1,1,148,0,0.094032," ","integrate((b*x+a)*(d*x+c)*(f*x+e)*(h*x+g),x)","a c e g x + \frac{b d f h x^{5}}{5} + x^{4} \left(\frac{a d f h}{4} + \frac{b c f h}{4} + \frac{b d e h}{4} + \frac{b d f g}{4}\right) + x^{3} \left(\frac{a c f h}{3} + \frac{a d e h}{3} + \frac{a d f g}{3} + \frac{b c e h}{3} + \frac{b c f g}{3} + \frac{b d e g}{3}\right) + x^{2} \left(\frac{a c e h}{2} + \frac{a c f g}{2} + \frac{a d e g}{2} + \frac{b c e g}{2}\right)"," ",0,"a*c*e*g*x + b*d*f*h*x**5/5 + x**4*(a*d*f*h/4 + b*c*f*h/4 + b*d*e*h/4 + b*d*f*g/4) + x**3*(a*c*f*h/3 + a*d*e*h/3 + a*d*f*g/3 + b*c*e*h/3 + b*c*f*g/3 + b*d*e*g/3) + x**2*(a*c*e*h/2 + a*c*f*g/2 + a*d*e*g/2 + b*c*e*g/2)","A",0
2,1,146,0,0.579732," ","integrate((b*x+a)*(d*x+c)*(f*x+e)/(h*x+g),x)","\frac{b d f x^{3}}{3 h} + x^{2} \left(\frac{a d f}{2 h} + \frac{b c f}{2 h} + \frac{b d e}{2 h} - \frac{b d f g}{2 h^{2}}\right) + x \left(\frac{a c f}{h} + \frac{a d e}{h} - \frac{a d f g}{h^{2}} + \frac{b c e}{h} - \frac{b c f g}{h^{2}} - \frac{b d e g}{h^{2}} + \frac{b d f g^{2}}{h^{3}}\right) + \frac{\left(a h - b g\right) \left(c h - d g\right) \left(e h - f g\right) \log{\left(g + h x \right)}}{h^{4}}"," ",0,"b*d*f*x**3/(3*h) + x**2*(a*d*f/(2*h) + b*c*f/(2*h) + b*d*e/(2*h) - b*d*f*g/(2*h**2)) + x*(a*c*f/h + a*d*e/h - a*d*f*g/h**2 + b*c*e/h - b*c*f*g/h**2 - b*d*e*g/h**2 + b*d*f*g**2/h**3) + (a*h - b*g)*(c*h - d*g)*(e*h - f*g)*log(g + h*x)/h**4","A",0
3,1,507,0,20.494181," ","integrate((b*x+a)*(d*x+c)/(f*x+e)/(h*x+g),x)","\frac{b d x}{f h} + \frac{\left(a h - b g\right) \left(c h - d g\right) \log{\left(x + \frac{a c e f h^{2} + a c f^{2} g h - 2 a d e f g h - 2 b c e f g h + b d e^{2} g h + b d e f g^{2} - \frac{e^{2} f h \left(a h - b g\right) \left(c h - d g\right)}{e h - f g} + \frac{2 e f^{2} g \left(a h - b g\right) \left(c h - d g\right)}{e h - f g} - \frac{f^{3} g^{2} \left(a h - b g\right) \left(c h - d g\right)}{h \left(e h - f g\right)}}{2 a c f^{2} h^{2} - a d e f h^{2} - a d f^{2} g h - b c e f h^{2} - b c f^{2} g h + b d e^{2} h^{2} + b d f^{2} g^{2}} \right)}}{h^{2} \left(e h - f g\right)} - \frac{\left(a f - b e\right) \left(c f - d e\right) \log{\left(x + \frac{a c e f h^{2} + a c f^{2} g h - 2 a d e f g h - 2 b c e f g h + b d e^{2} g h + b d e f g^{2} + \frac{e^{2} h^{3} \left(a f - b e\right) \left(c f - d e\right)}{f \left(e h - f g\right)} - \frac{2 e g h^{2} \left(a f - b e\right) \left(c f - d e\right)}{e h - f g} + \frac{f g^{2} h \left(a f - b e\right) \left(c f - d e\right)}{e h - f g}}{2 a c f^{2} h^{2} - a d e f h^{2} - a d f^{2} g h - b c e f h^{2} - b c f^{2} g h + b d e^{2} h^{2} + b d f^{2} g^{2}} \right)}}{f^{2} \left(e h - f g\right)}"," ",0,"b*d*x/(f*h) + (a*h - b*g)*(c*h - d*g)*log(x + (a*c*e*f*h**2 + a*c*f**2*g*h - 2*a*d*e*f*g*h - 2*b*c*e*f*g*h + b*d*e**2*g*h + b*d*e*f*g**2 - e**2*f*h*(a*h - b*g)*(c*h - d*g)/(e*h - f*g) + 2*e*f**2*g*(a*h - b*g)*(c*h - d*g)/(e*h - f*g) - f**3*g**2*(a*h - b*g)*(c*h - d*g)/(h*(e*h - f*g)))/(2*a*c*f**2*h**2 - a*d*e*f*h**2 - a*d*f**2*g*h - b*c*e*f*h**2 - b*c*f**2*g*h + b*d*e**2*h**2 + b*d*f**2*g**2))/(h**2*(e*h - f*g)) - (a*f - b*e)*(c*f - d*e)*log(x + (a*c*e*f*h**2 + a*c*f**2*g*h - 2*a*d*e*f*g*h - 2*b*c*e*f*g*h + b*d*e**2*g*h + b*d*e*f*g**2 + e**2*h**3*(a*f - b*e)*(c*f - d*e)/(f*(e*h - f*g)) - 2*e*g*h**2*(a*f - b*e)*(c*f - d*e)/(e*h - f*g) + f*g**2*h*(a*f - b*e)*(c*f - d*e)/(e*h - f*g))/(2*a*c*f**2*h**2 - a*d*e*f*h**2 - a*d*f**2*g*h - b*c*e*f*h**2 - b*c*f**2*g*h + b*d*e**2*h**2 + b*d*f**2*g**2))/(f**2*(e*h - f*g))","B",0
4,-1,0,0,0.000000," ","integrate((b*x+a)/(d*x+c)/(f*x+e)/(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
5,-1,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)/(f*x+e)/(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
6,1,20,0,0.152591," ","integrate(x/(1+x)/(2+x)/(3+x),x)","- \frac{\log{\left(x + 1 \right)}}{2} + 2 \log{\left(x + 2 \right)} - \frac{3 \log{\left(x + 3 \right)}}{2}"," ",0,"-log(x + 1)/2 + 2*log(x + 2) - 3*log(x + 3)/2","A",0
7,1,32,0,0.160616," ","integrate((x**3-x**2)/(-6+x)/(3+5*x)**3,x)","\frac{1005 x + 471}{378125 x^{2} + 453750 x + 136125} + \frac{20 \log{\left(x - 6 \right)}}{3993} + \frac{1493 \log{\left(x + \frac{3}{5} \right)}}{499125}"," ",0,"(1005*x + 471)/(378125*x**2 + 453750*x + 136125) + 20*log(x - 6)/3993 + 1493*log(x + 3/5)/499125","A",0
8,1,274,0,37.786729," ","integrate((b*x+a)**3*(f*x+e)*(d*x+c)**(1/2)/x,x)","\frac{2 a^{3} c e \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{\sqrt{- c}} + 2 a^{3} e \sqrt{c + d x} + \frac{2 b^{3} f \left(c + d x\right)^{\frac{9}{2}}}{9 d^{4}} + \frac{2 \left(c + d x\right)^{\frac{7}{2}} \left(3 a b^{2} d f - 3 b^{3} c f + b^{3} d e\right)}{7 d^{4}} + \frac{2 \left(c + d x\right)^{\frac{5}{2}} \left(3 a^{2} b d^{2} f - 6 a b^{2} c d f + 3 a b^{2} d^{2} e + 3 b^{3} c^{2} f - 2 b^{3} c d e\right)}{5 d^{4}} + \frac{2 \left(c + d x\right)^{\frac{3}{2}} \left(a^{3} d^{3} f - 3 a^{2} b c d^{2} f + 3 a^{2} b d^{3} e + 3 a b^{2} c^{2} d f - 3 a b^{2} c d^{2} e - b^{3} c^{3} f + b^{3} c^{2} d e\right)}{3 d^{4}}"," ",0,"2*a**3*c*e*atan(sqrt(c + d*x)/sqrt(-c))/sqrt(-c) + 2*a**3*e*sqrt(c + d*x) + 2*b**3*f*(c + d*x)**(9/2)/(9*d**4) + 2*(c + d*x)**(7/2)*(3*a*b**2*d*f - 3*b**3*c*f + b**3*d*e)/(7*d**4) + 2*(c + d*x)**(5/2)*(3*a**2*b*d**2*f - 6*a*b**2*c*d*f + 3*a*b**2*d**2*e + 3*b**3*c**2*f - 2*b**3*c*d*e)/(5*d**4) + 2*(c + d*x)**(3/2)*(a**3*d**3*f - 3*a**2*b*c*d**2*f + 3*a**2*b*d**3*e + 3*a*b**2*c**2*d*f - 3*a*b**2*c*d**2*e - b**3*c**3*f + b**3*c**2*d*e)/(3*d**4)","A",0
9,1,167,0,27.596061," ","integrate((b*x+a)**2*(f*x+e)*(d*x+c)**(1/2)/x,x)","\frac{2 a^{2} c e \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{\sqrt{- c}} + 2 a^{2} e \sqrt{c + d x} + \frac{2 b^{2} f \left(c + d x\right)^{\frac{7}{2}}}{7 d^{3}} + \frac{2 \left(c + d x\right)^{\frac{5}{2}} \left(2 a b d f - 2 b^{2} c f + b^{2} d e\right)}{5 d^{3}} + \frac{2 \left(c + d x\right)^{\frac{3}{2}} \left(a^{2} d^{2} f - 2 a b c d f + 2 a b d^{2} e + b^{2} c^{2} f - b^{2} c d e\right)}{3 d^{3}}"," ",0,"2*a**2*c*e*atan(sqrt(c + d*x)/sqrt(-c))/sqrt(-c) + 2*a**2*e*sqrt(c + d*x) + 2*b**2*f*(c + d*x)**(7/2)/(7*d**3) + 2*(c + d*x)**(5/2)*(2*a*b*d*f - 2*b**2*c*f + b**2*d*e)/(5*d**3) + 2*(c + d*x)**(3/2)*(a**2*d**2*f - 2*a*b*c*d*f + 2*a*b*d**2*e + b**2*c**2*f - b**2*c*d*e)/(3*d**3)","A",0
10,1,92,0,25.990790," ","integrate((b*x+a)*(f*x+e)*(d*x+c)**(1/2)/x,x)","\frac{2 a c e \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{\sqrt{- c}} + 2 a e \sqrt{c + d x} + \frac{2 b f \left(c + d x\right)^{\frac{5}{2}}}{5 d^{2}} + \frac{2 \left(c + d x\right)^{\frac{3}{2}} \left(a d f - b c f + b d e\right)}{3 d^{2}}"," ",0,"2*a*c*e*atan(sqrt(c + d*x)/sqrt(-c))/sqrt(-c) + 2*a*e*sqrt(c + d*x) + 2*b*f*(c + d*x)**(5/2)/(5*d**2) + 2*(c + d*x)**(3/2)*(a*d*f - b*c*f + b*d*e)/(3*d**2)","A",0
11,1,54,0,5.983624," ","integrate((f*x+e)*(d*x+c)**(1/2)/x,x)","\frac{2 c e \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{\sqrt{- c}} + 2 e \sqrt{c + d x} + \frac{2 f \left(c + d x\right)^{\frac{3}{2}}}{3 d}"," ",0,"2*c*e*atan(sqrt(c + d*x)/sqrt(-c))/sqrt(-c) + 2*e*sqrt(c + d*x) + 2*f*(c + d*x)**(3/2)/(3*d)","A",0
12,1,97,0,27.333814," ","integrate((f*x+e)*(d*x+c)**(1/2)/x/(b*x+a),x)","\frac{2 f \sqrt{c + d x}}{b} + \frac{2 c e \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{a \sqrt{- c}} - \frac{2 \left(a d - b c\right) \left(a f - b e\right) \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d - b c}{b}}} \right)}}{a b^{2} \sqrt{\frac{a d - b c}{b}}}"," ",0,"2*f*sqrt(c + d*x)/b + 2*c*e*atan(sqrt(c + d*x)/sqrt(-c))/(a*sqrt(-c)) - 2*(a*d - b*c)*(a*f - b*e)*atan(sqrt(c + d*x)/sqrt((a*d - b*c)/b))/(a*b**2*sqrt((a*d - b*c)/b))","A",0
13,1,1204,0,133.870389," ","integrate((f*x+e)*(d*x+c)**(1/2)/x/(b*x+a)**2,x)","- \frac{2 a d^{2} f \sqrt{c + d x}}{2 a^{2} b d^{2} - 2 a b^{2} c d + 2 a b^{2} d^{2} x - 2 b^{3} c d x} + \frac{a d^{2} f \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(- a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2 b} - \frac{a d^{2} f \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2 b} - \frac{2 b c d e \sqrt{c + d x}}{2 a^{3} d^{2} - 2 a^{2} b c d + 2 a^{2} b d^{2} x - 2 a b^{2} c d x} - \frac{c d f \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(- a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2} + \frac{c d f \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2} + \frac{2 c d f \sqrt{c + d x}}{2 a^{2} d^{2} - 2 a b c d + 2 a b d^{2} x - 2 b^{2} c d x} - \frac{d^{2} e \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(- a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2} + \frac{d^{2} e \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2} + \frac{2 d^{2} e \sqrt{c + d x}}{2 a^{2} d^{2} - 2 a b c d + 2 a b d^{2} x - 2 b^{2} c d x} + \frac{2 d f \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d}{b} - c}} \right)}}{b^{2} \sqrt{\frac{a d}{b} - c}} + \frac{b c d e \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(- a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2 a} - \frac{b c d e \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} \log{\left(a^{2} d^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} - 2 a b c d \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + b^{2} c^{2} \sqrt{- \frac{1}{b \left(a d - b c\right)^{3}}} + \sqrt{c + d x} \right)}}{2 a} - \frac{2 c e \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{\frac{a d}{b} - c}} \right)}}{a^{2} \sqrt{\frac{a d}{b} - c}} + \frac{2 c e \operatorname{atan}{\left(\frac{\sqrt{c + d x}}{\sqrt{- c}} \right)}}{a^{2} \sqrt{- c}}"," ",0,"-2*a*d**2*f*sqrt(c + d*x)/(2*a**2*b*d**2 - 2*a*b**2*c*d + 2*a*b**2*d**2*x - 2*b**3*c*d*x) + a*d**2*f*sqrt(-1/(b*(a*d - b*c)**3))*log(-a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) + 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) - b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/(2*b) - a*d**2*f*sqrt(-1/(b*(a*d - b*c)**3))*log(a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) - 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) + b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/(2*b) - 2*b*c*d*e*sqrt(c + d*x)/(2*a**3*d**2 - 2*a**2*b*c*d + 2*a**2*b*d**2*x - 2*a*b**2*c*d*x) - c*d*f*sqrt(-1/(b*(a*d - b*c)**3))*log(-a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) + 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) - b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/2 + c*d*f*sqrt(-1/(b*(a*d - b*c)**3))*log(a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) - 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) + b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/2 + 2*c*d*f*sqrt(c + d*x)/(2*a**2*d**2 - 2*a*b*c*d + 2*a*b*d**2*x - 2*b**2*c*d*x) - d**2*e*sqrt(-1/(b*(a*d - b*c)**3))*log(-a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) + 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) - b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/2 + d**2*e*sqrt(-1/(b*(a*d - b*c)**3))*log(a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) - 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) + b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/2 + 2*d**2*e*sqrt(c + d*x)/(2*a**2*d**2 - 2*a*b*c*d + 2*a*b*d**2*x - 2*b**2*c*d*x) + 2*d*f*atan(sqrt(c + d*x)/sqrt(a*d/b - c))/(b**2*sqrt(a*d/b - c)) + b*c*d*e*sqrt(-1/(b*(a*d - b*c)**3))*log(-a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) + 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) - b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/(2*a) - b*c*d*e*sqrt(-1/(b*(a*d - b*c)**3))*log(a**2*d**2*sqrt(-1/(b*(a*d - b*c)**3)) - 2*a*b*c*d*sqrt(-1/(b*(a*d - b*c)**3)) + b**2*c**2*sqrt(-1/(b*(a*d - b*c)**3)) + sqrt(c + d*x))/(2*a) - 2*c*e*atan(sqrt(c + d*x)/sqrt(a*d/b - c))/(a**2*sqrt(a*d/b - c)) + 2*c*e*atan(sqrt(c + d*x)/sqrt(-c))/(a**2*sqrt(-c))","B",0
14,-1,0,0,0.000000," ","integrate((f*x+e)*(d*x+c)**(1/2)/x/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,1,274,0,37.946071," ","integrate((d*x+c)**3*(f*x+e)*(b*x+a)**(1/2)/x,x)","\frac{2 a c^{3} e \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + 2 c^{3} e \sqrt{a + b x} + \frac{2 d^{3} f \left(a + b x\right)^{\frac{9}{2}}}{9 b^{4}} + \frac{2 \left(a + b x\right)^{\frac{7}{2}} \left(- 3 a d^{3} f + 3 b c d^{2} f + b d^{3} e\right)}{7 b^{4}} + \frac{2 \left(a + b x\right)^{\frac{5}{2}} \left(3 a^{2} d^{3} f - 6 a b c d^{2} f - 2 a b d^{3} e + 3 b^{2} c^{2} d f + 3 b^{2} c d^{2} e\right)}{5 b^{4}} + \frac{2 \left(a + b x\right)^{\frac{3}{2}} \left(- a^{3} d^{3} f + 3 a^{2} b c d^{2} f + a^{2} b d^{3} e - 3 a b^{2} c^{2} d f - 3 a b^{2} c d^{2} e + b^{3} c^{3} f + 3 b^{3} c^{2} d e\right)}{3 b^{4}}"," ",0,"2*a*c**3*e*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) + 2*c**3*e*sqrt(a + b*x) + 2*d**3*f*(a + b*x)**(9/2)/(9*b**4) + 2*(a + b*x)**(7/2)*(-3*a*d**3*f + 3*b*c*d**2*f + b*d**3*e)/(7*b**4) + 2*(a + b*x)**(5/2)*(3*a**2*d**3*f - 6*a*b*c*d**2*f - 2*a*b*d**3*e + 3*b**2*c**2*d*f + 3*b**2*c*d**2*e)/(5*b**4) + 2*(a + b*x)**(3/2)*(-a**3*d**3*f + 3*a**2*b*c*d**2*f + a**2*b*d**3*e - 3*a*b**2*c**2*d*f - 3*a*b**2*c*d**2*e + b**3*c**3*f + 3*b**3*c**2*d*e)/(3*b**4)","A",0
16,1,167,0,26.173045," ","integrate((d*x+c)**2*(f*x+e)*(b*x+a)**(1/2)/x,x)","\frac{2 a c^{2} e \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + 2 c^{2} e \sqrt{a + b x} + \frac{2 d^{2} f \left(a + b x\right)^{\frac{7}{2}}}{7 b^{3}} + \frac{2 \left(a + b x\right)^{\frac{5}{2}} \left(- 2 a d^{2} f + 2 b c d f + b d^{2} e\right)}{5 b^{3}} + \frac{2 \left(a + b x\right)^{\frac{3}{2}} \left(a^{2} d^{2} f - 2 a b c d f - a b d^{2} e + b^{2} c^{2} f + 2 b^{2} c d e\right)}{3 b^{3}}"," ",0,"2*a*c**2*e*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) + 2*c**2*e*sqrt(a + b*x) + 2*d**2*f*(a + b*x)**(7/2)/(7*b**3) + 2*(a + b*x)**(5/2)*(-2*a*d**2*f + 2*b*c*d*f + b*d**2*e)/(5*b**3) + 2*(a + b*x)**(3/2)*(a**2*d**2*f - 2*a*b*c*d*f - a*b*d**2*e + b**2*c**2*f + 2*b**2*c*d*e)/(3*b**3)","A",0
17,1,92,0,25.966186," ","integrate((d*x+c)*(f*x+e)*(b*x+a)**(1/2)/x,x)","\frac{2 a c e \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + 2 c e \sqrt{a + b x} + \frac{2 d f \left(a + b x\right)^{\frac{5}{2}}}{5 b^{2}} + \frac{2 \left(a + b x\right)^{\frac{3}{2}} \left(- a d f + b c f + b d e\right)}{3 b^{2}}"," ",0,"2*a*c*e*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) + 2*c*e*sqrt(a + b*x) + 2*d*f*(a + b*x)**(5/2)/(5*b**2) + 2*(a + b*x)**(3/2)*(-a*d*f + b*c*f + b*d*e)/(3*b**2)","A",0
18,1,54,0,6.083102," ","integrate((f*x+e)*(b*x+a)**(1/2)/x,x)","\frac{2 a e \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{\sqrt{- a}} + 2 e \sqrt{a + b x} + \frac{2 f \left(a + b x\right)^{\frac{3}{2}}}{3 b}"," ",0,"2*a*e*atan(sqrt(a + b*x)/sqrt(-a))/sqrt(-a) + 2*e*sqrt(a + b*x) + 2*f*(a + b*x)**(3/2)/(3*b)","A",0
19,1,100,0,24.250976," ","integrate((f*x+e)*(b*x+a)**(1/2)/x/(d*x+c),x)","\frac{2 a e \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{c \sqrt{- a}} + \frac{2 f \sqrt{a + b x}}{d} + \frac{2 \left(a d - b c\right) \left(c f - d e\right) \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- \frac{a d - b c}{d}}} \right)}}{c d^{2} \sqrt{- \frac{a d - b c}{d}}}"," ",0,"2*a*e*atan(sqrt(a + b*x)/sqrt(-a))/(c*sqrt(-a)) + 2*f*sqrt(a + b*x)/d + 2*(a*d - b*c)*(c*f - d*e)*atan(sqrt(a + b*x)/sqrt(-(a*d - b*c)/d))/(c*d**2*sqrt(-(a*d - b*c)/d))","A",0
20,1,1149,0,142.241872," ","integrate((f*x+e)*(b*x+a)**(1/2)/x/(d*x+c)**2,x)","\frac{2 a b d e \sqrt{a + b x}}{2 a b c^{2} d + 2 a b c d^{2} x - 2 b^{2} c^{3} - 2 b^{2} c^{2} d x} - \frac{a b f \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} \log{\left(- a^{2} d^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + 2 a b c d \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} - b^{2} c^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{a b f \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} \log{\left(a^{2} d^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} - 2 a b c d \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + b^{2} c^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + \sqrt{a + b x} \right)}}{2} - \frac{2 a b f \sqrt{a + b x}}{2 a b c d + 2 a b d^{2} x - 2 b^{2} c^{2} - 2 b^{2} c d x} + \frac{a b d e \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} \log{\left(- a^{2} d^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + 2 a b c d \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} - b^{2} c^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + \sqrt{a + b x} \right)}}{2 c} - \frac{a b d e \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} \log{\left(a^{2} d^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} - 2 a b c d \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + b^{2} c^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + \sqrt{a + b x} \right)}}{2 c} - \frac{2 a e \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a + \frac{b c}{d}}} \right)}}{c^{2} \sqrt{- a + \frac{b c}{d}}} + \frac{2 a e \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a}} \right)}}{c^{2} \sqrt{- a}} + \frac{2 b^{2} c f \sqrt{a + b x}}{2 a b c d^{2} + 2 a b d^{3} x - 2 b^{2} c^{2} d - 2 b^{2} c d^{2} x} + \frac{b^{2} c f \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} \log{\left(- a^{2} d^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + 2 a b c d \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} - b^{2} c^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + \sqrt{a + b x} \right)}}{2 d} - \frac{b^{2} c f \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} \log{\left(a^{2} d^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} - 2 a b c d \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + b^{2} c^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + \sqrt{a + b x} \right)}}{2 d} - \frac{b^{2} e \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} \log{\left(- a^{2} d^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + 2 a b c d \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} - b^{2} c^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + \sqrt{a + b x} \right)}}{2} + \frac{b^{2} e \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} \log{\left(a^{2} d^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} - 2 a b c d \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + b^{2} c^{2} \sqrt{\frac{1}{d \left(a d - b c\right)^{3}}} + \sqrt{a + b x} \right)}}{2} - \frac{2 b^{2} e \sqrt{a + b x}}{2 a b c d + 2 a b d^{2} x - 2 b^{2} c^{2} - 2 b^{2} c d x} + \frac{2 b f \operatorname{atan}{\left(\frac{\sqrt{a + b x}}{\sqrt{- a + \frac{b c}{d}}} \right)}}{d^{2} \sqrt{- a + \frac{b c}{d}}}"," ",0,"2*a*b*d*e*sqrt(a + b*x)/(2*a*b*c**2*d + 2*a*b*c*d**2*x - 2*b**2*c**3 - 2*b**2*c**2*d*x) - a*b*f*sqrt(1/(d*(a*d - b*c)**3))*log(-a**2*d**2*sqrt(1/(d*(a*d - b*c)**3)) + 2*a*b*c*d*sqrt(1/(d*(a*d - b*c)**3)) - b**2*c**2*sqrt(1/(d*(a*d - b*c)**3)) + sqrt(a + b*x))/2 + a*b*f*sqrt(1/(d*(a*d - b*c)**3))*log(a**2*d**2*sqrt(1/(d*(a*d - b*c)**3)) - 2*a*b*c*d*sqrt(1/(d*(a*d - b*c)**3)) + b**2*c**2*sqrt(1/(d*(a*d - b*c)**3)) + sqrt(a + b*x))/2 - 2*a*b*f*sqrt(a + b*x)/(2*a*b*c*d + 2*a*b*d**2*x - 2*b**2*c**2 - 2*b**2*c*d*x) + a*b*d*e*sqrt(1/(d*(a*d - b*c)**3))*log(-a**2*d**2*sqrt(1/(d*(a*d - b*c)**3)) + 2*a*b*c*d*sqrt(1/(d*(a*d - b*c)**3)) - b**2*c**2*sqrt(1/(d*(a*d - b*c)**3)) + sqrt(a + b*x))/(2*c) - a*b*d*e*sqrt(1/(d*(a*d - b*c)**3))*log(a**2*d**2*sqrt(1/(d*(a*d - b*c)**3)) - 2*a*b*c*d*sqrt(1/(d*(a*d - b*c)**3)) + b**2*c**2*sqrt(1/(d*(a*d - b*c)**3)) + sqrt(a + b*x))/(2*c) - 2*a*e*atan(sqrt(a + b*x)/sqrt(-a + b*c/d))/(c**2*sqrt(-a + b*c/d)) + 2*a*e*atan(sqrt(a + b*x)/sqrt(-a))/(c**2*sqrt(-a)) + 2*b**2*c*f*sqrt(a + b*x)/(2*a*b*c*d**2 + 2*a*b*d**3*x - 2*b**2*c**2*d - 2*b**2*c*d**2*x) + b**2*c*f*sqrt(1/(d*(a*d - b*c)**3))*log(-a**2*d**2*sqrt(1/(d*(a*d - b*c)**3)) + 2*a*b*c*d*sqrt(1/(d*(a*d - b*c)**3)) - b**2*c**2*sqrt(1/(d*(a*d - b*c)**3)) + sqrt(a + b*x))/(2*d) - b**2*c*f*sqrt(1/(d*(a*d - b*c)**3))*log(a**2*d**2*sqrt(1/(d*(a*d - b*c)**3)) - 2*a*b*c*d*sqrt(1/(d*(a*d - b*c)**3)) + b**2*c**2*sqrt(1/(d*(a*d - b*c)**3)) + sqrt(a + b*x))/(2*d) - b**2*e*sqrt(1/(d*(a*d - b*c)**3))*log(-a**2*d**2*sqrt(1/(d*(a*d - b*c)**3)) + 2*a*b*c*d*sqrt(1/(d*(a*d - b*c)**3)) - b**2*c**2*sqrt(1/(d*(a*d - b*c)**3)) + sqrt(a + b*x))/2 + b**2*e*sqrt(1/(d*(a*d - b*c)**3))*log(a**2*d**2*sqrt(1/(d*(a*d - b*c)**3)) - 2*a*b*c*d*sqrt(1/(d*(a*d - b*c)**3)) + b**2*c**2*sqrt(1/(d*(a*d - b*c)**3)) + sqrt(a + b*x))/2 - 2*b**2*e*sqrt(a + b*x)/(2*a*b*c*d + 2*a*b*d**2*x - 2*b**2*c**2 - 2*b**2*c*d*x) + 2*b*f*atan(sqrt(a + b*x)/sqrt(-a + b*c/d))/(d**2*sqrt(-a + b*c/d))","B",0
21,-1,0,0,0.000000," ","integrate((f*x+e)*(b*x+a)**(1/2)/x/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,1,484,0,35.797339," ","integrate(x**3*(a*x+1)/(a*x)**(1/2)/(-a*x+1)**(1/2),x)","a \left(\begin{cases} - \frac{35 i \operatorname{acosh}{\left(\sqrt{a} \sqrt{x} \right)}}{64 a^{5}} - \frac{i x^{\frac{9}{2}}}{4 \sqrt{a} \sqrt{a x - 1}} - \frac{i x^{\frac{7}{2}}}{24 a^{\frac{3}{2}} \sqrt{a x - 1}} - \frac{7 i x^{\frac{5}{2}}}{96 a^{\frac{5}{2}} \sqrt{a x - 1}} - \frac{35 i x^{\frac{3}{2}}}{192 a^{\frac{7}{2}} \sqrt{a x - 1}} + \frac{35 i \sqrt{x}}{64 a^{\frac{9}{2}} \sqrt{a x - 1}} & \text{for}\: \left|{a x}\right| > 1 \\\frac{35 \operatorname{asin}{\left(\sqrt{a} \sqrt{x} \right)}}{64 a^{5}} + \frac{x^{\frac{9}{2}}}{4 \sqrt{a} \sqrt{- a x + 1}} + \frac{x^{\frac{7}{2}}}{24 a^{\frac{3}{2}} \sqrt{- a x + 1}} + \frac{7 x^{\frac{5}{2}}}{96 a^{\frac{5}{2}} \sqrt{- a x + 1}} + \frac{35 x^{\frac{3}{2}}}{192 a^{\frac{7}{2}} \sqrt{- a x + 1}} - \frac{35 \sqrt{x}}{64 a^{\frac{9}{2}} \sqrt{- a x + 1}} & \text{otherwise} \end{cases}\right) + \begin{cases} - \frac{5 i \operatorname{acosh}{\left(\sqrt{a} \sqrt{x} \right)}}{8 a^{4}} - \frac{i x^{\frac{7}{2}}}{3 \sqrt{a} \sqrt{a x - 1}} - \frac{i x^{\frac{5}{2}}}{12 a^{\frac{3}{2}} \sqrt{a x - 1}} - \frac{5 i x^{\frac{3}{2}}}{24 a^{\frac{5}{2}} \sqrt{a x - 1}} + \frac{5 i \sqrt{x}}{8 a^{\frac{7}{2}} \sqrt{a x - 1}} & \text{for}\: \left|{a x}\right| > 1 \\\frac{5 \operatorname{asin}{\left(\sqrt{a} \sqrt{x} \right)}}{8 a^{4}} + \frac{x^{\frac{7}{2}}}{3 \sqrt{a} \sqrt{- a x + 1}} + \frac{x^{\frac{5}{2}}}{12 a^{\frac{3}{2}} \sqrt{- a x + 1}} + \frac{5 x^{\frac{3}{2}}}{24 a^{\frac{5}{2}} \sqrt{- a x + 1}} - \frac{5 \sqrt{x}}{8 a^{\frac{7}{2}} \sqrt{- a x + 1}} & \text{otherwise} \end{cases}"," ",0,"a*Piecewise((-35*I*acosh(sqrt(a)*sqrt(x))/(64*a**5) - I*x**(9/2)/(4*sqrt(a)*sqrt(a*x - 1)) - I*x**(7/2)/(24*a**(3/2)*sqrt(a*x - 1)) - 7*I*x**(5/2)/(96*a**(5/2)*sqrt(a*x - 1)) - 35*I*x**(3/2)/(192*a**(7/2)*sqrt(a*x - 1)) + 35*I*sqrt(x)/(64*a**(9/2)*sqrt(a*x - 1)), Abs(a*x) > 1), (35*asin(sqrt(a)*sqrt(x))/(64*a**5) + x**(9/2)/(4*sqrt(a)*sqrt(-a*x + 1)) + x**(7/2)/(24*a**(3/2)*sqrt(-a*x + 1)) + 7*x**(5/2)/(96*a**(5/2)*sqrt(-a*x + 1)) + 35*x**(3/2)/(192*a**(7/2)*sqrt(-a*x + 1)) - 35*sqrt(x)/(64*a**(9/2)*sqrt(-a*x + 1)), True)) + Piecewise((-5*I*acosh(sqrt(a)*sqrt(x))/(8*a**4) - I*x**(7/2)/(3*sqrt(a)*sqrt(a*x - 1)) - I*x**(5/2)/(12*a**(3/2)*sqrt(a*x - 1)) - 5*I*x**(3/2)/(24*a**(5/2)*sqrt(a*x - 1)) + 5*I*sqrt(x)/(8*a**(7/2)*sqrt(a*x - 1)), Abs(a*x) > 1), (5*asin(sqrt(a)*sqrt(x))/(8*a**4) + x**(7/2)/(3*sqrt(a)*sqrt(-a*x + 1)) + x**(5/2)/(12*a**(3/2)*sqrt(-a*x + 1)) + 5*x**(3/2)/(24*a**(5/2)*sqrt(-a*x + 1)) - 5*sqrt(x)/(8*a**(7/2)*sqrt(-a*x + 1)), True))","C",0
23,1,393,0,25.600872," ","integrate(x**2*(a*x+1)/(a*x)**(1/2)/(-a*x+1)**(1/2),x)","a \left(\begin{cases} - \frac{5 i \operatorname{acosh}{\left(\sqrt{a} \sqrt{x} \right)}}{8 a^{4}} - \frac{i x^{\frac{7}{2}}}{3 \sqrt{a} \sqrt{a x - 1}} - \frac{i x^{\frac{5}{2}}}{12 a^{\frac{3}{2}} \sqrt{a x - 1}} - \frac{5 i x^{\frac{3}{2}}}{24 a^{\frac{5}{2}} \sqrt{a x - 1}} + \frac{5 i \sqrt{x}}{8 a^{\frac{7}{2}} \sqrt{a x - 1}} & \text{for}\: \left|{a x}\right| > 1 \\\frac{5 \operatorname{asin}{\left(\sqrt{a} \sqrt{x} \right)}}{8 a^{4}} + \frac{x^{\frac{7}{2}}}{3 \sqrt{a} \sqrt{- a x + 1}} + \frac{x^{\frac{5}{2}}}{12 a^{\frac{3}{2}} \sqrt{- a x + 1}} + \frac{5 x^{\frac{3}{2}}}{24 a^{\frac{5}{2}} \sqrt{- a x + 1}} - \frac{5 \sqrt{x}}{8 a^{\frac{7}{2}} \sqrt{- a x + 1}} & \text{otherwise} \end{cases}\right) + \begin{cases} - \frac{3 i \operatorname{acosh}{\left(\sqrt{a} \sqrt{x} \right)}}{4 a^{3}} - \frac{i x^{\frac{5}{2}}}{2 \sqrt{a} \sqrt{a x - 1}} - \frac{i x^{\frac{3}{2}}}{4 a^{\frac{3}{2}} \sqrt{a x - 1}} + \frac{3 i \sqrt{x}}{4 a^{\frac{5}{2}} \sqrt{a x - 1}} & \text{for}\: \left|{a x}\right| > 1 \\\frac{3 \operatorname{asin}{\left(\sqrt{a} \sqrt{x} \right)}}{4 a^{3}} + \frac{x^{\frac{5}{2}}}{2 \sqrt{a} \sqrt{- a x + 1}} + \frac{x^{\frac{3}{2}}}{4 a^{\frac{3}{2}} \sqrt{- a x + 1}} - \frac{3 \sqrt{x}}{4 a^{\frac{5}{2}} \sqrt{- a x + 1}} & \text{otherwise} \end{cases}"," ",0,"a*Piecewise((-5*I*acosh(sqrt(a)*sqrt(x))/(8*a**4) - I*x**(7/2)/(3*sqrt(a)*sqrt(a*x - 1)) - I*x**(5/2)/(12*a**(3/2)*sqrt(a*x - 1)) - 5*I*x**(3/2)/(24*a**(5/2)*sqrt(a*x - 1)) + 5*I*sqrt(x)/(8*a**(7/2)*sqrt(a*x - 1)), Abs(a*x) > 1), (5*asin(sqrt(a)*sqrt(x))/(8*a**4) + x**(7/2)/(3*sqrt(a)*sqrt(-a*x + 1)) + x**(5/2)/(12*a**(3/2)*sqrt(-a*x + 1)) + 5*x**(3/2)/(24*a**(5/2)*sqrt(-a*x + 1)) - 5*sqrt(x)/(8*a**(7/2)*sqrt(-a*x + 1)), True)) + Piecewise((-3*I*acosh(sqrt(a)*sqrt(x))/(4*a**3) - I*x**(5/2)/(2*sqrt(a)*sqrt(a*x - 1)) - I*x**(3/2)/(4*a**(3/2)*sqrt(a*x - 1)) + 3*I*sqrt(x)/(4*a**(5/2)*sqrt(a*x - 1)), Abs(a*x) > 1), (3*asin(sqrt(a)*sqrt(x))/(4*a**3) + x**(5/2)/(2*sqrt(a)*sqrt(-a*x + 1)) + x**(3/2)/(4*a**(3/2)*sqrt(-a*x + 1)) - 3*sqrt(x)/(4*a**(5/2)*sqrt(-a*x + 1)), True))","C",0
24,1,269,0,20.770714," ","integrate(x*(a*x+1)/(a*x)**(1/2)/(-a*x+1)**(1/2),x)","a \left(\begin{cases} - \frac{3 i \operatorname{acosh}{\left(\sqrt{a} \sqrt{x} \right)}}{4 a^{3}} - \frac{i x^{\frac{5}{2}}}{2 \sqrt{a} \sqrt{a x - 1}} - \frac{i x^{\frac{3}{2}}}{4 a^{\frac{3}{2}} \sqrt{a x - 1}} + \frac{3 i \sqrt{x}}{4 a^{\frac{5}{2}} \sqrt{a x - 1}} & \text{for}\: \left|{a x}\right| > 1 \\\frac{3 \operatorname{asin}{\left(\sqrt{a} \sqrt{x} \right)}}{4 a^{3}} + \frac{x^{\frac{5}{2}}}{2 \sqrt{a} \sqrt{- a x + 1}} + \frac{x^{\frac{3}{2}}}{4 a^{\frac{3}{2}} \sqrt{- a x + 1}} - \frac{3 \sqrt{x}}{4 a^{\frac{5}{2}} \sqrt{- a x + 1}} & \text{otherwise} \end{cases}\right) + \begin{cases} - \frac{i \operatorname{acosh}{\left(\sqrt{a} \sqrt{x} \right)}}{a^{2}} - \frac{i \sqrt{x} \sqrt{a x - 1}}{a^{\frac{3}{2}}} & \text{for}\: \left|{a x}\right| > 1 \\\frac{\operatorname{asin}{\left(\sqrt{a} \sqrt{x} \right)}}{a^{2}} + \frac{x^{\frac{3}{2}}}{\sqrt{a} \sqrt{- a x + 1}} - \frac{\sqrt{x}}{a^{\frac{3}{2}} \sqrt{- a x + 1}} & \text{otherwise} \end{cases}"," ",0,"a*Piecewise((-3*I*acosh(sqrt(a)*sqrt(x))/(4*a**3) - I*x**(5/2)/(2*sqrt(a)*sqrt(a*x - 1)) - I*x**(3/2)/(4*a**(3/2)*sqrt(a*x - 1)) + 3*I*sqrt(x)/(4*a**(5/2)*sqrt(a*x - 1)), Abs(a*x) > 1), (3*asin(sqrt(a)*sqrt(x))/(4*a**3) + x**(5/2)/(2*sqrt(a)*sqrt(-a*x + 1)) + x**(3/2)/(4*a**(3/2)*sqrt(-a*x + 1)) - 3*sqrt(x)/(4*a**(5/2)*sqrt(-a*x + 1)), True)) + Piecewise((-I*acosh(sqrt(a)*sqrt(x))/a**2 - I*sqrt(x)*sqrt(a*x - 1)/a**(3/2), Abs(a*x) > 1), (asin(sqrt(a)*sqrt(x))/a**2 + x**(3/2)/(sqrt(a)*sqrt(-a*x + 1)) - sqrt(x)/(a**(3/2)*sqrt(-a*x + 1)), True))","C",0
25,1,133,0,11.712620," ","integrate((a*x+1)/(a*x)**(1/2)/(-a*x+1)**(1/2),x)","a \left(\begin{cases} - \frac{i \operatorname{acosh}{\left(\sqrt{a} \sqrt{x} \right)}}{a^{2}} - \frac{i \sqrt{x} \sqrt{a x - 1}}{a^{\frac{3}{2}}} & \text{for}\: \left|{a x}\right| > 1 \\\frac{\operatorname{asin}{\left(\sqrt{a} \sqrt{x} \right)}}{a^{2}} + \frac{x^{\frac{3}{2}}}{\sqrt{a} \sqrt{- a x + 1}} - \frac{\sqrt{x}}{a^{\frac{3}{2}} \sqrt{- a x + 1}} & \text{otherwise} \end{cases}\right) + \begin{cases} - \frac{2 i \operatorname{acosh}{\left(\sqrt{a} \sqrt{x} \right)}}{a} & \text{for}\: \left|{a x}\right| > 1 \\\frac{2 \operatorname{asin}{\left(\sqrt{a} \sqrt{x} \right)}}{a} & \text{otherwise} \end{cases}"," ",0,"a*Piecewise((-I*acosh(sqrt(a)*sqrt(x))/a**2 - I*sqrt(x)*sqrt(a*x - 1)/a**(3/2), Abs(a*x) > 1), (asin(sqrt(a)*sqrt(x))/a**2 + x**(3/2)/(sqrt(a)*sqrt(-a*x + 1)) - sqrt(x)/(a**(3/2)*sqrt(-a*x + 1)), True)) + Piecewise((-2*I*acosh(sqrt(a)*sqrt(x))/a, Abs(a*x) > 1), (2*asin(sqrt(a)*sqrt(x))/a, True))","C",0
26,1,71,0,25.620298," ","integrate((a*x+1)/x/(a*x)**(1/2)/(-a*x+1)**(1/2),x)","a \left(\begin{cases} - \frac{2 i \operatorname{acosh}{\left(\sqrt{a} \sqrt{x} \right)}}{a} & \text{for}\: \left|{a x}\right| > 1 \\\frac{2 \operatorname{asin}{\left(\sqrt{a} \sqrt{x} \right)}}{a} & \text{otherwise} \end{cases}\right) + \begin{cases} - 2 \sqrt{-1 + \frac{1}{a x}} & \text{for}\: \frac{1}{\left|{a x}\right|} > 1 \\- 2 i \sqrt{1 - \frac{1}{a x}} & \text{otherwise} \end{cases}"," ",0,"a*Piecewise((-2*I*acosh(sqrt(a)*sqrt(x))/a, Abs(a*x) > 1), (2*asin(sqrt(a)*sqrt(x))/a, True)) + Piecewise((-2*sqrt(-1 + 1/(a*x)), 1/Abs(a*x) > 1), (-2*I*sqrt(1 - 1/(a*x)), True))","C",0
27,1,107,0,15.238261," ","integrate((a*x+1)/x**2/(a*x)**(1/2)/(-a*x+1)**(1/2),x)","a \left(\begin{cases} - 2 \sqrt{-1 + \frac{1}{a x}} & \text{for}\: \frac{1}{\left|{a x}\right|} > 1 \\- 2 i \sqrt{1 - \frac{1}{a x}} & \text{otherwise} \end{cases}\right) + \begin{cases} - \frac{4 a \sqrt{-1 + \frac{1}{a x}}}{3} - \frac{2 \sqrt{-1 + \frac{1}{a x}}}{3 x} & \text{for}\: \frac{1}{\left|{a x}\right|} > 1 \\- \frac{4 i a \sqrt{1 - \frac{1}{a x}}}{3} - \frac{2 i \sqrt{1 - \frac{1}{a x}}}{3 x} & \text{otherwise} \end{cases}"," ",0,"a*Piecewise((-2*sqrt(-1 + 1/(a*x)), 1/Abs(a*x) > 1), (-2*I*sqrt(1 - 1/(a*x)), True)) + Piecewise((-4*a*sqrt(-1 + 1/(a*x))/3 - 2*sqrt(-1 + 1/(a*x))/(3*x), 1/Abs(a*x) > 1), (-4*I*a*sqrt(1 - 1/(a*x))/3 - 2*I*sqrt(1 - 1/(a*x))/(3*x), True))","C",0
28,1,189,0,17.838694," ","integrate((a*x+1)/x**3/(a*x)**(1/2)/(-a*x+1)**(1/2),x)","a \left(\begin{cases} - \frac{4 a \sqrt{-1 + \frac{1}{a x}}}{3} - \frac{2 \sqrt{-1 + \frac{1}{a x}}}{3 x} & \text{for}\: \frac{1}{\left|{a x}\right|} > 1 \\- \frac{4 i a \sqrt{1 - \frac{1}{a x}}}{3} - \frac{2 i \sqrt{1 - \frac{1}{a x}}}{3 x} & \text{otherwise} \end{cases}\right) + \begin{cases} - \frac{16 a^{2} \sqrt{-1 + \frac{1}{a x}}}{15} - \frac{8 a \sqrt{-1 + \frac{1}{a x}}}{15 x} - \frac{2 \sqrt{-1 + \frac{1}{a x}}}{5 x^{2}} & \text{for}\: \frac{1}{\left|{a x}\right|} > 1 \\- \frac{16 i a^{2} \sqrt{1 - \frac{1}{a x}}}{15} - \frac{8 i a \sqrt{1 - \frac{1}{a x}}}{15 x} - \frac{2 i \sqrt{1 - \frac{1}{a x}}}{5 x^{2}} & \text{otherwise} \end{cases}"," ",0,"a*Piecewise((-4*a*sqrt(-1 + 1/(a*x))/3 - 2*sqrt(-1 + 1/(a*x))/(3*x), 1/Abs(a*x) > 1), (-4*I*a*sqrt(1 - 1/(a*x))/3 - 2*I*sqrt(1 - 1/(a*x))/(3*x), True)) + Piecewise((-16*a**2*sqrt(-1 + 1/(a*x))/15 - 8*a*sqrt(-1 + 1/(a*x))/(15*x) - 2*sqrt(-1 + 1/(a*x))/(5*x**2), 1/Abs(a*x) > 1), (-16*I*a**2*sqrt(1 - 1/(a*x))/15 - 8*I*a*sqrt(1 - 1/(a*x))/(15*x) - 2*I*sqrt(1 - 1/(a*x))/(5*x**2), True))","C",0
29,1,274,0,23.153935," ","integrate((a*x+1)/x**4/(a*x)**(1/2)/(-a*x+1)**(1/2),x)","a \left(\begin{cases} - \frac{16 a^{2} \sqrt{-1 + \frac{1}{a x}}}{15} - \frac{8 a \sqrt{-1 + \frac{1}{a x}}}{15 x} - \frac{2 \sqrt{-1 + \frac{1}{a x}}}{5 x^{2}} & \text{for}\: \frac{1}{\left|{a x}\right|} > 1 \\- \frac{16 i a^{2} \sqrt{1 - \frac{1}{a x}}}{15} - \frac{8 i a \sqrt{1 - \frac{1}{a x}}}{15 x} - \frac{2 i \sqrt{1 - \frac{1}{a x}}}{5 x^{2}} & \text{otherwise} \end{cases}\right) + \begin{cases} - \frac{32 a^{3} \sqrt{-1 + \frac{1}{a x}}}{35} - \frac{16 a^{2} \sqrt{-1 + \frac{1}{a x}}}{35 x} - \frac{12 a \sqrt{-1 + \frac{1}{a x}}}{35 x^{2}} - \frac{2 \sqrt{-1 + \frac{1}{a x}}}{7 x^{3}} & \text{for}\: \frac{1}{\left|{a x}\right|} > 1 \\- \frac{32 i a^{3} \sqrt{1 - \frac{1}{a x}}}{35} - \frac{16 i a^{2} \sqrt{1 - \frac{1}{a x}}}{35 x} - \frac{12 i a \sqrt{1 - \frac{1}{a x}}}{35 x^{2}} - \frac{2 i \sqrt{1 - \frac{1}{a x}}}{7 x^{3}} & \text{otherwise} \end{cases}"," ",0,"a*Piecewise((-16*a**2*sqrt(-1 + 1/(a*x))/15 - 8*a*sqrt(-1 + 1/(a*x))/(15*x) - 2*sqrt(-1 + 1/(a*x))/(5*x**2), 1/Abs(a*x) > 1), (-16*I*a**2*sqrt(1 - 1/(a*x))/15 - 8*I*a*sqrt(1 - 1/(a*x))/(15*x) - 2*I*sqrt(1 - 1/(a*x))/(5*x**2), True)) + Piecewise((-32*a**3*sqrt(-1 + 1/(a*x))/35 - 16*a**2*sqrt(-1 + 1/(a*x))/(35*x) - 12*a*sqrt(-1 + 1/(a*x))/(35*x**2) - 2*sqrt(-1 + 1/(a*x))/(7*x**3), 1/Abs(a*x) > 1), (-32*I*a**3*sqrt(1 - 1/(a*x))/35 - 16*I*a**2*sqrt(1 - 1/(a*x))/(35*x) - 12*I*a*sqrt(1 - 1/(a*x))/(35*x**2) - 2*I*sqrt(1 - 1/(a*x))/(7*x**3), True))","C",0
30,1,359,0,33.864781," ","integrate((a*x+1)/x**5/(a*x)**(1/2)/(-a*x+1)**(1/2),x)","a \left(\begin{cases} - \frac{32 a^{3} \sqrt{-1 + \frac{1}{a x}}}{35} - \frac{16 a^{2} \sqrt{-1 + \frac{1}{a x}}}{35 x} - \frac{12 a \sqrt{-1 + \frac{1}{a x}}}{35 x^{2}} - \frac{2 \sqrt{-1 + \frac{1}{a x}}}{7 x^{3}} & \text{for}\: \frac{1}{\left|{a x}\right|} > 1 \\- \frac{32 i a^{3} \sqrt{1 - \frac{1}{a x}}}{35} - \frac{16 i a^{2} \sqrt{1 - \frac{1}{a x}}}{35 x} - \frac{12 i a \sqrt{1 - \frac{1}{a x}}}{35 x^{2}} - \frac{2 i \sqrt{1 - \frac{1}{a x}}}{7 x^{3}} & \text{otherwise} \end{cases}\right) + \begin{cases} - \frac{256 a^{4} \sqrt{-1 + \frac{1}{a x}}}{315} - \frac{128 a^{3} \sqrt{-1 + \frac{1}{a x}}}{315 x} - \frac{32 a^{2} \sqrt{-1 + \frac{1}{a x}}}{105 x^{2}} - \frac{16 a \sqrt{-1 + \frac{1}{a x}}}{63 x^{3}} - \frac{2 \sqrt{-1 + \frac{1}{a x}}}{9 x^{4}} & \text{for}\: \frac{1}{\left|{a x}\right|} > 1 \\- \frac{256 i a^{4} \sqrt{1 - \frac{1}{a x}}}{315} - \frac{128 i a^{3} \sqrt{1 - \frac{1}{a x}}}{315 x} - \frac{32 i a^{2} \sqrt{1 - \frac{1}{a x}}}{105 x^{2}} - \frac{16 i a \sqrt{1 - \frac{1}{a x}}}{63 x^{3}} - \frac{2 i \sqrt{1 - \frac{1}{a x}}}{9 x^{4}} & \text{otherwise} \end{cases}"," ",0,"a*Piecewise((-32*a**3*sqrt(-1 + 1/(a*x))/35 - 16*a**2*sqrt(-1 + 1/(a*x))/(35*x) - 12*a*sqrt(-1 + 1/(a*x))/(35*x**2) - 2*sqrt(-1 + 1/(a*x))/(7*x**3), 1/Abs(a*x) > 1), (-32*I*a**3*sqrt(1 - 1/(a*x))/35 - 16*I*a**2*sqrt(1 - 1/(a*x))/(35*x) - 12*I*a*sqrt(1 - 1/(a*x))/(35*x**2) - 2*I*sqrt(1 - 1/(a*x))/(7*x**3), True)) + Piecewise((-256*a**4*sqrt(-1 + 1/(a*x))/315 - 128*a**3*sqrt(-1 + 1/(a*x))/(315*x) - 32*a**2*sqrt(-1 + 1/(a*x))/(105*x**2) - 16*a*sqrt(-1 + 1/(a*x))/(63*x**3) - 2*sqrt(-1 + 1/(a*x))/(9*x**4), 1/Abs(a*x) > 1), (-256*I*a**4*sqrt(1 - 1/(a*x))/315 - 128*I*a**3*sqrt(1 - 1/(a*x))/(315*x) - 32*I*a**2*sqrt(1 - 1/(a*x))/(105*x**2) - 16*I*a*sqrt(1 - 1/(a*x))/(63*x**3) - 2*I*sqrt(1 - 1/(a*x))/(9*x**4), True))","C",0
31,1,117,0,35.801401," ","integrate((2*a*x-1)/x**2/(-1+x)**(1/2)/(1+x)**(1/2),x)","- \frac{a {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{2 \pi^{\frac{3}{2}}} + \frac{i a {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{2 \pi^{\frac{3}{2}}} + \frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & \frac{3}{2}, \frac{3}{2}, 2 \\1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2 & 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, 1 &  \\\frac{3}{4}, \frac{5}{4} & \frac{1}{2}, 1, 1, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"-a*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), x**(-2))/(2*pi**(3/2)) + I*a*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), exp_polar(2*I*pi)/x**2)/(2*pi**(3/2)) + meijerg(((5/4, 7/4, 1), (3/2, 3/2, 2)), ((1, 5/4, 3/2, 7/4, 2), (0,)), x**(-2))/(4*pi**(3/2)) + I*meijerg(((1/2, 3/4, 1, 5/4, 3/2, 1), ()), ((3/4, 5/4), (1/2, 1, 1, 0)), exp_polar(2*I*pi)/x**2)/(4*pi**(3/2))","C",0
32,1,117,0,72.778369," ","integrate((a**2*x**2-(-a*x+1)**2)/x**2/(-1+x)**(1/2)/(1+x)**(1/2),x)","- \frac{a {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{2 \pi^{\frac{3}{2}}} + \frac{i a {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{2 \pi^{\frac{3}{2}}} + \frac{{G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & \frac{3}{2}, \frac{3}{2}, 2 \\1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2 & 0 \end{matrix} \middle| {\frac{1}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, 1 &  \\\frac{3}{4}, \frac{5}{4} & \frac{1}{2}, 1, 1, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"-a*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), x**(-2))/(2*pi**(3/2)) + I*a*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), exp_polar(2*I*pi)/x**2)/(2*pi**(3/2)) + meijerg(((5/4, 7/4, 1), (3/2, 3/2, 2)), ((1, 5/4, 3/2, 7/4, 2), (0,)), x**(-2))/(4*pi**(3/2)) + I*meijerg(((1/2, 3/4, 1, 5/4, 3/2, 1), ()), ((3/4, 5/4), (1/2, 1, 1, 0)), exp_polar(2*I*pi)/x**2)/(4*pi**(3/2))","C",0
33,-1,0,0,0.000000," ","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)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
34,-1,0,0,0.000000," ","integrate((B*x+A)/(b*x+a)**(1/2)/(d*x+c)**(1/2)/(e+b*(-1+e)*x/a)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,-1,0,0,0.000000," ","integrate((7+5*x)**3*(2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,-1,0,0,0.000000," ","integrate((7+5*x)**2*(2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,-1,0,0,0.000000," ","integrate((7+5*x)*(2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,0,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2),x)","\int \sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1}\, dx"," ",0,"Integral(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1), 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)","\int \frac{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1}}{5 x + 7}\, dx"," ",0,"Integral(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)/(5*x + 7), x)","F",0
40,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
41,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\sqrt{c + d x} \sqrt{e + f x} \sqrt{g + h x}}{a + b x}\, dx"," ",0,"Integral(sqrt(c + d*x)*sqrt(e + f*x)*sqrt(g + h*x)/(a + b*x), x)","F",0
44,-1,0,0,0.000000," ","integrate((7+5*x)**3*(2-3*x)**(1/2)*(1+4*x)**(1/2)/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
45,-1,0,0,0.000000," ","integrate((7+5*x)**2*(2-3*x)**(1/2)*(1+4*x)**(1/2)/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-1,0,0,0.000000," ","integrate((7+5*x)*(2-3*x)**(1/2)*(1+4*x)**(1/2)/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,0,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(1+4*x)**(1/2)/(-5+2*x)**(1/2),x)","\int \frac{\sqrt{2 - 3 x} \sqrt{4 x + 1}}{\sqrt{2 x - 5}}\, dx"," ",0,"Integral(sqrt(2 - 3*x)*sqrt(4*x + 1)/sqrt(2*x - 5), x)","F",0
48,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**2/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**3/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,-1,0,0,0.000000," ","integrate((7+5*x)**3*(2-3*x)**(1/2)/(-5+2*x)**(1/2)/(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\sqrt{2 - 3 x} \left(5 x + 7\right)^{2}}{\sqrt{2 x - 5} \sqrt{4 x + 1}}\, dx"," ",0,"Integral(sqrt(2 - 3*x)*(5*x + 7)**2/(sqrt(2*x - 5)*sqrt(4*x + 1)), 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)","\int \frac{\sqrt{2 - 3 x} \left(5 x + 7\right)}{\sqrt{2 x - 5} \sqrt{4 x + 1}}\, dx"," ",0,"Integral(sqrt(2 - 3*x)*(5*x + 7)/(sqrt(2*x - 5)*sqrt(4*x + 1)), 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)","\int \frac{\sqrt{2 - 3 x}}{\sqrt{2 x - 5} \sqrt{4 x + 1}}\, dx"," ",0,"Integral(sqrt(2 - 3*x)/(sqrt(2*x - 5)*sqrt(4*x + 1)), 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)","\int \frac{\sqrt{2 - 3 x}}{\sqrt{2 x - 5} \sqrt{4 x + 1} \left(5 x + 7\right)}\, dx"," ",0,"Integral(sqrt(2 - 3*x)/(sqrt(2*x - 5)*sqrt(4*x + 1)*(5*x + 7)), 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)","\int \frac{\sqrt{2 - 3 x}}{\sqrt{2 x - 5} \sqrt{4 x + 1} \left(5 x + 7\right)^{2}}\, dx"," ",0,"Integral(sqrt(2 - 3*x)/(sqrt(2*x - 5)*sqrt(4*x + 1)*(5*x + 7)**2), x)","F",0
57,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)/(7+5*x)**3/(-5+2*x)**(1/2)/(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\sqrt{c + d x}}{\left(a + b x\right) \sqrt{e + f x} \sqrt{g + h x}}\, dx"," ",0,"Integral(sqrt(c + d*x)/((a + b*x)*sqrt(e + f*x)*sqrt(g + h*x)), 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)","\int \frac{\left(c + d x\right)^{\frac{3}{2}}}{\left(a + b x\right) \sqrt{e + f x} \sqrt{g + h x}}\, dx"," ",0,"Integral((c + d*x)**(3/2)/((a + b*x)*sqrt(e + f*x)*sqrt(g + h*x)), 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)","\int \frac{\left(5 x + 7\right)^{4}}{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1}}\, dx"," ",0,"Integral((5*x + 7)**4/(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)), 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)","\int \frac{\left(5 x + 7\right)^{3}}{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1}}\, dx"," ",0,"Integral((5*x + 7)**3/(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)), 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)","\int \frac{\left(5 x + 7\right)^{2}}{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1}}\, dx"," ",0,"Integral((5*x + 7)**2/(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)), 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)","\int \frac{5 x + 7}{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1}}\, dx"," ",0,"Integral((5*x + 7)/(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)), 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)","\int \frac{1}{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1}}\, dx"," ",0,"Integral(1/(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)), 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)","\int \frac{1}{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1} \left(5 x + 7\right)}\, dx"," ",0,"Integral(1/(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)*(5*x + 7)), 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)","\int \frac{1}{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1} \left(5 x + 7\right)^{2}}\, dx"," ",0,"Integral(1/(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)*(5*x + 7)**2), x)","F",0
67,-1,0,0,0.000000," ","integrate(1/(7+5*x)**3/(2-3*x)**(1/2)/(-5+2*x)**(1/2)/(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","i \int \frac{\sqrt{c + d x}}{\sqrt{e + f x} \sqrt{g + h x}}\, dx"," ",0,"i*Integral(sqrt(c + d*x)/(sqrt(e + f*x)*sqrt(g + h*x)), 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)","\int \frac{a + b x}{\sqrt{c + d x} \sqrt{e + f x} \sqrt{g + h x}}\, dx"," ",0,"Integral((a + b*x)/(sqrt(c + d*x)*sqrt(e + f*x)*sqrt(g + h*x)), 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)","\int \frac{1}{\left(a + b x\right) \sqrt{c + d x} \sqrt{e + f x} \sqrt{g + h x}}\, dx"," ",0,"Integral(1/((a + b*x)*sqrt(c + d*x)*sqrt(e + f*x)*sqrt(g + h*x)), x)","F",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)","\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)","\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)","\int \frac{1}{\left(a + b x\right) \sqrt{c + d x} \sqrt{- f x + 1} \sqrt{f x + 1}}\, dx"," ",0,"Integral(1/((a + b*x)*sqrt(c + d*x)*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)","\int \frac{1}{\sqrt{- \left(f x - 1\right) \left(f x + 1\right)} \left(a + b x\right) \sqrt{c + d x}}\, dx"," ",0,"Integral(1/(sqrt(-(f*x - 1)*(f*x + 1))*(a + b*x)*sqrt(c + d*x)), 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)","\int \frac{1}{\left(a + b x\right) \sqrt{c + d x} \sqrt{- f^{2} x + 1} \sqrt{f^{2} x + 1}}\, dx"," ",0,"Integral(1/((a + b*x)*sqrt(c + d*x)*sqrt(-f**2*x + 1)*sqrt(f**2*x + 1)), 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)","\int \frac{1}{\sqrt{- \left(f^{2} x - 1\right) \left(f^{2} x + 1\right)} \left(a + b x\right) \sqrt{c + d x}}\, dx"," ",0,"Integral(1/(sqrt(-(f**2*x - 1)*(f**2*x + 1))*(a + b*x)*sqrt(c + d*x)), x)","F",0
77,-1,0,0,0.000000," ","integrate((7+5*x)**(5/2)*(2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate((7+5*x)**(3/2)*(2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1} \sqrt{5 x + 7}\, dx"," ",0,"Integral(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)*sqrt(5*x + 7), 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)","\int \frac{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1}}{\sqrt{5 x + 7}}\, dx"," ",0,"Integral(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)/sqrt(5*x + 7), x)","F",0
81,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(-5+2*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,-1,0,0,0.000000," ","integrate((7+5*x)**(5/2)*(2-3*x)**(1/2)*(1+4*x)**(1/2)/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,-1,0,0,0.000000," ","integrate((7+5*x)**(3/2)*(2-3*x)**(1/2)*(1+4*x)**(1/2)/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\sqrt{2 - 3 x} \sqrt{4 x + 1} \sqrt{5 x + 7}}{\sqrt{2 x - 5}}\, dx"," ",0,"Integral(sqrt(2 - 3*x)*sqrt(4*x + 1)*sqrt(5*x + 7)/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)","\int \frac{\sqrt{2 - 3 x} \sqrt{4 x + 1}}{\sqrt{2 x - 5} \sqrt{5 x + 7}}\, dx"," ",0,"Integral(sqrt(2 - 3*x)*sqrt(4*x + 1)/(sqrt(2*x - 5)*sqrt(5*x + 7)), x)","F",0
89,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**(3/2)/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
90,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**(5/2)/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**(7/2)/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
92,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)*(1+4*x)**(1/2)/(7+5*x)**(9/2)/(-5+2*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
93,-1,0,0,0.000000," ","integrate((7+5*x)**(5/2)*(2-3*x)**(1/2)/(-5+2*x)**(1/2)/(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate((7+5*x)**(3/2)*(2-3*x)**(1/2)/(-5+2*x)**(1/2)/(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\sqrt{2 - 3 x} \sqrt{5 x + 7}}{\sqrt{2 x - 5} \sqrt{4 x + 1}}\, dx"," ",0,"Integral(sqrt(2 - 3*x)*sqrt(5*x + 7)/(sqrt(2*x - 5)*sqrt(4*x + 1)), 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)","\int \frac{\sqrt{2 - 3 x}}{\sqrt{2 x - 5} \sqrt{4 x + 1} \sqrt{5 x + 7}}\, dx"," ",0,"Integral(sqrt(2 - 3*x)/(sqrt(2*x - 5)*sqrt(4*x + 1)*sqrt(5*x + 7)), x)","F",0
97,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)/(7+5*x)**(3/2)/(-5+2*x)**(1/2)/(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,-1,0,0,0.000000," ","integrate((2-3*x)**(1/2)/(7+5*x)**(5/2)/(-5+2*x)**(1/2)/(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\sqrt{a + b x} \sqrt{c + d x}}{\sqrt{e + f x} \sqrt{g + h x}}\, dx"," ",0,"Integral(sqrt(a + b*x)*sqrt(c + d*x)/(sqrt(e + f*x)*sqrt(g + h*x)), 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)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate((7+5*x)**(5/2)/(2-3*x)**(1/2)/(-5+2*x)**(1/2)/(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,-1,0,0,0.000000," ","integrate((7+5*x)**(3/2)/(2-3*x)**(1/2)/(-5+2*x)**(1/2)/(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\sqrt{5 x + 7}}{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1}}\, dx"," ",0,"Integral(sqrt(5*x + 7)/(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)), 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)","\int \frac{1}{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1} \sqrt{5 x + 7}}\, dx"," ",0,"Integral(1/(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)*sqrt(5*x + 7)), 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)","\int \frac{1}{\sqrt{2 - 3 x} \sqrt{2 x - 5} \sqrt{4 x + 1} \left(5 x + 7\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(1/(sqrt(2 - 3*x)*sqrt(2*x - 5)*sqrt(4*x + 1)*(5*x + 7)**(3/2)), x)","F",0
106,-1,0,0,0.000000," ","integrate(1/(7+5*x)**(5/2)/(2-3*x)**(1/2)/(-5+2*x)**(1/2)/(1+4*x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",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)","\int \frac{\left(a + b x\right)^{\frac{3}{2}}}{\sqrt{c + d x} \sqrt{e + f x} \sqrt{g + h x}}\, dx"," ",0,"Integral((a + b*x)**(3/2)/(sqrt(c + d*x)*sqrt(e + f*x)*sqrt(g + h*x)), 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)","\int \frac{\sqrt{a + b x}}{\sqrt{c + d x} \sqrt{e + f x} \sqrt{g + h x}}\, dx"," ",0,"Integral(sqrt(a + b*x)/(sqrt(c + d*x)*sqrt(e + f*x)*sqrt(g + h*x)), 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)","\int \frac{1}{\sqrt{a + b x} \sqrt{c + d x} \sqrt{e + f x} \sqrt{g + h x}}\, dx"," ",0,"Integral(1/(sqrt(a + b*x)*sqrt(c + d*x)*sqrt(e + f*x)*sqrt(g + h*x)), 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)","\int \frac{1}{\left(a + b x\right)^{\frac{3}{2}} \sqrt{c + d x} \sqrt{e + f x} \sqrt{g + h x}}\, dx"," ",0,"Integral(1/((a + b*x)**(3/2)*sqrt(c + d*x)*sqrt(e + f*x)*sqrt(g + h*x)), x)","F",0
111,-1,0,0,0.000000," ","integrate(1/(b*x+a)**(3/2)/(d*x+c)**(3/2)/(f*x+e)**(1/2)/(h*x+g)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,-2,0,0,0.000000," ","integrate(x**4*(f*x+e)**n/(b*x+a)/(d*x+c),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
113,0,0,0,0.000000," ","integrate(x**3*(f*x+e)**n/(b*x+a)/(d*x+c),x)","\int \frac{x^{3} \left(e + f x\right)^{n}}{\left(a + b x\right) \left(c + d x\right)}\, dx"," ",0,"Integral(x**3*(e + f*x)**n/((a + b*x)*(c + d*x)), x)","F",0
114,0,0,0,0.000000," ","integrate(x**2*(f*x+e)**n/(b*x+a)/(d*x+c),x)","\int \frac{x^{2} \left(e + f x\right)^{n}}{\left(a + b x\right) \left(c + d x\right)}\, dx"," ",0,"Integral(x**2*(e + f*x)**n/((a + b*x)*(c + d*x)), x)","F",0
115,0,0,0,0.000000," ","integrate(x*(f*x+e)**n/(b*x+a)/(d*x+c),x)","\int \frac{x \left(e + f x\right)^{n}}{\left(a + b x\right) \left(c + d x\right)}\, dx"," ",0,"Integral(x*(e + f*x)**n/((a + b*x)*(c + d*x)), x)","F",0
116,0,0,0,0.000000," ","integrate((f*x+e)**n/(b*x+a)/(d*x+c),x)","\int \frac{\left(e + f x\right)^{n}}{\left(a + b x\right) \left(c + d x\right)}\, dx"," ",0,"Integral((e + f*x)**n/((a + b*x)*(c + d*x)), x)","F",0
117,0,0,0,0.000000," ","integrate((f*x+e)**n/x/(b*x+a)/(d*x+c),x)","\int \frac{\left(e + f x\right)^{n}}{x \left(a + b x\right) \left(c + d x\right)}\, dx"," ",0,"Integral((e + f*x)**n/(x*(a + b*x)*(c + d*x)), x)","F",0
118,-1,0,0,0.000000," ","integrate((f*x+e)**n/x**2/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,1,8221,0,8.123737," ","integrate((b*x+a)**m*(d*x+c)*(f*x+e)*(h*x+g),x)","\begin{cases} a^{m} \left(c e g x + \frac{c e h x^{2}}{2} + \frac{c f g x^{2}}{2} + \frac{c f h x^{3}}{3} + \frac{d e g x^{2}}{2} + \frac{d e h x^{3}}{3} + \frac{d f g x^{3}}{3} + \frac{d f h x^{4}}{4}\right) & \text{for}\: b = 0 \\\frac{6 a^{3} d f h \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{11 a^{3} d f h}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{2 a^{2} b c f h}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{2 a^{2} b d e h}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{2 a^{2} b d f g}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a^{2} b d f h x \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{27 a^{2} b d f h x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{a b^{2} c e h}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{a b^{2} c f g}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{6 a b^{2} c f h x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{a b^{2} d e g}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{6 a b^{2} d e h x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{6 a b^{2} d f g x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a b^{2} d f h x^{2} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{18 a b^{2} d f h x^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{2 b^{3} c e g}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{3 b^{3} c e h x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{3 b^{3} c f g x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{6 b^{3} c f h x^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{3 b^{3} d e g x}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{6 b^{3} d e h x^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} - \frac{6 b^{3} d f g x^{2}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} + \frac{6 b^{3} d f h x^{3} \log{\left(\frac{a}{b} + x \right)}}{6 a^{3} b^{4} + 18 a^{2} b^{5} x + 18 a b^{6} x^{2} + 6 b^{7} x^{3}} & \text{for}\: m = -4 \\- \frac{6 a^{3} d f h \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{9 a^{3} d f h}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 a^{2} b c f h \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{3 a^{2} b c f h}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 a^{2} b d e h \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{3 a^{2} b d e h}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 a^{2} b d f g \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{3 a^{2} b d f g}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{12 a^{2} b d f h x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{12 a^{2} b d f h x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{a b^{2} c e h}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{a b^{2} c f g}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{4 a b^{2} c f h x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{4 a b^{2} c f h x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{a b^{2} d e g}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{4 a b^{2} d e h x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{4 a b^{2} d e h x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{4 a b^{2} d f g x \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{4 a b^{2} d f g x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{6 a b^{2} d f h x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{b^{3} c e g}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{2 b^{3} c e h x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{2 b^{3} c f g x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 b^{3} c f h x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} - \frac{2 b^{3} d e g x}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 b^{3} d e h x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 b^{3} d f g x^{2} \log{\left(\frac{a}{b} + x \right)}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} + \frac{2 b^{3} d f h x^{3}}{2 a^{2} b^{4} + 4 a b^{5} x + 2 b^{6} x^{2}} & \text{for}\: m = -3 \\\frac{6 a^{3} d f h \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{6 a^{3} d f h}{2 a b^{4} + 2 b^{5} x} - \frac{4 a^{2} b c f h \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{4 a^{2} b c f h}{2 a b^{4} + 2 b^{5} x} - \frac{4 a^{2} b d e h \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{4 a^{2} b d e h}{2 a b^{4} + 2 b^{5} x} - \frac{4 a^{2} b d f g \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{4 a^{2} b d f g}{2 a b^{4} + 2 b^{5} x} + \frac{6 a^{2} b d f h x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{2 a b^{2} c e h \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{2 a b^{2} c e h}{2 a b^{4} + 2 b^{5} x} + \frac{2 a b^{2} c f g \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{2 a b^{2} c f g}{2 a b^{4} + 2 b^{5} x} - \frac{4 a b^{2} c f h x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{2 a b^{2} d e g \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{2 a b^{2} d e g}{2 a b^{4} + 2 b^{5} x} - \frac{4 a b^{2} d e h x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{4 a b^{2} d f g x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} - \frac{3 a b^{2} d f h x^{2}}{2 a b^{4} + 2 b^{5} x} - \frac{2 b^{3} c e g}{2 a b^{4} + 2 b^{5} x} + \frac{2 b^{3} c e h x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{2 b^{3} c f g x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{2 b^{3} c f h x^{2}}{2 a b^{4} + 2 b^{5} x} + \frac{2 b^{3} d e g x \log{\left(\frac{a}{b} + x \right)}}{2 a b^{4} + 2 b^{5} x} + \frac{2 b^{3} d e h x^{2}}{2 a b^{4} + 2 b^{5} x} + \frac{2 b^{3} d f g x^{2}}{2 a b^{4} + 2 b^{5} x} + \frac{b^{3} d f h x^{3}}{2 a b^{4} + 2 b^{5} x} & \text{for}\: m = -2 \\- \frac{a^{3} d f h \log{\left(\frac{a}{b} + x \right)}}{b^{4}} + \frac{a^{2} c f h \log{\left(\frac{a}{b} + x \right)}}{b^{3}} + \frac{a^{2} d e h \log{\left(\frac{a}{b} + x \right)}}{b^{3}} + \frac{a^{2} d f g \log{\left(\frac{a}{b} + x \right)}}{b^{3}} + \frac{a^{2} d f h x}{b^{3}} - \frac{a c e h \log{\left(\frac{a}{b} + x \right)}}{b^{2}} - \frac{a c f g \log{\left(\frac{a}{b} + x \right)}}{b^{2}} - \frac{a c f h x}{b^{2}} - \frac{a d e g \log{\left(\frac{a}{b} + x \right)}}{b^{2}} - \frac{a d e h x}{b^{2}} - \frac{a d f g x}{b^{2}} - \frac{a d f h x^{2}}{2 b^{2}} + \frac{c e g \log{\left(\frac{a}{b} + x \right)}}{b} + \frac{c e h x}{b} + \frac{c f g x}{b} + \frac{c f h x^{2}}{2 b} + \frac{d e g x}{b} + \frac{d e h x^{2}}{2 b} + \frac{d f g x^{2}}{2 b} + \frac{d f h x^{3}}{3 b} & \text{for}\: m = -1 \\- \frac{6 a^{4} d f h \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{2 a^{3} b c f h m \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{8 a^{3} b c f h \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{2 a^{3} b d e h m \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{8 a^{3} b d e h \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{2 a^{3} b d f g m \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{8 a^{3} b d f g \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{6 a^{3} b d f h m x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{a^{2} b^{2} c e h m^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{7 a^{2} b^{2} c e h m \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{12 a^{2} b^{2} c e h \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{a^{2} b^{2} c f g m^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{7 a^{2} b^{2} c f g m \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{12 a^{2} b^{2} c f g \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{2 a^{2} b^{2} c f h m^{2} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{8 a^{2} b^{2} c f h m x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{a^{2} b^{2} d e g m^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{7 a^{2} b^{2} d e g m \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{12 a^{2} b^{2} d e g \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{2 a^{2} b^{2} d e h m^{2} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{8 a^{2} b^{2} d e h m x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{2 a^{2} b^{2} d f g m^{2} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{8 a^{2} b^{2} d f g m x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{3 a^{2} b^{2} d f h m^{2} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} - \frac{3 a^{2} b^{2} d f h m x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{a b^{3} c e g m^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{9 a b^{3} c e g m^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{26 a b^{3} c e g m \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{24 a b^{3} c e g \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{a b^{3} c e h m^{3} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{7 a b^{3} c e h m^{2} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{12 a b^{3} c e h m x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{a b^{3} c f g m^{3} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{7 a b^{3} c f g m^{2} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{12 a b^{3} c f g m x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{a b^{3} c f h m^{3} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{5 a b^{3} c f h m^{2} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{4 a b^{3} c f h m x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{a b^{3} d e g m^{3} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{7 a b^{3} d e g m^{2} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{12 a b^{3} d e g m x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{a b^{3} d e h m^{3} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{5 a b^{3} d e h m^{2} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{4 a b^{3} d e h m x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{a b^{3} d f g m^{3} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{5 a b^{3} d f g m^{2} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{4 a b^{3} d f g m x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{a b^{3} d f h m^{3} x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{3 a b^{3} d f h m^{2} x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{2 a b^{3} d f h m x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{b^{4} c e g m^{3} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{9 b^{4} c e g m^{2} x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{26 b^{4} c e g m x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{24 b^{4} c e g x \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{b^{4} c e h m^{3} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{8 b^{4} c e h m^{2} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{19 b^{4} c e h m x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{12 b^{4} c e h x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{b^{4} c f g m^{3} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{8 b^{4} c f g m^{2} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{19 b^{4} c f g m x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{12 b^{4} c f g x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{b^{4} c f h m^{3} x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{7 b^{4} c f h m^{2} x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{14 b^{4} c f h m x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{8 b^{4} c f h x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{b^{4} d e g m^{3} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{8 b^{4} d e g m^{2} x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{19 b^{4} d e g m x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{12 b^{4} d e g x^{2} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{b^{4} d e h m^{3} x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{7 b^{4} d e h m^{2} x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{14 b^{4} d e h m x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{8 b^{4} d e h x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{b^{4} d f g m^{3} x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{7 b^{4} d f g m^{2} x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{14 b^{4} d f g m x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{8 b^{4} d f g x^{3} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{b^{4} d f h m^{3} x^{4} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{6 b^{4} d f h m^{2} x^{4} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{11 b^{4} d f h m x^{4} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} + \frac{6 b^{4} d f h x^{4} \left(a + b x\right)^{m}}{b^{4} m^{4} + 10 b^{4} m^{3} + 35 b^{4} m^{2} + 50 b^{4} m + 24 b^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**m*(c*e*g*x + c*e*h*x**2/2 + c*f*g*x**2/2 + c*f*h*x**3/3 + d*e*g*x**2/2 + d*e*h*x**3/3 + d*f*g*x**3/3 + d*f*h*x**4/4), Eq(b, 0)), (6*a**3*d*f*h*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 11*a**3*d*f*h/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 2*a**2*b*c*f*h/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 2*a**2*b*d*e*h/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 2*a**2*b*d*f*g/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a**2*b*d*f*h*x*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 27*a**2*b*d*f*h*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - a*b**2*c*e*h/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - a*b**2*c*f*g/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 6*a*b**2*c*f*h*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - a*b**2*d*e*g/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 6*a*b**2*d*e*h*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 6*a*b**2*d*f*g*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a*b**2*d*f*h*x**2*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 18*a*b**2*d*f*h*x**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 2*b**3*c*e*g/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 3*b**3*c*e*h*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 3*b**3*c*f*g*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 6*b**3*c*f*h*x**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 3*b**3*d*e*g*x/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 6*b**3*d*e*h*x**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) - 6*b**3*d*f*g*x**2/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3) + 6*b**3*d*f*h*x**3*log(a/b + x)/(6*a**3*b**4 + 18*a**2*b**5*x + 18*a*b**6*x**2 + 6*b**7*x**3), Eq(m, -4)), (-6*a**3*d*f*h*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 9*a**3*d*f*h/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*a**2*b*c*f*h*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 3*a**2*b*c*f*h/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*a**2*b*d*e*h*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 3*a**2*b*d*e*h/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*a**2*b*d*f*g*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 3*a**2*b*d*f*g/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 12*a**2*b*d*f*h*x*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 12*a**2*b*d*f*h*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - a*b**2*c*e*h/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - a*b**2*c*f*g/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 4*a*b**2*c*f*h*x*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 4*a*b**2*c*f*h*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - a*b**2*d*e*g/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 4*a*b**2*d*e*h*x*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 4*a*b**2*d*e*h*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 4*a*b**2*d*f*g*x*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 4*a*b**2*d*f*g*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 6*a*b**2*d*f*h*x**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - b**3*c*e*g/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 2*b**3*c*e*h*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 2*b**3*c*f*g*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*b**3*c*f*h*x**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) - 2*b**3*d*e*g*x/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*b**3*d*e*h*x**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*b**3*d*f*g*x**2*log(a/b + x)/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2) + 2*b**3*d*f*h*x**3/(2*a**2*b**4 + 4*a*b**5*x + 2*b**6*x**2), Eq(m, -3)), (6*a**3*d*f*h*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 6*a**3*d*f*h/(2*a*b**4 + 2*b**5*x) - 4*a**2*b*c*f*h*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 4*a**2*b*c*f*h/(2*a*b**4 + 2*b**5*x) - 4*a**2*b*d*e*h*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 4*a**2*b*d*e*h/(2*a*b**4 + 2*b**5*x) - 4*a**2*b*d*f*g*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 4*a**2*b*d*f*g/(2*a*b**4 + 2*b**5*x) + 6*a**2*b*d*f*h*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 2*a*b**2*c*e*h*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 2*a*b**2*c*e*h/(2*a*b**4 + 2*b**5*x) + 2*a*b**2*c*f*g*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 2*a*b**2*c*f*g/(2*a*b**4 + 2*b**5*x) - 4*a*b**2*c*f*h*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 2*a*b**2*d*e*g*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 2*a*b**2*d*e*g/(2*a*b**4 + 2*b**5*x) - 4*a*b**2*d*e*h*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 4*a*b**2*d*f*g*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) - 3*a*b**2*d*f*h*x**2/(2*a*b**4 + 2*b**5*x) - 2*b**3*c*e*g/(2*a*b**4 + 2*b**5*x) + 2*b**3*c*e*h*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 2*b**3*c*f*g*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 2*b**3*c*f*h*x**2/(2*a*b**4 + 2*b**5*x) + 2*b**3*d*e*g*x*log(a/b + x)/(2*a*b**4 + 2*b**5*x) + 2*b**3*d*e*h*x**2/(2*a*b**4 + 2*b**5*x) + 2*b**3*d*f*g*x**2/(2*a*b**4 + 2*b**5*x) + b**3*d*f*h*x**3/(2*a*b**4 + 2*b**5*x), Eq(m, -2)), (-a**3*d*f*h*log(a/b + x)/b**4 + a**2*c*f*h*log(a/b + x)/b**3 + a**2*d*e*h*log(a/b + x)/b**3 + a**2*d*f*g*log(a/b + x)/b**3 + a**2*d*f*h*x/b**3 - a*c*e*h*log(a/b + x)/b**2 - a*c*f*g*log(a/b + x)/b**2 - a*c*f*h*x/b**2 - a*d*e*g*log(a/b + x)/b**2 - a*d*e*h*x/b**2 - a*d*f*g*x/b**2 - a*d*f*h*x**2/(2*b**2) + c*e*g*log(a/b + x)/b + c*e*h*x/b + c*f*g*x/b + c*f*h*x**2/(2*b) + d*e*g*x/b + d*e*h*x**2/(2*b) + d*f*g*x**2/(2*b) + d*f*h*x**3/(3*b), Eq(m, -1)), (-6*a**4*d*f*h*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 2*a**3*b*c*f*h*m*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 8*a**3*b*c*f*h*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 2*a**3*b*d*e*h*m*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 8*a**3*b*d*e*h*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 2*a**3*b*d*f*g*m*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 8*a**3*b*d*f*g*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 6*a**3*b*d*f*h*m*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - a**2*b**2*c*e*h*m**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 7*a**2*b**2*c*e*h*m*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 12*a**2*b**2*c*e*h*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - a**2*b**2*c*f*g*m**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 7*a**2*b**2*c*f*g*m*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 12*a**2*b**2*c*f*g*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 2*a**2*b**2*c*f*h*m**2*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 8*a**2*b**2*c*f*h*m*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - a**2*b**2*d*e*g*m**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 7*a**2*b**2*d*e*g*m*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 12*a**2*b**2*d*e*g*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 2*a**2*b**2*d*e*h*m**2*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 8*a**2*b**2*d*e*h*m*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 2*a**2*b**2*d*f*g*m**2*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 8*a**2*b**2*d*f*g*m*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 3*a**2*b**2*d*f*h*m**2*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) - 3*a**2*b**2*d*f*h*m*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + a*b**3*c*e*g*m**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 9*a*b**3*c*e*g*m**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 26*a*b**3*c*e*g*m*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 24*a*b**3*c*e*g*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + a*b**3*c*e*h*m**3*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 7*a*b**3*c*e*h*m**2*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 12*a*b**3*c*e*h*m*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + a*b**3*c*f*g*m**3*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 7*a*b**3*c*f*g*m**2*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 12*a*b**3*c*f*g*m*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + a*b**3*c*f*h*m**3*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 5*a*b**3*c*f*h*m**2*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 4*a*b**3*c*f*h*m*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + a*b**3*d*e*g*m**3*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 7*a*b**3*d*e*g*m**2*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 12*a*b**3*d*e*g*m*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + a*b**3*d*e*h*m**3*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 5*a*b**3*d*e*h*m**2*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 4*a*b**3*d*e*h*m*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + a*b**3*d*f*g*m**3*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 5*a*b**3*d*f*g*m**2*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 4*a*b**3*d*f*g*m*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + a*b**3*d*f*h*m**3*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 3*a*b**3*d*f*h*m**2*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 2*a*b**3*d*f*h*m*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + b**4*c*e*g*m**3*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 9*b**4*c*e*g*m**2*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 26*b**4*c*e*g*m*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 24*b**4*c*e*g*x*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + b**4*c*e*h*m**3*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 8*b**4*c*e*h*m**2*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 19*b**4*c*e*h*m*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 12*b**4*c*e*h*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + b**4*c*f*g*m**3*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 8*b**4*c*f*g*m**2*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 19*b**4*c*f*g*m*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 12*b**4*c*f*g*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + b**4*c*f*h*m**3*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 7*b**4*c*f*h*m**2*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 14*b**4*c*f*h*m*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 8*b**4*c*f*h*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + b**4*d*e*g*m**3*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 8*b**4*d*e*g*m**2*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 19*b**4*d*e*g*m*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 12*b**4*d*e*g*x**2*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + b**4*d*e*h*m**3*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 7*b**4*d*e*h*m**2*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 14*b**4*d*e*h*m*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 8*b**4*d*e*h*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + b**4*d*f*g*m**3*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 7*b**4*d*f*g*m**2*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 14*b**4*d*f*g*m*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 8*b**4*d*f*g*x**3*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + b**4*d*f*h*m**3*x**4*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 6*b**4*d*f*h*m**2*x**4*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 11*b**4*d*f*h*m*x**4*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4) + 6*b**4*d*f*h*x**4*(a + b*x)**m/(b**4*m**4 + 10*b**4*m**3 + 35*b**4*m**2 + 50*b**4*m + 24*b**4), True))","A",0
120,0,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)*(f*x+e)/(h*x+g),x)","\int \frac{\left(a + b x\right)^{m} \left(c + d x\right) \left(e + f x\right)}{g + h x}\, dx"," ",0,"Integral((a + b*x)**m*(c + d*x)*(e + f*x)/(g + h*x), x)","F",0
121,0,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)/(f*x+e)/(h*x+g),x)","\int \frac{\left(a + b x\right)^{m} \left(c + d x\right)}{\left(e + f x\right) \left(g + h x\right)}\, dx"," ",0,"Integral((a + b*x)**m*(c + d*x)/((e + f*x)*(g + h*x)), x)","F",0
122,-2,0,0,0.000000," ","integrate((b*x+a)**m/(d*x+c)/(f*x+e)/(h*x+g),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
123,-2,0,0,0.000000," ","integrate(x**m*(f*x+e)**n/(b*x+a)/(d*x+c),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
124,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)*(h*x+g),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
125,-2,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(1-m)*(f*x+e)*(h*x+g),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
126,-2,0,0,0.000000," ","integrate((b*x+a)**m*(f*x+e)*(h*x+g)/((d*x+c)**m),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
127,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-1-m)*(f*x+e)*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-2-m)*(f*x+e)*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-3-m)*(f*x+e)*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-4-m)*(f*x+e)*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-5-m)*(f*x+e)*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate((b*x+a)**3*(d*x+c)**(-4-m)*(f*x+e)**m*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,-1,0,0,0.000000," ","integrate((b*x+a)**2*(d*x+c)**(-4-m)*(f*x+e)**m*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,-1,0,0,0.000000," ","integrate((b*x+a)*(d*x+c)**(-4-m)*(f*x+e)**m*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,-1,0,0,0.000000," ","integrate((d*x+c)**(-4-m)*(f*x+e)**m*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,-1,0,0,0.000000," ","integrate((B*x+A)*(d*x+c)**n*(f*x+e)**p/(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,-2,0,0,0.000000," ","integrate((b*x+a)**m*(B*x+A)/((d*x+c)**m)/(f*x+e),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
138,-2,0,0,0.000000," ","integrate((B*x+A)*(d*x+c)**n*(f*x+e)**p/(b*x+a)**(1/2),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",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)","\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)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
141,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**p*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
142,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**p/(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
144,-1,0,0,0.000000," ","integrate((b*x+a)**m*(B*x+A)*(d*x+c)**n*(f*x+e)**(-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
145,-1,0,0,0.000000," ","integrate((b*x+a)**m*(B*x+A)*(d*x+c)**n*(f*x+e)**(-1-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
146,-1,0,0,0.000000," ","integrate((b*x+a)**m*(B*x+A)*(d*x+c)**n*(f*x+e)**(-2-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
147,-1,0,0,0.000000," ","integrate((b*x+a)**m*(B*x+A)*(d*x+c)**n*(f*x+e)**(-3-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
148,-1,0,0,0.000000," ","integrate((b*x+a)**m*(B*x+A)*(d*x+c)**n*(f*x+e)**(-4-m-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
149,1,313,0,82.403158," ","integrate(x*(c*x**2+b*x+a)/(-d*x+1)**(1/2)/(d*x+1)**(1/2),x)","- \frac{i a {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} & 0, 0, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} - \frac{a {G_{6, 6}^{2, 6}\left(\begin{matrix} -1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 1 &  \\- \frac{3}{4}, - \frac{1}{4} & -1, - \frac{1}{2}, - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} - \frac{i b {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{4} & - \frac{1}{2}, - \frac{1}{2}, 0, 1 \\-1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{3}} + \frac{b {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 1 &  \\- \frac{5}{4}, - \frac{3}{4} & - \frac{3}{2}, -1, -1, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{3}} - \frac{i c {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{5}{4}, - \frac{3}{4} & -1, -1, - \frac{1}{2}, 1 \\- \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{4}} - \frac{c {G_{6, 6}^{2, 6}\left(\begin{matrix} -2, - \frac{7}{4}, - \frac{3}{2}, - \frac{5}{4}, -1, 1 &  \\- \frac{7}{4}, - \frac{5}{4} & -2, - \frac{3}{2}, - \frac{3}{2}, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{4}}"," ",0,"-I*a*meijerg(((-1/4, 1/4), (0, 0, 1/2, 1)), ((-1/2, -1/4, 0, 1/4, 1/2, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**2) - a*meijerg(((-1, -3/4, -1/2, -1/4, 0, 1), ()), ((-3/4, -1/4), (-1, -1/2, -1/2, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**2) - I*b*meijerg(((-3/4, -1/4), (-1/2, -1/2, 0, 1)), ((-1, -3/4, -1/2, -1/4, 0, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**3) + b*meijerg(((-3/2, -5/4, -1, -3/4, -1/2, 1), ()), ((-5/4, -3/4), (-3/2, -1, -1, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**3) - I*c*meijerg(((-5/4, -3/4), (-1, -1, -1/2, 1)), ((-3/2, -5/4, -1, -3/4, -1/2, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**4) - c*meijerg(((-2, -7/4, -3/2, -5/4, -1, 1), ()), ((-7/4, -5/4), (-2, -3/2, -3/2, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**4)","C",0
150,1,282,0,49.785972," ","integrate((c*x**2+b*x+a)/(-d*x+1)**(1/2)/(d*x+1)**(1/2),x)","- \frac{i a {G_{6, 6}^{6, 2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} & \frac{1}{2}, \frac{1}{2}, 1, 1 \\0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} + \frac{a {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 1 &  \\- \frac{1}{4}, \frac{1}{4} & - \frac{1}{2}, 0, 0, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} - \frac{i b {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} & 0, 0, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} - \frac{b {G_{6, 6}^{2, 6}\left(\begin{matrix} -1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 1 &  \\- \frac{3}{4}, - \frac{1}{4} & -1, - \frac{1}{2}, - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} - \frac{i c {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{4} & - \frac{1}{2}, - \frac{1}{2}, 0, 1 \\-1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{3}} + \frac{c {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 1 &  \\- \frac{5}{4}, - \frac{3}{4} & - \frac{3}{2}, -1, -1, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{3}}"," ",0,"-I*a*meijerg(((1/4, 3/4), (1/2, 1/2, 1, 1)), ((0, 1/4, 1/2, 3/4, 1, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d) + a*meijerg(((-1/2, -1/4, 0, 1/4, 1/2, 1), ()), ((-1/4, 1/4), (-1/2, 0, 0, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d) - I*b*meijerg(((-1/4, 1/4), (0, 0, 1/2, 1)), ((-1/2, -1/4, 0, 1/4, 1/2, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**2) - b*meijerg(((-1, -3/4, -1/2, -1/4, 0, 1), ()), ((-3/4, -1/4), (-1, -1/2, -1/2, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**2) - I*c*meijerg(((-3/4, -1/4), (-1/2, -1/2, 0, 1)), ((-1, -3/4, -1/2, -1/4, 0, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**3) + c*meijerg(((-3/2, -5/4, -1, -3/4, -1/2, 1), ()), ((-5/4, -3/4), (-3/2, -1, -1, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**3)","C",0
151,1,245,0,55.199460," ","integrate((c*x**2+b*x+a)/x/(-d*x+1)**(1/2)/(d*x+1)**(1/2),x)","\frac{i a {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{a {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{i b {G_{6, 6}^{6, 2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} & \frac{1}{2}, \frac{1}{2}, 1, 1 \\0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} + \frac{b {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 1 &  \\- \frac{1}{4}, \frac{1}{4} & - \frac{1}{2}, 0, 0, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} - \frac{i c {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} & 0, 0, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} - \frac{c {G_{6, 6}^{2, 6}\left(\begin{matrix} -1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 1 &  \\- \frac{3}{4}, - \frac{1}{4} & -1, - \frac{1}{2}, - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}}"," ",0,"I*a*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) - a*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) - I*b*meijerg(((1/4, 3/4), (1/2, 1/2, 1, 1)), ((0, 1/4, 1/2, 3/4, 1, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d) + b*meijerg(((-1/2, -1/4, 0, 1/4, 1/2, 1), ()), ((-1/4, 1/4), (-1/2, 0, 0, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d) - I*c*meijerg(((-1/4, 1/4), (0, 0, 1/2, 1)), ((-1/2, -1/4, 0, 1/4, 1/2, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**2) - c*meijerg(((-1, -3/4, -1/2, -1/4, 0, 1), ()), ((-3/4, -1/4), (-1, -1/2, -1/2, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**2)","C",0
152,1,221,0,49.853333," ","integrate((c*x**2+b*x+a)/x**2/(-d*x+1)**(1/2)/(d*x+1)**(1/2),x)","\frac{i a d {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & \frac{3}{2}, \frac{3}{2}, 2 \\1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2 & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{a d {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, 1 &  \\\frac{3}{4}, \frac{5}{4} & \frac{1}{2}, 1, 1, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i b {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{b {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{i c {G_{6, 6}^{6, 2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} & \frac{1}{2}, \frac{1}{2}, 1, 1 \\0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} + \frac{c {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 1 &  \\- \frac{1}{4}, \frac{1}{4} & - \frac{1}{2}, 0, 0, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d}"," ",0,"I*a*d*meijerg(((5/4, 7/4, 1), (3/2, 3/2, 2)), ((1, 5/4, 3/2, 7/4, 2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) + a*d*meijerg(((1/2, 3/4, 1, 5/4, 3/2, 1), ()), ((3/4, 5/4), (1/2, 1, 1, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) + I*b*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) - b*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) - I*c*meijerg(((1/4, 3/4), (1/2, 1/2, 1, 1)), ((0, 1/4, 1/2, 3/4, 1, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d) + c*meijerg(((-1/2, -1/4, 0, 1/4, 1/2, 1), ()), ((-1/4, 1/4), (-1/2, 0, 0, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d)","C",0
153,1,218,0,80.292787," ","integrate((c*x**2+b*x+a)/x**3/(-d*x+1)**(1/2)/(d*x+1)**(1/2),x)","\frac{i a d^{2} {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{7}{4}, \frac{9}{4}, 1 & 2, 2, \frac{5}{2} \\\frac{3}{2}, \frac{7}{4}, 2, \frac{9}{4}, \frac{5}{2} & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{a d^{2} {G_{6, 6}^{2, 6}\left(\begin{matrix} 1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2, 1 &  \\\frac{5}{4}, \frac{7}{4} & 1, \frac{3}{2}, \frac{3}{2}, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i b d {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & \frac{3}{2}, \frac{3}{2}, 2 \\1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2 & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{b d {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, 1 &  \\\frac{3}{4}, \frac{5}{4} & \frac{1}{2}, 1, 1, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i c {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{c {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{- 2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"I*a*d**2*meijerg(((7/4, 9/4, 1), (2, 2, 5/2)), ((3/2, 7/4, 2, 9/4, 5/2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) - a*d**2*meijerg(((1, 5/4, 3/2, 7/4, 2, 1), ()), ((5/4, 7/4), (1, 3/2, 3/2, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) + I*b*d*meijerg(((5/4, 7/4, 1), (3/2, 3/2, 2)), ((1, 5/4, 3/2, 7/4, 2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) + b*d*meijerg(((1/2, 3/4, 1, 5/4, 3/2, 1), ()), ((3/4, 5/4), (1/2, 1, 1, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) + I*c*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) - c*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), exp_polar(-2*I*pi)/(d**2*x**2))/(4*pi**(3/2))","C",0
154,1,308,0,78.825024," ","integrate(x*(c*x**2+b*x+a)/(d*x-1)**(1/2)/(d*x+1)**(1/2),x)","\frac{a {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} & 0, 0, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} + \frac{i a {G_{6, 6}^{2, 6}\left(\begin{matrix} -1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 1 &  \\- \frac{3}{4}, - \frac{1}{4} & -1, - \frac{1}{2}, - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} + \frac{b {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{4} & - \frac{1}{2}, - \frac{1}{2}, 0, 1 \\-1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{3}} - \frac{i b {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 1 &  \\- \frac{5}{4}, - \frac{3}{4} & - \frac{3}{2}, -1, -1, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{3}} + \frac{c {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{5}{4}, - \frac{3}{4} & -1, -1, - \frac{1}{2}, 1 \\- \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{4}} + \frac{i c {G_{6, 6}^{2, 6}\left(\begin{matrix} -2, - \frac{7}{4}, - \frac{3}{2}, - \frac{5}{4}, -1, 1 &  \\- \frac{7}{4}, - \frac{5}{4} & -2, - \frac{3}{2}, - \frac{3}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{4}}"," ",0,"a*meijerg(((-1/4, 1/4), (0, 0, 1/2, 1)), ((-1/2, -1/4, 0, 1/4, 1/2, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**2) + I*a*meijerg(((-1, -3/4, -1/2, -1/4, 0, 1), ()), ((-3/4, -1/4), (-1, -1/2, -1/2, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**2) + b*meijerg(((-3/4, -1/4), (-1/2, -1/2, 0, 1)), ((-1, -3/4, -1/2, -1/4, 0, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**3) - I*b*meijerg(((-3/2, -5/4, -1, -3/4, -1/2, 1), ()), ((-5/4, -3/4), (-3/2, -1, -1, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**3) + c*meijerg(((-5/4, -3/4), (-1, -1, -1/2, 1)), ((-3/2, -5/4, -1, -3/4, -1/2, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**4) + I*c*meijerg(((-2, -7/4, -3/2, -5/4, -1, 1), ()), ((-7/4, -5/4), (-2, -3/2, -3/2, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**4)","C",0
155,1,277,0,48.291765," ","integrate((c*x**2+b*x+a)/(d*x-1)**(1/2)/(d*x+1)**(1/2),x)","\frac{a {G_{6, 6}^{6, 2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} & \frac{1}{2}, \frac{1}{2}, 1, 1 \\0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} - \frac{i a {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 1 &  \\- \frac{1}{4}, \frac{1}{4} & - \frac{1}{2}, 0, 0, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} + \frac{b {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} & 0, 0, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} + \frac{i b {G_{6, 6}^{2, 6}\left(\begin{matrix} -1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 1 &  \\- \frac{3}{4}, - \frac{1}{4} & -1, - \frac{1}{2}, - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} + \frac{c {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{3}{4}, - \frac{1}{4} & - \frac{1}{2}, - \frac{1}{2}, 0, 1 \\-1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{3}} - \frac{i c {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{3}{2}, - \frac{5}{4}, -1, - \frac{3}{4}, - \frac{1}{2}, 1 &  \\- \frac{5}{4}, - \frac{3}{4} & - \frac{3}{2}, -1, -1, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{3}}"," ",0,"a*meijerg(((1/4, 3/4), (1/2, 1/2, 1, 1)), ((0, 1/4, 1/2, 3/4, 1, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d) - I*a*meijerg(((-1/2, -1/4, 0, 1/4, 1/2, 1), ()), ((-1/4, 1/4), (-1/2, 0, 0, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d) + b*meijerg(((-1/4, 1/4), (0, 0, 1/2, 1)), ((-1/2, -1/4, 0, 1/4, 1/2, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**2) + I*b*meijerg(((-1, -3/4, -1/2, -1/4, 0, 1), ()), ((-3/4, -1/4), (-1, -1/2, -1/2, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**2) + c*meijerg(((-3/4, -1/4), (-1/2, -1/2, 0, 1)), ((-1, -3/4, -1/2, -1/4, 0, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**3) - I*c*meijerg(((-3/2, -5/4, -1, -3/4, -1/2, 1), ()), ((-5/4, -3/4), (-3/2, -1, -1, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**3)","C",0
156,1,240,0,47.403426," ","integrate((c*x**2+b*x+a)/x/(d*x-1)**(1/2)/(d*x+1)**(1/2),x)","- \frac{a {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i a {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{b {G_{6, 6}^{6, 2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} & \frac{1}{2}, \frac{1}{2}, 1, 1 \\0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} - \frac{i b {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 1 &  \\- \frac{1}{4}, \frac{1}{4} & - \frac{1}{2}, 0, 0, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} + \frac{c {G_{6, 6}^{6, 2}\left(\begin{matrix} - \frac{1}{4}, \frac{1}{4} & 0, 0, \frac{1}{2}, 1 \\- \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}} + \frac{i c {G_{6, 6}^{2, 6}\left(\begin{matrix} -1, - \frac{3}{4}, - \frac{1}{2}, - \frac{1}{4}, 0, 1 &  \\- \frac{3}{4}, - \frac{1}{4} & -1, - \frac{1}{2}, - \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d^{2}}"," ",0,"-a*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) + I*a*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) + b*meijerg(((1/4, 3/4), (1/2, 1/2, 1, 1)), ((0, 1/4, 1/2, 3/4, 1, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d) - I*b*meijerg(((-1/2, -1/4, 0, 1/4, 1/2, 1), ()), ((-1/4, 1/4), (-1/2, 0, 0, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d) + c*meijerg(((-1/4, 1/4), (0, 0, 1/2, 1)), ((-1/2, -1/4, 0, 1/4, 1/2, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d**2) + I*c*meijerg(((-1, -3/4, -1/2, -1/4, 0, 1), ()), ((-3/4, -1/4), (-1, -1/2, -1/2, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d**2)","C",0
157,1,216,0,45.925146," ","integrate((c*x**2+b*x+a)/x**2/(d*x-1)**(1/2)/(d*x+1)**(1/2),x)","- \frac{a d {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & \frac{3}{2}, \frac{3}{2}, 2 \\1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2 & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{i a d {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, 1 &  \\\frac{3}{4}, \frac{5}{4} & \frac{1}{2}, 1, 1, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{b {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i b {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{c {G_{6, 6}^{6, 2}\left(\begin{matrix} \frac{1}{4}, \frac{3}{4} & \frac{1}{2}, \frac{1}{2}, 1, 1 \\0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 0 &  \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d} - \frac{i c {G_{6, 6}^{2, 6}\left(\begin{matrix} - \frac{1}{2}, - \frac{1}{4}, 0, \frac{1}{4}, \frac{1}{2}, 1 &  \\- \frac{1}{4}, \frac{1}{4} & - \frac{1}{2}, 0, 0, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}} d}"," ",0,"-a*d*meijerg(((5/4, 7/4, 1), (3/2, 3/2, 2)), ((1, 5/4, 3/2, 7/4, 2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) - I*a*d*meijerg(((1/2, 3/4, 1, 5/4, 3/2, 1), ()), ((3/4, 5/4), (1/2, 1, 1, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) - b*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) + I*b*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) + c*meijerg(((1/4, 3/4), (1/2, 1/2, 1, 1)), ((0, 1/4, 1/2, 3/4, 1, 0), ()), 1/(d**2*x**2))/(4*pi**(3/2)*d) - I*c*meijerg(((-1/2, -1/4, 0, 1/4, 1/2, 1), ()), ((-1/4, 1/4), (-1/2, 0, 0, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)*d)","C",0
158,1,212,0,74.795461," ","integrate((c*x**2+b*x+a)/x**3/(d*x-1)**(1/2)/(d*x+1)**(1/2),x)","- \frac{a d^{2} {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{7}{4}, \frac{9}{4}, 1 & 2, 2, \frac{5}{2} \\\frac{3}{2}, \frac{7}{4}, 2, \frac{9}{4}, \frac{5}{2} & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i a d^{2} {G_{6, 6}^{2, 6}\left(\begin{matrix} 1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2, 1 &  \\\frac{5}{4}, \frac{7}{4} & 1, \frac{3}{2}, \frac{3}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{b d {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & \frac{3}{2}, \frac{3}{2}, 2 \\1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2 & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{i b d {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, 1 &  \\\frac{3}{4}, \frac{5}{4} & \frac{1}{2}, 1, 1, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{c {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{3}{4}, \frac{5}{4}, 1 & 1, 1, \frac{3}{2} \\\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2} & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i c {G_{6, 6}^{2, 6}\left(\begin{matrix} 0, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}, 1, 1 &  \\\frac{1}{4}, \frac{3}{4} & 0, \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"-a*d**2*meijerg(((7/4, 9/4, 1), (2, 2, 5/2)), ((3/2, 7/4, 2, 9/4, 5/2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) + I*a*d**2*meijerg(((1, 5/4, 3/2, 7/4, 2, 1), ()), ((5/4, 7/4), (1, 3/2, 3/2, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) - b*d*meijerg(((5/4, 7/4, 1), (3/2, 3/2, 2)), ((1, 5/4, 3/2, 7/4, 2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) - I*b*d*meijerg(((1/2, 3/4, 1, 5/4, 3/2, 1), ()), ((3/4, 5/4), (1/2, 1, 1, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) - c*meijerg(((3/4, 5/4, 1), (1, 1, 3/2)), ((1/2, 3/4, 1, 5/4, 3/2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) + I*c*meijerg(((0, 1/4, 1/2, 3/4, 1, 1), ()), ((1/4, 3/4), (0, 1/2, 1/2, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2))","C",0
159,1,219,0,129.781641," ","integrate((c*x**2+b*x+a)/x**4/(d*x-1)**(1/2)/(d*x+1)**(1/2),x)","- \frac{a d^{3} {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{9}{4}, \frac{11}{4}, 1 & \frac{5}{2}, \frac{5}{2}, 3 \\2, \frac{9}{4}, \frac{5}{2}, \frac{11}{4}, 3 & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{i a d^{3} {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{3}{2}, \frac{7}{4}, 2, \frac{9}{4}, \frac{5}{2}, 1 &  \\\frac{7}{4}, \frac{9}{4} & \frac{3}{2}, 2, 2, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{b d^{2} {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{7}{4}, \frac{9}{4}, 1 & 2, 2, \frac{5}{2} \\\frac{3}{2}, \frac{7}{4}, 2, \frac{9}{4}, \frac{5}{2} & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} + \frac{i b d^{2} {G_{6, 6}^{2, 6}\left(\begin{matrix} 1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2, 1 &  \\\frac{5}{4}, \frac{7}{4} & 1, \frac{3}{2}, \frac{3}{2}, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{c d {G_{6, 6}^{5, 3}\left(\begin{matrix} \frac{5}{4}, \frac{7}{4}, 1 & \frac{3}{2}, \frac{3}{2}, 2 \\1, \frac{5}{4}, \frac{3}{2}, \frac{7}{4}, 2 & 0 \end{matrix} \middle| {\frac{1}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}} - \frac{i c d {G_{6, 6}^{2, 6}\left(\begin{matrix} \frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, 1 &  \\\frac{3}{4}, \frac{5}{4} & \frac{1}{2}, 1, 1, 0 \end{matrix} \middle| {\frac{e^{2 i \pi}}{d^{2} x^{2}}} \right)}}{4 \pi^{\frac{3}{2}}}"," ",0,"-a*d**3*meijerg(((9/4, 11/4, 1), (5/2, 5/2, 3)), ((2, 9/4, 5/2, 11/4, 3), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) - I*a*d**3*meijerg(((3/2, 7/4, 2, 9/4, 5/2, 1), ()), ((7/4, 9/4), (3/2, 2, 2, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) - b*d**2*meijerg(((7/4, 9/4, 1), (2, 2, 5/2)), ((3/2, 7/4, 2, 9/4, 5/2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) + I*b*d**2*meijerg(((1, 5/4, 3/2, 7/4, 2, 1), ()), ((5/4, 7/4), (1, 3/2, 3/2, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2)) - c*d*meijerg(((5/4, 7/4, 1), (3/2, 3/2, 2)), ((1, 5/4, 3/2, 7/4, 2), (0,)), 1/(d**2*x**2))/(4*pi**(3/2)) - I*c*d*meijerg(((1/2, 3/4, 1, 5/4, 3/2, 1), ()), ((3/4, 5/4), (1/2, 1, 1, 0)), exp_polar(2*I*pi)/(d**2*x**2))/(4*pi**(3/2))","C",0
