate(x*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**2,x)","\frac{25 x^{2} + 25}{8 x^{4} + 16 x^{2} + 24} + \frac{5 \log{\left(x^{4} + 2 x^{2} + 3 \right)}}{4} - \frac{23 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{16}"," ",0,"(25*x**2 + 25)/(8*x**4 + 16*x**2 + 24) + 5*log(x**4 + 2*x**2 + 3)/4 - 23*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/16","A",0
105,1,65,0,0.198364," ","integrate((5*x**6+3*x**4+x**2+4)/x/(x**4+2*x**2+3)**2,x)","\frac{25 - 25 x^{2}}{24 x^{4} + 48 x^{2} + 72} + \frac{4 \log{\left(x \right)}}{9} - \frac{\log{\left(x^{4} + 2 x^{2} + 3 \right)}}{9} + \frac{89 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{144}"," ",0,"(25 - 25*x**2)/(24*x**4 + 48*x**2 + 72) + 4*log(x)/9 - log(x**4 + 2*x**2 + 3)/9 + 89*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/144","A",0
106,1,76,0,0.212459," ","integrate((5*x**6+3*x**4+x**2+4)/x**3/(x**4+2*x**2+3)**2,x)","\frac{- 41 x^{4} - 157 x^{2} - 48}{72 x^{6} + 144 x^{4} + 216 x^{2}} - \frac{13 \log{\left(x \right)}}{27} + \frac{13 \log{\left(x^{4} + 2 x^{2} + 3 \right)}}{108} - \frac{71 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{432}"," ",0,"(-41*x**4 - 157*x**2 - 48)/(72*x**6 + 144*x**4 + 216*x**2) - 13*log(x)/27 + 13*log(x**4 + 2*x**2 + 3)/108 - 71*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/432","A",0
107,1,80,0,0.225817," ","integrate((5*x**6+3*x**4+x**2+4)/x**5/(x**4+2*x**2+3)**2,x)","\frac{13 \log{\left(x \right)}}{27} - \frac{13 \log{\left(x^{4} + 2 x^{2} + 3 \right)}}{108} + \frac{125 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{432} + \frac{59 x^{6} + 85 x^{4} + 36 x^{2} - 24}{72 x^{8} + 144 x^{6} + 216 x^{4}}"," ",0,"13*log(x)/27 - 13*log(x**4 + 2*x**2 + 3)/108 + 125*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/432 + (59*x**6 + 85*x**4 + 36*x**2 - 24)/(72*x**8 + 144*x**6 + 216*x**4)","A",0
108,1,85,0,0.240703," ","integrate((5*x**6+3*x**4+x**2+4)/x**7/(x**4+2*x**2+3)**2,x)","\frac{61 \log{\left(x \right)}}{243} - \frac{61 \log{\left(x^{4} + 2 x^{2} + 3 \right)}}{972} - \frac{1237 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x^{2}}{2} + \frac{\sqrt{2}}{2} \right)}}{3888} + \frac{- 331 x^{8} - 209 x^{6} - 360 x^{4} + 138 x^{2} - 144}{648 x^{10} + 1296 x^{8} + 1944 x^{6}}"," ",0,"61*log(x)/243 - 61*log(x**4 + 2*x**2 + 3)/972 - 1237*sqrt(2)*atan(sqrt(2)*x**2/2 + sqrt(2)/2)/3888 + (-331*x**8 - 209*x**6 - 360*x**4 + 138*x**2 - 144)/(648*x**10 + 1296*x**8 + 1944*x**6)","A",0
109,1,71,0,0.611110," ","integrate(x**8*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**2,x)","\frac{5 x^{7}}{7} - \frac{17 x^{5}}{5} + \frac{19 x^{3}}{3} + 38 x + \frac{125 x^{3} + 75 x}{8 x^{4} + 16 x^{2} + 24} + \operatorname{RootSum} {\left(1048576 t^{4} + 538155008 t^{2} + 1146851282043, \left( t \mapsto t \log{\left(- \frac{16547840 t^{3}}{453886804809} - \frac{11974973632 t}{453886804809} + x \right)} \right)\right)}"," ",0,"5*x**7/7 - 17*x**5/5 + 19*x**3/3 + 38*x + (125*x**3 + 75*x)/(8*x**4 + 16*x**2 + 24) + RootSum(1048576*_t**4 + 538155008*_t**2 + 1146851282043, Lambda(_t, _t*log(-16547840*_t**3/453886804809 - 11974973632*_t/453886804809 + x)))","A",0
110,1,1205,0,1.359992," ","integrate(x**6*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**2,x)","x^{5} - \frac{17 x^{3}}{3} + 19 x + \frac{- 25 x^{3} + 75 x}{8 x^{4} + 16 x^{2} + 24} - 3 \sqrt{\frac{26007}{2048} + \frac{15033 \sqrt{3}}{2048}} \log{\left(x^{2} + x \left(- \frac{304 \sqrt{2} \sqrt{8669 + 5011 \sqrt{3}}}{299} - \frac{433349 \sqrt{6} \sqrt{8669 + 5011 \sqrt{3}}}{1498289} + \frac{152 \sqrt{3} \sqrt{8669 + 5011 \sqrt{3}} \sqrt{43440359 \sqrt{3} + 75240962}}{1498289}\right) - \frac{2882918249387 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962}}{2244869927521} - \frac{993398584 \sqrt{6} \sqrt{43440359 \sqrt{3} + 75240962}}{1343965233} + \frac{49936376949404567}{2244869927521} + \frac{17261871038090 \sqrt{3}}{1343965233} \right)} + 3 \sqrt{\frac{26007}{2048} + \frac{15033 \sqrt{3}}{2048}} \log{\left(x^{2} + x \left(- \frac{152 \sqrt{3} \sqrt{8669 + 5011 \sqrt{3}} \sqrt{43440359 \sqrt{3} + 75240962}}{1498289} + \frac{433349 \sqrt{6} \sqrt{8669 + 5011 \sqrt{3}}}{1498289} + \frac{304 \sqrt{2} \sqrt{8669 + 5011 \sqrt{3}}}{299}\right) - \frac{2882918249387 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962}}{2244869927521} - \frac{993398584 \sqrt{6} \sqrt{43440359 \sqrt{3} + 75240962}}{1343965233} + \frac{49936376949404567}{2244869927521} + \frac{17261871038090 \sqrt{3}}{1343965233} \right)} - 2 \sqrt{- \frac{27 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962}}{1024} + \frac{234063}{2048} + \frac{405891 \sqrt{3}}{2048}} \operatorname{atan}{\left(\frac{2996578 \sqrt{3} x}{17641 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}} + 152 \sqrt{43440359 \sqrt{3} + 75240962} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}}} - \frac{1523344 \sqrt{6} \sqrt{8669 + 5011 \sqrt{3}}}{17641 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}} + 152 \sqrt{43440359 \sqrt{3} + 75240962} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}}} - \frac{1300047 \sqrt{2} \sqrt{8669 + 5011 \sqrt{3}}}{17641 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}} + 152 \sqrt{43440359 \sqrt{3} + 75240962} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}}} + \frac{456 \sqrt{8669 + 5011 \sqrt{3}} \sqrt{43440359 \sqrt{3} + 75240962}}{17641 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}} + 152 \sqrt{43440359 \sqrt{3} + 75240962} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}}} \right)} - 2 \sqrt{- \frac{27 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962}}{1024} + \frac{234063}{2048} + \frac{405891 \sqrt{3}}{2048}} \operatorname{atan}{\left(\frac{2996578 \sqrt{3} x}{17641 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}} + 152 \sqrt{43440359 \sqrt{3} + 75240962} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}}} - \frac{456 \sqrt{8669 + 5011 \sqrt{3}} \sqrt{43440359 \sqrt{3} + 75240962}}{17641 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}} + 152 \sqrt{43440359 \sqrt{3} + 75240962} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}}} + \frac{1300047 \sqrt{2} \sqrt{8669 + 5011 \sqrt{3}}}{17641 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}} + 152 \sqrt{43440359 \sqrt{3} + 75240962} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}}} + \frac{1523344 \sqrt{6} \sqrt{8669 + 5011 \sqrt{3}}}{17641 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}} + 152 \sqrt{43440359 \sqrt{3} + 75240962} \sqrt{- 2 \sqrt{2} \sqrt{43440359 \sqrt{3} + 75240962} + 8669 + 15033 \sqrt{3}}} \right)}"," ",0,"x**5 - 17*x**3/3 + 19*x + (-25*x**3 + 75*x)/(8*x**4 + 16*x**2 + 24) - 3*sqrt(26007/2048 + 15033*sqrt(3)/2048)*log(x**2 + x*(-304*sqrt(2)*sqrt(8669 + 5011*sqrt(3))/299 - 433349*sqrt(6)*sqrt(8669 + 5011*sqrt(3))/1498289 + 152*sqrt(3)*sqrt(8669 + 5011*sqrt(3))*sqrt(43440359*sqrt(3) + 75240962)/1498289) - 2882918249387*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962)/2244869927521 - 993398584*sqrt(6)*sqrt(43440359*sqrt(3) + 75240962)/1343965233 + 49936376949404567/2244869927521 + 17261871038090*sqrt(3)/1343965233) + 3*sqrt(26007/2048 + 15033*sqrt(3)/2048)*log(x**2 + x*(-152*sqrt(3)*sqrt(8669 + 5011*sqrt(3))*sqrt(43440359*sqrt(3) + 75240962)/1498289 + 433349*sqrt(6)*sqrt(8669 + 5011*sqrt(3))/1498289 + 304*sqrt(2)*sqrt(8669 + 5011*sqrt(3))/299) - 2882918249387*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962)/2244869927521 - 993398584*sqrt(6)*sqrt(43440359*sqrt(3) + 75240962)/1343965233 + 49936376949404567/2244869927521 + 17261871038090*sqrt(3)/1343965233) - 2*sqrt(-27*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962)/1024 + 234063/2048 + 405891*sqrt(3)/2048)*atan(2996578*sqrt(3)*x/(17641*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3)) + 152*sqrt(43440359*sqrt(3) + 75240962)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3))) - 1523344*sqrt(6)*sqrt(8669 + 5011*sqrt(3))/(17641*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3)) + 152*sqrt(43440359*sqrt(3) + 75240962)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3))) - 1300047*sqrt(2)*sqrt(8669 + 5011*sqrt(3))/(17641*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3)) + 152*sqrt(43440359*sqrt(3) + 75240962)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3))) + 456*sqrt(8669 + 5011*sqrt(3))*sqrt(43440359*sqrt(3) + 75240962)/(17641*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3)) + 152*sqrt(43440359*sqrt(3) + 75240962)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3)))) - 2*sqrt(-27*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962)/1024 + 234063/2048 + 405891*sqrt(3)/2048)*atan(2996578*sqrt(3)*x/(17641*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3)) + 152*sqrt(43440359*sqrt(3) + 75240962)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3))) - 456*sqrt(8669 + 5011*sqrt(3))*sqrt(43440359*sqrt(3) + 75240962)/(17641*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3)) + 152*sqrt(43440359*sqrt(3) + 75240962)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3))) + 1300047*sqrt(2)*sqrt(8669 + 5011*sqrt(3))/(17641*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3)) + 152*sqrt(43440359*sqrt(3) + 75240962)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3))) + 1523344*sqrt(6)*sqrt(8669 + 5011*sqrt(3))/(17641*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3)) + 152*sqrt(43440359*sqrt(3) + 75240962)*sqrt(-2*sqrt(2)*sqrt(43440359*sqrt(3) + 75240962) + 8669 + 15033*sqrt(3))))","B",0
111,1,60,0,0.614595," ","integrate(x**4*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**2,x)","\frac{5 x^{3}}{3} - 17 x + \frac{- 25 x^{3} - 75 x}{8 x^{4} + 16 x^{2} + 24} + \operatorname{RootSum} {\left(1048576 t^{4} + 29480960 t^{2} + 2106591003, \left( t \mapsto t \log{\left(\frac{557056 t^{3}}{816619683} + \frac{166600064 t}{816619683} + x \right)} \right)\right)}"," ",0,"5*x**3/3 - 17*x + (-25*x**3 - 75*x)/(8*x**4 + 16*x**2 + 24) + RootSum(1048576*_t**4 + 29480960*_t**2 + 2106591003, Lambda(_t, _t*log(557056*_t**3/816619683 + 166600064*_t/816619683 + x)))","A",0
112,1,51,0,0.601930," ","integrate(x**2*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**2,x)","5 x + \frac{25 x^{3} + 25 x}{8 x^{4} + 16 x^{2} + 24} + \operatorname{RootSum} {\left(3145728 t^{4} + 39507968 t^{2} + 166384201, \left( t \mapsto t \log{\left(- \frac{9240576 t^{3}}{102792131} - \frac{95003488 t}{102792131} + x \right)} \right)\right)}"," ",0,"5*x + (25*x**3 + 25*x)/(8*x**4 + 16*x**2 + 24) + RootSum(3145728*_t**4 + 39507968*_t**2 + 166384201, Lambda(_t, _t*log(-9240576*_t**3/102792131 - 95003488*_t/102792131 + x)))","A",0
113,1,1185,0,1.291167," ","integrate((5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**2,x)","\frac{- 25 x^{3} + 25 x}{24 x^{4} + 48 x^{2} + 72} + \sqrt{\frac{11567}{55296} + \frac{1433 \sqrt{3}}{6144}} \log{\left(x^{2} + x \left(- \frac{556 \sqrt{2} \sqrt{11567 + 12897 \sqrt{3}}}{13513} - \frac{1040345 \sqrt{6} \sqrt{11567 + 12897 \sqrt{3}}}{174277161} + \frac{278 \sqrt{3} \sqrt{11567 + 12897 \sqrt{3}} \sqrt{149179599 \sqrt{3} + 316396658}}{174277161}\right) - \frac{47610276200401 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658}}{30372528846219921} - \frac{4390831246 \sqrt{6} \sqrt{149179599 \sqrt{3} + 316396658}}{7065021829779} + \frac{1281046481635939181}{30372528846219921} + \frac{200684595453464 \sqrt{3}}{7065021829779} \right)} - \sqrt{\frac{11567}{55296} + \frac{1433 \sqrt{3}}{6144}} \log{\left(x^{2} + x \left(- \frac{278 \sqrt{3} \sqrt{11567 + 12897 \sqrt{3}} \sqrt{149179599 \sqrt{3} + 316396658}}{174277161} + \frac{1040345 \sqrt{6} \sqrt{11567 + 12897 \sqrt{3}}}{174277161} + \frac{556 \sqrt{2} \sqrt{11567 + 12897 \sqrt{3}}}{13513}\right) - \frac{47610276200401 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658}}{30372528846219921} - \frac{4390831246 \sqrt{6} \sqrt{149179599 \sqrt{3} + 316396658}}{7065021829779} + \frac{1281046481635939181}{30372528846219921} + \frac{200684595453464 \sqrt{3}}{7065021829779} \right)} + 2 \sqrt{- \frac{\sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658}}{27648} + \frac{11567}{55296} + \frac{1433 \sqrt{3}}{2048}} \operatorname{atan}{\left(\frac{348554322 \sqrt{3} x}{94591 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}} + 278 \sqrt{149179599 \sqrt{3} + 316396658} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}}} - \frac{7170732 \sqrt{6} \sqrt{11567 + 12897 \sqrt{3}}}{94591 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}} + 278 \sqrt{149179599 \sqrt{3} + 316396658} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}}} - \frac{3121035 \sqrt{2} \sqrt{11567 + 12897 \sqrt{3}}}{94591 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}} + 278 \sqrt{149179599 \sqrt{3} + 316396658} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}}} + \frac{834 \sqrt{11567 + 12897 \sqrt{3}} \sqrt{149179599 \sqrt{3} + 316396658}}{94591 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}} + 278 \sqrt{149179599 \sqrt{3} + 316396658} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}}} \right)} + 2 \sqrt{- \frac{\sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658}}{27648} + \frac{11567}{55296} + \frac{1433 \sqrt{3}}{2048}} \operatorname{atan}{\left(\frac{348554322 \sqrt{3} x}{94591 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}} + 278 \sqrt{149179599 \sqrt{3} + 316396658} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}}} - \frac{834 \sqrt{11567 + 12897 \sqrt{3}} \sqrt{149179599 \sqrt{3} + 316396658}}{94591 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}} + 278 \sqrt{149179599 \sqrt{3} + 316396658} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}}} + \frac{3121035 \sqrt{2} \sqrt{11567 + 12897 \sqrt{3}}}{94591 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}} + 278 \sqrt{149179599 \sqrt{3} + 316396658} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}}} + \frac{7170732 \sqrt{6} \sqrt{11567 + 12897 \sqrt{3}}}{94591 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}} + 278 \sqrt{149179599 \sqrt{3} + 316396658} \sqrt{- 2 \sqrt{2} \sqrt{149179599 \sqrt{3} + 316396658} + 11567 + 38691 \sqrt{3}}} \right)}"," ",0,"(-25*x**3 + 25*x)/(24*x**4 + 48*x**2 + 72) + sqrt(11567/55296 + 1433*sqrt(3)/6144)*log(x**2 + x*(-556*sqrt(2)*sqrt(11567 + 12897*sqrt(3))/13513 - 1040345*sqrt(6)*sqrt(11567 + 12897*sqrt(3))/174277161 + 278*sqrt(3)*sqrt(11567 + 12897*sqrt(3))*sqrt(149179599*sqrt(3) + 316396658)/174277161) - 47610276200401*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658)/30372528846219921 - 4390831246*sqrt(6)*sqrt(149179599*sqrt(3) + 316396658)/7065021829779 + 1281046481635939181/30372528846219921 + 200684595453464*sqrt(3)/7065021829779) - sqrt(11567/55296 + 1433*sqrt(3)/6144)*log(x**2 + x*(-278*sqrt(3)*sqrt(11567 + 12897*sqrt(3))*sqrt(149179599*sqrt(3) + 316396658)/174277161 + 1040345*sqrt(6)*sqrt(11567 + 12897*sqrt(3))/174277161 + 556*sqrt(2)*sqrt(11567 + 12897*sqrt(3))/13513) - 47610276200401*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658)/30372528846219921 - 4390831246*sqrt(6)*sqrt(149179599*sqrt(3) + 316396658)/7065021829779 + 1281046481635939181/30372528846219921 + 200684595453464*sqrt(3)/7065021829779) + 2*sqrt(-sqrt(2)*sqrt(149179599*sqrt(3) + 316396658)/27648 + 11567/55296 + 1433*sqrt(3)/2048)*atan(348554322*sqrt(3)*x/(94591*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3)) + 278*sqrt(149179599*sqrt(3) + 316396658)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3))) - 7170732*sqrt(6)*sqrt(11567 + 12897*sqrt(3))/(94591*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3)) + 278*sqrt(149179599*sqrt(3) + 316396658)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3))) - 3121035*sqrt(2)*sqrt(11567 + 12897*sqrt(3))/(94591*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3)) + 278*sqrt(149179599*sqrt(3) + 316396658)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3))) + 834*sqrt(11567 + 12897*sqrt(3))*sqrt(149179599*sqrt(3) + 316396658)/(94591*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3)) + 278*sqrt(149179599*sqrt(3) + 316396658)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3)))) + 2*sqrt(-sqrt(2)*sqrt(149179599*sqrt(3) + 316396658)/27648 + 11567/55296 + 1433*sqrt(3)/2048)*atan(348554322*sqrt(3)*x/(94591*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3)) + 278*sqrt(149179599*sqrt(3) + 316396658)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3))) - 834*sqrt(11567 + 12897*sqrt(3))*sqrt(149179599*sqrt(3) + 316396658)/(94591*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3)) + 278*sqrt(149179599*sqrt(3) + 316396658)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3))) + 3121035*sqrt(2)*sqrt(11567 + 12897*sqrt(3))/(94591*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3)) + 278*sqrt(149179599*sqrt(3) + 316396658)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3))) + 7170732*sqrt(6)*sqrt(11567 + 12897*sqrt(3))/(94591*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3)) + 278*sqrt(149179599*sqrt(3) + 316396658)*sqrt(-2*sqrt(2)*sqrt(149179599*sqrt(3) + 316396658) + 11567 + 38691*sqrt(3))))","B",0
114,1,1192,0,1.323151," ","integrate((5*x**6+3*x**4+x**2+4)/x**2/(x**4+2*x**2+3)**2,x)","\frac{- 19 x^{4} - 63 x^{2} - 32}{24 x^{5} + 48 x^{3} + 72 x} - \sqrt{\frac{965}{55296} + \frac{233 \sqrt{3}}{18432}} \log{\left(x^{2} + x \left(- \frac{128 \sqrt{2} \sqrt{965 + 699 \sqrt{3}}}{517} - \frac{21793 \sqrt{6} \sqrt{965 + 699 \sqrt{3}}}{361383} + \frac{64 \sqrt{3} \sqrt{965 + 699 \sqrt{3}} \sqrt{674535 \sqrt{3} + 1198514}}{361383}\right) - \frac{8882635459 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514}}{130597672689} - \frac{20458048 \sqrt{6} \sqrt{674535 \sqrt{3} + 1198514}}{560505033} + \frac{18567565928783}{130597672689} + \frac{46950427730 \sqrt{3}}{560505033} \right)} + \sqrt{\frac{965}{55296} + \frac{233 \sqrt{3}}{18432}} \log{\left(x^{2} + x \left(- \frac{64 \sqrt{3} \sqrt{965 + 699 \sqrt{3}} \sqrt{674535 \sqrt{3} + 1198514}}{361383} + \frac{21793 \sqrt{6} \sqrt{965 + 699 \sqrt{3}}}{361383} + \frac{128 \sqrt{2} \sqrt{965 + 699 \sqrt{3}}}{517}\right) - \frac{8882635459 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514}}{130597672689} - \frac{20458048 \sqrt{6} \sqrt{674535 \sqrt{3} + 1198514}}{560505033} + \frac{18567565928783}{130597672689} + \frac{46950427730 \sqrt{3}}{560505033} \right)} + 2 \sqrt{- \frac{\sqrt{2} \sqrt{674535 \sqrt{3} + 1198514}}{27648} + \frac{965}{55296} + \frac{233 \sqrt{3}}{6144}} \operatorname{atan}{\left(\frac{722766 \sqrt{3} x}{- 64 \sqrt{674535 \sqrt{3} + 1198514} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}} + 3619 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}}} + \frac{89472 \sqrt{6} \sqrt{965 + 699 \sqrt{3}}}{- 64 \sqrt{674535 \sqrt{3} + 1198514} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}} + 3619 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}}} + \frac{65379 \sqrt{2} \sqrt{965 + 699 \sqrt{3}}}{- 64 \sqrt{674535 \sqrt{3} + 1198514} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}} + 3619 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}}} - \frac{192 \sqrt{965 + 699 \sqrt{3}} \sqrt{674535 \sqrt{3} + 1198514}}{- 64 \sqrt{674535 \sqrt{3} + 1198514} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}} + 3619 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}}} \right)} + 2 \sqrt{- \frac{\sqrt{2} \sqrt{674535 \sqrt{3} + 1198514}}{27648} + \frac{965}{55296} + \frac{233 \sqrt{3}}{6144}} \operatorname{atan}{\left(\frac{722766 \sqrt{3} x}{- 64 \sqrt{674535 \sqrt{3} + 1198514} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}} + 3619 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}}} + \frac{192 \sqrt{965 + 699 \sqrt{3}} \sqrt{674535 \sqrt{3} + 1198514}}{- 64 \sqrt{674535 \sqrt{3} + 1198514} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}} + 3619 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}}} - \frac{65379 \sqrt{2} \sqrt{965 + 699 \sqrt{3}}}{- 64 \sqrt{674535 \sqrt{3} + 1198514} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}} + 3619 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}}} - \frac{89472 \sqrt{6} \sqrt{965 + 699 \sqrt{3}}}{- 64 \sqrt{674535 \sqrt{3} + 1198514} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}} + 3619 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{674535 \sqrt{3} + 1198514} + 965 + 2097 \sqrt{3}}} \right)}"," ",0,"(-19*x**4 - 63*x**2 - 32)/(24*x**5 + 48*x**3 + 72*x) - sqrt(965/55296 + 233*sqrt(3)/18432)*log(x**2 + x*(-128*sqrt(2)*sqrt(965 + 699*sqrt(3))/517 - 21793*sqrt(6)*sqrt(965 + 699*sqrt(3))/361383 + 64*sqrt(3)*sqrt(965 + 699*sqrt(3))*sqrt(674535*sqrt(3) + 1198514)/361383) - 8882635459*sqrt(2)*sqrt(674535*sqrt(3) + 1198514)/130597672689 - 20458048*sqrt(6)*sqrt(674535*sqrt(3) + 1198514)/560505033 + 18567565928783/130597672689 + 46950427730*sqrt(3)/560505033) + sqrt(965/55296 + 233*sqrt(3)/18432)*log(x**2 + x*(-64*sqrt(3)*sqrt(965 + 699*sqrt(3))*sqrt(674535*sqrt(3) + 1198514)/361383 + 21793*sqrt(6)*sqrt(965 + 699*sqrt(3))/361383 + 128*sqrt(2)*sqrt(965 + 699*sqrt(3))/517) - 8882635459*sqrt(2)*sqrt(674535*sqrt(3) + 1198514)/130597672689 - 20458048*sqrt(6)*sqrt(674535*sqrt(3) + 1198514)/560505033 + 18567565928783/130597672689 + 46950427730*sqrt(3)/560505033) + 2*sqrt(-sqrt(2)*sqrt(674535*sqrt(3) + 1198514)/27648 + 965/55296 + 233*sqrt(3)/6144)*atan(722766*sqrt(3)*x/(-64*sqrt(674535*sqrt(3) + 1198514)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3)) + 3619*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3))) + 89472*sqrt(6)*sqrt(965 + 699*sqrt(3))/(-64*sqrt(674535*sqrt(3) + 1198514)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3)) + 3619*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3))) + 65379*sqrt(2)*sqrt(965 + 699*sqrt(3))/(-64*sqrt(674535*sqrt(3) + 1198514)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3)) + 3619*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3))) - 192*sqrt(965 + 699*sqrt(3))*sqrt(674535*sqrt(3) + 1198514)/(-64*sqrt(674535*sqrt(3) + 1198514)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3)) + 3619*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3)))) + 2*sqrt(-sqrt(2)*sqrt(674535*sqrt(3) + 1198514)/27648 + 965/55296 + 233*sqrt(3)/6144)*atan(722766*sqrt(3)*x/(-64*sqrt(674535*sqrt(3) + 1198514)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3)) + 3619*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3))) + 192*sqrt(965 + 699*sqrt(3))*sqrt(674535*sqrt(3) + 1198514)/(-64*sqrt(674535*sqrt(3) + 1198514)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3)) + 3619*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3))) - 65379*sqrt(2)*sqrt(965 + 699*sqrt(3))/(-64*sqrt(674535*sqrt(3) + 1198514)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3)) + 3619*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3))) - 89472*sqrt(6)*sqrt(965 + 699*sqrt(3))/(-64*sqrt(674535*sqrt(3) + 1198514)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3)) + 3619*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(674535*sqrt(3) + 1198514) + 965 + 2097*sqrt(3))))","B",0
115,1,60,0,0.653476," ","integrate((5*x**6+3*x**4+x**2+4)/x**4/(x**4+2*x**2+3)**2,x)","\operatorname{RootSum} {\left(2293235712 t^{4} + 12437504 t^{2} + 4405801, \left( t \mapsto t \log{\left(\frac{19707494400 t^{3}}{145412423} + \frac{357152768 t}{145412423} + x \right)} \right)\right)} + \frac{229 x^{6} + 351 x^{4} + 248 x^{2} - 96}{216 x^{7} + 432 x^{5} + 648 x^{3}}"," ",0,"RootSum(2293235712*_t**4 + 12437504*_t**2 + 4405801, Lambda(_t, _t*log(19707494400*_t**3/145412423 + 357152768*_t/145412423 + x))) + (229*x**6 + 351*x**4 + 248*x**2 - 96)/(216*x**7 + 432*x**5 + 648*x**3)","A",0
116,1,1202,0,1.331628," ","integrate((5*x**6+3*x**4+x**2+4)/x**6/(x**4+2*x**2+3)**2,x)","- \sqrt{\frac{1139381}{40310784} + \frac{2833 \sqrt{3}}{165888}} \log{\left(x^{2} + x \left(- \frac{3848 \sqrt{2} \sqrt{1139381 + 688419 \sqrt{3}}}{248569} - \frac{769085497 \sqrt{6} \sqrt{1139381 + 688419 \sqrt{3}}}{171119622411} + \frac{1924 \sqrt{3} \sqrt{1139381 + 688419 \sqrt{3}} \sqrt{784371528639 \sqrt{3} + 1359975610922}}{171119622411}\right) - \frac{8677510907569510603 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922}}{29281925174083213452921} - \frac{21752950947364 \sqrt{6} \sqrt{784371528639 \sqrt{3} + 1359975610922}}{127605100269239577} + \frac{20196165220927340076543947}{29281925174083213452921} + \frac{50945036826336313070 \sqrt{3}}{127605100269239577} \right)} + \sqrt{\frac{1139381}{40310784} + \frac{2833 \sqrt{3}}{165888}} \log{\left(x^{2} + x \left(- \frac{1924 \sqrt{3} \sqrt{1139381 + 688419 \sqrt{3}} \sqrt{784371528639 \sqrt{3} + 1359975610922}}{171119622411} + \frac{769085497 \sqrt{6} \sqrt{1139381 + 688419 \sqrt{3}}}{171119622411} + \frac{3848 \sqrt{2} \sqrt{1139381 + 688419 \sqrt{3}}}{248569}\right) - \frac{8677510907569510603 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922}}{29281925174083213452921} - \frac{21752950947364 \sqrt{6} \sqrt{784371528639 \sqrt{3} + 1359975610922}}{127605100269239577} + \frac{20196165220927340076543947}{29281925174083213452921} + \frac{50945036826336313070 \sqrt{3}}{127605100269239577} \right)} + 2 \sqrt{- \frac{\sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922}}{20155392} + \frac{1139381}{40310784} + \frac{2833 \sqrt{3}}{55296}} \operatorname{atan}{\left(\frac{342239244822 \sqrt{3} x}{- 1924 \sqrt{784371528639 \sqrt{3} + 1359975610922} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}} + 115087447 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}}} + \frac{2649036312 \sqrt{6} \sqrt{1139381 + 688419 \sqrt{3}}}{- 1924 \sqrt{784371528639 \sqrt{3} + 1359975610922} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}} + 115087447 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}}} + \frac{2307256491 \sqrt{2} \sqrt{1139381 + 688419 \sqrt{3}}}{- 1924 \sqrt{784371528639 \sqrt{3} + 1359975610922} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}} + 115087447 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}}} - \frac{5772 \sqrt{1139381 + 688419 \sqrt{3}} \sqrt{784371528639 \sqrt{3} + 1359975610922}}{- 1924 \sqrt{784371528639 \sqrt{3} + 1359975610922} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}} + 115087447 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}}} \right)} + 2 \sqrt{- \frac{\sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922}}{20155392} + \frac{1139381}{40310784} + \frac{2833 \sqrt{3}}{55296}} \operatorname{atan}{\left(\frac{342239244822 \sqrt{3} x}{- 1924 \sqrt{784371528639 \sqrt{3} + 1359975610922} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}} + 115087447 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}}} + \frac{5772 \sqrt{1139381 + 688419 \sqrt{3}} \sqrt{784371528639 \sqrt{3} + 1359975610922}}{- 1924 \sqrt{784371528639 \sqrt{3} + 1359975610922} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}} + 115087447 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}}} - \frac{2307256491 \sqrt{2} \sqrt{1139381 + 688419 \sqrt{3}}}{- 1924 \sqrt{784371528639 \sqrt{3} + 1359975610922} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}} + 115087447 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}}} - \frac{2649036312 \sqrt{6} \sqrt{1139381 + 688419 \sqrt{3}}}{- 1924 \sqrt{784371528639 \sqrt{3} + 1359975610922} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}} + 115087447 \sqrt{2} \sqrt{- 2 \sqrt{2} \sqrt{784371528639 \sqrt{3} + 1359975610922} + 1139381 + 2065257 \sqrt{3}}} \right)} + \frac{- 2435 x^{8} - 2475 x^{6} - 3928 x^{4} + 984 x^{2} - 864}{3240 x^{9} + 6480 x^{7} + 9720 x^{5}}"," ",0,"-sqrt(1139381/40310784 + 2833*sqrt(3)/165888)*log(x**2 + x*(-3848*sqrt(2)*sqrt(1139381 + 688419*sqrt(3))/248569 - 769085497*sqrt(6)*sqrt(1139381 + 688419*sqrt(3))/171119622411 + 1924*sqrt(3)*sqrt(1139381 + 688419*sqrt(3))*sqrt(784371528639*sqrt(3) + 1359975610922)/171119622411) - 8677510907569510603*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922)/29281925174083213452921 - 21752950947364*sqrt(6)*sqrt(784371528639*sqrt(3) + 1359975610922)/127605100269239577 + 20196165220927340076543947/29281925174083213452921 + 50945036826336313070*sqrt(3)/127605100269239577) + sqrt(1139381/40310784 + 2833*sqrt(3)/165888)*log(x**2 + x*(-1924*sqrt(3)*sqrt(1139381 + 688419*sqrt(3))*sqrt(784371528639*sqrt(3) + 1359975610922)/171119622411 + 769085497*sqrt(6)*sqrt(1139381 + 688419*sqrt(3))/171119622411 + 3848*sqrt(2)*sqrt(1139381 + 688419*sqrt(3))/248569) - 8677510907569510603*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922)/29281925174083213452921 - 21752950947364*sqrt(6)*sqrt(784371528639*sqrt(3) + 1359975610922)/127605100269239577 + 20196165220927340076543947/29281925174083213452921 + 50945036826336313070*sqrt(3)/127605100269239577) + 2*sqrt(-sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922)/20155392 + 1139381/40310784 + 2833*sqrt(3)/55296)*atan(342239244822*sqrt(3)*x/(-1924*sqrt(784371528639*sqrt(3) + 1359975610922)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3)) + 115087447*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3))) + 2649036312*sqrt(6)*sqrt(1139381 + 688419*sqrt(3))/(-1924*sqrt(784371528639*sqrt(3) + 1359975610922)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3)) + 115087447*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3))) + 2307256491*sqrt(2)*sqrt(1139381 + 688419*sqrt(3))/(-1924*sqrt(784371528639*sqrt(3) + 1359975610922)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3)) + 115087447*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3))) - 5772*sqrt(1139381 + 688419*sqrt(3))*sqrt(784371528639*sqrt(3) + 1359975610922)/(-1924*sqrt(784371528639*sqrt(3) + 1359975610922)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3)) + 115087447*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3)))) + 2*sqrt(-sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922)/20155392 + 1139381/40310784 + 2833*sqrt(3)/55296)*atan(342239244822*sqrt(3)*x/(-1924*sqrt(784371528639*sqrt(3) + 1359975610922)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3)) + 115087447*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3))) + 5772*sqrt(1139381 + 688419*sqrt(3))*sqrt(784371528639*sqrt(3) + 1359975610922)/(-1924*sqrt(784371528639*sqrt(3) + 1359975610922)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3)) + 115087447*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3))) - 2307256491*sqrt(2)*sqrt(1139381 + 688419*sqrt(3))/(-1924*sqrt(784371528639*sqrt(3) + 1359975610922)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3)) + 115087447*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3))) - 2649036312*sqrt(6)*sqrt(1139381 + 688419*sqrt(3))/(-1924*sqrt(784371528639*sqrt(3) + 1359975610922)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3)) + 115087447*sqrt(2)*sqrt(-2*sqrt(2)*sqrt(784371528639*sqrt(3) + 1359975610922) + 1139381 + 2065257*sqrt(3)))) + (-2435*x**8 - 2475*x**6 - 3928*x**4 + 984*x**2 - 864)/(3240*x**9 + 6480*x**7 + 9720*x**5)","B",0
117,1,1204,0,1.349808," ","integrate(x**10*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**3,x)","x^{5} - 9 x^{3} + 58 x + \frac{252 x^{7} + 3809 x^{5} + 6666 x^{3} + 8415 x}{64 x^{8} + 256 x^{6} + 640 x^{4} + 768 x^{2} + 576} - 3 \sqrt{\frac{8595619}{262144} + \frac{7678611 \sqrt{3}}{262144}} \log{\left(x^{2} + x \left(- \frac{6788 \sqrt{3} \sqrt{8595619 + 7678611 \sqrt{3}}}{7176299} - \frac{2313785528 \sqrt{8595619 + 7678611 \sqrt{3}}}{18368002813563} + \frac{1697 \sqrt{2} \sqrt{8595619 + 7678611 \sqrt{3}} \sqrt{66002414605209 \sqrt{3} + 125383933330562}}{18368002813563}\right) - \frac{1218095240252468879279 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562}}{1012150582077174852410264907} - \frac{134353410196228 \sqrt{6} \sqrt{66002414605209 \sqrt{3} + 125383933330562}}{395442840668908030011} + \frac{18391902996311867463806959889}{1012150582077174852410264907} + \frac{5204579286823805792980 \sqrt{3}}{395442840668908030011} \right)} + 3 \sqrt{\frac{8595619}{262144} + \frac{7678611 \sqrt{3}}{262144}} \log{\left(x^{2} + x \left(- \frac{1697 \sqrt{2} \sqrt{8595619 + 7678611 \sqrt{3}} \sqrt{66002414605209 \sqrt{3} + 125383933330562}}{18368002813563} + \frac{2313785528 \sqrt{8595619 + 7678611 \sqrt{3}}}{18368002813563} + \frac{6788 \sqrt{3} \sqrt{8595619 + 7678611 \sqrt{3}}}{7176299}\right) - \frac{1218095240252468879279 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562}}{1012150582077174852410264907} - \frac{134353410196228 \sqrt{6} \sqrt{66002414605209 \sqrt{3} + 125383933330562}}{395442840668908030011} + \frac{18391902996311867463806959889}{1012150582077174852410264907} + \frac{5204579286823805792980 \sqrt{3}}{395442840668908030011} \right)} - 2 \sqrt{- \frac{9 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562}}{131072} + \frac{77360571}{262144} + \frac{207322497 \sqrt{3}}{262144}} \operatorname{atan}{\left(\frac{110208016881378 x}{22232174302 \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}} + 1697 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}}} - \frac{52122411468 \sqrt{3} \sqrt{8595619 + 7678611 \sqrt{3}}}{22232174302 \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}} + 1697 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}}} - \frac{6941356584 \sqrt{8595619 + 7678611 \sqrt{3}}}{22232174302 \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}} + 1697 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}}} + \frac{5091 \sqrt{2} \sqrt{8595619 + 7678611 \sqrt{3}} \sqrt{66002414605209 \sqrt{3} + 125383933330562}}{22232174302 \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}} + 1697 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}}} \right)} - 2 \sqrt{- \frac{9 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562}}{131072} + \frac{77360571}{262144} + \frac{207322497 \sqrt{3}}{262144}} \operatorname{atan}{\left(\frac{110208016881378 x}{22232174302 \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}} + 1697 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}}} - \frac{5091 \sqrt{2} \sqrt{8595619 + 7678611 \sqrt{3}} \sqrt{66002414605209 \sqrt{3} + 125383933330562}}{22232174302 \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}} + 1697 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}}} + \frac{6941356584 \sqrt{8595619 + 7678611 \sqrt{3}}}{22232174302 \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}} + 1697 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}}} + \frac{52122411468 \sqrt{3} \sqrt{8595619 + 7678611 \sqrt{3}}}{22232174302 \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}} + 1697 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} \sqrt{- 2 \sqrt{2} \sqrt{66002414605209 \sqrt{3} + 125383933330562} + 8595619 + 23035833 \sqrt{3}}} \right)}"," ",0,"x**5 - 9*x**3 + 58*x + (252*x**7 + 3809*x**5 + 6666*x**3 + 8415*x)/(64*x**8 + 256*x**6 + 640*x**4 + 768*x**2 + 576) - 3*sqrt(8595619/262144 + 7678611*sqrt(3)/262144)*log(x**2 + x*(-6788*sqrt(3)*sqrt(8595619 + 7678611*sqrt(3))/7176299 - 2313785528*sqrt(8595619 + 7678611*sqrt(3))/18368002813563 + 1697*sqrt(2)*sqrt(8595619 + 7678611*sqrt(3))*sqrt(66002414605209*sqrt(3) + 125383933330562)/18368002813563) - 1218095240252468879279*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)/1012150582077174852410264907 - 134353410196228*sqrt(6)*sqrt(66002414605209*sqrt(3) + 125383933330562)/395442840668908030011 + 18391902996311867463806959889/1012150582077174852410264907 + 5204579286823805792980*sqrt(3)/395442840668908030011) + 3*sqrt(8595619/262144 + 7678611*sqrt(3)/262144)*log(x**2 + x*(-1697*sqrt(2)*sqrt(8595619 + 7678611*sqrt(3))*sqrt(66002414605209*sqrt(3) + 125383933330562)/18368002813563 + 2313785528*sqrt(8595619 + 7678611*sqrt(3))/18368002813563 + 6788*sqrt(3)*sqrt(8595619 + 7678611*sqrt(3))/7176299) - 1218095240252468879279*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)/1012150582077174852410264907 - 134353410196228*sqrt(6)*sqrt(66002414605209*sqrt(3) + 125383933330562)/395442840668908030011 + 18391902996311867463806959889/1012150582077174852410264907 + 5204579286823805792980*sqrt(3)/395442840668908030011) - 2*sqrt(-9*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)/131072 + 77360571/262144 + 207322497*sqrt(3)/262144)*atan(110208016881378*x/(22232174302*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3)) + 1697*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3))) - 52122411468*sqrt(3)*sqrt(8595619 + 7678611*sqrt(3))/(22232174302*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3)) + 1697*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3))) - 6941356584*sqrt(8595619 + 7678611*sqrt(3))/(22232174302*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3)) + 1697*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3))) + 5091*sqrt(2)*sqrt(8595619 + 7678611*sqrt(3))*sqrt(66002414605209*sqrt(3) + 125383933330562)/(22232174302*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3)) + 1697*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3)))) - 2*sqrt(-9*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)/131072 + 77360571/262144 + 207322497*sqrt(3)/262144)*atan(110208016881378*x/(22232174302*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3)) + 1697*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3))) - 5091*sqrt(2)*sqrt(8595619 + 7678611*sqrt(3))*sqrt(66002414605209*sqrt(3) + 125383933330562)/(22232174302*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3)) + 1697*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3))) + 6941356584*sqrt(8595619 + 7678611*sqrt(3))/(22232174302*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3)) + 1697*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3))) + 52122411468*sqrt(3)*sqrt(8595619 + 7678611*sqrt(3))/(22232174302*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3)) + 1697*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562)*sqrt(-2*sqrt(2)*sqrt(66002414605209*sqrt(3) + 125383933330562) + 8595619 + 23035833*sqrt(3))))","B",0
118,1,82,0,0.679930," ","integrate(x**8*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**3,x)","\frac{5 x^{3}}{3} - 27 x + \frac{- 835 x^{7} - 3138 x^{5} - 4941 x^{3} - 4104 x}{64 x^{8} + 256 x^{6} + 640 x^{4} + 768 x^{2} + 576} + 21 \operatorname{RootSum} {\left(17179869184 t^{4} + 8983937024 t^{2} + 1548731523, \left( t \mapsto t \log{\left(- \frac{1107296256 t^{3}}{310800559} + \frac{438857984 t}{310800559} + x \right)} \right)\right)}"," ",0,"5*x**3/3 - 27*x + (-835*x**7 - 3138*x**5 - 4941*x**3 - 4104*x)/(64*x**8 + 256*x**6 + 640*x**4 + 768*x**2 + 576) + 21*RootSum(17179869184*_t**4 + 8983937024*_t**2 + 1548731523, Lambda(_t, _t*log(-1107296256*_t**3/310800559 + 438857984*_t/310800559 + x)))","A",0
119,1,71,0,0.656329," ","integrate(x**6*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**3,x)","5 x + \frac{406 x^{7} + 889 x^{5} + 1272 x^{3} + 531 x}{64 x^{8} + 256 x^{6} + 640 x^{4} + 768 x^{2} + 576} + \operatorname{RootSum} {\left(17179869184 t^{4} + 216955879424 t^{2} + 4152675581883, \left( t \mapsto t \log{\left(- \frac{31641829376 t^{3}}{1549210136091} - \frac{455309168896 t}{1549210136091} + x \right)} \right)\right)}"," ",0,"5*x + (406*x**7 + 889*x**5 + 1272*x**3 + 531*x)/(64*x**8 + 256*x**6 + 640*x**4 + 768*x**2 + 576) + RootSum(17179869184*_t**4 + 216955879424*_t**2 + 4152675581883, Lambda(_t, _t*log(-31641829376*_t**3/1549210136091 - 455309168896*_t/1549210136091 + x)))","A",0
120,1,1198,0,1.305736," ","integrate(x**4*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**3,x)","\frac{- 59 x^{7} + 120 x^{5} + 199 x^{3} + 414 x}{64 x^{8} + 256 x^{6} + 640 x^{4} + 768 x^{2} + 576} - \sqrt{\frac{146505}{262144} + \frac{98481 \sqrt{3}}{262144}} \log{\left(x^{2} + x \left(- \frac{307 \sqrt{6} \sqrt{48835 + 32827 \sqrt{3}} \sqrt{1603106545 \sqrt{3} + 2808846506}}{675940757} + \frac{10626354 \sqrt{3} \sqrt{48835 + 32827 \sqrt{3}}}{675940757} + \frac{1228 \sqrt{48835 + 32827 \sqrt{3}}}{20591}\right) - \frac{941929306825573 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506}}{456895906973733049} - \frac{47771215762 \sqrt{6} \sqrt{1603106545 \sqrt{3} + 2808846506}}{41754888382161} + \frac{97477949666790882353}{456895906973733049} + \frac{5200450130596150 \sqrt{3}}{41754888382161} \right)} + \sqrt{\frac{146505}{262144} + \frac{98481 \sqrt{3}}{262144}} \log{\left(x^{2} + x \left(- \frac{1228 \sqrt{48835 + 32827 \sqrt{3}}}{20591} - \frac{10626354 \sqrt{3} \sqrt{48835 + 32827 \sqrt{3}}}{675940757} + \frac{307 \sqrt{6} \sqrt{48835 + 32827 \sqrt{3}} \sqrt{1603106545 \sqrt{3} + 2808846506}}{675940757}\right) - \frac{941929306825573 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506}}{456895906973733049} - \frac{47771215762 \sqrt{6} \sqrt{1603106545 \sqrt{3} + 2808846506}}{41754888382161} + \frac{97477949666790882353}{456895906973733049} + \frac{5200450130596150 \sqrt{3}}{41754888382161} \right)} + 2 \sqrt{- \frac{3 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506}}{131072} + \frac{146505}{262144} + \frac{295443 \sqrt{3}}{262144}} \operatorname{atan}{\left(\frac{1351881514 \sqrt{3} x}{- 1894372 \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}} + 307 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}}} - \frac{40311556 \sqrt{3} \sqrt{48835 + 32827 \sqrt{3}}}{- 1894372 \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}} + 307 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}}} - \frac{31879062 \sqrt{48835 + 32827 \sqrt{3}}}{- 1894372 \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}} + 307 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}}} + \frac{921 \sqrt{2} \sqrt{48835 + 32827 \sqrt{3}} \sqrt{1603106545 \sqrt{3} + 2808846506}}{- 1894372 \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}} + 307 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}}} \right)} + 2 \sqrt{- \frac{3 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506}}{131072} + \frac{146505}{262144} + \frac{295443 \sqrt{3}}{262144}} \operatorname{atan}{\left(\frac{1351881514 \sqrt{3} x}{- 1894372 \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}} + 307 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}}} - \frac{921 \sqrt{2} \sqrt{48835 + 32827 \sqrt{3}} \sqrt{1603106545 \sqrt{3} + 2808846506}}{- 1894372 \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}} + 307 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}}} + \frac{31879062 \sqrt{48835 + 32827 \sqrt{3}}}{- 1894372 \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}} + 307 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}}} + \frac{40311556 \sqrt{3} \sqrt{48835 + 32827 \sqrt{3}}}{- 1894372 \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}} + 307 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} \sqrt{- 2 \sqrt{2} \sqrt{1603106545 \sqrt{3} + 2808846506} + 48835 + 98481 \sqrt{3}}} \right)}"," ",0,"(-59*x**7 + 120*x**5 + 199*x**3 + 414*x)/(64*x**8 + 256*x**6 + 640*x**4 + 768*x**2 + 576) - sqrt(146505/262144 + 98481*sqrt(3)/262144)*log(x**2 + x*(-307*sqrt(6)*sqrt(48835 + 32827*sqrt(3))*sqrt(1603106545*sqrt(3) + 2808846506)/675940757 + 10626354*sqrt(3)*sqrt(48835 + 32827*sqrt(3))/675940757 + 1228*sqrt(48835 + 32827*sqrt(3))/20591) - 941929306825573*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)/456895906973733049 - 47771215762*sqrt(6)*sqrt(1603106545*sqrt(3) + 2808846506)/41754888382161 + 97477949666790882353/456895906973733049 + 5200450130596150*sqrt(3)/41754888382161) + sqrt(146505/262144 + 98481*sqrt(3)/262144)*log(x**2 + x*(-1228*sqrt(48835 + 32827*sqrt(3))/20591 - 10626354*sqrt(3)*sqrt(48835 + 32827*sqrt(3))/675940757 + 307*sqrt(6)*sqrt(48835 + 32827*sqrt(3))*sqrt(1603106545*sqrt(3) + 2808846506)/675940757) - 941929306825573*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)/456895906973733049 - 47771215762*sqrt(6)*sqrt(1603106545*sqrt(3) + 2808846506)/41754888382161 + 97477949666790882353/456895906973733049 + 5200450130596150*sqrt(3)/41754888382161) + 2*sqrt(-3*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)/131072 + 146505/262144 + 295443*sqrt(3)/262144)*atan(1351881514*sqrt(3)*x/(-1894372*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3)) + 307*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3))) - 40311556*sqrt(3)*sqrt(48835 + 32827*sqrt(3))/(-1894372*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3)) + 307*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3))) - 31879062*sqrt(48835 + 32827*sqrt(3))/(-1894372*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3)) + 307*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3))) + 921*sqrt(2)*sqrt(48835 + 32827*sqrt(3))*sqrt(1603106545*sqrt(3) + 2808846506)/(-1894372*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3)) + 307*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3)))) + 2*sqrt(-3*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)/131072 + 146505/262144 + 295443*sqrt(3)/262144)*atan(1351881514*sqrt(3)*x/(-1894372*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3)) + 307*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3))) - 921*sqrt(2)*sqrt(48835 + 32827*sqrt(3))*sqrt(1603106545*sqrt(3) + 2808846506)/(-1894372*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3)) + 307*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3))) + 31879062*sqrt(48835 + 32827*sqrt(3))/(-1894372*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3)) + 307*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3))) + 40311556*sqrt(3)*sqrt(48835 + 32827*sqrt(3))/(-1894372*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3)) + 307*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506)*sqrt(-2*sqrt(2)*sqrt(1603106545*sqrt(3) + 2808846506) + 48835 + 98481*sqrt(3))))","B",0
121,1,1200,0,1.332234," ","integrate(x**2*(5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**3,x)","\frac{- 88 x^{7} - 529 x^{5} - 670 x^{3} - 759 x}{192 x^{8} + 768 x^{6} + 1920 x^{4} + 2304 x^{2} + 1728} - \sqrt{\frac{220825}{7077888} + \frac{14641 \sqrt{3}}{786432}} \log{\left(x^{2} + x \left(- \frac{47 \sqrt{6} \sqrt{1825 + 1089 \sqrt{3}} \sqrt{1987425 \sqrt{3} + 3444194}}{366993} + \frac{52016 \sqrt{3} \sqrt{1825 + 1089 \sqrt{3}}}{366993} + \frac{188 \sqrt{1825 + 1089 \sqrt{3}}}{337}\right) - \frac{24765218375 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194}}{134683862049} - \frac{38128468 \sqrt{6} \sqrt{1987425 \sqrt{3} + 3444194}}{371029923} + \frac{90413874433403}{134683862049} + \frac{144251139148 \sqrt{3}}{371029923} \right)} + \sqrt{\frac{220825}{7077888} + \frac{14641 \sqrt{3}}{786432}} \log{\left(x^{2} + x \left(- \frac{188 \sqrt{1825 + 1089 \sqrt{3}}}{337} - \frac{52016 \sqrt{3} \sqrt{1825 + 1089 \sqrt{3}}}{366993} + \frac{47 \sqrt{6} \sqrt{1825 + 1089 \sqrt{3}} \sqrt{1987425 \sqrt{3} + 3444194}}{366993}\right) - \frac{24765218375 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194}}{134683862049} - \frac{38128468 \sqrt{6} \sqrt{1987425 \sqrt{3} + 3444194}}{371029923} + \frac{90413874433403}{134683862049} + \frac{144251139148 \sqrt{3}}{371029923} \right)} + 2 \sqrt{- \frac{121 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194}}{3538944} + \frac{220825}{7077888} + \frac{14641 \sqrt{3}}{262144}} \operatorname{atan}{\left(\frac{733986 \sqrt{3} x}{15502 \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}} + 47 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}}} - \frac{204732 \sqrt{3} \sqrt{1825 + 1089 \sqrt{3}}}{15502 \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}} + 47 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}}} - \frac{156048 \sqrt{1825 + 1089 \sqrt{3}}}{15502 \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}} + 47 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}}} + \frac{141 \sqrt{2} \sqrt{1825 + 1089 \sqrt{3}} \sqrt{1987425 \sqrt{3} + 3444194}}{15502 \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}} + 47 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}}} \right)} + 2 \sqrt{- \frac{121 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194}}{3538944} + \frac{220825}{7077888} + \frac{14641 \sqrt{3}}{262144}} \operatorname{atan}{\left(\frac{733986 \sqrt{3} x}{15502 \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}} + 47 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}}} - \frac{141 \sqrt{2} \sqrt{1825 + 1089 \sqrt{3}} \sqrt{1987425 \sqrt{3} + 3444194}}{15502 \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}} + 47 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}}} + \frac{156048 \sqrt{1825 + 1089 \sqrt{3}}}{15502 \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}} + 47 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}}} + \frac{204732 \sqrt{3} \sqrt{1825 + 1089 \sqrt{3}}}{15502 \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}} + 47 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} \sqrt{- 2 \sqrt{2} \sqrt{1987425 \sqrt{3} + 3444194} + 1825 + 3267 \sqrt{3}}} \right)}"," ",0,"(-88*x**7 - 529*x**5 - 670*x**3 - 759*x)/(192*x**8 + 768*x**6 + 1920*x**4 + 2304*x**2 + 1728) - sqrt(220825/7077888 + 14641*sqrt(3)/786432)*log(x**2 + x*(-47*sqrt(6)*sqrt(1825 + 1089*sqrt(3))*sqrt(1987425*sqrt(3) + 3444194)/366993 + 52016*sqrt(3)*sqrt(1825 + 1089*sqrt(3))/366993 + 188*sqrt(1825 + 1089*sqrt(3))/337) - 24765218375*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)/134683862049 - 38128468*sqrt(6)*sqrt(1987425*sqrt(3) + 3444194)/371029923 + 90413874433403/134683862049 + 144251139148*sqrt(3)/371029923) + sqrt(220825/7077888 + 14641*sqrt(3)/786432)*log(x**2 + x*(-188*sqrt(1825 + 1089*sqrt(3))/337 - 52016*sqrt(3)*sqrt(1825 + 1089*sqrt(3))/366993 + 47*sqrt(6)*sqrt(1825 + 1089*sqrt(3))*sqrt(1987425*sqrt(3) + 3444194)/366993) - 24765218375*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)/134683862049 - 38128468*sqrt(6)*sqrt(1987425*sqrt(3) + 3444194)/371029923 + 90413874433403/134683862049 + 144251139148*sqrt(3)/371029923) + 2*sqrt(-121*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)/3538944 + 220825/7077888 + 14641*sqrt(3)/262144)*atan(733986*sqrt(3)*x/(15502*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3)) + 47*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3))) - 204732*sqrt(3)*sqrt(1825 + 1089*sqrt(3))/(15502*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3)) + 47*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3))) - 156048*sqrt(1825 + 1089*sqrt(3))/(15502*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3)) + 47*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3))) + 141*sqrt(2)*sqrt(1825 + 1089*sqrt(3))*sqrt(1987425*sqrt(3) + 3444194)/(15502*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3)) + 47*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3)))) + 2*sqrt(-121*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)/3538944 + 220825/7077888 + 14641*sqrt(3)/262144)*atan(733986*sqrt(3)*x/(15502*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3)) + 47*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3))) - 141*sqrt(2)*sqrt(1825 + 1089*sqrt(3))*sqrt(1987425*sqrt(3) + 3444194)/(15502*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3)) + 47*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3))) + 156048*sqrt(1825 + 1089*sqrt(3))/(15502*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3)) + 47*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3))) + 204732*sqrt(3)*sqrt(1825 + 1089*sqrt(3))/(15502*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3)) + 47*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194)*sqrt(-2*sqrt(2)*sqrt(1987425*sqrt(3) + 3444194) + 1825 + 3267*sqrt(3))))","B",0
122,1,1195,0,1.337243," ","integrate((5*x**6+3*x**4+x**2+4)/(x**4+2*x**2+3)**3,x)","\frac{51 x^{7} + 166 x^{5} + 181 x^{3} + 292 x}{192 x^{8} + 768 x^{6} + 1920 x^{4} + 2304 x^{2} + 1728} - \sqrt{\frac{1291}{786432} + \frac{1019 \sqrt{3}}{786432}} \log{\left(x^{2} + x \left(- \frac{55 \sqrt{6} \sqrt{1291 + 1019 \sqrt{3}} \sqrt{1315529 \sqrt{3} + 2390882}}{867169} + \frac{49606 \sqrt{3} \sqrt{1291 + 1019 \sqrt{3}}}{867169} + \frac{220 \sqrt{1291 + 1019 \sqrt{3}}}{851}\right) - \frac{26628761029 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882}}{751982074561} - \frac{40176070 \sqrt{6} \sqrt{1315529 \sqrt{3} + 2390882}}{2213882457} + \frac{76094994709709}{751982074561} + \frac{133967471914 \sqrt{3}}{2213882457} \right)} + \sqrt{\frac{1291}{786432} + \frac{1019 \sqrt{3}}{786432}} \log{\left(x^{2} + x \left(- \frac{220 \sqrt{1291 + 1019 \sqrt{3}}}{851} - \frac{49606 \sqrt{3} \sqrt{1291 + 1019 \sqrt{3}}}{867169} + \frac{55 \sqrt{6} \sqrt{1291 + 1019 \sqrt{3}} \sqrt{1315529 \sqrt{3} + 2390882}}{867169}\right) - \frac{26628761029 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882}}{751982074561} - \frac{40176070 \sqrt{6} \sqrt{1315529 \sqrt{3} + 2390882}}{2213882457} + \frac{76094994709709}{751982074561} + \frac{133967471914 \sqrt{3}}{2213882457} \right)} + 2 \sqrt{- \frac{\sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882}}{393216} + \frac{1291}{786432} + \frac{1019 \sqrt{3}}{262144}} \operatorname{atan}{\left(\frac{1734338 \sqrt{3} x}{- 6808 \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}} + 55 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}}} - \frac{224180 \sqrt{3} \sqrt{1291 + 1019 \sqrt{3}}}{- 6808 \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}} + 55 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}}} - \frac{148818 \sqrt{1291 + 1019 \sqrt{3}}}{- 6808 \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}} + 55 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}}} + \frac{165 \sqrt{2} \sqrt{1291 + 1019 \sqrt{3}} \sqrt{1315529 \sqrt{3} + 2390882}}{- 6808 \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}} + 55 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}}} \right)} + 2 \sqrt{- \frac{\sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882}}{393216} + \frac{1291}{786432} + \frac{1019 \sqrt{3}}{262144}} \operatorname{atan}{\left(\frac{1734338 \sqrt{3} x}{- 6808 \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}} + 55 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}}} - \frac{165 \sqrt{2} \sqrt{1291 + 1019 \sqrt{3}} \sqrt{1315529 \sqrt{3} + 2390882}}{- 6808 \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}} + 55 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}}} + \frac{148818 \sqrt{1291 + 1019 \sqrt{3}}}{- 6808 \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}} + 55 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}}} + \frac{224180 \sqrt{3} \sqrt{1291 + 1019 \sqrt{3}}}{- 6808 \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}} + 55 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} \sqrt{- 2 \sqrt{2} \sqrt{1315529 \sqrt{3} + 2390882} + 1291 + 3057 \sqrt{3}}} \right)}"," ",0,"(51*x**7 + 166*x**5 + 181*x**3 + 292*x)/(192*x**8 + 768*x**6 + 1920*x**4 + 2304*x**2 + 1728) - sqrt(1291/786432 + 1019*sqrt(3)/786432)*log(x**2 + x*(-55*sqrt(6)*sqrt(1291 + 1019*sqrt(3))*sqrt(1315529*sqrt(3) + 2390882)/867169 + 49606*sqrt(3)*sqrt(1291 + 1019*sqrt(3))/867169 + 220*sqrt(1291 + 1019*sqrt(3))/851) - 26628761029*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)/751982074561 - 40176070*sqrt(6)*sqrt(1315529*sqrt(3) + 2390882)/2213882457 + 76094994709709/751982074561 + 133967471914*sqrt(3)/2213882457) + sqrt(1291/786432 + 1019*sqrt(3)/786432)*log(x**2 + x*(-220*sqrt(1291 + 1019*sqrt(3))/851 - 49606*sqrt(3)*sqrt(1291 + 1019*sqrt(3))/867169 + 55*sqrt(6)*sqrt(1291 + 1019*sqrt(3))*sqrt(1315529*sqrt(3) + 2390882)/867169) - 26628761029*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)/751982074561 - 40176070*sqrt(6)*sqrt(1315529*sqrt(3) + 2390882)/2213882457 + 76094994709709/751982074561 + 133967471914*sqrt(3)/2213882457) + 2*sqrt(-sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)/393216 + 1291/786432 + 1019*sqrt(3)/262144)*atan(1734338*sqrt(3)*x/(-6808*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3)) + 55*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3))) - 224180*sqrt(3)*sqrt(1291 + 1019*sqrt(3))/(-6808*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3)) + 55*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3))) - 148818*sqrt(1291 + 1019*sqrt(3))/(-6808*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3)) + 55*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3))) + 165*sqrt(2)*sqrt(1291 + 1019*sqrt(3))*sqrt(1315529*sqrt(3) + 2390882)/(-6808*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3)) + 55*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3)))) + 2*sqrt(-sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)/393216 + 1291/786432 + 1019*sqrt(3)/262144)*atan(1734338*sqrt(3)*x/(-6808*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3)) + 55*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3))) - 165*sqrt(2)*sqrt(1291 + 1019*sqrt(3))*sqrt(1315529*sqrt(3) + 2390882)/(-6808*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3)) + 55*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3))) + 148818*sqrt(1291 + 1019*sqrt(3))/(-6808*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3)) + 55*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3))) + 224180*sqrt(3)*sqrt(1291 + 1019*sqrt(3))/(-6808*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3)) + 55*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882)*sqrt(-2*sqrt(2)*sqrt(1315529*sqrt(3) + 2390882) + 1291 + 3057*sqrt(3))))","B",0
123,1,75,0,0.671525," ","integrate((5*x**6+3*x**4+x**2+4)/x**2/(x**4+2*x**2+3)**3,x)","\frac{- 166 x^{8} - 611 x^{6} - 1412 x^{4} - 1849 x^{2} - 768}{576 x^{9} + 2304 x^{7} + 5760 x^{5} + 6912 x^{3} + 5184 x} + \operatorname{RootSum} {\left(4174708211712 t^{4} + 15652880384 t^{2} + 37564641, \left( t \mapsto t \log{\left(- \frac{98146713600 t^{3}}{11971753} - \frac{9639364864 t}{323237331} + x \right)} \right)\right)}"," ",0,"(-166*x**8 - 611*x**6 - 1412*x**4 - 1849*x**2 - 768)/(576*x**9 + 2304*x**7 + 5760*x**5 + 6912*x**3 + 5184*x) + RootSum(4174708211712*_t**4 + 15652880384*_t**2 + 37564641, Lambda(_t, _t*log(-98146713600*_t**3/11971753 - 9639364864*_t/323237331 + x)))","A",0
124,1,80,0,0.688935," ","integrate((5*x**6+3*x**4+x**2+4)/x**4/(x**4+2*x**2+3)**3,x)","\operatorname{RootSum} {\left(338151365148672 t^{4} + 2622682824704 t^{2} + 19257390441, \left( t \mapsto t \log{\left(\frac{357010935644160 t^{3}}{182097141061} + \frac{26016957890816 t}{1638874269549} + x \right)} \right)\right)} + \frac{2369 x^{10} + 8644 x^{8} + 19939 x^{6} + 20090 x^{4} + 9024 x^{2} - 2304}{5184 x^{11} + 20736 x^{9} + 51840 x^{7} + 62208 x^{5} + 46656 x^{3}}"," ",0,"RootSum(338151365148672*_t**4 + 2622682824704*_t**2 + 19257390441, Lambda(_t, _t*log(357010935644160*_t**3/182097141061 + 26016957890816*_t/1638874269549 + x))) + (2369*x**10 + 8644*x**8 + 19939*x**6 + 20090*x**4 + 9024*x**2 - 2304)/(5184*x**11 + 20736*x**9 + 51840*x**7 + 62208*x**5 + 46656*x**3)","A",0
125,-1,0,0,0.000000," ","integrate(x*(g*x**6+f*x**4+e*x**2+d)/(c*x**4+b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,-1,0,0,0.000000," ","integrate(x**4*(g*x**6+f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
127,-1,0,0,0.000000," ","integrate(x**2*(g*x**6+f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,-1,0,0,0.000000," ","integrate((g*x**6+f*x**4+e*x**2+d)/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate((g*x**6+f*x**4+e*x**2+d)/x**2/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate((g*x**6+f*x**4+e*x**2+d)/x**4/(c*x**4+b*x**2+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate(x**2*(c*x**4+b*x**2+a)**p*(3*a+b*(5+2*p)*x**2+c*(7+4*p)*x**4),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate(x**5*(c*x**4+b*x**2+a)/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,1,367,0,135.140305," ","integrate(x**3*(c*x**4+b*x**2+a)/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","- \frac{i a d^{3} {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{5}{4}, - \frac{3}{4} & -1, -1, - \frac{1}{2}, 1 \\- \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{4}} - \frac{a d^{3} {G_{6, 6}^{2, 6}\left(\begin{matrix} -2, - \frac{7}{4}, - \frac{3}{2}, - \frac{5}{4}, -1, 1 &  \\- \frac{7}{4}, - \frac{5}{4} & -2, - \frac{3}{2}, - \frac{3}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{4}} - \frac{i b d^{5} {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{9}{4}, - \frac{7}{4} & -2, -2, - \frac{3}{2}, 1 \\- \frac{5}{2}, - \frac{9}{4}, -2, - \frac{7}{4}, - \frac{3}{2}, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{6}} - \frac{b d^{5} {G_{6, 6}^{2, 6}\left(\begin{matrix} -3, - \frac{11}{4}, - \frac{5}{2}, - \frac{9}{4}, -2, 1 &  \\- \frac{11}{4}, - \frac{9}{4} & -3, - \frac{5}{2}, - \frac{5}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{6}} - \frac{i c d^{7} {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{13}{4}, - \frac{11}{4} & -3, -3, - \frac{5}{2}, 1 \\- \frac{7}{2}, - \frac{13}{4}, -3, - \frac{11}{4}, - \frac{5}{2}, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{8}} - \frac{c d^{7} {G_{6, 6}^{2, 6}\left(\begin{matrix} -4, - \frac{15}{4}, - \frac{7}{2}, - \frac{13}{4}, -3, 1 &  \\- \frac{15}{4}, - \frac{13}{4} & -4, - \frac{7}{2}, - \frac{7}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{8}}"," ",0,"-I*a*d**3*meijerg(((-5/4, -3/4), (-1, -1, -1/2, 1)), ((-3/2, -5/4, -1, -3/4, -1/2, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e**4) - a*d**3*meijerg(((-2, -7/4, -3/2, -5/4, -1, 1), ()), ((-7/4, -5/4), (-2, -3/2, -3/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e**4) - I*b*d**5*meijerg(((-9/4, -7/4), (-2, -2, -3/2, 1)), ((-5/2, -9/4, -2, -7/4, -3/2, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e**6) - b*d**5*meijerg(((-3, -11/4, -5/2, -9/4, -2, 1), ()), ((-11/4, -9/4), (-3, -5/2, -5/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e**6) - I*c*d**7*meijerg(((-13/4, -11/4), (-3, -3, -5/2, 1)), ((-7/2, -13/4, -3, -11/4, -5/2, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e**8) - c*d**7*meijerg(((-4, -15/4, -7/2, -13/4, -3, 1), ()), ((-15/4, -13/4), (-4, -7/2, -7/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e**8)","C",0
134,1,350,0,90.665930," ","integrate(x*(c*x**4+b*x**2+a)/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","- \frac{i a d {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} & 0, 0, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{2}} - \frac{a d {G_{6, 6}^{2, 6}\left(\begin{matrix} -1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 1 &  \\- \frac{3}{4}, - \frac{1}{4} & -1, - \frac{1}{2}, - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{2}} - \frac{i b d^{3} {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{5}{4}, - \frac{3}{4} & -1, -1, - \frac{1}{2}, 1 \\- \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{4}} - \frac{b d^{3} {G_{6, 6}^{2, 6}\left(\begin{matrix} -2, - \frac{7}{4}, - \frac{3}{2}, - \frac{5}{4}, -1, 1 &  \\- \frac{7}{4}, - \frac{5}{4} & -2, - \frac{3}{2}, - \frac{3}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{4}} - \frac{i c d^{5} {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{9}{4}, - \frac{7}{4} & -2, -2, - \frac{3}{2}, 1 \\- \frac{5}{2}, - \frac{9}{4}, -2, - \frac{7}{4}, - \frac{3}{2}, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{6}} - \frac{c d^{5} {G_{6, 6}^{2, 6}\left(\begin{matrix} -3, - \frac{11}{4}, - \frac{5}{2}, - \frac{9}{4}, -2, 1 &  \\- \frac{11}{4}, - \frac{9}{4} & -3, - \frac{5}{2}, - \frac{5}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{6}}"," ",0,"-I*a*d*meijerg(((-1/4, 1/4), (0, 0, 1/2, 1)), ((-1/2, -1/4, 0, 1/4, 1/2, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e**2) - a*d*meijerg(((-1, -3/4, -1/2, -1/4, 0, 1), ()), ((-3/4, -1/4), (-1, -1/2, -1/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e**2) - I*b*d**3*meijerg(((-5/4, -3/4), (-1, -1, -1/2, 1)), ((-3/2, -5/4, -1, -3/4, -1/2, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e**4) - b*d**3*meijerg(((-2, -7/4, -3/2, -5/4, -1, 1), ()), ((-7/4, -5/4), (-2, -3/2, -3/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e**4) - I*c*d**5*meijerg(((-9/4, -7/4), (-2, -2, -3/2, 1)), ((-5/2, -9/4, -2, -7/4, -3/2, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e**6) - c*d**5*meijerg(((-3, -11/4, -5/2, -9/4, -2, 1), ()), ((-11/4, -9/4), (-3, -5/2, -5/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e**6)","C",0
135,1,304,0,91.278585," ","integrate((c*x**4+b*x**2+a)/x/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\frac{i a {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} - \frac{a {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} - \frac{i b d {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} & 0, 0, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{2}} - \frac{b d {G_{6, 6}^{2, 6}\left(\begin{matrix} -1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 1 &  \\- \frac{3}{4}, - \frac{1}{4} & -1, - \frac{1}{2}, - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{2}} - \frac{i c d^{3} {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{5}{4}, - \frac{3}{4} & -1, -1, - \frac{1}{2}, 1 \\- \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{4}} - \frac{c d^{3} {G_{6, 6}^{2, 6}\left(\begin{matrix} -2, - \frac{7}{4}, - \frac{3}{2}, - \frac{5}{4}, -1, 1 &  \\- \frac{7}{4}, - \frac{5}{4} & -2, - \frac{3}{2}, - \frac{3}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{4}}"," ",0,"I*a*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), d**2/(e**2*x**2))/(4*pi**(3/2)*d) - a*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*d) - I*b*d*meijerg(((-1/4, 1/4), (0, 0, 1/2, 1)), ((-1/2, -1/4, 0, 1/4, 1/2, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e**2) - b*d*meijerg(((-1, -3/4, -1/2, -1/4, 0, 1), ()), ((-3/4, -1/4), (-1, -1/2, -1/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e**2) - I*c*d**3*meijerg(((-5/4, -3/4), (-1, -1, -1/2, 1)), ((-3/2, -5/4, -1, -3/4, -1/2, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e**4) - c*d**3*meijerg(((-2, -7/4, -3/2, -5/4, -1, 1), ()), ((-7/4, -5/4), (-2, -3/2, -3/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e**4)","C",0
136,1,270,0,133.789864," ","integrate((c*x**4+b*x**2+a)/x**3/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\frac{i a e^{2} {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{7}{4}, \frac{9}{4}, 1 & 2, 2, \frac{5}{2} \\\frac{3}{2}, \frac{7}{4}, 2, \frac{9}{4}, \frac{5}{2} & 0 \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{3}} - \frac{a e^{2} {G_{6, 6}^{2, 6}\left(\begin{matrix} 1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2, 1 &  \\\frac{5}{4}, \frac{7}{4} & 1, \frac{3}{2}, \frac{3}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{3}} + \frac{i b {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} - \frac{b {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} - \frac{i c d {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} & 0, 0, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{2}} - \frac{c d {G_{6, 6}^{2, 6}\left(\begin{matrix} -1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 1 &  \\- \frac{3}{4}, - \frac{1}{4} & -1, - \frac{1}{2}, - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{2}}"," ",0,"I*a*e**2*meijerg(((7/4, 9/4, 1), (2, 2, 5/2)), ((3/2, 7/4, 2, 9/4, 5/2), (0,)), d**2/(e**2*x**2))/(4*pi**(3/2)*d**3) - a*e**2*meijerg(((1, 5/4, 3/2, 7/4, 2, 1), ()), ((5/4, 7/4), (1, 3/2, 3/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*d**3) + I*b*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), d**2/(e**2*x**2))/(4*pi**(3/2)*d) - b*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*d) - I*c*d*meijerg(((-1/4, 1/4), (0, 0, 1/2, 1)), ((-1/2, -1/4, 0, 1/4, 1/2, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e**2) - c*d*meijerg(((-1, -3/4, -1/2, -1/4, 0, 1), ()), ((-3/4, -1/4), (-1, -1/2, -1/2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e**2)","C",0
137,-1,0,0,0.000000," ","integrate((c*x**4+b*x**2+a)/x**5/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
138,-1,0,0,0.000000," ","integrate((c*x**4+b*x**2+a)/x**7/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
139,-1,0,0,0.000000," ","integrate(x**2*(c*x**4+b*x**2+a)/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,-1,0,0,0.000000," ","integrate((c*x**4+b*x**2+a)/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
141,1,287,0,104.023679," ","integrate((c*x**4+b*x**2+a)/x**2/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\frac{i a e {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & \frac{3}{2}, \frac{3}{2}, 2 \\1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2 & 0 \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} + \frac{a e {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, 1 &  \\\frac{3}{4}, \frac{5}{4} & \frac{1}{2}, 1, 1, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} - \frac{i b {G_{6, 6}^{6, 2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} & \frac{1}{2}, \frac{1}{2}, 1, 1 \\0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e} + \frac{b {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 1 &  \\- \frac{1}{4}, \frac{1}{4} & - \frac{1}{2}, 0, 0, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e} - \frac{i c d^{2} {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{4} & - \frac{1}{2}, - \frac{1}{2}, 0, 1 \\-1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{3}} + \frac{c d^{2} {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 1 &  \\- \frac{5}{4}, - \frac{3}{4} & - \frac{3}{2}, -1, -1, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e^{3}}"," ",0,"I*a*e*meijerg(((5/4, 7/4, 1), (3/2, 3/2, 2)), ((1, 5/4, 3/2, 7/4, 2), (0,)), d**2/(e**2*x**2))/(4*pi**(3/2)*d**2) + a*e*meijerg(((1/2, 3/4, 1, 5/4, 3/2, 1), ()), ((3/4, 5/4), (1/2, 1, 1, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*d**2) - I*b*meijerg(((1/4, 3/4), (1/2, 1/2, 1, 1)), ((0, 1/4, 1/2, 3/4, 1, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e) + b*meijerg(((-1/2, -1/4, 0, 1/4, 1/2, 1), ()), ((-1/4, 1/4), (-1/2, 0, 0, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e) - I*c*d**2*meijerg(((-3/4, -1/4), (-1/2, -1/2, 0, 1)), ((-1, -3/4, -1/2, -1/4, 0, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e**3) + c*d**2*meijerg(((-3/2, -5/4, -1, -3/4, -1/2, 1), ()), ((-5/4, -3/4), (-3/2, -1, -1, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e**3)","C",0
142,1,257,0,116.432822," ","integrate((c*x**4+b*x**2+a)/x**4/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\frac{i a e^{3} {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{9}{4}, \frac{11}{4}, 1 & \frac{5}{2}, \frac{5}{2}, 3 \\2, \frac{9}{4}, \frac{5}{2}, \frac{11}{4}, 3 & 0 \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{4}} + \frac{a e^{3} {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{3}{2}, \frac{7}{4}, 2, \frac{9}{4}, \frac{5}{2}, 1 &  \\\frac{7}{4}, \frac{9}{4} & \frac{3}{2}, 2, 2, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{4}} + \frac{i b e {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & \frac{3}{2}, \frac{3}{2}, 2 \\1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2 & 0 \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} + \frac{b e {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, 1 &  \\\frac{3}{4}, \frac{5}{4} & \frac{1}{2}, 1, 1, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} - \frac{i c {G_{6, 6}^{6, 2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} & \frac{1}{2}, \frac{1}{2}, 1, 1 \\0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 0 &  \end{matrix} \middle| {\frac{d^{2}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e} + \frac{c {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 1 &  \\- \frac{1}{4}, \frac{1}{4} & - \frac{1}{2}, 0, 0, 0 \end{matrix} \middle| {\frac{d^{2} e^{- 2 i \pi}}{e^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} e}"," ",0,"I*a*e**3*meijerg(((9/4, 11/4, 1), (5/2, 5/2, 3)), ((2, 9/4, 5/2, 11/4, 3), (0,)), d**2/(e**2*x**2))/(4*pi**(3/2)*d**4) + a*e**3*meijerg(((3/2, 7/4, 2, 9/4, 5/2, 1), ()), ((7/4, 9/4), (3/2, 2, 2, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*d**4) + I*b*e*meijerg(((5/4, 7/4, 1), (3/2, 3/2, 2)), ((1, 5/4, 3/2, 7/4, 2), (0,)), d**2/(e**2*x**2))/(4*pi**(3/2)*d**2) + b*e*meijerg(((1/2, 3/4, 1, 5/4, 3/2, 1), ()), ((3/4, 5/4), (1/2, 1, 1, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*d**2) - I*c*meijerg(((1/4, 3/4), (1/2, 1/2, 1, 1)), ((0, 1/4, 1/2, 3/4, 1, 0), ()), d**2/(e**2*x**2))/(4*pi**(3/2)*e) + c*meijerg(((-1/2, -1/4, 0, 1/4, 1/2, 1), ()), ((-1/4, 1/4), (-1/2, 0, 0, 0)), d**2*exp_polar(-2*I*pi)/(e**2*x**2))/(4*pi**(3/2)*e)","C",0
143,-1,0,0,0.000000," ","integrate((c*x**4+b*x**2+a)/x**6/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
144,-1,0,0,0.000000," ","integrate((c*x**4+b*x**2+a)/x**8/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
145,-1,0,0,0.000000," ","integrate((c*x**4+b*x**2+a)/x**10/(-e*x+d)**(1/2)/(e*x+d)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
