1,1,109,104,0.001000," ","int((b*x+a)*(d*x+c)*(f*x+e)*(h*x+g),x)","\frac{b d f h \,x^{5}}{5}+a c e g x +\frac{\left(b d f g +\left(b d e +\left(a d +b c \right) f \right) h \right) x^{4}}{4}+\frac{\left(\left(b d e +\left(a d +b c \right) f \right) g +\left(a c f +\left(a d +b c \right) e \right) h \right) x^{3}}{3}+\frac{\left(a c e h +\left(a c f +\left(a d +b c \right) e \right) g \right) x^{2}}{2}"," ",0,"1/5*b*d*f*h*x^5+1/4*(((a*d+b*c)*f+b*d*e)*h+b*d*f*g)*x^4+1/3*((a*c*f+(a*d+b*c)*e)*h+((a*d+b*c)*f+b*d*e)*g)*x^3+1/2*(a*c*e*h+(a*c*f+(a*d+b*c)*e)*g)*x^2+a*c*e*g*x","A"
2,1,246,122,0.005000," ","int((b*x+a)*(d*x+c)*(f*x+e)/(h*x+g),x)","\frac{b d f \,x^{3}}{3 h}+\frac{a d f \,x^{2}}{2 h}+\frac{b c f \,x^{2}}{2 h}+\frac{b d e \,x^{2}}{2 h}-\frac{b d f g \,x^{2}}{2 h^{2}}+\frac{a c e \ln \left(h x +g \right)}{h}-\frac{a c f g \ln \left(h x +g \right)}{h^{2}}+\frac{a c f x}{h}-\frac{a d e g \ln \left(h x +g \right)}{h^{2}}+\frac{a d e x}{h}+\frac{a d f \,g^{2} \ln \left(h x +g \right)}{h^{3}}-\frac{a d f g x}{h^{2}}-\frac{b c e g \ln \left(h x +g \right)}{h^{2}}+\frac{b c e x}{h}+\frac{b c f \,g^{2} \ln \left(h x +g \right)}{h^{3}}-\frac{b c f g x}{h^{2}}+\frac{b d e \,g^{2} \ln \left(h x +g \right)}{h^{3}}-\frac{b d e g x}{h^{2}}-\frac{b d f \,g^{3} \ln \left(h x +g \right)}{h^{4}}+\frac{b d f \,g^{2} x}{h^{3}}"," ",0,"1/3*b*d*f*x^3/h+1/2/h*x^2*a*d*f+1/2/h*x^2*b*c*f+1/2/h*x^2*b*d*e-1/2/h^2*x^2*b*d*f*g+1/h*x*a*c*f+1/h*x*a*d*e-1/h^2*x*a*d*f*g+1/h*x*b*c*e-1/h^2*x*b*c*f*g-1/h^2*x*b*d*e*g+1/h^3*x*b*d*f*g^2+1/h*ln(h*x+g)*a*c*e-1/h^2*ln(h*x+g)*a*c*f*g-1/h^2*ln(h*x+g)*a*d*e*g+1/h^3*ln(h*x+g)*a*d*f*g^2-1/h^2*ln(h*x+g)*b*c*e*g+1/h^3*ln(h*x+g)*b*c*f*g^2+1/h^3*ln(h*x+g)*b*d*e*g^2-1/h^4*ln(h*x+g)*b*d*f*g^3","B"
3,1,196,84,0.009000," ","int((b*x+a)*(d*x+c)/(f*x+e)/(h*x+g),x)","-\frac{a c \ln \left(f x +e \right)}{e h -f g}+\frac{a c \ln \left(h x +g \right)}{e h -f g}+\frac{a d e \ln \left(f x +e \right)}{\left(e h -f g \right) f}-\frac{a d g \ln \left(h x +g \right)}{\left(e h -f g \right) h}+\frac{b c e \ln \left(f x +e \right)}{\left(e h -f g \right) f}-\frac{b c g \ln \left(h x +g \right)}{\left(e h -f g \right) h}-\frac{b d \,e^{2} \ln \left(f x +e \right)}{\left(e h -f g \right) f^{2}}+\frac{b d \,g^{2} \ln \left(h x +g \right)}{\left(e h -f g \right) h^{2}}+\frac{b d x}{f h}"," ",0,"b*d*x/f/h+1/(e*h-f*g)*ln(h*x+g)*a*c-1/h/(e*h-f*g)*ln(h*x+g)*a*d*g-1/h/(e*h-f*g)*ln(h*x+g)*b*c*g+1/h^2/(e*h-f*g)*ln(h*x+g)*b*d*g^2-1/(e*h-f*g)*ln(f*x+e)*a*c+1/f/(e*h-f*g)*ln(f*x+e)*a*d*e+1/f/(e*h-f*g)*ln(f*x+e)*b*c*e-1/f^2/(e*h-f*g)*ln(f*x+e)*b*d*e^2","B"
4,1,179,108,0.010000," ","int((b*x+a)/(d*x+c)/(f*x+e)/(h*x+g),x)","\frac{a d \ln \left(d x +c \right)}{\left(c f -d e \right) \left(c h -d g \right)}-\frac{a f \ln \left(f x +e \right)}{\left(c f -d e \right) \left(e h -f g \right)}+\frac{a h \ln \left(h x +g \right)}{\left(c h -d g \right) \left(e h -f g \right)}-\frac{b c \ln \left(d x +c \right)}{\left(c f -d e \right) \left(c h -d g \right)}+\frac{b e \ln \left(f x +e \right)}{\left(c f -d e \right) \left(e h -f g \right)}-\frac{b g \ln \left(h x +g \right)}{\left(c h -d g \right) \left(e h -f g \right)}"," ",0,"1/(c*f-d*e)/(c*h-d*g)*ln(d*x+c)*a*d-1/(c*f-d*e)/(c*h-d*g)*ln(d*x+c)*b*c+1/(c*h-d*g)/(e*h-f*g)*ln(h*x+g)*a*h-1/(c*h-d*g)/(e*h-f*g)*ln(h*x+g)*b*g-1/(c*f-d*e)/(e*h-f*g)*ln(f*x+e)*a*f+1/(c*f-d*e)/(e*h-f*g)*ln(f*x+e)*b*e","A"
5,1,164,163,0.010000," ","int(1/(b*x+a)/(d*x+c)/(f*x+e)/(h*x+g),x)","-\frac{b^{2} \ln \left(b x +a \right)}{\left(a d -b c \right) \left(a f -b e \right) \left(a h -b g \right)}+\frac{d^{2} \ln \left(d x +c \right)}{\left(a d -b c \right) \left(c f -d e \right) \left(c h -d g \right)}-\frac{f^{2} \ln \left(f x +e \right)}{\left(c f -d e \right) \left(e h -f g \right) \left(a f -b e \right)}+\frac{h^{2} \ln \left(h x +g \right)}{\left(c h -d g \right) \left(a h -b g \right) \left(e h -f g \right)}"," ",0,"d^2/(a*d-b*c)/(c*f-d*e)/(c*h-d*g)*ln(d*x+c)+h^2/(c*h-d*g)/(a*h-b*g)/(e*h-f*g)*ln(h*x+g)-b^2/(a*d-b*c)/(a*f-b*e)/(a*h-b*g)*ln(b*x+a)-f^2/(c*f-d*e)/(e*h-f*g)/(a*f-b*e)*ln(f*x+e)","A"
6,1,20,19,0.007000," ","int(x/(x+1)/(x+2)/(x+3),x)","-\frac{\ln \left(x +1\right)}{2}+2 \ln \left(x +2\right)-\frac{3 \ln \left(x +3\right)}{2}"," ",0,"-1/2*ln(x+1)+2*ln(x+2)-3/2*ln(x+3)","A"
7,1,34,35,0.009000," ","int((x^3-x^2)/(x-6)/(5*x+3)^3,x)","\frac{1493 \ln \left(5 x +3\right)}{499125}+\frac{20 \ln \left(x -6\right)}{3993}-\frac{12}{1375 \left(5 x +3\right)^{2}}+\frac{201}{15125 \left(5 x +3\right)}"," ",0,"-12/1375/(5*x+3)^2+201/15125/(5*x+3)+1493/499125*ln(5*x+3)+20/3993*ln(x-6)","A"
8,1,301,204,0.010000," ","int((b*x+a)^3*(f*x+e)*(d*x+c)^(1/2)/x,x)","\frac{-2 a^{3} \sqrt{c}\, d^{4} e \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)+2 \sqrt{d x +c}\, a^{3} d^{4} e +\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{3} d^{3} f}{3}-2 \left(d x +c \right)^{\frac{3}{2}} a^{2} b c \,d^{2} f +2 \left(d x +c \right)^{\frac{3}{2}} a^{2} b \,d^{3} e +2 \left(d x +c \right)^{\frac{3}{2}} a \,b^{2} c^{2} d f -2 \left(d x +c \right)^{\frac{3}{2}} a \,b^{2} c \,d^{2} e -\frac{2 \left(d x +c \right)^{\frac{3}{2}} b^{3} c^{3} f}{3}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} b^{3} c^{2} d e}{3}+\frac{6 \left(d x +c \right)^{\frac{5}{2}} a^{2} b \,d^{2} f}{5}-\frac{12 \left(d x +c \right)^{\frac{5}{2}} a \,b^{2} c d f}{5}+\frac{6 \left(d x +c \right)^{\frac{5}{2}} a \,b^{2} d^{2} e}{5}+\frac{6 \left(d x +c \right)^{\frac{5}{2}} b^{3} c^{2} f}{5}-\frac{4 \left(d x +c \right)^{\frac{5}{2}} b^{3} c d e}{5}+\frac{6 \left(d x +c \right)^{\frac{7}{2}} a \,b^{2} d f}{7}-\frac{6 \left(d x +c \right)^{\frac{7}{2}} b^{3} c f}{7}+\frac{2 \left(d x +c \right)^{\frac{7}{2}} b^{3} d e}{7}+\frac{2 \left(d x +c \right)^{\frac{9}{2}} b^{3} f}{9}}{d^{4}}"," ",0,"2/d^4*(1/9*f*b^3*(d*x+c)^(9/2)+3/7*(d*x+c)^(7/2)*a*b^2*d*f-3/7*(d*x+c)^(7/2)*b^3*c*f+1/7*(d*x+c)^(7/2)*b^3*d*e+3/5*(d*x+c)^(5/2)*a^2*b*d^2*f-6/5*(d*x+c)^(5/2)*a*b^2*c*d*f+3/5*(d*x+c)^(5/2)*a*b^2*d^2*e+3/5*(d*x+c)^(5/2)*b^3*c^2*f-2/5*(d*x+c)^(5/2)*b^3*c*d*e+1/3*(d*x+c)^(3/2)*a^3*d^3*f-(d*x+c)^(3/2)*a^2*b*c*d^2*f+(d*x+c)^(3/2)*a^2*b*d^3*e+(d*x+c)^(3/2)*a*b^2*c^2*d*f-(d*x+c)^(3/2)*a*b^2*c*d^2*e-1/3*(d*x+c)^(3/2)*b^3*c^3*f+1/3*(d*x+c)^(3/2)*b^3*c^2*d*e+a^3*d^4*e*(d*x+c)^(1/2)-a^3*c^(1/2)*d^4*e*arctanh((d*x+c)^(1/2)/c^(1/2)))","A"
9,1,176,127,0.010000," ","int((b*x+a)^2*(f*x+e)*(d*x+c)^(1/2)/x,x)","\frac{-2 a^{2} \sqrt{c}\, d^{3} e \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)+2 \sqrt{d x +c}\, a^{2} d^{3} e +\frac{2 \left(d x +c \right)^{\frac{3}{2}} a^{2} d^{2} f}{3}-\frac{4 \left(d x +c \right)^{\frac{3}{2}} a b c d f}{3}+\frac{4 \left(d x +c \right)^{\frac{3}{2}} a b \,d^{2} e}{3}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} b^{2} c^{2} f}{3}-\frac{2 \left(d x +c \right)^{\frac{3}{2}} b^{2} c d e}{3}+\frac{4 \left(d x +c \right)^{\frac{5}{2}} a b d f}{5}-\frac{4 \left(d x +c \right)^{\frac{5}{2}} b^{2} c f}{5}+\frac{2 \left(d x +c \right)^{\frac{5}{2}} b^{2} d e}{5}+\frac{2 \left(d x +c \right)^{\frac{7}{2}} b^{2} f}{7}}{d^{3}}"," ",0,"2/d^3*(1/7*b^2*f*(d*x+c)^(7/2)+2/5*(d*x+c)^(5/2)*a*b*d*f-2/5*(d*x+c)^(5/2)*b^2*c*f+1/5*(d*x+c)^(5/2)*b^2*d*e+1/3*(d*x+c)^(3/2)*a^2*d^2*f-2/3*(d*x+c)^(3/2)*a*b*c*d*f+2/3*(d*x+c)^(3/2)*a*b*d^2*e+1/3*(d*x+c)^(3/2)*b^2*c^2*f-1/3*(d*x+c)^(3/2)*b^2*c*d*e+a^2*d^3*e*(d*x+c)^(1/2)-a^2*c^(1/2)*d^3*e*arctanh((d*x+c)^(1/2)/c^(1/2)))","A"
10,1,89,65,0.008000," ","int((b*x+a)*(f*x+e)*(d*x+c)^(1/2)/x,x)","\frac{-2 a \sqrt{c}\, d^{2} e \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)+2 \sqrt{d x +c}\, a \,d^{2} e +\frac{2 \left(d x +c \right)^{\frac{3}{2}} a d f}{3}-\frac{2 \left(d x +c \right)^{\frac{3}{2}} b c f}{3}+\frac{2 \left(d x +c \right)^{\frac{3}{2}} b d e}{3}+\frac{2 \left(d x +c \right)^{\frac{5}{2}} b f}{5}}{d^{2}}"," ",0,"2/d^2*(1/5*f*b*(d*x+c)^(5/2)+1/3*(d*x+c)^(3/2)*a*d*f-1/3*(d*x+c)^(3/2)*b*c*f+1/3*(d*x+c)^(3/2)*b*d*e+a*d^2*e*(d*x+c)^(1/2)-a*c^(1/2)*d^2*e*arctanh((d*x+c)^(1/2)/c^(1/2)))","A"
11,1,46,42,0.007000," ","int((f*x+e)*(d*x+c)^(1/2)/x,x)","\frac{-2 \sqrt{c}\, d e \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)+2 \sqrt{d x +c}\, d e +\frac{2 \left(d x +c \right)^{\frac{3}{2}} f}{3}}{d}"," ",0,"2/d*(1/3*f*(d*x+c)^(3/2)+d*e*(d*x+c)^(1/2)-c^(1/2)*d*e*arctanh((d*x+c)^(1/2)/c^(1/2)))","A"
12,1,196,83,0.016000," ","int((f*x+e)*(d*x+c)^(1/2)/x/(b*x+a),x)","-\frac{2 a d f \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}-\frac{2 b c e \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}+\frac{2 c f \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}}+\frac{2 d e \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}}-\frac{2 \sqrt{c}\, e \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a}+\frac{2 \sqrt{d x +c}\, f}{b}"," ",0,"2*f*(d*x+c)^(1/2)/b-2*a/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*d*f+2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c*f+2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*d*e-2/a*b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c*e-2*e*arctanh((d*x+c)^(1/2)/c^(1/2))*c^(1/2)/a","B"
13,1,192,109,0.019000," ","int((f*x+e)*(d*x+c)^(1/2)/x/(b*x+a)^2,x)","\frac{d e \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a}-\frac{2 b c e \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{d f \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\sqrt{\left(a d -b c \right) b}\, b}+\frac{\sqrt{d x +c}\, d e}{\left(b d x +a d \right) a}-\frac{\sqrt{d x +c}\, d f}{\left(b d x +a d \right) b}-\frac{2 \sqrt{c}\, e \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{2}}"," ",0,"-d/b*(d*x+c)^(1/2)/(b*d*x+a*d)*f+d/a*(d*x+c)^(1/2)/(b*d*x+a*d)*e+d/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*f+d/a/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*e-2/a^2*b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c*e-2*e*arctanh((d*x+c)^(1/2)/c^(1/2))*c^(1/2)/a^2","A"
14,1,424,182,0.020000," ","int((f*x+e)*(d*x+c)^(1/2)/x/(b*x+a)^3,x)","\frac{3 \left(d x +c \right)^{\frac{3}{2}} b \,d^{2} e}{4 \left(b d x +a d \right)^{2} \left(a d -b c \right) a}+\frac{3 d^{2} e \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{4 \left(a d -b c \right) \sqrt{\left(a d -b c \right) b}\, a}-\frac{\left(d x +c \right)^{\frac{3}{2}} b^{2} c d e}{\left(b d x +a d \right)^{2} \left(a d -b c \right) a^{2}}-\frac{3 b c d e \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a d -b c \right) \sqrt{\left(a d -b c \right) b}\, a^{2}}+\frac{2 b^{2} c^{2} e \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{\left(a d -b c \right) \sqrt{\left(a d -b c \right) b}\, a^{3}}+\frac{d^{2} f \arctan \left(\frac{\sqrt{d x +c}\, b}{\sqrt{\left(a d -b c \right) b}}\right)}{4 \left(a d -b c \right) \sqrt{\left(a d -b c \right) b}\, b}+\frac{\left(d x +c \right)^{\frac{3}{2}} d^{2} f}{4 \left(b d x +a d \right)^{2} \left(a d -b c \right)}+\frac{5 \sqrt{d x +c}\, d^{2} e}{4 \left(b d x +a d \right)^{2} a}-\frac{\sqrt{d x +c}\, b c d e}{\left(b d x +a d \right)^{2} a^{2}}-\frac{\sqrt{d x +c}\, d^{2} f}{4 \left(b d x +a d \right)^{2} b}-\frac{2 \sqrt{c}\, e \arctanh \left(\frac{\sqrt{d x +c}}{\sqrt{c}}\right)}{a^{3}}"," ",0,"1/4*d^2/(b*d*x+a*d)^2/(a*d-b*c)*(d*x+c)^(3/2)*f+3/4*d^2/a/(b*d*x+a*d)^2/(a*d-b*c)*(d*x+c)^(3/2)*b*e-d/a^2/(b*d*x+a*d)^2/(a*d-b*c)*(d*x+c)^(3/2)*b^2*c*e-1/4*d^2/(b*d*x+a*d)^2/b*(d*x+c)^(1/2)*f+5/4*d^2/a/(b*d*x+a*d)^2*(d*x+c)^(1/2)*e-d/a^2/(b*d*x+a*d)^2*b*(d*x+c)^(1/2)*c*e+1/4*d^2/(a*d-b*c)/b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*f+3/4*d^2/a/(a*d-b*c)/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*e-3*d/a^2/(a*d-b*c)*b/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c*e+2/a^3/(a*d-b*c)*b^2/((a*d-b*c)*b)^(1/2)*arctan((d*x+c)^(1/2)/((a*d-b*c)*b)^(1/2)*b)*c^2*e-2*e*arctanh((d*x+c)^(1/2)/c^(1/2))*c^(1/2)/a^3","B"
15,1,301,203,0.011000," ","int((d*x+c)^3*(f*x+e)*(b*x+a)^(1/2)/x,x)","\frac{-2 \sqrt{a}\, b^{4} c^{3} e \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}\, b^{4} c^{3} e -\frac{2 \left(b x +a \right)^{\frac{3}{2}} a^{3} d^{3} f}{3}+2 \left(b x +a \right)^{\frac{3}{2}} a^{2} b c \,d^{2} f +\frac{2 \left(b x +a \right)^{\frac{3}{2}} a^{2} b \,d^{3} e}{3}-2 \left(b x +a \right)^{\frac{3}{2}} a \,b^{2} c^{2} d f -2 \left(b x +a \right)^{\frac{3}{2}} a \,b^{2} c \,d^{2} e +\frac{2 \left(b x +a \right)^{\frac{3}{2}} b^{3} c^{3} f}{3}+2 \left(b x +a \right)^{\frac{3}{2}} b^{3} c^{2} d e +\frac{6 \left(b x +a \right)^{\frac{5}{2}} a^{2} d^{3} f}{5}-\frac{12 \left(b x +a \right)^{\frac{5}{2}} a b c \,d^{2} f}{5}-\frac{4 \left(b x +a \right)^{\frac{5}{2}} a b \,d^{3} e}{5}+\frac{6 \left(b x +a \right)^{\frac{5}{2}} b^{2} c^{2} d f}{5}+\frac{6 \left(b x +a \right)^{\frac{5}{2}} b^{2} c \,d^{2} e}{5}-\frac{6 \left(b x +a \right)^{\frac{7}{2}} a \,d^{3} f}{7}+\frac{6 \left(b x +a \right)^{\frac{7}{2}} b c \,d^{2} f}{7}+\frac{2 \left(b x +a \right)^{\frac{7}{2}} b \,d^{3} e}{7}+\frac{2 \left(b x +a \right)^{\frac{9}{2}} d^{3} f}{9}}{b^{4}}"," ",0,"2/b^4*(1/9*f*d^3*(b*x+a)^(9/2)-3/7*(b*x+a)^(7/2)*a*d^3*f+3/7*(b*x+a)^(7/2)*b*c*d^2*f+1/7*(b*x+a)^(7/2)*b*d^3*e+3/5*(b*x+a)^(5/2)*a^2*d^3*f-6/5*(b*x+a)^(5/2)*a*b*c*d^2*f-2/5*(b*x+a)^(5/2)*a*b*d^3*e+3/5*(b*x+a)^(5/2)*b^2*c^2*d*f+3/5*(b*x+a)^(5/2)*b^2*c*d^2*e-1/3*(b*x+a)^(3/2)*a^3*d^3*f+(b*x+a)^(3/2)*a^2*b*c*d^2*f+1/3*(b*x+a)^(3/2)*a^2*b*d^3*e-(b*x+a)^(3/2)*a*b^2*c^2*d*f-(b*x+a)^(3/2)*a*b^2*c*d^2*e+1/3*(b*x+a)^(3/2)*b^3*c^3*f+(b*x+a)^(3/2)*b^3*c^2*d*e+b^4*c^3*e*(b*x+a)^(1/2)-a^(1/2)*b^4*c^3*e*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
16,1,176,126,0.010000," ","int((d*x+c)^2*(f*x+e)*(b*x+a)^(1/2)/x,x)","\frac{-2 \sqrt{a}\, b^{3} c^{2} e \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}\, b^{3} c^{2} e +\frac{2 \left(b x +a \right)^{\frac{3}{2}} a^{2} d^{2} f}{3}-\frac{4 \left(b x +a \right)^{\frac{3}{2}} a b c d f}{3}-\frac{2 \left(b x +a \right)^{\frac{3}{2}} a b \,d^{2} e}{3}+\frac{2 \left(b x +a \right)^{\frac{3}{2}} b^{2} c^{2} f}{3}+\frac{4 \left(b x +a \right)^{\frac{3}{2}} b^{2} c d e}{3}-\frac{4 \left(b x +a \right)^{\frac{5}{2}} a \,d^{2} f}{5}+\frac{4 \left(b x +a \right)^{\frac{5}{2}} b c d f}{5}+\frac{2 \left(b x +a \right)^{\frac{5}{2}} b \,d^{2} e}{5}+\frac{2 \left(b x +a \right)^{\frac{7}{2}} d^{2} f}{7}}{b^{3}}"," ",0,"2/b^3*(1/7*d^2*f*(b*x+a)^(7/2)-2/5*(b*x+a)^(5/2)*a*d^2*f+2/5*(b*x+a)^(5/2)*b*c*d*f+1/5*(b*x+a)^(5/2)*b*d^2*e+1/3*(b*x+a)^(3/2)*a^2*d^2*f-2/3*(b*x+a)^(3/2)*a*b*c*d*f-1/3*(b*x+a)^(3/2)*a*b*d^2*e+1/3*(b*x+a)^(3/2)*b^2*c^2*f+2/3*(b*x+a)^(3/2)*b^2*c*d*e+b^3*c^2*e*(b*x+a)^(1/2)-a^(1/2)*b^3*c^2*e*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
17,1,89,65,0.009000," ","int((d*x+c)*(f*x+e)*(b*x+a)^(1/2)/x,x)","\frac{-2 \sqrt{a}\, b^{2} c e \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}\, b^{2} c e -\frac{2 \left(b x +a \right)^{\frac{3}{2}} a d f}{3}+\frac{2 \left(b x +a \right)^{\frac{3}{2}} b c f}{3}+\frac{2 \left(b x +a \right)^{\frac{3}{2}} b d e}{3}+\frac{2 \left(b x +a \right)^{\frac{5}{2}} d f}{5}}{b^{2}}"," ",0,"2/b^2*(1/5*d*f*(b*x+a)^(5/2)-1/3*(b*x+a)^(3/2)*a*d*f+1/3*(b*x+a)^(3/2)*b*c*f+1/3*(b*x+a)^(3/2)*b*d*e+b^2*c*e*(b*x+a)^(1/2)-a^(1/2)*b^2*c*e*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
18,1,46,42,0.007000," ","int((f*x+e)*(b*x+a)^(1/2)/x,x)","\frac{-2 \sqrt{a}\, b e \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)+2 \sqrt{b x +a}\, b e +\frac{2 \left(b x +a \right)^{\frac{3}{2}} f}{3}}{b}"," ",0,"2/b*(1/3*f*(b*x+a)^(3/2)+(b*x+a)^(1/2)*b*e-a^(1/2)*b*e*arctanh((b*x+a)^(1/2)/a^(1/2)))","A"
19,1,103,83,0.016000," ","int((f*x+e)*(b*x+a)^(1/2)/x/(d*x+c),x)","-\frac{2 \sqrt{a}\, e \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{c}+\frac{2 \sqrt{b x +a}\, f}{d}-\frac{2 \left(a c d f -a \,d^{2} e -b \,c^{2} f +b c d e \right) \arctanh \left(\frac{\sqrt{b x +a}\, d}{\sqrt{\left(a d -b c \right) d}}\right)}{\sqrt{\left(a d -b c \right) d}\, c d}"," ",0,"2*f*(b*x+a)^(1/2)/d-2*e*arctanh((b*x+a)^(1/2)/a^(1/2))*a^(1/2)/c-2/d*(a*c*d*f-a*d^2*e-b*c^2*f+b*c*d*e)/c/((a*d-b*c)*d)^(1/2)*arctanh((b*x+a)^(1/2)*d/((a*d-b*c)*d)^(1/2))","A"
20,1,137,110,0.017000," ","int((f*x+e)*(b*x+a)^(1/2)/x/(d*x+c)^2,x)","2 \left(-\frac{\sqrt{a}\, e \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{b \,c^{2}}-\frac{\frac{\left(c f -d e \right) \sqrt{b x +a}\, b c}{2 \left(-a d +b c +\left(b x +a \right) d \right) d}-\frac{\left(2 a \,d^{2} e -b \,c^{2} f -b c d e \right) \arctanh \left(\frac{\sqrt{b x +a}\, d}{\sqrt{\left(a d -b c \right) d}}\right)}{2 \sqrt{\left(a d -b c \right) d}\, d}}{b \,c^{2}}\right) b"," ",0,"2*b*(-a^(1/2)/b*e/c^2*arctanh((b*x+a)^(1/2)/a^(1/2))-1/c^2/b*(1/2*b*c*(c*f-d*e)/d*(b*x+a)^(1/2)/((b*x+a)*d-a*d+b*c)-1/2*(2*a*d^2*e-b*c^2*f-b*c*d*e)/d/((a*d-b*c)*d)^(1/2)*arctanh((b*x+a)^(1/2)/((a*d-b*c)*d)^(1/2)*d)))","A"
21,1,221,179,0.019000," ","int((f*x+e)*(b*x+a)^(1/2)/x/(d*x+c)^3,x)","2 \left(-\frac{\sqrt{a}\, e \arctanh \left(\frac{\sqrt{b x +a}}{\sqrt{a}}\right)}{b^{2} c^{3}}-\frac{-\frac{\left(8 a^{2} d^{3} e -12 a b c \,d^{2} e +c^{3} b^{2} f +3 b^{2} c^{2} d e \right) \arctanh \left(\frac{\sqrt{b x +a}\, d}{\sqrt{\left(a d -b c \right) d}}\right)}{8 \left(a d -b c \right) \sqrt{\left(a d -b c \right) d}\, d}+\frac{-\frac{\left(4 a \,d^{2} e -b \,c^{2} f -3 b c d e \right) \left(b x +a \right)^{\frac{3}{2}} b c}{8 \left(a d -b c \right)}+\frac{\left(4 a \,d^{2} e +b \,c^{2} f -5 b c d e \right) \sqrt{b x +a}\, b c}{8 d}}{\left(-a d +b c +\left(b x +a \right) d \right)^{2}}}{b^{2} c^{3}}\right) b^{2}"," ",0,"2*b^2*(-a^(1/2)/b^2*e/c^3*arctanh((b*x+a)^(1/2)/a^(1/2))-1/c^3/b^2*((-1/8*b*c*(4*a*d^2*e-b*c^2*f-3*b*c*d*e)/(a*d-b*c)*(b*x+a)^(3/2)+1/8*(4*a*d^2*e+b*c^2*f-5*b*c*d*e)*b*c/d*(b*x+a)^(1/2))/(-a*d+b*c+(b*x+a)*d)^2-1/8*(8*a^2*d^3*e-12*a*b*c*d^2*e+b^2*c^3*f+3*b^2*c^2*d*e)/(a*d-b*c)/d/((a*d-b*c)*d)^(1/2)*arctanh((b*x+a)^(1/2)/((a*d-b*c)*d)^(1/2)*d)))","A"
22,1,132,85,0.036000," ","int(x^3*(a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x)","-\frac{\sqrt{-a x +1}\, \left(32 \sqrt{-\left(a x -1\right) a x}\, a^{3} x^{3} \mathrm{csgn}\left(a \right)+80 \sqrt{-\left(a x -1\right) a x}\, a^{2} x^{2} \mathrm{csgn}\left(a \right)+100 \sqrt{-\left(a x -1\right) a x}\, a x \,\mathrm{csgn}\left(a \right)-75 \arctan \left(\frac{\left(2 a x -1\right) \mathrm{csgn}\left(a \right)}{2 \sqrt{-\left(a x -1\right) a x}}\right)+150 \sqrt{-\left(a x -1\right) a x}\, \mathrm{csgn}\left(a \right)\right) x \,\mathrm{csgn}\left(a \right)}{128 \sqrt{a x}\, \sqrt{-\left(a x -1\right) a x}\, a^{3}}"," ",0,"-1/128*(-a*x+1)^(1/2)*x*(32*csgn(a)*x^3*a^3*(-x*(a*x-1)*a)^(1/2)+80*csgn(a)*x^2*a^2*(-x*(a*x-1)*a)^(1/2)+100*csgn(a)*(-x*(a*x-1)*a)^(1/2)*x*a+150*csgn(a)*(-x*(a*x-1)*a)^(1/2)-75*arctan(1/2*csgn(a)*(2*a*x-1)/(-x*(a*x-1)*a)^(1/2)))*csgn(a)/a^3/(a*x)^(1/2)/(-x*(a*x-1)*a)^(1/2)","C"
23,1,111,67,0.015000," ","int(x^2*(a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x)","-\frac{\sqrt{-a x +1}\, \left(16 \sqrt{-\left(a x -1\right) a x}\, a^{2} x^{2} \mathrm{csgn}\left(a \right)+44 \sqrt{-\left(a x -1\right) a x}\, a x \,\mathrm{csgn}\left(a \right)-33 \arctan \left(\frac{\left(2 a x -1\right) \mathrm{csgn}\left(a \right)}{2 \sqrt{-\left(a x -1\right) a x}}\right)+66 \sqrt{-\left(a x -1\right) a x}\, \mathrm{csgn}\left(a \right)\right) x \,\mathrm{csgn}\left(a \right)}{48 \sqrt{a x}\, \sqrt{-\left(a x -1\right) a x}\, a^{2}}"," ",0,"-1/48*(-a*x+1)^(1/2)*x*(16*(-(a*x-1)*a*x)^(1/2)*a^2*x^2*csgn(a)+44*(-(a*x-1)*a*x)^(1/2)*a*x*csgn(a)+66*(-(a*x-1)*a*x)^(1/2)*csgn(a)-33*arctan(1/2*(2*a*x-1)/(-(a*x-1)*a*x)^(1/2)*csgn(a)))*csgn(a)/a^2/(a*x)^(1/2)/(-(a*x-1)*a*x)^(1/2)","C"
24,1,90,49,0.016000," ","int(x*(a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x)","-\frac{\sqrt{-a x +1}\, \left(4 \sqrt{-\left(a x -1\right) a x}\, a x \,\mathrm{csgn}\left(a \right)-7 \arctan \left(\frac{\left(2 a x -1\right) \mathrm{csgn}\left(a \right)}{2 \sqrt{-\left(a x -1\right) a x}}\right)+14 \sqrt{-\left(a x -1\right) a x}\, \mathrm{csgn}\left(a \right)\right) x \,\mathrm{csgn}\left(a \right)}{8 \sqrt{a x}\, \sqrt{-\left(a x -1\right) a x}\, a}"," ",0,"-1/8*(-a*x+1)^(1/2)*x/a*(4*(-(a*x-1)*a*x)^(1/2)*a*x*csgn(a)+14*(-(a*x-1)*a*x)^(1/2)*csgn(a)-7*arctan(1/2*(2*a*x-1)/(-(a*x-1)*a*x)^(1/2)*csgn(a)))*csgn(a)/(a*x)^(1/2)/(-(a*x-1)*a*x)^(1/2)","C"
25,1,70,31,0.019000," ","int((a*x+1)/(a*x)^(1/2)/(-a*x+1)^(1/2),x)","-\frac{\sqrt{-a x +1}\, \left(-3 \arctan \left(\frac{\left(2 a x -1\right) \mathrm{csgn}\left(a \right)}{2 \sqrt{-\left(a x -1\right) a x}}\right)+2 \sqrt{-\left(a x -1\right) a x}\, \mathrm{csgn}\left(a \right)\right) x \,\mathrm{csgn}\left(a \right)}{2 \sqrt{a x}\, \sqrt{-\left(a x -1\right) a x}}"," ",0,"-1/2*(-a*x+1)^(1/2)*x*(2*(-(a*x-1)*a*x)^(1/2)*csgn(a)-3*arctan(1/2*(2*a*x-1)/(-(a*x-1)*a*x)^(1/2)*csgn(a)))*csgn(a)/(a*x)^(1/2)/(-(a*x-1)*a*x)^(1/2)","C"
26,1,69,23,0.019000," ","int((a*x+1)/x/(a*x)^(1/2)/(-a*x+1)^(1/2),x)","\frac{\left(a x \arctan \left(\frac{\left(2 a x -1\right) \mathrm{csgn}\left(a \right)}{2 \sqrt{-\left(a x -1\right) a x}}\right)-2 \sqrt{-\left(a x -1\right) a x}\, \mathrm{csgn}\left(a \right)\right) \sqrt{-a x +1}\, \mathrm{csgn}\left(a \right)}{\sqrt{a x}\, \sqrt{-\left(a x -1\right) a x}}"," ",0,"(arctan(1/2*(2*a*x-1)/(-(a*x-1)*a*x)^(1/2)*csgn(a))*x*a-2*(-(a*x-1)*a*x)^(1/2)*csgn(a))*(-a*x+1)^(1/2)*csgn(a)/(a*x)^(1/2)/(-(a*x-1)*a*x)^(1/2)","C"
27,1,25,33,0.004000," ","int((a*x+1)/x^2/(a*x)^(1/2)/(-a*x+1)^(1/2),x)","-\frac{2 \left(5 a x +1\right) \sqrt{-a x +1}}{3 \sqrt{a x}\, x}"," ",0,"-2/3*(5*a*x+1)/x/(a*x)^(1/2)*(-a*x+1)^(1/2)","A"
28,1,33,55,0.005000," ","int((a*x+1)/x^3/(a*x)^(1/2)/(-a*x+1)^(1/2),x)","-\frac{2 \left(6 a^{2} x^{2}+3 a x +1\right) \sqrt{-a x +1}}{5 \sqrt{a x}\, x^{2}}"," ",0,"-2/5*(6*a^2*x^2+3*a*x+1)/x^2/(a*x)^(1/2)*(-a*x+1)^(1/2)","A"
29,1,41,73,0.007000," ","int((a*x+1)/x^4/(a*x)^(1/2)/(-a*x+1)^(1/2),x)","-\frac{2 \left(104 a^{3} x^{3}+52 a^{2} x^{2}+39 a x +15\right) \sqrt{-a x +1}}{105 \sqrt{a x}\, x^{3}}"," ",0,"-2/105*(104*a^3*x^3+52*a^2*x^2+39*a*x+15)/x^3/(a*x)^(1/2)*(-a*x+1)^(1/2)","A"
30,1,49,91,0.006000," ","int((a*x+1)/x^5/(a*x)^(1/2)/(-a*x+1)^(1/2),x)","-\frac{2 \left(272 a^{4} x^{4}+136 a^{3} x^{3}+102 a^{2} x^{2}+85 a x +35\right) \sqrt{-a x +1}}{315 \sqrt{a x}\, x^{4}}"," ",0,"-2/315*(272*a^4*x^4+136*a^3*x^3+102*a^2*x^2+85*a*x+35)/x^4/(a*x)^(1/2)*(-a*x+1)^(1/2)","A"
31,1,44,31,0.018000," ","int((2*a*x-1)/x^2/(x-1)^(1/2)/(x+1)^(1/2),x)","\frac{\left(-2 a x \arctan \left(\frac{1}{\sqrt{x^{2}-1}}\right)-\sqrt{x^{2}-1}\right) \sqrt{x -1}\, \sqrt{x +1}}{\sqrt{x^{2}-1}\, x}"," ",0,"(-2*x*a*arctan(1/(x^2-1)^(1/2))-(x^2-1)^(1/2))*(x-1)^(1/2)*(x+1)^(1/2)/x/(x^2-1)^(1/2)","A"
32,1,44,31,0.005000," ","int((a^2*x^2-(-a*x+1)^2)/x^2/(x-1)^(1/2)/(x+1)^(1/2),x)","\frac{\left(-2 a x \arctan \left(\frac{1}{\sqrt{x^{2}-1}}\right)-\sqrt{x^{2}-1}\right) \sqrt{x -1}\, \sqrt{x +1}}{\sqrt{x^{2}-1}\, x}"," ",0,"(-2*a*x*arctan(1/(x^2-1)^(1/2))-(x^2-1)^(1/2))*(x-1)^(1/2)*(x+1)^(1/2)/(x^2-1)^(1/2)/x","A"
33,1,624,127,0.049000," ","int((B*x+A)/(b*x+a)^(1/2)/(c+b*(c-1)*x/a)^(1/2)/(e+b*(e-1)*x/a)^(1/2),x)","-\frac{2 \left(A b \,c^{2} \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)-A b c e \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)-B a \,c^{2} \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)+B a c e \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)-A b c \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)+A b e \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)-B a c \EllipticE \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)+B a c \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)+B a e \EllipticE \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)-B a e \EllipticF \left(\sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}, \sqrt{-\frac{c -e}{e -1}}\right)\right) \sqrt{\frac{\left(c -1\right) \left(b e x +a e -b x \right)}{\left(c -e \right) a}}\, \sqrt{-\frac{\left(b x +a \right) \left(c -1\right)}{a}}\, \sqrt{-\frac{\left(e -1\right) \left(b c x +a c -b x \right)}{\left(c -e \right) a}}\, a}{\sqrt{b x +a}\, \sqrt{\frac{b c x +a c -b x}{a}}\, \sqrt{\frac{b e x +a e -b x}{a}}\, \left(e -1\right) \left(c -1\right)^{2} b^{2}}"," ",0,"-2*(A*EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*b*c^2-A*EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*b*c*e-B*EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*a*c^2+B*EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*a*c*e-A*EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*b*c+A*EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*b*e+B*EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*a*c-B*EllipticF((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*a*e-B*EllipticE((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*a*c+B*EllipticE((-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2),(-(c-e)/(e-1))^(1/2))*a*e)*((c-1)*(b*e*x+a*e-b*x)/(c-e)/a)^(1/2)*(-(b*x+a)*(c-1)/a)^(1/2)*(-(e-1)*(b*c*x+a*c-b*x)/(c-e)/a)^(1/2)*a/(b*x+a)^(1/2)/((b*c*x+a*c-b*x)/a)^(1/2)/((b*e*x+a*e-b*x)/a)^(1/2)/(e-1)/(c-1)^2/b^2","B"
34,1,940,195,0.045000," ","int((B*x+A)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(e+b*(e-1)*x/a)^(1/2),x)","\frac{2 \sqrt{b x +a}\, \sqrt{d x +c}\, \sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}\, \sqrt{-\frac{\left(b x +a \right) \left(e -1\right)}{a}}\, \sqrt{-\frac{\left(d x +c \right) \left(e -1\right) b}{a d e -b c e +b c}}\, \left(A a b d \,e^{2} \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-A \,b^{2} c \,e^{2} \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-B \,a^{2} d \,e^{2} \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)+B a b c \,e^{2} \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-A a b d e \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)+2 A \,b^{2} c e \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-B \,a^{2} d e \EllipticE \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)+B \,a^{2} d e \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)+B a b c e \EllipticE \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-2 B a b c e \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-A \,b^{2} c \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)-B a b c \EllipticE \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)+B a b c \EllipticF \left(\sqrt{\frac{\left(b e x +a e -b x \right) d}{a d e -b c e +b c}}, \sqrt{\frac{a d e -b c e +b c}{a d}}\right)\right)}{\sqrt{\frac{b e x +a e -b x}{a}}\, \left(b d \,x^{2}+a d x +b c x +a c \right) \left(e -1\right)^{2} b^{2} d}"," ",0,"2*(b*x+a)^(1/2)*(d*x+c)^(1/2)*((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2)*(-(b*x+a)*(e-1)/a)^(1/2)*(-(d*x+c)*(e-1)/(a*d*e-b*c*e+b*c)*b)^(1/2)*(A*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*d*e^2-A*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*b^2*c*e^2-B*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a^2*d*e^2+B*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*c*e^2-A*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*d*e+2*A*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*b^2*c*e+B*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a^2*d*e-2*B*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*c*e-B*EllipticE(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a^2*d*e+B*EllipticE(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*c*e-A*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*b^2*c+B*EllipticF(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*c-B*EllipticE(((b*e*x+a*e-b*x)/(a*d*e-b*c*e+b*c)*d)^(1/2),((a*d*e-b*c*e+b*c)/a/d)^(1/2))*a*b*c)/((b*e*x+a*e-b*x)/a)^(1/2)/(b*d*x^2+a*d*x+b*c*x+a*c)/(e-1)^2/b^2/d","B"
35,1,160,217,0.053000," ","int((7+5*x)^3*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2),x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(4199040000 x^{7}+7947072000 x^{6}-28894190400 x^{5}-88040305728 x^{4}-70646534280 x^{3}+542756583588 x^{2}-180358343100 x -71380354727 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+86157619845 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-79801717800\right)}{184757760 x^{3}-538876800 x^{2}+161663040 x +76982400}"," ",0,"1/7698240*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(4199040000*x^7+7947072000*x^6+86157619845*11^(1/2)*(-3*x+2)^(1/2)*(5-2*x)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(22-33*x)^(1/2),1/2*I*2^(1/2))-71380354727*11^(1/2)*(-3*x+2)^(1/2)*(5-2*x)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(22-33*x)^(1/2),1/2*I*2^(1/2))-28894190400*x^5-88040305728*x^4-70646534280*x^3+542756583588*x^2-180358343100*x-79801717800)/(24*x^3-70*x^2+21*x+10)","A"
36,1,155,187,0.013000," ","int((7+5*x)^2*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2),x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(15552000 x^{6}+4147200 x^{5}-125816544 x^{4}-163495440 x^{3}+604794324 x^{2}-171873450 x -70987796 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+83887485 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-82830900\right)}{2799360 x^{3}-8164800 x^{2}+2449440 x +1166400}"," ",0,"1/116640*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(15552000*x^6+83887485*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-70987796*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))+4147200*x^5-125816544*x^4-163495440*x^3+604794324*x^2-171873450*x-82830900)/(24*x^3-70*x^2+21*x+10)","A"
37,1,150,145,0.013000," ","int((7+5*x)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2),x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(777600 x^{5}-1197504 x^{4}-5234040 x^{3}+9404484 x^{2}-1997100 x -954811 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+1087185 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-1163400\right)}{544320 x^{3}-1587600 x^{2}+476280 x +226800}"," ",0,"1/22680*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(1087185*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-954811*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))+777600*x^5-1197504*x^4-5234040*x^3+9404484*x^2-1997100*x-1163400)/(24*x^3-70*x^2+21*x+10)","A"
38,1,145,122,0.012000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2),x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(5184 x^{4}-20160 x^{3}+19236 x^{2}-2250 x -1694 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+1815 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-2100\right)}{12960 x^{3}-37800 x^{2}+11340 x +5400}"," ",0,"1/540*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(1815*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-1694*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))+5184*x^4-20160*x^3+19236*x^2-2250*x-2100)/(24*x^3-70*x^2+21*x+10)","A"
39,1,183,138,0.024000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)/(7+5*x),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-39600 x^{3}+115500 x^{2}-34650 x +23485 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+3759 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-24219 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-16500\right)}{12375 \left(24 x^{3}-70 x^{2}+21 x +10\right)}"," ",0,"-1/12375*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(3759*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))+23485*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-24219*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))-39600*x^3+115500*x^2-34650*x-16500)/(24*x^3-70*x^2+21*x+10)","A"
40,1,320,145,0.029000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)/(7+5*x)^2,x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-409200 x^{3}+1193500 x^{2}+102300 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+47120 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-134295 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-358050 x +143220 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+65968 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-188013 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-170500\right)}{85250 \left(24 x^{3}-70 x^{2}+21 x +10\right) \left(5 x +7\right)}"," ",0,"1/85250*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(47120*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x+102300*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-134295*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x+65968*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))+143220*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-188013*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))-409200*x^3+1193500*x^2-358050*x-170500)/(24*x^3-70*x^2+21*x+10)/(7+5*x)","B"
41,1,461,175,0.031000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^3,x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(18317838000 x^{4}-50539303100 x^{3}-1526486500 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+143991900 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+1112437725 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+7605578750 x^{2}-4274162200 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+403177320 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+3114825630 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+10159191350 x -2991913540 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+282224124 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+2180377941 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+1203218500\right)}{9482187000 \left(24 x^{3}-70 x^{2}+21 x +10\right) \left(5 x +7\right)^{2}}"," ",0,"1/9482187000*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(143991900*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^2-1526486500*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^2+1112437725*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x^2+403177320*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-4274162200*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x+3114825630*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x+282224124*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-2991913540*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))+2180377941*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))+18317838000*x^4-50539303100*x^3+7605578750*x^2+10159191350*x+1203218500)/(24*x^3-70*x^2+21*x+10)/(5*x+7)^2","B"
42,1,602,205,0.033000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^4,x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(172175002230000 x^{5}+319488997250500 x^{4}-14347916852500 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{3} \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+15086655811500 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{3} \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-5874231168375 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{3} \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-2276751199345150 x^{3}-60261250780500 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+63363954408300 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-24671770907175 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+880758940754000 x^{2}-84365751092700 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+88709536171620 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-34540479270045 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+315342410533150 x -39370683843260 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+41397783546756 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-16118890326021 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-12865932898500\right)}{527342347818000 \left(24 x^{3}-70 x^{2}+21 x +10\right) \left(5 x +7\right)^{3}}"," ",0,"1/527342347818000*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(15086655811500*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^3-14347916852500*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^3-5874231168375*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x^3+63363954408300*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^2-60261250780500*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^2-24671770907175*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x^2+88709536171620*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-84365751092700*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-34540479270045*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x+41397783546756*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-39370683843260*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-16118890326021*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))+172175002230000*x^5+319488997250500*x^4-2276751199345150*x^3+880758940754000*x^2+315342410533150*x-12865932898500)/(24*x^3-70*x^2+21*x+10)/(5*x+7)^3","B"
43,1,3678,507,0.072000," ","int((d*x+c)^(1/2)*(f*x+e)^(1/2)*(h*x+g)^(1/2)/(b*x+a),x)","\text{output too large to display}"," ",0,"2/3*(x*b^2*c*d^2*e*f*h^2-3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)*b/f/(a*d-b*c),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*c*d^2*e*f*g*h+((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*c*d^2*e*f*g*h+3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)*b/f/(a*d-b*c),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a*b*c*d^2*e*f*h^2-3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a*b*c*d^2*e*f*h^2-3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a*b*c*d^2*f^2*g*h+3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a*b*d^3*e*f*g*h+3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)*b/f/(a*d-b*c),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a*b*c*d^2*f^2*g*h-3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)*b/f/(a*d-b*c),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a*b*d^3*e*f*g*h+x^2*b^2*c*d^2*f^2*h^2+x^2*b^2*d^3*e*f*h^2+x^2*b^2*d^3*f^2*g*h-((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*c^3*f^2*h^2+x*b^2*c*d^2*f^2*g*h+x*b^2*d^3*e*f*g*h+x^3*b^2*d^3*f^2*h^2-3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a*b*c^2*d*f^2*h^2+2*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*c^2*d*e*f*h^2+((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*c^2*d*f^2*g*h+3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a*b*c^2*d*f^2*h^2+3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)*b/f/(a*d-b*c),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a^2*d^3*e*f*h^2-3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)*b/f/(a*d-b*c),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a*b*d^3*e^2*h^2+3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)*b/f/(a*d-b*c),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*d^3*e^2*g*h-((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*c*d^2*f^2*g^2-((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*d^3*e^2*g*h+((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*d^3*e*f*g^2+((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*c*d^2*e^2*h^2+((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*c*d^2*f^2*g^2-((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*d^3*e^2*g*h-((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*d^3*e*f*g^2-3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)*b/f/(a*d-b*c),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a^2*c*d^2*f^2*h^2+3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a^2*c*d^2*f^2*h^2-3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a^2*d^3*e*f*h^2+3*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*a*b*d^3*e^2*h^2-2*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*b^2*c*d^2*e^2*h^2+b^2*c*d^2*e*f*g*h)*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(h*x+g)^(1/2)/b^3/h/f/d^2/(d*f*h*x^3+c*f*h*x^2+d*e*h*x^2+d*f*g*x^2+c*e*h*x+c*f*g*x+d*e*g*x+c*e*g)","B"
44,1,155,187,0.026000," ","int((5*x+7)^3*(-3*x+2)^(1/2)*(4*x+1)^(1/2)/(2*x-5)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{2 x -5}\, \left(-108864000 x^{6}-574905600 x^{5}-1259114976 x^{4}-2963596608 x^{3}+34609891236 x^{2}-13052783142 x -5258315194 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+6485413737 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-5468236620\right)}{326592 \left(24 x^{3}-70 x^{2}+21 x +10\right)}"," ",0,"-1/326592*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(-108864000*x^6+6485413737*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-5258315194*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-574905600*x^5-1259114976*x^4-2963596608*x^3+34609891236*x^2-13052783142*x-5468236620)/(24*x^3-70*x^2+21*x+10)","A"
45,1,150,157,0.015000," ","int((5*x+7)^2*(-3*x+2)^(1/2)*(4*x+1)^(1/2)/(2*x-5)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{2 x -5}\, \left(-777600 x^{5}-3048192 x^{4}-5851944 x^{3}+55332552 x^{2}-20307546 x -8198333 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+10074966 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-8615460\right)}{9072 \left(24 x^{3}-70 x^{2}+21 x +10\right)}"," ",0,"-1/9072*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(10074966*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-8198333*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-777600*x^5-3048192*x^4-5851944*x^3+55332552*x^2-20307546*x-8615460)/(24*x^3-70*x^2+21*x+10)","A"
46,1,145,122,0.013000," ","int((5*x+7)*(-3*x+2)^(1/2)*(4*x+1)^(1/2)/(2*x-5)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{2 x -5}\, \left(-5184 x^{4}-13536 x^{3}+79044 x^{2}-27234 x -11176 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+13629 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-11940\right)}{216 \left(24 x^{3}-70 x^{2}+21 x +10\right)}"," ",0,"-1/216*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(13629*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-11176*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-5184*x^4-13536*x^3+79044*x^2-27234*x-11940)/(24*x^3-70*x^2+21*x+10)","A"
47,1,140,99,0.012000," ","int((-3*x+2)^(1/2)*(4*x+1)^(1/2)/(2*x-5)^(1/2),x)","\frac{\sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{2 x -5}\, \left(144 x^{3}-420 x^{2}+126 x +55 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-66 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+60\right)}{432 x^{3}-1260 x^{2}+378 x +180}"," ",0,"1/18*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(55*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-66*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))+144*x^3-420*x^2+126*x+60)/(24*x^3-70*x^2+21*x+10)","A"
48,1,76,115,0.015000," ","int((-3*x+2)^(1/2)*(4*x+1)^(1/2)/(5*x+7)/(2*x-5)^(1/2),x)","\frac{\left(-110 \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+41 \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+69 \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)\right) \sqrt{-2 x +5}\, \sqrt{11}}{275 \sqrt{2 x -5}}"," ",0,"1/275*(41*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-110*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))+69*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2)))*(-2*x+5)^(1/2)*11^(1/2)/(2*x-5)^(1/2)","A"
49,1,320,145,0.018000," ","int((-3*x+2)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^2/(2*x-5)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{2 x -5}\, \left(-409200 x^{3}+1193500 x^{2}+34100 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+72540 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-91515 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-358050 x +47740 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+101556 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-128121 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-170500\right)}{664950 \left(24 x^{3}-70 x^{2}+21 x +10\right) \left(5 x +7\right)}"," ",0,"-1/664950*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(72540*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x+34100*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-91515*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x+101556*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))+47740*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-128121*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))-409200*x^3+1193500*x^2-358050*x-170500)/(24*x^3-70*x^2+21*x+10)/(5*x+7)","B"
50,1,461,175,0.019000," ","int((-3*x+2)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^3/(2*x-5)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{2 x -5}\, \left(2215818000 x^{4}-10946406900 x^{3}-184651500 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+737610900 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-499190025 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+15016020250 x^{2}-517024200 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+2065310520 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-1397732070 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-2999896350 x -361916940 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+1445717364 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-978412449 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-1868168500\right)}{24653686200 \left(24 x^{3}-70 x^{2}+21 x +10\right) \left(5 x +7\right)^{2}}"," ",0,"-1/24653686200*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(737610900*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^2-184651500*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^2-499190025*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x^2+2065310520*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-517024200*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-1397732070*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x+1445717364*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-361916940*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-978412449*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))+2215818000*x^4-10946406900*x^3+15016020250*x^2-2999896350*x-1868168500)/(24*x^3-70*x^2+21*x+10)/(5*x+7)^2","B"
51,1,150,157,0.028000," ","int((5*x+7)^3*(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-3888000 x^{5}-21500640 x^{4}-57602160 x^{3}+407101740 x^{2}-144920790 x -62518492 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+75780147 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-62493900\right)}{36288 \left(24 x^{3}-70 x^{2}+21 x +10\right)}"," ",0,"-1/36288*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(75780147*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-62518492*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-3888000*x^5-21500640*x^4-57602160*x^3+407101740*x^2-144920790*x-62493900)/(24*x^3-70*x^2+21*x+10)","A"
52,1,145,127,0.017000," ","int((5*x+7)^2*(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-12960 x^{4}-58680 x^{3}+270060 x^{2}-89820 x -44569 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+52599 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-40200\right)}{432 \left(24 x^{3}-70 x^{2}+21 x +10\right)}"," ",0,"-1/432*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(52599*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-44569*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-12960*x^4-58680*x^3+270060*x^2-89820*x-40200)/(24*x^3-70*x^2+21*x+10)","A"
53,1,140,99,0.015000," ","int((5*x+7)*(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-720 x^{3}+2100 x^{2}-630 x -482 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+537 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-300\right)}{72 \left(24 x^{3}-70 x^{2}+21 x +10\right)}"," ",0,"-1/72*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(537*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-482*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-720*x^3+2100*x^2-630*x-300)/(24*x^3-70*x^2+21*x+10)","A"
54,1,55,35,0.014000," ","int((-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{\left(-\EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+\EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)\right) \sqrt{-2 x +5}\, \sqrt{11}}{2 \sqrt{2 x -5}}"," ",0,"1/2*(EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2)))*(-2*x+5)^(1/2)*11^(1/2)/(2*x-5)^(1/2)","C"
55,1,56,77,0.017000," ","int((-3*x+2)^(1/2)/(5*x+7)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{3 \left(\EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-\EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)\right) \sqrt{-2 x +5}\, \sqrt{11}}{55 \sqrt{2 x -5}}"," ",0,"3/55*(EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2)))*(-2*x+5)^(1/2)*11^(1/2)/(2*x-5)^(1/2)","A"
56,1,320,145,0.022000," ","int((-3*x+2)^(1/2)/(5*x+7)^2/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-409200 x^{3}+1193500 x^{2}+34100 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-72540 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+53565 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-358050 x +47740 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-101556 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+74991 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-170500\right)}{3058770 \left(24 x^{3}-70 x^{2}+21 x +10\right) \left(5 x +7\right)}"," ",0,"1/3058770*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(34100*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x+53565*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x-72540*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x+47740*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))+74991*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))-101556*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-409200*x^3+1193500*x^2-358050*x-170500)/(24*x^3-70*x^2+21*x+10)/(5*x+7)","B"
57,1,461,175,0.023000," ","int((-3*x+2)^(1/2)/(5*x+7)^3/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(10976790000 x^{4}-9062381900 x^{3}-914732500 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+1601078700 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-1227745575 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-57342304250 x^{2}-2561251000 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+4483020360 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-3437687610 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+24657761150 x -1792875700 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+3138114252 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-2406381327 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+9563856500\right)}{113406956520 \left(24 x^{3}-70 x^{2}+21 x +10\right) \left(5 x +7\right)^{2}}"," ",0,"-1/113406956520*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(1601078700*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^2-914732500*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^2-1227745575*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x^2+4483020360*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-2561251000*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-3437687610*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x+3138114252*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-1792875700*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-2406381327*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))+10976790000*x^4-9062381900*x^3-57342304250*x^2+24657761150*x+9563856500)/(24*x^3-70*x^2+21*x+10)/(5*x+7)^2","B"
58,1,382,259,0.051000," ","int((d*x+c)^(1/2)/(b*x+a)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \sqrt{f x +e}\, \sqrt{h x +g}\, \sqrt{\frac{\left(d x +c \right) f}{c f -d e}}\, \sqrt{-\frac{\left(h x +g \right) d}{c h -d g}}\, \sqrt{-\frac{\left(f x +e \right) d}{c f -d e}}\, \left(c f \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-c f \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, -\frac{\left(c f -d e \right) b}{\left(a d -b c \right) f}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-d e \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+d e \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, -\frac{\left(c f -d e \right) b}{\left(a d -b c \right) f}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)\right)}{\left(d f h \,x^{3}+c f h \,x^{2}+d e h \,x^{2}+d f g \,x^{2}+c e h x +c f g x +d e g x +c e g \right) b f}"," ",0,"2*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(h*x+g)^(1/2)/f/b*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)*d/(c*h-d*g))^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*(EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*c*f-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*d*e-EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)*b/f/(a*d-b*c),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*c*f+EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)*b/f/(a*d-b*c),((c*f-d*e)*h/f/(c*h-d*g))^(1/2))*d*e)/(d*f*h*x^3+c*f*h*x^2+d*e*h*x^2+d*f*g*x^2+c*e*h*x+c*f*g*x+d*e*g*x+c*e*g)","A"
59,1,968,398,0.033000," ","int((d*x+c)^(3/2)/(b*x+a)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","-\frac{2 \sqrt{d x +c}\, \sqrt{f x +e}\, \sqrt{h x +g}\, \sqrt{\frac{\left(d x +c \right) f}{c f -d e}}\, \sqrt{-\frac{\left(h x +g \right) d}{c h -d g}}\, \sqrt{-\frac{\left(f x +e \right) d}{c f -d e}}\, \left(a c d f h \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-a c d f h \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, -\frac{\left(c f -d e \right) b}{\left(a d -b c \right) f}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-a \,d^{2} e h \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+a \,d^{2} e h \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, -\frac{\left(c f -d e \right) b}{\left(a d -b c \right) f}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+b \,c^{2} f h \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-2 b \,c^{2} f h \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+b \,c^{2} f h \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, -\frac{\left(c f -d e \right) b}{\left(a d -b c \right) f}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-b c d e h \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+2 b c d e h \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-b c d e h \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, -\frac{\left(c f -d e \right) b}{\left(a d -b c \right) f}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-b c d f g \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+b c d f g \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+b \,d^{2} e g \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-b \,d^{2} e g \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)\right)}{\left(d f h \,x^{3}+c f h \,x^{2}+d e h \,x^{2}+d f g \,x^{2}+c e h x +c f g x +d e g x +c e g \right) b^{2} f h}"," ",0,"-2*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(h*x+g)^(1/2)/h/f/b^2*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*(EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*c*d*f*h-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*d^2*e*h-2*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^2*f*h+2*EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d*e*h+EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d*f*g-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*d^2*e*g+EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^2*f*h-EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d*e*h-EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d*f*g+EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*d^2*e*g-EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*c*d*f*h+EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*d^2*e*h+EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^2*f*h-EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d*e*h)/(d*f*h*x^3+c*f*h*x^2+d*e*h*x^2+d*f*g*x^2+c*e*h*x+c*f*g*x+d*e*g*x+c*e*g)","B"
60,1,150,157,0.030000," ","int((5*x+7)^4/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-23760000 x^{5}-200138400 x^{4}-900068400 x^{3}+4611000900 x^{2}-1569263850 x -899330960 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+1178969721 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-693808500\right)}{3193344 x^{3}-9313920 x^{2}+2794176 x +1330560}"," ",0,"1/133056*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(1178969721*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-899330960*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-23760000*x^5-200138400*x^4-900068400*x^3+4611000900*x^2-1569263850*x-693808500)/(24*x^3-70*x^2+21*x+10)","A"
61,1,145,127,0.019000," ","int((5*x+7)^3/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-712800 x^{4}-5682600 x^{3}+22014300 x^{2}-7088400 x -5363435 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+7422603 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-3234000\right)}{342144 x^{3}-997920 x^{2}+299376 x +142560}"," ",0,"1/14256*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(7422603*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-5363435*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-712800*x^4-5682600*x^3+22014300*x^2-7088400*x-3234000)/(24*x^3-70*x^2+21*x+10)","A"
62,1,140,99,0.020000," ","int((5*x+7)^2/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-39600 x^{3}+115500 x^{2}-34650 x -46970 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+73059 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-16500\right)}{57024 x^{3}-166320 x^{2}+49896 x +23760}"," ",0,"1/2376*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(73059*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-46970*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-39600*x^3+115500*x^2-34650*x-16500)/(24*x^3-70*x^2+21*x+10)","A"
63,1,57,76,0.019000," ","int((5*x+7)/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","-\frac{\left(-55 \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+117 \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)\right) \sqrt{-2 x +5}\, \sqrt{11}}{66 \sqrt{2 x -5}}"," ",0,"-1/66*(117*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-55*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2)))*(-2*x+5)^(1/2)*11^(1/2)/(2*x-5)^(1/2)","A"
64,1,36,37,0.016000," ","int(1/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","-\frac{\sqrt{-2 x +5}\, \sqrt{11}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)}{11 \sqrt{2 x -5}}"," ",0,"-1/11*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*(-2*x+5)^(1/2)*11^(1/2)/(2*x-5)^(1/2)","C"
65,1,37,39,0.018000," ","int(1/(5*x+7)/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","-\frac{3 \sqrt{-2 x +5}\, \sqrt{11}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)}{341 \sqrt{2 x -5}}"," ",0,"-3/341*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*(-2*x+5)^(1/2)*11^(1/2)/(2*x-5)^(1/2)","A"
66,1,320,145,0.023000," ","int(1/(5*x+7)^2/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(409200 x^{3}-1193500 x^{2}-34100 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+72540 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-134295 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+358050 x -47740 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+101556 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-188013 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+170500\right)}{18964374 \left(24 x^{3}-70 x^{2}+21 x +10\right) \left(5 x +7\right)}"," ",0,"-1/18964374*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(72540*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-34100*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-134295*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x+101556*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-47740*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-188013*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))+409200*x^3-1193500*x^2+358050*x+170500)/(24*x^3-70*x^2+21*x+10)/(5*x+7)","B"
67,1,461,175,0.021000," ","int(1/(5*x+7)^3/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(18317838000 x^{4}-20196304700 x^{3}-1526486500 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+2902446300 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-3636997875 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x^{2} \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)-80894833250 x^{2}-4274162200 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+8126849640 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-10183594050 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, x \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+36709314950 x -2991913540 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticE \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)+5688794748 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticF \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{i \sqrt{2}}{2}\right)-7128515835 \sqrt{11}\, \sqrt{-3 x +2}\, \sqrt{-2 x +5}\, \sqrt{4 x +1}\, \EllipticPi \left(\frac{2 \sqrt{-33 x +22}}{11}, \frac{55}{124}, \frac{i \sqrt{2}}{2}\right)+13846134500\right)}{703123130424 \left(24 x^{3}-70 x^{2}+21 x +10\right) \left(5 x +7\right)^{2}}"," ",0,"-1/703123130424*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(2902446300*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^2-1526486500*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x^2-3636997875*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x^2+8126849640*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-4274162200*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))*x-10183594050*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))*x+5688794748*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticF(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-2991913540*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticE(2/11*(-33*x+22)^(1/2),1/2*I*2^(1/2))-7128515835*11^(1/2)*(-3*x+2)^(1/2)*(-2*x+5)^(1/2)*(4*x+1)^(1/2)*EllipticPi(2/11*(-33*x+22)^(1/2),55/124,1/2*I*2^(1/2))+18317838000*x^4-20196304700*x^3-80894833250*x^2+36709314950*x+13846134500)/(24*x^3-70*x^2+21*x+10)/(5*x+7)^2","B"
68,1,552,120,0.027000," ","int((d*i*x+c*i)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\frac{2 \left(-c^{2} f h \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+c^{2} f h \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+c d e h \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-c d e h \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+c d f g \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-c d f g \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-d^{2} e g \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+d^{2} e g \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)\right) \sqrt{-\frac{\left(f x +e \right) d}{c f -d e}}\, \sqrt{-\frac{\left(h x +g \right) d}{c h -d g}}\, \sqrt{\frac{\left(d x +c \right) f}{c f -d e}}\, \sqrt{d x +c}\, \sqrt{f x +e}\, \sqrt{h x +g}\, i}{\left(d f h \,x^{3}+c f h \,x^{2}+d e h \,x^{2}+d f g \,x^{2}+c e h x +c f g x +d e g x +c e g \right) d f h}"," ",0,"2*i*(EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*c^2*f*h-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*c*d*e*h-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*c*d*f*g+EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*d^2*e*g-EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*c^2*f*h+EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*c*d*e*h+EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*c*d*f*g-EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*d^2*e*g)/d*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*((d*x+c)/(c*f-d*e)*f)^(1/2)/h/f*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(h*x+g)^(1/2)/(d*f*h*x^3+c*f*h*x^2+d*e*h*x^2+d*f*g*x^2+c*e*h*x+c*f*g*x+d*e*g*x+c*e*g)","B"
69,1,559,250,0.039000," ","int((b*x+a)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\frac{2 \left(a c d f h \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-a \,d^{2} e h \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-b \,c^{2} f h \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+b c d e h \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+b c d f g \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-b c d f g \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)-b \,d^{2} e g \EllipticE \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)+b \,d^{2} e g \EllipticF \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)\right) \sqrt{-\frac{\left(f x +e \right) d}{c f -d e}}\, \sqrt{-\frac{\left(h x +g \right) d}{c h -d g}}\, \sqrt{\frac{\left(d x +c \right) f}{c f -d e}}\, \sqrt{d x +c}\, \sqrt{f x +e}\, \sqrt{h x +g}}{\left(d f h \,x^{3}+c f h \,x^{2}+d e h \,x^{2}+d f g \,x^{2}+c e h x +c f g x +d e g x +c e g \right) d^{2} f h}"," ",0,"2*(EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*c*d*f*h-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*d^2*e*h-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d*f*g+EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*d^2*e*g-EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^2*f*h+EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d*e*h+EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d*f*g-EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*d^2*e*g)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*((d*x+c)/(c*f-d*e)*f)^(1/2)/h/f/d^2*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(h*x+g)^(1/2)/(d*f*h*x^3+c*f*h*x^2+d*e*h*x^2+d*f*g*x^2+c*e*h*x+c*f*g*x+d*e*g*x+c*e*g)","B"
70,1,223,148,0.030000," ","int(1/(b*x+a)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\frac{2 \sqrt{d x +c}\, \sqrt{f x +e}\, \sqrt{h x +g}\, \sqrt{\frac{\left(d x +c \right) f}{c f -d e}}\, \sqrt{-\frac{\left(h x +g \right) d}{c h -d g}}\, \sqrt{-\frac{\left(f x +e \right) d}{c f -d e}}\, \left(c f -d e \right) \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d e}}, -\frac{\left(c f -d e \right) b}{\left(a d -b c \right) f}, \sqrt{\frac{\left(c f -d e \right) h}{\left(c h -d g \right) f}}\right)}{\left(a d -b c \right) \left(d f h \,x^{3}+c f h \,x^{2}+d e h \,x^{2}+d f g \,x^{2}+c e h x +c f g x +d e g x +c e g \right) f}"," ",0,"2*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(h*x+g)^(1/2)/f*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*(c*f-d*e)/(a*d-b*c)/(d*f*h*x^3+c*f*h*x^2+d*e*h*x^2+d*f*g*x^2+c*e*h*x+c*f*g*x+d*e*g*x+c*e*g)","A"
71,1,2842,353,0.085000," ","int(1/(b*x+a)/(d*x+c)^(3/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\text{output too large to display}"," ",0,"-2*(d*x+c)^(1/2)*(f*x+e)^(1/2)*(h*x+g)^(1/2)*(-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^2*d*f^2*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*c^2*d*f^2*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*c*d^2*f^2*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*d^3*e*f*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^2*d*f^2*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^2*d*f^2*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d^2*e^2*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*c^2*d*f^2*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*c*d^2*f^2*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*d^3*e*f*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*c*d^2*e*f*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^2*d*e*f*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d^2*e*f*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*a*c*d^2*e*f*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^2*d*e*f*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d^2*e*f*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-2*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^2*d*e*f*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+2*EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c*d^2*e*f*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+x*a*d^3*e*f*h-x*b*c*d^2*f^2*g-x^2*b*c*d^2*f^2*h+x^2*a*d^3*f^2*h-b*c*d^2*e*f*g+x*a*d^3*f^2*g+a*d^3*e*f*g+EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^3*f^2*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-EllipticPi(((d*x+c)/(c*f-d*e)*f)^(1/2),-(c*f-d*e)/(a*d-b*c)*b/f,((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*d^3*e^2*g*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)+EllipticF(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^3*f^2*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-EllipticE(((d*x+c)/(c*f-d*e)*f)^(1/2),((c*f-d*e)/(c*h-d*g)/f*h)^(1/2))*b*c^3*f^2*h*((d*x+c)/(c*f-d*e)*f)^(1/2)*(-(h*x+g)/(c*h-d*g)*d)^(1/2)*(-(f*x+e)/(c*f-d*e)*d)^(1/2)-x*b*c*d^2*e*f*h)/f/(a*d-b*c)^2/(c*h-d*g)/(c*f-d*e)/(d*f*h*x^3+c*f*h*x^2+d*e*h*x^2+d*f*g*x^2+c*e*h*x+c*f*g*x+d*e*g*x+c*e*g)","B"
72,1,17330,781,0.283000," ","int(1/(b*x+a)/(d*x+c)^(5/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
73,1,184,71,0.105000," ","int(1/(b*x+a)/(d*x+c)^(1/2)/(-f*x+1)^(1/2)/(f*x+1)^(1/2),x)","-\frac{2 \left(c f -d \right) \sqrt{-\frac{\left(f x +1\right) d}{c f -d}}\, \sqrt{-\frac{\left(f x -1\right) d}{c f +d}}\, \sqrt{\frac{\left(d x +c \right) f}{c f -d}}\, \sqrt{f x +1}\, \sqrt{-f x +1}\, \sqrt{d x +c}\, \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d}}, -\frac{\left(c f -d \right) b}{\left(a d -b c \right) f}, \sqrt{\frac{c f -d}{c f +d}}\right)}{\left(a d -b c \right) \left(d \,f^{2} x^{3}+c \,f^{2} x^{2}-d x -c \right) f}"," ",0,"-2*(c*f-d)*EllipticPi(((d*x+c)*f/(c*f-d))^(1/2),-(c*f-d)*b/f/(a*d-b*c),((c*f-d)/(c*f+d))^(1/2))*(-(f*x+1)*d/(c*f-d))^(1/2)*(-(f*x-1)*d/(c*f+d))^(1/2)*((d*x+c)*f/(c*f-d))^(1/2)*(f*x+1)^(1/2)*(-f*x+1)^(1/2)*(d*x+c)^(1/2)/f/(a*d-b*c)/(d*f^2*x^3+c*f^2*x^2-d*x-c)","B"
74,1,181,71,0.028000," ","int(1/(b*x+a)/(d*x+c)^(1/2)/(-f^2*x^2+1)^(1/2),x)","-\frac{2 \left(c f -d \right) \sqrt{-\frac{\left(f x +1\right) d}{c f -d}}\, \sqrt{-\frac{\left(f x -1\right) d}{c f +d}}\, \sqrt{\frac{\left(d x +c \right) f}{c f -d}}\, \sqrt{-f^{2} x^{2}+1}\, \sqrt{d x +c}\, \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f}{c f -d}}, -\frac{\left(c f -d \right) b}{\left(a d -b c \right) f}, \sqrt{\frac{c f -d}{c f +d}}\right)}{\left(a d -b c \right) \left(d \,f^{2} x^{3}+c \,f^{2} x^{2}-d x -c \right) f}"," ",0,"-2*(c*f-d)*EllipticPi(((d*x+c)/(c*f-d)*f)^(1/2),-(c*f-d)/(a*d-b*c)*b/f,((c*f-d)/(c*f+d))^(1/2))*(-(f*x+1)/(c*f-d)*d)^(1/2)*(-(f*x-1)/(c*f+d)*d)^(1/2)*((d*x+c)/(c*f-d)*f)^(1/2)*(-f^2*x^2+1)^(1/2)*(d*x+c)^(1/2)/f/(a*d-b*c)/(d*f^2*x^3+c*f^2*x^2-d*x-c)","B"
75,1,212,83,0.147000," ","int(1/(b*x+a)/(d*x+c)^(1/2)/(-f^2*x+1)^(1/2)/(f^2*x+1)^(1/2),x)","-\frac{2 \left(c \,f^{2}-d \right) \sqrt{-\frac{\left(f^{2} x +1\right) d}{c \,f^{2}-d}}\, \sqrt{-\frac{\left(f^{2} x -1\right) d}{c \,f^{2}+d}}\, \sqrt{\frac{\left(d x +c \right) f^{2}}{c \,f^{2}-d}}\, \sqrt{f^{2} x +1}\, \sqrt{-f^{2} x +1}\, \sqrt{d x +c}\, \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f^{2}}{c \,f^{2}-d}}, -\frac{\left(c \,f^{2}-d \right) b}{\left(a d -b c \right) f^{2}}, \sqrt{\frac{c \,f^{2}-d}{c \,f^{2}+d}}\right)}{\left(a d -b c \right) \left(d \,f^{4} x^{3}+c \,f^{4} x^{2}-d x -c \right) f^{2}}"," ",0,"-2*(c*f^2-d)*EllipticPi(((d*x+c)*f^2/(c*f^2-d))^(1/2),-(c*f^2-d)*b/f^2/(a*d-b*c),((c*f^2-d)/(c*f^2+d))^(1/2))*(-(f^2*x+1)*d/(c*f^2-d))^(1/2)*(-(f^2*x-1)*d/(c*f^2+d))^(1/2)*((d*x+c)*f^2/(c*f^2-d))^(1/2)*(f^2*x+1)^(1/2)*(-f^2*x+1)^(1/2)*(d*x+c)^(1/2)/f^2/(a*d-b*c)/(d*f^4*x^3+c*f^4*x^2-d*x-c)","B"
76,1,205,83,0.030000," ","int(1/(b*x+a)/(d*x+c)^(1/2)/(-f^4*x^2+1)^(1/2),x)","-\frac{2 \left(c \,f^{2}-d \right) \sqrt{-\frac{\left(f^{2} x +1\right) d}{c \,f^{2}-d}}\, \sqrt{-\frac{\left(f^{2} x -1\right) d}{c \,f^{2}+d}}\, \sqrt{\frac{\left(d x +c \right) f^{2}}{c \,f^{2}-d}}\, \sqrt{-f^{4} x^{2}+1}\, \sqrt{d x +c}\, \EllipticPi \left(\sqrt{\frac{\left(d x +c \right) f^{2}}{c \,f^{2}-d}}, -\frac{\left(c \,f^{2}-d \right) b}{\left(a d -b c \right) f^{2}}, \sqrt{\frac{c \,f^{2}-d}{c \,f^{2}+d}}\right)}{\left(a d -b c \right) \left(d \,f^{4} x^{3}+c \,f^{4} x^{2}-d x -c \right) f^{2}}"," ",0,"-2*(c*f^2-d)*EllipticPi(((d*x+c)/(c*f^2-d)*f^2)^(1/2),-(c*f^2-d)/(a*d-b*c)*b/f^2,((c*f^2-d)/(c*f^2+d))^(1/2))*(-(f^2*x+1)/(c*f^2-d)*d)^(1/2)*(-(f^2*x-1)/(c*f^2+d)*d)^(1/2)*((d*x+c)/(c*f^2-d)*f^2)^(1/2)*(-f^4*x^2+1)^(1/2)*(d*x+c)^(1/2)/f^2/(a*d-b*c)/(d*f^4*x^3+c*f^4*x^2-d*x-c)","B"
77,1,895,422,0.081000," ","int((5*x+7)^(5/2)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2),x)","\frac{\sqrt{5 x +7}\, \sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(170798284800000 x^{7}+306369423360000 x^{6}-1238644382976000 x^{5}-3644179735996800 x^{4}-3411264539482800 x^{3}-896111886589920 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+62433731183120 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-684857410441904 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+18436555308411240 x^{2}-448055943294960 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+31216865591560 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-342428705220952 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+15642366908265240 x -56006992911870 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+3902108198945 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-42803588152619 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-16765465556439600\right)}{34159656960000 x^{4}-51808813056000 x^{3}-109595566080000 x^{2}+56078770176000 x +19926466560000}"," ",0,"1/284663808000*(5*x+7)^(1/2)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(62433731183120*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-684857410441904*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-896111886589920*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+31216865591560*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-342428705220952*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-448055943294960*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+3902108198945*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-42803588152619*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-56006992911870*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+170798284800000*x^7+306369423360000*x^6-1238644382976000*x^5-3644179735996800*x^4-3411264539482800*x^3+18436555308411240*x^2+15642366908265240*x-16765465556439600)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
78,1,890,392,0.023000," ","int((5*x+7)^(3/2)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2),x)","\frac{\sqrt{5 x +7}\, \sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(1779148800000 x^{6}+172972800000 x^{5}-15028885872000 x^{4}-19217018449200 x^{3}-2727622291680 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+201797192080 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1722852836656 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+57824907614760 x^{2}-1363811145840 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+100898596040 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-861426418328 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+50120755215960 x -170476393230 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+12612324505 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-107678302291 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-50630167988400\right)}{1423319040000 x^{4}-2158700544000 x^{3}-4566481920000 x^{2}+2336615424000 x +830269440000}"," ",0,"1/11860992000*(5*x+7)^(1/2)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(201797192080*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-1722852836656*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-2727622291680*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+100898596040*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-861426418328*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-1363811145840*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+12612324505*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-107678302291*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-170476393230*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+1779148800000*x^6+172972800000*x^5-15028885872000*x^4-19217018449200*x^3+57824907614760*x^2+50120755215960*x-50630167988400)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
79,1,885,362,0.020000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(5*x+7)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \sqrt{5 x +7}\, \left(-4942080000 x^{5}+9369360000 x^{4}+33132699600 x^{3}+2682519840 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-454813040 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+780517328 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-49668641880 x^{2}+1341259920 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-227406520 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+390258664 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-55468893480 x +167657490 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-28425815 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+48782333 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+48037189200\right)}{123552000 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right)}"," ",0,"-1/123552000*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(5*x+7)^(1/2)*(780517328*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))+2682519840*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-454813040*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+390258664*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))+1341259920*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-227406520*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+48782333*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))+167657490*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-28425815*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-4942080000*x^5+9369360000*x^4+33132699600*x^3-49668641880*x^2-55468893480*x+48037189200)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
80,1,880,332,0.035000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^(1/2),x)","\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \sqrt{5 x +7}\, \left(61776000 x^{4}-313513200 x^{3}-29309280 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+15321680 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+11975824 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+190149960 x^{2}-14654640 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+7660840 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+5987912 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+709583160 x -1831830 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+957605 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+748489 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-476876400\right)}{617760000 x^{4}-936936000 x^{3}-1981980000 x^{2}+1014156000 x +360360000}"," ",0,"1/5148000*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(5*x+7)^(1/2)*(15321680*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+11975824*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-29309280*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+7660840*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+5987912*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-14654640*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+957605*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+748489*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-1831830*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-313513200*x^3+61776000*x^4+190149960*x^2+709583160*x-476876400)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
81,1,875,332,0.046000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^(3/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \sqrt{5 x +7}\, \left(-514800 x^{3}-205920 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+157520 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+157136 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-274560 x^{2}-102960 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+78760 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+78568 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+5173740 x -12870 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+9845 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+9821 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-3174600\right)}{107250 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right)}"," ",0,"-1/107250*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(5*x+7)^(1/2)*(157520*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+157136*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-205920*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+78760*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+78568*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-102960*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+9845*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+9821*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-12870*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-514800*x^3-274560*x^2+5173740*x-3174600)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
82,1,1149,362,0.047000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^(5/2),x)","\frac{2 \left(-39393200 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+24389200 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+23614560 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-523292550 x^{3}-74847080 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+46339480 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+44867664 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1135538635 x^{2}-30037315 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+18596765 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+18006102 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+779434810 x -3446905 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+2134055 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+2066274 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-869257400\right) \sqrt{4 x +1}\, \sqrt{2 x -5}\, \sqrt{-3 x +2}}{114703875 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right) \sqrt{5 x +7}}"," ",0,"2/114703875*(24389200*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+23614560*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))*x^3-39393200*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+46339480*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+44867664*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-74847080*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+18596765*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+18006102*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-30037315*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+2134055*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+2066274*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-3446905*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-523292550*x^3+1135538635*x^2+779434810*x-869257400)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(-3*x+2)^(1/2)/(120*x^4-182*x^3-385*x^2+197*x+70)/(5*x+7)^(1/2)","B"
83,1,973,311,0.048000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^(7/2),x)","-\frac{2 \left(285269600 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{4} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+17811200 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{4} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-3514495404 x^{4}+941389680 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+58776960 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+19294337060 x^{3}+976335206 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+60958832 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-26198770563 x^{2}+329486388 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+20571936 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-3855274122 x +34945526 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+2181872 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+9191461480\right) \sqrt{4 x +1}\, \sqrt{2 x -5}\, \sqrt{-3 x +2}}{11598438735 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right) \left(5 x +7\right)^{\frac{3}{2}}}"," ",0,"-2/11598438735*(17811200*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^4+285269600*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^4+58776960*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+941389680*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+60958832*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+976335206*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+20571936*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+329486388*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+2181872*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+34945526*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-3514495404*x^4+19294337060*x^3-26198770563*x^2-3855274122*x+9191461480)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(-3*x+2)^(1/2)/(120*x^4-182*x^3-385*x^2+197*x+70)/(5*x+7)^(3/2)","B"
84,1,1160,341,0.051000," ","int((-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^(9/2),x)","-\frac{2 \left(32843987836000 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{5} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+4737011092000 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{5} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+5810951702460 x^{5}+154366742829200 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{4} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+22263952132400 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{4} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-173342585590346 x^{4}+264147772171030 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+38097411707410 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+2153615020704860 x^{3}+195306773666774 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+28168636458578 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-4639703191080657 x^{2}+57132116840722 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+8240030794534 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+51366440607272 x +5632743913874 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+812397402278 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1423213141652020\right) \sqrt{4 x +1}\, \sqrt{2 x -5}\, \sqrt{-3 x +2}}{2257624501329015 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right) \left(5 x +7\right)^{\frac{5}{2}}}"," ",0,"-2/2257624501329015*(4737011092000*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^5+32843987836000*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^5+22263952132400*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^4+154366742829200*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^4+38097411707410*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+264147772171030*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+28168636458578*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+195306773666774*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+8240030794534*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+57132116840722*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+812397402278*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+5632743913874*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+5810951702460*x^5-173342585590346*x^4+2153615020704860*x^3-4639703191080657*x^2+51366440607272*x+1423213141652020)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(-3*x+2)^(1/2)/(120*x^4-182*x^3-385*x^2+197*x+70)/(5*x+7)^(5/2)","B"
85,1,890,392,0.042000," ","int((5*x+7)^(5/2)*(-3*x+2)^(1/2)*(4*x+1)^(1/2)/(2*x-5)^(1/2),x)","-\frac{\sqrt{5 x +7}\, \sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{2 x -5}\, \left(-355829760000 x^{6}-1884909312000 x^{5}-4310675740800 x^{4}-13248043620240 x^{3}-4571906470560 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+424170712240 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-3936108068752 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+85680578188920 x^{2}-2285953235280 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+212085356120 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1968054034376 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+78464986845960 x -285744154410 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+26510669515 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-246006754297 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-85333953104400\right)}{948879360 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right)}"," ",0,"-1/948879360*(5*x+7)^(1/2)*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(424170712240*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-3936108068752*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-4571906470560*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+212085356120*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-1968054034376*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-2285953235280*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+26510669515*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-246006754297*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-285744154410*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-355829760000*x^6-1884909312000*x^5-4310675740800*x^4-13248043620240*x^3+85680578188920*x^2+78464986845960*x-85333953104400)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
86,1,885,362,0.024000," ","int((5*x+7)^(3/2)*(-3*x+2)^(1/2)*(4*x+1)^(1/2)/(2*x-5)^(1/2),x)","-\frac{\sqrt{5 x +7}\, \sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{2 x -5}\, \left(-4942080000 x^{5}-19541808000 x^{4}-45650233200 x^{3}-13668351840 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1240732240 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-11433436528 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+259737071880 x^{2}-6834175920 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+620366120 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-5716718264 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+236349193080 x -854271990 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+77545765 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-714589783 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-254967913200\right)}{49420800 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right)}"," ",0,"-1/49420800*(5*x+7)^(1/2)*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(1240732240*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-11433436528*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-13668351840*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+620366120*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-5716718264*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-6834175920*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+77545765*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-714589783*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-854271990*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-4942080000*x^5-19541808000*x^4-45650233200*x^3+259737071880*x^2+236349193080*x-254967913200)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
87,1,880,332,0.022000," ","int((-3*x+2)^(1/2)*(4*x+1)^(1/2)*(5*x+7)^(1/2)/(2*x-5)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{5 x +7}\, \sqrt{2 x -5}\, \left(-61776000 x^{4}-168339600 x^{3}-34937760 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+3622960 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-26098192 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+661123320 x^{2}-17468880 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1811480 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-13049096 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+623542920 x -2183610 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+226435 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1631137 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-647446800\right)}{2059200 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right)}"," ",0,"-1/2059200*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(5*x+7)^(1/2)*(2*x-5)^(1/2)*(3622960*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-26098192*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-34937760*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+1811480*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-13049096*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-17468880*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+226435*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-1631137*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-2183610*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-168339600*x^3-61776000*x^4+661123320*x^2+623542920*x-647446800)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
88,1,875,450,0.026000," ","int((-3*x+2)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^(1/2)/(2*x-5)^(1/2),x)","-\frac{\sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{5 x +7}\, \sqrt{2 x -5}\, \left(-514800 x^{3}-68640 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+20240 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-15088 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+909480 x^{2}-34320 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+10120 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-7544 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1424280 x -4290 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1265 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-943 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1201200\right)}{42900 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right)}"," ",0,"-1/42900*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(5*x+7)^(1/2)*(2*x-5)^(1/2)*(20240*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-15088*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-68640*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+10120*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-7544*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-34320*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+1265*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-943*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-4290*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-514800*x^3+909480*x^2+1424280*x-1201200)/(120*x^4-182*x^3-385*x^2+197*x+70)","A"
89,1,870,216,0.029000," ","int((-3*x+2)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^(3/2)/(2*x-5)^(1/2),x)","\frac{2 \sqrt{-3 x +2}\, \sqrt{4 x +1}\, \sqrt{5 x +7}\, \sqrt{2 x -5}\, \left(-880 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+880 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1104 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-7590 x^{2}-440 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+440 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+552 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+24035 x -55 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+55 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+69 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-12650\right)}{10725 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right)}"," ",0,"2/10725*(-3*x+2)^(1/2)*(4*x+1)^(1/2)*(5*x+7)^(1/2)*(2*x-5)^(1/2)*(1104*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-880*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+880*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+552*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-440*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+440*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+69*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-55*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+55*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-7590*x^2+24035*x-12650)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
90,1,786,281,0.030000," ","int((-3*x+2)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^(5/2)/(2*x-5)^(1/2),x)","-\frac{2 \left(-74800 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+20240 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1312518 x^{3}-142120 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+38456 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+3086255 x^{2}-57035 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+15433 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1200968 x -6545 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1771 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1783420\right) \sqrt{2 x -5}\, \sqrt{4 x +1}\, \sqrt{-3 x +2}}{3253419 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right) \sqrt{5 x +7}}"," ",0,"-2/3253419*(20240*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3-74800*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+38456*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-142120*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+15433*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-57035*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+1771*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-6545*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-1312518*x^3+3086255*x^2+1200968*x-1783420)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(-3*x+2)^(1/2)/(120*x^4-182*x^3-385*x^2+197*x+70)/(5*x+7)^(1/2)","B"
91,1,973,311,0.031000," ","int((-3*x+2)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^(7/2)/(2*x-5)^(1/2),x)","\frac{2 \left(818593600 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{4} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-126500000 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{4} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+5843757936 x^{4}+2701358880 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-417450000 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+10390893586 x^{3}+2801636596 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-432946250 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-65568669813 x^{2}+945475608 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-146107500 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-3127552098 x +100277716 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-15496250 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+26993559920\right) \sqrt{2 x -5}\, \sqrt{4 x +1}\, \sqrt{-3 x +2}}{90467822133 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right) \left(5 x +7\right)^{\frac{3}{2}}}"," ",0,"2/90467822133*(818593600*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^4-126500000*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^4+2701358880*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3-417450000*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+2801636596*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-432946250*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+945475608*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-146107500*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+100277716*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-15496250*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+5843757936*x^4+10390893586*x^3-65568669813*x^2-3127552098*x+26993559920)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(-3*x+2)^(1/2)/(120*x^4-182*x^3-385*x^2+197*x+70)/(5*x+7)^(3/2)","B"
92,1,1160,341,0.035000," ","int((-3*x+2)^(1/2)*(4*x+1)^(1/2)/(5*x+7)^(9/2)/(2*x-5)^(1/2),x)","\frac{2 \left(8188888268000 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{5} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-175178212000 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{5} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+33052545587580 x^{5}+38487774859600 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{4} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-823337596400 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{4} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+83732628367442 x^{4}+65859133895390 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1408870770010 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-43651554581534 x^{3}+48695224085662 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1041697237658 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1041927172311711 x^{2}+14244571142186 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-304722499774 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+131120048990980 x +1404394337962 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-30043063358 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+367706794166900\right) \sqrt{2 x -5}\, \sqrt{4 x +1}\, \sqrt{-3 x +2}}{1956607901151813 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right) \left(5 x +7\right)^{\frac{5}{2}}}"," ",0,"2/1956607901151813*(8188888268000*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^5-175178212000*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^5+38487774859600*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^4-823337596400*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^4+65859133895390*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3-1408870770010*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+48695224085662*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-1041697237658*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+14244571142186*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-304722499774*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+1404394337962*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-30043063358*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+33052545587580*x^5+83732628367442*x^4-43651554581534*x^3-1041927172311711*x^2+131120048990980*x+367706794166900)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(-3*x+2)^(1/2)/(120*x^4-182*x^3-385*x^2+197*x+70)/(5*x+7)^(5/2)","B"
93,1,885,362,0.041000," ","int((5*x+7)^(5/2)*(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","-\frac{\sqrt{5 x +7}\, \sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-988416000 x^{5}-5613379200 x^{4}-17697760080 x^{3}-4220824608 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+193959920 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-3508783952 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+77122472856 x^{2}-2110412304 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+96979960 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1754391976 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+75329218536 x -263801538 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+12122495 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-219298997 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-78013375440\right)}{7907328 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right)}"," ",0,"-1/7907328*(5*x+7)^(1/2)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(193959920*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-3508783952*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-4220824608*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+96979960*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-1754391976*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-2110412304*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+12122495*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-219298997*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-263801538*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-988416000*x^5-5613379200*x^4-17697760080*x^3+77122472856*x^2+75329218536*x-78013375440)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
94,1,880,332,0.027000," ","int((5*x+7)^(3/2)*(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{\sqrt{5 x +7}\, \sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(61776000 x^{4}+310424400 x^{3}+53882400 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1963280 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+44278864 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-912139800 x^{2}+26941200 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+981640 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+22139432 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1016644200 x +3367650 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+122705 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+2767429 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+978978000\right)}{197683200 x^{4}-299819520 x^{3}-634233600 x^{2}+324529920 x +115315200}"," ",0,"1/1647360*(5*x+7)^(1/2)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(1963280*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+44278864*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))+53882400*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+981640*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+22139432*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))+26941200*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+122705*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+2767429*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))+3367650*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+310424400*x^3+61776000*x^4-912139800*x^2-1016644200*x+978978000)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
95,1,875,450,0.026000," ","int((5*x+7)^(1/2)*(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{\sqrt{5 x +7}\, \sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(514800 x^{3}+68640 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+20240 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+65872 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-909480 x^{2}+34320 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+10120 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+32936 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1424280 x +4290 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1265 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+4117 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1201200\right)}{4118400 x^{4}-6246240 x^{3}-13213200 x^{2}+6761040 x +2402400}"," ",0,"1/34320*(5*x+7)^(1/2)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(20240*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+65872*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))+68640*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+10120*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+32936*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))+34320*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+1265*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+4117*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))+4290*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+514800*x^3-909480*x^2-1424280*x+1201200)/(120*x^4-182*x^3-385*x^2+197*x+70)","A"
96,1,172,81,0.028000," ","int((-3*x+2)^(1/2)/(5*x+7)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{\left(55 \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+69 \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)\right) \sqrt{\frac{3 x -2}{4 x +1}}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{13}\, \sqrt{3}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{11}\, \left(4 x +1\right)^{\frac{3}{2}} \sqrt{2 x -5}\, \sqrt{5 x +7}\, \sqrt{-3 x +2}}{128700 x^{3}-227370 x^{2}-356070 x +300300}"," ",0,"1/4290*(55*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+69*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2)))*((3*x-2)/(4*x+1))^(1/2)*((2*x-5)/(4*x+1))^(1/2)*13^(1/2)*3^(1/2)*((5*x+7)/(4*x+1))^(1/2)*11^(1/2)*(4*x+1)^(3/2)*(2*x-5)^(1/2)*(5*x+7)^(1/2)*(-3*x+2)^(1/2)/(30*x^3-53*x^2-83*x+70)","B"
97,1,330,44,0.030000," ","int((-3*x+2)^(1/2)/(5*x+7)^(3/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{2 \sqrt{-3 x +2}\, \sqrt{5 x +7}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(16 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+138 x^{2}+8 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-437 x +\sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+230\right)}{897 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right)}"," ",0,"2/897*(-3*x+2)^(1/2)*(5*x+7)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(16*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+8*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+138*x^2-437*x+230)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
98,1,786,281,0.032000," ","int((-3*x+2)^(1/2)/(5*x+7)^(5/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{2 \left(786640 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+101200 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+3447930 x^{3}+1494616 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+192280 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-2253977 x^{2}+599813 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+77165 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-21690932 x +68831 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+8855 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+14440780\right) \sqrt{4 x +1}\, \sqrt{2 x -5}\, \sqrt{-3 x +2}}{74828637 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right) \sqrt{5 x +7}}"," ",0,"2/74828637*(101200*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+786640*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+192280*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+1494616*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+77165*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+599813*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+8855*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+68831*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+3447930*x^3-2253977*x^2-21690932*x+14440780)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(-3*x+2)^(1/2)/(120*x^4-182*x^3-385*x^2+197*x+70)/(5*x+7)^(1/2)","B"
99,1,18077,656,0.157000," ","int((b*x+a)^(1/2)*(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
100,1,4590,251,0.128000," ","int((d*x+c)^(1/2)/(b*x+a)^(3/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\text{output too large to display}"," ",0,"2*(-2*EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*c*e*f*h^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-2*EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*b*d*e*f*g^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*d*f^2*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*b*c*f^2*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*d*f^2*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*b*c*f^2*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*c*e*f*h^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*b*d*e*f*g^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*c*f^2*h^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*b*d*f^2*g^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*c*f^2*h^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*b*d*f^2*g^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*d*e^2*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*b*c*e^2*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*d*e^2*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*b*c*e^2*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+a*c*e*f*g*h-x^2*b*d*e^2*h^2-a*c*f^2*g^2-2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*d*e*f*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*b*c*e*f*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+2*EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*d*e*f*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+2*EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*b*c*e*f*g*h*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)+x^2*a*d*e*f*h^2+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*b*d*e^2*g^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*c*e^2*h^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*b*d*e^2*g^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-x*a*d*f^2*g^2-x*b*c*e^2*h^2-b*c*e^2*g*h+b*c*e*f*g^2+x*b*d*e*f*g^2+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*c*e^2*h^2*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)-x^2*a*d*f^2*g*h+x*a*c*e*f*h^2-x*a*c*f^2*g*h-x*b*d*e^2*g*h+x^2*b*d*e*f*g*h+x*a*d*e*f*g*h+x*b*c*e*f*g*h)/(h*x+g)^(1/2)/(f*x+e)^(1/2)/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(e*h-f*g)/(a*h-b*g)/(a*f-b*e)","B"
101,1,880,332,0.041000," ","int((5*x+7)^(5/2)/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{\sqrt{5 x +7}\, \sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-20592000 x^{4}-188588400 x^{3}-29309280 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+11088208 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-40739440 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+454413960 x^{2}-14654640 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+5544104 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-20369720 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+574362360 x -1831830 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+693013 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-2546215 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-524924400\right)}{39536640 x^{4}-59963904 x^{3}-126846720 x^{2}+64905984 x +23063040}"," ",0,"1/329472*(5*x+7)^(1/2)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(11088208*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-40739440*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-29309280*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+5544104*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-20369720*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-14654640*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+693013*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-2546215*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-1831830*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-188588400*x^3-20592000*x^4+454413960*x^2+574362360*x-524924400)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
102,1,875,530,0.029000," ","int((5*x+7)^(3/2)/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{\sqrt{5 x +7}\, \sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(-514800 x^{3}-68640 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+71024 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-157136 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+909480 x^{2}-34320 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+35512 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-78568 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1424280 x -4290 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+4439 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-9821 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-1201200\right)}{2471040 x^{4}-3747744 x^{3}-7927920 x^{2}+4056624 x +1441440}"," ",0,"1/20592*(5*x+7)^(1/2)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(71024*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-157136*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-68640*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+35512*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-78568*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-34320*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+4439*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-9821*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2))-4290*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-514800*x^3+909480*x^2+1424280*x-1201200)/(120*x^4-182*x^3-385*x^2+197*x+70)","A"
103,1,170,80,0.026000," ","int((5*x+7)^(1/2)/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{23 \left(\EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-\EllipticPi \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{124}{55}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)\right) \sqrt{\frac{3 x -2}{4 x +1}}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{13}\, \sqrt{3}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{11}\, \left(4 x +1\right)^{\frac{3}{2}} \sqrt{2 x -5}\, \sqrt{-3 x +2}\, \sqrt{5 x +7}}{858 \left(30 x^{3}-53 x^{2}-83 x +70\right)}"," ",0,"23/858*(EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))-EllipticPi(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),124/55,1/39*31^(1/2)*78^(1/2)))*((3*x-2)/(4*x+1))^(1/2)*((2*x-5)/(4*x+1))^(1/2)*13^(1/2)*3^(1/2)*((5*x+7)/(4*x+1))^(1/2)*11^(1/2)*(4*x+1)^(3/2)*(2*x-5)^(1/2)*(-3*x+2)^(1/2)*(5*x+7)^(1/2)/(30*x^3-53*x^2-83*x+70)","B"
104,1,134,115,0.026000," ","int(1/(5*x+7)^(1/2)/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{2 \sqrt{\frac{3 x -2}{4 x +1}}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{13}\, \sqrt{3}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{11}\, \left(4 x +1\right)^{\frac{3}{2}} \sqrt{2 x -5}\, \sqrt{-3 x +2}\, \sqrt{5 x +7}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)}{429 \left(30 x^{3}-53 x^{2}-83 x +70\right)}"," ",0,"2/429*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*((3*x-2)/(4*x+1))^(1/2)*((2*x-5)/(4*x+1))^(1/2)*13^(1/2)*3^(1/2)*((5*x+7)/(4*x+1))^(1/2)*11^(1/2)*(4*x+1)^(3/2)*(2*x-5)^(1/2)*(-3*x+2)^(1/2)*(5*x+7)^(1/2)/(30*x^3-53*x^2-83*x+70)","A"
105,1,599,155,0.032000," ","int(1/(5*x+7)^(3/2)/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{2 \sqrt{5 x +7}\, \sqrt{-3 x +2}\, \sqrt{2 x -5}\, \sqrt{4 x +1}\, \left(880 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1104 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+7590 x^{2}+440 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+552 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-24035 x +55 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+69 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+12650\right)}{305877 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right)}"," ",0,"2/305877*(5*x+7)^(1/2)*(-3*x+2)^(1/2)*(2*x-5)^(1/2)*(4*x+1)^(1/2)*(1104*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+880*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+552*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+440*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+69*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+55*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+7590*x^2-24035*x+12650)/(120*x^4-182*x^3-385*x^2+197*x+70)","B"
106,1,786,281,0.035000," ","int(1/(5*x+7)^(5/2)/(-3*x+2)^(1/2)/(2*x-5)^(1/2)/(4*x+1)^(1/2),x)","\frac{2 \left(78786400 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+50128960 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{3} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+496006500 x^{3}+149694160 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+95245024 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x^{2} \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-665223020 x^{2}+60074630 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+38223332 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, x \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)-2040625895 x +6893810 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticE \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+4386284 \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}\, \sqrt{3}\, \sqrt{13}\, \sqrt{\frac{2 x -5}{4 x +1}}\, \sqrt{\frac{3 x -2}{4 x +1}}\, \EllipticF \left(\frac{\sqrt{31}\, \sqrt{11}\, \sqrt{\frac{5 x +7}{4 x +1}}}{31}, \frac{\sqrt{31}\, \sqrt{78}}{39}\right)+1509107050\right) \sqrt{4 x +1}\, \sqrt{2 x -5}\, \sqrt{-3 x +2}}{25516565217 \left(120 x^{4}-182 x^{3}-385 x^{2}+197 x +70\right) \sqrt{5 x +7}}"," ",0,"2/25516565217*(50128960*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+78786400*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))*x^3+95245024*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+149694160*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x^2*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+38223332*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+60074630*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*x*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+4386284*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticF(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+6893810*11^(1/2)*((5*x+7)/(4*x+1))^(1/2)*3^(1/2)*13^(1/2)*((2*x-5)/(4*x+1))^(1/2)*((3*x-2)/(4*x+1))^(1/2)*EllipticE(1/31*31^(1/2)*11^(1/2)*((5*x+7)/(4*x+1))^(1/2),1/39*31^(1/2)*78^(1/2))+496006500*x^3-665223020*x^2-2040625895*x+1509107050)*(4*x+1)^(1/2)*(2*x-5)^(1/2)*(-3*x+2)^(1/2)/(120*x^4-182*x^3-385*x^2+197*x+70)/(5*x+7)^(1/2)","B"
107,1,16526,884,0.102000," ","int((b*x+a)^(3/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
108,1,2465,209,0.060000," ","int((b*x+a)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\frac{2 \left(a^{2} f^{3} h^{2} x^{2} \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-a b e \,f^{2} h^{2} x^{2} \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+a b e \,f^{2} h^{2} x^{2} \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-a b \,f^{3} g h \,x^{2} \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-a b \,f^{3} g h \,x^{2} \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+b^{2} e \,f^{2} g h \,x^{2} \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-b^{2} e \,f^{2} g h \,x^{2} \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+b^{2} f^{3} g^{2} x^{2} \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+2 a^{2} e \,f^{2} h^{2} x \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-2 a b \,e^{2} f \,h^{2} x \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+2 a b \,e^{2} f \,h^{2} x \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-2 a b e \,f^{2} g h x \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-2 a b e \,f^{2} g h x \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+2 b^{2} e^{2} f g h x \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-2 b^{2} e^{2} f g h x \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+2 b^{2} e \,f^{2} g^{2} x \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+a^{2} e^{2} f \,h^{2} \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-a b \,e^{3} h^{2} \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+a b \,e^{3} h^{2} \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-a b \,e^{2} f g h \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-a b \,e^{2} f g h \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+b^{2} e^{3} g h \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)-b^{2} e^{3} g h \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)+b^{2} e^{2} f \,g^{2} \EllipticPi \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \frac{\left(a h -b g \right) f}{\left(a f -b e \right) h}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)\right) \sqrt{\frac{\left(e h -f g \right) \left(b x +a \right)}{\left(a h -b g \right) \left(f x +e \right)}}\, \sqrt{\frac{\left(e h -f g \right) \left(d x +c \right)}{\left(c h -d g \right) \left(f x +e \right)}}\, \sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}}{\sqrt{h x +g}\, \sqrt{f x +e}\, \sqrt{d x +c}\, \sqrt{b x +a}\, \left(e h -f g \right) \left(a f -b e \right) f h}"," ",0,"2*(EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a^2*f^3*h^2-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*b*e*f^2*h^2-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*b*f^3*g*h+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*b^2*e*f^2*g*h+EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*b*e*f^2*h^2-EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*b*f^3*g*h-EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*b^2*e*f^2*g*h+EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*b^2*f^3*g^2+2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a^2*e*f^2*h^2-2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*b*e^2*f*h^2-2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*b*e*f^2*g*h+2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*b^2*e^2*f*g*h+2*EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*b*e^2*f*h^2-2*EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*b*e*f^2*g*h-2*EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*b^2*e^2*f*g*h+2*EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*b^2*e*f^2*g^2+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a^2*e^2*f*h^2-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*b*e^3*h^2-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*b*e^2*f*g*h+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*b^2*e^3*g*h+EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*b*e^3*h^2-EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*b*e^2*f*g*h-EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*b^2*e^3*g*h+EllipticPi(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),(a*h-b*g)*f/h/(a*f-b*e),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*b^2*e^2*f*g^2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)/h/f/(h*x+g)^(1/2)/(f*x+e)^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)/(e*h-f*g)/(a*f-b*e)","B"
109,1,270,251,0.066000," ","int(1/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\frac{2 \sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}\, \sqrt{\frac{\left(e h -f g \right) \left(d x +c \right)}{\left(c h -d g \right) \left(f x +e \right)}}\, \sqrt{\frac{\left(e h -f g \right) \left(b x +a \right)}{\left(a h -b g \right) \left(f x +e \right)}}\, \left(a \,f^{2} h \,x^{2}-b \,f^{2} g \,x^{2}+2 a e f h x -2 b e f g x +a \,e^{2} h -b \,e^{2} g \right) \EllipticF \left(\sqrt{\frac{\left(a f -b e \right) \left(h x +g \right)}{\left(a h -b g \right) \left(f x +e \right)}}, \sqrt{\frac{\left(c f -d e \right) \left(a h -b g \right)}{\left(c h -d g \right) \left(a f -b e \right)}}\right)}{\sqrt{h x +g}\, \sqrt{f x +e}\, \sqrt{d x +c}\, \sqrt{b x +a}\, \left(e h -f g \right) \left(a f -b e \right)}"," ",0,"2/(h*x+g)^(1/2)/(f*x+e)^(1/2)/(d*x+c)^(1/2)/(b*x+a)^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*(a*f^2*h*x^2-b*f^2*g*x^2+2*a*e*f*h*x-2*b*e*f*g*x+a*e^2*h-b*e^2*g)/(e*h-f*g)/(a*f-b*e)","A"
110,1,4660,391,0.113000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\text{output too large to display}"," ",0,"2/(b*x+a)^(1/2)/(d*x+c)^(1/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2)*(-2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*b*d*e*f*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-2*EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*b*d*e*f*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+x*b^2*d*e^2*g*h-x*b^2*d*e*f*g^2+EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*b*c*f^2*h^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*b^2*c*f^2*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a^2*d*e*f*h^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+2*EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*b^2*d*e*f*g^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*b*d*e^2*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*b*d*e^2*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*b*c*f^2*h^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*b^2*c*f^2*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+x^2*b^2*d*e^2*h^2+x*b^2*c*e^2*h^2+a*b*c*f^2*g^2+b^2*c*e^2*g*h-b^2*c*e*f*g^2-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*b*d*f^2*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a*b*d*f^2*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*b*c*e*f*h^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+2*EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*b^2*c*e*f*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+2*EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*a*b*c*e*f*h^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-2*EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x*b^2*c*e*f*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+x*a*b*d*f^2*g^2+EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*b^2*d*f^2*g^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*b*c*e^2*h^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*b^2*c*e^2*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a*b*c*e^2*h^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*b^2*c*e^2*g*h*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*x^2*a^2*d*f^2*h^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+EllipticF(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*a^2*d*e^2*h^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)+EllipticE(((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2),((c*f-d*e)*(a*h-b*g)/(c*h-d*g)/(a*f-b*e))^(1/2))*b^2*d*e^2*g^2*((e*h-f*g)*(b*x+a)/(a*h-b*g)/(f*x+e))^(1/2)*((a*f-b*e)*(h*x+g)/(a*h-b*g)/(f*x+e))^(1/2)*((e*h-f*g)*(d*x+c)/(c*h-d*g)/(f*x+e))^(1/2)-x*a*b*d*e*f*g*h-x^2*a*b*d*e*f*h^2+x^2*a*b*d*f^2*g*h-x^2*b^2*d*e*f*g*h-x*a*b*c*e*f*h^2+x*a*b*c*f^2*g*h-x*b^2*c*e*f*g*h-a*b*c*e*f*g*h)/(e*h-f*g)/(a*h-b*g)/(a*f-b*e)/(a*d-b*c)","B"
111,1,21102,724,0.253000," ","int(1/(b*x+a)^(3/2)/(d*x+c)^(3/2)/(f*x+e)^(1/2)/(h*x+g)^(1/2),x)","\text{output too large to display}"," ",0,"result too large to display","B"
112,0,0,323,0.261000," ","int(x^4*(f*x+e)^n/(b*x+a)/(d*x+c),x)","\int \frac{x^{4} \left(f x +e \right)^{n}}{\left(b x +a \right) \left(d x +c \right)}\, dx"," ",0,"int(x^4*(f*x+e)^n/(b*x+a)/(d*x+c),x)","F"
113,0,0,220,0.275000," ","int(x^3*(f*x+e)^n/(b*x+a)/(d*x+c),x)","\int \frac{x^{3} \left(f x +e \right)^{n}}{\left(b x +a \right) \left(d x +c \right)}\, dx"," ",0,"int(x^3*(f*x+e)^n/(b*x+a)/(d*x+c),x)","F"
114,0,0,162,0.252000," ","int(x^2*(f*x+e)^n/(b*x+a)/(d*x+c),x)","\int \frac{x^{2} \left(f x +e \right)^{n}}{\left(b x +a \right) \left(d x +c \right)}\, dx"," ",0,"int(x^2*(f*x+e)^n/(b*x+a)/(d*x+c),x)","F"
115,0,0,128,0.247000," ","int(x*(f*x+e)^n/(b*x+a)/(d*x+c),x)","\int \frac{x \left(f x +e \right)^{n}}{\left(b x +a \right) \left(d x +c \right)}\, dx"," ",0,"int(x*(f*x+e)^n/(b*x+a)/(d*x+c),x)","F"
116,0,0,128,0.248000," ","int((f*x+e)^n/(b*x+a)/(d*x+c),x)","\int \frac{\left(f x +e \right)^{n}}{\left(b x +a \right) \left(d x +c \right)}\, dx"," ",0,"int((f*x+e)^n/(b*x+a)/(d*x+c),x)","F"
117,0,0,181,0.248000," ","int((f*x+e)^n/x/(b*x+a)/(d*x+c),x)","\int \frac{\left(f x +e \right)^{n}}{\left(b x +a \right) \left(d x +c \right) x}\, dx"," ",0,"int((f*x+e)^n/x/(b*x+a)/(d*x+c),x)","F"
118,0,0,230,0.249000," ","int((f*x+e)^n/x^2/(b*x+a)/(d*x+c),x)","\int \frac{\left(f x +e \right)^{n}}{\left(b x +a \right) \left(d x +c \right) x^{2}}\, dx"," ",0,"int((f*x+e)^n/x^2/(b*x+a)/(d*x+c),x)","F"
119,1,726,167,0.010000," ","int((b*x+a)^m*(d*x+c)*(f*x+e)*(h*x+g),x)","-\frac{\left(-b^{3} d f h \,m^{3} x^{3}-b^{3} c f h \,m^{3} x^{2}-b^{3} d e h \,m^{3} x^{2}-b^{3} d f g \,m^{3} x^{2}-6 b^{3} d f h \,m^{2} x^{3}+3 a \,b^{2} d f h \,m^{2} x^{2}-b^{3} c e h \,m^{3} x -b^{3} c f g \,m^{3} x -7 b^{3} c f h \,m^{2} x^{2}-b^{3} d e g \,m^{3} x -7 b^{3} d e h \,m^{2} x^{2}-7 b^{3} d f g \,m^{2} x^{2}-11 b^{3} d f h m \,x^{3}+2 a \,b^{2} c f h \,m^{2} x +2 a \,b^{2} d e h \,m^{2} x +2 a \,b^{2} d f g \,m^{2} x +9 a \,b^{2} d f h m \,x^{2}-b^{3} c e g \,m^{3}-8 b^{3} c e h \,m^{2} x -8 b^{3} c f g \,m^{2} x -14 b^{3} c f h m \,x^{2}-8 b^{3} d e g \,m^{2} x -14 b^{3} d e h m \,x^{2}-14 b^{3} d f g m \,x^{2}-6 d f h \,x^{3} b^{3}-6 a^{2} b d f h m x +a \,b^{2} c e h \,m^{2}+a \,b^{2} c f g \,m^{2}+10 a \,b^{2} c f h m x +a \,b^{2} d e g \,m^{2}+10 a \,b^{2} d e h m x +10 a \,b^{2} d f g m x +6 a \,b^{2} d f h \,x^{2}-9 b^{3} c e g \,m^{2}-19 b^{3} c e h m x -19 b^{3} c f g m x -8 b^{3} c f h \,x^{2}-19 b^{3} d e g m x -8 b^{3} d e h \,x^{2}-8 b^{3} d f g \,x^{2}-2 a^{2} b c f h m -2 a^{2} b d e h m -2 a^{2} b d f g m -6 a^{2} b d f h x +7 a \,b^{2} c e h m +7 a \,b^{2} c f g m +8 a \,b^{2} c f h x +7 a \,b^{2} d e g m +8 a \,b^{2} d e h x +8 a \,b^{2} d f g x -26 b^{3} c e g m -12 b^{3} c e h x -12 b^{3} c f g x -12 b^{3} d e g x +6 a^{3} d f h -8 a^{2} b c f h -8 a^{2} b d e h -8 a^{2} b d f g +12 a \,b^{2} c e h +12 a \,b^{2} c f g +12 a \,b^{2} d e g -24 b^{3} c e g \right) \left(b x +a \right)^{m +1}}{\left(m^{4}+10 m^{3}+35 m^{2}+50 m +24\right) b^{4}}"," ",0,"-(b*x+a)^(m+1)*(-b^3*d*f*h*m^3*x^3-b^3*c*f*h*m^3*x^2-b^3*d*e*h*m^3*x^2-b^3*d*f*g*m^3*x^2-6*b^3*d*f*h*m^2*x^3+3*a*b^2*d*f*h*m^2*x^2-b^3*c*e*h*m^3*x-b^3*c*f*g*m^3*x-7*b^3*c*f*h*m^2*x^2-b^3*d*e*g*m^3*x-7*b^3*d*e*h*m^2*x^2-7*b^3*d*f*g*m^2*x^2-11*b^3*d*f*h*m*x^3+2*a*b^2*c*f*h*m^2*x+2*a*b^2*d*e*h*m^2*x+2*a*b^2*d*f*g*m^2*x+9*a*b^2*d*f*h*m*x^2-b^3*c*e*g*m^3-8*b^3*c*e*h*m^2*x-8*b^3*c*f*g*m^2*x-14*b^3*c*f*h*m*x^2-8*b^3*d*e*g*m^2*x-14*b^3*d*e*h*m*x^2-14*b^3*d*f*g*m*x^2-6*b^3*d*f*h*x^3-6*a^2*b*d*f*h*m*x+a*b^2*c*e*h*m^2+a*b^2*c*f*g*m^2+10*a*b^2*c*f*h*m*x+a*b^2*d*e*g*m^2+10*a*b^2*d*e*h*m*x+10*a*b^2*d*f*g*m*x+6*a*b^2*d*f*h*x^2-9*b^3*c*e*g*m^2-19*b^3*c*e*h*m*x-19*b^3*c*f*g*m*x-8*b^3*c*f*h*x^2-19*b^3*d*e*g*m*x-8*b^3*d*e*h*x^2-8*b^3*d*f*g*x^2-2*a^2*b*c*f*h*m-2*a^2*b*d*e*h*m-2*a^2*b*d*f*g*m-6*a^2*b*d*f*h*x+7*a*b^2*c*e*h*m+7*a*b^2*c*f*g*m+8*a*b^2*c*f*h*x+7*a*b^2*d*e*g*m+8*a*b^2*d*e*h*x+8*a*b^2*d*f*g*x-26*b^3*c*e*g*m-12*b^3*c*e*h*x-12*b^3*c*f*g*x-12*b^3*d*e*g*x+6*a^3*d*f*h-8*a^2*b*c*f*h-8*a^2*b*d*e*h-8*a^2*b*d*f*g+12*a*b^2*c*e*h+12*a*b^2*c*f*g+12*a*b^2*d*e*g-24*b^3*c*e*g)/b^4/(m^4+10*m^3+35*m^2+50*m+24)","B"
120,0,0,136,0.277000," ","int((b*x+a)^m*(d*x+c)*(f*x+e)/(h*x+g),x)","\int \frac{\left(d x +c \right) \left(f x +e \right) \left(b x +a \right)^{m}}{h x +g}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)*(f*x+e)/(h*x+g),x)","F"
121,0,0,144,0.253000," ","int((b*x+a)^m*(d*x+c)/(f*x+e)/(h*x+g),x)","\int \frac{\left(d x +c \right) \left(b x +a \right)^{m}}{\left(f x +e \right) \left(h x +g \right)}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)/(f*x+e)/(h*x+g),x)","F"
122,0,0,230,0.260000," ","int((b*x+a)^m/(d*x+c)/(f*x+e)/(h*x+g),x)","\int \frac{\left(b x +a \right)^{m}}{\left(d x +c \right) \left(f x +e \right) \left(h x +g \right)}\, dx"," ",0,"int((b*x+a)^m/(d*x+c)/(f*x+e)/(h*x+g),x)","F"
123,0,0,140,0.250000," ","int(x^m*(f*x+e)^n/(b*x+a)/(d*x+c),x)","\int \frac{x^{m} \left(f x +e \right)^{n}}{\left(b x +a \right) \left(d x +c \right)}\, dx"," ",0,"int(x^m*(f*x+e)^n/(b*x+a)/(d*x+c),x)","F"
124,0,0,268,0.244000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)*(h*x+g),x)","\int \left(f x +e \right) \left(h x +g \right) \left(b x +a \right)^{m} \left(d x +c \right)^{n}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)*(h*x+g),x)","F"
125,0,0,243,0.238000," ","int((b*x+a)^m*(d*x+c)^(-m+1)*(f*x+e)*(h*x+g),x)","\int \left(f x +e \right) \left(h x +g \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m +1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m+1)*(f*x+e)*(h*x+g),x)","F"
126,0,0,233,0.240000," ","int((b*x+a)^m*(f*x+e)*(h*x+g)/((d*x+c)^m),x)","\int \left(f x +e \right) \left(h x +g \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m}\, dx"," ",0,"int((b*x+a)^m*(f*x+e)*(h*x+g)/((d*x+c)^m),x)","F"
127,0,0,259,0.242000," ","int((b*x+a)^m*(d*x+c)^(-m-1)*(f*x+e)*(h*x+g),x)","\int \left(f x +e \right) \left(h x +g \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m -1}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-1)*(f*x+e)*(h*x+g),x)","F"
128,0,0,205,0.289000," ","int((b*x+a)^m*(d*x+c)^(-m-2)*(f*x+e)*(h*x+g),x)","\int \left(f x +e \right) \left(h x +g \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m -2}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-2)*(f*x+e)*(h*x+g),x)","F"
129,0,0,248,0.260000," ","int((b*x+a)^m*(d*x+c)^(-m-3)*(f*x+e)*(h*x+g),x)","\int \left(f x +e \right) \left(h x +g \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m -3}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-3)*(f*x+e)*(h*x+g),x)","F"
130,1,894,362,0.010000," ","int((b*x+a)^m*(d*x+c)^(-m-4)*(f*x+e)*(h*x+g),x)","-\frac{\left(a^{2} d^{2} f h \,m^{2} x^{2}-2 a b c d f h \,m^{2} x^{2}+b^{2} c^{2} f h \,m^{2} x^{2}+a^{2} d^{2} e h \,m^{2} x +a^{2} d^{2} f g \,m^{2} x +5 a^{2} d^{2} f h m \,x^{2}-2 a b c d e h \,m^{2} x -2 a b c d f g \,m^{2} x -8 a b c d f h m \,x^{2}-a b \,d^{2} e h m \,x^{2}-a b \,d^{2} f g m \,x^{2}+b^{2} c^{2} e h \,m^{2} x +b^{2} c^{2} f g \,m^{2} x +3 b^{2} c^{2} f h m \,x^{2}+b^{2} c d e h m \,x^{2}+b^{2} c d f g m \,x^{2}+2 a^{2} c d f h m x +a^{2} d^{2} e g \,m^{2}+4 a^{2} d^{2} e h m x +4 a^{2} d^{2} f g m x +6 a^{2} d^{2} f h \,x^{2}-2 a b \,c^{2} f h m x -2 a b c d e g \,m^{2}-8 a b c d e h m x -8 a b c d f g m x -6 a b c d f h \,x^{2}-2 a b \,d^{2} e g m x -3 a b \,d^{2} e h \,x^{2}-3 a b \,d^{2} f g \,x^{2}+b^{2} c^{2} e g \,m^{2}+4 b^{2} c^{2} e h m x +4 b^{2} c^{2} f g m x +2 b^{2} c^{2} f h \,x^{2}+2 b^{2} c d e g m x +b^{2} c d e h \,x^{2}+b^{2} c d f g \,x^{2}+2 b^{2} d^{2} e g \,x^{2}+a^{2} c d e h m +a^{2} c d f g m +6 a^{2} c d f h x +3 a^{2} d^{2} e g m +3 a^{2} d^{2} e h x +3 a^{2} d^{2} f g x -a b \,c^{2} e h m -a b \,c^{2} f g m -2 a b \,c^{2} f h x -8 a b c d e g m -10 a b c d e h x -10 a b c d f g x -2 a b \,d^{2} e g x +5 b^{2} c^{2} e g m +3 b^{2} c^{2} e h x +3 b^{2} c^{2} f g x +6 b^{2} c d e g x +2 a^{2} c^{2} f h +a^{2} c d e h +a^{2} c d f g +2 a^{2} d^{2} e g -3 a b \,c^{2} e h -3 a b \,c^{2} f g -6 a b c d e g +6 b^{2} c^{2} e g \right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -3}}{a^{3} d^{3} m^{3}-3 a^{2} b c \,d^{2} m^{3}+3 a \,b^{2} c^{2} d \,m^{3}-b^{3} c^{3} m^{3}+6 a^{3} d^{3} m^{2}-18 a^{2} b c \,d^{2} m^{2}+18 a \,b^{2} c^{2} d \,m^{2}-6 b^{3} c^{3} m^{2}+11 a^{3} d^{3} m -33 a^{2} b c \,d^{2} m +33 a \,b^{2} c^{2} d m -11 b^{3} c^{3} m +6 a^{3} d^{3}-18 a^{2} b c \,d^{2}+18 a \,b^{2} c^{2} d -6 b^{3} c^{3}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-3)*(a^2*d^2*f*h*m^2*x^2-2*a*b*c*d*f*h*m^2*x^2+b^2*c^2*f*h*m^2*x^2+a^2*d^2*e*h*m^2*x+a^2*d^2*f*g*m^2*x+5*a^2*d^2*f*h*m*x^2-2*a*b*c*d*e*h*m^2*x-2*a*b*c*d*f*g*m^2*x-8*a*b*c*d*f*h*m*x^2-a*b*d^2*e*h*m*x^2-a*b*d^2*f*g*m*x^2+b^2*c^2*e*h*m^2*x+b^2*c^2*f*g*m^2*x+3*b^2*c^2*f*h*m*x^2+b^2*c*d*e*h*m*x^2+b^2*c*d*f*g*m*x^2+2*a^2*c*d*f*h*m*x+a^2*d^2*e*g*m^2+4*a^2*d^2*e*h*m*x+4*a^2*d^2*f*g*m*x+6*a^2*d^2*f*h*x^2-2*a*b*c^2*f*h*m*x-2*a*b*c*d*e*g*m^2-8*a*b*c*d*e*h*m*x-8*a*b*c*d*f*g*m*x-6*a*b*c*d*f*h*x^2-2*a*b*d^2*e*g*m*x-3*a*b*d^2*e*h*x^2-3*a*b*d^2*f*g*x^2+b^2*c^2*e*g*m^2+4*b^2*c^2*e*h*m*x+4*b^2*c^2*f*g*m*x+2*b^2*c^2*f*h*x^2+2*b^2*c*d*e*g*m*x+b^2*c*d*e*h*x^2+b^2*c*d*f*g*x^2+2*b^2*d^2*e*g*x^2+a^2*c*d*e*h*m+a^2*c*d*f*g*m+6*a^2*c*d*f*h*x+3*a^2*d^2*e*g*m+3*a^2*d^2*e*h*x+3*a^2*d^2*f*g*x-a*b*c^2*e*h*m-a*b*c^2*f*g*m-2*a*b*c^2*f*h*x-8*a*b*c*d*e*g*m-10*a*b*c*d*e*h*x-10*a*b*c*d*f*g*x-2*a*b*d^2*e*g*x+5*b^2*c^2*e*g*m+3*b^2*c^2*e*h*x+3*b^2*c^2*f*g*x+6*b^2*c*d*e*g*x+2*a^2*c^2*f*h+a^2*c*d*e*h+a^2*c*d*f*g+2*a^2*d^2*e*g-3*a*b*c^2*e*h-3*a*b*c^2*f*g-6*a*b*c*d*e*g+6*b^2*c^2*e*g)/(a^3*d^3*m^3-3*a^2*b*c*d^2*m^3+3*a*b^2*c^2*d*m^3-b^3*c^3*m^3+6*a^3*d^3*m^2-18*a^2*b*c*d^2*m^2+18*a*b^2*c^2*d*m^2-6*b^3*c^3*m^2+11*a^3*d^3*m-33*a^2*b*c*d^2*m+33*a*b^2*c^2*d*m-11*b^3*c^3*m+6*a^3*d^3-18*a^2*b*c*d^2+18*a*b^2*c^2*d-6*b^3*c^3)","B"
131,1,2343,503,0.017000," ","int((b*x+a)^m*(d*x+c)^(-m-5)*(f*x+e)*(h*x+g),x)","-\frac{\left(a^{3} d^{3} f h \,m^{3} x^{2}-3 a^{2} b c \,d^{2} f h \,m^{3} x^{2}-a^{2} b \,d^{3} f h \,m^{2} x^{3}+3 a \,b^{2} c^{2} d f h \,m^{3} x^{2}+2 a \,b^{2} c \,d^{2} f h \,m^{2} x^{3}-b^{3} c^{3} f h \,m^{3} x^{2}-b^{3} c^{2} d f h \,m^{2} x^{3}+a^{3} d^{3} e h \,m^{3} x +a^{3} d^{3} f g \,m^{3} x +8 a^{3} d^{3} f h \,m^{2} x^{2}-3 a^{2} b c \,d^{2} e h \,m^{3} x -3 a^{2} b c \,d^{2} f g \,m^{3} x -23 a^{2} b c \,d^{2} f h \,m^{2} x^{2}-2 a^{2} b \,d^{3} e h \,m^{2} x^{2}-2 a^{2} b \,d^{3} f g \,m^{2} x^{2}-7 a^{2} b \,d^{3} f h m \,x^{3}+3 a \,b^{2} c^{2} d e h \,m^{3} x +3 a \,b^{2} c^{2} d f g \,m^{3} x +22 a \,b^{2} c^{2} d f h \,m^{2} x^{2}+4 a \,b^{2} c \,d^{2} e h \,m^{2} x^{2}+4 a \,b^{2} c \,d^{2} f g \,m^{2} x^{2}+10 a \,b^{2} c \,d^{2} f h m \,x^{3}+2 a \,b^{2} d^{3} e h m \,x^{3}+2 a \,b^{2} d^{3} f g m \,x^{3}-b^{3} c^{3} e h \,m^{3} x -b^{3} c^{3} f g \,m^{3} x -7 b^{3} c^{3} f h \,m^{2} x^{2}-2 b^{3} c^{2} d e h \,m^{2} x^{2}-2 b^{3} c^{2} d f g \,m^{2} x^{2}-3 b^{3} c^{2} d f h m \,x^{3}-2 b^{3} c \,d^{2} e h m \,x^{3}-2 b^{3} c \,d^{2} f g m \,x^{3}+2 a^{3} c \,d^{2} f h \,m^{2} x +a^{3} d^{3} e g \,m^{3}+7 a^{3} d^{3} e h \,m^{2} x +7 a^{3} d^{3} f g \,m^{2} x +19 a^{3} d^{3} f h m \,x^{2}-4 a^{2} b \,c^{2} d f h \,m^{2} x -3 a^{2} b c \,d^{2} e g \,m^{3}-22 a^{2} b c \,d^{2} e h \,m^{2} x -22 a^{2} b c \,d^{2} f g \,m^{2} x -58 a^{2} b c \,d^{2} f h m \,x^{2}-3 a^{2} b \,d^{3} e g \,m^{2} x -10 a^{2} b \,d^{3} e h m \,x^{2}-10 a^{2} b \,d^{3} f g m \,x^{2}-12 a^{2} b \,d^{3} f h \,x^{3}+2 a \,b^{2} c^{3} f h \,m^{2} x +3 a \,b^{2} c^{2} d e g \,m^{3}+23 a \,b^{2} c^{2} d e h \,m^{2} x +23 a \,b^{2} c^{2} d f g \,m^{2} x +53 a \,b^{2} c^{2} d f h m \,x^{2}+6 a \,b^{2} c \,d^{2} e g \,m^{2} x +20 a \,b^{2} c \,d^{2} e h m \,x^{2}+20 a \,b^{2} c \,d^{2} f g m \,x^{2}+8 a \,b^{2} c \,d^{2} f h \,x^{3}+6 a \,b^{2} d^{3} e g m \,x^{2}+8 a \,b^{2} d^{3} e h \,x^{3}+8 a \,b^{2} d^{3} f g \,x^{3}-b^{3} c^{3} e g \,m^{3}-8 b^{3} c^{3} e h \,m^{2} x -8 b^{3} c^{3} f g \,m^{2} x -14 b^{3} c^{3} f h m \,x^{2}-3 b^{3} c^{2} d e g \,m^{2} x -10 b^{3} c^{2} d e h m \,x^{2}-10 b^{3} c^{2} d f g m \,x^{2}-2 b^{3} c^{2} d f h \,x^{3}-6 b^{3} c \,d^{2} e g m \,x^{2}-2 b^{3} c \,d^{2} e h \,x^{3}-2 b^{3} c \,d^{2} f g \,x^{3}-6 b^{3} d^{3} e g \,x^{3}+a^{3} c \,d^{2} e h \,m^{2}+a^{3} c \,d^{2} f g \,m^{2}+10 a^{3} c \,d^{2} f h m x +6 a^{3} d^{3} e g \,m^{2}+14 a^{3} d^{3} e h m x +14 a^{3} d^{3} f g m x +12 a^{3} d^{3} f h \,x^{2}-2 a^{2} b \,c^{2} d e h \,m^{2}-2 a^{2} b \,c^{2} d f g \,m^{2}-20 a^{2} b \,c^{2} d f h m x -21 a^{2} b c \,d^{2} e g \,m^{2}-53 a^{2} b c \,d^{2} e h m x -53 a^{2} b c \,d^{2} f g m x -56 a^{2} b c \,d^{2} f h \,x^{2}-9 a^{2} b \,d^{3} e g m x -8 a^{2} b \,d^{3} e h \,x^{2}-8 a^{2} b \,d^{3} f g \,x^{2}+a \,b^{2} c^{3} e h \,m^{2}+a \,b^{2} c^{3} f g \,m^{2}+10 a \,b^{2} c^{3} f h m x +24 a \,b^{2} c^{2} d e g \,m^{2}+58 a \,b^{2} c^{2} d e h m x +58 a \,b^{2} c^{2} d f g m x +34 a \,b^{2} c^{2} d f h \,x^{2}+30 a \,b^{2} c \,d^{2} e g m x +34 a \,b^{2} c \,d^{2} e h \,x^{2}+34 a \,b^{2} c \,d^{2} f g \,x^{2}+6 a \,b^{2} d^{3} e g \,x^{2}-9 b^{3} c^{3} e g \,m^{2}-19 b^{3} c^{3} e h m x -19 b^{3} c^{3} f g m x -8 b^{3} c^{3} f h \,x^{2}-21 b^{3} c^{2} d e g m x -8 b^{3} c^{2} d e h \,x^{2}-8 b^{3} c^{2} d f g \,x^{2}-24 b^{3} c \,d^{2} e g \,x^{2}+2 a^{3} c^{2} d f h m +3 a^{3} c \,d^{2} e h m +3 a^{3} c \,d^{2} f g m +8 a^{3} c \,d^{2} f h x +11 a^{3} d^{3} e g m +8 a^{3} d^{3} e h x +8 a^{3} d^{3} f g x -2 a^{2} b \,c^{3} f h m -10 a^{2} b \,c^{2} d e h m -10 a^{2} b \,c^{2} d f g m -34 a^{2} b \,c^{2} d f h x -42 a^{2} b c \,d^{2} e g m -34 a^{2} b c \,d^{2} e h x -34 a^{2} b c \,d^{2} f g x -6 a^{2} b \,d^{3} e g x +7 a \,b^{2} c^{3} e h m +7 a \,b^{2} c^{3} f g m +8 a \,b^{2} c^{3} f h x +57 a \,b^{2} c^{2} d e g m +56 a \,b^{2} c^{2} d e h x +56 a \,b^{2} c^{2} d f g x +24 a \,b^{2} c \,d^{2} e g x -26 b^{3} c^{3} e g m -12 b^{3} c^{3} e h x -12 b^{3} c^{3} f g x -36 b^{3} c^{2} d e g x +2 a^{3} c^{2} d f h +2 a^{3} c \,d^{2} e h +2 a^{3} c \,d^{2} f g +6 a^{3} d^{3} e g -8 a^{2} b \,c^{3} f h -8 a^{2} b \,c^{2} d e h -8 a^{2} b \,c^{2} d f g -24 a^{2} b c \,d^{2} e g +12 a \,b^{2} c^{3} e h +12 a \,b^{2} c^{3} f g +36 a \,b^{2} c^{2} d e g -24 b^{3} c^{3} e g \right) \left(b x +a \right)^{m +1} \left(d x +c \right)^{-m -4}}{a^{4} d^{4} m^{4}-4 a^{3} b c \,d^{3} m^{4}+6 a^{2} b^{2} c^{2} d^{2} m^{4}-4 a \,b^{3} c^{3} d \,m^{4}+b^{4} c^{4} m^{4}+10 a^{4} d^{4} m^{3}-40 a^{3} b c \,d^{3} m^{3}+60 a^{2} b^{2} c^{2} d^{2} m^{3}-40 a \,b^{3} c^{3} d \,m^{3}+10 b^{4} c^{4} m^{3}+35 a^{4} d^{4} m^{2}-140 a^{3} b c \,d^{3} m^{2}+210 a^{2} b^{2} c^{2} d^{2} m^{2}-140 a \,b^{3} c^{3} d \,m^{2}+35 b^{4} c^{4} m^{2}+50 a^{4} d^{4} m -200 a^{3} b c \,d^{3} m +300 a^{2} b^{2} c^{2} d^{2} m -200 a \,b^{3} c^{3} d m +50 b^{4} c^{4} m +24 a^{4} d^{4}-96 a^{3} b c \,d^{3}+144 a^{2} b^{2} c^{2} d^{2}-96 a \,b^{3} c^{3} d +24 b^{4} c^{4}}"," ",0,"-(b*x+a)^(m+1)*(d*x+c)^(-m-4)*(a^3*d^3*f*h*m^3*x^2-3*a^2*b*c*d^2*f*h*m^3*x^2-a^2*b*d^3*f*h*m^2*x^3+3*a*b^2*c^2*d*f*h*m^3*x^2+2*a*b^2*c*d^2*f*h*m^2*x^3-b^3*c^3*f*h*m^3*x^2-b^3*c^2*d*f*h*m^2*x^3+a^3*d^3*e*h*m^3*x+a^3*d^3*f*g*m^3*x+8*a^3*d^3*f*h*m^2*x^2-3*a^2*b*c*d^2*e*h*m^3*x-3*a^2*b*c*d^2*f*g*m^3*x-23*a^2*b*c*d^2*f*h*m^2*x^2-2*a^2*b*d^3*e*h*m^2*x^2-2*a^2*b*d^3*f*g*m^2*x^2-7*a^2*b*d^3*f*h*m*x^3+3*a*b^2*c^2*d*e*h*m^3*x+3*a*b^2*c^2*d*f*g*m^3*x+22*a*b^2*c^2*d*f*h*m^2*x^2+4*a*b^2*c*d^2*e*h*m^2*x^2+4*a*b^2*c*d^2*f*g*m^2*x^2+10*a*b^2*c*d^2*f*h*m*x^3+2*a*b^2*d^3*e*h*m*x^3+2*a*b^2*d^3*f*g*m*x^3-b^3*c^3*e*h*m^3*x-b^3*c^3*f*g*m^3*x-7*b^3*c^3*f*h*m^2*x^2-2*b^3*c^2*d*e*h*m^2*x^2-2*b^3*c^2*d*f*g*m^2*x^2-3*b^3*c^2*d*f*h*m*x^3-2*b^3*c*d^2*e*h*m*x^3-2*b^3*c*d^2*f*g*m*x^3+2*a^3*c*d^2*f*h*m^2*x+a^3*d^3*e*g*m^3+7*a^3*d^3*e*h*m^2*x+7*a^3*d^3*f*g*m^2*x+19*a^3*d^3*f*h*m*x^2-4*a^2*b*c^2*d*f*h*m^2*x-3*a^2*b*c*d^2*e*g*m^3-22*a^2*b*c*d^2*e*h*m^2*x-22*a^2*b*c*d^2*f*g*m^2*x-58*a^2*b*c*d^2*f*h*m*x^2-3*a^2*b*d^3*e*g*m^2*x-10*a^2*b*d^3*e*h*m*x^2-10*a^2*b*d^3*f*g*m*x^2-12*a^2*b*d^3*f*h*x^3+2*a*b^2*c^3*f*h*m^2*x+3*a*b^2*c^2*d*e*g*m^3+23*a*b^2*c^2*d*e*h*m^2*x+23*a*b^2*c^2*d*f*g*m^2*x+53*a*b^2*c^2*d*f*h*m*x^2+6*a*b^2*c*d^2*e*g*m^2*x+20*a*b^2*c*d^2*e*h*m*x^2+20*a*b^2*c*d^2*f*g*m*x^2+8*a*b^2*c*d^2*f*h*x^3+6*a*b^2*d^3*e*g*m*x^2+8*a*b^2*d^3*e*h*x^3+8*a*b^2*d^3*f*g*x^3-b^3*c^3*e*g*m^3-8*b^3*c^3*e*h*m^2*x-8*b^3*c^3*f*g*m^2*x-14*b^3*c^3*f*h*m*x^2-3*b^3*c^2*d*e*g*m^2*x-10*b^3*c^2*d*e*h*m*x^2-10*b^3*c^2*d*f*g*m*x^2-2*b^3*c^2*d*f*h*x^3-6*b^3*c*d^2*e*g*m*x^2-2*b^3*c*d^2*e*h*x^3-2*b^3*c*d^2*f*g*x^3-6*b^3*d^3*e*g*x^3+a^3*c*d^2*e*h*m^2+a^3*c*d^2*f*g*m^2+10*a^3*c*d^2*f*h*m*x+6*a^3*d^3*e*g*m^2+14*a^3*d^3*e*h*m*x+14*a^3*d^3*f*g*m*x+12*a^3*d^3*f*h*x^2-2*a^2*b*c^2*d*e*h*m^2-2*a^2*b*c^2*d*f*g*m^2-20*a^2*b*c^2*d*f*h*m*x-21*a^2*b*c*d^2*e*g*m^2-53*a^2*b*c*d^2*e*h*m*x-53*a^2*b*c*d^2*f*g*m*x-56*a^2*b*c*d^2*f*h*x^2-9*a^2*b*d^3*e*g*m*x-8*a^2*b*d^3*e*h*x^2-8*a^2*b*d^3*f*g*x^2+a*b^2*c^3*e*h*m^2+a*b^2*c^3*f*g*m^2+10*a*b^2*c^3*f*h*m*x+24*a*b^2*c^2*d*e*g*m^2+58*a*b^2*c^2*d*e*h*m*x+58*a*b^2*c^2*d*f*g*m*x+34*a*b^2*c^2*d*f*h*x^2+30*a*b^2*c*d^2*e*g*m*x+34*a*b^2*c*d^2*e*h*x^2+34*a*b^2*c*d^2*f*g*x^2+6*a*b^2*d^3*e*g*x^2-9*b^3*c^3*e*g*m^2-19*b^3*c^3*e*h*m*x-19*b^3*c^3*f*g*m*x-8*b^3*c^3*f*h*x^2-21*b^3*c^2*d*e*g*m*x-8*b^3*c^2*d*e*h*x^2-8*b^3*c^2*d*f*g*x^2-24*b^3*c*d^2*e*g*x^2+2*a^3*c^2*d*f*h*m+3*a^3*c*d^2*e*h*m+3*a^3*c*d^2*f*g*m+8*a^3*c*d^2*f*h*x+11*a^3*d^3*e*g*m+8*a^3*d^3*e*h*x+8*a^3*d^3*f*g*x-2*a^2*b*c^3*f*h*m-10*a^2*b*c^2*d*e*h*m-10*a^2*b*c^2*d*f*g*m-34*a^2*b*c^2*d*f*h*x-42*a^2*b*c*d^2*e*g*m-34*a^2*b*c*d^2*e*h*x-34*a^2*b*c*d^2*f*g*x-6*a^2*b*d^3*e*g*x+7*a*b^2*c^3*e*h*m+7*a*b^2*c^3*f*g*m+8*a*b^2*c^3*f*h*x+57*a*b^2*c^2*d*e*g*m+56*a*b^2*c^2*d*e*h*x+56*a*b^2*c^2*d*f*g*x+24*a*b^2*c*d^2*e*g*x-26*b^3*c^3*e*g*m-12*b^3*c^3*e*h*x-12*b^3*c^3*f*g*x-36*b^3*c^2*d*e*g*x+2*a^3*c^2*d*f*h+2*a^3*c*d^2*e*h+2*a^3*c*d^2*f*g+6*a^3*d^3*e*g-8*a^2*b*c^3*f*h-8*a^2*b*c^2*d*e*h-8*a^2*b*c^2*d*f*g-24*a^2*b*c*d^2*e*g+12*a*b^2*c^3*e*h+12*a*b^2*c^3*f*g+36*a*b^2*c^2*d*e*g-24*b^3*c^3*e*g)/(a^4*d^4*m^4-4*a^3*b*c*d^3*m^4+6*a^2*b^2*c^2*d^2*m^4-4*a*b^3*c^3*d*m^4+b^4*c^4*m^4+10*a^4*d^4*m^3-40*a^3*b*c*d^3*m^3+60*a^2*b^2*c^2*d^2*m^3-40*a*b^3*c^3*d*m^3+10*b^4*c^4*m^3+35*a^4*d^4*m^2-140*a^3*b*c*d^3*m^2+210*a^2*b^2*c^2*d^2*m^2-140*a*b^3*c^3*d*m^2+35*b^4*c^4*m^2+50*a^4*d^4*m-200*a^3*b*c*d^3*m+300*a^2*b^2*c^2*d^2*m-200*a*b^3*c^3*d*m+50*b^4*c^4*m+24*a^4*d^4-96*a^3*b*c*d^3+144*a^2*b^2*c^2*d^2-96*a*b^3*c^3*d+24*b^4*c^4)","B"
132,0,0,817,0.240000," ","int((b*x+a)^3*(d*x+c)^(-m-4)*(f*x+e)^m*(h*x+g),x)","\int \left(b x +a \right)^{3} \left(h x +g \right) \left(d x +c \right)^{-m -4} \left(f x +e \right)^{m}\, dx"," ",0,"int((b*x+a)^3*(d*x+c)^(-m-4)*(f*x+e)^m*(h*x+g),x)","F"
133,0,0,574,0.237000," ","int((b*x+a)^2*(d*x+c)^(-m-4)*(f*x+e)^m*(h*x+g),x)","\int \left(b x +a \right)^{2} \left(h x +g \right) \left(d x +c \right)^{-m -4} \left(f x +e \right)^{m}\, dx"," ",0,"int((b*x+a)^2*(d*x+c)^(-m-4)*(f*x+e)^m*(h*x+g),x)","F"
134,1,906,363,0.010000," ","int((b*x+a)*(d*x+c)^(-m-4)*(f*x+e)^m*(h*x+g),x)","-\frac{\left(-b \,c^{2} f^{2} h \,m^{2} x^{2}+2 b c d e f h \,m^{2} x^{2}-b \,d^{2} e^{2} h \,m^{2} x^{2}-a \,c^{2} f^{2} h \,m^{2} x +2 a c d e f h \,m^{2} x -a c d \,f^{2} h m \,x^{2}-a \,d^{2} e^{2} h \,m^{2} x +a \,d^{2} e f h m \,x^{2}-b \,c^{2} f^{2} g \,m^{2} x -3 b \,c^{2} f^{2} h m \,x^{2}+2 b c d e f g \,m^{2} x +8 b c d e f h m \,x^{2}-b c d \,f^{2} g m \,x^{2}-b \,d^{2} e^{2} g \,m^{2} x -5 b \,d^{2} e^{2} h m \,x^{2}+b \,d^{2} e f g m \,x^{2}-a \,c^{2} f^{2} g \,m^{2}-4 a \,c^{2} f^{2} h m x +2 a c d e f g \,m^{2}+8 a c d e f h m x -2 a c d \,f^{2} g m x -a c d \,f^{2} h \,x^{2}-a \,d^{2} e^{2} g \,m^{2}-4 a \,d^{2} e^{2} h m x +2 a \,d^{2} e f g m x +3 a \,d^{2} e f h \,x^{2}-2 a \,d^{2} f^{2} g \,x^{2}+2 b \,c^{2} e f h m x -4 b \,c^{2} f^{2} g m x -2 b \,c^{2} f^{2} h \,x^{2}-2 b c d \,e^{2} h m x +8 b c d e f g m x +6 b c d e f h \,x^{2}-b c d \,f^{2} g \,x^{2}-4 b \,d^{2} e^{2} g m x -6 b \,d^{2} e^{2} h \,x^{2}+3 b \,d^{2} e f g \,x^{2}+a \,c^{2} e f h m -5 a \,c^{2} f^{2} g m -3 a \,c^{2} f^{2} h x -a c d \,e^{2} h m +8 a c d e f g m +10 a c d e f h x -6 a c d \,f^{2} g x -3 a \,d^{2} e^{2} g m -3 a \,d^{2} e^{2} h x +2 a \,d^{2} e f g x +b \,c^{2} e f g m +2 b \,c^{2} e f h x -3 b \,c^{2} f^{2} g x -b c d \,e^{2} g m -6 b c d \,e^{2} h x +10 b c d e f g x -3 b \,d^{2} e^{2} g x +3 a \,c^{2} e f h -6 a \,c^{2} f^{2} g -a c d \,e^{2} h +6 a c d e f g -2 a \,d^{2} e^{2} g -2 b \,c^{2} e^{2} h +3 b \,c^{2} e f g -b c d \,e^{2} g \right) \left(d x +c \right)^{-m -3} \left(f x +e \right)^{m +1}}{c^{3} f^{3} m^{3}-3 c^{2} d e \,f^{2} m^{3}+3 c \,d^{2} e^{2} f \,m^{3}-d^{3} e^{3} m^{3}+6 c^{3} f^{3} m^{2}-18 c^{2} d e \,f^{2} m^{2}+18 c \,d^{2} e^{2} f \,m^{2}-6 d^{3} e^{3} m^{2}+11 c^{3} f^{3} m -33 c^{2} d e \,f^{2} m +33 c \,d^{2} e^{2} f m -11 d^{3} e^{3} m +6 c^{3} f^{3}-18 c^{2} d e \,f^{2}+18 c \,d^{2} e^{2} f -6 d^{3} e^{3}}"," ",0,"-(d*x+c)^(-m-3)*(f*x+e)^(m+1)*(-b*c^2*f^2*h*m^2*x^2+2*b*c*d*e*f*h*m^2*x^2-b*d^2*e^2*h*m^2*x^2-a*c^2*f^2*h*m^2*x+2*a*c*d*e*f*h*m^2*x-a*c*d*f^2*h*m*x^2-a*d^2*e^2*h*m^2*x+a*d^2*e*f*h*m*x^2-b*c^2*f^2*g*m^2*x-3*b*c^2*f^2*h*m*x^2+2*b*c*d*e*f*g*m^2*x+8*b*c*d*e*f*h*m*x^2-b*c*d*f^2*g*m*x^2-b*d^2*e^2*g*m^2*x-5*b*d^2*e^2*h*m*x^2+b*d^2*e*f*g*m*x^2-a*c^2*f^2*g*m^2-4*a*c^2*f^2*h*m*x+2*a*c*d*e*f*g*m^2+8*a*c*d*e*f*h*m*x-2*a*c*d*f^2*g*m*x-a*c*d*f^2*h*x^2-a*d^2*e^2*g*m^2-4*a*d^2*e^2*h*m*x+2*a*d^2*e*f*g*m*x+3*a*d^2*e*f*h*x^2-2*a*d^2*f^2*g*x^2+2*b*c^2*e*f*h*m*x-4*b*c^2*f^2*g*m*x-2*b*c^2*f^2*h*x^2-2*b*c*d*e^2*h*m*x+8*b*c*d*e*f*g*m*x+6*b*c*d*e*f*h*x^2-b*c*d*f^2*g*x^2-4*b*d^2*e^2*g*m*x-6*b*d^2*e^2*h*x^2+3*b*d^2*e*f*g*x^2+a*c^2*e*f*h*m-5*a*c^2*f^2*g*m-3*a*c^2*f^2*h*x-a*c*d*e^2*h*m+8*a*c*d*e*f*g*m+10*a*c*d*e*f*h*x-6*a*c*d*f^2*g*x-3*a*d^2*e^2*g*m-3*a*d^2*e^2*h*x+2*a*d^2*e*f*g*x+b*c^2*e*f*g*m+2*b*c^2*e*f*h*x-3*b*c^2*f^2*g*x-b*c*d*e^2*g*m-6*b*c*d*e^2*h*x+10*b*c*d*e*f*g*x-3*b*d^2*e^2*g*x+3*a*c^2*e*f*h-6*a*c^2*f^2*g-a*c*d*e^2*h+6*a*c*d*e*f*g-2*a*d^2*e^2*g-2*b*c^2*e^2*h+3*b*c^2*e*f*g-b*c*d*e^2*g)/(c^3*f^3*m^3-3*c^2*d*e*f^2*m^3+3*c*d^2*e^2*f*m^3-d^3*e^3*m^3+6*c^3*f^3*m^2-18*c^2*d*e*f^2*m^2+18*c*d^2*e^2*f*m^2-6*d^3*e^3*m^2+11*c^3*f^3*m-33*c^2*d*e*f^2*m+33*c*d^2*e^2*f*m-11*d^3*e^3*m+6*c^3*f^3-18*c^2*d*e*f^2+18*c*d^2*e^2*f-6*d^3*e^3)","B"
135,1,509,188,0.010000," ","int((d*x+c)^(-m-4)*(f*x+e)^m*(h*x+g),x)","-\frac{\left(-c^{2} f^{2} h \,m^{2} x +2 c d e f h \,m^{2} x -c d \,f^{2} h m \,x^{2}-d^{2} e^{2} h \,m^{2} x +d^{2} e f h m \,x^{2}-c^{2} f^{2} g \,m^{2}-4 c^{2} f^{2} h m x +2 c d e f g \,m^{2}+8 c d e f h m x -2 c d \,f^{2} g m x -c d \,f^{2} h \,x^{2}-d^{2} e^{2} g \,m^{2}-4 d^{2} e^{2} h m x +2 d^{2} e f g m x +3 d^{2} e f h \,x^{2}-2 d^{2} f^{2} g \,x^{2}+c^{2} e f h m -5 c^{2} f^{2} g m -3 c^{2} f^{2} h x -c d \,e^{2} h m +8 c d e f g m +10 c d e f h x -6 c d \,f^{2} g x -3 d^{2} e^{2} g m -3 d^{2} e^{2} h x +2 d^{2} e f g x +3 c^{2} e f h -6 c^{2} f^{2} g -c d \,e^{2} h +6 c d e f g -2 d^{2} e^{2} g \right) \left(d x +c \right)^{-m -3} \left(f x +e \right)^{m +1}}{c^{3} f^{3} m^{3}-3 c^{2} d e \,f^{2} m^{3}+3 c \,d^{2} e^{2} f \,m^{3}-d^{3} e^{3} m^{3}+6 c^{3} f^{3} m^{2}-18 c^{2} d e \,f^{2} m^{2}+18 c \,d^{2} e^{2} f \,m^{2}-6 d^{3} e^{3} m^{2}+11 c^{3} f^{3} m -33 c^{2} d e \,f^{2} m +33 c \,d^{2} e^{2} f m -11 d^{3} e^{3} m +6 c^{3} f^{3}-18 c^{2} d e \,f^{2}+18 c \,d^{2} e^{2} f -6 d^{3} e^{3}}"," ",0,"-(d*x+c)^(-m-3)*(f*x+e)^(m+1)*(-c^2*f^2*h*m^2*x+2*c*d*e*f*h*m^2*x-c*d*f^2*h*m*x^2-d^2*e^2*h*m^2*x+d^2*e*f*h*m*x^2-c^2*f^2*g*m^2-4*c^2*f^2*h*m*x+2*c*d*e*f*g*m^2+8*c*d*e*f*h*m*x-2*c*d*f^2*g*m*x-c*d*f^2*h*x^2-d^2*e^2*g*m^2-4*d^2*e^2*h*m*x+2*d^2*e*f*g*m*x+3*d^2*e*f*h*x^2-2*d^2*f^2*g*x^2+c^2*e*f*h*m-5*c^2*f^2*g*m-3*c^2*f^2*h*x-c*d*e^2*h*m+8*c*d*e*f*g*m+10*c*d*e*f*h*x-6*c*d*f^2*g*x-3*d^2*e^2*g*m-3*d^2*e^2*h*x+2*d^2*e*f*g*x+3*c^2*e*f*h-6*c^2*f^2*g-c*d*e^2*h+6*c*d*e*f*g-2*d^2*e^2*g)/(c^3*f^3*m^3-3*c^2*d*e*f^2*m^3+3*c*d^2*e^2*f*m^3-d^3*e^3*m^3+6*c^3*f^3*m^2-18*c^2*d*e*f^2*m^2+18*c*d^2*e^2*f*m^2-6*d^3*e^3*m^2+11*c^3*f^3*m-33*c^2*d*e*f^2*m+33*c*d^2*e^2*f*m-11*d^3*e^3*m+6*c^3*f^3-18*c^2*d*e*f^2+18*c*d^2*e^2*f-6*d^3*e^3)","B"
136,0,0,179,0.247000," ","int((B*x+A)*(d*x+c)^n*(f*x+e)^p/(b*x+a),x)","\int \frac{\left(B x +A \right) \left(d x +c \right)^{n} \left(f x +e \right)^{p}}{b x +a}\, dx"," ",0,"int((B*x+A)*(d*x+c)^n*(f*x+e)^p/(b*x+a),x)","F"
137,0,0,237,0.254000," ","int((b*x+a)^m*(B*x+A)/((d*x+c)^m)/(f*x+e),x)","\int \frac{\left(B x +A \right) \left(b x +a \right)^{m} \left(d x +c \right)^{-m}}{f x +e}\, dx"," ",0,"int((b*x+a)^m*(B*x+A)/((d*x+c)^m)/(f*x+e),x)","F"
138,0,0,236,0.257000," ","int((B*x+A)*(d*x+c)^n*(f*x+e)^p/(b*x+a)^(1/2),x)","\int \frac{\left(B x +A \right) \left(d x +c \right)^{n} \left(f x +e \right)^{p}}{\sqrt{b x +a}}\, dx"," ",0,"int((B*x+A)*(d*x+c)^n*(f*x+e)^p/(b*x+a)^(1/2),x)","F"
139,0,0,530,0.361000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g)^3,x)","\int \left(h x +g \right)^{3} \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g)^3,x)","F"
140,0,0,393,0.251000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g)^2,x)","\int \left(h x +g \right)^{2} \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g)^2,x)","F"
141,0,0,256,0.256000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g),x)","\int \left(h x +g \right) \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p*(h*x+g),x)","F"
142,0,0,123,0.000000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p,x)","\int \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{p}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p,x)","F"
143,0,0,31,0.262000," ","int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p/(h*x+g),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{p}}{h x +g}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^n*(f*x+e)^p/(h*x+g),x)","F"
144,0,0,268,0.252000," ","int((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n),x)","\int \left(B x +A \right) \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{-m -n}\, dx"," ",0,"int((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n),x)","F"
145,0,0,283,0.287000," ","int((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n-1),x)","\int \left(B x +A \right) \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{-m -n -1}\, dx"," ",0,"int((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n-1),x)","F"
146,0,0,279,0.253000," ","int((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n-2),x)","\int \left(B x +A \right) \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{-m -n -2}\, dx"," ",0,"int((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n-2),x)","F"
147,0,0,265,0.250000," ","int((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n-3),x)","\int \left(B x +A \right) \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{-m -n -3}\, dx"," ",0,"int((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n-3),x)","F"
148,0,0,560,0.253000," ","int((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n-4),x)","\int \left(B x +A \right) \left(b x +a \right)^{m} \left(d x +c \right)^{n} \left(f x +e \right)^{-m -n -4}\, dx"," ",0,"int((b*x+a)^m*(B*x+A)*(d*x+c)^n*(f*x+e)^(-m-n-4),x)","F"
149,1,139,66,0.043000," ","int(x*(c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x)","-\frac{\sqrt{-d x +1}\, \sqrt{d x +1}\, \left(2 \sqrt{-d^{2} x^{2}+1}\, c \,d^{2} x^{2} \mathrm{csgn}\left(d \right)+3 \sqrt{-d^{2} x^{2}+1}\, b \,d^{2} x \,\mathrm{csgn}\left(d \right)+6 \sqrt{-d^{2} x^{2}+1}\, a \,d^{2} \mathrm{csgn}\left(d \right)-3 b d \arctan \left(\frac{d x \,\mathrm{csgn}\left(d \right)}{\sqrt{-d^{2} x^{2}+1}}\right)+4 \sqrt{-d^{2} x^{2}+1}\, c \,\mathrm{csgn}\left(d \right)\right) \mathrm{csgn}\left(d \right)}{6 \sqrt{-d^{2} x^{2}+1}\, d^{4}}"," ",0,"-1/6*(-d*x+1)^(1/2)*(d*x+1)^(1/2)*(2*csgn(d)*x^2*c*d^2*(-d^2*x^2+1)^(1/2)+3*(-d^2*x^2+1)^(1/2)*csgn(d)*x*b*d^2+6*(-d^2*x^2+1)^(1/2)*csgn(d)*a*d^2+4*(-d^2*x^2+1)^(1/2)*csgn(d)*c-3*arctan(csgn(d)*d*x/(-d^2*x^2+1)^(1/2))*b*d)*csgn(d)/d^4/(-d^2*x^2+1)^(1/2)","C"
150,1,117,55,0.020000," ","int((c*x^2+b*x+a)/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x)","-\frac{\sqrt{-d x +1}\, \sqrt{d x +1}\, \left(-2 a \,d^{2} \arctan \left(\frac{d x \,\mathrm{csgn}\left(d \right)}{\sqrt{-d^{2} x^{2}+1}}\right)+\sqrt{-d^{2} x^{2}+1}\, c d x \,\mathrm{csgn}\left(d \right)+2 \sqrt{-d^{2} x^{2}+1}\, b d \,\mathrm{csgn}\left(d \right)-c \arctan \left(\frac{d x \,\mathrm{csgn}\left(d \right)}{\sqrt{-d^{2} x^{2}+1}}\right)\right) \mathrm{csgn}\left(d \right)}{2 \sqrt{-d^{2} x^{2}+1}\, d^{3}}"," ",0,"-1/2*(-d*x+1)^(1/2)*(d*x+1)^(1/2)/d^3*(csgn(d)*d*(-d^2*x^2+1)^(1/2)*x*c-2*arctan(1/(-d^2*x^2+1)^(1/2)*d*x*csgn(d))*a*d^2+2*csgn(d)*d*(-d^2*x^2+1)^(1/2)*b-arctan(1/(-d^2*x^2+1)^(1/2)*d*x*csgn(d))*c)/(-d^2*x^2+1)^(1/2)*csgn(d)","C"
151,1,96,44,0.028000," ","int((c*x^2+b*x+a)/x/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x)","\frac{\left(-a \,d^{2} \arctanh \left(\frac{1}{\sqrt{-d^{2} x^{2}+1}}\right) \mathrm{csgn}\left(d \right)+b d \arctan \left(\frac{d x \,\mathrm{csgn}\left(d \right)}{\sqrt{-\left(d x +1\right) \left(d x -1\right)}}\right)-\sqrt{-d^{2} x^{2}+1}\, c \,\mathrm{csgn}\left(d \right)\right) \sqrt{-d x +1}\, \sqrt{d x +1}\, \mathrm{csgn}\left(d \right)}{\sqrt{-d^{2} x^{2}+1}\, d^{2}}"," ",0,"(-csgn(d)*arctanh(1/(-d^2*x^2+1)^(1/2))*a*d^2-(-d^2*x^2+1)^(1/2)*c*csgn(d)+arctan(csgn(d)*d*x/(-(d*x+1)*(d*x-1))^(1/2))*b*d)*(-d*x+1)^(1/2)*(d*x+1)^(1/2)/d^2*csgn(d)/(-d^2*x^2+1)^(1/2)","C"
152,1,97,44,0.023000," ","int((c*x^2+b*x+a)/x^2/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x)","\frac{\left(-b d x \arctanh \left(\frac{1}{\sqrt{-d^{2} x^{2}+1}}\right) \mathrm{csgn}\left(d \right)-\sqrt{-d^{2} x^{2}+1}\, a d \,\mathrm{csgn}\left(d \right)+c x \arctan \left(\frac{d x \,\mathrm{csgn}\left(d \right)}{\sqrt{-d^{2} x^{2}+1}}\right)\right) \sqrt{-d x +1}\, \sqrt{d x +1}\, \mathrm{csgn}\left(d \right)}{\sqrt{-d^{2} x^{2}+1}\, d x}"," ",0,"(-csgn(d)*d*arctanh(1/(-d^2*x^2+1)^(1/2))*x*b-csgn(d)*d*(-d^2*x^2+1)^(1/2)*a+arctan(1/(-d^2*x^2+1)^(1/2)*d*x*csgn(d))*x*c)*(-d*x+1)^(1/2)*(d*x+1)^(1/2)*csgn(d)/(-d^2*x^2+1)^(1/2)/x/d","C"
153,1,108,61,0.022000," ","int((c*x^2+b*x+a)/x^3/(-d*x+1)^(1/2)/(d*x+1)^(1/2),x)","-\frac{\sqrt{-d x +1}\, \sqrt{d x +1}\, \left(a \,d^{2} x^{2} \arctanh \left(\frac{1}{\sqrt{-d^{2} x^{2}+1}}\right)+2 c \,x^{2} \arctanh \left(\frac{1}{\sqrt{-d^{2} x^{2}+1}}\right)+2 \sqrt{-d^{2} x^{2}+1}\, b x +\sqrt{-d^{2} x^{2}+1}\, a \right) \mathrm{csgn}\left(d \right)^{2}}{2 \sqrt{-d^{2} x^{2}+1}\, x^{2}}"," ",0,"-1/2*(-d*x+1)^(1/2)*(d*x+1)^(1/2)*csgn(d)^2*(arctanh(1/(-d^2*x^2+1)^(1/2))*x^2*a*d^2+2*arctanh(1/(-d^2*x^2+1)^(1/2))*x^2*c+2*(-d^2*x^2+1)^(1/2)*x*b+(-d^2*x^2+1)^(1/2)*a)/(-d^2*x^2+1)^(1/2)/x^2","C"
154,1,137,70,0.026000," ","int(x*(c*x^2+b*x+a)/(d*x-1)^(1/2)/(d*x+1)^(1/2),x)","\frac{\sqrt{d x -1}\, \sqrt{d x +1}\, \left(2 \sqrt{d^{2} x^{2}-1}\, c \,d^{2} x^{2} \mathrm{csgn}\left(d \right)+3 \sqrt{d^{2} x^{2}-1}\, b \,d^{2} x \,\mathrm{csgn}\left(d \right)+6 \sqrt{d^{2} x^{2}-1}\, a \,d^{2} \mathrm{csgn}\left(d \right)+3 b d \ln \left(\left(d x +\sqrt{d^{2} x^{2}-1}\, \mathrm{csgn}\left(d \right)\right) \mathrm{csgn}\left(d \right)\right)+4 \sqrt{d^{2} x^{2}-1}\, c \,\mathrm{csgn}\left(d \right)\right) \mathrm{csgn}\left(d \right)}{6 \sqrt{d^{2} x^{2}-1}\, d^{4}}"," ",0,"1/6*(d*x-1)^(1/2)*(d*x+1)^(1/2)*(2*csgn(d)*x^2*c*d^2*(d^2*x^2-1)^(1/2)+3*csgn(d)*(d^2*x^2-1)^(1/2)*x*b*d^2+6*csgn(d)*(d^2*x^2-1)^(1/2)*a*d^2+4*csgn(d)*(d^2*x^2-1)^(1/2)*c+3*ln((csgn(d)*(d^2*x^2-1)^(1/2)+d*x)*csgn(d))*b*d)*csgn(d)/d^4/(d^2*x^2-1)^(1/2)","C"
155,1,120,44,0.018000," ","int((c*x^2+b*x+a)/(d*x-1)^(1/2)/(d*x+1)^(1/2),x)","\frac{\sqrt{d x -1}\, \sqrt{d x +1}\, \left(2 a \,d^{2} \ln \left(\left(d x +\sqrt{d^{2} x^{2}-1}\, \mathrm{csgn}\left(d \right)\right) \mathrm{csgn}\left(d \right)\right)+\sqrt{d^{2} x^{2}-1}\, c d x \,\mathrm{csgn}\left(d \right)+2 \sqrt{d^{2} x^{2}-1}\, b d \,\mathrm{csgn}\left(d \right)+c \ln \left(\left(d x +\sqrt{d^{2} x^{2}-1}\, \mathrm{csgn}\left(d \right)\right) \mathrm{csgn}\left(d \right)\right)\right) \mathrm{csgn}\left(d \right)}{2 \sqrt{d^{2} x^{2}-1}\, d^{3}}"," ",0,"1/2*(d*x-1)^(1/2)*(d*x+1)^(1/2)*(csgn(d)*d*(d^2*x^2-1)^(1/2)*x*c+2*ln((d*x+(d^2*x^2-1)^(1/2)*csgn(d))*csgn(d))*a*d^2+2*csgn(d)*d*(d^2*x^2-1)^(1/2)*b+ln((d*x+(d^2*x^2-1)^(1/2)*csgn(d))*csgn(d))*c)*csgn(d)/d^3/(d^2*x^2-1)^(1/2)","C"
156,1,95,47,0.023000," ","int((c*x^2+b*x+a)/x/(d*x-1)^(1/2)/(d*x+1)^(1/2),x)","\frac{\left(-a \,d^{2} \arctan \left(\frac{1}{\sqrt{d^{2} x^{2}-1}}\right) \mathrm{csgn}\left(d \right)+b d \ln \left(\left(d x +\sqrt{\left(d x +1\right) \left(d x -1\right)}\, \mathrm{csgn}\left(d \right)\right) \mathrm{csgn}\left(d \right)\right)+\sqrt{d^{2} x^{2}-1}\, c \,\mathrm{csgn}\left(d \right)\right) \sqrt{d x -1}\, \sqrt{d x +1}\, \mathrm{csgn}\left(d \right)}{\sqrt{d^{2} x^{2}-1}\, d^{2}}"," ",0,"(-csgn(d)*arctan(1/(d^2*x^2-1)^(1/2))*a*d^2+(d^2*x^2-1)^(1/2)*c*csgn(d)+ln((csgn(d)*((d*x+1)*(d*x-1))^(1/2)+d*x)*csgn(d))*b*d)*(d*x-1)^(1/2)*(d*x+1)^(1/2)/d^2*csgn(d)/(d^2*x^2-1)^(1/2)","C"
157,1,96,47,0.023000," ","int((c*x^2+b*x+a)/x^2/(d*x-1)^(1/2)/(d*x+1)^(1/2),x)","\frac{\left(-b d x \arctan \left(\frac{1}{\sqrt{d^{2} x^{2}-1}}\right) \mathrm{csgn}\left(d \right)+\sqrt{d^{2} x^{2}-1}\, a d \,\mathrm{csgn}\left(d \right)+c x \ln \left(\left(d x +\sqrt{d^{2} x^{2}-1}\, \mathrm{csgn}\left(d \right)\right) \mathrm{csgn}\left(d \right)\right)\right) \sqrt{d x -1}\, \sqrt{d x +1}\, \mathrm{csgn}\left(d \right)}{\sqrt{d^{2} x^{2}-1}\, d x}"," ",0,"(-csgn(d)*d*arctan(1/(d^2*x^2-1)^(1/2))*x*b+csgn(d)*d*(d^2*x^2-1)^(1/2)*a+ln((d*x+(d^2*x^2-1)^(1/2)*csgn(d))*csgn(d))*x*c)*(d*x-1)^(1/2)*(d*x+1)^(1/2)*csgn(d)/(d^2*x^2-1)^(1/2)/x/d","C"
158,1,103,67,0.023000," ","int((c*x^2+b*x+a)/x^3/(d*x-1)^(1/2)/(d*x+1)^(1/2),x)","-\frac{\sqrt{d x -1}\, \sqrt{d x +1}\, \left(a \,d^{2} x^{2} \arctan \left(\frac{1}{\sqrt{d^{2} x^{2}-1}}\right)+2 c \,x^{2} \arctan \left(\frac{1}{\sqrt{d^{2} x^{2}-1}}\right)-2 \sqrt{d^{2} x^{2}-1}\, b x -\sqrt{d^{2} x^{2}-1}\, a \right) \mathrm{csgn}\left(d \right)^{2}}{2 \sqrt{d^{2} x^{2}-1}\, x^{2}}"," ",0,"-1/2*(d*x-1)^(1/2)*(d*x+1)^(1/2)*csgn(d)^2*(arctan(1/(d^2*x^2-1)^(1/2))*x^2*a*d^2+2*arctan(1/(d^2*x^2-1)^(1/2))*x^2*c-2*(d^2*x^2-1)^(1/2)*x*b-(d^2*x^2-1)^(1/2)*a)/(d^2*x^2-1)^(1/2)/x^2","C"
159,1,123,92,0.023000," ","int((c*x^2+b*x+a)/x^4/(d*x-1)^(1/2)/(d*x+1)^(1/2),x)","-\frac{\sqrt{d x -1}\, \sqrt{d x +1}\, \left(3 b \,d^{2} x^{3} \arctan \left(\frac{1}{\sqrt{d^{2} x^{2}-1}}\right)-4 \sqrt{d^{2} x^{2}-1}\, a \,d^{2} x^{2}-6 \sqrt{d^{2} x^{2}-1}\, c \,x^{2}-3 \sqrt{d^{2} x^{2}-1}\, b x -2 \sqrt{d^{2} x^{2}-1}\, a \right) \mathrm{csgn}\left(d \right)^{2}}{6 \sqrt{d^{2} x^{2}-1}\, x^{3}}"," ",0,"-1/6*(d*x-1)^(1/2)*(d*x+1)^(1/2)*csgn(d)^2*(3*arctan(1/(d^2*x^2-1)^(1/2))*x^3*b*d^2-4*(d^2*x^2-1)^(1/2)*x^2*a*d^2-6*(d^2*x^2-1)^(1/2)*x^2*c-3*(d^2*x^2-1)^(1/2)*b*x-2*(d^2*x^2-1)^(1/2)*a)/(d^2*x^2-1)^(1/2)/x^3","C"