1,1,169,149,0.002000," ","int((e*x^3+d)^5*(c*x^6+b*x^3+a),x)","\frac{c \,e^{5} x^{22}}{22}+\frac{\left(e^{5} b +5 d \,e^{4} c \right) x^{19}}{19}+\frac{\left(e^{5} a +5 d \,e^{4} b +10 d^{2} e^{3} c \right) x^{16}}{16}+\frac{\left(5 d \,e^{4} a +10 d^{2} e^{3} b +10 d^{3} e^{2} c \right) x^{13}}{13}+\frac{\left(10 d^{2} e^{3} a +10 d^{3} e^{2} b +5 d^{4} e c \right) x^{10}}{10}+a \,d^{5} x +\frac{\left(10 a \,d^{3} e^{2}+5 d^{4} e b +c \,d^{5}\right) x^{7}}{7}+\frac{\left(5 d^{4} e a +d^{5} b \right) x^{4}}{4}"," ",0,"1/22*c*e^5*x^22+1/19*(b*e^5+5*c*d*e^4)*x^19+1/16*(a*e^5+5*b*d*e^4+10*c*d^2*e^3)*x^16+1/13*(5*a*d*e^4+10*b*d^2*e^3+10*c*d^3*e^2)*x^13+1/10*(10*a*d^2*e^3+10*b*d^3*e^2+5*c*d^4*e)*x^10+1/7*(10*a*d^3*e^2+5*b*d^4*e+c*d^5)*x^7+1/4*(5*a*d^4*e+b*d^5)*x^4+a*d^5*x","A"
2,1,136,123,0.000000," ","int((e*x^3+d)^4*(c*x^6+b*x^3+a),x)","\frac{c \,e^{4} x^{19}}{19}+\frac{\left(e^{4} b +4 d \,e^{3} c \right) x^{16}}{16}+\frac{\left(e^{4} a +4 d \,e^{3} b +6 e^{2} d^{2} c \right) x^{13}}{13}+\frac{\left(4 d \,e^{3} a +6 e^{2} d^{2} b +4 c \,d^{3} e \right) x^{10}}{10}+\frac{\left(6 a \,d^{2} e^{2}+4 b \,d^{3} e +c \,d^{4}\right) x^{7}}{7}+a \,d^{4} x +\frac{\left(4 d^{3} e a +d^{4} b \right) x^{4}}{4}"," ",0,"1/19*c*e^4*x^19+1/16*(b*e^4+4*c*d*e^3)*x^16+1/13*(a*e^4+4*b*d*e^3+6*c*d^2*e^2)*x^13+1/10*(4*a*d*e^3+6*b*d^2*e^2+4*c*d^3*e)*x^10+1/7*(6*a*d^2*e^2+4*b*d^3*e+c*d^4)*x^7+1/4*(4*a*d^3*e+b*d^4)*x^4+a*d^4*x","A"
3,1,103,93,0.000000," ","int((e*x^3+d)^3*(c*x^6+b*x^3+a),x)","\frac{c \,e^{3} x^{16}}{16}+\frac{\left(e^{3} b +3 c d \,e^{2}\right) x^{13}}{13}+\frac{\left(e^{3} a +3 b d \,e^{2}+3 d^{2} e c \right) x^{10}}{10}+\frac{\left(3 a d \,e^{2}+3 b \,d^{2} e +c \,d^{3}\right) x^{7}}{7}+a \,d^{3} x +\frac{\left(3 a \,d^{2} e +b \,d^{3}\right) x^{4}}{4}"," ",0,"1/16*c*e^3*x^16+1/13*(b*e^3+3*c*d*e^2)*x^13+1/10*(a*e^3+3*b*d*e^2+3*c*d^2*e)*x^10+1/7*(3*a*d*e^2+3*b*d^2*e+c*d^3)*x^7+1/4*(3*a*d^2*e+b*d^3)*x^4+a*d^3*x","A"
4,1,70,65,0.000000," ","int((e*x^3+d)^2*(c*x^6+b*x^3+a),x)","\frac{c \,e^{2} x^{13}}{13}+\frac{\left(b \,e^{2}+2 c d e \right) x^{10}}{10}+\frac{\left(a \,e^{2}+2 d e b +c \,d^{2}\right) x^{7}}{7}+a \,d^{2} x +\frac{\left(2 d e a +b \,d^{2}\right) x^{4}}{4}"," ",0,"1/13*c*e^2*x^13+1/10*(b*e^2+2*c*d*e)*x^10+1/7*(a*e^2+2*b*d*e+c*d^2)*x^7+1/4*(2*a*d*e+b*d^2)*x^4+a*d^2*x","A"
5,1,37,36,0.001000," ","int((e*x^3+d)*(c*x^6+b*x^3+a),x)","\frac{c e \,x^{10}}{10}+\frac{\left(b e +c d \right) x^{7}}{7}+\frac{\left(a e +b d \right) x^{4}}{4}+a d x"," ",0,"a*d*x+1/4*(a*e+b*d)*x^4+1/7*(b*e+c*d)*x^7+1/10*c*e*x^10","A"
6,1,313,149,0.007000," ","int((c*x^6+b*x^3+a)/(e*x^3+d),x)","\frac{c \,x^{4}}{4 e}+\frac{\sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{d}{e}\right)^{\frac{2}{3}} e}+\frac{a \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{d}{e}\right)^{\frac{2}{3}} e}-\frac{a \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{d}{e}\right)^{\frac{2}{3}} e}-\frac{\sqrt{3}\, b d \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{2}}-\frac{b d \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{2}}+\frac{b d \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{2}}+\frac{b x}{e}+\frac{\sqrt{3}\, c \,d^{2} \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{3}}+\frac{c \,d^{2} \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{3}}-\frac{c \,d^{2} \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{3}}-\frac{c d x}{e^{2}}"," ",0,"1/4*c*x^4/e+1/e*b*x-1/e^2*c*d*x+1/3/e/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*a-1/3/e^2/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*d*b+1/3/e^3/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*c*d^2-1/6/e/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*a+1/6/e^2/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*d*b-1/6/e^3/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*c*d^2+1/3/e/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*a-1/3/e^2/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*d*b+1/3/e^3/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*c*d^2","B"
7,1,345,172,0.008000," ","int((c*x^6+b*x^3+a)/(e*x^3+d)^2,x)","\frac{a x}{3 \left(e \,x^{3}+d \right) d}-\frac{b x}{3 \left(e \,x^{3}+d \right) e}+\frac{c d x}{3 \left(e \,x^{3}+d \right) e^{2}}+\frac{2 \sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{2 a \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}-\frac{a \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} d e}+\frac{\sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{2}}+\frac{b \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{2}}-\frac{b \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{18 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{2}}-\frac{4 \sqrt{3}\, c d \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{3}}-\frac{4 c d \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{3}}+\frac{2 c d \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{9 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{3}}+\frac{c x}{e^{2}}"," ",0,"c*x/e^2+1/3/d*x/(e*x^3+d)*a-1/3/e*x/(e*x^3+d)*b+1/3/e^2*d*x/(e*x^3+d)*c+2/9/e/d/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*a+1/9/e^2/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*b-4/9/e^3*d/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*c-1/9/e/d/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*a-1/18/e^2/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*b+2/9/e^3*d/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*c+2/9/e/d/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*a+1/9/e^2/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*b-4/9/e^3*d/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*c","A"
8,1,362,199,0.010000," ","int((c*x^6+b*x^3+a)/(e*x^3+d)^3,x)","\frac{5 \sqrt{3}\, a \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{27 \left(\frac{d}{e}\right)^{\frac{2}{3}} d^{2} e}+\frac{5 a \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{27 \left(\frac{d}{e}\right)^{\frac{2}{3}} d^{2} e}-\frac{5 a \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{54 \left(\frac{d}{e}\right)^{\frac{2}{3}} d^{2} e}+\frac{\sqrt{3}\, b \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{27 \left(\frac{d}{e}\right)^{\frac{2}{3}} d \,e^{2}}+\frac{b \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{27 \left(\frac{d}{e}\right)^{\frac{2}{3}} d \,e^{2}}-\frac{b \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{54 \left(\frac{d}{e}\right)^{\frac{2}{3}} d \,e^{2}}+\frac{2 \sqrt{3}\, c \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{d}{e}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{27 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{3}}+\frac{2 c \ln \left(x +\left(\frac{d}{e}\right)^{\frac{1}{3}}\right)}{27 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{3}}-\frac{c \ln \left(x^{2}-\left(\frac{d}{e}\right)^{\frac{1}{3}} x +\left(\frac{d}{e}\right)^{\frac{2}{3}}\right)}{27 \left(\frac{d}{e}\right)^{\frac{2}{3}} e^{3}}+\frac{\frac{\left(5 a \,e^{2}+d e b -7 c \,d^{2}\right) x^{4}}{18 d^{2} e}+\frac{\left(4 a \,e^{2}-d e b -2 c \,d^{2}\right) x}{9 d \,e^{2}}}{\left(e \,x^{3}+d \right)^{2}}"," ",0,"(1/18*(5*a*e^2+b*d*e-7*c*d^2)/d^2/e*x^4+1/9*(4*a*e^2-b*d*e-2*c*d^2)/d/e^2*x)/(e*x^3+d)^2+5/27/e/d^2/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*a+1/27/e^2/d/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*b+2/27/e^3/(d/e)^(2/3)*ln(x+(d/e)^(1/3))*c-5/54/e/d^2/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*a-1/54/e^2/d/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*b-1/27/e^3/(d/e)^(2/3)*ln(x^2-(d/e)^(1/3)*x+(d/e)^(2/3))*c+5/27/e/d^2/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*a+1/27/e^2/d/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*b+2/27/e^3/(d/e)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(d/e)^(1/3)*x-1))*c","A"
9,1,260,120,0.006000," ","int(x^8*(e*x^3+d)/(c*x^6+b*x^3+a),x)","\frac{e \,x^{6}}{6 c}-\frac{b e \,x^{3}}{3 c^{2}}+\frac{d \,x^{3}}{3 c}+\frac{a b e \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{2 a d \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, c}-\frac{b^{3} e \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, c^{3}}+\frac{b^{2} d \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, c^{2}}-\frac{a e \ln \left(c \,x^{6}+b \,x^{3}+a \right)}{6 c^{2}}+\frac{b^{2} e \ln \left(c \,x^{6}+b \,x^{3}+a \right)}{6 c^{3}}-\frac{b d \ln \left(c \,x^{6}+b \,x^{3}+a \right)}{6 c^{2}}"," ",0,"1/6*e*x^6/c-1/3/c^2*b*e*x^3+1/3/c*d*x^3-1/6/c^2*ln(c*x^6+b*x^3+a)*a*e+1/6/c^3*ln(c*x^6+b*x^3+a)*b^2*e-1/6/c^2*ln(c*x^6+b*x^3+a)*b*d+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*a*b*e-2/3/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*a*d-1/3/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*b^3*e+1/3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*b^2*d","B"
10,1,175,87,0.003000," ","int(x^5*(e*x^3+d)/(c*x^6+b*x^3+a),x)","\frac{e \,x^{3}}{3 c}-\frac{2 a e \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, c}+\frac{b^{2} e \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, c^{2}}-\frac{b d \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, c}-\frac{b e \ln \left(c \,x^{6}+b \,x^{3}+a \right)}{6 c^{2}}+\frac{d \ln \left(c \,x^{6}+b \,x^{3}+a \right)}{6 c}"," ",0,"1/3*e*x^3/c-1/6/c^2*ln(c*x^6+b*x^3+a)*b*e+1/6/c*ln(c*x^6+b*x^3+a)*d-2/3/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*a*e+1/3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*b^2*e-1/3/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*b*d","A"
11,1,99,64,0.004000," ","int(x^2*(e*x^3+d)/(c*x^6+b*x^3+a),x)","-\frac{b e \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, c}+\frac{2 d \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}}+\frac{e \ln \left(c \,x^{6}+b \,x^{3}+a \right)}{6 c}"," ",0,"1/6*e*ln(c*x^6+b*x^3+a)/c+2/3/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*d-1/3/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*e*b/c","A"
12,1,106,70,0.006000," ","int((e*x^3+d)/x/(c*x^6+b*x^3+a),x)","-\frac{b d \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, a}+\frac{2 e \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}}+\frac{d \ln \left(x \right)}{a}-\frac{d \ln \left(c \,x^{6}+b \,x^{3}+a \right)}{6 a}"," ",0,"1/a*d*ln(x)-1/6*d*ln(c*x^6+b*x^3+a)/a+2/3/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*e-1/3/a/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*b*d","A"
13,1,191,102,0.008000," ","int((e*x^3+d)/x^4/(c*x^6+b*x^3+a),x)","-\frac{b e \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, a}-\frac{2 c d \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, a}+\frac{b^{2} d \arctan \left(\frac{2 c \,x^{3}+b}{\sqrt{4 a c -b^{2}}}\right)}{3 \sqrt{4 a c -b^{2}}\, a^{2}}+\frac{e \ln \left(x \right)}{a}-\frac{e \ln \left(c \,x^{6}+b \,x^{3}+a \right)}{6 a}-\frac{b d \ln \left(x \right)}{a^{2}}+\frac{b d \ln \left(c \,x^{6}+b \,x^{3}+a \right)}{6 a^{2}}-\frac{d}{3 a \,x^{3}}"," ",0,"-1/3/a*d/x^3+1/a*ln(x)*e-1/a^2*ln(x)*b*d-1/6/a*ln(c*x^6+b*x^3+a)*e+1/6/a^2*ln(c*x^6+b*x^3+a)*b*d-1/3/a/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*b*e-2/3/a/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*c*d+1/3/a^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x^3+b)/(4*a*c-b^2)^(1/2))*b^2*d","A"
14,1,70,580,0.013000," ","int(x^4*(e*x^3+d)/(c*x^6+b*x^3+a),x)","\frac{e \,x^{2}}{2 c}-\frac{\left(\left(b e -c d \right) \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{4}+\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right) a e \right) \ln \left(-\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)+x \right)}{3 c \left(2 \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{5} c +\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{2} b \right)}"," ",0,"1/2*e*x^2/c-1/3/c*sum(((b*e-c*d)*_R^4+_R*a*e)/(2*_R^5*c+_R^2*b)*ln(-_R+x),_R=RootOf(_Z^6*c+_Z^3*b+a))","C"
15,1,67,577,0.004000," ","int(x^3*(e*x^3+d)/(c*x^6+b*x^3+a),x)","\frac{e x}{c}+\frac{\left(\left(-b e +c d \right) \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{3}-a e \right) \ln \left(-\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)+x \right)}{3 c \left(2 \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{5} c +\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{2} b \right)}"," ",0,"1/c*e*x+1/3/c*sum(((-b*e+c*d)*_R^3-a*e)/(2*_R^5*c+_R^2*b)*ln(-_R+x),_R=RootOf(_Z^6*c+_Z^3*b+a))","C"
16,1,49,490,0.005000," ","int(x*(e*x^3+d)/(c*x^6+b*x^3+a),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{4} e +\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right) d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{5} c +3 \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{2} b}"," ",0,"1/3*sum((_R^4*e+_R*d)/(2*_R^5*c+_R^2*b)*ln(-_R+x),_R=RootOf(_Z^6*c+_Z^3*b+a))","C"
17,1,47,490,0.007000," ","int((e*x^3+d)/(c*x^6+b*x^3+a),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{3} e +d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{5} c +3 \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{2} b}"," ",0,"1/3*sum((_R^3*e+d)/(2*_R^5*c+_R^2*b)*ln(-_R+x),_R=RootOf(_Z^6*c+_Z^3*b+a))","C"
18,1,70,517,0.013000," ","int((e*x^3+d)/x^2/(c*x^6+b*x^3+a),x)","-\frac{\left(\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{4} c d +\left(-a e +b d \right) \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)+x \right)}{3 a \left(2 \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{5} c +\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{2} b \right)}-\frac{d}{a x}"," ",0,"-1/3/a*sum((c*d*_R^4+(-a*e+b*d)*_R)/(2*_R^5*c+_R^2*b)*ln(-_R+x),_R=RootOf(_Z^6*c+_Z^3*b+a))-1/a*d/x","C"
19,1,68,517,0.010000," ","int((e*x^3+d)/x^3/(c*x^6+b*x^3+a),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{3} c d +a e -b d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)+x \right)}{3 a \left(2 \RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{5} c +\RootOf \left(\textit{\_Z}^{6} c +\textit{\_Z}^{3} b +a \right)^{2} b \right)}-\frac{d}{2 a \,x^{2}}"," ",0,"1/3/a*sum((-_R^3*c*d+a*e-b*d)/(2*_R^5*c+_R^2*b)*ln(-_R+x),_R=RootOf(_Z^6*c+_Z^3*b+a))-1/2/a*d/x^2","C"
20,1,38,37,0.003000," ","int(x^8*(-x^3+1)/(x^6-x^3+1),x)","-\frac{x^{6}}{6}+\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{3}-1\right) \sqrt{3}}{3}\right)}{9}+\frac{\ln \left(x^{6}-x^{3}+1\right)}{6}"," ",0,"-1/6*x^6+1/6*ln(x^6-x^3+1)+1/9*3^(1/2)*arctan(1/3*(2*x^3-1)*3^(1/2))","A"
21,1,25,24,0.003000," ","int(x^5*(-x^3+1)/(x^6-x^3+1),x)","-\frac{x^{3}}{3}+\frac{2 \sqrt{3}\, \arctan \left(\frac{\left(2 x^{3}-1\right) \sqrt{3}}{3}\right)}{9}"," ",0,"-1/3*x^3+2/9*3^(1/2)*arctan(1/3*(2*x^3-1)*3^(1/2))","A"
22,1,33,32,0.003000," ","int(x^2*(-x^3+1)/(x^6-x^3+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{3}-1\right) \sqrt{3}}{3}\right)}{9}-\frac{\ln \left(x^{6}-x^{3}+1\right)}{6}"," ",0,"-1/6*ln(x^6-x^3+1)+1/9*3^(1/2)*arctan(1/3*(2*x^3-1)*3^(1/2))","A"
23,1,35,34,0.006000," ","int((-x^3+1)/x/(x^6-x^3+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{3}-1\right) \sqrt{3}}{3}\right)}{9}+\ln \left(x \right)-\frac{\ln \left(x^{6}-x^{3}+1\right)}{6}"," ",0,"-1/6*ln(x^6-x^3+1)-1/9*3^(1/2)*arctan(1/3*(2*x^3-1)*3^(1/2))+ln(x)","A"
24,1,25,24,0.006000," ","int((-x^3+1)/x^4/(x^6-x^3+1),x)","-\frac{2 \sqrt{3}\, \arctan \left(\frac{\left(2 x^{3}-1\right) \sqrt{3}}{3}\right)}{9}-\frac{1}{3 x^{3}}"," ",0,"-2/9*3^(1/2)*arctan(1/3*(2*x^3-1)*3^(1/2))-1/3/x^3","A"
25,1,46,294,0.007000," ","int(x^6*(-x^3+1)/(x^6-x^3+1),x)","-\frac{x^{4}}{4}+\frac{\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{3} \ln \left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{5}-3 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{2}}"," ",0,"-1/4*x^4+1/3*sum(1/(2*_R^5-_R^2)*_R^3*ln(-_R+x),_R=RootOf(_Z^6-_Z^3+1))","C"
26,1,44,266,0.004000," ","int(x^4*(-x^3+1)/(x^6-x^3+1),x)","-\frac{x^{2}}{2}+\frac{\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{5}-3 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{2}}"," ",0,"-1/2*x^2+1/3*sum(1/(2*_R^5-_R^2)*_R*ln(-_R+x),_R=RootOf(_Z^6-_Z^3+1))","C"
27,1,41,264,0.006000," ","int(x^3*(-x^3+1)/(x^6-x^3+1),x)","-x +\frac{\ln \left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{5}-3 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{2}}"," ",0,"-x+1/3*sum(1/(2*_R^5-_R^2)*ln(-_R+x),_R=RootOf(_Z^6-_Z^3+1))","C"
28,1,44,289,0.005000," ","int(x*(-x^3+1)/(x^6-x^3+1),x)","-\frac{\left(\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{4}-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)+x \right)}{3 \left(2 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{5}-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{2}\right)}"," ",0,"-1/3*sum((_R^4-_R)/(2*_R^5-_R^2)*ln(-_R+x),_R=RootOf(_Z^6-_Z^3+1))","C"
29,1,44,289,0.004000," ","int((-x^3+1)/(x^6-x^3+1),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{3}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)+x \right)}{6 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{5}-3 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{2}}"," ",0,"1/3*sum((-_R^3+1)/(2*_R^5-_R^2)*ln(-_R+x),_R=RootOf(_Z^6-_Z^3+1))","C"
30,1,46,294,0.007000," ","int((-x^3+1)/x^2/(x^6-x^3+1),x)","-\frac{\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{4} \ln \left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)+x \right)}{3 \left(2 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{5}-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{2}\right)}-\frac{1}{x}"," ",0,"-1/3*sum(1/(2*_R^5-_R^2)*_R^4*ln(-_R+x),_R=RootOf(_Z^6-_Z^3+1))-1/x","C"
31,1,46,294,0.007000," ","int((-x^3+1)/x^3/(x^6-x^3+1),x)","-\frac{\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{3} \ln \left(-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)+x \right)}{3 \left(2 \RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{5}-\RootOf \left(\textit{\_Z}^{6}-\textit{\_Z}^{3}+1\right)^{2}\right)}-\frac{1}{2 x^{2}}"," ",0,"-1/3*sum(1/(2*_R^5-_R^2)*_R^3*ln(-_R+x),_R=RootOf(_Z^6-_Z^3+1))-1/2/x^2","C"
32,1,33,32,0.003000," ","int(x^2*(x^3-2)/(x^6-x^3+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{3}-1\right) \sqrt{3}}{3}\right)}{3}+\frac{\ln \left(x^{6}-x^{3}+1\right)}{6}"," ",0,"1/6*ln(x^6-x^3+1)-1/3*3^(1/2)*arctan(1/3*(2*x^3-1)*3^(1/2))","A"
33,1,35,34,0.006000," ","int((x^3+1)/x/(x^6-x^3+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{3}-1\right) \sqrt{3}}{3}\right)}{3}+\ln \left(x \right)-\frac{\ln \left(x^{6}-x^{3}+1\right)}{6}"," ",0,"-1/6*ln(x^6-x^3+1)+1/3*3^(1/2)*arctan(1/3*(2*x^3-1)*3^(1/2))+ln(x)","A"
34,1,35,34,0.006000," ","int((x^3+1)/(x^7-x^4+x),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{3}-1\right) \sqrt{3}}{3}\right)}{3}+\ln \left(x \right)-\frac{\ln \left(x^{6}-x^{3}+1\right)}{6}"," ",0,"1/3*3^(1/2)*arctan(1/3*(2*x^3-1)*3^(1/2))+ln(x)-1/6*ln(x^6-x^3+1)","A"
35,1,1070,321,0.255000," ","int((e*x^3+d)^(5/2)*(c*x^6+b*x^3+a),x)","\left(\frac{2 \sqrt{e \,x^{3}+d}\, e^{2} x^{7}}{17}+\frac{74 \sqrt{e \,x^{3}+d}\, d e \,x^{4}}{187}-\frac{54 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d^{3} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{187 \sqrt{e \,x^{3}+d}\, e}+\frac{106 \sqrt{e \,x^{3}+d}\, d^{2} x}{187}\right) a +\left(\frac{2 \sqrt{e \,x^{3}+d}\, e^{2} x^{10}}{23}+\frac{98 \sqrt{e \,x^{3}+d}\, d e \,x^{7}}{391}+\frac{974 \sqrt{e \,x^{3}+d}\, d^{2} x^{4}}{4301}+\frac{108 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d^{4} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{4301 \sqrt{e \,x^{3}+d}\, e^{2}}+\frac{162 \sqrt{e \,x^{3}+d}\, d^{3} x}{4301 e}\right) b +\left(\frac{2 \sqrt{e \,x^{3}+d}\, e^{2} x^{13}}{29}+\frac{122 \sqrt{e \,x^{3}+d}\, d e \,x^{10}}{667}+\frac{1562 \sqrt{e \,x^{3}+d}\, d^{2} x^{7}}{11339}+\frac{810 \sqrt{e \,x^{3}+d}\, d^{3} x^{4}}{124729 e}-\frac{864 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d^{5} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{124729 \sqrt{e \,x^{3}+d}\, e^{3}}-\frac{1296 \sqrt{e \,x^{3}+d}\, d^{4} x}{124729 e^{2}}\right) c"," ",0,"c*(2/29*e^2*x^13*(e*x^3+d)^(1/2)+122/667*d*e*x^10*(e*x^3+d)^(1/2)+1562/11339*d^2*x^7*(e*x^3+d)^(1/2)+810/124729*d^3/e*x^4*(e*x^3+d)^(1/2)-1296/124729*d^4/e^2*x*(e*x^3+d)^(1/2)-864/124729*I*d^5/e^3*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2/e*(-d*e^2)^(1/3)-1/2*I*3^(1/2)/e*(-d*e^2)^(1/3))*3^(1/2)*e/(-d*e^2)^(1/3))^(1/2)*((x-1/e*(-d*e^2)^(1/3))/(-3/2/e*(-d*e^2)^(1/3)+1/2*I*3^(1/2)/e*(-d*e^2)^(1/3)))^(1/2)*(-I*(x+1/2/e*(-d*e^2)^(1/3)+1/2*I*3^(1/2)/e*(-d*e^2)^(1/3))*3^(1/2)*e/(-d*e^2)^(1/3))^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2/e*(-d*e^2)^(1/3)-1/2*I*3^(1/2)/e*(-d*e^2)^(1/3))*3^(1/2)*e/(-d*e^2)^(1/3))^(1/2),(I*3^(1/2)/e*(-d*e^2)^(1/3)/(-3/2/e*(-d*e^2)^(1/3)+1/2*I*3^(1/2)/e*(-d*e^2)^(1/3)))^(1/2)))+b*(2/23*e^2*x^10*(e*x^3+d)^(1/2)+98/391*d*e*x^7*(e*x^3+d)^(1/2)+974/4301*d^2*x^4*(e*x^3+d)^(1/2)+162/4301*d^3/e*x*(e*x^3+d)^(1/2)+108/4301*I*d^4/e^2*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2/e*(-d*e^2)^(1/3)-1/2*I*3^(1/2)/e*(-d*e^2)^(1/3))*3^(1/2)*e/(-d*e^2)^(1/3))^(1/2)*((x-1/e*(-d*e^2)^(1/3))/(-3/2/e*(-d*e^2)^(1/3)+1/2*I*3^(1/2)/e*(-d*e^2)^(1/3)))^(1/2)*(-I*(x+1/2/e*(-d*e^2)^(1/3)+1/2*I*3^(1/2)/e*(-d*e^2)^(1/3))*3^(1/2)*e/(-d*e^2)^(1/3))^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2/e*(-d*e^2)^(1/3)-1/2*I*3^(1/2)/e*(-d*e^2)^(1/3))*3^(1/2)*e/(-d*e^2)^(1/3))^(1/2),(I*3^(1/2)/e*(-d*e^2)^(1/3)/(-3/2/e*(-d*e^2)^(1/3)+1/2*I*3^(1/2)/e*(-d*e^2)^(1/3)))^(1/2)))+a*(2/17*e^2*x^7*(e*x^3+d)^(1/2)+74/187*d*e*x^4*(e*x^3+d)^(1/2)+106/187*d^2*x*(e*x^3+d)^(1/2)-54/187*I*d^3*3^(1/2)/e*(-d*e^2)^(1/3)*(I*(x+1/2/e*(-d*e^2)^(1/3)-1/2*I*3^(1/2)/e*(-d*e^2)^(1/3))*3^(1/2)*e/(-d*e^2)^(1/3))^(1/2)*((x-1/e*(-d*e^2)^(1/3))/(-3/2/e*(-d*e^2)^(1/3)+1/2*I*3^(1/2)/e*(-d*e^2)^(1/3)))^(1/2)*(-I*(x+1/2/e*(-d*e^2)^(1/3)+1/2*I*3^(1/2)/e*(-d*e^2)^(1/3))*3^(1/2)*e/(-d*e^2)^(1/3))^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2/e*(-d*e^2)^(1/3)-1/2*I*3^(1/2)/e*(-d*e^2)^(1/3))*3^(1/2)*e/(-d*e^2)^(1/3))^(1/2),(I*3^(1/2)/e*(-d*e^2)^(1/3)/(-3/2/e*(-d*e^2)^(1/3)+1/2*I*3^(1/2)/e*(-d*e^2)^(1/3)))^(1/2)))","B"
36,1,1010,285,0.043000," ","int((e*x^3+d)^(3/2)*(c*x^6+b*x^3+a),x)","\left(\frac{2 \sqrt{e \,x^{3}+d}\, e \,x^{4}}{11}-\frac{18 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d^{2} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{55 \sqrt{e \,x^{3}+d}\, e}+\frac{28 \sqrt{e \,x^{3}+d}\, d x}{55}\right) a +\left(\frac{2 \sqrt{e \,x^{3}+d}\, e \,x^{7}}{17}+\frac{40 \sqrt{e \,x^{3}+d}\, d \,x^{4}}{187}+\frac{36 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d^{3} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{935 \sqrt{e \,x^{3}+d}\, e^{2}}+\frac{54 \sqrt{e \,x^{3}+d}\, d^{2} x}{935 e}\right) b +\left(\frac{2 \sqrt{e \,x^{3}+d}\, e \,x^{10}}{23}+\frac{52 \sqrt{e \,x^{3}+d}\, d \,x^{7}}{391}+\frac{54 \sqrt{e \,x^{3}+d}\, d^{2} x^{4}}{4301 e}-\frac{288 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d^{4} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{21505 \sqrt{e \,x^{3}+d}\, e^{3}}-\frac{432 \sqrt{e \,x^{3}+d}\, d^{3} x}{21505 e^{2}}\right) c"," ",0,"c*(2/23*e*x^10*(e*x^3+d)^(1/2)+52/391*d*x^7*(e*x^3+d)^(1/2)+54/4301*d^2/e*x^4*(e*x^3+d)^(1/2)-432/21505*d^3/e^2*x*(e*x^3+d)^(1/2)-288/21505*I*d^4/e^3*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+b*(2/17*e*x^7*(e*x^3+d)^(1/2)+40/187*d*x^4*(e*x^3+d)^(1/2)+54/935*d^2/e*x*(e*x^3+d)^(1/2)+36/935*I*d^3/e^2*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+a*(2/11*e*x^4*(e*x^3+d)^(1/2)+28/55*d*x*(e*x^3+d)^(1/2)-18/55*I*d^2*3^(1/2)*(-d*e^2)^(1/3)/e*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))","B"
37,1,956,249,0.036000," ","int((e*x^3+d)^(1/2)*(c*x^6+b*x^3+a),x)","\left(-\frac{2 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{5 \sqrt{e \,x^{3}+d}\, e}+\frac{2 \sqrt{e \,x^{3}+d}\, x}{5}\right) a +\left(\frac{2 \sqrt{e \,x^{3}+d}\, x^{4}}{11}+\frac{4 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d^{2} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{55 \sqrt{e \,x^{3}+d}\, e^{2}}+\frac{6 \sqrt{e \,x^{3}+d}\, d x}{55 e}\right) b +\left(\frac{2 \sqrt{e \,x^{3}+d}\, x^{7}}{17}+\frac{6 \sqrt{e \,x^{3}+d}\, d \,x^{4}}{187 e}-\frac{32 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d^{3} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{935 \sqrt{e \,x^{3}+d}\, e^{3}}-\frac{48 \sqrt{e \,x^{3}+d}\, d^{2} x}{935 e^{2}}\right) c"," ",0,"c*(2/17*x^7*(e*x^3+d)^(1/2)+6/187*d/e*x^4*(e*x^3+d)^(1/2)-48/935*d^2/e^2*x*(e*x^3+d)^(1/2)-32/935*I*d^3/e^3*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+b*(2/11*x^4*(e*x^3+d)^(1/2)+6/55*d/e*x*(e*x^3+d)^(1/2)+4/55*I*d^2/e^2*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+a*(2/5*x*(e*x^3+d)^(1/2)-2/5*I*d*3^(1/2)*(-d*e^2)^(1/3)/e*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))","B"
38,1,907,215,0.033000," ","int((c*x^6+b*x^3+a)/(e*x^3+d)^(1/2),x)","-\frac{2 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, a \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{3 \sqrt{e \,x^{3}+d}\, e}+\left(\frac{4 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{15 \sqrt{e \,x^{3}+d}\, e^{2}}+\frac{2 \sqrt{e \,x^{3}+d}\, x}{5 e}\right) b +\left(\frac{2 \sqrt{e \,x^{3}+d}\, x^{4}}{11 e}-\frac{32 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d^{2} \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{165 \sqrt{e \,x^{3}+d}\, e^{3}}-\frac{16 \sqrt{e \,x^{3}+d}\, d x}{55 e^{2}}\right) c"," ",0,"c*(2/11/e*x^4*(e*x^3+d)^(1/2)-16/55*d/e^2*x*(e*x^3+d)^(1/2)-32/165*I*d^2/e^3*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+b*(2/5/e*x*(e*x^3+d)^(1/2)+4/15*I*d/e^2*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))-2/3*I*a*3^(1/2)*(-d*e^2)^(1/3)/e*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2))","B"
39,1,934,226,0.046000," ","int((c*x^6+b*x^3+a)/(e*x^3+d)^(3/2),x)","\left(\frac{2 x}{3 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, d}-\frac{2 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{9 \sqrt{e \,x^{3}+d}\, d e}\right) a +\left(-\frac{2 x}{3 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, e}-\frac{4 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{9 \sqrt{e \,x^{3}+d}\, e^{2}}\right) b +\left(\frac{2 d x}{3 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, e^{2}}+\frac{32 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, d \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{45 \sqrt{e \,x^{3}+d}\, e^{3}}+\frac{2 \sqrt{e \,x^{3}+d}\, x}{5 e^{2}}\right) c"," ",0,"c*(2/3/e^2*d*x/((x^3+d/e)*e)^(1/2)+2/5/e^2*x*(e*x^3+d)^(1/2)+32/45*I*d/e^3*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+b*(-2/3/e*x/((x^3+d/e)*e)^(1/2)-4/9*I/e^2*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+a*(2/3/d*x/((x^3+d/e)*e)^(1/2)-2/9*I/d*3^(1/2)*(-d*e^2)^(1/3)/e*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))","B"
40,1,1005,246,0.051000," ","int((c*x^6+b*x^3+a)/(e*x^3+d)^(5/2),x)","\left(\frac{14 x}{27 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, d^{2}}+\frac{2 \sqrt{e \,x^{3}+d}\, x}{9 \left(x^{3}+\frac{d}{e}\right)^{2} d \,e^{2}}-\frac{14 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{81 \sqrt{e \,x^{3}+d}\, d^{2} e}\right) a +\left(\frac{4 x}{27 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, d e}-\frac{4 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{81 \sqrt{e \,x^{3}+d}\, d \,e^{2}}-\frac{2 \sqrt{e \,x^{3}+d}\, x}{9 \left(x^{3}+\frac{d}{e}\right)^{2} e^{3}}\right) b +\left(-\frac{22 x}{27 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, e^{2}}+\frac{2 \sqrt{e \,x^{3}+d}\, d x}{9 \left(x^{3}+\frac{d}{e}\right)^{2} e^{4}}-\frac{32 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{81 \sqrt{e \,x^{3}+d}\, e^{3}}\right) c"," ",0,"c*(2/9*d*x/e^4*(e*x^3+d)^(1/2)/(x^3+d/e)^2-22/27/e^2*x/((x^3+d/e)*e)^(1/2)-32/81*I/e^3*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+b*(-2/9*x/e^3*(e*x^3+d)^(1/2)/(x^3+d/e)^2+4/27/e/d*x/((x^3+d/e)*e)^(1/2)-4/81*I/e^2/d*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+a*(2/9/d*x/e^2*(e*x^3+d)^(1/2)/(x^3+d/e)^2+14/27/d^2*x/((x^3+d/e)*e)^(1/2)-14/81*I/d^2*3^(1/2)*(-d*e^2)^(1/3)/e*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))","B"
41,1,1095,282,0.054000," ","int((c*x^6+b*x^3+a)/(e*x^3+d)^(7/2),x)","\left(\frac{182 x}{405 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, d^{3}}+\frac{2 \sqrt{e \,x^{3}+d}\, x}{15 \left(x^{3}+\frac{d}{e}\right)^{3} d \,e^{3}}+\frac{26 \sqrt{e \,x^{3}+d}\, x}{135 \left(x^{3}+\frac{d}{e}\right)^{2} d^{2} e^{2}}-\frac{182 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{1215 \sqrt{e \,x^{3}+d}\, d^{3} e}\right) a +\left(\frac{28 x}{405 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, d^{2} e}+\frac{4 \sqrt{e \,x^{3}+d}\, x}{135 \left(x^{3}+\frac{d}{e}\right)^{2} d \,e^{3}}-\frac{28 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{1215 \sqrt{e \,x^{3}+d}\, d^{2} e^{2}}-\frac{2 \sqrt{e \,x^{3}+d}\, x}{15 \left(x^{3}+\frac{d}{e}\right)^{3} e^{4}}\right) b +\left(\frac{32 x}{405 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, d \,e^{2}}+\frac{2 \sqrt{e \,x^{3}+d}\, d x}{15 \left(x^{3}+\frac{d}{e}\right)^{3} e^{5}}-\frac{32 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{1215 \sqrt{e \,x^{3}+d}\, d \,e^{3}}-\frac{34 \sqrt{e \,x^{3}+d}\, x}{135 \left(x^{3}+\frac{d}{e}\right)^{2} e^{4}}\right) c"," ",0,"c*(2/15*d*x/e^5*(e*x^3+d)^(1/2)/(x^3+d/e)^3-34/135*x/e^4*(e*x^3+d)^(1/2)/(x^3+d/e)^2+32/405/e^2/d*x/((x^3+d/e)*e)^(1/2)-32/1215*I/e^3/d*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+b*(-2/15*x/e^4*(e*x^3+d)^(1/2)/(x^3+d/e)^3+4/135/d*x/e^3*(e*x^3+d)^(1/2)/(x^3+d/e)^2+28/405/e/d^2*x/((x^3+d/e)*e)^(1/2)-28/1215*I/e^2/d^2*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+a*(2/15/d*x/e^3*(e*x^3+d)^(1/2)/(x^3+d/e)^3+26/135/d^2*x/e^2*(e*x^3+d)^(1/2)/(x^3+d/e)^2+182/405/d^3*x/((x^3+d/e)*e)^(1/2)-182/1215*I/d^3*3^(1/2)*(-d*e^2)^(1/3)/e*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))","B"
42,1,1182,318,0.056000," ","int((c*x^6+b*x^3+a)/(e*x^3+d)^(9/2),x)","\left(\frac{494 x}{1215 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, d^{4}}+\frac{2 \sqrt{e \,x^{3}+d}\, x}{21 \left(x^{3}+\frac{d}{e}\right)^{4} d \,e^{4}}+\frac{38 \sqrt{e \,x^{3}+d}\, x}{315 \left(x^{3}+\frac{d}{e}\right)^{3} d^{2} e^{3}}+\frac{494 \sqrt{e \,x^{3}+d}\, x}{2835 \left(x^{3}+\frac{d}{e}\right)^{2} d^{3} e^{2}}-\frac{494 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{3645 \sqrt{e \,x^{3}+d}\, d^{4} e}\right) a +\left(\frac{52 x}{1215 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, d^{3} e}+\frac{4 \sqrt{e \,x^{3}+d}\, x}{315 \left(x^{3}+\frac{d}{e}\right)^{3} d \,e^{4}}+\frac{52 \sqrt{e \,x^{3}+d}\, x}{2835 \left(x^{3}+\frac{d}{e}\right)^{2} d^{2} e^{3}}-\frac{52 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{3645 \sqrt{e \,x^{3}+d}\, d^{3} e^{2}}-\frac{2 \sqrt{e \,x^{3}+d}\, x}{21 \left(x^{3}+\frac{d}{e}\right)^{4} e^{5}}\right) b +\left(\frac{32 x}{1215 \sqrt{\left(x^{3}+\frac{d}{e}\right) e}\, d^{2} e^{2}}+\frac{2 \sqrt{e \,x^{3}+d}\, d x}{21 \left(x^{3}+\frac{d}{e}\right)^{4} e^{6}}+\frac{32 \sqrt{e \,x^{3}+d}\, x}{2835 \left(x^{3}+\frac{d}{e}\right)^{2} d \,e^{4}}-\frac{32 i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}} \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \sqrt{\frac{x -\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{e}}{-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}}}\, \sqrt{-\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}\, \EllipticF \left(\frac{\sqrt{3}\, \sqrt{\frac{i \left(x +\frac{\left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}-\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) \sqrt{3}\, e}{\left(-d \,e^{2}\right)^{\frac{1}{3}}}}}{3}, \sqrt{\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{\left(-\frac{3 \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}+\frac{i \sqrt{3}\, \left(-d \,e^{2}\right)^{\frac{1}{3}}}{2 e}\right) e}}\right)}{3645 \sqrt{e \,x^{3}+d}\, d^{2} e^{3}}-\frac{46 \sqrt{e \,x^{3}+d}\, x}{315 \left(x^{3}+\frac{d}{e}\right)^{3} e^{5}}\right) c"," ",0,"c*(2/21*d*x/e^6*(e*x^3+d)^(1/2)/(x^3+d/e)^4-46/315*x/e^5*(e*x^3+d)^(1/2)/(x^3+d/e)^3+32/2835/d*x/e^4*(e*x^3+d)^(1/2)/(x^3+d/e)^2+32/1215/e^2/d^2*x/((x^3+d/e)*e)^(1/2)-32/3645*I/e^3/d^2*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+b*(-2/21*x/e^5*(e*x^3+d)^(1/2)/(x^3+d/e)^4+4/315/d*x/e^4*(e*x^3+d)^(1/2)/(x^3+d/e)^3+52/2835/d^2*x/e^3*(e*x^3+d)^(1/2)/(x^3+d/e)^2+52/1215/e/d^3*x/((x^3+d/e)*e)^(1/2)-52/3645*I/e^2/d^3*3^(1/2)*(-d*e^2)^(1/3)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))+a*(2/21/d*x/e^4*(e*x^3+d)^(1/2)/(x^3+d/e)^4+38/315/d^2*x/e^3*(e*x^3+d)^(1/2)/(x^3+d/e)^3+494/2835/d^3*x/e^2*(e*x^3+d)^(1/2)/(x^3+d/e)^2+494/1215/d^4*x/((x^3+d/e)*e)^(1/2)-494/3645*I/d^4*3^(1/2)*(-d*e^2)^(1/3)/e*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)*((x-(-d*e^2)^(1/3)/e)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e))^(1/2)*(-I*(x+1/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2)/(e*x^3+d)^(1/2)*EllipticF(1/3*3^(1/2)*(I*(x+1/2*(-d*e^2)^(1/3)/e-1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)*3^(1/2)/(-d*e^2)^(1/3)*e)^(1/2),(I*3^(1/2)*(-d*e^2)^(1/3)/(-3/2*(-d*e^2)^(1/3)/e+1/2*I*3^(1/2)*(-d*e^2)^(1/3)/e)/e)^(1/2)))","B"
43,1,67,351,0.006000," ","int(x^4*(e*x^4+d)/(c*x^8+b*x^4+a),x)","\frac{e x}{c}+\frac{\left(\left(-b e +c d \right) \RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{4}-a e \right) \ln \left(-\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)+x \right)}{4 c \left(2 \RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{7} c +\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{3} b \right)}"," ",0,"1/c*e*x+1/4/c*sum(((-b*e+c*d)*_R^4-a*e)/(2*_R^7*c+_R^3*b)*ln(-_R+x),_R=RootOf(_Z^8*c+_Z^4*b+a))","C"
44,1,99,64,0.004000," ","int(x^3*(e*x^4+d)/(c*x^8+b*x^4+a),x)","-\frac{b e \arctan \left(\frac{2 c \,x^{4}+b}{\sqrt{4 a c -b^{2}}}\right)}{4 \sqrt{4 a c -b^{2}}\, c}+\frac{d \arctan \left(\frac{2 c \,x^{4}+b}{\sqrt{4 a c -b^{2}}}\right)}{2 \sqrt{4 a c -b^{2}}}+\frac{e \ln \left(c \,x^{8}+b \,x^{4}+a \right)}{8 c}"," ",0,"1/8*e*ln(c*x^8+b*x^4+a)/c+1/2/(4*a*c-b^2)^(1/2)*arctan((2*c*x^4+b)/(4*a*c-b^2)^(1/2))*d-1/4/(4*a*c-b^2)^(1/2)*arctan((2*c*x^4+b)/(4*a*c-b^2)^(1/2))*e*b/c","A"
45,1,51,291,0.003000," ","int(x^2*(e*x^4+d)/(c*x^8+b*x^4+a),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{6} e +\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{2} d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{7} c +4 \RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{3} b}"," ",0,"1/4*sum((_R^6*e+_R^2*d)/(2*_R^7*c+_R^3*b)*ln(-_R+x),_R=RootOf(_Z^8*c+_Z^4*b+a))","C"
46,1,340,142,0.020000," ","int(x*(e*x^4+d)/(c*x^8+b*x^4+a),x)","\frac{\sqrt{2}\, b e \arctanh \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, b e \arctan \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, c d \arctanh \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, c d \arctan \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, e \arctanh \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, e \arctan \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}"," ",0,"-1/4*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*e+1/4/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*b*e-1/2*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*d+1/4*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*e+1/4/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*b*e-1/2*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*d","B"
47,1,47,291,0.002000," ","int((e*x^4+d)/(c*x^8+b*x^4+a),x)","\frac{\left(\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{4} e +d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{7} c +4 \RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{3} b}"," ",0,"1/4*sum((_R^4*e+d)/(2*_R^7*c+_R^3*b)*ln(-_R+x),_R=RootOf(_Z^8*c+_Z^4*b+a))","C"
48,1,106,70,0.007000," ","int((e*x^4+d)/x/(c*x^8+b*x^4+a),x)","-\frac{b d \arctan \left(\frac{2 c \,x^{4}+b}{\sqrt{4 a c -b^{2}}}\right)}{4 \sqrt{4 a c -b^{2}}\, a}+\frac{e \arctan \left(\frac{2 c \,x^{4}+b}{\sqrt{4 a c -b^{2}}}\right)}{2 \sqrt{4 a c -b^{2}}}+\frac{d \ln \left(x \right)}{a}-\frac{d \ln \left(c \,x^{8}+b \,x^{4}+a \right)}{8 a}"," ",0,"1/a*d*ln(x)-1/8*d*ln(c*x^8+b*x^4+a)/a+1/2/(4*a*c-b^2)^(1/2)*arctan((2*c*x^4+b)/(4*a*c-b^2)^(1/2))*e-1/4/a/(4*a*c-b^2)^(1/2)*arctan((2*c*x^4+b)/(4*a*c-b^2)^(1/2))*b*d","A"
49,1,72,312,0.007000," ","int((e*x^4+d)/x^2/(c*x^8+b*x^4+a),x)","-\frac{\left(\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{6} c d +\left(-a e +b d \right) \RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{2}\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)+x \right)}{4 a \left(2 \RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{7} c +\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{3} b \right)}-\frac{d}{a x}"," ",0,"-1/a*d/x-1/4/a*sum((_R^6*c*d+(-a*e+b*d)*_R^2)/(2*_R^7*c+_R^3*b)*ln(-_R+x),_R=RootOf(_Z^8*c+_Z^4*b+a))","C"
50,1,365,157,0.023000," ","int((e*x^4+d)/x^3/(c*x^8+b*x^4+a),x)","\frac{\sqrt{2}\, b c d \arctanh \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}+\frac{\sqrt{2}\, b c d \arctan \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, c e \arctanh \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}-\frac{\sqrt{2}\, c e \arctan \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{2 \sqrt{-4 a c +b^{2}}\, \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}+\frac{\sqrt{2}\, c d \arctanh \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \sqrt{\left(-b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{\sqrt{2}\, c d \arctan \left(\frac{\sqrt{2}\, c \,x^{2}}{\sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}}\right)}{4 \sqrt{\left(b +\sqrt{-4 a c +b^{2}}\right) c}\, a}-\frac{d}{2 a \,x^{2}}"," ",0,"1/4/a*c*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*d-1/2*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*e+1/4/a*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctanh(2^(1/2)/((-b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*b*d-1/4/a*c*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*d-1/2*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*e+1/4/a*c/(-4*a*c+b^2)^(1/2)*2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*arctan(2^(1/2)/((b+(-4*a*c+b^2)^(1/2))*c)^(1/2)*c*x^2)*b*d-1/2/a*d/x^2","B"
51,1,68,312,0.007000," ","int((e*x^4+d)/x^4/(c*x^8+b*x^4+a),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{4} c d +a e -b d \right) \ln \left(-\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)+x \right)}{4 a \left(2 \RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{7} c +\RootOf \left(\textit{\_Z}^{8} c +\textit{\_Z}^{4} b +a \right)^{3} b \right)}-\frac{d}{3 a \,x^{3}}"," ",0,"-1/3/a*d/x^3+1/4/a*sum((-_R^4*c*d+a*e-b*d)/(2*_R^7*c+_R^3*b)*ln(-_R+x),_R=RootOf(_Z^8*c+_Z^4*b+a))","C"
52,1,34,238,0.007000," ","int(x^4*(-x^4+1)/(x^8-x^4+1),x)","-x +\frac{\RootOf \left(9 \textit{\_Z}^{4}+1\right) \ln \left(3 \RootOf \left(9 \textit{\_Z}^{4}+1\right)^{2}+3 \RootOf \left(9 \textit{\_Z}^{4}+1\right) x +x^{2}\right)}{4}"," ",0,"-x+1/4*sum(_R*ln(3*_R^2+3*_R*x+x^2),_R=RootOf(9*_Z^4+1))","C"
53,1,33,32,0.006000," ","int(x^3*(-x^4+1)/(x^8-x^4+1),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{4}-1\right) \sqrt{3}}{3}\right)}{12}-\frac{\ln \left(x^{8}-x^{4}+1\right)}{8}"," ",0,"-1/8*ln(x^8-x^4+1)+1/12*3^(1/2)*arctan(1/3*(2*x^4-1)*3^(1/2))","A"
54,1,46,307,0.008000," ","int(x^2*(-x^4+1)/(x^8-x^4+1),x)","-\frac{\left(\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{6}-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{2}\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)+x \right)}{4 \left(2 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{7}-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{3}\right)}"," ",0,"-1/4*sum((_R^6-_R^2)/(2*_R^7-_R^3)*ln(-_R+x),_R=RootOf(_Z^8-_Z^4+1))","C"
55,1,39,38,0.017000," ","int(x*(-x^4+1)/(x^8-x^4+1),x)","-\frac{\sqrt{3}\, \ln \left(x^{4}-\sqrt{3}\, x^{2}+1\right)}{12}+\frac{\sqrt{3}\, \ln \left(x^{4}+\sqrt{3}\, x^{2}+1\right)}{12}"," ",0,"-1/12*3^(1/2)*ln(x^4-3^(1/2)*x^2+1)+1/12*3^(1/2)*ln(x^4+3^(1/2)*x^2+1)","A"
56,1,44,307,0.000000," ","int((-x^4+1)/(x^8-x^4+1),x)","\frac{\left(-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{4}+1\right) \ln \left(-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)+x \right)}{8 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{7}-4 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{3}}"," ",0,"1/4*sum((-_R^4+1)/(2*_R^7-_R^3)*ln(-_R+x),_R=RootOf(_Z^8-_Z^4+1))","C"
57,1,35,34,0.007000," ","int((-x^4+1)/x/(x^8-x^4+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x^{4}-1\right) \sqrt{3}}{3}\right)}{12}+\ln \left(x \right)-\frac{\ln \left(x^{8}-x^{4}+1\right)}{8}"," ",0,"ln(x)-1/8*ln(x^8-x^4+1)-1/12*3^(1/2)*arctan(1/3*(2*x^4-1)*3^(1/2))","A"
58,1,38,240,0.010000," ","int((-x^4+1)/x^2/(x^8-x^4+1),x)","-\frac{\RootOf \left(9 \textit{\_Z}^{4}+1\right) \ln \left(9 \RootOf \left(9 \textit{\_Z}^{4}+1\right)^{3} x -3 \RootOf \left(9 \textit{\_Z}^{4}+1\right)^{2}+x^{2}\right)}{4}-\frac{1}{x}"," ",0,"-1/x-1/4*sum(_R*ln(9*_R^3*x-3*_R^2+x^2),_R=RootOf(9*_Z^4+1))","C"
59,1,70,69,0.011000," ","int((-x^4+1)/x^3/(x^8-x^4+1),x)","-\frac{\arctan \left(2 x^{2}-\sqrt{3}\right)}{4}-\frac{\arctan \left(2 x^{2}+\sqrt{3}\right)}{4}-\frac{\sqrt{3}\, \ln \left(x^{4}-\sqrt{3}\, x^{2}+1\right)}{24}+\frac{\sqrt{3}\, \ln \left(x^{4}+\sqrt{3}\, x^{2}+1\right)}{24}-\frac{1}{2 x^{2}}"," ",0,"-1/2/x^2-1/4*arctan(2*x^2-3^(1/2))-1/4*arctan(2*x^2+3^(1/2))-1/24*3^(1/2)*ln(x^4-3^(1/2)*x^2+1)+1/24*3^(1/2)*ln(x^4+3^(1/2)*x^2+1)","A"
60,1,46,304,0.009000," ","int((-x^4+1)/x^4/(x^8-x^4+1),x)","-\frac{\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{4} \ln \left(-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)+x \right)}{4 \left(2 \RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{7}-\RootOf \left(\textit{\_Z}^{8}-\textit{\_Z}^{4}+1\right)^{3}\right)}-\frac{1}{3 x^{3}}"," ",0,"-1/3/x^3-1/4*sum(1/(2*_R^7-_R^3)*_R^4*ln(-_R+x),_R=RootOf(_Z^8-_Z^4+1))","C"
61,1,662,270,0.014000," ","int(x^3/(a+c/x^2+b/x)/(e*x+d),x)","-\frac{5 b \,c^{2} d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{2}}+\frac{2 c^{3} e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{2}}+\frac{5 b^{3} c d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{3}}-\frac{4 b^{2} c^{2} e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{3}}-\frac{b^{5} d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{4}}+\frac{b^{4} c e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{4}}+\frac{c^{2} d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a^{2}}-\frac{3 b^{2} c d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a^{3}}+\frac{b \,c^{2} e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) a^{3}}+\frac{b^{4} d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a^{4}}-\frac{b^{3} c e \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a^{4}}-\frac{d^{5} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) e^{4}}+\frac{x^{3}}{3 a e}-\frac{d \,x^{2}}{2 a \,e^{2}}-\frac{b \,x^{2}}{2 a^{2} e}+\frac{d^{2} x}{a \,e^{3}}+\frac{b d x}{a^{2} e^{2}}-\frac{c x}{a^{2} e}+\frac{b^{2} x}{a^{3} e}"," ",0,"1/3*x^3/a/e-1/2/a/e^2*x^2*d-1/2/a^2/e*x^2*b+1/a/e^3*d^2*x+1/a^2/e^2*b*d*x-1/a^2/e*c*x+1/a^3/e*b^2*x+1/2/(a*d^2-b*d*e+c*e^2)/a^2*ln(a*x^2+b*x+c)*c^2*d-3/2/(a*d^2-b*d*e+c*e^2)/a^3*ln(a*x^2+b*x+c)*b^2*c*d+1/(a*d^2-b*d*e+c*e^2)/a^3*ln(a*x^2+b*x+c)*b*c^2*e+1/2/(a*d^2-b*d*e+c*e^2)/a^4*ln(a*x^2+b*x+c)*b^4*d-1/2/(a*d^2-b*d*e+c*e^2)/a^4*ln(a*x^2+b*x+c)*b^3*c*e-5/(a*d^2-b*d*e+c*e^2)/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*c^2*d+2/(a*d^2-b*d*e+c*e^2)/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*c^3*e+5/(a*d^2-b*d*e+c*e^2)/a^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^3*c*d-4/(a*d^2-b*d*e+c*e^2)/a^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^2*c^2*e-1/(a*d^2-b*d*e+c*e^2)/a^4/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^5*d+1/(a*d^2-b*d*e+c*e^2)/a^4/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^4*c*e-1/e^4*d^5/(a*d^2-b*d*e+c*e^2)*ln(e*x+d)","B"
62,1,512,210,0.010000," ","int(x^2/(a+c/x^2+b/x)/(e*x+d),x)","\frac{2 c^{2} d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a}-\frac{4 b^{2} c d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{2}}+\frac{3 b \,c^{2} e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{2}}+\frac{b^{4} d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{3}}-\frac{b^{3} c e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{3}}+\frac{b c d \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) a^{2}}-\frac{c^{2} e \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a^{2}}-\frac{b^{3} d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a^{3}}+\frac{b^{2} c e \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a^{3}}+\frac{d^{4} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) e^{3}}+\frac{x^{2}}{2 a e}-\frac{d x}{a \,e^{2}}-\frac{b x}{a^{2} e}"," ",0,"1/2*x^2/a/e-1/a/e^2*x*d-1/a^2/e*b*x+1/(a*d^2-b*d*e+c*e^2)/a^2*ln(a*x^2+b*x+c)*b*c*d-1/2/(a*d^2-b*d*e+c*e^2)/a^2*ln(a*x^2+b*x+c)*c^2*e-1/2/(a*d^2-b*d*e+c*e^2)/a^3*ln(a*x^2+b*x+c)*b^3*d+1/2/(a*d^2-b*d*e+c*e^2)/a^3*ln(a*x^2+b*x+c)*b^2*c*e+2/(a*d^2-b*d*e+c*e^2)/a/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*c^2*d-4/(a*d^2-b*d*e+c*e^2)/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*d+3/(a*d^2-b*d*e+c*e^2)/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*c^2*e+1/(a*d^2-b*d*e+c*e^2)/a^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^4*d-1/(a*d^2-b*d*e+c*e^2)/a^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^3*c*e+1/e^3*d^4/(a*d^2-b*d*e+c*e^2)*ln(e*x+d)","B"
63,1,388,170,0.007000," ","int(x/(a+c/x^2+b/x)/(e*x+d),x)","\frac{3 b c d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a}-\frac{2 c^{2} e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a}-\frac{b^{3} d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{2}}+\frac{b^{2} c e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a^{2}}-\frac{c d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a}+\frac{b^{2} d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a^{2}}-\frac{b c e \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a^{2}}-\frac{d^{3} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) e^{2}}+\frac{x}{a e}"," ",0,"x/a/e-1/2/(a*d^2-b*d*e+c*e^2)/a*ln(a*x^2+b*x+c)*c*d+1/2/(a*d^2-b*d*e+c*e^2)/a^2*ln(a*x^2+b*x+c)*b^2*d-1/2/(a*d^2-b*d*e+c*e^2)/a^2*ln(a*x^2+b*x+c)*b*c*e+3/(a*d^2-b*d*e+c*e^2)/a/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*c*d-2/(a*d^2-b*d*e+c*e^2)/a/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*e*c^2-1/(a*d^2-b*d*e+c*e^2)/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^3*d+1/(a*d^2-b*d*e+c*e^2)/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*e-1/e^2*d^3/(a*d^2-b*d*e+c*e^2)*ln(e*x+d)","B"
64,1,275,143,0.006000," ","int(1/(a+c/x^2+b/x)/(e*x+d),x)","\frac{b^{2} d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a}-\frac{b c e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, a}-\frac{2 c d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}}-\frac{b d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a}+\frac{c e \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) a}+\frac{d^{2} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) e}"," ",0,"-1/2/(a*d^2-b*d*e+c*e^2)/a*ln(a*x^2+b*x+c)*b*d+1/2/(a*d^2-b*d*e+c*e^2)/a*ln(a*x^2+b*x+c)*c*e-2/(a*d^2-b*d*e+c*e^2)/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*c*d+1/(a*d^2-b*d*e+c*e^2)/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))/a*b^2*d-1/(a*d^2-b*d*e+c*e^2)/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))/a*b*c*e+d^2*ln(e*x+d)/e/(a*d^2-b*d*e+c*e^2)","A"
65,1,169,118,0.006000," ","int(1/(a+c/x^2+b/x)/x/(e*x+d),x)","-\frac{b d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{2 c e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}}-\frac{d \ln \left(e x +d \right)}{a \,d^{2}-d e b +c \,e^{2}}+\frac{d \ln \left(a \,x^{2}+b x +c \right)}{2 a \,d^{2}-2 d e b +2 c \,e^{2}}"," ",0,"1/2/(a*d^2-b*d*e+c*e^2)*d*ln(a*x^2+b*x+c)-1/(a*d^2-b*d*e+c*e^2)/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*d+2/(a*d^2-b*d*e+c*e^2)/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*c*e-d/(a*d^2-b*d*e+c*e^2)*ln(e*x+d)","A"
66,1,168,117,0.006000," ","int(1/(a+c/x^2+b/x)/x^2/(e*x+d),x)","\frac{2 a d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}}-\frac{b e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{e \ln \left(e x +d \right)}{a \,d^{2}-d e b +c \,e^{2}}-\frac{e \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)}"," ",0,"-1/2*e*ln(a*x^2+b*x+c)/(a*d^2-b*d*e+c*e^2)+2/(a*d^2-b*d*e+c*e^2)/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*d-1/(a*d^2-b*d*e+c*e^2)/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*e+e*ln(e*x+d)/(a*d^2-b*d*e+c*e^2)","A"
67,1,285,152,0.007000," ","int(1/(a+c/x^2+b/x)/x^3/(e*x+d),x)","-\frac{a b d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c}-\frac{2 a e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{b^{2} e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c}-\frac{a d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) c}+\frac{b e \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) c}-\frac{e^{2} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) d}+\frac{\ln \left(x \right)}{c d}"," ",0,"-1/2/(a*d^2-b*d*e+c*e^2)/c*a*ln(a*x^2+b*x+c)*d+1/2/(a*d^2-b*d*e+c*e^2)/c*ln(a*x^2+b*x+c)*b*e-1/(a*d^2-b*d*e+c*e^2)/c/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b*d-2/(a*d^2-b*d*e+c*e^2)/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*e+1/(a*d^2-b*d*e+c*e^2)/c/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^2*e+ln(x)/c/d-e^2*ln(e*x+d)/d/(a*d^2-b*d*e+c*e^2)","A"
68,1,412,187,0.011000," ","int(1/(a+c/x^2+b/x)/x^4/(e*x+d),x)","-\frac{2 a^{2} d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c}+\frac{a \,b^{2} d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c^{2}}+\frac{3 a b e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c}-\frac{b^{3} e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c^{2}}+\frac{a b d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) c^{2}}+\frac{a e \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) c}-\frac{b^{2} e \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) c^{2}}+\frac{e^{3} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) d^{2}}-\frac{b \ln \left(x \right)}{c^{2} d}-\frac{e \ln \left(x \right)}{c \,d^{2}}-\frac{1}{c d x}"," ",0,"1/2/(a*d^2-b*d*e+c*e^2)/c^2*a*ln(a*x^2+b*x+c)*b*d+1/2/(a*d^2-b*d*e+c*e^2)/c*a*ln(a*x^2+b*x+c)*e-1/2/(a*d^2-b*d*e+c*e^2)/c^2*ln(a*x^2+b*x+c)*b^2*e-2/(a*d^2-b*d*e+c*e^2)/c/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*d+1/(a*d^2-b*d*e+c*e^2)/c^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*d+3/(a*d^2-b*d*e+c*e^2)/c/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b*e-1/(a*d^2-b*d*e+c*e^2)/c^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^3*e-1/c/d/x-1/c^2/d*ln(x)*b-1/c/d^2*ln(x)*e+e^3/(a*d^2-b*d*e+c*e^2)/d^2*ln(e*x+d)","B"
69,1,562,244,0.013000," ","int(1/(a+c/x^2+b/x)/x^5/(e*x+d),x)","\frac{3 a^{2} b d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c^{2}}+\frac{2 a^{2} e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c}-\frac{a \,b^{3} d \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c^{3}}-\frac{4 a \,b^{2} e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c^{2}}+\frac{b^{4} e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \sqrt{4 a c -b^{2}}\, c^{3}}+\frac{a^{2} d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) c^{2}}-\frac{a \,b^{2} d \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) c^{3}}-\frac{a b e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) c^{2}}+\frac{b^{3} e \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right) c^{3}}-\frac{e^{4} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right) d^{3}}-\frac{a \ln \left(x \right)}{c^{2} d}+\frac{b^{2} \ln \left(x \right)}{c^{3} d}+\frac{b e \ln \left(x \right)}{c^{2} d^{2}}+\frac{e^{2} \ln \left(x \right)}{c \,d^{3}}+\frac{b}{c^{2} d x}+\frac{e}{c \,d^{2} x}-\frac{1}{2 c d \,x^{2}}"," ",0,"1/2/(a*d^2-b*d*e+c*e^2)/c^2*a^2*ln(a*x^2+b*x+c)*d-1/2/(a*d^2-b*d*e+c*e^2)/c^3*a*ln(a*x^2+b*x+c)*b^2*d-1/(a*d^2-b*d*e+c*e^2)/c^2*a*ln(a*x^2+b*x+c)*b*e+1/2/(a*d^2-b*d*e+c*e^2)/c^3*ln(a*x^2+b*x+c)*b^3*e+3/(a*d^2-b*d*e+c*e^2)/c^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*d+2/(a*d^2-b*d*e+c*e^2)/c/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*e-1/(a*d^2-b*d*e+c*e^2)/c^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*d-4/(a*d^2-b*d*e+c*e^2)/c^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*e+1/(a*d^2-b*d*e+c*e^2)/c^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^4*e-1/2/c/d/x^2+1/c^2/d/x*b+1/c/d^2/x*e-1/c^2/d*ln(x)*a+1/c^3/d*ln(x)*b^2+1/c^2/d^2*ln(x)*b*e+1/c/d^3*ln(x)*e^2-e^4/(a*d^2-b*d*e+c*e^2)/d^3*ln(e*x+d)","B"
70,1,943,335,0.014000," ","int(x^3/(a+c/x^2+b/x)/(e*x+d)^2,x)","-\frac{5 b \,c^{2} d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a}+\frac{4 c^{3} d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a}+\frac{5 b^{3} c \,d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a^{2}}-\frac{8 b^{2} c^{2} d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a^{2}}+\frac{3 b \,c^{3} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a^{2}}-\frac{b^{5} d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a^{3}}+\frac{2 b^{4} c d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a^{3}}-\frac{b^{3} c^{2} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a^{3}}+\frac{3 a \,d^{6} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} e^{4}}+\frac{c^{2} d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a}-\frac{3 b^{2} c \,d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a^{2}}+\frac{2 b \,c^{2} d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a^{2}}-\frac{c^{3} e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a^{2}}+\frac{b^{4} d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a^{3}}-\frac{b^{3} c d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a^{3}}+\frac{b^{2} c^{2} e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a^{3}}-\frac{4 b \,d^{5} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} e^{3}}+\frac{5 c \,d^{4} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} e^{2}}+\frac{d^{5}}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \left(e x +d \right) e^{4}}+\frac{x^{2}}{2 a \,e^{2}}-\frac{2 d x}{a \,e^{3}}-\frac{b x}{a^{2} e^{2}}"," ",0,"1/2*x^2/a/e^2-2/a/e^3*x*d-1/a^2/e^2*b*x+1/2/(a*d^2-b*d*e+c*e^2)^2/a*ln(a*x^2+b*x+c)*c^2*d^2-3/2/(a*d^2-b*d*e+c*e^2)^2/a^2*ln(a*x^2+b*x+c)*b^2*c*d^2+2/(a*d^2-b*d*e+c*e^2)^2/a^2*ln(a*x^2+b*x+c)*b*c^2*d*e-1/2/(a*d^2-b*d*e+c*e^2)^2/a^2*ln(a*x^2+b*x+c)*c^3*e^2+1/2/(a*d^2-b*d*e+c*e^2)^2/a^3*ln(a*x^2+b*x+c)*b^4*d^2-1/(a*d^2-b*d*e+c*e^2)^2/a^3*ln(a*x^2+b*x+c)*b^3*c*d*e+1/2/(a*d^2-b*d*e+c*e^2)^2/a^3*ln(a*x^2+b*x+c)*b^2*c^2*e^2-5/(a*d^2-b*d*e+c*e^2)^2/a/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*c^2*d^2+4/(a*d^2-b*d*e+c*e^2)^2/a/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*c^3*d*e+5/(a*d^2-b*d*e+c*e^2)^2/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^3*c*d^2-8/(a*d^2-b*d*e+c*e^2)^2/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^2*c^2*d*e+3/(a*d^2-b*d*e+c*e^2)^2/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*c^3*e^2-1/(a*d^2-b*d*e+c*e^2)^2/a^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^5*d^2+2/(a*d^2-b*d*e+c*e^2)^2/a^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^4*c*d*e-1/(a*d^2-b*d*e+c*e^2)^2/a^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^3*c^2*e^2+3/e^4*d^6/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*a-4/e^3*d^5/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*b+5/e^2*d^4/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*c+1/e^4*d^5/(a*d^2-b*d*e+c*e^2)/(e*x+d)","B"
71,1,765,268,0.011000," ","int(x^2/(a+c/x^2+b/x)/(e*x+d)^2,x)","-\frac{4 b^{2} c \,d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a}+\frac{6 b \,c^{2} d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a}-\frac{2 c^{3} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a}+\frac{b^{4} d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a^{2}}-\frac{2 b^{3} c d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a^{2}}+\frac{b^{2} c^{2} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a^{2}}+\frac{2 c^{2} d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 a \,d^{5} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} e^{3}}+\frac{b c \,d^{2} \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a}-\frac{c^{2} d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a}-\frac{b^{3} d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a^{2}}+\frac{b^{2} c d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a^{2}}-\frac{b \,c^{2} e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a^{2}}+\frac{3 b \,d^{4} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} e^{2}}-\frac{4 c \,d^{3} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} e}-\frac{d^{4}}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \left(e x +d \right) e^{3}}+\frac{x}{a \,e^{2}}"," ",0,"x/a/e^2+1/(a*d^2-b*d*e+c*e^2)^2/a*ln(a*x^2+b*x+c)*b*c*d^2-1/(a*d^2-b*d*e+c*e^2)^2/a*ln(a*x^2+b*x+c)*c^2*d*e-1/2/(a*d^2-b*d*e+c*e^2)^2/a^2*ln(a*x^2+b*x+c)*b^3*d^2+1/(a*d^2-b*d*e+c*e^2)^2/a^2*ln(a*x^2+b*x+c)*b^2*c*d*e-1/2/(a*d^2-b*d*e+c*e^2)^2/a^2*ln(a*x^2+b*x+c)*b*c^2*e^2+2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*c^2*d^2-4/(a*d^2-b*d*e+c*e^2)^2/a/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*d^2+6/(a*d^2-b*d*e+c*e^2)^2/a/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*c^2*d*e-2/(a*d^2-b*d*e+c*e^2)^2/a/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*c^3*e^2+1/(a*d^2-b*d*e+c*e^2)^2/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^4*d^2-2/(a*d^2-b*d*e+c*e^2)^2/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^3*c*d*e+1/(a*d^2-b*d*e+c*e^2)^2/a^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^2*c^2*e^2-1/e^3*d^4/(a*d^2-b*d*e+c*e^2)/(e*x+d)-2/e^3*d^5/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*a+3/e^2*d^4/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*b-4/e*d^3/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*c","B"
72,1,580,240,0.008000," ","int(x/(a+c/x^2+b/x)/(e*x+d)^2,x)","-\frac{b^{3} d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a}+\frac{2 b^{2} c d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a}-\frac{b \,c^{2} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, a}+\frac{3 b c \,d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{4 c^{2} d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{a \,d^{4} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} e^{2}}+\frac{b^{2} d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a}-\frac{b c d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a}+\frac{c^{2} e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} a}-\frac{2 b \,d^{3} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} e}+\frac{3 c \,d^{2} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}-\frac{c \,d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}+\frac{d^{3}}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \left(e x +d \right) e^{2}}"," ",0,"-1/2/(a*d^2-b*d*e+c*e^2)^2*ln(a*x^2+b*x+c)*c*d^2+1/2/(a*d^2-b*d*e+c*e^2)^2/a*ln(a*x^2+b*x+c)*b^2*d^2-1/(a*d^2-b*d*e+c*e^2)^2/a*ln(a*x^2+b*x+c)*b*c*d*e+1/2/(a*d^2-b*d*e+c*e^2)^2/a*ln(a*x^2+b*x+c)*c^2*e^2+3/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*c*d^2-4/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*c^2*d*e-1/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))/a*b^3*d^2+2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))/a*b^2*c*d*e-1/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))/a*b*c^2*e^2+d^4/(a*d^2-b*d*e+c*e^2)^2/e^2*ln(e*x+d)*a-2*d^3/(a*d^2-b*d*e+c*e^2)^2/e*ln(e*x+d)*b+3*d^2/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*c+1/e^2*d^3/(a*d^2-b*d*e+c*e^2)/(e*x+d)","B"
73,1,389,188,0.010000," ","int(1/(a+c/x^2+b/x)/(e*x+d)^2,x)","-\frac{2 a c \,d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{b^{2} d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 b c d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{2 c^{2} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{b \,d^{2} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}-\frac{b \,d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}-\frac{2 c d e \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}+\frac{c d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}-\frac{d^{2}}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \left(e x +d \right) e}"," ",0,"-1/2/(a*d^2-b*d*e+c*e^2)^2*ln(a*x^2+b*x+c)*b*d^2+1/(a*d^2-b*d*e+c*e^2)^2*ln(a*x^2+b*x+c)*c*d*e-2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*c*d^2+1/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^2*d^2-2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*c*d*e+2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*c^2*e^2-d^2/e/(a*d^2-b*d*e+c*e^2)/(e*x+d)+d^2/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*b-2*d/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*c*e","B"
74,1,328,177,0.008000," ","int(1/(a+c/x^2+b/x)/x/(e*x+d)^2,x)","-\frac{a b \,d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{4 a c d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{b c \,e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{a \,d^{2} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}+\frac{a \,d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}+\frac{c \,e^{2} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}-\frac{c \,e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}+\frac{d}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \left(e x +d \right)}"," ",0,"1/2/(a*d^2-b*d*e+c*e^2)^2*a*ln(a*x^2+b*x+c)*d^2-1/2/(a*d^2-b*d*e+c*e^2)^2*ln(a*x^2+b*x+c)*c*e^2-1/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b*d^2+4/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*c*d*e-1/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b*c*e^2+d/(a*d^2-b*d*e+c*e^2)/(e*x+d)-1/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*a*d^2+1/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*c*e^2","A"
75,1,386,183,0.009000," ","int(1/(a+c/x^2+b/x)/x^2/(e*x+d)^2,x)","\frac{2 a^{2} d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 a b d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 a c \,e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{b^{2} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{2 a d e \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}-\frac{a d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}-\frac{b \,e^{2} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}+\frac{b \,e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}-\frac{e}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \left(e x +d \right)}"," ",0,"-1/(a*d^2-b*d*e+c*e^2)^2*a*ln(a*x^2+b*x+c)*d*e+1/2/(a*d^2-b*d*e+c*e^2)^2*ln(a*x^2+b*x+c)*b*e^2+2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*d^2-2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b*d*e-2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*c*e^2+1/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^2*e^2-e/(a*d^2-b*d*e+c*e^2)/(e*x+d)+2*e/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*a*d-e^2/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*b","B"
76,1,589,242,0.013000," ","int(1/(a+c/x^2+b/x)/x^3/(e*x+d)^2,x)","-\frac{a^{2} b \,d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c}-\frac{4 a^{2} d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{2 a \,b^{2} d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c}+\frac{3 a b \,e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{b^{3} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c}-\frac{a^{2} d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c}+\frac{a b d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c}-\frac{3 a \,e^{2} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}+\frac{a \,e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2}}-\frac{b^{2} e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c}+\frac{2 b \,e^{3} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} d}-\frac{c \,e^{4} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} d^{2}}+\frac{e^{2}}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \left(e x +d \right) d}+\frac{\ln \left(x \right)}{c \,d^{2}}"," ",0,"-1/2/(a*d^2-b*d*e+c*e^2)^2/c*a^2*ln(a*x^2+b*x+c)*d^2+1/(a*d^2-b*d*e+c*e^2)^2/c*a*ln(a*x^2+b*x+c)*b*d*e+1/2/(a*d^2-b*d*e+c*e^2)^2*a*ln(a*x^2+b*x+c)*e^2-1/2/(a*d^2-b*d*e+c*e^2)^2/c*ln(a*x^2+b*x+c)*b^2*e^2-1/(a*d^2-b*d*e+c*e^2)^2/c/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*d^2-4/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*d*e+2/(a*d^2-b*d*e+c*e^2)^2/c/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*d*e+3/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b*e^2-1/(a*d^2-b*d*e+c*e^2)^2/c/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^3*e^2+ln(x)/c/d^2+e^2/d/(a*d^2-b*d*e+c*e^2)/(e*x+d)-3*e^2/(a*d^2-b*d*e+c*e^2)^2*ln(e*x+d)*a+2*e^3/(a*d^2-b*d*e+c*e^2)^2/d*ln(e*x+d)*b-e^4/(a*d^2-b*d*e+c*e^2)^2/d^2*ln(e*x+d)*c","B"
77,1,791,285,0.014000," ","int(1/(a+c/x^2+b/x)/x^4/(e*x+d)^2,x)","-\frac{2 a^{3} d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c}+\frac{a^{2} b^{2} d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c^{2}}+\frac{6 a^{2} b d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c}+\frac{2 a^{2} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 a \,b^{3} d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c^{2}}-\frac{4 a \,b^{2} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c}+\frac{b^{4} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c^{2}}+\frac{a^{2} b \,d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c^{2}}+\frac{a^{2} d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c}-\frac{a \,b^{2} d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c^{2}}-\frac{a b \,e^{2} \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c}+\frac{4 a \,e^{3} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} d}+\frac{b^{3} e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c^{2}}-\frac{3 b \,e^{4} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} d^{2}}+\frac{2 c \,e^{5} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} d^{3}}-\frac{e^{3}}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \left(e x +d \right) d^{2}}-\frac{b \ln \left(x \right)}{c^{2} d^{2}}-\frac{2 e \ln \left(x \right)}{c \,d^{3}}-\frac{1}{c \,d^{2} x}"," ",0,"1/2/c^2/(a*d^2-b*d*e+c*e^2)^2*a^2*ln(a*x^2+b*x+c)*b*d^2+1/c/(a*d^2-b*d*e+c*e^2)^2*a^2*ln(a*x^2+b*x+c)*d*e-1/c^2/(a*d^2-b*d*e+c*e^2)^2*a*ln(a*x^2+b*x+c)*b^2*d*e-1/c/(a*d^2-b*d*e+c*e^2)^2*a*ln(a*x^2+b*x+c)*b*e^2+1/2/c^2/(a*d^2-b*d*e+c*e^2)^2*ln(a*x^2+b*x+c)*b^3*e^2-2/c/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^3*d^2+1/c^2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*b^2*d^2+6/c/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*d*e+2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*e^2-2/c^2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*d*e-4/c/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*e^2+1/c^2/(a*d^2-b*d*e+c*e^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^4*e^2-1/c/d^2/x-1/c^2/d^2*ln(x)*b-2/c/d^3*ln(x)*e-e^3/(a*d^2-b*d*e+c*e^2)/d^2/(e*x+d)+4*e^3/(a*d^2-b*d*e+c*e^2)^2/d*ln(e*x+d)*a-3*e^4/(a*d^2-b*d*e+c*e^2)^2/d^2*ln(e*x+d)*b+2*e^5/(a*d^2-b*d*e+c*e^2)^2/d^3*ln(e*x+d)*c","B"
78,1,993,364,0.016000," ","int(1/(a+c/x^2+b/x)/x^5/(e*x+d)^2,x)","\frac{3 a^{3} b \,d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c^{2}}+\frac{4 a^{3} d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c}-\frac{a^{2} b^{3} d^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c^{3}}-\frac{8 a^{2} b^{2} d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c^{2}}-\frac{5 a^{2} b \,e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c}+\frac{2 a \,b^{4} d e \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c^{3}}+\frac{5 a \,b^{3} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c^{2}}-\frac{b^{5} e^{2} \arctan \left(\frac{2 a x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} \sqrt{4 a c -b^{2}}\, c^{3}}+\frac{a^{3} d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c^{2}}-\frac{a^{2} b^{2} d^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c^{3}}-\frac{2 a^{2} b d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c^{2}}-\frac{a^{2} e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c}+\frac{a \,b^{3} d e \ln \left(a \,x^{2}+b x +c \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c^{3}}+\frac{3 a \,b^{2} e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c^{2}}-\frac{5 a \,e^{4} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} d^{2}}-\frac{b^{4} e^{2} \ln \left(a \,x^{2}+b x +c \right)}{2 \left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} c^{3}}+\frac{4 b \,e^{5} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} d^{3}}-\frac{3 c \,e^{6} \ln \left(e x +d \right)}{\left(a \,d^{2}-d e b +c \,e^{2}\right)^{2} d^{4}}+\frac{e^{4}}{\left(a \,d^{2}-d e b +c \,e^{2}\right) \left(e x +d \right) d^{3}}-\frac{a \ln \left(x \right)}{c^{2} d^{2}}+\frac{b^{2} \ln \left(x \right)}{c^{3} d^{2}}+\frac{2 b e \ln \left(x \right)}{c^{2} d^{3}}+\frac{3 e^{2} \ln \left(x \right)}{c \,d^{4}}+\frac{b}{c^{2} d^{2} x}+\frac{2 e}{c \,d^{3} x}-\frac{1}{2 c \,d^{2} x^{2}}"," ",0,"-8/(a*d^2-b*d*e+c*e^2)^2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*b^2*d*e-1/(a*d^2-b*d*e+c*e^2)^2/c^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*b^3*d^2-5/(a*d^2-b*d*e+c*e^2)^2/c/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*e^2+5/(a*d^2-b*d*e+c*e^2)^2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*e^2-2/(a*d^2-b*d*e+c*e^2)^2/c^2*a^2*ln(a*x^2+b*x+c)*b*d*e+1/(a*d^2-b*d*e+c*e^2)^2/c^3*a*ln(a*x^2+b*x+c)*b^3*d*e+3/(a*d^2-b*d*e+c*e^2)^2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^3*b*d^2+4/(a*d^2-b*d*e+c*e^2)^2/c/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a^3*d*e-1/c^2/d^2*ln(x)*a+1/c^3/d^2*ln(x)*b^2+3/c/d^4*ln(x)*e^2+1/c^2/d^2/x*b+2/c/d^3/x*e+e^4/(a*d^2-b*d*e+c*e^2)/d^3/(e*x+d)+2/(a*d^2-b*d*e+c*e^2)^2/c^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*a*b^4*d*e+1/2/(a*d^2-b*d*e+c*e^2)^2/c^2*a^3*ln(a*x^2+b*x+c)*d^2-1/2/c/d^2/x^2-1/2/(a*d^2-b*d*e+c*e^2)^2/c*a^2*ln(a*x^2+b*x+c)*e^2-1/2/(a*d^2-b*d*e+c*e^2)^2/c^3*ln(a*x^2+b*x+c)*b^4*e^2+2/c^2/d^3*ln(x)*b*e-5*e^4/(a*d^2-b*d*e+c*e^2)^2/d^2*ln(e*x+d)*a+4*e^5/(a*d^2-b*d*e+c*e^2)^2/d^3*ln(e*x+d)*b-3*e^6/(a*d^2-b*d*e+c*e^2)^2/d^4*ln(e*x+d)*c-1/2/(a*d^2-b*d*e+c*e^2)^2/c^3*a^2*ln(a*x^2+b*x+c)*b^2*d^2+3/2/(a*d^2-b*d*e+c*e^2)^2/c^2*a*ln(a*x^2+b*x+c)*b^2*e^2-1/(a*d^2-b*d*e+c*e^2)^2/c^3/(4*a*c-b^2)^(1/2)*arctan((2*a*x+b)/(4*a*c-b^2)^(1/2))*b^5*e^2","B"
79,1,11938,899,0.161000," ","int(x^4*(a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
80,1,9182,702,0.066000," ","int(x^3*(a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
81,1,6302,572,0.052000," ","int(x^2*(a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
82,1,4361,486,0.047000," ","int(x*(a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"-1/15*((a*x^2+b*x+c)/x^2)^(1/2)*x*(e*x+d)^(1/2)*(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b^2*d*e^3+2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a^2*d^3*e+8*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a^2*b*d^3*e+8*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a^2*c*d^2*e^2-8*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a*b^2*d^2*e^2-2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*c*e^4-12*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a^2*c*d^2*e^2+3*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a*b^2*d^2*e^2-6*x^4*a^3*e^4-8*x^3*a^3*d*e^3-8*x^3*a^2*b*e^4-2*x^2*a^3*d^2*e^2-6*x^2*a^2*c*e^4-2*x^2*a*b^2*e^4-2*a^2*c*d^2*e^2-8*x*a^2*c*d*e^3-2*x*a*b^2*d*e^3-2*x*a*b*c*e^4-12*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a*c^2*e^4-3*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*b^3*d*e^3+3*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*b^2*c*e^4+12*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a*c^2*e^4+4*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*b^3*d*e^3-4*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*b^2*c*e^4-2*a*b*c*d*e^3-4*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a^3*d^4-10*x^2*a^2*b*d*e^3-2*x*a^2*b*d^2*e^2+2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*c*d*e^3-8*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a*b*c*d*e^3+12*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a*b*c*d*e^3-3*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*b*d^2*e^2)/a^2/(a*e*x^3+a*d*x^2+b*e*x^2+b*d*x+c*e*x+c*d)/e^3","B"
83,1,3023,836,0.047000," ","int((a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"1/3*((a*x^2+b*x+c)/x^2)^(1/2)*x*(e*x+d)^(1/2)/a*(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*a*d^2*e-2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*b*d*e^2-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c*e^3+3*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a*b*d^2*e+6*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a*c*d*e^2-3*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*b^2*d*e^2-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a^2*d^3-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a*c*d*e^2+2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*b^2*d*e^2-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*b*c*e^3+3*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*c*e^3-6*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*a*c*d*e^2+3*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*b*c*e^3+2*x^3*a^2*e^3+2*x^2*a^2*d*e^2+2*x^2*a*b*e^3+2*x*a*b*d*e^2+2*x*a*c*e^3+2*a*c*d*e^2)/e^2/(a*e*x^3+a*d*x^2+b*e*x^2+b*d*x+c*e*x+c*d)","B"
84,1,3553,818,0.049000," ","int((a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2)/x,x)","\text{output too large to display}"," ",0,"1/2*((a*x^2+b*x+c)/x^2)^(1/2)*(e*x+d)^(1/2)*(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*x*a*d^2*e-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*x*b*d*e^2+4*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*a^2*d^3-2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*a*b*d^2*e+6*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*a*c*d*e^2-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*b^2*d*e^2-6*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*a^2*d^3+6*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*a*b*d^2*e-6*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*a*c*d*e^2+2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*x*b*d*e^2+2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*x*c*e^3-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*a*b*d^2*e-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*a*c*d*e^2+2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*b^2*d*e^2+2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x*b*c*e^3-2*x^3*a^2*d*e^2-2*x^2*a^2*d^2*e-2*x^2*a*b*d*e^2-2*x*a*b*d^2*e-2*x*a*c*d*e^2-2*a*c*d^2*e)/(a*e*x^3+a*d*x^2+b*e*x^2+b*d*x+c*e*x+c*d)/a/e/d","B"
85,1,4957,1127,0.057000," ","int((a+c/x^2+b/x)^(1/2)*(e*x+d)^(1/2)/x^2,x)","\text{output too large to display}"," ",0,"1/8*((a*x^2+b*x+c)/x^2)^(1/2)*(e*x+d)^(1/2)*(-8*x^2*a*b*c*d^2*e^2-4*a*c^2*d^3*e-6*x*a*b*c*d^3*e+2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a*c^2*d*e^3-2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*x^2*b^2*d^2*e^2-8*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a^2*c*d^3*e+2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a*b^2*d^3*e+2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a*c^2*d*e^3+2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*x^2*a*b*d^3*e-5*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*x^2*a*c*d^2*e^2-2*x^3*a*b*c*d*e^3+2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*b^2*c*d*e^3-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a*c^2*d*e^3-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a^2*c*d^3*e+2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a*b^2*d^3*e+12*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a^2*c*d^3*e-2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a*b^2*d^3*e-4*x^2*a^2*c*d^3*e-2*x^2*a*b^2*d^3*e-2*x^4*a^2*b*d^2*e^2-2*x^4*a^2*c*d*e^3-2*x^3*a^2*b*d^3*e-6*x^3*a^2*c*d^2*e^2-2*x^3*a*b^2*d^2*e^2-2*x^2*a*c^2*d*e^3-6*x*a*c^2*d^2*e^2-2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticE(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a^2*b*d^4-2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*b*c^2*e^4-2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*x^2*c^2*e^4-2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*b^3*d^2*e^2-5*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticF(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*x^2*a*b*c*d^2*e^2+4*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*x^2*a*c*d^2*e^2+2*2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*(e*(-2*a*x+(-4*a*c+b^2)^(1/2)-b)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2)*(e*(b+2*a*x+(-4*a*c+b^2)^(1/2))/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2)*EllipticPi(2^(1/2)*(-a*(e*x+d)/((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e))^(1/2),-1/2*((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/d/a,(-((-4*a*c+b^2)^(1/2)*e-2*a*d+b*e)/((-4*a*c+b^2)^(1/2)*e+2*a*d-b*e))^(1/2))*(-4*a*c+b^2)^(1/2)*x^2*b*c*d*e^3)/x/a/e/(a*e*x^3+a*d*x^2+b*e*x^2+b*d*x+c*e*x+c*d)/c/d^2","B"
86,0,0,28,0.432000," ","int((f*x)^m*(e*x^n+d)^q*(c*x^(2*n)+a)^p,x)","\int \left(f x \right)^{m} \left(c \,x^{2 n}+a \right)^{p} \left(e \,x^{n}+d \right)^{q}\, dx"," ",0,"int((f*x)^m*(e*x^n+d)^q*(c*x^(2*n)+a)^p,x)","F"
87,0,0,350,0.089000," ","int((f*x)^m*(e*x^n+d)^3*(c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right)^{3} \left(f x \right)^{m} \left(c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((f*x)^m*(e*x^n+d)^3*(c*x^(2*n)+a)^p,x)","F"
88,0,0,256,0.093000," ","int((f*x)^m*(e*x^n+d)^2*(c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right)^{2} \left(f x \right)^{m} \left(c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((f*x)^m*(e*x^n+d)^2*(c*x^(2*n)+a)^p,x)","F"
89,0,0,162,0.087000," ","int((f*x)^m*(e*x^n+d)*(c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right) \left(f x \right)^{m} \left(c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((f*x)^m*(e*x^n+d)*(c*x^(2*n)+a)^p,x)","F"
90,0,0,186,0.109000," ","int((f*x)^m*(c*x^(2*n)+a)^p/(e*x^n+d),x)","\int \frac{\left(f x \right)^{m} \left(c \,x^{2 n}+a \right)^{p}}{e \,x^{n}+d}\, dx"," ",0,"int((f*x)^m*(c*x^(2*n)+a)^p/(e*x^n+d),x)","F"
91,0,0,290,0.112000," ","int((f*x)^m*(c*x^(2*n)+a)^p/(e*x^n+d)^2,x)","\int \frac{\left(f x \right)^{m} \left(c \,x^{2 n}+a \right)^{p}}{\left(e \,x^{n}+d \right)^{2}}\, dx"," ",0,"int((f*x)^m*(c*x^(2*n)+a)^p/(e*x^n+d)^2,x)","F"
92,0,0,396,0.111000," ","int((f*x)^m*(c*x^(2*n)+a)^p/(e*x^n+d)^3,x)","\int \frac{\left(f x \right)^{m} \left(c \,x^{2 n}+a \right)^{p}}{\left(e \,x^{n}+d \right)^{3}}\, dx"," ",0,"int((f*x)^m*(c*x^(2*n)+a)^p/(e*x^n+d)^3,x)","F"
93,1,46548,14,0.003000," ","int((2*c*x+b)*(c*x^2+b*x+a)^13,x)","\text{output too large to display}"," ",0,"result too large to display","B"
94,1,46552,16,0.003000," ","int(x*(2*c*x^2+b)*(c*x^4+b*x^2+a)^13,x)","\text{output too large to display}"," ",0,"result too large to display","B"
95,1,46552,16,0.003000," ","int(x^2*(2*c*x^3+b)*(c*x^6+b*x^3+a)^13,x)","\text{output too large to display}"," ",0,"result too large to display","B"
96,1,2042,21,0.062000," ","int(x^(n-1)*(b+2*c*x^n)*(b*x^n+c*x^(2*n)+a)^13,x)","\frac{a^{13} b \,x^{n}}{n}+\frac{a^{13} c \,x^{2 n}}{n}+\frac{13 a^{12} b^{2} x^{2 n}}{2 n}+\frac{13 a^{12} b c \,x^{3 n}}{n}+\frac{13 a^{12} c^{2} x^{4 n}}{2 n}+\frac{26 a^{11} b^{3} x^{3 n}}{n}+\frac{78 a^{11} b^{2} c \,x^{4 n}}{n}+\frac{78 a^{11} b \,c^{2} x^{5 n}}{n}+\frac{26 a^{11} c^{3} x^{6 n}}{n}+\frac{143 a^{10} b^{4} x^{4 n}}{2 n}+\frac{286 a^{10} b^{3} c \,x^{5 n}}{n}+\frac{429 a^{10} b^{2} c^{2} x^{6 n}}{n}+\frac{286 a^{10} b \,c^{3} x^{7 n}}{n}+\frac{143 a^{10} c^{4} x^{8 n}}{2 n}+\frac{143 a^{9} b^{5} x^{5 n}}{n}+\frac{715 a^{9} b^{4} c \,x^{6 n}}{n}+\frac{1430 a^{9} b^{3} c^{2} x^{7 n}}{n}+\frac{1430 a^{9} b^{2} c^{3} x^{8 n}}{n}+\frac{715 a^{9} b \,c^{4} x^{9 n}}{n}+\frac{143 a^{9} c^{5} x^{10 n}}{n}+\frac{429 a^{8} b^{6} x^{6 n}}{2 n}+\frac{1287 a^{8} b^{5} c \,x^{7 n}}{n}+\frac{6435 a^{8} b^{4} c^{2} x^{8 n}}{2 n}+\frac{4290 a^{8} b^{3} c^{3} x^{9 n}}{n}+\frac{6435 a^{8} b^{2} c^{4} x^{10 n}}{2 n}+\frac{1287 a^{8} b \,c^{5} x^{11 n}}{n}+\frac{429 a^{8} c^{6} x^{12 n}}{2 n}+\frac{1716 a^{7} b^{7} x^{7 n}}{7 n}+\frac{1716 a^{7} b^{6} c \,x^{8 n}}{n}+\frac{5148 a^{7} b^{5} c^{2} x^{9 n}}{n}+\frac{8580 a^{7} b^{4} c^{3} x^{10 n}}{n}+\frac{8580 a^{7} b^{3} c^{4} x^{11 n}}{n}+\frac{5148 a^{7} b^{2} c^{5} x^{12 n}}{n}+\frac{1716 a^{7} b \,c^{6} x^{13 n}}{n}+\frac{1716 a^{7} c^{7} x^{14 n}}{7 n}+\frac{429 a^{6} b^{8} x^{8 n}}{2 n}+\frac{1716 a^{6} b^{7} c \,x^{9 n}}{n}+\frac{6006 a^{6} b^{6} c^{2} x^{10 n}}{n}+\frac{12012 a^{6} b^{5} c^{3} x^{11 n}}{n}+\frac{15015 a^{6} b^{4} c^{4} x^{12 n}}{n}+\frac{12012 a^{6} b^{3} c^{5} x^{13 n}}{n}+\frac{6006 a^{6} b^{2} c^{6} x^{14 n}}{n}+\frac{1716 a^{6} b \,c^{7} x^{15 n}}{n}+\frac{429 a^{6} c^{8} x^{16 n}}{2 n}+\frac{143 a^{5} b^{9} x^{9 n}}{n}+\frac{1287 a^{5} b^{8} c \,x^{10 n}}{n}+\frac{5148 a^{5} b^{7} c^{2} x^{11 n}}{n}+\frac{12012 a^{5} b^{6} c^{3} x^{12 n}}{n}+\frac{18018 a^{5} b^{5} c^{4} x^{13 n}}{n}+\frac{18018 a^{5} b^{4} c^{5} x^{14 n}}{n}+\frac{12012 a^{5} b^{3} c^{6} x^{15 n}}{n}+\frac{5148 a^{5} b^{2} c^{7} x^{16 n}}{n}+\frac{1287 a^{5} b \,c^{8} x^{17 n}}{n}+\frac{143 a^{5} c^{9} x^{18 n}}{n}+\frac{143 a^{4} b^{10} x^{10 n}}{2 n}+\frac{715 a^{4} b^{9} c \,x^{11 n}}{n}+\frac{6435 a^{4} b^{8} c^{2} x^{12 n}}{2 n}+\frac{8580 a^{4} b^{7} c^{3} x^{13 n}}{n}+\frac{15015 a^{4} b^{6} c^{4} x^{14 n}}{n}+\frac{18018 a^{4} b^{5} c^{5} x^{15 n}}{n}+\frac{15015 a^{4} b^{4} c^{6} x^{16 n}}{n}+\frac{8580 a^{4} b^{3} c^{7} x^{17 n}}{n}+\frac{6435 a^{4} b^{2} c^{8} x^{18 n}}{2 n}+\frac{715 a^{4} b \,c^{9} x^{19 n}}{n}+\frac{143 a^{4} c^{10} x^{20 n}}{2 n}+\frac{26 a^{3} b^{11} x^{11 n}}{n}+\frac{286 a^{3} b^{10} c \,x^{12 n}}{n}+\frac{1430 a^{3} b^{9} c^{2} x^{13 n}}{n}+\frac{4290 a^{3} b^{8} c^{3} x^{14 n}}{n}+\frac{8580 a^{3} b^{7} c^{4} x^{15 n}}{n}+\frac{12012 a^{3} b^{6} c^{5} x^{16 n}}{n}+\frac{12012 a^{3} b^{5} c^{6} x^{17 n}}{n}+\frac{8580 a^{3} b^{4} c^{7} x^{18 n}}{n}+\frac{4290 a^{3} b^{3} c^{8} x^{19 n}}{n}+\frac{1430 a^{3} b^{2} c^{9} x^{20 n}}{n}+\frac{286 a^{3} b \,c^{10} x^{21 n}}{n}+\frac{26 a^{3} c^{11} x^{22 n}}{n}+\frac{13 a^{2} b^{12} x^{12 n}}{2 n}+\frac{78 a^{2} b^{11} c \,x^{13 n}}{n}+\frac{429 a^{2} b^{10} c^{2} x^{14 n}}{n}+\frac{1430 a^{2} b^{9} c^{3} x^{15 n}}{n}+\frac{6435 a^{2} b^{8} c^{4} x^{16 n}}{2 n}+\frac{5148 a^{2} b^{7} c^{5} x^{17 n}}{n}+\frac{6006 a^{2} b^{6} c^{6} x^{18 n}}{n}+\frac{5148 a^{2} b^{5} c^{7} x^{19 n}}{n}+\frac{6435 a^{2} b^{4} c^{8} x^{20 n}}{2 n}+\frac{1430 a^{2} b^{3} c^{9} x^{21 n}}{n}+\frac{429 a^{2} b^{2} c^{10} x^{22 n}}{n}+\frac{78 a^{2} b \,c^{11} x^{23 n}}{n}+\frac{13 a^{2} c^{12} x^{24 n}}{2 n}+\frac{a \,b^{13} x^{13 n}}{n}+\frac{13 a \,b^{12} c \,x^{14 n}}{n}+\frac{78 a \,b^{11} c^{2} x^{15 n}}{n}+\frac{286 a \,b^{10} c^{3} x^{16 n}}{n}+\frac{715 a \,b^{9} c^{4} x^{17 n}}{n}+\frac{1287 a \,b^{8} c^{5} x^{18 n}}{n}+\frac{1716 a \,b^{7} c^{6} x^{19 n}}{n}+\frac{1716 a \,b^{6} c^{7} x^{20 n}}{n}+\frac{1287 a \,b^{5} c^{8} x^{21 n}}{n}+\frac{715 a \,b^{4} c^{9} x^{22 n}}{n}+\frac{286 a \,b^{3} c^{10} x^{23 n}}{n}+\frac{78 a \,b^{2} c^{11} x^{24 n}}{n}+\frac{13 a b \,c^{12} x^{25 n}}{n}+\frac{a \,c^{13} x^{26 n}}{n}+\frac{b^{14} x^{14 n}}{14 n}+\frac{b^{13} c \,x^{15 n}}{n}+\frac{13 b^{12} c^{2} x^{16 n}}{2 n}+\frac{26 b^{11} c^{3} x^{17 n}}{n}+\frac{143 b^{10} c^{4} x^{18 n}}{2 n}+\frac{143 b^{9} c^{5} x^{19 n}}{n}+\frac{429 b^{8} c^{6} x^{20 n}}{2 n}+\frac{1716 b^{7} c^{7} x^{21 n}}{7 n}+\frac{429 b^{6} c^{8} x^{22 n}}{2 n}+\frac{143 b^{5} c^{9} x^{23 n}}{n}+\frac{143 b^{4} c^{10} x^{24 n}}{2 n}+\frac{26 b^{3} c^{11} x^{25 n}}{n}+\frac{13 b^{2} c^{12} x^{26 n}}{2 n}+\frac{b \,c^{13} x^{27 n}}{n}+\frac{c^{14} x^{28 n}}{14 n}"," ",0,"26*b^11*c^3/n*(x^n)^17+1716/7/n*(x^n)^14*a^7*c^7+1716/7*b^7*a^7/n*(x^n)^7+143*b^9*c^5/n*(x^n)^19+26*b^3*c^11/n*(x^n)^25+a*b^13/n*(x^n)^13+143*a^5*b^9/n*(x^n)^9+1716/7*b^7*c^7/n*(x^n)^21+143*b^5*c^9/n*(x^n)^23+143/2*a^10/n*(x^n)^8*c^4+429/2*a^6/n*(x^n)^8*b^8+143*b^5*a^9/n*(x^n)^5+26*b^11*a^3/n*(x^n)^11+b^13*c/n*(x^n)^15+13/2*a^12/n*(x^n)^4*c^2+143/2*a^10/n*(x^n)^4*b^4+26*a^11/n*(x^n)^6*c^3+429/2*a^8/n*(x^n)^6*b^6+143*a^9/n*(x^n)^10*c^5+143/2*a^4/n*(x^n)^10*b^10+429/2*c^8/n*(x^n)^22*b^6+c^13/n*(x^n)^26*a+13/2*c^12/n*(x^n)^26*b^2+429/2*c^8/n*(x^n)^16*a^6+13/2*c^2/n*(x^n)^16*b^12+143*c^9/n*(x^n)^18*a^5+143/2*c^4/n*(x^n)^18*b^10+143/2*c^10/n*(x^n)^20*a^4+429/2*c^6/n*(x^n)^20*b^8+26*c^11/n*(x^n)^22*a^3+429/2*a^8/n*(x^n)^12*c^6+13/2*a^2/n*(x^n)^12*b^12+26*a^11*b^3/n*(x^n)^3+13/2*c^12/n*(x^n)^24*a^2+143/2*c^10/n*(x^n)^24*b^4+a^13/n*(x^n)^2*c+13/2*a^12/n*(x^n)^2*b^2+b*a^13/n*x^n+b*c^13/n*(x^n)^27+1287*b^5*c^8/n*(x^n)^21*a+78*b*c^11/n*(x^n)^23*a^2+286*b^3*c^10/n*(x^n)^23*a+286*b*a^10/n*(x^n)^7*c^3+1430*b^3*a^9/n*(x^n)^7*c^2+1287*b^5*a^8/n*(x^n)^7*c+715*b*c^9/n*(x^n)^19*a^4+4290*b^3*c^8/n*(x^n)^19*a^3+5148*b^5*c^7/n*(x^n)^19*a^2+1716*b^7*c^6/n*(x^n)^19*a+5148*a^7/n*(x^n)^12*b^2*c^5+15015*a^6/n*(x^n)^12*b^4*c^4+12012*a^5/n*(x^n)^12*b^6*c^3+6435/2*a^4/n*(x^n)^12*b^8*c^2+1/14*c^14/n*(x^n)^28+715*a^9/n*(x^n)^6*b^4*c+1/14/n*(x^n)^14*b^14+6435/2*a^8/n*(x^n)^10*b^2*c^4+8580*a^7/n*(x^n)^10*b^4*c^3+6006*a^6/n*(x^n)^10*b^6*c^2+1287*a^5/n*(x^n)^10*b^8*c+1430*a^9/n*(x^n)^8*b^2*c^3+6435/2*a^8/n*(x^n)^8*b^4*c^2+1716*a^7/n*(x^n)^8*b^6*c+78*b*a^11/n*(x^n)^5*c^2+286*b^3*a^10/n*(x^n)^5*c+1287*b*a^8/n*(x^n)^11*c^5+1716*a^7*b/n*(x^n)^13*c^6+12012*a^6*b^3/n*(x^n)^13*c^5+18018*a^5*b^5/n*(x^n)^13*c^4+8580*a^4*b^7/n*(x^n)^13*c^3+1430*a^3*b^9/n*(x^n)^13*c^2+78*a^2*b^11/n*(x^n)^13*c+715*a^9*b/n*(x^n)^9*c^4+4290*a^8*b^3/n*(x^n)^9*c^3+5148*a^7*b^5/n*(x^n)^9*c^2+1716*a^6*b^7/n*(x^n)^9*c+286*b*c^10/n*(x^n)^21*a^3+1430*b^3*c^9/n*(x^n)^21*a^2+8580*b^3*a^7/n*(x^n)^11*c^4+12012*b^5*a^6/n*(x^n)^11*c^3+5148*b^7*a^5/n*(x^n)^11*c^2+715*b^9*a^4/n*(x^n)^11*c+1716*b*c^7/n*(x^n)^15*a^6+12012*b^3*c^6/n*(x^n)^15*a^5+18018*b^5*c^5/n*(x^n)^15*a^4+8580*b^7*c^4/n*(x^n)^15*a^3+1430*b^9*c^3/n*(x^n)^15*a^2+78*b^11*c^2/n*(x^n)^15*a+13*b*c^12/n*(x^n)^25*a+1430*c^9/n*(x^n)^20*a^3*b^2+6435/2*c^8/n*(x^n)^20*a^2*b^4+1716*c^7/n*(x^n)^20*a*b^6+429*c^10/n*(x^n)^22*a^2*b^2+715*c^9/n*(x^n)^22*a*b^4+13*a^12*b/n*(x^n)^3*c+78*c^11/n*(x^n)^24*a*b^2+78*a^11/n*(x^n)^4*b^2*c+429*a^10/n*(x^n)^6*b^2*c^2+1287*b*c^8/n*(x^n)^17*a^5+8580*b^3*c^7/n*(x^n)^17*a^4+12012*b^5*c^6/n*(x^n)^17*a^3+5148*b^7*c^5/n*(x^n)^17*a^2+715*b^9*c^4/n*(x^n)^17*a+6006/n*(x^n)^14*a^6*b^2*c^6+18018/n*(x^n)^14*a^5*b^4*c^5+15015/n*(x^n)^14*a^4*b^6*c^4+4290/n*(x^n)^14*a^3*b^8*c^3+429/n*(x^n)^14*a^2*b^10*c^2+13/n*(x^n)^14*a*b^12*c+286*a^3/n*(x^n)^12*b^10*c+5148*c^7/n*(x^n)^16*a^5*b^2+15015*c^6/n*(x^n)^16*a^4*b^4+12012*c^5/n*(x^n)^16*a^3*b^6+6435/2*c^4/n*(x^n)^16*a^2*b^8+286*c^3/n*(x^n)^16*a*b^10+6435/2*c^8/n*(x^n)^18*a^4*b^2+8580*c^7/n*(x^n)^18*a^3*b^4+6006*c^6/n*(x^n)^18*a^2*b^6+1287*c^5/n*(x^n)^18*a*b^8","B"
97,1,47685,16,0.004000," ","int((2*c*x+b)*(c*x^2+b*x-a)^13,x)","\text{output too large to display}"," ",0,"result too large to display","B"
98,1,47688,18,0.002000," ","int(x*(2*c*x^2+b)*(c*x^4+b*x^2-a)^13,x)","\text{output too large to display}"," ",0,"result too large to display","B"
99,1,47688,18,0.001000," ","int(x^2*(2*c*x^3+b)*(c*x^6+b*x^3-a)^13,x)","\text{output too large to display}"," ",0,"result too large to display","B"
100,1,2046,23,0.059000," ","int(x^(n-1)*(b+2*c*x^n)*(-a+b*x^n+c*x^(2*n))^13,x)","-\frac{a^{13} b \,x^{n}}{n}-\frac{a^{13} c \,x^{2 n}}{n}+\frac{13 a^{12} b^{2} x^{2 n}}{2 n}+\frac{13 a^{12} b c \,x^{3 n}}{n}+\frac{13 a^{12} c^{2} x^{4 n}}{2 n}-\frac{26 a^{11} b^{3} x^{3 n}}{n}-\frac{78 a^{11} b^{2} c \,x^{4 n}}{n}-\frac{78 a^{11} b \,c^{2} x^{5 n}}{n}-\frac{26 a^{11} c^{3} x^{6 n}}{n}+\frac{143 a^{10} b^{4} x^{4 n}}{2 n}+\frac{286 a^{10} b^{3} c \,x^{5 n}}{n}+\frac{429 a^{10} b^{2} c^{2} x^{6 n}}{n}+\frac{286 a^{10} b \,c^{3} x^{7 n}}{n}+\frac{143 a^{10} c^{4} x^{8 n}}{2 n}-\frac{143 a^{9} b^{5} x^{5 n}}{n}-\frac{715 a^{9} b^{4} c \,x^{6 n}}{n}-\frac{1430 a^{9} b^{3} c^{2} x^{7 n}}{n}-\frac{1430 a^{9} b^{2} c^{3} x^{8 n}}{n}-\frac{715 a^{9} b \,c^{4} x^{9 n}}{n}-\frac{143 a^{9} c^{5} x^{10 n}}{n}+\frac{429 a^{8} b^{6} x^{6 n}}{2 n}+\frac{1287 a^{8} b^{5} c \,x^{7 n}}{n}+\frac{6435 a^{8} b^{4} c^{2} x^{8 n}}{2 n}+\frac{4290 a^{8} b^{3} c^{3} x^{9 n}}{n}+\frac{6435 a^{8} b^{2} c^{4} x^{10 n}}{2 n}+\frac{1287 a^{8} b \,c^{5} x^{11 n}}{n}+\frac{429 a^{8} c^{6} x^{12 n}}{2 n}-\frac{1716 a^{7} b^{7} x^{7 n}}{7 n}-\frac{1716 a^{7} b^{6} c \,x^{8 n}}{n}-\frac{5148 a^{7} b^{5} c^{2} x^{9 n}}{n}-\frac{8580 a^{7} b^{4} c^{3} x^{10 n}}{n}-\frac{8580 a^{7} b^{3} c^{4} x^{11 n}}{n}-\frac{5148 a^{7} b^{2} c^{5} x^{12 n}}{n}-\frac{1716 a^{7} b \,c^{6} x^{13 n}}{n}-\frac{1716 a^{7} c^{7} x^{14 n}}{7 n}+\frac{429 a^{6} b^{8} x^{8 n}}{2 n}+\frac{1716 a^{6} b^{7} c \,x^{9 n}}{n}+\frac{6006 a^{6} b^{6} c^{2} x^{10 n}}{n}+\frac{12012 a^{6} b^{5} c^{3} x^{11 n}}{n}+\frac{15015 a^{6} b^{4} c^{4} x^{12 n}}{n}+\frac{12012 a^{6} b^{3} c^{5} x^{13 n}}{n}+\frac{6006 a^{6} b^{2} c^{6} x^{14 n}}{n}+\frac{1716 a^{6} b \,c^{7} x^{15 n}}{n}+\frac{429 a^{6} c^{8} x^{16 n}}{2 n}-\frac{143 a^{5} b^{9} x^{9 n}}{n}-\frac{1287 a^{5} b^{8} c \,x^{10 n}}{n}-\frac{5148 a^{5} b^{7} c^{2} x^{11 n}}{n}-\frac{12012 a^{5} b^{6} c^{3} x^{12 n}}{n}-\frac{18018 a^{5} b^{5} c^{4} x^{13 n}}{n}-\frac{18018 a^{5} b^{4} c^{5} x^{14 n}}{n}-\frac{12012 a^{5} b^{3} c^{6} x^{15 n}}{n}-\frac{5148 a^{5} b^{2} c^{7} x^{16 n}}{n}-\frac{1287 a^{5} b \,c^{8} x^{17 n}}{n}-\frac{143 a^{5} c^{9} x^{18 n}}{n}+\frac{143 a^{4} b^{10} x^{10 n}}{2 n}+\frac{715 a^{4} b^{9} c \,x^{11 n}}{n}+\frac{6435 a^{4} b^{8} c^{2} x^{12 n}}{2 n}+\frac{8580 a^{4} b^{7} c^{3} x^{13 n}}{n}+\frac{15015 a^{4} b^{6} c^{4} x^{14 n}}{n}+\frac{18018 a^{4} b^{5} c^{5} x^{15 n}}{n}+\frac{15015 a^{4} b^{4} c^{6} x^{16 n}}{n}+\frac{8580 a^{4} b^{3} c^{7} x^{17 n}}{n}+\frac{6435 a^{4} b^{2} c^{8} x^{18 n}}{2 n}+\frac{715 a^{4} b \,c^{9} x^{19 n}}{n}+\frac{143 a^{4} c^{10} x^{20 n}}{2 n}-\frac{26 a^{3} b^{11} x^{11 n}}{n}-\frac{286 a^{3} b^{10} c \,x^{12 n}}{n}-\frac{1430 a^{3} b^{9} c^{2} x^{13 n}}{n}-\frac{4290 a^{3} b^{8} c^{3} x^{14 n}}{n}-\frac{8580 a^{3} b^{7} c^{4} x^{15 n}}{n}-\frac{12012 a^{3} b^{6} c^{5} x^{16 n}}{n}-\frac{12012 a^{3} b^{5} c^{6} x^{17 n}}{n}-\frac{8580 a^{3} b^{4} c^{7} x^{18 n}}{n}-\frac{4290 a^{3} b^{3} c^{8} x^{19 n}}{n}-\frac{1430 a^{3} b^{2} c^{9} x^{20 n}}{n}-\frac{286 a^{3} b \,c^{10} x^{21 n}}{n}-\frac{26 a^{3} c^{11} x^{22 n}}{n}+\frac{13 a^{2} b^{12} x^{12 n}}{2 n}+\frac{78 a^{2} b^{11} c \,x^{13 n}}{n}+\frac{429 a^{2} b^{10} c^{2} x^{14 n}}{n}+\frac{1430 a^{2} b^{9} c^{3} x^{15 n}}{n}+\frac{6435 a^{2} b^{8} c^{4} x^{16 n}}{2 n}+\frac{5148 a^{2} b^{7} c^{5} x^{17 n}}{n}+\frac{6006 a^{2} b^{6} c^{6} x^{18 n}}{n}+\frac{5148 a^{2} b^{5} c^{7} x^{19 n}}{n}+\frac{6435 a^{2} b^{4} c^{8} x^{20 n}}{2 n}+\frac{1430 a^{2} b^{3} c^{9} x^{21 n}}{n}+\frac{429 a^{2} b^{2} c^{10} x^{22 n}}{n}+\frac{78 a^{2} b \,c^{11} x^{23 n}}{n}+\frac{13 a^{2} c^{12} x^{24 n}}{2 n}-\frac{a \,b^{13} x^{13 n}}{n}-\frac{13 a \,b^{12} c \,x^{14 n}}{n}-\frac{78 a \,b^{11} c^{2} x^{15 n}}{n}-\frac{286 a \,b^{10} c^{3} x^{16 n}}{n}-\frac{715 a \,b^{9} c^{4} x^{17 n}}{n}-\frac{1287 a \,b^{8} c^{5} x^{18 n}}{n}-\frac{1716 a \,b^{7} c^{6} x^{19 n}}{n}-\frac{1716 a \,b^{6} c^{7} x^{20 n}}{n}-\frac{1287 a \,b^{5} c^{8} x^{21 n}}{n}-\frac{715 a \,b^{4} c^{9} x^{22 n}}{n}-\frac{286 a \,b^{3} c^{10} x^{23 n}}{n}-\frac{78 a \,b^{2} c^{11} x^{24 n}}{n}-\frac{13 a b \,c^{12} x^{25 n}}{n}-\frac{a \,c^{13} x^{26 n}}{n}+\frac{b^{14} x^{14 n}}{14 n}+\frac{b^{13} c \,x^{15 n}}{n}+\frac{13 b^{12} c^{2} x^{16 n}}{2 n}+\frac{26 b^{11} c^{3} x^{17 n}}{n}+\frac{143 b^{10} c^{4} x^{18 n}}{2 n}+\frac{143 b^{9} c^{5} x^{19 n}}{n}+\frac{429 b^{8} c^{6} x^{20 n}}{2 n}+\frac{1716 b^{7} c^{7} x^{21 n}}{7 n}+\frac{429 b^{6} c^{8} x^{22 n}}{2 n}+\frac{143 b^{5} c^{9} x^{23 n}}{n}+\frac{143 b^{4} c^{10} x^{24 n}}{2 n}+\frac{26 b^{3} c^{11} x^{25 n}}{n}+\frac{13 b^{2} c^{12} x^{26 n}}{2 n}+\frac{b \,c^{13} x^{27 n}}{n}+\frac{c^{14} x^{28 n}}{14 n}"," ",0,"26*b^11*c^3/n*(x^n)^17-1716/7/n*(x^n)^14*a^7*c^7-1716/7*b^7*a^7/n*(x^n)^7+143*b^9*c^5/n*(x^n)^19+26*b^3*c^11/n*(x^n)^25-a*b^13/n*(x^n)^13-143*a^5*b^9/n*(x^n)^9+1716/7*b^7*c^7/n*(x^n)^21+143*b^5*c^9/n*(x^n)^23+143/2*a^10/n*(x^n)^8*c^4+429/2*a^6/n*(x^n)^8*b^8-143*b^5*a^9/n*(x^n)^5-26*b^11*a^3/n*(x^n)^11+b^13*c/n*(x^n)^15+13/2*a^12/n*(x^n)^4*c^2+143/2*a^10/n*(x^n)^4*b^4-26*a^11/n*(x^n)^6*c^3+429/2*a^8/n*(x^n)^6*b^6-143*a^9/n*(x^n)^10*c^5+143/2*a^4/n*(x^n)^10*b^10+429/2*c^8/n*(x^n)^22*b^6-c^13/n*(x^n)^26*a+13/2*c^12/n*(x^n)^26*b^2+429/2*c^8/n*(x^n)^16*a^6+13/2*c^2/n*(x^n)^16*b^12-143*c^9/n*(x^n)^18*a^5+143/2*c^4/n*(x^n)^18*b^10+143/2*c^10/n*(x^n)^20*a^4+429/2*c^6/n*(x^n)^20*b^8-26*c^11/n*(x^n)^22*a^3+429/2*a^8/n*(x^n)^12*c^6+13/2*a^2/n*(x^n)^12*b^12-26*a^11*b^3/n*(x^n)^3+13/2*c^12/n*(x^n)^24*a^2+143/2*c^10/n*(x^n)^24*b^4-a^13/n*(x^n)^2*c+13/2*a^12/n*(x^n)^2*b^2-a^13*b/n*x^n+b*c^13/n*(x^n)^27-1287*b^5*c^8/n*(x^n)^21*a+78*b*c^11/n*(x^n)^23*a^2-286*b^3*c^10/n*(x^n)^23*a+286*b*a^10/n*(x^n)^7*c^3-1430*b^3*a^9/n*(x^n)^7*c^2+1287*b^5*a^8/n*(x^n)^7*c+715*b*c^9/n*(x^n)^19*a^4-4290*b^3*c^8/n*(x^n)^19*a^3+5148*b^5*c^7/n*(x^n)^19*a^2-1716*b^7*c^6/n*(x^n)^19*a-5148*a^7/n*(x^n)^12*b^2*c^5+15015*a^6/n*(x^n)^12*b^4*c^4-12012*a^5/n*(x^n)^12*b^6*c^3+6435/2*a^4/n*(x^n)^12*b^8*c^2+1/14*c^14/n*(x^n)^28-715*a^9/n*(x^n)^6*b^4*c+1/14/n*(x^n)^14*b^14+6435/2*a^8/n*(x^n)^10*b^2*c^4-8580*a^7/n*(x^n)^10*b^4*c^3+6006*a^6/n*(x^n)^10*b^6*c^2-1287*a^5/n*(x^n)^10*b^8*c-1430*a^9/n*(x^n)^8*b^2*c^3+6435/2*a^8/n*(x^n)^8*b^4*c^2-1716*a^7/n*(x^n)^8*b^6*c-78*b*a^11/n*(x^n)^5*c^2+286*b^3*a^10/n*(x^n)^5*c+1287*b*a^8/n*(x^n)^11*c^5-1716*a^7*b/n*(x^n)^13*c^6+12012*a^6*b^3/n*(x^n)^13*c^5-18018*a^5*b^5/n*(x^n)^13*c^4+8580*a^4*b^7/n*(x^n)^13*c^3-1430*a^3*b^9/n*(x^n)^13*c^2+78*a^2*b^11/n*(x^n)^13*c-715*a^9*b/n*(x^n)^9*c^4+4290*a^8*b^3/n*(x^n)^9*c^3-5148*a^7*b^5/n*(x^n)^9*c^2+1716*a^6*b^7/n*(x^n)^9*c-286*b*c^10/n*(x^n)^21*a^3+1430*b^3*c^9/n*(x^n)^21*a^2-8580*b^3*a^7/n*(x^n)^11*c^4+12012*b^5*a^6/n*(x^n)^11*c^3-5148*b^7*a^5/n*(x^n)^11*c^2+715*b^9*a^4/n*(x^n)^11*c+1716*b*c^7/n*(x^n)^15*a^6-12012*b^3*c^6/n*(x^n)^15*a^5+18018*b^5*c^5/n*(x^n)^15*a^4-8580*b^7*c^4/n*(x^n)^15*a^3+1430*b^9*c^3/n*(x^n)^15*a^2-78*b^11*c^2/n*(x^n)^15*a-13*b*c^12/n*(x^n)^25*a-1430*c^9/n*(x^n)^20*a^3*b^2+6435/2*c^8/n*(x^n)^20*a^2*b^4-1716*c^7/n*(x^n)^20*a*b^6+429*c^10/n*(x^n)^22*a^2*b^2-715*c^9/n*(x^n)^22*a*b^4+13*a^12*b/n*(x^n)^3*c-78*c^11/n*(x^n)^24*a*b^2-78*a^11/n*(x^n)^4*b^2*c+429*a^10/n*(x^n)^6*b^2*c^2-1287*b*c^8/n*(x^n)^17*a^5+8580*b^3*c^7/n*(x^n)^17*a^4-12012*b^5*c^6/n*(x^n)^17*a^3+5148*b^7*c^5/n*(x^n)^17*a^2-715*b^9*c^4/n*(x^n)^17*a+6006/n*(x^n)^14*a^6*b^2*c^6-18018/n*(x^n)^14*a^5*b^4*c^5+15015/n*(x^n)^14*a^4*b^6*c^4-4290/n*(x^n)^14*a^3*b^8*c^3+429/n*(x^n)^14*a^2*b^10*c^2-13/n*(x^n)^14*a*b^12*c-286*a^3/n*(x^n)^12*b^10*c-5148*c^7/n*(x^n)^16*a^5*b^2+15015*c^6/n*(x^n)^16*a^4*b^4-12012*c^5/n*(x^n)^16*a^3*b^6+6435/2*c^4/n*(x^n)^16*a^2*b^8-286*c^3/n*(x^n)^16*a*b^10+6435/2*c^8/n*(x^n)^18*a^4*b^2-8580*c^7/n*(x^n)^18*a^3*b^4+6006*c^6/n*(x^n)^18*a^2*b^6-1287*c^5/n*(x^n)^18*a*b^8","B"
101,1,155,13,0.001000," ","int((2*c*x+b)*(c*x^2+b*x)^13,x)","\frac{1}{14} c^{14} x^{28}+b \,c^{13} x^{27}+\frac{13}{2} b^{2} c^{12} x^{26}+26 b^{3} c^{11} x^{25}+\frac{143}{2} b^{4} c^{10} x^{24}+143 b^{5} c^{9} x^{23}+\frac{429}{2} b^{6} c^{8} x^{22}+\frac{1716}{7} b^{7} c^{7} x^{21}+\frac{429}{2} b^{8} c^{6} x^{20}+143 b^{9} c^{5} x^{19}+\frac{143}{2} b^{10} c^{4} x^{18}+26 b^{11} c^{3} x^{17}+\frac{13}{2} b^{12} c^{2} x^{16}+b^{13} c \,x^{15}+\frac{1}{14} b^{14} x^{14}"," ",0,"1/14*c^14*x^28+b*c^13*x^27+13/2*b^2*c^12*x^26+26*b^3*c^11*x^25+143/2*b^4*c^10*x^24+143*b^5*c^9*x^23+429/2*b^6*c^8*x^22+1716/7*b^7*c^7*x^21+429/2*b^8*c^6*x^20+143*b^9*c^5*x^19+143/2*b^10*c^4*x^18+26*b^11*c^3*x^17+13/2*b^12*c^2*x^16+b^13*c*x^15+1/14*b^14*x^14","B"
102,1,157,14,0.001000," ","int(x*(2*c*x^2+b)*(c*x^4+b*x^2)^13,x)","\frac{1}{28} c^{14} x^{56}+\frac{1}{2} b \,c^{13} x^{54}+\frac{13}{4} b^{2} c^{12} x^{52}+13 b^{3} c^{11} x^{50}+\frac{143}{4} b^{4} c^{10} x^{48}+\frac{143}{2} b^{5} c^{9} x^{46}+\frac{429}{4} b^{6} c^{8} x^{44}+\frac{858}{7} b^{7} c^{7} x^{42}+\frac{429}{4} b^{8} c^{6} x^{40}+\frac{143}{2} b^{9} c^{5} x^{38}+\frac{143}{4} b^{10} c^{4} x^{36}+13 b^{11} c^{3} x^{34}+\frac{13}{4} b^{12} c^{2} x^{32}+\frac{1}{2} b^{13} c \,x^{30}+\frac{1}{28} b^{14} x^{28}"," ",0,"1/28*c^14*x^56+1/2*b*c^13*x^54+13/4*b^2*c^12*x^52+13*b^3*c^11*x^50+143/4*b^4*c^10*x^48+143/2*b^5*c^9*x^46+429/4*b^6*c^8*x^44+858/7*b^7*c^7*x^42+429/4*b^8*c^6*x^40+143/2*b^9*c^5*x^38+143/4*b^10*c^4*x^36+13*b^11*c^3*x^34+13/4*b^12*c^2*x^32+1/2*b^13*c*x^30+1/28*b^14*x^28","B"
103,1,157,14,0.001000," ","int(x^2*(2*c*x^3+b)*(c*x^6+b*x^3)^13,x)","\frac{1}{42} c^{14} x^{84}+\frac{1}{3} b \,c^{13} x^{81}+\frac{13}{6} b^{2} c^{12} x^{78}+\frac{26}{3} b^{3} c^{11} x^{75}+\frac{143}{6} b^{4} c^{10} x^{72}+\frac{143}{3} b^{5} c^{9} x^{69}+\frac{143}{2} b^{6} c^{8} x^{66}+\frac{572}{7} b^{7} c^{7} x^{63}+\frac{143}{2} b^{8} c^{6} x^{60}+\frac{143}{3} b^{9} c^{5} x^{57}+\frac{143}{6} b^{10} c^{4} x^{54}+\frac{26}{3} b^{11} c^{3} x^{51}+\frac{13}{6} b^{12} c^{2} x^{48}+\frac{1}{3} b^{13} c \,x^{45}+\frac{1}{42} b^{14} x^{42}"," ",0,"1/42*c^14*x^84+1/3*b*c^13*x^81+13/6*b^2*c^12*x^78+26/3*b^3*c^11*x^75+143/6*b^4*c^10*x^72+143/3*b^5*c^9*x^69+143/2*b^6*c^8*x^66+572/7*b^7*c^7*x^63+143/2*b^8*c^6*x^60+143/3*b^9*c^5*x^57+143/6*b^10*c^4*x^54+26/3*b^11*c^3*x^51+13/6*b^12*c^2*x^48+1/3*b^13*c*x^45+1/42*b^14*x^42","B"
104,1,230,19,0.035000," ","int(x^(n-1)*(b+2*c*x^n)*(b*x^n+c*x^(2*n))^13,x)","\frac{b^{14} x^{14 n}}{14 n}+\frac{b^{13} c \,x^{15 n}}{n}+\frac{13 b^{12} c^{2} x^{16 n}}{2 n}+\frac{26 b^{11} c^{3} x^{17 n}}{n}+\frac{143 b^{10} c^{4} x^{18 n}}{2 n}+\frac{143 b^{9} c^{5} x^{19 n}}{n}+\frac{429 b^{8} c^{6} x^{20 n}}{2 n}+\frac{1716 b^{7} c^{7} x^{21 n}}{7 n}+\frac{429 b^{6} c^{8} x^{22 n}}{2 n}+\frac{143 b^{5} c^{9} x^{23 n}}{n}+\frac{143 b^{4} c^{10} x^{24 n}}{2 n}+\frac{26 b^{3} c^{11} x^{25 n}}{n}+\frac{13 b^{2} c^{12} x^{26 n}}{2 n}+\frac{b \,c^{13} x^{27 n}}{n}+\frac{c^{14} x^{28 n}}{14 n}"," ",0,"1/14*c^14/n*(x^n)^28+b*c^13/n*(x^n)^27+13/2*c^12/n*(x^n)^26*b^2+26*b^3*c^11/n*(x^n)^25+143/2*c^10/n*(x^n)^24*b^4+143*b^5*c^9/n*(x^n)^23+429/2*c^8/n*(x^n)^22*b^6+1716/7*b^7*c^7/n*(x^n)^21+429/2*c^6/n*(x^n)^20*b^8+143*b^9*c^5/n*(x^n)^19+143/2*c^4/n*(x^n)^18*b^10+26*b^11*c^3/n*(x^n)^17+13/2*c^2/n*(x^n)^16*b^12+b^13*c/n*(x^n)^15+1/14/n*(x^n)^14*b^14","B"
105,1,12,11,0.002000," ","int((2*c*x+b)/(c*x^2+b*x+a),x)","\ln \left(c \,x^{2}+b x +a \right)"," ",0,"ln(c*x^2+b*x+a)","A"
106,1,16,15,0.002000," ","int(x*(2*c*x^2+b)/(c*x^4+b*x^2+a),x)","\frac{\ln \left(c \,x^{4}+b \,x^{2}+a \right)}{2}"," ",0,"1/2*ln(c*x^4+b*x^2+a)","A"
107,1,16,15,0.001000," ","int(x^2*(2*c*x^3+b)/(c*x^6+b*x^3+a),x)","\frac{\ln \left(c \,x^{6}+b \,x^{3}+a \right)}{3}"," ",0,"1/3*ln(c*x^6+b*x^3+a)","A"
108,1,24,19,0.025000," ","int(x^(n-1)*(b+2*c*x^n)/(b*x^n+c*x^(2*n)+a),x)","\frac{\ln \left(b \,{\mathrm e}^{n \ln \left(x \right)}+c \,{\mathrm e}^{2 n \ln \left(x \right)}+a \right)}{n}"," ",0,"1/n*ln(a+b*exp(n*ln(x))+c*exp(n*ln(x))^2)","A"
109,1,15,14,0.000000," ","int((2*c*x+b)/(c*x^2+b*x+a)^8,x)","-\frac{1}{7 \left(c \,x^{2}+b x +a \right)^{7}}"," ",0,"-1/7/(c*x^2+b*x+a)^7","A"
110,1,17,16,0.000000," ","int(x*(2*c*x^2+b)/(c*x^4+b*x^2+a)^8,x)","-\frac{1}{14 \left(c \,x^{4}+b \,x^{2}+a \right)^{7}}"," ",0,"-1/14/(c*x^4+b*x^2+a)^7","A"
111,1,17,16,0.002000," ","int(x^2*(2*c*x^3+b)/(c*x^6+b*x^3+a)^8,x)","-\frac{1}{21 \left(c \,x^{6}+b \,x^{3}+a \right)^{7}}"," ",0,"-1/21/(c*x^6+b*x^3+a)^7","A"
112,1,22,21,0.064000," ","int(x^(n-1)*(b+2*c*x^n)/(b*x^n+c*x^(2*n)+a)^8,x)","-\frac{1}{7 \left(b \,x^{n}+c \,x^{2 n}+a \right)^{7} n}"," ",0,"-1/7/n/(a+b*x^n+c*(x^n)^2)^7","A"
113,1,14,13,0.001000," ","int((2*c*x+b)/(c*x^2+b*x-a),x)","\ln \left(c \,x^{2}+b x -a \right)"," ",0,"ln(c*x^2+b*x-a)","A"
114,1,18,17,0.000000," ","int(x*(2*c*x^2+b)/(c*x^4+b*x^2-a),x)","\frac{\ln \left(c \,x^{4}+b \,x^{2}-a \right)}{2}"," ",0,"1/2*ln(c*x^4+b*x^2-a)","A"
115,1,18,17,0.001000," ","int(x^2*(2*c*x^3+b)/(c*x^6+b*x^3-a),x)","\frac{\ln \left(c \,x^{6}+b \,x^{3}-a \right)}{3}"," ",0,"1/3*ln(c*x^6+b*x^3-a)","A"
116,1,26,21,0.025000," ","int(x^(n-1)*(b+2*c*x^n)/(-a+b*x^n+c*x^(2*n)),x)","\frac{\ln \left(-b \,{\mathrm e}^{n \ln \left(x \right)}-c \,{\mathrm e}^{2 n \ln \left(x \right)}+a \right)}{n}"," ",0,"1/n*ln(-c*exp(n*ln(x))^2-b*exp(n*ln(x))+a)","A"
117,1,17,16,0.002000," ","int((2*c*x+b)/(c*x^2+b*x-a)^8,x)","-\frac{1}{7 \left(c \,x^{2}+b x -a \right)^{7}}"," ",0,"-1/7/(c*x^2+b*x-a)^7","A"
118,1,19,18,0.000000," ","int(x*(2*c*x^2+b)/(c*x^4+b*x^2-a)^8,x)","-\frac{1}{14 \left(c \,x^{4}+b \,x^{2}-a \right)^{7}}"," ",0,"-1/14/(c*x^4+b*x^2-a)^7","A"
119,1,19,18,0.001000," ","int(x^2*(2*c*x^3+b)/(c*x^6+b*x^3-a)^8,x)","-\frac{1}{21 \left(c \,x^{6}+b \,x^{3}-a \right)^{7}}"," ",0,"-1/21/(c*x^6+b*x^3-a)^7","A"
120,1,24,23,0.067000," ","int(x^(n-1)*(b+2*c*x^n)/(-a+b*x^n+c*x^(2*n))^8,x)","\frac{1}{7 \left(-b \,x^{n}-c \,x^{2 n}+a \right)^{7} n}"," ",0,"1/7/n/(-c*(x^n)^2-b*x^n+a)^7","A"
121,1,9,10,0.002000," ","int((2*c*x+b)/(c*x^2+b*x),x)","\ln \left(\left(c x +b \right) x \right)"," ",0,"ln(x*(c*x+b))","A"
122,1,14,14,0.006000," ","int(x*(2*c*x^2+b)/(c*x^4+b*x^2),x)","\ln \left(x \right)+\frac{\ln \left(c \,x^{2}+b \right)}{2}"," ",0,"ln(x)+1/2*ln(c*x^2+b)","A"
123,1,14,14,0.006000," ","int(x^2*(2*c*x^3+b)/(c*x^6+b*x^3),x)","\ln \left(x \right)+\frac{\ln \left(c \,x^{3}+b \right)}{3}"," ",0,"ln(x)+1/3*ln(c*x^3+b)","A"
124,1,18,15,0.022000," ","int(x^(n-1)*(b+2*c*x^n)/(b*x^n+c*x^(2*n)),x)","\ln \left(x \right)+\frac{\ln \left(c \,{\mathrm e}^{n \ln \left(x \right)}+b \right)}{n}"," ",0,"ln(x)+1/n*ln(c*exp(n*ln(x))+b)","A"
125,1,177,13,0.016000," ","int((2*c*x+b)/(c*x^2+b*x)^8,x)","\frac{c^{7}}{7 \left(c x +b \right)^{7} b^{7}}+\frac{c^{7}}{\left(c x +b \right)^{6} b^{8}}+\frac{4 c^{7}}{\left(c x +b \right)^{5} b^{9}}+\frac{12 c^{7}}{\left(c x +b \right)^{4} b^{10}}+\frac{30 c^{7}}{\left(c x +b \right)^{3} b^{11}}+\frac{66 c^{7}}{\left(c x +b \right)^{2} b^{12}}+\frac{132 c^{7}}{\left(c x +b \right) b^{13}}-\frac{132 c^{6}}{b^{13} x}+\frac{66 c^{5}}{b^{12} x^{2}}-\frac{30 c^{4}}{b^{11} x^{3}}+\frac{12 c^{3}}{b^{10} x^{4}}-\frac{4 c^{2}}{b^{9} x^{5}}+\frac{c}{b^{8} x^{6}}-\frac{1}{7 b^{7} x^{7}}"," ",0,"-1/7/b^7/x^7-132/b^13*c^6/x+66/b^12*c^5/x^2-30/b^11*c^4/x^3+12/b^10*c^3/x^4-4/b^9*c^2/x^5+1/b^8*c/x^6+132/b^13*c^7/(c*x+b)+66/b^12*c^7/(c*x+b)^2+30/b^11*c^7/(c*x+b)^3+12/b^10*c^7/(c*x+b)^4+4/b^9*c^7/(c*x+b)^5+c^7/b^8/(c*x+b)^6+1/7*c^7/b^7/(c*x+b)^7","B"
126,1,197,14,0.019000," ","int(x*(2*c*x^2+b)/(c*x^4+b*x^2)^8,x)","-\frac{\left(-\frac{b^{6}}{7 \left(c \,x^{2}+b \right)^{7} c}-\frac{b^{5}}{\left(c \,x^{2}+b \right)^{6} c}-\frac{4 b^{4}}{\left(c \,x^{2}+b \right)^{5} c}-\frac{12 b^{3}}{\left(c \,x^{2}+b \right)^{4} c}-\frac{30 b^{2}}{\left(c \,x^{2}+b \right)^{3} c}-\frac{66 b}{\left(c \,x^{2}+b \right)^{2} c}-\frac{132}{\left(c \,x^{2}+b \right) c}\right) c^{8}}{2 b^{13}}-\frac{66 c^{6}}{b^{13} x^{2}}+\frac{33 c^{5}}{b^{12} x^{4}}-\frac{15 c^{4}}{b^{11} x^{6}}+\frac{6 c^{3}}{b^{10} x^{8}}-\frac{2 c^{2}}{b^{9} x^{10}}+\frac{c}{2 b^{8} x^{12}}-\frac{1}{14 b^{7} x^{14}}"," ",0,"-1/14/b^7/x^14-66/b^13*c^6/x^2+33/b^12*c^5/x^4-15/b^11*c^4/x^6+6/b^10*c^3/x^8-2/b^9*c^2/x^10+1/2/b^8*c/x^12-1/2*c^8/b^13*(-12*b^3/c/(c*x^2+b)^4-30*b^2/c/(c*x^2+b)^3-132/c/(c*x^2+b)-b^5/c/(c*x^2+b)^6-4*b^4/c/(c*x^2+b)^5-66*b/c/(c*x^2+b)^2-1/7*b^6/c/(c*x^2+b)^7)","B"
127,1,197,14,0.013000," ","int(x^2*(2*c*x^3+b)/(c*x^6+b*x^3)^8,x)","-\frac{\left(-\frac{b^{6}}{7 \left(c \,x^{3}+b \right)^{7} c}-\frac{b^{5}}{\left(c \,x^{3}+b \right)^{6} c}-\frac{4 b^{4}}{\left(c \,x^{3}+b \right)^{5} c}-\frac{12 b^{3}}{\left(c \,x^{3}+b \right)^{4} c}-\frac{30 b^{2}}{\left(c \,x^{3}+b \right)^{3} c}-\frac{66 b}{\left(c \,x^{3}+b \right)^{2} c}-\frac{132}{\left(c \,x^{3}+b \right) c}\right) c^{8}}{3 b^{13}}-\frac{44 c^{6}}{b^{13} x^{3}}+\frac{22 c^{5}}{b^{12} x^{6}}-\frac{10 c^{4}}{b^{11} x^{9}}+\frac{4 c^{3}}{b^{10} x^{12}}-\frac{4 c^{2}}{3 b^{9} x^{15}}+\frac{c}{3 b^{8} x^{18}}-\frac{1}{21 b^{7} x^{21}}"," ",0,"-1/21/b^7/x^21-44/b^13*c^6/x^3+22/b^12*c^5/x^6-10/b^11*c^4/x^9+4/b^10*c^3/x^12-4/3/b^9*c^2/x^15+1/3/b^8*c/x^18-1/3*c^8/b^13*(-12*b^3/c/(c*x^3+b)^4-30*b^2/c/(c*x^3+b)^3-132/c/(c*x^3+b)-b^5/c/(c*x^3+b)^6-4*b^4/c/(c*x^3+b)^5-66*b/c/(c*x^3+b)^2-1/7*b^6/c/(c*x^3+b)^7)","B"
128,1,203,21,0.052000," ","int(x^(n-1)*(b+2*c*x^n)/(b*x^n+c*x^(2*n))^8,x)","-\frac{x^{-7 n}}{7 b^{7} n}+\frac{c \,x^{-6 n}}{b^{8} n}-\frac{4 c^{2} x^{-5 n}}{b^{9} n}+\frac{12 c^{3} x^{-4 n}}{b^{10} n}-\frac{30 c^{4} x^{-3 n}}{b^{11} n}+\frac{66 c^{5} x^{-2 n}}{b^{12} n}+\frac{\left(9009 b^{5} c \,x^{n}+20020 b^{4} c^{2} x^{2 n}+24024 b^{3} c^{3} x^{3 n}+16380 b^{2} c^{4} x^{4 n}+6006 b \,c^{5} x^{5 n}+924 c^{6} x^{6 n}+1716 b^{6}\right) c^{7}}{7 \left(c \,x^{n}+b \right)^{7} b^{13} n}-\frac{132 c^{6} x^{-n}}{b^{13} n}"," ",0,"-132/b^13*c^6/n/(x^n)+66/b^12*c^5/n/(x^n)^2-30/b^11*c^4/n/(x^n)^3+12/b^10*c^3/n/(x^n)^4-4/b^9*c^2/n/(x^n)^5+1/b^8*c/n/(x^n)^6-1/7/b^7/n/(x^n)^7+1/7*c^7*(924*(x^n)^6*c^6+6006*b*c^5*(x^n)^5+16380*b^2*c^4*(x^n)^4+24024*b^3*c^3*(x^n)^3+20020*b^4*c^2*(x^n)^2+9009*b^5*c*x^n+1716*b^6)/b^13/n/(b+c*x^n)^7","B"
129,1,21,20,0.003000," ","int((2*c*x+b)*(c*x^2+b*x+a)^p,x)","\frac{\left(c \,x^{2}+b x +a \right)^{p +1}}{p +1}"," ",0,"(c*x^2+b*x+a)^(p+1)/(p+1)","A"
130,1,24,23,0.004000," ","int(x*(2*c*x^2+b)*(c*x^4+b*x^2+a)^p,x)","\frac{\left(c \,x^{4}+b \,x^{2}+a \right)^{p +1}}{2 p +2}"," ",0,"1/2*(c*x^4+b*x^2+a)^(p+1)/(p+1)","A"
131,1,24,23,0.006000," ","int(x^2*(2*c*x^3+b)*(c*x^6+b*x^3+a)^p,x)","\frac{\left(c \,x^{6}+b \,x^{3}+a \right)^{p +1}}{3 p +3}"," ",0,"1/3*(c*x^6+b*x^3+a)^(p+1)/(p+1)","A"
132,1,40,27,0.059000," ","int(x^(n-1)*(b+2*c*x^n)*(b*x^n+c*x^(2*n)+a)^p,x)","\frac{\left(b \,x^{n}+c \,x^{2 n}+a \right) \left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}}{\left(p +1\right) n}"," ",0,"(a+b*x^n+c*(x^n)^2)/(p+1)/n*(a+b*x^n+c*(x^n)^2)^p","A"
133,1,23,22,0.001000," ","int((2*c*x+b)*(c*x^2+b*x-a)^p,x)","\frac{\left(c \,x^{2}+b x -a \right)^{p +1}}{p +1}"," ",0,"(c*x^2+b*x-a)^(p+1)/(p+1)","A"
134,1,26,25,0.003000," ","int(x*(2*c*x^2+b)*(c*x^4+b*x^2-a)^p,x)","\frac{\left(c \,x^{4}+b \,x^{2}-a \right)^{p +1}}{2 p +2}"," ",0,"1/2*(c*x^4+b*x^2-a)^(p+1)/(p+1)","A"
135,1,26,25,0.006000," ","int(x^2*(2*c*x^3+b)*(c*x^6+b*x^3-a)^p,x)","\frac{\left(c \,x^{6}+b \,x^{3}-a \right)^{p +1}}{3 p +3}"," ",0,"1/3*(c*x^6+b*x^3-a)^(p+1)/(p+1)","A"
136,1,45,29,0.060000," ","int(x^(n-1)*(b+2*c*x^n)*(-a+b*x^n+c*x^(2*n))^p,x)","-\frac{\left(-b \,x^{n}-c \,x^{2 n}+a \right) \left(b \,x^{n}+c \,x^{2 n}-a \right)^{p}}{\left(p +1\right) n}"," ",0,"-(-c*(x^n)^2-b*x^n+a)/(p+1)/n*(-a+b*x^n+c*(x^n)^2)^p","A"
137,1,24,19,0.005000," ","int((2*c*x+b)*(c*x^2+b*x)^p,x)","\frac{\left(c x +b \right) x \left(c \,x^{2}+b x \right)^{p}}{p +1}"," ",0,"(c*x+b)*x/(p+1)*(c*x^2+b*x)^p","A"
138,1,31,22,0.003000," ","int(x*(2*c*x^2+b)*(c*x^4+b*x^2)^p,x)","\frac{\left(c \,x^{2}+b \right) x^{2} \left(c \,x^{4}+b \,x^{2}\right)^{p}}{2 p +2}"," ",0,"1/2*(c*x^2+b)*x^2/(p+1)*(c*x^4+b*x^2)^p","A"
139,1,31,22,0.003000," ","int(x^2*(2*c*x^3+b)*(c*x^6+b*x^3)^p,x)","\frac{\left(c \,x^{3}+b \right) x^{3} \left(c \,x^{6}+b \,x^{3}\right)^{p}}{3 p +3}"," ",0,"1/3*(c*x^3+b)*x^3/(p+1)*(c*x^6+b*x^3)^p","A"
140,1,155,26,0.106000," ","int(x^(n-1)*(b+2*c*x^n)*(b*x^n+c*x^(2*n))^p,x)","\frac{\left(c \,x^{n}+b \right) x^{n} {\mathrm e}^{\frac{\left(-i \pi  \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i \left(c \,x^{n}+b \right)\right) \mathrm{csgn}\left(i \left(c \,x^{n}+b \right) x^{n}\right)+i \pi  \,\mathrm{csgn}\left(i x^{n}\right) \mathrm{csgn}\left(i \left(c \,x^{n}+b \right) x^{n}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(c \,x^{n}+b \right)\right) \mathrm{csgn}\left(i \left(c \,x^{n}+b \right) x^{n}\right)^{2}-i \pi  \mathrm{csgn}\left(i \left(c \,x^{n}+b \right) x^{n}\right)^{3}+2 \ln \left(x^{n}\right)+2 \ln \left(c \,x^{n}+b \right)\right) p}{2}}}{\left(p +1\right) n}"," ",0,"x^n*(c*x^n+b)/(p+1)/n*exp(1/2*p*(-I*Pi*csgn(I*x^n*(c*x^n+b))^3+I*Pi*csgn(I*x^n*(c*x^n+b))^2*csgn(I*x^n)+I*Pi*csgn(I*x^n*(c*x^n+b))^2*csgn(I*(c*x^n+b))-I*Pi*csgn(I*x^n*(c*x^n+b))*csgn(I*x^n)*csgn(I*(c*x^n+b))+2*ln(x^n)+2*ln(c*x^n+b)))","C"
141,0,0,186,0.034000," ","int((f*x)^m*(e*x^n+d)/(b*x^n+c*x^(2*n)+a),x)","\int \frac{\left(e \,x^{n}+d \right) \left(f x \right)^{m}}{b \,x^{n}+c \,x^{2 n}+a}\, dx"," ",0,"int((f*x)^m*(e*x^n+d)/(b*x^n+c*x^(2*n)+a),x)","F"
142,0,0,364,0.041000," ","int((f*x)^m*(e*x^n+d)/(b*x^n+c*x^(2*n)+a)^2,x)","\int \frac{\left(e \,x^{n}+d \right) \left(f x \right)^{m}}{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{2}}\, dx"," ",0,"int((f*x)^m*(e*x^n+d)/(b*x^n+c*x^(2*n)+a)^2,x)","F"
143,0,0,799,0.061000," ","int((f*x)^m*(e*x^n+d)/(b*x^n+c*x^(2*n)+a)^3,x)","\int \frac{\left(e \,x^{n}+d \right) \left(f x \right)^{m}}{\left(b \,x^{n}+c \,x^{2 n}+a \right)^{3}}\, dx"," ",0,"int((f*x)^m*(e*x^n+d)/(b*x^n+c*x^(2*n)+a)^3,x)","F"
144,1,36,31,0.002000," ","int((c^(1/3)-2*d^(1/3)*x^(1/3))/(c*d^(1/3)*x^(2/3)-c^(2/3)*d^(2/3)*x+c^(1/3)*d*x^(4/3)),x)","-\frac{3 \ln \left(-c^{\frac{1}{3}} d \,x^{\frac{2}{3}}+c^{\frac{2}{3}} d^{\frac{2}{3}} x^{\frac{1}{3}}-c \,d^{\frac{1}{3}}\right)}{c^{\frac{1}{3}} d^{\frac{2}{3}}}"," ",0,"-3/d^(2/3)/c^(1/3)*ln(c^(2/3)*d^(2/3)*x^(1/3)-c^(1/3)*x^(2/3)*d-c*d^(1/3))","A"
145,0,0,233,0.092000," ","int((f*x)^m*(e*x^n+d)^q/(b*x^n+c*x^(2*n)+a),x)","\int \frac{\left(f x \right)^{m} \left(e \,x^{n}+d \right)^{q}}{b \,x^{n}+c \,x^{2 n}+a}\, dx"," ",0,"int((f*x)^m*(e*x^n+d)^q/(b*x^n+c*x^(2*n)+a),x)","F"
146,0,0,198,0.092000," ","int(x^2*(e*x^n+d)^q/(b*x^n+c*x^(2*n)+a),x)","\int \frac{x^{2} \left(e \,x^{n}+d \right)^{q}}{b \,x^{n}+c \,x^{2 n}+a}\, dx"," ",0,"int(x^2*(e*x^n+d)^q/(b*x^n+c*x^(2*n)+a),x)","F"
147,0,0,198,0.090000," ","int(x*(e*x^n+d)^q/(b*x^n+c*x^(2*n)+a),x)","\int \frac{x \left(e \,x^{n}+d \right)^{q}}{b \,x^{n}+c \,x^{2 n}+a}\, dx"," ",0,"int(x*(e*x^n+d)^q/(b*x^n+c*x^(2*n)+a),x)","F"
148,0,0,186,0.089000," ","int((e*x^n+d)^q/(b*x^n+c*x^(2*n)+a),x)","\int \frac{\left(e \,x^{n}+d \right)^{q}}{b \,x^{n}+c \,x^{2 n}+a}\, dx"," ",0,"int((e*x^n+d)^q/(b*x^n+c*x^(2*n)+a),x)","F"
149,0,0,257,0.095000," ","int((e*x^n+d)^q/x/(b*x^n+c*x^(2*n)+a),x)","\int \frac{\left(e \,x^{n}+d \right)^{q}}{\left(b \,x^{n}+c \,x^{2 n}+a \right) x}\, dx"," ",0,"int((e*x^n+d)^q/x/(b*x^n+c*x^(2*n)+a),x)","F"
150,0,0,198,0.091000," ","int((e*x^n+d)^q/x^2/(b*x^n+c*x^(2*n)+a),x)","\int \frac{\left(e \,x^{n}+d \right)^{q}}{\left(b \,x^{n}+c \,x^{2 n}+a \right) x^{2}}\, dx"," ",0,"int((e*x^n+d)^q/x^2/(b*x^n+c*x^(2*n)+a),x)","F"
151,0,0,196,0.089000," ","int((e*x^n+d)^q/x^3/(b*x^n+c*x^(2*n)+a),x)","\int \frac{\left(e \,x^{n}+d \right)^{q}}{\left(b \,x^{n}+c \,x^{2 n}+a \right) x^{3}}\, dx"," ",0,"int((e*x^n+d)^q/x^3/(b*x^n+c*x^(2*n)+a),x)","F"
152,0,0,474,0.069000," ","int((f*x)^m*(e*x^n+d)^2*(b*x^n+c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right)^{2} \left(f x \right)^{m} \left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((f*x)^m*(e*x^n+d)^2*(b*x^n+c*x^(2*n)+a)^p,x)","F"
153,0,0,307,0.052000," ","int((f*x)^m*(e*x^n+d)*(b*x^n+c*x^(2*n)+a)^p,x)","\int \left(e \,x^{n}+d \right) \left(f x \right)^{m} \left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((f*x)^m*(e*x^n+d)*(b*x^n+c*x^(2*n)+a)^p,x)","F"
154,0,0,150,0.050000," ","int((f*x)^m*(b*x^n+c*x^(2*n)+a)^p,x)","\int \left(f x \right)^{m} \left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}\, dx"," ",0,"int((f*x)^m*(b*x^n+c*x^(2*n)+a)^p,x)","F"
155,0,0,33,0.088000," ","int((f*x)^m*(b*x^n+c*x^(2*n)+a)^p/(e*x^n+d),x)","\int \frac{\left(f x \right)^{m} \left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}}{e \,x^{n}+d}\, dx"," ",0,"int((f*x)^m*(b*x^n+c*x^(2*n)+a)^p/(e*x^n+d),x)","F"
156,0,0,33,0.092000," ","int((f*x)^m*(b*x^n+c*x^(2*n)+a)^p/(e*x^n+d)^2,x)","\int \frac{\left(f x \right)^{m} \left(b \,x^{n}+c \,x^{2 n}+a \right)^{p}}{\left(e \,x^{n}+d \right)^{2}}\, dx"," ",0,"int((f*x)^m*(b*x^n+c*x^(2*n)+a)^p/(e*x^n+d)^2,x)","F"