1,1,444,0,1.001919," ","integrate((f*x+e)^3*(C*x^2+B*x+A)*(-d*x+1)^(1/2)*(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} C f^{3} x^{4}}{7 \, d^{2}} + \frac{1}{2} \, \sqrt{-d^{2} x^{2} + 1} A e^{3} x + \frac{A e^{3} \arcsin\left(d x\right)}{2 \, d} - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} B e^{3}}{3 \, d^{2}} - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} A e^{2} f}{d^{2}} - \frac{4 \, {\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} C f^{3} x^{2}}{35 \, d^{4}} - \frac{{\left(3 \, C e f^{2} + B f^{3}\right)} {\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} x^{3}}{6 \, d^{2}} - \frac{{\left(3 \, C e^{2} f + 3 \, B e f^{2} + A f^{3}\right)} {\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} x^{2}}{5 \, d^{2}} - \frac{{\left(C e^{3} + 3 \, B e^{2} f + 3 \, A e f^{2}\right)} {\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} x}{4 \, d^{2}} + \frac{{\left(C e^{3} + 3 \, B e^{2} f + 3 \, A e f^{2}\right)} \sqrt{-d^{2} x^{2} + 1} x}{8 \, d^{2}} - \frac{8 \, {\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} C f^{3}}{105 \, d^{6}} - \frac{{\left(3 \, C e f^{2} + B f^{3}\right)} {\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} x}{8 \, d^{4}} + \frac{{\left(C e^{3} + 3 \, B e^{2} f + 3 \, A e f^{2}\right)} \arcsin\left(d x\right)}{8 \, d^{3}} - \frac{2 \, {\left(3 \, C e^{2} f + 3 \, B e f^{2} + A f^{3}\right)} {\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{15 \, d^{4}} + \frac{{\left(3 \, C e f^{2} + B f^{3}\right)} \sqrt{-d^{2} x^{2} + 1} x}{16 \, d^{4}} + \frac{{\left(3 \, C e f^{2} + B f^{3}\right)} \arcsin\left(d x\right)}{16 \, d^{5}}"," ",0,"-1/7*(-d^2*x^2 + 1)^(3/2)*C*f^3*x^4/d^2 + 1/2*sqrt(-d^2*x^2 + 1)*A*e^3*x + 1/2*A*e^3*arcsin(d*x)/d - 1/3*(-d^2*x^2 + 1)^(3/2)*B*e^3/d^2 - (-d^2*x^2 + 1)^(3/2)*A*e^2*f/d^2 - 4/35*(-d^2*x^2 + 1)^(3/2)*C*f^3*x^2/d^4 - 1/6*(3*C*e*f^2 + B*f^3)*(-d^2*x^2 + 1)^(3/2)*x^3/d^2 - 1/5*(3*C*e^2*f + 3*B*e*f^2 + A*f^3)*(-d^2*x^2 + 1)^(3/2)*x^2/d^2 - 1/4*(C*e^3 + 3*B*e^2*f + 3*A*e*f^2)*(-d^2*x^2 + 1)^(3/2)*x/d^2 + 1/8*(C*e^3 + 3*B*e^2*f + 3*A*e*f^2)*sqrt(-d^2*x^2 + 1)*x/d^2 - 8/105*(-d^2*x^2 + 1)^(3/2)*C*f^3/d^6 - 1/8*(3*C*e*f^2 + B*f^3)*(-d^2*x^2 + 1)^(3/2)*x/d^4 + 1/8*(C*e^3 + 3*B*e^2*f + 3*A*e*f^2)*arcsin(d*x)/d^3 - 2/15*(3*C*e^2*f + 3*B*e*f^2 + A*f^3)*(-d^2*x^2 + 1)^(3/2)/d^4 + 1/16*(3*C*e*f^2 + B*f^3)*sqrt(-d^2*x^2 + 1)*x/d^4 + 1/16*(3*C*e*f^2 + B*f^3)*arcsin(d*x)/d^5","A",0
2,1,307,0,1.005857," ","integrate((f*x+e)^2*(C*x^2+B*x+A)*(-d*x+1)^(1/2)*(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} C f^{2} x^{3}}{6 \, d^{2}} + \frac{1}{2} \, \sqrt{-d^{2} x^{2} + 1} A e^{2} x + \frac{A e^{2} \arcsin\left(d x\right)}{2 \, d} - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} B e^{2}}{3 \, d^{2}} - \frac{2 \, {\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} A e f}{3 \, d^{2}} - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(2 \, C e f + B f^{2}\right)} x^{2}}{5 \, d^{2}} - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(C e^{2} + 2 \, B e f + A f^{2}\right)} x}{4 \, d^{2}} - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} C f^{2} x}{8 \, d^{4}} + \frac{\sqrt{-d^{2} x^{2} + 1} {\left(C e^{2} + 2 \, B e f + A f^{2}\right)} x}{8 \, d^{2}} + \frac{\sqrt{-d^{2} x^{2} + 1} C f^{2} x}{16 \, d^{4}} + \frac{{\left(C e^{2} + 2 \, B e f + A f^{2}\right)} \arcsin\left(d x\right)}{8 \, d^{3}} + \frac{C f^{2} \arcsin\left(d x\right)}{16 \, d^{5}} - \frac{2 \, {\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(2 \, C e f + B f^{2}\right)}}{15 \, d^{4}}"," ",0,"-1/6*(-d^2*x^2 + 1)^(3/2)*C*f^2*x^3/d^2 + 1/2*sqrt(-d^2*x^2 + 1)*A*e^2*x + 1/2*A*e^2*arcsin(d*x)/d - 1/3*(-d^2*x^2 + 1)^(3/2)*B*e^2/d^2 - 2/3*(-d^2*x^2 + 1)^(3/2)*A*e*f/d^2 - 1/5*(-d^2*x^2 + 1)^(3/2)*(2*C*e*f + B*f^2)*x^2/d^2 - 1/4*(-d^2*x^2 + 1)^(3/2)*(C*e^2 + 2*B*e*f + A*f^2)*x/d^2 - 1/8*(-d^2*x^2 + 1)^(3/2)*C*f^2*x/d^4 + 1/8*sqrt(-d^2*x^2 + 1)*(C*e^2 + 2*B*e*f + A*f^2)*x/d^2 + 1/16*sqrt(-d^2*x^2 + 1)*C*f^2*x/d^4 + 1/8*(C*e^2 + 2*B*e*f + A*f^2)*arcsin(d*x)/d^3 + 1/16*C*f^2*arcsin(d*x)/d^5 - 2/15*(-d^2*x^2 + 1)^(3/2)*(2*C*e*f + B*f^2)/d^4","A",0
3,1,174,0,1.069910," ","integrate((f*x+e)*(C*x^2+B*x+A)*(-d*x+1)^(1/2)*(d*x+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-d^{2} x^{2} + 1} A e x - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} C f x^{2}}{5 \, d^{2}} + \frac{A e \arcsin\left(d x\right)}{2 \, d} - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} B e}{3 \, d^{2}} - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} A f}{3 \, d^{2}} - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left(C e + B f\right)} x}{4 \, d^{2}} + \frac{\sqrt{-d^{2} x^{2} + 1} {\left(C e + B f\right)} x}{8 \, d^{2}} - \frac{2 \, {\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} C f}{15 \, d^{4}} + \frac{{\left(C e + B f\right)} \arcsin\left(d x\right)}{8 \, d^{3}}"," ",0,"1/2*sqrt(-d^2*x^2 + 1)*A*e*x - 1/5*(-d^2*x^2 + 1)^(3/2)*C*f*x^2/d^2 + 1/2*A*e*arcsin(d*x)/d - 1/3*(-d^2*x^2 + 1)^(3/2)*B*e/d^2 - 1/3*(-d^2*x^2 + 1)^(3/2)*A*f/d^2 - 1/4*(-d^2*x^2 + 1)^(3/2)*(C*e + B*f)*x/d^2 + 1/8*sqrt(-d^2*x^2 + 1)*(C*e + B*f)*x/d^2 - 2/15*(-d^2*x^2 + 1)^(3/2)*C*f/d^4 + 1/8*(C*e + B*f)*arcsin(d*x)/d^3","A",0
4,1,93,0,0.981180," ","integrate((C*x^2+B*x+A)*(-d*x+1)^(1/2)*(d*x+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-d^{2} x^{2} + 1} A x - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} C x}{4 \, d^{2}} + \frac{A \arcsin\left(d x\right)}{2 \, d} - \frac{{\left(-d^{2} x^{2} + 1\right)}^{\frac{3}{2}} B}{3 \, d^{2}} + \frac{\sqrt{-d^{2} x^{2} + 1} C x}{8 \, d^{2}} + \frac{C \arcsin\left(d x\right)}{8 \, d^{3}}"," ",0,"1/2*sqrt(-d^2*x^2 + 1)*A*x - 1/4*(-d^2*x^2 + 1)^(3/2)*C*x/d^2 + 1/2*A*arcsin(d*x)/d - 1/3*(-d^2*x^2 + 1)^(3/2)*B/d^2 + 1/8*sqrt(-d^2*x^2 + 1)*C*x/d^2 + 1/8*C*arcsin(d*x)/d^3","A",0
5,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(f-d*e>0)', see `assume?` for more details)Is f-d*e positive, negative or zero?","F(-2)",0
6,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)^2/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(f-d*e>0)', see `assume?` for more details)Is f-d*e positive, negative or zero?","F(-2)",0
7,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)^3/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(f-d*e>0)', see `assume?` for more details)Is f-d*e positive, negative or zero?","F(-2)",0
8,1,355,0,1.045448," ","integrate((f*x+e)^3*(C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-d^{2} x^{2} + 1} C f^{3} x^{4}}{5 \, d^{2}} + \frac{A e^{3} \arcsin\left(d x\right)}{d} - \frac{\sqrt{-d^{2} x^{2} + 1} B e^{3}}{d^{2}} - \frac{3 \, \sqrt{-d^{2} x^{2} + 1} A e^{2} f}{d^{2}} - \frac{4 \, \sqrt{-d^{2} x^{2} + 1} C f^{3} x^{2}}{15 \, d^{4}} - \frac{{\left(3 \, C e f^{2} + B f^{3}\right)} \sqrt{-d^{2} x^{2} + 1} x^{3}}{4 \, d^{2}} - \frac{{\left(3 \, C e^{2} f + 3 \, B e f^{2} + A f^{3}\right)} \sqrt{-d^{2} x^{2} + 1} x^{2}}{3 \, d^{2}} - \frac{{\left(C e^{3} + 3 \, B e^{2} f + 3 \, A e f^{2}\right)} \sqrt{-d^{2} x^{2} + 1} x}{2 \, d^{2}} + \frac{{\left(C e^{3} + 3 \, B e^{2} f + 3 \, A e f^{2}\right)} \arcsin\left(d x\right)}{2 \, d^{3}} - \frac{8 \, \sqrt{-d^{2} x^{2} + 1} C f^{3}}{15 \, d^{6}} - \frac{3 \, {\left(3 \, C e f^{2} + B f^{3}\right)} \sqrt{-d^{2} x^{2} + 1} x}{8 \, d^{4}} - \frac{2 \, {\left(3 \, C e^{2} f + 3 \, B e f^{2} + A f^{3}\right)} \sqrt{-d^{2} x^{2} + 1}}{3 \, d^{4}} + \frac{3 \, {\left(3 \, C e f^{2} + B f^{3}\right)} \arcsin\left(d x\right)}{8 \, d^{5}}"," ",0,"-1/5*sqrt(-d^2*x^2 + 1)*C*f^3*x^4/d^2 + A*e^3*arcsin(d*x)/d - sqrt(-d^2*x^2 + 1)*B*e^3/d^2 - 3*sqrt(-d^2*x^2 + 1)*A*e^2*f/d^2 - 4/15*sqrt(-d^2*x^2 + 1)*C*f^3*x^2/d^4 - 1/4*(3*C*e*f^2 + B*f^3)*sqrt(-d^2*x^2 + 1)*x^3/d^2 - 1/3*(3*C*e^2*f + 3*B*e*f^2 + A*f^3)*sqrt(-d^2*x^2 + 1)*x^2/d^2 - 1/2*(C*e^3 + 3*B*e^2*f + 3*A*e*f^2)*sqrt(-d^2*x^2 + 1)*x/d^2 + 1/2*(C*e^3 + 3*B*e^2*f + 3*A*e*f^2)*arcsin(d*x)/d^3 - 8/15*sqrt(-d^2*x^2 + 1)*C*f^3/d^6 - 3/8*(3*C*e*f^2 + B*f^3)*sqrt(-d^2*x^2 + 1)*x/d^4 - 2/3*(3*C*e^2*f + 3*B*e*f^2 + A*f^3)*sqrt(-d^2*x^2 + 1)/d^4 + 3/8*(3*C*e*f^2 + B*f^3)*arcsin(d*x)/d^5","A",0
9,1,231,0,1.272707," ","integrate((f*x+e)^2*(C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-d^{2} x^{2} + 1} C f^{2} x^{3}}{4 \, d^{2}} + \frac{A e^{2} \arcsin\left(d x\right)}{d} - \frac{\sqrt{-d^{2} x^{2} + 1} B e^{2}}{d^{2}} - \frac{2 \, \sqrt{-d^{2} x^{2} + 1} A e f}{d^{2}} - \frac{\sqrt{-d^{2} x^{2} + 1} {\left(2 \, C e f + B f^{2}\right)} x^{2}}{3 \, d^{2}} - \frac{\sqrt{-d^{2} x^{2} + 1} {\left(C e^{2} + 2 \, B e f + A f^{2}\right)} x}{2 \, d^{2}} - \frac{3 \, \sqrt{-d^{2} x^{2} + 1} C f^{2} x}{8 \, d^{4}} + \frac{{\left(C e^{2} + 2 \, B e f + A f^{2}\right)} \arcsin\left(d x\right)}{2 \, d^{3}} + \frac{3 \, C f^{2} \arcsin\left(d x\right)}{8 \, d^{5}} - \frac{2 \, \sqrt{-d^{2} x^{2} + 1} {\left(2 \, C e f + B f^{2}\right)}}{3 \, d^{4}}"," ",0,"-1/4*sqrt(-d^2*x^2 + 1)*C*f^2*x^3/d^2 + A*e^2*arcsin(d*x)/d - sqrt(-d^2*x^2 + 1)*B*e^2/d^2 - 2*sqrt(-d^2*x^2 + 1)*A*e*f/d^2 - 1/3*sqrt(-d^2*x^2 + 1)*(2*C*e*f + B*f^2)*x^2/d^2 - 1/2*sqrt(-d^2*x^2 + 1)*(C*e^2 + 2*B*e*f + A*f^2)*x/d^2 - 3/8*sqrt(-d^2*x^2 + 1)*C*f^2*x/d^4 + 1/2*(C*e^2 + 2*B*e*f + A*f^2)*arcsin(d*x)/d^3 + 3/8*C*f^2*arcsin(d*x)/d^5 - 2/3*sqrt(-d^2*x^2 + 1)*(2*C*e*f + B*f^2)/d^4","A",0
10,1,131,0,1.314670," ","integrate((f*x+e)*(C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-d^{2} x^{2} + 1} C f x^{2}}{3 \, d^{2}} + \frac{A e \arcsin\left(d x\right)}{d} - \frac{\sqrt{-d^{2} x^{2} + 1} B e}{d^{2}} - \frac{\sqrt{-d^{2} x^{2} + 1} A f}{d^{2}} - \frac{\sqrt{-d^{2} x^{2} + 1} {\left(C e + B f\right)} x}{2 \, d^{2}} + \frac{{\left(C e + B f\right)} \arcsin\left(d x\right)}{2 \, d^{3}} - \frac{2 \, \sqrt{-d^{2} x^{2} + 1} C f}{3 \, d^{4}}"," ",0,"-1/3*sqrt(-d^2*x^2 + 1)*C*f*x^2/d^2 + A*e*arcsin(d*x)/d - sqrt(-d^2*x^2 + 1)*B*e/d^2 - sqrt(-d^2*x^2 + 1)*A*f/d^2 - 1/2*sqrt(-d^2*x^2 + 1)*(C*e + B*f)*x/d^2 + 1/2*(C*e + B*f)*arcsin(d*x)/d^3 - 2/3*sqrt(-d^2*x^2 + 1)*C*f/d^4","A",0
11,1,57,0,1.415636," ","integrate((C*x^2+B*x+A)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\frac{A \arcsin\left(d x\right)}{d} - \frac{\sqrt{-d^{2} x^{2} + 1} C x}{2 \, d^{2}} - \frac{\sqrt{-d^{2} x^{2} + 1} B}{d^{2}} + \frac{C \arcsin\left(d x\right)}{2 \, d^{3}}"," ",0,"A*arcsin(d*x)/d - 1/2*sqrt(-d^2*x^2 + 1)*C*x/d^2 - sqrt(-d^2*x^2 + 1)*B/d^2 + 1/2*C*arcsin(d*x)/d^3","A",0
12,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(f-d*e>0)', see `assume?` for more details)Is f-d*e positive, negative or zero?","F(-2)",0
13,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)^2/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(f-d*e>0)', see `assume?` for more details)Is f-d*e positive, negative or zero?","F(-2)",0
14,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)^3/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(f-d*e>0)', see `assume?` for more details)Is f-d*e positive, negative or zero?","F(-2)",0
15,1,87,0,1.270315," ","integrate(x*(c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-d^{2} x^{2} + 1} c x^{2}}{3 \, d^{2}} - \frac{\sqrt{-d^{2} x^{2} + 1} b x}{2 \, d^{2}} - \frac{\sqrt{-d^{2} x^{2} + 1} a}{d^{2}} + \frac{b \arcsin\left(d x\right)}{2 \, d^{3}} - \frac{2 \, \sqrt{-d^{2} x^{2} + 1} c}{3 \, d^{4}}"," ",0,"-1/3*sqrt(-d^2*x^2 + 1)*c*x^2/d^2 - 1/2*sqrt(-d^2*x^2 + 1)*b*x/d^2 - sqrt(-d^2*x^2 + 1)*a/d^2 + 1/2*b*arcsin(d*x)/d^3 - 2/3*sqrt(-d^2*x^2 + 1)*c/d^4","A",0
16,1,57,0,1.281048," ","integrate((c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\frac{a \arcsin\left(d x\right)}{d} - \frac{\sqrt{-d^{2} x^{2} + 1} c x}{2 \, d^{2}} - \frac{\sqrt{-d^{2} x^{2} + 1} b}{d^{2}} + \frac{c \arcsin\left(d x\right)}{2 \, d^{3}}"," ",0,"a*arcsin(d*x)/d - 1/2*sqrt(-d^2*x^2 + 1)*c*x/d^2 - sqrt(-d^2*x^2 + 1)*b/d^2 + 1/2*c*arcsin(d*x)/d^3","A",0
17,1,57,0,1.274740," ","integrate((c*x^2+b*x+a)/x/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-a \log\left(\frac{2 \, \sqrt{-d^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) + \frac{b \arcsin\left(d x\right)}{d} - \frac{\sqrt{-d^{2} x^{2} + 1} c}{d^{2}}"," ",0,"-a*log(2*sqrt(-d^2*x^2 + 1)/abs(x) + 2/abs(x)) + b*arcsin(d*x)/d - sqrt(-d^2*x^2 + 1)*c/d^2","A",0
18,1,57,0,1.324515," ","integrate((c*x^2+b*x+a)/x^2/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-b \log\left(\frac{2 \, \sqrt{-d^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) + \frac{c \arcsin\left(d x\right)}{d} - \frac{\sqrt{-d^{2} x^{2} + 1} a}{x}"," ",0,"-b*log(2*sqrt(-d^2*x^2 + 1)/abs(x) + 2/abs(x)) + c*arcsin(d*x)/d - sqrt(-d^2*x^2 + 1)*a/x","A",0
19,1,98,0,1.285000," ","integrate((c*x^2+b*x+a)/x^3/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, a d^{2} \log\left(\frac{2 \, \sqrt{-d^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) - c \log\left(\frac{2 \, \sqrt{-d^{2} x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right) - \frac{\sqrt{-d^{2} x^{2} + 1} b}{x} - \frac{\sqrt{-d^{2} x^{2} + 1} a}{2 \, x^{2}}"," ",0,"-1/2*a*d^2*log(2*sqrt(-d^2*x^2 + 1)/abs(x) + 2/abs(x)) - c*log(2*sqrt(-d^2*x^2 + 1)/abs(x) + 2/abs(x)) - sqrt(-d^2*x^2 + 1)*b/x - 1/2*sqrt(-d^2*x^2 + 1)*a/x^2","A",0
20,1,584,0,1.461138," ","integrate((f*x+e)^3*(C*x^2+B*x+A)*(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} C f^{3} x^{4}}{7 \, b^{2} c} + \frac{A a^{2} \sqrt{c} e^{3} \arcsin\left(\frac{b x}{a}\right)}{2 \, b} + \frac{1}{2} \, \sqrt{-b^{2} c x^{2} + a^{2} c} A e^{3} x - \frac{4 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} C a^{2} f^{3} x^{2}}{35 \, b^{4} c} + \frac{{\left(3 \, C e f^{2} + B f^{3}\right)} a^{6} \sqrt{c} \arcsin\left(\frac{b x}{a}\right)}{16 \, b^{5}} + \frac{{\left(C e^{3} + 3 \, B e^{2} f + 3 \, A e f^{2}\right)} a^{4} \sqrt{c} \arcsin\left(\frac{b x}{a}\right)}{8 \, b^{3}} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} B e^{3}}{3 \, b^{2} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} A e^{2} f}{b^{2} c} - \frac{8 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} C a^{4} f^{3}}{105 \, b^{6} c} + \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} {\left(3 \, C e f^{2} + B f^{3}\right)} a^{4} x}{16 \, b^{4}} + \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} {\left(C e^{3} + 3 \, B e^{2} f + 3 \, A e f^{2}\right)} a^{2} x}{8 \, b^{2}} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} {\left(3 \, C e f^{2} + B f^{3}\right)} x^{3}}{6 \, b^{2} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} {\left(3 \, C e^{2} f + 3 \, B e f^{2} + A f^{3}\right)} x^{2}}{5 \, b^{2} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} {\left(3 \, C e f^{2} + B f^{3}\right)} a^{2} x}{8 \, b^{4} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} {\left(C e^{3} + 3 \, B e^{2} f + 3 \, A e f^{2}\right)} x}{4 \, b^{2} c} - \frac{2 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} {\left(3 \, C e^{2} f + 3 \, B e f^{2} + A f^{3}\right)} a^{2}}{15 \, b^{4} c}"," ",0,"-1/7*(-b^2*c*x^2 + a^2*c)^(3/2)*C*f^3*x^4/(b^2*c) + 1/2*A*a^2*sqrt(c)*e^3*arcsin(b*x/a)/b + 1/2*sqrt(-b^2*c*x^2 + a^2*c)*A*e^3*x - 4/35*(-b^2*c*x^2 + a^2*c)^(3/2)*C*a^2*f^3*x^2/(b^4*c) + 1/16*(3*C*e*f^2 + B*f^3)*a^6*sqrt(c)*arcsin(b*x/a)/b^5 + 1/8*(C*e^3 + 3*B*e^2*f + 3*A*e*f^2)*a^4*sqrt(c)*arcsin(b*x/a)/b^3 - 1/3*(-b^2*c*x^2 + a^2*c)^(3/2)*B*e^3/(b^2*c) - (-b^2*c*x^2 + a^2*c)^(3/2)*A*e^2*f/(b^2*c) - 8/105*(-b^2*c*x^2 + a^2*c)^(3/2)*C*a^4*f^3/(b^6*c) + 1/16*sqrt(-b^2*c*x^2 + a^2*c)*(3*C*e*f^2 + B*f^3)*a^4*x/b^4 + 1/8*sqrt(-b^2*c*x^2 + a^2*c)*(C*e^3 + 3*B*e^2*f + 3*A*e*f^2)*a^2*x/b^2 - 1/6*(-b^2*c*x^2 + a^2*c)^(3/2)*(3*C*e*f^2 + B*f^3)*x^3/(b^2*c) - 1/5*(-b^2*c*x^2 + a^2*c)^(3/2)*(3*C*e^2*f + 3*B*e*f^2 + A*f^3)*x^2/(b^2*c) - 1/8*(-b^2*c*x^2 + a^2*c)^(3/2)*(3*C*e*f^2 + B*f^3)*a^2*x/(b^4*c) - 1/4*(-b^2*c*x^2 + a^2*c)^(3/2)*(C*e^3 + 3*B*e^2*f + 3*A*e*f^2)*x/(b^2*c) - 2/15*(-b^2*c*x^2 + a^2*c)^(3/2)*(3*C*e^2*f + 3*B*e*f^2 + A*f^3)*a^2/(b^4*c)","A",0
21,1,417,0,2.067014," ","integrate((f*x+e)^2*(C*x^2+B*x+A)*(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\frac{A a^{2} \sqrt{c} e^{2} \arcsin\left(\frac{b x}{a}\right)}{2 \, b} + \frac{C a^{6} \sqrt{c} f^{2} \arcsin\left(\frac{b x}{a}\right)}{16 \, b^{5}} + \frac{1}{2} \, \sqrt{-b^{2} c x^{2} + a^{2} c} A e^{2} x + \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} C a^{4} f^{2} x}{16 \, b^{4}} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} C f^{2} x^{3}}{6 \, b^{2} c} + \frac{{\left(C e^{2} + 2 \, B e f + A f^{2}\right)} a^{4} \sqrt{c} \arcsin\left(\frac{b x}{a}\right)}{8 \, b^{3}} + \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} {\left(C e^{2} + 2 \, B e f + A f^{2}\right)} a^{2} x}{8 \, b^{2}} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} C a^{2} f^{2} x}{8 \, b^{4} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} B e^{2}}{3 \, b^{2} c} - \frac{2 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} A e f}{3 \, b^{2} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} {\left(2 \, C e f + B f^{2}\right)} x^{2}}{5 \, b^{2} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} {\left(C e^{2} + 2 \, B e f + A f^{2}\right)} x}{4 \, b^{2} c} - \frac{2 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} {\left(2 \, C e f + B f^{2}\right)} a^{2}}{15 \, b^{4} c}"," ",0,"1/2*A*a^2*sqrt(c)*e^2*arcsin(b*x/a)/b + 1/16*C*a^6*sqrt(c)*f^2*arcsin(b*x/a)/b^5 + 1/2*sqrt(-b^2*c*x^2 + a^2*c)*A*e^2*x + 1/16*sqrt(-b^2*c*x^2 + a^2*c)*C*a^4*f^2*x/b^4 - 1/6*(-b^2*c*x^2 + a^2*c)^(3/2)*C*f^2*x^3/(b^2*c) + 1/8*(C*e^2 + 2*B*e*f + A*f^2)*a^4*sqrt(c)*arcsin(b*x/a)/b^3 + 1/8*sqrt(-b^2*c*x^2 + a^2*c)*(C*e^2 + 2*B*e*f + A*f^2)*a^2*x/b^2 - 1/8*(-b^2*c*x^2 + a^2*c)^(3/2)*C*a^2*f^2*x/(b^4*c) - 1/3*(-b^2*c*x^2 + a^2*c)^(3/2)*B*e^2/(b^2*c) - 2/3*(-b^2*c*x^2 + a^2*c)^(3/2)*A*e*f/(b^2*c) - 1/5*(-b^2*c*x^2 + a^2*c)^(3/2)*(2*C*e*f + B*f^2)*x^2/(b^2*c) - 1/4*(-b^2*c*x^2 + a^2*c)^(3/2)*(C*e^2 + 2*B*e*f + A*f^2)*x/(b^2*c) - 2/15*(-b^2*c*x^2 + a^2*c)^(3/2)*(2*C*e*f + B*f^2)*a^2/(b^4*c)","A",0
22,1,248,0,2.254983," ","integrate((f*x+e)*(C*x^2+B*x+A)*(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\frac{A a^{2} \sqrt{c} e \arcsin\left(\frac{b x}{a}\right)}{2 \, b} + \frac{1}{2} \, \sqrt{-b^{2} c x^{2} + a^{2} c} A e x + \frac{{\left(C e + B f\right)} a^{4} \sqrt{c} \arcsin\left(\frac{b x}{a}\right)}{8 \, b^{3}} + \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} {\left(C e + B f\right)} a^{2} x}{8 \, b^{2}} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} C f x^{2}}{5 \, b^{2} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} B e}{3 \, b^{2} c} - \frac{2 \, {\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} C a^{2} f}{15 \, b^{4} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} A f}{3 \, b^{2} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} {\left(C e + B f\right)} x}{4 \, b^{2} c}"," ",0,"1/2*A*a^2*sqrt(c)*e*arcsin(b*x/a)/b + 1/2*sqrt(-b^2*c*x^2 + a^2*c)*A*e*x + 1/8*(C*e + B*f)*a^4*sqrt(c)*arcsin(b*x/a)/b^3 + 1/8*sqrt(-b^2*c*x^2 + a^2*c)*(C*e + B*f)*a^2*x/b^2 - 1/5*(-b^2*c*x^2 + a^2*c)^(3/2)*C*f*x^2/(b^2*c) - 1/3*(-b^2*c*x^2 + a^2*c)^(3/2)*B*e/(b^2*c) - 2/15*(-b^2*c*x^2 + a^2*c)^(3/2)*C*a^2*f/(b^4*c) - 1/3*(-b^2*c*x^2 + a^2*c)^(3/2)*A*f/(b^2*c) - 1/4*(-b^2*c*x^2 + a^2*c)^(3/2)*(C*e + B*f)*x/(b^2*c)","A",0
23,1,140,0,2.027713," ","integrate((C*x^2+B*x+A)*(b*x+a)^(1/2)*(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\frac{C a^{4} \sqrt{c} \arcsin\left(\frac{b x}{a}\right)}{8 \, b^{3}} + \frac{A a^{2} \sqrt{c} \arcsin\left(\frac{b x}{a}\right)}{2 \, b} + \frac{1}{2} \, \sqrt{-b^{2} c x^{2} + a^{2} c} A x + \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} C a^{2} x}{8 \, b^{2}} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} C x}{4 \, b^{2} c} - \frac{{\left(-b^{2} c x^{2} + a^{2} c\right)}^{\frac{3}{2}} B}{3 \, b^{2} c}"," ",0,"1/8*C*a^4*sqrt(c)*arcsin(b*x/a)/b^3 + 1/2*A*a^2*sqrt(c)*arcsin(b*x/a)/b + 1/2*sqrt(-b^2*c*x^2 + a^2*c)*A*x + 1/8*sqrt(-b^2*c*x^2 + a^2*c)*C*a^2*x/b^2 - 1/4*(-b^2*c*x^2 + a^2*c)^(3/2)*C*x/(b^2*c) - 1/3*(-b^2*c*x^2 + a^2*c)^(3/2)*B/(b^2*c)","A",0
24,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((4*b^2*c>0)', see `assume?` for more details)Is (4*b^2*c     *(a^2*c-(b^2*c*e^2)                                 /f^2))    /f^2    +(4*b^4*c^2*e^2)/f^4    zero or nonzero?","F(-2)",0
25,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)^2/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((4*b^2*c>0)', see `assume?` for more details)Is (4*b^2*c     *(a^2*c-(b^2*c*e^2)                                 /f^2))    /f^2    +(4*b^4*c^2*e^2)/f^4    zero or nonzero?","F(-2)",0
26,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)^3/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*f-b*e>0)', see `assume?` for more details)Is a*f-b*e positive, negative or zero?","F(-2)",0
27,1,471,0,1.972172," ","integrate((f*x+e)^3*(C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-b^{2} c x^{2} + a^{2} c} C f^{3} x^{4}}{5 \, b^{2} c} - \frac{4 \, \sqrt{-b^{2} c x^{2} + a^{2} c} C a^{2} f^{3} x^{2}}{15 \, b^{4} c} + \frac{A e^{3} \arcsin\left(\frac{b x}{a}\right)}{b \sqrt{c}} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} B e^{3}}{b^{2} c} - \frac{3 \, \sqrt{-b^{2} c x^{2} + a^{2} c} A e^{2} f}{b^{2} c} - \frac{8 \, \sqrt{-b^{2} c x^{2} + a^{2} c} C a^{4} f^{3}}{15 \, b^{6} c} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} {\left(3 \, C e f^{2} + B f^{3}\right)} x^{3}}{4 \, b^{2} c} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} {\left(3 \, C e^{2} f + 3 \, B e f^{2} + A f^{3}\right)} x^{2}}{3 \, b^{2} c} + \frac{3 \, {\left(3 \, C e f^{2} + B f^{3}\right)} a^{4} \arcsin\left(\frac{b x}{a}\right)}{8 \, b^{5} \sqrt{c}} + \frac{{\left(C e^{3} + 3 \, B e^{2} f + 3 \, A e f^{2}\right)} a^{2} \arcsin\left(\frac{b x}{a}\right)}{2 \, b^{3} \sqrt{c}} - \frac{3 \, \sqrt{-b^{2} c x^{2} + a^{2} c} {\left(3 \, C e f^{2} + B f^{3}\right)} a^{2} x}{8 \, b^{4} c} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} {\left(C e^{3} + 3 \, B e^{2} f + 3 \, A e f^{2}\right)} x}{2 \, b^{2} c} - \frac{2 \, \sqrt{-b^{2} c x^{2} + a^{2} c} {\left(3 \, C e^{2} f + 3 \, B e f^{2} + A f^{3}\right)} a^{2}}{3 \, b^{4} c}"," ",0,"-1/5*sqrt(-b^2*c*x^2 + a^2*c)*C*f^3*x^4/(b^2*c) - 4/15*sqrt(-b^2*c*x^2 + a^2*c)*C*a^2*f^3*x^2/(b^4*c) + A*e^3*arcsin(b*x/a)/(b*sqrt(c)) - sqrt(-b^2*c*x^2 + a^2*c)*B*e^3/(b^2*c) - 3*sqrt(-b^2*c*x^2 + a^2*c)*A*e^2*f/(b^2*c) - 8/15*sqrt(-b^2*c*x^2 + a^2*c)*C*a^4*f^3/(b^6*c) - 1/4*sqrt(-b^2*c*x^2 + a^2*c)*(3*C*e*f^2 + B*f^3)*x^3/(b^2*c) - 1/3*sqrt(-b^2*c*x^2 + a^2*c)*(3*C*e^2*f + 3*B*e*f^2 + A*f^3)*x^2/(b^2*c) + 3/8*(3*C*e*f^2 + B*f^3)*a^4*arcsin(b*x/a)/(b^5*sqrt(c)) + 1/2*(C*e^3 + 3*B*e^2*f + 3*A*e*f^2)*a^2*arcsin(b*x/a)/(b^3*sqrt(c)) - 3/8*sqrt(-b^2*c*x^2 + a^2*c)*(3*C*e*f^2 + B*f^3)*a^2*x/(b^4*c) - 1/2*sqrt(-b^2*c*x^2 + a^2*c)*(C*e^3 + 3*B*e^2*f + 3*A*e*f^2)*x/(b^2*c) - 2/3*sqrt(-b^2*c*x^2 + a^2*c)*(3*C*e^2*f + 3*B*e*f^2 + A*f^3)*a^2/(b^4*c)","A",0
28,1,317,0,2.020967," ","integrate((f*x+e)^2*(C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-b^{2} c x^{2} + a^{2} c} C f^{2} x^{3}}{4 \, b^{2} c} + \frac{A e^{2} \arcsin\left(\frac{b x}{a}\right)}{b \sqrt{c}} + \frac{3 \, C a^{4} f^{2} \arcsin\left(\frac{b x}{a}\right)}{8 \, b^{5} \sqrt{c}} - \frac{3 \, \sqrt{-b^{2} c x^{2} + a^{2} c} C a^{2} f^{2} x}{8 \, b^{4} c} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} B e^{2}}{b^{2} c} - \frac{2 \, \sqrt{-b^{2} c x^{2} + a^{2} c} A e f}{b^{2} c} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} {\left(2 \, C e f + B f^{2}\right)} x^{2}}{3 \, b^{2} c} + \frac{{\left(C e^{2} + 2 \, B e f + A f^{2}\right)} a^{2} \arcsin\left(\frac{b x}{a}\right)}{2 \, b^{3} \sqrt{c}} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} {\left(C e^{2} + 2 \, B e f + A f^{2}\right)} x}{2 \, b^{2} c} - \frac{2 \, \sqrt{-b^{2} c x^{2} + a^{2} c} {\left(2 \, C e f + B f^{2}\right)} a^{2}}{3 \, b^{4} c}"," ",0,"-1/4*sqrt(-b^2*c*x^2 + a^2*c)*C*f^2*x^3/(b^2*c) + A*e^2*arcsin(b*x/a)/(b*sqrt(c)) + 3/8*C*a^4*f^2*arcsin(b*x/a)/(b^5*sqrt(c)) - 3/8*sqrt(-b^2*c*x^2 + a^2*c)*C*a^2*f^2*x/(b^4*c) - sqrt(-b^2*c*x^2 + a^2*c)*B*e^2/(b^2*c) - 2*sqrt(-b^2*c*x^2 + a^2*c)*A*e*f/(b^2*c) - 1/3*sqrt(-b^2*c*x^2 + a^2*c)*(2*C*e*f + B*f^2)*x^2/(b^2*c) + 1/2*(C*e^2 + 2*B*e*f + A*f^2)*a^2*arcsin(b*x/a)/(b^3*sqrt(c)) - 1/2*sqrt(-b^2*c*x^2 + a^2*c)*(C*e^2 + 2*B*e*f + A*f^2)*x/(b^2*c) - 2/3*sqrt(-b^2*c*x^2 + a^2*c)*(2*C*e*f + B*f^2)*a^2/(b^4*c)","A",0
29,1,189,0,2.054536," ","integrate((f*x+e)*(C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-b^{2} c x^{2} + a^{2} c} C f x^{2}}{3 \, b^{2} c} + \frac{A e \arcsin\left(\frac{b x}{a}\right)}{b \sqrt{c}} + \frac{{\left(C e + B f\right)} a^{2} \arcsin\left(\frac{b x}{a}\right)}{2 \, b^{3} \sqrt{c}} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} B e}{b^{2} c} - \frac{2 \, \sqrt{-b^{2} c x^{2} + a^{2} c} C a^{2} f}{3 \, b^{4} c} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} A f}{b^{2} c} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} {\left(C e + B f\right)} x}{2 \, b^{2} c}"," ",0,"-1/3*sqrt(-b^2*c*x^2 + a^2*c)*C*f*x^2/(b^2*c) + A*e*arcsin(b*x/a)/(b*sqrt(c)) + 1/2*(C*e + B*f)*a^2*arcsin(b*x/a)/(b^3*sqrt(c)) - sqrt(-b^2*c*x^2 + a^2*c)*B*e/(b^2*c) - 2/3*sqrt(-b^2*c*x^2 + a^2*c)*C*a^2*f/(b^4*c) - sqrt(-b^2*c*x^2 + a^2*c)*A*f/(b^2*c) - 1/2*sqrt(-b^2*c*x^2 + a^2*c)*(C*e + B*f)*x/(b^2*c)","A",0
30,1,88,0,2.500748," ","integrate((C*x^2+B*x+A)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\frac{C a^{2} \arcsin\left(\frac{b x}{a}\right)}{2 \, b^{3} \sqrt{c}} + \frac{A \arcsin\left(\frac{b x}{a}\right)}{b \sqrt{c}} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} C x}{2 \, b^{2} c} - \frac{\sqrt{-b^{2} c x^{2} + a^{2} c} B}{b^{2} c}"," ",0,"1/2*C*a^2*arcsin(b*x/a)/(b^3*sqrt(c)) + A*arcsin(b*x/a)/(b*sqrt(c)) - 1/2*sqrt(-b^2*c*x^2 + a^2*c)*C*x/(b^2*c) - sqrt(-b^2*c*x^2 + a^2*c)*B/(b^2*c)","A",0
31,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((4*b^2*c>0)', see `assume?` for more details)Is (4*b^2*c     *(a^2*c-(b^2*c*e^2)                                 /f^2))    /f^2    +(4*b^4*c^2*e^2)/f^4    zero or nonzero?","F(-2)",0
32,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)^2/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((4*b^2*c>0)', see `assume?` for more details)Is (4*b^2*c     *(a^2*c-(b^2*c*e^2)                                 /f^2))    /f^2    +(4*b^4*c^2*e^2)/f^4    zero or nonzero?","F(-2)",0
33,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(f*x+e)^3/(b*x+a)^(1/2)/(-b*c*x+a*c)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a*f-b*e>0)', see `assume?` for more details)Is a*f-b*e positive, negative or zero?","F(-2)",0
34,1,100,0,1.020228," ","integrate(x*(c*x^2+b*x+a)/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{d^{2} x^{2} - 1} c x^{2}}{3 \, d^{2}} + \frac{\sqrt{d^{2} x^{2} - 1} b x}{2 \, d^{2}} + \frac{\sqrt{d^{2} x^{2} - 1} a}{d^{2}} + \frac{b \log\left(2 \, d^{2} x + 2 \, \sqrt{d^{2} x^{2} - 1} d\right)}{2 \, d^{3}} + \frac{2 \, \sqrt{d^{2} x^{2} - 1} c}{3 \, d^{4}}"," ",0,"1/3*sqrt(d^2*x^2 - 1)*c*x^2/d^2 + 1/2*sqrt(d^2*x^2 - 1)*b*x/d^2 + sqrt(d^2*x^2 - 1)*a/d^2 + 1/2*b*log(2*d^2*x + 2*sqrt(d^2*x^2 - 1)*d)/d^3 + 2/3*sqrt(d^2*x^2 - 1)*c/d^4","A",0
35,1,90,0,1.106714," ","integrate((c*x^2+b*x+a)/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","\frac{a \log\left(2 \, d^{2} x + 2 \, \sqrt{d^{2} x^{2} - 1} d\right)}{d} + \frac{\sqrt{d^{2} x^{2} - 1} c x}{2 \, d^{2}} + \frac{\sqrt{d^{2} x^{2} - 1} b}{d^{2}} + \frac{c \log\left(2 \, d^{2} x + 2 \, \sqrt{d^{2} x^{2} - 1} d\right)}{2 \, d^{3}}"," ",0,"a*log(2*d^2*x + 2*sqrt(d^2*x^2 - 1)*d)/d + 1/2*sqrt(d^2*x^2 - 1)*c*x/d^2 + sqrt(d^2*x^2 - 1)*b/d^2 + 1/2*c*log(2*d^2*x + 2*sqrt(d^2*x^2 - 1)*d)/d^3","B",0
36,1,56,0,2.343176," ","integrate((c*x^2+b*x+a)/x/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-a \arcsin\left(\frac{1}{d {\left| x \right|}}\right) + \frac{b \log\left(2 \, d^{2} x + 2 \, \sqrt{d^{2} x^{2} - 1} d\right)}{d} + \frac{\sqrt{d^{2} x^{2} - 1} c}{d^{2}}"," ",0,"-a*arcsin(1/(d*abs(x))) + b*log(2*d^2*x + 2*sqrt(d^2*x^2 - 1)*d)/d + sqrt(d^2*x^2 - 1)*c/d^2","A",0
37,1,56,0,2.348254," ","integrate((c*x^2+b*x+a)/x^2/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-b \arcsin\left(\frac{1}{d {\left| x \right|}}\right) + \frac{c \log\left(2 \, d^{2} x + 2 \, \sqrt{d^{2} x^{2} - 1} d\right)}{d} + \frac{\sqrt{d^{2} x^{2} - 1} a}{x}"," ",0,"-b*arcsin(1/(d*abs(x))) + c*log(2*d^2*x + 2*sqrt(d^2*x^2 - 1)*d)/d + sqrt(d^2*x^2 - 1)*a/x","A",0
38,1,61,0,2.468485," ","integrate((c*x^2+b*x+a)/x^3/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, a d^{2} \arcsin\left(\frac{1}{d {\left| x \right|}}\right) - c \arcsin\left(\frac{1}{d {\left| x \right|}}\right) + \frac{\sqrt{d^{2} x^{2} - 1} b}{x} + \frac{\sqrt{d^{2} x^{2} - 1} a}{2 \, x^{2}}"," ",0,"-1/2*a*d^2*arcsin(1/(d*abs(x))) - c*arcsin(1/(d*abs(x))) + sqrt(d^2*x^2 - 1)*b/x + 1/2*sqrt(d^2*x^2 - 1)*a/x^2","A",0
39,1,86,0,3.046289," ","integrate((c*x^2+b*x+a)/x^4/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, b d^{2} \arcsin\left(\frac{1}{d {\left| x \right|}}\right) + \frac{2 \, \sqrt{d^{2} x^{2} - 1} a d^{2}}{3 \, x} + \frac{\sqrt{d^{2} x^{2} - 1} c}{x} + \frac{\sqrt{d^{2} x^{2} - 1} b}{2 \, x^{2}} + \frac{\sqrt{d^{2} x^{2} - 1} a}{3 \, x^{3}}"," ",0,"-1/2*b*d^2*arcsin(1/(d*abs(x))) + 2/3*sqrt(d^2*x^2 - 1)*a*d^2/x + sqrt(d^2*x^2 - 1)*c/x + 1/2*sqrt(d^2*x^2 - 1)*b/x^2 + 1/3*sqrt(d^2*x^2 - 1)*a/x^3","A",0
40,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/(e*x+d)^3/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(e-d>0)', see `assume?` for more details)Is e-d positive, negative or zero?","F(-2)",0
41,-2,0,0,0.000000," ","integrate((b*x+a)^2*(C*x^2+B*x+A)*(d*x+c)^(1/2)*(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c*f-d*e>0)', see `assume?` for more details)Is c*f-d*e zero or nonzero?","F(-2)",0
42,-2,0,0,0.000000," ","integrate((b*x+a)*(C*x^2+B*x+A)*(d*x+c)^(1/2)*(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c*f-d*e>0)', see `assume?` for more details)Is c*f-d*e zero or nonzero?","F(-2)",0
43,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)*(d*x+c)^(1/2)*(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c*f-d*e>0)', see `assume?` for more details)Is c*f-d*e zero or nonzero?","F(-2)",0
44,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)*(d*x+c)^(1/2)*(f*x+e)^(1/2)/(b*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(2*a*d*f-b*c*f>0)', see `assume?` for more details)Is 2*a*d*f-b*c*f                                        -b*d*e    zero or nonzero?","F(-2)",0
45,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)*(d*x+c)^(1/2)*(f*x+e)^(1/2)/(b*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(2*a*d*f-b*c*f>0)', see `assume?` for more details)Is 2*a*d*f-b*c*f                                        -b*d*e    zero or nonzero?","F(-2)",0
46,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)*(d*x+c)^(1/2)*(f*x+e)^(1/2)/(b*x+a)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((a*d-b*c)>0)', see `assume?` for more details)Is (a*d-b*c)    *(a*f-b*e) zero or nonzero?","F(-2)",0
47,-2,0,0,0.000000," ","integrate((b*x+a)^2*(C*x^2+B*x+A)*(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c*f-d*e>0)', see `assume?` for more details)Is c*f-d*e zero or nonzero?","F(-2)",0
48,-2,0,0,0.000000," ","integrate((b*x+a)*(C*x^2+B*x+A)*(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c*f-d*e>0)', see `assume?` for more details)Is c*f-d*e zero or nonzero?","F(-2)",0
49,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)*(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c*f-d*e>0)', see `assume?` for more details)Is c*f-d*e zero or nonzero?","F(-2)",0
50,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)*(d*x+c)^(1/2)/(b*x+a)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(((-(2*a*d*f)/b^2)>0)', see `assume?` for more details)Is ((-(2*a*d*f)/b^2)    +(c*f)/b    +(d*e)/b)    ^2    -(4*d*f       *((a^2*d*f)/b^2        -(a*c*f)/b        -(a*d*e)/b        +c*e))     /b^2 zero or nonzero?","F(-2)",0
51,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)*(d*x+c)^(1/2)/(b*x+a)^2/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(((-(2*a*d*f)/b^2)>0)', see `assume?` for more details)Is ((-(2*a*d*f)/b^2)    +(c*f)/b    +(d*e)/b)    ^2    -(4*d*f       *((a^2*d*f)/b^2        -(a*c*f)/b        -(a*d*e)/b        +c*e))     /b^2 zero or nonzero?","F(-2)",0
52,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)*(d*x+c)^(1/2)/(b*x+a)^3/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(((-(2*a*d*f)/b^2)>0)', see `assume?` for more details)Is ((-(2*a*d*f)/b^2)    +(c*f)/b    +(d*e)/b)    ^2    -(4*d*f       *((a^2*d*f)/b^2        -(a*c*f)/b        -(a*d*e)/b        +c*e))     /b^2 zero or nonzero?","F(-2)",0
53,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)*(d*x+c)^(1/2)/(b*x+a)^4/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((a*d-b*c)>0)', see `assume?` for more details)Is (a*d-b*c)    *(a*f-b*e)    positive, negative or zero?","F(-2)",0
54,-2,0,0,0.000000," ","integrate((b*x+a)^2*(C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c*f-d*e>0)', see `assume?` for more details)Is c*f-d*e zero or nonzero?","F(-2)",0
55,-2,0,0,0.000000," ","integrate((b*x+a)*(C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c*f-d*e>0)', see `assume?` for more details)Is c*f-d*e zero or nonzero?","F(-2)",0
56,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c*f-d*e>0)', see `assume?` for more details)Is c*f-d*e zero or nonzero?","F(-2)",0
57,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(b*x+a)/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(((-(2*a*d*f)/b^2)>0)', see `assume?` for more details)Is ((-(2*a*d*f)/b^2)    +(c*f)/b    +(d*e)/b)    ^2    -(4*d*f       *((a^2*d*f)/b^2        -(a*c*f)/b        -(a*d*e)/b        +c*e))     /b^2 zero or nonzero?","F(-2)",0
58,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(b*x+a)^2/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(((-(2*a*d*f)/b^2)>0)', see `assume?` for more details)Is ((-(2*a*d*f)/b^2)    +(c*f)/b    +(d*e)/b)    ^2    -(4*d*f       *((a^2*d*f)/b^2        -(a*c*f)/b        -(a*d*e)/b        +c*e))     /b^2 zero or nonzero?","F(-2)",0
59,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(b*x+a)^3/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((a*d-b*c)>0)', see `assume?` for more details)Is (a*d-b*c)    *(a*f-b*e)    positive, negative or zero?","F(-2)",0
60,-2,0,0,0.000000," ","integrate((C*x^2+B*x+A)/(b*x+a)^4/(d*x+c)^(1/2)/(f*x+e)^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume((a*d-b*c)>0)', see `assume?` for more details)Is (a*d-b*c)    *(a*f-b*e)    positive, negative or zero?","F(-2)",0
61,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(C*x^2+B*x+A)*(d*x+c)^(1/2)*(f*x+e)^(1/2),x, algorithm=""maxima"")","\int {\left(C x^{2} + B x + A\right)} \sqrt{b x + a} \sqrt{d x + c} \sqrt{f x + e}\,{d x}"," ",0,"integrate((C*x^2 + B*x + A)*sqrt(b*x + a)*sqrt(d*x + c)*sqrt(f*x + e), x)","F",0
62,0,0,0,0.000000," ","integrate((C*x^2+B*x+A)*(d*x+c)^(1/2)*(f*x+e)^(1/2)/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(C x^{2} + B x + A\right)} \sqrt{d x + c} \sqrt{f x + e}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((C*x^2 + B*x + A)*sqrt(d*x + c)*sqrt(f*x + e)/sqrt(b*x + a), x)","F",0
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