1,1,371,212,0.059000," ","int((e*x+d)^2*(C*x^2+B*x+A)*(-e^2*x^2+d^2)^(1/2),x)","\frac{5 A \,d^{4} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{8 \sqrt{e^{2}}}+\frac{B \,d^{5} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{4 \sqrt{e^{2}}\, e}+\frac{3 C \,d^{6} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{16 \sqrt{e^{2}}\, e^{2}}+\frac{5 \sqrt{-e^{2} x^{2}+d^{2}}\, A \,d^{2} x}{8}+\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, B \,d^{3} x}{4 e}+\frac{3 \sqrt{-e^{2} x^{2}+d^{2}}\, C \,d^{4} x}{16 e^{2}}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} C \,x^{3}}{6}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} B \,x^{2}}{5}-\frac{2 \left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} C d \,x^{2}}{5 e}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} A x}{4}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} B d x}{2 e}-\frac{3 \left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} C \,d^{2} x}{8 e^{2}}-\frac{2 \left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} A d}{3 e}-\frac{7 \left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} B \,d^{2}}{15 e^{2}}-\frac{4 \left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} C \,d^{3}}{15 e^{3}}"," ",0,"-1/6*C*x^3*(-e^2*x^2+d^2)^(3/2)-3/8/e^2*C*d^2*x*(-e^2*x^2+d^2)^(3/2)+3/16/e^2*C*d^4*x*(-e^2*x^2+d^2)^(1/2)+3/16/e^2*C*d^6/(e^2)^(1/2)*arctan((e^2)^(1/2)*x/(-e^2*x^2+d^2)^(1/2))-1/5*x^2*(-e^2*x^2+d^2)^(3/2)*B-2/5*x^2*(-e^2*x^2+d^2)^(3/2)/e*d*C-7/15*d^2/e^2*(-e^2*x^2+d^2)^(3/2)*B-4/15*d^3/e^3*(-e^2*x^2+d^2)^(3/2)*C-1/4*x*(-e^2*x^2+d^2)^(3/2)*A-1/2*x*(-e^2*x^2+d^2)^(3/2)/e*B*d+5/8*d^2*x*(-e^2*x^2+d^2)^(1/2)*A+1/4*d^3/e*x*(-e^2*x^2+d^2)^(1/2)*B+5/8*d^4/(e^2)^(1/2)*arctan((e^2)^(1/2)*x/(-e^2*x^2+d^2)^(1/2))*A+1/4*d^5/e/(e^2)^(1/2)*arctan((e^2)^(1/2)*x/(-e^2*x^2+d^2)^(1/2))*B-2/3*(-e^2*x^2+d^2)^(3/2)/e*A*d","A"
2,1,304,166,0.017000," ","int((e*x+d)*(C*x^2+B*x+A)*(-e^2*x^2+d^2)^(1/2),x)","\frac{A \,d^{3} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{2 \sqrt{e^{2}}}+\frac{B \,d^{4} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{8 \sqrt{e^{2}}\, e}+\frac{C \,d^{5} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{8 \sqrt{e^{2}}\, e^{2}}+\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, A d x}{2}+\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, B \,d^{2} x}{8 e}+\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, C \,d^{3} x}{8 e^{2}}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} C \,x^{2}}{5 e}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} B x}{4 e}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} C d x}{4 e^{2}}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} A}{3 e}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} B d}{3 e^{2}}-\frac{2 \left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} C \,d^{2}}{15 e^{3}}"," ",0,"-1/5*C*x^2*(-e^2*x^2+d^2)^(3/2)/e-2/15/e^3*C*d^2*(-e^2*x^2+d^2)^(3/2)-1/4*x*(-e^2*x^2+d^2)^(3/2)/e*B-1/4*x*(-e^2*x^2+d^2)^(3/2)/e^2*C*d+1/8*d^2/e*x*(-e^2*x^2+d^2)^(1/2)*B+1/8*d^3/e^2*x*(-e^2*x^2+d^2)^(1/2)*C+1/8*d^4/e/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)*B+1/8*d^5/e^2/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)*C-1/3*(-e^2*x^2+d^2)^(3/2)/e*A-1/3*(-e^2*x^2+d^2)^(3/2)/e^2*B*d+1/2*d*A*x*(-e^2*x^2+d^2)^(1/2)+1/2*d^3*A/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)","A"
3,1,154,109,0.007000," ","int((C*x^2+B*x+A)*(-e^2*x^2+d^2)^(1/2),x)","\frac{A \,d^{2} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{2 \sqrt{e^{2}}}+\frac{C \,d^{4} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{8 \sqrt{e^{2}}\, e^{2}}+\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, A x}{2}+\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, C \,d^{2} x}{8 e^{2}}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} C x}{4 e^{2}}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} B}{3 e^{2}}"," ",0,"-1/4*C*x*(-e^2*x^2+d^2)^(3/2)/e^2+1/8*C*d^2/e^2*x*(-e^2*x^2+d^2)^(1/2)+1/8*C*d^4/e^2/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)-1/3*B*(-e^2*x^2+d^2)^(3/2)/e^2+1/2*A*x*(-e^2*x^2+d^2)^(1/2)+1/2*A*d^2/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)","A"
4,1,384,132,0.023000," ","int((C*x^2+B*x+A)*(-e^2*x^2+d^2)^(1/2)/(e*x+d),x)","\frac{A d \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}\right)}{\sqrt{e^{2}}}-\frac{B \,d^{2} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}\right)}{\sqrt{e^{2}}\, e}+\frac{B \,d^{2} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{2 \sqrt{e^{2}}\, e}+\frac{C \,d^{3} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}\right)}{\sqrt{e^{2}}\, e^{2}}-\frac{C \,d^{3} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{2 \sqrt{e^{2}}\, e^{2}}+\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, B x}{2 e}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, C d x}{2 e^{2}}+\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, A}{e}-\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, B d}{e^{2}}+\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, C \,d^{2}}{e^{3}}-\frac{\left(-e^{2} x^{2}+d^{2}\right)^{\frac{3}{2}} C}{3 e^{3}}"," ",0,"-1/3*C*(-e^2*x^2+d^2)^(3/2)/e^3+1/2/e*B*x*(-e^2*x^2+d^2)^(1/2)+1/2/e*B*d^2/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)-1/2/e^2*C*d*x*(-e^2*x^2+d^2)^(1/2)-1/2/e^2*C*d^3/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)+1/e*(-(x+d/e)^2*e^2+2*d*e*(x+d/e))^(1/2)*A-1/e^2*(-(x+d/e)^2*e^2+2*d*e*(x+d/e))^(1/2)*B*d+1/e^3*(-(x+d/e)^2*e^2+2*d*e*(x+d/e))^(1/2)*C*d^2+d/(e^2)^(1/2)*arctan((e^2)^(1/2)*x/(-(x+d/e)^2*e^2+2*d*e*(x+d/e))^(1/2))*A-1/e*d^2/(e^2)^(1/2)*arctan((e^2)^(1/2)*x/(-(x+d/e)^2*e^2+2*d*e*(x+d/e))^(1/2))*B+1/e^2*d^3/(e^2)^(1/2)*arctan((e^2)^(1/2)*x/(-(x+d/e)^2*e^2+2*d*e*(x+d/e))^(1/2))*C","B"
5,1,439,156,0.028000," ","int((C*x^2+B*x+A)*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^2,x)","-\frac{A \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}\right)}{\sqrt{e^{2}}}+\frac{2 B d \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}\right)}{\sqrt{e^{2}}\, e}-\frac{3 C \,d^{2} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}\right)}{\sqrt{e^{2}}\, e^{2}}+\frac{C \,d^{2} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{2 \sqrt{e^{2}}\, e^{2}}+\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, C x}{2 e^{2}}-\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, A}{d e}+\frac{2 \sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, B}{e^{2}}-\frac{3 \sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, C d}{e^{3}}-\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} A}{\left(x +\frac{d}{e}\right)^{2} d \,e^{3}}+\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} B}{\left(x +\frac{d}{e}\right)^{2} e^{4}}-\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} C d}{\left(x +\frac{d}{e}\right)^{2} e^{5}}"," ",0,"1/2*C*x*(-e^2*x^2+d^2)^(1/2)/e^2+1/2*C/e^2*d^2/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)-1/e^3/d/(x+d/e)^2*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*A+1/e^4/(x+d/e)^2*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*B-1/e^5*d/(x+d/e)^2*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*C-1/e/d*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*A+2/e^2*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*B-3/e^3*d*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*C-1/(e^2)^(1/2)*arctan((e^2)^(1/2)/(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*x)*A+2/e/(e^2)^(1/2)*arctan((e^2)^(1/2)/(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*x)*B*d-3/e^2/(e^2)^(1/2)*arctan((e^2)^(1/2)/(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*x)*C*d^2","B"
6,1,318,139,0.018000," ","int((C*x^2+B*x+A)*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^3,x)","-\frac{B \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}\right)}{\sqrt{e^{2}}\, e}+\frac{3 C d \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}\right)}{\sqrt{e^{2}}\, e^{2}}-\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, B}{d \,e^{2}}+\frac{3 \sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, C}{e^{3}}-\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} B}{\left(x +\frac{d}{e}\right)^{2} d \,e^{4}}+\frac{2 \left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} C}{\left(x +\frac{d}{e}\right)^{2} e^{5}}-\frac{\left(A \,e^{2}-B d e +C \,d^{2}\right) \left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}}}{3 \left(x +\frac{d}{e}\right)^{3} d \,e^{6}}"," ",0,"-1/e^4/d/(x+d/e)^2*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*B+2/e^5/(x+d/e)^2*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*C-1/e^2/d*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*B+3/e^3*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*C-1/e/(e^2)^(1/2)*arctan((e^2)^(1/2)/(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*x)*B+3/e^2/(e^2)^(1/2)*arctan((e^2)^(1/2)/(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*x)*C*d-1/3*(A*e^2-B*d*e+C*d^2)/e^6/d/(x+d/e)^3*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)","B"
7,1,453,180,0.017000," ","int((C*x^2+B*x+A)*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4,x)","-\frac{C \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}\right)}{\sqrt{e^{2}}\, e^{2}}-\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, C}{d \,e^{3}}-\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} A}{5 \left(x +\frac{d}{e}\right)^{4} d \,e^{5}}-\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} A}{15 \left(x +\frac{d}{e}\right)^{3} d^{2} e^{4}}+\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} B}{15 \left(x +\frac{d}{e}\right)^{3} d \,e^{5}}+\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} B}{5 \left(x +\frac{d}{e}\right)^{4} e^{6}}-\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} C d}{5 \left(x +\frac{d}{e}\right)^{4} e^{7}}-\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} C}{\left(x +\frac{d}{e}\right)^{2} d \,e^{5}}-\frac{\left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}} C}{15 \left(x +\frac{d}{e}\right)^{3} e^{6}}-\frac{\left(B e -2 C d \right) \left(2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}\right)^{\frac{3}{2}}}{3 \left(x +\frac{d}{e}\right)^{3} d \,e^{6}}"," ",0,"-C/e^5/d/(x+d/e)^2*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)-C/e^3/d*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)-C/e^2/(e^2)^(1/2)*arctan((e^2)^(1/2)/(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*x)-1/5/e^5/d/(x+d/e)^4*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*A+1/5/e^6/(x+d/e)^4*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*B-1/5/e^7*d/(x+d/e)^4*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*C-1/15/e^4/d^2/(x+d/e)^3*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*A+1/15/e^5/d/(x+d/e)^3*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*B-1/15/e^6/(x+d/e)^3*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)*C-1/3*(B*e-2*C*d)/e^6/d/(x+d/e)^3*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(3/2)","B"
8,1,116,166,0.009000," ","int((C*x^2+B*x+A)*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^5,x)","-\frac{\left(-e x +d \right) \left(2 A \,e^{4} x^{2}+5 B d \,e^{3} x^{2}+23 C \,d^{2} e^{2} x^{2}+10 A d \,e^{3} x +25 B \,d^{2} e^{2} x +10 C \,d^{3} e x +23 A \,d^{2} e^{2}+5 B \,d^{3} e +2 C \,d^{4}\right) \sqrt{-e^{2} x^{2}+d^{2}}}{105 \left(e x +d \right)^{4} d^{3} e^{3}}"," ",0,"-1/105*(-e*x+d)*(2*A*e^4*x^2+5*B*d*e^3*x^2+23*C*d^2*e^2*x^2+10*A*d*e^3*x+25*B*d^2*e^2*x+10*C*d^3*e*x+23*A*d^2*e^2+5*B*d^3*e+2*C*d^4)*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^4/d^3/e^3","A"
9,1,152,214,0.011000," ","int((C*x^2+B*x+A)*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^6,x)","-\frac{\left(-e x +d \right) \left(2 A \,e^{5} x^{3}+4 B d \,e^{4} x^{3}+11 C \,d^{2} e^{3} x^{3}+12 A d \,e^{4} x^{2}+24 B \,d^{2} e^{3} x^{2}+66 C \,d^{3} e^{2} x^{2}+33 A \,d^{2} e^{3} x +66 B \,d^{3} e^{2} x +24 C \,d^{4} e x +58 A \,d^{3} e^{2}+11 B \,d^{4} e +4 C \,d^{5}\right) \sqrt{-e^{2} x^{2}+d^{2}}}{315 \left(e x +d \right)^{5} d^{4} e^{3}}"," ",0,"-1/315*(-e*x+d)*(2*A*e^5*x^3+4*B*d*e^4*x^3+11*C*d^2*e^3*x^3+12*A*d*e^4*x^2+24*B*d^2*e^3*x^2+66*C*d^3*e^2*x^2+33*A*d^2*e^3*x+66*B*d^3*e^2*x+24*C*d^4*e*x+58*A*d^3*e^2+11*B*d^4*e+4*C*d^5)*(-e^2*x^2+d^2)^(1/2)/(e*x+d)^5/d^4/e^3","A"
10,1,374,212,0.031000," ","int((e*x+d)^3*(C*x^2+B*x+A)/(-e^2*x^2+d^2)^(1/2),x)","-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, C e \,x^{4}}{5}+\frac{5 A \,d^{3} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{2 \sqrt{e^{2}}}+\frac{15 B \,d^{4} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{8 \sqrt{e^{2}}\, e}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, B e \,x^{3}}{4}+\frac{13 C \,d^{5} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{8 \sqrt{e^{2}}\, e^{2}}-\frac{3 \sqrt{-e^{2} x^{2}+d^{2}}\, C d \,x^{3}}{4}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, A e \,x^{2}}{3}-\sqrt{-e^{2} x^{2}+d^{2}}\, B d \,x^{2}-\frac{19 \sqrt{-e^{2} x^{2}+d^{2}}\, C \,d^{2} x^{2}}{15 e}-\frac{3 \sqrt{-e^{2} x^{2}+d^{2}}\, A d x}{2}-\frac{15 \sqrt{-e^{2} x^{2}+d^{2}}\, B \,d^{2} x}{8 e}-\frac{13 \sqrt{-e^{2} x^{2}+d^{2}}\, C \,d^{3} x}{8 e^{2}}-\frac{11 \sqrt{-e^{2} x^{2}+d^{2}}\, A \,d^{2}}{3 e}-\frac{3 \sqrt{-e^{2} x^{2}+d^{2}}\, B \,d^{3}}{e^{2}}-\frac{38 \sqrt{-e^{2} x^{2}+d^{2}}\, C \,d^{4}}{15 e^{3}}"," ",0,"-1/5*C*e*x^4*(-e^2*x^2+d^2)^(1/2)-19/15/e*C*d^2*x^2*(-e^2*x^2+d^2)^(1/2)-38/15/e^3*C*d^4*(-e^2*x^2+d^2)^(1/2)-1/4*x^3*e*(-e^2*x^2+d^2)^(1/2)*B-3/4*x^3*(-e^2*x^2+d^2)^(1/2)*d*C-15/8*(-e^2*x^2+d^2)^(1/2)*B*d^2/e*x-13/8*(-e^2*x^2+d^2)^(1/2)*C*d^3/e^2*x+15/8/(e^2)^(1/2)*B*d^4/e*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)+13/8/(e^2)^(1/2)*C*d^5/e^2*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)-1/3*x^2*e*(-e^2*x^2+d^2)^(1/2)*A-x^2*(-e^2*x^2+d^2)^(1/2)*d*B-11/3*d^2/e*(-e^2*x^2+d^2)^(1/2)*A-3*d^3/e^2*(-e^2*x^2+d^2)^(1/2)*B-3/2*(-e^2*x^2+d^2)^(1/2)*A*d*x+5/2/(e^2)^(1/2)*A*d^3*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)","A"
11,1,301,171,0.012000," ","int((e*x+d)^2*(C*x^2+B*x+A)/(-e^2*x^2+d^2)^(1/2),x)","\frac{3 A \,d^{2} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{2 \sqrt{e^{2}}}+\frac{B \,d^{3} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{\sqrt{e^{2}}\, e}+\frac{7 C \,d^{4} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{8 \sqrt{e^{2}}\, e^{2}}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, C \,x^{3}}{4}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, B \,x^{2}}{3}-\frac{2 \sqrt{-e^{2} x^{2}+d^{2}}\, C d \,x^{2}}{3 e}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, A x}{2}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, B d x}{e}-\frac{7 \sqrt{-e^{2} x^{2}+d^{2}}\, C \,d^{2} x}{8 e^{2}}-\frac{2 \sqrt{-e^{2} x^{2}+d^{2}}\, A d}{e}-\frac{5 \sqrt{-e^{2} x^{2}+d^{2}}\, B \,d^{2}}{3 e^{2}}-\frac{4 \sqrt{-e^{2} x^{2}+d^{2}}\, C \,d^{3}}{3 e^{3}}"," ",0,"-1/4*C*x^3*(-e^2*x^2+d^2)^(1/2)-7/8*(-e^2*x^2+d^2)^(1/2)*C*d^2/e^2*x+7/8/(e^2)^(1/2)*C*d^4/e^2*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)-1/3*x^2*(-e^2*x^2+d^2)^(1/2)*B-2/3*x^2/e*(-e^2*x^2+d^2)^(1/2)*d*C-5/3*d^2/e^2*(-e^2*x^2+d^2)^(1/2)*B-4/3*d^3/e^3*(-e^2*x^2+d^2)^(1/2)*C-1/2*(-e^2*x^2+d^2)^(1/2)*A*x-x/e*(-e^2*x^2+d^2)^(1/2)*B*d+3/2/(e^2)^(1/2)*A*d^2*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)+d^3/e/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)*B-2/e*(-e^2*x^2+d^2)^(1/2)*A*d","A"
12,1,234,127,0.011000," ","int((e*x+d)*(C*x^2+B*x+A)/(-e^2*x^2+d^2)^(1/2),x)","\frac{A d \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{\sqrt{e^{2}}}+\frac{B \,d^{2} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{2 \sqrt{e^{2}}\, e}+\frac{C \,d^{3} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{2 \sqrt{e^{2}}\, e^{2}}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, C \,x^{2}}{3 e}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, B x}{2 e}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, C d x}{2 e^{2}}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, A}{e}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, B d}{e^{2}}-\frac{2 \sqrt{-e^{2} x^{2}+d^{2}}\, C \,d^{2}}{3 e^{3}}"," ",0,"-1/3*C*x^2*(-e^2*x^2+d^2)^(1/2)/e-2/3/e^3*C*d^2*(-e^2*x^2+d^2)^(1/2)-1/2*(-e^2*x^2+d^2)^(1/2)*B/e*x-1/2*(-e^2*x^2+d^2)^(1/2)*C*d/e^2*x+1/2/(e^2)^(1/2)*B*d^2/e*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)+1/2/(e^2)^(1/2)*C*d^3/e^2*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)-1/e*(-e^2*x^2+d^2)^(1/2)*A-1/e^2*(-e^2*x^2+d^2)^(1/2)*B*d+A*d/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)","A"
13,1,108,77,0.006000," ","int((C*x^2+B*x+A)/(-e^2*x^2+d^2)^(1/2),x)","\frac{A \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{\sqrt{e^{2}}}+\frac{C \,d^{2} \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{2 \sqrt{e^{2}}\, e^{2}}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, C x}{2 e^{2}}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, B}{e^{2}}"," ",0,"-1/2*(-e^2*x^2+d^2)^(1/2)*C/e^2*x+1/2/(e^2)^(1/2)*C*d^2/e^2*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)-B*(-e^2*x^2+d^2)^(1/2)/e^2+A/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)","A"
14,1,149,97,0.014000," ","int((C*x^2+B*x+A)/(e*x+d)/(-e^2*x^2+d^2)^(1/2),x)","\frac{B \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{\sqrt{e^{2}}\, e}-\frac{C d \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{\sqrt{e^{2}}\, e^{2}}-\frac{\sqrt{-e^{2} x^{2}+d^{2}}\, C}{e^{3}}-\frac{\left(A \,e^{2}-B d e +C \,d^{2}\right) \sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}{\left(x +\frac{d}{e}\right) d \,e^{4}}"," ",0,"-C*(-e^2*x^2+d^2)^(1/2)/e^3+1/e*B/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)-1/e^2*C*d/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)-(A*e^2-B*d*e+C*d^2)/e^4/d/(x+d/e)*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)","A"
15,1,355,151,0.016000," ","int((C*x^2+B*x+A)/(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x)","\frac{C \arctan \left(\frac{\sqrt{e^{2}}\, x}{\sqrt{-e^{2} x^{2}+d^{2}}}\right)}{\sqrt{e^{2}}\, e^{2}}-\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, A}{3 \left(x +\frac{d}{e}\right)^{2} d \,e^{3}}-\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, A}{3 \left(x +\frac{d}{e}\right) d^{2} e^{2}}+\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, B}{3 \left(x +\frac{d}{e}\right) d \,e^{3}}+\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, B}{3 \left(x +\frac{d}{e}\right)^{2} e^{4}}-\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, C d}{3 \left(x +\frac{d}{e}\right)^{2} e^{5}}-\frac{\sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}\, C}{3 \left(x +\frac{d}{e}\right) e^{4}}-\frac{\left(B e -2 C d \right) \sqrt{2 \left(x +\frac{d}{e}\right) d e -\left(x +\frac{d}{e}\right)^{2} e^{2}}}{\left(x +\frac{d}{e}\right) d \,e^{4}}"," ",0,"C/e^2/(e^2)^(1/2)*arctan((e^2)^(1/2)/(-e^2*x^2+d^2)^(1/2)*x)-1/3/e^3/d/(x+d/e)^2*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*A+1/3/e^4/(x+d/e)^2*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*B-1/3/e^5*d/(x+d/e)^2*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*C-1/3/e^2/d^2/(x+d/e)*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*A+1/3/e^3/d/(x+d/e)*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*B-1/3/e^4/(x+d/e)*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)*C-1/e^4*(B*e-2*C*d)/d/(x+d/e)*(2*(x+d/e)*d*e-(x+d/e)^2*e^2)^(1/2)","B"
16,1,116,166,0.012000," ","int((C*x^2+B*x+A)/(e*x+d)^3/(-e^2*x^2+d^2)^(1/2),x)","-\frac{\left(-e x +d \right) \left(2 A \,e^{4} x^{2}+3 B d \,e^{3} x^{2}+7 C \,d^{2} e^{2} x^{2}+6 A d \,e^{3} x +9 B \,d^{2} e^{2} x +6 C \,d^{3} e x +7 A \,d^{2} e^{2}+3 B \,d^{3} e +2 C \,d^{4}\right)}{15 \left(e x +d \right)^{2} \sqrt{-e^{2} x^{2}+d^{2}}\, d^{3} e^{3}}"," ",0,"-1/15*(-e*x+d)*(2*A*e^4*x^2+3*B*d*e^3*x^2+7*C*d^2*e^2*x^2+6*A*d*e^3*x+9*B*d^2*e^2*x+6*C*d^3*e*x+7*A*d^2*e^2+3*B*d^3*e+2*C*d^4)/(e*x+d)^2/d^3/e^3/(-e^2*x^2+d^2)^(1/2)","A"
17,1,152,214,0.010000," ","int((C*x^2+B*x+A)/(e*x+d)^4/(-e^2*x^2+d^2)^(1/2),x)","-\frac{\left(-e x +d \right) \left(6 A \,e^{5} x^{3}+8 B d \,e^{4} x^{3}+13 C \,d^{2} e^{3} x^{3}+24 A d \,e^{4} x^{2}+32 B \,d^{2} e^{3} x^{2}+52 C \,d^{3} e^{2} x^{2}+39 A \,d^{2} e^{3} x +52 B \,d^{3} e^{2} x +32 C \,d^{4} e x +36 A \,d^{3} e^{2}+13 B \,d^{4} e +8 C \,d^{5}\right)}{105 \left(e x +d \right)^{3} \sqrt{-e^{2} x^{2}+d^{2}}\, d^{4} e^{3}}"," ",0,"-1/105*(-e*x+d)*(6*A*e^5*x^3+8*B*d*e^4*x^3+13*C*d^2*e^3*x^3+24*A*d*e^4*x^2+32*B*d^2*e^3*x^2+52*C*d^3*e^2*x^2+39*A*d^2*e^3*x+52*B*d^3*e^2*x+32*C*d^4*e*x+36*A*d^3*e^2+13*B*d^4*e+8*C*d^5)/(e*x+d)^3/d^4/e^3/(-e^2*x^2+d^2)^(1/2)","A"
18,1,217,165,0.002000," ","int((e*x+d)^3*(c*x^2+a)*(C*x^2+B*x+A),x)","\frac{C c \,e^{3} x^{8}}{8}+\frac{\left(e^{3} c B +3 d \,e^{2} c C \right) x^{7}}{7}+A a \,d^{3} x +\frac{\left(A c \,e^{3}+3 B c d \,e^{2}+\left(e^{3} a +3 d^{2} e c \right) C \right) x^{6}}{6}+\frac{\left(3 A c d \,e^{2}+\left(e^{3} a +3 d^{2} e c \right) B +\left(3 d \,e^{2} a +d^{3} c \right) C \right) x^{5}}{5}+\frac{\left(3 C a \,d^{2} e +\left(e^{3} a +3 d^{2} e c \right) A +\left(3 d \,e^{2} a +d^{3} c \right) B \right) x^{4}}{4}+\frac{\left(3 B a \,d^{2} e +C a \,d^{3}+\left(3 d \,e^{2} a +d^{3} c \right) A \right) x^{3}}{3}+\frac{\left(3 d^{2} e a A +d^{3} a B \right) x^{2}}{2}"," ",0,"1/8*e^3*c*C*x^8+1/7*(B*c*e^3+3*C*c*d*e^2)*x^7+1/6*((a*e^3+3*c*d^2*e)*C+3*d*e^2*c*B+e^3*c*A)*x^6+1/5*((3*a*d*e^2+c*d^3)*C+(a*e^3+3*c*d^2*e)*B+3*d*e^2*c*A)*x^5+1/4*(3*d^2*e*a*C+(3*a*d*e^2+c*d^3)*B+(a*e^3+3*c*d^2*e)*A)*x^4+1/3*(d^3*a*C+3*d^2*e*a*B+(3*a*d*e^2+c*d^3)*A)*x^3+1/2*(3*A*a*d^2*e+B*a*d^3)*x^2+d^3*a*A*x","A"
19,1,148,165,0.001000," ","int((e*x+d)^2*(c*x^2+a)*(C*x^2+B*x+A),x)","\frac{C c \,e^{2} x^{7}}{7}+\frac{\left(c \,e^{2} B +2 d e c C \right) x^{6}}{6}+A a \,d^{2} x +\frac{\left(A c \,e^{2}+2 B c d e +\left(a \,e^{2}+c \,d^{2}\right) C \right) x^{5}}{5}+\frac{\left(2 A c d e +2 C a d e +\left(a \,e^{2}+c \,d^{2}\right) B \right) x^{4}}{4}+\frac{\left(2 B a d e +C a \,d^{2}+\left(a \,e^{2}+c \,d^{2}\right) A \right) x^{3}}{3}+\frac{\left(2 d e a A +d^{2} a B \right) x^{2}}{2}"," ",0,"1/7*c*e^2*C*x^7+1/6*(B*c*e^2+2*C*c*d*e)*x^6+1/5*((a*e^2+c*d^2)*C+2*d*e*c*B+c*e^2*A)*x^5+1/4*(2*d*e*a*C+(a*e^2+c*d^2)*B+2*d*e*c*A)*x^4+1/3*(d^2*a*C+2*d*e*a*B+A*(a*e^2+c*d^2))*x^3+1/2*(2*A*a*d*e+B*a*d^2)*x^2+d^2*a*A*x","A"
20,1,79,76,0.001000," ","int((e*x+d)*(c*x^2+a)*(C*x^2+B*x+A),x)","\frac{C c e \,x^{6}}{6}+\frac{\left(e c B +c d C \right) x^{5}}{5}+A a d x +\frac{\left(A c e +B c d +a C e \right) x^{4}}{4}+\frac{\left(A c d +B a e +C a d \right) x^{3}}{3}+\frac{\left(a e A +a d B \right) x^{2}}{2}"," ",0,"1/6*c*C*e*x^6+1/5*(B*c*e+C*c*d)*x^5+1/4*(A*c*e+B*c*d+C*a*e)*x^4+1/3*(A*c*d+B*a*e+C*a*d)*x^3+1/2*(A*a*e+B*a*d)*x^2+a*A*d*x","A"
21,1,39,38,0.002000," ","int((c*x^2+a)*(C*x^2+B*x+A),x)","\frac{C c \,x^{5}}{5}+\frac{B c \,x^{4}}{4}+\frac{B a \,x^{2}}{2}+A a x +\frac{\left(A c +a C \right) x^{3}}{3}"," ",0,"a*A*x+1/2*a*B*x^2+1/3*(A*c+C*a)*x^3+1/4*B*c*x^4+1/5*c*C*x^5","A"
22,1,210,139,0.008000," ","int((c*x^2+a)*(C*x^2+B*x+A)/(e*x+d),x)","\frac{C c \,x^{4}}{4 e}+\frac{B c \,x^{3}}{3 e}-\frac{C c d \,x^{3}}{3 e^{2}}+\frac{A c \,x^{2}}{2 e}-\frac{B c d \,x^{2}}{2 e^{2}}+\frac{C a \,x^{2}}{2 e}+\frac{C c \,d^{2} x^{2}}{2 e^{3}}+\frac{A a \ln \left(e x +d \right)}{e}+\frac{A c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{A c d x}{e^{2}}-\frac{B a d \ln \left(e x +d \right)}{e^{2}}+\frac{B a x}{e}-\frac{B c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{B c \,d^{2} x}{e^{3}}+\frac{C a \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{C a d x}{e^{2}}+\frac{C c \,d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{C c \,d^{3} x}{e^{4}}"," ",0,"1/4*c*C*x^4/e+1/3/e*B*x^3*c-1/3/e^2*C*x^3*c*d+1/2/e*A*x^2*c-1/2/e^2*B*x^2*c*d+1/2/e*C*x^2*a+1/2/e^3*C*x^2*c*d^2-1/e^2*A*x*c*d+1/e*B*x*a+1/e^3*B*x*c*d^2-1/e^2*C*x*a*d-1/e^4*C*x*c*d^3+1/e*ln(e*x+d)*A*a+1/e^3*ln(e*x+d)*A*c*d^2-1/e^2*ln(e*x+d)*B*a*d-1/e^4*ln(e*x+d)*B*c*d^3+1/e^3*ln(e*x+d)*C*a*d^2+1/e^5*ln(e*x+d)*C*c*d^4","A"
23,1,234,149,0.010000," ","int((c*x^2+a)*(C*x^2+B*x+A)/(e*x+d)^2,x)","\frac{C c \,x^{3}}{3 e^{2}}+\frac{B c \,x^{2}}{2 e^{2}}-\frac{C c d \,x^{2}}{e^{3}}-\frac{A a}{\left(e x +d \right) e}-\frac{A c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 A c d \ln \left(e x +d \right)}{e^{3}}+\frac{A c x}{e^{2}}+\frac{B a d}{\left(e x +d \right) e^{2}}+\frac{B a \ln \left(e x +d \right)}{e^{2}}+\frac{B c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{3 B c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{2 B c d x}{e^{3}}-\frac{C a \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 C a d \ln \left(e x +d \right)}{e^{3}}+\frac{C a x}{e^{2}}-\frac{C c \,d^{4}}{\left(e x +d \right) e^{5}}-\frac{4 C c \,d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{3 C c \,d^{2} x}{e^{4}}"," ",0,"1/3*c*C*x^3/e^2+1/2/e^2*B*x^2*c-1/e^3*C*x^2*c*d+1/e^2*A*c*x-2/e^3*B*c*d*x+1/e^2*a*C*x+3/e^4*C*c*d^2*x-1/e/(e*x+d)*A*a-1/e^3/(e*x+d)*A*c*d^2+1/e^2/(e*x+d)*B*d*a+1/e^4/(e*x+d)*B*c*d^3-1/e^3/(e*x+d)*C*a*d^2-1/e^5/(e*x+d)*C*c*d^4-2/e^3*ln(e*x+d)*A*c*d+1/e^2*ln(e*x+d)*B*a+3/e^4*ln(e*x+d)*B*c*d^2-2/e^3*ln(e*x+d)*C*a*d-4/e^5*ln(e*x+d)*C*c*d^3","A"
24,1,257,152,0.010000," ","int((c*x^2+a)*(C*x^2+B*x+A)/(e*x+d)^3,x)","-\frac{A a}{2 \left(e x +d \right)^{2} e}-\frac{A c \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{B a d}{2 \left(e x +d \right)^{2} e^{2}}+\frac{B c \,d^{3}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{C a \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}-\frac{C c \,d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{C c \,x^{2}}{2 e^{3}}+\frac{2 A c d}{\left(e x +d \right) e^{3}}+\frac{A c \ln \left(e x +d \right)}{e^{3}}-\frac{B a}{\left(e x +d \right) e^{2}}-\frac{3 B c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{3 B c d \ln \left(e x +d \right)}{e^{4}}+\frac{B c x}{e^{3}}+\frac{2 C a d}{\left(e x +d \right) e^{3}}+\frac{C a \ln \left(e x +d \right)}{e^{3}}+\frac{4 C c \,d^{3}}{\left(e x +d \right) e^{5}}+\frac{6 C c \,d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{3 C c d x}{e^{4}}"," ",0,"1/2*c*C*x^2/e^3+c/e^3*B*x-3*c/e^4*C*d*x+2/e^3/(e*x+d)*A*c*d-1/e^2/(e*x+d)*B*a-3/e^4/(e*x+d)*B*c*d^2+2/e^3/(e*x+d)*C*a*d+4/e^5/(e*x+d)*C*c*d^3+1/e^3*ln(e*x+d)*A*c-3/e^4*ln(e*x+d)*B*c*d+1/e^3*ln(e*x+d)*a*C+6/e^5*ln(e*x+d)*C*c*d^2-1/2/e/(e*x+d)^2*A*a-1/2/e^3/(e*x+d)^2*A*d^2*c+1/2/e^2/(e*x+d)^2*B*d*a+1/2/e^4/(e*x+d)^2*B*c*d^3-1/2/e^3/(e*x+d)^2*C*d^2*a-1/2/e^5/(e*x+d)^2*C*c*d^4","A"
25,1,385,286,0.002000," ","int((e*x+d)^3*(c*x^2+a)^2*(C*x^2+B*x+A),x)","\frac{C \,c^{2} e^{3} x^{10}}{10}+\frac{\left(e^{3} c^{2} B +3 d \,e^{2} c^{2} C \right) x^{9}}{9}+\frac{\left(A \,c^{2} e^{3}+3 B \,c^{2} d \,e^{2}+\left(2 e^{3} a c +3 d^{2} e \,c^{2}\right) C \right) x^{8}}{8}+A \,a^{2} d^{3} x +\frac{\left(3 A \,c^{2} d \,e^{2}+\left(2 e^{3} a c +3 d^{2} e \,c^{2}\right) B +\left(6 d \,e^{2} a c +d^{3} c^{2}\right) C \right) x^{7}}{7}+\frac{\left(\left(2 e^{3} a c +3 d^{2} e \,c^{2}\right) A +\left(6 d \,e^{2} a c +d^{3} c^{2}\right) B +\left(e^{3} a^{2}+6 d^{2} e a c \right) C \right) x^{6}}{6}+\frac{\left(\left(6 d \,e^{2} a c +d^{3} c^{2}\right) A +\left(e^{3} a^{2}+6 d^{2} e a c \right) B +\left(3 d \,e^{2} a^{2}+2 d^{3} a c \right) C \right) x^{5}}{5}+\frac{\left(3 C \,a^{2} d^{2} e +\left(e^{3} a^{2}+6 d^{2} e a c \right) A +\left(3 d \,e^{2} a^{2}+2 d^{3} a c \right) B \right) x^{4}}{4}+\frac{\left(3 B \,a^{2} d^{2} e +C \,a^{2} d^{3}+\left(3 d \,e^{2} a^{2}+2 d^{3} a c \right) A \right) x^{3}}{3}+\frac{\left(3 d^{2} e \,a^{2} A +d^{3} a^{2} B \right) x^{2}}{2}"," ",0,"1/10*c^2*C*e^3*x^10+1/9*(B*c^2*e^3+3*C*c^2*d*e^2)*x^9+1/8*((2*a*c*e^3+3*c^2*d^2*e)*C+3*d*e^2*c^2*B+e^3*c^2*A)*x^8+1/7*((6*a*c*d*e^2+c^2*d^3)*C+(2*a*c*e^3+3*c^2*d^2*e)*B+3*d*e^2*c^2*A)*x^7+1/6*((a^2*e^3+6*a*c*d^2*e)*C+(6*a*c*d*e^2+c^2*d^3)*B+(2*a*c*e^3+3*c^2*d^2*e)*A)*x^6+1/5*((3*a^2*d*e^2+2*a*c*d^3)*C+(a^2*e^3+6*a*c*d^2*e)*B+(6*a*c*d*e^2+c^2*d^3)*A)*x^5+1/4*(3*d^2*e*a^2*C+(3*a^2*d*e^2+2*a*c*d^3)*B+(a^2*e^3+6*a*c*d^2*e)*A)*x^4+1/3*(d^3*a^2*C+3*d^2*e*a^2*B+(3*a^2*d*e^2+2*a*c*d^3)*A)*x^3+1/2*(3*A*a^2*d^2*e+B*a^2*d^3)*x^2+a^2*A*d^3*x","A"
26,1,268,201,0.001000," ","int((e*x+d)^2*(c*x^2+a)^2*(C*x^2+B*x+A),x)","\frac{C \,c^{2} e^{2} x^{9}}{9}+\frac{\left(e^{2} c^{2} B +2 d e \,c^{2} C \right) x^{8}}{8}+\frac{\left(A \,c^{2} e^{2}+2 B \,c^{2} d e +\left(2 e^{2} a c +c^{2} d^{2}\right) C \right) x^{7}}{7}+A \,a^{2} d^{2} x +\frac{\left(2 A \,c^{2} d e +4 C a c d e +\left(2 e^{2} a c +c^{2} d^{2}\right) B \right) x^{6}}{6}+\frac{\left(4 B a c d e +\left(2 e^{2} a c +c^{2} d^{2}\right) A +\left(e^{2} a^{2}+2 d^{2} a c \right) C \right) x^{5}}{5}+\frac{\left(4 A a c d e +2 C \,a^{2} d e +\left(e^{2} a^{2}+2 d^{2} a c \right) B \right) x^{4}}{4}+\frac{\left(2 B \,a^{2} d e +C \,a^{2} d^{2}+\left(e^{2} a^{2}+2 d^{2} a c \right) A \right) x^{3}}{3}+\frac{\left(2 d e \,a^{2} A +d^{2} a^{2} B \right) x^{2}}{2}"," ",0,"1/9*c^2*C*e^2*x^9+1/8*(B*c^2*e^2+2*C*c^2*d*e)*x^8+1/7*((2*a*c*e^2+c^2*d^2)*C+2*d*e*c^2*B+e^2*c^2*A)*x^7+1/6*(4*d*e*a*c*C+(2*a*c*e^2+c^2*d^2)*B+2*d*e*c^2*A)*x^6+1/5*((a^2*e^2+2*a*c*d^2)*C+4*d*e*a*c*B+(2*a*c*e^2+c^2*d^2)*A)*x^5+1/4*(2*d*e*a^2*C+(a^2*e^2+2*a*c*d^2)*B+4*d*e*a*c*A)*x^4+1/3*(d^2*a^2*C+2*d*e*a^2*B+(a^2*e^2+2*a*c*d^2)*A)*x^3+1/2*(2*A*a^2*d*e+B*a^2*d^2)*x^2+a^2*A*d^2*x","A"
27,1,151,114,0.001000," ","int((e*x+d)*(c*x^2+a)^2*(C*x^2+B*x+A),x)","\frac{C \,c^{2} e \,x^{8}}{8}+\frac{\left(c^{2} e B +c^{2} d C \right) x^{7}}{7}+\frac{\left(c^{2} e A +c^{2} d B +2 e a c C \right) x^{6}}{6}+A \,a^{2} d x +\frac{\left(c^{2} d A +2 e a c B +2 d a c C \right) x^{5}}{5}+\frac{\left(2 e a c A +2 d a c B +e \,a^{2} C \right) x^{4}}{4}+\frac{\left(2 d a c A +e \,a^{2} B +d \,a^{2} C \right) x^{3}}{3}+\frac{\left(e \,a^{2} A +d \,a^{2} B \right) x^{2}}{2}"," ",0,"1/8*c^2*C*e*x^8+1/7*(B*c^2*e+C*c^2*d)*x^7+1/6*(A*c^2*e+B*c^2*d+2*C*a*c*e)*x^6+1/5*(A*c^2*d+2*B*a*c*e+2*C*a*c*d)*x^5+1/4*(2*A*a*c*e+2*B*a*c*d+C*a^2*e)*x^4+1/3*(2*A*a*c*d+B*a^2*e+C*a^2*d)*x^3+1/2*(A*a^2*e+B*a^2*d)*x^2+a^2*A*d*x","A"
28,1,75,59,0.001000," ","int((c*x^2+a)^2*(C*x^2+B*x+A),x)","\frac{C \,c^{2} x^{7}}{7}+\frac{B \,c^{2} x^{6}}{6}+\frac{B a c \,x^{4}}{2}+\frac{B \,a^{2} x^{2}}{2}+\frac{\left(A \,c^{2}+2 a c C \right) x^{5}}{5}+A \,a^{2} x +\frac{\left(2 a c A +a^{2} C \right) x^{3}}{3}"," ",0,"1/7*c^2*C*x^7+1/6*c^2*B*x^6+1/5*(A*c^2+2*C*a*c)*x^5+1/2*a*c*B*x^4+1/3*(2*A*a*c+C*a^2)*x^3+1/2*a^2*B*x^2+a^2*A*x","A"
29,1,490,287,0.008000," ","int((c*x^2+a)^2*(C*x^2+B*x+A)/(e*x+d),x)","\frac{C \,c^{2} x^{6}}{6 e}+\frac{B \,c^{2} x^{5}}{5 e}-\frac{C \,c^{2} d \,x^{5}}{5 e^{2}}+\frac{A \,c^{2} x^{4}}{4 e}-\frac{B \,c^{2} d \,x^{4}}{4 e^{2}}+\frac{C a c \,x^{4}}{2 e}+\frac{C \,c^{2} d^{2} x^{4}}{4 e^{3}}-\frac{A \,c^{2} d \,x^{3}}{3 e^{2}}+\frac{2 B a c \,x^{3}}{3 e}+\frac{B \,c^{2} d^{2} x^{3}}{3 e^{3}}-\frac{2 C a c d \,x^{3}}{3 e^{2}}-\frac{C \,c^{2} d^{3} x^{3}}{3 e^{4}}+\frac{A a c \,x^{2}}{e}+\frac{A \,c^{2} d^{2} x^{2}}{2 e^{3}}-\frac{B a c d \,x^{2}}{e^{2}}-\frac{B \,c^{2} d^{3} x^{2}}{2 e^{4}}+\frac{C \,a^{2} x^{2}}{2 e}+\frac{C a c \,d^{2} x^{2}}{e^{3}}+\frac{C \,c^{2} d^{4} x^{2}}{2 e^{5}}+\frac{A \,a^{2} \ln \left(e x +d \right)}{e}+\frac{2 A a c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{2 A a c d x}{e^{2}}+\frac{A \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{A \,c^{2} d^{3} x}{e^{4}}-\frac{B \,a^{2} d \ln \left(e x +d \right)}{e^{2}}+\frac{B \,a^{2} x}{e}-\frac{2 B a c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{2 B a c \,d^{2} x}{e^{3}}-\frac{B \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{B \,c^{2} d^{4} x}{e^{5}}+\frac{C \,a^{2} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{C \,a^{2} d x}{e^{2}}+\frac{2 C a c \,d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{2 C a c \,d^{3} x}{e^{4}}+\frac{C \,c^{2} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{C \,c^{2} d^{5} x}{e^{6}}"," ",0,"1/3/e^3*B*x^3*c^2*d^2-1/3/e^4*C*x^3*c^2*d^3-1/5/e^2*C*x^5*c^2*d-1/4/e^2*B*x^4*c^2*d-1/e^2*ln(e*x+d)*B*a^2*d+1/e^5*B*x*c^2*d^4-1/e^2*C*x*a^2*d-1/e^4*A*x*c^2*d^3+1/e*A*x^2*a*c-1/e^6*C*x*c^2*d^5+1/2/e^3*A*x^2*c^2*d^2-1/2/e^4*B*x^2*c^2*d^3+1/2/e^5*C*x^2*c^2*d^4+1/e^7*ln(e*x+d)*C*c^2*d^6+1/e^5*ln(e*x+d)*A*c^2*d^4+1/6*c^2*C*x^6/e-2/e^4*ln(e*x+d)*B*a*c*d^3+2/e^5*ln(e*x+d)*C*a*c*d^4+1/e^3*C*x^2*a*c*d^2-1/e^2*B*x^2*a*c*d-2/3/e^2*C*x^3*a*c*d-2/e^4*C*x*a*c*d^3-2/e^2*A*x*a*c*d+2/e^3*B*x*a*c*d^2+2/e^3*ln(e*x+d)*A*a*c*d^2+1/2/e*C*x^2*a^2+1/5/e*B*x^5*c^2+1/4/e*A*x^4*c^2+1/e*B*x*a^2+1/e*ln(e*x+d)*A*a^2+2/3/e*B*x^3*a*c-1/3/e^2*A*x^3*c^2*d+1/2/e*C*x^4*a*c+1/4/e^3*C*x^4*c^2*d^2+1/e^3*ln(e*x+d)*C*a^2*d^2-1/e^6*ln(e*x+d)*B*c^2*d^5","A"
30,1,527,284,0.012000," ","int((c*x^2+a)^2*(C*x^2+B*x+A)/(e*x+d)^2,x)","\frac{C \,c^{2} x^{5}}{5 e^{2}}+\frac{B \,c^{2} x^{4}}{4 e^{2}}-\frac{C \,c^{2} d \,x^{4}}{2 e^{3}}+\frac{A \,c^{2} x^{3}}{3 e^{2}}-\frac{2 B \,c^{2} d \,x^{3}}{3 e^{3}}+\frac{2 C a c \,x^{3}}{3 e^{2}}+\frac{C \,c^{2} d^{2} x^{3}}{e^{4}}-\frac{A \,c^{2} d \,x^{2}}{e^{3}}+\frac{B a c \,x^{2}}{e^{2}}+\frac{3 B \,c^{2} d^{2} x^{2}}{2 e^{4}}-\frac{2 C a c d \,x^{2}}{e^{3}}-\frac{2 C \,c^{2} d^{3} x^{2}}{e^{5}}-\frac{A \,a^{2}}{\left(e x +d \right) e}-\frac{2 A a c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{4 A a c d \ln \left(e x +d \right)}{e^{3}}+\frac{2 A a c x}{e^{2}}-\frac{A \,c^{2} d^{4}}{\left(e x +d \right) e^{5}}-\frac{4 A \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{3 A \,c^{2} d^{2} x}{e^{4}}+\frac{B \,a^{2} d}{\left(e x +d \right) e^{2}}+\frac{B \,a^{2} \ln \left(e x +d \right)}{e^{2}}+\frac{2 B a c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{6 B a c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{4 B a c d x}{e^{3}}+\frac{B \,c^{2} d^{5}}{\left(e x +d \right) e^{6}}+\frac{5 B \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{4 B \,c^{2} d^{3} x}{e^{5}}-\frac{C \,a^{2} d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 C \,a^{2} d \ln \left(e x +d \right)}{e^{3}}+\frac{C \,a^{2} x}{e^{2}}-\frac{2 C a c \,d^{4}}{\left(e x +d \right) e^{5}}-\frac{8 C a c \,d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{6 C a c \,d^{2} x}{e^{4}}-\frac{C \,c^{2} d^{6}}{\left(e x +d \right) e^{7}}-\frac{6 C \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{5 C \,c^{2} d^{4} x}{e^{6}}"," ",0,"-2/e^3*C*x^2*a*c*d-4/e^3*d*a*c*B*x+6/e^4*C*a*c*d^2*x-2/e^3/(e*x+d)*A*a*c*d^2+2/e^4/(e*x+d)*B*a*c*d^3-2/e^5/(e*x+d)*C*a*c*d^4-4/e^3*ln(e*x+d)*A*a*c*d+6/e^4*ln(e*x+d)*B*a*c*d^2-8/e^5*ln(e*x+d)*C*a*c*d^3+1/5*c^2*C*x^5/e^2-1/e/(e*x+d)*A*a^2+1/e^2*ln(e*x+d)*B*a^2+1/4/e^2*B*x^4*c^2+1/3/e^2*A*x^3*c^2+1/e^2*a^2*C*x-4/e^5*ln(e*x+d)*A*c^2*d^3+5/e^6*ln(e*x+d)*B*c^2*d^4-4/e^5*B*c^2*d^3*x+5/e^6*C*c^2*d^4*x-1/e^5/(e*x+d)*A*c^2*d^4+1/e^2/(e*x+d)*B*d*a^2+1/e^6/(e*x+d)*B*c^2*d^5-1/e^3/(e*x+d)*C*a^2*d^2-1/e^7/(e*x+d)*C*c^2*d^6+2/3/e^2*C*x^3*a*c+1/e^4*C*x^3*c^2*d^2-1/e^3*A*x^2*c^2*d+1/e^2*B*x^2*a*c+3/2/e^4*B*x^2*c^2*d^2-2/e^5*C*x^2*c^2*d^3+2/e^2*A*a*c*x+3/e^4*A*c^2*d^2*x-1/2/e^3*C*x^4*c^2*d-2/3/e^3*B*x^3*c^2*d-2/e^3*ln(e*x+d)*C*a^2*d-6/e^7*ln(e*x+d)*C*c^2*d^5","A"
31,1,563,287,0.014000," ","int((c*x^2+a)^2*(C*x^2+B*x+A)/(e*x+d)^3,x)","\frac{C \,c^{2} x^{4}}{4 e^{3}}+\frac{B \,c^{2} x^{3}}{3 e^{3}}-\frac{C \,c^{2} d \,x^{3}}{e^{4}}-\frac{A \,a^{2}}{2 \left(e x +d \right)^{2} e}-\frac{A a c \,d^{2}}{\left(e x +d \right)^{2} e^{3}}-\frac{A \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{A \,c^{2} x^{2}}{2 e^{3}}+\frac{B \,a^{2} d}{2 \left(e x +d \right)^{2} e^{2}}+\frac{B a c \,d^{3}}{\left(e x +d \right)^{2} e^{4}}+\frac{B \,c^{2} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{3 B \,c^{2} d \,x^{2}}{2 e^{4}}-\frac{C \,a^{2} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}-\frac{C a c \,d^{4}}{\left(e x +d \right)^{2} e^{5}}+\frac{C a c \,x^{2}}{e^{3}}-\frac{C \,c^{2} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{3 C \,c^{2} d^{2} x^{2}}{e^{5}}+\frac{4 A a c d}{\left(e x +d \right) e^{3}}+\frac{2 A a c \ln \left(e x +d \right)}{e^{3}}+\frac{4 A \,c^{2} d^{3}}{\left(e x +d \right) e^{5}}+\frac{6 A \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{3 A \,c^{2} d x}{e^{4}}-\frac{B \,a^{2}}{\left(e x +d \right) e^{2}}-\frac{6 B a c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{6 B a c d \ln \left(e x +d \right)}{e^{4}}+\frac{2 B a c x}{e^{3}}-\frac{5 B \,c^{2} d^{4}}{\left(e x +d \right) e^{6}}-\frac{10 B \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{6 B \,c^{2} d^{2} x}{e^{5}}+\frac{2 C \,a^{2} d}{\left(e x +d \right) e^{3}}+\frac{C \,a^{2} \ln \left(e x +d \right)}{e^{3}}+\frac{8 C a c \,d^{3}}{\left(e x +d \right) e^{5}}+\frac{12 C a c \,d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{6 C a c d x}{e^{4}}+\frac{6 C \,c^{2} d^{5}}{\left(e x +d \right) e^{7}}+\frac{15 C \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{10 C \,c^{2} d^{3} x}{e^{6}}"," ",0,"-6*c/e^4*C*x*a*d+4/e^3/(e*x+d)*A*a*c*d-6/e^4/(e*x+d)*B*a*c*d^2+8/e^5/(e*x+d)*C*a*c*d^3-6/e^4*ln(e*x+d)*B*a*c*d+1/4*c^2*C*x^4/e^3+12/e^5*ln(e*x+d)*C*a*c*d^2-1/e^3/(e*x+d)^2*A*d^2*a*c+1/e^4/(e*x+d)^2*B*a*c*d^3-1/e^5/(e*x+d)^2*C*a*c*d^4+1/e^3*ln(e*x+d)*a^2*C-1/2/e/(e*x+d)^2*A*a^2+1/3*c^2/e^3*B*x^3+1/2*c^2/e^3*A*x^2-1/e^2/(e*x+d)*B*a^2-c^2/e^4*C*x^3*d-3/2*c^2/e^4*B*x^2*d-10/e^6*ln(e*x+d)*B*c^2*d^3+15/e^7*ln(e*x+d)*C*c^2*d^4-1/2/e^5/(e*x+d)^2*A*c^2*d^4+1/2/e^2/(e*x+d)^2*B*d*a^2+1/2/e^6/(e*x+d)^2*B*c^2*d^5-1/2/e^3/(e*x+d)^2*C*d^2*a^2-1/2/e^7/(e*x+d)^2*C*c^2*d^6+c/e^3*C*x^2*a+3*c^2/e^5*C*x^2*d^2-3*c^2/e^4*A*x*d+2*c/e^3*B*x*a+6*c^2/e^5*B*x*d^2-10*c^2/e^6*C*x*d^3+4/e^5/(e*x+d)*A*c^2*d^3-5/e^6/(e*x+d)*B*c^2*d^4+2/e^3/(e*x+d)*C*a^2*d+6/e^7/(e*x+d)*C*c^2*d^5+2/e^3*ln(e*x+d)*A*a*c+6/e^5*ln(e*x+d)*A*c^2*d^2","A"
32,1,553,382,0.001000," ","int((e*x+d)^3*(c*x^2+a)^3*(C*x^2+B*x+A),x)","\frac{C \,c^{3} e^{3} x^{12}}{12}+\frac{\left(e^{3} c^{3} B +3 d \,e^{2} c^{3} C \right) x^{11}}{11}+\frac{\left(A \,c^{3} e^{3}+3 B \,c^{3} d \,e^{2}+\left(3 e^{3} a \,c^{2}+3 d^{2} e \,c^{3}\right) C \right) x^{10}}{10}+\frac{\left(3 A \,c^{3} d \,e^{2}+\left(3 e^{3} a \,c^{2}+3 d^{2} e \,c^{3}\right) B +\left(9 d \,e^{2} a \,c^{2}+d^{3} c^{3}\right) C \right) x^{9}}{9}+A \,a^{3} d^{3} x +\frac{\left(\left(3 e^{3} a \,c^{2}+3 d^{2} e \,c^{3}\right) A +\left(9 d \,e^{2} a \,c^{2}+d^{3} c^{3}\right) B +\left(3 e^{3} a^{2} c +9 d^{2} e a \,c^{2}\right) C \right) x^{8}}{8}+\frac{\left(\left(9 d \,e^{2} a \,c^{2}+d^{3} c^{3}\right) A +\left(3 e^{3} a^{2} c +9 d^{2} e a \,c^{2}\right) B +\left(9 d \,e^{2} a^{2} c +3 d^{3} a \,c^{2}\right) C \right) x^{7}}{7}+\frac{\left(\left(3 e^{3} a^{2} c +9 d^{2} e a \,c^{2}\right) A +\left(9 d \,e^{2} a^{2} c +3 d^{3} a \,c^{2}\right) B +\left(e^{3} a^{3}+9 d^{2} e \,a^{2} c \right) C \right) x^{6}}{6}+\frac{\left(\left(9 d \,e^{2} a^{2} c +3 d^{3} a \,c^{2}\right) A +\left(e^{3} a^{3}+9 d^{2} e \,a^{2} c \right) B +\left(3 d \,e^{2} a^{3}+3 d^{3} a^{2} c \right) C \right) x^{5}}{5}+\frac{\left(3 C \,a^{3} d^{2} e +\left(e^{3} a^{3}+9 d^{2} e \,a^{2} c \right) A +\left(3 d \,e^{2} a^{3}+3 d^{3} a^{2} c \right) B \right) x^{4}}{4}+\frac{\left(3 B \,a^{3} d^{2} e +C \,a^{3} d^{3}+\left(3 d \,e^{2} a^{3}+3 d^{3} a^{2} c \right) A \right) x^{3}}{3}+\frac{\left(3 d^{2} e \,a^{3} A +d^{3} a^{3} B \right) x^{2}}{2}"," ",0,"1/12*c^3*C*e^3*x^12+1/11*(B*c^3*e^3+3*C*c^3*d*e^2)*x^11+1/10*((3*a*c^2*e^3+3*c^3*d^2*e)*C+3*d*e^2*c^3*B+e^3*c^3*A)*x^10+1/9*((9*a*c^2*d*e^2+c^3*d^3)*C+(3*a*c^2*e^3+3*c^3*d^2*e)*B+3*d*e^2*c^3*A)*x^9+1/8*((3*a^2*c*e^3+9*a*c^2*d^2*e)*C+(9*a*c^2*d*e^2+c^3*d^3)*B+(3*a*c^2*e^3+3*c^3*d^2*e)*A)*x^8+1/7*((9*a^2*c*d*e^2+3*a*c^2*d^3)*C+(3*a^2*c*e^3+9*a*c^2*d^2*e)*B+(9*a*c^2*d*e^2+c^3*d^3)*A)*x^7+1/6*((a^3*e^3+9*a^2*c*d^2*e)*C+(9*a^2*c*d*e^2+3*a*c^2*d^3)*B+(3*a^2*c*e^3+9*a*c^2*d^2*e)*A)*x^6+1/5*((3*a^3*d*e^2+3*a^2*c*d^3)*C+(a^3*e^3+9*a^2*c*d^2*e)*B+(9*a^2*c*d*e^2+3*a*c^2*d^3)*A)*x^5+1/4*(3*d^2*e*a^3*C+(3*a^3*d*e^2+3*a^2*c*d^3)*B+(a^3*e^3+9*a^2*c*d^2*e)*A)*x^4+1/3*(d^3*a^3*C+3*d^2*e*a^3*B+(3*a^3*d*e^2+3*a^2*c*d^3)*A)*x^3+1/2*(3*A*a^3*d^2*e+B*a^3*d^3)*x^2+a^3*A*d^3*x","A"
33,1,388,269,0.001000," ","int((e*x+d)^2*(c*x^2+a)^3*(C*x^2+B*x+A),x)","\frac{C \,c^{3} e^{2} x^{11}}{11}+\frac{\left(e^{2} c^{3} B +2 d e \,c^{3} C \right) x^{10}}{10}+\frac{\left(A \,c^{3} e^{2}+2 B \,c^{3} d e +\left(3 e^{2} a \,c^{2}+d^{2} c^{3}\right) C \right) x^{9}}{9}+\frac{\left(2 A \,c^{3} d e +6 C a \,c^{2} d e +\left(3 e^{2} a \,c^{2}+d^{2} c^{3}\right) B \right) x^{8}}{8}+A \,a^{3} d^{2} x +\frac{\left(6 B a \,c^{2} d e +\left(3 e^{2} a \,c^{2}+d^{2} c^{3}\right) A +\left(3 e^{2} a^{2} c +3 d^{2} a \,c^{2}\right) C \right) x^{7}}{7}+\frac{\left(6 A a \,c^{2} d e +6 C \,a^{2} c d e +\left(3 e^{2} a^{2} c +3 d^{2} a \,c^{2}\right) B \right) x^{6}}{6}+\frac{\left(6 B \,a^{2} c d e +\left(3 e^{2} a^{2} c +3 d^{2} a \,c^{2}\right) A +\left(e^{2} a^{3}+3 d^{2} a^{2} c \right) C \right) x^{5}}{5}+\frac{\left(6 A \,a^{2} c d e +2 C \,a^{3} d e +\left(e^{2} a^{3}+3 d^{2} a^{2} c \right) B \right) x^{4}}{4}+\frac{\left(2 B \,a^{3} d e +C \,a^{3} d^{2}+\left(e^{2} a^{3}+3 d^{2} a^{2} c \right) A \right) x^{3}}{3}+\frac{\left(2 d e \,a^{3} A +d^{2} a^{3} B \right) x^{2}}{2}"," ",0,"1/11*c^3*C*e^2*x^11+1/10*(B*c^3*e^2+2*C*c^3*d*e)*x^10+1/9*((3*a*c^2*e^2+c^3*d^2)*C+2*d*e*c^3*B+e^2*c^3*A)*x^9+1/8*(6*d*e*a*c^2*C+(3*a*c^2*e^2+c^3*d^2)*B+2*d*e*c^3*A)*x^8+1/7*((3*a^2*c*e^2+3*a*c^2*d^2)*C+6*d*e*a*c^2*B+(3*a*c^2*e^2+c^3*d^2)*A)*x^7+1/6*(6*d*e*a^2*c*C+(3*a^2*c*e^2+3*a*c^2*d^2)*B+6*d*e*a*c^2*A)*x^6+1/5*((a^3*e^2+3*a^2*c*d^2)*C+6*d*e*a^2*c*B+(3*a^2*c*e^2+3*a*c^2*d^2)*A)*x^5+1/4*(2*d*e*a^3*C+(a^3*e^2+3*a^2*c*d^2)*B+6*d*e*a^2*c*A)*x^4+1/3*(d^2*a^3*C+2*d*e*a^3*B+(a^3*e^2+3*a^2*c*d^2)*A)*x^3+1/2*(2*A*a^3*d*e+B*a^3*d^2)*x^2+a^3*A*d^2*x","A"
34,1,223,151,0.000000," ","int((e*x+d)*(c*x^2+a)^3*(C*x^2+B*x+A),x)","\frac{C \,c^{3} e \,x^{10}}{10}+\frac{\left(e \,c^{3} B +c^{3} d C \right) x^{9}}{9}+\frac{\left(e \,c^{3} A +c^{3} d B +3 e a \,c^{2} C \right) x^{8}}{8}+\frac{\left(c^{3} d A +3 e a \,c^{2} B +3 d a \,c^{2} C \right) x^{7}}{7}+A \,a^{3} d x +\frac{\left(3 e a \,c^{2} A +3 d a \,c^{2} B +3 e \,a^{2} c C \right) x^{6}}{6}+\frac{\left(3 d a \,c^{2} A +3 e \,a^{2} c B +3 d \,a^{2} c C \right) x^{5}}{5}+\frac{\left(3 e \,a^{2} c A +3 d \,a^{2} c B +e \,a^{3} C \right) x^{4}}{4}+\frac{\left(3 d \,a^{2} c A +e \,a^{3} B +d \,a^{3} C \right) x^{3}}{3}+\frac{\left(e \,a^{3} A +d \,a^{3} B \right) x^{2}}{2}"," ",0,"1/10*c^3*C*e*x^10+1/9*(B*c^3*e+C*c^3*d)*x^9+1/8*(A*c^3*e+B*c^3*d+3*C*a*c^2*e)*x^8+1/7*(A*c^3*d+3*B*a*c^2*e+3*C*a*c^2*d)*x^7+1/6*(3*A*a*c^2*e+3*B*a*c^2*d+3*C*a^2*c*e)*x^6+1/5*(3*A*a*c^2*d+3*B*a^2*c*e+3*C*a^2*c*d)*x^5+1/4*(3*A*a^2*c*e+3*B*a^2*c*d+C*a^3*e)*x^4+1/3*(3*A*a^2*c*d+B*a^3*e+C*a^3*d)*x^3+1/2*(A*a^3*e+B*a^3*d)*x^2+a^3*A*d*x","A"
35,1,111,77,0.001000," ","int((c*x^2+a)^3*(C*x^2+B*x+A),x)","\frac{C \,c^{3} x^{9}}{9}+\frac{B \,c^{3} x^{8}}{8}+\frac{B a \,c^{2} x^{6}}{2}+\frac{3 B \,a^{2} c \,x^{4}}{4}+\frac{\left(c^{3} A +3 a \,c^{2} C \right) x^{7}}{7}+\frac{B \,a^{3} x^{2}}{2}+A \,a^{3} x +\frac{\left(3 a \,c^{2} A +3 a^{2} c C \right) x^{5}}{5}+\frac{\left(3 a^{2} c A +a^{3} C \right) x^{3}}{3}"," ",0,"1/9*c^3*C*x^9+1/8*c^3*B*x^8+1/7*(A*c^3+3*C*a*c^2)*x^7+1/2*a*c^2*B*x^6+1/5*(3*A*a*c^2+3*C*a^2*c)*x^5+3/4*a^2*c*B*x^4+1/3*(3*A*a^2*c+C*a^3)*x^3+1/2*a^3*B*x^2+a^3*A*x","A"
36,1,880,476,0.009000," ","int((c*x^2+a)^3*(C*x^2+B*x+A)/(e*x+d),x)","\frac{C \,c^{3} x^{8}}{8 e}+\frac{B \,c^{3} x^{7}}{7 e}-\frac{C \,c^{3} d \,x^{7}}{7 e^{2}}+\frac{A \,c^{3} x^{6}}{6 e}-\frac{B \,c^{3} d \,x^{6}}{6 e^{2}}+\frac{C a \,c^{2} x^{6}}{2 e}+\frac{C \,c^{3} d^{2} x^{6}}{6 e^{3}}-\frac{A \,c^{3} d \,x^{5}}{5 e^{2}}+\frac{3 B a \,c^{2} x^{5}}{5 e}+\frac{B \,c^{3} d^{2} x^{5}}{5 e^{3}}-\frac{3 C a \,c^{2} d \,x^{5}}{5 e^{2}}-\frac{C \,c^{3} d^{3} x^{5}}{5 e^{4}}+\frac{3 A a \,c^{2} x^{4}}{4 e}+\frac{A \,c^{3} d^{2} x^{4}}{4 e^{3}}-\frac{3 B a \,c^{2} d \,x^{4}}{4 e^{2}}-\frac{B \,c^{3} d^{3} x^{4}}{4 e^{4}}+\frac{3 C \,a^{2} c \,x^{4}}{4 e}+\frac{3 C a \,c^{2} d^{2} x^{4}}{4 e^{3}}+\frac{C \,c^{3} d^{4} x^{4}}{4 e^{5}}-\frac{A a \,c^{2} d \,x^{3}}{e^{2}}-\frac{A \,c^{3} d^{3} x^{3}}{3 e^{4}}+\frac{B \,a^{2} c \,x^{3}}{e}+\frac{B a \,c^{2} d^{2} x^{3}}{e^{3}}+\frac{B \,c^{3} d^{4} x^{3}}{3 e^{5}}-\frac{C \,a^{2} c d \,x^{3}}{e^{2}}-\frac{C a \,c^{2} d^{3} x^{3}}{e^{4}}-\frac{C \,c^{3} d^{5} x^{3}}{3 e^{6}}+\frac{3 A \,a^{2} c \,x^{2}}{2 e}+\frac{3 A a \,c^{2} d^{2} x^{2}}{2 e^{3}}+\frac{A \,c^{3} d^{4} x^{2}}{2 e^{5}}-\frac{3 B \,a^{2} c d \,x^{2}}{2 e^{2}}-\frac{3 B a \,c^{2} d^{3} x^{2}}{2 e^{4}}-\frac{B \,c^{3} d^{5} x^{2}}{2 e^{6}}+\frac{C \,a^{3} x^{2}}{2 e}+\frac{3 C \,a^{2} c \,d^{2} x^{2}}{2 e^{3}}+\frac{3 C a \,c^{2} d^{4} x^{2}}{2 e^{5}}+\frac{C \,c^{3} d^{6} x^{2}}{2 e^{7}}+\frac{A \,a^{3} \ln \left(e x +d \right)}{e}+\frac{3 A \,a^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{3 A \,a^{2} c d x}{e^{2}}+\frac{3 A a \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{3 A a \,c^{2} d^{3} x}{e^{4}}+\frac{A \,c^{3} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{A \,c^{3} d^{5} x}{e^{6}}-\frac{B \,a^{3} d \ln \left(e x +d \right)}{e^{2}}+\frac{B \,a^{3} x}{e}-\frac{3 B \,a^{2} c \,d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{3 B \,a^{2} c \,d^{2} x}{e^{3}}-\frac{3 B a \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{6}}+\frac{3 B a \,c^{2} d^{4} x}{e^{5}}-\frac{B \,c^{3} d^{7} \ln \left(e x +d \right)}{e^{8}}+\frac{B \,c^{3} d^{6} x}{e^{7}}+\frac{C \,a^{3} d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{C \,a^{3} d x}{e^{2}}+\frac{3 C \,a^{2} c \,d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{3 C \,a^{2} c \,d^{3} x}{e^{4}}+\frac{3 C a \,c^{2} d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{3 C a \,c^{2} d^{5} x}{e^{6}}+\frac{C \,c^{3} d^{8} \ln \left(e x +d \right)}{e^{9}}-\frac{C \,c^{3} d^{7} x}{e^{8}}"," ",0,"3/e^3*ln(e*x+d)*A*a^2*c*d^2+3/e^5*ln(e*x+d)*A*a*c^2*d^4-3/e^4*ln(e*x+d)*B*a^2*c*d^3-3/e^4*A*x*a*c^2*d^3-3/e^6*ln(e*x+d)*B*a*c^2*d^5+3/e^5*ln(e*x+d)*C*a^2*c*d^4+3/e^7*ln(e*x+d)*C*a*c^2*d^6+3/e^3*B*x*a^2*c*d^2+3/e^5*B*x*a*c^2*d^4-3/e^2*A*x*a^2*c*d-3/e^4*C*x*a^2*c*d^3-3/e^6*C*x*a*c^2*d^5-3/5/e^2*C*x^5*a*c^2*d-3/4/e^2*B*x^4*a*c^2*d+3/4/e^3*C*x^4*a*c^2*d^2-1/e^2*A*x^3*a*c^2*d-1/e^2*C*x^3*a^2*c*d-1/e^4*C*x^3*a*c^2*d^3+3/2/e^3*A*x^2*a*c^2*d^2-3/2/e^2*B*x^2*a^2*c*d-3/2/e^4*B*x^2*a*c^2*d^3+3/2/e^3*C*x^2*a^2*c*d^2+3/2/e^5*C*x^2*a*c^2*d^4+1/e^3*B*x^3*a*c^2*d^2+1/8/e*C*c^3*x^8+1/7/e*B*x^7*c^3+1/6/e*A*x^6*c^3+1/e*B*x*a^3+1/e*ln(e*x+d)*A*a^3+1/2/e*C*x^2*a^3+1/2/e*C*x^6*a*c^2+1/4/e^5*C*x^4*c^3*d^4-1/2/e^6*B*x^2*c^3*d^5+1/2/e^7*C*x^2*c^3*d^6+1/e*B*x^3*a^2*c+3/5/e*B*x^5*a*c^2+1/5/e^3*B*x^5*c^3*d^2-1/5/e^4*C*x^5*c^3*d^3+3/4/e*A*x^4*a*c^2+1/4/e^3*A*x^4*c^3*d^2-1/4/e^4*B*x^4*c^3*d^3+3/4/e*C*x^4*a^2*c+1/e^7*ln(e*x+d)*A*c^3*d^6-1/e^2*ln(e*x+d)*B*a^3*d-1/e^8*ln(e*x+d)*B*c^3*d^7+1/e^3*ln(e*x+d)*C*a^3*d^2+1/e^9*ln(e*x+d)*C*c^3*d^8-1/e^6*A*x*c^3*d^5+1/e^7*B*x*c^3*d^6-1/6/e^2*B*x^6*c^3*d+1/6/e^3*C*x^6*c^3*d^2-1/5/e^2*A*x^5*c^3*d-1/7/e^2*C*x^7*c^3*d-1/3/e^4*A*x^3*c^3*d^3+1/3/e^5*B*x^3*c^3*d^4-1/3/e^6*C*x^3*c^3*d^5+3/2/e*A*x^2*a^2*c+1/2/e^5*A*x^2*c^3*d^4-1/e^2*C*x*a^3*d-1/e^8*C*x*c^3*d^7","A"
37,1,928,474,0.017000," ","int((c*x^2+a)^3*(C*x^2+B*x+A)/(e*x+d)^2,x)","\frac{C \,c^{3} x^{7}}{7 e^{2}}+\frac{B \,c^{3} x^{6}}{6 e^{2}}-\frac{C \,c^{3} d \,x^{6}}{3 e^{3}}+\frac{A \,c^{3} x^{5}}{5 e^{2}}-\frac{2 B \,c^{3} d \,x^{5}}{5 e^{3}}+\frac{3 C a \,c^{2} x^{5}}{5 e^{2}}+\frac{3 C \,c^{3} d^{2} x^{5}}{5 e^{4}}-\frac{A \,c^{3} d \,x^{4}}{2 e^{3}}+\frac{3 B a \,c^{2} x^{4}}{4 e^{2}}+\frac{3 B \,c^{3} d^{2} x^{4}}{4 e^{4}}-\frac{3 C a \,c^{2} d \,x^{4}}{2 e^{3}}-\frac{C \,c^{3} d^{3} x^{4}}{e^{5}}+\frac{A a \,c^{2} x^{3}}{e^{2}}+\frac{A \,c^{3} d^{2} x^{3}}{e^{4}}-\frac{2 B a \,c^{2} d \,x^{3}}{e^{3}}-\frac{4 B \,c^{3} d^{3} x^{3}}{3 e^{5}}+\frac{C \,a^{2} c \,x^{3}}{e^{2}}+\frac{3 C a \,c^{2} d^{2} x^{3}}{e^{4}}+\frac{5 C \,c^{3} d^{4} x^{3}}{3 e^{6}}-\frac{3 A a \,c^{2} d \,x^{2}}{e^{3}}-\frac{2 A \,c^{3} d^{3} x^{2}}{e^{5}}+\frac{3 B \,a^{2} c \,x^{2}}{2 e^{2}}+\frac{9 B a \,c^{2} d^{2} x^{2}}{2 e^{4}}+\frac{5 B \,c^{3} d^{4} x^{2}}{2 e^{6}}-\frac{3 C \,a^{2} c d \,x^{2}}{e^{3}}-\frac{6 C a \,c^{2} d^{3} x^{2}}{e^{5}}-\frac{3 C \,c^{3} d^{5} x^{2}}{e^{7}}-\frac{A \,a^{3}}{\left(e x +d \right) e}-\frac{3 A \,a^{2} c \,d^{2}}{\left(e x +d \right) e^{3}}-\frac{6 A \,a^{2} c d \ln \left(e x +d \right)}{e^{3}}+\frac{3 A \,a^{2} c x}{e^{2}}-\frac{3 A a \,c^{2} d^{4}}{\left(e x +d \right) e^{5}}-\frac{12 A a \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{9 A a \,c^{2} d^{2} x}{e^{4}}-\frac{A \,c^{3} d^{6}}{\left(e x +d \right) e^{7}}-\frac{6 A \,c^{3} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{5 A \,c^{3} d^{4} x}{e^{6}}+\frac{B \,a^{3} d}{\left(e x +d \right) e^{2}}+\frac{B \,a^{3} \ln \left(e x +d \right)}{e^{2}}+\frac{3 B \,a^{2} c \,d^{3}}{\left(e x +d \right) e^{4}}+\frac{9 B \,a^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{4}}-\frac{6 B \,a^{2} c d x}{e^{3}}+\frac{3 B a \,c^{2} d^{5}}{\left(e x +d \right) e^{6}}+\frac{15 B a \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{12 B a \,c^{2} d^{3} x}{e^{5}}+\frac{B \,c^{3} d^{7}}{\left(e x +d \right) e^{8}}+\frac{7 B \,c^{3} d^{6} \ln \left(e x +d \right)}{e^{8}}-\frac{6 B \,c^{3} d^{5} x}{e^{7}}-\frac{C \,a^{3} d^{2}}{\left(e x +d \right) e^{3}}-\frac{2 C \,a^{3} d \ln \left(e x +d \right)}{e^{3}}+\frac{C \,a^{3} x}{e^{2}}-\frac{3 C \,a^{2} c \,d^{4}}{\left(e x +d \right) e^{5}}-\frac{12 C \,a^{2} c \,d^{3} \ln \left(e x +d \right)}{e^{5}}+\frac{9 C \,a^{2} c \,d^{2} x}{e^{4}}-\frac{3 C a \,c^{2} d^{6}}{\left(e x +d \right) e^{7}}-\frac{18 C a \,c^{2} d^{5} \ln \left(e x +d \right)}{e^{7}}+\frac{15 C a \,c^{2} d^{4} x}{e^{6}}-\frac{C \,c^{3} d^{8}}{\left(e x +d \right) e^{9}}-\frac{8 C \,c^{3} d^{7} \ln \left(e x +d \right)}{e^{9}}+\frac{7 C \,c^{3} d^{6} x}{e^{8}}"," ",0,"1/7*c^3*C*x^7/e^2-1/e/(e*x+d)*A*a^3+1/e^2*ln(e*x+d)*B*a^3+1/e^2*a^3*C*x+1/5/e^2*A*x^5*c^3+1/6/e^2*B*x^6*c^3-3/e^3*A*x^2*a*c^2*d+9/2/e^4*B*x^2*a*c^2*d^2-3/e^3*C*x^2*a^2*c*d-3/e^3/(e*x+d)*A*a^2*c*d^2-3/e^5/(e*x+d)*A*a*c^2*d^4+3/e^4/(e*x+d)*B*a^2*c*d^3+3/e^6/(e*x+d)*B*a*c^2*d^5-3/e^5/(e*x+d)*C*a^2*c*d^4-3/e^7/(e*x+d)*C*a*c^2*d^6-6/e^3*ln(e*x+d)*A*a^2*c*d-12/e^5*ln(e*x+d)*A*a*c^2*d^3+9/e^4*ln(e*x+d)*B*a^2*c*d^2+15/e^6*ln(e*x+d)*B*a*c^2*d^4-12/e^5*ln(e*x+d)*C*a^2*c*d^3-18/e^7*ln(e*x+d)*C*a*c^2*d^5-3/2/e^3*C*x^4*a*c^2*d-6/e^5*C*x^2*a*c^2*d^3+9/e^4*A*a*c^2*d^2*x-6/e^3*d*a^2*c*B*x-12/e^5*B*a*c^2*d^3*x+9/e^4*C*a^2*c*d^2*x+15/e^6*C*a*c^2*d^4*x-2/e^3*B*x^3*a*c^2*d+3/e^4*C*x^3*a*c^2*d^2+3/5/e^2*C*x^5*a*c^2+3/5/e^4*C*x^5*c^3*d^2-1/2/e^3*A*x^4*c^3*d+3/4/e^2*B*x^4*a*c^2+3/4/e^4*B*x^4*c^3*d^2-1/e^5*C*x^4*c^3*d^3-4/3/e^5*B*x^3*c^3*d^3+5/3/e^6*C*x^3*c^3*d^4-2/e^5*A*x^2*c^3*d^3+3/2/e^2*B*x^2*a^2*c+5/2/e^6*B*x^2*c^3*d^4-3/e^7*C*x^2*c^3*d^5+3/e^2*A*a^2*c*x+5/e^6*A*c^3*d^4*x-6/e^7*B*c^3*d^5*x-1/3/e^3*C*x^6*c^3*d+1/e^2*C*x^3*a^2*c+1/e^2*A*x^3*a*c^2+1/e^4*A*x^3*c^3*d^2-1/e^7/(e*x+d)*A*c^3*d^6+1/e^2/(e*x+d)*B*d*a^3+7/e^8*C*c^3*d^6*x-2/5/e^3*B*x^5*c^3*d+1/e^8/(e*x+d)*B*c^3*d^7-1/e^3/(e*x+d)*C*a^3*d^2-1/e^9/(e*x+d)*C*c^3*d^8-6/e^7*ln(e*x+d)*A*c^3*d^5+7/e^8*ln(e*x+d)*B*c^3*d^6-2/e^3*ln(e*x+d)*C*a^3*d-8/e^9*ln(e*x+d)*C*c^3*d^7","A"
38,1,978,454,0.017000," ","int((c*x^2+a)^3*(C*x^2+B*x+A)/(e*x+d)^3,x)","\frac{C \,c^{3} x^{6}}{6 e^{3}}+\frac{B \,c^{3} x^{5}}{5 e^{3}}-\frac{3 C \,c^{3} d \,x^{5}}{5 e^{4}}+\frac{A \,c^{3} x^{4}}{4 e^{3}}-\frac{3 B \,c^{3} d \,x^{4}}{4 e^{4}}+\frac{3 C a \,c^{2} x^{4}}{4 e^{3}}+\frac{3 C \,c^{3} d^{2} x^{4}}{2 e^{5}}-\frac{A \,c^{3} d \,x^{3}}{e^{4}}+\frac{B a \,c^{2} x^{3}}{e^{3}}+\frac{2 B \,c^{3} d^{2} x^{3}}{e^{5}}-\frac{3 C a \,c^{2} d \,x^{3}}{e^{4}}-\frac{10 C \,c^{3} d^{3} x^{3}}{3 e^{6}}-\frac{A \,a^{3}}{2 \left(e x +d \right)^{2} e}-\frac{3 A \,a^{2} c \,d^{2}}{2 \left(e x +d \right)^{2} e^{3}}-\frac{3 A a \,c^{2} d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{3 A a \,c^{2} x^{2}}{2 e^{3}}-\frac{A \,c^{3} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{3 A \,c^{3} d^{2} x^{2}}{e^{5}}+\frac{B \,a^{3} d}{2 \left(e x +d \right)^{2} e^{2}}+\frac{3 B \,a^{2} c \,d^{3}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{3 B a \,c^{2} d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{9 B a \,c^{2} d \,x^{2}}{2 e^{4}}+\frac{B \,c^{3} d^{7}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{5 B \,c^{3} d^{3} x^{2}}{e^{6}}-\frac{C \,a^{3} d^{2}}{2 \left(e x +d \right)^{2} e^{3}}-\frac{3 C \,a^{2} c \,d^{4}}{2 \left(e x +d \right)^{2} e^{5}}+\frac{3 C \,a^{2} c \,x^{2}}{2 e^{3}}-\frac{3 C a \,c^{2} d^{6}}{2 \left(e x +d \right)^{2} e^{7}}+\frac{9 C a \,c^{2} d^{2} x^{2}}{e^{5}}-\frac{C \,c^{3} d^{8}}{2 \left(e x +d \right)^{2} e^{9}}+\frac{15 C \,c^{3} d^{4} x^{2}}{2 e^{7}}+\frac{6 A \,a^{2} c d}{\left(e x +d \right) e^{3}}+\frac{3 A \,a^{2} c \ln \left(e x +d \right)}{e^{3}}+\frac{12 A a \,c^{2} d^{3}}{\left(e x +d \right) e^{5}}+\frac{18 A a \,c^{2} d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{9 A a \,c^{2} d x}{e^{4}}+\frac{6 A \,c^{3} d^{5}}{\left(e x +d \right) e^{7}}+\frac{15 A \,c^{3} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{10 A \,c^{3} d^{3} x}{e^{6}}-\frac{B \,a^{3}}{\left(e x +d \right) e^{2}}-\frac{9 B \,a^{2} c \,d^{2}}{\left(e x +d \right) e^{4}}-\frac{9 B \,a^{2} c d \ln \left(e x +d \right)}{e^{4}}+\frac{3 B \,a^{2} c x}{e^{3}}-\frac{15 B a \,c^{2} d^{4}}{\left(e x +d \right) e^{6}}-\frac{30 B a \,c^{2} d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{18 B a \,c^{2} d^{2} x}{e^{5}}-\frac{7 B \,c^{3} d^{6}}{\left(e x +d \right) e^{8}}-\frac{21 B \,c^{3} d^{5} \ln \left(e x +d \right)}{e^{8}}+\frac{15 B \,c^{3} d^{4} x}{e^{7}}+\frac{2 C \,a^{3} d}{\left(e x +d \right) e^{3}}+\frac{C \,a^{3} \ln \left(e x +d \right)}{e^{3}}+\frac{12 C \,a^{2} c \,d^{3}}{\left(e x +d \right) e^{5}}+\frac{18 C \,a^{2} c \,d^{2} \ln \left(e x +d \right)}{e^{5}}-\frac{9 C \,a^{2} c d x}{e^{4}}+\frac{18 C a \,c^{2} d^{5}}{\left(e x +d \right) e^{7}}+\frac{45 C a \,c^{2} d^{4} \ln \left(e x +d \right)}{e^{7}}-\frac{30 C a \,c^{2} d^{3} x}{e^{6}}+\frac{8 C \,c^{3} d^{7}}{\left(e x +d \right) e^{9}}+\frac{28 C \,c^{3} d^{6} \ln \left(e x +d \right)}{e^{9}}-\frac{21 C \,c^{3} d^{5} x}{e^{8}}"," ",0,"1/6*c^3*C*x^6/e^3-1/e^2/(e*x+d)*B*a^3+1/e^3*ln(e*x+d)*a^3*C-1/2/e/(e*x+d)^2*A*a^3+1/5*c^3/e^3*B*x^5+1/4*c^3/e^3*A*x^4-3/2/e^7/(e*x+d)^2*C*a*c^2*d^6-9*c^2/e^4*A*x*a*d+18*c^2/e^5*B*x*a*d^2-30*c^2/e^6*C*x*a*d^3-3*c^2/e^4*C*x^3*a*d-9/2*c^2/e^4*B*x^2*a*d-9*c/e^4*C*x*a^2*d+9*c^2/e^5*C*x^2*a*d^2+6/e^3/(e*x+d)*A*a^2*c*d+12/e^5/(e*x+d)*A*a*c^2*d^3-9/e^4/(e*x+d)*B*a^2*c*d^2-15/e^6/(e*x+d)*B*a*c^2*d^4+12/e^5/(e*x+d)*C*a^2*c*d^3+18/e^7/(e*x+d)*C*a*c^2*d^5+18/e^5*ln(e*x+d)*A*a*c^2*d^2-9/e^4*ln(e*x+d)*B*a^2*c*d-30/e^6*ln(e*x+d)*B*a*c^2*d^3+18/e^5*ln(e*x+d)*C*a^2*c*d^2+45/e^7*ln(e*x+d)*C*a*c^2*d^4-3/2/e^3/(e*x+d)^2*A*d^2*a^2*c-3/2/e^5/(e*x+d)^2*A*a*c^2*d^4+3/2/e^4/(e*x+d)^2*B*a^2*c*d^3+3/2/e^6/(e*x+d)^2*B*a*c^2*d^5-3/2/e^5/(e*x+d)^2*C*a^2*c*d^4-21/e^8*ln(e*x+d)*B*c^3*d^5+28/e^9*ln(e*x+d)*C*c^3*d^6-1/2/e^7/(e*x+d)^2*A*c^3*d^6+1/2/e^2/(e*x+d)^2*B*d*a^3+1/2/e^8/(e*x+d)^2*B*c^3*d^7-1/2/e^3/(e*x+d)^2*C*d^2*a^3-1/2/e^9/(e*x+d)^2*C*c^3*d^8+3/2*c/e^3*C*x^2*a^2+15*c^3/e^7*B*x*d^4-10*c^3/e^6*A*x*d^3+3/2*c^2/e^3*A*x^2*a+3*c/e^3*B*x*a^2-21*c^3/e^8*C*x*d^5+3*c^3/e^5*A*x^2*d^2-5*c^3/e^6*B*x^2*d^3+15/2*c^3/e^7*C*x^2*d^4+3/4*c^2/e^3*C*x^4*a+3/2*c^3/e^5*C*x^4*d^2-c^3/e^4*A*x^3*d+c^2/e^3*B*x^3*a+2*c^3/e^5*B*x^3*d^2-10/3*c^3/e^6*C*x^3*d^3+6/e^7/(e*x+d)*A*c^3*d^5-7/e^8/(e*x+d)*B*c^3*d^6+2/e^3/(e*x+d)*C*a^3*d+8/e^9/(e*x+d)*C*c^3*d^7-3/5*c^3/e^4*C*x^5*d-3/4*c^3/e^4*B*x^4*d+3/e^3*ln(e*x+d)*A*a^2*c+15/e^7*ln(e*x+d)*A*c^3*d^4","B"
39,1,76,17,0.006000," ","int((b*x^2+a)*(3*b*d*x^2+4*b*c*x-a*d)/(d*x+c)^2,x)","\frac{\left(b \,d^{2} x^{3}-b c d \,x^{2}+2 a \,d^{2} x +b \,c^{2} x \right) b}{d^{3}}-\frac{-a^{2} d^{4}-2 a b \,c^{2} d^{2}-b^{2} c^{4}}{\left(d x +c \right) d^{4}}"," ",0,"b/d^3*(b*d^2*x^3-b*c*d*x^2+2*a*d^2*x+b*c^2*x)-(-a^2*d^4-2*a*b*c^2*d^2-b^2*c^4)/d^4/(d*x+c)","B"
40,1,76,17,0.005000," ","int((b*x^2+a)*(-a*d+b*x*(3*d*x+4*c))/(d*x+c)^2,x)","\frac{\left(b \,d^{2} x^{3}-b c d \,x^{2}+2 a \,d^{2} x +b \,c^{2} x \right) b}{d^{3}}-\frac{-a^{2} d^{4}-2 a b \,c^{2} d^{2}-b^{2} c^{4}}{\left(d x +c \right) d^{4}}"," ",0,"(b*d^2*x^3-b*c*d*x^2+2*a*d^2*x+b*c^2*x)*b/d^3-(-a^2*d^4-2*a*b*c^2*d^2-b^2*c^4)/(d*x+c)/d^4","B"
41,1,157,17,0.007000," ","int((b*x^2+a)^2*(5*b*d*x^2+6*b*c*x-a*d)/(d*x+c)^2,x)","\frac{\left(b^{2} d^{4} x^{5}-b^{2} c \,d^{3} x^{4}+3 a b \,d^{4} x^{3}+b^{2} c^{2} d^{2} x^{3}-3 a b c \,d^{3} x^{2}-b^{2} c^{3} d \,x^{2}+3 a^{2} d^{4} x +3 a b \,c^{2} d^{2} x +b^{2} c^{4} x \right) b}{d^{5}}-\frac{-a^{3} d^{6}-3 a^{2} b \,c^{2} d^{4}-3 a \,b^{2} c^{4} d^{2}-b^{3} c^{6}}{\left(d x +c \right) d^{6}}"," ",0,"b/d^5*(b^2*d^4*x^5-b^2*c*d^3*x^4+3*a*b*d^4*x^3+b^2*c^2*d^2*x^3-3*a*b*c*d^3*x^2-b^2*c^3*d*x^2+3*a^2*d^4*x+3*a*b*c^2*d^2*x+b^2*c^4*x)-(-a^3*d^6-3*a^2*b*c^2*d^4-3*a*b^2*c^4*d^2-b^3*c^6)/d^6/(d*x+c)","B"
42,1,157,17,0.006000," ","int((b*x^2+a)^2*(-a*d+b*x*(5*d*x+6*c))/(d*x+c)^2,x)","\frac{\left(b^{2} d^{4} x^{5}-b^{2} c \,d^{3} x^{4}+3 a b \,d^{4} x^{3}+b^{2} c^{2} d^{2} x^{3}-3 a b c \,d^{3} x^{2}-b^{2} c^{3} d \,x^{2}+3 a^{2} d^{4} x +3 a b \,c^{2} d^{2} x +b^{2} c^{4} x \right) b}{d^{5}}-\frac{-a^{3} d^{6}-3 a^{2} b \,c^{2} d^{4}-3 a \,b^{2} c^{4} d^{2}-b^{3} c^{6}}{\left(d x +c \right) d^{6}}"," ",0,"(b^2*d^4*x^5-b^2*c*d^3*x^4+3*a*b*d^4*x^3+b^2*c^2*d^2*x^3-3*a*b*c*d^3*x^2-b^2*c^3*d*x^2+3*a^2*d^4*x+3*a*b*c^2*d^2*x+b^2*c^4*x)*b/d^5-(-a^3*d^6-3*a^2*b*c^2*d^4-3*a*b^2*c^4*d^2-b^3*c^6)/(d*x+c)/d^6","B"
43,1,399,224,0.011000," ","int((e*x+d)^3*(C*x^2+B*x+A)/(c*x^2+a),x)","\frac{C \,e^{3} x^{4}}{4 c}+\frac{B \,e^{3} x^{3}}{3 c}+\frac{C d \,e^{2} x^{3}}{c}-\frac{3 A a d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{A \,e^{3} x^{2}}{2 c}+\frac{A \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}+\frac{B \,a^{2} e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c^{2}}-\frac{3 B a \,d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{3 B d \,e^{2} x^{2}}{2 c}+\frac{3 C \,a^{2} d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c^{2}}-\frac{C a \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}-\frac{C a \,e^{3} x^{2}}{2 c^{2}}+\frac{3 C \,d^{2} e \,x^{2}}{2 c}-\frac{A a \,e^{3} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{3 A \,d^{2} e \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{3 A d \,e^{2} x}{c}-\frac{3 B a d \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}-\frac{B a \,e^{3} x}{c^{2}}+\frac{B \,d^{3} \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{3 B \,d^{2} e x}{c}+\frac{C \,a^{2} e^{3} \ln \left(c \,x^{2}+a \right)}{2 c^{3}}-\frac{3 C a \,d^{2} e \ln \left(c \,x^{2}+a \right)}{2 c^{2}}-\frac{3 C a d \,e^{2} x}{c^{2}}+\frac{C \,d^{3} x}{c}"," ",0,"1/4*C*e^3*x^4/c+1/3/c*B*x^3*e^3+1/c*C*x^3*d*e^2+1/2/c*A*x^2*e^3+3/2/c*B*x^2*d*e^2-1/2/c^2*C*x^2*a*e^3+3/2/c*C*x^2*d^2*e+3/c*A*x*d*e^2-1/c^2*B*x*a*e^3+3/c*B*x*d^2*e-3/c^2*C*x*a*d*e^2+1/c*C*x*d^3-1/2/c^2*ln(c*x^2+a)*A*a*e^3+3/2/c*ln(c*x^2+a)*A*d^2*e-3/2/c^2*ln(c*x^2+a)*B*a*d*e^2+1/2/c*ln(c*x^2+a)*B*d^3+1/2/c^3*ln(c*x^2+a)*C*a^2*e^3-3/2/c^2*ln(c*x^2+a)*C*a*d^2*e-3/c/(a*c)^(1/2)*arctan(x*c/(a*c)^(1/2))*A*a*d*e^2+1/(a*c)^(1/2)*arctan(x*c/(a*c)^(1/2))*A*d^3+1/c^2/(a*c)^(1/2)*arctan(x*c/(a*c)^(1/2))*B*a^2*e^3-3/c/(a*c)^(1/2)*arctan(x*c/(a*c)^(1/2))*B*a*d^2*e+3/c^2/(a*c)^(1/2)*arctan(x*c/(a*c)^(1/2))*C*a^2*d*e^2-1/c/(a*c)^(1/2)*arctan(x*c/(a*c)^(1/2))*C*a*d^3","A"
44,1,256,154,0.007000," ","int((e*x+d)^2*(C*x^2+B*x+A)/(c*x^2+a),x)","\frac{C \,e^{2} x^{3}}{3 c}-\frac{A a \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{A \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}-\frac{2 B a d e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{B \,e^{2} x^{2}}{2 c}+\frac{C \,a^{2} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c^{2}}-\frac{C a \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{C d e \,x^{2}}{c}+\frac{A d e \ln \left(c \,x^{2}+a \right)}{c}+\frac{A \,e^{2} x}{c}-\frac{B a \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{B \,d^{2} \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{2 B d e x}{c}-\frac{C a d e \ln \left(c \,x^{2}+a \right)}{c^{2}}-\frac{C a \,e^{2} x}{c^{2}}+\frac{C \,d^{2} x}{c}"," ",0,"1/3*C*e^2*x^3/c+1/2/c*B*x^2*e^2+1/c*C*x^2*d*e+1/c*A*e^2*x+2/c*B*d*e*x-1/c^2*a*C*e^2*x+1/c*C*d^2*x+1/c*ln(c*x^2+a)*A*d*e-1/2/c^2*ln(c*x^2+a)*B*a*e^2+1/2/c*ln(c*x^2+a)*B*d^2-1/c^2*ln(c*x^2+a)*C*a*d*e-1/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*a*e^2+1/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2-2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a*d*e+1/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*a^2*C*e^2-1/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*a*d^2","A"
45,1,133,81,0.006000," ","int((e*x+d)*(C*x^2+B*x+A)/(c*x^2+a),x)","\frac{A d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}-\frac{B a e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}-\frac{C a d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{C e \,x^{2}}{2 c}+\frac{A e \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{B d \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{B e x}{c}-\frac{C a e \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{C d x}{c}"," ",0,"1/2*C*e*x^2/c+1/c*B*e*x+1/c*C*d*x+1/2/c*ln(c*x^2+a)*A*e+1/2/c*ln(c*x^2+a)*B*d-1/2/c^2*ln(c*x^2+a)*a*C*e+1/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d-1/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a*e-1/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*a*d","A"
46,1,59,45,0.003000," ","int((C*x^2+B*x+A)/(c*x^2+a),x)","\frac{A \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}-\frac{C a \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{B \ln \left(c \,x^{2}+a \right)}{2 c}+\frac{C x}{c}"," ",0,"C*x/c+1/2*B*ln(c*x^2+a)/c+1/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A-1/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*a*C","A"
47,1,247,123,0.008000," ","int((C*x^2+B*x+A)/(e*x+d)/(c*x^2+a),x)","\frac{A c d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right) \sqrt{a c}}+\frac{B a e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right) \sqrt{a c}}-\frac{C a d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right) \sqrt{a c}}-\frac{A e \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)}+\frac{A e \ln \left(e x +d \right)}{a \,e^{2}+c \,d^{2}}+\frac{B d \ln \left(c \,x^{2}+a \right)}{2 a \,e^{2}+2 c \,d^{2}}-\frac{B d \ln \left(e x +d \right)}{a \,e^{2}+c \,d^{2}}+\frac{C a e \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right) c}+\frac{C \,d^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right) e}"," ",0,"1/(a*e^2+c*d^2)*e*ln(e*x+d)*A-1/(a*e^2+c*d^2)*ln(e*x+d)*B*d+1/(a*e^2+c*d^2)/e*ln(e*x+d)*C*d^2-1/2/(a*e^2+c*d^2)*ln(c*x^2+a)*A*e+1/2/(a*e^2+c*d^2)*ln(c*x^2+a)*B*d+1/2/(a*e^2+c*d^2)/c*ln(c*x^2+a)*a*C*e+1/(a*e^2+c*d^2)/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c*d+1/(a*e^2+c*d^2)/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a*e-1/(a*e^2+c*d^2)/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*a*d","A"
48,1,462,204,0.010000," ","int((C*x^2+B*x+A)/(e*x+d)^2/(c*x^2+a),x)","-\frac{A a c \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{A \,c^{2} d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{2 B a c d e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{C \,a^{2} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}-\frac{C a c \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}-\frac{A c d e \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}+\frac{2 A c d e \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{B a \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2}}+\frac{B a \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}+\frac{B c \,d^{2} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{B c \,d^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}+\frac{C a d e \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{2 C a d e \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{A e}{\left(a \,e^{2}+c \,d^{2}\right) \left(e x +d \right)}+\frac{B d}{\left(a \,e^{2}+c \,d^{2}\right) \left(e x +d \right)}-\frac{C \,d^{2}}{\left(a \,e^{2}+c \,d^{2}\right) \left(e x +d \right) e}"," ",0,"-1/(a*e^2+c*d^2)*e/(e*x+d)*A+1/(a*e^2+c*d^2)/(e*x+d)*B*d-1/(a*e^2+c*d^2)/e/(e*x+d)*C*d^2+2/(a*e^2+c*d^2)^2*ln(e*x+d)*A*c*d*e+1/(a*e^2+c*d^2)^2*ln(e*x+d)*B*a*e^2-1/(a*e^2+c*d^2)^2*ln(e*x+d)*B*c*d^2-2/(a*e^2+c*d^2)^2*ln(e*x+d)*C*a*d*e-1/(a*e^2+c*d^2)^2*c*ln(c*x^2+a)*A*d*e-1/2/(a*e^2+c*d^2)^2*ln(c*x^2+a)*e^2*B*a+1/2/(a*e^2+c*d^2)^2*c*ln(c*x^2+a)*d^2*B+1/(a*e^2+c*d^2)^2*ln(c*x^2+a)*C*a*d*e-1/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*a*c*e^2+1/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^2*d^2+2/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a*c*d*e+1/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*a^2*C*e^2-1/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*a*c*d^2","B"
49,1,754,294,0.015000," ","int((C*x^2+B*x+A)/(e*x+d)^3/(c*x^2+a),x)","-\frac{3 A a \,c^{2} d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{A \,c^{3} d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{B \,a^{2} c \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{3 B a \,c^{2} d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{3 C \,a^{2} c d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{C a \,c^{2} d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{A a c \,e^{3} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{A a c \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{3 A \,c^{2} d^{2} e \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{3 A \,c^{2} d^{2} e \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{3 B a c d \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{3 B a c d \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{B \,c^{2} d^{3} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{B \,c^{2} d^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{C \,a^{2} e^{3} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{C \,a^{2} e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{3 C a c \,d^{2} e \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{3 C a c \,d^{2} e \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{2 A c d e}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{B a \,e^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{B c \,d^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{2 C a d e}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{A e}{2 \left(a \,e^{2}+c \,d^{2}\right) \left(e x +d \right)^{2}}+\frac{B d}{2 \left(a \,e^{2}+c \,d^{2}\right) \left(e x +d \right)^{2}}-\frac{C \,d^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right) \left(e x +d \right)^{2} e}"," ",0,"-1/2/(a*e^2+c*d^2)*e/(e*x+d)^2*A+1/2/(a*e^2+c*d^2)/(e*x+d)^2*B*d+2/(a*e^2+c*d^2)^2/(e*x+d)*C*a*d*e+1/2*c/(a*e^2+c*d^2)^3*ln(c*x^2+a)*A*e^3*a-3/2*c^2/(a*e^2+c*d^2)^3*ln(c*x^2+a)*A*d^2*e+c^3/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3-1/(a*e^2+c*d^2)^3*ln(e*x+d)*A*c*e^3*a+3/(a*e^2+c*d^2)^3*ln(e*x+d)*A*c^2*d^2*e-2/(a*e^2+c*d^2)^2/(e*x+d)*A*c*d*e-3/2*c/(a*e^2+c*d^2)^3*ln(c*x^2+a)*B*d*e^2*a+3/2*c/(a*e^2+c*d^2)^3*ln(c*x^2+a)*C*a*d^2*e-c/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a^2*e^3-c^2/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*a*d^3+3/(a*e^2+c*d^2)^3*ln(e*x+d)*B*c*d*e^2*a-3/(a*e^2+c*d^2)^3*ln(e*x+d)*C*a*c*d^2*e-3*c^2/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*a*d*e^2+3*c^2/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*a*d^2*e+3*c/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*a^2*d*e^2+1/2*c^2/(a*e^2+c*d^2)^3*ln(c*x^2+a)*d^3*B-1/(a*e^2+c*d^2)^3*ln(e*x+d)*d^3*c^2*B+1/(a*e^2+c*d^2)^3*ln(e*x+d)*C*a^2*e^3-1/2/(a*e^2+c*d^2)/e/(e*x+d)^2*C*d^2-1/(a*e^2+c*d^2)^2/(e*x+d)*B*a*e^2+1/(a*e^2+c*d^2)^2/(e*x+d)*B*c*d^2-1/2/(a*e^2+c*d^2)^3*ln(c*x^2+a)*C*a^2*e^3","B"
50,1,484,198,0.015000," ","int((e*x+d)^3*(C*x^2+B*x+A)/(c*x^2+a)^2,x)","\frac{A \,d^{3} x}{2 \left(c \,x^{2}+a \right) a}+\frac{A \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}-\frac{3 A d \,e^{2} x}{2 \left(c \,x^{2}+a \right) c}+\frac{3 A d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{B a \,e^{3} x}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{3 B a \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{2}}-\frac{3 B \,d^{2} e x}{2 \left(c \,x^{2}+a \right) c}+\frac{3 B \,d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{3 C a d \,e^{2} x}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{9 C a d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{2}}-\frac{C \,d^{3} x}{2 \left(c \,x^{2}+a \right) c}+\frac{C \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{C \,e^{3} x^{2}}{2 c^{2}}+\frac{A a \,e^{3}}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{3 A \,d^{2} e}{2 \left(c \,x^{2}+a \right) c}+\frac{A \,e^{3} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{3 B a d \,e^{2}}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{B \,d^{3}}{2 \left(c \,x^{2}+a \right) c}+\frac{3 B d \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{B \,e^{3} x}{c^{2}}-\frac{C \,a^{2} e^{3}}{2 \left(c \,x^{2}+a \right) c^{3}}+\frac{3 C a \,d^{2} e}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{C a \,e^{3} \ln \left(c \,x^{2}+a \right)}{c^{3}}+\frac{3 C \,d^{2} e \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{3 C d \,e^{2} x}{c^{2}}"," ",0,"-1/2/c/(c*x^2+a)*B*d^3+1/2/c^2*ln(c*x^2+a)*A*e^3+1/2*e^3/c^2*C*x^2+e^3/c^2*B*x+3/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d*e^2-3/2/c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^3+3/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^2*e-3/2/c/(c*x^2+a)*A*x*d*e^2+1/2/c^2/(c*x^2+a)*B*x*a*e^3-3/2/c/(c*x^2+a)*B*x*d^2*e+3/2/c^2/(c*x^2+a)*B*a*d*e^2+3/2/c^2/(c*x^2+a)*C*a*d^2*e+1/2/(c*x^2+a)/a*x*A*d^3+3*e^2/c^2*C*d*x+3/2/c^2/(c*x^2+a)*C*x*a*d*e^2-9/2/c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d*e^2+3/2/c^2*ln(c*x^2+a)*B*d*e^2-1/c^3*a*ln(c*x^2+a)*C*e^3+3/2/c^2*ln(c*x^2+a)*C*d^2*e+1/2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3+1/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^3-1/2/c/(c*x^2+a)*C*x*d^3+1/2/c^2/(c*x^2+a)*A*a*e^3-3/2/c/(c*x^2+a)*A*d^2*e-1/2/c^3/(c*x^2+a)*C*a^2*e^3","B"
51,1,323,130,0.013000," ","int((e*x+d)^2*(C*x^2+B*x+A)/(c*x^2+a)^2,x)","\frac{A \,d^{2} x}{2 \left(c \,x^{2}+a \right) a}+\frac{A \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}-\frac{A \,e^{2} x}{2 \left(c \,x^{2}+a \right) c}+\frac{A \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}-\frac{B d e x}{\left(c \,x^{2}+a \right) c}+\frac{B d e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}\, c}+\frac{C a \,e^{2} x}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{3 C a \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c^{2}}-\frac{C \,d^{2} x}{2 \left(c \,x^{2}+a \right) c}+\frac{C \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}-\frac{A d e}{\left(c \,x^{2}+a \right) c}+\frac{B a \,e^{2}}{2 \left(c \,x^{2}+a \right) c^{2}}-\frac{B \,d^{2}}{2 \left(c \,x^{2}+a \right) c}+\frac{B \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{C a d e}{\left(c \,x^{2}+a \right) c^{2}}+\frac{C d e \ln \left(c \,x^{2}+a \right)}{c^{2}}+\frac{C \,e^{2} x}{c^{2}}"," ",0,"C*e^2/c^2*x-1/2/c/(c*x^2+a)*A*e^2*x+1/2/(c*x^2+a)/a*x*A*d^2-1/c/(c*x^2+a)*B*d*e*x+1/2/c^2/(c*x^2+a)*a*C*e^2*x-1/2/c/(c*x^2+a)*C*d^2*x-1/c/(c*x^2+a)*A*d*e+1/2/c^2/(c*x^2+a)*B*a*e^2-1/2/c/(c*x^2+a)*B*d^2+1/c^2/(c*x^2+a)*C*a*d*e+1/2/c^2*ln(c*x^2+a)*B*e^2+1/c^2*ln(c*x^2+a)*C*d*e+1/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*e^2+1/2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2+1/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d*e-3/2/c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*e^2+1/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^2","B"
52,1,134,83,0.009000," ","int((e*x+d)*(C*x^2+B*x+A)/(c*x^2+a)^2,x)","\frac{A d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}+\frac{B e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{C d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{C e \ln \left(c \,x^{2}+a \right)}{2 c^{2}}+\frac{\frac{\left(A c d -B a e -C a d \right) x}{2 a c}-\frac{A c e +B c d -a C e}{2 c^{2}}}{c \,x^{2}+a}"," ",0,"(1/2*(A*c*d-B*a*e-C*a*d)/a/c*x-1/2*(A*c*e+B*c*d-C*a*e)/c^2)/(c*x^2+a)+1/2*C*e*ln(c*x^2+a)/c^2+1/2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d+1/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e+1/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d","A"
53,1,76,57,0.008000," ","int((C*x^2+B*x+A)/(c*x^2+a)^2,x)","\frac{A \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}+\frac{C \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, c}+\frac{-\frac{B}{2 c}+\frac{\left(A c -a C \right) x}{2 a c}}{c \,x^{2}+a}"," ",0,"(1/2*(A*c-C*a)/a/c*x-1/2*B/c)/(c*x^2+a)+1/2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A+1/2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C","A"
54,1,742,212,0.017000," ","int((C*x^2+B*x+A)/(e*x+d)/(c*x^2+a)^2,x)","\frac{A \,c^{2} d^{3} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right) a}+\frac{A \,c^{2} d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}\, a}+\frac{A c d \,e^{2} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}+\frac{3 A c d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{B a \,e^{3} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}+\frac{B a \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{B c \,d^{2} e x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}-\frac{B c \,d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}-\frac{C a d \,e^{2} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}-\frac{C a d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}-\frac{C c \,d^{3} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}+\frac{C c \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \sqrt{a c}}+\frac{A a \,e^{3}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}+\frac{A c \,d^{2} e}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}-\frac{A \,e^{3} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2}}+\frac{A \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{B a d \,e^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}-\frac{B c \,d^{3}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}+\frac{B d \,e^{2} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{B d \,e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}-\frac{C \,a^{2} e^{3}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right) c}-\frac{C a \,d^{2} e}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(c \,x^{2}+a \right)}-\frac{C \,d^{2} e \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2}}+\frac{C \,d^{2} e \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{2}}"," ",0,"e^3/(a*e^2+c*d^2)^2*ln(e*x+d)*A-e^2/(a*e^2+c*d^2)^2*ln(e*x+d)*B*d+e/(a*e^2+c*d^2)^2*ln(e*x+d)*C*d^2+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*A*x*c*d*e^2+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)/a*x*A*c^2*d^3+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*B*x*a*e^3+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*B*x*c*d^2*e-1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*C*x*a*d*e^2-1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*C*x*c*d^3+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*A*e^3*a+1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*c*A*d^2*e-1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*B*d*e^2*a-1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*c*d^3*B-1/2/(a*e^2+c*d^2)^2/(c*x^2+a)/c*C*a^2*e^3-1/2/(a*e^2+c*d^2)^2/(c*x^2+a)*C*a*d^2*e-1/2/(a*e^2+c*d^2)^2*ln(c*x^2+a)*A*e^3+1/2/(a*e^2+c*d^2)^2*ln(c*x^2+a)*B*d*e^2-1/2/(a*e^2+c*d^2)^2*ln(c*x^2+a)*C*d^2*e+3/2/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c*d*e^2+1/2/(a*e^2+c*d^2)^2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^2*d^3+1/2/(a*e^2+c*d^2)^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^3-1/2/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c*d^2*e-1/2/(a*e^2+c*d^2)^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d*e^2+1/2/(a*e^2+c*d^2)^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*c*d^3","B"
55,1,1036,360,0.023000," ","int((C*x^2+B*x+A)/(e*x+d)^2/(c*x^2+a)^2,x)","-\frac{A a c \,e^{4} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}-\frac{3 A a c \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{A \,c^{3} d^{4} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right) a}+\frac{A \,c^{3} d^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}\, a}+\frac{3 A \,c^{2} d^{2} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{B a c d \,e^{3} x}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}+\frac{3 B a c d \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{B \,c^{2} d^{3} e x}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}-\frac{B \,c^{2} d^{3} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{C \,a^{2} e^{4} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}+\frac{C \,a^{2} e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{3 C a c \,d^{2} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{C \,c^{2} d^{4} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}+\frac{C \,c^{2} d^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{A a c d \,e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}+\frac{A \,c^{2} d^{3} e}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}-\frac{2 A c d \,e^{3} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{4 A c d \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{B \,a^{2} e^{4}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}-\frac{B a \,e^{4} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{B a \,e^{4} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{B \,c^{2} d^{4}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}+\frac{3 B c \,d^{2} e^{2} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{3 B c \,d^{2} e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{C \,a^{2} d \,e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}-\frac{C a c \,d^{3} e}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)}+\frac{C a d \,e^{3} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{2 C a d \,e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{C c \,d^{3} e \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{2 C c \,d^{3} e \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{A \,e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{B d \,e^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{C \,d^{2} e}{\left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)}"," ",0,"-2/(a*e^2+c*d^2)^3*c*ln(c*x^2+a)*d*A*e^3+3/2/(a*e^2+c*d^2)^3*c*ln(c*x^2+a)*e^2*d^2*B-1/(a*e^2+c*d^2)^3*c*ln(c*x^2+a)*C*d^3*e+1/2/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*c^2*d^4+1/(a*e^2+c*d^2)^3*a*ln(c*x^2+a)*C*d*e^3+1/2/(a*e^2+c*d^2)^3*a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*e^4+2*e/(a*e^2+c*d^2)^3*ln(e*x+d)*C*c*d^3+4*e^3/(a*e^2+c*d^2)^3*ln(e*x+d)*A*c*d-3*e^2/(a*e^2+c*d^2)^3*ln(e*x+d)*B*c*d^2-2*e^3/(a*e^2+c*d^2)^3*ln(e*x+d)*C*a*d+1/2/(a*e^2+c*d^2)^3/(c*x^2+a)*a^2*C*e^4*x-1/2/(a*e^2+c*d^2)^3/(c*x^2+a)*C*c^2*d^4*x+1/(a*e^2+c*d^2)^3/(c*x^2+a)*A*c^2*d^3*e-1/(a*e^2+c*d^2)^3/(c*x^2+a)*C*a^2*d*e^3-e^3/(a*e^2+c*d^2)^2/(e*x+d)*A-1/(a*e^2+c*d^2)^3/(c*x^2+a)*C*a*c*d^3*e-3/2/(a*e^2+c*d^2)^3*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c*e^4+1/2/(a*e^2+c*d^2)^3/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^3*d^4+3/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^2*d^2*e^2-1/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c^2*d^3*e-1/2/(a*e^2+c*d^2)^3/(c*x^2+a)*A*a*c*e^4*x+1/2/(a*e^2+c*d^2)^3/(c*x^2+a)/a*x*A*c^3*d^4+1/(a*e^2+c*d^2)^3/(c*x^2+a)*B*c^2*d^3*e*x+1/(a*e^2+c*d^2)^3/(c*x^2+a)*A*a*c*d*e^3+1/(a*e^2+c*d^2)^3/(c*x^2+a)*d*a*c*B*e^3*x-3/(a*e^2+c*d^2)^3*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*c*d^2*e^2+3/(a*e^2+c*d^2)^3*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c*d*e^3-1/2/(a*e^2+c*d^2)^3*a*ln(c*x^2+a)*e^4*B+e^4/(a*e^2+c*d^2)^3*ln(e*x+d)*B*a+1/2/(a*e^2+c*d^2)^3/(c*x^2+a)*B*a^2*e^4-1/2/(a*e^2+c*d^2)^3/(c*x^2+a)*B*c^2*d^4+e^2/(a*e^2+c*d^2)^2/(e*x+d)*B*d-e/(a*e^2+c*d^2)^2/(e*x+d)*C*d^2","B"
56,1,1588,508,0.027000," ","int((C*x^2+B*x+A)/(e*x+d)^3/(c*x^2+a)^2,x)","-\frac{3 A a \,c^{2} d \,e^{4} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}-\frac{15 A a \,c^{2} d \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{A \,c^{4} d^{5} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right) a}+\frac{A \,c^{4} d^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}\, a}-\frac{A \,c^{3} d^{3} e^{2} x}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}+\frac{5 A \,c^{3} d^{3} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}-\frac{B \,a^{2} c \,e^{5} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}-\frac{3 B \,a^{2} c \,e^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{B a \,c^{2} d^{2} e^{3} x}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}+\frac{9 B a \,c^{2} d^{2} e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{3 B \,c^{3} d^{4} e x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}-\frac{3 B \,c^{3} d^{4} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{3 C \,a^{2} c d \,e^{4} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}+\frac{9 C \,a^{2} c d \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{C a \,c^{2} d^{3} e^{2} x}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}-\frac{7 C a \,c^{2} d^{3} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}-\frac{C \,c^{3} d^{5} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}+\frac{C \,c^{3} d^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}-\frac{A \,a^{2} c \,e^{5}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}+\frac{A a \,c^{2} d^{2} e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}+\frac{A a c \,e^{5} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{2 A a c \,e^{5} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{3 A \,c^{3} d^{4} e}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}-\frac{5 A \,c^{2} d^{2} e^{3} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{10 A \,c^{2} d^{2} e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{3 B \,a^{2} c d \,e^{4}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}+\frac{B a \,c^{2} d^{3} e^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}-\frac{3 B a c d \,e^{4} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{6 B a c d \,e^{4} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{B \,c^{3} d^{5}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}+\frac{3 B \,c^{2} d^{3} e^{2} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{6 B \,c^{2} d^{3} e^{2} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{C \,a^{3} e^{5}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}-\frac{C \,a^{2} c \,d^{2} e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}-\frac{C \,a^{2} e^{5} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{C \,a^{2} e^{5} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{3 C a \,c^{2} d^{4} e}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)}+\frac{4 C a c \,d^{2} e^{3} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{8 C a c \,d^{2} e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{3 C \,c^{2} d^{4} e \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{3 C \,c^{2} d^{4} e \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{4 A c d \,e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(e x +d \right)}-\frac{B a \,e^{4}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(e x +d \right)}+\frac{3 B c \,d^{2} e^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(e x +d \right)}+\frac{2 C a d \,e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(e x +d \right)}-\frac{2 C c \,d^{3} e}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(e x +d \right)}-\frac{A \,e^{3}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)^{2}}+\frac{B d \,e^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)^{2}}-\frac{C \,d^{2} e}{2 \left(a \,e^{2}+c \,d^{2}\right)^{2} \left(e x +d \right)^{2}}"," ",0,"-1/2/(a*e^2+c*d^2)^4*c/(c*x^2+a)*A*e^5*a^2-1/2/(a*e^2+c*d^2)^4*c^3/(c*x^2+a)*C*x*d^5+3/2/(a*e^2+c*d^2)^4*c^3/(c*x^2+a)*A*d^4*e-5/(a*e^2+c*d^2)^4*c^2*ln(c*x^2+a)*A*d^2*e^3+3/(a*e^2+c*d^2)^4*c^2*ln(c*x^2+a)*d^3*e^2*B-3/2/(a*e^2+c*d^2)^4*c^2*ln(c*x^2+a)*C*d^4*e+1/2/(a*e^2+c*d^2)^4*c^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^5+1/(a*e^2+c*d^2)^4*c*a*ln(c*x^2+a)*A*e^5+2*e^3/(a*e^2+c*d^2)^3/(e*x+d)*C*a*d-2*e/(a*e^2+c*d^2)^3/(e*x+d)*C*c*d^3-2*e^5/(a*e^2+c*d^2)^4*ln(e*x+d)*A*a*c+10*e^3/(a*e^2+c*d^2)^4*ln(e*x+d)*A*c^2*d^2-6*e^2/(a*e^2+c*d^2)^4*ln(e*x+d)*B*c^2*d^3+3*e/(a*e^2+c*d^2)^4*ln(e*x+d)*C*c^2*d^4-4*e^3/(a*e^2+c*d^2)^3/(e*x+d)*A*c*d+3*e^2/(a*e^2+c*d^2)^3/(e*x+d)*B*c*d^2-1/2*e^3/(a*e^2+c*d^2)^2/(e*x+d)^2*A+1/(a*e^2+c*d^2)^4*c^2/(c*x^2+a)*C*x*a*d^3*e^2+9/2/(a*e^2+c*d^2)^4*c*a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d*e^4-15/2/(a*e^2+c*d^2)^4*c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d*e^4+9/(a*e^2+c*d^2)^4*c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^2*e^3-7/(a*e^2+c*d^2)^4*c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^3*e^2+3/2/(a*e^2+c*d^2)^4*c/(c*x^2+a)*C*x*a^2*d*e^4-3/2/(a*e^2+c*d^2)^4*c^2/(c*x^2+a)*A*x*a*d*e^4+1/(a*e^2+c*d^2)^4*c^2/(c*x^2+a)*B*x*a*d^2*e^3-1/(a*e^2+c*d^2)^4*c^3/(c*x^2+a)*A*x*d^3*e^2+1/2/(a*e^2+c*d^2)^4*c^4/(c*x^2+a)/a*x*A*d^5+3/2/(a*e^2+c*d^2)^4*c^3/(c*x^2+a)*B*x*d^4*e+1/(a*e^2+c*d^2)^4*c^2/(c*x^2+a)*A*d^2*e^3*a+1/(a*e^2+c*d^2)^4*c^2/(c*x^2+a)*d^3*e^2*B*a-3/2/(a*e^2+c*d^2)^4*c^2/(c*x^2+a)*C*a*d^4*e+6*e^4/(a*e^2+c*d^2)^4*ln(e*x+d)*B*a*c*d-8*e^3/(a*e^2+c*d^2)^4*ln(e*x+d)*C*a*c*d^2-1/2/(a*e^2+c*d^2)^4*c/(c*x^2+a)*B*x*a^2*e^5+3/2/(a*e^2+c*d^2)^4*c/(c*x^2+a)*d*e^4*B*a^2-1/(a*e^2+c*d^2)^4*c/(c*x^2+a)*C*a^2*d^2*e^3+1/2/(a*e^2+c*d^2)^4*c^4/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^5+5/(a*e^2+c*d^2)^4*c^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3*e^2-3/2/(a*e^2+c*d^2)^4*c^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^4*e-3/(a*e^2+c*d^2)^4*c*a*ln(c*x^2+a)*d*e^4*B+4/(a*e^2+c*d^2)^4*c*a*ln(c*x^2+a)*C*d^2*e^3-3/2/(a*e^2+c*d^2)^4*c*a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^5+1/2/(a*e^2+c*d^2)^4/(c*x^2+a)*C*a^3*e^5-e^4/(a*e^2+c*d^2)^3/(e*x+d)*B*a+1/2*e^2/(a*e^2+c*d^2)^2/(e*x+d)^2*B*d-1/2*e/(a*e^2+c*d^2)^2/(e*x+d)^2*C*d^2+e^5/(a*e^2+c*d^2)^4*ln(e*x+d)*a^2*C-1/2/(a*e^2+c*d^2)^4*c^3/(c*x^2+a)*d^5*B-1/2/(a*e^2+c*d^2)^4*a^2*ln(c*x^2+a)*C*e^5","B"
57,1,402,199,0.013000," ","int((e*x+d)^3*(C*x^2+B*x+A)/(c*x^2+a)^3,x)","\frac{3 A d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{3 A \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}+\frac{3 B \,d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{3 B \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, c^{2}}+\frac{C \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{9 C d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, c^{2}}+\frac{C \,e^{3} \ln \left(c \,x^{2}+a \right)}{2 c^{3}}+\frac{-\frac{\left(A c \,e^{2}+3 B c d e -2 a C \,e^{2}+3 C c \,d^{2}\right) e \,x^{2}}{2 c^{2}}+\frac{\left(3 A a c d \,e^{2}+3 A \,c^{2} d^{3}-5 B \,a^{2} e^{3}+3 B a c \,d^{2} e -15 C \,a^{2} d \,e^{2}+C a c \,d^{3}\right) x^{3}}{8 a^{2} c}-\frac{\left(3 A a c d \,e^{2}-5 A \,c^{2} d^{3}+3 B \,a^{2} e^{3}+3 B a c \,d^{2} e +9 C \,a^{2} d \,e^{2}+C a c \,d^{3}\right) x}{8 a \,c^{2}}-\frac{A c \,e^{3} a +3 A \,c^{2} d^{2} e +3 B c d \,e^{2} a +d^{3} c^{2} B -3 C \,a^{2} e^{3}+3 C a c \,d^{2} e}{4 c^{3}}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"(1/8*(3*A*a*c*d*e^2+3*A*c^2*d^3-5*B*a^2*e^3+3*B*a*c*d^2*e-15*C*a^2*d*e^2+C*a*c*d^3)/a^2/c*x^3-1/2*e*(A*c*e^2+3*B*c*d*e-2*C*a*e^2+3*C*c*d^2)/c^2*x^2-1/8*(3*A*a*c*d*e^2-5*A*c^2*d^3+3*B*a^2*e^3+3*B*a*c*d^2*e+9*C*a^2*d*e^2+C*a*c*d^3)/a/c^2*x-1/4*(A*a*c*e^3+3*A*c^2*d^2*e+3*B*a*c*d*e^2+B*c^2*d^3-3*C*a^2*e^3+3*C*a*c*d^2*e)/c^3)/(c*x^2+a)^2+1/2*C*e^3*ln(c*x^2+a)/c^3+3/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d*e^2+3/8/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3+3/8/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^3+3/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^2*e+9/8/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d*e^2+1/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^3","B"
58,1,283,142,0.010000," ","int((e*x+d)^2*(C*x^2+B*x+A)/(c*x^2+a)^3,x)","\frac{A \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{3 A \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}+\frac{B d e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, a c}+\frac{C \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{3 C \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, c^{2}}+\frac{-\frac{\left(B e +2 C d \right) e \,x^{2}}{2 c}+\frac{\left(A a c \,e^{2}+3 A \,c^{2} d^{2}+2 B a c d e -5 a^{2} C \,e^{2}+C a c \,d^{2}\right) x^{3}}{8 a^{2} c}-\frac{\left(A a c \,e^{2}-5 A \,c^{2} d^{2}+2 B a c d e +3 a^{2} C \,e^{2}+C a c \,d^{2}\right) x}{8 a \,c^{2}}-\frac{2 A c d e +B a \,e^{2}+B c \,d^{2}+2 C a d e}{4 c^{2}}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"(1/8*(A*a*c*e^2+3*A*c^2*d^2+2*B*a*c*d*e-5*C*a^2*e^2+C*a*c*d^2)/a^2/c*x^3-1/2*e*(B*e+2*C*d)*x^2/c-1/8*(A*a*c*e^2-5*A*c^2*d^2+2*B*a*c*d*e+3*C*a^2*e^2+C*a*c*d^2)/a/c^2*x-1/4*(2*A*c*d*e+B*a*e^2+B*c*d^2+2*C*a*d*e)/c^2)/(c*x^2+a)^2+1/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*e^2+3/8/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2+1/4/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d*e+3/8/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*e^2+1/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^2","A"
59,1,157,115,0.009000," ","int((e*x+d)*(C*x^2+B*x+A)/(c*x^2+a)^3,x)","\frac{3 A d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}+\frac{B e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{C d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{-\frac{C e \,x^{2}}{2 c}+\frac{\left(3 A c d +B a e +C a d \right) x^{3}}{8 a^{2}}+\frac{\left(5 A c d -B a e -C a d \right) x}{8 a c}-\frac{A c e +B c d +a C e}{4 c^{2}}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"(1/8*(3*A*c*d+B*a*e+C*a*d)/a^2*x^3-1/2*C/c*e*x^2+1/8*(5*A*c*d-B*a*e-C*a*d)/a/c*x-1/4*(A*c*e+B*c*d+C*a*e)/c^2)/(c*x^2+a)^2+3/8/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d+1/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e+1/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d","A"
60,1,96,84,0.007000," ","int((C*x^2+B*x+A)/(c*x^2+a)^3,x)","\frac{3 A \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}+\frac{C \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a c}+\frac{\frac{\left(3 A c +a C \right) x^{3}}{8 a^{2}}-\frac{B}{4 c}+\frac{\left(5 A c -a C \right) x}{8 a c}}{\left(c \,x^{2}+a \right)^{2}}"," ",0,"(1/8*(3*A*c+C*a)/a^2*x^3+1/8*(5*A*c-C*a)/a/c*x-1/4*B/c)/(c*x^2+a)^2+3/8/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A+1/8/a/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C","A"
61,1,1598,337,0.023000," ","int((C*x^2+B*x+A)/(e*x+d)/(c*x^2+a)^3,x)","\frac{5 A \,c^{3} d^{3} e^{2} x^{3}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2} a}+\frac{3 A \,c^{4} d^{5} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2} a^{2}}+\frac{7 A \,c^{2} d \,e^{4} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{3 B a c \,e^{5} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{B \,c^{3} d^{4} e \,x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2} a}+\frac{B \,c^{2} d^{2} e^{3} x^{3}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{3 C a c d \,e^{4} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{C \,c^{3} d^{5} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2} a}-\frac{C \,c^{2} d^{3} e^{2} x^{3}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{A a c \,e^{5} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{A \,c^{2} d^{2} e^{3} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{B a c d \,e^{4} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{B \,c^{2} d^{3} e^{2} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{C a c \,d^{2} e^{3} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{C \,c^{2} d^{4} e \,x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{9 A a c d \,e^{4} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{5 A \,c^{3} d^{5} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2} a}+\frac{7 A \,c^{2} d^{3} e^{2} x}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{5 B \,a^{2} e^{5} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{3 B a c \,d^{2} e^{3} x}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{B \,c^{2} d^{4} e x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{5 C \,a^{2} d \,e^{4} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{3 C a c \,d^{3} e^{2} x}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{C \,c^{2} d^{5} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{3 A \,a^{2} e^{5}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{A a c \,d^{2} e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{5 A \,c^{2} d^{3} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}\, a}+\frac{3 A \,c^{3} d^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}\, a^{2}}+\frac{A \,c^{2} d^{4} e}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{15 A c d \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{3 B \,a^{2} d \,e^{4}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{B a c \,d^{3} e^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}+\frac{3 B a \,e^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{B \,c^{2} d^{4} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}\, a}-\frac{B \,c^{2} d^{5}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{3 B c \,d^{2} e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{C \,a^{3} e^{5}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2} c}+\frac{C a c \,d^{4} e}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \left(c \,x^{2}+a \right)^{2}}-\frac{3 C a d \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}+\frac{C \,c^{2} d^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}\, a}+\frac{3 C c \,d^{3} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \left(a \,e^{2}+c \,d^{2}\right)^{3} \sqrt{a c}}-\frac{A \,e^{5} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{A \,e^{5} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{B d \,e^{4} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{B d \,e^{4} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}-\frac{C \,d^{2} e^{3} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{3}}+\frac{C \,d^{2} e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{3}}"," ",0,"5/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*B*x*a^2*e^5-1/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*C*x*c^2*d^5-3/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*d*e^4*B*a^2+3/8/(a*e^2+c*d^2)^3*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^5+1/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^2*A*d^4*e-1/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2/c*C*a^3*e^5+e^5/(a*e^2+c*d^2)^3*ln(e*x+d)*A-1/2/(a*e^2+c*d^2)^3*ln(c*x^2+a)*A*e^5+5/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^3/a*x^3*A*d^3*e^2-1/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^3/a*x^3*B*d^4*e+1/2/(a*e^2+c*d^2)^3/(c*x^2+a)^2*C*x^2*a*c*d^2*e^3+5/4/(a*e^2+c*d^2)^3/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^2*d^3*e^2-1/8/(a*e^2+c*d^2)^3/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c^2*d^4*e+9/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*A*x*a*c*d*e^4+3/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*B*x*a*c*d^2*e^3-3/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*C*x*a*c*d^3*e^2-3/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*C*x^3*a*c*d*e^4-1/2/(a*e^2+c*d^2)^3/(c*x^2+a)^2*B*x^2*a*c*d*e^4-3/8/(a*e^2+c*d^2)^3*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d*e^4+1/8/(a*e^2+c*d^2)^3/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*c^2*d^5+3/4/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*c*d^3*e^2+15/8/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c*d*e^4-3/4/(a*e^2+c*d^2)^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c*d^2*e^3-1/2/(a*e^2+c*d^2)^3/(c*x^2+a)^2*B*x^2*c^2*d^3*e^2+1/2/(a*e^2+c*d^2)^3/(c*x^2+a)^2*C*x^2*c^2*d^4*e+7/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*A*x^3*c^2*d*e^4+3/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*B*x^3*a*c*e^5+1/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*B*x^3*c^2*d^2*e^3-1/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*C*x^3*c^2*d^3*e^2+1/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^3/a*x^3*C*d^5+5/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2/a*x*A*c^3*d^5+1/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c*A*d^2*e^3*a+1/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*B*x*c^2*d^4*e-5/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*C*x*a^2*d*e^4+7/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*A*x*c^2*d^3*e^2+1/2/(a*e^2+c*d^2)^3/(c*x^2+a)^2*A*x^2*a*c*e^5+1/2/(a*e^2+c*d^2)^3/(c*x^2+a)^2*A*x^2*c^2*d^2*e^3-1/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c*d^3*e^2*B*a+1/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c*C*a*d^4*e+3/8/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^4/a^2*x^3*A*d^5+3/8/(a*e^2+c*d^2)^3/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^3*d^5+3/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*A*e^5*a^2-1/4/(a*e^2+c*d^2)^3/(c*x^2+a)^2*c^2*d^5*B+1/2/(a*e^2+c*d^2)^3*ln(c*x^2+a)*d*e^4*B-1/2/(a*e^2+c*d^2)^3*ln(c*x^2+a)*C*d^2*e^3-e^4/(a*e^2+c*d^2)^3*ln(e*x+d)*B*d+e^3/(a*e^2+c*d^2)^3*ln(e*x+d)*C*d^2","B"
62,1,2159,554,0.031000," ","int((C*x^2+B*x+A)/(e*x+d)^2/(c*x^2+a)^3,x)","-\frac{7 A a \,c^{2} e^{6} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{15 A \,c^{4} d^{4} e^{2} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2} a}+\frac{3 A \,c^{5} d^{6} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2} a^{2}}+\frac{5 A \,c^{3} d^{2} e^{4} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{7 B a \,c^{2} d \,e^{5} x^{3}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{B \,c^{4} d^{5} e \,x^{3}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2} a}+\frac{3 B \,c^{3} d^{3} e^{3} x^{3}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{3 C \,a^{2} c \,e^{6} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{9 C a \,c^{2} d^{2} e^{4} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{C \,c^{4} d^{6} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2} a}-\frac{11 C \,c^{3} d^{4} e^{2} x^{3}}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{2 A a \,c^{2} d \,e^{5} x^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{2 A \,c^{3} d^{3} e^{3} x^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{B \,a^{2} c \,e^{6} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{B a \,c^{2} d^{2} e^{4} x^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{3 B \,c^{3} d^{4} e^{2} x^{2}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{C \,a^{2} c d \,e^{5} x^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{C \,c^{3} d^{5} e \,x^{2}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{9 A \,a^{2} c \,e^{6} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{3 A a \,c^{2} d^{2} e^{4} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{5 A \,c^{4} d^{6} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2} a}+\frac{17 A \,c^{3} d^{4} e^{2} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{9 B \,a^{2} c d \,e^{5} x}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{5 B a \,c^{2} d^{3} e^{3} x}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{B \,c^{3} d^{5} e x}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{5 C \,a^{3} e^{6} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{7 C \,a^{2} c \,d^{2} e^{4} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{13 C a \,c^{2} d^{4} e^{2} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{C \,c^{3} d^{6} x}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{5 A \,a^{2} c d \,e^{5}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{3 A a \,c^{2} d^{3} e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{15 A a c \,e^{6} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{15 A \,c^{3} d^{4} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}\, a}+\frac{3 A \,c^{4} d^{6} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}\, a^{2}}+\frac{A \,c^{3} d^{5} e}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{45 A \,c^{2} d^{2} e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{3 B \,a^{3} e^{6}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{3 B \,a^{2} c \,d^{2} e^{4}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{7 B a \,c^{2} d^{4} e^{2}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{15 B a c d \,e^{5} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}-\frac{B \,c^{3} d^{5} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}\, a}-\frac{B \,c^{3} d^{6}}{4 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{5 B \,c^{2} d^{3} e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}-\frac{3 C \,a^{3} d \,e^{5}}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{C \,a^{2} c \,d^{3} e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}+\frac{3 C \,a^{2} e^{6} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{C a \,c^{2} d^{5} e}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4} \left(c \,x^{2}+a \right)^{2}}-\frac{33 C a c \,d^{2} e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}+\frac{C \,c^{3} d^{6} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}\, a}+\frac{13 C \,c^{2} d^{4} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \left(a \,e^{2}+c \,d^{2}\right)^{4} \sqrt{a c}}-\frac{3 A c d \,e^{5} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{6 A c d \,e^{5} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{B a \,e^{6} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{B a \,e^{6} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{5 B c \,d^{2} e^{4} \ln \left(c \,x^{2}+a \right)}{2 \left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{5 B c \,d^{2} e^{4} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{C a d \,e^{5} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{2 C a d \,e^{5} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{2 C c \,d^{3} e^{3} \ln \left(c \,x^{2}+a \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}+\frac{4 C c \,d^{3} e^{3} \ln \left(e x +d \right)}{\left(a \,e^{2}+c \,d^{2}\right)^{4}}-\frac{A \,e^{5}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(e x +d \right)}+\frac{B d \,e^{4}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(e x +d \right)}-\frac{C \,d^{2} e^{3}}{\left(a \,e^{2}+c \,d^{2}\right)^{3} \left(e x +d \right)}"," ",0,"-3/(a*e^2+c*d^2)^4*c*ln(c*x^2+a)*d*A*e^5+1/(a*e^2+c*d^2)^4*a*ln(c*x^2+a)*C*d*e^5+3/8/(a*e^2+c*d^2)^4*a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*e^6-3/2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*a^3*d*e^5+1/2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*c^3*d^5*e+5/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*a^3*C*e^6*x-1/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*c^3*d^6*x+5/2/(a*e^2+c*d^2)^4*c*ln(c*x^2+a)*d^2*e^4*B-2/(a*e^2+c*d^2)^4*c*ln(c*x^2+a)*C*d^3*e^3+6*e^5/(a*e^2+c*d^2)^4*ln(e*x+d)*A*c*d-5*e^4/(a*e^2+c*d^2)^4*ln(e*x+d)*B*c*d^2-2*e^5/(a*e^2+c*d^2)^4*ln(e*x+d)*C*a*d+4*e^3/(a*e^2+c*d^2)^4*ln(e*x+d)*C*c*d^3-e^5/(a*e^2+c*d^2)^3/(e*x+d)*A-7/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*a^2*c*d^2*e^4*x-13/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*a*c^2*d^4*e^2*x+7/4/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*x^3*a*c^2*d*e^5-9/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*x^3*a*c^2*d^2*e^4+2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*x^2*a*c^2*d*e^5-1/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*x^2*a*c^2*d^2*e^4-1/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*x^2*a^2*c*d*e^5+15/8/(a*e^2+c*d^2)^4/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^3*d^4*e^2+15/4/(a*e^2+c*d^2)^4*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c*d*e^5-1/4/(a*e^2+c*d^2)^4/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c^3*d^5*e-33/8/(a*e^2+c*d^2)^4*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*c*d^2*e^4+15/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*c^4/a*x^3*A*d^4*e^2-1/4/(a*e^2+c*d^2)^4/(c*x^2+a)^2*c^4/a*x^3*B*d^5*e+3/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*a*c^2*d^2*e^4*x+9/4/(a*e^2+c*d^2)^4/(c*x^2+a)^2*d*a^2*c*B*e^5*x+5/2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*a*c^2*d^3*e^3*x+e^6/(a*e^2+c*d^2)^4*ln(e*x+d)*B*a+e^4/(a*e^2+c*d^2)^3/(e*x+d)*B*d-e^3/(a*e^2+c*d^2)^3/(e*x+d)*C*d^2+3/4/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*a^3*e^6-1/4/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*c^3*d^6-1/2/(a*e^2+c*d^2)^4*a*ln(c*x^2+a)*e^6*B+45/8/(a*e^2+c*d^2)^4/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^2*d^2*e^4-5/2/(a*e^2+c*d^2)^4/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*c^2*d^3*e^3+13/8/(a*e^2+c*d^2)^4/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*c^2*d^4*e^2+3/2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*x^3*c^3*d^3*e^3-11/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*x^3*c^3*d^4*e^2+2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*x^2*c^3*d^3*e^3+1/2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*x^2*a^2*c*e^6-3/2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*x^2*c^3*d^4*e^2+1/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*x^2*c^3*d^5*e-9/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*a^2*c*e^6*x+17/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*c^3*d^4*e^2*x+1/4/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*c^3*d^5*e*x+3/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*x^3*a^2*c*e^6-7/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*x^3*a*c^2*e^6+5/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*x^3*c^3*d^2*e^4+5/2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*a^2*c*d*e^5+3/(a*e^2+c*d^2)^4/(c*x^2+a)^2*A*a*c^2*d^3*e^3-3/4/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*a^2*c*d^2*e^4-7/4/(a*e^2+c*d^2)^4/(c*x^2+a)^2*B*a*c^2*d^4*e^2-1/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*a^2*c*d^3*e^3+1/2/(a*e^2+c*d^2)^4/(c*x^2+a)^2*C*a*c^2*d^5*e+3/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*c^5/a^2*x^3*A*d^6+1/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2*c^4/a*x^3*C*d^6+5/8/(a*e^2+c*d^2)^4/(c*x^2+a)^2/a*x*A*c^4*d^6-15/8/(a*e^2+c*d^2)^4*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c*e^6+3/8/(a*e^2+c*d^2)^4/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*c^4*d^6+1/8/(a*e^2+c*d^2)^4/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*c^3*d^6","B"
63,1,2737,735,0.037000," ","int((C*x^2+B*x+A)/(e*x+d)^3/(c*x^2+a)^3,x)","\text{Expression too large to display}"," ",0,"15/2/(a*e^2+c*d^2)^5*c^2*ln(c*x^2+a)*d^3*e^4*B-5/(a*e^2+c*d^2)^5*c^2*ln(c*x^2+a)*C*d^4*e^3+3/2/(a*e^2+c*d^2)^5*c*a*ln(c*x^2+a)*A*e^7+2*e^5/(a*e^2+c*d^2)^4/(e*x+d)*C*a*d-4*e^3/(a*e^2+c*d^2)^4/(e*x+d)*C*c*d^3-3*e^7/(a*e^2+c*d^2)^5*ln(e*x+d)*A*a*c+21*e^5/(a*e^2+c*d^2)^5*ln(e*x+d)*A*c^2*d^2-15*e^4/(a*e^2+c*d^2)^5*ln(e*x+d)*B*c^2*d^3+10*e^3/(a*e^2+c*d^2)^5*ln(e*x+d)*C*c^2*d^4-6*e^5/(a*e^2+c*d^2)^4/(e*x+d)*A*c*d+5*e^4/(a*e^2+c*d^2)^4/(e*x+d)*B*c*d^2-5/4/(a*e^2+c*d^2)^5*c/(c*x^2+a)^2*A*e^7*a^3+3/4/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*A*d^6*e-1/8/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*C*x*d^7-21/2/(a*e^2+c*d^2)^5*c^2*ln(c*x^2+a)*A*d^2*e^5-1/2*e^5/(a*e^2+c*d^2)^3/(e*x+d)^2*A-7/2/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*C*x^2*a^2*d^2*e^5-5/2/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*C*x^2*a*d^4*e^3+21/8/(a*e^2+c*d^2)^5*c^5/(c*x^2+a)^2/a*x^3*A*d^5*e^2-3/8/(a*e^2+c*d^2)^5*c^5/(c*x^2+a)^2/a*x^3*B*d^6*e+31/8/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*B*x^3*a*d^2*e^5-39/8/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*A*x*a^2*d*e^6-25/8/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*A*x*a*d^3*e^4+33/8/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*B*x*a^2*d^2*e^5+45/8/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*B*x*a*d^4*e^3+5/8/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*C*x*a^2*d^3*e^4-23/8/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*C*x*a*d^5*e^2-105/8/(a*e^2+c*d^2)^5*c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d*e^6+21/8/(a*e^2+c*d^2)^5*c^4/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^5*e^2+135/8/(a*e^2+c*d^2)^5*c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^2*e^5-3/8/(a*e^2+c*d^2)^5*c^4/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^6*e-125/8/(a*e^2+c*d^2)^5*c^2*a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^3*e^4+45/8/(a*e^2+c*d^2)^5*c*a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d*e^6+27/8/(a*e^2+c*d^2)^5*c/(c*x^2+a)^2*C*x*a^3*d*e^6-33/8/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*A*x^3*a*d*e^6+21/8/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*C*x^3*a^2*d*e^6-5/8/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*C*x^3*a*d^3*e^4+4/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*A*x^2*a*d^2*e^5+3/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*B*x^2*a^2*d*e^6-1/2/(a*e^2+c*d^2)^5*a^2*ln(c*x^2+a)*C*e^7-e^6/(a*e^2+c*d^2)^4/(e*x+d)*B*a+1/2*e^4/(a*e^2+c*d^2)^3/(e*x+d)^2*B*d-1/2*e^3/(a*e^2+c*d^2)^3/(e*x+d)^2*C*d^2+e^7/(a*e^2+c*d^2)^5*ln(e*x+d)*a^2*C+3/4/(a*e^2+c*d^2)^5/(c*x^2+a)^2*C*a^4*e^7-1/4/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*d^7*B-15/8/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*A*x^3*d^3*e^4+35/8/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*B*x^3*d^4*e^3-25/8/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*C*x^3*d^5*e^2-1/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*A*x^2*a^2*e^7+5/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*A*x^2*d^4*e^3-3/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*B*x^2*d^5*e^2+3/2/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*C*x^2*d^6*e-7/8/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*B*x^3*a^2*e^7+3/8/(a*e^2+c*d^2)^5*c^6/(c*x^2+a)^2/a^2*x^3*A*d^7+1/8/(a*e^2+c*d^2)^5*c^5/(c*x^2+a)^2/a*x^3*C*d^7+5/8/(a*e^2+c*d^2)^5*c^5/(c*x^2+a)^2/a*x*A*d^7+17/4/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*A*d^2*e^5*a^2+25/4/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*A*d^4*e^3*a+5/4/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*d^3*e^4*B*a^2-11/4/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*d^5*e^2*B*a-15/4/(a*e^2+c*d^2)^5*c^2/(c*x^2+a)^2*C*a^2*d^4*e^3+3/4/(a*e^2+c*d^2)^5*c^3/(c*x^2+a)^2*C*a*d^6*e+9*e^6/(a*e^2+c*d^2)^5*ln(e*x+d)*B*a*c*d-13*e^5/(a*e^2+c*d^2)^5*ln(e*x+d)*C*a*c*d^2+1/2/(a*e^2+c*d^2)^5*c/(c*x^2+a)^2*C*x^2*a^3*e^7-9/8/(a*e^2+c*d^2)^5*c/(c*x^2+a)^2*B*x*a^3*e^7+15/4/(a*e^2+c*d^2)^5*c/(c*x^2+a)^2*d*e^6*B*a^3-15/4/(a*e^2+c*d^2)^5*c/(c*x^2+a)^2*C*a^3*d^2*e^5+1/8/(a*e^2+c*d^2)^5*c^4/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^7-9/2/(a*e^2+c*d^2)^5*c*a*ln(c*x^2+a)*d*e^6*B+13/2/(a*e^2+c*d^2)^5*c*a*ln(c*x^2+a)*C*d^2*e^5-15/8/(a*e^2+c*d^2)^5*c*a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^7+105/8/(a*e^2+c*d^2)^5*c^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3*e^4-45/8/(a*e^2+c*d^2)^5*c^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^4*e^3+23/8/(a*e^2+c*d^2)^5*c^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^5*e^2+3/8/(a*e^2+c*d^2)^5*c^5/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^7+19/8/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*A*x*d^5*e^2+3/8/(a*e^2+c*d^2)^5*c^4/(c*x^2+a)^2*B*x*d^6*e","B"
64,1,647,218,0.013000," ","int((e*x+d)^4*(C*x^2+B*x+A)/(c*x^2+a)^4,x)","\frac{A \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a \,c^{2}}+\frac{3 A \,d^{2} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2} c}+\frac{5 A \,d^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{3}}+\frac{B d \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, a \,c^{2}}+\frac{B \,d^{3} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{4 \sqrt{a c}\, a^{2} c}+\frac{3 C \,d^{2} e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a \,c^{2}}+\frac{C \,d^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{2} c}+\frac{5 C \,e^{4} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, c^{3}}+\frac{-\frac{\left(B e +4 C d \right) e^{3} x^{4}}{2 c}+\frac{\left(A \,a^{2} c \,e^{4}+6 A a \,c^{2} d^{2} e^{2}+5 A \,c^{3} d^{4}+4 B \,a^{2} c d \,e^{3}+4 B a \,c^{2} d^{3} e -11 a^{3} C \,e^{4}+6 C \,a^{2} c \,d^{2} e^{2}+C a \,c^{2} d^{4}\right) x^{5}}{16 a^{3} c}-\frac{\left(2 A c d \,e^{2}+B a \,e^{3}+3 B c \,d^{2} e +4 C a d \,e^{2}+2 C c \,d^{3}\right) e \,x^{2}}{2 c^{2}}-\frac{\left(A \,a^{2} c \,e^{4}-6 A a \,c^{2} d^{2} e^{2}-5 A \,c^{3} d^{4}+4 B \,a^{2} c d \,e^{3}-4 B a \,c^{2} d^{3} e +5 a^{3} C \,e^{4}+6 C \,a^{2} c \,d^{2} e^{2}-C a \,c^{2} d^{4}\right) x^{3}}{6 a^{2} c^{2}}-\frac{\left(A \,a^{2} c \,e^{4}+6 A a \,c^{2} d^{2} e^{2}-11 A \,c^{3} d^{4}+4 B \,a^{2} c d \,e^{3}+4 B a \,c^{2} d^{3} e +5 a^{3} C \,e^{4}+6 C \,a^{2} c \,d^{2} e^{2}+C a \,c^{2} d^{4}\right) x}{16 a \,c^{3}}-\frac{2 A a c d \,e^{3}+4 A \,c^{2} d^{3} e +B \,a^{2} e^{4}+3 B a c \,d^{2} e^{2}+B \,c^{2} d^{4}+4 C \,a^{2} d \,e^{3}+2 C a c \,d^{3} e}{6 c^{3}}}{\left(c \,x^{2}+a \right)^{3}}"," ",0,"(1/16*(A*a^2*c*e^4+6*A*a*c^2*d^2*e^2+5*A*c^3*d^4+4*B*a^2*c*d*e^3+4*B*a*c^2*d^3*e-11*C*a^3*e^4+6*C*a^2*c*d^2*e^2+C*a*c^2*d^4)/a^3/c*x^5-1/2*e^3*(B*e+4*C*d)/c*x^4-1/6*(A*a^2*c*e^4-6*A*a*c^2*d^2*e^2-5*A*c^3*d^4+4*B*a^2*c*d*e^3-4*B*a*c^2*d^3*e+5*C*a^3*e^4+6*C*a^2*c*d^2*e^2-C*a*c^2*d^4)/a^2/c^2*x^3-1/2*e*(2*A*c*d*e^2+B*a*e^3+3*B*c*d^2*e+4*C*a*d*e^2+2*C*c*d^3)/c^2*x^2-1/16*(A*a^2*c*e^4+6*A*a*c^2*d^2*e^2-11*A*c^3*d^4+4*B*a^2*c*d*e^3+4*B*a*c^2*d^3*e+5*C*a^3*e^4+6*C*a^2*c*d^2*e^2+C*a*c^2*d^4)/a/c^3*x-1/6*(2*A*a*c*d*e^3+4*A*c^2*d^3*e+B*a^2*e^4+3*B*a*c*d^2*e^2+B*c^2*d^4+4*C*a^2*d*e^3+2*C*a*c*d^3*e)/c^3)/(c*x^2+a)^3+1/16/a/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*e^4+3/8/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2*e^2+5/16/a^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^4+1/4/a/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d*e^3+1/4/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^3*e+5/16/c^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*e^4+3/8/a/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^2*e^2+1/16/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^4","B"
65,1,464,238,0.011000," ","int((e*x+d)^3*(C*x^2+B*x+A)/(c*x^2+a)^4,x)","\frac{3 A d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{2} c}+\frac{5 A \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{3}}+\frac{B \,e^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a \,c^{2}}+\frac{3 B \,d^{2} e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{2} c}+\frac{3 C d \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a \,c^{2}}+\frac{C \,d^{3} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{2} c}+\frac{-\frac{C \,e^{3} x^{4}}{2 c}+\frac{\left(3 A a c d \,e^{2}+5 A \,c^{2} d^{3}+B \,a^{2} e^{3}+3 B a c \,d^{2} e +3 C \,a^{2} d \,e^{2}+C a c \,d^{3}\right) x^{5}}{16 a^{3}}-\frac{\left(A c \,e^{2}+3 B c d e +2 a C \,e^{2}+3 C c \,d^{2}\right) e \,x^{2}}{4 c^{2}}+\frac{\left(3 A a c d \,e^{2}+5 A \,c^{2} d^{3}-B \,a^{2} e^{3}+3 B a c \,d^{2} e -3 C \,a^{2} d \,e^{2}+C a c \,d^{3}\right) x^{3}}{6 a^{2} c}-\frac{\left(3 A a c d \,e^{2}-11 A \,c^{2} d^{3}+B \,a^{2} e^{3}+3 B a c \,d^{2} e +3 C \,a^{2} d \,e^{2}+C a c \,d^{3}\right) x}{16 a \,c^{2}}-\frac{A c \,e^{3} a +6 A \,c^{2} d^{2} e +3 B c d \,e^{2} a +2 d^{3} c^{2} B +2 C \,a^{2} e^{3}+3 C a c \,d^{2} e}{12 c^{3}}}{\left(c \,x^{2}+a \right)^{3}}"," ",0,"(1/16*(3*A*a*c*d*e^2+5*A*c^2*d^3+B*a^2*e^3+3*B*a*c*d^2*e+3*C*a^2*d*e^2+C*a*c*d^3)/a^3*x^5-1/2*C/c*e^3*x^4+1/6*(3*A*a*c*d*e^2+5*A*c^2*d^3-B*a^2*e^3+3*B*a*c*d^2*e-3*C*a^2*d*e^2+C*a*c*d^3)/a^2/c*x^3-1/4*e*(A*c*e^2+3*B*c*d*e+2*C*a*e^2+3*C*c*d^2)/c^2*x^2-1/16*(3*A*a*c*d*e^2-11*A*c^2*d^3+B*a^2*e^3+3*B*a*c*d^2*e+3*C*a^2*d*e^2+C*a*c*d^3)/a/c^2*x-1/12*(A*a*c*e^3+6*A*c^2*d^2*e+3*B*a*c*d*e^2+2*B*c^2*d^3+2*C*a^2*e^3+3*C*a*c*d^2*e)/c^3)/(c*x^2+a)^3+3/16/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d*e^2+5/16/a^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^3+1/16/a/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e^3+3/16/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d^2*e+3/16/a/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d*e^2+1/16/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^3","A"
66,1,333,210,0.012000," ","int((e*x+d)^2*(C*x^2+B*x+A)/(c*x^2+a)^4,x)","\frac{A \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{2} c}+\frac{5 A \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{3}}+\frac{B d e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2} c}+\frac{C \,e^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a \,c^{2}}+\frac{C \,d^{2} \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{2} c}+\frac{\frac{\left(A a c \,e^{2}+5 A \,c^{2} d^{2}+2 B a c d e +a^{2} C \,e^{2}+C a c \,d^{2}\right) x^{5}}{16 a^{3}}-\frac{\left(B e +2 C d \right) e \,x^{2}}{4 c}+\frac{\left(A a c \,e^{2}+5 A \,c^{2} d^{2}+2 B a c d e -a^{2} C \,e^{2}+C a c \,d^{2}\right) x^{3}}{6 a^{2} c}-\frac{\left(A a c \,e^{2}-11 A \,c^{2} d^{2}+2 B a c d e +a^{2} C \,e^{2}+C a c \,d^{2}\right) x}{16 a \,c^{2}}-\frac{4 A c d e +B a \,e^{2}+2 B c \,d^{2}+2 C a d e}{12 c^{2}}}{\left(c \,x^{2}+a \right)^{3}}"," ",0,"(1/16*(A*a*c*e^2+5*A*c^2*d^2+2*B*a*c*d*e+C*a^2*e^2+C*a*c*d^2)/a^3*x^5+1/6*(A*a*c*e^2+5*A*c^2*d^2+2*B*a*c*d*e-C*a^2*e^2+C*a*c*d^2)/a^2/c*x^3-1/4*(B*e+2*C*d)/c*e*x^2-1/16*(A*a*c*e^2-11*A*c^2*d^2+2*B*a*c*d*e+C*a^2*e^2+C*a*c*d^2)/a/c^2*x-1/12*(4*A*c*d*e+B*a*e^2+2*B*c*d^2+2*C*a*d*e)/c^2)/(c*x^2+a)^3+1/16/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*e^2+5/16/a^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d^2+1/8/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*d*e+1/16/a/c^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*e^2+1/16/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d^2","A"
67,1,182,148,0.010000," ","int((e*x+d)*(C*x^2+B*x+A)/(c*x^2+a)^4,x)","\frac{5 A d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{3}}+\frac{B e \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{2} c}+\frac{C d \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{2} c}+\frac{-\frac{C e \,x^{2}}{4 c}+\frac{\left(5 A c d +B a e +C a d \right) c \,x^{5}}{16 a^{3}}+\frac{\left(5 A c d +B a e +C a d \right) x^{3}}{6 a^{2}}+\frac{\left(11 A c d -B a e -C a d \right) x}{16 a c}-\frac{2 A c e +2 B c d +a C e}{12 c^{2}}}{\left(c \,x^{2}+a \right)^{3}}"," ",0,"(1/16*(5*A*c*d+B*a*e+C*a*d)/a^3*c*x^5+1/6/a^2*(5*A*c*d+B*a*e+C*a*d)*x^3-1/4*C/c*e*x^2+1/16*(11*A*c*d-B*a*e-C*a*d)/a/c*x-1/12*(2*A*c*e+2*B*c*d+C*a*e)/c^2)/(c*x^2+a)^3+5/16/a^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A*d+1/16/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*B*e+1/16/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C*d","A"
68,1,113,110,0.010000," ","int((C*x^2+B*x+A)/(c*x^2+a)^4,x)","\frac{5 A \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{3}}+\frac{C \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{16 \sqrt{a c}\, a^{2} c}+\frac{\frac{\left(5 A c +a C \right) c \,x^{5}}{16 a^{3}}+\frac{\left(5 A c +a C \right) x^{3}}{6 a^{2}}-\frac{B}{6 c}+\frac{\left(11 A c -a C \right) x}{16 a c}}{\left(c \,x^{2}+a \right)^{3}}"," ",0,"(1/16*(5*A*c+C*a)/a^3*c*x^5+1/6/a^2*(5*A*c+C*a)*x^3+1/16*(11*A*c-C*a)/a/c*x-1/6*B/c)/(c*x^2+a)^3+5/16/a^3/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*A+1/16/a^2/c/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)*C","A"
69,1,30,33,0.008000," ","int(x^3*(x^2+x+1)/(x^2+1)^2,x)","\frac{x^{2}}{2}+x +\frac{x}{2 x^{2}+2}-\frac{3 \arctan \left(x \right)}{2}-\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"1/2*x^2+x+1/2*x/(x^2+1)-1/2*ln(x^2+1)-3/2*arctan(x)","A"
70,1,24,26,0.008000," ","int(x^2*(x^2+x+1)/(x^2+1)^2,x)","x -\arctan \left(x \right)+\frac{\ln \left(x^{2}+1\right)}{2}+\frac{1}{2 x^{2}+2}"," ",0,"x+1/2/(x^2+1)+1/2*ln(x^2+1)-arctan(x)","A"
71,1,24,23,0.005000," ","int(x*(x^2+x+1)/(x^2+1)^2,x)","-\frac{x}{2 \left(x^{2}+1\right)}+\frac{\arctan \left(x \right)}{2}+\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"-1/2/(x^2+1)*x+1/2*arctan(x)+1/2*ln(x^2+1)","A"
72,1,13,12,0.005000," ","int((x^2+x+1)/(x^2+1)^2,x)","\arctan \left(x \right)-\frac{1}{2 \left(x^{2}+1\right)}"," ",0,"-1/2/(x^2+1)+arctan(x)","A"
73,1,26,25,0.008000," ","int((x^2+x+1)/x/(x^2+1)^2,x)","\frac{x}{2 x^{2}+2}+\frac{\arctan \left(x \right)}{2}+\ln \left(x \right)-\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"1/2/(x^2+1)*x+1/2*arctan(x)+ln(x)-1/2*ln(x^2+1)","A"
74,1,30,29,0.009000," ","int((x^2+x+1)/x^2/(x^2+1)^2,x)","-\arctan \left(x \right)+\ln \left(x \right)-\frac{\ln \left(x^{2}+1\right)}{2}-\frac{1}{x}+\frac{1}{2 x^{2}+2}"," ",0,"-1/x+1/2/(x^2+1)-arctan(x)+ln(x)-1/2*ln(x^2+1)","A"
75,1,38,37,0.010000," ","int((x^2+x+1)/x^3/(x^2+1)^2,x)","-\frac{x}{2 \left(x^{2}+1\right)}-\frac{3 \arctan \left(x \right)}{2}-\ln \left(x \right)+\frac{\ln \left(x^{2}+1\right)}{2}-\frac{1}{x}-\frac{1}{2 x^{2}}"," ",0,"-1/2/x^2-1/x-1/2/(x^2+1)*x-3/2*arctan(x)-ln(x)+1/2*ln(x^2+1)","A"
76,1,13,12,0.004000," ","int((x^2+2*x+1)/(x^2+1)^2,x)","\arctan \left(x \right)-\frac{1}{x^{2}+1}"," ",0,"-1/(x^2+1)+arctan(x)","A"
77,1,21,21,0.006000," ","int((3*x^2+12*x+2)/(x^2+4)^2,x)","\frac{7 \arctan \left(\frac{x}{2}\right)}{8}+\frac{-\frac{5 x}{4}-6}{x^{2}+4}"," ",0,"(-5/4*x-6)/(x^2+4)+7/8*arctan(1/2*x)","A"
78,1,661,359,0.018000," ","int((h*x+g)^3*(f*x^2+e*x+d)*(c*x^2+a)^(1/2),x)","\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} f \,h^{3} x^{4}}{7 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} e \,h^{3} x^{3}}{6 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} f g \,h^{2} x^{3}}{2 c}+\frac{a^{3} e \,h^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{5}{2}}}+\frac{3 a^{3} f g \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{5}{2}}}-\frac{3 a^{2} d g \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}-\frac{3 a^{2} e \,g^{2} h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}-\frac{a^{2} f \,g^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}+\frac{a d \,g^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 \sqrt{c}}+\frac{\sqrt{c \,x^{2}+a}\, a^{2} e \,h^{3} x}{16 c^{2}}+\frac{3 \sqrt{c \,x^{2}+a}\, a^{2} f g \,h^{2} x}{16 c^{2}}-\frac{3 \sqrt{c \,x^{2}+a}\, a d g \,h^{2} x}{8 c}-\frac{3 \sqrt{c \,x^{2}+a}\, a e \,g^{2} h x}{8 c}-\frac{\sqrt{c \,x^{2}+a}\, a f \,g^{3} x}{8 c}-\frac{4 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a f \,h^{3} x^{2}}{35 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} d \,h^{3} x^{2}}{5 c}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} e g \,h^{2} x^{2}}{5 c}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} f \,g^{2} h \,x^{2}}{5 c}+\frac{\sqrt{c \,x^{2}+a}\, d \,g^{3} x}{2}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a e \,h^{3} x}{8 c^{2}}-\frac{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a f g \,h^{2} x}{8 c^{2}}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} d g \,h^{2} x}{4 c}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} e \,g^{2} h x}{4 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} f \,g^{3} x}{4 c}+\frac{8 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2} f \,h^{3}}{105 c^{3}}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a d \,h^{3}}{15 c^{2}}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a e g \,h^{2}}{5 c^{2}}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a f \,g^{2} h}{5 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} d \,g^{2} h}{c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} e \,g^{3}}{3 c}"," ",0,"1/3*(c*x^2+a)^(3/2)/c*e*g^3+1/2*d*g^3*x*(c*x^2+a)^(1/2)+3/5*x^2*(c*x^2+a)^(3/2)/c*e*g*h^2-2/5*a/c^2*(c*x^2+a)^(3/2)*f*g^2*h+3/5*x^2*(c*x^2+a)^(3/2)/c*f*g^2*h-2/5*a/c^2*(c*x^2+a)^(3/2)*e*g*h^2+3/4*x*(c*x^2+a)^(3/2)/c*d*g*h^2+3/4*x*(c*x^2+a)^(3/2)/c*e*g^2*h-1/8*a/c*x*(c*x^2+a)^(1/2)*f*g^3-3/8*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*g^2*h-4/35*f*h^3*a/c^2*x^2*(c*x^2+a)^(3/2)+1/2*x^3*(c*x^2+a)^(3/2)/c*f*g*h^2-1/8*a/c^2*x*(c*x^2+a)^(3/2)*e*h^3+1/16*a^2/c^2*x*(c*x^2+a)^(1/2)*e*h^3+3/16*a^3/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g*h^2-3/8*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*d*g*h^2-3/8*a/c^2*x*(c*x^2+a)^(3/2)*f*g*h^2-3/8*a/c*x*(c*x^2+a)^(1/2)*e*g^2*h+3/16*a^2/c^2*x*(c*x^2+a)^(1/2)*f*g*h^2-3/8*a/c*x*(c*x^2+a)^(1/2)*d*g*h^2+1/6*x^3*(c*x^2+a)^(3/2)/c*e*h^3+1/16*a^3/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*h^3+1/5*x^2*(c*x^2+a)^(3/2)/c*d*h^3-2/15*a/c^2*(c*x^2+a)^(3/2)*d*h^3+1/4*x*(c*x^2+a)^(3/2)/c*f*g^3-1/8*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g^3+1/7*f*h^3*x^4*(c*x^2+a)^(3/2)/c+8/105*f*h^3*a^2/c^3*(c*x^2+a)^(3/2)+(c*x^2+a)^(3/2)/c*d*g^2*h+1/2*d*g^3*a/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
79,1,446,254,0.009000," ","int((h*x+g)^2*(f*x^2+e*x+d)*(c*x^2+a)^(1/2),x)","\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} f \,h^{2} x^{3}}{6 c}+\frac{a^{3} f \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{5}{2}}}-\frac{a^{2} d \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}-\frac{a^{2} e g h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{4 c^{\frac{3}{2}}}-\frac{a^{2} f \,g^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}+\frac{a d \,g^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 \sqrt{c}}+\frac{\sqrt{c \,x^{2}+a}\, a^{2} f \,h^{2} x}{16 c^{2}}-\frac{\sqrt{c \,x^{2}+a}\, a d \,h^{2} x}{8 c}-\frac{\sqrt{c \,x^{2}+a}\, a e g h x}{4 c}-\frac{\sqrt{c \,x^{2}+a}\, a f \,g^{2} x}{8 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} e \,h^{2} x^{2}}{5 c}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} f g h \,x^{2}}{5 c}+\frac{\sqrt{c \,x^{2}+a}\, d \,g^{2} x}{2}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a f \,h^{2} x}{8 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} d \,h^{2} x}{4 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} e g h x}{2 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} f \,g^{2} x}{4 c}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a e \,h^{2}}{15 c^{2}}-\frac{4 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a f g h}{15 c^{2}}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} d g h}{3 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} e \,g^{2}}{3 c}"," ",0,"1/6*f*h^2*x^3*(c*x^2+a)^(3/2)/c-1/8*f*h^2*a/c^2*x*(c*x^2+a)^(3/2)+1/16*f*h^2*a^2/c^2*x*(c*x^2+a)^(1/2)+1/16*f*h^2*a^3/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/5*x^2*(c*x^2+a)^(3/2)/c*e*h^2+2/5*x^2*(c*x^2+a)^(3/2)/c*f*g*h-2/15*a/c^2*(c*x^2+a)^(3/2)*e*h^2-4/15*a/c^2*(c*x^2+a)^(3/2)*f*g*h+1/4*x*(c*x^2+a)^(3/2)/c*d*h^2+1/2*x*(c*x^2+a)^(3/2)/c*e*g*h+1/4*x*(c*x^2+a)^(3/2)/c*f*g^2-1/8*a/c*x*(c*x^2+a)^(1/2)*d*h^2-1/4*a/c*x*(c*x^2+a)^(1/2)*e*g*h-1/8*a/c*x*(c*x^2+a)^(1/2)*f*g^2-1/8*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*d*h^2-1/4*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*g*h-1/8*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g^2+2/3*(c*x^2+a)^(3/2)/c*d*g*h+1/3*(c*x^2+a)^(3/2)/c*e*g^2+1/2*d*g^2*x*(c*x^2+a)^(1/2)+1/2*d*g^2*a/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
80,1,230,153,0.007000," ","int((h*x+g)*(f*x^2+e*x+d)*(c*x^2+a)^(1/2),x)","-\frac{a^{2} e h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}-\frac{a^{2} f g \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}+\frac{a d g \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 \sqrt{c}}-\frac{\sqrt{c \,x^{2}+a}\, a e h x}{8 c}-\frac{\sqrt{c \,x^{2}+a}\, a f g x}{8 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} f h \,x^{2}}{5 c}+\frac{\sqrt{c \,x^{2}+a}\, d g x}{2}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} e h x}{4 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} f g x}{4 c}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a f h}{15 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} d h}{3 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} e g}{3 c}"," ",0,"1/5*h*f*x^2*(c*x^2+a)^(3/2)/c-2/15*h*f*a/c^2*(c*x^2+a)^(3/2)+1/4*x*(c*x^2+a)^(3/2)/c*e*h+1/4*x*(c*x^2+a)^(3/2)/c*f*g-1/8*a/c*x*(c*x^2+a)^(1/2)*e*h-1/8*a/c*x*(c*x^2+a)^(1/2)*f*g-1/8*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*h-1/8*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g+1/3*(c*x^2+a)^(3/2)/c*d*h+1/3*(c*x^2+a)^(3/2)/c*e*g+1/2*d*g*x*(c*x^2+a)^(1/2)+1/2*d*g*a/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
81,1,111,86,0.005000," ","int((f*x^2+e*x+d)*(c*x^2+a)^(1/2),x)","-\frac{a^{2} f \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}+\frac{a d \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 \sqrt{c}}-\frac{\sqrt{c \,x^{2}+a}\, a f x}{8 c}+\frac{\sqrt{c \,x^{2}+a}\, d x}{2}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} f x}{4 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} e}{3 c}"," ",0,"1/4*f*x*(c*x^2+a)^(3/2)/c-1/8*f*a/c*x*(c*x^2+a)^(1/2)-1/8*f*a^2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/3*e*(c*x^2+a)^(3/2)/c+1/2*d*x*(c*x^2+a)^(1/2)+1/2*d*a/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
82,1,1265,183,0.018000," ","int((f*x^2+e*x+d)*(c*x^2+a)^(1/2)/(h*x+g),x)","-\frac{a d \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{a e g \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{a f \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}-\frac{c d \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}+\frac{c e \,g^{3} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{4}}-\frac{c f \,g^{4} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{5}}+\frac{a e \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 \sqrt{c}\, h}-\frac{a f g \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 \sqrt{c}\, h^{2}}-\frac{\sqrt{c}\, d g \ln \left(\frac{-\frac{c g}{h}+\left(x +\frac{g}{h}\right) c}{\sqrt{c}}+\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\right)}{h^{2}}+\frac{\sqrt{c}\, e \,g^{2} \ln \left(\frac{-\frac{c g}{h}+\left(x +\frac{g}{h}\right) c}{\sqrt{c}}+\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\right)}{h^{3}}-\frac{\sqrt{c}\, f \,g^{3} \ln \left(\frac{-\frac{c g}{h}+\left(x +\frac{g}{h}\right) c}{\sqrt{c}}+\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\right)}{h^{4}}+\frac{\sqrt{c \,x^{2}+a}\, e x}{2 h}-\frac{\sqrt{c \,x^{2}+a}\, f g x}{2 h^{2}}+\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, d}{h}-\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, e g}{h^{2}}+\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, f \,g^{2}}{h^{3}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} f}{3 c h}"," ",0,"1/3*f*(c*x^2+a)^(3/2)/c/h+1/2/h*e*x*(c*x^2+a)^(1/2)+1/2/h*e*a/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-1/2/h^2*f*g*x*(c*x^2+a)^(1/2)-1/2/h^2*f*g*a/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/h*((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2)*d-1/h^2*((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2)*e*g+1/h^3*((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2)*f*g^2-1/h^2*c^(1/2)*g*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2))*d+1/h^3*c^(1/2)*g^2*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2))*e-1/h^4*c^(1/2)*g^3*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2))*f-1/h/((a*h^2+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2+c*g^2)/h^2-2*c*g/h*(x+g/h)+2*((a*h^2+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*d+1/h^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2+c*g^2)/h^2-2*c*g/h*(x+g/h)+2*((a*h^2+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*e*g-1/h^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2+c*g^2)/h^2-2*c*g/h*(x+g/h)+2*((a*h^2+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*f*g^2-1/h^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2+c*g^2)/h^2-2*c*g/h*(x+g/h)+2*((a*h^2+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^2*d+1/h^4/((a*h^2+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2+c*g^2)/h^2-2*c*g/h*(x+g/h)+2*((a*h^2+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^3*e-1/h^5/((a*h^2+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2+c*g^2)/h^2-2*c*g/h*(x+g/h)+2*((a*h^2+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c-2*c*g/h*(x+g/h)+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^4*f","B"
83,1,2818,287,0.016000," ","int((f*x^2+e*x+d)*(c*x^2+a)^(1/2)/(h*x+g)^2,x)","\text{output too large to display}"," ",0,"1/h/(a*h^2+c*g^2)/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*e*g-1/h^2/(a*h^2+c*g^2)/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*f*g^2-1/h*c*g/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d+1/h^2*c*g^2/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e-1/h^3*c*g^3/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f+1/h^2*c^(3/2)*g^2/(a*h^2+c*g^2)*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*d-1/h^3*c^(3/2)*g^3/(a*h^2+c*g^2)*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*e+1/h^4*c^(3/2)*g^4/(a*h^2+c*g^2)*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*f+2/h^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*f*g-1/h^4/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^2*e+2/h^5/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^3*f-1/(a*h^2+c*g^2)/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*d-2/h^3*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f*g+1/2*f/h^2*x*(c*x^2+a)^(1/2)+1/h^2*c^(1/2)/(a*h^2+c*g^2)*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*f*g^2+1/h^3*c^2*g^3/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*d-1/h^4*c^2*g^4/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e+1/h^5*c^2*g^5/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f-1/h*c/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*e*g+1/h^2*c/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*f*g^2-1/h*c^(1/2)/(a*h^2+c*g^2)*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*e*g+1/h^3*c*g^3/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*f+1/h*c*g/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*d-1/h^2*c*g^2/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*e+1/2*f/h^2*a/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+c/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*d+1/h^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e+c^(1/2)/(a*h^2+c*g^2)*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*d-1/h^3*c^(1/2)*g*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*e+2/h^4*c^(1/2)*g^2*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*f-1/h^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*e","B"
84,1,4432,274,0.016000," ","int((f*x^2+e*x+d)*(c*x^2+a)^(1/2)/(h*x+g)^3,x)","\text{output too large to display}"," ",0,"5/2/h^3*c*g^2/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f+3/2/h^3*c^(3/2)*g^2/(a*h^2+c*g^2)*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*e-5/2/h^4*c^(3/2)*g^3/(a*h^2+c*g^2)*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*f+1/h*c/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*e+1/h*c^(1/2)/(a*h^2+c*g^2)*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*e+2/h^2/(a*h^2+c*g^2)/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*f*g-1/2*c*g/(a*h^2+c*g^2)^2/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*d+1/2*c^(3/2)*g/(a*h^2+c*g^2)^2*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*d+1/2*c^2*g/(a*h^2+c*g^2)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*d+1/2/h^2*c^(5/2)*g^3/(a*h^2+c*g^2)^2*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*d-1/2/h^3*c^(5/2)*g^4/(a*h^2+c*g^2)^2*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*e+1/2/h^4*c^(5/2)*g^5/(a*h^2+c*g^2)^2*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*f-1/2/h^2*c^(3/2)/(a*h^2+c*g^2)*g*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*d+1/2/h^2/(a*h^2+c*g^2)/(x+g/h)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*e*g-1/2/h^3/(a*h^2+c*g^2)/(x+g/h)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*f*g^2-1/2/h*c^2*g^2/(a*h^2+c*g^2)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d+1/2/h^2*c^2*g^3/(a*h^2+c*g^2)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e-1/2/h^3*c^2*g^4/(a*h^2+c*g^2)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f-f/h^5/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^2-3/2/h^2*c*g/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e-1/2/h^2*c^2*g^3/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*e+1/2/h*c^2*g^2/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*d-5/2/h^3*c*g^2/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*f+3/2/h^2*c*g/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*e+1/2/h^3*c^2*g^4/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*f+f/h^3*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)+3/2/h^4*c^2*g^3/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e-5/2/h^5*c^2*g^4/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f-2/h^2*c/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*f*g-2/h^2*c^(1/2)/(a*h^2+c*g^2)*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*f*g-1/2/h*c/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*d-1/2/h^3*c^2/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*g^2*d+1/2/h^2*c^2*g^3/(a*h^2+c*g^2)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*f-1/2/h*c^(3/2)*g^2/(a*h^2+c*g^2)^2*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*e+1/2/h^5*c^3*g^6/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f-1/2/h^2*c*g^3/(a*h^2+c*g^2)^2/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*f+1/2/h^3*c^3*g^4/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*d-1/2/h^4*c^3*g^5/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e-1/2/h*c^2*g^2/(a*h^2+c*g^2)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*e+1/2/h*c*g^2/(a*h^2+c*g^2)^2/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*e+1/2/h^2*c^(3/2)*g^3/(a*h^2+c*g^2)^2*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*f-1/h/(a*h^2+c*g^2)/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*e-f/h^4*c^(1/2)*g*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))-f/h^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a+1/2/h*c/(a*h^2+c*g^2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d-1/2/h/(a*h^2+c*g^2)/(x+g/h)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*d","B"
85,1,5565,292,0.015000," ","int((f*x^2+e*x+d)*(c*x^2+a)^(1/2)/(h*x+g)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
86,1,7237,293,0.020000," ","int((f*x^2+e*x+d)*(c*x^2+a)^(1/2)/(h*x+g)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
87,1,8546,409,0.025000," ","int((f*x^2+e*x+d)*(c*x^2+a)^(1/2)/(h*x+g)^6,x)","\text{output too large to display}"," ",0,"result too large to display","B"
88,1,794,427,0.018000," ","int((h*x+g)^3*(c*x^2+a)^(3/2)*(f*x^2+e*x+d),x)","\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} f \,h^{3} x^{4}}{9 c}+\frac{3 a^{4} e \,h^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{128 c^{\frac{5}{2}}}+\frac{9 a^{4} f g \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{128 c^{\frac{5}{2}}}-\frac{3 a^{3} d g \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}-\frac{3 a^{3} e \,g^{2} h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}-\frac{a^{3} f \,g^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 a^{2} d \,g^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 \sqrt{c}}+\frac{3 \sqrt{c \,x^{2}+a}\, a^{3} e \,h^{3} x}{128 c^{2}}+\frac{9 \sqrt{c \,x^{2}+a}\, a^{3} f g \,h^{2} x}{128 c^{2}}-\frac{3 \sqrt{c \,x^{2}+a}\, a^{2} d g \,h^{2} x}{16 c}-\frac{3 \sqrt{c \,x^{2}+a}\, a^{2} e \,g^{2} h x}{16 c}-\frac{\sqrt{c \,x^{2}+a}\, a^{2} f \,g^{3} x}{16 c}+\frac{3 \sqrt{c \,x^{2}+a}\, a d \,g^{3} x}{8}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} e \,h^{3} x^{3}}{8 c}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{5}{2}} f g \,h^{2} x^{3}}{8 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2} e \,h^{3} x}{64 c^{2}}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2} f g \,h^{2} x}{64 c^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a d g \,h^{2} x}{8 c}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a e \,g^{2} h x}{8 c}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a f \,g^{3} x}{24 c}-\frac{4 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a f \,h^{3} x^{2}}{63 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} d \,h^{3} x^{2}}{7 c}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{5}{2}} e g \,h^{2} x^{2}}{7 c}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{5}{2}} f \,g^{2} h \,x^{2}}{7 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} d \,g^{3} x}{4}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} a e \,h^{3} x}{16 c^{2}}-\frac{3 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a f g \,h^{2} x}{16 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} d g \,h^{2} x}{2 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} e \,g^{2} h x}{2 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} f \,g^{3} x}{6 c}+\frac{8 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a^{2} f \,h^{3}}{315 c^{3}}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a d \,h^{3}}{35 c^{2}}-\frac{6 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a e g \,h^{2}}{35 c^{2}}-\frac{6 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a f \,g^{2} h}{35 c^{2}}+\frac{3 \left(c \,x^{2}+a \right)^{\frac{5}{2}} d \,g^{2} h}{5 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} e \,g^{3}}{5 c}"," ",0,"-3/16*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*d*g*h^2-3/16*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*g^2*h+3/7*x^2*(c*x^2+a)^(5/2)/c*e*g*h^2+3/7*x^2*(c*x^2+a)^(5/2)/c*f*g^2*h-6/35*a/c^2*(c*x^2+a)^(5/2)*e*g*h^2-6/35*a/c^2*(c*x^2+a)^(5/2)*f*g^2*h-4/63*f*h^3*a/c^2*x^2*(c*x^2+a)^(5/2)+3/8*x^3*(c*x^2+a)^(5/2)/c*f*g*h^2-1/16*a/c^2*x*(c*x^2+a)^(5/2)*e*h^3+1/64*a^2/c^2*x*(c*x^2+a)^(3/2)*e*h^3+3/128*a^3/c^2*x*(c*x^2+a)^(1/2)*e*h^3+9/128*a^4/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g*h^2+1/2*x*(c*x^2+a)^(5/2)/c*d*g*h^2+1/2*x*(c*x^2+a)^(5/2)/c*e*g^2*h-1/24*a/c*x*(c*x^2+a)^(3/2)*f*g^3-1/16*a^2/c*x*(c*x^2+a)^(1/2)*f*g^3+1/5*(c*x^2+a)^(5/2)/c*e*g^3+1/4*d*g^3*x*(c*x^2+a)^(3/2)-3/16*a^2/c*x*(c*x^2+a)^(1/2)*d*g*h^2-3/16*a^2/c*x*(c*x^2+a)^(1/2)*e*g^2*h-1/8*a/c*x*(c*x^2+a)^(3/2)*e*g^2*h-3/16*a/c^2*x*(c*x^2+a)^(5/2)*f*g*h^2+3/64*a^2/c^2*x*(c*x^2+a)^(3/2)*f*g*h^2+9/128*a^3/c^2*x*(c*x^2+a)^(1/2)*f*g*h^2-1/8*a/c*x*(c*x^2+a)^(3/2)*d*g*h^2+1/9*f*h^3*x^4*(c*x^2+a)^(5/2)/c+8/315*f*h^3*a^2/c^3*(c*x^2+a)^(5/2)+1/8*x^3*(c*x^2+a)^(5/2)/c*e*h^3+3/128*a^4/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*h^3+1/7*x^2*(c*x^2+a)^(5/2)/c*d*h^3-2/35*a/c^2*(c*x^2+a)^(5/2)*d*h^3+1/6*x*(c*x^2+a)^(5/2)/c*f*g^3-1/16*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g^3+3/5*(c*x^2+a)^(5/2)/c*d*g^2*h+3/8*d*g^3*a*x*(c*x^2+a)^(1/2)+3/8*d*g^3*a^2/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
89,1,552,316,0.010000," ","int((h*x+g)^2*(c*x^2+a)^(3/2)*(f*x^2+e*x+d),x)","\frac{3 a^{4} f \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{128 c^{\frac{5}{2}}}-\frac{a^{3} d \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}-\frac{a^{3} e g h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{3}{2}}}-\frac{a^{3} f \,g^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 a^{2} d \,g^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 \sqrt{c}}+\frac{3 \sqrt{c \,x^{2}+a}\, a^{3} f \,h^{2} x}{128 c^{2}}-\frac{\sqrt{c \,x^{2}+a}\, a^{2} d \,h^{2} x}{16 c}-\frac{\sqrt{c \,x^{2}+a}\, a^{2} e g h x}{8 c}-\frac{\sqrt{c \,x^{2}+a}\, a^{2} f \,g^{2} x}{16 c}+\frac{3 \sqrt{c \,x^{2}+a}\, a d \,g^{2} x}{8}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} f \,h^{2} x^{3}}{8 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2} f \,h^{2} x}{64 c^{2}}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a d \,h^{2} x}{24 c}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a e g h x}{12 c}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a f \,g^{2} x}{24 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} e \,h^{2} x^{2}}{7 c}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{5}{2}} f g h \,x^{2}}{7 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} d \,g^{2} x}{4}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} a f \,h^{2} x}{16 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} d \,h^{2} x}{6 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} e g h x}{3 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} f \,g^{2} x}{6 c}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a e \,h^{2}}{35 c^{2}}-\frac{4 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a f g h}{35 c^{2}}+\frac{2 \left(c \,x^{2}+a \right)^{\frac{5}{2}} d g h}{5 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} e \,g^{2}}{5 c}"," ",0,"1/3*x*(c*x^2+a)^(5/2)/c*e*g*h-1/24*a/c*x*(c*x^2+a)^(3/2)*d*h^2-1/24*a/c*x*(c*x^2+a)^(3/2)*f*g^2-1/16*a^2/c*x*(c*x^2+a)^(1/2)*d*h^2-1/16*f*h^2*a/c^2*x*(c*x^2+a)^(5/2)+1/64*f*h^2*a^2/c^2*x*(c*x^2+a)^(3/2)+3/128*f*h^2*a^3/c^2*x*(c*x^2+a)^(1/2)+2/7*x^2*(c*x^2+a)^(5/2)/c*f*g*h-4/35*a/c^2*(c*x^2+a)^(5/2)*f*g*h-1/8*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*g*h-1/16*a^2/c*x*(c*x^2+a)^(1/2)*f*g^2+1/4*d*g^2*x*(c*x^2+a)^(3/2)+1/5*(c*x^2+a)^(5/2)/c*e*g^2+1/8*f*h^2*x^3*(c*x^2+a)^(5/2)/c+3/128*f*h^2*a^4/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-1/12*a/c*x*(c*x^2+a)^(3/2)*e*g*h-1/8*a^2/c*x*(c*x^2+a)^(1/2)*e*g*h+1/6*x*(c*x^2+a)^(5/2)/c*d*h^2+1/6*x*(c*x^2+a)^(5/2)/c*f*g^2-1/16*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*d*h^2-1/16*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g^2+2/5*(c*x^2+a)^(5/2)/c*d*g*h+3/8*d*g^2*a*x*(c*x^2+a)^(1/2)+3/8*d*g^2*a^2/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/7*x^2*(c*x^2+a)^(5/2)/c*e*h^2-2/35*a/c^2*(c*x^2+a)^(5/2)*e*h^2","A"
90,1,287,187,0.005000," ","int((h*x+g)*(c*x^2+a)^(3/2)*(f*x^2+e*x+d),x)","-\frac{a^{3} e h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}-\frac{a^{3} f g \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 a^{2} d g \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 \sqrt{c}}-\frac{\sqrt{c \,x^{2}+a}\, a^{2} e h x}{16 c}-\frac{\sqrt{c \,x^{2}+a}\, a^{2} f g x}{16 c}+\frac{3 \sqrt{c \,x^{2}+a}\, a d g x}{8}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a e h x}{24 c}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a f g x}{24 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} f h \,x^{2}}{7 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} d g x}{4}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} e h x}{6 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} f g x}{6 c}-\frac{2 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a f h}{35 c^{2}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} d h}{5 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} e g}{5 c}"," ",0,"1/7*h*f*x^2*(c*x^2+a)^(5/2)/c-2/35*h*f*a/c^2*(c*x^2+a)^(5/2)+1/6*x*(c*x^2+a)^(5/2)/c*e*h+1/6*x*(c*x^2+a)^(5/2)/c*f*g-1/24*a/c*x*(c*x^2+a)^(3/2)*e*h-1/24*a/c*x*(c*x^2+a)^(3/2)*f*g-1/16*a^2/c*x*(c*x^2+a)^(1/2)*e*h-1/16*a^2/c*x*(c*x^2+a)^(1/2)*f*g-1/16*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*h-1/16*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g+1/5*(c*x^2+a)^(5/2)/c*d*h+1/5*(c*x^2+a)^(5/2)/c*e*g+1/4*d*g*x*(c*x^2+a)^(3/2)+3/8*d*g*a*x*(c*x^2+a)^(1/2)+3/8*d*g*a^2/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
91,1,146,113,0.006000," ","int((c*x^2+a)^(3/2)*(f*x^2+e*x+d),x)","-\frac{a^{3} f \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 a^{2} d \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 \sqrt{c}}-\frac{\sqrt{c \,x^{2}+a}\, a^{2} f x}{16 c}+\frac{3 \sqrt{c \,x^{2}+a}\, a d x}{8}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} a f x}{24 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} d x}{4}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} f x}{6 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} e}{5 c}"," ",0,"1/6*f*x*(c*x^2+a)^(5/2)/c-1/24*f*a/c*x*(c*x^2+a)^(3/2)-1/16*f*a^2/c*x*(c*x^2+a)^(1/2)-1/16*f*a^3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/5*e*(c*x^2+a)^(5/2)/c+1/4*d*x*(c*x^2+a)^(3/2)+3/8*d*a*x*(c*x^2+a)^(1/2)+3/8*d*a^2/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
92,1,2420,299,0.013000," ","int((c*x^2+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g),x)","\frac{a^{2} e g \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{a^{2} f \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}-\frac{c^{2} d \,g^{4} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{5}}+\frac{c^{2} e \,g^{5} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{6}}-\frac{c^{2} f \,g^{6} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{7}}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} f}{5 c h}+\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, c e \,g^{2} x}{2 h^{3}}-\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, c f \,g^{3} x}{2 h^{4}}-\frac{3 a \sqrt{c}\, d g \ln \left(\frac{-\frac{c g}{h}+\left(x +\frac{g}{h}\right) c}{\sqrt{c}}+\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\right)}{2 h^{2}}-\frac{3 \sqrt{c \,x^{2}+a}\, a f g x}{8 h^{2}}-\frac{3 a^{2} f g \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 \sqrt{c}\, h^{2}}+\frac{3 a \sqrt{c}\, e \,g^{2} \ln \left(\frac{-\frac{c g}{h}+\left(x +\frac{g}{h}\right) c}{\sqrt{c}}+\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\right)}{2 h^{3}}-\frac{3 a \sqrt{c}\, f \,g^{3} \ln \left(\frac{-\frac{c g}{h}+\left(x +\frac{g}{h}\right) c}{\sqrt{c}}+\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\right)}{2 h^{4}}-\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, c d g x}{2 h^{2}}-\frac{\left(-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}\right)^{\frac{3}{2}} e g}{3 h^{2}}+\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a d}{h}+\frac{\left(-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}\right)^{\frac{3}{2}} f \,g^{2}}{3 h^{3}}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} e x}{4 h}-\frac{2 a c f \,g^{4} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{5}}+\frac{2 a c e \,g^{3} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{4}}-\frac{2 a c d \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}+\frac{\left(-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}\right)^{\frac{3}{2}} d}{3 h}+\frac{3 \sqrt{c \,x^{2}+a}\, a e x}{8 h}+\frac{3 a^{2} e \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 \sqrt{c}\, h}-\frac{a^{2} d \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}-\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} f g x}{4 h^{2}}+\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a f \,g^{2}}{h^{3}}-\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a e g}{h^{2}}+\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, c d \,g^{2}}{h^{3}}-\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, c e \,g^{3}}{h^{4}}+\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, c f \,g^{4}}{h^{5}}-\frac{c^{\frac{3}{2}} d \,g^{3} \ln \left(\frac{-\frac{c g}{h}+\left(x +\frac{g}{h}\right) c}{\sqrt{c}}+\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\right)}{h^{4}}+\frac{c^{\frac{3}{2}} e \,g^{4} \ln \left(\frac{-\frac{c g}{h}+\left(x +\frac{g}{h}\right) c}{\sqrt{c}}+\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\right)}{h^{5}}-\frac{c^{\frac{3}{2}} f \,g^{5} \ln \left(\frac{-\frac{c g}{h}+\left(x +\frac{g}{h}\right) c}{\sqrt{c}}+\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\right)}{h^{6}}"," ",0,"1/5*f*(c*x^2+a)^(5/2)/c/h+1/2/h^3*c*g^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*e-1/2/h^4*c*g^3*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*f-3/2/h^2*c^(1/2)*g*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*d-3/8/h^2*f*g*a*x*(c*x^2+a)^(1/2)-3/8/h^2*f*g*a^2/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+3/2/h^3*c^(1/2)*g^2*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*e-3/2/h^4*c^(1/2)*g^3*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*a*f+1/h^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a^2*e*g-1/h^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a^2*f*g^2+1/h^6/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*c^2*g^5*e-1/h^7/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*c^2*g^6*f-1/h^5/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*c^2*g^4*d-1/2/h^2*c*g*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*d-1/3/h^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*e*g+1/h*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*a*d+1/3/h^3*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*f*g^2+1/4/h*e*x*(c*x^2+a)^(3/2)-2/h^5/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*c*g^4*f-2/h^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*c*g^2*d+2/h^4/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a*c*g^3*e+1/3/h*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(3/2)*d+3/8/h*e*a*x*(c*x^2+a)^(1/2)+3/8/h*e*a^2/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-1/4/h^2*f*g*x*(c*x^2+a)^(3/2)+1/h^3*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*a*f*g^2-1/h^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*a*e*g+1/h^3*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*c*g^2*d-1/h^4*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*c*g^3*e+1/h^5*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*c*g^4*f-1/h^4*c^(3/2)*g^3*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*d+1/h^5*c^(3/2)*g^4*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*e-1/h^6*c^(3/2)*g^5*ln((-c*g/h+(x+g/h)*c)/c^(1/2)+(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))*f-1/h/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*a^2*d","B"
93,1,5121,406,0.017000," ","int((c*x^2+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^2,x)","\text{output too large to display}"," ",0,"result too large to display","B"
94,1,7817,458,0.017000," ","int((c*x^2+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
95,1,9835,447,0.021000," ","int((c*x^2+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
96,1,12481,485,0.025000," ","int((c*x^2+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
97,1,14169,481,0.029000," ","int((c*x^2+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^6,x)","\text{output too large to display}"," ",0,"result too large to display","B"
98,1,17026,380,0.038000," ","int((c*x^2+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^7,x)","\text{output too large to display}"," ",0,"result too large to display","B"
99,1,19093,504,0.051000," ","int((c*x^2+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^8,x)","\text{output too large to display}"," ",0,"result too large to display","B"
100,1,181,140,0.009000," ","int((c*x^2+a)^(5/2)*(C*x^2+B*x+A),x)","\frac{5 A \,a^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 \sqrt{c}}-\frac{5 C \,a^{4} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{128 c^{\frac{3}{2}}}+\frac{5 \sqrt{c \,x^{2}+a}\, A \,a^{2} x}{16}-\frac{5 \sqrt{c \,x^{2}+a}\, C \,a^{3} x}{128 c}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} A a x}{24}-\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} C \,a^{2} x}{192 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} A x}{6}-\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} C a x}{48 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} C x}{8 c}+\frac{\left(c \,x^{2}+a \right)^{\frac{7}{2}} B}{7 c}"," ",0,"1/8*C*x*(c*x^2+a)^(7/2)/c-1/48*C*a/c*x*(c*x^2+a)^(5/2)-5/192*C*a^2/c*x*(c*x^2+a)^(3/2)-5/128*C*a^3/c*x*(c*x^2+a)^(1/2)-5/128*C*a^4/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/7*B*(c*x^2+a)^(7/2)/c+1/6*A*x*(c*x^2+a)^(5/2)+5/24*A*a*x*(c*x^2+a)^(3/2)+5/16*A*a^2*x*(c*x^2+a)^(1/2)+5/16*A*a^3/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
101,1,528,298,0.015000," ","int((h*x+g)^3*(f*x^2+e*x+d)/(c*x^2+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+a}\, f \,h^{3} x^{4}}{5 c}+\frac{\sqrt{c \,x^{2}+a}\, e \,h^{3} x^{3}}{4 c}+\frac{3 \sqrt{c \,x^{2}+a}\, f g \,h^{2} x^{3}}{4 c}-\frac{4 \sqrt{c \,x^{2}+a}\, a f \,h^{3} x^{2}}{15 c^{2}}+\frac{\sqrt{c \,x^{2}+a}\, d \,h^{3} x^{2}}{3 c}+\frac{\sqrt{c \,x^{2}+a}\, e g \,h^{2} x^{2}}{c}+\frac{\sqrt{c \,x^{2}+a}\, f \,g^{2} h \,x^{2}}{c}+\frac{3 a^{2} e \,h^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{5}{2}}}+\frac{9 a^{2} f g \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{5}{2}}}-\frac{3 a d g \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{3}{2}}}-\frac{3 a e \,g^{2} h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{3}{2}}}-\frac{a f \,g^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{3}{2}}}+\frac{d \,g^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{\sqrt{c}}-\frac{3 \sqrt{c \,x^{2}+a}\, a e \,h^{3} x}{8 c^{2}}-\frac{9 \sqrt{c \,x^{2}+a}\, a f g \,h^{2} x}{8 c^{2}}+\frac{3 \sqrt{c \,x^{2}+a}\, d g \,h^{2} x}{2 c}+\frac{3 \sqrt{c \,x^{2}+a}\, e \,g^{2} h x}{2 c}+\frac{\sqrt{c \,x^{2}+a}\, f \,g^{3} x}{2 c}+\frac{8 \sqrt{c \,x^{2}+a}\, a^{2} f \,h^{3}}{15 c^{3}}-\frac{2 \sqrt{c \,x^{2}+a}\, a d \,h^{3}}{3 c^{2}}-\frac{2 \sqrt{c \,x^{2}+a}\, a e g \,h^{2}}{c^{2}}-\frac{2 \sqrt{c \,x^{2}+a}\, a f \,g^{2} h}{c^{2}}+\frac{3 \sqrt{c \,x^{2}+a}\, d \,g^{2} h}{c}+\frac{\sqrt{c \,x^{2}+a}\, e \,g^{3}}{c}"," ",0,"1/5*h^3*f*x^4/c*(c*x^2+a)^(1/2)-4/15*h^3*f*a/c^2*x^2*(c*x^2+a)^(1/2)+8/15*h^3*f*a^2/c^3*(c*x^2+a)^(1/2)+1/4*x^3/c*(c*x^2+a)^(1/2)*h^3*e+3/4*x^3/c*(c*x^2+a)^(1/2)*g*h^2*f-3/8*a/c^2*x*(c*x^2+a)^(1/2)*h^3*e-9/8*a/c^2*x*(c*x^2+a)^(1/2)*g*h^2*f+3/8*a^2/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*h^3*e+9/8*a^2/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*g*h^2*f+1/3*x^2/c*(c*x^2+a)^(1/2)*h^3*d+x^2/c*(c*x^2+a)^(1/2)*g*h^2*e+x^2/c*(c*x^2+a)^(1/2)*g^2*h*f-2/3*a/c^2*(c*x^2+a)^(1/2)*h^3*d-2*a/c^2*(c*x^2+a)^(1/2)*g*h^2*e-2*a/c^2*(c*x^2+a)^(1/2)*g^2*h*f+3/2*x/c*(c*x^2+a)^(1/2)*g*h^2*d+3/2*x/c*(c*x^2+a)^(1/2)*g^2*h*e+1/2*x/c*(c*x^2+a)^(1/2)*g^3*f-3/2*a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*g*h^2*d-3/2*a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*g^2*h*e-1/2*a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*g^3*f+3/c*(c*x^2+a)^(1/2)*g^2*h*d+1/c*(c*x^2+a)^(1/2)*g^3*e+g^3*d*ln(c^(1/2)*x+(c*x^2+a)^(1/2))/c^(1/2)","A"
102,1,339,201,0.010000," ","int((h*x+g)^2*(f*x^2+e*x+d)/(c*x^2+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+a}\, f \,h^{2} x^{3}}{4 c}+\frac{\sqrt{c \,x^{2}+a}\, e \,h^{2} x^{2}}{3 c}+\frac{2 \sqrt{c \,x^{2}+a}\, f g h \,x^{2}}{3 c}+\frac{3 a^{2} f \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 c^{\frac{5}{2}}}-\frac{a d \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{3}{2}}}-\frac{a e g h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}-\frac{a f \,g^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{3}{2}}}+\frac{d \,g^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{\sqrt{c}}-\frac{3 \sqrt{c \,x^{2}+a}\, a f \,h^{2} x}{8 c^{2}}+\frac{\sqrt{c \,x^{2}+a}\, d \,h^{2} x}{2 c}+\frac{\sqrt{c \,x^{2}+a}\, e g h x}{c}+\frac{\sqrt{c \,x^{2}+a}\, f \,g^{2} x}{2 c}-\frac{2 \sqrt{c \,x^{2}+a}\, a e \,h^{2}}{3 c^{2}}-\frac{4 \sqrt{c \,x^{2}+a}\, a f g h}{3 c^{2}}+\frac{2 \sqrt{c \,x^{2}+a}\, d g h}{c}+\frac{\sqrt{c \,x^{2}+a}\, e \,g^{2}}{c}"," ",0,"1/4*h^2*f*x^3/c*(c*x^2+a)^(1/2)-3/8*h^2*f*a/c^2*x*(c*x^2+a)^(1/2)+3/8*h^2*f*a^2/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+1/3*x^2/c*(c*x^2+a)^(1/2)*h^2*e+2/3*x^2/c*(c*x^2+a)^(1/2)*g*h*f-2/3*a/c^2*(c*x^2+a)^(1/2)*h^2*e-4/3*a/c^2*(c*x^2+a)^(1/2)*g*h*f+1/2*x/c*(c*x^2+a)^(1/2)*d*h^2+x/c*(c*x^2+a)^(1/2)*e*g*h+1/2*x/c*(c*x^2+a)^(1/2)*f*g^2-1/2*a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*d*h^2-a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*g*h-1/2*a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g^2+2/c*(c*x^2+a)^(1/2)*g*h*d+1/c*(c*x^2+a)^(1/2)*g^2*e+g^2*d*ln(c^(1/2)*x+(c*x^2+a)^(1/2))/c^(1/2)","A"
103,1,172,118,0.006000," ","int((h*x+g)*(f*x^2+e*x+d)/(c*x^2+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+a}\, f h \,x^{2}}{3 c}-\frac{a e h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{3}{2}}}-\frac{a f g \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{3}{2}}}+\frac{d g \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{\sqrt{c}}+\frac{\sqrt{c \,x^{2}+a}\, e h x}{2 c}+\frac{\sqrt{c \,x^{2}+a}\, f g x}{2 c}-\frac{2 \sqrt{c \,x^{2}+a}\, a f h}{3 c^{2}}+\frac{\sqrt{c \,x^{2}+a}\, d h}{c}+\frac{\sqrt{c \,x^{2}+a}\, e g}{c}"," ",0,"1/3*h*f*x^2/c*(c*x^2+a)^(1/2)-2/3*h*f*a/c^2*(c*x^2+a)^(1/2)+1/2*x/c*(c*x^2+a)^(1/2)*e*h+1/2*x/c*(c*x^2+a)^(1/2)*f*g-1/2*a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*h-1/2*a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g+1/c*(c*x^2+a)^(1/2)*d*h+1/c*(c*x^2+a)^(1/2)*e*g+d*g*ln(c^(1/2)*x+(c*x^2+a)^(1/2))/c^(1/2)","A"
104,1,76,60,0.006000," ","int((f*x^2+e*x+d)/(c*x^2+a)^(1/2),x)","-\frac{a f \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{3}{2}}}+\frac{d \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{\sqrt{c}}+\frac{\sqrt{c \,x^{2}+a}\, f x}{2 c}+\frac{\sqrt{c \,x^{2}+a}\, e}{c}"," ",0,"1/2*f*x*(c*x^2+a)^(1/2)/c-1/2*f*a/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+e*(c*x^2+a)^(1/2)/c+d*ln(c^(1/2)*x+(c*x^2+a)^(1/2))/c^(1/2)","A"
105,1,453,116,0.012000," ","int((f*x^2+e*x+d)/(h*x+g)/(c*x^2+a)^(1/2),x)","-\frac{d \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{e g \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{f \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}+\frac{e \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{\sqrt{c}\, h}-\frac{f g \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{\sqrt{c}\, h^{2}}+\frac{\sqrt{c \,x^{2}+a}\, f}{c h}"," ",0,"f*(c*x^2+a)^(1/2)/c/h+1/h*e*ln(c^(1/2)*x+(c*x^2+a)^(1/2))/c^(1/2)-1/h^2*f*g*ln(c^(1/2)*x+(c*x^2+a)^(1/2))/c^(1/2)-1/h/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*d+1/h^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e*g-1/h^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f*g^2","B"
106,1,923,154,0.015000," ","int((f*x^2+e*x+d)/(h*x+g)^2/(c*x^2+a)^(1/2),x)","-\frac{c d g \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{c e \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{c f \,g^{3} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}-\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, d}{\left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right)}+\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, e g}{\left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right) h}-\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, f \,g^{2}}{\left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right) h^{2}}-\frac{e \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}+\frac{2 f g \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}+\frac{f \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{\sqrt{c}\, h^{2}}"," ",0,"f/h^2*ln(c^(1/2)*x+(c*x^2+a)^(1/2))/c^(1/2)-1/(a*h^2+c*g^2)/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d+1/h/(a*h^2+c*g^2)/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e*g-1/h^2/(a*h^2+c*g^2)/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f*g^2-1/h*c*g/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*d+1/h^2*c*g^2/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e-1/h^3*c*g^3/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f-1/h^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e+2/h^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f*g","B"
107,1,1574,209,0.016000," ","int((f*x^2+e*x+d)/(h*x+g)^3/(c*x^2+a)^(1/2),x)","-\frac{3 c^{2} d \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{3 c^{2} e \,g^{3} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{3 c^{2} f \,g^{4} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}-\frac{3 \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, c d g}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \left(x +\frac{g}{h}\right)}+\frac{3 \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, c e \,g^{2}}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \left(x +\frac{g}{h}\right) h}-\frac{3 \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, c f \,g^{3}}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \left(x +\frac{g}{h}\right) h^{2}}+\frac{c d \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}-\frac{3 c e g \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}+\frac{5 c f \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}-\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, d}{2 \left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right)^{2} h}+\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, e g}{2 \left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right)^{2} h^{2}}-\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, e}{\left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right) h}-\frac{\sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, f \,g^{2}}{2 \left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right)^{2} h^{3}}+\frac{2 \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, f g}{\left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right) h^{2}}-\frac{f \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}"," ",0,"-1/h/(a*h^2+c*g^2)/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e+2/h^2/(a*h^2+c*g^2)/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f*g-3/2/h^2*c*g/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e+5/2/h^3*c*g^2/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f-f/h^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))-1/2/h/(a*h^2+c*g^2)/(x+g/h)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d+1/2/h^2/(a*h^2+c*g^2)/(x+g/h)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e*g-1/2/h^3/(a*h^2+c*g^2)/(x+g/h)^2*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f*g^2-3/2*c*g/(a*h^2+c*g^2)^2/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d+3/2/h*c*g^2/(a*h^2+c*g^2)^2/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e-3/2/h^2*c*g^3/(a*h^2+c*g^2)^2/(x+g/h)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f-3/2/h*c^2*g^2/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*d+3/2/h^2*c^2*g^3/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e-3/2/h^3*c^2*g^4/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f+1/2/h*c/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*d","B"
108,1,516,208,0.016000," ","int((h*x+g)^3*(f*x^2+e*x+d)/(c*x^2+a)^(3/2),x)","\frac{f \,h^{3} x^{4}}{3 \sqrt{c \,x^{2}+a}\, c}+\frac{e \,h^{3} x^{3}}{2 \sqrt{c \,x^{2}+a}\, c}+\frac{3 f g \,h^{2} x^{3}}{2 \sqrt{c \,x^{2}+a}\, c}-\frac{4 a f \,h^{3} x^{2}}{3 \sqrt{c \,x^{2}+a}\, c^{2}}+\frac{d \,h^{3} x^{2}}{\sqrt{c \,x^{2}+a}\, c}+\frac{3 e g \,h^{2} x^{2}}{\sqrt{c \,x^{2}+a}\, c}+\frac{3 f \,g^{2} h \,x^{2}}{\sqrt{c \,x^{2}+a}\, c}+\frac{3 a e \,h^{3} x}{2 \sqrt{c \,x^{2}+a}\, c^{2}}+\frac{9 a f g \,h^{2} x}{2 \sqrt{c \,x^{2}+a}\, c^{2}}+\frac{d \,g^{3} x}{\sqrt{c \,x^{2}+a}\, a}-\frac{3 d g \,h^{2} x}{\sqrt{c \,x^{2}+a}\, c}-\frac{3 e \,g^{2} h x}{\sqrt{c \,x^{2}+a}\, c}-\frac{f \,g^{3} x}{\sqrt{c \,x^{2}+a}\, c}-\frac{3 a e \,h^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{5}{2}}}-\frac{9 a f g \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{5}{2}}}+\frac{3 d g \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}+\frac{3 e \,g^{2} h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}+\frac{f \,g^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}-\frac{8 a^{2} f \,h^{3}}{3 \sqrt{c \,x^{2}+a}\, c^{3}}+\frac{2 a d \,h^{3}}{\sqrt{c \,x^{2}+a}\, c^{2}}+\frac{6 a e g \,h^{2}}{\sqrt{c \,x^{2}+a}\, c^{2}}+\frac{6 a f \,g^{2} h}{\sqrt{c \,x^{2}+a}\, c^{2}}-\frac{3 d \,g^{2} h}{\sqrt{c \,x^{2}+a}\, c}-\frac{e \,g^{3}}{\sqrt{c \,x^{2}+a}\, c}"," ",0,"1/3*h^3*f*x^4/c/(c*x^2+a)^(1/2)-4/3*h^3*f*a/c^2*x^2/(c*x^2+a)^(1/2)-8/3*h^3*f*a^2/c^3/(c*x^2+a)^(1/2)+1/2*x^3/c/(c*x^2+a)^(1/2)*h^3*e+3/2*x^3/c/(c*x^2+a)^(1/2)*g*h^2*f+3/2*a/c^2*x/(c*x^2+a)^(1/2)*h^3*e+9/2*a/c^2*x/(c*x^2+a)^(1/2)*g*h^2*f-3/2*a/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*h^3*e-9/2*a/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*g*h^2*f+x^2/c/(c*x^2+a)^(1/2)*h^3*d+3*x^2/c/(c*x^2+a)^(1/2)*g*h^2*e+3*x^2/c/(c*x^2+a)^(1/2)*g^2*h*f+2*a/c^2/(c*x^2+a)^(1/2)*h^3*d+6*a/c^2/(c*x^2+a)^(1/2)*g*h^2*e+6*a/c^2/(c*x^2+a)^(1/2)*g^2*h*f-3*x/c/(c*x^2+a)^(1/2)*g*h^2*d-3*x/c/(c*x^2+a)^(1/2)*g^2*h*e-x/c/(c*x^2+a)^(1/2)*g^3*f+3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*g*h^2*d+3/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*g^2*h*e+1/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*g^3*f-3/c/(c*x^2+a)^(1/2)*g^2*h*d-1/c/(c*x^2+a)^(1/2)*g^3*e+g^3*d*x/a/(c*x^2+a)^(1/2)","B"
109,1,327,133,0.010000," ","int((h*x+g)^2*(f*x^2+e*x+d)/(c*x^2+a)^(3/2),x)","\frac{f \,h^{2} x^{3}}{2 \sqrt{c \,x^{2}+a}\, c}+\frac{e \,h^{2} x^{2}}{\sqrt{c \,x^{2}+a}\, c}+\frac{2 f g h \,x^{2}}{\sqrt{c \,x^{2}+a}\, c}+\frac{3 a f \,h^{2} x}{2 \sqrt{c \,x^{2}+a}\, c^{2}}+\frac{d \,g^{2} x}{\sqrt{c \,x^{2}+a}\, a}-\frac{d \,h^{2} x}{\sqrt{c \,x^{2}+a}\, c}-\frac{2 e g h x}{\sqrt{c \,x^{2}+a}\, c}-\frac{f \,g^{2} x}{\sqrt{c \,x^{2}+a}\, c}-\frac{3 a f \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 c^{\frac{5}{2}}}+\frac{d \,h^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}+\frac{2 e g h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}+\frac{f \,g^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}+\frac{2 a e \,h^{2}}{\sqrt{c \,x^{2}+a}\, c^{2}}+\frac{4 a f g h}{\sqrt{c \,x^{2}+a}\, c^{2}}-\frac{2 d g h}{\sqrt{c \,x^{2}+a}\, c}-\frac{e \,g^{2}}{\sqrt{c \,x^{2}+a}\, c}"," ",0,"1/2*h^2*f*x^3/c/(c*x^2+a)^(1/2)+3/2*h^2*f*a/c^2*x/(c*x^2+a)^(1/2)-3/2*h^2*f*a/c^(5/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))+x^2/c/(c*x^2+a)^(1/2)*h^2*e+2*x^2/c/(c*x^2+a)^(1/2)*g*h*f+2*a/c^2/(c*x^2+a)^(1/2)*h^2*e+4*a/c^2/(c*x^2+a)^(1/2)*g*h*f-x/c/(c*x^2+a)^(1/2)*d*h^2-2*x/c/(c*x^2+a)^(1/2)*e*g*h-x/c/(c*x^2+a)^(1/2)*f*g^2+1/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*d*h^2+2/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*g*h+1/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g^2-2/c/(c*x^2+a)^(1/2)*g*h*d-1/c/(c*x^2+a)^(1/2)*g^2*e+g^2*d*x/a/(c*x^2+a)^(1/2)","B"
110,1,163,90,0.005000," ","int((h*x+g)*(f*x^2+e*x+d)/(c*x^2+a)^(3/2),x)","\frac{f h \,x^{2}}{\sqrt{c \,x^{2}+a}\, c}+\frac{d g x}{\sqrt{c \,x^{2}+a}\, a}-\frac{e h x}{\sqrt{c \,x^{2}+a}\, c}-\frac{f g x}{\sqrt{c \,x^{2}+a}\, c}+\frac{e h \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}+\frac{f g \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}+\frac{2 a f h}{\sqrt{c \,x^{2}+a}\, c^{2}}-\frac{d h}{\sqrt{c \,x^{2}+a}\, c}-\frac{e g}{\sqrt{c \,x^{2}+a}\, c}"," ",0,"h*f*x^2/c/(c*x^2+a)^(1/2)+2*h*f*a/c^2/(c*x^2+a)^(1/2)-x/c/(c*x^2+a)^(1/2)*e*h-x/c/(c*x^2+a)^(1/2)*f*g+1/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*e*h+1/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))*f*g-1/c/(c*x^2+a)^(1/2)*d*h-1/c/(c*x^2+a)^(1/2)*e*g+d*g*x/a/(c*x^2+a)^(1/2)","A"
111,1,69,52,0.006000," ","int((f*x^2+e*x+d)/(c*x^2+a)^(3/2),x)","\frac{d x}{\sqrt{c \,x^{2}+a}\, a}-\frac{f x}{\sqrt{c \,x^{2}+a}\, c}+\frac{f \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{c^{\frac{3}{2}}}-\frac{e}{\sqrt{c \,x^{2}+a}\, c}"," ",0,"-f*x/c/(c*x^2+a)^(1/2)+f/c^(3/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))-e/c/(c*x^2+a)^(1/2)+d*x/a/(c*x^2+a)^(1/2)","A"
112,1,862,129,0.015000," ","int((f*x^2+e*x+d)/(h*x+g)/(c*x^2+a)^(3/2),x)","\frac{c d g x}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a}-\frac{c e \,g^{2} x}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a h}+\frac{c f \,g^{3} x}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a \,h^{2}}-\frac{d h \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}+\frac{e g \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}-\frac{f \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{d h}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}-\frac{e g}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}+\frac{f \,g^{2}}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{e x}{\sqrt{c \,x^{2}+a}\, a h}-\frac{f g x}{\sqrt{c \,x^{2}+a}\, a \,h^{2}}-\frac{f}{\sqrt{c \,x^{2}+a}\, c h}"," ",0,"-1/h*f/c/(c*x^2+a)^(1/2)+1/h*e*x/a/(c*x^2+a)^(1/2)-1/h^2*f*g*x/a/(c*x^2+a)^(1/2)+h/(a*h^2+c*g^2)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d-1/(a*h^2+c*g^2)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e*g+1/h/(a*h^2+c*g^2)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f*g^2+g/(a*h^2+c*g^2)/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*c*d-1/h*g^2/(a*h^2+c*g^2)/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*c*e+1/h^2*g^3/(a*h^2+c*g^2)/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*c*f-h/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*d+1/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e*g-1/h/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f*g^2","B"
113,1,1663,228,0.017000," ","int((f*x^2+e*x+d)/(h*x+g)^2/(c*x^2+a)^(3/2),x)","\frac{3 c^{2} d \,g^{2} x}{\left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a}-\frac{3 c^{2} e \,g^{3} x}{\left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a h}+\frac{3 c^{2} f \,g^{4} x}{\left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a \,h^{2}}-\frac{3 c d g h \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}+\frac{3 c e \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}-\frac{3 c f \,g^{3} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{3 c d g h}{\left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}-\frac{3 c e \,g^{2}}{\left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}+\frac{3 c f \,g^{3}}{\left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}-\frac{2 c d x}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a}+\frac{3 c e g x}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a h}-\frac{4 c f \,g^{2} x}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a \,h^{2}}-\frac{e \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}+\frac{2 f g \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}-\frac{d}{\left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}+\frac{e g}{\left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{e}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}-\frac{f \,g^{2}}{\left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{2 f g}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{f x}{\sqrt{c \,x^{2}+a}\, a \,h^{2}}"," ",0,"f/h^2*x/a/(c*x^2+a)^(1/2)-1/(a*h^2+c*g^2)/(x+g/h)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d+1/h/(a*h^2+c*g^2)/(x+g/h)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e*g-1/h^2/(a*h^2+c*g^2)/(x+g/h)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f*g^2+3*h*c*g/(a*h^2+c*g^2)^2/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d-3*c*g^2/(a*h^2+c*g^2)^2/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e+3/h*c*g^3/(a*h^2+c*g^2)^2/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f+3*c^2*g^2/(a*h^2+c*g^2)^2/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*d-3/h*c^2*g^3/(a*h^2+c*g^2)^2/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*e+3/h^2*c^2*g^4/(a*h^2+c*g^2)^2/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*f-3*h*c*g/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*d+3*c*g^2/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e-3/h*c*g^3/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f-2/(a*h^2+c*g^2)/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*c*d+3/h/(a*h^2+c*g^2)/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*c*e*g-4/h^2/(a*h^2+c*g^2)/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*c*f*g^2+1/(a*h^2+c*g^2)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e-2/h/(a*h^2+c*g^2)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f*g-1/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e+2/h/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f*g","B"
114,1,2584,356,0.018000," ","int((f*x^2+e*x+d)/(h*x+g)^3/(c*x^2+a)^(3/2),x)","\frac{f}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{5 c e \,g^{2}}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \left(x +\frac{g}{h}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}-\frac{5 c f \,g^{3}}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \left(x +\frac{g}{h}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}+\frac{15 c^{3} d \,g^{3} x}{2 \left(a \,h^{2}+c \,g^{2}\right)^{3} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a}-\frac{13 c^{2} d g x}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a}-\frac{2 c e x}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a h}-\frac{15 c^{2} d \,g^{2} h \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right)^{3} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}-\frac{15 c^{2} f \,g^{4} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right)^{3} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{5 c f g x}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a \,h^{2}}-\frac{15 c^{3} e \,g^{4} x}{2 \left(a \,h^{2}+c \,g^{2}\right)^{3} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a h}+\frac{15 c^{3} f \,g^{5} x}{2 \left(a \,h^{2}+c \,g^{2}\right)^{3} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a \,h^{2}}+\frac{19 c^{2} e \,g^{2} x}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a h}-\frac{25 c^{2} f \,g^{3} x}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, a \,h^{2}}-\frac{e}{\left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{9 c e g}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}+\frac{2 f g}{\left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{15 c f \,g^{2}}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{e g}{2 \left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{f \,g^{2}}{2 \left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h^{3}}-\frac{5 c d g}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \left(x +\frac{g}{h}\right) \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}+\frac{15 c^{2} d \,g^{2} h}{2 \left(a \,h^{2}+c \,g^{2}\right)^{3} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}+\frac{15 c^{2} f \,g^{4}}{2 \left(a \,h^{2}+c \,g^{2}\right)^{3} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{15 c f \,g^{2} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}+\frac{15 c^{2} e \,g^{3} \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right)^{3} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}+\frac{3 c d h \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}-\frac{9 c e g \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}-\frac{f \ln \left(\frac{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\frac{2 a \,h^{2}+2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}+c \,g^{2}\right) \sqrt{\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}-\frac{d}{2 \left(a \,h^{2}+c \,g^{2}\right) \left(x +\frac{g}{h}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}\, h}-\frac{15 c^{2} e \,g^{3}}{2 \left(a \,h^{2}+c \,g^{2}\right)^{3} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}-\frac{3 c d h}{2 \left(a \,h^{2}+c \,g^{2}\right)^{2} \sqrt{-\frac{2 \left(x +\frac{g}{h}\right) c g}{h}+\left(x +\frac{g}{h}\right)^{2} c +\frac{a \,h^{2}+c \,g^{2}}{h^{2}}}}"," ",0,"f/h/(a*h^2+c*g^2)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)+5/2/h*c*g^2/(a*h^2+c*g^2)^2/(x+g/h)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e-5/2/h^2*c*g^3/(a*h^2+c*g^2)^2/(x+g/h)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f+15/2*c^3*g^3/(a*h^2+c*g^2)^3/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*d-15/2*h*c^2*g^2/(a*h^2+c*g^2)^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*d-15/2/h*c^2*g^4/(a*h^2+c*g^2)^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f-13/2*c^2*g/(a*h^2+c*g^2)^2/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*d-2/h/(a*h^2+c*g^2)/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*c*e+15/2/h*c*g^2/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*f+5/h^2/(a*h^2+c*g^2)/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*c*f*g-15/2/h*c^3*g^4/(a*h^2+c*g^2)^3/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*e+15/2/h^2*c^3*g^5/(a*h^2+c*g^2)^3/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*f+19/2/h*c^2*g^2/(a*h^2+c*g^2)^2/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*e-25/2/h^2*c^2*g^3/(a*h^2+c*g^2)^2/a/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*x*f-1/h/(a*h^2+c*g^2)/(x+g/h)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e+9/2*c*g/(a*h^2+c*g^2)^2/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e+2/h^2/(a*h^2+c*g^2)/(x+g/h)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f*g-15/2/h*c*g^2/(a*h^2+c*g^2)^2/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f-9/2*c*g/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e+1/2/h^2/(a*h^2+c*g^2)/(x+g/h)^2/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e*g-1/2/h^3/(a*h^2+c*g^2)/(x+g/h)^2/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f*g^2-5/2*c*g/(a*h^2+c*g^2)^2/(x+g/h)/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d+15/2*h*c^2*g^2/(a*h^2+c*g^2)^3/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d+15/2/h*c^2*g^4/(a*h^2+c*g^2)^3/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*f+15/2*c^2*g^3/(a*h^2+c*g^2)^3/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*e+3/2*h*c/(a*h^2+c*g^2)^2/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))*d-f/h/(a*h^2+c*g^2)/((a*h^2+c*g^2)/h^2)^(1/2)*ln((-2*(x+g/h)*c*g/h+2*(a*h^2+c*g^2)/h^2+2*((a*h^2+c*g^2)/h^2)^(1/2)*(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2))/(x+g/h))-1/2/h/(a*h^2+c*g^2)/(x+g/h)^2/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d-15/2*c^2*g^3/(a*h^2+c*g^2)^3/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*e-3/2*h*c/(a*h^2+c*g^2)^2/(-2*(x+g/h)*c*g/h+(x+g/h)^2*c+(a*h^2+c*g^2)/h^2)^(1/2)*d","B"
115,1,47,59,0.004000," ","int((C*x^2+B*x+A)/(c*x^2+a)^(5/2),x)","\frac{2 A \,c^{2} x^{3}+C a c \,x^{3}+3 A x a c -B \,a^{2}}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2} c}"," ",0,"1/3*(2*A*c^2*x^3+C*a*c*x^3+3*A*a*c*x-B*a^2)/(c*x^2+a)^(3/2)/a^2/c","A"
116,1,72,85,0.004000," ","int((C*x^2+B*x+A)/(c*x^2+a)^(7/2),x)","\frac{8 A \,c^{3} x^{5}+2 C a \,c^{2} x^{5}+20 A a \,c^{2} x^{3}+5 C \,a^{2} c \,x^{3}+15 A x \,a^{2} c -3 B \,a^{3}}{15 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a^{3} c}"," ",0,"1/15*(8*A*c^3*x^5+2*C*a*c^2*x^5+20*A*a*c^2*x^3+5*C*a^2*c*x^3+15*A*a^2*c*x-3*B*a^3)/(c*x^2+a)^(5/2)/a^3/c","A"
117,1,96,111,0.006000," ","int((C*x^2+B*x+A)/(c*x^2+a)^(9/2),x)","\frac{48 A \,c^{4} x^{7}+8 C a \,c^{3} x^{7}+168 A a \,c^{3} x^{5}+28 C \,a^{2} c^{2} x^{5}+210 A \,a^{2} c^{2} x^{3}+35 C \,a^{3} c \,x^{3}+105 A x \,a^{3} c -15 B \,a^{4}}{105 \left(c \,x^{2}+a \right)^{\frac{7}{2}} a^{4} c}"," ",0,"1/105*(48*A*c^4*x^7+8*C*a*c^3*x^7+168*A*a*c^3*x^5+28*C*a^2*c^2*x^5+210*A*a^2*c^2*x^3+35*C*a^3*c*x^3+105*A*a^3*c*x-15*B*a^4)/(c*x^2+a)^(7/2)/a^4/c","A"
118,1,79,83,0.013000," ","int((1+2*x)^3*(4*x^2+3*x+1)/(3*x^2+2)^(1/2),x)","\frac{32 \sqrt{3 x^{2}+2}\, x^{4}}{15}+6 \sqrt{3 x^{2}+2}\, x^{3}+\frac{764 \sqrt{3 x^{2}+2}\, x^{2}}{135}-\frac{\sqrt{3 x^{2}+2}\, x}{3}+\frac{5 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}-\frac{1841 \sqrt{3 x^{2}+2}}{405}"," ",0,"32/15*x^4*(3*x^2+2)^(1/2)+764/135*x^2*(3*x^2+2)^(1/2)-1841/405*(3*x^2+2)^(1/2)+6*x^3*(3*x^2+2)^(1/2)-1/3*x*(3*x^2+2)^(1/2)+5/9*arcsinh(1/2*x*6^(1/2))*3^(1/2)","A"
119,1,65,65,0.005000," ","int((1+2*x)^2*(4*x^2+3*x+1)/(3*x^2+2)^(1/2),x)","\frac{4 \sqrt{3 x^{2}+2}\, x^{3}}{3}+\frac{28 \sqrt{3 x^{2}+2}\, x^{2}}{9}+2 \sqrt{3 x^{2}+2}\, x -\sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)-\frac{49 \sqrt{3 x^{2}+2}}{27}"," ",0,"4/3*(3*x^2+2)^(1/2)*x^3+2*(3*x^2+2)^(1/2)*x-arcsinh(1/2*6^(1/2)*x)*3^(1/2)+28/9*(3*x^2+2)^(1/2)*x^2-49/27*(3*x^2+2)^(1/2)","A"
120,1,51,47,0.008000," ","int((1+2*x)*(4*x^2+3*x+1)/(3*x^2+2)^(1/2),x)","\frac{8 \sqrt{3 x^{2}+2}\, x^{2}}{9}+\frac{5 \sqrt{3 x^{2}+2}\, x}{3}-\frac{7 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}+\frac{13 \sqrt{3 x^{2}+2}}{27}"," ",0,"8/9*(3*x^2+2)^(1/2)*x^2+13/27*(3*x^2+2)^(1/2)+5/3*(3*x^2+2)^(1/2)*x-7/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
121,1,55,49,0.009000," ","int((4*x^2+3*x+1)/(1+2*x)/(3*x^2+2)^(1/2),x)","\frac{\sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{6}-\frac{\sqrt{11}\, \arctanh \left(\frac{2 \left(-3 x +4\right) \sqrt{11}}{11 \sqrt{-12 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{22}+\frac{2 \sqrt{3 x^{2}+2}}{3}"," ",0,"2/3*(3*x^2+2)^(1/2)+1/6*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-1/22*11^(1/2)*arctanh(2/11*(4-3*x)*11^(1/2)/(12*(1/2+x)^2-12*x+5)^(1/2))","A"
122,1,65,56,0.011000," ","int((4*x^2+3*x+1)/(1+2*x)^2/(3*x^2+2)^(1/2),x)","\frac{\sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{3}+\frac{4 \sqrt{11}\, \arctanh \left(\frac{2 \left(-3 x +4\right) \sqrt{11}}{11 \sqrt{-12 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{121}-\frac{\sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{22 \left(x +\frac{1}{2}\right)}"," ",0,"1/3*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+4/121*11^(1/2)*arctanh(2/11*(-3*x+4)*11^(1/2)/(-12*x+12*(x+1/2)^2+5)^(1/2))-1/22/(x+1/2)*(3*(x+1/2)^2-3*x+5/4)^(1/2)","A"
123,1,74,62,0.012000," ","int((4*x^2+3*x+1)/(1+2*x)^3/(3*x^2+2)^(1/2),x)","-\frac{103 \sqrt{11}\, \arctanh \left(\frac{2 \left(-3 x +4\right) \sqrt{11}}{11 \sqrt{-12 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{1331}+\frac{13 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{484 \left(x +\frac{1}{2}\right)}-\frac{\sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{88 \left(x +\frac{1}{2}\right)^{2}}"," ",0,"-103/1331*11^(1/2)*arctanh(2/11*(-3*x+4)*11^(1/2)/(-12*x+12*(x+1/2)^2+5)^(1/2))+13/484/(x+1/2)*(-3*x+3*(x+1/2)^2+5/4)^(1/2)-1/88/(x+1/2)^2*(-3*x+3*(x+1/2)^2+5/4)^(1/2)","A"
124,1,79,66,0.014000," ","int((1+2*x)^3*(4*x^2+3*x+1)/(3*x^2+2)^(3/2),x)","\frac{32 x^{4}}{9 \sqrt{3 x^{2}+2}}+\frac{12 x^{3}}{\sqrt{3 x^{2}+2}}+\frac{356 x^{2}}{27 \sqrt{3 x^{2}+2}}+\frac{79 x}{6 \sqrt{3 x^{2}+2}}-\frac{38 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}+\frac{1181}{81 \sqrt{3 x^{2}+2}}"," ",0,"32/9*x^4/(3*x^2+2)^(1/2)+356/27*x^2/(3*x^2+2)^(1/2)+1181/81/(3*x^2+2)^(1/2)+12*x^3/(3*x^2+2)^(1/2)+79/6*x/(3*x^2+2)^(1/2)-38/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
125,1,65,52,0.006000," ","int((1+2*x)^2*(4*x^2+3*x+1)/(3*x^2+2)^(3/2),x)","\frac{8 x^{3}}{3 \sqrt{3 x^{2}+2}}+\frac{28 x^{2}}{3 \sqrt{3 x^{2}+2}}-\frac{5 x}{6 \sqrt{3 x^{2}+2}}+\frac{4 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}+\frac{91}{9 \sqrt{3 x^{2}+2}}"," ",0,"8/3/(3*x^2+2)^(1/2)*x^3-5/6/(3*x^2+2)^(1/2)*x+4/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)+28/3/(3*x^2+2)^(1/2)*x^2+91/9/(3*x^2+2)^(1/2)","A"
126,1,51,40,0.005000," ","int((1+2*x)*(4*x^2+3*x+1)/(3*x^2+2)^(3/2),x)","\frac{8 x^{2}}{3 \sqrt{3 x^{2}+2}}-\frac{17 x}{6 \sqrt{3 x^{2}+2}}+\frac{10 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{9}+\frac{17}{9 \sqrt{3 x^{2}+2}}"," ",0,"8/3/(3*x^2+2)^(1/2)*x^2+17/9/(3*x^2+2)^(1/2)-17/6/(3*x^2+2)^(1/2)*x+10/9*arcsinh(1/2*6^(1/2)*x)*3^(1/2)","A"
127,1,88,42,0.009000," ","int((4*x^2+3*x+1)/(1+2*x)/(3*x^2+2)^(3/2),x)","\frac{x}{4 \sqrt{3 x^{2}+2}}+\frac{3 x}{44 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{2 \sqrt{11}\, \arctanh \left(\frac{2 \left(-3 x +4\right) \sqrt{11}}{11 \sqrt{-12 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{121}-\frac{2}{3 \sqrt{3 x^{2}+2}}+\frac{1}{11 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}"," ",0,"-2/3/(3*x^2+2)^(1/2)+1/4/(3*x^2+2)^(1/2)*x+1/11/(-3*x+3*(x+1/2)^2+5/4)^(1/2)+3/44*x/(-3*x+3*(x+1/2)^2+5/4)^(1/2)-2/121*11^(1/2)*arctanh(2/11*(-3*x+4)*11^(1/2)/(-12*x+12*(x+1/2)^2+5)^(1/2))","B"
128,1,98,60,0.012000," ","int((4*x^2+3*x+1)/(1+2*x)^2/(3*x^2+2)^(3/2),x)","\frac{x}{2 \sqrt{3 x^{2}+2}}-\frac{18 x}{121 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}+\frac{4 \sqrt{11}\, \arctanh \left(\frac{2 \left(-3 x +4\right) \sqrt{11}}{11 \sqrt{-12 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{1331}-\frac{2}{121 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{1}{22 \left(x +\frac{1}{2}\right) \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}"," ",0,"1/2/(3*x^2+2)^(1/2)*x-2/121/(-3*x+3*(x+1/2)^2+5/4)^(1/2)-18/121/(-3*x+3*(x+1/2)^2+5/4)^(1/2)*x+4/1331*11^(1/2)*arctanh(2/11*(-3*x+4)*11^(1/2)/(-12*x+12*(x+1/2)^2+5)^(1/2))-1/22/(x+1/2)/(-3*x+3*(x+1/2)^2+5/4)^(1/2)","A"
129,1,107,78,0.011000," ","int((4*x^2+3*x+1)/(1+2*x)^3/(3*x^2+2)^(3/2),x)","\frac{357 x}{2662 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{322 \sqrt{11}\, \arctanh \left(\frac{2 \left(-3 x +4\right) \sqrt{11}}{11 \sqrt{-12 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{14641}+\frac{161}{1331 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}+\frac{7}{484 \left(x +\frac{1}{2}\right) \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{1}{88 \left(x +\frac{1}{2}\right)^{2} \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}"," ",0,"161/1331/(-3*x+3*(x+1/2)^2+5/4)^(1/2)+357/2662/(-3*x+3*(x+1/2)^2+5/4)^(1/2)*x-322/14641*11^(1/2)*arctanh(2/11*(-3*x+4)*11^(1/2)/(-12*x+12*(x+1/2)^2+5)^(1/2))+7/484/(x+1/2)/(-3*x+3*(x+1/2)^2+5/4)^(1/2)-1/88/(x+1/2)^2/(-3*x+3*(x+1/2)^2+5/4)^(1/2)","A"
130,1,91,56,0.014000," ","int((1+2*x)^3*(4*x^2+3*x+1)/(3*x^2+2)^(5/2),x)","\frac{32 x^{4}}{3 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{8 x^{3}}{\left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{52 x^{2}}{9 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{107 x}{18 \sqrt{3 x^{2}+2}}-\frac{65 x}{18 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{8 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{3}+\frac{127}{81 \left(3 x^{2}+2\right)^{\frac{3}{2}}}"," ",0,"32/3*x^4/(3*x^2+2)^(3/2)+52/9*x^2/(3*x^2+2)^(3/2)+127/81/(3*x^2+2)^(3/2)-8*x^3/(3*x^2+2)^(3/2)-107/18/(3*x^2+2)^(1/2)*x+8/3*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-65/18*x/(3*x^2+2)^(3/2)","A"
131,1,77,45,0.008000," ","int((1+2*x)^2*(4*x^2+3*x+1)/(3*x^2+2)^(5/2),x)","-\frac{16 x^{3}}{9 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{28 x^{2}}{3 \left(3 x^{2}+2\right)^{\frac{3}{2}}}-\frac{x}{2 \sqrt{3 x^{2}+2}}-\frac{37 x}{18 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{16 \sqrt{3}\, \arcsinh \left(\frac{\sqrt{6}\, x}{2}\right)}{27}-\frac{133}{27 \left(3 x^{2}+2\right)^{\frac{3}{2}}}"," ",0,"-16/9/(3*x^2+2)^(3/2)*x^3-1/2/(3*x^2+2)^(1/2)*x+16/27*arcsinh(1/2*6^(1/2)*x)*3^(1/2)-28/3/(3*x^2+2)^(3/2)*x^2-133/27/(3*x^2+2)^(3/2)-37/18/(3*x^2+2)^(3/2)*x","A"
132,1,27,33,0.005000," ","int((1+2*x)*(4*x^2+3*x+1)/(3*x^2+2)^(5/2),x)","\frac{117 x^{3}-144 x^{2}+27 x -94}{54 \left(3 x^{2}+2\right)^{\frac{3}{2}}}"," ",0,"1/54*(117*x^3-144*x^2+27*x-94)/(3*x^2+2)^(3/2)","A"
133,1,133,58,0.009000," ","int((4*x^2+3*x+1)/(1+2*x)/(3*x^2+2)^(5/2),x)","\frac{x}{12 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{x}{12 \sqrt{3 x^{2}+2}}+\frac{x}{44 \left(-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}+\frac{23 x}{484 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{8 \sqrt{11}\, \arctanh \left(\frac{2 \left(-3 x +4\right) \sqrt{11}}{11 \sqrt{-12 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{1331}-\frac{2}{9 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{1}{33 \left(-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}+\frac{4}{121 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}"," ",0,"-2/9/(3*x^2+2)^(3/2)+1/12/(3*x^2+2)^(3/2)*x+1/12/(3*x^2+2)^(1/2)*x+1/33/(-3*x+3*(x+1/2)^2+5/4)^(3/2)+1/44*x/(-3*x+3*(x+1/2)^2+5/4)^(3/2)+23/484/(-3*x+3*(x+1/2)^2+5/4)^(1/2)*x+4/121/(-3*x+3*(x+1/2)^2+5/4)^(1/2)-8/1331*11^(1/2)*arctanh(2/11*(-3*x+4)*11^(1/2)/(-12*x+12*(x+1/2)^2+5)^(1/2))","B"
134,1,143,76,0.013000," ","int((4*x^2+3*x+1)/(1+2*x)^2/(3*x^2+2)^(5/2),x)","\frac{x}{6 \left(3 x^{2}+2\right)^{\frac{3}{2}}}+\frac{x}{6 \sqrt{3 x^{2}+2}}-\frac{10 x}{121 \left(-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}-\frac{98 x}{1331 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{32 \sqrt{11}\, \arctanh \left(\frac{2 \left(-3 x +4\right) \sqrt{11}}{11 \sqrt{-12 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{14641}+\frac{4}{363 \left(-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}+\frac{16}{1331 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{1}{22 \left(x +\frac{1}{2}\right) \left(-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}"," ",0,"1/6/(3*x^2+2)^(3/2)*x+1/6/(3*x^2+2)^(1/2)*x+4/363/(-3*x+3*(x+1/2)^2+5/4)^(3/2)-10/121/(-3*x+3*(x+1/2)^2+5/4)^(3/2)*x-98/1331/(-3*x+3*(x+1/2)^2+5/4)^(1/2)*x+16/1331/(-3*x+3*(x+1/2)^2+5/4)^(1/2)-32/14641*11^(1/2)*arctanh(2/11*(-3*x+4)*11^(1/2)/(-12*x+12*(x+1/2)^2+5)^(1/2))-1/22/(x+1/2)/(-3*x+3*(x+1/2)^2+5/4)^(3/2)","A"
135,1,140,94,0.014000," ","int((4*x^2+3*x+1)/(1+2*x)^3/(3*x^2+2)^(5/2),x)","\frac{87 x}{2662 \left(-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}+\frac{1869 x}{29282 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{1216 \sqrt{11}\, \arctanh \left(\frac{2 \left(-3 x +4\right) \sqrt{11}}{11 \sqrt{-12 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{161051}+\frac{152}{3993 \left(-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}+\frac{608}{14641 \sqrt{-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}+\frac{1}{484 \left(x +\frac{1}{2}\right) \left(-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}-\frac{1}{88 \left(x +\frac{1}{2}\right)^{2} \left(-3 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}"," ",0,"152/3993/(-3*x+3*(x+1/2)^2+5/4)^(3/2)+87/2662/(-3*x+3*(x+1/2)^2+5/4)^(3/2)*x+1869/29282/(-3*x+3*(x+1/2)^2+5/4)^(1/2)*x+608/14641/(-3*x+3*(x+1/2)^2+5/4)^(1/2)-1216/161051*11^(1/2)*arctanh(2/11*(-3*x+4)*11^(1/2)/(-12*x+12*(x+1/2)^2+5)^(1/2))+1/484/(x+1/2)/(-3*x+3*(x+1/2)^2+5/4)^(3/2)-1/88/(x+1/2)^2/(-3*x+3*(x+1/2)^2+5/4)^(3/2)","A"
136,0,0,396,0.114000," ","int((h*x+g)^m*(c*x^2+a)^p*(f*x^2+e*x+d),x)","\int \left(f \,x^{2}+e x +d \right) \left(c \,x^{2}+a \right)^{p} \left(h x +g \right)^{m}\, dx"," ",0,"int((h*x+g)^m*(c*x^2+a)^p*(f*x^2+e*x+d),x)","F"
137,0,0,357,0.028000," ","int((h*x+g)^m*(f*x^2+e*x+d)*(c*x^2+a)^(1/2),x)","\int \left(f \,x^{2}+e x +d \right) \sqrt{c \,x^{2}+a}\, \left(h x +g \right)^{m}\, dx"," ",0,"int((h*x+g)^m*(f*x^2+e*x+d)*(c*x^2+a)^(1/2),x)","F"
138,0,0,428,0.046000," ","int((h*x+g)^(-3-2*p)*(c*x^2+a)^p*(f*x^2+e*x+d),x)","\int \left(f \,x^{2}+e x +d \right) \left(c \,x^{2}+a \right)^{p} \left(h x +g \right)^{-2 p -3}\, dx"," ",0,"int((h*x+g)^(-3-2*p)*(c*x^2+a)^p*(f*x^2+e*x+d),x)","F"
139,0,0,224,0.177000," ","int((e*x+d)^m*(c*e^2*x^2+b*e^2*x+b*d*e-c*d^2)^p*(-(-b*e+c*d)*f+(b*e*g-c*d*g+c*e*f)*x+c*e*g*x^2),x)","\int \left(c e g \,x^{2}-\left(-b e +c d \right) f +\left(b e g -c d g +c e f \right) x \right) \left(e x +d \right)^{m} \left(c \,e^{2} x^{2}+b \,e^{2} x +b d e -c \,d^{2}\right)^{p}\, dx"," ",0,"int((e*x+d)^m*(c*e^2*x^2+b*e^2*x+b*d*e-c*d^2)^p*(-(-b*e+c*d)*f+(b*e*g-c*d*g+c*e*f)*x+c*e*g*x^2),x)","F"
140,1,343,238,0.001000," ","int((c*x^2+b*x+a)^4*(C*x^2+A),x)","\frac{C \,c^{4} x^{11}}{11}+\frac{2 C b \,c^{3} x^{10}}{5}+\frac{\left(A \,c^{4}+\left(4 b^{2} c^{2}+2 \left(2 a c +b^{2}\right) c^{2}\right) C \right) x^{9}}{9}+\frac{\left(4 A b \,c^{3}+\left(4 a b \,c^{2}+4 \left(2 a c +b^{2}\right) b c \right) C \right) x^{8}}{8}+2 A \,a^{3} b \,x^{2}+\frac{\left(\left(4 b^{2} c^{2}+2 \left(2 a c +b^{2}\right) c^{2}\right) A +\left(2 a^{2} c^{2}+8 a \,b^{2} c +\left(2 a c +b^{2}\right)^{2}\right) C \right) x^{7}}{7}+A \,a^{4} x +\frac{\left(\left(4 a b \,c^{2}+4 \left(2 a c +b^{2}\right) b c \right) A +\left(4 a^{2} b c +4 \left(2 a c +b^{2}\right) a b \right) C \right) x^{6}}{6}+\frac{\left(\left(2 a^{2} c^{2}+8 a \,b^{2} c +\left(2 a c +b^{2}\right)^{2}\right) A +\left(4 a^{2} b^{2}+2 \left(2 a c +b^{2}\right) a^{2}\right) C \right) x^{5}}{5}+\frac{\left(4 C \,a^{3} b +\left(4 a^{2} b c +4 \left(2 a c +b^{2}\right) a b \right) A \right) x^{4}}{4}+\frac{\left(C \,a^{4}+\left(4 a^{2} b^{2}+2 \left(2 a c +b^{2}\right) a^{2}\right) A \right) x^{3}}{3}"," ",0,"1/11*c^4*C*x^11+2/5*b*c^3*C*x^10+1/9*((2*(2*a*c+b^2)*c^2+4*b^2*c^2)*C+c^4*A)*x^9+1/8*((4*a*b*c^2+4*(2*a*c+b^2)*b*c)*C+4*b*c^3*A)*x^8+1/7*((2*a^2*c^2+8*a*b^2*c+(2*a*c+b^2)^2)*C+(2*(2*a*c+b^2)*c^2+4*b^2*c^2)*A)*x^7+1/6*((4*a^2*b*c+4*a*b*(2*a*c+b^2))*C+(4*a*b*c^2+4*(2*a*c+b^2)*b*c)*A)*x^6+1/5*((2*a^2*(2*a*c+b^2)+4*a^2*b^2)*C+(2*a^2*c^2+8*a*b^2*c+(2*a*c+b^2)^2)*A)*x^5+1/4*(4*a^3*b*C+(4*a^2*b*c+4*a*b*(2*a*c+b^2))*A)*x^4+1/3*(a^4*C+(2*a^2*(2*a*c+b^2)+4*a^2*b^2)*A)*x^3+2*a^3*A*b*x^2+a^4*A*x","A"
141,1,223,145,0.001000," ","int((c*x^2+b*x+a)^3*(C*x^2+A),x)","\frac{C \,c^{3} x^{9}}{9}+\frac{3 C b \,c^{2} x^{8}}{8}+\frac{\left(A \,c^{3}+\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) C \right) x^{7}}{7}+\frac{3 A \,a^{2} b \,x^{2}}{2}+\frac{\left(3 A b \,c^{2}+\left(4 a b c +\left(2 a c +b^{2}\right) b \right) C \right) x^{6}}{6}+A \,a^{3} x +\frac{\left(\left(a \,c^{2}+2 b^{2} c +\left(2 a c +b^{2}\right) c \right) A +\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) C \right) x^{5}}{5}+\frac{\left(3 C \,a^{2} b +\left(4 a b c +\left(2 a c +b^{2}\right) b \right) A \right) x^{4}}{4}+\frac{\left(C \,a^{3}+\left(a^{2} c +2 a \,b^{2}+\left(2 a c +b^{2}\right) a \right) A \right) x^{3}}{3}"," ",0,"1/9*C*c^3*x^9+3/8*b*c^2*C*x^8+1/7*((a*c^2+2*b^2*c+c*(2*a*c+b^2))*C+c^3*A)*x^7+1/6*((4*a*b*c+b*(2*a*c+b^2))*C+3*b*c^2*A)*x^6+1/5*((a*(2*a*c+b^2)+2*b^2*a+c*a^2)*C+(a*c^2+2*b^2*c+c*(2*a*c+b^2))*A)*x^5+1/4*(3*a^2*b*C+(4*a*b*c+b*(2*a*c+b^2))*A)*x^4+1/3*(a^3*C+(a*(2*a*c+b^2)+2*b^2*a+c*a^2)*A)*x^3+3/2*a^2*A*b*x^2+A*a^3*x","A"
142,1,90,86,0.001000," ","int((c*x^2+b*x+a)^2*(C*x^2+A),x)","\frac{C \,c^{2} x^{7}}{7}+\frac{C b c \,x^{6}}{3}+A a b \,x^{2}+\frac{\left(A \,c^{2}+\left(2 a c +b^{2}\right) C \right) x^{5}}{5}+A \,a^{2} x +\frac{\left(2 b c A +2 a b C \right) x^{4}}{4}+\frac{\left(C \,a^{2}+\left(2 a c +b^{2}\right) A \right) x^{3}}{3}"," ",0,"1/7*C*c^2*x^7+1/3*b*c*C*x^6+1/5*(A*c^2+(2*a*c+b^2)*C)*x^5+1/4*(2*A*b*c+2*C*a*b)*x^4+1/3*(A*(2*a*c+b^2)+a^2*C)*x^3+a*A*b*x^2+A*a^2*x","A"
143,1,39,38,0.000000," ","int((c*x^2+b*x+a)*(C*x^2+A),x)","\frac{C c \,x^{5}}{5}+\frac{C b \,x^{4}}{4}+\frac{A b \,x^{2}}{2}+A a x +\frac{\left(A c +a C \right) x^{3}}{3}"," ",0,"A*a*x+1/2*A*b*x^2+1/3*(A*c+C*a)*x^3+1/4*b*C*x^4+1/5*C*c*x^5","A"
144,1,140,75,0.006000," ","int((C*x^2+A)/(c*x^2+b*x+a),x)","\frac{2 A \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}-\frac{2 C a \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{C \,b^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{C b \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{C x}{c}"," ",0,"C/c*x-1/2*b*C*ln(c*x^2+b*x+a)/c^2+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*C+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*C","A"
145,1,146,97,0.008000," ","int((C*x^2+A)/(c*x^2+b*x+a)^2,x)","\frac{4 A c \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{4 C a \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{\frac{\left(A c +a C \right) b}{\left(4 a c -b^{2}\right) c}+\frac{\left(2 A \,c^{2}-2 C a c +C \,b^{2}\right) x}{\left(4 a c -b^{2}\right) c}}{c \,x^{2}+b x +a}"," ",0,"((2*A*c^2-2*C*a*c+C*b^2)/c/(4*a*c-b^2)*x+b/c*(A*c+C*a)/(4*a*c-b^2))/(c*x^2+b*x+a)+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*c+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*C","A"
146,1,373,155,0.011000," ","int((C*x^2+A)/(c*x^2+b*x+a)^3,x)","\frac{12 A \,c^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{4 C a c \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{2 C \,b^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{\frac{\left(6 A \,c^{2}+2 C a c +C \,b^{2}\right) c \,x^{3}}{16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}}+\frac{3 \left(6 A \,c^{2}+2 C a c +C \,b^{2}\right) b \,x^{2}}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}+\frac{\left(10 A a c -A \,b^{2}+6 C \,a^{2}\right) b}{32 a^{2} c^{2}-16 a \,b^{2} c +2 b^{4}}+\frac{\left(10 A a \,c^{2}+2 A \,b^{2} c -2 C \,a^{2} c +5 C a \,b^{2}\right) x}{16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"(c*(6*A*c^2+2*C*a*c+C*b^2)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^3+3/2*b*(6*A*c^2+2*C*a*c+C*b^2)/(16*a^2*c^2-8*a*b^2*c+b^4)*x^2+(10*A*a*c^2+2*A*b^2*c-2*C*a^2*c+5*C*a*b^2)/(16*a^2*c^2-8*a*b^2*c+b^4)*x+1/2*b*(10*A*a*c-A*b^2+6*C*a^2)/(16*a^2*c^2-8*a*b^2*c+b^4))/(c*x^2+b*x+a)^2+12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A*c^2+4/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*C*a*c+2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*C*b^2","B"
147,1,643,200,0.015000," ","int((C*x^2+A)/(c*x^2+b*x+a)^4,x)","\frac{40 A \,c^{3} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(64 c^{3} a^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right) \sqrt{4 a c -b^{2}}}+\frac{8 C a \,c^{2} \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(64 c^{3} a^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right) \sqrt{4 a c -b^{2}}}+\frac{8 C \,b^{2} c \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(64 c^{3} a^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right) \sqrt{4 a c -b^{2}}}+\frac{\frac{4 \left(5 A \,c^{2}+C a c +C \,b^{2}\right) c^{3} x^{5}}{64 c^{3} a^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}}+\frac{10 \left(5 A \,c^{2}+C a c +C \,b^{2}\right) b \,c^{2} x^{4}}{64 c^{3} a^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}}+\frac{2 \left(16 a c +11 b^{2}\right) \left(5 A \,c^{2}+C a c +C \,b^{2}\right) c \,x^{3}}{3 \left(64 c^{3} a^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right)}+\frac{\left(16 a c +b^{2}\right) \left(5 A \,c^{2}+C a c +C \,b^{2}\right) b \,x^{2}}{64 c^{3} a^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}}+\frac{\left(66 A \,a^{2} c^{2}-13 A a \,b^{2} c +A \,b^{4}+26 C \,a^{3} c +C \,a^{2} b^{2}\right) b}{192 c^{3} a^{3}-144 a^{2} b^{2} c^{2}+36 a \,b^{4} c -3 b^{6}}+\frac{\left(44 A \,a^{2} c^{3}+18 A a \,b^{2} c^{2}-A \,b^{4} c -4 C \,a^{3} c^{2}+22 C \,a^{2} b^{2} c +C a \,b^{4}\right) x}{64 c^{3} a^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}}}{\left(c \,x^{2}+b x +a \right)^{3}}"," ",0,"(4*c^3*(5*A*c^2+C*a*c+C*b^2)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)*x^5+10*c^2*(5*A*c^2+C*a*c+C*b^2)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)*b*x^4+2/3*(16*a*c+11*b^2)*c*(5*A*c^2+C*a*c+C*b^2)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)*x^3+b*(16*a*c+b^2)*(5*A*c^2+C*a*c+C*b^2)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)*x^2+(44*A*a^2*c^3+18*A*a*b^2*c^2-A*b^4*c-4*C*a^3*c^2+22*C*a^2*b^2*c+C*a*b^4)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)*x+1/3*(66*A*a^2*c^2-13*A*a*b^2*c+A*b^4+26*C*a^3*c+C*a^2*b^2)*b/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6))/(c*x^2+b*x+a)^3+40*c^3/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*A+8*c^2/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*C*a+8*c/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*C*b^2","B"
148,1,1738,579,0.012000," ","int((e*x+d)^3*(h*x^2+g*x+f)/(c*x^2+b*x+a),x)","\frac{e^{3} h \,x^{4}}{4 c}-\frac{b \,e^{3} h \,x^{3}}{3 c^{2}}+\frac{d \,e^{2} h \,x^{3}}{c}+\frac{e^{3} g \,x^{3}}{3 c}-\frac{5 a^{2} b \,e^{3} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{6 a^{2} d \,e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{2 a^{2} e^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{5 a \,b^{3} e^{3} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}-\frac{12 a \,b^{2} d \,e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{4 a \,b^{2} e^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{9 a b \,d^{2} e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{9 a b d \,e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{3 a b \,e^{3} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{2 a \,d^{3} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{6 a \,d^{2} e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{6 a d \,e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{a \,e^{3} h \,x^{2}}{2 c^{2}}-\frac{b^{5} e^{3} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{5}}+\frac{3 b^{4} d \,e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}+\frac{b^{4} e^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}-\frac{3 b^{3} d^{2} e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{3 b^{3} d \,e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{b^{3} e^{3} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{b^{2} d^{3} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{3 b^{2} d^{2} e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{3 b^{2} d \,e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{b^{2} e^{3} h \,x^{2}}{2 c^{3}}-\frac{b \,d^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{3 b \,d^{2} e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{3 b d \,e^{2} h \,x^{2}}{2 c^{2}}-\frac{b \,e^{3} g \,x^{2}}{2 c^{2}}+\frac{3 d^{2} e h \,x^{2}}{2 c}+\frac{3 d \,e^{2} g \,x^{2}}{2 c}+\frac{e^{3} f \,x^{2}}{2 c}+\frac{2 d^{3} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{a^{2} e^{3} h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}-\frac{3 a \,b^{2} e^{3} h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}+\frac{3 a b d \,e^{2} h \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}+\frac{a b \,e^{3} g \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}+\frac{2 a b \,e^{3} h x}{c^{3}}-\frac{3 a \,d^{2} e h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{3 a d \,e^{2} g \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{3 a d \,e^{2} h x}{c^{2}}-\frac{a \,e^{3} f \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{a \,e^{3} g x}{c^{2}}+\frac{b^{4} e^{3} h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{5}}-\frac{3 b^{3} d \,e^{2} h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}-\frac{b^{3} e^{3} g \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}-\frac{b^{3} e^{3} h x}{c^{4}}+\frac{3 b^{2} d^{2} e h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}+\frac{3 b^{2} d \,e^{2} g \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}+\frac{3 b^{2} d \,e^{2} h x}{c^{3}}+\frac{b^{2} e^{3} f \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}+\frac{b^{2} e^{3} g x}{c^{3}}-\frac{b \,d^{3} h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{3 b \,d^{2} e g \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{3 b \,d^{2} e h x}{c^{2}}-\frac{3 b d \,e^{2} f \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{3 b d \,e^{2} g x}{c^{2}}-\frac{b \,e^{3} f x}{c^{2}}+\frac{d^{3} g \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{d^{3} h x}{c}+\frac{3 d^{2} e f \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{3 d^{2} e g x}{c}+\frac{3 d \,e^{2} f x}{c}"," ",0,"1/4*e^3*h*x^4/c+1/2/c*ln(c*x^2+b*x+a)*d^3*g+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d^3*f+1/3/c*x^3*e^3*g+1/2/c*x^2*e^3*f+1/c*d^3*h*x+9/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d*e^2*g+9/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d^2*e*h-12/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*d*e^2*h-1/2/c^4*ln(c*x^2+b*x+a)*b^3*e^3*g+1/2/c^3*ln(c*x^2+b*x+a)*b^2*e^3*f-1/2/c^2*ln(c*x^2+b*x+a)*b*d^3*h+3/2/c*ln(c*x^2+b*x+a)*d^2*e*f-1/3/c^2*x^3*b*e^3*h+1/c*x^3*d*e^2*h-1/2/c^2*x^2*a*e^3*h+1/2/c^3*x^2*b^2*e^3*h-1/2/c^2*x^2*b*e^3*g+3/2/c*x^2*d^2*e*h+3/2/c*x^2*d*e^2*g+1/c^3*ln(c*x^2+b*x+a)*a*b*e^3*g-3/2/c^2*ln(c*x^2+b*x+a)*a*d^2*e*h-3/2/c^2*ln(c*x^2+b*x+a)*a*d*e^2*g-3/2/c^4*ln(c*x^2+b*x+a)*b^3*d*e^2*h+3/2/c^3*ln(c*x^2+b*x+a)*b^2*d^2*e*h+3/2/c^3*ln(c*x^2+b*x+a)*b^2*d*e^2*g-3/2/c^2*ln(c*x^2+b*x+a)*b*d^2*e*g-3/2/c^2*ln(c*x^2+b*x+a)*b*d*e^2*f+1/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*e^3*g+5/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*e^3*h+3/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*d*e^2*h-3/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d^2*e*f+3/c^3*ln(c*x^2+b*x+a)*a*b*d*e^2*h+6/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*d*e^2*h-6/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d^2*e*g-6/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d*e^2*f-4/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*e^3*g+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e^3*f-5/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*e^3*h-3/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d^2*e*h-3/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d*e^2*g+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d^2*e*g+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d*e^2*f-1/c^2*a*e^3*g*x-1/c^4*b^3*e^3*h*x+1/c^3*b^2*e^3*g*x-1/c^2*b*e^3*f*x+3/c*d^2*e*g*x+3/c*d*e^2*f*x+1/2/c^3*ln(c*x^2+b*x+a)*a^2*e^3*h-1/2/c^2*ln(c*x^2+b*x+a)*a*e^3*f+1/2/c^5*ln(c*x^2+b*x+a)*b^4*e^3*h-3/2/c^2*x^2*b*d*e^2*h+2/c^3*a*b*e^3*h*x-3/c^2*a*d*e^2*h*x+3/c^3*b^2*d*e^2*h*x-3/c^2*b*d^2*e*h*x-3/c^2*b*d*e^2*g*x-1/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e^3*f+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d^3*h-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d^3*g-1/c^5/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^5*e^3*h+2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*e^3*g-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d^3*h-3/2/c^4*ln(c*x^2+b*x+a)*a*b^2*e^3*h","B"
149,1,1028,338,0.009000," ","int((e*x+d)^2*(h*x^2+g*x+f)/(c*x^2+b*x+a),x)","\frac{e^{2} h \,x^{3}}{3 c}+\frac{2 a^{2} e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{4 a \,b^{2} e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{6 a b d e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{3 a b \,e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{2 a \,d^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{4 a d e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{2 a \,e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{b^{4} e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}-\frac{2 b^{3} d e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{b^{3} e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{b^{2} d^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{2 b^{2} d e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{b^{2} e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{b \,d^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{2 b d e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{b \,e^{2} h \,x^{2}}{2 c^{2}}+\frac{d e h \,x^{2}}{c}+\frac{e^{2} g \,x^{2}}{2 c}+\frac{2 d^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{a b \,e^{2} h \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}-\frac{a d e h \ln \left(c \,x^{2}+b x +a \right)}{c^{2}}-\frac{a \,e^{2} g \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{a \,e^{2} h x}{c^{2}}-\frac{b^{3} e^{2} h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}+\frac{b^{2} d e h \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}+\frac{b^{2} e^{2} g \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}+\frac{b^{2} e^{2} h x}{c^{3}}-\frac{b \,d^{2} h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{b d e g \ln \left(c \,x^{2}+b x +a \right)}{c^{2}}-\frac{2 b d e h x}{c^{2}}-\frac{b \,e^{2} f \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{b \,e^{2} g x}{c^{2}}+\frac{d^{2} g \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{d^{2} h x}{c}+\frac{d e f \ln \left(c \,x^{2}+b x +a \right)}{c}+\frac{2 d e g x}{c}+\frac{e^{2} f x}{c}"," ",0,"1/3*e^2*h*x^3/c+1/2/c*ln(c*x^2+b*x+a)*d^2*g+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d^2*f+1/2/c*x^2*e^2*g+1/c*d^2*h*x+1/c*e^2*f*x+6/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d*e*h-2/c^2*b*d*e*h*x-1/c^2*ln(c*x^2+b*x+a)*b*d*e*g+2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*e^2*h-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d^2*h-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*e^2*f+1/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*e^2*h+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d^2*h+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*e^2*f-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d^2*g-1/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e^2*g+1/c^3*ln(c*x^2+b*x+a)*a*b*e^2*h-1/c^2*ln(c*x^2+b*x+a)*a*d*e*h+1/c^3*ln(c*x^2+b*x+a)*b^2*d*e*h-1/2/c^4*ln(c*x^2+b*x+a)*b^3*e^2*h+1/2/c^3*ln(c*x^2+b*x+a)*b^2*e^2*g-1/2/c^2*ln(c*x^2+b*x+a)*b*d^2*h-1/2/c^2*ln(c*x^2+b*x+a)*a*e^2*g-1/2/c^2*x^2*b*e^2*h+1/c*x^2*d*e*h-1/c^2*a*e^2*h*x+1/c^3*b^2*e^2*h*x-1/c^2*b*e^2*g*x+2/c*d*e*g*x-4/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*e^2*h-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d*e*f+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e^2*g-4/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d*e*g-1/2/c^2*ln(c*x^2+b*x+a)*b*e^2*f+1/c*ln(c*x^2+b*x+a)*d*e*f-2/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d*e*h+2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d*e*g","B"
150,1,510,169,0.006000," ","int((e*x+d)*(h*x^2+g*x+f)/(c*x^2+b*x+a),x)","\frac{3 a b e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{2 a d h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{2 a e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{b^{3} e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{b^{2} d h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{b^{2} e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{b d g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{b e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{e h \,x^{2}}{2 c}+\frac{2 d f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}-\frac{a e h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{b^{2} e h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}-\frac{b d h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{b e g \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{b e h x}{c^{2}}+\frac{d g \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{d h x}{c}+\frac{e f \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{e g x}{c}"," ",0,"1/2*e*h*x^2/c-1/c^2*b*e*h*x+1/c*d*h*x+1/c*e*g*x-1/2/c^2*ln(c*x^2+b*x+a)*a*e*h+1/2/c^3*ln(c*x^2+b*x+a)*b^2*e*h-1/2/c^2*ln(c*x^2+b*x+a)*b*d*h-1/2/c^2*ln(c*x^2+b*x+a)*b*e*g+1/2/c*ln(c*x^2+b*x+a)*d*g+1/2/c*ln(c*x^2+b*x+a)*e*f+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e*h-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d*h-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*e*g+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d*f-1/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e*h+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d*h+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*e*g-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d*g-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*e*f","B"
151,1,196,86,0.004000," ","int((h*x^2+g*x+f)/(c*x^2+b*x+a),x)","-\frac{2 a h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{b^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}-\frac{b g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}+\frac{2 f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}-\frac{b h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}+\frac{g \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{h x}{c}"," ",0,"h*x/c-1/2/c^2*ln(c*x^2+b*x+a)*h*b+1/2/c*ln(c*x^2+b*x+a)*g-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*h+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*f+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*h-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*g","B"
152,1,622,190,0.009000," ","int((h*x^2+g*x+f)/(e*x+d)/(c*x^2+b*x+a),x)","-\frac{a b e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}\, c}-\frac{2 a d h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{2 a e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{b^{2} d h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}\, c}-\frac{b d g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}-\frac{b e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{2 c d f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \sqrt{4 a c -b^{2}}}+\frac{a e h \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) c}-\frac{b d h \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) c}+\frac{d^{2} h \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right) e}-\frac{d g \ln \left(e x +d \right)}{a \,e^{2}-b d e +c \,d^{2}}+\frac{d g \ln \left(c \,x^{2}+b x +a \right)}{2 a \,e^{2}-2 b d e +2 c \,d^{2}}+\frac{e f \ln \left(e x +d \right)}{a \,e^{2}-b d e +c \,d^{2}}-\frac{e f \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)}"," ",0,"1/2/(a*e^2-b*d*e+c*d^2)/c*ln(c*x^2+b*x+a)*a*e*h-1/2/(a*e^2-b*d*e+c*d^2)/c*ln(c*x^2+b*x+a)*b*d*h+1/2/(a*e^2-b*d*e+c*d^2)*ln(c*x^2+b*x+a)*d*g-1/2/(a*e^2-b*d*e+c*d^2)*ln(c*x^2+b*x+a)*e*f-2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d*h+2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*e*g-1/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*e*f+2/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c*d*f-1/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))/c*b*a*e*h+1/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))/c*b^2*d*h-1/(a*e^2-b*d*e+c*d^2)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d*g+1/(a*e^2-b*d*e+c*d^2)/e*ln(e*x+d)*d^2*h-1/(a*e^2-b*d*e+c*d^2)*ln(e*x+d)*d*g+1/(a*e^2-b*d*e+c*d^2)*e*ln(e*x+d)*f","B"
153,1,1125,310,0.013000," ","int((h*x^2+g*x+f)/(e*x+d)^2/(c*x^2+b*x+a),x)","\frac{2 a^{2} e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 a b d e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{a b \,e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 a c \,d^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{4 a c d e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 a c \,e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{b^{2} d^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{b^{2} e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{b c \,d^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 b c d e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}+\frac{2 c^{2} d^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \sqrt{4 a c -b^{2}}}-\frac{2 a d e h \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{a d e h \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{a \,e^{2} g \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{a \,e^{2} g \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{b \,d^{2} h \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{b \,d^{2} h \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{b \,e^{2} f \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{b \,e^{2} f \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{c \,d^{2} g \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{c \,d^{2} g \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}+\frac{2 c d e f \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{c d e f \ln \left(c \,x^{2}+b x +a \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2}}-\frac{d^{2} h}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right) e}+\frac{d g}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)}-\frac{e f}{\left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)}"," ",0,"-1/(a*e^2-b*d*e+c*d^2)*e/(e*x+d)*f+1/(a*e^2-b*d*e+c*d^2)/(e*x+d)*d*g-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c*e^2*f-1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*d^2*g-1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e^2*g-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c*d^2*h-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c*d*e*f-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d*e*h+4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c*d*e*g-1/2/(a*e^2-b*d*e+c*d^2)^2*ln(c*x^2+b*x+a)*g*e^2*a-1/2/(a*e^2-b*d*e+c*d^2)^2*ln(c*x^2+b*x+a)*b*d^2*h+1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*e^2*f+2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^2*d^2*f-2/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*a*d*e*h+2/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*c*d*f*e+1/(a*e^2-b*d*e+c*d^2)^2*ln(c*x^2+b*x+a)*a*d*e*h-1/(a*e^2-b*d*e+c*d^2)^2*c*ln(c*x^2+b*x+a)*d*f*e+2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*e^2*h+1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*d^2*h+1/2/(a*e^2-b*d*e+c*d^2)^2*ln(c*x^2+b*x+a)*f*e^2*b+1/2/(a*e^2-b*d*e+c*d^2)^2*c*ln(c*x^2+b*x+a)*g*d^2-1/(a*e^2-b*d*e+c*d^2)/e/(e*x+d)*d^2*h+1/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*a*e^2*g+1/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*b*d^2*h-1/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*b*e^2*f-1/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*c*d^2*g","B"
154,1,1945,502,0.019000," ","int((h*x^2+g*x+f)/(e*x+d)^3/(c*x^2+b*x+a),x)","-\frac{a^{2} b \,e^{3} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{6 a^{2} c d \,e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{2 a^{2} c \,e^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{a \,b^{2} e^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{3 a b c \,d^{2} e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{3 a b c d \,e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{3 a b c \,e^{3} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{2 a \,c^{2} d^{3} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{6 a \,c^{2} d^{2} e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{6 a \,c^{2} d \,e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{b^{3} e^{3} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{b^{2} c \,d^{3} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{3 b^{2} c d \,e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{b \,c^{2} d^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}-\frac{3 b \,c^{2} d^{2} e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{2 c^{3} d^{3} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3} \sqrt{4 a c -b^{2}}}+\frac{a^{2} e^{3} h \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{a^{2} e^{3} h \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{a b \,e^{3} g \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{a b \,e^{3} g \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 a c \,d^{2} e h \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 a c \,d^{2} e h \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 a c d \,e^{2} g \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 a c d \,e^{2} g \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{a c \,e^{3} f \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{a c \,e^{3} f \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{b^{2} e^{3} f \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{b^{2} e^{3} f \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{b c \,d^{3} h \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{b c \,d^{3} h \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 b c d \,e^{2} f \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 b c d \,e^{2} f \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{c^{2} d^{3} g \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{c^{2} d^{3} g \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{3 c^{2} d^{2} e f \ln \left(e x +d \right)}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}-\frac{3 c^{2} d^{2} e f \ln \left(c \,x^{2}+b x +a \right)}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right)^{3}}+\frac{2 a d e h}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{a \,e^{2} g}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{b \,d^{2} h}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{b \,e^{2} f}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}+\frac{c \,d^{2} g}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{2 c d e f}{\left(a \,e^{2}-b d e +c \,d^{2}\right)^{2} \left(e x +d \right)}-\frac{d^{2} h}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)^{2} e}+\frac{d g}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)^{2}}-\frac{e f}{2 \left(a \,e^{2}-b d e +c \,d^{2}\right) \left(e x +d \right)^{2}}"," ",0,"-3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c^2*d^2*e*f+6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*c*d*e^2*h+3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c*e^3*f+6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^2*d^2*e*g-6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^2*d*e^2*f+3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*d*e^2*f-1/2/(a*e^2-b*d*e+c*d^2)*e/(e*x+d)^2*f+1/2/(a*e^2-b*d*e+c*d^2)/(e*x+d)^2*d*g+1/2/(a*e^2-b*d*e+c*d^2)^3*ln(c*x^2+b*x+a)*g*e^3*b*a+1/2/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*f*e^3*a-1/2/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*b*d^3*h-3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c*d*e^2*g-3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c*d^2*e*h+1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*a^2*e^3*h+1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b^2*e^3*f-1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*c^2*d^3*g-1/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*a*e^2*g-1/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*b*d^2*h+1/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*b*e^2*f+1/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*c*g*d^2-3/2/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*d*g*e^2*a+3/2/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*d*f*e^2*b-1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*e^3*h-2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*c*e^3*g+1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*e^3*g-2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^2*d^3*h+1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*d^3*h-1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c^2*d^3*g+3/2/(a*e^2-b*d*e+c*d^2)^3*c*ln(c*x^2+b*x+a)*a*d^2*e*h-3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*a*c*d^2*e*h+3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*a*c*d*e^2*g-3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b*c*d*e^2*f-3/2/(a*e^2-b*d*e+c*d^2)^3*c^2*ln(c*x^2+b*x+a)*d^2*f*e-1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e^3*f+2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^3*d^3*f-1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*a*b*e^3*g-1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*a*c*e^3*f+1/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b*c*d^3*h+3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*c^2*d^2*f*e+2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*a*d*e*h-2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*c*d*e*f+1/2/(a*e^2-b*d*e+c*d^2)^3*c^2*ln(c*x^2+b*x+a)*g*d^3-1/2/(a*e^2-b*d*e+c*d^2)^3*ln(c*x^2+b*x+a)*a^2*e^3*h-1/2/(a*e^2-b*d*e+c*d^2)^3*ln(c*x^2+b*x+a)*f*e^3*b^2-1/2/(a*e^2-b*d*e+c*d^2)/e/(e*x+d)^2*d^2*h","B"
155,1,1712,283,0.016000," ","int((e*x+d)^2*(h*x^2+g*x+f)/(c*x^2+b*x+a)^2,x)","\frac{2 a^{2} e^{2} h x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}-\frac{12 a^{2} e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}-\frac{4 a \,b^{2} e^{2} h x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{12 a \,b^{2} e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}+\frac{6 a b d e h x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}-\frac{12 a b d e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}+\frac{3 a b \,e^{2} g x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}-\frac{6 a b \,e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}-\frac{2 a \,d^{2} h x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{4 a \,d^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{4 a d e g x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{8 a d e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{2 a \,e^{2} f x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{4 a \,e^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{b^{4} e^{2} h x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{3}}-\frac{2 b^{4} e^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{3}}-\frac{2 b^{3} d e h x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{2 b^{3} d e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}-\frac{b^{3} e^{2} g x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{b^{3} e^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}+\frac{b^{2} d^{2} h x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}+\frac{2 b^{2} d e g x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}+\frac{b^{2} e^{2} f x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}-\frac{b \,d^{2} g x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}-\frac{2 b \,d^{2} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{2 b d e f x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}-\frac{4 b d e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{2 c \,d^{2} f x}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{4 c \,d^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{3 a^{2} b \,e^{2} h}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{4 a^{2} d e h}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}+\frac{2 a^{2} e^{2} g}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}+\frac{a \,b^{3} e^{2} h}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{3}}-\frac{2 a \,b^{2} d e h}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}-\frac{a \,b^{2} e^{2} g}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c^{2}}+\frac{a b \,d^{2} h}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}+\frac{2 a b d e g}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}+\frac{a b \,e^{2} f}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right) c}-\frac{4 a b \,e^{2} h \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{2}}+\frac{4 a d e h \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c}+\frac{2 a \,e^{2} g \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c}-\frac{2 a \,d^{2} g}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}-\frac{4 a d e f}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{b^{3} e^{2} h \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{3}}-\frac{b^{2} d e h \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c^{2}}-\frac{b^{2} e^{2} g \ln \left(c \,x^{2}+b x +a \right)}{2 \left(4 a c -b^{2}\right) c^{2}}+\frac{b \,d^{2} f}{\left(c \,x^{2}+b x +a \right) \left(4 a c -b^{2}\right)}+\frac{e^{2} h x}{c^{2}}"," ",0,"e^2*h/c^2*x+6/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b*d*e*h-4/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*d*e*g+1/c^3/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^4*e^2*h+1/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^2*d^2*h+2/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a^2*e^2*h+1/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^2*e^2*f+4/c/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*d*e*h+1/c^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^3*e^2*h+1/c/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b*d^2*h+1/c/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b*e^2*f-1/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^3*e^2*g-3/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*b*e^2*h-1/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^2*e^2*g-6/c/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e^2*g+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*e^2*f-2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d^2*g-2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*d^2*g+1/(c*x^2+b*x+a)/(4*a*c-b^2)*b*d^2*f+4*c/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d^2*f+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d^2*h-4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d*e*f-12/c/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*e^2*h-2/c^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*e^2*h-1/2/c^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^2*e^2*g+1/c^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e^2*g+2/c/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*e^2*g-2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*e^2*f-2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*d^2*h-1/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b*d^2*g-4/(c*x^2+b*x+a)/(4*a*c-b^2)*a*d*e*f+1/c^3/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^3*e^2*h+2*c/(c*x^2+b*x+a)/(4*a*c-b^2)*x*d^2*f+2/c/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*e^2*g+8/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d*e*g+3/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b*e^2*g+2/c/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^2*d*e*g+2/c/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b*d*e*g-4/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b^2*e^2*h-2/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^3*d*e*h-2/c^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^2*d*e*h-12/c/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*d*e*h+4/c/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*d*e*h+12/c^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*e^2*h+2/c^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d*e*h-4/c^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*b*e^2*h-1/c^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^2*d*e*h-2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b*d*e*f","B"
156,1,500,172,0.012000," ","int((e*x+d)*(h*x^2+g*x+f)/(c*x^2+b*x+a)^2,x)","-\frac{6 a b e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c}+\frac{4 a d h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{4 a e g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{b^{3} e h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}} c^{2}}-\frac{2 b d g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{2 b e f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{4 c d f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{2 a e h \ln \left(c \,x^{2}+b x +a \right)}{\left(4 a c -b^{2}\right) c}-\frac{b^{2} e h \ln \left(c \,x^{2}+b x +a \right)}{2 \left(4 a c -b^{2}\right) c^{2}}+\frac{\frac{\left(3 a b c e h -2 a \,c^{2} d h -2 a \,c^{2} e g -b^{3} e h +b^{2} c d h +b^{2} c e g -b \,c^{2} d g -b \,c^{2} e f +2 c^{3} d f \right) x}{\left(4 a c -b^{2}\right) c^{2}}+\frac{2 a^{2} c e h -a \,b^{2} e h +a b c d h +a b c e g -2 a \,c^{2} d g -2 a \,c^{2} e f +b \,c^{2} d f}{\left(4 a c -b^{2}\right) c^{2}}}{c \,x^{2}+b x +a}"," ",0,"((3*a*b*c*e*h-2*a*c^2*d*h-2*a*c^2*e*g-b^3*e*h+b^2*c*d*h+b^2*c*e*g-b*c^2*d*g-b*c^2*e*f+2*c^3*d*f)/c^2/(4*a*c-b^2)*x+(2*a^2*c*e*h-a*b^2*e*h+a*b*c*d*h+a*b*c*e*g-2*a*c^2*d*g-2*a*c^2*e*f+b*c^2*d*f)/(4*a*c-b^2)/c^2)/(c*x^2+b*x+a)+2/c/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*e*h-1/2/c^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^2*e*h-6/c/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*e*h+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*d*h+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*e*g-2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*d*g-2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*e*f+4*c/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d*f+1/c^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e*h","B"
157,1,194,114,0.008000," ","int((h*x^2+g*x+f)/(c*x^2+b*x+a)^2,x)","\frac{4 a h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}-\frac{2 b g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{4 c f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(4 a c -b^{2}\right)^{\frac{3}{2}}}+\frac{-\frac{\left(2 a c h -b^{2} h +b c g -2 c^{2} f \right) x}{\left(4 a c -b^{2}\right) c}+\frac{a b h -2 a c g +b c f}{\left(4 a c -b^{2}\right) c}}{c \,x^{2}+b x +a}"," ",0,"(-(2*a*c*h-b^2*h+b*c*g-2*c^2*f)/c/(4*a*c-b^2)*x+1/c*(a*b*h-2*a*c*g+b*c*f)/(4*a*c-b^2))/(c*x^2+b*x+a)+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*h-2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*g+4/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c*f","A"
158,1,3202,401,0.023000," ","int((h*x^2+g*x+f)/(e*x+d)/(c*x^2+b*x+a)^2,x)","\text{output too large to display}"," ",0,"2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*a*d*e^2*g-4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*c*d*e^2*h+4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*d*e^2*h-6/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c*e^3*f-4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^2*d^2*e*g+12/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^2*d*e^2*f+4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*c*d^2*e*g-6/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c^2*d^2*e*f-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*a*d^2*e*h-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a^2*b*e^3*h+2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a^2*c*e^3*g-2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*c^2*d^3*h-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^3*d^2*e*h+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^2*c*d^3*h-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b*c^2*d^3*g+e^3/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*f+3/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*b*d*e^2*h-2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*c*d^2*e*h-2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*c*d*e^2*g-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^2*d^2*e*h-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^2*d*e^2*g+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b*c*d^3*h+2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*c^2*d^2*e*f-2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*b^2*c*d^2*e*f+2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*c^2*d*e^2*f+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^2*c*d^2*e*g+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b^2*c*d*e^2*f-3/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*b*c^2*d^2*e*f+3/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b*c*d^2*e*g-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c*d^2*e*h-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c*d*e^2*g-2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a^2*c*d*e^2*h+2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b^2*d*e^2*h-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b*c*d*e^2*f-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b*c*e^3*f+2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*c^2*d^2*e*g+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b*c*d^2*e*h-3/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*a*b*c*d*e^2*g+1/2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^2*d^2*e*h-1/2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^2*d*e^2*g-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*e^3*h+4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*c*e^3*g+2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*x*c^3*d^3*f+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*b*e^3*g+2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*c*e^3*f-1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^2*e^3*f-2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a*c^2*d^3*g+4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^2*d^3*h-1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d^2*e*h-1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*d*e^2*g+e/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*d^2*h-e^2/(a*e^2-b*d*e+c*d^2)^2*ln(e*x+d)*d*g-2/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*a^3*e^3*h+4/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^3*d^3*f+1/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*e^3*f+1/2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^2*e^3*f+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*b^3*d*e^2*f+1/(a*e^2-b*d*e+c*d^2)^2/(c*x^2+b*x+a)/(4*a*c-b^2)*b*c^2*d^3*f-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c^2*d^3*g-2/(a*e^2-b*d*e+c*d^2)^2/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*a*e^3*f","B"
159,1,4716,668,0.038000," ","int((h*x^2+g*x+f)/(e*x+d)^2/(c*x^2+b*x+a)^2,x)","\text{output too large to display}"," ",0,"-e^3/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*f-6/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b*c^2*d^2*e^2*f-2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*a*b*d*e^3*g+12/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*c*d^2*e^2*h-6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*c*d*e^3*g-24/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*c^2*d*e^3*f-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*a^2*b*e^4*g+4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x*a^2*d*e^3*g+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*a*b^2*e^4*f+4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^3/(4*a*c-b^2)*x*a*d^3*e*g-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*b^3*d^3*e*h-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*b^3*d*e^3*f+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x*b^2*d^3*e*g+3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x*b^2*d^2*e^2*f-4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^3/(4*a*c-b^2)*x*b*d^3*e*f+6/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*b*c*d^2*e^2*h-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^2*c*d^3*e*h-3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^2*c*d^2*e^2*g+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^2*c*d*e^3*f+4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b*c^2*d^3*e*g-6/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x*a*b*d^2*e^2*g-4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*a^2*b*d*e^3*h+3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*a*b^2*d^2*e^2*h+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*a*b^2*d*e^3*g-2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*e^4*f-1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^3*e^4*f+4/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*c^4*d^4*f-2*e^3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*a*d*h+e^3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b*d*g+2*e/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*c*d^3*h-3*e^2/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*c*d^2*g+4*e^3/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*c*d*f+4/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*a^2*d*e^3*h+4/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*a*b*e^4*f+6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*c^2*ln(c*x^2+b*x+a)*a*d^2*e^2*g+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b*c^2*d^4*h+4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*c^3*d^3*e*f+3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*b^3*c*d^2*e^2*f-8/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*c^2*ln(c*x^2+b*x+a)*a*d*e^3*f+1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*b^2*d^3*e*h-3/2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*b^2*d^2*e^2*g+2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*b^2*d*e^3*f-1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*b^2*d*e^3*h-8/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c^3*d^3*e*f-6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*c*e^4*g-24/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*c^2*d^2*e^2*h+24/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*c^2*d*e^3*g-2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*d*e^3*h+12/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*c*e^4*f-8/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^3*d^3*e*g+24/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^3*d^2*e^2*f-2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*c*d^3*e*h-3/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*c*d^2*e^2*g+4/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*c*d*e^3*f-3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*b^2*c^2*d^3*e*f-4/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*c^2*ln(c*x^2+b*x+a)*a*d^3*e*h+6/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*c^2*d^3*e*g-4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*c^2*d^3*e*h+4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*c^2*d*e^3*f+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^3*d*e^3*g-4/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a^3*c*d*e^3*h-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*b^2*d*e^3*h-3/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*b*c*e^4*f+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*b^3*e^4*f-2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a*c^3*d^4*g-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*b^4*d*e^3*f+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*b*c^3*d^4*f+2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^4/(4*a*c-b^2)*x*d^4*f+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a^3*b*e^4*h+2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a^3*c*e^4*g-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)/(4*a*c-b^2)*a^2*b^2*e^4*g+1/2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*ln(c*x^2+b*x+a)*a*b^2*e^4*g+1/2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*ln(c*x^2+b*x+a)*b^3*d*e^3*g-2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)*c*ln(c*x^2+b*x+a)*a^2*e^4*g+1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*e^4*g+4/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^3*c*e^4*h-12/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*c^2*e^4*f-2/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*c^3*d^4*g+1/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*d*e^3*g+4/(a*e^2-b*d*e+c*d^2)^3/(4*a*c-b^2)^(3/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*c^3*d^4*h-e/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*d^2*h+e^2/(a*e^2-b*d*e+c*d^2)^2/(e*x+d)*d*g+e^4/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*a*g-2*e^4/(a*e^2-b*d*e+c*d^2)^3*ln(e*x+d)*b*f+2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c/(4*a*c-b^2)*x*a^3*e^4*h-2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x*a^2*e^4*f-2/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^3/(4*a*c-b^2)*x*a*d^4*h+1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^2/(4*a*c-b^2)*x*b^2*d^4*h-1/(a*e^2-b*d*e+c*d^2)^3/(c*x^2+b*x+a)*c^3/(4*a*c-b^2)*x*b*d^4*g","B"
160,1,53,53,0.008000," ","int(x^3*(x^2+x+1)/(x^2-x+1)^2,x)","\frac{x^{2}}{2}+3 x -\frac{10 \sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+2 \ln \left(x^{2}-x +1\right)+\frac{-\frac{2 x}{3}+\frac{4}{3}}{x^{2}-x +1}"," ",0,"1/2*x^2+3*x+(-2/3*x+4/3)/(x^2-x+1)+2*ln(x^2-x+1)-10/9*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
161,1,46,46,0.007000," ","int(x^2*(x^2+x+1)/(x^2-x+1)^2,x)","x +\frac{7 \sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{3 \ln \left(x^{2}-x +1\right)}{2}+\frac{-\frac{4 x}{3}+\frac{2}{3}}{x^{2}-x +1}"," ",0,"x+(-4/3*x+2/3)/(x^2-x+1)+3/2*ln(x^2-x+1)+7/9*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
162,1,45,43,0.005000," ","int(x*(x^2+x+1)/(x^2-x+1)^2,x)","\frac{11 \sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\ln \left(x^{2}-x +1\right)}{2}+\frac{-\frac{2 x}{3}-\frac{2}{3}}{x^{2}-x +1}"," ",0,"(-2/3*x-2/3)/(x^2-x+1)+1/2*ln(x^2-x+1)+11/9*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
163,1,34,34,0.005000," ","int((x^2+x+1)/(x^2-x+1)^2,x)","\frac{10 \sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\frac{\frac{2 x}{3}-\frac{4}{3}}{x^{2}-x +1}"," ",0,"(2/3*x-4/3)/(x^2-x+1)+10/9*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
164,1,48,47,0.009000," ","int((x^2+x+1)/x/(x^2-x+1)^2,x)","\frac{11 \sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+\ln \left(x \right)-\frac{\ln \left(x^{2}-x +1\right)}{2}-\frac{-\frac{4 x}{3}+\frac{2}{3}}{x^{2}-x +1}"," ",0,"-(-4/3*x+2/3)/(x^2-x+1)-1/2*ln(x^2-x+1)+11/9*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))+ln(x)","A"
165,1,55,52,0.011000," ","int((x^2+x+1)/x^2/(x^2-x+1)^2,x)","\frac{7 \sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+3 \ln \left(x \right)-\frac{3 \ln \left(x^{2}-x +1\right)}{2}-\frac{1}{x}-\frac{-\frac{2 x}{3}-\frac{2}{3}}{x^{2}-x +1}"," ",0,"-(-2/3*x-2/3)/(x^2-x+1)-3/2*ln(x^2-x+1)+7/9*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/x+3*ln(x)","A"
166,1,60,59,0.011000," ","int((x^2+x+1)/x^3/(x^2-x+1)^2,x)","-\frac{10 \sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{9}+4 \ln \left(x \right)-2 \ln \left(x^{2}-x +1\right)-\frac{3}{x}-\frac{1}{2 x^{2}}-\frac{\frac{2 x}{3}-\frac{4}{3}}{x^{2}-x +1}"," ",0,"-(2/3*x-4/3)/(x^2-x+1)-2*ln(x^2-x+1)-10/9*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))-1/2/x^2-3/x+4*ln(x)","A"
167,1,11,10,0.004000," ","int((-x^2+1)/(x^2+x+1)^2,x)","\frac{x}{x^{2}+x +1}"," ",0,"x/(x^2+x+1)","A"
168,1,28,27,0.003000," ","int((x^2+1)/(x^2+x+1),x)","x +\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}-\frac{\ln \left(x^{2}+x +1\right)}{2}"," ",0,"x-1/2*ln(x^2+x+1)+1/3*arctan(1/3*(1+2*x)*3^(1/2))*3^(1/2)","A"
169,1,22,21,0.005000," ","int((x^2-1)/(x^2-6*x+25),x)","x -2 \arctan \left(\frac{x}{4}-\frac{3}{4}\right)+3 \ln \left(x^{2}-6 x +25\right)"," ",0,"x-2*arctan(-3/4+1/4*x)+3*ln(x^2-6*x+25)","A"
170,1,18,21,0.007000," ","int((3*x^2-10)/(x^2-4*x+4),x)","3 x +12 \ln \left(x -2\right)-\frac{2}{x -2}"," ",0,"3*x+12*ln(x-2)-2/(x-2)","A"
171,1,15,18,0.006000," ","int((x^2+8)/(x^2-5*x+6),x)","x +17 \ln \left(x -3\right)-12 \ln \left(x -2\right)"," ",0,"x-12*ln(x-2)+17*ln(x-3)","A"
172,1,13,14,0.006000," ","int((x^2+3*x-4)/(x^2-2*x-8),x)","x +\ln \left(x +2\right)+4 \ln \left(x -4\right)"," ",0,"x+ln(2+x)+4*ln(x-4)","A"
173,1,22,21,0.004000," ","int((4*x^2+5*x+7)/(4*x^2+4*x+5),x)","x +\frac{3 \arctan \left(x +\frac{1}{2}\right)}{8}+\frac{\ln \left(4 x^{2}+4 x +5\right)}{8}"," ",0,"x+3/8*arctan(x+1/2)+1/8*ln(4*x^2+4*x+5)","A"
174,1,30,36,0.003000," ","int((x^2-x+2)/(x^2+2*x-5),x)","x -\frac{5 \sqrt{6}\, \arctanh \left(\frac{\left(2 x +2\right) \sqrt{6}}{12}\right)}{3}-\frac{3 \ln \left(x^{2}+2 x -5\right)}{2}"," ",0,"x-3/2*ln(x^2+2*x-5)-5/3*6^(1/2)*arctanh(1/12*(2*x+2)*6^(1/2))","A"
175,1,17,19,0.005000," ","int((3*x^2+4*x+1)/(2*x^2+7*x+4)^2,x)","\frac{-\frac{3 x}{4}-\frac{1}{2}}{x^{2}+\frac{7}{2} x +2}"," ",0,"(-3/4*x-1/2)/(x^2+7/2*x+2)","A"
176,1,34,32,0.006000," ","int((x^2+x+1)/(x^2+2*x+3)^2,x)","\frac{3 \sqrt{2}\, \arctan \left(\frac{\left(2 x +2\right) \sqrt{2}}{4}\right)}{8}+\frac{-\frac{x}{4}+\frac{1}{4}}{x^{2}+2 x +3}"," ",0,"(-1/4*x+1/4)/(x^2+2*x+3)+3/8*2^(1/2)*arctan(1/4*(2*x+2)*2^(1/2))","A"
177,1,12,11,0.005000," ","int((5*x^2+2*x-1)/(x^2+x+1)^4,x)","-\frac{x}{\left(x^{2}+x +1\right)^{3}}"," ",0,"-x/(x^2+x+1)^3","A"
178,1,997,237,0.011000," ","int((c*x^2+b*x+a)^(5/2)*(C*x^2+A),x)","\frac{5 A \,a^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 \sqrt{c}}-\frac{15 A \,a^{2} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{3}{2}}}+\frac{15 A a \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{5}{2}}}-\frac{5 A \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}-\frac{5 C \,a^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{3}{2}}}+\frac{15 C \,a^{3} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}-\frac{75 C \,a^{2} b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{7}{2}}}+\frac{35 C a \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{9}{2}}}-\frac{45 C \,b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32768 c^{\frac{11}{2}}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} x}{16}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{2} x}{32 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{4} x}{256 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, C \,a^{3} x}{128 c}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, C \,a^{2} b^{2} x}{512 c^{2}}-\frac{95 \sqrt{c \,x^{2}+b x +a}\, C a \,b^{4} x}{2048 c^{3}}+\frac{45 \sqrt{c \,x^{2}+b x +a}\, C \,b^{6} x}{8192 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,a^{2} b}{32 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, A a \,b^{3}}{64 c^{2}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a x}{24}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, A \,b^{5}}{512 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{2} x}{96 c}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, C \,a^{3} b}{256 c^{2}}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, C \,a^{2} b^{3}}{1024 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C \,a^{2} x}{192 c}-\frac{95 \sqrt{c \,x^{2}+b x +a}\, C a \,b^{5}}{4096 c^{4}}+\frac{25 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C a \,b^{2} x}{384 c^{2}}+\frac{45 \sqrt{c \,x^{2}+b x +a}\, C \,b^{7}}{16384 c^{5}}-\frac{15 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C \,b^{4} x}{1024 c^{3}}+\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A a b}{48 c}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A \,b^{3}}{192 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A x}{6}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C \,a^{2} b}{384 c^{2}}+\frac{25 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C a \,b^{3}}{768 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} C a x}{48 c}-\frac{15 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C \,b^{5}}{2048 c^{4}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} C \,b^{2} x}{64 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} A b}{12 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} C a b}{96 c^{2}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} C \,b^{3}}{128 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} C x}{8 c}-\frac{9 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} C b}{112 c^{2}}"," ",0,"-9/112*b*C*(c*x^2+b*x+a)^(7/2)/c^2+1/8*C*x*(c*x^2+b*x+a)^(7/2)/c-95/2048*C/c^3*b^4*(c*x^2+b*x+a)^(1/2)*x*a-5/32*A/c*(c*x^2+b*x+a)^(1/2)*x*a*b^2+55/512*C/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*a^2+25/384*C/c^2*b^2*(c*x^2+b*x+a)^(3/2)*x*a+5/16*A/c^(1/2)*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-5/1024*A/c^(7/2)*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^6-5/128*C*a^4/c^(3/2)*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-45/32768*C/c^(11/2)*b^8*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/128*C/c^3*b^3*(c*x^2+b*x+a)^(5/2)-15/2048*C/c^4*b^5*(c*x^2+b*x+a)^(3/2)+45/16384*C/c^5*b^7*(c*x^2+b*x+a)^(1/2)+1/12*A/c*(c*x^2+b*x+a)^(5/2)*b+5/24*A*(c*x^2+b*x+a)^(3/2)*x*a-5/192*A/c^2*(c*x^2+b*x+a)^(3/2)*b^3+5/16*A*(c*x^2+b*x+a)^(1/2)*x*a^2+5/512*A/c^3*(c*x^2+b*x+a)^(1/2)*b^5+1/6*A*(c*x^2+b*x+a)^(5/2)*x-15/1024*C/c^3*b^4*(c*x^2+b*x+a)^(3/2)*x+25/768*C/c^3*b^3*(c*x^2+b*x+a)^(3/2)*a-5/96*A/c*(c*x^2+b*x+a)^(3/2)*x*b^2+5/48*A/c*(c*x^2+b*x+a)^(3/2)*b*a+5/256*A/c^2*(c*x^2+b*x+a)^(1/2)*x*b^4+35/2048*C/c^(9/2)*b^6*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/48*C*a/c*(c*x^2+b*x+a)^(5/2)*x-1/96*C*a/c^2*(c*x^2+b*x+a)^(5/2)*b-5/192*C*a^2/c*(c*x^2+b*x+a)^(3/2)*x+45/8192*C/c^4*b^6*(c*x^2+b*x+a)^(1/2)*x+55/1024*C/c^3*b^3*(c*x^2+b*x+a)^(1/2)*a^2-95/4096*C/c^4*b^5*(c*x^2+b*x+a)^(1/2)*a-5/384*C*a^2/c^2*(c*x^2+b*x+a)^(3/2)*b-5/128*C*a^3/c*(c*x^2+b*x+a)^(1/2)*x-5/256*C*a^3/c^2*(c*x^2+b*x+a)^(1/2)*b+3/64*C/c^2*b^2*(c*x^2+b*x+a)^(5/2)*x+15/128*C/c^(5/2)*b^2*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^3-75/1024*C/c^(7/2)*b^4*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+5/32*A/c*(c*x^2+b*x+a)^(1/2)*b*a^2-5/64*A/c^2*(c*x^2+b*x+a)^(1/2)*b^3*a-15/64*A/c^(3/2)*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2*a^2+15/256*A/c^(5/2)*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4*a","B"
179,1,613,186,0.010000," ","int((c*x^2+b*x+a)^(3/2)*(C*x^2+A),x)","\frac{3 A \,a^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 \sqrt{c}}-\frac{3 A a \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 A \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}-\frac{C \,a^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{9 C \,a^{2} b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}-\frac{15 C a \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{7 C \,b^{6} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a x}{8}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{2} x}{32 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, C \,a^{2} x}{16 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, C a \,b^{2} x}{8 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, C \,b^{4} x}{256 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, A a b}{16 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, A \,b^{3}}{64 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A x}{4}-\frac{\sqrt{c \,x^{2}+b x +a}\, C \,a^{2} b}{32 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, C a \,b^{3}}{16 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C a x}{24 c}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, C \,b^{5}}{512 c^{4}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C \,b^{2} x}{96 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} A b}{8 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C a b}{48 c^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C \,b^{3}}{192 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} C x}{6 c}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} C b}{60 c^{2}}"," ",0,"1/8*C/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*a-7/60*b*C*(c*x^2+b*x+a)^(5/2)/c^2+1/6*C*x*(c*x^2+b*x+a)^(5/2)/c+3/8*A/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+3/128*A/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4+7/192*C/c^3*b^3*(c*x^2+b*x+a)^(3/2)-7/512*C/c^4*b^5*(c*x^2+b*x+a)^(1/2)+7/1024*C/c^(9/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/16*C*a^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/8*A/c*(c*x^2+b*x+a)^(3/2)*b+3/8*A*(c*x^2+b*x+a)^(1/2)*x*a-3/64*A/c^2*(c*x^2+b*x+a)^(1/2)*b^3-3/32*A/c*(c*x^2+b*x+a)^(1/2)*x*b^2+3/16*A/c*(c*x^2+b*x+a)^(1/2)*b*a+1/4*A*(c*x^2+b*x+a)^(3/2)*x-1/32*C*a^2/c^2*(c*x^2+b*x+a)^(1/2)*b+7/96*C/c^2*b^2*(c*x^2+b*x+a)^(3/2)*x-7/256*C/c^3*b^4*(c*x^2+b*x+a)^(1/2)*x+1/16*C/c^3*b^3*(c*x^2+b*x+a)^(1/2)*a-3/16*A/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2*a+9/64*C/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-15/256*C/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/24*C*a/c*(c*x^2+b*x+a)^(3/2)*x-1/48*C*a/c^2*(c*x^2+b*x+a)^(3/2)*b-1/16*C*a^2/c*(c*x^2+b*x+a)^(1/2)*x","B"
180,1,327,135,0.008000," ","int((c*x^2+b*x+a)^(1/2)*(C*x^2+A),x)","\frac{A a \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}}-\frac{A \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{C \,a^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}+\frac{3 C a \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{5 C \,b^{4} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A x}{2}-\frac{\sqrt{c \,x^{2}+b x +a}\, C a x}{8 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, C \,b^{2} x}{32 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, A b}{4 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, C a b}{16 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, C \,b^{3}}{64 c^{3}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C x}{4 c}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} C b}{24 c^{2}}"," ",0,"1/4*C*x*(c*x^2+b*x+a)^(3/2)/c-5/24*b*C*(c*x^2+b*x+a)^(3/2)/c^2+5/32*C/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x+5/64*C/c^3*b^3*(c*x^2+b*x+a)^(1/2)+3/16*C/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-5/128*C/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/8*C*a/c*(c*x^2+b*x+a)^(1/2)*x-1/16*C*a/c^2*(c*x^2+b*x+a)^(1/2)*b-1/8*C*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/2*A*(c*x^2+b*x+a)^(1/2)*x+1/4*A/c*(c*x^2+b*x+a)^(1/2)*b+1/2*A/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/8*A/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2","B"
181,1,136,86,0.010000," ","int((C*x^2+A)/(c*x^2+b*x+a)^(1/2),x)","\frac{A \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{C a \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{3 C \,b^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, C x}{2 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, C b}{4 c^{2}}"," ",0,"1/2*C*x*(c*x^2+b*x+a)^(1/2)/c-3/4*b*C*(c*x^2+b*x+a)^(1/2)/c^2+3/8*C/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/2*C*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+A*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)","A"
182,1,169,88,0.008000," ","int((C*x^2+A)/(c*x^2+b*x+a)^(3/2),x)","\frac{C \,b^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{C \,b^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{2 \left(2 c x +b \right) A}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{C x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{C \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{C b}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}"," ",0,"-C*x/c/(c*x^2+b*x+a)^(1/2)+1/2*C/c^2*b/(c*x^2+b*x+a)^(1/2)+C/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+1/2*C/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+C/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+2*A*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)","A"
183,1,137,106,0.008000," ","int((C*x^2+A)/(c*x^2+b*x+a)^(5/2),x)","\frac{\frac{32}{3} A \,c^{3} x^{3}+\frac{16}{3} C a \,c^{2} x^{3}+\frac{4}{3} C \,b^{2} c \,x^{3}+16 A b \,c^{2} x^{2}+8 C a b c \,x^{2}+2 C \,b^{3} x^{2}+16 A a \,c^{2} x +4 A \,b^{2} c x +8 C a \,b^{2} x +8 A a b c -\frac{2}{3} A \,b^{3}+\frac{16}{3} C \,a^{2} b}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right)}"," ",0,"2/3/(c*x^2+b*x+a)^(3/2)*(16*A*c^3*x^3+8*C*a*c^2*x^3+2*C*b^2*c*x^3+24*A*b*c^2*x^2+12*C*a*b*c*x^2+3*C*b^3*x^2+24*A*a*c^2*x+6*A*b^2*c*x+12*C*a*b^2*x+12*A*a*b*c-A*b^3+8*C*a^2*b)/(16*a^2*c^2-8*a*b^2*c+b^4)","A"
184,1,316,155,0.009000," ","int((C*x^2+A)/(c*x^2+b*x+a)^(7/2),x)","\frac{\frac{128}{15} C a \,c^{4} x^{5}+\frac{32}{5} C \,b^{2} c^{3} x^{5}+\frac{256}{3} A b \,c^{4} x^{4}+16 C \,b^{3} c^{2} x^{4}+\frac{256}{3} A a \,c^{4} x^{3}+64 A \,b^{2} c^{3} x^{3}+\frac{64}{3} C \,a^{2} c^{3} x^{3}+12 C \,b^{4} c \,x^{3}+\frac{32}{3} A \,b^{3} c^{2} x^{2}+64 A \,a^{2} c^{3} x -\frac{4}{3} A \,b^{4} c x +\frac{8}{3} C a \,b^{4} x +32 A \,a^{2} b \,c^{2}-\frac{16}{3} A a \,b^{3} c +\frac{64}{5} C \,a^{3} b c +\frac{2}{5} A \,b^{5}+128 A a b \,c^{3} x^{2}+32 C \,a^{2} b \,c^{2} x^{2}+\frac{80}{3} C a \,b^{3} c \,x^{2}+32 A a \,b^{2} c^{2} x +32 C \,a^{2} b^{2} c x +\frac{512}{15} A \,c^{5} x^{5}+2 C \,b^{5} x^{2}+\frac{16}{15} C \,a^{2} b^{3}+\frac{64}{3} C a b \,c^{3} x^{4}+32 C a \,b^{2} c^{2} x^{3}}{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} \left(64 c^{3} a^{3}-48 a^{2} b^{2} c^{2}+12 a \,b^{4} c -b^{6}\right)}"," ",0,"2/15/(c*x^2+b*x+a)^(5/2)*(256*A*c^5*x^5+64*C*a*c^4*x^5+48*C*b^2*c^3*x^5+640*A*b*c^4*x^4+160*C*a*b*c^3*x^4+120*C*b^3*c^2*x^4+640*A*a*c^4*x^3+480*A*b^2*c^3*x^3+160*C*a^2*c^3*x^3+240*C*a*b^2*c^2*x^3+90*C*b^4*c*x^3+960*A*a*b*c^3*x^2+80*A*b^3*c^2*x^2+240*C*a^2*b*c^2*x^2+200*C*a*b^3*c*x^2+15*C*b^5*x^2+480*A*a^2*c^3*x+240*A*a*b^2*c^2*x-10*A*b^4*c*x+240*C*a^2*b^2*c*x+20*C*a*b^4*x+240*A*a^2*b*c^2-40*A*a*b^3*c+3*A*b^5+96*C*a^3*b*c+8*C*a^2*b^3)/(64*a^3*c^3-48*a^2*b^2*c^2+12*a*b^4*c-b^6)","B"
185,1,555,204,0.012000," ","int((C*x^2+A)/(c*x^2+b*x+a)^(9/2),x)","\frac{\frac{2048}{105} C a \,c^{6} x^{7}+\frac{512}{21} C \,b^{2} c^{5} x^{7}+\frac{2048}{5} A b \,c^{6} x^{6}+\frac{256}{3} C \,b^{3} c^{4} x^{6}+\frac{2048}{5} A a \,c^{6} x^{5}+512 A \,b^{2} c^{5} x^{5}+\frac{1024}{15} C \,a^{2} c^{5} x^{5}+\frac{320}{3} C \,b^{4} c^{3} x^{5}+256 A \,b^{3} c^{4} x^{4}+\frac{160}{3} C \,b^{5} c^{2} x^{4}+512 A \,a^{2} c^{5} x^{3}+32 A \,b^{4} c^{3} x^{3}+\frac{256}{3} C \,a^{3} c^{4} x^{3}+\frac{20}{3} C \,b^{6} c \,x^{3}-\frac{16}{5} A \,b^{5} c^{2} x^{2}+256 A \,a^{3} c^{4} x +\frac{4}{5} A \,b^{6} c x -\frac{8}{15} C a \,b^{6} x +128 A \,a^{3} b \,c^{3}-32 A \,a^{2} b^{3} c^{2}+\frac{24}{5} A a \,b^{5} c +\frac{256}{7} C \,a^{4} b \,c^{2}+\frac{128}{21} C \,a^{3} b^{3} c -\frac{2}{7} A \,b^{7}+\frac{1024}{15} C a b \,c^{5} x^{6}+\frac{4096}{35} A \,c^{7} x^{7}-\frac{2}{3} C \,b^{7} x^{2}-\frac{16}{105} C \,a^{2} b^{5}+\frac{512}{3} C a \,b^{2} c^{4} x^{5}+1024 A a b \,c^{5} x^{4}+\frac{512}{3} C \,a^{2} b \,c^{4} x^{4}+256 C a \,b^{3} c^{3} x^{4}+768 A a \,b^{2} c^{4} x^{3}+\frac{704}{3} C \,a^{2} b^{2} c^{3} x^{3}+\frac{496}{3} C a \,b^{4} c^{2} x^{3}+768 A \,a^{2} b \,c^{4} x^{2}+128 A a \,b^{3} c^{3} x^{2}+128 C \,a^{3} b \,c^{3} x^{2}+\frac{544}{3} C \,a^{2} b^{3} c^{2} x^{2}+\frac{392}{15} C a \,b^{5} c \,x^{2}+192 A \,a^{2} b^{2} c^{3} x -16 A a \,b^{4} c^{2} x +128 C \,a^{3} b^{2} c^{2} x +\frac{64}{3} C \,a^{2} b^{4} c x}{\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} \left(256 c^{4} a^{4}-256 c^{3} b^{2} a^{3}+96 c^{2} b^{4} a^{2}-16 a \,b^{6} c +b^{8}\right)}"," ",0,"2/105/(c*x^2+b*x+a)^(7/2)*(6144*A*c^7*x^7+1024*C*a*c^6*x^7+1280*C*b^2*c^5*x^7+21504*A*b*c^6*x^6+3584*C*a*b*c^5*x^6+4480*C*b^3*c^4*x^6+21504*A*a*c^6*x^5+26880*A*b^2*c^5*x^5+3584*C*a^2*c^5*x^5+8960*C*a*b^2*c^4*x^5+5600*C*b^4*c^3*x^5+53760*A*a*b*c^5*x^4+13440*A*b^3*c^4*x^4+8960*C*a^2*b*c^4*x^4+13440*C*a*b^3*c^3*x^4+2800*C*b^5*c^2*x^4+26880*A*a^2*c^5*x^3+40320*A*a*b^2*c^4*x^3+1680*A*b^4*c^3*x^3+4480*C*a^3*c^4*x^3+12320*C*a^2*b^2*c^3*x^3+8680*C*a*b^4*c^2*x^3+350*C*b^6*c*x^3+40320*A*a^2*b*c^4*x^2+6720*A*a*b^3*c^3*x^2-168*A*b^5*c^2*x^2+6720*C*a^3*b*c^3*x^2+9520*C*a^2*b^3*c^2*x^2+1372*C*a*b^5*c*x^2-35*C*b^7*x^2+13440*A*a^3*c^4*x+10080*A*a^2*b^2*c^3*x-840*A*a*b^4*c^2*x+42*A*b^6*c*x+6720*C*a^3*b^2*c^2*x+1120*C*a^2*b^4*c*x-28*C*a*b^6*x+6720*A*a^3*b*c^3-1680*A*a^2*b^3*c^2+252*A*a*b^5*c-15*A*b^7+1920*C*a^4*b*c^2+320*C*a^3*b^3*c-8*C*a^2*b^5)/(256*a^4*c^4-256*a^3*b^2*c^3+96*a^2*b^4*c^2-16*a*b^6*c+b^8)","B"
186,1,3543,900,0.024000," ","int((h*x+g)^3*(f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"3/5*x^2*(c*x^2+b*x+a)^(3/2)/c*f*g^2*h-7/40/c^2*b*x*(c*x^2+b*x+a)^(3/2)*d*h^3-3/8*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g^2*h+3/4*x*(c*x^2+b*x+a)^(3/2)/c*d*g*h^2+3/4*x*(c*x^2+b*x+a)^(3/2)/c*e*g^2*h-5/8/c^2*b*(c*x^2+b*x+a)^(3/2)*d*g*h^2+15/64/c^3*b^3*(c*x^2+b*x+a)^(1/2)*d*g*h^2+15/64/c^3*b^3*(c*x^2+b*x+a)^(1/2)*e*g^2*h+3/16/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*f*g^3-15/128/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*g*h^2-15/128/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g^2*h-1/8*a/c*x*(c*x^2+b*x+a)^(1/2)*f*g^3-1/16*a/c^2*(c*x^2+b*x+a)^(1/2)*b*f*g^3-3/8*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*g*h^2-33/320*f*h^3/c^4*b^3*x*(c*x^2+b*x+a)^(3/2)-33/512*f*h^3/c^5*b^5*x*(c*x^2+b*x+a)^(1/2)+15/128*f*h^3/c^5*b^4*a*(c*x^2+b*x+a)^(1/2)-39/160*f*h^3/c^4*b^2*a*(c*x^2+b*x+a)^(3/2)-5/64*f*h^3/c^4*b^2*a^2*(c*x^2+b*x+a)^(1/2)-63/512*f*h^3/c^(11/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+35/128*f*h^3/c^(9/2)*b^3*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/32*f*h^3/c^(7/2)*b*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-4/35*f*h^3*a/c^2*x^2*(c*x^2+b*x+a)^(3/2)-11/84*f*h^3/c^2*b*x^3*(c*x^2+b*x+a)^(3/2)+33/280*f*h^3/c^3*b^2*x^2*(c*x^2+b*x+a)^(3/2)+7/16/c^3*b^2*(c*x^2+b*x+a)^(3/2)*f*g^2*h-7/64/c^3*b^3*x*(c*x^2+b*x+a)^(1/2)*d*h^3-21/128/c^4*b^4*(c*x^2+b*x+a)^(1/2)*e*g*h^2-21/128/c^4*b^4*(c*x^2+b*x+a)^(1/2)*f*g^2*h-2/5*a/c^2*(c*x^2+b*x+a)^(3/2)*e*g*h^2-2/5*a/c^2*(c*x^2+b*x+a)^(3/2)*f*g^2*h-5/32/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*h^3+21/256/c^(9/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g*h^2-3/8*a/c*x*(c*x^2+b*x+a)^(1/2)*e*g^2*h-3/16*a/c^2*(c*x^2+b*x+a)^(1/2)*b*d*g*h^2-3/16*a/c^2*(c*x^2+b*x+a)^(1/2)*b*e*g^2*h-3/4/c*b*x*(c*x^2+b*x+a)^(1/2)*d*g^2*h-3/4/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*g^2*h-3/8*a/c*x*(c*x^2+b*x+a)^(1/2)*d*g*h^2+1/3*(c*x^2+b*x+a)^(3/2)/c*e*g^3+1/2*d*g^3*x*(c*x^2+b*x+a)^(1/2)+21/256/c^(9/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^2*h+3/32/c^3*b^2*a*(c*x^2+b*x+a)^(1/2)*d*h^3+3/16/c^(5/2)*b*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h^3+7/16/c^3*b^2*(c*x^2+b*x+a)^(3/2)*e*g*h^2-5/8/c^2*b*(c*x^2+b*x+a)^(3/2)*e*g^2*h+5/32/c^2*b^2*x*(c*x^2+b*x+a)^(1/2)*f*g^3-1/4/c*b*x*(c*x^2+b*x+a)^(1/2)*e*g^3-3/8/c^2*b^2*(c*x^2+b*x+a)^(1/2)*d*g^2*h-1/4/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*g^3+3/16/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*g^2*h+21/512/c^5*b^5*(c*x^2+b*x+a)^(1/2)*e*h^3+15/64*f*h^3/c^4*b^3*a*x*(c*x^2+b*x+a)^(1/2)+111/560*f*h^3/c^3*b*a*x*(c*x^2+b*x+a)^(3/2)-15/32/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*f*g^2*h+3/16/c^2*b*a*x*(c*x^2+b*x+a)^(1/2)*d*h^3+9/32/c^3*b^2*a*(c*x^2+b*x+a)^(1/2)*e*g*h^2+9/32/c^3*b^2*a*(c*x^2+b*x+a)^(1/2)*f*g^2*h+9/16/c^(5/2)*b*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g*h^2+9/16/c^(5/2)*b*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^2*h-21/40/c^2*b*x*(c*x^2+b*x+a)^(3/2)*e*g*h^2-21/40/c^2*b*x*(c*x^2+b*x+a)^(3/2)*f*g^2*h-21/64/c^3*b^3*x*(c*x^2+b*x+a)^(1/2)*e*g*h^2-21/64/c^3*b^3*x*(c*x^2+b*x+a)^(1/2)*f*g^2*h+7/48/c^3*b^2*(c*x^2+b*x+a)^(3/2)*d*h^3-7/128/c^4*b^4*(c*x^2+b*x+a)^(1/2)*d*h^3+7/256/c^(9/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h^3-2/15*a/c^2*(c*x^2+b*x+a)^(3/2)*d*h^3+1/4*x*(c*x^2+b*x+a)^(3/2)/c*f*g^3-5/24/c^2*b*(c*x^2+b*x+a)^(3/2)*f*g^3+5/64/c^3*b^3*(c*x^2+b*x+a)^(1/2)*f*g^3-5/128/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^3-1/8*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^3+(c*x^2+b*x+a)^(3/2)/c*d*g^2*h-1/8/c^2*b^2*(c*x^2+b*x+a)^(1/2)*e*g^3+1/16/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g^3+1/4*d*g^3/c*(c*x^2+b*x+a)^(1/2)*b+1/2*d*g^3/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/8*d*g^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2+3/32*a^2/c^3*(c*x^2+b*x+a)^(1/2)*b*f*g*h^2-3/8*a/c^2*x*(c*x^2+b*x+a)^(3/2)*f*g*h^2+3/16*a^2/c^2*x*(c*x^2+b*x+a)^(1/2)*f*g*h^2+105/256/c^(9/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*f*g*h^2-7/32/c^3*b^2*a*x*(c*x^2+b*x+a)^(1/2)*e*h^3-21/64/c^4*b^3*a*(c*x^2+b*x+a)^(1/2)*f*g*h^2-45/64/c^(7/2)*b^2*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g*h^2+49/80/c^3*b*a*(c*x^2+b*x+a)^(3/2)*f*g*h^2+3/5*x^2*(c*x^2+b*x+a)^(3/2)/c*e*g*h^2+63/160/c^3*b^2*x*(c*x^2+b*x+a)^(3/2)*f*g*h^2+63/256/c^4*b^4*x*(c*x^2+b*x+a)^(1/2)*f*g*h^2-5/32*f*h^3/c^3*b*a^2*x*(c*x^2+b*x+a)^(1/2)-15/32/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*g*h^2+15/32/c^2*b^2*x*(c*x^2+b*x+a)^(1/2)*d*g*h^2+15/32/c^2*b^2*x*(c*x^2+b*x+a)^(1/2)*e*g^2*h+9/16/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*g*h^2+9/16/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*g^2*h-21/32/c^3*b^2*a*x*(c*x^2+b*x+a)^(1/2)*f*g*h^2+9/16/c^2*b*a*x*(c*x^2+b*x+a)^(1/2)*e*g*h^2+9/16/c^2*b*a*x*(c*x^2+b*x+a)^(1/2)*f*g^2*h-7/64/c^4*b^3*(c*x^2+b*x+a)^(3/2)*e*h^3-9/20/c^2*b*x^2*(c*x^2+b*x+a)^(3/2)*f*g*h^2-3/20/c^2*b*x^2*(c*x^2+b*x+a)^(3/2)*e*h^3+21/160/c^3*b^2*x*(c*x^2+b*x+a)^(3/2)*e*h^3-21/64/c^4*b^3*(c*x^2+b*x+a)^(3/2)*f*g*h^2+21/256/c^4*b^4*x*(c*x^2+b*x+a)^(1/2)*e*h^3+63/512/c^5*b^5*(c*x^2+b*x+a)^(1/2)*f*g*h^2+35/256/c^(9/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*h^3-63/1024/c^(11/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g*h^2-7/64/c^4*b^3*a*(c*x^2+b*x+a)^(1/2)*e*h^3-15/64/c^(7/2)*b^2*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h^3+49/240/c^3*b*a*(c*x^2+b*x+a)^(3/2)*e*h^3-1/8*a/c^2*x*(c*x^2+b*x+a)^(3/2)*e*h^3+1/16*a^2/c^2*x*(c*x^2+b*x+a)^(1/2)*e*h^3+1/32*a^2/c^3*(c*x^2+b*x+a)^(1/2)*b*e*h^3+3/16*a^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g*h^2+1/2*x^3*(c*x^2+b*x+a)^(3/2)/c*f*g*h^2-21/1024/c^(11/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h^3+1/16*a^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h^3+1/6*x^3*(c*x^2+b*x+a)^(3/2)/c*e*h^3+33/2048*f*h^3/c^(13/2)*b^7*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+8/105*f*h^3*a^2/c^3*(c*x^2+b*x+a)^(3/2)+11/128*f*h^3/c^5*b^4*(c*x^2+b*x+a)^(3/2)-33/1024*f*h^3/c^6*b^6*(c*x^2+b*x+a)^(1/2)+1/7*f*h^3*x^4*(c*x^2+b*x+a)^(3/2)/c+1/5*x^2*(c*x^2+b*x+a)^(3/2)/c*d*h^3","B"
187,1,2179,558,0.016000," ","int((h*x+g)^2*(f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2),x)","\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} f \,h^{2} x^{3}}{6 c}+\frac{a^{3} f \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{15 a^{2} b^{2} f \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{7}{2}}}+\frac{3 a^{2} b e \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}+\frac{3 a^{2} b f g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{a^{2} d \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{a^{2} e g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}-\frac{a^{2} f \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}+\frac{35 a \,b^{4} f \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{9}{2}}}-\frac{5 a \,b^{3} e \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{7}{2}}}-\frac{5 a \,b^{3} f g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 a \,b^{2} d \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}+\frac{3 a \,b^{2} e g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{3 a \,b^{2} f \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{a b d g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{a b e \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}+\frac{a d \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}}-\frac{21 b^{6} f \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{11}{2}}}+\frac{7 b^{5} e \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{9}{2}}}+\frac{7 b^{5} f g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}-\frac{5 b^{4} d \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}-\frac{5 b^{4} e g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{7}{2}}}-\frac{5 b^{4} f \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}+\frac{b^{3} d g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{b^{3} e \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{b^{2} d \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} f \,h^{2} x}{16 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} f \,h^{2} x}{32 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b e \,h^{2} x}{16 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b f g h x}{8 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a d \,h^{2} x}{8 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, a e g h x}{4 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, a f \,g^{2} x}{8 c}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, b^{4} f \,h^{2} x}{256 c^{4}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{3} e \,h^{2} x}{64 c^{3}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{3} f g h x}{32 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} d \,h^{2} x}{32 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} e g h x}{16 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} f \,g^{2} x}{32 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b d g h x}{2 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, b e \,g^{2} x}{4 c}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b f \,h^{2} x^{2}}{20 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e \,h^{2} x^{2}}{5 c}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} f g h \,x^{2}}{5 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, d \,g^{2} x}{2}+\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b f \,h^{2}}{32 c^{3}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, a \,b^{3} f \,h^{2}}{64 c^{4}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} e \,h^{2}}{32 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} f g h}{16 c^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a b d \,h^{2}}{16 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a b e g h}{8 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a b f \,g^{2}}{16 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a f \,h^{2} x}{8 c^{2}}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, b^{5} f \,h^{2}}{512 c^{5}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{4} e \,h^{2}}{128 c^{4}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{4} f g h}{64 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{3} d \,h^{2}}{64 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{3} e g h}{32 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{3} f \,g^{2}}{64 c^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{2} d g h}{4 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{2} e \,g^{2}}{8 c^{2}}+\frac{21 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} f \,h^{2} x}{160 c^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, b d \,g^{2}}{4 c}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b e \,h^{2} x}{40 c^{2}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b f g h x}{20 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d \,h^{2} x}{4 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e g h x}{2 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} f \,g^{2} x}{4 c}+\frac{49 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b f \,h^{2}}{240 c^{3}}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a e \,h^{2}}{15 c^{2}}-\frac{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a f g h}{15 c^{2}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} f \,h^{2}}{64 c^{4}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} e \,h^{2}}{48 c^{3}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} f g h}{24 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b d \,h^{2}}{24 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b e g h}{12 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b f \,g^{2}}{24 c^{2}}+\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d g h}{3 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e \,g^{2}}{3 c}"," ",0,"-1/2/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*g*h-1/4*a/c*(c*x^2+b*x+a)^(1/2)*x*e*g*h-1/8*a/c^2*(c*x^2+b*x+a)^(1/2)*b*e*g*h-7/32/c^3*b^3*(c*x^2+b*x+a)^(1/2)*x*f*g*h-5/16/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*f*g*h+1/3*(c*x^2+b*x+a)^(3/2)/c*e*g^2+1/2*d*g^2*(c*x^2+b*x+a)^(1/2)*x-1/4*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g*h+1/16*f*h^2*a^2/c^2*(c*x^2+b*x+a)^(1/2)*x+1/32*f*h^2*a^2/c^3*(c*x^2+b*x+a)^(1/2)*b+21/256*f*h^2/c^4*b^4*(c*x^2+b*x+a)^(1/2)*x+35/256*f*h^2/c^(9/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-7/64*f*h^2/c^4*b^3*a*(c*x^2+b*x+a)^(1/2)-15/64*f*h^2/c^(7/2)*b^2*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+49/240*f*h^2/c^3*b*a*(c*x^2+b*x+a)^(3/2)-1/8*f*h^2*a/c^2*x*(c*x^2+b*x+a)^(3/2)+5/32/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*f*g^2+5/32/c^3*b^3*(c*x^2+b*x+a)^(1/2)*e*g*h+3/16/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*h^2+2/5*x^2*(c*x^2+b*x+a)^(3/2)/c*f*g*h-7/40/c^2*b*x*(c*x^2+b*x+a)^(3/2)*e*h^2+7/24/c^3*b^2*(c*x^2+b*x+a)^(3/2)*f*g*h-7/64/c^3*b^3*(c*x^2+b*x+a)^(1/2)*x*e*h^2-7/64/c^4*b^4*(c*x^2+b*x+a)^(1/2)*f*g*h-5/32/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*h^2+7/128/c^(9/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g*h+3/32/c^3*b^2*a*(c*x^2+b*x+a)^(1/2)*e*h^2+3/16/c^(5/2)*b*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h^2-4/15*a/c^2*(c*x^2+b*x+a)^(3/2)*f*g*h-5/12/c^2*b*(c*x^2+b*x+a)^(3/2)*e*g*h+5/32/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*d*h^2-3/20*f*h^2/c^2*b*x^2*(c*x^2+b*x+a)^(3/2)+21/160*f*h^2/c^3*b^2*x*(c*x^2+b*x+a)^(3/2)-1/8*a/c*(c*x^2+b*x+a)^(1/2)*x*d*h^2-1/8*a/c*(c*x^2+b*x+a)^(1/2)*x*f*g^2-1/16*a/c^2*(c*x^2+b*x+a)^(1/2)*b*d*h^2-1/16*a/c^2*(c*x^2+b*x+a)^(1/2)*b*f*g^2-1/8*d*g^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2+1/5*x^2*(c*x^2+b*x+a)^(3/2)/c*e*h^2+7/48/c^3*b^2*(c*x^2+b*x+a)^(3/2)*e*h^2-7/128/c^4*b^4*(c*x^2+b*x+a)^(1/2)*e*h^2+7/256/c^(9/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h^2-2/15*a/c^2*(c*x^2+b*x+a)^(3/2)*e*h^2+1/6*f*h^2*x^3*(c*x^2+b*x+a)^(3/2)/c-7/64*f*h^2/c^4*b^3*(c*x^2+b*x+a)^(3/2)+21/512*f*h^2/c^5*b^5*(c*x^2+b*x+a)^(1/2)-21/1024*f*h^2/c^(11/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/16*f*h^2*a^3/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/24/c^2*b*(c*x^2+b*x+a)^(3/2)*f*g^2+3/16/c^2*b*a*(c*x^2+b*x+a)^(1/2)*x*e*h^2+3/16/c^3*b^2*a*(c*x^2+b*x+a)^(1/2)*f*g*h+3/8/c^(5/2)*b*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g*h+5/16/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*e*g*h+3/8/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*g*h-1/2/c*b*(c*x^2+b*x+a)^(1/2)*x*d*g*h-7/32*f*h^2/c^3*b^2*a*(c*x^2+b*x+a)^(1/2)*x-7/20/c^2*b*x*(c*x^2+b*x+a)^(3/2)*f*g*h+1/2*d*g^2/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+1/4*d*g^2/c*(c*x^2+b*x+a)^(1/2)*b+5/64/c^3*b^3*(c*x^2+b*x+a)^(1/2)*d*h^2+5/64/c^3*b^3*(c*x^2+b*x+a)^(1/2)*f*g^2-5/128/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h^2-5/128/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^2-1/8*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h^2-1/8*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^2+2/3*(c*x^2+b*x+a)^(3/2)/c*d*g*h-1/8/c^2*b^2*(c*x^2+b*x+a)^(1/2)*e*g^2+1/16/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g^2+1/4*x*(c*x^2+b*x+a)^(3/2)/c*d*h^2+1/4*x*(c*x^2+b*x+a)^(3/2)/c*f*g^2-5/24/c^2*b*(c*x^2+b*x+a)^(3/2)*d*h^2+3/8/c^2*b*a*(c*x^2+b*x+a)^(1/2)*x*f*g*h+3/16/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*f*g^2-5/64/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g*h+1/2*x*(c*x^2+b*x+a)^(3/2)/c*e*g*h-1/4/c*b*(c*x^2+b*x+a)^(1/2)*x*e*g^2-1/4/c^2*b^2*(c*x^2+b*x+a)^(1/2)*d*g*h-1/4/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*g^2+1/8/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*g*h","B"
188,1,1117,300,0.010000," ","int((h*x+g)*(f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2),x)","\frac{3 a^{2} b f h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{a^{2} e h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{a^{2} f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{5 a \,b^{3} f h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{7}{2}}}+\frac{3 a \,b^{2} e h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}+\frac{3 a \,b^{2} f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{a b d h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}-\frac{a b e g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}+\frac{a d g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}}+\frac{7 b^{5} f h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{9}{2}}}-\frac{5 b^{4} e h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}-\frac{5 b^{4} f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}+\frac{b^{3} d h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}+\frac{b^{3} e g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{b^{2} d g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b f h x}{16 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a e h x}{8 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, a f g x}{8 c}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{3} f h x}{64 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} e h x}{32 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} f g x}{32 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b d h x}{4 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, b e g x}{4 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} f h \,x^{2}}{5 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, d g x}{2}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} f h}{32 c^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a b e h}{16 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a b f g}{16 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{4} f h}{128 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{3} e h}{64 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{3} f g}{64 c^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{2} d h}{8 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{2} e g}{8 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, b d g}{4 c}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b f h x}{40 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e h x}{4 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} f g x}{4 c}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a f h}{15 c^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} f h}{48 c^{3}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b e h}{24 c^{2}}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b f g}{24 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d h}{3 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e g}{3 c}"," ",0,"1/3*(c*x^2+b*x+a)^(3/2)/c*d*h+1/3*(c*x^2+b*x+a)^(3/2)/c*e*g+1/2*d*g*(c*x^2+b*x+a)^(1/2)*x+3/16*h*f/c^2*b*a*(c*x^2+b*x+a)^(1/2)*x-7/40*h*f/c^2*b*x*(c*x^2+b*x+a)^(3/2)+5/32/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*e*h+3/16*h*f/c^(5/2)*b*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/32*h*f/c^3*b^2*a*(c*x^2+b*x+a)^(1/2)+1/4*x*(c*x^2+b*x+a)^(3/2)/c*e*h+1/4*x*(c*x^2+b*x+a)^(3/2)/c*f*g-5/32*h*f/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-7/64*h*f/c^3*b^3*(c*x^2+b*x+a)^(1/2)*x+5/32/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*f*g+3/16/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*h+3/16/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*f*g-1/8*a/c*(c*x^2+b*x+a)^(1/2)*x*e*h-1/8*a/c*(c*x^2+b*x+a)^(1/2)*x*f*g-1/16*a/c^2*(c*x^2+b*x+a)^(1/2)*b*e*h-1/4/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*h-5/24/c^2*b*(c*x^2+b*x+a)^(3/2)*e*h-5/24/c^2*b*(c*x^2+b*x+a)^(3/2)*f*g+5/64/c^3*b^3*(c*x^2+b*x+a)^(1/2)*e*h+1/2*d*g/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/8*d*g/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2-1/8/c^2*b^2*(c*x^2+b*x+a)^(1/2)*d*h-1/8/c^2*b^2*(c*x^2+b*x+a)^(1/2)*e*g+1/16/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h+1/16/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g+1/4*d*g/c*(c*x^2+b*x+a)^(1/2)*b+1/5*h*f*x^2*(c*x^2+b*x+a)^(3/2)/c+7/48*h*f/c^3*b^2*(c*x^2+b*x+a)^(3/2)-7/128*h*f/c^4*b^4*(c*x^2+b*x+a)^(1/2)+7/256*h*f/c^(9/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/15*h*f*a/c^2*(c*x^2+b*x+a)^(3/2)+5/64/c^3*b^3*(c*x^2+b*x+a)^(1/2)*f*g-5/128/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h-5/128/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g-1/8*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h-1/8*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g-1/16*a/c^2*(c*x^2+b*x+a)^(1/2)*b*f*g-1/4/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*g-1/4/c*b*(c*x^2+b*x+a)^(1/2)*x*d*h-1/4/c*b*(c*x^2+b*x+a)^(1/2)*x*e*g","B"
189,1,453,153,0.008000," ","int((f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2),x)","-\frac{a^{2} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}+\frac{3 a \,b^{2} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{a b e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}}}+\frac{a d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}}-\frac{5 b^{4} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}+\frac{b^{3} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}}}-\frac{b^{2} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a f x}{8 c}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} f x}{32 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b e x}{4 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, d x}{2}-\frac{\sqrt{c \,x^{2}+b x +a}\, a b f}{16 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{3} f}{64 c^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{2} e}{8 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, b d}{4 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} f x}{4 c}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b f}{24 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} e}{3 c}"," ",0,"1/4*f*x*(c*x^2+b*x+a)^(3/2)/c-5/24*f/c^2*b*(c*x^2+b*x+a)^(3/2)+5/32*f/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x+5/64*f/c^3*b^3*(c*x^2+b*x+a)^(1/2)+3/16*f/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-5/128*f/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/8*f*a/c*(c*x^2+b*x+a)^(1/2)*x-1/16*f*a/c^2*(c*x^2+b*x+a)^(1/2)*b-1/8*f*a^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/3*e*(c*x^2+b*x+a)^(3/2)/c-1/4*e/c*b*(c*x^2+b*x+a)^(1/2)*x-1/8*e/c^2*b^2*(c*x^2+b*x+a)^(1/2)-1/4*e/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+1/16*e/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/2*d*(c*x^2+b*x+a)^(1/2)*x+1/4*d/c*(c*x^2+b*x+a)^(1/2)*b+1/2*d/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/8*d/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2","B"
190,1,2549,295,0.018000," ","int((f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2)/(h*x+g),x)","\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} f}{3 c h}+\frac{\sqrt{c \,x^{2}+b x +a}\, e x}{2 h}-\frac{\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, e g}{h^{2}}+\frac{\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, f \,g^{2}}{h^{3}}+\frac{\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, d}{h}+\frac{\sqrt{c}\, e \,g^{2} \ln \left(\frac{\left(x +\frac{g}{h}\right) c +\frac{h b -2 c g}{2 h}}{\sqrt{c}}+\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\right)}{h^{3}}-\frac{\sqrt{c}\, f \,g^{3} \ln \left(\frac{\left(x +\frac{g}{h}\right) c +\frac{h b -2 c g}{2 h}}{\sqrt{c}}+\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\right)}{h^{4}}-\frac{\sqrt{c \,x^{2}+b x +a}\, b^{2} f}{8 c^{2} h}+\frac{b^{3} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{5}{2}} h}+\frac{\sqrt{c \,x^{2}+b x +a}\, b e}{4 c h}+\frac{a e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}\, h}-\frac{b^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}} h}-\frac{\sqrt{c \,x^{2}+b x +a}\, f g x}{2 h^{2}}-\frac{b e g \ln \left(\frac{\left(x +\frac{g}{h}\right) c +\frac{h b -2 c g}{2 h}}{\sqrt{c}}+\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\right)}{2 \sqrt{c}\, h^{2}}+\frac{b f \,g^{2} \ln \left(\frac{\left(x +\frac{g}{h}\right) c +\frac{h b -2 c g}{2 h}}{\sqrt{c}}+\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\right)}{2 \sqrt{c}\, h^{3}}+\frac{b d \ln \left(\frac{\left(x +\frac{g}{h}\right) c +\frac{h b -2 c g}{2 h}}{\sqrt{c}}+\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\right)}{2 \sqrt{c}\, h}-\frac{\sqrt{c}\, d g \ln \left(\frac{\left(x +\frac{g}{h}\right) c +\frac{h b -2 c g}{2 h}}{\sqrt{c}}+\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\right)}{h^{2}}-\frac{c f \,g^{4} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{5}}-\frac{a d \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h}-\frac{\sqrt{c \,x^{2}+b x +a}\, b f x}{4 c h}-\frac{a b f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{3}{2}} h}-\frac{\sqrt{c \,x^{2}+b x +a}\, b f g}{4 c \,h^{2}}-\frac{a f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 \sqrt{c}\, h^{2}}+\frac{b^{2} f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{3}{2}} h^{2}}+\frac{a e g \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{a f \,g^{2} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{3}}+\frac{b d g \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{b e \,g^{2} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{3}}+\frac{b f \,g^{3} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{4}}-\frac{c d \,g^{2} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{3}}+\frac{c e \,g^{3} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{4}}"," ",0,"1/3*f*(c*x^2+b*x+a)^(3/2)/c/h+1/2/h*e*(c*x^2+b*x+a)^(1/2)*x-1/h^2*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*e*g+1/h^3*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*f*g^2+1/h*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*d+1/h^3*ln((1/2*(b*h-2*c*g)/h+(x+g/h)*c)/c^(1/2)+((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))*c^(1/2)*g^2*e-1/h^4*ln((1/2*(b*h-2*c*g)/h+(x+g/h)*c)/c^(1/2)+((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))*c^(1/2)*g^3*f-1/h/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2-b*g*h+c*g^2)/h^2+(b*h-2*c*g)/h*(x+g/h)+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*a*d-1/8/h*f/c^2*b^2*(c*x^2+b*x+a)^(1/2)+1/16/h*f/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/4/h*e/c*(c*x^2+b*x+a)^(1/2)*b+1/2/h*e/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/8/h*e/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2-1/2/h^2*f*g*(c*x^2+b*x+a)^(1/2)*x-1/2/h^2*ln((1/2*(b*h-2*c*g)/h+(x+g/h)*c)/c^(1/2)+((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/c^(1/2)*b*e*g+1/2/h^3*ln((1/2*(b*h-2*c*g)/h+(x+g/h)*c)/c^(1/2)+((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/c^(1/2)*b*f*g^2+1/h^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2-b*g*h+c*g^2)/h^2+(b*h-2*c*g)/h*(x+g/h)+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*a*e*g-1/h^3/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2-b*g*h+c*g^2)/h^2+(b*h-2*c*g)/h*(x+g/h)+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*a*f*g^2+1/h^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2-b*g*h+c*g^2)/h^2+(b*h-2*c*g)/h*(x+g/h)+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*g*d-1/h^3/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2-b*g*h+c*g^2)/h^2+(b*h-2*c*g)/h*(x+g/h)+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*g^2*e+1/2/h*ln((1/2*(b*h-2*c*g)/h+(x+g/h)*c)/c^(1/2)+((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/c^(1/2)*b*d-1/h^2*ln((1/2*(b*h-2*c*g)/h+(x+g/h)*c)/c^(1/2)+((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))*c^(1/2)*g*d+1/h^4/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2-b*g*h+c*g^2)/h^2+(b*h-2*c*g)/h*(x+g/h)+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*g^3*f-1/h^3/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2-b*g*h+c*g^2)/h^2+(b*h-2*c*g)/h*(x+g/h)+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^2*d+1/h^4/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2-b*g*h+c*g^2)/h^2+(b*h-2*c*g)/h*(x+g/h)+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^3*e-1/h^5/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln((2*(a*h^2-b*g*h+c*g^2)/h^2+(b*h-2*c*g)/h*(x+g/h)+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)/h*(x+g/h)+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^4*f-1/4/h*f/c*b*(c*x^2+b*x+a)^(1/2)*x-1/4/h*f/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a-1/4/h^2*f*g/c*(c*x^2+b*x+a)^(1/2)*b-1/2/h^2*f*g/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+1/8/h^2*f*g/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2","B"
191,1,6218,433,0.017000," ","int((f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2)/(h*x+g)^2,x)","\text{output too large to display}"," ",0,"result too large to display","B"
192,1,12139,420,0.018000," ","int((f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2)/(h*x+g)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
193,1,19321,577,0.020000," ","int((f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2)/(h*x+g)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
194,1,29161,475,0.026000," ","int((f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2)/(h*x+g)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
195,1,40336,798,0.036000," ","int((f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2)/(h*x+g)^6,x)","\text{output too large to display}"," ",0,"result too large to display","B"
196,1,5881,1135,0.029000," ","int((h*x+g)^3*(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d),x)","\text{output too large to display}"," ",0,"result too large to display","B"
197,1,3769,723,0.017000," ","int((h*x+g)^2*(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d),x)","\text{output too large to display}"," ",0,"1/5*(c*x^2+b*x+a)^(5/2)/c*e*g^2+1/4*d*g^2*(c*x^2+b*x+a)^(3/2)*x+3/16/c^(5/2)*b*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g*h-15/128/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*g*h-1/12*a/c*(c*x^2+b*x+a)^(3/2)*x*e*g*h-1/24*a/c^2*(c*x^2+b*x+a)^(3/2)*b*e*g*h-1/8*a^2/c*(c*x^2+b*x+a)^(1/2)*x*e*g*h-7/30/c^2*b*(c*x^2+b*x+a)^(5/2)*e*g*h+3/20/c^3*b^2*(c*x^2+b*x+a)^(5/2)*f*g*h-3/64/c^4*b^4*(c*x^2+b*x+a)^(3/2)*f*g*h+9/512/c^5*b^6*(c*x^2+b*x+a)^(1/2)*f*g*h-15/128/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*e*h^2+21/512/c^(9/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*h^2+3/32/c^(5/2)*b*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h^2-3/28/c^2*b*x*(c*x^2+b*x+a)^(5/2)*e*h^2-3/64/c^3*b^3*(c*x^2+b*x+a)^(3/2)*x*e*h^2-9/256*f*h^2/c^4*b^3*a*(c*x^2+b*x+a)^(3/2)-57/1024*f*h^2/c^4*b^3*a^2*(c*x^2+b*x+a)^(1/2)-11/112*f*h^2/c^2*b*x^2*(c*x^2+b*x+a)^(5/2)+93/1120*f*h^2/c^3*b*a*(c*x^2+b*x+a)^(5/2)+105/1024*f*h^2/c^(9/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-63/2048*f*h^2/c^(11/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+3/128/c^3*b^4*(c*x^2+b*x+a)^(1/2)*e*g^2-3/256/c^(7/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g^2+1/8*d*g^2/c*(c*x^2+b*x+a)^(3/2)*b+3/8*d*g^2*(c*x^2+b*x+a)^(1/2)*x*a-3/64*d*g^2/c^2*(c*x^2+b*x+a)^(1/2)*b^3+3/8*d*g^2/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+7/96/c^2*b^2*(c*x^2+b*x+a)^(3/2)*x*d*h^2+7/96/c^2*b^2*(c*x^2+b*x+a)^(3/2)*x*f*g^2+7/96/c^3*b^3*(c*x^2+b*x+a)^(3/2)*e*g*h-7/256/c^3*b^4*(c*x^2+b*x+a)^(1/2)*x*d*h^2-9/128*f*h^2/c^3*b^2*a*(c*x^2+b*x+a)^(3/2)*x-57/512*f*h^2/c^3*b^2*a^2*(c*x^2+b*x+a)^(1/2)*x-1/16/c^2*b^2*(c*x^2+b*x+a)^(3/2)*e*g^2+2/5*(c*x^2+b*x+a)^(5/2)/c*d*g*h-3/32/c^3*b^3*(c*x^2+b*x+a)^(1/2)*x*a*e*h^2-15/64/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*f*g*h+21/256/c^(9/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*f*g*h+1/16/c^2*b*a*(c*x^2+b*x+a)^(3/2)*x*e*h^2+1/16/c^3*b^2*a*(c*x^2+b*x+a)^(3/2)*f*g*h+3/32/c^3*b^2*a^2*(c*x^2+b*x+a)^(1/2)*f*g*h+3/32/c^2*b*a^2*(c*x^2+b*x+a)^(1/2)*x*e*h^2+9/32/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*e*g*h+1/8/c^3*b^3*(c*x^2+b*x+a)^(1/2)*a*e*g*h-1/4/c*b*(c*x^2+b*x+a)^(3/2)*x*d*g*h-3/16/c*b*(c*x^2+b*x+a)^(1/2)*x*a*e*g^2+3/32/c^2*b^3*(c*x^2+b*x+a)^(1/2)*x*d*g*h-3/16/c^2*b^2*(c*x^2+b*x+a)^(1/2)*a*d*g*h-3/8/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*d*g*h+3/16/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*g*h+9/256/c^4*b^5*(c*x^2+b*x+a)^(1/2)*x*f*g*h-3/14/c^2*b*x*(c*x^2+b*x+a)^(5/2)*f*g*h-3/32/c^3*b^3*(c*x^2+b*x+a)^(3/2)*x*f*g*h-3/32/c^4*b^4*(c*x^2+b*x+a)^(1/2)*a*f*g*h-3/32/c^2*b^2*(c*x^2+b*x+a)^(1/2)*a*e*g^2+3/64/c^3*b^4*(c*x^2+b*x+a)^(1/2)*d*g*h-3/16/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*e*g^2+3/32/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*g^2-3/128/c^(7/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*g*h-3/32*d*g^2/c*(c*x^2+b*x+a)^(1/2)*x*b^2+2/7*x^2*(c*x^2+b*x+a)^(5/2)/c*f*g*h-4/35*a/c^2*(c*x^2+b*x+a)^(5/2)*f*g*h-15/128*f*h^2/c^(7/2)*b^2*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/128*f*h^2*a^2/c^3*(c*x^2+b*x+a)^(3/2)*b+3/128*f*h^2*a^3/c^2*(c*x^2+b*x+a)^(1/2)*x+3/256*f*h^2*a^3/c^3*(c*x^2+b*x+a)^(1/2)*b-1/16*f*h^2*a/c^2*x*(c*x^2+b*x+a)^(5/2)+1/64*f*h^2*a^2/c^2*(c*x^2+b*x+a)^(3/2)*x+33/448*f*h^2/c^3*b^2*x*(c*x^2+b*x+a)^(5/2)+33/1024*f*h^2/c^4*b^4*(c*x^2+b*x+a)^(3/2)*x-99/8192*f*h^2/c^5*b^6*(c*x^2+b*x+a)^(1/2)*x-1/8/c*b*(c*x^2+b*x+a)^(3/2)*x*e*g^2-1/8/c^2*b^2*(c*x^2+b*x+a)^(3/2)*d*g*h+3/64/c^2*b^3*(c*x^2+b*x+a)^(1/2)*x*e*g^2+9/512/c^4*b^5*(c*x^2+b*x+a)^(1/2)*x*e*h^2-3/64/c^4*b^4*(c*x^2+b*x+a)^(1/2)*a*e*h^2-9/1024/c^(11/2)*b^7*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g*h+1/32/c^3*b^2*a*(c*x^2+b*x+a)^(3/2)*e*h^2+3/64/c^3*b^2*a^2*(c*x^2+b*x+a)^(1/2)*e*h^2-15/256/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*h^2-15/256/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*f*g^2+7/512/c^(9/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g*h-1/24*a/c*(c*x^2+b*x+a)^(3/2)*x*d*h^2-1/24*a/c*(c*x^2+b*x+a)^(3/2)*x*f*g^2-1/48*a/c^2*(c*x^2+b*x+a)^(3/2)*b*d*h^2-1/48*a/c^2*(c*x^2+b*x+a)^(3/2)*b*f*g^2-1/16*a^2/c*(c*x^2+b*x+a)^(1/2)*x*d*h^2-1/16*a^2/c*(c*x^2+b*x+a)^(1/2)*x*f*g^2-1/32*a^2/c^2*(c*x^2+b*x+a)^(1/2)*b*d*h^2-1/32*a^2/c^2*(c*x^2+b*x+a)^(1/2)*b*f*g^2-1/8*a^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g*h+1/3*x*(c*x^2+b*x+a)^(5/2)/c*e*g*h+3/16*d*g^2/c*(c*x^2+b*x+a)^(1/2)*b*a-3/16*d*g^2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2*a-1/16*a^2/c^2*(c*x^2+b*x+a)^(1/2)*b*e*g*h+7/48/c^2*b^2*(c*x^2+b*x+a)^(3/2)*x*e*g*h+1/8/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*a*d*h^2+1/8/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*a*f*g^2-7/128/c^3*b^4*(c*x^2+b*x+a)^(1/2)*x*e*g*h+153/2048*f*h^2/c^4*b^4*(c*x^2+b*x+a)^(1/2)*x*a-7/256/c^3*b^4*(c*x^2+b*x+a)^(1/2)*x*f*g^2+1/16/c^3*b^3*(c*x^2+b*x+a)^(1/2)*a*d*h^2+1/16/c^3*b^3*(c*x^2+b*x+a)^(1/2)*a*f*g^2-7/256/c^4*b^5*(c*x^2+b*x+a)^(1/2)*e*g*h+9/64/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*d*h^2+9/64/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*f*g^2+153/4096*f*h^2/c^5*b^5*(c*x^2+b*x+a)^(1/2)*a+33/2048*f*h^2/c^5*b^5*(c*x^2+b*x+a)^(3/2)-99/16384*f*h^2/c^6*b^7*(c*x^2+b*x+a)^(1/2)+3/128*d*g^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4-9/2048/c^(11/2)*b^7*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h^2+1/7*x^2*(c*x^2+b*x+a)^(5/2)/c*e*h^2-2/35*a/c^2*(c*x^2+b*x+a)^(5/2)*e*h^2+3/40/c^3*b^2*(c*x^2+b*x+a)^(5/2)*e*h^2-3/128/c^4*b^4*(c*x^2+b*x+a)^(3/2)*e*h^2+9/1024/c^5*b^6*(c*x^2+b*x+a)^(1/2)*e*h^2+1/6*x*(c*x^2+b*x+a)^(5/2)/c*d*h^2+1/6*x*(c*x^2+b*x+a)^(5/2)/c*f*g^2-7/60/c^2*b*(c*x^2+b*x+a)^(5/2)*d*h^2-7/60/c^2*b*(c*x^2+b*x+a)^(5/2)*f*g^2+7/192/c^3*b^3*(c*x^2+b*x+a)^(3/2)*d*h^2+7/192/c^3*b^3*(c*x^2+b*x+a)^(3/2)*f*g^2-7/512/c^4*b^5*(c*x^2+b*x+a)^(1/2)*d*h^2-7/512/c^4*b^5*(c*x^2+b*x+a)^(1/2)*f*g^2+7/1024/c^(9/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h^2+7/1024/c^(9/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^2-1/16*a^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h^2-1/16*a^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^2+3/128*f*h^2*a^4/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+99/32768*f*h^2/c^(13/2)*b^8*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/8*f*h^2*x^3*(c*x^2+b*x+a)^(5/2)/c-33/640*f*h^2/c^4*b^3*(c*x^2+b*x+a)^(5/2)-3/16/c^3*b^3*(c*x^2+b*x+a)^(1/2)*x*a*f*g*h+1/8/c^2*b*a*(c*x^2+b*x+a)^(3/2)*x*f*g*h+3/16/c^2*b*a^2*(c*x^2+b*x+a)^(1/2)*x*f*g*h+1/4/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*a*e*g*h-3/8/c*b*(c*x^2+b*x+a)^(1/2)*x*a*d*g*h","B"
198,1,2026,392,0.011000," ","int((h*x+g)*(c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d),x)","\frac{3 a^{3} b f h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}-\frac{a^{3} e h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}-\frac{a^{3} f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}-\frac{15 a^{2} b^{3} f h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{7}{2}}}+\frac{9 a^{2} b^{2} e h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}+\frac{9 a^{2} b^{2} f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}-\frac{3 a^{2} b d h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}-\frac{3 a^{2} b e g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 a^{2} d g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 \sqrt{c}}+\frac{21 a \,b^{5} f h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{512 c^{\frac{9}{2}}}-\frac{15 a \,b^{4} e h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}-\frac{15 a \,b^{4} f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{3 a \,b^{3} d h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}+\frac{3 a \,b^{3} e g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}-\frac{3 a \,b^{2} d g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}-\frac{9 b^{7} f h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2048 c^{\frac{11}{2}}}+\frac{7 b^{6} e h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}+\frac{7 b^{6} f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}-\frac{3 b^{5} d h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}-\frac{3 b^{5} e g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{3 b^{4} d g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a^{2} b f h x}{32 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} e h x}{16 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} f g x}{16 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{3} f h x}{32 c^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{2} e h x}{8 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{2} f g x}{8 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b d h x}{16 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b e g x}{16 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a d g x}{8}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, b^{5} f h x}{512 c^{4}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{4} e h x}{256 c^{3}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{4} f g x}{256 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{3} d h x}{64 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{3} e g x}{64 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{2} d g x}{32 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a^{2} b^{2} f h}{64 c^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b e h}{32 c^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b f g}{32 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{4} f h}{64 c^{4}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{3} e h}{16 c^{3}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{3} f g}{16 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} d h}{32 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} e g}{32 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b d g}{16 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b f h x}{16 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a e h x}{24 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a f g x}{24 c}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, b^{6} f h}{1024 c^{5}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{5} e h}{512 c^{4}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{5} f g}{512 c^{4}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{4} d h}{128 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{4} e g}{128 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{3} d g}{64 c^{2}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} f h x}{64 c^{3}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} e h x}{96 c^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} f g x}{96 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b d h x}{8 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b e g x}{8 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} f h \,x^{2}}{7 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d g x}{4}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a \,b^{2} f h}{32 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b e h}{48 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b f g}{48 c^{2}}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{4} f h}{128 c^{4}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} e h}{192 c^{3}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} f g}{192 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} d h}{16 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} e g}{16 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b d g}{8 c}-\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b f h x}{28 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} e h x}{6 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} f g x}{6 c}-\frac{2 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} a f h}{35 c^{2}}+\frac{3 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b^{2} f h}{40 c^{3}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b e h}{60 c^{2}}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b f g}{60 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} d h}{5 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} e g}{5 c}"," ",0,"1/4*d*g*(c*x^2+b*x+a)^(3/2)*x+1/5*(c*x^2+b*x+a)^(5/2)/c*d*h+1/5*(c*x^2+b*x+a)^(5/2)/c*e*g+9/1024*h*f/c^5*b^6*(c*x^2+b*x+a)^(1/2)-3/32*h*f/c^3*b^3*(c*x^2+b*x+a)^(1/2)*x*a+3/32*h*f/c^2*b*a^2*(c*x^2+b*x+a)^(1/2)*x+1/16*h*f/c^2*b*a*(c*x^2+b*x+a)^(3/2)*x-3/16/c*b*(c*x^2+b*x+a)^(1/2)*x*a*d*h-3/16/c*b*(c*x^2+b*x+a)^(1/2)*x*a*e*g+1/8/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*a*f*g+1/8/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*a*e*h-3/128*h*f/c^4*b^4*(c*x^2+b*x+a)^(3/2)-15/128*h*f/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-15/256/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*f*g-1/24*a/c*(c*x^2+b*x+a)^(3/2)*x*e*h-1/48*a/c^2*(c*x^2+b*x+a)^(3/2)*b*f*g-1/48*a/c^2*(c*x^2+b*x+a)^(3/2)*b*e*h+1/6*x*(c*x^2+b*x+a)^(5/2)/c*e*h+1/6*x*(c*x^2+b*x+a)^(5/2)/c*f*g-1/16/c^2*b^2*(c*x^2+b*x+a)^(3/2)*d*h-1/16/c^2*b^2*(c*x^2+b*x+a)^(3/2)*e*g+3/128/c^3*b^4*(c*x^2+b*x+a)^(1/2)*d*h+3/128/c^3*b^4*(c*x^2+b*x+a)^(1/2)*e*g-3/256/c^(7/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h-7/256/c^3*b^4*(c*x^2+b*x+a)^(1/2)*x*e*h-7/256/c^3*b^4*(c*x^2+b*x+a)^(1/2)*x*f*g+1/16/c^3*b^3*(c*x^2+b*x+a)^(1/2)*a*e*h+1/16/c^3*b^3*(c*x^2+b*x+a)^(1/2)*a*f*g+9/64/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*e*h+9/64/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*f*g-15/256/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*h-1/16*a^2/c*(c*x^2+b*x+a)^(1/2)*x*e*h-1/16*a^2/c*(c*x^2+b*x+a)^(1/2)*x*f*g-1/32*a^2/c^2*(c*x^2+b*x+a)^(1/2)*b*e*h-1/32*a^2/c^2*(c*x^2+b*x+a)^(1/2)*b*f*g+7/96/c^2*b^2*(c*x^2+b*x+a)^(3/2)*x*e*h+7/96/c^2*b^2*(c*x^2+b*x+a)^(3/2)*x*f*g-1/8/c*b*(c*x^2+b*x+a)^(3/2)*x*d*h-1/8/c*b*(c*x^2+b*x+a)^(3/2)*x*e*g+3/64/c^2*b^3*(c*x^2+b*x+a)^(1/2)*x*d*h+3/64/c^2*b^3*(c*x^2+b*x+a)^(1/2)*x*e*g-3/32/c^2*b^2*(c*x^2+b*x+a)^(1/2)*a*d*h-3/32/c^2*b^2*(c*x^2+b*x+a)^(1/2)*a*e*g-3/16/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*d*h-3/16/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2*e*g+3/32/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*d*h+3/32/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a*e*g-3/32*d*g/c*(c*x^2+b*x+a)^(1/2)*x*b^2+3/16*d*g/c*(c*x^2+b*x+a)^(1/2)*b*a-3/16*d*g/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2*a-1/24*a/c*(c*x^2+b*x+a)^(3/2)*x*f*g+1/32*h*f/c^3*b^2*a*(c*x^2+b*x+a)^(3/2)+3/64*h*f/c^3*b^2*a^2*(c*x^2+b*x+a)^(1/2)-3/28*h*f/c^2*b*x*(c*x^2+b*x+a)^(5/2)+21/512*h*f/c^(9/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+3/32*h*f/c^(5/2)*b*a^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-3/64*h*f/c^3*b^3*(c*x^2+b*x+a)^(3/2)*x+9/512*h*f/c^4*b^5*(c*x^2+b*x+a)^(1/2)*x-3/64*h*f/c^4*b^4*(c*x^2+b*x+a)^(1/2)*a-3/256/c^(7/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g+1/8*d*g/c*(c*x^2+b*x+a)^(3/2)*b+3/8*d*g*(c*x^2+b*x+a)^(1/2)*x*a-3/64*d*g/c^2*(c*x^2+b*x+a)^(1/2)*b^3+3/8*d*g/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+3/128*d*g/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4-7/60/c^2*b*(c*x^2+b*x+a)^(5/2)*e*h-7/60/c^2*b*(c*x^2+b*x+a)^(5/2)*f*g+7/192/c^3*b^3*(c*x^2+b*x+a)^(3/2)*e*h+7/192/c^3*b^3*(c*x^2+b*x+a)^(3/2)*f*g-7/512/c^4*b^5*(c*x^2+b*x+a)^(1/2)*e*h-7/512/c^4*b^5*(c*x^2+b*x+a)^(1/2)*f*g+7/1024/c^(9/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h+7/1024/c^(9/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g-1/16*a^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h-1/16*a^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g-9/2048*h*f/c^(11/2)*b^7*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/7*h*f*x^2*(c*x^2+b*x+a)^(5/2)/c-2/35*h*f*a/c^2*(c*x^2+b*x+a)^(5/2)+3/40*h*f/c^3*b^2*(c*x^2+b*x+a)^(5/2)","B"
199,1,862,210,0.007000," ","int((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d),x)","-\frac{a^{3} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{9 a^{2} b^{2} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{64 c^{\frac{5}{2}}}-\frac{3 a^{2} b e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{3 a^{2} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 \sqrt{c}}-\frac{15 a \,b^{4} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{3 a \,b^{3} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{5}{2}}}-\frac{3 a \,b^{2} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{3}{2}}}+\frac{7 b^{6} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{1024 c^{\frac{9}{2}}}-\frac{3 b^{5} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{7}{2}}}+\frac{3 b^{4} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{5}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} f x}{16 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{2} f x}{8 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b e x}{16 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a d x}{8}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{4} f x}{256 c^{3}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{3} e x}{64 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{2} d x}{32 c}-\frac{\sqrt{c \,x^{2}+b x +a}\, a^{2} b f}{32 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, a \,b^{3} f}{16 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} e}{32 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, a b d}{16 c}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a f x}{24 c}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b^{5} f}{512 c^{4}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{4} e}{128 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b^{3} d}{64 c^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} f x}{96 c^{2}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b e x}{8 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} d x}{4}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} a b f}{48 c^{2}}+\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{3} f}{192 c^{3}}-\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b^{2} e}{16 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} b d}{8 c}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} f x}{6 c}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} b f}{60 c^{2}}+\frac{\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} e}{5 c}"," ",0,"1/8*f/c^2*b^2*(c*x^2+b*x+a)^(1/2)*x*a-3/16*e/c*b*(c*x^2+b*x+a)^(1/2)*x*a+1/6*f*x*(c*x^2+b*x+a)^(5/2)/c+1/8*d/c*(c*x^2+b*x+a)^(3/2)*b+3/8*d*(c*x^2+b*x+a)^(1/2)*x*a-3/64*d/c^2*(c*x^2+b*x+a)^(1/2)*b^3+3/8*d/c^(1/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+3/128*d/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^4-1/16*e/c^2*b^2*(c*x^2+b*x+a)^(3/2)+3/128*e/c^3*b^4*(c*x^2+b*x+a)^(1/2)-3/256*e/c^(7/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-7/60*f/c^2*b*(c*x^2+b*x+a)^(5/2)+7/192*f/c^3*b^3*(c*x^2+b*x+a)^(3/2)-7/512*f/c^4*b^5*(c*x^2+b*x+a)^(1/2)+7/1024*f/c^(9/2)*b^6*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/16*f*a^3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/16*d/c*(c*x^2+b*x+a)^(1/2)*b*a-3/16*d/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*b^2*a+1/4*d*(c*x^2+b*x+a)^(3/2)*x+1/5*e*(c*x^2+b*x+a)^(5/2)/c-1/24*f*a/c*(c*x^2+b*x+a)^(3/2)*x-1/8*e/c*b*(c*x^2+b*x+a)^(3/2)*x-1/32*f*a^2/c^2*(c*x^2+b*x+a)^(1/2)*b-1/48*f*a/c^2*(c*x^2+b*x+a)^(3/2)*b-1/16*f*a^2/c*(c*x^2+b*x+a)^(1/2)*x-3/32*d/c*(c*x^2+b*x+a)^(1/2)*x*b^2+3/64*e/c^2*b^3*(c*x^2+b*x+a)^(1/2)*x-3/32*e/c^2*b^2*(c*x^2+b*x+a)^(1/2)*a-3/16*e/c^(3/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2+3/32*e/c^(5/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a+7/96*f/c^2*b^2*(c*x^2+b*x+a)^(3/2)*x-7/256*f/c^3*b^4*(c*x^2+b*x+a)^(1/2)*x+1/16*f/c^3*b^3*(c*x^2+b*x+a)^(1/2)*a+9/64*f/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a^2-15/256*f/c^(7/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*a","B"
200,1,6715,628,0.017000," ","int((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g),x)","\text{output too large to display}"," ",0,"result too large to display","B"
201,1,14734,724,0.020000," ","int((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^2,x)","\text{output too large to display}"," ",0,"result too large to display","B"
202,1,26596,792,0.025000," ","int((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
203,1,40092,801,0.029000," ","int((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^4,x)","\text{output too large to display}"," ",0,"result too large to display","B"
204,1,57957,1065,0.057000," ","int((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^5,x)","\text{output too large to display}"," ",0,"result too large to display","B"
205,1,76693,1196,0.069000," ","int((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^6,x)","\text{output too large to display}"," ",0,"result too large to display","B"
206,1,100754,631,0.133000," ","int((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^7,x)","\text{output too large to display}"," ",0,"result too large to display","B"
207,1,126612,1032,0.184000," ","int((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g)^8,x)","\text{output too large to display}"," ",0,"result too large to display","B"
208,1,115,118,0.016000," ","int((2*x+1)^3*(4*x^2+3*x+1)*(3*x^2-x+2)^(1/2),x)","\frac{32 \left(3 x^{2}-x +2\right)^{\frac{3}{2}} x^{4}}{21}+\frac{844 \left(3 x^{2}-x +2\right)^{\frac{3}{2}} x^{3}}{189}+\frac{1594 \left(3 x^{2}-x +2\right)^{\frac{3}{2}} x^{2}}{315}+\frac{7849 \left(3 x^{2}-x +2\right)^{\frac{3}{2}} x}{3780}-\frac{124039 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{93312}-\frac{5393 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{15552}-\frac{45739 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{68040}"," ",0,"32/21*x^4*(3*x^2-x+2)^(3/2)+844/189*x^3*(3*x^2-x+2)^(3/2)+7849/3780*x*(3*x^2-x+2)^(3/2)+1594/315*x^2*(3*x^2-x+2)^(3/2)-124039/93312*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))-5393/15552*(6*x-1)*(3*x^2-x+2)^(1/2)-45739/68040*(3*x^2-x+2)^(3/2)","A"
209,1,98,97,0.008000," ","int((2*x+1)^2*(4*x^2+3*x+1)*(3*x^2-x+2)^(1/2),x)","\frac{8 \left(3 x^{2}-x +2\right)^{\frac{3}{2}} x^{3}}{9}+\frac{32 \left(3 x^{2}-x +2\right)^{\frac{3}{2}} x^{2}}{15}+\frac{83 \left(3 x^{2}-x +2\right)^{\frac{3}{2}} x}{45}-\frac{5405 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{7776}+\frac{277 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{810}-\frac{235 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{1296}"," ",0,"8/9*(3*x^2-x+2)^(3/2)*x^3+32/15*(3*x^2-x+2)^(3/2)*x^2+83/45*(3*x^2-x+2)^(3/2)*x+277/810*(3*x^2-x+2)^(3/2)-235/1296*(6*x-1)*(3*x^2-x+2)^(1/2)-5405/7776*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","A"
210,1,81,76,0.007000," ","int((2*x+1)*(4*x^2+3*x+1)*(3*x^2-x+2)^(1/2),x)","\frac{8 \left(3 x^{2}-x +2\right)^{\frac{3}{2}} x^{2}}{15}+\frac{89 \left(3 x^{2}-x +2\right)^{\frac{3}{2}} x}{90}-\frac{437 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{15552}+\frac{961 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{1620}-\frac{19 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{2592}"," ",0,"8/15*(3*x^2-x+2)^(3/2)*x^2+89/90*(3*x^2-x+2)^(3/2)*x+961/1620*(3*x^2-x+2)^(3/2)-19/2592*(6*x-1)*(3*x^2-x+2)^(1/2)-437/15552*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","A"
211,1,95,78,0.010000," ","int((4*x^2+3*x+1)*(3*x^2-x+2)^(1/2)/(2*x+1),x)","\frac{43 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{432}-\frac{\sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{8}+\frac{2 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{9}+\frac{5 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{72}+\frac{\sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}{8}"," ",0,"2/9*(3*x^2-x+2)^(3/2)+5/72*(6*x-1)*(3*x^2-x+2)^(1/2)+43/432*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))+1/8*(12*(x+1/2)^2-16*x+5)^(1/2)-1/8*13^(1/2)*arctanh(2/13*(9/2-4*x)*13^(1/2)/(12*(x+1/2)^2-16*x+5)^(1/2))","A"
212,1,123,85,0.014000," ","int((4*x^2+3*x+1)*(3*x^2-x+2)^(1/2)/(2*x+1)^2,x)","\frac{11 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{18}+\frac{17 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{104}+\frac{\left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{12}-\frac{17 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}{104}-\frac{\left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{26 \left(x +\frac{1}{2}\right)}+\frac{\left(6 x -1\right) \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{52}"," ",0,"1/12*(6*x-1)*(3*x^2-x+2)^(1/2)+11/18*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))-17/104*(-16*x+12*(x+1/2)^2+5)^(1/2)+17/104*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))-1/26/(x+1/2)*(3*(x+1/2)^2-4*x+5/4)^(3/2)+1/52*(6*x-1)*(3*(x+1/2)^2-4*x+5/4)^(1/2)","A"
213,1,125,92,0.013000," ","int((4*x^2+3*x+1)*(3*x^2-x+2)^(1/2)/(2*x+1)^3,x)","-\frac{11 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{24}-\frac{803 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{2704}+\frac{803 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}{2704}+\frac{11 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{338 \left(x +\frac{1}{2}\right)}-\frac{11 \left(6 x -1\right) \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{676}-\frac{\left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{104 \left(x +\frac{1}{2}\right)^{2}}"," ",0,"803/2704*(-16*x+12*(x+1/2)^2+5)^(1/2)-11/24*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))-803/2704*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))+11/338/(x+1/2)*(-4*x+3*(x+1/2)^2+5/4)^(3/2)-11/676*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(1/2)-1/104/(x+1/2)^2*(-4*x+3*(x+1/2)^2+5/4)^(3/2)","A"
214,1,134,129,0.016000," ","int((2*x+1)^3*(3*x^2-x+2)^(3/2)*(4*x^2+3*x+1),x)","\frac{32 \left(3 x^{2}-x +2\right)^{\frac{5}{2}} x^{4}}{27}+\frac{269 \left(3 x^{2}-x +2\right)^{\frac{5}{2}} x^{3}}{81}+\frac{1777 \left(3 x^{2}-x +2\right)^{\frac{5}{2}} x^{2}}{486}+\frac{1099 \left(3 x^{2}-x +2\right)^{\frac{5}{2}} x}{648}-\frac{28879697 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{26873856}-\frac{54593 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{559872}-\frac{1255639 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{4478976}+\frac{1207 \left(3 x^{2}-x +2\right)^{\frac{5}{2}}}{58320}"," ",0,"32/27*x^4*(3*x^2-x+2)^(5/2)+269/81*x^3*(3*x^2-x+2)^(5/2)+1777/486*x^2*(3*x^2-x+2)^(5/2)+1099/648*x*(3*x^2-x+2)^(5/2)-54593/559872*(6*x-1)*(3*x^2-x+2)^(3/2)-28879697/26873856*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))-1255639/4478976*(6*x-1)*(3*x^2-x+2)^(1/2)+1207/58320*(3*x^2-x+2)^(5/2)","A"
215,1,117,116,0.006000," ","int((2*x+1)^2*(3*x^2-x+2)^(3/2)*(4*x^2+3*x+1),x)","\frac{2 \left(3 x^{2}-x +2\right)^{\frac{5}{2}} x^{3}}{3}+\frac{95 \left(3 x^{2}-x +2\right)^{\frac{5}{2}} x^{2}}{63}+\frac{319 \left(3 x^{2}-x +2\right)^{\frac{5}{2}} x}{252}-\frac{48139 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{165888}-\frac{91 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{3456}-\frac{2093 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{27648}+\frac{907 \left(3 x^{2}-x +2\right)^{\frac{5}{2}}}{2520}"," ",0,"2/3*(3*x^2-x+2)^(5/2)*x^3+95/63*(3*x^2-x+2)^(5/2)*x^2+319/252*(3*x^2-x+2)^(5/2)*x-91/3456*(6*x-1)*(3*x^2-x+2)^(3/2)-48139/165888*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))-2093/27648*(6*x-1)*(3*x^2-x+2)^(1/2)+907/2520*(3*x^2-x+2)^(5/2)","A"
216,1,100,95,0.005000," ","int((2*x+1)*(3*x^2-x+2)^(3/2)*(4*x^2+3*x+1),x)","\frac{8 \left(3 x^{2}-x +2\right)^{\frac{5}{2}} x^{2}}{21}+\frac{41 \left(3 x^{2}-x +2\right)^{\frac{5}{2}} x}{63}+\frac{37559 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{124416}+\frac{145 \left(3 x^{2}-x +2\right)^{\frac{5}{2}}}{378}+\frac{71 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{2592}+\frac{1633 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{20736}"," ",0,"8/21*(3*x^2-x+2)^(5/2)*x^2+41/63*(3*x^2-x+2)^(5/2)*x+145/378*(3*x^2-x+2)^(5/2)+71/2592*(6*x-1)*(3*x^2-x+2)^(3/2)+1633/20736*(6*x-1)*(3*x^2-x+2)^(1/2)+37559/124416*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","A"
217,1,151,97,0.008000," ","int((3*x^2-x+2)^(3/2)*(4*x^2+3*x+1)/(2*x+1),x)","-\frac{2203 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{6912}-\frac{13 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{32}+\frac{2 \left(3 x^{2}-x +2\right)^{\frac{5}{2}}}{15}+\frac{5 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{144}+\frac{115 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{1152}+\frac{\left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{12}-\frac{\left(6 x -1\right) \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{24}+\frac{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}{32}"," ",0,"2/15*(3*x^2-x+2)^(5/2)+5/144*(6*x-1)*(3*x^2-x+2)^(3/2)+115/1152*(6*x-1)*(3*x^2-x+2)^(1/2)-2203/6912*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))+1/12*(-4*x+3*(x+1/2)^2+5/4)^(3/2)-1/24*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(1/2)+13/32*(-16*x+12*(x+1/2)^2+5)^(1/2)-13/32*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))","A"
218,1,179,104,0.011000," ","int((3*x^2-x+2)^(3/2)*(4*x^2+3*x+1)/(2*x+1)^2,x)","\frac{2327 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{1152}+\frac{25 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{32}+\frac{\left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{24}+\frac{23 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{192}-\frac{25 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{156}+\frac{13 \left(6 x -1\right) \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{96}-\frac{25 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}{32}-\frac{\left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{5}{2}}}{26 \left(x +\frac{1}{2}\right)}+\frac{\left(6 x -1\right) \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{52}"," ",0,"1/24*(6*x-1)*(3*x^2-x+2)^(3/2)+23/192*(6*x-1)*(3*x^2-x+2)^(1/2)+2327/1152*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))-25/156*(-4*x+3*(x+1/2)^2+5/4)^(3/2)+13/96*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(1/2)-25/32*(-16*x+12*(x+1/2)^2+5)^(1/2)+25/32*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))-1/26/(x+1/2)*(-4*x+3*(x+1/2)^2+5/4)^(5/2)+1/52*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(3/2)","A"
219,1,162,111,0.013000," ","int((3*x^2-x+2)^(3/2)*(4*x^2+3*x+1)/(2*x+1)^3,x)","-\frac{1519 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{576}-\frac{1153 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{832}+\frac{1153 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{4056}-\frac{257 \left(6 x -1\right) \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{1248}+\frac{1153 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}{832}+\frac{15 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{5}{2}}}{338 \left(x +\frac{1}{2}\right)}-\frac{15 \left(6 x -1\right) \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{676}-\frac{\left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{5}{2}}}{104 \left(x +\frac{1}{2}\right)^{2}}"," ",0,"1153/4056*(-4*x+3*(x+1/2)^2+5/4)^(3/2)-257/1248*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(1/2)-1519/576*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))+1153/832*(-16*x+12*(x+1/2)^2+5)^(1/2)-1153/832*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))+15/338/(x+1/2)*(-4*x+3*(x+1/2)^2+5/4)^(5/2)-15/676*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(3/2)-1/104/(x+1/2)^2*(-4*x+3*(x+1/2)^2+5/4)^(5/2)","A"
220,1,153,156,0.017000," ","int((2*x+1)^3*(3*x^2-x+2)^(5/2)*(4*x^2+3*x+1),x)","\frac{32 \left(3 x^{2}-x +2\right)^{\frac{7}{2}} x^{4}}{33}+\frac{436 \left(3 x^{2}-x +2\right)^{\frac{7}{2}} x^{3}}{165}+\frac{4258 \left(3 x^{2}-x +2\right)^{\frac{7}{2}} x^{2}}{1485}+\frac{10073 \left(3 x^{2}-x +2\right)^{\frac{7}{2}} x}{7128}-\frac{61917863 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{71663616}-\frac{5089 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{5}{2}}}{155520}-\frac{117047 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{1492992}-\frac{2692081 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{11943936}+\frac{92423 \left(3 x^{2}-x +2\right)^{\frac{7}{2}}}{498960}"," ",0,"32/33*x^4*(3*x^2-x+2)^(7/2)+436/165*x^3*(3*x^2-x+2)^(7/2)+4258/1485*x^2*(3*x^2-x+2)^(7/2)+10073/7128*x*(3*x^2-x+2)^(7/2)-5089/155520*(6*x-1)*(3*x^2-x+2)^(5/2)-117047/1492992*(6*x-1)*(3*x^2-x+2)^(3/2)-61917863/71663616*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))-2692081/11943936*(6*x-1)*(3*x^2-x+2)^(1/2)+92423/498960*(3*x^2-x+2)^(7/2)","A"
221,1,136,135,0.007000," ","int((2*x+1)^2*(3*x^2-x+2)^(5/2)*(4*x^2+3*x+1),x)","\frac{8 \left(3 x^{2}-x +2\right)^{\frac{7}{2}} x^{3}}{15}+\frac{472 \left(3 x^{2}-x +2\right)^{\frac{7}{2}} x^{2}}{405}+\frac{235 \left(3 x^{2}-x +2\right)^{\frac{7}{2}} x}{243}+\frac{3564931 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{26873856}+\frac{293 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{5}{2}}}{58320}+\frac{6739 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{559872}+\frac{154997 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{4478976}+\frac{5419 \left(3 x^{2}-x +2\right)^{\frac{7}{2}}}{17010}"," ",0,"8/15*(3*x^2-x+2)^(7/2)*x^3+472/405*(3*x^2-x+2)^(7/2)*x^2+235/243*(3*x^2-x+2)^(7/2)*x+293/58320*(6*x-1)*(3*x^2-x+2)^(5/2)+6739/559872*(6*x-1)*(3*x^2-x+2)^(3/2)+3564931/26873856*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))+154997/4478976*(6*x-1)*(3*x^2-x+2)^(1/2)+5419/17010*(3*x^2-x+2)^(7/2)","A"
222,1,119,114,0.006000," ","int((2*x+1)*(3*x^2-x+2)^(5/2)*(4*x^2+3*x+1),x)","\frac{8 \left(3 x^{2}-x +2\right)^{\frac{7}{2}} x^{2}}{27}+\frac{157 \left(3 x^{2}-x +2\right)^{\frac{7}{2}} x}{324}+\frac{27071575 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{35831808}+\frac{185 \left(3 x^{2}-x +2\right)^{\frac{7}{2}}}{648}+\frac{445 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{5}{2}}}{15552}+\frac{51175 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{746496}+\frac{1177025 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{5971968}"," ",0,"8/27*(3*x^2-x+2)^(7/2)*x^2+157/324*(3*x^2-x+2)^(7/2)*x+185/648*(3*x^2-x+2)^(7/2)+445/15552*(6*x-1)*(3*x^2-x+2)^(5/2)+51175/746496*(6*x-1)*(3*x^2-x+2)^(3/2)+1177025/5971968*(6*x-1)*(3*x^2-x+2)^(1/2)+27071575/35831808*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","A"
223,1,207,116,0.010000," ","int((3*x^2-x+2)^(5/2)*(4*x^2+3*x+1)/(2*x+1),x)","-\frac{944521 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{497664}-\frac{169 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{128}+\frac{2 \left(3 x^{2}-x +2\right)^{\frac{7}{2}}}{21}+\frac{5 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{5}{2}}}{216}+\frac{575 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{10368}+\frac{13225 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{82944}+\frac{\left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{5}{2}}}{20}-\frac{\left(6 x -1\right) \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{48}-\frac{25 \left(6 x -1\right) \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{128}+\frac{13 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{48}+\frac{169 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}{128}"," ",0,"2/21*(3*x^2-x+2)^(7/2)+5/216*(6*x-1)*(3*x^2-x+2)^(5/2)+575/10368*(6*x-1)*(3*x^2-x+2)^(3/2)+13225/82944*(6*x-1)*(3*x^2-x+2)^(1/2)-944521/497664*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))+1/20*(-4*x+3*(x+1/2)^2+5/4)^(5/2)-1/48*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(3/2)-25/128*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(1/2)+13/48*(-4*x+3*(x+1/2)^2+5/4)^(3/2)+169/128*(-16*x+12*(x+1/2)^2+5)^(1/2)-169/128*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))","A"
224,1,235,123,0.012000," ","int((3*x^2-x+2)^(5/2)*(4*x^2+3*x+1)/(2*x+1)^2,x)","\frac{315623 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{41472}+\frac{429 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{128}+\frac{\left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{5}{2}}}{36}+\frac{115 \left(6 x -1\right) \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}{1728}+\frac{2645 \left(6 x -1\right) \sqrt{3 x^{2}-x +2}}{13824}-\frac{33 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{5}{2}}}{260}+\frac{19 \left(6 x -1\right) \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{192}+\frac{965 \left(6 x -1\right) \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{1536}-\frac{11 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{16}-\frac{429 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}{128}-\frac{\left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{7}{2}}}{26 \left(x +\frac{1}{2}\right)}+\frac{\left(6 x -1\right) \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{5}{2}}}{52}"," ",0,"1/36*(6*x-1)*(3*x^2-x+2)^(5/2)+115/1728*(6*x-1)*(3*x^2-x+2)^(3/2)+2645/13824*(6*x-1)*(3*x^2-x+2)^(1/2)+315623/41472*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))-33/260*(-4*x+3*(x+1/2)^2+5/4)^(5/2)+19/192*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(3/2)+965/1536*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(1/2)-11/16*(-4*x+3*(x+1/2)^2+5/4)^(3/2)-429/128*(-16*x+12*(x+1/2)^2+5)^(1/2)+429/128*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))-1/26/(x+1/2)*(-4*x+3*(x+1/2)^2+5/4)^(7/2)+1/52*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(5/2)","A"
225,1,199,130,0.015000," ","int((3*x^2-x+2)^(5/2)*(4*x^2+3*x+1)/(2*x+1)^3,x)","-\frac{118423 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{9216}-\frac{1631 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{256}+\frac{1631 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{5}{2}}}{6760}+\frac{1631 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{1248}+\frac{1631 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}{256}-\frac{\left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{7}{2}}}{104 \left(x +\frac{1}{2}\right)^{2}}-\frac{1745 \left(6 x -1\right) \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{1536}+\frac{19 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{7}{2}}}{338 \left(x +\frac{1}{2}\right)}-\frac{19 \left(6 x -1\right) \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{5}{2}}}{676}-\frac{419 \left(6 x -1\right) \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}{2496}"," ",0,"1631/6760*(-4*x+3*(x+1/2)^2+5/4)^(5/2)+1631/1248*(-4*x+3*(x+1/2)^2+5/4)^(3/2)+1631/256*(-16*x+12*(x+1/2)^2+5)^(1/2)-1/104/(x+1/2)^2*(-4*x+3*(x+1/2)^2+5/4)^(7/2)-1745/1536*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(1/2)+19/338/(x+1/2)*(-4*x+3*(x+1/2)^2+5/4)^(7/2)-19/676*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(5/2)-419/2496*(6*x-1)*(-4*x+3*(x+1/2)^2+5/4)^(3/2)-1631/256*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))-118423/9216*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","A"
226,1,1869,667,0.019000," ","int((h*x+g)^3*(f*x^2+e*x+d)/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, f \,h^{3} x^{4}}{5 c}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, b f \,h^{3} x^{3}}{40 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, e \,h^{3} x^{3}}{4 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, f g \,h^{2} x^{3}}{4 c}-\frac{4 \sqrt{c \,x^{2}+b x +a}\, a f \,h^{3} x^{2}}{15 c^{2}}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, b^{2} f \,h^{3} x^{2}}{80 c^{3}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b e \,h^{3} x^{2}}{24 c^{2}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b f g \,h^{2} x^{2}}{8 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, d \,h^{3} x^{2}}{3 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, e g \,h^{2} x^{2}}{c}+\frac{\sqrt{c \,x^{2}+b x +a}\, f \,g^{2} h \,x^{2}}{c}-\frac{15 a^{2} b f \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 a^{2} e \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{9 a^{2} f g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{35 a \,b^{3} f \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{9}{2}}}-\frac{15 a \,b^{2} e \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}-\frac{45 a \,b^{2} f g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 a b d \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}+\frac{9 a b e g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}+\frac{9 a b f \,g^{2} h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{3 a d g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{3 a e \,g^{2} h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{a f \,g^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{63 b^{5} f \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{11}{2}}}+\frac{35 b^{4} e \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}+\frac{105 b^{4} f g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}-\frac{5 b^{3} d \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}-\frac{15 b^{3} e g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}-\frac{15 b^{3} f \,g^{2} h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{9 b^{2} d g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{9 b^{2} e \,g^{2} h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{3 b^{2} f \,g^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{3 b d \,g^{2} h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{b e \,g^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{d \,g^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}+\frac{161 \sqrt{c \,x^{2}+b x +a}\, a b f \,h^{3} x}{240 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a e \,h^{3} x}{8 c^{2}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, a f g \,h^{2} x}{8 c^{2}}-\frac{21 \sqrt{c \,x^{2}+b x +a}\, b^{3} f \,h^{3} x}{64 c^{4}}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{2} e \,h^{3} x}{96 c^{3}}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{2} f g \,h^{2} x}{32 c^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b d \,h^{3} x}{12 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b e g \,h^{2} x}{4 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b f \,g^{2} h x}{4 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, d g \,h^{2} x}{2 c}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, e \,g^{2} h x}{2 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, f \,g^{3} x}{2 c}+\frac{8 \sqrt{c \,x^{2}+b x +a}\, a^{2} f \,h^{3}}{15 c^{3}}-\frac{49 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} f \,h^{3}}{32 c^{4}}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, a b e \,h^{3}}{48 c^{3}}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, a b f g \,h^{2}}{16 c^{3}}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, a d \,h^{3}}{3 c^{2}}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, a e g \,h^{2}}{c^{2}}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, a f \,g^{2} h}{c^{2}}+\frac{63 \sqrt{c \,x^{2}+b x +a}\, b^{4} f \,h^{3}}{128 c^{5}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{3} e \,h^{3}}{64 c^{4}}-\frac{105 \sqrt{c \,x^{2}+b x +a}\, b^{3} f g \,h^{2}}{64 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} d \,h^{3}}{8 c^{3}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, b^{2} e g \,h^{2}}{8 c^{3}}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, b^{2} f \,g^{2} h}{8 c^{3}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, b d g \,h^{2}}{4 c^{2}}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, b e \,g^{2} h}{4 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b f \,g^{3}}{4 c^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, d \,g^{2} h}{c}+\frac{\sqrt{c \,x^{2}+b x +a}\, e \,g^{3}}{c}"," ",0,"g^3*d*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)+1/c*(c*x^2+b*x+a)^(1/2)*g^3*e-3/4/c^2*b*(c*x^2+b*x+a)^(1/2)*g^3*f+3/8/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^3*f-1/2*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^3*f+161/240*h^3*f/c^3*b*a*x*(c*x^2+b*x+a)^(1/2)-7/8/c^2*b*x^2*(c*x^2+b*x+a)^(1/2)*g*h^2*f+35/32/c^3*b^2*x*(c*x^2+b*x+a)^(1/2)*g*h^2*f-45/16/c^(7/2)*b^2*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*f+55/16/c^3*b*a*(c*x^2+b*x+a)^(1/2)*g*h^2*f-9/8*a/c^2*x*(c*x^2+b*x+a)^(1/2)*g*h^2*f-5/4/c^2*b*x*(c*x^2+b*x+a)^(1/2)*g*h^2*e-5/4/c^2*b*x*(c*x^2+b*x+a)^(1/2)*g^2*h*f+9/4/c^(5/2)*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*e+9/4/c^(5/2)*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^2*h*f+3/4*x^3/c*(c*x^2+b*x+a)^(1/2)*g*h^2*f-7/24/c^2*b*x^2*(c*x^2+b*x+a)^(1/2)*h^3*e-21/64*h^3*f/c^4*b^3*x*(c*x^2+b*x+a)^(1/2)+35/32*h^3*f/c^(9/2)*b^3*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-49/32*h^3*f/c^4*b^2*a*(c*x^2+b*x+a)^(1/2)-15/16*h^3*f/c^(7/2)*b*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-9/40*h^3*f/c^2*b*x^3*(c*x^2+b*x+a)^(1/2)+21/80*h^3*f/c^3*b^2*x^2*(c*x^2+b*x+a)^(1/2)+15/8/c^3*b^2*(c*x^2+b*x+a)^(1/2)*g^2*h*f-15/16/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*e-15/16/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^2*h*f+3/4/c^(5/2)*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^3*d-2*a/c^2*(c*x^2+b*x+a)^(1/2)*g*h^2*e-2*a/c^2*(c*x^2+b*x+a)^(1/2)*g^2*h*f+3/2*x/c*(c*x^2+b*x+a)^(1/2)*g*h^2*d+3/2*x/c*(c*x^2+b*x+a)^(1/2)*g^2*h*e-9/4/c^2*b*(c*x^2+b*x+a)^(1/2)*g*h^2*d-9/4/c^2*b*(c*x^2+b*x+a)^(1/2)*g^2*h*e+9/8/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*d+9/8/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^2*h*e-3/2*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*d-3/2*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^2*h*e-3/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^2*h*d+1/5*h^3*f*x^4/c*(c*x^2+b*x+a)^(1/2)+63/128*h^3*f/c^5*b^4*(c*x^2+b*x+a)^(1/2)-63/256*h^3*f/c^(11/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+35/96/c^3*b^2*x*(c*x^2+b*x+a)^(1/2)*h^3*e+8/15*h^3*f*a^2/c^3*(c*x^2+b*x+a)^(1/2)+1/4*x^3/c*(c*x^2+b*x+a)^(1/2)*h^3*e-35/64/c^4*b^3*(c*x^2+b*x+a)^(1/2)*h^3*e+35/128/c^(9/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^3*e+3/8*a^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^3*e+1/3*x^2/c*(c*x^2+b*x+a)^(1/2)*h^3*d+5/8/c^3*b^2*(c*x^2+b*x+a)^(1/2)*h^3*d-5/16/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^3*d-2/3*a/c^2*(c*x^2+b*x+a)^(1/2)*h^3*d+1/2*x/c*(c*x^2+b*x+a)^(1/2)*g^3*f+3/c*(c*x^2+b*x+a)^(1/2)*g^2*h*d-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^3*e-105/64/c^4*b^3*(c*x^2+b*x+a)^(1/2)*g*h^2*f+105/128/c^(9/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*f-15/16/c^(7/2)*b^2*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^3*e+55/48/c^3*b*a*(c*x^2+b*x+a)^(1/2)*h^3*e-3/8*a/c^2*x*(c*x^2+b*x+a)^(1/2)*h^3*e+9/8*a^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*f+x^2/c*(c*x^2+b*x+a)^(1/2)*g*h^2*e+x^2/c*(c*x^2+b*x+a)^(1/2)*g^2*h*f-5/12/c^2*b*x*(c*x^2+b*x+a)^(1/2)*h^3*d+15/8/c^3*b^2*(c*x^2+b*x+a)^(1/2)*g*h^2*e-4/15*h^3*f*a/c^2*x^2*(c*x^2+b*x+a)^(1/2)","B"
227,1,1069,398,0.013000," ","int((h*x+g)^2*(f*x^2+e*x+d)/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, f \,h^{2} x^{3}}{4 c}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b f \,h^{2} x^{2}}{24 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, e \,h^{2} x^{2}}{3 c}+\frac{2 \sqrt{c \,x^{2}+b x +a}\, f g h \,x^{2}}{3 c}+\frac{3 a^{2} f \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{15 a \,b^{2} f \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 a b e \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}+\frac{3 a b f g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}-\frac{a d \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{a e g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{a f \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{35 b^{4} f \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}-\frac{5 b^{3} e \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}-\frac{5 b^{3} f g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{7}{2}}}+\frac{3 b^{2} d \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{3 b^{2} e g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}+\frac{3 b^{2} f \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{b d g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{b e \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{d \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a f \,h^{2} x}{8 c^{2}}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{2} f \,h^{2} x}{96 c^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b e \,h^{2} x}{12 c^{2}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b f g h x}{6 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, d \,h^{2} x}{2 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, e g h x}{c}+\frac{\sqrt{c \,x^{2}+b x +a}\, f \,g^{2} x}{2 c}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, a b f \,h^{2}}{48 c^{3}}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, a e \,h^{2}}{3 c^{2}}-\frac{4 \sqrt{c \,x^{2}+b x +a}\, a f g h}{3 c^{2}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{3} f \,h^{2}}{64 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} e \,h^{2}}{8 c^{3}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} f g h}{4 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b d \,h^{2}}{4 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b e g h}{2 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b f \,g^{2}}{4 c^{2}}+\frac{2 \sqrt{c \,x^{2}+b x +a}\, d g h}{c}+\frac{\sqrt{c \,x^{2}+b x +a}\, e \,g^{2}}{c}"," ",0,"1/c*(c*x^2+b*x+a)^(1/2)*g^2*e+g^2*d*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-5/6/c^2*b*x*(c*x^2+b*x+a)^(1/2)*g*h*f+3/2/c^(5/2)*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h*f+5/4/c^3*b^2*(c*x^2+b*x+a)^(1/2)*g*h*f-4/3*a/c^2*(c*x^2+b*x+a)^(1/2)*g*h*f+x/c*(c*x^2+b*x+a)^(1/2)*e*g*h+3/4/c^(5/2)*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^2*e+2/3*x^2/c*(c*x^2+b*x+a)^(1/2)*g*h*f-5/12/c^2*b*x*(c*x^2+b*x+a)^(1/2)*h^2*e+2/c*(c*x^2+b*x+a)^(1/2)*g*h*d-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^2*e+3/8/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h^2+1/3*x^2/c*(c*x^2+b*x+a)^(1/2)*h^2*e-5/8/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h*f+35/96*h^2*f/c^3*b^2*x*(c*x^2+b*x+a)^(1/2)-15/16*h^2*f/c^(7/2)*b^2*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+55/48*h^2*f/c^3*b*a*(c*x^2+b*x+a)^(1/2)-3/8*h^2*f*a/c^2*x*(c*x^2+b*x+a)^(1/2)-7/24*h^2*f/c^2*b*x^2*(c*x^2+b*x+a)^(1/2)-3/2/c^2*b*(c*x^2+b*x+a)^(1/2)*e*g*h+3/4/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g*h-a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g*h-b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h*d-2/3*a/c^2*(c*x^2+b*x+a)^(1/2)*h^2*e+1/2*x/c*(c*x^2+b*x+a)^(1/2)*d*h^2+1/4*h^2*f*x^3/c*(c*x^2+b*x+a)^(1/2)-35/64*h^2*f/c^4*b^3*(c*x^2+b*x+a)^(1/2)+35/128*h^2*f/c^(9/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/8*h^2*f*a^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/2*x/c*(c*x^2+b*x+a)^(1/2)*f*g^2-3/4/c^2*b*(c*x^2+b*x+a)^(1/2)*d*h^2-1/2*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h^2-1/2*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^2-3/4/c^2*b*(c*x^2+b*x+a)^(1/2)*f*g^2+3/8/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^2+5/8/c^3*b^2*(c*x^2+b*x+a)^(1/2)*h^2*e-5/16/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^2*e","B"
228,1,505,205,0.008000," ","int((h*x+g)*(f*x^2+e*x+d)/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, f h \,x^{2}}{3 c}+\frac{3 a b f h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{a e h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{a f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{5 b^{3} f h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 b^{2} e h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{3 b^{2} f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{b d h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{b e g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{d g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b f h x}{12 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, e h x}{2 c}+\frac{\sqrt{c \,x^{2}+b x +a}\, f g x}{2 c}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, a f h}{3 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} f h}{8 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b e h}{4 c^{2}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b f g}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, d h}{c}+\frac{\sqrt{c \,x^{2}+b x +a}\, e g}{c}"," ",0,"1/3*h*f*x^2/c*(c*x^2+b*x+a)^(1/2)-5/12*h*f/c^2*b*x*(c*x^2+b*x+a)^(1/2)+5/8*h*f/c^3*b^2*(c*x^2+b*x+a)^(1/2)-5/16*h*f/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/4*h*f/c^(5/2)*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/3*h*f*a/c^2*(c*x^2+b*x+a)^(1/2)+1/2*x/c*(c*x^2+b*x+a)^(1/2)*e*h+1/2*x/c*(c*x^2+b*x+a)^(1/2)*f*g-3/4/c^2*b*(c*x^2+b*x+a)^(1/2)*e*h-3/4/c^2*b*(c*x^2+b*x+a)^(1/2)*f*g+3/8/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h+3/8/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g-1/2*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h-1/2*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g+1/c*(c*x^2+b*x+a)^(1/2)*d*h+1/c*(c*x^2+b*x+a)^(1/2)*e*g-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h-1/2*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g+d*g*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)","B"
229,1,185,98,0.007000," ","int((f*x^2+e*x+d)/(c*x^2+b*x+a)^(1/2),x)","-\frac{a f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{3 b^{2} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{b e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}+\frac{\sqrt{c \,x^{2}+b x +a}\, f x}{2 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b f}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, e}{c}"," ",0,"1/2*f*x*(c*x^2+b*x+a)^(1/2)/c-3/4*f/c^2*b*(c*x^2+b*x+a)^(1/2)+3/8*f/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/2*f*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+e/c*(c*x^2+b*x+a)^(1/2)-1/2*e*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+d*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)","A"
230,1,599,159,0.015000," ","int((f*x^2+e*x+d)/(h*x+g)/(c*x^2+b*x+a)^(1/2),x)","-\frac{d \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h}+\frac{e g \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{f \,g^{2} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{3}}-\frac{b f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}} h}+\frac{e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}\, h}-\frac{f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}\, h^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, f}{c h}"," ",0,"f*(c*x^2+b*x+a)^(1/2)/c/h-1/2/h*f*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/h*e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-1/h^2*f*g*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-1/h/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*d+1/h^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*e*g-1/h^3/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*f*g^2","B"
231,1,1671,221,0.015000," ","int((f*x^2+e*x+d)/(h*x+g)^2/(c*x^2+b*x+a)^(1/2),x)","\frac{b d \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}-\frac{b e g \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h}+\frac{b f \,g^{2} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{2 \left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{c d g \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h}+\frac{c e \,g^{2} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{c f \,g^{3} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{3}}-\frac{\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, d}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(x +\frac{g}{h}\right)}+\frac{\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, e g}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(x +\frac{g}{h}\right) h}-\frac{\sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, f \,g^{2}}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(x +\frac{g}{h}\right) h^{2}}-\frac{e \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{2}}+\frac{2 f g \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{3}}+\frac{f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}\, h^{2}}"," ",0,"f/h^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-1/(a*h^2-b*g*h+c*g^2)/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*d+1/h/(a*h^2-b*g*h+c*g^2)/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*e*g-1/h^2/(a*h^2-b*g*h+c*g^2)/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*f*g^2+1/2/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*d-1/2/h/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*e*g+1/2/h^2/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*f*g^2-1/h/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g*d+1/h^2/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^2*e-1/h^3/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^3*f-1/h^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*e+2/h^3/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*f*g","B"
232,1,3615,318,0.017000," ","int((f*x^2+e*x+d)/(h*x+g)^3/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"-f/h^3/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))-3/2/h/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*c*g^2*e+3/2/h^2/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*c*g^3*f-3/2/h^2/(a*h^2-b*g*h+c*g^2)^2/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*c*g^3*f-3/8/h/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b^2*f*g^2+3/2/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*c*g*d-3/2/h/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c^2*g^2*d+3/2/h^2/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c^2*g^3*e-3/2/h^3/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c^2*g^4*f-1/2/h/(a*h^2-b*g*h+c*g^2)/(x+g/h)^2*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*d-1/h/(a*h^2-b*g*h+c*g^2)/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*e+2/h^2/(a*h^2-b*g*h+c*g^2)/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*f*g+1/2/h/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*e+1/2/h^2/(a*h^2-b*g*h+c*g^2)/(x+g/h)^2*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*e*g-1/2/h^3/(a*h^2-b*g*h+c*g^2)/(x+g/h)^2*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*f*g^2+3/4*h/(a*h^2-b*g*h+c*g^2)^2/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*d-3/4/(a*h^2-b*g*h+c*g^2)^2/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*e*g-3/2/(a*h^2-b*g*h+c*g^2)^2/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*c*g*d-3/8*h/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b^2*d+3/8/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b^2*e*g+1/2/h*c/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*d-1/h^2/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*f*g-3/2/h^2/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g*e+5/2/h^3/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^2*f+3/4/h/(a*h^2-b*g*h+c*g^2)^2/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*f*g^2+3/2/h/(a*h^2-b*g*h+c*g^2)^2/(x+g/h)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*c*g^2*e","B"
233,1,2780,484,0.020000," ","int((h*x+g)^3*(f*x^2+e*x+d)/(c*x^2+b*x+a)^(3/2),x)","\frac{f \,h^{3} x^{4}}{3 \sqrt{c \,x^{2}+b x +a}\, c}-\frac{16 a^{2} b f \,h^{3} x}{3 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{115 a \,b^{3} f \,h^{3} x}{12 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{13 a \,b^{2} e \,h^{3} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{39 a \,b^{2} f g \,h^{2} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{4 a b d \,h^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{12 a b e g \,h^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{12 a b f \,g^{2} h x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{35 b^{5} f \,h^{3} x}{16 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}+\frac{15 b^{4} e \,h^{3} x}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{45 b^{4} f g \,h^{2} x}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{3 b^{3} d \,h^{3} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{9 b^{3} e g \,h^{2} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{9 b^{3} f \,g^{2} h x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{3 b^{2} d g \,h^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{3 b^{2} e \,g^{2} h x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{b^{2} f \,g^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{7 b f \,h^{3} x^{3}}{12 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{6 b d \,g^{2} h x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{2 b e \,g^{3} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{e \,h^{3} x^{3}}{2 \sqrt{c \,x^{2}+b x +a}\, c}+\frac{3 f g \,h^{2} x^{3}}{2 \sqrt{c \,x^{2}+b x +a}\, c}-\frac{8 a^{2} b^{2} f \,h^{3}}{3 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{115 a \,b^{4} f \,h^{3}}{24 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{13 a \,b^{3} e \,h^{3}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{39 a \,b^{3} f g \,h^{2}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{2 a \,b^{2} d \,h^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{6 a \,b^{2} e g \,h^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{6 a \,b^{2} f \,g^{2} h}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{4 a f \,h^{3} x^{2}}{3 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{35 b^{6} f \,h^{3}}{32 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{5}}+\frac{15 b^{5} e \,h^{3}}{16 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}+\frac{45 b^{5} f g \,h^{2}}{16 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{3 b^{4} d \,h^{3}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{9 b^{4} e g \,h^{2}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{9 b^{4} f \,g^{2} h}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{3 b^{3} d g \,h^{2}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{3 b^{3} e \,g^{2} h}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b^{3} f \,g^{3}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 b^{2} d \,g^{2} h}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{b^{2} e \,g^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{35 b^{2} f \,h^{3} x^{2}}{24 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{5 b e \,h^{3} x^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{15 b f g \,h^{2} x^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{d \,h^{3} x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{3 e g \,h^{2} x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{3 f \,g^{2} h \,x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{15 a b f \,h^{3} x}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{3 a e \,h^{3} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{9 a f g \,h^{2} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{35 b^{3} f \,h^{3} x}{16 \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{15 b^{2} e \,h^{3} x}{8 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{45 b^{2} f g \,h^{2} x}{8 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{3 b d \,h^{3} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{9 b e g \,h^{2} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{9 b f \,g^{2} h x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 d g \,h^{2} x}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{3 e \,g^{2} h x}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{f \,g^{3} x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 \left(2 c x +b \right) d \,g^{3}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{15 a b f \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{7}{2}}}-\frac{3 a e \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}-\frac{9 a f g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}-\frac{35 b^{3} f \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{9}{2}}}+\frac{15 b^{2} e \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{7}{2}}}+\frac{45 b^{2} f g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{7}{2}}}-\frac{3 b d \,h^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}-\frac{9 b e g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}-\frac{9 b f \,g^{2} h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}+\frac{3 d g \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{3 e \,g^{2} h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{f \,g^{3} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{8 a^{2} f \,h^{3}}{3 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{115 a \,b^{2} f \,h^{3}}{24 \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{13 a b e \,h^{3}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{39 a b f g \,h^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{2 a d \,h^{3}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{6 a e g \,h^{2}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{6 a f \,g^{2} h}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{35 b^{4} f \,h^{3}}{32 \sqrt{c \,x^{2}+b x +a}\, c^{5}}+\frac{15 b^{3} e \,h^{3}}{16 \sqrt{c \,x^{2}+b x +a}\, c^{4}}+\frac{45 b^{3} f g \,h^{2}}{16 \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{3 b^{2} d \,h^{3}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{9 b^{2} e g \,h^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{9 b^{2} f \,g^{2} h}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{3 b d g \,h^{2}}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{3 b e \,g^{2} h}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b f \,g^{3}}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 d \,g^{2} h}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{e \,g^{3}}{\sqrt{c \,x^{2}+b x +a}\, c}"," ",0,"1/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^3*f-1/c/(c*x^2+b*x+a)^(1/2)*g^3*e-3/4/c^3*b^2/(c*x^2+b*x+a)^(1/2)*h^3*d-3/2/c^(5/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^3*d+2*a/c^2/(c*x^2+b*x+a)^(1/2)*h^3*d-35/32*h^3*f/c^5*b^4/(c*x^2+b*x+a)^(1/2)-35/16*h^3*f/c^(9/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-8/3*h^3*f*a^2/c^3/(c*x^2+b*x+a)^(1/2)+1/2*x^3/c/(c*x^2+b*x+a)^(1/2)*h^3*e+15/16/c^4*b^3/(c*x^2+b*x+a)^(1/2)*h^3*e+15/8/c^(7/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^3*e-3/2*a/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^3*e+1/3*h^3*f*x^4/c/(c*x^2+b*x+a)^(1/2)+2*g^3*d*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*d+3/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^2*h*e-3/c/(c*x^2+b*x+a)^(1/2)*g^2*h*d+x^2/c/(c*x^2+b*x+a)^(1/2)*h^3*d+45/16/c^4*b^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g*h^2*f-39/4/c^3*b*a/(c*x^2+b*x+a)^(1/2)*g*h^2*f-13/4/c^3*b^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*h^3*e-9/4/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g*h^2*e-9/4/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g^2*h*f+2*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*h^3*d+9/2/c^2*b*x/(c*x^2+b*x+a)^(1/2)*g*h^2*e+12*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g^2*h*f+3/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g*h^2*d+1/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g^3*f-3/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*h^3*d-3*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g^2*h*d+115/24*h^3*f/c^4*b^4*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-15/4*h^3*f/c^3*b*a*x/(c*x^2+b*x+a)^(1/2)-8/3*h^3*f*a^2/c^3*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-35/16*h^3*f/c^4*b^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+9/2/c^2*b*x/(c*x^2+b*x+a)^(1/2)*g^2*h*f-15/4/c^2*b*x^2/(c*x^2+b*x+a)^(1/2)*g*h^2*f-45/8/c^3*b^2*x/(c*x^2+b*x+a)^(1/2)*g*h^2*f+15/8/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*h^3*e-9/4/c^3*b^2/(c*x^2+b*x+a)^(1/2)*g*h^2*e-9/4/c^3*b^2/(c*x^2+b*x+a)^(1/2)*g^2*h*f-3/4/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*h^3*d-9/2/c^(5/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*e+3/2*x^3/c/(c*x^2+b*x+a)^(1/2)*g*h^2*f-5/4/c^2*b*x^2/(c*x^2+b*x+a)^(1/2)*h^3*e-15/8/c^3*b^2*x/(c*x^2+b*x+a)^(1/2)*h^3*e+45/16/c^4*b^3/(c*x^2+b*x+a)^(1/2)*g*h^2*f+15/16/c^4*b^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*h^3*e+45/8/c^(7/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*f-13/4/c^3*b*a/(c*x^2+b*x+a)^(1/2)*h^3*e+3/2*a/c^2*x/(c*x^2+b*x+a)^(1/2)*h^3*e-9/2*a/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h^2*f-9/2/c^(5/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g^2*h*f+6*a/c^2/(c*x^2+b*x+a)^(1/2)*g*h^2*e+6*a/c^2/(c*x^2+b*x+a)^(1/2)*g^2*h*f+3*x^2/c/(c*x^2+b*x+a)^(1/2)*g*h^2*e+9/2*a/c^2*x/(c*x^2+b*x+a)^(1/2)*g*h^2*f+3/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g^2*h*e-6*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g^2*h*d+45/8/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g*h^2*f-13/2/c^2*b^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*h^3*e-39/4/c^3*b^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g*h^2*f+115/12*h^3*f/c^3*b^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-16/3*h^3*f*a^2/c^2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+6*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g*h^2*e+6*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g^2*h*f+4*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*h^3*d+3/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g*h^2*d+3/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g^2*h*e-9/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g*h^2*e-9/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g^2*h*f+3*x^2/c/(c*x^2+b*x+a)^(1/2)*g^2*h*f+3/2/c^2*b*x/(c*x^2+b*x+a)^(1/2)*h^3*d-3*x/c/(c*x^2+b*x+a)^(1/2)*g*h^2*d-3*x/c/(c*x^2+b*x+a)^(1/2)*g^2*h*e+3/2/c^2*b/(c*x^2+b*x+a)^(1/2)*g*h^2*d+3/2/c^2*b/(c*x^2+b*x+a)^(1/2)*g^2*h*e+1/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g^3*f-2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g^3*e-b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g^3*e-7/12*h^3*f/c^2*b*x^3/(c*x^2+b*x+a)^(1/2)+35/24*h^3*f/c^3*b^2*x^2/(c*x^2+b*x+a)^(1/2)+35/16*h^3*f/c^4*b^3*x/(c*x^2+b*x+a)^(1/2)-35/32*h^3*f/c^5*b^6/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+115/24*h^3*f/c^4*b^2*a/(c*x^2+b*x+a)^(1/2)+15/4*h^3*f/c^(7/2)*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-4/3*h^3*f*a/c^2*x^2/(c*x^2+b*x+a)^(1/2)+12*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g*h^2*e-39/2/c^2*b^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g*h^2*f-x/c/(c*x^2+b*x+a)^(1/2)*g^3*f+1/2/c^2*b/(c*x^2+b*x+a)^(1/2)*g^3*f","B"
234,1,1557,273,0.013000," ","int((h*x+g)^2*(f*x^2+e*x+d)/(c*x^2+b*x+a)^(3/2),x)","-\frac{13 a \,b^{2} f \,h^{2} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{4 a b e \,h^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{8 a b f g h x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{15 b^{4} f \,h^{2} x}{8 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{3 b^{3} e \,h^{2} x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 b^{3} f g h x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b^{2} d \,h^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 b^{2} e g h x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{b^{2} f \,g^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{4 b d g h x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{2 b e \,g^{2} x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{f \,h^{2} x^{3}}{2 \sqrt{c \,x^{2}+b x +a}\, c}-\frac{13 a \,b^{3} f \,h^{2}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{2 a \,b^{2} e \,h^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{4 a \,b^{2} f g h}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{15 b^{5} f \,h^{2}}{16 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{3 b^{4} e \,h^{2}}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{3 b^{4} f g h}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{b^{3} d \,h^{2}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b^{3} e g h}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b^{3} f \,g^{2}}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 b^{2} d g h}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{b^{2} e \,g^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{5 b f \,h^{2} x^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{e \,h^{2} x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 f g h \,x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{3 a f \,h^{2} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{15 b^{2} f \,h^{2} x}{8 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{3 b e \,h^{2} x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{3 b f g h x}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{d \,h^{2} x}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{2 e g h x}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{f \,g^{2} x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 \left(2 c x +b \right) d \,g^{2}}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{3 a f \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}+\frac{15 b^{2} f \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{7}{2}}}-\frac{3 b e \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}-\frac{3 b f g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{5}{2}}}+\frac{d \,h^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{2 e g h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{f \,g^{2} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}-\frac{13 a b f \,h^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{2 a e \,h^{2}}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{4 a f g h}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{15 b^{3} f \,h^{2}}{16 \sqrt{c \,x^{2}+b x +a}\, c^{4}}-\frac{3 b^{2} e \,h^{2}}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}-\frac{3 b^{2} f g h}{2 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{b d \,h^{2}}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b e g h}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b f \,g^{2}}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{2 d g h}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{e \,g^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}"," ",0,"-13/2*h^2*f/c^2*b^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+1/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*d*h^2+1/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g^2-1/c/(c*x^2+b*x+a)^(1/2)*g^2*e+4*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*h^2*e+4*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g*h*f+2/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*e*g*h-3/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g*h*f+8*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g*h*f+2*g^2*d*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+15/16*h^2*f/c^4*b^3/(c*x^2+b*x+a)^(1/2)+1/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*f*g^2-5/4*h^2*f/c^2*b*x^2/(c*x^2+b*x+a)^(1/2)-15/8*h^2*f/c^3*b^2*x/(c*x^2+b*x+a)^(1/2)+15/16*h^2*f/c^4*b^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-13/4*h^2*f/c^3*b*a/(c*x^2+b*x+a)^(1/2)+3/2*h^2*f*a/c^2*x/(c*x^2+b*x+a)^(1/2)+2*x^2/c/(c*x^2+b*x+a)^(1/2)*g*h*f+3/2/c^2*b*x/(c*x^2+b*x+a)^(1/2)*h^2*e-3/2/c^3*b^2/(c*x^2+b*x+a)^(1/2)*g*h*f-3/4/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*h^2*e-3/c^(5/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*g*h*f+4*a/c^2/(c*x^2+b*x+a)^(1/2)*g*h*f-2*x/c/(c*x^2+b*x+a)^(1/2)*e*g*h+1/c^2*b/(c*x^2+b*x+a)^(1/2)*e*g*h+1/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d*h^2+1/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*f*g^2-2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g^2*e-b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g^2*e+1/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*e*g*h-3/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*h^2*e-3/2/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g*h*f+2*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*h^2*e+1/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*d*h^2+3/c^2*b*x/(c*x^2+b*x+a)^(1/2)*g*h*f-4*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*g*h*d-2*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*g*h*d+15/8*h^2*f/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-13/4*h^2*f/c^3*b^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+15/8*h^2*f/c^(7/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-3/2*h^2*f*a/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-x/c/(c*x^2+b*x+a)^(1/2)*d*h^2-x/c/(c*x^2+b*x+a)^(1/2)*f*g^2+1/2/c^2*b/(c*x^2+b*x+a)^(1/2)*d*h^2+1/2/c^2*b/(c*x^2+b*x+a)^(1/2)*f*g^2+2/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*g*h-2/c/(c*x^2+b*x+a)^(1/2)*g*h*d+1/2*h^2*f*x^3/c/(c*x^2+b*x+a)^(1/2)+x^2/c/(c*x^2+b*x+a)^(1/2)*h^2*e-3/4/c^3*b^2/(c*x^2+b*x+a)^(1/2)*h^2*e-3/2/c^(5/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*h^2*e+2*a/c^2/(c*x^2+b*x+a)^(1/2)*h^2*e","B"
235,1,735,173,0.009000," ","int((h*x+g)*(f*x^2+e*x+d)/(c*x^2+b*x+a)^(3/2),x)","\frac{4 a b f h x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{3 b^{3} f h x}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b^{2} e h x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{b^{2} f g x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{2 b d h x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{2 b e g x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{2 a \,b^{2} f h}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 b^{4} f h}{4 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{b^{3} e h}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b^{3} f g}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{b^{2} d h}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{b^{2} e g}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}+\frac{f h \,x^{2}}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{3 b f h x}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{e h x}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{f g x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 \left(2 c x +b \right) d g}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}-\frac{3 b f h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{5}{2}}}+\frac{e h \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{f g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{2 a f h}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{3 b^{2} f h}{4 \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{b e h}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b f g}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{d h}{\sqrt{c \,x^{2}+b x +a}\, c}-\frac{e g}{\sqrt{c \,x^{2}+b x +a}\, c}"," ",0,"1/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*f*g-1/c/(c*x^2+b*x+a)^(1/2)*d*h-1/c/(c*x^2+b*x+a)^(1/2)*e*g+1/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))*e*h-3/2*f*h/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+2*f*h*a/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+4*f*h*a/c*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+1/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*e*h+1/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*f*g-x/c/(c*x^2+b*x+a)^(1/2)*e*h+2*f*h*a/c^2/(c*x^2+b*x+a)^(1/2)-3/2*f*h/c^(5/2)*b*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+f*h*x^2/c/(c*x^2+b*x+a)^(1/2)-3/4*f*h/c^3*b^2/(c*x^2+b*x+a)^(1/2)+2*d*g*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+1/2/c^2*b/(c*x^2+b*x+a)^(1/2)*f*g-2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*e*g-2*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*d*h+1/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*f*g+1/2/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*e*h+3/2*f*h/c^2*b*x/(c*x^2+b*x+a)^(1/2)-3/4*f*h/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*d*h-b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*e*g-x/c/(c*x^2+b*x+a)^(1/2)*f*g+1/2/c^2*b/(c*x^2+b*x+a)^(1/2)*e*h","B"
236,1,249,101,0.006000," ","int((f*x^2+e*x+d)/(c*x^2+b*x+a)^(3/2),x)","\frac{b^{2} f x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{2 b e x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{b^{3} f}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{b^{2} e}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c}-\frac{f x}{\sqrt{c \,x^{2}+b x +a}\, c}+\frac{2 \left(2 c x +b \right) d}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}}+\frac{f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{3}{2}}}+\frac{b f}{2 \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{e}{\sqrt{c \,x^{2}+b x +a}\, c}"," ",0,"-f*x/c/(c*x^2+b*x+a)^(1/2)+1/2*f/c^2*b/(c*x^2+b*x+a)^(1/2)+f/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x+1/2*f/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+f/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-e/c/(c*x^2+b*x+a)^(1/2)-2*e*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-e*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+2*d*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)","B"
237,1,2079,215,0.014000," ","int((f*x^2+e*x+d)/(h*x+g)/(c*x^2+b*x+a)^(3/2),x)","-\frac{4 c^{2} e \,g^{2} x}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h}+\frac{4 c^{2} f \,g^{3} x}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{2 b c d h x}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}+\frac{2 b c e g x}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}-\frac{2 b c e \,g^{2}}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h}+\frac{2 b c f \,g^{3}}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h^{2}}-\frac{f}{\sqrt{c \,x^{2}+b x +a}\, c h}+\frac{d h}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}-\frac{e g}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}-\frac{b^{2} d h}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}+\frac{b^{2} e g}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}-\frac{2 b f x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, h}-\frac{b^{2} f}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c h}+\frac{4 c e x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, h}-\frac{2 b f g}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, h^{2}}-\frac{2 b c f \,g^{2} x}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h}+\frac{2 b e}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, h}+\frac{f \,g^{2}}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h}-\frac{d h \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}+\frac{e g \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}-\frac{f \,g^{2} \ln \left(\frac{\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{2 a \,h^{2}-2 b g h +2 c \,g^{2}}{h^{2}}+2 \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}{x +\frac{g}{h}}\right)}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \sqrt{\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h}+\frac{2 b c d g}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}-\frac{4 c f g x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, h^{2}}+\frac{4 c^{2} d g x}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}}-\frac{b^{2} f \,g^{2}}{\left(a \,h^{2}-b g h +c \,g^{2}\right) \left(4 a c -b^{2}\right) \sqrt{\left(x +\frac{g}{h}\right)^{2} c +\frac{\left(h b -2 c g \right) \left(x +\frac{g}{h}\right)}{h}+\frac{a \,h^{2}-b g h +c \,g^{2}}{h^{2}}}\, h}"," ",0,"-4/h/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*c^2*g^2*e+4/h^2/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*c^2*g^3*f-2*h/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b*c*d+2/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b*c*e*g-2/h/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*c*g^2*e+2/h^2/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*c*g^3*f-1/h*f/c/(c*x^2+b*x+a)^(1/2)+h/(a*h^2-b*g*h+c*g^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*d-1/(a*h^2-b*g*h+c*g^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*e*g-h/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^2*d+1/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^2*e*g-1/h/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*f*g^2-2/h*f*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-1/h*f*b^2/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)+4/h*e/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*c-2/h^2*f*g/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*b-2/h/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b*c*f*g^2+2/h*e/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*b+1/h/(a*h^2-b*g*h+c*g^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*f*g^2-h/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*d+1/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*e*g+2/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*c*g*d-4/h^2*f*g/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x*c+4/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*c^2*g*d-1/h/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^2*f*g^2","B"
238,1,4930,407,0.019000," ","int((f*x^2+e*x+d)/(h*x+g)^2/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"-1/(a*h^2-b*g*h+c*g^2)/(x+g/h)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*d-1/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*e+3/2/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*f*g^2+3*h/(a*h^2-b*g*h+c*g^2)^2/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*c*g*d+3/h/(a*h^2-b*g*h+c*g^2)^2/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*c*g^3*f+3/2*h^2/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^3*d+3/2*h^2/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*d+1/h/(a*h^2-b*g*h+c*g^2)/(x+g/h)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*e*g-2/h/(a*h^2-b*g*h+c*g^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*f*g-1/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^2*e+2/h/(a*h^2-b*g*h+c*g^2)/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*f*g-1/h^2/(a*h^2-b*g*h+c*g^2)/(x+g/h)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*f*g^2+3/2*h/(a*h^2-b*g*h+c*g^2)^2/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*e*g+3/2/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^3*f*g^2+1/(a*h^2-b*g*h+c*g^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*e-12/h/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b*c^2*g^3*f-3*h/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b^2*c*e*g+4/h/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b*c*f*g-12*h/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b*c^2*g*d-3/2/(a*h^2-b*g*h+c*g^2)^2/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*f*g^2-3/(a*h^2-b*g*h+c*g^2)^2/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*c*g^2*e+3/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^2*e-8*c^2/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*d-4*c/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*d+2*f/h^2*(2*c*x+b)/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-3/2*h^2/(a*h^2-b*g*h+c*g^2)^2/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*d+12/h^2/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*c^3*g^4*f-6*h/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^2*c*g*d+6/h^2/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*c^2*g^4*f-6/h/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^2*c*g^3*f-16/h^2*c^2/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*f*g^2+6/h*c/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*e*g-8/h^2*c/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*f*g^2+12/h*c^2/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*e*g-6/h/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*c^2*g^3*e+3*h^2/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b^2*c*d+12/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b*c^2*g^2*e+3/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b^2*c*f*g^2-3/2*h/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^3*e*g-3/2*h/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*b*e*g+12/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*c^3*g^2*d+6/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b*c^2*g^2*d+6/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^2*c*g^2*e-3*h/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g*d-3/h/(a*h^2-b*g*h+c*g^2)^2/((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*ln(((b*h-2*c*g)*(x+g/h)/h+2*(a*h^2-b*g*h+c*g^2)/h^2+2*((a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2))/(x+g/h))*c*g^3*f-2/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*b*c*e+2/h/(a*h^2-b*g*h+c*g^2)/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*b^2*f*g-12/h/(a*h^2-b*g*h+c*g^2)^2/(4*a*c-b^2)/((x+g/h)^2*c+(b*h-2*c*g)*(x+g/h)/h+(a*h^2-b*g*h+c*g^2)/h^2)^(1/2)*x*c^3*g^3*e","B"
239,1,9126,693,0.024000," ","int((f*x^2+e*x+d)/(h*x+g)^3/(c*x^2+b*x+a)^(3/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
240,1,96,99,0.015000," ","int((2*x+1)^3*(4*x^2+3*x+1)/(3*x^2-x+2)^(1/2),x)","\frac{32 \sqrt{3 x^{2}-x +2}\, x^{4}}{15}+\frac{34 \sqrt{3 x^{2}-x +2}\, x^{3}}{5}+\frac{1121 \sqrt{3 x^{2}-x +2}\, x^{2}}{135}+\frac{3769 \sqrt{3 x^{2}-x +2}\, x}{1620}-\frac{9211 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{3888}-\frac{829 \sqrt{3 x^{2}-x +2}}{120}"," ",0,"32/15*x^4*(3*x^2-x+2)^(1/2)+34/5*x^3*(3*x^2-x+2)^(1/2)+1121/135*x^2*(3*x^2-x+2)^(1/2)+3769/1620*x*(3*x^2-x+2)^(1/2)-829/120*(3*x^2-x+2)^(1/2)-9211/3888*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","A"
241,1,79,78,0.008000," ","int((2*x+1)^2*(4*x^2+3*x+1)/(3*x^2-x+2)^(1/2),x)","\frac{4 \sqrt{3 x^{2}-x +2}\, x^{3}}{3}+\frac{98 \sqrt{3 x^{2}-x +2}\, x^{2}}{27}+\frac{569 \sqrt{3 x^{2}-x +2}\, x}{162}-\frac{4147 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{1944}-\frac{3 \sqrt{3 x^{2}-x +2}}{4}"," ",0,"4/3*(3*x^2-x+2)^(1/2)*x^3+98/27*(3*x^2-x+2)^(1/2)*x^2+569/162*(3*x^2-x+2)^(1/2)*x-3/4*(3*x^2-x+2)^(1/2)-4147/1944*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","A"
242,1,62,57,0.007000," ","int((2*x+1)*(4*x^2+3*x+1)/(3*x^2-x+2)^(1/2),x)","\frac{8 \sqrt{3 x^{2}-x +2}\, x^{2}}{9}+\frac{55 \sqrt{3 x^{2}-x +2}\, x}{27}-\frac{251 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{324}+\frac{3 \sqrt{3 x^{2}-x +2}}{2}"," ",0,"8/9*(3*x^2-x+2)^(1/2)*x^2+55/27*(3*x^2-x+2)^(1/2)*x+3/2*(3*x^2-x+2)^(1/2)-251/324*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","A"
243,1,60,59,0.009000," ","int((4*x^2+3*x+1)/(2*x+1)/(3*x^2-x+2)^(1/2),x)","\frac{5 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{18}-\frac{\sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{26}+\frac{2 \sqrt{3 x^{2}-x +2}}{3}"," ",0,"2/3*(3*x^2-x+2)^(1/2)+5/18*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))-1/26*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))","A"
244,1,67,66,0.012000," ","int((4*x^2+3*x+1)/(2*x+1)^2/(3*x^2-x+2)^(1/2),x)","\frac{\sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{3}+\frac{9 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{338}-\frac{\sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{26 \left(x +\frac{1}{2}\right)}"," ",0,"1/3*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))+9/338*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))-1/26/(x+1/2)*(-4*x+3*(x+1/2)^2+5/4)^(1/2)","A"
245,1,74,71,0.035000," ","int((4*x^2+3*x+1)/(2*x+1)^3/(3*x^2-x+2)^(1/2),x)","-\frac{581 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{8788}+\frac{7 \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{338 \left(x +\frac{1}{2}\right)}-\frac{\sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}{104 \left(x +\frac{1}{2}\right)^{2}}"," ",0,"-581/8788*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))+7/338/(x+1/2)*(-4*x+3*(x+1/2)^2+5/4)^(1/2)-1/104/(x+1/2)^2*(-4*x+3*(x+1/2)^2+5/4)^(1/2)","A"
246,1,115,82,0.014000," ","int((2*x+1)^3*(4*x^2+3*x+1)/(3*x^2-x+2)^(3/2),x)","\frac{32 x^{4}}{9 \sqrt{3 x^{2}-x +2}}+\frac{380 x^{3}}{27 \sqrt{3 x^{2}-x +2}}+\frac{2018 x^{2}}{81 \sqrt{3 x^{2}-x +2}}+\frac{353 x}{81 \sqrt{3 x^{2}-x +2}}-\frac{353 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{243}-\frac{521 \left(6 x -1\right)}{414 \sqrt{3 x^{2}-x +2}}+\frac{557}{18 \sqrt{3 x^{2}-x +2}}"," ",0,"32/9*x^4/(3*x^2-x+2)^(1/2)+380/27*x^3/(3*x^2-x+2)^(1/2)+2018/81*x^2/(3*x^2-x+2)^(1/2)+353/81*x/(3*x^2-x+2)^(1/2)-521/414*(6*x-1)/(3*x^2-x+2)^(1/2)-353/243*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))+557/18/(3*x^2-x+2)^(1/2)","A"
247,1,98,65,0.009000," ","int((2*x+1)^2*(4*x^2+3*x+1)/(3*x^2-x+2)^(3/2),x)","\frac{8 x^{3}}{3 \sqrt{3 x^{2}-x +2}}+\frac{104 x^{2}}{9 \sqrt{3 x^{2}-x +2}}-\frac{64 x}{9 \sqrt{3 x^{2}-x +2}}+\frac{64 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{27}+\frac{107}{9 \sqrt{3 x^{2}-x +2}}-\frac{89 \left(6 x -1\right)}{207 \sqrt{3 x^{2}-x +2}}"," ",0,"8/3/(3*x^2-x+2)^(1/2)*x^3+104/9/(3*x^2-x+2)^(1/2)*x^2-64/9/(3*x^2-x+2)^(1/2)*x+107/9/(3*x^2-x+2)^(1/2)-89/207*(6*x-1)/(3*x^2-x+2)^(1/2)+64/27*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","A"
248,1,81,50,0.006000," ","int((2*x+1)*(4*x^2+3*x+1)/(3*x^2-x+2)^(3/2),x)","\frac{8 x^{2}}{3 \sqrt{3 x^{2}-x +2}}-\frac{14 x}{3 \sqrt{3 x^{2}-x +2}}+\frac{14 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{9}+\frac{10}{9 \sqrt{3 x^{2}-x +2}}+\frac{\frac{16 x}{69}-\frac{8}{207}}{\sqrt{3 x^{2}-x +2}}"," ",0,"8/3/(3*x^2-x+2)^(1/2)*x^2-14/3/(3*x^2-x+2)^(1/2)*x+10/9/(3*x^2-x+2)^(1/2)+8/207*(6*x-1)/(3*x^2-x+2)^(1/2)+14/9*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","A"
249,1,102,48,0.009000," ","int((4*x^2+3*x+1)/(2*x+1)/(3*x^2-x+2)^(3/2),x)","-\frac{2 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{169}-\frac{2}{3 \sqrt{3 x^{2}-x +2}}+\frac{\frac{10 x}{23}-\frac{5}{69}}{\sqrt{3 x^{2}-x +2}}+\frac{1}{13 \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}+\frac{\frac{24 x}{299}-\frac{4}{299}}{\sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}"," ",0,"-2/3/(3*x^2-x+2)^(1/2)+5/69*(6*x-1)/(3*x^2-x+2)^(1/2)+1/13/(-4*x+3*(x+1/2)^2+5/4)^(1/2)+4/299*(6*x-1)/(-4*x+3*(x+1/2)^2+5/4)^(1/2)-2/169*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))","B"
250,1,109,69,0.012000," ","int((4*x^2+3*x+1)/(2*x+1)^2/(3*x^2-x+2)^(3/2),x)","\frac{2 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{2197}+\frac{\frac{12 x}{23}-\frac{2}{23}}{\sqrt{3 x^{2}-x +2}}-\frac{1}{169 \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{82 \left(6 x -1\right)}{3887 \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{1}{26 \left(x +\frac{1}{2}\right) \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}"," ",0,"2/23*(6*x-1)/(3*x^2-x+2)^(1/2)-1/169/(-4*x+3*(x+1/2)^2+5/4)^(1/2)-82/3887*(6*x-1)/(-4*x+3*(x+1/2)^2+5/4)^(1/2)+2/2197*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))-1/26/(x+1/2)/(-4*x+3*(x+1/2)^2+5/4)^(1/2)","A"
251,1,111,90,0.013000," ","int((4*x^2+3*x+1)/(2*x+1)^3/(3*x^2-x+2)^(3/2),x)","-\frac{487 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{28561}+\frac{487}{4394 \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}+\frac{\frac{7248 x}{50531}-\frac{1208}{50531}}{\sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}+\frac{3}{338 \left(x +\frac{1}{2}\right) \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{1}{104 \left(x +\frac{1}{2}\right)^{2} \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}"," ",0,"487/4394/(-4*x+3*(x+1/2)^2+5/4)^(1/2)+1208/50531*(6*x-1)/(-4*x+3*(x+1/2)^2+5/4)^(1/2)-487/28561*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))+3/338/(x+1/2)/(-4*x+3*(x+1/2)^2+5/4)^(1/2)-1/104/(x+1/2)^2/(-4*x+3*(x+1/2)^2+5/4)^(1/2)","A"
252,1,163,69,0.014000," ","int((2*x+1)^3*(4*x^2+3*x+1)/(3*x^2-x+2)^(5/2),x)","\frac{32 x^{4}}{3 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}-\frac{296 x^{3}}{27 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}+\frac{8 x^{2}}{27 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}-\frac{296 x}{27 \sqrt{3 x^{2}-x +2}}-\frac{461 x}{81 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}+\frac{296 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{81}+\frac{\frac{13763 x}{5589}-\frac{13763}{33534}}{\left(3 x^{2}-x +2\right)^{\frac{3}{2}}}+\frac{\frac{130528 x}{42849}-\frac{65264}{128547}}{\sqrt{3 x^{2}-x +2}}-\frac{148}{81 \sqrt{3 x^{2}-x +2}}-\frac{1727}{1458 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}"," ",0,"13763/33534*(6*x-1)/(3*x^2-x+2)^(3/2)-296/27/(3*x^2-x+2)^(1/2)*x+65264/128547*(6*x-1)/(3*x^2-x+2)^(1/2)+296/81*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))-148/81/(3*x^2-x+2)^(1/2)-1727/1458/(3*x^2-x+2)^(3/2)+32/3*x^4/(3*x^2-x+2)^(3/2)-296/27*x^3/(3*x^2-x+2)^(3/2)+8/27*x^2/(3*x^2-x+2)^(3/2)-461/81*x/(3*x^2-x+2)^(3/2)","B"
253,1,146,55,0.009000," ","int((2*x+1)^2*(4*x^2+3*x+1)/(3*x^2-x+2)^(5/2),x)","-\frac{16 x^{3}}{9 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}-\frac{92 x^{2}}{9 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}-\frac{67 x}{27 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}-\frac{16 x}{9 \sqrt{3 x^{2}-x +2}}+\frac{16 \sqrt{3}\, \arcsinh \left(\frac{6 \sqrt{23}\, \left(x -\frac{1}{6}\right)}{23}\right)}{27}-\frac{2653}{486 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}+\frac{\frac{4585 x}{1863}-\frac{4585}{11178}}{\left(3 x^{2}-x +2\right)^{\frac{3}{2}}}+\frac{\frac{37784 x}{14283}-\frac{18892}{42849}}{\sqrt{3 x^{2}-x +2}}-\frac{8}{27 \sqrt{3 x^{2}-x +2}}"," ",0,"-16/9/(3*x^2-x+2)^(3/2)*x^3-92/9/(3*x^2-x+2)^(3/2)*x^2-67/27/(3*x^2-x+2)^(3/2)*x-2653/486/(3*x^2-x+2)^(3/2)+4585/11178*(6*x-1)/(3*x^2-x+2)^(3/2)+18892/42849*(6*x-1)/(3*x^2-x+2)^(1/2)-16/9/(3*x^2-x+2)^(1/2)*x-8/27/(3*x^2-x+2)^(1/2)+16/27*3^(1/2)*arcsinh(6/23*23^(1/2)*(x-1/6))","B"
254,1,30,39,0.005000," ","int((2*x+1)*(4*x^2+3*x+1)/(3*x^2-x+2)^(5/2),x)","\frac{\frac{5720}{1587} x^{3}-\frac{2364}{529} x^{2}+\frac{1222}{529} x -\frac{3830}{1587}}{\left(3 x^{2}-x +2\right)^{\frac{3}{2}}}"," ",0,"2/1587/(3*x^2-x+2)^(3/2)*(2860*x^3-3546*x^2+1833*x-1915)","A"
255,1,158,67,0.010000," ","int((4*x^2+3*x+1)/(2*x+1)/(3*x^2-x+2)^(5/2),x)","-\frac{8 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{2197}-\frac{2}{9 \left(3 x^{2}-x +2\right)^{\frac{3}{2}}}+\frac{\frac{10 x}{69}-\frac{5}{207}}{\left(3 x^{2}-x +2\right)^{\frac{3}{2}}}+\frac{\frac{80 x}{529}-\frac{40}{1587}}{\sqrt{3 x^{2}-x +2}}+\frac{1}{39 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}+\frac{\frac{8 x}{299}-\frac{4}{897}}{\left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}+\frac{\frac{4704 x}{89401}-\frac{784}{89401}}{\sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}+\frac{4}{169 \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}"," ",0,"-2/9/(3*x^2-x+2)^(3/2)+5/207*(6*x-1)/(3*x^2-x+2)^(3/2)+40/1587*(6*x-1)/(3*x^2-x+2)^(1/2)+1/39/(-4*x+3*(x+1/2)^2+5/4)^(3/2)+4/897*(6*x-1)/(-4*x+3*(x+1/2)^2+5/4)^(3/2)+784/89401*(6*x-1)/(-4*x+3*(x+1/2)^2+5/4)^(1/2)+4/169/(-4*x+3*(x+1/2)^2+5/4)^(1/2)-8/2197*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))","B"
256,1,165,88,0.011000," ","int((4*x^2+3*x+1)/(2*x+1)^2/(3*x^2-x+2)^(5/2),x)","-\frac{56 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{28561}+\frac{\frac{4 x}{23}-\frac{2}{69}}{\left(3 x^{2}-x +2\right)^{\frac{3}{2}}}+\frac{\frac{96 x}{529}-\frac{16}{529}}{\sqrt{3 x^{2}-x +2}}+\frac{7}{507 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}-\frac{128 \left(6 x -1\right)}{11661 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}-\frac{10736 \left(6 x -1\right)}{1162213 \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}+\frac{28}{2197 \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{1}{26 \left(x +\frac{1}{2}\right) \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}"," ",0,"2/69*(6*x-1)/(3*x^2-x+2)^(3/2)+16/529*(6*x-1)/(3*x^2-x+2)^(1/2)+7/507/(-4*x+3*(x+1/2)^2+5/4)^(3/2)-128/11661*(6*x-1)/(-4*x+3*(x+1/2)^2+5/4)^(3/2)-10736/1162213*(6*x-1)/(-4*x+3*(x+1/2)^2+5/4)^(1/2)+28/2197/(-4*x+3*(x+1/2)^2+5/4)^(1/2)-56/28561*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))-1/26/(x+1/2)/(-4*x+3*(x+1/2)^2+5/4)^(3/2)","A"
257,1,148,109,0.013000," ","int((4*x^2+3*x+1)/(2*x+1)^3/(3*x^2-x+2)^(5/2),x)","-\frac{2084 \sqrt{13}\, \arctanh \left(\frac{2 \left(-4 x +\frac{9}{2}\right) \sqrt{13}}{13 \sqrt{-16 x +12 \left(x +\frac{1}{2}\right)^{2}+5}}\right)}{371293}+\frac{521}{13182 \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}+\frac{\frac{1772 x}{50531}-\frac{886}{151593}}{\left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}+\frac{\frac{1128048 x}{15108769}-\frac{188008}{15108769}}{\sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}+\frac{1042}{28561 \sqrt{-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}}}-\frac{1}{338 \left(x +\frac{1}{2}\right) \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}-\frac{1}{104 \left(x +\frac{1}{2}\right)^{2} \left(-4 x +3 \left(x +\frac{1}{2}\right)^{2}+\frac{5}{4}\right)^{\frac{3}{2}}}"," ",0,"521/13182/(-4*x+3*(x+1/2)^2+5/4)^(3/2)+886/151593*(6*x-1)/(-4*x+3*(x+1/2)^2+5/4)^(3/2)+188008/15108769*(6*x-1)/(-4*x+3*(x+1/2)^2+5/4)^(1/2)+1042/28561/(-4*x+3*(x+1/2)^2+5/4)^(1/2)-2084/371293*13^(1/2)*arctanh(2/13*(-4*x+9/2)*13^(1/2)/(-16*x+12*(x+1/2)^2+5)^(1/2))-1/338/(x+1/2)/(-4*x+3*(x+1/2)^2+5/4)^(3/2)-1/104/(x+1/2)^2/(-4*x+3*(x+1/2)^2+5/4)^(3/2)","A"
258,1,324,198,0.013000," ","int((f*x^2+e*x+d)/(h*x+g)/(c*h^2*x^2+b*h^2*x+b*g*h-c*g^2)^(3/2),x)","-\frac{2 \left(c h x +h b -c g \right) \left(-3 b^{2} f \,h^{4} x^{2}+6 b c e \,h^{4} x^{2}-8 c^{2} d \,h^{4} x^{2}-4 c^{2} e g \,h^{3} x^{2}+4 c^{2} f \,g^{2} h^{2} x^{2}+3 b^{2} e \,h^{4} x -12 b^{2} f g \,h^{3} x -4 b c d \,h^{4} x +4 b c e g \,h^{3} x +20 b c f \,g^{2} h^{2} x -8 c^{2} d g \,h^{3} x -4 c^{2} e \,g^{2} h^{2} x -8 c^{2} f \,g^{3} h x +b^{2} d \,h^{4}+2 b^{2} e g \,h^{3}-8 b^{2} f \,g^{2} h^{2}-8 b c d g \,h^{3}+2 b c e \,g^{2} h^{2}+16 b c f \,g^{3} h +4 c^{2} d \,g^{2} h^{2}-4 c^{2} e \,g^{3} h -8 c^{2} f \,g^{4}\right)}{3 \left(b^{3} h^{3}-6 b^{2} c g \,h^{2}+12 b \,c^{2} g^{2} h -8 c^{3} g^{3}\right) \left(c \,h^{2} x^{2}+b \,h^{2} x +b g h -c \,g^{2}\right)^{\frac{3}{2}} h^{3}}"," ",0,"-2/3*(c*h*x+b*h-c*g)*(-3*b^2*f*h^4*x^2+6*b*c*e*h^4*x^2-8*c^2*d*h^4*x^2-4*c^2*e*g*h^3*x^2+4*c^2*f*g^2*h^2*x^2+3*b^2*e*h^4*x-12*b^2*f*g*h^3*x-4*b*c*d*h^4*x+4*b*c*e*g*h^3*x+20*b*c*f*g^2*h^2*x-8*c^2*d*g*h^3*x-4*c^2*e*g^2*h^2*x-8*c^2*f*g^3*h*x+b^2*d*h^4+2*b^2*e*g*h^3-8*b^2*f*g^2*h^2-8*b*c*d*g*h^3+2*b*c*e*g^2*h^2+16*b*c*f*g^3*h+4*c^2*d*g^2*h^2-4*c^2*e*g^3*h-8*c^2*f*g^4)/(b^3*h^3-6*b^2*c*g*h^2+12*b*c^2*g^2*h-8*c^3*g^3)/h^3/(c*h^2*x^2+b*h^2*x+b*g*h-c*g^2)^(3/2)","A"
259,1,19955,834,0.192000," ","int((e*x+d)^(1/2)*(C*x^2+B*x+A)*(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
260,1,12761,604,0.071000," ","int((C*x^2+B*x+A)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
261,1,8221,687,0.085000," ","int((C*x^2+B*x+A)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^(3/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
262,1,21038,646,0.129000," ","int((C*x^2+B*x+A)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^(5/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
263,1,48427,928,0.252000," ","int((C*x^2+B*x+A)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^(7/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
264,1,88790,1293,0.428000," ","int((C*x^2+B*x+A)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^(9/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
265,1,153623,1828,0.804000," ","int((C*x^2+B*x+A)*(c*x^2+b*x+a)^(1/2)/(e*x+d)^(11/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
266,1,14084,654,0.079000," ","int((e*x+d)^(3/2)*(C*x^2+B*x+A)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
267,1,8161,493,0.061000," ","int((e*x+d)^(1/2)*(C*x^2+B*x+A)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
268,1,4251,413,0.054000," ","int((C*x^2+B*x+A)/(e*x+d)^(1/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"-1/3/c^2*(-2*C*x^3*c^2*e^3-2*C*x*b*c*d*e^2-2*C*x*a*c*e^3-2*C*x^2*b*c*e^3-2*C*x^2*c^2*d*e^2+C*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*(-4*a*c+b^2)^(1/2)*b*d*e^2-6*B*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*b*c*d*e^2-4*C*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*a*c*d*e^2-3*B*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*(-4*a*c+b^2)^(1/2)*c*d*e^2+3*B*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*b*c*d*e^2+2*C*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*(-4*a*c+b^2)^(1/2)*c*d^2*e+6*C*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*a*c*d*e^2-2*C*a*c*d*e^2-4*C*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*c^2*d^3+6*B*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*c^2*d^2*e-4*C*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*a*b*e^3+4*C*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*b^2*d*e^2+3*A*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*(-4*a*c+b^2)^(1/2)*c*e^3-6*A*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*c^2*d*e^2-6*B*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*a*c*e^3+6*B*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticE(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*a*c*e^3-C*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*(-4*a*c+b^2)^(1/2)*a*e^3+3*C*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*a*b*e^3-3*C*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*b^2*d*e^2+3*A*2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*((-2*c*x+(-4*a*c+b^2)^(1/2)-b)*e/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2)*((b+2*c*x+(-4*a*c+b^2)^(1/2))*e/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2)*EllipticF(2^(1/2)*(-(e*x+d)*c/(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d))^(1/2),(-(e*(-4*a*c+b^2)^(1/2)+b*e-2*c*d)/(e*(-4*a*c+b^2)^(1/2)-b*e+2*c*d))^(1/2))*b*c*e^3)*(e*x+d)^(1/2)*(c*x^2+b*x+a)^(1/2)/(c*e*x^3+b*e*x^2+c*d*x^2+a*e*x+b*d*x+a*d)/e^3","B"
269,1,6053,456,0.072000," ","int((C*x^2+B*x+A)/(e*x+d)^(3/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
270,1,20481,620,0.132000," ","int((C*x^2+B*x+A)/(e*x+d)^(5/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
271,1,46697,874,0.261000," ","int((C*x^2+B*x+A)/(e*x+d)^(7/2)/(c*x^2+b*x+a)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
272,0,0,494,0.155000," ","int((h*x+g)^m*(c*x^2+b*x+a)^p*(f*x^2+e*x+d),x)","\int \left(f \,x^{2}+e x +d \right) \left(h x +g \right)^{m} \left(c \,x^{2}+b x +a \right)^{p}\, dx"," ",0,"int((h*x+g)^m*(c*x^2+b*x+a)^p*(f*x^2+e*x+d),x)","F"
273,0,0,456,0.046000," ","int((h*x+g)^m*(f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2),x)","\int \left(f \,x^{2}+e x +d \right) \sqrt{c \,x^{2}+b x +a}\, \left(h x +g \right)^{m}\, dx"," ",0,"int((h*x+g)^m*(f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2),x)","F"
274,0,0,564,0.069000," ","int((h*x+g)^(-2*p-3)*(c*x^2+b*x+a)^p*(f*x^2+e*x+d),x)","\int \left(f \,x^{2}+e x +d \right) \left(h x +g \right)^{-2 p -3} \left(c \,x^{2}+b x +a \right)^{p}\, dx"," ",0,"int((h*x+g)^(-2*p-3)*(c*x^2+b*x+a)^p*(f*x^2+e*x+d),x)","F"
275,1,36,41,0.005000," ","int((f*x^2+d)^p*(2*c*d*f+2*b*f^2*(3+2*p)*x+2*c*f^2*(3+2*p)*x^2),x)","\frac{\left(2 p c x +2 p b +2 c x +3 b \right) f \left(f \,x^{2}+d \right)^{p +1}}{p +1}"," ",0,"f*(f*x^2+d)^(1+p)*(2*c*p*x+2*b*p+2*c*x+3*b)/(1+p)","A"
276,1,39,46,0.005000," ","int((f*x^2+e*x+d)^p*(-2*c*e^2+2*c*d*f-c*e^2*p+2*c*f^2*(3+2*p)*x^2),x)","-\frac{\left(-2 f p x +e p -2 f x +2 e \right) c \left(f \,x^{2}+e x +d \right)^{p +1}}{p +1}"," ",0,"-c*(f*x^2+e*x+d)^(p+1)*(-2*f*p*x+e*p-2*f*x+2*e)/(p+1)","A"
277,1,51,57,0.006000," ","int((f*x^2+e*x+d)^p*(-2*c*e^2+2*c*d*f+3*b*e*f-c*e^2*p+2*b*e*f*p+2*b*f^2*(3+2*p)*x+2*c*f^2*(3+2*p)*x^2),x)","\frac{\left(2 c f x p +2 b f p -c e p +2 c f x +3 b f -2 c e \right) \left(f \,x^{2}+e x +d \right)^{p +1}}{p +1}"," ",0,"(f*x^2+e*x+d)^(p+1)*(2*c*f*p*x+2*b*f*p-c*e*p+2*c*f*x+3*b*f-2*c*e)/(p+1)","A"
278,1,8419,20,0.004000," ","int((e*x+d)^3*(c*x^2+b*x+a)^5*(d*(5*a*e+6*b*d)+(5*a*e^2+17*b*d*e+12*c*d^2)*x+e*(11*b*e+29*c*d)*x^2+17*c*e^2*x^3),x)","\text{output too large to display}"," ",0,"result too large to display","B"
279,1,19,20,0.005000," ","int((x^3+x^2)/(x^2+x-2),x)","\frac{x^{2}}{2}+\frac{4 \ln \left(x +2\right)}{3}+\frac{2 \ln \left(x -1\right)}{3}"," ",0,"1/2*x^2+4/3*ln(x+2)+2/3*ln(x-1)","A"
280,1,783,320,0.014000," ","int(x^2*(g*x^3+f*x^2+e*x+d)/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, g \,x^{4}}{5 c}-\frac{9 \sqrt{c \,x^{2}+b x +a}\, b g \,x^{3}}{40 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, f \,x^{3}}{4 c}-\frac{4 \sqrt{c \,x^{2}+b x +a}\, a g \,x^{2}}{15 c^{2}}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, b^{2} g \,x^{2}}{80 c^{3}}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b f \,x^{2}}{24 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, e \,x^{2}}{3 c}-\frac{15 a^{2} b g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 a^{2} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{35 a \,b^{3} g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{32 c^{\frac{9}{2}}}-\frac{15 a \,b^{2} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 a b e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{a d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{63 b^{5} g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{256 c^{\frac{11}{2}}}+\frac{35 b^{4} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}-\frac{5 b^{3} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 b^{2} d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}+\frac{161 \sqrt{c \,x^{2}+b x +a}\, a b g x}{240 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a f x}{8 c^{2}}-\frac{21 \sqrt{c \,x^{2}+b x +a}\, b^{3} g x}{64 c^{4}}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{2} f x}{96 c^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b e x}{12 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, d x}{2 c}+\frac{8 \sqrt{c \,x^{2}+b x +a}\, a^{2} g}{15 c^{3}}-\frac{49 \sqrt{c \,x^{2}+b x +a}\, a \,b^{2} g}{32 c^{4}}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, a b f}{48 c^{3}}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, a e}{3 c^{2}}+\frac{63 \sqrt{c \,x^{2}+b x +a}\, b^{4} g}{128 c^{5}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{3} f}{64 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} e}{8 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b d}{4 c^{2}}"," ",0,"161/240*g/c^3*b*a*x*(c*x^2+b*x+a)^(1/2)+35/128*f/c^(9/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/8*f*a^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+63/128*g/c^5*b^4*(c*x^2+b*x+a)^(1/2)-63/256*g/c^(11/2)*b^5*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+8/15*g*a^2/c^3*(c*x^2+b*x+a)^(1/2)+1/2*d*x/c*(c*x^2+b*x+a)^(1/2)-3/4*d/c^2*b*(c*x^2+b*x+a)^(1/2)+3/8*d/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/2*d*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/3*e*x^2/c*(c*x^2+b*x+a)^(1/2)+5/8*e/c^3*b^2*(c*x^2+b*x+a)^(1/2)-5/16*e/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/3*e*a/c^2*(c*x^2+b*x+a)^(1/2)+1/4*f*x^3/c*(c*x^2+b*x+a)^(1/2)-35/64*f/c^4*b^3*(c*x^2+b*x+a)^(1/2)+1/5*g*x^4*(c*x^2+b*x+a)^(1/2)/c-3/8*f*a/c^2*x*(c*x^2+b*x+a)^(1/2)-9/40*g/c^2*b*x^3*(c*x^2+b*x+a)^(1/2)+21/80*g/c^3*b^2*x^2*(c*x^2+b*x+a)^(1/2)-21/64*g/c^4*b^3*x*(c*x^2+b*x+a)^(1/2)+35/32*g/c^(9/2)*b^3*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-49/32*g/c^4*b^2*a*(c*x^2+b*x+a)^(1/2)-7/24*f/c^2*b*x^2*(c*x^2+b*x+a)^(1/2)+35/96*f/c^3*b^2*x*(c*x^2+b*x+a)^(1/2)-15/16*f/c^(7/2)*b^2*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-4/15*g*a/c^2*x^2*(c*x^2+b*x+a)^(1/2)+55/48*f/c^3*b*a*(c*x^2+b*x+a)^(1/2)-15/16*g/c^(7/2)*b*a^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/4*e/c^(5/2)*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-5/12*e/c^2*b*x*(c*x^2+b*x+a)^(1/2)","B"
281,1,532,223,0.010000," ","int(x*(g*x^3+f*x^2+e*x+d)/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, g \,x^{3}}{4 c}-\frac{7 \sqrt{c \,x^{2}+b x +a}\, b g \,x^{2}}{24 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, f \,x^{2}}{3 c}+\frac{3 a^{2} g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{15 a \,b^{2} g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 a b f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{a e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{35 b^{4} g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{128 c^{\frac{9}{2}}}-\frac{5 b^{3} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 b^{2} e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{b d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, a g x}{8 c^{2}}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{2} g x}{96 c^{3}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b f x}{12 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, e x}{2 c}+\frac{55 \sqrt{c \,x^{2}+b x +a}\, a b g}{48 c^{3}}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, a f}{3 c^{2}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{3} g}{64 c^{4}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} f}{8 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b e}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, d}{c}"," ",0,"1/4*g*x^3*(c*x^2+b*x+a)^(1/2)/c-7/24*g/c^2*b*x^2*(c*x^2+b*x+a)^(1/2)+35/96*g/c^3*b^2*x*(c*x^2+b*x+a)^(1/2)-35/64*g/c^4*b^3*(c*x^2+b*x+a)^(1/2)+35/128*g/c^(9/2)*b^4*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-15/16*g/c^(7/2)*b^2*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+55/48*g/c^3*b*a*(c*x^2+b*x+a)^(1/2)-3/8*g*a/c^2*x*(c*x^2+b*x+a)^(1/2)+3/8*g*a^2/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/3*f*x^2/c*(c*x^2+b*x+a)^(1/2)-5/12*f/c^2*b*x*(c*x^2+b*x+a)^(1/2)+5/8*f/c^3*b^2*(c*x^2+b*x+a)^(1/2)-5/16*f/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/4*f/c^(5/2)*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/3*f*a/c^2*(c*x^2+b*x+a)^(1/2)+1/2*e*x/c*(c*x^2+b*x+a)^(1/2)-3/4*e/c^2*b*(c*x^2+b*x+a)^(1/2)+3/8*e/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/2*e*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+d/c*(c*x^2+b*x+a)^(1/2)-1/2*d*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","B"
282,1,333,155,0.009000," ","int((g*x^3+f*x^2+e*x+d)/(c*x^2+b*x+a)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b x +a}\, g \,x^{2}}{3 c}+\frac{3 a b g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{4 c^{\frac{5}{2}}}-\frac{a f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{5 b^{3} g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{16 c^{\frac{7}{2}}}+\frac{3 b^{2} f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{b e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{d \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b g x}{12 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, f x}{2 c}-\frac{2 \sqrt{c \,x^{2}+b x +a}\, a g}{3 c^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} g}{8 c^{3}}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b f}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, e}{c}"," ",0,"1/3*g*x^2*(c*x^2+b*x+a)^(1/2)/c-5/12*g/c^2*b*x*(c*x^2+b*x+a)^(1/2)+5/8*g/c^3*b^2*(c*x^2+b*x+a)^(1/2)-5/16*g/c^(7/2)*b^3*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+3/4*g/c^(5/2)*b*a*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-2/3*g*a/c^2*(c*x^2+b*x+a)^(1/2)+1/2*(c*x^2+b*x+a)^(1/2)/c*f*x-3/4*(c*x^2+b*x+a)^(1/2)*b/c^2*f+3/8*b^2/c^(5/2)*f*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/2*a/c^(3/2)*f*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+(c*x^2+b*x+a)^(1/2)/c*e-1/2*b/c^(3/2)*e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/c^(1/2)*d*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))","B"
283,1,220,129,0.010000," ","int((g*x^3+f*x^2+e*x+d)/x/(c*x^2+b*x+a)^(1/2),x)","-\frac{a g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}-\frac{d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{3 b^{2} g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{8 c^{\frac{5}{2}}}-\frac{b f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{e \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}+\frac{\sqrt{c \,x^{2}+b x +a}\, g x}{2 c}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, b g}{4 c^{2}}+\frac{\sqrt{c \,x^{2}+b x +a}\, f}{c}"," ",0,"1/2*g*x*(c*x^2+b*x+a)^(1/2)/c-3/4*g/c^2*b*(c*x^2+b*x+a)^(1/2)+3/8*g/c^(5/2)*b^2*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))-1/2*g*a/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+f/c*(c*x^2+b*x+a)^(1/2)-1/2*f*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+e*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-d/a^(1/2)*ln((2*a+b*x+2*a^(1/2)*(c*x^2+b*x+a)^(1/2))/x)","A"
284,1,173,115,0.012000," ","int((g*x^3+f*x^2+e*x+d)/x^2/(c*x^2+b*x+a)^(1/2),x)","-\frac{e \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{b d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{b g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{2 c^{\frac{3}{2}}}+\frac{f \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}+\frac{\sqrt{c \,x^{2}+b x +a}\, g}{c}-\frac{\sqrt{c \,x^{2}+b x +a}\, d}{a x}"," ",0,"g*(c*x^2+b*x+a)^(1/2)/c-1/2*g*b/c^(3/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+f*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-d*(c*x^2+b*x+a)^(1/2)/a/x+1/2*d*b/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-e/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","A"
285,1,241,133,0.012000," ","int((g*x^3+f*x^2+e*x+d)/x^3/(c*x^2+b*x+a)^(1/2),x)","-\frac{f \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{b e \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}+\frac{c d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{3 b^{2} d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{g \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{\sqrt{c}}-\frac{\sqrt{c \,x^{2}+b x +a}\, e}{a x}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b d}{4 a^{2} x}-\frac{\sqrt{c \,x^{2}+b x +a}\, d}{2 a \,x^{2}}"," ",0,"g*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))/c^(1/2)-1/2*d*(c*x^2+b*x+a)^(1/2)/a/x^2+3/4*d*b/a^2/x*(c*x^2+b*x+a)^(1/2)-3/8*d*b^2/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/2*d*c/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-e/a/x*(c*x^2+b*x+a)^(1/2)+1/2*e*b/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-f/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","A"
286,1,375,164,0.014000," ","int((g*x^3+f*x^2+e*x+d)/x^4/(c*x^2+b*x+a)^(1/2),x)","-\frac{g \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{b f \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}+\frac{c e \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{3 b^{2} e \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}-\frac{3 b c d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4 a^{\frac{5}{2}}}+\frac{5 b^{3} d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, f}{a x}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b e}{4 a^{2} x}+\frac{2 \sqrt{c \,x^{2}+b x +a}\, c d}{3 a^{2} x}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} d}{8 a^{3} x}-\frac{\sqrt{c \,x^{2}+b x +a}\, e}{2 a \,x^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b d}{12 a^{2} x^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, d}{3 a \,x^{3}}"," ",0,"-1/2*e/a/x^2*(c*x^2+b*x+a)^(1/2)+3/4*e*b/a^2/x*(c*x^2+b*x+a)^(1/2)-3/8*e*b^2/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/2*e*c/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-f/a/x*(c*x^2+b*x+a)^(1/2)+1/2*f*b/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-g/a^(1/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/3*d*(c*x^2+b*x+a)^(1/2)/a/x^3+5/12*d*b/a^2/x^2*(c*x^2+b*x+a)^(1/2)-5/8*d*b^2/a^3/x*(c*x^2+b*x+a)^(1/2)+5/16*d*b^3/a^(7/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-3/4*d*b/a^(5/2)*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+2/3*d*c/a^2/x*(c*x^2+b*x+a)^(1/2)","B"
287,1,591,244,0.013000," ","int((g*x^3+f*x^2+e*x+d)/x^5/(c*x^2+b*x+a)^(1/2),x)","\frac{b g \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}+\frac{c f \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{3 b^{2} f \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}-\frac{3 b c e \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4 a^{\frac{5}{2}}}-\frac{3 c^{2} d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{5 b^{3} e \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}+\frac{15 b^{2} c d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}-\frac{35 b^{4} d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{9}{2}}}-\frac{\sqrt{c \,x^{2}+b x +a}\, g}{a x}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b f}{4 a^{2} x}+\frac{2 \sqrt{c \,x^{2}+b x +a}\, c e}{3 a^{2} x}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} e}{8 a^{3} x}-\frac{55 \sqrt{c \,x^{2}+b x +a}\, b c d}{48 a^{3} x}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{3} d}{64 a^{4} x}-\frac{\sqrt{c \,x^{2}+b x +a}\, f}{2 a \,x^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b e}{12 a^{2} x^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, c d}{8 a^{2} x^{2}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{2} d}{96 a^{3} x^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, e}{3 a \,x^{3}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, b d}{24 a^{2} x^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, d}{4 a \,x^{4}}"," ",0,"-1/2*f/a/x^2*(c*x^2+b*x+a)^(1/2)+3/4*f*b/a^2/x*(c*x^2+b*x+a)^(1/2)-3/8*f*b^2/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/2*f*c/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/3*e/a/x^3*(c*x^2+b*x+a)^(1/2)+5/12*e*b/a^2/x^2*(c*x^2+b*x+a)^(1/2)-5/8*e*b^2/a^3/x*(c*x^2+b*x+a)^(1/2)+5/16*e*b^3/a^(7/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-3/4*e*b/a^(5/2)*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+2/3*e*c/a^2/x*(c*x^2+b*x+a)^(1/2)-1/4*d*(c*x^2+b*x+a)^(1/2)/a/x^4+7/24*d*b/a^2/x^3*(c*x^2+b*x+a)^(1/2)-35/96*d*b^2/a^3/x^2*(c*x^2+b*x+a)^(1/2)+35/64*d*b^3/a^4/x*(c*x^2+b*x+a)^(1/2)-35/128*d*b^4/a^(9/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+15/16*d*b^2/a^(7/2)*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-55/48*d*b/a^3*c/x*(c*x^2+b*x+a)^(1/2)+3/8*d*c/a^2/x^2*(c*x^2+b*x+a)^(1/2)-3/8*d*c^2/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-g/a/x*(c*x^2+b*x+a)^(1/2)+1/2*g*b/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
288,1,859,341,0.018000," ","int((g*x^3+f*x^2+e*x+d)/x^6/(c*x^2+b*x+a)^(1/2),x)","\frac{c g \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{3 b^{2} g \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}-\frac{3 b c f \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{4 a^{\frac{5}{2}}}-\frac{3 c^{2} e \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{5 b^{3} f \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}+\frac{15 b^{2} c e \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}+\frac{15 b \,c^{2} d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}-\frac{35 b^{4} e \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{9}{2}}}-\frac{35 b^{3} c d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{32 a^{\frac{9}{2}}}+\frac{63 b^{5} d \ln \left(\frac{b x +2 a +2 \sqrt{c \,x^{2}+b x +a}\, \sqrt{a}}{x}\right)}{256 a^{\frac{11}{2}}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, b g}{4 a^{2} x}+\frac{2 \sqrt{c \,x^{2}+b x +a}\, c f}{3 a^{2} x}-\frac{5 \sqrt{c \,x^{2}+b x +a}\, b^{2} f}{8 a^{3} x}-\frac{55 \sqrt{c \,x^{2}+b x +a}\, b c e}{48 a^{3} x}-\frac{8 \sqrt{c \,x^{2}+b x +a}\, c^{2} d}{15 a^{3} x}+\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{3} e}{64 a^{4} x}+\frac{49 \sqrt{c \,x^{2}+b x +a}\, b^{2} c d}{32 a^{4} x}-\frac{63 \sqrt{c \,x^{2}+b x +a}\, b^{4} d}{128 a^{5} x}-\frac{\sqrt{c \,x^{2}+b x +a}\, g}{2 a \,x^{2}}+\frac{5 \sqrt{c \,x^{2}+b x +a}\, b f}{12 a^{2} x^{2}}+\frac{3 \sqrt{c \,x^{2}+b x +a}\, c e}{8 a^{2} x^{2}}-\frac{35 \sqrt{c \,x^{2}+b x +a}\, b^{2} e}{96 a^{3} x^{2}}-\frac{161 \sqrt{c \,x^{2}+b x +a}\, b c d}{240 a^{3} x^{2}}+\frac{21 \sqrt{c \,x^{2}+b x +a}\, b^{3} d}{64 a^{4} x^{2}}-\frac{\sqrt{c \,x^{2}+b x +a}\, f}{3 a \,x^{3}}+\frac{7 \sqrt{c \,x^{2}+b x +a}\, b e}{24 a^{2} x^{3}}+\frac{4 \sqrt{c \,x^{2}+b x +a}\, c d}{15 a^{2} x^{3}}-\frac{21 \sqrt{c \,x^{2}+b x +a}\, b^{2} d}{80 a^{3} x^{3}}-\frac{\sqrt{c \,x^{2}+b x +a}\, e}{4 a \,x^{4}}+\frac{9 \sqrt{c \,x^{2}+b x +a}\, b d}{40 a^{2} x^{4}}-\frac{\sqrt{c \,x^{2}+b x +a}\, d}{5 a \,x^{5}}"," ",0,"-1/4*e/a/x^4*(c*x^2+b*x+a)^(1/2)-35/128*e*b^4/a^(9/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-3/8*e*c^2/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/3*f/a/x^3*(c*x^2+b*x+a)^(1/2)+5/16*f*b^3/a^(7/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+63/256*d*b^5/a^(11/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/2*g/a/x^2*(c*x^2+b*x+a)^(1/2)-3/8*g*b^2/a^(5/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+1/2*g*c/a^(3/2)*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)-1/5*d*(c*x^2+b*x+a)^(1/2)/a/x^5-161/240*d*b/a^3*c/x^2*(c*x^2+b*x+a)^(1/2)-55/48*e*b/a^3*c/x*(c*x^2+b*x+a)^(1/2)+49/32*d*b^2/a^4*c/x*(c*x^2+b*x+a)^(1/2)+3/8*e*c/a^2/x^2*(c*x^2+b*x+a)^(1/2)+9/40*d*b/a^2/x^4*(c*x^2+b*x+a)^(1/2)-21/80*d*b^2/a^3/x^3*(c*x^2+b*x+a)^(1/2)+21/64*d*b^3/a^4/x^2*(c*x^2+b*x+a)^(1/2)-63/128*d*b^4/a^5/x*(c*x^2+b*x+a)^(1/2)-35/32*d*b^3/a^(9/2)*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+15/16*d*b/a^(7/2)*c^2*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+4/15*d*c/a^2/x^3*(c*x^2+b*x+a)^(1/2)-8/15*d*c^2/a^3/x*(c*x^2+b*x+a)^(1/2)+5/12*f*b/a^2/x^2*(c*x^2+b*x+a)^(1/2)-5/8*f*b^2/a^3/x*(c*x^2+b*x+a)^(1/2)-3/4*f*b/a^(5/2)*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)+2/3*f*c/a^2/x*(c*x^2+b*x+a)^(1/2)+7/24*e*b/a^2/x^3*(c*x^2+b*x+a)^(1/2)-35/96*e*b^2/a^3/x^2*(c*x^2+b*x+a)^(1/2)+3/4*g*b/a^2/x*(c*x^2+b*x+a)^(1/2)+35/64*e*b^3/a^4/x*(c*x^2+b*x+a)^(1/2)+15/16*e*b^2/a^(7/2)*c*ln((b*x+2*a+2*(c*x^2+b*x+a)^(1/2)*a^(1/2))/x)","B"
289,1,208,246,0.002000," ","int((e*x+d)^3*(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2),x)","2 e^{3} x^{10}+\frac{\left(60 d \,e^{2}-17 e^{3}\right) x^{9}}{9}+\frac{\left(60 d^{2} e -51 d \,e^{2}+17 e^{3}\right) x^{8}}{8}+\frac{\left(20 d^{3}-51 d^{2} e +51 d \,e^{2}-4 e^{3}\right) x^{7}}{7}+\frac{\left(-17 d^{3}+51 d^{2} e -12 d \,e^{2}+21 e^{3}\right) x^{6}}{6}+\frac{\left(17 d^{3}-12 d^{2} e +63 d \,e^{2}+7 e^{3}\right) x^{5}}{5}+6 d^{3} x +\frac{\left(-4 d^{3}+63 d^{2} e +21 d \,e^{2}+6 e^{3}\right) x^{4}}{4}+\frac{\left(21 d^{3}+21 d^{2} e +18 d \,e^{2}\right) x^{3}}{3}+\frac{\left(7 d^{3}+18 d^{2} e \right) x^{2}}{2}"," ",0,"2*e^3*x^10+1/9*(60*d*e^2-17*e^3)*x^9+1/8*(60*d^2*e-51*d*e^2+17*e^3)*x^8+1/7*(20*d^3-51*d^2*e+51*d*e^2-4*e^3)*x^7+1/6*(-17*d^3+51*d^2*e-12*d*e^2+21*e^3)*x^6+1/5*(17*d^3-12*d^2*e+63*d*e^2+7*e^3)*x^5+1/4*(-4*d^3+63*d^2*e+21*d*e^2+6*e^3)*x^4+1/3*(21*d^3+21*d^2*e+18*d*e^2)*x^3+1/2*(7*d^3+18*d^2*e)*x^2+6*d^3*x","A"
290,1,146,141,0.002000," ","int((e*x+d)^2*(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2),x)","\frac{20 e^{2} x^{9}}{9}+\frac{\left(40 d e -17 e^{2}\right) x^{8}}{8}+\frac{\left(20 d^{2}-34 d e +17 e^{2}\right) x^{7}}{7}+\frac{\left(-17 d^{2}+34 d e -4 e^{2}\right) x^{6}}{6}+\frac{\left(17 d^{2}-8 d e +21 e^{2}\right) x^{5}}{5}+\frac{\left(-4 d^{2}+42 d e +7 e^{2}\right) x^{4}}{4}+6 d^{2} x +\frac{\left(21 d^{2}+14 d e +6 e^{2}\right) x^{3}}{3}+\frac{\left(7 d^{2}+12 d e \right) x^{2}}{2}"," ",0,"20/9*e^2*x^9+1/8*(40*d*e-17*e^2)*x^8+1/7*(20*d^2-34*d*e+17*e^2)*x^7+1/6*(-17*d^2+34*d*e-4*e^2)*x^6+1/5*(17*d^2-8*d*e+21*e^2)*x^5+1/4*(-4*d^2+42*d*e+7*e^2)*x^4+1/3*(21*d^2+14*d*e+6*e^2)*x^3+1/2*(7*d^2+12*d*e)*x^2+6*d^2*x","A"
291,1,84,79,0.001000," ","int((e*x+d)*(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2),x)","\frac{5 e \,x^{8}}{2}+\frac{\left(20 d -17 e \right) x^{7}}{7}+\frac{\left(-17 d +17 e \right) x^{6}}{6}+\frac{\left(17 d -4 e \right) x^{5}}{5}+\frac{\left(-4 d +21 e \right) x^{4}}{4}+\frac{\left(21 d +7 e \right) x^{3}}{3}+6 d x +\frac{\left(7 d +6 e \right) x^{2}}{2}"," ",0,"5/2*e*x^8+1/7*(20*d-17*e)*x^7+1/6*(-17*d+17*e)*x^6+1/5*(17*d-4*e)*x^5+1/4*(-4*d+21*e)*x^4+1/3*(21*d+7*e)*x^3+1/2*(7*d+6*e)*x^2+6*d*x","A"
292,1,35,34,0.002000," ","int((5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2),x)","\frac{20}{7} x^{7}-\frac{17}{6} x^{6}+\frac{17}{5} x^{5}-x^{4}+7 x^{3}+\frac{7}{2} x^{2}+6 x"," ",0,"6*x+7/2*x^2+7*x^3-x^4+17/5*x^5-17/6*x^6+20/7*x^7","A"
293,1,286,218,0.006000," ","int((5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d),x)","\frac{10 x^{6}}{3 e}-\frac{4 d \,x^{5}}{e^{2}}-\frac{17 x^{5}}{5 e}+\frac{5 d^{2} x^{4}}{e^{3}}+\frac{17 d \,x^{4}}{4 e^{2}}+\frac{17 x^{4}}{4 e}-\frac{20 d^{3} x^{3}}{3 e^{4}}-\frac{17 d^{2} x^{3}}{3 e^{3}}-\frac{17 d \,x^{3}}{3 e^{2}}-\frac{4 x^{3}}{3 e}+\frac{10 d^{4} x^{2}}{e^{5}}+\frac{17 d^{3} x^{2}}{2 e^{4}}+\frac{17 d^{2} x^{2}}{2 e^{3}}+\frac{2 d \,x^{2}}{e^{2}}+\frac{21 x^{2}}{2 e}+\frac{20 d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{20 d^{5} x}{e^{6}}+\frac{17 d^{5} \ln \left(e x +d \right)}{e^{6}}-\frac{17 d^{4} x}{e^{5}}+\frac{17 d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{17 d^{3} x}{e^{4}}+\frac{4 d^{3} \ln \left(e x +d \right)}{e^{4}}-\frac{4 d^{2} x}{e^{3}}+\frac{21 d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{21 d x}{e^{2}}-\frac{7 d \ln \left(e x +d \right)}{e^{2}}+\frac{7 x}{e}+\frac{6 \ln \left(e x +d \right)}{e}"," ",0,"21/2*x^2/e+10/3*x^6/e+6/e*ln(e*x+d)+17/4/e*x^4-4/3/e*x^3+7/e*x-17/5/e*x^5+17/4/e^2*x^4*d-20/3/e^4*x^3*d^3-17/3/e^3*x^3*d^2-17/3/e^2*x^3*d+10/e^5*x^2*d^4+17/2/e^4*x^2*d^3+17/2/e^3*x^2*d^2-4/e^2*x^5*d+5/e^3*x^4*d^2+4/e^4*ln(e*x+d)*d^3-17/e^4*x*d^3-4/e^3*x*d^2-21/e^2*x*d+2/e^2*x^2*d-20/e^6*x*d^5-17/e^5*x*d^4+21/e^3*ln(e*x+d)*d^2-7/e^2*ln(e*x+d)*d+20/e^7*ln(e*x+d)*d^6+17/e^6*ln(e*x+d)*d^5+17/e^5*ln(e*x+d)*d^4","A"
294,1,313,222,0.012000," ","int((5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^2,x)","\frac{4 x^{5}}{e^{2}}-\frac{10 d \,x^{4}}{e^{3}}-\frac{17 x^{4}}{4 e^{2}}+\frac{20 d^{2} x^{3}}{e^{4}}+\frac{34 d \,x^{3}}{3 e^{3}}+\frac{17 x^{3}}{3 e^{2}}-\frac{40 d^{3} x^{2}}{e^{5}}-\frac{51 d^{2} x^{2}}{2 e^{4}}-\frac{17 d \,x^{2}}{e^{3}}-\frac{2 x^{2}}{e^{2}}-\frac{20 d^{6}}{\left(e x +d \right) e^{7}}-\frac{17 d^{5}}{\left(e x +d \right) e^{6}}-\frac{120 d^{5} \ln \left(e x +d \right)}{e^{7}}-\frac{17 d^{4}}{\left(e x +d \right) e^{5}}+\frac{100 d^{4} x}{e^{6}}-\frac{85 d^{4} \ln \left(e x +d \right)}{e^{6}}-\frac{4 d^{3}}{\left(e x +d \right) e^{4}}+\frac{68 d^{3} x}{e^{5}}-\frac{68 d^{3} \ln \left(e x +d \right)}{e^{5}}-\frac{21 d^{2}}{\left(e x +d \right) e^{3}}+\frac{51 d^{2} x}{e^{4}}-\frac{12 d^{2} \ln \left(e x +d \right)}{e^{4}}+\frac{7 d}{\left(e x +d \right) e^{2}}+\frac{8 d x}{e^{3}}-\frac{42 d \ln \left(e x +d \right)}{e^{3}}-\frac{6}{\left(e x +d \right) e}+\frac{21 x}{e^{2}}+\frac{7 \ln \left(e x +d \right)}{e^{2}}"," ",0,"21*x/e^2+4*x^5/e^2-2/e^2*x^2-6/e/(e*x+d)+7/e^2*ln(e*x+d)+17/3/e^2*x^3-17/4/e^2*x^4-42/e^3*ln(e*x+d)*d-120/e^7*ln(e*x+d)*d^5-85/e^6*ln(e*x+d)*d^4-68/e^5*ln(e*x+d)*d^3-12/e^4*ln(e*x+d)*d^2-21/e^3/(e*x+d)*d^2+7/e^2/(e*x+d)*d-20/e^7/(e*x+d)*d^6-17/e^6/(e*x+d)*d^5-17/e^5/(e*x+d)*d^4-4/e^4/(e*x+d)*d^3+8/e^3*x*d+34/3/e^3*x^3*d-40/e^5*x^2*d^3-51/2/e^4*x^2*d^2-17/e^3*x^2*d+100/e^6*d^4*x+68/e^5*x*d^3+51/e^4*x*d^2-10/e^3*x^4*d+20/e^4*x^3*d^2","A"
295,1,336,225,0.011000," ","int((5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^3,x)","\frac{5 x^{4}}{e^{3}}-\frac{20 d \,x^{3}}{e^{4}}-\frac{17 x^{3}}{3 e^{3}}-\frac{10 d^{6}}{\left(e x +d \right)^{2} e^{7}}-\frac{17 d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{17 d^{4}}{2 \left(e x +d \right)^{2} e^{5}}-\frac{2 d^{3}}{\left(e x +d \right)^{2} e^{4}}-\frac{21 d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{60 d^{2} x^{2}}{e^{5}}+\frac{7 d}{2 \left(e x +d \right)^{2} e^{2}}+\frac{51 d \,x^{2}}{2 e^{4}}-\frac{3}{\left(e x +d \right)^{2} e}+\frac{17 x^{2}}{2 e^{3}}+\frac{120 d^{5}}{\left(e x +d \right) e^{7}}+\frac{85 d^{4}}{\left(e x +d \right) e^{6}}+\frac{300 d^{4} \ln \left(e x +d \right)}{e^{7}}+\frac{68 d^{3}}{\left(e x +d \right) e^{5}}-\frac{200 d^{3} x}{e^{6}}+\frac{170 d^{3} \ln \left(e x +d \right)}{e^{6}}+\frac{12 d^{2}}{\left(e x +d \right) e^{4}}-\frac{102 d^{2} x}{e^{5}}+\frac{102 d^{2} \ln \left(e x +d \right)}{e^{5}}+\frac{42 d}{\left(e x +d \right) e^{3}}-\frac{51 d x}{e^{4}}+\frac{12 d \ln \left(e x +d \right)}{e^{4}}-\frac{7}{\left(e x +d \right) e^{2}}-\frac{4 x}{e^{3}}+\frac{21 \ln \left(e x +d \right)}{e^{3}}"," ",0,"-200/e^6*d^3*x-102/e^5*x*d^2-51/e^4*x*d+5*x^4/e^3-3/e/(e*x+d)^2+21/e^3*ln(e*x+d)+17/2/e^3*x^2-4/e^3*x-7/e^2/(e*x+d)-17/3/e^3*x^3+120/e^7/(e*x+d)*d^5+85/e^6/(e*x+d)*d^4+68/e^5/(e*x+d)*d^3+12/e^4/(e*x+d)*d^2+42/e^3/(e*x+d)*d-20/e^4*x^3*d+60/e^5*x^2*d^2+51/2/e^4*x^2*d-10/e^7/(e*x+d)^2*d^6-17/2/e^6/(e*x+d)^2*d^5-17/2/e^5/(e*x+d)^2*d^4-2/e^4/(e*x+d)^2*d^3-21/2/e^3/(e*x+d)^2*d^2+7/2/e^2/(e*x+d)^2*d+300/e^7*ln(e*x+d)*d^4+170/e^6*ln(e*x+d)*d^3+102/e^5*ln(e*x+d)*d^2+12/e^4*ln(e*x+d)*d","A"
296,1,264,373,0.002000," ","int((e*x+d)^3*(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2),x)","\frac{25 e^{3} x^{12}}{3}+\frac{\left(300 d \,e^{2}-45 e^{3}\right) x^{11}}{11}+\frac{\left(300 d^{2} e -135 d \,e^{2}+111 e^{3}\right) x^{10}}{10}+\frac{\left(100 d^{3}-135 d^{2} e +333 d \,e^{2}-37 e^{3}\right) x^{9}}{9}+\frac{\left(-45 d^{3}+333 d^{2} e -111 d \,e^{2}+148 e^{3}\right) x^{8}}{8}+\frac{\left(111 d^{3}-111 d^{2} e +444 d \,e^{2}+65 e^{3}\right) x^{7}}{7}+\frac{\left(-37 d^{3}+444 d^{2} e +195 d \,e^{2}+107 e^{3}\right) x^{6}}{6}+\frac{\left(148 d^{3}+195 d^{2} e +321 d \,e^{2}+33 e^{3}\right) x^{5}}{5}+18 d^{3} x +\frac{\left(65 d^{3}+321 d^{2} e +99 d \,e^{2}+18 e^{3}\right) x^{4}}{4}+\frac{\left(107 d^{3}+99 d^{2} e +54 d \,e^{2}\right) x^{3}}{3}+\frac{\left(33 d^{3}+54 d^{2} e \right) x^{2}}{2}"," ",0,"25/3*e^3*x^12+1/11*(300*d*e^2-45*e^3)*x^11+1/10*(300*d^2*e-135*d*e^2+111*e^3)*x^10+1/9*(100*d^3-135*d^2*e+333*d*e^2-37*e^3)*x^9+1/8*(-45*d^3+333*d^2*e-111*d*e^2+148*e^3)*x^8+1/7*(111*d^3-111*d^2*e+444*d*e^2+65*e^3)*x^7+1/6*(-37*d^3+444*d^2*e+195*d*e^2+107*e^3)*x^6+1/5*(148*d^3+195*d^2*e+321*d*e^2+33*e^3)*x^5+1/4*(65*d^3+321*d^2*e+99*d*e^2+18*e^3)*x^4+1/3*(107*d^3+99*d^2*e+54*d*e^2)*x^3+1/2*(33*d^3+54*d^2*e)*x^2+18*d^3*x","A"
297,1,186,181,0.001000," ","int((e*x+d)^2*(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2),x)","\frac{100 e^{2} x^{11}}{11}+\frac{\left(200 d e -45 e^{2}\right) x^{10}}{10}+\frac{\left(100 d^{2}-90 d e +111 e^{2}\right) x^{9}}{9}+\frac{\left(-45 d^{2}+222 d e -37 e^{2}\right) x^{8}}{8}+\frac{\left(111 d^{2}-74 d e +148 e^{2}\right) x^{7}}{7}+\frac{\left(-37 d^{2}+296 d e +65 e^{2}\right) x^{6}}{6}+\frac{\left(148 d^{2}+130 d e +107 e^{2}\right) x^{5}}{5}+\frac{\left(65 d^{2}+214 d e +33 e^{2}\right) x^{4}}{4}+18 d^{2} x +\frac{\left(107 d^{2}+66 d e +18 e^{2}\right) x^{3}}{3}+\frac{\left(33 d^{2}+36 d e \right) x^{2}}{2}"," ",0,"100/11*e^2*x^11+1/10*(200*d*e-45*e^2)*x^10+1/9*(100*d^2-90*d*e+111*e^2)*x^9+1/8*(-45*d^2+222*d*e-37*e^2)*x^8+1/7*(111*d^2-74*d*e+148*e^2)*x^7+1/6*(-37*d^2+296*d*e+65*e^2)*x^6+1/5*(148*d^2+130*d*e+107*e^2)*x^5+1/4*(65*d^2+214*d*e+33*e^2)*x^4+1/3*(107*d^2+66*d*e+18*e^2)*x^3+1/2*(33*d^2+36*d*e)*x^2+18*d^2*x","A"
298,1,108,105,0.001000," ","int((e*x+d)*(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2),x)","10 e \,x^{10}+\frac{\left(100 d -45 e \right) x^{9}}{9}+\frac{\left(-45 d +111 e \right) x^{8}}{8}+\frac{\left(111 d -37 e \right) x^{7}}{7}+\frac{\left(-37 d +148 e \right) x^{6}}{6}+\frac{\left(148 d +65 e \right) x^{5}}{5}+\frac{\left(65 d +107 e \right) x^{4}}{4}+\frac{\left(107 d +33 e \right) x^{3}}{3}+18 d x +\frac{\left(33 d +18 e \right) x^{2}}{2}"," ",0,"10*e*x^10+1/9*(100*d-45*e)*x^9+1/8*(-45*d+111*e)*x^8+1/7*(111*d-37*e)*x^7+1/6*(-37*d+148*e)*x^6+1/5*(148*d+65*e)*x^5+1/4*(65*d+107*e)*x^4+1/3*(107*d+33*e)*x^3+1/2*(33*d+18*e)*x^2+18*d*x","A"
299,1,45,44,0.000000," ","int((5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2),x)","\frac{100}{9} x^{9}-\frac{45}{8} x^{8}+\frac{111}{7} x^{7}-\frac{37}{6} x^{6}+\frac{148}{5} x^{5}+\frac{65}{4} x^{4}+\frac{107}{3} x^{3}+\frac{33}{2} x^{2}+18 x"," ",0,"18*x+33/2*x^2+107/3*x^3+65/4*x^4+148/5*x^5-37/6*x^6+111/7*x^7-45/8*x^8+100/9*x^9","A"
300,1,465,338,0.006000," ","int((5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d),x)","\frac{25 x^{8}}{2 e}-\frac{100 d \,x^{7}}{7 e^{2}}-\frac{45 x^{7}}{7 e}+\frac{50 d^{2} x^{6}}{3 e^{3}}+\frac{15 d \,x^{6}}{2 e^{2}}+\frac{37 x^{6}}{2 e}-\frac{20 d^{3} x^{5}}{e^{4}}-\frac{9 d^{2} x^{5}}{e^{3}}-\frac{111 d \,x^{5}}{5 e^{2}}-\frac{37 x^{5}}{5 e}+\frac{25 d^{4} x^{4}}{e^{5}}+\frac{45 d^{3} x^{4}}{4 e^{4}}+\frac{111 d^{2} x^{4}}{4 e^{3}}+\frac{37 d \,x^{4}}{4 e^{2}}+\frac{37 x^{4}}{e}-\frac{100 d^{5} x^{3}}{3 e^{6}}-\frac{15 d^{4} x^{3}}{e^{5}}-\frac{37 d^{3} x^{3}}{e^{4}}-\frac{37 d^{2} x^{3}}{3 e^{3}}-\frac{148 d \,x^{3}}{3 e^{2}}+\frac{65 x^{3}}{3 e}+\frac{50 d^{6} x^{2}}{e^{7}}+\frac{45 d^{5} x^{2}}{2 e^{6}}+\frac{111 d^{4} x^{2}}{2 e^{5}}+\frac{37 d^{3} x^{2}}{2 e^{4}}+\frac{74 d^{2} x^{2}}{e^{3}}-\frac{65 d \,x^{2}}{2 e^{2}}+\frac{107 x^{2}}{2 e}+\frac{100 d^{8} \ln \left(e x +d \right)}{e^{9}}-\frac{100 d^{7} x}{e^{8}}+\frac{45 d^{7} \ln \left(e x +d \right)}{e^{8}}-\frac{45 d^{6} x}{e^{7}}+\frac{111 d^{6} \ln \left(e x +d \right)}{e^{7}}-\frac{111 d^{5} x}{e^{6}}+\frac{37 d^{5} \ln \left(e x +d \right)}{e^{6}}-\frac{37 d^{4} x}{e^{5}}+\frac{148 d^{4} \ln \left(e x +d \right)}{e^{5}}-\frac{148 d^{3} x}{e^{4}}-\frac{65 d^{3} \ln \left(e x +d \right)}{e^{4}}+\frac{65 d^{2} x}{e^{3}}+\frac{107 d^{2} \ln \left(e x +d \right)}{e^{3}}-\frac{107 d x}{e^{2}}-\frac{33 d \ln \left(e x +d \right)}{e^{2}}+\frac{33 x}{e}+\frac{18 \ln \left(e x +d \right)}{e}"," ",0,"107/2/e*x^2+25/2*x^8/e+37/2/e*x^6-45/7/e*x^7+18/e*ln(e*x+d)+37/e*x^4+65/3/e*x^3+33/e*x-37/5/e*x^5-15/e^5*x^3*d^4+25/e^5*x^4*d^4-20/e^4*x^5*d^3+45/4/e^4*x^4*d^3+50/3/e^3*x^6*d^2-9/e^3*x^5*d^2-100/7/e^2*x^7*d+15/2/e^2*x^6*d-100/e^8*x*d^7-45/e^7*x*d^6+45/e^8*ln(e*x+d)*d^7-100/3/e^6*x^3*d^5+45/2/e^6*x^2*d^5+50/e^7*x^2*d^6+100/e^9*ln(e*x+d)*d^8+37/4*d/e^2*x^4-37*d^3/e^4*x^3-37/3*d^2/e^3*x^3-148/3*d/e^2*x^3+111/2*d^4/e^5*x^2+37/2*d^3/e^4*x^2+74*d^2/e^3*x^2-111/5*d/e^2*x^5+111/4*d^2/e^3*x^4-65*d^3/e^4*ln(e*x+d)-148*d^3/e^4*x+65*d^2/e^3*x-107*d/e^2*x-65/2*d/e^2*x^2-111*d^5/e^6*x-37*d^4/e^5*x+107*d^2/e^3*ln(e*x+d)-33*d/e^2*ln(e*x+d)+111*d^6/e^7*ln(e*x+d)+37*d^5/e^6*ln(e*x+d)+148*d^4/e^5*ln(e*x+d)","A"
301,1,500,341,0.012000," ","int((5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^2,x)","\frac{100 x^{7}}{7 e^{2}}-\frac{100 d \,x^{6}}{3 e^{3}}-\frac{15 x^{6}}{2 e^{2}}+\frac{60 d^{2} x^{5}}{e^{4}}+\frac{18 d \,x^{5}}{e^{3}}+\frac{111 x^{5}}{5 e^{2}}-\frac{100 d^{3} x^{4}}{e^{5}}-\frac{135 d^{2} x^{4}}{4 e^{4}}-\frac{111 d \,x^{4}}{2 e^{3}}-\frac{37 x^{4}}{4 e^{2}}+\frac{500 d^{4} x^{3}}{3 e^{6}}+\frac{60 d^{3} x^{3}}{e^{5}}+\frac{111 d^{2} x^{3}}{e^{4}}+\frac{74 d \,x^{3}}{3 e^{3}}+\frac{148 x^{3}}{3 e^{2}}-\frac{300 d^{5} x^{2}}{e^{7}}-\frac{225 d^{4} x^{2}}{2 e^{6}}-\frac{222 d^{3} x^{2}}{e^{5}}-\frac{111 d^{2} x^{2}}{2 e^{4}}-\frac{148 d \,x^{2}}{e^{3}}+\frac{65 x^{2}}{2 e^{2}}-\frac{100 d^{8}}{\left(e x +d \right) e^{9}}-\frac{45 d^{7}}{\left(e x +d \right) e^{8}}-\frac{800 d^{7} \ln \left(e x +d \right)}{e^{9}}-\frac{111 d^{6}}{\left(e x +d \right) e^{7}}+\frac{700 d^{6} x}{e^{8}}-\frac{315 d^{6} \ln \left(e x +d \right)}{e^{8}}-\frac{37 d^{5}}{\left(e x +d \right) e^{6}}+\frac{270 d^{5} x}{e^{7}}-\frac{666 d^{5} \ln \left(e x +d \right)}{e^{7}}-\frac{148 d^{4}}{\left(e x +d \right) e^{5}}+\frac{555 d^{4} x}{e^{6}}-\frac{185 d^{4} \ln \left(e x +d \right)}{e^{6}}+\frac{65 d^{3}}{\left(e x +d \right) e^{4}}+\frac{148 d^{3} x}{e^{5}}-\frac{592 d^{3} \ln \left(e x +d \right)}{e^{5}}-\frac{107 d^{2}}{\left(e x +d \right) e^{3}}+\frac{444 d^{2} x}{e^{4}}+\frac{195 d^{2} \ln \left(e x +d \right)}{e^{4}}+\frac{33 d}{\left(e x +d \right) e^{2}}-\frac{130 d x}{e^{3}}-\frac{214 d \ln \left(e x +d \right)}{e^{3}}-\frac{18}{\left(e x +d \right) e}+\frac{107 x}{e^{2}}+\frac{33 \ln \left(e x +d \right)}{e^{2}}"," ",0,"700/e^8*d^6*x-300/e^7*x^2*d^5-225/2/e^6*x^2*d^4+500/3/e^6*x^3*d^4+60/e^5*x^3*d^3+270/e^7*x*d^5-100/e^5*x^4*d^3-135/4/e^4*x^4*d^2+60/e^4*x^5*d^2-100/3/e^3*x^6*d+18/e^3*x^5*d-100/e^9/(e*x+d)*d^8-45/e^8/(e*x+d)*d^7-800/e^9*ln(e*x+d)*d^7-315/e^8*ln(e*x+d)*d^6+107/e^2*x+100/7*x^7/e^2+111/5/e^2*x^5-15/2/e^2*x^6+65/2/e^2*x^2-18/(e*x+d)/e+33/e^2*ln(e*x+d)+148/3/e^2*x^3-37/4/e^2*x^4-214*d/e^3*ln(e*x+d)-666*d^5/e^7*ln(e*x+d)-185*d^4/e^6*ln(e*x+d)-592*d^3/e^5*ln(e*x+d)+195*d^2/e^4*ln(e*x+d)-107/(e*x+d)*d^2/e^3+33/(e*x+d)*d/e^2-111/(e*x+d)*d^6/e^7-37/(e*x+d)*d^5/e^6-148/(e*x+d)*d^4/e^5+65/(e*x+d)*d^3/e^4-130*d/e^3*x+74/3*d/e^3*x^3-222*d^3/e^5*x^2-111/2*d^2/e^4*x^2-148*d/e^3*x^2+555*d^4/e^6*x+148*d^3/e^5*x+444*d^2/e^4*x-111/2*d/e^3*x^4+111*d^2/e^4*x^3","A"
302,1,531,344,0.014000," ","int((5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^3,x)","\frac{50 x^{6}}{3 e^{3}}-\frac{60 d \,x^{5}}{e^{4}}-\frac{9 x^{5}}{e^{3}}+\frac{150 d^{2} x^{4}}{e^{5}}+\frac{135 d \,x^{4}}{4 e^{4}}+\frac{111 x^{4}}{4 e^{3}}-\frac{1000 d^{3} x^{3}}{3 e^{6}}-\frac{90 d^{2} x^{3}}{e^{5}}-\frac{111 d \,x^{3}}{e^{4}}-\frac{37 x^{3}}{3 e^{3}}-\frac{50 d^{8}}{\left(e x +d \right)^{2} e^{9}}-\frac{45 d^{7}}{2 \left(e x +d \right)^{2} e^{8}}-\frac{111 d^{6}}{2 \left(e x +d \right)^{2} e^{7}}-\frac{37 d^{5}}{2 \left(e x +d \right)^{2} e^{6}}-\frac{74 d^{4}}{\left(e x +d \right)^{2} e^{5}}+\frac{750 d^{4} x^{2}}{e^{7}}+\frac{65 d^{3}}{2 \left(e x +d \right)^{2} e^{4}}+\frac{225 d^{3} x^{2}}{e^{6}}-\frac{107 d^{2}}{2 \left(e x +d \right)^{2} e^{3}}+\frac{333 d^{2} x^{2}}{e^{5}}+\frac{33 d}{2 \left(e x +d \right)^{2} e^{2}}+\frac{111 d \,x^{2}}{2 e^{4}}-\frac{9}{\left(e x +d \right)^{2} e}+\frac{74 x^{2}}{e^{3}}+\frac{800 d^{7}}{\left(e x +d \right) e^{9}}+\frac{315 d^{6}}{\left(e x +d \right) e^{8}}+\frac{2800 d^{6} \ln \left(e x +d \right)}{e^{9}}+\frac{666 d^{5}}{\left(e x +d \right) e^{7}}-\frac{2100 d^{5} x}{e^{8}}+\frac{945 d^{5} \ln \left(e x +d \right)}{e^{8}}+\frac{185 d^{4}}{\left(e x +d \right) e^{6}}-\frac{675 d^{4} x}{e^{7}}+\frac{1665 d^{4} \ln \left(e x +d \right)}{e^{7}}+\frac{592 d^{3}}{\left(e x +d \right) e^{5}}-\frac{1110 d^{3} x}{e^{6}}+\frac{370 d^{3} \ln \left(e x +d \right)}{e^{6}}-\frac{195 d^{2}}{\left(e x +d \right) e^{4}}-\frac{222 d^{2} x}{e^{5}}+\frac{888 d^{2} \ln \left(e x +d \right)}{e^{5}}+\frac{214 d}{\left(e x +d \right) e^{3}}-\frac{444 d x}{e^{4}}-\frac{195 d \ln \left(e x +d \right)}{e^{4}}-\frac{33}{\left(e x +d \right) e^{2}}+\frac{65 x}{e^{3}}+\frac{107 \ln \left(e x +d \right)}{e^{3}}"," ",0,"-1110*d^3/e^6*x-222*d^2/e^5*x-444*d/e^4*x+50/3*x^6/e^3+111/4/e^3*x^4-9/e^3*x^5-9/(e*x+d)^2/e+107/e^3*ln(e*x+d)+74/e^3*x^2+65/e^3*x-33/(e*x+d)/e^2-37/3/e^3*x^3-50/e^9/(e*x+d)^2*d^8-45/2/e^8/(e*x+d)^2*d^7+2800/e^9*ln(e*x+d)*d^6+945/e^8*ln(e*x+d)*d^5-60/e^4*x^5*d+150/e^5*x^4*d^2+135/4/e^4*x^4*d-1000/3/e^6*x^3*d^3-90/e^5*x^3*d^2+750/e^7*x^2*d^4+225/e^6*x^2*d^3-2100/e^8*x*d^5-675/e^7*x*d^4+800/e^9/(e*x+d)*d^7+315/e^8/(e*x+d)*d^6+666/(e*x+d)*d^5/e^7+185/(e*x+d)*d^4/e^6+592/(e*x+d)*d^3/e^5-195/(e*x+d)*d^2/e^4+214/(e*x+d)*d/e^3-111*d/e^4*x^3+333*d^2/e^5*x^2+111/2*d/e^4*x^2-111/2/(e*x+d)^2*d^6/e^7-37/2/(e*x+d)^2*d^5/e^6-74/(e*x+d)^2*d^4/e^5+65/2/(e*x+d)^2*d^3/e^4-107/2/(e*x+d)^2*d^2/e^3+33/2/(e*x+d)^2*d/e^2+1665*d^4/e^7*ln(e*x+d)+370*d^3/e^6*ln(e*x+d)+888*d^2/e^5*ln(e*x+d)-195*d/e^4*ln(e*x+d)","A"
303,1,558,349,0.014000," ","int((5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^4,x)","\frac{20 x^{5}}{e^{4}}-\frac{100 d \,x^{4}}{e^{5}}-\frac{45 x^{4}}{4 e^{4}}-\frac{100 d^{8}}{3 \left(e x +d \right)^{3} e^{9}}-\frac{15 d^{7}}{\left(e x +d \right)^{3} e^{8}}-\frac{37 d^{6}}{\left(e x +d \right)^{3} e^{7}}-\frac{37 d^{5}}{3 \left(e x +d \right)^{3} e^{6}}-\frac{148 d^{4}}{3 \left(e x +d \right)^{3} e^{5}}+\frac{65 d^{3}}{3 \left(e x +d \right)^{3} e^{4}}-\frac{107 d^{2}}{3 \left(e x +d \right)^{3} e^{3}}+\frac{1000 d^{2} x^{3}}{3 e^{6}}+\frac{11 d}{\left(e x +d \right)^{3} e^{2}}+\frac{60 d \,x^{3}}{e^{5}}-\frac{6}{\left(e x +d \right)^{3} e}+\frac{37 x^{3}}{e^{4}}+\frac{400 d^{7}}{\left(e x +d \right)^{2} e^{9}}+\frac{315 d^{6}}{2 \left(e x +d \right)^{2} e^{8}}+\frac{333 d^{5}}{\left(e x +d \right)^{2} e^{7}}+\frac{185 d^{4}}{2 \left(e x +d \right)^{2} e^{6}}+\frac{296 d^{3}}{\left(e x +d \right)^{2} e^{5}}-\frac{1000 d^{3} x^{2}}{e^{7}}-\frac{195 d^{2}}{2 \left(e x +d \right)^{2} e^{4}}-\frac{225 d^{2} x^{2}}{e^{6}}+\frac{107 d}{\left(e x +d \right)^{2} e^{3}}-\frac{222 d \,x^{2}}{e^{5}}-\frac{33}{2 \left(e x +d \right)^{2} e^{2}}-\frac{37 x^{2}}{2 e^{4}}-\frac{2800 d^{6}}{\left(e x +d \right) e^{9}}-\frac{945 d^{5}}{\left(e x +d \right) e^{8}}-\frac{5600 d^{5} \ln \left(e x +d \right)}{e^{9}}-\frac{1665 d^{4}}{\left(e x +d \right) e^{7}}+\frac{3500 d^{4} x}{e^{8}}-\frac{1575 d^{4} \ln \left(e x +d \right)}{e^{8}}-\frac{370 d^{3}}{\left(e x +d \right) e^{6}}+\frac{900 d^{3} x}{e^{7}}-\frac{2220 d^{3} \ln \left(e x +d \right)}{e^{7}}-\frac{888 d^{2}}{\left(e x +d \right) e^{5}}+\frac{1110 d^{2} x}{e^{6}}-\frac{370 d^{2} \ln \left(e x +d \right)}{e^{6}}+\frac{195 d}{\left(e x +d \right) e^{4}}+\frac{148 d x}{e^{5}}-\frac{592 d \ln \left(e x +d \right)}{e^{5}}-\frac{107}{\left(e x +d \right) e^{3}}+\frac{148 x}{e^{4}}+\frac{65 \ln \left(e x +d \right)}{e^{4}}"," ",0,"20*x^5/e^4-107/e^3/(e*x+d)-6/e/(e*x+d)^3+65/e^4*ln(e*x+d)-33/2/e^2/(e*x+d)^2+37/e^4*x^3-37/2/e^4*x^2+148/e^4*x-45/4/e^4*x^4-37/3/e^6/(e*x+d)^3*d^5-148/3/e^5/(e*x+d)^3*d^4+65/3/e^4/(e*x+d)^3*d^3-107/3/e^3/(e*x+d)^3*d^2+11/e^2/(e*x+d)^3*d-100/e^5*x^4*d+1000/3/e^6*x^3*d^2-5600/e^9*ln(e*x+d)*d^5-1575/e^8*ln(e*x+d)*d^4-2220/e^7*ln(e*x+d)*d^3-370/e^6*ln(e*x+d)*d^2-592/e^5*ln(e*x+d)*d+400/e^9/(e*x+d)^2*d^7+315/2/e^8/(e*x+d)^2*d^6+333/e^7/(e*x+d)^2*d^5+185/2/e^6/(e*x+d)^2*d^4+296/e^5/(e*x+d)^2*d^3-195/2/e^4/(e*x+d)^2*d^2+107/e^3/(e*x+d)^2*d+60/e^5*x^3*d-1000/e^7*x^2*d^3-225/e^6*x^2*d^2-222/e^5*x^2*d+3500/e^8*d^4*x+900/e^7*x*d^3+1110/e^6*x*d^2+148/e^5*x*d-2800/e^9/(e*x+d)*d^6-945/e^8/(e*x+d)*d^5-1665/e^7/(e*x+d)*d^4-370/e^6/(e*x+d)*d^3-888/e^5/(e*x+d)*d^2+195/e^4/(e*x+d)*d-100/3/e^9/(e*x+d)^3*d^8-15/e^8/(e*x+d)^3*d^7-37/e^7/(e*x+d)^3*d^6","A"
304,1,291,202,0.007000," ","int((e*x+d)^3*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x)","\frac{2 e^{3} x^{6}}{15}+\frac{12 d \,e^{2} x^{5}}{25}-\frac{33 e^{3} x^{5}}{125}+\frac{3 d^{2} e \,x^{4}}{5}-\frac{99 d \,e^{2} x^{4}}{100}+\frac{81 e^{3} x^{4}}{500}+\frac{4 d^{3} x^{3}}{15}-\frac{33 d^{2} e \,x^{3}}{25}+\frac{81 d \,e^{2} x^{3}}{125}+\frac{458 e^{3} x^{3}}{1875}-\frac{33 d^{3} x^{2}}{50}+\frac{243 d^{2} e \,x^{2}}{250}+\frac{687 d \,e^{2} x^{2}}{625}-\frac{881 e^{3} x^{2}}{6250}+\frac{81 d^{3} x}{125}-\frac{423 \sqrt{14}\, d^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{8750}+\frac{229 d^{3} \ln \left(5 x^{2}+2 x +3\right)}{625}+\frac{1374 d^{2} e x}{625}-\frac{17967 \sqrt{14}\, d^{2} e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{43750}-\frac{2643 d^{2} e \ln \left(5 x^{2}+2 x +3\right)}{6250}-\frac{2643 d \,e^{2} x}{3125}+\frac{54969 \sqrt{14}\, d \,e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{218750}-\frac{7662 d \,e^{2} \ln \left(5 x^{2}+2 x +3\right)}{15625}-\frac{5108 e^{3} x}{15625}+\frac{53189 \sqrt{14}\, e^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{1093750}+\frac{23431 e^{3} \ln \left(5 x^{2}+2 x +3\right)}{156250}"," ",0,"-881/6250*e^3*x^2+2/15*e^3*x^6+81/500*e^3*x^4-17967/43750*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^2*e+54969/218750*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d*e^2+4/15*x^3*d^3-5108/15625*x*e^3-33/125*x^5*e^3-33/50*x^2*d^3+458/1875*x^3*e^3+229/625*ln(5*x^2+2*x+3)*d^3+23431/156250*ln(5*x^2+2*x+3)*e^3+81/125*d^3*x-2643/3125*x*d*e^2-423/8750*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^3+53189/1093750*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e^3+3/5*x^4*d^2*e-99/100*x^4*d*e^2-33/25*x^3*d^2*e+687/625*x^2*d*e^2+1374/625*x*d^2*e+81/125*x^3*d*e^2+243/250*x^2*d^2*e-7662/15625*ln(5*x^2+2*x+3)*d*e^2+12/25*x^5*d*e^2-2643/6250*ln(5*x^2+2*x+3)*d^2*e","A"
305,1,191,139,0.006000," ","int((e*x+d)^2*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x)","\frac{4 e^{2} x^{5}}{25}+\frac{2 d e \,x^{4}}{5}-\frac{33 e^{2} x^{4}}{100}+\frac{4 d^{2} x^{3}}{15}-\frac{22 d e \,x^{3}}{25}+\frac{27 e^{2} x^{3}}{125}-\frac{33 d^{2} x^{2}}{50}+\frac{81 d e \,x^{2}}{125}+\frac{229 e^{2} x^{2}}{625}+\frac{81 d^{2} x}{125}-\frac{423 \sqrt{14}\, d^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{8750}+\frac{229 d^{2} \ln \left(5 x^{2}+2 x +3\right)}{625}+\frac{916 d e x}{625}-\frac{5989 \sqrt{14}\, d e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21875}-\frac{881 d e \ln \left(5 x^{2}+2 x +3\right)}{3125}-\frac{881 e^{2} x}{3125}+\frac{18323 \sqrt{14}\, e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{218750}-\frac{2554 e^{2} \ln \left(5 x^{2}+2 x +3\right)}{15625}"," ",0,"4/25*e^2*x^5+2/5*x^4*d*e-33/100*x^4*e^2+4/15*x^3*d^2-22/25*x^3*d*e+27/125*e^2*x^3-33/50*x^2*d^2+81/125*x^2*d*e+229/625*x^2*e^2+81/125*d^2*x+916/625*x*d*e-881/3125*e^2*x+229/625*ln(5*x^2+2*x+3)*d^2-881/3125*ln(5*x^2+2*x+3)*d*e-2554/15625*ln(5*x^2+2*x+3)*e^2-423/8750*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^2-5989/21875*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d*e+18323/218750*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e^2","A"
306,1,102,84,0.005000," ","int((e*x+d)*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x)","\frac{e \,x^{4}}{5}+\frac{4 d \,x^{3}}{15}-\frac{11 e \,x^{3}}{25}-\frac{33 d \,x^{2}}{50}+\frac{81 e \,x^{2}}{250}+\frac{81 d x}{125}-\frac{423 \sqrt{14}\, d \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{8750}+\frac{229 d \ln \left(5 x^{2}+2 x +3\right)}{625}+\frac{458 e x}{625}-\frac{5989 \sqrt{14}\, e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{43750}-\frac{881 e \ln \left(5 x^{2}+2 x +3\right)}{6250}"," ",0,"1/5*e*x^4+4/15*x^3*d-11/25*x^3*e-33/50*x^2*d+81/250*e*x^2+81/125*d*x+458/625*e*x+229/625*ln(5*x^2+2*x+3)*d-881/6250*e*ln(5*x^2+2*x+3)-423/8750*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d-5989/43750*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e","A"
307,1,44,43,0.003000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x)","\frac{4 x^{3}}{15}-\frac{33 x^{2}}{50}+\frac{81 x}{125}-\frac{423 \sqrt{14}\, \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{8750}+\frac{229 \ln \left(5 x^{2}+2 x +3\right)}{625}"," ",0,"4/15*x^3-33/50*x^2+81/125*x+229/625*ln(5*x^2+2*x+3)-423/8750*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))","A"
308,1,298,157,0.012000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)/(5*x^2+2*x+3),x)","\frac{4 d^{4} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right) e^{3}}+\frac{5 d^{3} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right) e^{2}}+\frac{3 d^{2} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right) e}-\frac{423 \sqrt{14}\, d \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{70 \left(125 d^{2}-50 d e +75 e^{2}\right)}-\frac{d \ln \left(e x +d \right)}{5 d^{2}-2 d e +3 e^{2}}+\frac{229 d \ln \left(5 x^{2}+2 x +3\right)}{5 \left(125 d^{2}-50 d e +75 e^{2}\right)}+\frac{1367 \sqrt{14}\, e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{70 \left(125 d^{2}-50 d e +75 e^{2}\right)}+\frac{2 e \ln \left(e x +d \right)}{5 d^{2}-2 d e +3 e^{2}}-\frac{7 e \ln \left(5 x^{2}+2 x +3\right)}{10 \left(125 d^{2}-50 d e +75 e^{2}\right)}+\frac{2 x^{2}}{5 e}-\frac{4 d x}{5 e^{2}}-\frac{33 x}{25 e}"," ",0,"2/5/e*x^2-4/5*d/e^2*x-33/25/e*x+229/5/(125*d^2-50*d*e+75*e^2)*ln(5*x^2+2*x+3)*d-7/10/(125*d^2-50*d*e+75*e^2)*ln(5*x^2+2*x+3)*e-423/70/(125*d^2-50*d*e+75*e^2)*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d+1367/70/(125*d^2-50*d*e+75*e^2)*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e+4/e^3/(5*d^2-2*d*e+3*e^2)*ln(e*x+d)*d^4+5/e^2/(5*d^2-2*d*e+3*e^2)*ln(e*x+d)*d^3+3/e/(5*d^2-2*d*e+3*e^2)*ln(e*x+d)*d^2-1/(5*d^2-2*d*e+3*e^2)*ln(e*x+d)*d+2*e/(5*d^2-2*d*e+3*e^2)*ln(e*x+d)","A"
309,1,538,222,0.016000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^2/(5*x^2+2*x+3),x)","-\frac{40 d^{5} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} e^{3}}-\frac{d^{4} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} e^{2}}-\frac{28 d^{3} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} e}-\frac{423 \sqrt{14}\, d^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{350 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{44 d^{2} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}+\frac{229 d^{2} \ln \left(5 x^{2}+2 x +3\right)}{25 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}+\frac{1367 \sqrt{14}\, d e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{175 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}+\frac{2 d e \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{7 d e \ln \left(5 x^{2}+2 x +3\right)}{25 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{293 \sqrt{14}\, e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{350 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{e^{2} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{136 e^{2} \ln \left(5 x^{2}+2 x +3\right)}{25 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{4 d^{4}}{\left(5 d^{2}-2 d e +3 e^{2}\right) \left(e x +d \right) e^{3}}-\frac{5 d^{3}}{\left(5 d^{2}-2 d e +3 e^{2}\right) \left(e x +d \right) e^{2}}-\frac{3 d^{2}}{\left(5 d^{2}-2 d e +3 e^{2}\right) \left(e x +d \right) e}+\frac{d}{\left(5 d^{2}-2 d e +3 e^{2}\right) \left(e x +d \right)}-\frac{2 e}{\left(5 d^{2}-2 d e +3 e^{2}\right) \left(e x +d \right)}+\frac{4 x}{5 e^{2}}"," ",0,"4/5/e^2*x+229/25/(5*d^2-2*d*e+3*e^2)^2*ln(5*x^2+2*x+3)*d^2-7/25/(5*d^2-2*d*e+3*e^2)^2*ln(5*x^2+2*x+3)*d*e-136/25/(5*d^2-2*d*e+3*e^2)^2*ln(5*x^2+2*x+3)*e^2-423/350/(5*d^2-2*d*e+3*e^2)^2*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^2+1367/175/(5*d^2-2*d*e+3*e^2)^2*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d*e-293/350/(5*d^2-2*d*e+3*e^2)^2*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e^2-4/e^3/(5*d^2-2*d*e+3*e^2)/(e*x+d)*d^4-5/e^2/(5*d^2-2*d*e+3*e^2)/(e*x+d)*d^3-3/e/(5*d^2-2*d*e+3*e^2)/(e*x+d)*d^2+1/(5*d^2-2*d*e+3*e^2)/(e*x+d)*d-2*e/(5*d^2-2*d*e+3*e^2)/(e*x+d)-40/e^3/(5*d^2-2*d*e+3*e^2)^2*ln(e*x+d)*d^5-1/e^2/(5*d^2-2*d*e+3*e^2)^2*ln(e*x+d)*d^4-28/e/(5*d^2-2*d*e+3*e^2)^2*ln(e*x+d)*d^3-44/(5*d^2-2*d*e+3*e^2)^2*ln(e*x+d)*d^2+2*e/(5*d^2-2*d*e+3*e^2)^2*ln(e*x+d)*d-e^2/(5*d^2-2*d*e+3*e^2)^2*ln(e*x+d)","B"
310,1,819,307,0.015000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^3/(5*x^2+2*x+3),x)","\frac{100 d^{6} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} e^{3}}-\frac{120 d^{5} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} e^{2}}+\frac{228 d^{4} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} e}-\frac{423 \sqrt{14}\, d^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{70 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{242 d^{3} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{229 d^{3} \ln \left(5 x^{2}+2 x +3\right)}{5 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{4101 \sqrt{14}\, d^{2} e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{70 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{141 d^{2} e \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{21 d^{2} e \ln \left(5 x^{2}+2 x +3\right)}{10 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{879 \sqrt{14}\, d \,e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{70 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{120 d \,e^{2} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{408 d \,e^{2} \ln \left(5 x^{2}+2 x +3\right)}{5 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{703 \sqrt{14}\, e^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{70 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{e^{3} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{113 e^{3} \ln \left(5 x^{2}+2 x +3\right)}{10 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{40 d^{5}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right) e^{3}}+\frac{d^{4}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right) e^{2}}+\frac{28 d^{3}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right) e}+\frac{44 d^{2}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)}-\frac{2 d e}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)}+\frac{e^{2}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)}-\frac{2 d^{4}}{\left(5 d^{2}-2 d e +3 e^{2}\right) \left(e x +d \right)^{2} e^{3}}-\frac{5 d^{3}}{2 \left(5 d^{2}-2 d e +3 e^{2}\right) \left(e x +d \right)^{2} e^{2}}-\frac{3 d^{2}}{2 \left(5 d^{2}-2 d e +3 e^{2}\right) \left(e x +d \right)^{2} e}+\frac{d}{2 \left(5 d^{2}-2 d e +3 e^{2}\right) \left(e x +d \right)^{2}}-\frac{e}{\left(5 d^{2}-2 d e +3 e^{2}\right) \left(e x +d \right)^{2}}"," ",0,"-423/70/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^3-703/70/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e^3-2/e^3/(5*d^2-2*d*e+3*e^2)/(e*x+d)^2*d^4-5/2/e^2/(5*d^2-2*d*e+3*e^2)/(e*x+d)^2*d^3-3/2/e/(5*d^2-2*d*e+3*e^2)/(e*x+d)^2*d^2+40/e^3/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)*d^5+1/e^2/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)*d^4-2*e/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)*d-21/10/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d^2*e-408/5/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d*e^2+120/(5*d^2-2*d*e+3*e^2)^3*e^2*ln(e*x+d)*d+100/(5*d^2-2*d*e+3*e^2)^3/e^3*ln(e*x+d)*d^6-120/(5*d^2-2*d*e+3*e^2)^3/e^2*ln(e*x+d)*d^5+228/(5*d^2-2*d*e+3*e^2)^3/e*ln(e*x+d)*d^4+141/(5*d^2-2*d*e+3*e^2)^3*e*ln(e*x+d)*d^2+28/e/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)*d^3+44/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)*d^2+1/2/(5*d^2-2*d*e+3*e^2)/(e*x+d)^2*d-e/(5*d^2-2*d*e+3*e^2)/(e*x+d)^2+e^2/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)-242/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)*d^3-1/(5*d^2-2*d*e+3*e^2)^3*e^3*ln(e*x+d)+229/5/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d^3+113/10/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*e^3+4101/70/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^2*e-879/70/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d*e^2","B"
311,1,283,172,0.016000," ","int((e*x+d)^3*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x)","\frac{e^{3} x^{4}}{25}+\frac{4 d \,e^{2} x^{3}}{25}-\frac{41 e^{3} x^{3}}{375}+\frac{6 d^{2} e \,x^{2}}{25}-\frac{123 d \,e^{2} x^{2}}{250}+\frac{103 e^{3} x^{2}}{1250}+\frac{4 d^{3} x}{25}+\frac{1313 \sqrt{14}\, d^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{49000}-\frac{41 d^{3} \ln \left(5 x^{2}+2 x +3\right)}{250}-\frac{123 d^{2} e x}{125}+\frac{63513 \sqrt{14}\, d^{2} e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{245000}+\frac{309 d^{2} e \ln \left(5 x^{2}+2 x +3\right)}{1250}+\frac{309 d \,e^{2} x}{625}-\frac{221643 \sqrt{14}\, d \,e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{1225000}+\frac{2601 d \,e^{2} \ln \left(5 x^{2}+2 x +3\right)}{6250}+\frac{867 e^{3} x}{3125}-\frac{67499 \sqrt{14}\, e^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{1225000}-\frac{416 e^{3} \ln \left(5 x^{2}+2 x +3\right)}{3125}-\frac{\frac{6835 d^{3}}{28}-\frac{3807 d^{2} e}{28}-\frac{53901 d \,e^{2}}{140}+\frac{54969 e^{3}}{700}+\left(\frac{2115}{28} d^{3}+\frac{17967}{28} d^{2} e -\frac{54969}{140} d \,e^{2}-\frac{53189}{700} e^{3}\right) x}{3125 \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}"," ",0,"1/25*e^3*x^4+4/25*d*e^2*x^3-41/375*e^3*x^3+6/25*d^2*e*x^2-123/250*d*e^2*x^2+103/1250*e^3*x^2+4/25*d^3*x-123/125*d^2*e*x+309/625*d*e^2*x+867/3125*e^3*x-1/3125*((2115/28*d^3+17967/28*d^2*e-54969/140*d*e^2-53189/700*e^3)*x+6835/28*d^3-3807/28*d^2*e-53901/140*d*e^2+54969/700*e^3)/(x^2+2/5*x+3/5)-41/250*d^3*ln(5*x^2+2*x+3)+309/1250*d^2*e*ln(5*x^2+2*x+3)+2601/6250*d*e^2*ln(5*x^2+2*x+3)-416/3125*e^3*ln(5*x^2+2*x+3)+1313/49000*14^(1/2)*d^3*arctan(1/28*(10*x+2)*14^(1/2))+63513/245000*14^(1/2)*d^2*e*arctan(1/28*(10*x+2)*14^(1/2))-221643/1225000*14^(1/2)*d*e^2*arctan(1/28*(10*x+2)*14^(1/2))-67499/1225000*14^(1/2)*e^3*arctan(1/28*(10*x+2)*14^(1/2))","A"
312,1,189,125,0.012000," ","int((e*x+d)^2*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x)","\frac{4 e^{2} x^{3}}{75}+\frac{4 d e \,x^{2}}{25}-\frac{41 e^{2} x^{2}}{250}+\frac{4 d^{2} x}{25}+\frac{1313 \sqrt{14}\, d^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{49000}-\frac{41 d^{2} \ln \left(5 x^{2}+2 x +3\right)}{250}-\frac{82 d e x}{125}+\frac{21171 \sqrt{14}\, d e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{122500}+\frac{103 d e \ln \left(5 x^{2}+2 x +3\right)}{625}+\frac{103 e^{2} x}{625}-\frac{73881 \sqrt{14}\, e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{1225000}+\frac{867 e^{2} \ln \left(5 x^{2}+2 x +3\right)}{6250}-\frac{\frac{1367 d^{2}}{28}-\frac{1269 d e}{70}-\frac{17967 e^{2}}{700}+\left(\frac{423}{28} d^{2}+\frac{5989}{70} d e -\frac{18323}{700} e^{2}\right) x}{625 \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}"," ",0,"4/75*e^2*x^3+4/25*d*e*x^2-41/250*e^2*x^2+4/25*d^2*x-82/125*d*e*x+103/625*e^2*x-1/625*((423/28*d^2+5989/70*d*e-18323/700*e^2)*x+1367/28*d^2-1269/70*d*e-17967/700*e^2)/(x^2+2/5*x+3/5)-41/250*d^2*ln(5*x^2+2*x+3)+103/625*d*e*ln(5*x^2+2*x+3)+867/6250*e^2*ln(5*x^2+2*x+3)+1313/49000*14^(1/2)*d^2*arctan(1/28*(10*x+2)*14^(1/2))+21171/122500*14^(1/2)*d*e*arctan(1/28*(10*x+2)*14^(1/2))-73881/1225000*14^(1/2)*e^2*arctan(1/28*(10*x+2)*14^(1/2))","A"
313,1,106,84,0.010000," ","int((e*x+d)*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x)","\frac{2 e \,x^{2}}{25}+\frac{4 d x}{25}+\frac{1313 \sqrt{14}\, d \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{49000}-\frac{41 d \ln \left(5 x^{2}+2 x +3\right)}{250}-\frac{41 e x}{125}+\frac{21171 \sqrt{14}\, e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{245000}+\frac{103 e \ln \left(5 x^{2}+2 x +3\right)}{1250}-\frac{\frac{1367 d}{140}-\frac{1269 e}{700}+\left(\frac{423 d}{140}+\frac{5989 e}{700}\right) x}{125 \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}"," ",0,"2/25*e*x^2+4/25*d*x-41/125*e*x-1/125*((423/140*d+5989/700*e)*x+1367/140*d-1269/700*e)/(x^2+2/5*x+3/5)-41/250*d*ln(5*x^2+2*x+3)+103/1250*e*ln(5*x^2+2*x+3)+1313/49000*14^(1/2)*d*arctan(1/28*(10*x+2)*14^(1/2))+21171/245000*14^(1/2)*e*arctan(1/28*(10*x+2)*14^(1/2))","A"
314,1,51,52,0.007000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x)","\frac{4 x}{25}+\frac{1313 \sqrt{14}\, \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{49000}-\frac{41 \ln \left(5 x^{2}+2 x +3\right)}{250}-\frac{\frac{423 x}{700}+\frac{1367}{700}}{25 \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}"," ",0,"4/25*x-1/25*(423/700*x+1367/700)/(x^2+2/5*x+3/5)-41/250*ln(5*x^2+2*x+3)+1313/49000*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))","A"
315,1,691,216,0.020000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)/(5*x^2+2*x+3)^2,x)","\frac{4 d^{4} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} e}-\frac{423 d^{3} x}{700 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{1313 \sqrt{14}\, d^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{1960 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}+\frac{5 d^{3} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{41 d^{3} \ln \left(5 x^{2}+2 x +3\right)}{10 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}+\frac{7681 d^{2} e x}{3500 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{26423 \sqrt{14}\, d^{2} e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{9800 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}+\frac{3 d^{2} e \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}+\frac{61 d^{2} e \ln \left(5 x^{2}+2 x +3\right)}{50 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{4003 d \,e^{2} x}{3500 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{11089 \sqrt{14}\, d \,e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{9800 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{d \,e^{2} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{23 d \,e^{2} \ln \left(5 x^{2}+2 x +3\right)}{50 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}+\frac{4101 e^{3} x}{3500 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{6623 \sqrt{14}\, e^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{9800 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}+\frac{2 e^{3} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{7 e^{3} \ln \left(5 x^{2}+2 x +3\right)}{25 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2}}-\frac{1367 d^{3}}{700 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{4199 d^{2} e}{3500 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{4687 d \,e^{2}}{3500 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{879 e^{3}}{3500 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}"," ",0,"-423/700/(5*d^2-2*d*e+3*e^2)^2/(x^2+2/5*x+3/5)*d^3*x+7681/3500/(5*d^2-2*d*e+3*e^2)^2/(x^2+2/5*x+3/5)*x*d^2*e-4003/3500/(5*d^2-2*d*e+3*e^2)^2/(x^2+2/5*x+3/5)*x*d*e^2+4101/3500/(5*d^2-2*d*e+3*e^2)^2/(x^2+2/5*x+3/5)*x*e^3-1367/700/(5*d^2-2*d*e+3*e^2)^2/(x^2+2/5*x+3/5)*d^3+4199/3500/(5*d^2-2*d*e+3*e^2)^2/(x^2+2/5*x+3/5)*d^2*e-4687/3500/(5*d^2-2*d*e+3*e^2)^2/(x^2+2/5*x+3/5)*d*e^2+879/3500/(5*d^2-2*d*e+3*e^2)^2/(x^2+2/5*x+3/5)*e^3-41/10/(5*d^2-2*d*e+3*e^2)^2*ln(5*x^2+2*x+3)*d^3+61/50/(5*d^2-2*d*e+3*e^2)^2*ln(5*x^2+2*x+3)*d^2*e-23/50/(5*d^2-2*d*e+3*e^2)^2*ln(5*x^2+2*x+3)*d*e^2-7/25/(5*d^2-2*d*e+3*e^2)^2*ln(5*x^2+2*x+3)*e^3+1313/1960/(5*d^2-2*d*e+3*e^2)^2*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^3-26423/9800/(5*d^2-2*d*e+3*e^2)^2*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^2*e+11089/9800/(5*d^2-2*d*e+3*e^2)^2*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d*e^2-6623/9800/(5*d^2-2*d*e+3*e^2)^2*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e^3+4/(5*d^2-2*d*e+3*e^2)^2/e*ln(e*x+d)*d^4+5/(5*d^2-2*d*e+3*e^2)^2*ln(e*x+d)*d^3+3/(5*d^2-2*d*e+3*e^2)^2*e*ln(e*x+d)*d^2-1/(5*d^2-2*d*e+3*e^2)^2*e^2*ln(e*x+d)*d+2/(5*d^2-2*d*e+3*e^2)^2*e^3*ln(e*x+d)","B"
316,1,986,303,0.023000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^2/(5*x^2+2*x+3)^2,x)","-\frac{423 d^{4} x}{140 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{1313 \sqrt{14}\, d^{4} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{392 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{41 d^{4} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{41 d^{4} \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{3629 d^{3} e x}{175 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{2511 \sqrt{14}\, d^{3} e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{98 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{8 d^{3} e \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{4 d^{3} e \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{4101 d^{2} e^{2} x}{350 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{2145 \sqrt{14}\, d^{2} e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{196 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{60 d^{2} e^{2} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{30 d^{2} e^{2} \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{2197 d \,e^{3} x}{175 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{39 \sqrt{14}\, d \,e^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{98 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{24 d \,e^{3} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{12 d \,e^{3} \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{879 e^{4} x}{700 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{271 \sqrt{14}\, e^{4} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{392 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{5 e^{4} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{5 e^{4} \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{1367 d^{4}}{140 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{1416 d^{3} e}{175 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{879 d^{2} e^{2}}{350 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{88 d \,e^{3}}{175 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{2109 e^{4}}{700 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{4 d^{4}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right) e}-\frac{5 d^{3}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)}-\frac{3 d^{2} e}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)}+\frac{d \,e^{2}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)}-\frac{2 e^{3}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)}"," ",0,"1/(5*d^2-2*d*e+3*e^2)^2*e^2/(e*x+d)*d-8/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)*d^3*e-60/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)*d^2*e^2+24/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)*d*e^3-423/140/(5*d^2-2*d*e+3*e^2)^3/(x^2+2/5*x+3/5)*d^4*x-879/700/(5*d^2-2*d*e+3*e^2)^3/(x^2+2/5*x+3/5)*x*e^4+1416/175/(5*d^2-2*d*e+3*e^2)^3/(x^2+2/5*x+3/5)*d^3*e-879/350/(5*d^2-2*d*e+3*e^2)^3/(x^2+2/5*x+3/5)*d^2*e^2+88/175/(5*d^2-2*d*e+3*e^2)^3/(x^2+2/5*x+3/5)*d*e^3+4/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d^3*e+30/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d^2*e^2-12/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d*e^3+1313/392/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^4-271/392/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e^4-4/(5*d^2-2*d*e+3*e^2)^2/e/(e*x+d)*d^4-3/(5*d^2-2*d*e+3*e^2)^2*e/(e*x+d)*d^2-5/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)*d^3-1367/140/(5*d^2-2*d*e+3*e^2)^3/(x^2+2/5*x+3/5)*d^4+2109/700/(5*d^2-2*d*e+3*e^2)^3/(x^2+2/5*x+3/5)*e^4-41/2/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d^4+5/2/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*e^4-2/(5*d^2-2*d*e+3*e^2)^2*e^3/(e*x+d)+41/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)*d^4-5/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)*e^4+3629/175/(5*d^2-2*d*e+3*e^2)^3/(x^2+2/5*x+3/5)*x*d^3*e-4101/350/(5*d^2-2*d*e+3*e^2)^3/(x^2+2/5*x+3/5)*x*d^2*e^2+2197/175/(5*d^2-2*d*e+3*e^2)^3/(x^2+2/5*x+3/5)*x*d*e^3-2511/98/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^3*e+2145/196/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^2*e^2+39/98/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d*e^3","B"
317,1,1314,400,0.027000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^3/(5*x^2+2*x+3)^2,x)","-\frac{423 d^{5} x}{28 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{6565 \sqrt{14}\, d^{5} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{392 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{205 d^{5} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{205 d^{5} \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{21351 d^{4} e x}{140 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{74017 \sqrt{14}\, d^{4} e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{392 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{19 d^{4} e \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{19 d^{4} e \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{6933 d^{3} e^{2} x}{70 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{17511 \sqrt{14}\, d^{3} e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{196 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{846 d^{3} e^{2} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{423 d^{3} e^{2} \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{5273 d^{2} e^{3} x}{70 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{21429 \sqrt{14}\, d^{2} e^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{196 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{396 d^{2} e^{3} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{198 d^{2} e^{3} \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{1231 d \,e^{4} x}{140 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{17247 \sqrt{14}\, d \,e^{4} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{392 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{57 d \,e^{4} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{57 d \,e^{4} \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{2109 e^{5} x}{140 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{579 \sqrt{14}\, e^{5} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{392 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{21 e^{5} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{21 e^{5} \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{1367 d^{5}}{28 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{7129 d^{4} e}{140 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{2343 d^{3} e^{2}}{70 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{1933 d^{2} e^{3}}{70 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}+\frac{7241 d \,e^{4}}{140 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{1371 e^{5}}{140 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(x^{2}+\frac{2}{5} x +\frac{3}{5}\right)}-\frac{41 d^{4}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(e x +d \right)}+\frac{8 d^{3} e}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(e x +d \right)}+\frac{60 d^{2} e^{2}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(e x +d \right)}-\frac{24 d \,e^{3}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(e x +d \right)}+\frac{5 e^{4}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(e x +d \right)}-\frac{2 d^{4}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)^{2} e}-\frac{5 d^{3}}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)^{2}}-\frac{3 d^{2} e}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)^{2}}+\frac{d \,e^{2}}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)^{2}}-\frac{e^{3}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{2} \left(e x +d \right)^{2}}"," ",0,"-3/2/(5*d^2-2*d*e+3*e^2)^2*e/(e*x+d)^2*d^2+1/2/(5*d^2-2*d*e+3*e^2)^2*e^2/(e*x+d)^2*d+8/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)*d^3*e+60/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)*d^2*e^2-24/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)*d*e^3-19/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*d^4*e-846/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*d^3*e^2+396/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*d^2*e^3+57/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*d*e^4-423/28/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*x*d^5-2109/140/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*x*e^5+7129/140/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*d^4*e+2343/70/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*d^3*e^2-1933/70/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*d^2*e^3+7241/140/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*d*e^4+19/2/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*d^4*e+423/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*d^3*e^2-198/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*d^2*e^3-57/2/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*d*e^4+6565/392/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^5+579/392/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e^5-2/(5*d^2-2*d*e+3*e^2)^2/e/(e*x+d)^2*d^4-5/2/(5*d^2-2*d*e+3*e^2)^2/(e*x+d)^2*d^3+205/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*d^5-21/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*e^5-1367/28/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*d^5-1371/140/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*e^5-205/2/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*d^5+21/2/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*e^5-1/(5*d^2-2*d*e+3*e^2)^2*e^3/(e*x+d)^2-41/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)*d^4+5/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)*e^4+21429/196/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^2*e^3-17247/392/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d*e^4+21351/140/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*x*d^4*e-6933/70/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*x*d^3*e^2+5273/70/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*x*d^2*e^3-1231/140/(5*d^2-2*d*e+3*e^2)^4/(x^2+2/5*x+3/5)*x*d*e^4-74017/392/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^4*e+17511/196/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^3*e^2","B"
318,1,267,153,0.015000," ","int((e*x+d)^3*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^3,x)","\frac{2 e^{3} x^{2}}{125}+\frac{339 \sqrt{14}\, d^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952}-\frac{102621 \sqrt{14}\, d^{2} e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{2744000}+\frac{6 d^{2} e \ln \left(5 x^{2}+2 x +3\right)}{125}+\frac{12 d \,e^{2} x}{125}+\frac{44451 \sqrt{14}\, d \,e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{13720000}-\frac{147 d \,e^{2} \ln \left(5 x^{2}+2 x +3\right)}{1250}-\frac{49 e^{3} x}{625}+\frac{1669047 \sqrt{14}\, e^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{68600000}+\frac{141 e^{3} \ln \left(5 x^{2}+2 x +3\right)}{6250}+\frac{\frac{12953 d^{3}}{1568}-\frac{58599 d^{2} e}{7840}-\frac{230931 d \,e^{2}}{7840}+\frac{1275957 e^{3}}{196000}+\left(\frac{11015}{1568} d^{3}+\frac{109059}{1568} d^{2} e -\frac{388317}{7840} d \,e^{2}-\frac{621801}{39200} e^{3}\right) x^{3}+\left(\frac{38753}{1568} d^{3}+\frac{84921}{7840} d^{2} e -\frac{640827}{7840} d \,e^{2}+\frac{1396037}{196000} e^{3}\right) x^{2}+\left(\frac{17979}{1568} d^{3}+\frac{173283}{7840} d^{2} e -\frac{73125}{1568} d \,e^{2}-\frac{511689}{196000} e^{3}\right) x}{25 \left(5 x^{2}+2 x +3\right)^{2}}"," ",0,"2/125*e^3*x^2+12/125*d*e^2*x-49/625*e^3*x+1/25*((11015/1568*d^3+109059/1568*d^2*e-388317/7840*d*e^2-621801/39200*e^3)*x^3+(38753/1568*d^3+84921/7840*d^2*e-640827/7840*d*e^2+1396037/196000*e^3)*x^2+(17979/1568*d^3+173283/7840*d^2*e-73125/1568*d*e^2-511689/196000*e^3)*x+12953/1568*d^3-58599/7840*d^2*e-230931/7840*d*e^2+1275957/196000*e^3)/(5*x^2+2*x+3)^2+6/125*d^2*e*ln(5*x^2+2*x+3)-147/1250*d*e^2*ln(5*x^2+2*x+3)+141/6250*e^3*ln(5*x^2+2*x+3)+339/21952*14^(1/2)*d^3*arctan(1/28*(10*x+2)*14^(1/2))-102621/2744000*14^(1/2)*d^2*e*arctan(1/28*(10*x+2)*14^(1/2))+44451/13720000*14^(1/2)*d*e^2*arctan(1/28*(10*x+2)*14^(1/2))+1669047/68600000*14^(1/2)*e^3*arctan(1/28*(10*x+2)*14^(1/2))","A"
319,1,179,121,0.013000," ","int((e*x+d)^2*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^3,x)","\frac{339 \sqrt{14}\, d^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952}-\frac{34207 \sqrt{14}\, d e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{1372000}+\frac{4 d e \ln \left(5 x^{2}+2 x +3\right)}{125}+\frac{4 e^{2} x}{125}+\frac{14817 \sqrt{14}\, e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{13720000}-\frac{49 e^{2} \ln \left(5 x^{2}+2 x +3\right)}{1250}+\frac{\left(\frac{2203}{1568} d^{2}+\frac{36353}{3920} d e -\frac{129439}{39200} e^{2}\right) x^{3}+\frac{12953 d^{2}}{7840}-\frac{19533 d e}{19600}-\frac{76977 e^{2}}{39200}+\left(\frac{38753}{7840} d^{2}+\frac{28307}{19600} d e -\frac{213609}{39200} e^{2}\right) x^{2}+\left(\frac{17979}{7840} d^{2}+\frac{57761}{19600} d e -\frac{4875}{1568} e^{2}\right) x}{5 \left(5 x^{2}+2 x +3\right)^{2}}"," ",0,"4/125*e^2*x+1/5*((2203/1568*d^2+36353/3920*d*e-129439/39200*e^2)*x^3+(38753/7840*d^2+28307/19600*d*e-213609/39200*e^2)*x^2+(17979/7840*d^2+57761/19600*d*e-4875/1568*e^2)*x+12953/7840*d^2-19533/19600*d*e-76977/39200*e^2)/(5*x^2+2*x+3)^2+4/125*d*e*ln(5*x^2+2*x+3)-49/1250*e^2*ln(5*x^2+2*x+3)+339/21952*14^(1/2)*d^2*arctan(1/28*(10*x+2)*14^(1/2))-34207/1372000*14^(1/2)*d*e*arctan(1/28*(10*x+2)*14^(1/2))+14817/13720000*14^(1/2)*e^2*arctan(1/28*(10*x+2)*14^(1/2))","A"
320,1,102,92,0.011000," ","int((e*x+d)*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^3,x)","\frac{339 \sqrt{14}\, d \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952}-\frac{34207 \sqrt{14}\, e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{2744000}+\frac{2 e \ln \left(5 x^{2}+2 x +3\right)}{125}+\frac{25 \left(\frac{2203 d}{196000}+\frac{36353 e}{980000}\right) x^{3}+25 \left(\frac{38753 d}{980000}+\frac{28307 e}{4900000}\right) x^{2}+\frac{12953 d}{39200}-\frac{19533 e}{196000}+25 \left(\frac{17979 d}{980000}+\frac{57761 e}{4900000}\right) x}{\left(5 x^{2}+2 x +3\right)^{2}}"," ",0,"25*((36353/980000*e+2203/196000*d)*x^3+(28307/4900000*e+38753/980000*d)*x^2+(57761/4900000*e+17979/980000*d)*x+12953/980000*d-19533/4900000*e)/(5*x^2+2*x+3)^2+2/125*e*ln(5*x^2+2*x+3)+339/21952*14^(1/2)*d*arctan(1/28*(10*x+2)*14^(1/2))-34207/2744000*14^(1/2)*e*arctan(1/28*(10*x+2)*14^(1/2))","A"
321,1,47,55,0.007000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^3,x)","\frac{339 \sqrt{14}\, \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952}+\frac{\frac{2203}{7840} x^{3}+\frac{38753}{39200} x^{2}+\frac{17979}{39200} x +\frac{12953}{39200}}{\left(5 x^{2}+2 x +3\right)^{2}}"," ",0,"25*(2203/196000*x^3+38753/980000*x^2+17979/980000*x+12953/980000)/(5*x^2+2*x+3)^2+339/21952*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))","A"
322,1,1437,319,0.025000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)/(5*x^2+2*x+3)^3,x)","\frac{55075 d^{5} x^{3}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{247855 d^{4} e \,x^{3}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{107125 d^{3} e^{2} x^{3}}{784 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{108785 d^{2} e^{3} x^{3}}{784 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{72815 d \,e^{4} x^{3}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{27435 e^{5} x^{3}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{193765 d^{5} x^{2}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{260825 d^{4} e \,x^{2}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{655359 d^{3} e^{2} x^{2}}{3920 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{388683 d^{2} e^{3} x^{2}}{3920 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{250589 d \,e^{4} x^{2}}{7840 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{49377 e^{5} x^{2}}{7840 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{89895 d^{5} x}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{42375 \sqrt{14}\, d^{5} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{165635 d^{4} e x}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{16643 \sqrt{14}\, d^{4} e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{4 d^{4} e \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{2 d^{4} e \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{380997 d^{3} e^{2} x}{3920 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{29265 \sqrt{14}\, d^{3} e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{10976 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{5 d^{3} e^{2} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{5 d^{3} e^{2} \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{250449 d^{2} e^{3} x}{3920 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{28029 \sqrt{14}\, d^{2} e^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{10976 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{3 d^{2} e^{3} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{3 d^{2} e^{3} \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{147247 d \,e^{4} x}{7840 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{31811 \sqrt{14}\, d \,e^{4} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{d \,e^{4} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{d \,e^{4} \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{11211 e^{5} x}{7840 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{8623 \sqrt{14}\, e^{5} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{2 e^{5} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}-\frac{e^{5} \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3}}+\frac{64765 d^{5}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{58185 d^{4} e}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{118119 d^{3} e^{2}}{3920 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{28843 d^{2} e^{3}}{3920 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{25611 d \,e^{4}}{7840 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{18063 e^{5}}{7840 \left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(5 x^{2}+2 x +3\right)^{2}}"," ",0,"5*e^2/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)*d^3+3*e^3/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)*d^2-e^4/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)*d+193765/1568/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^2*d^5-49377/7840/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^2*e^5+89895/1568/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x*d^5-11211/7840/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x*e^5-58185/1568/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*d^4*e+118119/3920/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*d^3*e^2-28843/3920/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*d^2*e^3-25611/7840/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*d*e^4-8623/21952/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e^5+42375/21952/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^5-5/2/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d^3*e^2-3/2/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d^2*e^3+1/2/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d*e^4-2/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*d^4*e+55075/1568/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^3*d^5-27435/1568/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^3*e^5+4*e/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)*d^4+64765/1568/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*d^5+18063/7840/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*e^5-1/(5*d^2-2*d*e+3*e^2)^3*ln(5*x^2+2*x+3)*e^5+2*e^5/(5*d^2-2*d*e+3*e^2)^3*ln(e*x+d)-260825/1568/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^2*d^4*e+655359/3920/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^2*d^3*e^2-388683/3920/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^2*d^2*e^3+250589/7840/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^2*d*e^4-165635/1568/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x*d^4*e+380997/3920/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x*d^3*e^2-250449/3920/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x*d^2*e^3+147247/7840/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x*d*e^4-16643/21952/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^4*e+29265/10976/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^3*e^2-28029/10976/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^2*e^3+31811/21952/(5*d^2-2*d*e+3*e^2)^3*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d*e^4-247855/1568/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^3*d^4*e-108785/784/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^3*d^2*e^3+107125/784/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^3*d^3*e^2+72815/1568/(5*d^2-2*d*e+3*e^2)^3/(5*x^2+2*x+3)^2*x^3*d*e^4","B"
323,1,1850,433,0.031000," ","int((4*x^4-5*x^3+3*x^2+x+2)/(e*x+d)^2/(5*x^2+2*x+3)^3,x)","\frac{275375 d^{6} x^{3}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{1129125 d^{5} e \,x^{3}}{784 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{1891915 d^{4} e^{2} x^{3}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{344285 d^{3} e^{3} x^{3}}{392 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{327265 d^{2} e^{4} x^{3}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{95555 d \,e^{5} x^{3}}{784 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{53835 e^{6} x^{3}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{968825 d^{6} x^{2}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{916595 d^{5} e \,x^{2}}{784 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{504029 d^{4} e^{2} x^{2}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{5109 d^{3} e^{3} x^{2}}{392 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{795401 d^{2} e^{4} x^{2}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{218053 d \,e^{5} x^{2}}{784 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{91101 e^{6} x^{2}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{449475 d^{6} x}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{211875 \sqrt{14}\, d^{6} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{648385 d^{5} e x}{784 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{1535 \sqrt{14}\, d^{5} e \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{10976 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{40 d^{5} e \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{20 d^{5} e \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{606287 d^{4} e^{2} x}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{209039 \sqrt{14}\, d^{4} e^{2} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{83 d^{4} e^{2} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{83 d^{4} e^{2} \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{3993 d^{3} e^{3} x}{392 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{230361 \sqrt{14}\, d^{3} e^{3} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{5488 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{12 d^{3} e^{3} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{6 d^{3} e^{3} \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{434995 d^{2} e^{4} x}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{380621 \sqrt{14}\, d^{2} e^{4} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{76 d^{2} e^{4} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{38 d^{2} e^{4} \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{208007 d \,e^{5} x}{784 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{24793 \sqrt{14}\, d \,e^{5} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{10976 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{46 d \,e^{5} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{23 d \,e^{5} \ln \left(5 x^{2}+2 x +3\right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{74895 e^{6} x}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{43695 \sqrt{14}\, e^{6} \arctan \left(\frac{\left(10 x +2\right) \sqrt{14}}{28}\right)}{21952 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}-\frac{9 e^{6} \ln \left(e x +d \right)}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{9 e^{6} \ln \left(5 x^{2}+2 x +3\right)}{2 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4}}+\frac{323825 d^{6}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{161395 d^{5} e}{784 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{379131 d^{4} e^{2}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{116869 d^{3} e^{3}}{392 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{530209 d^{2} e^{4}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}+\frac{99045 d \,e^{5}}{784 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{6309 e^{6}}{1568 \left(5 d^{2}-2 d e +3 e^{2}\right)^{4} \left(5 x^{2}+2 x +3\right)^{2}}-\frac{4 d^{4} e}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(e x +d \right)}-\frac{5 d^{3} e^{2}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(e x +d \right)}-\frac{3 d^{2} e^{3}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(e x +d \right)}+\frac{d \,e^{4}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(e x +d \right)}-\frac{2 e^{5}}{\left(5 d^{2}-2 d e +3 e^{2}\right)^{3} \left(e x +d \right)}"," ",0,"99045/784/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*d*e^5-161395/784/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*d^5*e-379131/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*d^4*e^2+116869/392/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*d^3*e^3-20/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*d^5*e-83/2/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*d^4*e^2-6/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*d^3*e^3+38/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*d^2*e^4-23/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*d*e^5+211875/21952/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^6-43695/21952/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*e^6+40*e/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*d^5+83*e^2/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*d^4+12*e^3/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*d^3-76*e^4/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*d^2+46*e^5/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)*d-4*e/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)*d^4-5*e^2/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)*d^3-3*e^3/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)*d^2+e^4/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)*d+968825/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^2*d^6+275375/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^3*d^6+449475/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*d^6*x-53835/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^3*e^6-91101/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^2*e^6-74895/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x*e^6-530209/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*d^2*e^4-648385/784/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x*d^5*e+218053/784/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^2*d*e^5-795401/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^2*d^2*e^4+95555/784/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^3*d*e^5-916595/784/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^2*d^5*e+504029/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^2*d^4*e^2+5109/392/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^2*d^3*e^3+1891915/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^3*d^4*e^2-344285/392/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^3*d^3*e^3+327265/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^3*d^2*e^4-1129125/784/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x^3*d^5*e-434995/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x*d^2*e^4+323825/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*d^6-6309/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*e^6+9/2/(5*d^2-2*d*e+3*e^2)^4*ln(5*x^2+2*x+3)*e^6-9*e^6/(5*d^2-2*d*e+3*e^2)^4*ln(e*x+d)-2*e^5/(5*d^2-2*d*e+3*e^2)^3/(e*x+d)+208007/784/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x*d*e^5+606287/1568/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x*d^4*e^2-3993/392/(5*d^2-2*d*e+3*e^2)^4/(5*x^2+2*x+3)^2*x*d^3*e^3+1535/10976/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^5*e+209039/21952/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^4*e^2-230361/5488/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^3*e^3+380621/21952/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d^2*e^4-24793/10976/(5*d^2-2*d*e+3*e^2)^4*14^(1/2)*arctan(1/28*(10*x+2)*14^(1/2))*d*e^5","B"
324,1,115,118,0.017000," ","int((5+2*x)*(5*x^4-x^3+3*x^2+x+2)*(2*x^2-x+3)^(1/2),x)","\frac{5 \left(2 x^{2}-x +3\right)^{\frac{3}{2}} x^{4}}{7}+\frac{377 \left(2 x^{2}-x +3\right)^{\frac{3}{2}} x^{3}}{168}+\frac{283 \left(2 x^{2}-x +3\right)^{\frac{3}{2}} x^{2}}{1120}-\frac{5179 \left(2 x^{2}-x +3\right)^{\frac{3}{2}} x}{17920}+\frac{1183005 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{131072}+\frac{51435 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{32768}+\frac{242329 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{215040}"," ",0,"5/7*x^4*(2*x^2-x+3)^(3/2)+377/168*x^3*(2*x^2-x+3)^(3/2)+283/1120*x^2*(2*x^2-x+3)^(3/2)-5179/17920*x*(2*x^2-x+3)^(3/2)+1183005/131072*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+51435/32768*(4*x-1)*(2*x^2-x+3)^(1/2)+242329/215040*(2*x^2-x+3)^(3/2)","A"
325,1,98,99,0.006000," ","int((5*x^4-x^3+3*x^2+x+2)*(2*x^2-x+3)^(1/2),x)","\frac{5 \left(2 x^{2}-x +3\right)^{\frac{3}{2}} x^{3}}{12}+\frac{7 \left(2 x^{2}-x +3\right)^{\frac{3}{2}} x^{2}}{80}-\frac{71 \left(2 x^{2}-x +3\right)^{\frac{3}{2}} x}{1280}+\frac{106007 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{65536}+\frac{287 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{5120}+\frac{4609 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{16384}"," ",0,"5/12*(2*x^2-x+3)^(3/2)*x^3+7/80*(2*x^2-x+3)^(3/2)*x^2-71/1280*(2*x^2-x+3)^(3/2)*x+287/5120*(2*x^2-x+3)^(3/2)+4609/16384*(4*x-1)*(2*x^2-x+3)^(1/2)+106007/65536*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","A"
326,1,127,118,0.010000," ","int((5*x^4-x^3+3*x^2+x+2)*(2*x^2-x+3)^(1/2)/(5+2*x),x)","\frac{\left(2 x^{2}-x +3\right)^{\frac{3}{2}} x^{2}}{4}-\frac{47 \left(2 x^{2}-x +3\right)^{\frac{3}{2}} x}{64}-\frac{5627989 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{16384}-\frac{11001 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{32}+\frac{1925 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{768}-\frac{20211 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{4096}+\frac{3667 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{32}"," ",0,"1/4*(2*x^2-x+3)^(3/2)*x^2-47/64*(2*x^2-x+3)^(3/2)*x+1925/768*(2*x^2-x+3)^(3/2)-20211/4096*(4*x-1)*(2*x^2-x+3)^(1/2)-5627989/16384*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+3667/32*(2*(x+5/2)^2-11*x-19/2)^(1/2)-11001/32*2^(1/2)*arctanh(1/12*(17/2-11*x)*2^(1/2)/(2*(x+5/2)^2-11*x-19/2)^(1/2))","A"
327,1,152,118,0.013000," ","int((5*x^4-x^3+3*x^2+x+2)*(2*x^2-x+3)^(1/2)/(5+2*x)^2,x)","\frac{5 \left(2 x^{2}-x +3\right)^{\frac{3}{2}} x}{32}+\frac{2551847 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{8192}+\frac{239201 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{768}-\frac{391 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{384}+\frac{6001 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{2048}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{1152 \left(x +\frac{5}{2}\right)}-\frac{239201 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{2304}+\frac{3667 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{2304}"," ",0,"5/32*(2*x^2-x+3)^(3/2)*x-391/384*(2*x^2-x+3)^(3/2)+6001/2048*(4*x-1)*(2*x^2-x+3)^(1/2)+2551847/8192*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))-3667/1152/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-239201/2304*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+239201/768*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))+3667/2304*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)","A"
328,1,158,120,0.015000," ","int((5*x^4-x^3+3*x^2+x+2)*(2*x^2-x+3)^(1/2)/(5+2*x)^3,x)","-\frac{117315 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{1024}-\frac{12670805 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{110592}+\frac{5 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{48}-\frac{149 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{256}+\frac{357391 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{165888 \left(x +\frac{5}{2}\right)}+\frac{12670805 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{331776}-\frac{357391 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{331776}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{4608 \left(x +\frac{5}{2}\right)^{2}}"," ",0,"5/48*(2*x^2-x+3)^(3/2)-149/256*(4*x-1)*(2*x^2-x+3)^(1/2)-117315/1024*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+357391/165888/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+12670805/331776*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-12670805/110592*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))-357391/331776*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3667/4608/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(3/2)","A"
329,1,165,127,0.013000," ","int((5*x^4-x^3+3*x^2+x+2)*(2*x^2-x+3)^(1/2)/(5+2*x)^4,x)","\frac{10939 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{512}+\frac{170114729 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{7962624}+\frac{5 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{128}-\frac{6467659 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{11943936 \left(x +\frac{5}{2}\right)}-\frac{170114729 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{23887872}+\frac{6467659 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{23887872}+\frac{158527 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{331776 \left(x +\frac{5}{2}\right)^{2}}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{13824 \left(x +\frac{5}{2}\right)^{3}}"," ",0,"5/128*(4*x-1)*(2*x^2-x+3)^(1/2)+10939/512*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))-6467659/11943936/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-170114729/23887872*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+170114729/7962624*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))+6467659/23887872*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+158527/331776/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-3667/13824/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(3/2)","A"
330,1,167,134,0.013000," ","int((5*x^4-x^3+3*x^2+x+2)*(2*x^2-x+3)^(1/2)/(5+2*x)^5,x)","-\frac{259 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{128}-\frac{4640586097 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{2293235712}+\frac{4640586097 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{6879707136}+\frac{593771 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{3981312 \left(x +\frac{5}{2}\right)^{3}}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{36864 \left(x +\frac{5}{2}\right)^{4}}-\frac{9363383 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{95551488 \left(x +\frac{5}{2}\right)^{2}}-\frac{201573155 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{6879707136}+\frac{201573155 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{3439853568 \left(x +\frac{5}{2}\right)}"," ",0,"4640586097/6879707136*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+593771/3981312/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-3667/36864/(x+5/2)^4*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-9363383/95551488/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-201573155/6879707136*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+201573155/3439853568/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-4640586097/2293235712*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))-259/128*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","A"
331,1,188,134,0.014000," ","int((5*x^4-x^3+3*x^2+x+2)*(2*x^2-x+3)^(1/2)/(5+2*x)^6,x)","\frac{5 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{64}+\frac{12895597463 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{165112971264}-\frac{12895597463 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{495338913792}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{92160 \left(x +\frac{5}{2}\right)^{5}}-\frac{38732321 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{1433272320 \left(x +\frac{5}{2}\right)^{3}}+\frac{711961 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{13271040 \left(x +\frac{5}{2}\right)^{4}}+\frac{46569601 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{6879707136 \left(x +\frac{5}{2}\right)^{2}}+\frac{562688629 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{495338913792}-\frac{562688629 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{247669456896 \left(x +\frac{5}{2}\right)}"," ",0,"-12895597463/495338913792*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3667/92160/(x+5/2)^5*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-38732321/1433272320/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+711961/13271040/(x+5/2)^4*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+46569601/6879707136/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+562688629/495338913792*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-562688629/247669456896/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+12895597463/165112971264*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))+5/64*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","A"
332,1,195,139,0.016000," ","int((5*x^4-x^3+3*x^2+x+2)*(2*x^2-x+3)^(1/2)/(5+2*x)^7,x)","-\frac{26972675 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{7925422620672}+\frac{26972675 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{23776267862016}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{221184 \left(x +\frac{5}{2}\right)^{6}}+\frac{92239 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{4423680 \left(x +\frac{5}{2}\right)^{5}}+\frac{87677717 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{68797071360 \left(x +\frac{5}{2}\right)^{3}}-\frac{5703277 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{637009920 \left(x +\frac{5}{2}\right)^{4}}-\frac{1172725 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{330225942528 \left(x +\frac{5}{2}\right)^{2}}+\frac{12899975 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{23776267862016}-\frac{12899975 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{11888133931008 \left(x +\frac{5}{2}\right)}"," ",0,"26972675/23776267862016*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3667/221184/(x+5/2)^6*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+92239/4423680/(x+5/2)^5*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+87677717/68797071360/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-5703277/637009920/(x+5/2)^4*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-1172725/330225942528/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+12899975/23776267862016*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-12899975/11888133931008/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-26972675/7925422620672*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))","A"
333,1,216,160,0.019000," ","int((5*x^4-x^3+3*x^2+x+2)*(2*x^2-x+3)^(1/2)/(5+2*x)^8,x)","-\frac{289071245 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{570630428688384}+\frac{289071245 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{1711891286065152}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{516096 \left(x +\frac{5}{2}\right)^{7}}+\frac{948341 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{111476736 \left(x +\frac{5}{2}\right)^{6}}-\frac{1464037 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{445906944 \left(x +\frac{5}{2}\right)^{5}}+\frac{246159769 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{6934744793088 \left(x +\frac{5}{2}\right)^{3}}+\frac{19414831 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{64210599936 \left(x +\frac{5}{2}\right)^{4}}-\frac{12568315 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{23776267862016 \left(x +\frac{5}{2}\right)^{2}}+\frac{138251465 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{1711891286065152}-\frac{138251465 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{855945643032576 \left(x +\frac{5}{2}\right)}"," ",0,"289071245/1711891286065152*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3667/516096/(x+5/2)^7*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+948341/111476736/(x+5/2)^6*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-1464037/445906944/(x+5/2)^5*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+246159769/6934744793088/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+19414831/64210599936/(x+5/2)^4*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-12568315/23776267862016/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+138251465/1711891286065152*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-138251465/855945643032576/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-289071245/570630428688384*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))","A"
334,1,134,137,0.018000," ","int((5+2*x)*(2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2),x)","\frac{5 \left(2 x^{2}-x +3\right)^{\frac{5}{2}} x^{4}}{9}+\frac{479 \left(2 x^{2}-x +3\right)^{\frac{5}{2}} x^{3}}{288}+\frac{2005 \left(2 x^{2}-x +3\right)^{\frac{5}{2}} x^{2}}{8064}+\frac{5645 \left(2 x^{2}-x +3\right)^{\frac{5}{2}} x}{21504}+\frac{147157749 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{8388608}+\frac{120809 \left(2 x^{2}-x +3\right)^{\frac{5}{2}}}{143360}+\frac{92727 \left(4 x -1\right) \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{131072}+\frac{6398163 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{2097152}"," ",0,"120809/143360*(2*x^2-x+3)^(5/2)+5/9*x^4*(2*x^2-x+3)^(5/2)+479/288*x^3*(2*x^2-x+3)^(5/2)+2005/8064*x^2*(2*x^2-x+3)^(5/2)+5645/21504*x*(2*x^2-x+3)^(5/2)+92727/131072*(4*x-1)*(2*x^2-x+3)^(3/2)+147157749/8388608*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+6398163/2097152*(4*x-1)*(2*x^2-x+3)^(1/2)","A"
335,1,117,118,0.005000," ","int((2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2),x)","\frac{5 \left(2 x^{2}-x +3\right)^{\frac{5}{2}} x^{3}}{16}+\frac{23 \left(2 x^{2}-x +3\right)^{\frac{5}{2}} x^{2}}{448}+\frac{125 \left(2 x^{2}-x +3\right)^{\frac{5}{2}} x}{3584}+\frac{13643439 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{4194304}+\frac{1167 \left(2 x^{2}-x +3\right)^{\frac{5}{2}}}{14336}+\frac{8597 \left(4 x -1\right) \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{65536}+\frac{593193 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{1048576}"," ",0,"1167/14336*(2*x^2-x+3)^(5/2)+5/16*(2*x^2-x+3)^(5/2)*x^3+23/448*(2*x^2-x+3)^(5/2)*x^2+125/3584*(2*x^2-x+3)^(5/2)*x+8597/65536*(4*x-1)*(2*x^2-x+3)^(3/2)+13643439/4194304*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+593193/1048576*(4*x-1)*(2*x^2-x+3)^(1/2)","A"
336,1,183,137,0.010000," ","int((2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x),x)","\frac{5 \left(2 x^{2}-x +3\right)^{\frac{5}{2}} x^{2}}{28}-\frac{111 \left(2 x^{2}-x +3\right)^{\frac{5}{2}} x}{224}-\frac{1622009981 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{262144}-\frac{99009 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{16}+\frac{1395 \left(2 x^{2}-x +3\right)^{\frac{5}{2}}}{896}-\frac{10255 \left(4 x -1\right) \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{4096}-\frac{707595 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{65536}+\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{96}-\frac{40337 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{512}+\frac{33003 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{16}"," ",0,"5/28*(2*x^2-x+3)^(5/2)*x^2-111/224*(2*x^2-x+3)^(5/2)*x+1395/896*(2*x^2-x+3)^(5/2)-10255/4096*(4*x-1)*(2*x^2-x+3)^(3/2)-707595/65536*(4*x-1)*(2*x^2-x+3)^(1/2)-1622009981/262144*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+3667/96*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-40337/512*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+33003/16*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-99009/16*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))","A"
337,1,208,137,0.013000," ","int((2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^2,x)","\frac{5 \left(2 x^{2}-x +3\right)^{\frac{5}{2}} x}{48}+\frac{982669459 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{131072}+\frac{959625 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{128}-\frac{589 \left(2 x^{2}-x +3\right)^{\frac{5}{2}}}{960}+\frac{9059 \left(4 x -1\right) \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{6144}+\frac{208357 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{32768}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{1152 \left(x +\frac{5}{2}\right)}-\frac{106625 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{2304}+\frac{1637 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{16}-\frac{319875 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{128}+\frac{3667 \left(4 x -1\right) \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{2304}"," ",0,"5/48*(2*x^2-x+3)^(5/2)*x-589/960*(2*x^2-x+3)^(5/2)+9059/6144*(4*x-1)*(2*x^2-x+3)^(3/2)+208357/32768*(4*x-1)*(2*x^2-x+3)^(1/2)+982669459/131072*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))-3667/1152/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-106625/2304*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+1637/16*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-319875/128*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+959625/128*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))+3667/2304*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)","A"
338,1,214,139,0.015000," ","int((2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^3,x)","-\frac{129342063 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{32768}-\frac{8083915 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{2048}+\frac{\left(2 x^{2}-x +3\right)^{\frac{5}{2}}}{16}+\frac{8083915 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{6144}+\frac{8083915 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{331776}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{4608 \left(x +\frac{5}{2}\right)^{2}}-\frac{438065 \left(4 x -1\right) \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{331776}+\frac{438065 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{165888 \left(x +\frac{5}{2}\right)}-\frac{343745 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{6144}-\frac{149 \left(4 x -1\right) \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{512}-\frac{10281 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{8192}"," ",0,"1/16*(2*x^2-x+3)^(5/2)+8083915/6144*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+8083915/331776*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-3667/4608/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-438065/331776*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+438065/165888/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-343745/6144*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-8083915/2048*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))-149/512*(4*x-1)*(2*x^2-x+3)^(3/2)-129342063/32768*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))-10281/8192*(4*x-1)*(2*x^2-x+3)^(1/2)","A"
339,1,221,146,0.017000," ","int((2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^4,x)","\frac{19176431 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{16384}+\frac{517762327 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{442368}-\frac{517762327 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{1327104}-\frac{517762327 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{71663616}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{13824 \left(x +\frac{5}{2}\right)^{3}}+\frac{556255 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{995328 \left(x +\frac{5}{2}\right)^{2}}+\frac{32865365 \left(4 x -1\right) \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{71663616}-\frac{32865365 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{35831808 \left(x +\frac{5}{2}\right)}+\frac{22400309 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{1327104}+\frac{5 \left(4 x -1\right) \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}{256}+\frac{345 \left(4 x -1\right) \sqrt{2 x^{2}-x +3}}{4096}"," ",0,"-517762327/1327104*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-517762327/71663616*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-3667/13824/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+556255/995328/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+32865365/71663616*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-32865365/35831808/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+22400309/1327104*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+517762327/442368*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))+5/256*(4*x-1)*(2*x^2-x+3)^(3/2)+19176431/16384*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+345/4096*(4*x-1)*(2*x^2-x+3)^(1/2)","A"
340,1,204,153,0.017000," ","int((2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^5,x)","-\frac{432565 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{2048}-\frac{8969688643 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{42467328}+\frac{8969688643 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{127401984}+\frac{8969688643 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{6879707136}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{36864 \left(x +\frac{5}{2}\right)^{4}}+\frac{224815 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{1327104 \left(x +\frac{5}{2}\right)^{3}}-\frac{14477995 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{95551488 \left(x +\frac{5}{2}\right)^{2}}-\frac{593321753 \left(4 x -1\right) \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{6879707136}+\frac{593321753 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{3439853568 \left(x +\frac{5}{2}\right)}-\frac{389975609 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{127401984}"," ",0,"8969688643/127401984*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+8969688643/6879707136*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-3667/36864/(x+5/2)^4*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+224815/1327104/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-14477995/95551488/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-593321753/6879707136*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+593321753/3439853568/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-389975609/127401984*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-8969688643/42467328*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))-432565/2048*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","A"
341,1,225,160,0.017000," ","int((2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^6,x)","\frac{23775 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{1024}+\frac{70991525167 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{3057647616}-\frac{70991525167 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{9172942848}-\frac{70991525167 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{495338913792}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{92160 \left(x +\frac{5}{2}\right)^{5}}+\frac{158527 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{2654208 \left(x +\frac{5}{2}\right)^{4}}-\frac{3730507 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{95551488 \left(x +\frac{5}{2}\right)^{3}}+\frac{134077495 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{6879707136 \left(x +\frac{5}{2}\right)^{2}}+\frac{4698578717 \left(4 x -1\right) \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{495338913792}-\frac{4698578717 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{247669456896 \left(x +\frac{5}{2}\right)}+\frac{3086715581 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{9172942848}"," ",0,"-70991525167/9172942848*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-70991525167/495338913792*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-3667/92160/(x+5/2)^5*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+158527/2654208/(x+5/2)^4*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-3730507/95551488/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+134077495/6879707136/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+4698578717/495338913792*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-4698578717/247669456896/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+3086715581/9172942848*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+70991525167/3057647616*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))+23775/1024*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","A"
342,1,246,160,0.017000," ","int((2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^7,x)","-\frac{369 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{256}-\frac{1903976002333 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{1320903770112}+\frac{1903976002333 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{3962711310336}+\frac{1903976002333 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{213986410758144}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{221184 \left(x +\frac{5}{2}\right)^{6}}+\frac{182165 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{7962624 \left(x +\frac{5}{2}\right)^{5}}-\frac{14087245 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{1146617856 \left(x +\frac{5}{2}\right)^{4}}+\frac{149610673 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{41278242816 \left(x +\frac{5}{2}\right)^{3}}-\frac{3607708597 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{2972033482752 \left(x +\frac{5}{2}\right)^{2}}-\frac{125860542215 \left(4 x -1\right) \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{213986410758144}+\frac{125860542215 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{106993205379072 \left(x +\frac{5}{2}\right)}-\frac{82772668391 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{3962711310336}"," ",0,"1903976002333/3962711310336*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+1903976002333/213986410758144*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-3667/221184/(x+5/2)^6*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+182165/7962624/(x+5/2)^5*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-14087245/1146617856/(x+5/2)^4*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+149610673/41278242816/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-3607708597/2972033482752/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-125860542215/213986410758144*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)+125860542215/106993205379072/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-82772668391/3962711310336*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-1903976002333/1320903770112*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))-369/256*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","A"
343,1,267,160,0.019000," ","int((2*x^2-x+3)^(3/2)*(5*x^4-x^3+3*x^2+x+2)/(5+2*x)^8,x)","\frac{5 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{128}+\frac{412760561351 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{10567230160896}-\frac{412760561351 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{31701690482688}-\frac{412760561351 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{1711891286065152}-\frac{3667 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{516096 \left(x +\frac{5}{2}\right)^{7}}+\frac{114335 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{12386304 \left(x +\frac{5}{2}\right)^{6}}-\frac{1930441 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{445906944 \left(x +\frac{5}{2}\right)^{5}}+\frac{7861079 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{9172942848 \left(x +\frac{5}{2}\right)^{4}}-\frac{32967491 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{330225942528 \left(x +\frac{5}{2}\right)^{3}}+\frac{769352975 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{23776267862016 \left(x +\frac{5}{2}\right)^{2}}+\frac{27452157541 \left(4 x -1\right) \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}{1711891286065152}-\frac{27452157541 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{5}{2}}}{855945643032576 \left(x +\frac{5}{2}\right)}+\frac{17957520133 \left(4 x -1\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{31701690482688}"," ",0,"-412760561351/31701690482688*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-412760561351/1711891286065152*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-3667/516096/(x+5/2)^7*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+114335/12386304/(x+5/2)^6*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-1930441/445906944/(x+5/2)^5*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+7861079/9172942848/(x+5/2)^4*(-11*x+2*(x+5/2)^2-19/2)^(5/2)-32967491/330225942528/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+769352975/23776267862016/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+27452157541/1711891286065152*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(3/2)-27452157541/855945643032576/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(5/2)+17957520133/31701690482688*(4*x-1)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+412760561351/10567230160896*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))+5/128*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","A"
344,1,95,99,0.012000," ","int((5+2*x)*(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(1/2),x)","\sqrt{2 x^{2}-x +3}\, x^{4}+\frac{55 \sqrt{2 x^{2}-x +3}\, x^{3}}{16}+\frac{11 \sqrt{2 x^{2}-x +3}\, x^{2}}{64}-\frac{1729 \sqrt{2 x^{2}-x +3}\, x}{512}+\frac{85429 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{8192}+\frac{2973 \sqrt{2 x^{2}-x +3}}{2048}"," ",0,"x^4*(2*x^2-x+3)^(1/2)+55/16*x^3*(2*x^2-x+3)^(1/2)+11/64*x^2*(2*x^2-x+3)^(1/2)-1729/512*x*(2*x^2-x+3)^(1/2)+2973/2048*(2*x^2-x+3)^(1/2)+85429/8192*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","A"
345,1,79,80,0.006000," ","int((5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(1/2),x)","\frac{5 \sqrt{2 x^{2}-x +3}\, x^{3}}{8}+\frac{19 \sqrt{2 x^{2}-x +3}\, x^{2}}{96}-\frac{409 \sqrt{2 x^{2}-x +3}\, x}{768}+\frac{6863 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{4096}-\frac{505 \sqrt{2 x^{2}-x +3}}{1024}"," ",0,"5/8*(2*x^2-x+3)^(1/2)*x^3+19/96*(2*x^2-x+3)^(1/2)*x^2-409/768*(2*x^2-x+3)^(1/2)*x-505/1024*(2*x^2-x+3)^(1/2)+6863/4096*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","A"
346,1,92,99,0.008000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)/(2*x^2-x+3)^(1/2),x)","\frac{5 \sqrt{2 x^{2}-x +3}\, x^{2}}{12}-\frac{137 \sqrt{2 x^{2}-x +3}\, x}{96}-\frac{9657 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{512}-\frac{3667 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{192}+\frac{879 \sqrt{2 x^{2}-x +3}}{128}"," ",0,"5/12*(2*x^2-x+3)^(1/2)*x^2-137/96*(2*x^2-x+3)^(1/2)*x+879/128*(2*x^2-x+3)^(1/2)-9657/512*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))-3667/192*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))","A"
347,1,96,99,0.012000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)^2/(2*x^2-x+3)^(1/2),x)","\frac{5 \sqrt{2 x^{2}-x +3}\, x}{16}+\frac{2943 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{256}+\frac{158527 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{13824}-\frac{193 \sqrt{2 x^{2}-x +3}}{64}-\frac{3667 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{1152 \left(x +\frac{5}{2}\right)}"," ",0,"5/16*(2*x^2-x+3)^(1/2)*x-193/64*(2*x^2-x+3)^(1/2)+2943/256*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))-3667/1152/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+158527/13824*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))","A"
348,1,102,101,0.012000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)^3/(2*x^2-x+3)^(1/2),x)","-\frac{149 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{64}-\frac{1546507 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{663552}+\frac{5 \sqrt{2 x^{2}-x +3}}{16}+\frac{92239 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{55296 \left(x +\frac{5}{2}\right)}-\frac{3667 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{4608 \left(x +\frac{5}{2}\right)^{2}}"," ",0,"5/16*(2*x^2-x+3)^(1/2)-149/64*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+92239/55296/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-1546507/663552*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))-3667/4608/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(1/2)","A"
349,1,109,108,0.014000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)^4/(2*x^2-x+3)^(1/2),x)","\frac{5 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{32}+\frac{22389491 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{143327232}-\frac{3163415 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{11943936 \left(x +\frac{5}{2}\right)}+\frac{394907 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{995328 \left(x +\frac{5}{2}\right)^{2}}-\frac{3667 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{13824 \left(x +\frac{5}{2}\right)^{3}}"," ",0,"5/32*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))-3163415/11943936/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+22389491/143327232*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))+394907/995328/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3667/13824/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(1/2)","A"
350,1,116,113,0.013000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)^5/(2*x^2-x+3)^(1/2),x)","\frac{2053207 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{41278242816}+\frac{26800085 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{3439853568 \left(x +\frac{5}{2}\right)}-\frac{16295969 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{286654464 \left(x +\frac{5}{2}\right)^{2}}-\frac{3667 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{36864 \left(x +\frac{5}{2}\right)^{4}}+\frac{513097 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}{3981312 \left(x +\frac{5}{2}\right)^{3}}"," ",0,"26800085/3439853568/(x+5/2)*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+2053207/41278242816*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))-16295969/286654464/(x+5/2)^2*(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3667/36864/(x+5/2)^4*(-11*x+2*(x+5/2)^2-19/2)^(1/2)+513097/3981312/(x+5/2)^3*(-11*x+2*(x+5/2)^2-19/2)^(1/2)","A"
351,1,132,99,0.017000," ","int((5+2*x)^2*(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(3/2),x)","\frac{5 x^{5}}{2 \sqrt{2 x^{2}-x +3}}+\frac{143 x^{4}}{8 \sqrt{2 x^{2}-x +3}}+\frac{2273 x^{3}}{64 \sqrt{2 x^{2}-x +3}}-\frac{11099 x^{2}}{256 \sqrt{2 x^{2}-x +3}}+\frac{144217 x}{1024 \sqrt{2 x^{2}-x +3}}-\frac{144217 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{2048}+\frac{\frac{931255 x}{23552}-\frac{931255}{94208}}{\sqrt{2 x^{2}-x +3}}-\frac{521655}{4096 \sqrt{2 x^{2}-x +3}}"," ",0,"931255/94208*(4*x-1)/(2*x^2-x+3)^(1/2)-144217/2048*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+5/2*x^5/(2*x^2-x+3)^(1/2)+143/8*x^4/(2*x^2-x+3)^(1/2)+2273/64*x^3/(2*x^2-x+3)^(1/2)-11099/256*x^2/(2*x^2-x+3)^(1/2)+144217/1024*x/(2*x^2-x+3)^(1/2)-521655/4096/(2*x^2-x+3)^(1/2)","A"
352,1,115,82,0.007000," ","int((5+2*x)*(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(3/2),x)","\frac{5 x^{4}}{3 \sqrt{2 x^{2}-x +3}}+\frac{173 x^{3}}{24 \sqrt{2 x^{2}-x +3}}-\frac{47 x^{2}}{96 \sqrt{2 x^{2}-x +3}}+\frac{3111 x}{128 \sqrt{2 x^{2}-x +3}}-\frac{3111 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{256}+\frac{\frac{10185 x}{2944}-\frac{10185}{11776}}{\sqrt{2 x^{2}-x +3}}+\frac{55}{512 \sqrt{2 x^{2}-x +3}}"," ",0,"10185/11776*(4*x-1)/(2*x^2-x+3)^(1/2)-3111/256*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+5/3/(2*x^2-x+3)^(1/2)*x^4+173/24/(2*x^2-x+3)^(1/2)*x^3-47/96/(2*x^2-x+3)^(1/2)*x^2+3111/128/(2*x^2-x+3)^(1/2)*x+55/512/(2*x^2-x+3)^(1/2)","A"
353,1,98,65,0.008000," ","int((5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(3/2),x)","\frac{5 x^{3}}{4 \sqrt{2 x^{2}-x +3}}+\frac{17 x^{2}}{16 \sqrt{2 x^{2}-x +3}}+\frac{213 x}{64 \sqrt{2 x^{2}-x +3}}-\frac{213 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{128}+\frac{901}{256 \sqrt{2 x^{2}-x +3}}+\frac{\frac{123 x}{1472}-\frac{123}{5888}}{\sqrt{2 x^{2}-x +3}}"," ",0,"5/4/(2*x^2-x+3)^(1/2)*x^3+17/16/(2*x^2-x+3)^(1/2)*x^2+213/64/(2*x^2-x+3)^(1/2)*x+901/256/(2*x^2-x+3)^(1/2)+123/5888*(4*x-1)/(2*x^2-x+3)^(1/2)-213/128*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","A"
354,1,148,78,0.011000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)/(2*x^2-x+3)^(3/2),x)","\frac{5 x^{2}}{4 \sqrt{2 x^{2}-x +3}}+\frac{39 x}{16 \sqrt{2 x^{2}-x +3}}-\frac{39 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{32}-\frac{3667 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{3456}-\frac{309}{64 \sqrt{2 x^{2}-x +3}}-\frac{5507 \left(4 x -1\right)}{1472 \sqrt{2 x^{2}-x +3}}+\frac{3667}{576 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}+\frac{\frac{40337 x}{3312}-\frac{40337}{13248}}{\sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}"," ",0,"5/4/(2*x^2-x+3)^(1/2)*x^2+39/16/(2*x^2-x+3)^(1/2)*x-309/64/(2*x^2-x+3)^(1/2)-5507/1472*(4*x-1)/(2*x^2-x+3)^(1/2)-39/32*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))+3667/576/(-11*x+2*(x+5/2)^2-19/2)^(1/2)+40337/13248*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3667/3456*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))","A"
355,1,152,85,0.011000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)^2/(2*x^2-x+3)^(3/2),x)","-\frac{5 x}{8 \sqrt{2 x^{2}-x +3}}+\frac{5 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{16}+\frac{25951 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{82944}+\frac{99}{32 \sqrt{2 x^{2}-x +3}}+\frac{\frac{1529 x}{184}-\frac{1529}{736}}{\sqrt{2 x^{2}-x +3}}-\frac{3667}{1152 \left(x +\frac{5}{2}\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}-\frac{25951}{13824 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}-\frac{637493 \left(4 x -1\right)}{317952 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}"," ",0,"-5/8/(2*x^2-x+3)^(1/2)*x+99/32/(2*x^2-x+3)^(1/2)+1529/736*(4*x-1)/(2*x^2-x+3)^(1/2)+5/16*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))-3667/1152/(x+5/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-25951/13824/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-637493/317952*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)+25951/82944*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))","A"
356,1,144,90,0.013000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)^3/(2*x^2-x+3)^(3/2),x)","-\frac{52631 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{11943936}-\frac{5}{16 \sqrt{2 x^{2}-x +3}}-\frac{149 \left(4 x -1\right)}{368 \sqrt{2 x^{2}-x +3}}+\frac{196043}{165888 \left(x +\frac{5}{2}\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}+\frac{52631}{1990656 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}+\frac{\frac{19399069 x}{11446272}-\frac{19399069}{45785088}}{\sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}-\frac{3667}{4608 \left(x +\frac{5}{2}\right)^{2} \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}"," ",0,"-5/16/(2*x^2-x+3)^(1/2)-149/368*(4*x-1)/(2*x^2-x+3)^(1/2)+196043/165888/(x+5/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)+52631/1990656/(-11*x+2*(x+5/2)^2-19/2)^(1/2)+19399069/45785088*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-52631/11943936*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))-3667/4608/(x+5/2)^2/(-11*x+2*(x+5/2)^2-19/2)^(1/2)","A"
357,1,151,111,0.014000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)^4/(2*x^2-x+3)^(3/2),x)","-\frac{3505819 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{2579890176}+\frac{\frac{5 x}{46}-\frac{5}{184}}{\sqrt{2 x^{2}-x +3}}-\frac{3127169}{35831808 \left(x +\frac{5}{2}\right) \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}+\frac{3505819}{429981696 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}-\frac{261644215 \left(4 x -1\right)}{9889579008 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}+\frac{314233}{995328 \left(x +\frac{5}{2}\right)^{2} \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}-\frac{3667}{13824 \left(x +\frac{5}{2}\right)^{3} \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}"," ",0,"5/184*(4*x-1)/(2*x^2-x+3)^(1/2)-3127169/35831808/(x+5/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)+3505819/429981696/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-261644215/9889579008*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3505819/2579890176*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))+314233/995328/(x+5/2)^2/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3667/13824/(x+5/2)^3/(-11*x+2*(x+5/2)^2-19/2)^(1/2)","A"
358,1,180,84,0.023000," ","int((5+2*x)^2*(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(5/2),x)","\frac{5 x^{5}}{\left(2 x^{2}-x +3\right)^{\frac{3}{2}}}+\frac{227 x^{4}}{4 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{1471 x^{3}}{48 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}+\frac{19073 x^{2}}{64 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{32257 x}{512 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{1471 x}{32 \sqrt{2 x^{2}-x +3}}+\frac{1471 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{64}-\frac{162931 \left(4 x -1\right)}{50784 \sqrt{2 x^{2}-x +3}}-\frac{753223 \left(4 x -1\right)}{141312 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}+\frac{577397}{2048 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{1471}{128 \sqrt{2 x^{2}-x +3}}"," ",0,"-162931/50784*(4*x-1)/(2*x^2-x+3)^(1/2)-753223/141312*(4*x-1)/(2*x^2-x+3)^(3/2)+5*x^5/(2*x^2-x+3)^(3/2)+227/4*x^4/(2*x^2-x+3)^(3/2)-1471/48*x^3/(2*x^2-x+3)^(3/2)+19073/64*x^2/(2*x^2-x+3)^(3/2)-32257/512*x/(2*x^2-x+3)^(3/2)+1471/64*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))-1471/32/(2*x^2-x+3)^(1/2)*x+577397/2048/(2*x^2-x+3)^(3/2)-1471/128/(2*x^2-x+3)^(1/2)","B"
359,1,163,69,0.008000," ","int((5+2*x)*(5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(5/2),x)","\frac{5 x^{4}}{\left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{71 x^{3}}{12 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}+\frac{401 x^{2}}{16 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{945 x}{128 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{71 x}{8 \sqrt{2 x^{2}-x +3}}+\frac{71 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{16}+\frac{\frac{643 x}{3174}-\frac{643}{12696}}{\sqrt{2 x^{2}-x +3}}-\frac{2327 \left(4 x -1\right)}{35328 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}+\frac{11749}{512 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{71}{32 \sqrt{2 x^{2}-x +3}}"," ",0,"643/12696*(4*x-1)/(2*x^2-x+3)^(1/2)-2327/35328*(4*x-1)/(2*x^2-x+3)^(3/2)+5/(2*x^2-x+3)^(3/2)*x^4-71/12/(2*x^2-x+3)^(3/2)*x^3+401/16/(2*x^2-x+3)^(3/2)*x^2-945/128/(2*x^2-x+3)^(3/2)*x+71/16*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))-71/8/(2*x^2-x+3)^(1/2)*x+11749/512/(2*x^2-x+3)^(3/2)-71/32/(2*x^2-x+3)^(1/2)","B"
360,1,146,55,0.007000," ","int((5*x^4-x^3+3*x^2+x+2)/(2*x^2-x+3)^(5/2),x)","-\frac{5 x^{3}}{6 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{x^{2}}{8 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{47 x}{64 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{5 x}{4 \sqrt{2 x^{2}-x +3}}+\frac{5 \sqrt{2}\, \arcsinh \left(\frac{4 \sqrt{23}\, \left(x -\frac{1}{4}\right)}{23}\right)}{8}-\frac{271}{768 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}+\frac{\frac{2423 x}{4416}-\frac{2423}{17664}}{\left(2 x^{2}-x +3\right)^{\frac{3}{2}}}+\frac{\frac{692 x}{1587}-\frac{173}{1587}}{\sqrt{2 x^{2}-x +3}}-\frac{5}{16 \sqrt{2 x^{2}-x +3}}"," ",0,"-5/6/(2*x^2-x+3)^(3/2)*x^3-1/8/(2*x^2-x+3)^(3/2)*x^2-47/64/(2*x^2-x+3)^(3/2)*x-271/768/(2*x^2-x+3)^(3/2)+2423/17664*(4*x-1)/(2*x^2-x+3)^(3/2)+173/1587*(4*x-1)/(2*x^2-x+3)^(1/2)-5/4/(2*x^2-x+3)^(1/2)*x-5/16/(2*x^2-x+3)^(1/2)+5/8*2^(1/2)*arcsinh(4/23*23^(1/2)*(x-1/4))","B"
361,1,190,67,0.009000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)/(2*x^2-x+3)^(5/2),x)","-\frac{5 x^{2}}{4 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}+\frac{59 x}{32 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{3667 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{62208}-\frac{1597}{384 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{3817 \left(4 x -1\right)}{2944 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{3817 \left(4 x -1\right)}{4232 \sqrt{2 x^{2}-x +3}}+\frac{3667}{1728 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}+\frac{\frac{40337 x}{9936}-\frac{40337}{39744}}{\left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}+\frac{\frac{4800103 x}{1371168}-\frac{4800103}{5484672}}{\sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}+\frac{3667}{10368 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}"," ",0,"-5/4/(2*x^2-x+3)^(3/2)*x^2+59/32/(2*x^2-x+3)^(3/2)*x-1597/384/(2*x^2-x+3)^(3/2)-3817/2944*(4*x-1)/(2*x^2-x+3)^(3/2)-3817/4232*(4*x-1)/(2*x^2-x+3)^(1/2)+3667/1728/(-11*x+2*(x+5/2)^2-19/2)^(3/2)+40337/39744*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(3/2)+4800103/5484672*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)+3667/10368/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3667/62208*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))","B"
362,1,194,88,0.011000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)^2/(2*x^2-x+3)^(5/2),x)","-\frac{5 x}{16 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{2821 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{4478976}+\frac{203}{192 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}+\frac{\frac{3173 x}{1104}-\frac{3173}{4416}}{\left(2 x^{2}-x +3\right)^{\frac{3}{2}}}+\frac{\frac{3173 x}{1587}-\frac{3173}{6348}}{\sqrt{2 x^{2}-x +3}}-\frac{3667}{1152 \left(x +\frac{5}{2}\right) \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}+\frac{2821}{124416 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}-\frac{2081161 \left(4 x -1\right)}{2861568 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}-\frac{199077743 \left(4 x -1\right)}{394896384 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}+\frac{2821}{746496 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}"," ",0,"-5/16/(2*x^2-x+3)^(3/2)*x+203/192/(2*x^2-x+3)^(3/2)+3173/4416*(4*x-1)/(2*x^2-x+3)^(3/2)+3173/6348*(4*x-1)/(2*x^2-x+3)^(1/2)-3667/1152/(x+5/2)/(-11*x+2*(x+5/2)^2-19/2)^(3/2)+2821/124416/(-11*x+2*(x+5/2)^2-19/2)^(3/2)-2081161/2861568*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(3/2)-199077743/394896384*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)+2821/746496/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-2821/4478976*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))","B"
363,1,200,109,0.013000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)^3/(2*x^2-x+3)^(5/2),x)","\frac{774079 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{644972544}-\frac{5}{48 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{149 \left(4 x -1\right)}{1104 \left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{149 \left(4 x -1\right)}{1587 \sqrt{2 x^{2}-x +3}}+\frac{115369}{165888 \left(x +\frac{5}{2}\right) \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}-\frac{774079}{17915904 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}+\frac{\frac{57937675 x}{103016448}-\frac{57937675}{412065792}}{\left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}+\frac{\frac{5366174813 x}{14216269824}-\frac{5366174813}{56865079296}}{\sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}-\frac{774079}{107495424 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}-\frac{3667}{4608 \left(x +\frac{5}{2}\right)^{2} \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}"," ",0,"-5/48/(2*x^2-x+3)^(3/2)-149/1104*(4*x-1)/(2*x^2-x+3)^(3/2)-149/1587*(4*x-1)/(2*x^2-x+3)^(1/2)+115369/165888/(x+5/2)/(-11*x+2*(x+5/2)^2-19/2)^(3/2)-774079/17915904/(-11*x+2*(x+5/2)^2-19/2)^(3/2)+57937675/412065792*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(3/2)+5366174813/56865079296*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-774079/107495424/(-11*x+2*(x+5/2)^2-19/2)^(1/2)+774079/644972544*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))-3667/4608/(x+5/2)^2/(-11*x+2*(x+5/2)^2-19/2)^(3/2)","A"
364,1,207,130,0.014000," ","int((5*x^4-x^3+3*x^2+x+2)/(5+2*x)^4/(2*x^2-x+3)^(5/2),x)","\frac{4778789 \sqrt{2}\, \arctanh \left(\frac{\left(-11 x +\frac{17}{2}\right) \sqrt{2}}{12 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}\right)}{15479341056}-\frac{4778789}{429981696 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}-\frac{4778789}{2579890176 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}-\frac{3667}{13824 \left(x +\frac{5}{2}\right)^{3} \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}+\frac{25951}{110592 \left(x +\frac{5}{2}\right)^{2} \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}-\frac{34861}{3981312 \left(x +\frac{5}{2}\right) \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}-\frac{72646615 \left(4 x -1\right)}{9889579008 \left(-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}\right)^{\frac{3}{2}}}+\frac{\frac{40 x}{1587}-\frac{10}{1587}}{\sqrt{2 x^{2}-x +3}}+\frac{\frac{5 x}{138}-\frac{5}{552}}{\left(2 x^{2}-x +3\right)^{\frac{3}{2}}}-\frac{8183108657 \left(4 x -1\right)}{1364761903104 \sqrt{-11 x +2 \left(x +\frac{5}{2}\right)^{2}-\frac{19}{2}}}"," ",0,"-4778789/429981696/(-11*x+2*(x+5/2)^2-19/2)^(3/2)-4778789/2579890176/(-11*x+2*(x+5/2)^2-19/2)^(1/2)-3667/13824/(x+5/2)^3/(-11*x+2*(x+5/2)^2-19/2)^(3/2)+25951/110592/(x+5/2)^2/(-11*x+2*(x+5/2)^2-19/2)^(3/2)-34861/3981312/(x+5/2)/(-11*x+2*(x+5/2)^2-19/2)^(3/2)-72646615/9889579008*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(3/2)+4778789/15479341056*2^(1/2)*arctanh(1/12*(-11*x+17/2)*2^(1/2)/(-11*x+2*(x+5/2)^2-19/2)^(1/2))+10/1587*(4*x-1)/(2*x^2-x+3)^(1/2)+5/552*(4*x-1)/(2*x^2-x+3)^(3/2)-8183108657/1364761903104*(4*x-1)/(-11*x+2*(x+5/2)^2-19/2)^(1/2)","A"
365,1,1406,338,0.015000," ","int((j*x^4+i*x^3+h*x^2+g*x+f)/(c*x^2+b*x+a)^(5/2),x)","\frac{4 a \,b^{2} j x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}-\frac{8 a b i x}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{16 a c h x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{b^{4} j x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{2 b^{3} i x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{4 b^{2} h x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{16 b c g x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{32 c^{2} f x}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{2 a \,b^{3} j}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{4 a \,b^{2} i}{\left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{a \,b^{2} j x}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{a b i x}{\left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{8 a b h}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{2 a h x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{b^{5} j}{6 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{b^{4} i}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c^{2}}-\frac{b^{4} j x}{24 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{2 b^{3} h}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}\, c}+\frac{b^{3} i x}{12 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{b^{2} h x}{6 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{8 b^{2} g}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}+\frac{16 b c f}{3 \left(4 a c -b^{2}\right)^{2} \sqrt{c \,x^{2}+b x +a}}-\frac{2 b g x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{4 c f x}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{j \,x^{3}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{a \,b^{3} j}{4 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{a \,b^{2} i}{2 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{a b h}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{b^{5} j}{48 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{b^{4} i}{24 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{b^{3} h}{12 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{b^{2} g}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{b^{2} j x}{\left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{b j \,x^{2}}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{2 b f}{3 \left(4 a c -b^{2}\right) \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{i \,x^{2}}{\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{b^{3} j}{2 \left(4 a c -b^{2}\right) \sqrt{c \,x^{2}+b x +a}\, c^{3}}+\frac{b^{2} j x}{8 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{b i x}{4 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{h x}{2 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{a b j}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{2 a i}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{b^{3} j}{48 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}+\frac{b^{2} i}{24 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{b h}{12 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{g}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{j x}{\sqrt{c \,x^{2}+b x +a}\, c^{2}}+\frac{j \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x +a}\right)}{c^{\frac{5}{2}}}+\frac{b j}{2 \sqrt{c \,x^{2}+b x +a}\, c^{3}}"," ",0,"j/c^2*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)*x-1/24*j/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-1/3*j/c^2*b^4/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+1/4*j/c^3*b^3*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+2*j/c^2*b^3*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+2/3*i/c*b^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+1/3*h*a/c/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b+16/3*h*a*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-1/2*i/c^2*b^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+1/12*i/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-16/3*g*c*b/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-8*i*b*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-4*i/c*b^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+1/6*h/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+2/3*f/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*b-i*x^2/c/(c*x^2+b*x+a)^(3/2)+1/24*i/c^3*b^2/(c*x^2+b*x+a)^(3/2)-2/3*i*a/c^2/(c*x^2+b*x+a)^(3/2)-1/2*h*x/c/(c*x^2+b*x+a)^(3/2)+1/12*h/c^2*b/(c*x^2+b*x+a)^(3/2)-8/3*g*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-1/3*j*x^3/c/(c*x^2+b*x+a)^(3/2)-1/48*j/c^4*b^3/(c*x^2+b*x+a)^(3/2)-j/c^2*x/(c*x^2+b*x+a)^(1/2)+1/2*j/c^3*b/(c*x^2+b*x+a)^(1/2)+4*j/c*b^2*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x-i/c*b*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+1/2*j/c^2*b^2*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-2/3*g*b/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x-1/3*g/c*b^2/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+4/3*f/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x*c+32/3*f*c^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+16/3*f*c/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b+1/12*h/c^2*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+4/3*h*b^2/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*x+2/3*h/c*b^3/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+2/3*h*a/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)*x+8/3*h*a/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)*b+1/2*j/c^2*b*x^2/(c*x^2+b*x+a)^(3/2)+1/8*j/c^3*b^2*x/(c*x^2+b*x+a)^(3/2)-1/48*j/c^4*b^5/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)-1/6*j/c^3*b^5/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)-1/4*i/c^2*b*x/(c*x^2+b*x+a)^(3/2)+1/24*i/c^3*b^4/(4*a*c-b^2)/(c*x^2+b*x+a)^(3/2)+1/3*i/c^2*b^4/(4*a*c-b^2)^2/(c*x^2+b*x+a)^(1/2)+1/2*j/c^3*b^3/(4*a*c-b^2)/(c*x^2+b*x+a)^(1/2)-1/3*g/c/(c*x^2+b*x+a)^(3/2)+j/c^(5/2)*ln((c*x+1/2*b)/c^(1/2)+(c*x^2+b*x+a)^(1/2))+1/3*j/c^3*b*a/(c*x^2+b*x+a)^(3/2)","B"
366,1,1453,337,0.018000," ","int((j*x^4+i*x^3+h*x^2+g*x+f)/(-c*x^2+b*x+a)^(5/2),x)","-\frac{4 a \,b^{2} j x}{\left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}\, c}-\frac{8 a b i x}{\left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}}-\frac{16 a c h x}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}}-\frac{b^{4} j x}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}\, c^{2}}-\frac{2 b^{3} i x}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}\, c}+\frac{4 b^{2} h x}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}}+\frac{16 b c g x}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}}+\frac{32 c^{2} f x}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}}+\frac{2 a \,b^{3} j}{\left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}\, c^{2}}+\frac{4 a \,b^{2} i}{\left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}\, c}+\frac{a \,b^{2} j x}{2 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{a b i x}{\left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{8 a b h}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}}+\frac{2 a h x}{3 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{b^{5} j}{6 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}\, c^{3}}+\frac{b^{4} i}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}\, c^{2}}+\frac{b^{4} j x}{24 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{2 b^{3} h}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}\, c}+\frac{b^{3} i x}{12 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{b^{2} h x}{6 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{8 b^{2} g}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}}-\frac{16 b c f}{3 \left(-4 a c -b^{2}\right)^{2} \sqrt{-c \,x^{2}+b x +a}}-\frac{2 b g x}{3 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{4 c f x}{3 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{j \,x^{3}}{3 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{a \,b^{3} j}{4 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{a \,b^{2} i}{2 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{a b h}{3 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{b^{5} j}{48 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}-\frac{b^{4} i}{24 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{b^{3} h}{12 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{b^{2} g}{3 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}+\frac{b^{2} j x}{\left(-4 a c -b^{2}\right) \sqrt{-c \,x^{2}+b x +a}\, c^{2}}+\frac{b j \,x^{2}}{2 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{2 b f}{3 \left(-4 a c -b^{2}\right) \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}}}+\frac{i \,x^{2}}{\left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{b^{3} j}{2 \left(-4 a c -b^{2}\right) \sqrt{-c \,x^{2}+b x +a}\, c^{3}}-\frac{b^{2} j x}{8 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{b i x}{4 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{h x}{2 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{a b j}{3 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}-\frac{2 a i}{3 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}-\frac{b^{3} j}{48 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{4}}-\frac{b^{2} i}{24 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{3}}+\frac{b h}{12 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c^{2}}+\frac{g}{3 \left(-c \,x^{2}+b x +a \right)^{\frac{3}{2}} c}-\frac{j x}{\sqrt{-c \,x^{2}+b x +a}\, c^{2}}+\frac{j \arctan \left(\frac{\left(x -\frac{b}{2 c}\right) \sqrt{c}}{\sqrt{-c \,x^{2}+b x +a}}\right)}{c^{\frac{5}{2}}}-\frac{b j}{2 \sqrt{-c \,x^{2}+b x +a}\, c^{3}}"," ",0,"1/3*g/c/(-c*x^2+b*x+a)^(3/2)+j/c^(5/2)*arctan(c^(1/2)*(x-1/2/c*b)/(-c*x^2+b*x+a)^(1/2))+16/3*g*c*b/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)*x+1/12*i/c^2*b^3/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)*x-2/3*i/c*b^3/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)*x-1/2*i/c^2*b^2*a/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)-8*i*b*a/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)*x+4*i/c*b^2*a/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)-1/6*h/c*b^2/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)*x-1/3*h*a/c/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)*b-16/3*h*a*c/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)*x+2*j/c^2*b^3*a/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)+j/c^2*b^2/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(1/2)*x+1/24*j/c^3*b^4/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)*x-1/3*j/c^2*b^4/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)*x-1/4*j/c^3*b^3*a/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)+1/2*h*x/c/(-c*x^2+b*x+a)^(3/2)+1/12*h/c^2*b/(-c*x^2+b*x+a)^(3/2)-8/3*g*b^2/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)+2/3*f/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)*b+i*x^2/c/(-c*x^2+b*x+a)^(3/2)-1/24*i/c^3*b^2/(-c*x^2+b*x+a)^(3/2)-2/3*i*a/c^2/(-c*x^2+b*x+a)^(3/2)+1/3*j*x^3/c/(-c*x^2+b*x+a)^(3/2)-1/48*j/c^4*b^3/(-c*x^2+b*x+a)^(3/2)-j/c^2*x/(-c*x^2+b*x+a)^(1/2)-1/2*j/c^3*b/(-c*x^2+b*x+a)^(1/2)+i/c*b*a/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)*x+1/2*j/c^2*b^2*a/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)*x-4*j/c*b^2*a/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)*x-1/3*j/c^3*b*a/(-c*x^2+b*x+a)^(3/2)-1/2*j/c^3*b^3/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(1/2)-1/4*i/c^2*b*x/(-c*x^2+b*x+a)^(3/2)-1/24*i/c^3*b^4/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)+1/3*i/c^2*b^4/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)-4/3*f/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)*x*c+32/3*f*c^2/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)*x-16/3*f*c/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)*b-2/3*g*b/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)*x+1/3*g/c*b^2/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)+1/12*h/c^2*b^3/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)+4/3*h*b^2/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)*x-2/3*h/c*b^3/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)+2/3*h*a/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)*x+8/3*h*a/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)*b+1/2*j/c^2*b*x^2/(-c*x^2+b*x+a)^(3/2)-1/8*j/c^3*b^2*x/(-c*x^2+b*x+a)^(3/2)-1/48*j/c^4*b^5/(-4*a*c-b^2)/(-c*x^2+b*x+a)^(3/2)+1/6*j/c^3*b^5/(-4*a*c-b^2)^2/(-c*x^2+b*x+a)^(1/2)","B"
367,1,5924,588,0.076000," ","int((e*x+d)^m*(5*x^2+2*x+3)^3*(4*x^4-5*x^3+3*x^2+x+2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
368,1,3222,432,0.035000," ","int((e*x+d)^m*(5*x^2+2*x+3)^2*(4*x^4-5*x^3+3*x^2+x+2),x)","\text{output too large to display}"," ",0,"(e*x+d)^(1+m)*(100*e^8*m^8*x^8-45*e^8*m^8*x^7+3600*e^8*m^7*x^8-800*d*e^7*m^7*x^7+111*e^8*m^8*x^6-1665*e^8*m^7*x^7+54600*e^8*m^6*x^8+315*d*e^7*m^7*x^6-22400*d*e^7*m^6*x^7-37*e^8*m^8*x^5+4218*e^8*m^7*x^6-25830*e^8*m^6*x^7+453600*e^8*m^5*x^8+5600*d^2*e^6*m^6*x^6-666*d*e^7*m^7*x^5+9450*d*e^7*m^6*x^6-257600*d*e^7*m^5*x^7+148*e^8*m^8*x^4-1443*e^8*m^7*x^5+67044*e^8*m^6*x^6-218610*e^8*m^5*x^7+2244900*e^8*m^4*x^8-1890*d^2*e^6*m^6*x^5+117600*d^2*e^6*m^5*x^6+185*d*e^7*m^7*x^4-21312*d*e^7*m^6*x^5+114660*d*e^7*m^5*x^6-1568000*d*e^7*m^4*x^7+65*e^8*m^8*x^3+5920*e^8*m^7*x^4-23532*e^8*m^6*x^5+579642*e^8*m^5*x^6-1098405*e^8*m^4*x^7+6728400*e^8*m^3*x^8-33600*d^3*e^5*m^5*x^5+3330*d^2*e^6*m^6*x^4-45360*d^2*e^6*m^5*x^5+980000*d^2*e^6*m^4*x^6-592*d*e^7*m^7*x^3+6290*d*e^7*m^6*x^4-274392*d*e^7*m^5*x^5+727650*d*e^7*m^4*x^6-5415200*d*e^7*m^3*x^7+107*e^8*m^8*x^2+2665*e^8*m^7*x^3+99160*e^8*m^6*x^4-208458*e^8*m^5*x^5+2965809*e^8*m^4*x^6-3332385*e^8*m^3*x^7+11812400*e^8*m^2*x^8+9450*d^3*e^5*m^5*x^4-504000*d^3*e^5*m^4*x^5-740*d^2*e^6*m^6*x^3+89910*d^2*e^6*m^5*x^4-415800*d^2*e^6*m^4*x^5+4116000*d^2*e^6*m^3*x^6-195*d*e^7*m^7*x^2-21312*d*e^7*m^6*x^3+86210*d*e^7*m^5*x^4-1831500*d*e^7*m^4*x^5+2595285*d*e^7*m^3*x^6-10505600*d*e^7*m^2*x^7+33*e^8*m^8*x+4494*e^8*m^7*x^2+45890*e^8*m^6*x^3+902800*e^8*m^5*x^4-1090353*e^8*m^4*x^5+9134412*e^8*m^3*x^6-5906520*e^8*m^2*x^7+10958400*e^8*m*x^8+168000*d^4*e^4*m^4*x^4-13320*d^3*e^5*m^5*x^3+179550*d^3*e^5*m^4*x^4-2856000*d^3*e^5*m^3*x^5+1776*d^2*e^6*m^6*x^2-22200*d^2*e^6*m^5*x^3+922410*d^2*e^6*m^4*x^4-1871100*d^2*e^6*m^3*x^5+9094400*d^2*e^6*m^2*x^6-214*d*e^7*m^7*x-7410*d*e^7*m^6*x^2-311392*d*e^7*m^5*x^3+611240*d*e^7*m^4*x^4-6805854*d*e^7*m^3*x^5+5159700*d*e^7*m^2*x^6-10454400*d*e^7*m*x^7+18*e^8*m^8+1419*e^8*m^7*x+79608*e^8*m^6*x^2+430690*e^8*m^5*x^3+4850404*e^8*m^4*x^4-3422907*e^8*m^3*x^5+16387596*e^8*m^2*x^6-5519340*e^8*m*x^7+4032000*e^8*x^8-37800*d^4*e^4*m^4*x^3+1680000*d^4*e^4*m^3*x^4+2220*d^3*e^5*m^5*x^2-306360*d^3*e^5*m^4*x^3+1181250*d^3*e^5*m^3*x^4-7560000*d^3*e^5*m^2*x^5+390*d^2*e^6*m^6*x+58608*d^2*e^6*m^5*x^2-256040*d^2*e^6*m^4*x^3+4545450*d^2*e^6*m^3*x^4-4345110*d^2*e^6*m^2*x^5+9878400*d^2*e^6*m*x^6-33*d*e^7*m^7-8560*d*e^7*m^6*x-115440*d*e^7*m^5*x^2-2365632*d*e^7*m^4*x^3+2395565*d*e^7*m^3*x^4-13971348*d*e^7*m^2*x^5+5227740*d*e^7*m*x^6-4032000*d*e^7*x^7+792*e^8*m^7+25872*e^8*m^6*x+772326*e^8*m^5*x^2+2389985*e^8*m^4*x^3+15608080*e^8*m^3*x^4-6238718*e^8*m^2*x^5+15456528*e^8*m*x^6-2041200*e^8*x^7-672000*d^5*e^3*m^3*x^3+39960*d^4*e^4*m^4*x^2-567000*d^4*e^4*m^3*x^3+5880000*d^4*e^4*m^2*x^4-3552*d^3*e^5*m^5*x+59940*d^3*e^5*m^4*x^2-2464200*d^3*e^5*m^3*x^3+3449250*d^3*e^5*m^2*x^4-9206400*d^3*e^5*m*x^5+214*d^2*e^6*m^6+14040*d^2*e^6*m^5*x+758352*d^2*e^6*m^4*x^2-1420800*d^2*e^6*m^3*x^3+11302020*d^2*e^6*m^2*x^4-4887540*d^2*e^6*m*x^5+4032000*d^2*e^6*x^6-1386*d*e^7*m^6-142096*d*e^7*m^5*x-945750*d*e^7*m^4*x^2-9939088*d*e^7*m^3*x^3+5136710*d*e^7*m^2*x^4-14497488*d*e^7*m*x^5+2041200*d*e^7*x^6+14868*e^8*m^6+260106*e^8*m^5*x+4453233*e^8*m^4*x^2+7946185*e^8*m^3*x^3+29064240*e^8*m^2*x^4-5957592*e^8*m*x^5+5754240*e^8*x^6+113400*d^5*e^3*m^3*x^2-4032000*d^5*e^3*m^2*x^3-4440*d^4*e^4*m^4*x+799200*d^4*e^4*m^3*x^2-2457000*d^4*e^4*m^2*x^3+8400000*d^4*e^4*m*x^4-390*d^3*e^5*m^5-110112*d^3*e^5*m^4*x+588300*d^3*e^5*m^3*x^2-8325000*d^3*e^5*m^2*x^3+4479300*d^3*e^5*m*x^4-4032000*d^3*e^5*x^5+8346*d^2*e^6*m^5+202800*d^2*e^6*m^4*x+4821840*d^2*e^6*m^3*x^2-3899060*d^2*e^6*m^2*x^3+13346640*d^2*e^6*m*x^4-2041200*d^2*e^6*x^5-24486*d*e^7*m^5-1260460*d*e^7*m^4*x-4332705*d*e^7*m^3*x^2-22675968*d*e^7*m^2*x^3+5510040*d*e^7*m*x^4-5754240*d*e^7*x^5+155232*e^8*m^5+1567797*e^8*m^4*x+15458076*e^8*m^3*x^2+15254460*e^8*m^2*x^3+28238400*e^8*m*x^4-2237760*e^8*x^5+2016000*d^6*e^2*m^2*x^2-79920*d^5*e^3*m^3*x+1360800*d^5*e^3*m^2*x^2-7392000*d^5*e^3*m*x^3+3552*d^4*e^4*m^4-111000*d^4*e^4*m^3*x+4995000*d^4*e^4*m^2*x^2-3969000*d^4*e^4*m*x^3+4032000*d^4*e^4*x^4-13650*d^3*e^5*m^4-1296480*d^3*e^5*m^3*x+2497500*d^3*e^5*m^2*x^2-11908080*d^3*e^5*m*x^3+2041200*d^3*e^5*x^4+133750*d^2*e^6*m^4+1485900*d^2*e^6*m^3*x+15351744*d^2*e^6*m^2*x^2-4950600*d^2*e^6*m*x^3+5754240*d^2*e^6*x^4-235620*d*e^7*m^4-6385546*d*e^7*m^3*x-10840440*d*e^7*m^2*x^2-25553088*d*e^7*m*x^3+2237760*d*e^7*x^4+983682*e^8*m^4+5752131*e^8*m^3*x+31059532*e^8*m^2*x^2+15207660*e^8*m*x^3+10741248*e^8*x^4-226800*d^6*e^2*m^2*x+6048000*d^6*e^2*m*x^2+4440*d^5*e^3*m^3-1438560*d^5*e^3*m^2*x+3288600*d^5*e^3*m*x^2-4032000*d^5*e^3*x^3+106560*d^4*e^4*m^3-954600*d^4*e^4*m^2*x+9990000*d^4*e^4*m*x^2-2041200*d^4*e^4*x^3-189150*d^3*e^5*m^3-7050720*d^3*e^5*m^2*x+4204680*d^3*e^5*m*x^2-5754240*d^3*e^5*x^3+1126710*d^2*e^6*m^3+5693610*d^2*e^6*m^2*x+21972672*d^2*e^6*m*x^2-2237760*d^2*e^6*x^3-1332177*d*e^7*m^3-18145060*d*e^7*m^2*x-13242060*d*e^7*m*x^2-10741248*d*e^7*x^3+3864168*e^8*m^3+12377178*e^8*m^2*x+32300304*e^8*m*x^2+5896800*e^8*x^3-4032000*d^7*e*m*x+79920*d^6*e^2*m^2-2268000*d^6*e^2*m*x+4032000*d^6*e^2*x^2+106560*d^5*e^3*m^2-7112880*d^5*e^3*m*x+2041200*d^5*e^3*x^2+1189920*d^4*e^4*m^2-3085800*d^4*e^4*m*x+5754240*d^4*e^4*x^2-1296750*d^3*e^5*m^2-16602048*d^3*e^5*m*x+2237760*d^3*e^5*x^2+5258836*d^2*e^6*m^2+10293660*d^2*e^6*m*x+10741248*d^2*e^6*x^2-4419954*d*e^7*m^2-25828944*d*e^7*m*x-5896800*d*e^7*x^2+9162072*e^8*m^2+13944744*e^8*m*x+12942720*e^8*x^2+226800*d^7*e*m-4032000*d^7*e*x+1358640*d^6*e^2*m-2041200*d^6*e^2*x+848040*d^5*e^3*m-5754240*d^5*e^3*x+5860800*d^4*e^4*m-2237760*d^4*e^4*x-4396860*d^3*e^5*m-10741248*d^3*e^5*x+12886224*d^2*e^6*m+5896800*d^2*e^6*x-7957224*d*e^7*m-12942720*d*e^7*x+11946528*e^8*m+5987520*e^8*x+4032000*d^8+2041200*d^7*e+5754240*d^6*e^2+2237760*d^5*e^3+10741248*d^4*e^4-5896800*d^3*e^5+12942720*d^2*e^6-5987520*d*e^7+6531840*e^8)/e^9/(m^9+45*m^8+870*m^7+9450*m^6+63273*m^5+269325*m^4+723680*m^3+1172700*m^2+1026576*m+362880)","B"
369,1,1504,292,0.016000," ","int((e*x+d)^m*(5*x^2+2*x+3)*(4*x^4-5*x^3+3*x^2+x+2),x)","\frac{\left(20 e^{6} m^{6} x^{6}-17 e^{6} m^{6} x^{5}+420 e^{6} m^{5} x^{6}-120 d \,e^{5} m^{5} x^{5}+17 e^{6} m^{6} x^{4}-374 e^{6} m^{5} x^{5}+3500 e^{6} m^{4} x^{6}+85 d \,e^{5} m^{5} x^{4}-1800 d \,e^{5} m^{4} x^{5}-4 e^{6} m^{6} x^{3}+391 e^{6} m^{5} x^{4}-3230 e^{6} m^{4} x^{5}+14700 e^{6} m^{3} x^{6}+600 d^{2} e^{4} m^{4} x^{4}-68 d \,e^{5} m^{5} x^{3}+1445 d \,e^{5} m^{4} x^{4}-10200 d \,e^{5} m^{3} x^{5}+21 e^{6} m^{6} x^{2}-96 e^{6} m^{5} x^{3}+3519 e^{6} m^{4} x^{4}-13940 e^{6} m^{3} x^{5}+32480 e^{6} m^{2} x^{6}-340 d^{2} e^{4} m^{4} x^{3}+6000 d^{2} e^{4} m^{3} x^{4}+12 d \,e^{5} m^{5} x^{2}-1292 d \,e^{5} m^{4} x^{3}+8925 d \,e^{5} m^{3} x^{4}-27000 d \,e^{5} m^{2} x^{5}+7 e^{6} m^{6} x +525 e^{6} m^{5} x^{2}-904 e^{6} m^{4} x^{3}+15725 e^{6} m^{3} x^{4}-31433 e^{6} m^{2} x^{5}+35280 e^{6} m \,x^{6}-2400 d^{3} e^{3} m^{3} x^{3}+204 d^{2} e^{4} m^{4} x^{2}-4420 d^{2} e^{4} m^{3} x^{3}+21000 d^{2} e^{4} m^{2} x^{4}-42 d \,e^{5} m^{5} x +252 d \,e^{5} m^{4} x^{2}-8908 d \,e^{5} m^{3} x^{3}+25075 d \,e^{5} m^{2} x^{4}-32880 d \,e^{5} m \,x^{5}+6 e^{6} m^{6}+182 e^{6} m^{5} x +5187 e^{6} m^{4} x^{2}-4224 e^{6} m^{3} x^{3}+36448 e^{6} m^{2} x^{4}-34646 e^{6} m \,x^{5}+14400 x^{6} e^{6}+1020 d^{3} e^{3} m^{3} x^{2}-14400 d^{3} e^{3} m^{2} x^{3}-24 d^{2} e^{4} m^{4} x +3264 d^{2} e^{4} m^{3} x^{2}-18020 d^{2} e^{4} m^{2} x^{3}+30000 d^{2} e^{4} m \,x^{4}-7 d \,e^{5} m^{5}-966 d \,e^{5} m^{4} x +1956 d \,e^{5} m^{3} x^{2}-27268 d \,e^{5} m^{2} x^{3}+31790 d \,e^{5} m \,x^{4}-14400 d \,e^{5} x^{5}+162 e^{6} m^{5}+1890 e^{6} m^{4} x +25599 e^{6} m^{3} x^{2}-10180 e^{6} m^{2} x^{3}+41004 e^{6} m \,x^{4}-14280 e^{6} x^{5}+7200 d^{4} e^{2} m^{2} x^{2}-408 d^{3} e^{3} m^{3} x +10200 d^{3} e^{3} m^{2} x^{2}-26400 d^{3} e^{3} m \,x^{3}+42 d^{2} e^{4} m^{4}-456 d^{2} e^{4} m^{3} x +16932 d^{2} e^{4} m^{2} x^{2}-28220 d^{2} e^{4} m \,x^{3}+14400 d^{2} e^{4} x^{4}-175 d \,e^{5} m^{4}-8442 d \,e^{5} m^{3} x +6804 d \,e^{5} m^{2} x^{2}-36720 d \,e^{5} m \,x^{3}+14280 d \,e^{5} x^{4}+1770 e^{6} m^{4}+9940 e^{6} m^{3} x +65352 e^{6} m^{2} x^{2}-11808 e^{6} m \,x^{3}+17136 e^{6} x^{4}-2040 d^{4} e^{2} m^{2} x +21600 d^{4} e^{2} m \,x^{2}+24 d^{3} e^{3} m^{3}-5712 d^{3} e^{3} m^{2} x +23460 d^{3} e^{3} m \,x^{2}-14400 d^{3} e^{3} x^{3}+924 d^{2} e^{4} m^{3}-3000 d^{2} e^{4} m^{2} x +31008 d^{2} e^{4} m \,x^{2}-14280 d^{2} e^{4} x^{3}-1715 d \,e^{5} m^{3}-34314 d \,e^{5} m^{2} x +10128 d \,e^{5} m \,x^{2}-17136 d \,e^{5} x^{3}+9990 e^{6} m^{3}+27503 e^{6} m^{2} x +79716 e^{6} m \,x^{2}-5040 e^{6} x^{3}-14400 d^{5} e m x +408 d^{4} e^{2} m^{2}-16320 d^{4} e^{2} m x +14400 d^{4} e^{2} x^{2}+432 d^{3} e^{3} m^{2}-22440 d^{3} e^{3} m x +14280 d^{3} e^{3} x^{2}+7518 d^{2} e^{4} m^{2}-7608 d^{2} e^{4} m x +17136 d^{2} e^{4} x^{2}-8225 d \,e^{5} m^{2}-62076 d \,e^{5} m x +5040 d \,e^{5} x^{2}+30624 e^{6} m^{2}+36918 e^{6} m x +35280 e^{6} x^{2}+2040 d^{5} e m -14400 d^{5} e x +5304 d^{4} e^{2} m -14280 d^{4} e^{2} x +2568 d^{3} e^{3} m -17136 d^{3} e^{3} x +26796 d^{2} e^{4} m -5040 d^{2} e^{4} x -19278 d \,e^{5} m -35280 d \,e^{5} x +48168 e^{6} m +17640 e^{6} x +14400 d^{6}+14280 d^{5} e +17136 d^{4} e^{2}+5040 d^{3} e^{3}+35280 d^{2} e^{4}-17640 d \,e^{5}+30240 e^{6}\right) \left(e x +d \right)^{m +1}}{\left(m^{7}+28 m^{6}+322 m^{5}+1960 m^{4}+6769 m^{3}+13132 m^{2}+13068 m +5040\right) e^{7}}"," ",0,"(e*x+d)^(1+m)*(20*e^6*m^6*x^6-17*e^6*m^6*x^5+420*e^6*m^5*x^6-120*d*e^5*m^5*x^5+17*e^6*m^6*x^4-374*e^6*m^5*x^5+3500*e^6*m^4*x^6+85*d*e^5*m^5*x^4-1800*d*e^5*m^4*x^5-4*e^6*m^6*x^3+391*e^6*m^5*x^4-3230*e^6*m^4*x^5+14700*e^6*m^3*x^6+600*d^2*e^4*m^4*x^4-68*d*e^5*m^5*x^3+1445*d*e^5*m^4*x^4-10200*d*e^5*m^3*x^5+21*e^6*m^6*x^2-96*e^6*m^5*x^3+3519*e^6*m^4*x^4-13940*e^6*m^3*x^5+32480*e^6*m^2*x^6-340*d^2*e^4*m^4*x^3+6000*d^2*e^4*m^3*x^4+12*d*e^5*m^5*x^2-1292*d*e^5*m^4*x^3+8925*d*e^5*m^3*x^4-27000*d*e^5*m^2*x^5+7*e^6*m^6*x+525*e^6*m^5*x^2-904*e^6*m^4*x^3+15725*e^6*m^3*x^4-31433*e^6*m^2*x^5+35280*e^6*m*x^6-2400*d^3*e^3*m^3*x^3+204*d^2*e^4*m^4*x^2-4420*d^2*e^4*m^3*x^3+21000*d^2*e^4*m^2*x^4-42*d*e^5*m^5*x+252*d*e^5*m^4*x^2-8908*d*e^5*m^3*x^3+25075*d*e^5*m^2*x^4-32880*d*e^5*m*x^5+6*e^6*m^6+182*e^6*m^5*x+5187*e^6*m^4*x^2-4224*e^6*m^3*x^3+36448*e^6*m^2*x^4-34646*e^6*m*x^5+14400*e^6*x^6+1020*d^3*e^3*m^3*x^2-14400*d^3*e^3*m^2*x^3-24*d^2*e^4*m^4*x+3264*d^2*e^4*m^3*x^2-18020*d^2*e^4*m^2*x^3+30000*d^2*e^4*m*x^4-7*d*e^5*m^5-966*d*e^5*m^4*x+1956*d*e^5*m^3*x^2-27268*d*e^5*m^2*x^3+31790*d*e^5*m*x^4-14400*d*e^5*x^5+162*e^6*m^5+1890*e^6*m^4*x+25599*e^6*m^3*x^2-10180*e^6*m^2*x^3+41004*e^6*m*x^4-14280*e^6*x^5+7200*d^4*e^2*m^2*x^2-408*d^3*e^3*m^3*x+10200*d^3*e^3*m^2*x^2-26400*d^3*e^3*m*x^3+42*d^2*e^4*m^4-456*d^2*e^4*m^3*x+16932*d^2*e^4*m^2*x^2-28220*d^2*e^4*m*x^3+14400*d^2*e^4*x^4-175*d*e^5*m^4-8442*d*e^5*m^3*x+6804*d*e^5*m^2*x^2-36720*d*e^5*m*x^3+14280*d*e^5*x^4+1770*e^6*m^4+9940*e^6*m^3*x+65352*e^6*m^2*x^2-11808*e^6*m*x^3+17136*e^6*x^4-2040*d^4*e^2*m^2*x+21600*d^4*e^2*m*x^2+24*d^3*e^3*m^3-5712*d^3*e^3*m^2*x+23460*d^3*e^3*m*x^2-14400*d^3*e^3*x^3+924*d^2*e^4*m^3-3000*d^2*e^4*m^2*x+31008*d^2*e^4*m*x^2-14280*d^2*e^4*x^3-1715*d*e^5*m^3-34314*d*e^5*m^2*x+10128*d*e^5*m*x^2-17136*d*e^5*x^3+9990*e^6*m^3+27503*e^6*m^2*x+79716*e^6*m*x^2-5040*e^6*x^3-14400*d^5*e*m*x+408*d^4*e^2*m^2-16320*d^4*e^2*m*x+14400*d^4*e^2*x^2+432*d^3*e^3*m^2-22440*d^3*e^3*m*x+14280*d^3*e^3*x^2+7518*d^2*e^4*m^2-7608*d^2*e^4*m*x+17136*d^2*e^4*x^2-8225*d*e^5*m^2-62076*d*e^5*m*x+5040*d*e^5*x^2+30624*e^6*m^2+36918*e^6*m*x+35280*e^6*x^2+2040*d^5*e*m-14400*d^5*e*x+5304*d^4*e^2*m-14280*d^4*e^2*x+2568*d^3*e^3*m-17136*d^3*e^3*x+26796*d^2*e^4*m-5040*d^2*e^4*x-19278*d*e^5*m-35280*d*e^5*x+48168*e^6*m+17640*e^6*x+14400*d^6+14280*d^5*e+17136*d^4*e^2+5040*d^3*e^3+35280*d^2*e^4-17640*d*e^5+30240*e^6)/e^7/(m^7+28*m^6+322*m^5+1960*m^4+6769*m^3+13132*m^2+13068*m+5040)","B"
370,0,0,229,0.258000," ","int((e*x+d)^m*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x)","\int \frac{\left(4 x^{4}-5 x^{3}+3 x^{2}+x +2\right) \left(e x +d \right)^{m}}{5 x^{2}+2 x +3}\, dx"," ",0,"int((e*x+d)^m*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3),x)","F"
371,0,0,354,0.125000," ","int((e*x+d)^m*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x)","\int \frac{\left(4 x^{4}-5 x^{3}+3 x^{2}+x +2\right) \left(e x +d \right)^{m}}{\left(5 x^{2}+2 x +3\right)^{2}}\, dx"," ",0,"int((e*x+d)^m*(4*x^4-5*x^3+3*x^2+x+2)/(5*x^2+2*x+3)^2,x)","F"
372,1,1244,519,0.019000," ","int((i*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^2+b*x+a)^3,x)","-\frac{30 a^{2} b i \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}\, c}+\frac{12 a^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{10 a \,b^{3} i \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}\, c^{2}}-\frac{6 a b g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{4 a c f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{b^{5} i \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}\, c^{3}}+\frac{2 b^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}-\frac{6 b c e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{12 c^{2} d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) \sqrt{4 a c -b^{2}}}+\frac{8 a^{2} i \ln \left(c \,x^{2}+b x +a \right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c}-\frac{4 a \,b^{2} i \ln \left(c \,x^{2}+b x +a \right)}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{2}}+\frac{b^{4} i \ln \left(c \,x^{2}+b x +a \right)}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{3}}+\frac{\frac{\left(25 a^{2} b \,c^{2} i -10 a^{2} c^{3} h -15 a \,b^{3} c i +8 a \,b^{2} c^{2} h -3 a b \,c^{3} g +2 a \,c^{4} f +2 b^{5} i -b^{4} c h +b^{2} c^{3} f -3 b \,c^{4} e +6 c^{5} d \right) x^{3}}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{2}}+\frac{\left(32 a^{3} c^{3} i +11 a^{2} b^{2} c^{2} i +2 a^{2} b \,c^{3} h -16 a^{2} c^{4} g -19 a \,b^{4} c i +8 a \,b^{3} c^{2} h -a \,b^{2} c^{3} g +6 a b \,c^{4} f +3 b^{6} i -b^{5} c h -b^{4} c^{2} g +3 b^{3} c^{3} f -9 b^{2} c^{4} e +18 b \,c^{5} d \right) x^{2}}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{3}}+\frac{\left(31 a^{3} b \,c^{2} i -6 a^{3} c^{3} h -22 a^{2} b^{3} c i +10 a^{2} b^{2} c^{2} h -5 a^{2} b \,c^{3} g -2 a^{2} c^{4} f +3 a \,b^{5} i -a \,b^{4} c h -a \,b^{3} c^{2} g +5 a \,b^{2} c^{3} f -5 a b \,c^{4} e +10 a \,c^{5} d -b^{3} c^{3} e +2 b^{2} c^{4} d \right) x}{\left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{3}}+\frac{24 a^{4} c^{2} i -21 a^{3} b^{2} c i +10 a^{3} b \,c^{2} h -8 a^{3} c^{3} g +3 a^{2} b^{4} i -a^{2} b^{3} c h -a^{2} b^{2} c^{2} g +6 a^{2} b \,c^{3} f -8 a^{2} c^{4} e -a \,b^{2} c^{3} e +10 a b \,c^{4} d -b^{3} c^{3} d}{2 \left(16 a^{2} c^{2}-8 a \,b^{2} c +b^{4}\right) c^{3}}}{\left(c \,x^{2}+b x +a \right)^{2}}"," ",0,"((25*a^2*b*c^2*i-10*a^2*c^3*h-15*a*b^3*c*i+8*a*b^2*c^2*h-3*a*b*c^3*g+2*a*c^4*f+2*b^5*i-b^4*c*h+b^2*c^3*f-3*b*c^4*e+6*c^5*d)/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*x^3+1/2*(32*a^3*c^3*i+11*a^2*b^2*c^2*i+2*a^2*b*c^3*h-16*a^2*c^4*g-19*a*b^4*c*i+8*a*b^3*c^2*h-a*b^2*c^3*g+6*a*b*c^4*f+3*b^6*i-b^5*c*h-b^4*c^2*g+3*b^3*c^3*f-9*b^2*c^4*e+18*b*c^5*d)/(16*a^2*c^2-8*a*b^2*c+b^4)/c^3*x^2+(31*a^3*b*c^2*i-6*a^3*c^3*h-22*a^2*b^3*c*i+10*a^2*b^2*c^2*h-5*a^2*b*c^3*g-2*a^2*c^4*f+3*a*b^5*i-a*b^4*c*h-a*b^3*c^2*g+5*a*b^2*c^3*f-5*a*b*c^4*e+10*a*c^5*d-b^3*c^3*e+2*b^2*c^4*d)/(16*a^2*c^2-8*a*b^2*c+b^4)/c^3*x+1/2/c^3*(24*a^4*c^2*i-21*a^3*b^2*c*i+10*a^3*b*c^2*h-8*a^3*c^3*g+3*a^2*b^4*i-a^2*b^3*c*h-a^2*b^2*c^2*g+6*a^2*b*c^3*f-8*a^2*c^4*e-a*b^2*c^3*e+10*a*b*c^4*d-b^3*c^3*d)/(16*a^2*c^2-8*a*b^2*c+b^4))/(c*x^2+b*x+a)^2+8/c/(16*a^2*c^2-8*a*b^2*c+b^4)*ln(c*x^2+b*x+a)*a^2*i-4/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)*ln(c*x^2+b*x+a)*a*b^2*i+1/2/c^3/(16*a^2*c^2-8*a*b^2*c+b^4)*ln(c*x^2+b*x+a)*b^4*i-30/c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*i+12/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*h+10/c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*i-6/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*g+4*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*f+2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*f-6*c/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*e+12*c^2/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d-1/c^3/(16*a^2*c^2-8*a*b^2*c+b^4)/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^5*i","B"
373,1,1960,747,0.013000," ","int((m*x^8+l*x^7+k*x^6+j*x^5+h*x^4+g*x^3+f*x^2+e*x+d)/(c*x^2+b*x+a),x)","\frac{m \,x^{7}}{7 c}-\frac{b m \,x^{6}}{6 c^{2}}+\frac{l \,x^{6}}{6 c}-\frac{a m \,x^{5}}{5 c^{2}}+\frac{b^{2} m \,x^{5}}{5 c^{3}}-\frac{b l \,x^{5}}{5 c^{2}}+\frac{k \,x^{5}}{5 c}+\frac{a b m \,x^{4}}{2 c^{3}}-\frac{a l \,x^{4}}{4 c^{2}}-\frac{b^{3} m \,x^{4}}{4 c^{4}}+\frac{b^{2} l \,x^{4}}{4 c^{3}}-\frac{b k \,x^{4}}{4 c^{2}}+\frac{j \,x^{4}}{4 c}+\frac{a^{2} m \,x^{3}}{3 c^{3}}-\frac{a \,b^{2} m \,x^{3}}{c^{4}}+\frac{2 a b l \,x^{3}}{3 c^{3}}-\frac{a k \,x^{3}}{3 c^{2}}+\frac{b^{4} m \,x^{3}}{3 c^{5}}-\frac{b^{3} l \,x^{3}}{3 c^{4}}+\frac{b^{2} k \,x^{3}}{3 c^{3}}-\frac{b j \,x^{3}}{3 c^{2}}+\frac{h \,x^{3}}{3 c}+\frac{2 a^{4} m \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}-\frac{16 a^{3} b^{2} m \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{5}}+\frac{7 a^{3} b l \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}-\frac{2 a^{3} k \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}+\frac{20 a^{2} b^{4} m \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{6}}-\frac{14 a^{2} b^{3} l \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{5}}+\frac{9 a^{2} b^{2} k \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}-\frac{5 a^{2} b j \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{3 a^{2} b m \,x^{2}}{2 c^{4}}+\frac{2 a^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{a^{2} l \,x^{2}}{2 c^{3}}-\frac{8 a \,b^{6} m \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{7}}+\frac{7 a \,b^{5} l \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{6}}-\frac{6 a \,b^{4} k \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{5}}+\frac{5 a \,b^{3} j \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}+\frac{2 a \,b^{3} m \,x^{2}}{c^{5}}-\frac{4 a \,b^{2} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{3 a \,b^{2} l \,x^{2}}{2 c^{4}}+\frac{3 a b g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{a b k \,x^{2}}{c^{3}}-\frac{2 a f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{a j \,x^{2}}{2 c^{2}}+\frac{b^{8} m \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{8}}-\frac{b^{7} l \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{7}}+\frac{b^{6} k \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{6}}-\frac{b^{5} j \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{5}}-\frac{b^{5} m \,x^{2}}{2 c^{6}}+\frac{b^{4} h \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{4}}+\frac{b^{4} l \,x^{2}}{2 c^{5}}-\frac{b^{3} g \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{3}}-\frac{b^{3} k \,x^{2}}{2 c^{4}}+\frac{b^{2} f \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c^{2}}+\frac{b^{2} j \,x^{2}}{2 c^{3}}-\frac{b e \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, c}-\frac{b h \,x^{2}}{2 c^{2}}+\frac{g \,x^{2}}{2 c}+\frac{2 d \arctan \left(\frac{2 c x +b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}}+\frac{2 a^{3} b m \ln \left(c \,x^{2}+b x +a \right)}{c^{5}}-\frac{a^{3} l \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}-\frac{a^{3} m x}{c^{4}}-\frac{5 a^{2} b^{3} m \ln \left(c \,x^{2}+b x +a \right)}{c^{6}}+\frac{3 a^{2} b^{2} l \ln \left(c \,x^{2}+b x +a \right)}{c^{5}}+\frac{6 a^{2} b^{2} m x}{c^{5}}-\frac{3 a^{2} b k \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}-\frac{3 a^{2} b l x}{c^{4}}+\frac{a^{2} j \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}+\frac{a^{2} k x}{c^{3}}+\frac{3 a \,b^{5} m \ln \left(c \,x^{2}+b x +a \right)}{c^{7}}-\frac{5 a \,b^{4} l \ln \left(c \,x^{2}+b x +a \right)}{2 c^{6}}-\frac{5 a \,b^{4} m x}{c^{6}}+\frac{2 a \,b^{3} k \ln \left(c \,x^{2}+b x +a \right)}{c^{5}}+\frac{4 a \,b^{3} l x}{c^{5}}-\frac{3 a \,b^{2} j \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}-\frac{3 a \,b^{2} k x}{c^{4}}+\frac{a b h \ln \left(c \,x^{2}+b x +a \right)}{c^{3}}+\frac{2 a b j x}{c^{3}}-\frac{a g \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{a h x}{c^{2}}-\frac{b^{7} m \ln \left(c \,x^{2}+b x +a \right)}{2 c^{8}}+\frac{b^{6} l \ln \left(c \,x^{2}+b x +a \right)}{2 c^{7}}+\frac{b^{6} m x}{c^{7}}-\frac{b^{5} k \ln \left(c \,x^{2}+b x +a \right)}{2 c^{6}}-\frac{b^{5} l x}{c^{6}}+\frac{b^{4} j \ln \left(c \,x^{2}+b x +a \right)}{2 c^{5}}+\frac{b^{4} k x}{c^{5}}-\frac{b^{3} h \ln \left(c \,x^{2}+b x +a \right)}{2 c^{4}}-\frac{b^{3} j x}{c^{4}}+\frac{b^{2} g \ln \left(c \,x^{2}+b x +a \right)}{2 c^{3}}+\frac{b^{2} h x}{c^{3}}-\frac{b f \ln \left(c \,x^{2}+b x +a \right)}{2 c^{2}}-\frac{b g x}{c^{2}}+\frac{e \ln \left(c \,x^{2}+b x +a \right)}{2 c}+\frac{f x}{c}"," ",0,"1/7*m*x^7/c-1/2/c^2*ln(c*x^2+b*x+a)*b*f-1/2/c^4*ln(c*x^2+b*x+a)*a^3*l+1/2/c^3*ln(c*x^2+b*x+a)*a^2*j-1/2/c^2*ln(c*x^2+b*x+a)*a*g-1/2/c^8*ln(c*x^2+b*x+a)*b^7*m+1/2/c^7*ln(c*x^2+b*x+a)*b^6*l-1/6/c^2*x^6*b*m+1/c^7*b^6*m*x-1/4/c^2*x^4*a*l-1/4/c^4*x^4*b^3*m+1/5/c^3*x^5*b^2*m-1/5/c^2*x^5*b*l-1/5/c^2*x^5*a*m+1/c^5*b^4*k*x-1/c^4*b^3*j*x+1/c^3*b^2*h*x-1/c^2*b*g*x+1/2/c^5*x^2*b^4*l-1/2/c^4*x^2*b^3*k-1/2/c^2*x^2*a*j-1/2/c^6*x^2*b^5*m-1/3/c^2*x^3*a*k+1/3/c^5*x^3*b^4*m-1/3/c^4*x^3*b^3*l+1/3/c^3*x^3*b^2*k-1/3/c^2*x^3*b*j+1/2/c^3*x^2*a^2*l-1/4/c^2*x^4*b*k+1/3/c^3*x^3*a^2*m+1/4/c^3*x^4*b^2*l+1/2/c^3*x^2*b^2*j-1/2/c^2*x^2*b*h-1/c^4*a^3*m*x+1/c^3*a^2*k*x-1/c^2*a*h*x-1/c^6*b^5*l*x-1/2/c^6*ln(c*x^2+b*x+a)*b^5*k+1/2/c^5*ln(c*x^2+b*x+a)*b^4*j-1/2/c^4*ln(c*x^2+b*x+a)*b^3*h+1/2/c^3*ln(c*x^2+b*x+a)*b^2*g+20/c^6/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b^4*m-14/c^5/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b^3*l+9/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b^2*k-16/c^5/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^3*b^2*m+7/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^3*b*l-5/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*b*j+7/c^6/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^5*l-6/c^5/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^4*k+2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*d+1/2/c*ln(c*x^2+b*x+a)*e+1/c*f*x+1/2/c*x^2*g+1/3/c*x^3*h+1/6/c*x^6*l+1/5/c*x^5*k+1/4/c*x^4*j+3/c^5*ln(c*x^2+b*x+a)*a^2*b^2*l-3/2/c^4*ln(c*x^2+b*x+a)*a^2*b*k+3/c^7*ln(c*x^2+b*x+a)*a*b^5*m-5/2/c^6*ln(c*x^2+b*x+a)*a*b^4*l+2/c^5*ln(c*x^2+b*x+a)*a*b^3*k-1/c^7/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^7*l+2/c^5*ln(c*x^2+b*x+a)*a^3*b*m-5/c^6*ln(c*x^2+b*x+a)*a^2*b^3*m-3/2/c^4*ln(c*x^2+b*x+a)*a*b^2*j+1/c^3*ln(c*x^2+b*x+a)*a*b*h+1/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^2*f-1/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b*e+1/c^8/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^8*m-3/c^4*a*b^2*k*x+2/c^3*a*b*j*x+6/c^5*a^2*b^2*m*x-3/c^4*a^2*b*l*x+2/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^4*m-2/c/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*f+1/c^6/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^6*k-1/c^5/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^5*j+1/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^4*h-1/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*b^3*g+1/c^3*x^2*a*b*k-5/c^6*a*b^4*m*x+4/c^5*a*b^3*l*x-3/2/c^4*x^2*a^2*b*m+2/c^5*x^2*a*b^3*m-3/2/c^4*x^2*a*b^2*l-1/c^4*x^3*a*b^2*m+2/3/c^3*x^3*a*b*l+1/2/c^3*x^4*a*b*m+5/c^4/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^3*j-4/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^2*h+3/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b*g-8/c^7/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a*b^6*m-2/c^3/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^3*k+2/c^2/(4*a*c-b^2)^(1/2)*arctan((2*c*x+b)/(4*a*c-b^2)^(1/2))*a^2*h","B"
374,1,166,167,0.033000," ","int((-7*x^2+4*x+1)^3*(x^2+5*x+2)*(5*x^2+2*x+3)^(1/2),x)","-\frac{343 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{7}}{50}-\frac{50519 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{6}}{2250}+\frac{190939 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{5}}{3000}-\frac{888751 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{4}}{105000}-\frac{90960857 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{3}}{1575000}+\frac{98060877 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{2}}{4375000}+\frac{1045360143 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x}{43750000}-\frac{540119881 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{78125000}-\frac{1968340667 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}}}{131250000}-\frac{77159983 \left(10 x +2\right) \sqrt{5 x^{2}+2 x +3}}{62500000}"," ",0,"-1968340667/131250000*(5*x^2+2*x+3)^(3/2)-343/50*x^7*(5*x^2+2*x+3)^(3/2)-50519/2250*x^6*(5*x^2+2*x+3)^(3/2)+190939/3000*x^5*(5*x^2+2*x+3)^(3/2)-888751/105000*x^4*(5*x^2+2*x+3)^(3/2)-90960857/1575000*x^3*(5*x^2+2*x+3)^(3/2)+98060877/4375000*x^2*(5*x^2+2*x+3)^(3/2)+1045360143/43750000*x*(5*x^2+2*x+3)^(3/2)-540119881/78125000*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))-77159983/62500000*(10*x+2)*(5*x^2+2*x+3)^(1/2)","A"
375,1,132,133,0.010000," ","int((-7*x^2+4*x+1)^2*(x^2+5*x+2)*(5*x^2+2*x+3)^(1/2),x)","\frac{49 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{5}}{40}+\frac{989 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{4}}{200}-\frac{25277 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{3}}{3000}-\frac{77509 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{2}}{25000}+\frac{1781669 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x}{250000}-\frac{17652061 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{3125000}+\frac{198439 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}}}{750000}-\frac{2521723 \left(10 x +2\right) \sqrt{5 x^{2}+2 x +3}}{2500000}"," ",0,"198439/750000*(5*x^2+2*x+3)^(3/2)+49/40*(5*x^2+2*x+3)^(3/2)*x^5+989/200*(5*x^2+2*x+3)^(3/2)*x^4-25277/3000*(5*x^2+2*x+3)^(3/2)*x^3-77509/25000*(5*x^2+2*x+3)^(3/2)*x^2+1781669/250000*(5*x^2+2*x+3)^(3/2)*x-17652061/3125000*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))-2521723/2500000*(10*x+2)*(5*x^2+2*x+3)^(1/2)","A"
376,1,98,99,0.007000," ","int((-7*x^2+4*x+1)*(x^2+5*x+2)*(5*x^2+2*x+3)^(1/2),x)","-\frac{7 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{3}}{30}-\frac{289 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x^{2}}{250}+\frac{2149 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}} x}{2500}-\frac{32431 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{31250}+\frac{7819 \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}}}{7500}-\frac{4633 \left(10 x +2\right) \sqrt{5 x^{2}+2 x +3}}{25000}"," ",0,"-7/30*(5*x^2+2*x+3)^(3/2)*x^3-289/250*(5*x^2+2*x+3)^(3/2)*x^2+2149/2500*(5*x^2+2*x+3)^(3/2)*x+7819/7500*(5*x^2+2*x+3)^(3/2)-4633/25000*(10*x+2)*(5*x^2+2*x+3)^(1/2)-32431/31250*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))","A"
377,1,403,134,0.090000," ","int((x^2+5*x+2)*(5*x^2+2*x+3)^(1/2)/(-7*x^2+4*x+1),x)","-\frac{\sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{25}-\frac{\left(10 x +2\right) \sqrt{5 x^{2}+2 x +3}}{140}-\frac{3 \left(-61+13 \sqrt{11}\right) \sqrt{11}\, \left(\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}-\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{70}-\frac{\left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{\sqrt{250-34 \sqrt{11}}}+\frac{\sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}{49}\right)}{154}-\frac{3 \sqrt{11}\, \left(61+13 \sqrt{11}\right) \left(\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}+\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{70}-\frac{\left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{\sqrt{250+34 \sqrt{11}}}+\frac{\sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}{49}\right)}{154}"," ",0,"-1/140*(10*x+2)*(5*x^2+2*x+3)^(1/2)-1/25*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))-3/154*(-61+13*11^(1/2))*11^(1/2)*(1/49*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/70*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))-3/154*11^(1/2)*(61+13*11^(1/2))*(1/49*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/70*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))","B"
378,1,1084,146,0.032000," ","int((x^2+5*x+2)*(5*x^2+2*x+3)^(1/2)/(-7*x^2+4*x+1)^2,x)","\left(\frac{183}{44}+\frac{39 \sqrt{11}}{44}\right) \left(-\frac{\left(5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right)^{\frac{3}{2}}}{49 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}+\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}+\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{10}-\frac{7 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{\sqrt{250+34 \sqrt{11}}}+\frac{\sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}{7}\right)}{500+68 \sqrt{11}}+\frac{\frac{\left(\frac{5000}{49}+\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}+\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{980}+\frac{\left(10 x +2\right) \sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}{98}}{\frac{250}{49}+\frac{34 \sqrt{11}}{49}}\right)+\frac{161 \sqrt{11}\, \left(\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}-\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{70}-\frac{\left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{\sqrt{250-34 \sqrt{11}}}+\frac{\sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}{49}\right)}{484}+\left(\frac{183}{44}-\frac{39 \sqrt{11}}{44}\right) \left(-\frac{\left(5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right)^{\frac{3}{2}}}{49 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}+\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}-\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{10}-\frac{7 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{\sqrt{250-34 \sqrt{11}}}+\frac{\sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}{7}\right)}{500-68 \sqrt{11}}+\frac{\frac{\left(\frac{5000}{49}-\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}-\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{980}+\frac{\left(10 x +2\right) \sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}{98}}{\frac{250}{49}-\frac{34 \sqrt{11}}{49}}\right)-\frac{161 \sqrt{11}\, \left(\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}+\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{70}-\frac{\left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{\sqrt{250+34 \sqrt{11}}}+\frac{\sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}{49}\right)}{484}"," ",0,"(183/44+39/44*11^(1/2))*(-1/49/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+1/98*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))+10/49/(250/49+34/49*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))))+161/484*11^(1/2)*(1/49*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/70*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))+(183/44-39/44*11^(1/2))*(-1/49/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+1/98*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))+10/49/(250/49-34/49*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))))-161/484*11^(1/2)*(1/49*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/70*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))","B"
379,1,2342,161,0.031000," ","int((x^2+5*x+2)*(5*x^2+2*x+3)^(1/2)/(-7*x^2+4*x+1)^3,x)","\text{Expression too large to display}"," ",0,"-21/968*(61+13*11^(1/2))*11^(1/2)*(-1/686/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))^2*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)-1/1372*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(-1/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+1/2*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))+10/(250/49+34/49*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))))+5/686/(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))))+3535/21296*11^(1/2)*(1/49*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/70*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))-21/968*(-61+13*11^(1/2))*11^(1/2)*(-1/686/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))^2*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)-1/1372*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(-1/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+1/2*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))+10/(250/49-34/49*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))))+5/686/(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))))-(-3535/1936+273/1936*11^(1/2))*(-1/49/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+1/98*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))+10/49/(250/49-34/49*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))))-(-3535/1936-273/1936*11^(1/2))*(-1/49/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+1/98*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))+10/49/(250/49+34/49*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))))-3535/21296*11^(1/2)*(1/49*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/70*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))","B"
380,1,185,186,0.036000," ","int((-7*x^2+4*x+1)^3*(x^2+5*x+2)*(5*x^2+2*x+3)^(3/2),x)","-\frac{343 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{7}}{60}-\frac{61103 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{6}}{3300}+\frac{1031177 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{5}}{20625}-\frac{796559 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{4}}{123750}-\frac{190236913 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{3}}{4950000}+\frac{2173004363 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{2}}{173250000}+\frac{837379699 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x}{72187500}-\frac{3357568053 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{781250000}-\frac{6133820867 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}}}{1203125000}-\frac{479652579 \left(10 x +2\right) \sqrt{5 x^{2}+2 x +3}}{625000000}-\frac{22840599 \left(10 x +2\right) \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}}}{125000000}"," ",0,"-6133820867/1203125000*(5*x^2+2*x+3)^(5/2)-343/60*x^7*(5*x^2+2*x+3)^(5/2)-61103/3300*x^6*(5*x^2+2*x+3)^(5/2)+1031177/20625*x^5*(5*x^2+2*x+3)^(5/2)-796559/123750*x^4*(5*x^2+2*x+3)^(5/2)-190236913/4950000*x^3*(5*x^2+2*x+3)^(5/2)+2173004363/173250000*x^2*(5*x^2+2*x+3)^(5/2)-3357568053/781250000*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))-479652579/625000000*(10*x+2)*(5*x^2+2*x+3)^(1/2)+837379699/72187500*x*(5*x^2+2*x+3)^(5/2)-22840599/125000000*(10*x+2)*(5*x^2+2*x+3)^(3/2)","A"
381,1,151,152,0.010000," ","int((-7*x^2+4*x+1)^2*(x^2+5*x+2)*(5*x^2+2*x+3)^(3/2),x)","\frac{49 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{5}}{50}+\frac{581 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{4}}{150}-\frac{18379 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{3}}{3000}-\frac{219271 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{2}}{105000}+\frac{86721 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x}{21875}-\frac{101512467 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{15625000}+\frac{505667 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}}}{2187500}-\frac{14501781 \left(10 x +2\right) \sqrt{5 x^{2}+2 x +3}}{12500000}-\frac{690561 \left(10 x +2\right) \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}}}{2500000}"," ",0,"505667/2187500*(5*x^2+2*x+3)^(5/2)+49/50*(5*x^2+2*x+3)^(5/2)*x^5+581/150*(5*x^2+2*x+3)^(5/2)*x^4-18379/3000*(5*x^2+2*x+3)^(5/2)*x^3-219271/105000*(5*x^2+2*x+3)^(5/2)*x^2-101512467/15625000*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))-14501781/12500000*(10*x+2)*(5*x^2+2*x+3)^(1/2)+86721/21875*(5*x^2+2*x+3)^(5/2)*x-690561/2500000*(10*x+2)*(5*x^2+2*x+3)^(3/2)","A"
382,1,117,118,0.008000," ","int((-7*x^2+4*x+1)*(x^2+5*x+2)*(5*x^2+2*x+3)^(3/2),x)","-\frac{7 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{3}}{40}-\frac{1163 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x^{2}}{1400}+\frac{2809 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}} x}{5250}-\frac{901453 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{625000}+\frac{149509 \left(5 x^{2}+2 x +3\right)^{\frac{5}{2}}}{262500}-\frac{128779 \left(10 x +2\right) \sqrt{5 x^{2}+2 x +3}}{500000}-\frac{18397 \left(10 x +2\right) \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}}}{300000}"," ",0,"149509/262500*(5*x^2+2*x+3)^(5/2)-7/40*(5*x^2+2*x+3)^(5/2)*x^3-1163/1400*(5*x^2+2*x+3)^(5/2)*x^2-901453/625000*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))-128779/500000*(10*x+2)*(5*x^2+2*x+3)^(1/2)+2809/5250*(5*x^2+2*x+3)^(5/2)*x-18397/300000*(10*x+2)*(5*x^2+2*x+3)^(3/2)","A"
383,1,730,153,0.020000," ","int((x^2+5*x+2)*(5*x^2+2*x+3)^(3/2)/(-7*x^2+4*x+1),x)","-\frac{21 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{250}-\frac{\left(10 x +2\right) \left(5 x^{2}+2 x +3\right)^{\frac{3}{2}}}{280}-\frac{3 \left(10 x +2\right) \sqrt{5 x^{2}+2 x +3}}{200}-\frac{3 \left(-61+13 \sqrt{11}\right) \sqrt{11}\, \left(\frac{\left(5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right)^{\frac{3}{2}}}{21}+\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(\frac{\left(\frac{5000}{49}-\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}-\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{200}+\frac{\left(10 x +2\right) \sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}{20}\right)}{14}+\frac{\left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}-\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{10}-\frac{7 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{\sqrt{250-34 \sqrt{11}}}+\frac{\sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}{7}\right)}{7}\right)}{154}-\frac{3 \sqrt{11}\, \left(61+13 \sqrt{11}\right) \left(\frac{\left(5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right)^{\frac{3}{2}}}{21}+\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(\frac{\left(\frac{5000}{49}+\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}+\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{200}+\frac{\left(10 x +2\right) \sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}{20}\right)}{14}+\frac{\left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \sqrt{5}\, \arcsinh \left(\frac{\sqrt{5}\, \left(x +\frac{1}{5}\right)}{\sqrt{\frac{250}{49}+\frac{34 \sqrt{11}}{49}-\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}}{20}}}\right)}{10}-\frac{7 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{\sqrt{250+34 \sqrt{11}}}+\frac{\sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}{7}\right)}{7}\right)}{154}"," ",0,"-1/280*(10*x+2)*(5*x^2+2*x+3)^(3/2)-3/200*(10*x+2)*(5*x^2+2*x+3)^(1/2)-21/250*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))-3/154*(-61+13*11^(1/2))*11^(1/2)*(1/21*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+1/14*(34/7-10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+1/7*(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))))-3/154*11^(1/2)*(61+13*11^(1/2))*(1/21*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+1/14*(34/7+10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+1/7*(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))))","B"
384,1,1828,165,0.023000," ","int((x^2+5*x+2)*(5*x^2+2*x+3)^(3/2)/(-7*x^2+4*x+1)^2,x)","\text{Expression too large to display}"," ",0,"161/484*11^(1/2)*(1/21*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+1/14*(34/7-10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+1/7*(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))))+(183/44-39/44*11^(1/2))*(-1/49/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(5/2)+3/98*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(1/3*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+1/2*(34/7-10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))))+20/49/(250/49-34/49*11^(1/2))*(1/40*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+3/80*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5)))))+(183/44+39/44*11^(1/2))*(-1/49/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(5/2)+3/98*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(1/3*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+1/2*(34/7+10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))))+20/49/(250/49+34/49*11^(1/2))*(1/40*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+3/80*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5)))))-161/484*11^(1/2)*(1/21*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+1/14*(34/7+10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+1/7*(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))))","B"
385,1,3828,177,0.022000," ","int((x^2+5*x+2)*(5*x^2+2*x+3)^(3/2)/(-7*x^2+4*x+1)^3,x)","\text{output too large to display}"," ",0,"3535/21296*11^(1/2)*(1/21*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+1/14*(34/7-10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+1/7*(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))))-21/968*(-61+13*11^(1/2))*11^(1/2)*(-1/686/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))^2*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(5/2)+1/1372*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(-1/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(5/2)+3/2*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(1/3*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+1/2*(34/7-10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))))+20/(250/49-34/49*11^(1/2))*(1/40*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+3/80*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5)))))+15/686/(250/49-34/49*11^(1/2))*(1/3*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+1/2*(34/7-10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))))-(-3535/1936-273/1936*11^(1/2))*(-1/49/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(5/2)+3/98*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(1/3*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+1/2*(34/7+10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))))+20/49/(250/49+34/49*11^(1/2))*(1/40*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+3/80*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5)))))-(-3535/1936+273/1936*11^(1/2))*(-1/49/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(5/2)+3/98*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(1/3*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+1/2*(34/7-10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+(250/49-34/49*11^(1/2))*(1/7*(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)+1/10*(34/7-10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))))+20/49/(250/49-34/49*11^(1/2))*(1/40*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(3/2)+3/80*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*(1/20*(10*x+2)*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/200*(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49-34/49*11^(1/2)-1/20*(34/7-10/7*11^(1/2))^2)^(1/2)*(x+1/5)))))-3535/21296*11^(1/2)*(1/21*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+1/14*(34/7+10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+1/7*(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))))-21/968*(61+13*11^(1/2))*11^(1/2)*(-1/686/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))^2*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(5/2)+1/1372*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(-1/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(5/2)+3/2*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(1/3*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+1/2*(34/7+10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))))+20/(250/49+34/49*11^(1/2))*(1/40*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+3/80*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5)))))+15/686/(250/49+34/49*11^(1/2))*(1/3*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(3/2)+1/2*(34/7+10/7*11^(1/2))*(1/20*(10*x+2)*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/200*(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5)))+(250/49+34/49*11^(1/2))*(1/7*(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)+1/10*(34/7+10/7*11^(1/2))*5^(1/2)*arcsinh(5^(1/2)/(250/49+34/49*11^(1/2)-1/20*(34/7+10/7*11^(1/2))^2)^(1/2)*(x+1/5))-7*(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))))","B"
386,1,147,148,0.026000," ","int((-7*x^2+4*x+1)^3*(x^2+5*x+2)/(5*x^2+2*x+3)^(1/2),x)","-\frac{343 \sqrt{5 x^{2}+2 x +3}\, x^{7}}{40}-\frac{1141 \sqrt{5 x^{2}+2 x +3}\, x^{6}}{40}+\frac{26159 \sqrt{5 x^{2}+2 x +3}\, x^{5}}{300}-\frac{47807 \sqrt{5 x^{2}+2 x +3}\, x^{4}}{3750}-\frac{5160533 \sqrt{5 x^{2}+2 x +3}\, x^{3}}{50000}+\frac{40722851 \sqrt{5 x^{2}+2 x +3}\, x^{2}}{750000}+\frac{5793077 \sqrt{5 x^{2}+2 x +3}\, x}{75000}-\frac{77513689 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{3125000}-\frac{16515809 \sqrt{5 x^{2}+2 x +3}}{156250}"," ",0,"-16515809/156250*(5*x^2+2*x+3)^(1/2)-77513689/3125000*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))-343/40*x^7*(5*x^2+2*x+3)^(1/2)-1141/40*x^6*(5*x^2+2*x+3)^(1/2)+26159/300*x^5*(5*x^2+2*x+3)^(1/2)-47807/3750*x^4*(5*x^2+2*x+3)^(1/2)-5160533/50000*x^3*(5*x^2+2*x+3)^(1/2)+40722851/750000*x^2*(5*x^2+2*x+3)^(1/2)+5793077/75000*x*(5*x^2+2*x+3)^(1/2)","A"
387,1,113,114,0.010000," ","int((-7*x^2+4*x+1)^2*(x^2+5*x+2)/(5*x^2+2*x+3)^(1/2),x)","\frac{49 \sqrt{5 x^{2}+2 x +3}\, x^{5}}{30}+\frac{5131 \sqrt{5 x^{2}+2 x +3}\, x^{4}}{750}-\frac{33259 \sqrt{5 x^{2}+2 x +3}\, x^{3}}{2500}-\frac{207427 \sqrt{5 x^{2}+2 x +3}\, x^{2}}{37500}+\frac{36073 \sqrt{5 x^{2}+2 x +3}\, x}{1875}-\frac{1719097 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{156250}-\frac{22053 \sqrt{5 x^{2}+2 x +3}}{31250}"," ",0,"-22053/31250*(5*x^2+2*x+3)^(1/2)-1719097/156250*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))+49/30*(5*x^2+2*x+3)^(1/2)*x^5+5131/750*(5*x^2+2*x+3)^(1/2)*x^4-33259/2500*(5*x^2+2*x+3)^(1/2)*x^3-207427/37500*(5*x^2+2*x+3)^(1/2)*x^2+36073/1875*(5*x^2+2*x+3)^(1/2)*x","A"
388,1,79,80,0.009000," ","int((-7*x^2+4*x+1)*(x^2+5*x+2)/(5*x^2+2*x+3)^(1/2),x)","-\frac{7 \sqrt{5 x^{2}+2 x +3}\, x^{3}}{20}-\frac{571 \sqrt{5 x^{2}+2 x +3}\, x^{2}}{300}+\frac{59 \sqrt{5 x^{2}+2 x +3}\, x}{30}-\frac{1901 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{1250}+\frac{463 \sqrt{5 x^{2}+2 x +3}}{125}"," ",0,"-7/20*(5*x^2+2*x+3)^(1/2)*x^3-571/300*(5*x^2+2*x+3)^(1/2)*x^2+59/30*(5*x^2+2*x+3)^(1/2)*x+463/125*(5*x^2+2*x+3)^(1/2)-1901/1250*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))","A"
389,1,204,115,0.019000," ","int((x^2+5*x+2)/(-7*x^2+4*x+1)/(5*x^2+2*x+3)^(1/2),x)","-\frac{\sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{35}+\frac{3 \left(-61+13 \sqrt{11}\right) \sqrt{11}\, \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{154 \sqrt{250-34 \sqrt{11}}}+\frac{3 \sqrt{11}\, \left(61+13 \sqrt{11}\right) \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{154 \sqrt{250+34 \sqrt{11}}}"," ",0,"-1/35*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))+3/154*(-61+13*11^(1/2))*11^(1/2)/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))+3/154*11^(1/2)*(61+13*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))","A"
390,1,510,130,0.021000," ","int((x^2+5*x+2)/(-7*x^2+4*x+1)^2/(5*x^2+2*x+3)^(1/2),x)","-\frac{161 \sqrt{11}\, \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{484 \sqrt{250-34 \sqrt{11}}}+\frac{161 \sqrt{11}\, \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{484 \sqrt{250+34 \sqrt{11}}}+\left(\frac{183}{44}-\frac{39 \sqrt{11}}{44}\right) \left(\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{14 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \sqrt{250-34 \sqrt{11}}}-\frac{\sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}{49 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}\right)+\left(\frac{183}{44}+\frac{39 \sqrt{11}}{44}\right) \left(\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{14 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \sqrt{250+34 \sqrt{11}}}-\frac{\sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}{49 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}\right)"," ",0,"-161/484*11^(1/2)/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))+(183/44-39/44*11^(1/2))*(-1/49/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/14*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))+161/484*11^(1/2)/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))+(183/44+39/44*11^(1/2))*(-1/49/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/14*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))","B"
391,1,1194,175,0.021000," ","int((x^2+5*x+2)/(-7*x^2+4*x+1)^3/(5*x^2+2*x+3)^(1/2),x)","-\frac{3535 \sqrt{11}\, \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{21296 \sqrt{250-34 \sqrt{11}}}+\frac{3535 \sqrt{11}\, \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{21296 \sqrt{250+34 \sqrt{11}}}-\frac{21 \left(-61+13 \sqrt{11}\right) \sqrt{11}\, \left(\frac{5 \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{98 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \sqrt{250-34 \sqrt{11}}}-\frac{\sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}{686 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}}-\frac{3 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(\frac{7 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{2 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \sqrt{250-34 \sqrt{11}}}-\frac{\sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}{\left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}\right)}{1372 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right)}\right)}{968}-\left(-\frac{3535}{1936}+\frac{273 \sqrt{11}}{1936}\right) \left(\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{14 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \sqrt{250-34 \sqrt{11}}}-\frac{\sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}{49 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}\right)-\left(-\frac{3535}{1936}-\frac{273 \sqrt{11}}{1936}\right) \left(\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{14 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \sqrt{250+34 \sqrt{11}}}-\frac{\sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}{49 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}\right)-\frac{21 \left(61+13 \sqrt{11}\right) \sqrt{11}\, \left(\frac{5 \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{98 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \sqrt{250+34 \sqrt{11}}}-\frac{\sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}{686 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}}-\frac{3 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(\frac{7 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{2 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \sqrt{250+34 \sqrt{11}}}-\frac{\sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}{\left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}\right)}{1372 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right)}\right)}{968}"," ",0,"-3535/21296*11^(1/2)/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))-21/968*(-61+13*11^(1/2))*11^(1/2)*(-1/686/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))^2*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-3/1372*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(-1/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+7/2*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))+5/98/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))-(-3535/1936+273/1936*11^(1/2))*(-1/49/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))*(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)+1/14*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))+3535/21296*11^(1/2)/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))-(-3535/1936-273/1936*11^(1/2))*(-1/49/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+1/14*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))-21/968*(61+13*11^(1/2))*11^(1/2)*(-1/686/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))^2*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-3/1372*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(-1/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))*(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)+7/2*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))+5/98/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))","B"
392,1,166,133,0.030000," ","int((-7*x^2+4*x+1)^3*(x^2+5*x+2)/(5*x^2+2*x+3)^(3/2),x)","-\frac{343 x^{7}}{30 \sqrt{5 x^{2}+2 x +3}}-\frac{29351 x^{6}}{750 \sqrt{5 x^{2}+2 x +3}}+\frac{1025843 x^{5}}{7500 \sqrt{5 x^{2}+2 x +3}}-\frac{998969 x^{4}}{37500 \sqrt{5 x^{2}+2 x +3}}-\frac{51303971 x^{3}}{187500 \sqrt{5 x^{2}+2 x +3}}+\frac{61004099 x^{2}}{187500 \sqrt{5 x^{2}+2 x +3}}-\frac{50047657 x}{156250 \sqrt{5 x^{2}+2 x +3}}+\frac{50047657 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{781250}+\frac{\frac{176049701 x}{1093750}+\frac{176049701}{5468750}}{\sqrt{5 x^{2}+2 x +3}}+\frac{175268451}{390625 \sqrt{5 x^{2}+2 x +3}}"," ",0,"50047657/781250*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))+176049701/10937500*(10*x+2)/(5*x^2+2*x+3)^(1/2)-998969/37500*x^4/(5*x^2+2*x+3)^(1/2)-51303971/187500*x^3/(5*x^2+2*x+3)^(1/2)+61004099/187500*x^2/(5*x^2+2*x+3)^(1/2)-50047657/156250*x/(5*x^2+2*x+3)^(1/2)-343/30*x^7/(5*x^2+2*x+3)^(1/2)-29351/750*x^6/(5*x^2+2*x+3)^(1/2)+1025843/7500*x^5/(5*x^2+2*x+3)^(1/2)+175268451/390625/(5*x^2+2*x+3)^(1/2)","A"
393,1,132,99,0.008000," ","int((-7*x^2+4*x+1)^2*(x^2+5*x+2)/(5*x^2+2*x+3)^(3/2),x)","\frac{49 x^{5}}{20 \sqrt{5 x^{2}+2 x +3}}+\frac{1113 x^{4}}{100 \sqrt{5 x^{2}+2 x +3}}-\frac{14733 x^{3}}{500 \sqrt{5 x^{2}+2 x +3}}-\frac{8023 x^{2}}{500 \sqrt{5 x^{2}+2 x +3}}-\frac{89583 x}{1250 \sqrt{5 x^{2}+2 x +3}}+\frac{89583 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{6250}-\frac{5564 \left(10 x +2\right)}{21875 \sqrt{5 x^{2}+2 x +3}}-\frac{28506}{3125 \sqrt{5 x^{2}+2 x +3}}"," ",0,"89583/6250*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))-5564/21875*(10*x+2)/(5*x^2+2*x+3)^(1/2)+1113/100/(5*x^2+2*x+3)^(1/2)*x^4-14733/500/(5*x^2+2*x+3)^(1/2)*x^3-8023/500/(5*x^2+2*x+3)^(1/2)*x^2-89583/1250/(5*x^2+2*x+3)^(1/2)*x+49/20/(5*x^2+2*x+3)^(1/2)*x^5-28506/3125/(5*x^2+2*x+3)^(1/2)","A"
394,1,98,65,0.007000," ","int((-7*x^2+4*x+1)*(x^2+5*x+2)/(5*x^2+2*x+3)^(3/2),x)","-\frac{7 x^{3}}{10 \sqrt{5 x^{2}+2 x +3}}-\frac{11 x^{2}}{2 \sqrt{5 x^{2}+2 x +3}}-\frac{149 x}{25 \sqrt{5 x^{2}+2 x +3}}+\frac{149 \sqrt{5}\, \arcsinh \left(\frac{5 \sqrt{14}\, \left(x +\frac{1}{5}\right)}{14}\right)}{125}-\frac{1001}{125 \sqrt{5 x^{2}+2 x +3}}-\frac{751 \left(10 x +2\right)}{3500 \sqrt{5 x^{2}+2 x +3}}"," ",0,"-7/10/(5*x^2+2*x+3)^(1/2)*x^3-11/2/(5*x^2+2*x+3)^(1/2)*x^2-149/25/(5*x^2+2*x+3)^(1/2)*x-1001/125/(5*x^2+2*x+3)^(1/2)-751/3500*(10*x+2)/(5*x^2+2*x+3)^(1/2)+149/125*5^(1/2)*arcsinh(5/14*14^(1/2)*(x+1/5))","A"
395,1,489,118,0.018000," ","int((x^2+5*x+2)/(-7*x^2+4*x+1)/(5*x^2+2*x+3)^(3/2),x)","-\frac{10 x +2}{196 \sqrt{5 x^{2}+2 x +3}}-\frac{3 \left(-61+13 \sqrt{11}\right) \sqrt{11}\, \left(-\frac{\arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{\left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \sqrt{250-34 \sqrt{11}}}+\frac{1}{7 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}-\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(10 x +2\right)}{7 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(\frac{5000}{49}-\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}\right)}{154}-\frac{3 \left(61+13 \sqrt{11}\right) \sqrt{11}\, \left(-\frac{\arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{\left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \sqrt{250+34 \sqrt{11}}}+\frac{1}{7 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}-\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(10 x +2\right)}{7 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(\frac{5000}{49}+\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}\right)}{154}"," ",0,"-1/196*(10*x+2)/(5*x^2+2*x+3)^(1/2)-3/154*(-61+13*11^(1/2))*11^(1/2)*(1/7/(250/49-34/49*11^(1/2))/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-1/7*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(10*x+2)/(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-1/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))-3/154*(61+13*11^(1/2))*11^(1/2)*(1/7/(250/49+34/49*11^(1/2))/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-1/7*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(10*x+2)/(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-1/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))","B"
396,1,1214,163,0.020000," ","int((x^2+5*x+2)/(-7*x^2+4*x+1)^2/(5*x^2+2*x+3)^(3/2),x)","\frac{161 \sqrt{11}\, \left(-\frac{\arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{\left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \sqrt{250-34 \sqrt{11}}}+\frac{1}{7 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}-\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(10 x +2\right)}{7 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(\frac{5000}{49}-\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}\right)}{484}+\left(\frac{183}{44}-\frac{39 \sqrt{11}}{44}\right) \left(-\frac{1}{49 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right) \sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}-\frac{3 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(-\frac{7 \arctanh \left(\frac{250-34 \sqrt{11}+\frac{49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250-34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+250-34 \sqrt{11}}}\right)}{\left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \sqrt{250-34 \sqrt{11}}}+\frac{1}{\left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}-\frac{\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(10 x +2\right)}{\left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(\frac{5000}{49}-\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}\right)}{98 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right)}-\frac{20 \left(10 x +2\right)}{49 \left(\frac{250}{49}-\frac{34 \sqrt{11}}{49}\right) \left(\frac{5000}{49}-\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5 \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}-\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}+\frac{\sqrt{11}}{7}\right)+\frac{250}{49}-\frac{34 \sqrt{11}}{49}}}\right)+\left(\frac{183}{44}+\frac{39 \sqrt{11}}{44}\right) \left(-\frac{1}{49 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right) \sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}-\frac{3 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(-\frac{7 \arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{\left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \sqrt{250+34 \sqrt{11}}}+\frac{1}{\left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}-\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(10 x +2\right)}{\left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(\frac{5000}{49}+\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}\right)}{98 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right)}-\frac{20 \left(10 x +2\right)}{49 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(\frac{5000}{49}+\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}\right)-\frac{161 \sqrt{11}\, \left(-\frac{\arctanh \left(\frac{250+34 \sqrt{11}+\frac{49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)}{2}}{\sqrt{250+34 \sqrt{11}}\, \sqrt{245 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+49 \left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+250+34 \sqrt{11}}}\right)}{\left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \sqrt{250+34 \sqrt{11}}}+\frac{1}{7 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}-\frac{\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(10 x +2\right)}{7 \left(\frac{250}{49}+\frac{34 \sqrt{11}}{49}\right) \left(\frac{5000}{49}+\frac{680 \sqrt{11}}{49}-\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right)^{2}\right) \sqrt{5 \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)^{2}+\left(\frac{34}{7}+\frac{10 \sqrt{11}}{7}\right) \left(x -\frac{2}{7}-\frac{\sqrt{11}}{7}\right)+\frac{250}{49}+\frac{34 \sqrt{11}}{49}}}\right)}{484}"," ",0,"161/484*11^(1/2)*(1/7/(250/49-34/49*11^(1/2))/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-1/7*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(10*x+2)/(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-1/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))+(183/44-39/44*11^(1/2))*(-1/49/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-3/98*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(1/(250/49-34/49*11^(1/2))/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(10*x+2)/(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-7/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))-20/49/(250/49-34/49*11^(1/2))*(10*x+2)/(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2))+(183/44+39/44*11^(1/2))*(-1/49/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-3/98*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(1/(250/49+34/49*11^(1/2))/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(10*x+2)/(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-7/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))-20/49/(250/49+34/49*11^(1/2))*(10*x+2)/(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2))-161/484*11^(1/2)*(1/7/(250/49+34/49*11^(1/2))/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-1/7*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(10*x+2)/(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-1/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))","B"
397,1,2600,194,0.024000," ","int((x^2+5*x+2)/(-7*x^2+4*x+1)^3/(5*x^2+2*x+3)^(3/2),x)","\text{Expression too large to display}"," ",0,"3535/21296*11^(1/2)*(1/7/(250/49-34/49*11^(1/2))/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-1/7*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(10*x+2)/(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-1/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))-21/968*(-61+13*11^(1/2))*11^(1/2)*(-1/686/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))^2/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-5/1372*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(-1/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-3/2*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(1/(250/49-34/49*11^(1/2))/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(10*x+2)/(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-7/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))-20/(250/49-34/49*11^(1/2))*(10*x+2)/(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2))-15/686/(250/49-34/49*11^(1/2))*(1/(250/49-34/49*11^(1/2))/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(10*x+2)/(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-7/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2))))-(-3535/1936+273/1936*11^(1/2))*(-1/49/(250/49-34/49*11^(1/2))/(x-2/7+1/7*11^(1/2))/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-3/98*(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(1/(250/49-34/49*11^(1/2))/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-(34/7-10/7*11^(1/2))/(250/49-34/49*11^(1/2))*(10*x+2)/(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2)-7/(250/49-34/49*11^(1/2))/(250-34*11^(1/2))^(1/2)*arctanh(49/2*(500/49-68/49*11^(1/2)+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2)))/(250-34*11^(1/2))^(1/2)/(245*(x-2/7+1/7*11^(1/2))^2+49*(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250-34*11^(1/2))^(1/2)))-20/49/(250/49-34/49*11^(1/2))*(10*x+2)/(5000/49-680/49*11^(1/2)-(34/7-10/7*11^(1/2))^2)/(5*(x-2/7+1/7*11^(1/2))^2+(34/7-10/7*11^(1/2))*(x-2/7+1/7*11^(1/2))+250/49-34/49*11^(1/2))^(1/2))-21/968*(61+13*11^(1/2))*11^(1/2)*(-1/686/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))^2/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-5/1372*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(-1/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-3/2*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(1/(250/49+34/49*11^(1/2))/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(10*x+2)/(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-7/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))-20/(250/49+34/49*11^(1/2))*(10*x+2)/(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2))-15/686/(250/49+34/49*11^(1/2))*(1/(250/49+34/49*11^(1/2))/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(10*x+2)/(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-7/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2))))-(-3535/1936-273/1936*11^(1/2))*(-1/49/(250/49+34/49*11^(1/2))/(x-2/7-1/7*11^(1/2))/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-3/98*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(1/(250/49+34/49*11^(1/2))/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(10*x+2)/(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-7/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))-20/49/(250/49+34/49*11^(1/2))*(10*x+2)/(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2))-3535/21296*11^(1/2)*(1/7/(250/49+34/49*11^(1/2))/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-1/7*(34/7+10/7*11^(1/2))/(250/49+34/49*11^(1/2))*(10*x+2)/(5000/49+680/49*11^(1/2)-(34/7+10/7*11^(1/2))^2)/(5*(x-2/7-1/7*11^(1/2))^2+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250/49+34/49*11^(1/2))^(1/2)-1/(250/49+34/49*11^(1/2))/(250+34*11^(1/2))^(1/2)*arctanh(49/2*(500/49+68/49*11^(1/2)+(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2)))/(250+34*11^(1/2))^(1/2)/(245*(x-2/7-1/7*11^(1/2))^2+49*(34/7+10/7*11^(1/2))*(x-2/7-1/7*11^(1/2))+250+34*11^(1/2))^(1/2)))","B"
398,0,0,156,0.075000," ","int((c*x^2+a)^p*(C*x^2+A)*(f*x^2+d)^q,x)","\int \left(C \,x^{2}+A \right) \left(c \,x^{2}+a \right)^{p} \left(f \,x^{2}+d \right)^{q}\, dx"," ",0,"int((c*x^2+a)^p*(C*x^2+A)*(f*x^2+d)^q,x)","F"
399,0,0,163,0.064000," ","int((B*x+A)*(c*x^2+a)^p*(f*x^2+d)^q,x)","\int \left(B x +A \right) \left(c \,x^{2}+a \right)^{p} \left(f \,x^{2}+d \right)^{q}\, dx"," ",0,"int((B*x+A)*(c*x^2+a)^p*(f*x^2+d)^q,x)","F"
400,0,0,242,0.070000," ","int((c*x^2+a)^p*(C*x^2+B*x+A)*(f*x^2+d)^q,x)","\int \left(C \,x^{2}+B x +A \right) \left(c \,x^{2}+a \right)^{p} \left(f \,x^{2}+d \right)^{q}\, dx"," ",0,"int((c*x^2+a)^p*(C*x^2+B*x+A)*(f*x^2+d)^q,x)","F"