1,1,108,0,0.445212," ","integrate((b*x+a)*(d*x+c)*(f*x+e)*(h*x+g),x, algorithm=""maxima"")","\frac{1}{5} \, b d f h x^{5} + a c e g x + \frac{1}{4} \, {\left(b d f g + {\left(b d e + {\left(b c + a d\right)} f\right)} h\right)} x^{4} + \frac{1}{3} \, {\left({\left(b d e + {\left(b c + a d\right)} f\right)} g + {\left(a c f + {\left(b c + a d\right)} e\right)} h\right)} x^{3} + \frac{1}{2} \, {\left(a c e h + {\left(a c f + {\left(b c + a d\right)} e\right)} g\right)} x^{2}"," ",0,"1/5*b*d*f*h*x^5 + a*c*e*g*x + 1/4*(b*d*f*g + (b*d*e + (b*c + a*d)*f)*h)*x^4 + 1/3*((b*d*e + (b*c + a*d)*f)*g + (a*c*f + (b*c + a*d)*e)*h)*x^3 + 1/2*(a*c*e*h + (a*c*f + (b*c + a*d)*e)*g)*x^2","A",0
2,1,162,0,0.442562," ","integrate((b*x+a)*(d*x+c)*(f*x+e)/(h*x+g),x, algorithm=""maxima"")","\frac{2 \, b d f h^{2} x^{3} - 3 \, {\left(b d f g h - {\left(b d e + {\left(b c + a d\right)} f\right)} h^{2}\right)} x^{2} + 6 \, {\left(b d f g^{2} - {\left(b d e + {\left(b c + a d\right)} f\right)} g h + {\left(a c f + {\left(b c + a d\right)} e\right)} h^{2}\right)} x}{6 \, h^{3}} - \frac{{\left(b d f g^{3} - a c e h^{3} - {\left(b d e + {\left(b c + a d\right)} f\right)} g^{2} h + {\left(a c f + {\left(b c + a d\right)} e\right)} g h^{2}\right)} \log\left(h x + g\right)}{h^{4}}"," ",0,"1/6*(2*b*d*f*h^2*x^3 - 3*(b*d*f*g*h - (b*d*e + (b*c + a*d)*f)*h^2)*x^2 + 6*(b*d*f*g^2 - (b*d*e + (b*c + a*d)*f)*g*h + (a*c*f + (b*c + a*d)*e)*h^2)*x)/h^3 - (b*d*f*g^3 - a*c*e*h^3 - (b*d*e + (b*c + a*d)*f)*g^2*h + (a*c*f + (b*c + a*d)*e)*g*h^2)*log(h*x + g)/h^4","A",0
3,1,104,0,0.438612," ","integrate((b*x+a)*(d*x+c)/(f*x+e)/(h*x+g),x, algorithm=""maxima"")","\frac{b d x}{f h} + \frac{{\left(b d e^{2} + a c f^{2} - {\left(b c + a d\right)} e f\right)} \log\left(f x + e\right)}{f^{3} g - e f^{2} h} - \frac{{\left(b d g^{2} + a c h^{2} - {\left(b c + a d\right)} g h\right)} \log\left(h x + g\right)}{f g h^{2} - e h^{3}}"," ",0,"b*d*x/(f*h) + (b*d*e^2 + a*c*f^2 - (b*c + a*d)*e*f)*log(f*x + e)/(f^3*g - e*f^2*h) - (b*d*g^2 + a*c*h^2 - (b*c + a*d)*g*h)*log(h*x + g)/(f*g*h^2 - e*h^3)","A",0
4,1,134,0,0.442726," ","integrate((b*x+a)/(d*x+c)/(f*x+e)/(h*x+g),x, algorithm=""maxima"")","-\frac{{\left(b c - a d\right)} \log\left(d x + c\right)}{{\left(d^{2} e - c d f\right)} g - {\left(c d e - c^{2} f\right)} h} + \frac{{\left(b e - a f\right)} \log\left(f x + e\right)}{{\left(d e f - c f^{2}\right)} g - {\left(d e^{2} - c e f\right)} h} - \frac{{\left(b g - a h\right)} \log\left(h x + g\right)}{d f g^{2} + c e h^{2} - {\left(d e + c f\right)} g h}"," ",0,"-(b*c - a*d)*log(d*x + c)/((d^2*e - c*d*f)*g - (c*d*e - c^2*f)*h) + (b*e - a*f)*log(f*x + e)/((d*e*f - c*f^2)*g - (d*e^2 - c*e*f)*h) - (b*g - a*h)*log(h*x + g)/(d*f*g^2 + c*e*h^2 - (d*e + c*f)*g*h)","A",0
5,1,310,0,0.488588," ","integrate(1/(b*x+a)/(d*x+c)/(f*x+e)/(h*x+g),x, algorithm=""maxima"")","\frac{b^{2} \log\left(b x + a\right)}{{\left({\left(b^{3} c - a b^{2} d\right)} e - {\left(a b^{2} c - a^{2} b d\right)} f\right)} g - {\left({\left(a b^{2} c - a^{2} b d\right)} e - {\left(a^{2} b c - a^{3} d\right)} f\right)} h} - \frac{d^{2} \log\left(d x + c\right)}{{\left({\left(b c d^{2} - a d^{3}\right)} e - {\left(b c^{2} d - a c d^{2}\right)} f\right)} g - {\left({\left(b c^{2} d - a c d^{2}\right)} e - {\left(b c^{3} - a c^{2} d\right)} f\right)} h} + \frac{f^{2} \log\left(f x + e\right)}{{\left(b d e^{2} f + a c f^{3} - {\left(b c + a d\right)} e f^{2}\right)} g - {\left(b d e^{3} + a c e f^{2} - {\left(b c + a d\right)} e^{2} f\right)} h} - \frac{h^{2} \log\left(h x + g\right)}{b d f g^{3} - a c e h^{3} - {\left(b d e + {\left(b c + a d\right)} f\right)} g^{2} h + {\left(a c f + {\left(b c + a d\right)} e\right)} g h^{2}}"," ",0,"b^2*log(b*x + a)/(((b^3*c - a*b^2*d)*e - (a*b^2*c - a^2*b*d)*f)*g - ((a*b^2*c - a^2*b*d)*e - (a^2*b*c - a^3*d)*f)*h) - d^2*log(d*x + c)/(((b*c*d^2 - a*d^3)*e - (b*c^2*d - a*c*d^2)*f)*g - ((b*c^2*d - a*c*d^2)*e - (b*c^3 - a*c^2*d)*f)*h) + f^2*log(f*x + e)/((b*d*e^2*f + a*c*f^3 - (b*c + a*d)*e*f^2)*g - (b*d*e^3 + a*c*e*f^2 - (b*c + a*d)*e^2*f)*h) - h^2*log(h*x + g)/(b*d*f*g^3 - a*c*e*h^3 - (b*d*e + (b*c + a*d)*f)*g^2*h + (a*c*f + (b*c + a*d)*e)*g*h^2)","A",0
6,1,19,0,0.430076," ","integrate(x/(1+x)/(2+x)/(3+x),x, algorithm=""maxima"")","-\frac{3}{2} \, \log\left(x + 3\right) + 2 \, \log\left(x + 2\right) - \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"-3/2*log(x + 3) + 2*log(x + 2) - 1/2*log(x + 1)","A",0
7,1,34,0,0.433063," ","integrate((x^3-x^2)/(-6+x)/(3+5*x)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(335 \, x + 157\right)}}{15125 \, {\left(25 \, x^{2} + 30 \, x + 9\right)}} + \frac{1493}{499125} \, \log\left(5 \, x + 3\right) + \frac{20}{3993} \, \log\left(x - 6\right)"," ",0,"3/15125*(335*x + 157)/(25*x^2 + 30*x + 9) + 1493/499125*log(5*x + 3) + 20/3993*log(x - 6)","A",0
8,1,239,0,0.990684," ","integrate((b*x+a)^3*(f*x+e)*(d*x+c)^(1/2)/x,x, algorithm=""maxima"")","a^{3} \sqrt{c} e \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right) + \frac{2 \, {\left(315 \, \sqrt{d x + c} a^{3} d^{4} e + 35 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{3} f + 45 \, {\left(b^{3} d e - 3 \, {\left(b^{3} c - a b^{2} d\right)} f\right)} {\left(d x + c\right)}^{\frac{7}{2}} - 63 \, {\left({\left(2 \, b^{3} c d - 3 \, a b^{2} d^{2}\right)} e - 3 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} f\right)} {\left(d x + c\right)}^{\frac{5}{2}} + 105 \, {\left({\left(b^{3} c^{2} d - 3 \, a b^{2} c d^{2} + 3 \, a^{2} b d^{3}\right)} e - {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} f\right)} {\left(d x + c\right)}^{\frac{3}{2}}\right)}}{315 \, d^{4}}"," ",0,"a^3*sqrt(c)*e*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c))) + 2/315*(315*sqrt(d*x + c)*a^3*d^4*e + 35*(d*x + c)^(9/2)*b^3*f + 45*(b^3*d*e - 3*(b^3*c - a*b^2*d)*f)*(d*x + c)^(7/2) - 63*((2*b^3*c*d - 3*a*b^2*d^2)*e - 3*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*f)*(d*x + c)^(5/2) + 105*((b^3*c^2*d - 3*a*b^2*c*d^2 + 3*a^2*b*d^3)*e - (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*f)*(d*x + c)^(3/2))/d^4","A",0
9,1,152,0,0.962607," ","integrate((b*x+a)^2*(f*x+e)*(d*x+c)^(1/2)/x,x, algorithm=""maxima"")","a^{2} \sqrt{c} e \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right) + \frac{2 \, {\left(105 \, \sqrt{d x + c} a^{2} d^{3} e + 15 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{2} f + 21 \, {\left(b^{2} d e - 2 \, {\left(b^{2} c - a b d\right)} f\right)} {\left(d x + c\right)}^{\frac{5}{2}} - 35 \, {\left({\left(b^{2} c d - 2 \, a b d^{2}\right)} e - {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f\right)} {\left(d x + c\right)}^{\frac{3}{2}}\right)}}{105 \, d^{3}}"," ",0,"a^2*sqrt(c)*e*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c))) + 2/105*(105*sqrt(d*x + c)*a^2*d^3*e + 15*(d*x + c)^(7/2)*b^2*f + 21*(b^2*d*e - 2*(b^2*c - a*b*d)*f)*(d*x + c)^(5/2) - 35*((b^2*c*d - 2*a*b*d^2)*e - (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f)*(d*x + c)^(3/2))/d^3","A",0
10,1,91,0,0.979439," ","integrate((b*x+a)*(f*x+e)*(d*x+c)^(1/2)/x,x, algorithm=""maxima"")","a \sqrt{c} e \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right) + \frac{2 \, {\left(15 \, \sqrt{d x + c} a d^{2} e + 3 \, {\left(d x + c\right)}^{\frac{5}{2}} b f + 5 \, {\left(b d e - {\left(b c - a d\right)} f\right)} {\left(d x + c\right)}^{\frac{3}{2}}\right)}}{15 \, d^{2}}"," ",0,"a*sqrt(c)*e*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c))) + 2/15*(15*sqrt(d*x + c)*a*d^2*e + 3*(d*x + c)^(5/2)*b*f + 5*(b*d*e - (b*c - a*d)*f)*(d*x + c)^(3/2))/d^2","A",0
11,1,60,0,0.978983," ","integrate((f*x+e)*(d*x+c)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{c} e \log\left(\frac{\sqrt{d x + c} - \sqrt{c}}{\sqrt{d x + c} + \sqrt{c}}\right) + \frac{2 \, {\left(3 \, \sqrt{d x + c} d e + {\left(d x + c\right)}^{\frac{3}{2}} f\right)}}{3 \, d}"," ",0,"sqrt(c)*e*log((sqrt(d*x + c) - sqrt(c))/(sqrt(d*x + c) + sqrt(c))) + 2/3*(3*sqrt(d*x + c)*d*e + (d*x + c)^(3/2)*f)/d","A",0
12,-2,0,0,0.000000," ","integrate((f*x+e)*(d*x+c)^(1/2)/x/(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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
13,-2,0,0,0.000000," ","integrate((f*x+e)*(d*x+c)^(1/2)/x/(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(a*d-b*c>0)', see `assume?` for more details)Is a*d-b*c positive or negative?","F(-2)",0
14,-2,0,0,0.000000," ","integrate((f*x+e)*(d*x+c)^(1/2)/x/(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 positive or negative?","F(-2)",0
15,1,238,0,0.973842," ","integrate((d*x+c)^3*(f*x+e)*(b*x+a)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{a} c^{3} e \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2 \, {\left(315 \, \sqrt{b x + a} b^{4} c^{3} e + 35 \, {\left(b x + a\right)}^{\frac{9}{2}} d^{3} f + 45 \, {\left(b d^{3} e + 3 \, {\left(b c d^{2} - a d^{3}\right)} f\right)} {\left(b x + a\right)}^{\frac{7}{2}} + 63 \, {\left({\left(3 \, b^{2} c d^{2} - 2 \, a b d^{3}\right)} e + 3 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} f\right)} {\left(b x + a\right)}^{\frac{5}{2}} + 105 \, {\left({\left(3 \, b^{3} c^{2} d - 3 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} e + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} f\right)} {\left(b x + a\right)}^{\frac{3}{2}}\right)}}{315 \, b^{4}}"," ",0,"sqrt(a)*c^3*e*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/315*(315*sqrt(b*x + a)*b^4*c^3*e + 35*(b*x + a)^(9/2)*d^3*f + 45*(b*d^3*e + 3*(b*c*d^2 - a*d^3)*f)*(b*x + a)^(7/2) + 63*((3*b^2*c*d^2 - 2*a*b*d^3)*e + 3*(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*f)*(b*x + a)^(5/2) + 105*((3*b^3*c^2*d - 3*a*b^2*c*d^2 + a^2*b*d^3)*e + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*f)*(b*x + a)^(3/2))/b^4","A",0
16,1,152,0,0.980409," ","integrate((d*x+c)^2*(f*x+e)*(b*x+a)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{a} c^{2} e \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2 \, {\left(105 \, \sqrt{b x + a} b^{3} c^{2} e + 15 \, {\left(b x + a\right)}^{\frac{7}{2}} d^{2} f + 21 \, {\left(b d^{2} e + 2 \, {\left(b c d - a d^{2}\right)} f\right)} {\left(b x + a\right)}^{\frac{5}{2}} + 35 \, {\left({\left(2 \, b^{2} c d - a b d^{2}\right)} e + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f\right)} {\left(b x + a\right)}^{\frac{3}{2}}\right)}}{105 \, b^{3}}"," ",0,"sqrt(a)*c^2*e*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/105*(105*sqrt(b*x + a)*b^3*c^2*e + 15*(b*x + a)^(7/2)*d^2*f + 21*(b*d^2*e + 2*(b*c*d - a*d^2)*f)*(b*x + a)^(5/2) + 35*((2*b^2*c*d - a*b*d^2)*e + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f)*(b*x + a)^(3/2))/b^3","A",0
17,1,90,0,0.978686," ","integrate((d*x+c)*(f*x+e)*(b*x+a)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{a} c e \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2 \, {\left(15 \, \sqrt{b x + a} b^{2} c e + 3 \, {\left(b x + a\right)}^{\frac{5}{2}} d f + 5 \, {\left(b d e + {\left(b c - a d\right)} f\right)} {\left(b x + a\right)}^{\frac{3}{2}}\right)}}{15 \, b^{2}}"," ",0,"sqrt(a)*c*e*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/15*(15*sqrt(b*x + a)*b^2*c*e + 3*(b*x + a)^(5/2)*d*f + 5*(b*d*e + (b*c - a*d)*f)*(b*x + a)^(3/2))/b^2","A",0
18,1,60,0,0.973835," ","integrate((f*x+e)*(b*x+a)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{a} e \log\left(\frac{\sqrt{b x + a} - \sqrt{a}}{\sqrt{b x + a} + \sqrt{a}}\right) + \frac{2 \, {\left(3 \, \sqrt{b x + a} b e + {\left(b x + a\right)}^{\frac{3}{2}} f\right)}}{3 \, b}"," ",0,"sqrt(a)*e*log((sqrt(b*x + a) - sqrt(a))/(sqrt(b*x + a) + sqrt(a))) + 2/3*(3*sqrt(b*x + a)*b*e + (b*x + a)^(3/2)*f)/b","A",0
19,-2,0,0,0.000000," ","integrate((f*x+e)*(b*x+a)^(1/2)/x/(d*x+c),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 positive or negative?","F(-2)",0
20,-2,0,0,0.000000," ","integrate((f*x+e)*(b*x+a)^(1/2)/x/(d*x+c)^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 positive or negative?","F(-2)",0
21,-2,0,0,0.000000," ","integrate((f*x+e)*(b*x+a)^(1/2)/x/(d*x+c)^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 positive or negative?","F(-2)",0
22,1,105,0,0.974214," ","integrate(x^3*(a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-a^{2} x^{2} + a x} x^{3}}{4 \, a} - \frac{5 \, \sqrt{-a^{2} x^{2} + a x} x^{2}}{8 \, a^{2}} - \frac{25 \, \sqrt{-a^{2} x^{2} + a x} x}{32 \, a^{3}} - \frac{75 \, \arcsin\left(-\frac{2 \, a^{2} x - a}{a}\right)}{128 \, a^{4}} - \frac{75 \, \sqrt{-a^{2} x^{2} + a x}}{64 \, a^{4}}"," ",0,"-1/4*sqrt(-a^2*x^2 + a*x)*x^3/a - 5/8*sqrt(-a^2*x^2 + a*x)*x^2/a^2 - 25/32*sqrt(-a^2*x^2 + a*x)*x/a^3 - 75/128*arcsin(-(2*a^2*x - a)/a)/a^4 - 75/64*sqrt(-a^2*x^2 + a*x)/a^4","A",0
23,1,83,0,0.992844," ","integrate(x^2*(a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-a^{2} x^{2} + a x} x^{2}}{3 \, a} - \frac{11 \, \sqrt{-a^{2} x^{2} + a x} x}{12 \, a^{2}} - \frac{11 \, \arcsin\left(-\frac{2 \, a^{2} x - a}{a}\right)}{16 \, a^{3}} - \frac{11 \, \sqrt{-a^{2} x^{2} + a x}}{8 \, a^{3}}"," ",0,"-1/3*sqrt(-a^2*x^2 + a*x)*x^2/a - 11/12*sqrt(-a^2*x^2 + a*x)*x/a^2 - 11/16*arcsin(-(2*a^2*x - a)/a)/a^3 - 11/8*sqrt(-a^2*x^2 + a*x)/a^3","A",0
24,1,61,0,0.961892," ","integrate(x*(a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{\sqrt{-a^{2} x^{2} + a x} x}{2 \, a} - \frac{7 \, \arcsin\left(-\frac{2 \, a^{2} x - a}{a}\right)}{8 \, a^{2}} - \frac{7 \, \sqrt{-a^{2} x^{2} + a x}}{4 \, a^{2}}"," ",0,"-1/2*sqrt(-a^2*x^2 + a*x)*x/a - 7/8*arcsin(-(2*a^2*x - a)/a)/a^2 - 7/4*sqrt(-a^2*x^2 + a*x)/a^2","A",0
25,1,41,0,0.954986," ","integrate((a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{3 \, \arcsin\left(-\frac{2 \, a^{2} x - a}{a}\right)}{2 \, a} - \frac{\sqrt{-a^{2} x^{2} + a x}}{a}"," ",0,"-3/2*arcsin(-(2*a^2*x - a)/a)/a - sqrt(-a^2*x^2 + a*x)/a","A",0
26,1,41,0,0.953332," ","integrate((a*x+1)/x/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{-a^{2} x^{2} + a x}}{a x} - \arcsin\left(-\frac{2 \, a^{2} x - a}{a}\right)"," ",0,"-2*sqrt(-a^2*x^2 + a*x)/(a*x) - arcsin(-(2*a^2*x - a)/a)","A",0
27,1,42,0,0.957693," ","integrate((a*x+1)/x^2/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{10 \, \sqrt{-a^{2} x^{2} + a x}}{3 \, x} - \frac{2 \, \sqrt{-a^{2} x^{2} + a x}}{3 \, a x^{2}}"," ",0,"-10/3*sqrt(-a^2*x^2 + a*x)/x - 2/3*sqrt(-a^2*x^2 + a*x)/(a*x^2)","A",0
28,1,62,0,0.961685," ","integrate((a*x+1)/x^3/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{12 \, \sqrt{-a^{2} x^{2} + a x} a}{5 \, x} - \frac{6 \, \sqrt{-a^{2} x^{2} + a x}}{5 \, x^{2}} - \frac{2 \, \sqrt{-a^{2} x^{2} + a x}}{5 \, a x^{3}}"," ",0,"-12/5*sqrt(-a^2*x^2 + a*x)*a/x - 6/5*sqrt(-a^2*x^2 + a*x)/x^2 - 2/5*sqrt(-a^2*x^2 + a*x)/(a*x^3)","A",0
29,1,84,0,0.973050," ","integrate((a*x+1)/x^4/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{208 \, \sqrt{-a^{2} x^{2} + a x} a^{2}}{105 \, x} - \frac{104 \, \sqrt{-a^{2} x^{2} + a x} a}{105 \, x^{2}} - \frac{26 \, \sqrt{-a^{2} x^{2} + a x}}{35 \, x^{3}} - \frac{2 \, \sqrt{-a^{2} x^{2} + a x}}{7 \, a x^{4}}"," ",0,"-208/105*sqrt(-a^2*x^2 + a*x)*a^2/x - 104/105*sqrt(-a^2*x^2 + a*x)*a/x^2 - 26/35*sqrt(-a^2*x^2 + a*x)/x^3 - 2/7*sqrt(-a^2*x^2 + a*x)/(a*x^4)","A",0
30,1,106,0,0.966012," ","integrate((a*x+1)/x^5/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""maxima"")","-\frac{544 \, \sqrt{-a^{2} x^{2} + a x} a^{3}}{315 \, x} - \frac{272 \, \sqrt{-a^{2} x^{2} + a x} a^{2}}{315 \, x^{2}} - \frac{68 \, \sqrt{-a^{2} x^{2} + a x} a}{105 \, x^{3}} - \frac{34 \, \sqrt{-a^{2} x^{2} + a x}}{63 \, x^{4}} - \frac{2 \, \sqrt{-a^{2} x^{2} + a x}}{9 \, a x^{5}}"," ",0,"-544/315*sqrt(-a^2*x^2 + a*x)*a^3/x - 272/315*sqrt(-a^2*x^2 + a*x)*a^2/x^2 - 68/105*sqrt(-a^2*x^2 + a*x)*a/x^3 - 34/63*sqrt(-a^2*x^2 + a*x)/x^4 - 2/9*sqrt(-a^2*x^2 + a*x)/(a*x^5)","A",0
31,1,21,0,0.962487," ","integrate((2*a*x-1)/x^2/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","-2 \, a \arcsin\left(\frac{1}{{\left| x \right|}}\right) - \frac{\sqrt{x^{2} - 1}}{x}"," ",0,"-2*a*arcsin(1/abs(x)) - sqrt(x^2 - 1)/x","A",0
32,1,21,0,0.976155," ","integrate((a^2*x^2-(-a*x+1)^2)/x^2/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""maxima"")","-2 \, a \arcsin\left(\frac{1}{{\left| x \right|}}\right) - \frac{\sqrt{x^{2} - 1}}{x}"," ",0,"-2*a*arcsin(1/abs(x)) - sqrt(x^2 - 1)/x","A",0
33,0,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)^(1/2)/(c+b*(-1+c)*x/a)^(1/2)/(e+b*(-1+e)*x/a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{b x + a} \sqrt{\frac{b {\left(c - 1\right)} x}{a} + c} \sqrt{\frac{b {\left(e - 1\right)} x}{a} + e}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(b*x + a)*sqrt(b*(c - 1)*x/a + c)*sqrt(b*(e - 1)*x/a + e)), x)","F",0
34,0,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(e+b*(-1+e)*x/a)^(1/2),x, algorithm=""maxima"")","\int \frac{B x + A}{\sqrt{b x + a} \sqrt{d x + c} \sqrt{\frac{b {\left(e - 1\right)} x}{a} + e}}\,{d x}"," ",0,"integrate((B*x + A)/(sqrt(b*x + a)*sqrt(d*x + c)*sqrt(b*(e - 1)*x/a + e)), x)","F",0
35,0,0,0,0.000000," ","integrate((7+5*x)^3*(2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2),x, algorithm=""maxima"")","\int {\left(5 \, x + 7\right)}^{3} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}\,{d x}"," ",0,"integrate((5*x + 7)^3*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2), x)","F",0
36,0,0,0,0.000000," ","integrate((7+5*x)^2*(2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2),x, algorithm=""maxima"")","\int {\left(5 \, x + 7\right)}^{2} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}\,{d x}"," ",0,"integrate((5*x + 7)^2*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2), x)","F",0
37,0,0,0,0.000000," ","integrate((7+5*x)*(2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2),x, algorithm=""maxima"")","\int {\left(5 \, x + 7\right)} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}\,{d x}"," ",0,"integrate((5*x + 7)*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2), x)","F",0
38,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2), x)","F",0
39,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}{5 \, x + 7}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)/(5*x + 7), x)","F",0
40,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^2,x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)/(5*x + 7)^2, x)","F",0
41,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^3,x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)/(5*x + 7)^3, x)","F",0
42,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^4,x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{4}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)/(5*x + 7)^4, x)","F",0
43,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)*(f*x+e)^(1/2)*(h*x+g)^(1/2)/(b*x+a),x, algorithm=""maxima"")","\int \frac{\sqrt{d x + c} \sqrt{f x + e} \sqrt{h x + g}}{b x + a}\,{d x}"," ",0,"integrate(sqrt(d*x + c)*sqrt(f*x + e)*sqrt(h*x + g)/(b*x + a), x)","F",0
44,0,0,0,0.000000," ","integrate((7+5*x)^3*(2-3*x)^(1/2)*(1+4*x)^(1/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{3} \sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{\sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate((5*x + 7)^3*sqrt(4*x + 1)*sqrt(-3*x + 2)/sqrt(2*x - 5), x)","F",0
45,0,0,0,0.000000," ","integrate((7+5*x)^2*(2-3*x)^(1/2)*(1+4*x)^(1/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{2} \sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{\sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate((5*x + 7)^2*sqrt(4*x + 1)*sqrt(-3*x + 2)/sqrt(2*x - 5), x)","F",0
46,0,0,0,0.000000," ","integrate((7+5*x)*(2-3*x)^(1/2)*(1+4*x)^(1/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)} \sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{\sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate((5*x + 7)*sqrt(4*x + 1)*sqrt(-3*x + 2)/sqrt(2*x - 5), x)","F",0
47,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(1+4*x)^(1/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{\sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(-3*x + 2)/sqrt(2*x - 5), x)","F",0
48,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(-3*x + 2)/((5*x + 7)*sqrt(2*x - 5)), x)","F",0
49,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^2/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{2} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(-3*x + 2)/((5*x + 7)^2*sqrt(2*x - 5)), x)","F",0
50,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^3/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{3} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(-3*x + 2)/((5*x + 7)^3*sqrt(2*x - 5)), x)","F",0
51,0,0,0,0.000000," ","integrate((7+5*x)^3*(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{3} \sqrt{-3 \, x + 2}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate((5*x + 7)^3*sqrt(-3*x + 2)/(sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
52,0,0,0,0.000000," ","integrate((7+5*x)^2*(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{2} \sqrt{-3 \, x + 2}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate((5*x + 7)^2*sqrt(-3*x + 2)/(sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
53,0,0,0,0.000000," ","integrate((7+5*x)*(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)} \sqrt{-3 \, x + 2}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate((5*x + 7)*sqrt(-3*x + 2)/(sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
54,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-3 \, x + 2}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(-3*x + 2)/(sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
55,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)/(7+5*x)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(-3*x + 2)/((5*x + 7)*sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
56,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)/(7+5*x)^2/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{2} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(-3*x + 2)/((5*x + 7)^2*sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
57,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)/(7+5*x)^3/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{3} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(-3*x + 2)/((5*x + 7)^3*sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
58,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{d x + c}}{{\left(b x + a\right)} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate(sqrt(d*x + c)/((b*x + a)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
59,0,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)}^{\frac{3}{2}}}{{\left(b x + a\right)} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate((d*x + c)^(3/2)/((b*x + a)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
60,0,0,0,0.000000," ","integrate((7+5*x)^4/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{4}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 7)^4/(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
61,0,0,0,0.000000," ","integrate((7+5*x)^3/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{3}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 7)^3/(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
62,0,0,0,0.000000," ","integrate((7+5*x)^2/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{2}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 7)^2/(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
63,0,0,0,0.000000," ","integrate((7+5*x)/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{5 \, x + 7}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 7)/(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
64,0,0,0,0.000000," ","integrate(1/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(1/(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
65,0,0,0,0.000000," ","integrate(1/(7+5*x)/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x + 7\right)} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(1/((5*x + 7)*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
66,0,0,0,0.000000," ","integrate(1/(7+5*x)^2/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x + 7\right)}^{2} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(1/((5*x + 7)^2*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
67,0,0,0,0.000000," ","integrate(1/(7+5*x)^3/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x + 7\right)}^{3} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(1/((5*x + 7)^3*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
68,0,0,0,0.000000," ","integrate((d*i*x+c*i)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{d i x + c i}{\sqrt{d x + c} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate((d*i*x + c*i)/(sqrt(d*x + c)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
69,0,0,0,0.000000," ","integrate((b*x+a)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{b x + a}{\sqrt{d x + c} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate((b*x + a)/(sqrt(d*x + c)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
70,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)} \sqrt{d x + c} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate(1/((b*x + a)*sqrt(d*x + c)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
71,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(3/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)} {\left(d x + c\right)}^{\frac{3}{2}} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate(1/((b*x + a)*(d*x + c)^(3/2)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
72,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(5/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)} {\left(d x + c\right)}^{\frac{5}{2}} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate(1/((b*x + a)*(d*x + c)^(5/2)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
73,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/2)/(-f*x+1)^(1/2)/(f*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)} \sqrt{d x + c} \sqrt{f x + 1} \sqrt{-f x + 1}}\,{d x}"," ",0,"integrate(1/((b*x + a)*sqrt(d*x + c)*sqrt(f*x + 1)*sqrt(-f*x + 1)), x)","F",0
74,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/2)/(-f^2*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-f^{2} x^{2} + 1} {\left(b x + a\right)} \sqrt{d x + c}}\,{d x}"," ",0,"integrate(1/(sqrt(-f^2*x^2 + 1)*(b*x + a)*sqrt(d*x + c)), x)","F",0
75,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/2)/(-f^2*x+1)^(1/2)/(f^2*x+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{f^{2} x + 1} \sqrt{-f^{2} x + 1} {\left(b x + a\right)} \sqrt{d x + c}}\,{d x}"," ",0,"integrate(1/(sqrt(f^2*x + 1)*sqrt(-f^2*x + 1)*(b*x + a)*sqrt(d*x + c)), x)","F",0
76,0,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/2)/(-f^4*x^2+1)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-f^{4} x^{2} + 1} {\left(b x + a\right)} \sqrt{d x + c}}\,{d x}"," ",0,"integrate(1/(sqrt(-f^4*x^2 + 1)*(b*x + a)*sqrt(d*x + c)), x)","F",0
77,0,0,0,0.000000," ","integrate((7+5*x)^(5/2)*(2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2),x, algorithm=""maxima"")","\int {\left(5 \, x + 7\right)}^{\frac{5}{2}} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}\,{d x}"," ",0,"integrate((5*x + 7)^(5/2)*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2), x)","F",0
78,0,0,0,0.000000," ","integrate((7+5*x)^(3/2)*(2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2),x, algorithm=""maxima"")","\int {\left(5 \, x + 7\right)}^{\frac{3}{2}} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}\,{d x}"," ",0,"integrate((5*x + 7)^(3/2)*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2), x)","F",0
79,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2)*(7+5*x)^(1/2),x, algorithm=""maxima"")","\int \sqrt{5 \, x + 7} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}\,{d x}"," ",0,"integrate(sqrt(5*x + 7)*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2), x)","F",0
80,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}{\sqrt{5 \, x + 7}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)/sqrt(5*x + 7), x)","F",0
81,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)/(5*x + 7)^(3/2), x)","F",0
82,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)/(5*x + 7)^(5/2), x)","F",0
83,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)/(5*x + 7)^(7/2), x)","F",0
84,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(-5+2*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^(9/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)/(5*x + 7)^(9/2), x)","F",0
85,0,0,0,0.000000," ","integrate((7+5*x)^(5/2)*(2-3*x)^(1/2)*(1+4*x)^(1/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{\frac{5}{2}} \sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{\sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate((5*x + 7)^(5/2)*sqrt(4*x + 1)*sqrt(-3*x + 2)/sqrt(2*x - 5), x)","F",0
86,0,0,0,0.000000," ","integrate((7+5*x)^(3/2)*(2-3*x)^(1/2)*(1+4*x)^(1/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{\frac{3}{2}} \sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{\sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate((5*x + 7)^(3/2)*sqrt(4*x + 1)*sqrt(-3*x + 2)/sqrt(2*x - 5), x)","F",0
87,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(1+4*x)^(1/2)*(7+5*x)^(1/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{5 \, x + 7} \sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{\sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(5*x + 7)*sqrt(4*x + 1)*sqrt(-3*x + 2)/sqrt(2*x - 5), x)","F",0
88,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^(1/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{\sqrt{5 \, x + 7} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(-3*x + 2)/(sqrt(5*x + 7)*sqrt(2*x - 5)), x)","F",0
89,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^(3/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{\frac{3}{2}} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(-3*x + 2)/((5*x + 7)^(3/2)*sqrt(2*x - 5)), x)","F",0
90,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^(5/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{\frac{5}{2}} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(-3*x + 2)/((5*x + 7)^(5/2)*sqrt(2*x - 5)), x)","F",0
91,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^(7/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{\frac{7}{2}} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(-3*x + 2)/((5*x + 7)^(7/2)*sqrt(2*x - 5)), x)","F",0
92,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)*(1+4*x)^(1/2)/(7+5*x)^(9/2)/(-5+2*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{4 \, x + 1} \sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{\frac{9}{2}} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(4*x + 1)*sqrt(-3*x + 2)/((5*x + 7)^(9/2)*sqrt(2*x - 5)), x)","F",0
93,0,0,0,0.000000," ","integrate((7+5*x)^(5/2)*(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{\frac{5}{2}} \sqrt{-3 \, x + 2}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate((5*x + 7)^(5/2)*sqrt(-3*x + 2)/(sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
94,0,0,0,0.000000," ","integrate((7+5*x)^(3/2)*(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{\frac{3}{2}} \sqrt{-3 \, x + 2}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate((5*x + 7)^(3/2)*sqrt(-3*x + 2)/(sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
95,0,0,0,0.000000," ","integrate((7+5*x)^(1/2)*(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{5 \, x + 7} \sqrt{-3 \, x + 2}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(5*x + 7)*sqrt(-3*x + 2)/(sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
96,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)/(7+5*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-3 \, x + 2}}{\sqrt{5 \, x + 7} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(-3*x + 2)/(sqrt(5*x + 7)*sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
97,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)/(7+5*x)^(3/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{\frac{3}{2}} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(-3*x + 2)/((5*x + 7)^(3/2)*sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
98,0,0,0,0.000000," ","integrate((2-3*x)^(1/2)/(7+5*x)^(5/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{-3 \, x + 2}}{{\left(5 \, x + 7\right)}^{\frac{5}{2}} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5}}\,{d x}"," ",0,"integrate(sqrt(-3*x + 2)/((5*x + 7)^(5/2)*sqrt(4*x + 1)*sqrt(2*x - 5)), x)","F",0
99,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)*(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x + a} \sqrt{d x + c}}{\sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)*sqrt(d*x + c)/(sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
100,0,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^(3/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{d x + c}}{{\left(b x + a\right)}^{\frac{3}{2}} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate(sqrt(d*x + c)/((b*x + a)^(3/2)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
101,0,0,0,0.000000," ","integrate((7+5*x)^(5/2)/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{\frac{5}{2}}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 7)^(5/2)/(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
102,0,0,0,0.000000," ","integrate((7+5*x)^(3/2)/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(5 \, x + 7\right)}^{\frac{3}{2}}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate((5*x + 7)^(3/2)/(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
103,0,0,0,0.000000," ","integrate((7+5*x)^(1/2)/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{5 \, x + 7}}{\sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(sqrt(5*x + 7)/(sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
104,0,0,0,0.000000," ","integrate(1/(7+5*x)^(1/2)/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{5 \, x + 7} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(1/(sqrt(5*x + 7)*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
105,0,0,0,0.000000," ","integrate(1/(7+5*x)^(3/2)/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x + 7\right)}^{\frac{3}{2}} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(1/((5*x + 7)^(3/2)*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
106,0,0,0,0.000000," ","integrate(1/(7+5*x)^(5/2)/(2-3*x)^(1/2)/(-5+2*x)^(1/2)/(1+4*x)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(5 \, x + 7\right)}^{\frac{5}{2}} \sqrt{4 \, x + 1} \sqrt{2 \, x - 5} \sqrt{-3 \, x + 2}}\,{d x}"," ",0,"integrate(1/((5*x + 7)^(5/2)*sqrt(4*x + 1)*sqrt(2*x - 5)*sqrt(-3*x + 2)), x)","F",0
107,0,0,0,0.000000," ","integrate((b*x+a)^(3/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{3}{2}}}{\sqrt{d x + c} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate((b*x + a)^(3/2)/(sqrt(d*x + c)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
108,0,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b x + a}}{\sqrt{d x + c} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate(sqrt(b*x + a)/(sqrt(d*x + c)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
109,0,0,0,0.000000," ","integrate(1/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b x + a} \sqrt{d x + c} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate(1/(sqrt(b*x + a)*sqrt(d*x + c)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
110,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} \sqrt{d x + c} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*sqrt(d*x + c)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
111,0,0,0,0.000000," ","integrate(1/(b*x+a)^(3/2)/(d*x+c)^(3/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{{\left(b x + a\right)}^{\frac{3}{2}} {\left(d x + c\right)}^{\frac{3}{2}} \sqrt{f x + e} \sqrt{h x + g}}\,{d x}"," ",0,"integrate(1/((b*x + a)^(3/2)*(d*x + c)^(3/2)*sqrt(f*x + e)*sqrt(h*x + g)), x)","F",0
112,0,0,0,0.000000," ","integrate(x^4*(f*x+e)^n/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{4}}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)^n*x^4/((b*x + a)*(d*x + c)), x)","F",0
113,0,0,0,0.000000," ","integrate(x^3*(f*x+e)^n/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{3}}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)^n*x^3/((b*x + a)*(d*x + c)), x)","F",0
114,0,0,0,0.000000," ","integrate(x^2*(f*x+e)^n/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{2}}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)^n*x^2/((b*x + a)*(d*x + c)), x)","F",0
115,0,0,0,0.000000," ","integrate(x*(f*x+e)^n/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)^n*x/((b*x + a)*(d*x + c)), x)","F",0
116,0,0,0,0.000000," ","integrate((f*x+e)^n/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n}}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)^n/((b*x + a)*(d*x + c)), x)","F",0
117,0,0,0,0.000000," ","integrate((f*x+e)^n/x/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n}}{{\left(b x + a\right)} {\left(d x + c\right)} x}\,{d x}"," ",0,"integrate((f*x + e)^n/((b*x + a)*(d*x + c)*x), x)","F",0
118,0,0,0,0.000000," ","integrate((f*x+e)^n/x^2/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n}}{{\left(b x + a\right)} {\left(d x + c\right)} x^{2}}\,{d x}"," ",0,"integrate((f*x + e)^n/((b*x + a)*(d*x + c)*x^2), x)","F",0
119,1,474,0,0.541968," ","integrate((b*x+a)^m*(d*x+c)*(f*x+e)*(h*x+g),x, algorithm=""maxima"")","\frac{{\left(b^{2} {\left(m + 1\right)} x^{2} + a b m x - a^{2}\right)} {\left(b x + a\right)}^{m} d e g}{{\left(m^{2} + 3 \, m + 2\right)} b^{2}} + \frac{{\left(b^{2} {\left(m + 1\right)} x^{2} + a b m x - a^{2}\right)} {\left(b x + a\right)}^{m} c f g}{{\left(m^{2} + 3 \, m + 2\right)} b^{2}} + \frac{{\left(b^{2} {\left(m + 1\right)} x^{2} + a b m x - a^{2}\right)} {\left(b x + a\right)}^{m} c e h}{{\left(m^{2} + 3 \, m + 2\right)} b^{2}} + \frac{{\left(b x + a\right)}^{m + 1} c e g}{b {\left(m + 1\right)}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} x^{3} + {\left(m^{2} + m\right)} a b^{2} x^{2} - 2 \, a^{2} b m x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{m} d f g}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{3}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} x^{3} + {\left(m^{2} + m\right)} a b^{2} x^{2} - 2 \, a^{2} b m x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{m} d e h}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{3}} + \frac{{\left({\left(m^{2} + 3 \, m + 2\right)} b^{3} x^{3} + {\left(m^{2} + m\right)} a b^{2} x^{2} - 2 \, a^{2} b m x + 2 \, a^{3}\right)} {\left(b x + a\right)}^{m} c f h}{{\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{3}} + \frac{{\left({\left(m^{3} + 6 \, m^{2} + 11 \, m + 6\right)} b^{4} x^{4} + {\left(m^{3} + 3 \, m^{2} + 2 \, m\right)} a b^{3} x^{3} - 3 \, {\left(m^{2} + m\right)} a^{2} b^{2} x^{2} + 6 \, a^{3} b m x - 6 \, a^{4}\right)} {\left(b x + a\right)}^{m} d f h}{{\left(m^{4} + 10 \, m^{3} + 35 \, m^{2} + 50 \, m + 24\right)} b^{4}}"," ",0,"(b^2*(m + 1)*x^2 + a*b*m*x - a^2)*(b*x + a)^m*d*e*g/((m^2 + 3*m + 2)*b^2) + (b^2*(m + 1)*x^2 + a*b*m*x - a^2)*(b*x + a)^m*c*f*g/((m^2 + 3*m + 2)*b^2) + (b^2*(m + 1)*x^2 + a*b*m*x - a^2)*(b*x + a)^m*c*e*h/((m^2 + 3*m + 2)*b^2) + (b*x + a)^(m + 1)*c*e*g/(b*(m + 1)) + ((m^2 + 3*m + 2)*b^3*x^3 + (m^2 + m)*a*b^2*x^2 - 2*a^2*b*m*x + 2*a^3)*(b*x + a)^m*d*f*g/((m^3 + 6*m^2 + 11*m + 6)*b^3) + ((m^2 + 3*m + 2)*b^3*x^3 + (m^2 + m)*a*b^2*x^2 - 2*a^2*b*m*x + 2*a^3)*(b*x + a)^m*d*e*h/((m^3 + 6*m^2 + 11*m + 6)*b^3) + ((m^2 + 3*m + 2)*b^3*x^3 + (m^2 + m)*a*b^2*x^2 - 2*a^2*b*m*x + 2*a^3)*(b*x + a)^m*c*f*h/((m^3 + 6*m^2 + 11*m + 6)*b^3) + ((m^3 + 6*m^2 + 11*m + 6)*b^4*x^4 + (m^3 + 3*m^2 + 2*m)*a*b^3*x^3 - 3*(m^2 + m)*a^2*b^2*x^2 + 6*a^3*b*m*x - 6*a^4)*(b*x + a)^m*d*f*h/((m^4 + 10*m^3 + 35*m^2 + 50*m + 24)*b^4)","B",0
120,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)*(f*x+e)/(h*x+g),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)} {\left(f x + e\right)} {\left(b x + a\right)}^{m}}{h x + g}\,{d x}"," ",0,"integrate((d*x + c)*(f*x + e)*(b*x + a)^m/(h*x + g), x)","F",0
121,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)/(f*x+e)/(h*x+g),x, algorithm=""maxima"")","\int \frac{{\left(d x + c\right)} {\left(b x + a\right)}^{m}}{{\left(f x + e\right)} {\left(h x + g\right)}}\,{d x}"," ",0,"integrate((d*x + c)*(b*x + a)^m/((f*x + e)*(h*x + g)), x)","F",0
122,0,0,0,0.000000," ","integrate((b*x+a)^m/(d*x+c)/(f*x+e)/(h*x+g),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{m}}{{\left(d x + c\right)} {\left(f x + e\right)} {\left(h x + g\right)}}\,{d x}"," ",0,"integrate((b*x + a)^m/((d*x + c)*(f*x + e)*(h*x + g)), x)","F",0
123,0,0,0,0.000000," ","integrate(x^m*(f*x+e)^n/(b*x+a)/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)}^{n} x^{m}}{{\left(b x + a\right)} {\left(d x + c\right)}}\,{d x}"," ",0,"integrate((f*x + e)^n*x^m/((b*x + a)*(d*x + c)), x)","F",0
124,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)*(h*x+g),x, algorithm=""maxima"")","\int {\left(f x + e\right)} {\left(h x + g\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n}\,{d x}"," ",0,"integrate((f*x + e)*(h*x + g)*(b*x + a)^m*(d*x + c)^n, x)","F",0
125,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(1-m)*(f*x+e)*(h*x+g),x, algorithm=""maxima"")","\int {\left(f x + e\right)} {\left(h x + g\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m + 1}\,{d x}"," ",0,"integrate((f*x + e)*(h*x + g)*(b*x + a)^m*(d*x + c)^(-m + 1), x)","F",0
126,0,0,0,0.000000," ","integrate((b*x+a)^m*(f*x+e)*(h*x+g)/((d*x+c)^m),x, algorithm=""maxima"")","\int \frac{{\left(f x + e\right)} {\left(h x + g\right)} {\left(b x + a\right)}^{m}}{{\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((f*x + e)*(h*x + g)*(b*x + a)^m/(d*x + c)^m, x)","F",0
127,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-1-m)*(f*x+e)*(h*x+g),x, algorithm=""maxima"")","\int {\left(f x + e\right)} {\left(h x + g\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 1}\,{d x}"," ",0,"integrate((f*x + e)*(h*x + g)*(b*x + a)^m*(d*x + c)^(-m - 1), x)","F",0
128,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-2-m)*(f*x+e)*(h*x+g),x, algorithm=""maxima"")","\int {\left(f x + e\right)} {\left(h x + g\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 2}\,{d x}"," ",0,"integrate((f*x + e)*(h*x + g)*(b*x + a)^m*(d*x + c)^(-m - 2), x)","F",0
129,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-3-m)*(f*x+e)*(h*x+g),x, algorithm=""maxima"")","\int {\left(f x + e\right)} {\left(h x + g\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 3}\,{d x}"," ",0,"integrate((f*x + e)*(h*x + g)*(b*x + a)^m*(d*x + c)^(-m - 3), x)","F",0
130,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-4-m)*(f*x+e)*(h*x+g),x, algorithm=""maxima"")","\int {\left(f x + e\right)} {\left(h x + g\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 4}\,{d x}"," ",0,"integrate((f*x + e)*(h*x + g)*(b*x + a)^m*(d*x + c)^(-m - 4), x)","F",0
131,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^(-5-m)*(f*x+e)*(h*x+g),x, algorithm=""maxima"")","\int {\left(f x + e\right)} {\left(h x + g\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{-m - 5}\,{d x}"," ",0,"integrate((f*x + e)*(h*x + g)*(b*x + a)^m*(d*x + c)^(-m - 5), x)","F",0
132,0,0,0,0.000000," ","integrate((b*x+a)^3*(d*x+c)^(-4-m)*(f*x+e)^m*(h*x+g),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{3} {\left(h x + g\right)} {\left(d x + c\right)}^{-m - 4} {\left(f x + e\right)}^{m}\,{d x}"," ",0,"integrate((b*x + a)^3*(h*x + g)*(d*x + c)^(-m - 4)*(f*x + e)^m, x)","F",0
133,0,0,0,0.000000," ","integrate((b*x+a)^2*(d*x+c)^(-4-m)*(f*x+e)^m*(h*x+g),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{2} {\left(h x + g\right)} {\left(d x + c\right)}^{-m - 4} {\left(f x + e\right)}^{m}\,{d x}"," ",0,"integrate((b*x + a)^2*(h*x + g)*(d*x + c)^(-m - 4)*(f*x + e)^m, x)","F",0
134,0,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)^(-4-m)*(f*x+e)^m*(h*x+g),x, algorithm=""maxima"")","\int {\left(b x + a\right)} {\left(h x + g\right)} {\left(d x + c\right)}^{-m - 4} {\left(f x + e\right)}^{m}\,{d x}"," ",0,"integrate((b*x + a)*(h*x + g)*(d*x + c)^(-m - 4)*(f*x + e)^m, x)","F",0
135,0,0,0,0.000000," ","integrate((d*x+c)^(-4-m)*(f*x+e)^m*(h*x+g),x, algorithm=""maxima"")","\int {\left(h x + g\right)} {\left(d x + c\right)}^{-m - 4} {\left(f x + e\right)}^{m}\,{d x}"," ",0,"integrate((h*x + g)*(d*x + c)^(-m - 4)*(f*x + e)^m, x)","F",0
136,0,0,0,0.000000," ","integrate((B*x+A)*(d*x+c)^n*(f*x+e)^p/(b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}}{b x + a}\,{d x}"," ",0,"integrate((B*x + A)*(d*x + c)^n*(f*x + e)^p/(b*x + a), x)","F",0
137,0,0,0,0.000000," ","integrate((b*x+a)^m*(B*x+A)/((d*x+c)^m)/(f*x+e),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(b x + a\right)}^{m}}{{\left(f x + e\right)} {\left(d x + c\right)}^{m}}\,{d x}"," ",0,"integrate((B*x + A)*(b*x + a)^m/((f*x + e)*(d*x + c)^m), x)","F",0
138,0,0,0,0.000000," ","integrate((B*x+A)*(d*x+c)^n*(f*x+e)^p/(b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x + A\right)} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}}{\sqrt{b x + a}}\,{d x}"," ",0,"integrate((B*x + A)*(d*x + c)^n*(f*x + e)^p/sqrt(b*x + a), x)","F",0
139,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g)^3,x, algorithm=""maxima"")","\int {\left(h x + g\right)}^{3} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((h*x + g)^3*(b*x + a)^m*(d*x + c)^n*(f*x + e)^p, x)","F",0
140,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g)^2,x, algorithm=""maxima"")","\int {\left(h x + g\right)}^{2} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((h*x + g)^2*(b*x + a)^m*(d*x + c)^n*(f*x + e)^p, x)","F",0
141,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g),x, algorithm=""maxima"")","\int {\left(h x + g\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((h*x + g)*(b*x + a)^m*(d*x + c)^n*(f*x + e)^p, x)","F",0
142,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^p,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n*(f*x + e)^p, x)","F",0
143,0,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^p/(h*x+g),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{p}}{h x + g}\,{d x}"," ",0,"integrate((b*x + a)^m*(d*x + c)^n*(f*x + e)^p/(h*x + g), x)","F",0
144,0,0,0,0.000000," ","integrate((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n),x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{-m - n}\,{d x}"," ",0,"integrate((B*x + A)*(b*x + a)^m*(d*x + c)^n*(f*x + e)^(-m - n), x)","F",0
145,0,0,0,0.000000," ","integrate((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-1-m-n),x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{-m - n - 1}\,{d x}"," ",0,"integrate((B*x + A)*(b*x + a)^m*(d*x + c)^n*(f*x + e)^(-m - n - 1), x)","F",0
146,0,0,0,0.000000," ","integrate((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-2-m-n),x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{-m - n - 2}\,{d x}"," ",0,"integrate((B*x + A)*(b*x + a)^m*(d*x + c)^n*(f*x + e)^(-m - n - 2), x)","F",0
147,0,0,0,0.000000," ","integrate((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-3-m-n),x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{-m - n - 3}\,{d x}"," ",0,"integrate((B*x + A)*(b*x + a)^m*(d*x + c)^n*(f*x + e)^(-m - n - 3), x)","F",0
148,0,0,0,0.000000," ","integrate((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-4-m-n),x, algorithm=""maxima"")","\int {\left(B x + A\right)} {\left(b x + a\right)}^{m} {\left(d x + c\right)}^{n} {\left(f x + e\right)}^{-m - n - 4}\,{d x}"," ",0,"integrate((B*x + A)*(b*x + a)^m*(d*x + c)^n*(f*x + e)^(-m - n - 4), x)","F",0
149,1,87,0,0.966501," ","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
150,1,57,0,0.969720," ","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
151,1,57,0,0.968962," ","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
152,1,57,0,0.971157," ","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
153,1,98,0,0.966533," ","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
154,1,100,0,0.434015," ","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
155,1,90,0,0.425875," ","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
156,1,56,0,0.962120," ","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
157,1,56,0,0.965024," ","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
158,1,61,0,0.972358," ","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
159,1,86,0,0.983294," ","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
