1,1,150,0,1.121058," ","integrate((b*x+a)*(d*x+c)*(f*x+e)*(h*x+g),x, algorithm=""giac"")","\frac{1}{5} \, b d f h x^{5} + \frac{1}{4} \, b d f g x^{4} + \frac{1}{4} \, b c f h x^{4} + \frac{1}{4} \, a d f h x^{4} + \frac{1}{4} \, b d h x^{4} e + \frac{1}{3} \, b c f g x^{3} + \frac{1}{3} \, a d f g x^{3} + \frac{1}{3} \, a c f h x^{3} + \frac{1}{3} \, b d g x^{3} e + \frac{1}{3} \, b c h x^{3} e + \frac{1}{3} \, a d h x^{3} e + \frac{1}{2} \, a c f g x^{2} + \frac{1}{2} \, b c g x^{2} e + \frac{1}{2} \, a d g x^{2} e + \frac{1}{2} \, a c h x^{2} e + a c g x e"," ",0,"1/5*b*d*f*h*x^5 + 1/4*b*d*f*g*x^4 + 1/4*b*c*f*h*x^4 + 1/4*a*d*f*h*x^4 + 1/4*b*d*h*x^4*e + 1/3*b*c*f*g*x^3 + 1/3*a*d*f*g*x^3 + 1/3*a*c*f*h*x^3 + 1/3*b*d*g*x^3*e + 1/3*b*c*h*x^3*e + 1/3*a*d*h*x^3*e + 1/2*a*c*f*g*x^2 + 1/2*b*c*g*x^2*e + 1/2*a*d*g*x^2*e + 1/2*a*c*h*x^2*e + a*c*g*x*e","A",0
2,1,208,0,1.189414," ","integrate((b*x+a)*(d*x+c)*(f*x+e)/(h*x+g),x, algorithm=""giac"")","\frac{2 \, b d f h^{2} x^{3} - 3 \, b d f g h x^{2} + 3 \, b c f h^{2} x^{2} + 3 \, a d f h^{2} x^{2} + 3 \, b d h^{2} x^{2} e + 6 \, b d f g^{2} x - 6 \, b c f g h x - 6 \, a d f g h x + 6 \, a c f h^{2} x - 6 \, b d g h x e + 6 \, b c h^{2} x e + 6 \, a d h^{2} x e}{6 \, h^{3}} - \frac{{\left(b d f g^{3} - b c f g^{2} h - a d f g^{2} h + a c f g h^{2} - b d g^{2} h e + b c g h^{2} e + a d g h^{2} e - a c h^{3} e\right)} \log\left({\left| h x + g \right|}\right)}{h^{4}}"," ",0,"1/6*(2*b*d*f*h^2*x^3 - 3*b*d*f*g*h*x^2 + 3*b*c*f*h^2*x^2 + 3*a*d*f*h^2*x^2 + 3*b*d*h^2*x^2*e + 6*b*d*f*g^2*x - 6*b*c*f*g*h*x - 6*a*d*f*g*h*x + 6*a*c*f*h^2*x - 6*b*d*g*h*x*e + 6*b*c*h^2*x*e + 6*a*d*h^2*x*e)/h^3 - (b*d*f*g^3 - b*c*f*g^2*h - a*d*f*g^2*h + a*c*f*g*h^2 - b*d*g^2*h*e + b*c*g*h^2*e + a*d*g*h^2*e - a*c*h^3*e)*log(abs(h*x + g))/h^4","A",0
3,1,112,0,1.251155," ","integrate((b*x+a)*(d*x+c)/(f*x+e)/(h*x+g),x, algorithm=""giac"")","\frac{b d x}{f h} + \frac{{\left(a c f^{2} - b c f e - a d f e + b d e^{2}\right)} \log\left({\left| f x + e \right|}\right)}{f^{3} g - f^{2} h e} - \frac{{\left(b d g^{2} - b c g h - a d g h + a c h^{2}\right)} \log\left({\left| h x + g \right|}\right)}{f g h^{2} - h^{3} e}"," ",0,"b*d*x/(f*h) + (a*c*f^2 - b*c*f*e - a*d*f*e + b*d*e^2)*log(abs(f*x + e))/(f^3*g - f^2*h*e) - (b*d*g^2 - b*c*g*h - a*d*g*h + a*c*h^2)*log(abs(h*x + g))/(f*g*h^2 - h^3*e)","A",0
4,1,162,0,1.136780," ","integrate((b*x+a)/(d*x+c)/(f*x+e)/(h*x+g),x, algorithm=""giac"")","\frac{{\left(b c d - a d^{2}\right)} \log\left({\left| d x + c \right|}\right)}{c d^{2} f g - c^{2} d f h - d^{3} g e + c d^{2} h e} + \frac{{\left(a f^{2} - b f e\right)} \log\left({\left| f x + e \right|}\right)}{c f^{3} g - d f^{2} g e - c f^{2} h e + d f h e^{2}} - \frac{{\left(b g h - a h^{2}\right)} \log\left({\left| h x + g \right|}\right)}{d f g^{2} h - c f g h^{2} - d g h^{2} e + c h^{3} e}"," ",0,"(b*c*d - a*d^2)*log(abs(d*x + c))/(c*d^2*f*g - c^2*d*f*h - d^3*g*e + c*d^2*h*e) + (a*f^2 - b*f*e)*log(abs(f*x + e))/(c*f^3*g - d*f^2*g*e - c*f^2*h*e + d*f*h*e^2) - (b*g*h - a*h^2)*log(abs(h*x + g))/(d*f*g^2*h - c*f*g*h^2 - d*g*h^2*e + c*h^3*e)","A",0
5,1,363,0,1.189139," ","integrate(1/(b*x+a)/(d*x+c)/(f*x+e)/(h*x+g),x, algorithm=""giac"")","-\frac{b^{3} \log\left({\left| b x + a \right|}\right)}{a b^{3} c f g - a^{2} b^{2} d f g - a^{2} b^{2} c f h + a^{3} b d f h - b^{4} c g e + a b^{3} d g e + a b^{3} c h e - a^{2} b^{2} d h e} + \frac{d^{3} \log\left({\left| d x + c \right|}\right)}{b c^{2} d^{2} f g - a c d^{3} f g - b c^{3} d f h + a c^{2} d^{2} f h - b c d^{3} g e + a d^{4} g e + b c^{2} d^{2} h e - a c d^{3} h e} + \frac{f^{3} \log\left({\left| f x + e \right|}\right)}{a c f^{4} g - b c f^{3} g e - a d f^{3} g e - a c f^{3} h e + b d f^{2} g e^{2} + b c f^{2} h e^{2} + a d f^{2} h e^{2} - b d f h e^{3}} - \frac{h^{3} \log\left({\left| h x + g \right|}\right)}{b d f g^{3} h - b c f g^{2} h^{2} - a d f g^{2} h^{2} + a c f g h^{3} - b d g^{2} h^{2} e + b c g h^{3} e + a d g h^{3} e - a c h^{4} e}"," ",0,"-b^3*log(abs(b*x + a))/(a*b^3*c*f*g - a^2*b^2*d*f*g - a^2*b^2*c*f*h + a^3*b*d*f*h - b^4*c*g*e + a*b^3*d*g*e + a*b^3*c*h*e - a^2*b^2*d*h*e) + d^3*log(abs(d*x + c))/(b*c^2*d^2*f*g - a*c*d^3*f*g - b*c^3*d*f*h + a*c^2*d^2*f*h - b*c*d^3*g*e + a*d^4*g*e + b*c^2*d^2*h*e - a*c*d^3*h*e) + f^3*log(abs(f*x + e))/(a*c*f^4*g - b*c*f^3*g*e - a*d*f^3*g*e - a*c*f^3*h*e + b*d*f^2*g*e^2 + b*c*f^2*h*e^2 + a*d*f^2*h*e^2 - b*d*f*h*e^3) - h^3*log(abs(h*x + g))/(b*d*f*g^3*h - b*c*f*g^2*h^2 - a*d*f*g^2*h^2 + a*c*f*g*h^3 - b*d*g^2*h^2*e + b*c*g*h^3*e + a*d*g*h^3*e - a*c*h^4*e)","B",0
6,1,22,0,1.250693," ","integrate(x/(1+x)/(2+x)/(3+x),x, algorithm=""giac"")","-\frac{3}{2} \, \log\left({\left| x + 3 \right|}\right) + 2 \, \log\left({\left| x + 2 \right|}\right) - \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right)"," ",0,"-3/2*log(abs(x + 3)) + 2*log(abs(x + 2)) - 1/2*log(abs(x + 1))","A",0
7,1,31,0,1.176260," ","integrate((x^3-x^2)/(-6+x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{3 \, {\left(335 \, x + 157\right)}}{15125 \, {\left(5 \, x + 3\right)}^{2}} + \frac{1493}{499125} \, \log\left({\left| 5 \, x + 3 \right|}\right) + \frac{20}{3993} \, \log\left({\left| x - 6 \right|}\right)"," ",0,"3/15125*(335*x + 157)/(5*x + 3)^2 + 1493/499125*log(abs(5*x + 3)) + 20/3993*log(abs(x - 6))","A",0
8,1,338,0,1.405155," ","integrate((b*x+a)^3*(f*x+e)*(d*x+c)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, a^{3} c \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right) e}{\sqrt{-c}} + \frac{2 \, {\left(35 \, {\left(d x + c\right)}^{\frac{9}{2}} b^{3} d^{32} f - 135 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{3} c d^{32} f + 189 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{3} c^{2} d^{32} f - 105 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} c^{3} d^{32} f + 135 \, {\left(d x + c\right)}^{\frac{7}{2}} a b^{2} d^{33} f - 378 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{2} c d^{33} f + 315 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{2} c^{2} d^{33} f + 189 \, {\left(d x + c\right)}^{\frac{5}{2}} a^{2} b d^{34} f - 315 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b c d^{34} f + 105 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{3} d^{35} f + 45 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{3} d^{33} e - 126 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{3} c d^{33} e + 105 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} c^{2} d^{33} e + 189 \, {\left(d x + c\right)}^{\frac{5}{2}} a b^{2} d^{34} e - 315 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{2} c d^{34} e + 315 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} b d^{35} e + 315 \, \sqrt{d x + c} a^{3} d^{36} e\right)}}{315 \, d^{36}}"," ",0,"2*a^3*c*arctan(sqrt(d*x + c)/sqrt(-c))*e/sqrt(-c) + 2/315*(35*(d*x + c)^(9/2)*b^3*d^32*f - 135*(d*x + c)^(7/2)*b^3*c*d^32*f + 189*(d*x + c)^(5/2)*b^3*c^2*d^32*f - 105*(d*x + c)^(3/2)*b^3*c^3*d^32*f + 135*(d*x + c)^(7/2)*a*b^2*d^33*f - 378*(d*x + c)^(5/2)*a*b^2*c*d^33*f + 315*(d*x + c)^(3/2)*a*b^2*c^2*d^33*f + 189*(d*x + c)^(5/2)*a^2*b*d^34*f - 315*(d*x + c)^(3/2)*a^2*b*c*d^34*f + 105*(d*x + c)^(3/2)*a^3*d^35*f + 45*(d*x + c)^(7/2)*b^3*d^33*e - 126*(d*x + c)^(5/2)*b^3*c*d^33*e + 105*(d*x + c)^(3/2)*b^3*c^2*d^33*e + 189*(d*x + c)^(5/2)*a*b^2*d^34*e - 315*(d*x + c)^(3/2)*a*b^2*c*d^34*e + 315*(d*x + c)^(3/2)*a^2*b*d^35*e + 315*sqrt(d*x + c)*a^3*d^36*e)/d^36","A",0
9,1,201,0,1.362138," ","integrate((b*x+a)^2*(f*x+e)*(d*x+c)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, a^{2} c \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right) e}{\sqrt{-c}} + \frac{2 \, {\left(15 \, {\left(d x + c\right)}^{\frac{7}{2}} b^{2} d^{18} f - 42 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} c d^{18} f + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c^{2} d^{18} f + 42 \, {\left(d x + c\right)}^{\frac{5}{2}} a b d^{19} f - 70 \, {\left(d x + c\right)}^{\frac{3}{2}} a b c d^{19} f + 35 \, {\left(d x + c\right)}^{\frac{3}{2}} a^{2} d^{20} f + 21 \, {\left(d x + c\right)}^{\frac{5}{2}} b^{2} d^{19} e - 35 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{2} c d^{19} e + 70 \, {\left(d x + c\right)}^{\frac{3}{2}} a b d^{20} e + 105 \, \sqrt{d x + c} a^{2} d^{21} e\right)}}{105 \, d^{21}}"," ",0,"2*a^2*c*arctan(sqrt(d*x + c)/sqrt(-c))*e/sqrt(-c) + 2/105*(15*(d*x + c)^(7/2)*b^2*d^18*f - 42*(d*x + c)^(5/2)*b^2*c*d^18*f + 35*(d*x + c)^(3/2)*b^2*c^2*d^18*f + 42*(d*x + c)^(5/2)*a*b*d^19*f - 70*(d*x + c)^(3/2)*a*b*c*d^19*f + 35*(d*x + c)^(3/2)*a^2*d^20*f + 21*(d*x + c)^(5/2)*b^2*d^19*e - 35*(d*x + c)^(3/2)*b^2*c*d^19*e + 70*(d*x + c)^(3/2)*a*b*d^20*e + 105*sqrt(d*x + c)*a^2*d^21*e)/d^21","A",0
10,1,105,0,1.328103," ","integrate((b*x+a)*(f*x+e)*(d*x+c)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, a c \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right) e}{\sqrt{-c}} + \frac{2 \, {\left(3 \, {\left(d x + c\right)}^{\frac{5}{2}} b d^{8} f - 5 \, {\left(d x + c\right)}^{\frac{3}{2}} b c d^{8} f + 5 \, {\left(d x + c\right)}^{\frac{3}{2}} a d^{9} f + 5 \, {\left(d x + c\right)}^{\frac{3}{2}} b d^{9} e + 15 \, \sqrt{d x + c} a d^{10} e\right)}}{15 \, d^{10}}"," ",0,"2*a*c*arctan(sqrt(d*x + c)/sqrt(-c))*e/sqrt(-c) + 2/15*(3*(d*x + c)^(5/2)*b*d^8*f - 5*(d*x + c)^(3/2)*b*c*d^8*f + 5*(d*x + c)^(3/2)*a*d^9*f + 5*(d*x + c)^(3/2)*b*d^9*e + 15*sqrt(d*x + c)*a*d^10*e)/d^10","A",0
11,1,57,0,1.243547," ","integrate((f*x+e)*(d*x+c)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, c \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right) e}{\sqrt{-c}} + \frac{2 \, {\left({\left(d x + c\right)}^{\frac{3}{2}} d^{2} f + 3 \, \sqrt{d x + c} d^{3} e\right)}}{3 \, d^{3}}"," ",0,"2*c*arctan(sqrt(d*x + c)/sqrt(-c))*e/sqrt(-c) + 2/3*((d*x + c)^(3/2)*d^2*f + 3*sqrt(d*x + c)*d^3*e)/d^3","A",0
12,1,112,0,1.352195," ","integrate((f*x+e)*(d*x+c)^(1/2)/x/(b*x+a),x, algorithm=""giac"")","\frac{2 \, c \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right) e}{a \sqrt{-c}} + \frac{2 \, \sqrt{d x + c} f}{b} + \frac{2 \, {\left(a b c f - a^{2} d f - b^{2} c e + a b d e\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} a b}"," ",0,"2*c*arctan(sqrt(d*x + c)/sqrt(-c))*e/(a*sqrt(-c)) + 2*sqrt(d*x + c)*f/b + 2*(a*b*c*f - a^2*d*f - b^2*c*e + a*b*d*e)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a*b)","A",0
13,1,142,0,1.422718," ","integrate((f*x+e)*(d*x+c)^(1/2)/x/(b*x+a)^2,x, algorithm=""giac"")","\frac{2 \, c \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right) e}{a^{2} \sqrt{-c}} + \frac{{\left(a^{2} d f - 2 \, b^{2} c e + a b d e\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{\sqrt{-b^{2} c + a b d} a^{2} b} - \frac{\sqrt{d x + c} a d f - \sqrt{d x + c} b d e}{{\left({\left(d x + c\right)} b - b c + a d\right)} a b}"," ",0,"2*c*arctan(sqrt(d*x + c)/sqrt(-c))*e/(a^2*sqrt(-c)) + (a^2*d*f - 2*b^2*c*e + a*b*d*e)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/(sqrt(-b^2*c + a*b*d)*a^2*b) - (sqrt(d*x + c)*a*d*f - sqrt(d*x + c)*b*d*e)/(((d*x + c)*b - b*c + a*d)*a*b)","A",0
14,1,300,0,1.393929," ","integrate((f*x+e)*(d*x+c)^(1/2)/x/(b*x+a)^3,x, algorithm=""giac"")","-\frac{{\left(a^{3} d^{2} f + 8 \, b^{3} c^{2} e - 12 \, a b^{2} c d e + 3 \, a^{2} b d^{2} e\right)} \arctan\left(\frac{\sqrt{d x + c} b}{\sqrt{-b^{2} c + a b d}}\right)}{4 \, {\left(a^{3} b^{2} c - a^{4} b d\right)} \sqrt{-b^{2} c + a b d}} + \frac{2 \, c \arctan\left(\frac{\sqrt{d x + c}}{\sqrt{-c}}\right) e}{a^{3} \sqrt{-c}} - \frac{{\left(d x + c\right)}^{\frac{3}{2}} a^{2} b d^{2} f + \sqrt{d x + c} a^{2} b c d^{2} f - \sqrt{d x + c} a^{3} d^{3} f - 4 \, {\left(d x + c\right)}^{\frac{3}{2}} b^{3} c d e + 4 \, \sqrt{d x + c} b^{3} c^{2} d e + 3 \, {\left(d x + c\right)}^{\frac{3}{2}} a b^{2} d^{2} e - 9 \, \sqrt{d x + c} a b^{2} c d^{2} e + 5 \, \sqrt{d x + c} a^{2} b d^{3} e}{4 \, {\left(a^{2} b^{2} c - a^{3} b d\right)} {\left({\left(d x + c\right)} b - b c + a d\right)}^{2}}"," ",0,"-1/4*(a^3*d^2*f + 8*b^3*c^2*e - 12*a*b^2*c*d*e + 3*a^2*b*d^2*e)*arctan(sqrt(d*x + c)*b/sqrt(-b^2*c + a*b*d))/((a^3*b^2*c - a^4*b*d)*sqrt(-b^2*c + a*b*d)) + 2*c*arctan(sqrt(d*x + c)/sqrt(-c))*e/(a^3*sqrt(-c)) - 1/4*((d*x + c)^(3/2)*a^2*b*d^2*f + sqrt(d*x + c)*a^2*b*c*d^2*f - sqrt(d*x + c)*a^3*d^3*f - 4*(d*x + c)^(3/2)*b^3*c*d*e + 4*sqrt(d*x + c)*b^3*c^2*d*e + 3*(d*x + c)^(3/2)*a*b^2*d^2*e - 9*sqrt(d*x + c)*a*b^2*c*d^2*e + 5*sqrt(d*x + c)*a^2*b*d^3*e)/((a^2*b^2*c - a^3*b*d)*((d*x + c)*b - b*c + a*d)^2)","A",0
15,1,338,0,1.394011," ","integrate((d*x+c)^3*(f*x+e)*(b*x+a)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, a c^{3} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) e}{\sqrt{-a}} + \frac{2 \, {\left(105 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{35} c^{3} f + 189 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{34} c^{2} d f - 315 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{34} c^{2} d f + 135 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{33} c d^{2} f - 378 \, {\left(b x + a\right)}^{\frac{5}{2}} a b^{33} c d^{2} f + 315 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b^{33} c d^{2} f + 35 \, {\left(b x + a\right)}^{\frac{9}{2}} b^{32} d^{3} f - 135 \, {\left(b x + a\right)}^{\frac{7}{2}} a b^{32} d^{3} f + 189 \, {\left(b x + a\right)}^{\frac{5}{2}} a^{2} b^{32} d^{3} f - 105 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{3} b^{32} d^{3} f + 315 \, \sqrt{b x + a} b^{36} c^{3} e + 315 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{35} c^{2} d e + 189 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{34} c d^{2} e - 315 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{34} c d^{2} e + 45 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{33} d^{3} e - 126 \, {\left(b x + a\right)}^{\frac{5}{2}} a b^{33} d^{3} e + 105 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b^{33} d^{3} e\right)}}{315 \, b^{36}}"," ",0,"2*a*c^3*arctan(sqrt(b*x + a)/sqrt(-a))*e/sqrt(-a) + 2/315*(105*(b*x + a)^(3/2)*b^35*c^3*f + 189*(b*x + a)^(5/2)*b^34*c^2*d*f - 315*(b*x + a)^(3/2)*a*b^34*c^2*d*f + 135*(b*x + a)^(7/2)*b^33*c*d^2*f - 378*(b*x + a)^(5/2)*a*b^33*c*d^2*f + 315*(b*x + a)^(3/2)*a^2*b^33*c*d^2*f + 35*(b*x + a)^(9/2)*b^32*d^3*f - 135*(b*x + a)^(7/2)*a*b^32*d^3*f + 189*(b*x + a)^(5/2)*a^2*b^32*d^3*f - 105*(b*x + a)^(3/2)*a^3*b^32*d^3*f + 315*sqrt(b*x + a)*b^36*c^3*e + 315*(b*x + a)^(3/2)*b^35*c^2*d*e + 189*(b*x + a)^(5/2)*b^34*c*d^2*e - 315*(b*x + a)^(3/2)*a*b^34*c*d^2*e + 45*(b*x + a)^(7/2)*b^33*d^3*e - 126*(b*x + a)^(5/2)*a*b^33*d^3*e + 105*(b*x + a)^(3/2)*a^2*b^33*d^3*e)/b^36","A",0
16,1,201,0,1.367674," ","integrate((d*x+c)^2*(f*x+e)*(b*x+a)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, a c^{2} \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) e}{\sqrt{-a}} + \frac{2 \, {\left(35 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{20} c^{2} f + 42 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{19} c d f - 70 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{19} c d f + 15 \, {\left(b x + a\right)}^{\frac{7}{2}} b^{18} d^{2} f - 42 \, {\left(b x + a\right)}^{\frac{5}{2}} a b^{18} d^{2} f + 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a^{2} b^{18} d^{2} f + 105 \, \sqrt{b x + a} b^{21} c^{2} e + 70 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{20} c d e + 21 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{19} d^{2} e - 35 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{19} d^{2} e\right)}}{105 \, b^{21}}"," ",0,"2*a*c^2*arctan(sqrt(b*x + a)/sqrt(-a))*e/sqrt(-a) + 2/105*(35*(b*x + a)^(3/2)*b^20*c^2*f + 42*(b*x + a)^(5/2)*b^19*c*d*f - 70*(b*x + a)^(3/2)*a*b^19*c*d*f + 15*(b*x + a)^(7/2)*b^18*d^2*f - 42*(b*x + a)^(5/2)*a*b^18*d^2*f + 35*(b*x + a)^(3/2)*a^2*b^18*d^2*f + 105*sqrt(b*x + a)*b^21*c^2*e + 70*(b*x + a)^(3/2)*b^20*c*d*e + 21*(b*x + a)^(5/2)*b^19*d^2*e - 35*(b*x + a)^(3/2)*a*b^19*d^2*e)/b^21","A",0
17,1,105,0,1.262452," ","integrate((d*x+c)*(f*x+e)*(b*x+a)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, a c \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) e}{\sqrt{-a}} + \frac{2 \, {\left(5 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{9} c f + 3 \, {\left(b x + a\right)}^{\frac{5}{2}} b^{8} d f - 5 \, {\left(b x + a\right)}^{\frac{3}{2}} a b^{8} d f + 15 \, \sqrt{b x + a} b^{10} c e + 5 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{9} d e\right)}}{15 \, b^{10}}"," ",0,"2*a*c*arctan(sqrt(b*x + a)/sqrt(-a))*e/sqrt(-a) + 2/15*(5*(b*x + a)^(3/2)*b^9*c*f + 3*(b*x + a)^(5/2)*b^8*d*f - 5*(b*x + a)^(3/2)*a*b^8*d*f + 15*sqrt(b*x + a)*b^10*c*e + 5*(b*x + a)^(3/2)*b^9*d*e)/b^10","A",0
18,1,57,0,1.200675," ","integrate((f*x+e)*(b*x+a)^(1/2)/x,x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) e}{\sqrt{-a}} + \frac{2 \, {\left({\left(b x + a\right)}^{\frac{3}{2}} b^{2} f + 3 \, \sqrt{b x + a} b^{3} e\right)}}{3 \, b^{3}}"," ",0,"2*a*arctan(sqrt(b*x + a)/sqrt(-a))*e/sqrt(-a) + 2/3*((b*x + a)^(3/2)*b^2*f + 3*sqrt(b*x + a)*b^3*e)/b^3","A",0
19,1,112,0,1.218631," ","integrate((f*x+e)*(b*x+a)^(1/2)/x/(d*x+c),x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) e}{\sqrt{-a} c} + \frac{2 \, \sqrt{b x + a} f}{d} - \frac{2 \, {\left(b c^{2} f - a c d f - b c d e + a d^{2} e\right)} \arctan\left(\frac{\sqrt{b x + a} d}{\sqrt{b c d - a d^{2}}}\right)}{\sqrt{b c d - a d^{2}} c d}"," ",0,"2*a*arctan(sqrt(b*x + a)/sqrt(-a))*e/(sqrt(-a)*c) + 2*sqrt(b*x + a)*f/d - 2*(b*c^2*f - a*c*d*f - b*c*d*e + a*d^2*e)*arctan(sqrt(b*x + a)*d/sqrt(b*c*d - a*d^2))/(sqrt(b*c*d - a*d^2)*c*d)","A",0
20,1,142,0,1.323085," ","integrate((f*x+e)*(b*x+a)^(1/2)/x/(d*x+c)^2,x, algorithm=""giac"")","\frac{2 \, a \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) e}{\sqrt{-a} c^{2}} + \frac{{\left(b c^{2} f + b c d e - 2 \, a d^{2} e\right)} \arctan\left(\frac{\sqrt{b x + a} d}{\sqrt{b c d - a d^{2}}}\right)}{\sqrt{b c d - a d^{2}} c^{2} d} - \frac{\sqrt{b x + a} b c f - \sqrt{b x + a} b d e}{{\left(b c + {\left(b x + a\right)} d - a d\right)} c d}"," ",0,"2*a*arctan(sqrt(b*x + a)/sqrt(-a))*e/(sqrt(-a)*c^2) + (b*c^2*f + b*c*d*e - 2*a*d^2*e)*arctan(sqrt(b*x + a)*d/sqrt(b*c*d - a*d^2))/(sqrt(b*c*d - a*d^2)*c^2*d) - (sqrt(b*x + a)*b*c*f - sqrt(b*x + a)*b*d*e)/((b*c + (b*x + a)*d - a*d)*c*d)","A",0
21,1,301,0,1.401417," ","integrate((f*x+e)*(b*x+a)^(1/2)/x/(d*x+c)^3,x, algorithm=""giac"")","\frac{{\left(b^{2} c^{3} f + 3 \, b^{2} c^{2} d e - 12 \, a b c d^{2} e + 8 \, a^{2} d^{3} e\right)} \arctan\left(\frac{\sqrt{b x + a} d}{\sqrt{b c d - a d^{2}}}\right)}{4 \, {\left(b c^{4} d - a c^{3} d^{2}\right)} \sqrt{b c d - a d^{2}}} + \frac{2 \, a \arctan\left(\frac{\sqrt{b x + a}}{\sqrt{-a}}\right) e}{\sqrt{-a} c^{3}} - \frac{\sqrt{b x + a} b^{3} c^{3} f - {\left(b x + a\right)}^{\frac{3}{2}} b^{2} c^{2} d f - \sqrt{b x + a} a b^{2} c^{2} d f - 5 \, \sqrt{b x + a} b^{3} c^{2} d e - 3 \, {\left(b x + a\right)}^{\frac{3}{2}} b^{2} c d^{2} e + 9 \, \sqrt{b x + a} a b^{2} c d^{2} e + 4 \, {\left(b x + a\right)}^{\frac{3}{2}} a b d^{3} e - 4 \, \sqrt{b x + a} a^{2} b d^{3} e}{4 \, {\left(b c^{3} d - a c^{2} d^{2}\right)} {\left(b c + {\left(b x + a\right)} d - a d\right)}^{2}}"," ",0,"1/4*(b^2*c^3*f + 3*b^2*c^2*d*e - 12*a*b*c*d^2*e + 8*a^2*d^3*e)*arctan(sqrt(b*x + a)*d/sqrt(b*c*d - a*d^2))/((b*c^4*d - a*c^3*d^2)*sqrt(b*c*d - a*d^2)) + 2*a*arctan(sqrt(b*x + a)/sqrt(-a))*e/(sqrt(-a)*c^3) - 1/4*(sqrt(b*x + a)*b^3*c^3*f - (b*x + a)^(3/2)*b^2*c^2*d*f - sqrt(b*x + a)*a*b^2*c^2*d*f - 5*sqrt(b*x + a)*b^3*c^2*d*e - 3*(b*x + a)^(3/2)*b^2*c*d^2*e + 9*sqrt(b*x + a)*a*b^2*c*d^2*e + 4*(b*x + a)^(3/2)*a*b*d^3*e - 4*sqrt(b*x + a)*a^2*b*d^3*e)/((b*c^3*d - a*c^2*d^2)*(b*c + (b*x + a)*d - a*d)^2)","A",0
22,1,63,0,1.245399," ","integrate(x^3*(a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{{\left(2 \, {\left(4 \, a x {\left(\frac{2 \, x}{a^{2}} + \frac{5}{a^{3}}\right)} + \frac{25}{a^{3}}\right)} a x + \frac{75}{a^{3}}\right)} \sqrt{a x} \sqrt{-a x + 1} - \frac{75 \, \arcsin\left(\sqrt{a x}\right)}{a^{3}}}{64 \, a}"," ",0,"-1/64*((2*(4*a*x*(2*x/a^2 + 5/a^3) + 25/a^3)*a*x + 75/a^3)*sqrt(a*x)*sqrt(-a*x + 1) - 75*arcsin(sqrt(a*x))/a^3)/a","A",0
23,1,53,0,1.340795," ","integrate(x^2*(a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{{\left(2 \, a x {\left(\frac{4 \, x}{a} + \frac{11}{a^{2}}\right)} + \frac{33}{a^{2}}\right)} \sqrt{a x} \sqrt{-a x + 1} - \frac{33 \, \arcsin\left(\sqrt{a x}\right)}{a^{2}}}{24 \, a}"," ",0,"-1/24*((2*a*x*(4*x/a + 11/a^2) + 33/a^2)*sqrt(a*x)*sqrt(-a*x + 1) - 33*arcsin(sqrt(a*x))/a^2)/a","A",0
24,1,40,0,1.275479," ","integrate(x*(a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{a x} \sqrt{-a x + 1} {\left(2 \, x + \frac{7}{a}\right)} - \frac{7 \, \arcsin\left(\sqrt{a x}\right)}{a}}{4 \, a}"," ",0,"-1/4*(sqrt(a*x)*sqrt(-a*x + 1)*(2*x + 7/a) - 7*arcsin(sqrt(a*x))/a)/a","A",0
25,1,28,0,1.238798," ","integrate((a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{a x} \sqrt{-a x + 1} - 3 \, \arcsin\left(\sqrt{a x}\right)}{a}"," ",0,"-(sqrt(a*x)*sqrt(-a*x + 1) - 3*arcsin(sqrt(a*x)))/a","A",0
26,1,44,0,1.232602," ","integrate((a*x+1)/x/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{-a x + 1} - 1}{\sqrt{a x}} + \frac{\sqrt{a x}}{\sqrt{-a x + 1} - 1} + 2 \, \arcsin\left(\sqrt{a x}\right)"," ",0,"-(sqrt(-a*x + 1) - 1)/sqrt(a*x) + sqrt(a*x)/(sqrt(-a*x + 1) - 1) + 2*arcsin(sqrt(a*x))","A",0
27,1,88,0,1.271103," ","integrate((a*x+1)/x^2/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{\frac{a^{2} {\left(\sqrt{-a x + 1} - 1\right)}^{3}}{\left(a x\right)^{\frac{3}{2}}} + \frac{21 \, a^{2} {\left(\sqrt{-a x + 1} - 1\right)}}{\sqrt{a x}} - \frac{{\left(a^{2} + \frac{21 \, a {\left(\sqrt{-a x + 1} - 1\right)}^{2}}{x}\right)} \left(a x\right)^{\frac{3}{2}}}{{\left(\sqrt{-a x + 1} - 1\right)}^{3}}}{12 \, a}"," ",0,"-1/12*(a^2*(sqrt(-a*x + 1) - 1)^3/(a*x)^(3/2) + 21*a^2*(sqrt(-a*x + 1) - 1)/sqrt(a*x) - (a^2 + 21*a*(sqrt(-a*x + 1) - 1)^2/x)*(a*x)^(3/2)/(sqrt(-a*x + 1) - 1)^3)/a","B",0
28,1,130,0,1.242094," ","integrate((a*x+1)/x^3/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{\frac{a^{3} {\left(\sqrt{-a x + 1} - 1\right)}^{5}}{\left(a x\right)^{\frac{5}{2}}} + \frac{15 \, a^{3} {\left(\sqrt{-a x + 1} - 1\right)}^{3}}{\left(a x\right)^{\frac{3}{2}}} + \frac{110 \, a^{3} {\left(\sqrt{-a x + 1} - 1\right)}}{\sqrt{a x}} - \frac{{\left(a^{3} + \frac{15 \, a^{2} {\left(\sqrt{-a x + 1} - 1\right)}^{2}}{x} + \frac{110 \, a {\left(\sqrt{-a x + 1} - 1\right)}^{4}}{x^{2}}\right)} \left(a x\right)^{\frac{5}{2}}}{{\left(\sqrt{-a x + 1} - 1\right)}^{5}}}{80 \, a}"," ",0,"-1/80*(a^3*(sqrt(-a*x + 1) - 1)^5/(a*x)^(5/2) + 15*a^3*(sqrt(-a*x + 1) - 1)^3/(a*x)^(3/2) + 110*a^3*(sqrt(-a*x + 1) - 1)/sqrt(a*x) - (a^3 + 15*a^2*(sqrt(-a*x + 1) - 1)^2/x + 110*a*(sqrt(-a*x + 1) - 1)^4/x^2)*(a*x)^(5/2)/(sqrt(-a*x + 1) - 1)^5)/a","B",0
29,1,175,0,1.406168," ","integrate((a*x+1)/x^4/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{\frac{15 \, a^{4} {\left(\sqrt{-a x + 1} - 1\right)}^{7}}{\left(a x\right)^{\frac{7}{2}}} + \frac{231 \, a^{4} {\left(\sqrt{-a x + 1} - 1\right)}^{5}}{\left(a x\right)^{\frac{5}{2}}} + \frac{1435 \, a^{4} {\left(\sqrt{-a x + 1} - 1\right)}^{3}}{\left(a x\right)^{\frac{3}{2}}} + \frac{7875 \, a^{4} {\left(\sqrt{-a x + 1} - 1\right)}}{\sqrt{a x}} - \frac{{\left(15 \, a^{4} + \frac{231 \, a^{3} {\left(\sqrt{-a x + 1} - 1\right)}^{2}}{x} + \frac{1435 \, a^{2} {\left(\sqrt{-a x + 1} - 1\right)}^{4}}{x^{2}} + \frac{7875 \, a {\left(\sqrt{-a x + 1} - 1\right)}^{6}}{x^{3}}\right)} \left(a x\right)^{\frac{7}{2}}}{{\left(\sqrt{-a x + 1} - 1\right)}^{7}}}{6720 \, a}"," ",0,"-1/6720*(15*a^4*(sqrt(-a*x + 1) - 1)^7/(a*x)^(7/2) + 231*a^4*(sqrt(-a*x + 1) - 1)^5/(a*x)^(5/2) + 1435*a^4*(sqrt(-a*x + 1) - 1)^3/(a*x)^(3/2) + 7875*a^4*(sqrt(-a*x + 1) - 1)/sqrt(a*x) - (15*a^4 + 231*a^3*(sqrt(-a*x + 1) - 1)^2/x + 1435*a^2*(sqrt(-a*x + 1) - 1)^4/x^2 + 7875*a*(sqrt(-a*x + 1) - 1)^6/x^3)*(a*x)^(7/2)/(sqrt(-a*x + 1) - 1)^7)/a","B",0
30,1,217,0,1.315063," ","integrate((a*x+1)/x^5/(a*x)^(1/2)/(-a*x+1)^(1/2),x, algorithm=""giac"")","-\frac{\frac{35 \, a^{5} {\left(\sqrt{-a x + 1} - 1\right)}^{9}}{\left(a x\right)^{\frac{9}{2}}} + \frac{585 \, a^{5} {\left(\sqrt{-a x + 1} - 1\right)}^{7}}{\left(a x\right)^{\frac{7}{2}}} + \frac{4032 \, a^{5} {\left(\sqrt{-a x + 1} - 1\right)}^{5}}{\left(a x\right)^{\frac{5}{2}}} + \frac{17640 \, a^{5} {\left(\sqrt{-a x + 1} - 1\right)}^{3}}{\left(a x\right)^{\frac{3}{2}}} + \frac{83790 \, a^{5} {\left(\sqrt{-a x + 1} - 1\right)}}{\sqrt{a x}} - \frac{{\left(35 \, a^{5} + \frac{585 \, a^{4} {\left(\sqrt{-a x + 1} - 1\right)}^{2}}{x} + \frac{4032 \, a^{3} {\left(\sqrt{-a x + 1} - 1\right)}^{4}}{x^{2}} + \frac{17640 \, a^{2} {\left(\sqrt{-a x + 1} - 1\right)}^{6}}{x^{3}} + \frac{83790 \, a {\left(\sqrt{-a x + 1} - 1\right)}^{8}}{x^{4}}\right)} \left(a x\right)^{\frac{9}{2}}}{{\left(\sqrt{-a x + 1} - 1\right)}^{9}}}{80640 \, a}"," ",0,"-1/80640*(35*a^5*(sqrt(-a*x + 1) - 1)^9/(a*x)^(9/2) + 585*a^5*(sqrt(-a*x + 1) - 1)^7/(a*x)^(7/2) + 4032*a^5*(sqrt(-a*x + 1) - 1)^5/(a*x)^(5/2) + 17640*a^5*(sqrt(-a*x + 1) - 1)^3/(a*x)^(3/2) + 83790*a^5*(sqrt(-a*x + 1) - 1)/sqrt(a*x) - (35*a^5 + 585*a^4*(sqrt(-a*x + 1) - 1)^2/x + 4032*a^3*(sqrt(-a*x + 1) - 1)^4/x^2 + 17640*a^2*(sqrt(-a*x + 1) - 1)^6/x^3 + 83790*a*(sqrt(-a*x + 1) - 1)^8/x^4)*(a*x)^(9/2)/(sqrt(-a*x + 1) - 1)^9)/a","B",0
31,1,43,0,1.269378," ","integrate((2*a*x-1)/x^2/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","-4 \, a \arctan\left(\frac{1}{2} \, {\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{2}\right) - \frac{8}{{\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{4} + 4}"," ",0,"-4*a*arctan(1/2*(sqrt(x + 1) - sqrt(x - 1))^2) - 8/((sqrt(x + 1) - sqrt(x - 1))^4 + 4)","A",0
32,1,43,0,1.290828," ","integrate((a^2*x^2-(-a*x+1)^2)/x^2/(-1+x)^(1/2)/(1+x)^(1/2),x, algorithm=""giac"")","-4 \, a \arctan\left(\frac{1}{2} \, {\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{2}\right) - \frac{8}{{\left(\sqrt{x + 1} - \sqrt{x - 1}\right)}^{4} + 4}"," ",0,"-4*a*arctan(1/2*(sqrt(x + 1) - sqrt(x - 1))^2) - 8/((sqrt(x + 1) - sqrt(x - 1))^4 + 4)","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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,-2,0,0,0.000000," ","integrate((d*x+c)^(3/2)/(b*x+a)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""giac"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError >> type","F(-2)",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""giac"")","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError >> type","F(-2)",0
71,-1,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(3/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,-1,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(5/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",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=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)^(1/2)/(-f^2*x+1)^(1/2)/(f^2*x+1)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate((d*x+c)^(1/2)/(b*x+a)^(3/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate((b*x+a)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
119,1,1665,0,1.027906," ","integrate((b*x+a)^m*(d*x+c)*(f*x+e)*(h*x+g),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{m} b^{4} d f h m^{3} x^{4} + {\left(b x + a\right)}^{m} b^{4} d f g m^{3} x^{3} + {\left(b x + a\right)}^{m} b^{4} c f h m^{3} x^{3} + {\left(b x + a\right)}^{m} a b^{3} d f h m^{3} x^{3} + 6 \, {\left(b x + a\right)}^{m} b^{4} d f h m^{2} x^{4} + {\left(b x + a\right)}^{m} b^{4} d h m^{3} x^{3} e + {\left(b x + a\right)}^{m} b^{4} c f g m^{3} x^{2} + {\left(b x + a\right)}^{m} a b^{3} d f g m^{3} x^{2} + {\left(b x + a\right)}^{m} a b^{3} c f h m^{3} x^{2} + 7 \, {\left(b x + a\right)}^{m} b^{4} d f g m^{2} x^{3} + 7 \, {\left(b x + a\right)}^{m} b^{4} c f h m^{2} x^{3} + 3 \, {\left(b x + a\right)}^{m} a b^{3} d f h m^{2} x^{3} + 11 \, {\left(b x + a\right)}^{m} b^{4} d f h m x^{4} + {\left(b x + a\right)}^{m} b^{4} d g m^{3} x^{2} e + {\left(b x + a\right)}^{m} b^{4} c h m^{3} x^{2} e + {\left(b x + a\right)}^{m} a b^{3} d h m^{3} x^{2} e + 7 \, {\left(b x + a\right)}^{m} b^{4} d h m^{2} x^{3} e + {\left(b x + a\right)}^{m} a b^{3} c f g m^{3} x + 8 \, {\left(b x + a\right)}^{m} b^{4} c f g m^{2} x^{2} + 5 \, {\left(b x + a\right)}^{m} a b^{3} d f g m^{2} x^{2} + 5 \, {\left(b x + a\right)}^{m} a b^{3} c f h m^{2} x^{2} - 3 \, {\left(b x + a\right)}^{m} a^{2} b^{2} d f h m^{2} x^{2} + 14 \, {\left(b x + a\right)}^{m} b^{4} d f g m x^{3} + 14 \, {\left(b x + a\right)}^{m} b^{4} c f h m x^{3} + 2 \, {\left(b x + a\right)}^{m} a b^{3} d f h m x^{3} + 6 \, {\left(b x + a\right)}^{m} b^{4} d f h x^{4} + {\left(b x + a\right)}^{m} b^{4} c g m^{3} x e + {\left(b x + a\right)}^{m} a b^{3} d g m^{3} x e + {\left(b x + a\right)}^{m} a b^{3} c h m^{3} x e + 8 \, {\left(b x + a\right)}^{m} b^{4} d g m^{2} x^{2} e + 8 \, {\left(b x + a\right)}^{m} b^{4} c h m^{2} x^{2} e + 5 \, {\left(b x + a\right)}^{m} a b^{3} d h m^{2} x^{2} e + 14 \, {\left(b x + a\right)}^{m} b^{4} d h m x^{3} e + 7 \, {\left(b x + a\right)}^{m} a b^{3} c f g m^{2} x - 2 \, {\left(b x + a\right)}^{m} a^{2} b^{2} d f g m^{2} x - 2 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c f h m^{2} x + 19 \, {\left(b x + a\right)}^{m} b^{4} c f g m x^{2} + 4 \, {\left(b x + a\right)}^{m} a b^{3} d f g m x^{2} + 4 \, {\left(b x + a\right)}^{m} a b^{3} c f h m x^{2} - 3 \, {\left(b x + a\right)}^{m} a^{2} b^{2} d f h m x^{2} + 8 \, {\left(b x + a\right)}^{m} b^{4} d f g x^{3} + 8 \, {\left(b x + a\right)}^{m} b^{4} c f h x^{3} + {\left(b x + a\right)}^{m} a b^{3} c g m^{3} e + 9 \, {\left(b x + a\right)}^{m} b^{4} c g m^{2} x e + 7 \, {\left(b x + a\right)}^{m} a b^{3} d g m^{2} x e + 7 \, {\left(b x + a\right)}^{m} a b^{3} c h m^{2} x e - 2 \, {\left(b x + a\right)}^{m} a^{2} b^{2} d h m^{2} x e + 19 \, {\left(b x + a\right)}^{m} b^{4} d g m x^{2} e + 19 \, {\left(b x + a\right)}^{m} b^{4} c h m x^{2} e + 4 \, {\left(b x + a\right)}^{m} a b^{3} d h m x^{2} e + 8 \, {\left(b x + a\right)}^{m} b^{4} d h x^{3} e - {\left(b x + a\right)}^{m} a^{2} b^{2} c f g m^{2} + 12 \, {\left(b x + a\right)}^{m} a b^{3} c f g m x - 8 \, {\left(b x + a\right)}^{m} a^{2} b^{2} d f g m x - 8 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c f h m x + 6 \, {\left(b x + a\right)}^{m} a^{3} b d f h m x + 12 \, {\left(b x + a\right)}^{m} b^{4} c f g x^{2} + 9 \, {\left(b x + a\right)}^{m} a b^{3} c g m^{2} e - {\left(b x + a\right)}^{m} a^{2} b^{2} d g m^{2} e - {\left(b x + a\right)}^{m} a^{2} b^{2} c h m^{2} e + 26 \, {\left(b x + a\right)}^{m} b^{4} c g m x e + 12 \, {\left(b x + a\right)}^{m} a b^{3} d g m x e + 12 \, {\left(b x + a\right)}^{m} a b^{3} c h m x e - 8 \, {\left(b x + a\right)}^{m} a^{2} b^{2} d h m x e + 12 \, {\left(b x + a\right)}^{m} b^{4} d g x^{2} e + 12 \, {\left(b x + a\right)}^{m} b^{4} c h x^{2} e - 7 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c f g m + 2 \, {\left(b x + a\right)}^{m} a^{3} b d f g m + 2 \, {\left(b x + a\right)}^{m} a^{3} b c f h m + 26 \, {\left(b x + a\right)}^{m} a b^{3} c g m e - 7 \, {\left(b x + a\right)}^{m} a^{2} b^{2} d g m e - 7 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c h m e + 2 \, {\left(b x + a\right)}^{m} a^{3} b d h m e + 24 \, {\left(b x + a\right)}^{m} b^{4} c g x e - 12 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c f g + 8 \, {\left(b x + a\right)}^{m} a^{3} b d f g + 8 \, {\left(b x + a\right)}^{m} a^{3} b c f h - 6 \, {\left(b x + a\right)}^{m} a^{4} d f h + 24 \, {\left(b x + a\right)}^{m} a b^{3} c g e - 12 \, {\left(b x + a\right)}^{m} a^{2} b^{2} d g e - 12 \, {\left(b x + a\right)}^{m} a^{2} b^{2} c h e + 8 \, {\left(b x + a\right)}^{m} a^{3} b d h e}{b^{4} m^{4} + 10 \, b^{4} m^{3} + 35 \, b^{4} m^{2} + 50 \, b^{4} m + 24 \, b^{4}}"," ",0,"((b*x + a)^m*b^4*d*f*h*m^3*x^4 + (b*x + a)^m*b^4*d*f*g*m^3*x^3 + (b*x + a)^m*b^4*c*f*h*m^3*x^3 + (b*x + a)^m*a*b^3*d*f*h*m^3*x^3 + 6*(b*x + a)^m*b^4*d*f*h*m^2*x^4 + (b*x + a)^m*b^4*d*h*m^3*x^3*e + (b*x + a)^m*b^4*c*f*g*m^3*x^2 + (b*x + a)^m*a*b^3*d*f*g*m^3*x^2 + (b*x + a)^m*a*b^3*c*f*h*m^3*x^2 + 7*(b*x + a)^m*b^4*d*f*g*m^2*x^3 + 7*(b*x + a)^m*b^4*c*f*h*m^2*x^3 + 3*(b*x + a)^m*a*b^3*d*f*h*m^2*x^3 + 11*(b*x + a)^m*b^4*d*f*h*m*x^4 + (b*x + a)^m*b^4*d*g*m^3*x^2*e + (b*x + a)^m*b^4*c*h*m^3*x^2*e + (b*x + a)^m*a*b^3*d*h*m^3*x^2*e + 7*(b*x + a)^m*b^4*d*h*m^2*x^3*e + (b*x + a)^m*a*b^3*c*f*g*m^3*x + 8*(b*x + a)^m*b^4*c*f*g*m^2*x^2 + 5*(b*x + a)^m*a*b^3*d*f*g*m^2*x^2 + 5*(b*x + a)^m*a*b^3*c*f*h*m^2*x^2 - 3*(b*x + a)^m*a^2*b^2*d*f*h*m^2*x^2 + 14*(b*x + a)^m*b^4*d*f*g*m*x^3 + 14*(b*x + a)^m*b^4*c*f*h*m*x^3 + 2*(b*x + a)^m*a*b^3*d*f*h*m*x^3 + 6*(b*x + a)^m*b^4*d*f*h*x^4 + (b*x + a)^m*b^4*c*g*m^3*x*e + (b*x + a)^m*a*b^3*d*g*m^3*x*e + (b*x + a)^m*a*b^3*c*h*m^3*x*e + 8*(b*x + a)^m*b^4*d*g*m^2*x^2*e + 8*(b*x + a)^m*b^4*c*h*m^2*x^2*e + 5*(b*x + a)^m*a*b^3*d*h*m^2*x^2*e + 14*(b*x + a)^m*b^4*d*h*m*x^3*e + 7*(b*x + a)^m*a*b^3*c*f*g*m^2*x - 2*(b*x + a)^m*a^2*b^2*d*f*g*m^2*x - 2*(b*x + a)^m*a^2*b^2*c*f*h*m^2*x + 19*(b*x + a)^m*b^4*c*f*g*m*x^2 + 4*(b*x + a)^m*a*b^3*d*f*g*m*x^2 + 4*(b*x + a)^m*a*b^3*c*f*h*m*x^2 - 3*(b*x + a)^m*a^2*b^2*d*f*h*m*x^2 + 8*(b*x + a)^m*b^4*d*f*g*x^3 + 8*(b*x + a)^m*b^4*c*f*h*x^3 + (b*x + a)^m*a*b^3*c*g*m^3*e + 9*(b*x + a)^m*b^4*c*g*m^2*x*e + 7*(b*x + a)^m*a*b^3*d*g*m^2*x*e + 7*(b*x + a)^m*a*b^3*c*h*m^2*x*e - 2*(b*x + a)^m*a^2*b^2*d*h*m^2*x*e + 19*(b*x + a)^m*b^4*d*g*m*x^2*e + 19*(b*x + a)^m*b^4*c*h*m*x^2*e + 4*(b*x + a)^m*a*b^3*d*h*m*x^2*e + 8*(b*x + a)^m*b^4*d*h*x^3*e - (b*x + a)^m*a^2*b^2*c*f*g*m^2 + 12*(b*x + a)^m*a*b^3*c*f*g*m*x - 8*(b*x + a)^m*a^2*b^2*d*f*g*m*x - 8*(b*x + a)^m*a^2*b^2*c*f*h*m*x + 6*(b*x + a)^m*a^3*b*d*f*h*m*x + 12*(b*x + a)^m*b^4*c*f*g*x^2 + 9*(b*x + a)^m*a*b^3*c*g*m^2*e - (b*x + a)^m*a^2*b^2*d*g*m^2*e - (b*x + a)^m*a^2*b^2*c*h*m^2*e + 26*(b*x + a)^m*b^4*c*g*m*x*e + 12*(b*x + a)^m*a*b^3*d*g*m*x*e + 12*(b*x + a)^m*a*b^3*c*h*m*x*e - 8*(b*x + a)^m*a^2*b^2*d*h*m*x*e + 12*(b*x + a)^m*b^4*d*g*x^2*e + 12*(b*x + a)^m*b^4*c*h*x^2*e - 7*(b*x + a)^m*a^2*b^2*c*f*g*m + 2*(b*x + a)^m*a^3*b*d*f*g*m + 2*(b*x + a)^m*a^3*b*c*f*h*m + 26*(b*x + a)^m*a*b^3*c*g*m*e - 7*(b*x + a)^m*a^2*b^2*d*g*m*e - 7*(b*x + a)^m*a^2*b^2*c*h*m*e + 2*(b*x + a)^m*a^3*b*d*h*m*e + 24*(b*x + a)^m*b^4*c*g*x*e - 12*(b*x + a)^m*a^2*b^2*c*f*g + 8*(b*x + a)^m*a^3*b*d*f*g + 8*(b*x + a)^m*a^3*b*c*f*h - 6*(b*x + a)^m*a^4*d*f*h + 24*(b*x + a)^m*a*b^3*c*g*e - 12*(b*x + a)^m*a^2*b^2*d*g*e - 12*(b*x + a)^m*a^2*b^2*c*h*e + 8*(b*x + a)^m*a^3*b*d*h*e)/(b^4*m^4 + 10*b^4*m^3 + 35*b^4*m^2 + 50*b^4*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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-1,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
140,-1,0,0,0.000000," ","integrate((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g)^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
149,1,101,0,1.339477," ","integrate(x*(c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{d x + 1} \sqrt{-d x + 1} {\left({\left(d x + 1\right)} {\left(\frac{2 \, {\left(d x + 1\right)} c}{d^{3}} + \frac{3 \, b d^{10} - 4 \, c d^{9}}{d^{12}}\right)} + \frac{3 \, {\left(2 \, a d^{11} - b d^{10} + 2 \, c d^{9}\right)}}{d^{12}}\right)} - \frac{6 \, b \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{d x + 1}\right)}{d^{2}}}{6 \, d}"," ",0,"-1/6*(sqrt(d*x + 1)*sqrt(-d*x + 1)*((d*x + 1)*(2*(d*x + 1)*c/d^3 + (3*b*d^10 - 4*c*d^9)/d^12) + 3*(2*a*d^11 - b*d^10 + 2*c*d^9)/d^12) - 6*b*arcsin(1/2*sqrt(2)*sqrt(d*x + 1))/d^2)/d","A",0
150,1,76,0,1.314604," ","integrate((c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{d x + 1} \sqrt{-d x + 1} {\left(\frac{{\left(d x + 1\right)} c}{d^{2}} + \frac{2 \, b d^{5} - c d^{4}}{d^{6}}\right)} - \frac{2 \, {\left(2 \, a d^{2} + c\right)} \arcsin\left(\frac{1}{2} \, \sqrt{2} \sqrt{d x + 1}\right)}{d^{2}}}{2 \, d}"," ",0,"-1/2*(sqrt(d*x + 1)*sqrt(-d*x + 1)*((d*x + 1)*c/d^2 + (2*b*d^5 - c*d^4)/d^6) - 2*(2*a*d^2 + c)*arcsin(1/2*sqrt(2)*sqrt(d*x + 1))/d^2)/d","A",0
151,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/x/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [70,22]Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [42,56]-a*ln(abs(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1)))+a*ln(abs(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1)))-2*b*(-1/2*pi-atan(sqrt(d*x+1)*((-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1))^2-1)/(-2*sqrt(-d*x+1)+2*sqrt(2))))/d-2*c*d^2/2/d^4*sqrt(d*x+1)*sqrt(-d*x+1)","F(-2)",0
152,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/x^2/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [70,22]Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [42,56]1/d*(-2*c*(-1/2*pi-atan(sqrt(d*x+1)*((-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1))^2-1)/(-2*sqrt(-d*x+1)+2*sqrt(2))))-b*d*ln(abs(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1)))+b*d*ln(abs(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1)))-4*a*d^2*(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1))/(-(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1))^2+4))","F(-2)",0
153,-2,0,0,0.000000," ","integrate((c*x^2+b*x+a)/x^3/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [70,22]Warning, choosing root of [1,0,-4,0,%%%{4,[2,2]%%%}] at parameters values [42,56]1/d*(-1/2*(a*d^3+2*c*d)*ln(abs(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))+2-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1)))+1/2*(a*d^3+2*c*d)*ln(abs(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))-2-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1)))-(2*a*d^3*(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1))^3-4*b*d^2*(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1))^3+8*a*d^3*(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1))+16*b*d^2*(2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1)))/((2*sqrt(d*x+1)/(-2*sqrt(-d*x+1)+2*sqrt(2))-1/2*(-2*sqrt(-d*x+1)+2*sqrt(2))/sqrt(d*x+1))^2-4)^2)","F(-2)",0
154,1,105,0,1.302696," ","integrate(x*(c*x^2+b*x+a)/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{d x + 1} \sqrt{d x - 1} {\left({\left(d x + 1\right)} {\left(\frac{2 \, {\left(d x + 1\right)} c}{d^{3}} + \frac{3 \, b d^{10} - 4 \, c d^{9}}{d^{12}}\right)} + \frac{3 \, {\left(2 \, a d^{11} - b d^{10} + 2 \, c d^{9}\right)}}{d^{12}}\right)} - \frac{6 \, b \log\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}{d^{2}}}{6 \, d}"," ",0,"1/6*(sqrt(d*x + 1)*sqrt(d*x - 1)*((d*x + 1)*(2*(d*x + 1)*c/d^3 + (3*b*d^10 - 4*c*d^9)/d^12) + 3*(2*a*d^11 - b*d^10 + 2*c*d^9)/d^12) - 6*b*log(sqrt(d*x + 1) - sqrt(d*x - 1))/d^2)/d","A",0
155,1,80,0,1.253446," ","integrate((c*x^2+b*x+a)/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{d x + 1} \sqrt{d x - 1} {\left(\frac{{\left(d x + 1\right)} c}{d^{2}} + \frac{2 \, b d^{5} - c d^{4}}{d^{6}}\right)} - \frac{2 \, {\left(2 \, a d^{2} + c\right)} \log\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}{d^{2}}}{2 \, d}"," ",0,"1/2*(sqrt(d*x + 1)*sqrt(d*x - 1)*((d*x + 1)*c/d^2 + (2*b*d^5 - c*d^4)/d^6) - 2*(2*a*d^2 + c)*log(sqrt(d*x + 1) - sqrt(d*x - 1))/d^2)/d","A",0
156,1,71,0,1.294719," ","integrate((c*x^2+b*x+a)/x/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","-2 \, a \arctan\left(\frac{1}{2} \, {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{2}\right) - \frac{b \log\left({\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{2}\right)}{d} + \frac{\sqrt{d x + 1} \sqrt{d x - 1} c}{d^{2}}"," ",0,"-2*a*arctan(1/2*(sqrt(d*x + 1) - sqrt(d*x - 1))^2) - b*log((sqrt(d*x + 1) - sqrt(d*x - 1))^2)/d + sqrt(d*x + 1)*sqrt(d*x - 1)*c/d^2","A",0
157,1,83,0,1.346850," ","integrate((c*x^2+b*x+a)/x^2/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","-\frac{2 \, b d \arctan\left(\frac{1}{2} \, {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{2}\right) - \frac{8 \, a d^{2}}{{\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{4} + 4} + c \log\left({\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{2}\right)}{d}"," ",0,"-(2*b*d*arctan(1/2*(sqrt(d*x + 1) - sqrt(d*x - 1))^2) - 8*a*d^2/((sqrt(d*x + 1) - sqrt(d*x - 1))^4 + 4) + c*log((sqrt(d*x + 1) - sqrt(d*x - 1))^2))/d","A",0
158,1,145,0,1.350183," ","integrate((c*x^2+b*x+a)/x^3/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","-\frac{{\left(a d^{3} + 2 \, c d\right)} \arctan\left(\frac{1}{2} \, {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{2}\right) + \frac{2 \, {\left(a d^{3} {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{6} - 4 \, b d^{2} {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{4} - 4 \, a d^{3} {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{2} - 16 \, b d^{2}\right)}}{{\left({\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{4} + 4\right)}^{2}}}{d}"," ",0,"-((a*d^3 + 2*c*d)*arctan(1/2*(sqrt(d*x + 1) - sqrt(d*x - 1))^2) + 2*(a*d^3*(sqrt(d*x + 1) - sqrt(d*x - 1))^6 - 4*b*d^2*(sqrt(d*x + 1) - sqrt(d*x - 1))^4 - 4*a*d^3*(sqrt(d*x + 1) - sqrt(d*x - 1))^2 - 16*b*d^2)/((sqrt(d*x + 1) - sqrt(d*x - 1))^4 + 4)^2)/d","B",0
159,1,197,0,1.348021," ","integrate((c*x^2+b*x+a)/x^4/(d*x-1)^(1/2)/(d*x+1)^(1/2),x, algorithm=""giac"")","-\frac{3 \, b d^{3} \arctan\left(\frac{1}{2} \, {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{2}\right) + \frac{2 \, {\left(3 \, b d^{3} {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{10} - 12 \, c d^{2} {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{8} - 96 \, a d^{4} {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{4} - 96 \, c d^{2} {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{4} - 48 \, b d^{3} {\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{2} - 128 \, a d^{4} - 192 \, c d^{2}\right)}}{{\left({\left(\sqrt{d x + 1} - \sqrt{d x - 1}\right)}^{4} + 4\right)}^{3}}}{3 \, d}"," ",0,"-1/3*(3*b*d^3*arctan(1/2*(sqrt(d*x + 1) - sqrt(d*x - 1))^2) + 2*(3*b*d^3*(sqrt(d*x + 1) - sqrt(d*x - 1))^10 - 12*c*d^2*(sqrt(d*x + 1) - sqrt(d*x - 1))^8 - 96*a*d^4*(sqrt(d*x + 1) - sqrt(d*x - 1))^4 - 96*c*d^2*(sqrt(d*x + 1) - sqrt(d*x - 1))^4 - 48*b*d^3*(sqrt(d*x + 1) - sqrt(d*x - 1))^2 - 128*a*d^4 - 192*c*d^2)/((sqrt(d*x + 1) - sqrt(d*x - 1))^4 + 4)^3)/d","B",0
