1,1,1285,590,2.063000," ","int((g*x+f)^3*(a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2),x)","\frac{a \,f^{3} x \sqrt{-c^{2} d \,x^{2}+d}}{2}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f^{3}}{4 c \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} \arccos \left(c x \right) x^{2}}{15 c^{2} \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} c \sqrt{-c^{2} x^{2}+1}\, x^{5}}{25 \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} \sqrt{-c^{2} x^{2}+1}\, x^{3}}{45 c \left(c^{2} x^{2}-1\right)}+\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} \sqrt{-c^{2} x^{2}+1}\, x}{15 c^{3} \left(c^{2} x^{2}-1\right)}-\frac{9 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \,g^{2} \arccos \left(c x \right) x^{3}}{8 \left(c^{2} x^{2}-1\right)}-\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \,g^{2} \sqrt{-c^{2} x^{2}+1}}{128 c^{3} \left(c^{2} x^{2}-1\right)}-\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \arccos \left(c x \right) x^{2} f^{2}}{c^{2} x^{2}-1}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f^{3} c \sqrt{-c^{2} x^{2}+1}\, x^{2}}{4 \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \,f^{2} \arccos \left(c x \right)}{c^{2} \left(c^{2} x^{2}-1\right)}-\frac{4 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} \arccos \left(c x \right) x^{4}}{15 \left(c^{2} x^{2}-1\right)}+\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} \arccos \left(c x \right)}{15 c^{4} \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f^{3} \sqrt{-c^{2} x^{2}+1}}{8 c \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f^{3} \arccos \left(c x \right) x}{2 \left(c^{2} x^{2}-1\right)}-\frac{a \,g^{3} x^{2} \left(-c^{2} d \,x^{2}+d \right)^{\frac{3}{2}}}{5 c^{2} d}+\frac{3 a f \,g^{2} x \sqrt{-c^{2} d \,x^{2}+d}}{8 c^{2}}-\frac{a \,f^{2} g \left(-c^{2} d \,x^{2}+d \right)^{\frac{3}{2}}}{c^{2} d}+\frac{a \,f^{3} d \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{2 \sqrt{c^{2} d}}-\frac{3 a f \,g^{2} x \left(-c^{2} d \,x^{2}+d \right)^{\frac{3}{2}}}{4 c^{2} d}+\frac{3 a f \,g^{2} d \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{8 c^{2} \sqrt{c^{2} d}}-\frac{2 a \,g^{3} \left(-c^{2} d \,x^{2}+d \right)^{\frac{3}{2}}}{15 d \,c^{4}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f^{3} c^{2} \arccos \left(c x \right) x^{3}}{2 c^{2} x^{2}-2}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \,c^{2} \arccos \left(c x \right) x^{4} f^{2}}{c^{2} x^{2}-1}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \,g^{2} \sqrt{-c^{2} x^{2}+1}\, x^{2}}{16 c \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g c \sqrt{-c^{2} x^{2}+1}\, x^{3} f^{2}}{3 \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \sqrt{-c^{2} x^{2}+1}\, x \,f^{2}}{c \left(c^{2} x^{2}-1\right)}-\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \,g^{2} c \sqrt{-c^{2} x^{2}+1}\, x^{4}}{16 \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} c^{2} \arccos \left(c x \right) x^{6}}{5 c^{2} x^{2}-5}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f \,g^{2}}{16 c^{3} \left(c^{2} x^{2}-1\right)}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \,g^{2} c^{2} \arccos \left(c x \right) x^{5}}{4 \left(c^{2} x^{2}-1\right)}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \,g^{2} \arccos \left(c x \right) x}{8 c^{2} \left(c^{2} x^{2}-1\right)}"," ",0,"1/2*a*f^3*x*(-c^2*d*x^2+d)^(1/2)+1/4*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/(c^2*x^2-1)*arccos(c*x)^2*f^3+1/5*b*(-d*(c^2*x^2-1))^(1/2)*g^3*c^2/(c^2*x^2-1)*arccos(c*x)*x^6-1/15*b*(-d*(c^2*x^2-1))^(1/2)*g^3/c^2/(c^2*x^2-1)*arccos(c*x)*x^2-1/25*b*(-d*(c^2*x^2-1))^(1/2)*g^3*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^5+1/45*b*(-d*(c^2*x^2-1))^(1/2)*g^3/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^3+2/15*b*(-d*(c^2*x^2-1))^(1/2)*g^3/c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-9/8*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2/(c^2*x^2-1)*arccos(c*x)*x^3-3/128*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2/c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)-2*b*(-d*(c^2*x^2-1))^(1/2)*g/(c^2*x^2-1)*arccos(c*x)*x^2*f^2-1/4*b*(-d*(c^2*x^2-1))^(1/2)*f^3*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2+b*(-d*(c^2*x^2-1))^(1/2)*g/c^2/(c^2*x^2-1)*f^2*arccos(c*x)+1/2*b*(-d*(c^2*x^2-1))^(1/2)*f^3*c^2/(c^2*x^2-1)*arccos(c*x)*x^3-4/15*b*(-d*(c^2*x^2-1))^(1/2)*g^3/(c^2*x^2-1)*arccos(c*x)*x^4+2/15*b*(-d*(c^2*x^2-1))^(1/2)*g^3/c^4/(c^2*x^2-1)*arccos(c*x)+1/8*b*(-d*(c^2*x^2-1))^(1/2)*f^3/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)-1/2*b*(-d*(c^2*x^2-1))^(1/2)*f^3/(c^2*x^2-1)*arccos(c*x)*x-1/5*a*g^3*x^2*(-c^2*d*x^2+d)^(3/2)/c^2/d+3/8*a*f*g^2/c^2*x*(-c^2*d*x^2+d)^(1/2)-a*f^2*g/c^2/d*(-c^2*d*x^2+d)^(3/2)+1/2*a*f^3*d/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))-3/4*a*f*g^2*x*(-c^2*d*x^2+d)^(3/2)/c^2/d+3/8*a*f*g^2/c^2*d/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))-2/15*a*g^3/d/c^4*(-c^2*d*x^2+d)^(3/2)+b*(-d*(c^2*x^2-1))^(1/2)*g*c^2/(c^2*x^2-1)*arccos(c*x)*x^4*f^2+3/16*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2-1/3*b*(-d*(c^2*x^2-1))^(1/2)*g*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^3*f^2+b*(-d*(c^2*x^2-1))^(1/2)*g/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*f^2-3/16*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^4+3/16*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c^3/(c^2*x^2-1)*arccos(c*x)^2*f*g^2+3/4*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*c^2/(c^2*x^2-1)*arccos(c*x)*x^5+3/8*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2/c^2/(c^2*x^2-1)*arccos(c*x)*x","B"
2,1,912,392,1.323000," ","int((g*x+f)^2*(a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2),x)","-\frac{a \,g^{2} x \left(-c^{2} d \,x^{2}+d \right)^{\frac{3}{2}}}{4 c^{2} d}+\frac{a \,g^{2} x \sqrt{-c^{2} d \,x^{2}+d}}{8 c^{2}}+\frac{a \,g^{2} d \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{8 c^{2} \sqrt{c^{2} d}}-\frac{2 a f g \left(-c^{2} d \,x^{2}+d \right)^{\frac{3}{2}}}{3 c^{2} d}+\frac{a \,f^{2} x \sqrt{-c^{2} d \,x^{2}+d}}{2}+\frac{a \,f^{2} d \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{2 \sqrt{c^{2} d}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f^{2} \sqrt{-c^{2} x^{2}+1}}{8 c \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f^{2} \arccos \left(c x \right) x}{2 \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f^{2}}{4 c \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} g^{2}}{16 c^{3} \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{2} c^{2} \arccos \left(c x \right) x^{5}}{4 c^{2} x^{2}-4}-\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{2} \arccos \left(c x \right) x^{3}}{8 \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{2} \sqrt{-c^{2} x^{2}+1}}{128 c^{3} \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{2} \arccos \left(c x \right) x}{8 c^{2} \left(c^{2} x^{2}-1\right)}+\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f g \arccos \left(c x \right)}{3 c^{2} \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f^{2} c^{2} \arccos \left(c x \right) x^{3}}{2 c^{2} x^{2}-2}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f^{2} c \sqrt{-c^{2} x^{2}+1}\, x^{2}}{4 \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{2} c \sqrt{-c^{2} x^{2}+1}\, x^{4}}{16 \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{2} \sqrt{-c^{2} x^{2}+1}\, x^{2}}{16 c \left(c^{2} x^{2}-1\right)}+\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f g \,c^{2} \arccos \left(c x \right) x^{4}}{3 \left(c^{2} x^{2}-1\right)}-\frac{4 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f g \arccos \left(c x \right) x^{2}}{3 \left(c^{2} x^{2}-1\right)}-\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f g c \sqrt{-c^{2} x^{2}+1}\, x^{3}}{9 \left(c^{2} x^{2}-1\right)}+\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f g \sqrt{-c^{2} x^{2}+1}\, x}{3 c \left(c^{2} x^{2}-1\right)}"," ",0,"-1/4*a*g^2*x*(-c^2*d*x^2+d)^(3/2)/c^2/d+1/8*a*g^2/c^2*x*(-c^2*d*x^2+d)^(1/2)+1/8*a*g^2/c^2*d/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))-2/3*a*f*g/c^2/d*(-c^2*d*x^2+d)^(3/2)+1/2*a*f^2*x*(-c^2*d*x^2+d)^(1/2)+1/2*a*f^2*d/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))+1/8*b*(-d*(c^2*x^2-1))^(1/2)*f^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)-1/2*b*(-d*(c^2*x^2-1))^(1/2)*f^2/(c^2*x^2-1)*arccos(c*x)*x+1/4*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/(c^2*x^2-1)*arccos(c*x)^2*f^2+1/16*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c^3/(c^2*x^2-1)*arccos(c*x)^2*g^2+1/4*b*(-d*(c^2*x^2-1))^(1/2)*g^2*c^2/(c^2*x^2-1)*arccos(c*x)*x^5-3/8*b*(-d*(c^2*x^2-1))^(1/2)*g^2/(c^2*x^2-1)*arccos(c*x)*x^3-1/128*b*(-d*(c^2*x^2-1))^(1/2)*g^2/c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)+1/8*b*(-d*(c^2*x^2-1))^(1/2)*g^2/c^2/(c^2*x^2-1)*arccos(c*x)*x+2/3*b*(-d*(c^2*x^2-1))^(1/2)*f*g/c^2/(c^2*x^2-1)*arccos(c*x)+1/2*b*(-d*(c^2*x^2-1))^(1/2)*f^2*c^2/(c^2*x^2-1)*arccos(c*x)*x^3-1/4*b*(-d*(c^2*x^2-1))^(1/2)*f^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2-1/16*b*(-d*(c^2*x^2-1))^(1/2)*g^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^4+1/16*b*(-d*(c^2*x^2-1))^(1/2)*g^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2+2/3*b*(-d*(c^2*x^2-1))^(1/2)*f*g*c^2/(c^2*x^2-1)*arccos(c*x)*x^4-4/3*b*(-d*(c^2*x^2-1))^(1/2)*f*g/(c^2*x^2-1)*arccos(c*x)*x^2-2/9*b*(-d*(c^2*x^2-1))^(1/2)*f*g*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^3+2/3*b*(-d*(c^2*x^2-1))^(1/2)*f*g/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x","B"
3,1,491,206,1.059000," ","int((g*x+f)*(a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2),x)","-\frac{a g \left(-c^{2} d \,x^{2}+d \right)^{\frac{3}{2}}}{3 c^{2} d}+\frac{a f x \sqrt{-c^{2} d \,x^{2}+d}}{2}+\frac{a f d \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{2 \sqrt{c^{2} d}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f}{4 c \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \,c^{2} \arccos \left(c x \right) x^{4}}{3 c^{2} x^{2}-3}-\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \arccos \left(c x \right) x^{2}}{3 \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \,c^{2} \arccos \left(c x \right) x^{3}}{2 c^{2} x^{2}-2}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \sqrt{-c^{2} x^{2}+1}}{8 c \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \arccos \left(c x \right) x}{2 \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g c \sqrt{-c^{2} x^{2}+1}\, x^{3}}{9 \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \sqrt{-c^{2} x^{2}+1}\, x}{3 c \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \arccos \left(c x \right)}{3 c^{2} \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f c \sqrt{-c^{2} x^{2}+1}\, x^{2}}{4 \left(c^{2} x^{2}-1\right)}"," ",0,"-1/3*a*g/c^2/d*(-c^2*d*x^2+d)^(3/2)+1/2*a*f*x*(-c^2*d*x^2+d)^(1/2)+1/2*a*f*d/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))+1/4*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/(c^2*x^2-1)*arccos(c*x)^2*f+1/3*b*(-d*(c^2*x^2-1))^(1/2)*g*c^2/(c^2*x^2-1)*arccos(c*x)*x^4-2/3*b*(-d*(c^2*x^2-1))^(1/2)*g/(c^2*x^2-1)*arccos(c*x)*x^2+1/2*b*(-d*(c^2*x^2-1))^(1/2)*f*c^2/(c^2*x^2-1)*arccos(c*x)*x^3+1/8*b*(-d*(c^2*x^2-1))^(1/2)*f/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)-1/2*b*(-d*(c^2*x^2-1))^(1/2)*f/(c^2*x^2-1)*arccos(c*x)*x-1/9*b*(-d*(c^2*x^2-1))^(1/2)*g*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^3+1/3*b*(-d*(c^2*x^2-1))^(1/2)*g/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+1/3*b*(-d*(c^2*x^2-1))^(1/2)*g/c^2/(c^2*x^2-1)*arccos(c*x)-1/4*b*(-d*(c^2*x^2-1))^(1/2)*f*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2","B"
4,1,1209,691,0.956000," ","int((a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f),x)","\frac{a \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{g}+\frac{a \,c^{2} d f \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}\right)}{g^{2} \sqrt{c^{2} d}}+\frac{a d \ln \left(\frac{-\frac{2 d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}+2 \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{x +\frac{f}{g}}\right) c^{2} f^{2}}{g^{3} \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}-\frac{a d \ln \left(\frac{-\frac{2 d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}+2 \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{x +\frac{f}{g}}\right)}{g \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f c}{2 \left(c^{2} x^{2}-1\right) g^{2}}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, x c}{\left(c^{2} x^{2}-1\right) g}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) x^{2} c^{2}}{\left(c^{2} x^{2}-1\right) g}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right)}{\left(c^{2} x^{2}-1\right) g}+\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{c^{2} f^{2}-g^{2}}\, \sqrt{-c^{2} x^{2}+1}\, \ln \left(\frac{-\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g -c f +\sqrt{c^{2} f^{2}-g^{2}}}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \arccos \left(c x \right)}{\left(c^{2} x^{2}-1\right) g^{2}}-\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{c^{2} f^{2}-g^{2}}\, \sqrt{-c^{2} x^{2}+1}\, \ln \left(\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g +c f +\sqrt{c^{2} f^{2}-g^{2}}}{c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \arccos \left(c x \right)}{\left(c^{2} x^{2}-1\right) g^{2}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{c^{2} f^{2}-g^{2}}\, \sqrt{-c^{2} x^{2}+1}\, \dilog \left(-\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}-\frac{c f}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}+\frac{\sqrt{c^{2} f^{2}-g^{2}}}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}\right)}{\left(c^{2} x^{2}-1\right) g^{2}}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{c^{2} f^{2}-g^{2}}\, \sqrt{-c^{2} x^{2}+1}\, \dilog \left(\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g}{c f +\sqrt{c^{2} f^{2}-g^{2}}}+\frac{c f}{c f +\sqrt{c^{2} f^{2}-g^{2}}}+\frac{\sqrt{c^{2} f^{2}-g^{2}}}{c f +\sqrt{c^{2} f^{2}-g^{2}}}\right)}{\left(c^{2} x^{2}-1\right) g^{2}}"," ",0,"a/g*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)+a/g^2*c^2*d*f/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))+a/g^3*d/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))*c^2*f^2-a/g*d/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))+1/2*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)*arccos(c*x)^2*f*c/g^2-b*(-d*(c^2*x^2-1))^(1/2)/(c^2*x^2-1)/g*(-c^2*x^2+1)^(1/2)*x*c+b*(-d*(c^2*x^2-1))^(1/2)/(c^2*x^2-1)/g*arccos(c*x)*x^2*c^2-b*(-d*(c^2*x^2-1))^(1/2)/(c^2*x^2-1)/g*arccos(c*x)+I*b*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^2*ln((-(c*x+I*(-c^2*x^2+1)^(1/2))*g-c*f+(c^2*f^2-g^2)^(1/2))/(-c*f+(c^2*f^2-g^2)^(1/2)))*arccos(c*x)-I*b*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^2*ln(((c*x+I*(-c^2*x^2+1)^(1/2))*g+c*f+(c^2*f^2-g^2)^(1/2))/(c*f+(c^2*f^2-g^2)^(1/2)))*arccos(c*x)+b*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^2*dilog(-1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c*x+I*(-c^2*x^2+1)^(1/2))*g-1/(-c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))-b*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^2*dilog((c*x+I*(-c^2*x^2+1)^(1/2))*g/(c*f+(c^2*f^2-g^2)^(1/2))+1/(c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))","A"
5,1,1573,813,1.242000," ","int((a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f)^2,x)","\frac{a \left(-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}\right)^{\frac{3}{2}}}{d \left(c^{2} f^{2}-g^{2}\right) \left(x +\frac{f}{g}\right)}-\frac{a \,c^{2} f \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{g \left(c^{2} f^{2}-g^{2}\right)}-\frac{a \,c^{4} f^{2} d \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}\right)}{g^{2} \left(c^{2} f^{2}-g^{2}\right) \sqrt{c^{2} d}}-\frac{a \,c^{4} f^{3} d \ln \left(\frac{-\frac{2 d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}+2 \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{x +\frac{f}{g}}\right)}{g^{3} \left(c^{2} f^{2}-g^{2}\right) \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}+\frac{a \,c^{2} f d \ln \left(\frac{-\frac{2 d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}+2 \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{x +\frac{f}{g}}\right)}{g \left(c^{2} f^{2}-g^{2}\right) \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}+\frac{a \,c^{2} \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, x}{c^{2} f^{2}-g^{2}}+\frac{a \,c^{2} d \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}\right)}{\left(c^{2} f^{2}-g^{2}\right) \sqrt{c^{2} d}}+b \left(-\frac{\sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} c}{2 \left(c^{2} x^{2}-1\right) g^{2}}-\frac{\sqrt{-d \left(c^{2} x^{2}-1\right)}\, \left(c^{2} x^{2}-i \sqrt{-c^{2} x^{2}+1}\, x c -1\right) \arccos \left(c x \right) \left(c^{2} f x +g +i \sqrt{-c^{2} x^{2}+1}\, c f \right)}{\left(c^{2} x^{2}-1\right) g^{2} \left(g x +f \right)}-\frac{c \left(i \ln \left(\frac{-\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g -c f +\sqrt{c^{2} f^{2}-g^{2}}}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \sqrt{c^{2} f^{2}-g^{2}}\, \arccos \left(c x \right) c f -i \ln \left(\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g +c f +\sqrt{c^{2} f^{2}-g^{2}}}{c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \sqrt{c^{2} f^{2}-g^{2}}\, \arccos \left(c x \right) c f -2 \Im \left(\arccos \left(c x \right)\right) c^{2} f^{2}+2 \ln \left({\mathrm e}^{i \Re \left(\arccos \left(c x \right)\right)}\right) c^{2} f^{2}-\ln \left(\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2} g +2 c f \left(c x +i \sqrt{-c^{2} x^{2}+1}\right)+g \right) c^{2} f^{2}+\dilog \left(-\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}-\frac{c f}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}+\frac{\sqrt{c^{2} f^{2}-g^{2}}}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \sqrt{c^{2} f^{2}-g^{2}}\, c f -\dilog \left(\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g}{c f +\sqrt{c^{2} f^{2}-g^{2}}}+\frac{c f}{c f +\sqrt{c^{2} f^{2}-g^{2}}}+\frac{\sqrt{c^{2} f^{2}-g^{2}}}{c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \sqrt{c^{2} f^{2}-g^{2}}\, c f +2 \Im \left(\arccos \left(c x \right)\right) g^{2}-2 \ln \left({\mathrm e}^{i \Re \left(\arccos \left(c x \right)\right)}\right) g^{2}+\ln \left(\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2} g +2 c f \left(c x +i \sqrt{-c^{2} x^{2}+1}\right)+g \right) g^{2}\right) \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}}{\left(c^{2} f^{2}-g^{2}\right) \left(c^{2} x^{2}-1\right) g^{2}}\right)"," ",0,"a/d/(c^2*f^2-g^2)/(x+f/g)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(3/2)-a/g*c^2*f/(c^2*f^2-g^2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)-a/g^2*c^4*f^2/(c^2*f^2-g^2)*d/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))-a/g^3*c^4*f^3/(c^2*f^2-g^2)*d/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))+a/g*c^2*f/(c^2*f^2-g^2)*d/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))+a*c^2/(c^2*f^2-g^2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)*x+a*c^2/(c^2*f^2-g^2)*d/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))+b*(-1/2*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)*arccos(c*x)^2*c/g^2-(-d*(c^2*x^2-1))^(1/2)*(c^2*x^2-I*(-c^2*x^2+1)^(1/2)*x*c-1)*arccos(c*x)*(c^2*f*x+g+I*(-c^2*x^2+1)^(1/2)*c*f)/(c^2*x^2-1)/g^2/(g*x+f)-c*(I*ln((-(c*x+I*(-c^2*x^2+1)^(1/2))*g-c*f+(c^2*f^2-g^2)^(1/2))/(-c*f+(c^2*f^2-g^2)^(1/2)))*(c^2*f^2-g^2)^(1/2)*arccos(c*x)*c*f-I*ln(((c*x+I*(-c^2*x^2+1)^(1/2))*g+c*f+(c^2*f^2-g^2)^(1/2))/(c*f+(c^2*f^2-g^2)^(1/2)))*(c^2*f^2-g^2)^(1/2)*arccos(c*x)*c*f-2*Im(arccos(c*x))*c^2*f^2+2*ln(exp(I*Re(arccos(c*x))))*c^2*f^2-ln((c*x+I*(-c^2*x^2+1)^(1/2))^2*g+2*c*f*(c*x+I*(-c^2*x^2+1)^(1/2))+g)*c^2*f^2+dilog(-1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c*x+I*(-c^2*x^2+1)^(1/2))*g-1/(-c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2)*c*f-dilog((c*x+I*(-c^2*x^2+1)^(1/2))*g/(c*f+(c^2*f^2-g^2)^(1/2))+1/(c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2)*c*f+2*Im(arccos(c*x))*g^2-2*ln(exp(I*Re(arccos(c*x))))*g^2+ln((c*x+I*(-c^2*x^2+1)^(1/2))^2*g+2*c*f*(c*x+I*(-c^2*x^2+1)^(1/2))+g)*g^2)*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*f^2-g^2)/(c^2*x^2-1)/g^2)","C"
6,1,3314,843,1.940000," ","int((g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x)","\text{output too large to display}"," ",0,"-1/7*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d/(c^2*x^2-1)*c^4*arccos(c*x)*x^8+13/35*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d/(c^2*x^2-1)*c^2*arccos(c*x)*x^6-1/35*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d/(c^2*x^2-1)/c^2*arccos(c*x)*x^2+3/5*b*(-d*(c^2*x^2-1))^(1/2)*g*d/(c^2*x^2-1)/c^2*f^2*arccos(c*x)-1/8*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d*c^4/(c^2*x^2-1)*arccos(c*x)*x^5+7/16*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d*c^2/(c^2*x^2-1)*arccos(c*x)*x^3+9/64*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d/c/(c^2*x^2-1)*arccos(c*x)+3/512*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d/c/(c^2*x^2-1)*x^2*g^2+1/12*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^6-11/64*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^4+9/128*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2+3/25*b*(-d*(c^2*x^2-1))^(1/2)*g*d/(c^2*x^2-1)*c^3*(-c^2*x^2+1)^(1/2)*x^5*f^2+9/5*b*(-d*(c^2*x^2-1))^(1/2)*g*d/(c^2*x^2-1)*c^2*arccos(c*x)*x^4*f^2-7/64*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x+3/32*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c^3/(c^2*x^2-1)*arccos(c*x)^2*f*d*g^2-1/2*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d*c^4/(c^2*x^2-1)*arccos(c*x)*x^7+19/16*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d*c^2/(c^2*x^2-1)*arccos(c*x)*x^5+9/64*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d/c^2/(c^2*x^2-1)*arccos(c*x)*x-3/5*b*(-d*(c^2*x^2-1))^(1/2)*g*d/(c^2*x^2-1)*c^4*arccos(c*x)*x^6*f^2-9/64*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d*c/(c^2*x^2-1)*arccos(c*x)*x^2+3/5*b*(-d*(c^2*x^2-1))^(1/2)*g*d/(c^2*x^2-1)/c*(-c^2*x^2+1)^(1/2)*x*f^2-17/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+3/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d*c^2/(c^2*x^2-1)*x^5-9/512*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d/c^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*g^2+17/256*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d*c/(c^2*x^2-1)*x^2-3/512*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d/c^3/(c^2*x^2-1)*g^2+3/8*a*f^3*d*x*(-c^2*d*x^2+d)^(1/2)+1/32*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^4-5/32*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2-15/256*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+1/49*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d/(c^2*x^2-1)*c^3*(-c^2*x^2+1)^(1/2)*x^7-8/175*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d/(c^2*x^2-1)*c*(-c^2*x^2+1)^(1/2)*x^5+1/105*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d/(c^2*x^2-1)/c*(-c^2*x^2+1)^(1/2)*x^3+2/35*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d/(c^2*x^2-1)/c^3*(-c^2*x^2+1)^(1/2)*x+5/1536*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d/c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)-3/32*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d/(c^2*x^2-1)*x^3-1/32*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d*c^4/(c^2*x^2-1)*x^5-5/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d*c^2/(c^2*x^2-1)*x^3+15/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d/c/(c^2*x^2-1)-53/64*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d/(c^2*x^2-1)*arccos(c*x)*x^3-9/5*b*(-d*(c^2*x^2-1))^(1/2)*g*d/(c^2*x^2-1)*arccos(c*x)*x^2*f^2+3/16*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/(c^2*x^2-1)*arccos(c*x)^2*f^3*d-1/8*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d*c^3/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^4-17/256*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d/c/(c^2*x^2-1)+17/256*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)+2/35*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d/(c^2*x^2-1)/c^4*arccos(c*x)-9/35*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d/(c^2*x^2-1)*arccos(c*x)*x^4-5/16*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d/(c^2*x^2-1)*arccos(c*x)*x+7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d/(c^2*x^2-1)*x-1/2*a*f*g^2*x*(-c^2*d*x^2+d)^(5/2)/c^2/d+3/16*a*f*g^2/c^2*d*x*(-c^2*d*x^2+d)^(1/2)+3/16*a*f*g^2/c^2*d^2/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))+3/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d/c^2/(c^2*x^2-1)*x-2/5*b*(-d*(c^2*x^2-1))^(1/2)*g*d/(c^2*x^2-1)*c*(-c^2*x^2+1)^(1/2)*x^3*f^2-15/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d*c/(c^2*x^2-1)*x^2-1/8*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d*c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^2-9/512*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d/c/(c^2*x^2-1)*x^2*g^2-7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d*c/(c^2*x^2-1)*arccos(c*x)*x^2+9/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x+3/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d/c^3/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)+3/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d/c^3/(c^2*x^2-1)*arccos(c*x)*g^2-3/512*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d/c^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*g^2-15/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d/c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^2+9/512*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d/c^3/(c^2*x^2-1)*g^2+7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d/c/(c^2*x^2-1)*arccos(c*x)+7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d/c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)+3/8*a*f^3*d^2/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))-2/35*a*g^3/d/c^4*(-c^2*d*x^2+d)^(5/2)-3/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d/c/(c^2*x^2-1)*arccos(c*x)*x^2*g^2-3/64*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d/c^2/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x*g^2+3/16*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d*c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^4+1/4*a*f^3*x*(-c^2*d*x^2+d)^(3/2)-1/7*a*g^3*x^2*(-c^2*d*x^2+d)^(5/2)/c^2/d+1/8*a*f*g^2/c^2*x*(-c^2*d*x^2+d)^(3/2)-3/5*a*f^2*g/c^2/d*(-c^2*d*x^2+d)^(5/2)","C"
7,1,3643,596,1.345000," ","int((g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x)","\text{output too large to display}"," ",0,"-5/16*b*(-d*(c^2*x^2-1))^(1/2)*d/(c^2*x^2-1)*arccos(c*x)*x*f^2-1/32*I*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d/(c^2*x^2-1)*x^3+7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*d/(c^2*x^2-1)*x*f^2-17/256*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d/c/(c^2*x^2-1)*f^2-1/512*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d/c^3/(c^2*x^2-1)*g^2+5/4608*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d/c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)+17/256*b*(-d*(c^2*x^2-1))^(1/2)*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*f^2-53/192*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d/(c^2*x^2-1)*arccos(c*x)*x^3-1/512*I*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d/c^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*g^2+9/64*I*b*(-d*(c^2*x^2-1))^(1/2)*cos(3*arccos(c*x))*d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x*f^2-1/64*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d/c^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x*g^2-1/6*a*g^2*x*(-c^2*d*x^2+d)^(5/2)/c^2/d+1/16*a*g^2/c^2*d*x*(-c^2*d*x^2+d)^(1/2)+1/16*a*g^2/c^2*d^2/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))-2/5*a*f*g/c^2/d*(-c^2*d*x^2+d)^(5/2)+1/64*I*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d/c^3/(c^2*x^2-1)*arccos(c*x)*g^2-17/256*I*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*f^2+3/40*b*(-d*(c^2*x^2-1))^(1/2)*f*g*cos(4*arccos(c*x))*d/c^2/(c^2*x^2-1)*arccos(c*x)-9/64*b*(-d*(c^2*x^2-1))^(1/2)*cos(3*arccos(c*x))*d*c/(c^2*x^2-1)*arccos(c*x)*x^2*f^2-7/64*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x*f^2+1/25*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^5-2/15*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^3+13/40*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-3/512*b*(-d*(c^2*x^2-1))^(1/2)*cos(3*arccos(c*x))*d/c^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*g^2-3/40*b*(-d*(c^2*x^2-1))^(1/2)*f*g*cos(4*arccos(c*x))*d/(c^2*x^2-1)*arccos(c*x)*x^2-1/5*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d*c^4/(c^2*x^2-1)*arccos(c*x)*x^6+3/5*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d*c^2/(c^2*x^2-1)*arccos(c*x)*x^4+1/4*a*f^2*x*(-c^2*d*x^2+d)^(3/2)+1/8*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x-7/300*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*sin(4*arccos(c*x))*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-1/20*b*(-d*(c^2*x^2-1))^(1/2)*f*g*sin(4*arccos(c*x))*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x-1/5*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^5+1/24*a*g^2/c^2*x*(-c^2*d*x^2+d)^(3/2)-11/600*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*cos(4*arccos(c*x))*d/(c^2*x^2-1)*x^2+1/64*I*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d/c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)-1/25*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d*c^4/(c^2*x^2-1)*x^6-1/75*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d*c^2/(c^2*x^2-1)*x^4+7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*f^2+11/600*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*cos(4*arccos(c*x))*d/c^2/(c^2*x^2-1)-15/256*I*b*(-d*(c^2*x^2-1))^(1/2)*cos(3*arccos(c*x))*d*c/(c^2*x^2-1)*x^2*f^2-3/512*I*b*(-d*(c^2*x^2-1))^(1/2)*cos(3*arccos(c*x))*d/c/(c^2*x^2-1)*x^2*g^2+7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d/c/(c^2*x^2-1)*arccos(c*x)*f^2-11/600*b*(-d*(c^2*x^2-1))^(1/2)*f*g*cos(4*arccos(c*x))*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-1/8*I*b*(-d*(c^2*x^2-1))^(1/2)*d*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^4*f^2-1/8*I*b*(-d*(c^2*x^2-1))^(1/2)*d*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^2*f^2-1/20*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*sin(4*arccos(c*x))*d/(c^2*x^2-1)*arccos(c*x)*x^2+1/16*I*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^4-5/64*I*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^2+1/20*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*sin(4*arccos(c*x))*d/c^2/(c^2*x^2-1)*arccos(c*x)-7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d*c/(c^2*x^2-1)*arccos(c*x)*x^2*f^2-1/64*I*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d/c/(c^2*x^2-1)*arccos(c*x)*x^2*g^2+3/8*a*f^2*d*x*(-c^2*d*x^2+d)^(1/2)+3/8*a*f^2*d^2/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))+3/40*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*cos(4*arccos(c*x))*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x-1/32*I*b*(-d*(c^2*x^2-1))^(1/2)*d*c^4/(c^2*x^2-1)*x^5*f^2-5/64*I*b*(-d*(c^2*x^2-1))^(1/2)*d*c^2/(c^2*x^2-1)*x^3*f^2-29/40*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d/(c^2*x^2-1)*arccos(c*x)*x^2+3/16*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/(c^2*x^2-1)*arccos(c*x)^2*d*f^2+1/32*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c^3/(c^2*x^2-1)*arccos(c*x)^2*d*g^2-1/6*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d*c^4/(c^2*x^2-1)*arccos(c*x)*x^7+19/48*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d*c^2/(c^2*x^2-1)*arccos(c*x)*x^5+9/64*b*(-d*(c^2*x^2-1))^(1/2)*cos(3*arccos(c*x))*d/c/(c^2*x^2-1)*f^2*arccos(c*x)+3/64*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d/c^2/(c^2*x^2-1)*arccos(c*x)*x+13/40*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d/c^2/(c^2*x^2-1)*arccos(c*x)-1/8*b*(-d*(c^2*x^2-1))^(1/2)*d*c^4/(c^2*x^2-1)*arccos(c*x)*x^5*f^2+7/16*b*(-d*(c^2*x^2-1))^(1/2)*d*c^2/(c^2*x^2-1)*arccos(c*x)*x^3*f^2+1/36*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^6-11/192*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^4+3/128*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2+1/32*b*(-d*(c^2*x^2-1))^(1/2)*d*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^4*f^2-5/32*b*(-d*(c^2*x^2-1))^(1/2)*d*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2*f^2-7/300*b*(-d*(c^2*x^2-1))^(1/2)*f*g*sin(4*arccos(c*x))*d/c^2/(c^2*x^2-1)+17/256*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d*c/(c^2*x^2-1)*x^2*f^2+1/512*b*(-d*(c^2*x^2-1))^(1/2)*sin(3*arccos(c*x))*d/c/(c^2*x^2-1)*x^2*g^2+7/300*b*(-d*(c^2*x^2-1))^(1/2)*f*g*sin(4*arccos(c*x))*d/(c^2*x^2-1)*x^2-15/256*b*(-d*(c^2*x^2-1))^(1/2)*cos(3*arccos(c*x))*d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*f^2+43/600*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d/(c^2*x^2-1)*x^2+1/64*I*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d*c^2/(c^2*x^2-1)*x^5+15/256*I*b*(-d*(c^2*x^2-1))^(1/2)*cos(3*arccos(c*x))*d/c/(c^2*x^2-1)*f^2+3/512*I*b*(-d*(c^2*x^2-1))^(1/2)*cos(3*arccos(c*x))*d/c^3/(c^2*x^2-1)*g^2+1/64*I*b*(-d*(c^2*x^2-1))^(1/2)*g^2*d/c^2/(c^2*x^2-1)*x-11/600*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g*d/c^2/(c^2*x^2-1)","C"
8,1,2320,322,1.032000," ","int((g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x)","-\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \,c^{4} x^{6}}{50 \left(c^{2} x^{2}-1\right)}-\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \,c^{2} x^{4}}{150 \left(c^{2} x^{2}-1\right)}-\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \,c^{4} x^{5}}{32 \left(c^{2} x^{2}-1\right)}-\frac{5 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \,c^{2} x^{3}}{64 \left(c^{2} x^{2}-1\right)}-\frac{11 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \cos \left(4 \arccos \left(c x \right)\right) d \,x^{2}}{1200 \left(c^{2} x^{2}-1\right)}+\frac{11 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \cos \left(4 \arccos \left(c x \right)\right) d}{1200 c^{2} \left(c^{2} x^{2}-1\right)}+\frac{15 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \cos \left(3 \arccos \left(c x \right)\right) d}{256 c \left(c^{2} x^{2}-1\right)}+\frac{7 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d x}{64 \left(c^{2} x^{2}-1\right)}-\frac{11 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d}{1200 c^{2} \left(c^{2} x^{2}-1\right)}+\frac{43 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \,x^{2}}{1200 \left(c^{2} x^{2}-1\right)}-\frac{a g \left(-c^{2} d \,x^{2}+d \right)^{\frac{5}{2}}}{5 c^{2} d}+\frac{3 a f d x \sqrt{-c^{2} d \,x^{2}+d}}{8}+\frac{a f x \left(-c^{2} d \,x^{2}+d \right)^{\frac{3}{2}}}{4}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \sin \left(4 \arccos \left(c x \right)\right) d \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\, x}{40 c \left(c^{2} x^{2}-1\right)}-\frac{17 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \sin \left(3 \arccos \left(c x \right)\right) d}{256 c \left(c^{2} x^{2}-1\right)}+\frac{17 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \sqrt{-c^{2} x^{2}+1}}{256 c \left(c^{2} x^{2}-1\right)}+\frac{7 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \sin \left(4 \arccos \left(c x \right)\right) d \,x^{2}}{600 \left(c^{2} x^{2}-1\right)}-\frac{11 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \cos \left(4 \arccos \left(c x \right)\right) d \sqrt{-c^{2} x^{2}+1}\, x}{1200 c \left(c^{2} x^{2}-1\right)}-\frac{9 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \cos \left(3 \arccos \left(c x \right)\right) d c \arccos \left(c x \right) x^{2}}{64 \left(c^{2} x^{2}-1\right)}-\frac{7 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \sin \left(3 \arccos \left(c x \right)\right) d \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\, x}{64 \left(c^{2} x^{2}-1\right)}+\frac{13 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \arccos \left(c x \right)}{80 c^{2} \left(c^{2} x^{2}-1\right)}-\frac{29 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \arccos \left(c x \right) x^{2}}{80 \left(c^{2} x^{2}-1\right)}-\frac{5 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \arccos \left(c x \right) x}{16 \left(c^{2} x^{2}-1\right)}-\frac{7 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \sin \left(4 \arccos \left(c x \right)\right) d}{600 c^{2} \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \,c^{3} \sqrt{-c^{2} x^{2}+1}\, x^{5}}{50 c^{2} x^{2}-50}-\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \sin \left(4 \arccos \left(c x \right)\right) d \arccos \left(c x \right) x^{2}}{40 \left(c^{2} x^{2}-1\right)}-\frac{17 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \sin \left(3 \arccos \left(c x \right)\right) d \sqrt{-c^{2} x^{2}+1}\, x}{256 \left(c^{2} x^{2}-1\right)}+\frac{7 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \sin \left(3 \arccos \left(c x \right)\right) d \arccos \left(c x \right)}{64 c \left(c^{2} x^{2}-1\right)}+\frac{7 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}}{64 c \left(c^{2} x^{2}-1\right)}+\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \sin \left(4 \arccos \left(c x \right)\right) d \arccos \left(c x \right)}{40 c^{2} \left(c^{2} x^{2}-1\right)}-\frac{15 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \cos \left(3 \arccos \left(c x \right)\right) d c \,x^{2}}{256 \left(c^{2} x^{2}-1\right)}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \cos \left(4 \arccos \left(c x \right)\right) d \arccos \left(c x \right)}{80 c^{2} \left(c^{2} x^{2}-1\right)}+\frac{9 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \cos \left(3 \arccos \left(c x \right)\right) d \arccos \left(c x \right)}{64 c \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \,c^{4} \arccos \left(c x \right) x^{6}}{10 \left(c^{2} x^{2}-1\right)}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \,c^{2} \arccos \left(c x \right) x^{4}}{10 \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \,c^{4} \arccos \left(c x \right) x^{5}}{8 \left(c^{2} x^{2}-1\right)}+\frac{7 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \,c^{2} \arccos \left(c x \right) x^{3}}{16 \left(c^{2} x^{2}-1\right)}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f d}{16 c \left(c^{2} x^{2}-1\right)}-\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \cos \left(4 \arccos \left(c x \right)\right) d \arccos \left(c x \right) x^{2}}{80 \left(c^{2} x^{2}-1\right)}-\frac{15 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \cos \left(3 \arccos \left(c x \right)\right) d \sqrt{-c^{2} x^{2}+1}\, x}{256 \left(c^{2} x^{2}-1\right)}+\frac{17 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \sin \left(3 \arccos \left(c x \right)\right) d c \,x^{2}}{256 \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d c \sqrt{-c^{2} x^{2}+1}\, x^{3}}{15 \left(c^{2} x^{2}-1\right)}+\frac{13 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \sqrt{-c^{2} x^{2}+1}\, x}{80 c \left(c^{2} x^{2}-1\right)}-\frac{5 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d c \sqrt{-c^{2} x^{2}+1}\, x^{2}}{32 \left(c^{2} x^{2}-1\right)}+\frac{3 a f \,d^{2} \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{8 \sqrt{c^{2} d}}-\frac{7 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \sin \left(3 \arccos \left(c x \right)\right) d c \arccos \left(c x \right) x^{2}}{64 \left(c^{2} x^{2}-1\right)}+\frac{9 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \cos \left(3 \arccos \left(c x \right)\right) d \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\, x}{64 \left(c^{2} x^{2}-1\right)}-\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \,c^{3} \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\, x^{5}}{10 \left(c^{2} x^{2}-1\right)}+\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g d \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\, x}{16 c \left(c^{2} x^{2}-1\right)}-\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \,c^{3} \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\, x^{4}}{8 \left(c^{2} x^{2}-1\right)}-\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d c \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\, x^{2}}{8 \left(c^{2} x^{2}-1\right)}-\frac{7 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \sin \left(4 \arccos \left(c x \right)\right) d \sqrt{-c^{2} x^{2}+1}\, x}{600 c \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \,c^{3} \sqrt{-c^{2} x^{2}+1}\, x^{4}}{32 c^{2} x^{2}-32}+\frac{3 i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \cos \left(4 \arccos \left(c x \right)\right) d \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\, x}{80 c \left(c^{2} x^{2}-1\right)}"," ",0,"7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d/(c^2*x^2-1)*x-1/5*a*g/c^2/d*(-c^2*d*x^2+d)^(5/2)+3/8*a*f*d*x*(-c^2*d*x^2+d)^(1/2)+1/4*a*f*x*(-c^2*d*x^2+d)^(3/2)-1/40*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d/c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x-7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d*c/(c^2*x^2-1)*arccos(c*x)*x^2+9/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x-1/10*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d*c^3/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^5+1/16*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d/c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x-1/8*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c^3/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^4-1/8*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^2-7/600*I*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-17/256*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d/c/(c^2*x^2-1)+17/256*b*(-d*(c^2*x^2-1))^(1/2)*f*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)+7/600*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d/(c^2*x^2-1)*x^2-11/1200*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d/c^2/(c^2*x^2-1)+43/1200*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d/(c^2*x^2-1)*x^2-11/1200*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-9/64*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d*c/(c^2*x^2-1)*arccos(c*x)*x^2-1/40*I*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d/(c^2*x^2-1)*arccos(c*x)*x^2-17/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d/c/(c^2*x^2-1)*arccos(c*x)+7/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d/c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)+1/40*I*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d/c^2/(c^2*x^2-1)*arccos(c*x)-15/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d*c/(c^2*x^2-1)*x^2-7/64*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x+13/80*b*(-d*(c^2*x^2-1))^(1/2)*g*d/c^2/(c^2*x^2-1)*arccos(c*x)-29/80*b*(-d*(c^2*x^2-1))^(1/2)*g*d/(c^2*x^2-1)*arccos(c*x)*x^2-5/16*b*(-d*(c^2*x^2-1))^(1/2)*f*d/(c^2*x^2-1)*arccos(c*x)*x-7/600*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d/c^2/(c^2*x^2-1)+3/80*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d/c^2/(c^2*x^2-1)*arccos(c*x)+9/64*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d/c/(c^2*x^2-1)*arccos(c*x)-1/10*b*(-d*(c^2*x^2-1))^(1/2)*g*d*c^4/(c^2*x^2-1)*arccos(c*x)*x^6+3/10*b*(-d*(c^2*x^2-1))^(1/2)*g*d*c^2/(c^2*x^2-1)*arccos(c*x)*x^4-1/8*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c^4/(c^2*x^2-1)*arccos(c*x)*x^5+7/16*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c^2/(c^2*x^2-1)*arccos(c*x)*x^3+3/16*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/(c^2*x^2-1)*arccos(c*x)^2*f*d-3/80*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d/(c^2*x^2-1)*arccos(c*x)*x^2+11/1200*I*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d/c^2/(c^2*x^2-1)-15/256*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+17/256*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d*c/(c^2*x^2-1)*x^2-1/15*b*(-d*(c^2*x^2-1))^(1/2)*g*d*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^3+15/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d/c/(c^2*x^2-1)-1/50*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d*c^4/(c^2*x^2-1)*x^6-1/150*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d*c^2/(c^2*x^2-1)*x^4-1/32*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c^4/(c^2*x^2-1)*x^5-5/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c^2/(c^2*x^2-1)*x^3-11/1200*I*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d/(c^2*x^2-1)*x^2+13/80*b*(-d*(c^2*x^2-1))^(1/2)*g*d/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+1/32*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^4-5/32*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2+1/50*b*(-d*(c^2*x^2-1))^(1/2)*g*d*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^5+3/80*I*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d/c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x+3/8*a*f*d^2/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))","C"
9,1,2132,998,1.011000," ","int((-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/(g*x+f),x)","\frac{a \left(-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}\right)^{\frac{3}{2}}}{3 g}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \,c^{2} \arccos \left(c x \right) x}{2 \left(c^{2} x^{2}-1\right) g^{2}}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, d \arccos \left(c x \right) x^{2} c^{4} f^{2}}{\left(c^{2} x^{2}-1\right) g^{3}}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f^{3} d \,c^{3}}{2 \left(c^{2} x^{2}-1\right) g^{4}}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f d c}{4 \left(c^{2} x^{2}-1\right) g^{2}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \,c^{4} \arccos \left(c x \right) x^{3}}{2 \left(c^{2} x^{2}-1\right) g^{2}}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d \,c^{3} \sqrt{-c^{2} x^{2}+1}\, x^{2}}{4 \left(c^{2} x^{2}-1\right) g^{2}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, d \sqrt{-c^{2} x^{2}+1}\, x \,c^{3} f^{2}}{\left(c^{2} x^{2}-1\right) g^{3}}-\frac{a d \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, c^{2} f^{2}}{g^{3}}-\frac{4 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, d \arccos \left(c x \right)}{3 \left(c^{2} x^{2}-1\right) g}-\frac{i b \left(c^{2} f^{2}-g^{2}\right)^{\frac{3}{2}} d \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \ln \left(\frac{-\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g -c f +\sqrt{c^{2} f^{2}-g^{2}}}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \arccos \left(c x \right)}{\left(c^{2} x^{2}-1\right) g^{4}}+\frac{i b \left(c^{2} f^{2}-g^{2}\right)^{\frac{3}{2}} d \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \ln \left(\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g +c f +\sqrt{c^{2} f^{2}-g^{2}}}{c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \arccos \left(c x \right)}{\left(c^{2} x^{2}-1\right) g^{4}}+\frac{a d \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{g}+\frac{2 a \,d^{2} \ln \left(\frac{-\frac{2 d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}+2 \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{x +\frac{f}{g}}\right) c^{2} f^{2}}{g^{3} \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}+\frac{3 a \,c^{2} d^{2} f \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}\right)}{2 g^{2} \sqrt{c^{2} d}}-\frac{a \,d^{2} c^{4} f^{3} \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}\right)}{g^{4} \sqrt{c^{2} d}}-\frac{a \,d^{2} \ln \left(\frac{-\frac{2 d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}+2 \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{x +\frac{f}{g}}\right) c^{4} f^{4}}{g^{5} \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}+\frac{a \,c^{2} d f \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, x}{2 g^{2}}-\frac{a \,d^{2} \ln \left(\frac{-\frac{2 d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}+2 \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{x +\frac{f}{g}}\right)}{g \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f d c \sqrt{-c^{2} x^{2}+1}}{8 \left(c^{2} x^{2}-1\right) g^{2}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, d \sqrt{-c^{2} x^{2}+1}\, x^{3} c^{3}}{9 \left(c^{2} x^{2}-1\right) g}-\frac{4 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, d \sqrt{-c^{2} x^{2}+1}\, x c}{3 \left(c^{2} x^{2}-1\right) g}+\frac{b \left(c^{2} f^{2}-g^{2}\right)^{\frac{3}{2}} d \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \dilog \left(\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g}{c f +\sqrt{c^{2} f^{2}-g^{2}}}+\frac{c f}{c f +\sqrt{c^{2} f^{2}-g^{2}}}+\frac{\sqrt{c^{2} f^{2}-g^{2}}}{c f +\sqrt{c^{2} f^{2}-g^{2}}}\right)}{\left(c^{2} x^{2}-1\right) g^{4}}-\frac{b \left(c^{2} f^{2}-g^{2}\right)^{\frac{3}{2}} d \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \dilog \left(-\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}-\frac{c f}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}+\frac{\sqrt{c^{2} f^{2}-g^{2}}}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}\right)}{\left(c^{2} x^{2}-1\right) g^{4}}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, d \arccos \left(c x \right) x^{4} c^{4}}{3 \left(c^{2} x^{2}-1\right) g}+\frac{5 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, d \arccos \left(c x \right) x^{2} c^{2}}{3 \left(c^{2} x^{2}-1\right) g}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, d \,f^{2} \arccos \left(c x \right) c^{2}}{\left(c^{2} x^{2}-1\right) g^{3}}"," ",0,"1/3*a/g*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(3/2)-1/2*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c^2/(c^2*x^2-1)/g^2*arccos(c*x)*x-b*(-d*(c^2*x^2-1))^(1/2)*d/(c^2*x^2-1)/g^3*arccos(c*x)*x^2*c^4*f^2-1/2*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)*arccos(c*x)^2*f^3*d*c^3/g^4+3/4*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)*arccos(c*x)^2*f*d*c/g^2+1/2*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c^4/(c^2*x^2-1)/g^2*arccos(c*x)*x^3-1/4*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c^3/(c^2*x^2-1)/g^2*(-c^2*x^2+1)^(1/2)*x^2+b*(-d*(c^2*x^2-1))^(1/2)*d/(c^2*x^2-1)/g^3*(-c^2*x^2+1)^(1/2)*x*c^3*f^2-a/g^3*d*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)*c^2*f^2-4/3*b*(-d*(c^2*x^2-1))^(1/2)*d/(c^2*x^2-1)/g*arccos(c*x)-I*b*(c^2*f^2-g^2)^(3/2)*d*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^4*ln((-(c*x+I*(-c^2*x^2+1)^(1/2))*g-c*f+(c^2*f^2-g^2)^(1/2))/(-c*f+(c^2*f^2-g^2)^(1/2)))*arccos(c*x)+I*b*(c^2*f^2-g^2)^(3/2)*d*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^4*ln(((c*x+I*(-c^2*x^2+1)^(1/2))*g+c*f+(c^2*f^2-g^2)^(1/2))/(c*f+(c^2*f^2-g^2)^(1/2)))*arccos(c*x)+a/g*d*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)+2*a/g^3*d^2/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))*c^2*f^2+3/2*a/g^2*c^2*d^2*f/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))-a/g^4*d^2*c^4*f^3/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))-a/g^5*d^2/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))*c^4*f^4+1/2*a/g^2*c^2*d*f*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)*x-a/g*d^2/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))+b*(c^2*f^2-g^2)^(3/2)*d*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^4*dilog((c*x+I*(-c^2*x^2+1)^(1/2))*g/(c*f+(c^2*f^2-g^2)^(1/2))+1/(c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))+1/8*b*(-d*(c^2*x^2-1))^(1/2)*f*d*c/(c^2*x^2-1)/g^2*(-c^2*x^2+1)^(1/2)+1/9*b*(-d*(c^2*x^2-1))^(1/2)*d/(c^2*x^2-1)/g*(-c^2*x^2+1)^(1/2)*x^3*c^3-4/3*b*(-d*(c^2*x^2-1))^(1/2)*d/(c^2*x^2-1)/g*(-c^2*x^2+1)^(1/2)*x*c-1/3*b*(-d*(c^2*x^2-1))^(1/2)*d/(c^2*x^2-1)/g*arccos(c*x)*x^4*c^4+5/3*b*(-d*(c^2*x^2-1))^(1/2)*d/(c^2*x^2-1)/g*arccos(c*x)*x^2*c^2+b*(-d*(c^2*x^2-1))^(1/2)*d/(c^2*x^2-1)/g^3*f^2*arccos(c*x)*c^2-b*(c^2*f^2-g^2)^(3/2)*d*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^4*dilog(-1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c*x+I*(-c^2*x^2+1)^(1/2))*g-1/(-c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))","B"
10,1,4046,1133,2.028000," ","int((g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x)","\text{output too large to display}"," ",0,"15/256*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2-3/49*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^5/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^7*f^2+18/7*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^2/(c^2*x^2-1)*arccos(c*x)*x^4*f^2+15/256*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c^3/(c^2*x^2-1)*arccos(c*x)^2*f*d^2*g^2-3/32*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d^2/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x-9/64*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d^2*c/(c^2*x^2-1)*arccos(c*x)*x^2+5/24*a*f^3*d*x*(-c^2*d*x^2+d)^(3/2)+5/16*a*f^3*d^2*x*(-c^2*d*x^2+d)^(1/2)+3/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2/c^2/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x*g^2-9/1024*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2/c^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*g^2+3/32*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2*c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^4-9/256*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2/c^2/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x*g^2-9/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2/c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^2-9/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2/c/(c^2*x^2-1)*arccos(c*x)*x^2*g^2+9/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2/c^2/(c^2*x^2-1)*x-33/512*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+15/1024*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2/c^3/(c^2*x^2-1)*g^2+3/8*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2*c^6/(c^2*x^2-1)*arccos(c*x)*x^9-23/16*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2*c^4/(c^2*x^2-1)*arccos(c*x)*x^7+121/64*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2*c^2/(c^2*x^2-1)*arccos(c*x)*x^5+15/128*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2/c^2/(c^2*x^2-1)*arccos(c*x)*x+3/7*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^6/(c^2*x^2-1)*arccos(c*x)*x^8*f^2-3/256*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2/c/(c^2*x^2-1)*arccos(c*x)*x^2*g^2-3/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^2+9/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2/c^3/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)-15/1024*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2/c/(c^2*x^2-1)*x^2*g^2-3/32*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d^2*c/(c^2*x^2-1)*arccos(c*x)*x^2+9/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2/c^3/(c^2*x^2-1)*arccos(c*x)*g^2+9/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d^2/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x-3/16*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^3/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)*x^4-15/1024*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2/c^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*g^2-2/63*a*g^3/d/c^4*(-c^2*d*x^2+d)^(7/2)+1/16*a*f*g^2/c^2*x*(-c^2*d*x^2+d)^(5/2)-3/7*a*f^2*g/c^2/d*(-c^2*d*x^2+d)^(7/2)-1/9*a*g^3*x^2*(-c^2*d*x^2+d)^(7/2)/c^2/d-27/512*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d^2*c/(c^2*x^2-1)*x^2+3/32*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2/c/(c^2*x^2-1)*arccos(c*x)*(-c^2*x^2+1)^(1/2)+1/6*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^6/(c^2*x^2-1)*arccos(c*x)*x^7-25/48*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^4/(c^2*x^2-1)*arccos(c*x)*x^5+137/192*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^2/(c^2*x^2-1)*arccos(c*x)*x^3-121/128*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2/(c^2*x^2-1)*arccos(c*x)*x^3-12/7*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2/(c^2*x^2-1)*arccos(c*x)*x^2*f^2+27/512*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d^2/c/(c^2*x^2-1)-3/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^4/(c^2*x^2-1)*x^5-3/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^2/(c^2*x^2-1)*x^3-15/256*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2/(c^2*x^2-1)*x^3+9/1024*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2/c/(c^2*x^2-1)*x^2*g^2+9/35*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^5*f^2-3/7*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^3*f^2+3/256*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2/c^3/(c^2*x^2-1)*arccos(c*x)*g^2+3/32*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d^2/c/(c^2*x^2-1)*arccos(c*x)+3/128*I*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2*c^2/(c^2*x^2-1)*x^5-12/7*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^4/(c^2*x^2-1)*arccos(c*x)*x^6*f^2-3/64*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2*c^5/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^8+17/96*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^6-53/256*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^4+1/6*a*f^3*x*(-c^2*d*x^2+d)^(5/2)+2/63*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2/c^4/(c^2*x^2-1)*arccos(c*x)-16/63*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2/(c^2*x^2-1)*arccos(c*x)*x^4-23/64*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2/(c^2*x^2-1)*arccos(c*x)*x-33/512*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d^2/c/(c^2*x^2-1)+301/4608*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)+3/32*I*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2/(c^2*x^2-1)*x+15/128*a*f*g^2/c^2*d^3/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))-3/8*a*f*g^2*x*(-c^2*d*x^2+d)^(7/2)/c^2/d+5/64*a*f*g^2/c^2*d*x*(-c^2*d*x^2+d)^(3/2)+15/128*a*f*g^2/c^2*d^2*x*(-c^2*d*x^2+d)^(1/2)+3/7*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*f^2+33/512*b*(-d*(c^2*x^2-1))^(1/2)*f^3*sin(3*arccos(c*x))*d^2*c/(c^2*x^2-1)*x^2-9/1024*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2/c^3/(c^2*x^2-1)*g^2-27/512*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+1/189*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^3+2/63*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2/c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+143/24576*b*(-d*(c^2*x^2-1))^(1/2)*f*g^2*d^2/c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)-1/81*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2*c^5/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^9+19/441*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^7-1/21*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^5-1/36*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^5/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^6+17/192*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^4-23/128*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2+5/32*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/(c^2*x^2-1)*arccos(c*x)^2*f^3*d^2+1/9*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2*c^6/(c^2*x^2-1)*arccos(c*x)*x^10-26/63*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2*c^4/(c^2*x^2-1)*arccos(c*x)*x^8+34/63*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2*c^2/(c^2*x^2-1)*arccos(c*x)*x^6-1/63*b*(-d*(c^2*x^2-1))^(1/2)*g^3*d^2/c^2/(c^2*x^2-1)*arccos(c*x)*x^2+3/7*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2/c^2/(c^2*x^2-1)*f^2*arccos(c*x)+9/64*b*(-d*(c^2*x^2-1))^(1/2)*f^3*cos(3*arccos(c*x))*d^2/c/(c^2*x^2-1)*arccos(c*x)+5/16*a*f^3*d^3/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))","C"
11,1,5035,830,1.429000," ","int((g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x)","\text{output too large to display}"," ",0,"result too large to display","C"
12,1,4030,453,1.099000," ","int((g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x)","\text{output too large to display}"," ",0,"5/16*a*f*d^2*x*(-c^2*d*x^2+d)^(1/2)+25/4608*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(5*arccos(c*x))*d^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-27/512*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+33/512*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2*c/(c^2*x^2-1)*x^2+1/12*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^6/(c^2*x^2-1)*arccos(c*x)*x^7-1/6*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^4/(c^2*x^2-1)*arccos(c*x)*x^5+1/3*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^2/(c^2*x^2-1)*arccos(c*x)*x^3+1/14*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^6/(c^2*x^2-1)*arccos(c*x)*x^8-9/56*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^4/(c^2*x^2-1)*arccos(c*x)*x^6-11/7840*I*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(6*arccos(c*x))*d^2/c^2/(c^2*x^2-1)-25/4608*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(5*arccos(c*x))*d^2/c/(c^2*x^2-1)+1/160*I*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d^2/c^2/(c^2*x^2-1)+27/512*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2/c/(c^2*x^2-1)-1/160*I*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d^2/(c^2*x^2-1)*x^2+11/7840*I*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(6*arccos(c*x))*d^2/(c^2*x^2-1)*x^2-5/192*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(5*arccos(c*x))*d^2/c/(c^2*x^2-1)*arccos(c*x)+1/32*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d^2/c^2/(c^2*x^2-1)*arccos(c*x)+9/64*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2/c/(c^2*x^2-1)*arccos(c*x)+1/112*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(6*arccos(c*x))*d^2/(c^2*x^2-1)*arccos(c*x)*x^2-1/32*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d^2/(c^2*x^2-1)*arccos(c*x)*x^2-1/36*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^4/(c^2*x^2-1)*x^5-29/288*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^2/(c^2*x^2-1)*x^3+1/98*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^6/(c^2*x^2-1)*x^8-9/392*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^4/(c^2*x^2-1)*x^6-23/1568*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^2/(c^2*x^2-1)*x^4+1/72*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^6/(c^2*x^2-1)*x^7-1/98*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^5/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^7+1/56*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^5-9/224*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^3+23/224*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-1/72*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^5/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^6+1/48*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^4-1/8*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x^2-1/112*I*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(6*arccos(c*x))*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x+1/32*I*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x+47/224*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^2/(c^2*x^2-1)*arccos(c*x)*x^4+5/32*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/(c^2*x^2-1)*arccos(c*x)^2*f*d^2-1/112*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(6*arccos(c*x))*d^2/c^2/(c^2*x^2-1)*arccos(c*x)-29/4608*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(5*arccos(c*x))*d^2*c/(c^2*x^2-1)*x^2+1/6*a*f*x*(-c^2*d*x^2+d)^(5/2)+1/48*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(5*arccos(c*x))*d^2*c/(c^2*x^2-1)*arccos(c*x)*x^2-3/320*I*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+1/14*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^5/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^7-1/8*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^5-5/192*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(5*arccos(c*x))*d^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x-3/32*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2*c/(c^2*x^2-1)*arccos(c*x)*x^2-1/32*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^3+1/16*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x+1/12*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^5/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^6-1/8*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^3/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^4-3/16*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x^2+27/15680*I*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(6*arccos(c*x))*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+3/448*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(6*arccos(c*x))*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x+9/64*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x-1/64*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x+1/48*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(5*arccos(c*x))*d^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x-27/15680*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(6*arccos(c*x))*d^2/(c^2*x^2-1)*x^2+23/224*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2/c^2/(c^2*x^2-1)*arccos(c*x)-25/112*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2/(c^2*x^2-1)*arccos(c*x)*x^2-1/4*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2/(c^2*x^2-1)*arccos(c*x)*x+27/15680*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(6*arccos(c*x))*d^2/c^2/(c^2*x^2-1)+29/4608*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(5*arccos(c*x))*d^2/c/(c^2*x^2-1)-3/320*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d^2/c^2/(c^2*x^2-1)-33/512*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2/c/(c^2*x^2-1)+3/320*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d^2/(c^2*x^2-1)*x^2-3/32*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)*x-9/64*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2*c/(c^2*x^2-1)*arccos(c*x)*x^2+5/192*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(5*arccos(c*x))*d^2*c/(c^2*x^2-1)*arccos(c*x)*x^2-1/160*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(4*arccos(c*x))*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+11/7840*b*(-d*(c^2*x^2-1))^(1/2)*g*cos(6*arccos(c*x))*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-1/48*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(5*arccos(c*x))*d^2/c/(c^2*x^2-1)*arccos(c*x)+11/96*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*arccos(c*x)+29/4608*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(5*arccos(c*x))*d^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+25/4608*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(5*arccos(c*x))*d^2*c/(c^2*x^2-1)*x^2-1/64*I*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d^2/(c^2*x^2-1)*arccos(c*x)*x^2-33/512*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+3/448*I*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(6*arccos(c*x))*d^2/(c^2*x^2-1)*arccos(c*x)*x^2+1/64*I*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(4*arccos(c*x))*d^2/c^2/(c^2*x^2-1)*arccos(c*x)-27/512*I*b*(-d*(c^2*x^2-1))^(1/2)*f*cos(3*arccos(c*x))*d^2*c/(c^2*x^2-1)*x^2+3/32*I*b*(-d*(c^2*x^2-1))^(1/2)*f*sin(3*arccos(c*x))*d^2/c/(c^2*x^2-1)*arccos(c*x)-3/448*I*b*(-d*(c^2*x^2-1))^(1/2)*g*sin(6*arccos(c*x))*d^2/c^2/(c^2*x^2-1)*arccos(c*x)+5/16*a*f*d^3/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))+17/288*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2/c/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)-3/392*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2/c^2/(c^2*x^2-1)+55/1568*I*b*(-d*(c^2*x^2-1))^(1/2)*g*d^2/(c^2*x^2-1)*x^2+11/96*I*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2/(c^2*x^2-1)*x+5/24*a*f*d*x*(-c^2*d*x^2+d)^(3/2)-1/7*a*g/c^2/d*(-c^2*d*x^2+d)^(7/2)","C"
13,1,4692,1519,1.566000," ","int((-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/(g*x+f),x)","\text{output too large to display}"," ",0,"-14/15*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g*arccos(c*x)*x^4*c^4+34/15*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g*arccos(c*x)*x^2*c^2+7/3*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g^3*f^2*arccos(c*x)*c^2-b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g^5*f^4*arccos(c*x)*c^4+b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^2*dilog(-1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c*x+I*(-c^2*x^2+1)^(1/2))*g-1/(-c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))-b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^2*dilog((c*x+I*(-c^2*x^2+1)^(1/2))*g/(c*f+(c^2*f^2-g^2)^(1/2))+1/(c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))+1/5*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g*arccos(c*x)*x^6*c^6+1/4*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^5/(c^2*x^2-1)/g^4*(-c^2*x^2+1)^(1/2)*x^2-23/15*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g*arccos(c*x)-1/3*a/g^3*d*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(3/2)*c^2*f^2+a/g^5*d^2*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)*c^4*f^4-2*a/g^3*d^2*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)*c^2*f^2-1/2*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^6/(c^2*x^2-1)/g^4*arccos(c*x)*x^3-1/4*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^6/(c^2*x^2-1)/g^2*arccos(c*x)*x^5+11/8*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^4/(c^2*x^2-1)/g^2*arccos(c*x)*x^3-9/8*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^2/(c^2*x^2-1)/g^2*arccos(c*x)*x+1/3*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g^3*arccos(c*x)*x^4*c^6*f^2-8/3*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g^3*arccos(c*x)*x^2*c^4*f^2+1/2*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)*arccos(c*x)^2*f^5*d^2*c^5/g^6-5/4*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)*arccos(c*x)^2*f^3*d^2*c^3/g^4+15/16*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)*arccos(c*x)^2*f*d^2*c/g^2+3*a/g^3*d^3/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))*c^2*f^2+1/4*a/g^2*c^2*d*f*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(3/2)*x+7/8*a/g^2*c^2*d^2*f*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)*x+15/8*a/g^2*c^2*d^3*f/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))-1/2*a/g^4*d^2*c^4*f^3*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)*x+1/5*a/g*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(5/2)+b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g^5*arccos(c*x)*x^2*c^6*f^4+1/2*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^4/(c^2*x^2-1)/g^4*arccos(c*x)*x-b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g^5*(-c^2*x^2+1)^(1/2)*x*c^5*f^4+1/16*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^5/(c^2*x^2-1)/g^2*(-c^2*x^2+1)^(1/2)*x^4-9/16*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c^3/(c^2*x^2-1)/g^2*(-c^2*x^2+1)^(1/2)*x^2-1/9*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g^3*(-c^2*x^2+1)^(1/2)*x^3*c^5*f^2+7/3*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g^3*(-c^2*x^2+1)^(1/2)*x*c^3*f^2+2*b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^4*dilog((c*x+I*(-c^2*x^2+1)^(1/2))*g/(c*f+(c^2*f^2-g^2)^(1/2))+1/(c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))*c^2*f^2-I*b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^2*arccos(c*x)*ln(((c*x+I*(-c^2*x^2+1)^(1/2))*g+c*f+(c^2*f^2-g^2)^(1/2))/(c*f+(c^2*f^2-g^2)^(1/2)))+b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^6*dilog(-1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c*x+I*(-c^2*x^2+1)^(1/2))*g-1/(-c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))*c^4*f^4-b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^6*dilog((c*x+I*(-c^2*x^2+1)^(1/2))*g/(c*f+(c^2*f^2-g^2)^(1/2))+1/(c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))*c^4*f^4+I*b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^2*arccos(c*x)*ln((-(c*x+I*(-c^2*x^2+1)^(1/2))*g-c*f+(c^2*f^2-g^2)^(1/2))/(-c*f+(c^2*f^2-g^2)^(1/2)))-2*b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^4*dilog(-1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c*x+I*(-c^2*x^2+1)^(1/2))*g-1/(-c*f+(c^2*f^2-g^2)^(1/2))*c*f+1/(-c*f+(c^2*f^2-g^2)^(1/2))*(c^2*f^2-g^2)^(1/2))*c^2*f^2+1/3*a/g*d*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(3/2)+a/g*d^2*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)-5/2*a/g^4*d^3*c^4*f^3/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))+a/g^6*d^3*c^6*f^5/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))+a/g^7*d^3/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))*c^6*f^6-3*a/g^5*d^3/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))*c^4*f^4+I*b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^6*arccos(c*x)*ln((-(c*x+I*(-c^2*x^2+1)^(1/2))*g-c*f+(c^2*f^2-g^2)^(1/2))/(-c*f+(c^2*f^2-g^2)^(1/2)))*c^4*f^4-I*b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^6*arccos(c*x)*ln(((c*x+I*(-c^2*x^2+1)^(1/2))*g+c*f+(c^2*f^2-g^2)^(1/2))/(c*f+(c^2*f^2-g^2)^(1/2)))*c^4*f^4-2*I*b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^4*arccos(c*x)*ln((-(c*x+I*(-c^2*x^2+1)^(1/2))*g-c*f+(c^2*f^2-g^2)^(1/2))/(-c*f+(c^2*f^2-g^2)^(1/2)))*c^2*f^2+2*I*b*d^2*(-d*(c^2*x^2-1))^(1/2)*(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)/(c^2*x^2-1)/g^4*arccos(c*x)*ln(((c*x+I*(-c^2*x^2+1)^(1/2))*g+c*f+(c^2*f^2-g^2)^(1/2))/(c*f+(c^2*f^2-g^2)^(1/2)))*c^2*f^2-a/g*d^3/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))+11/45*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g*(-c^2*x^2+1)^(1/2)*x^3*c^3-23/15*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g*(-c^2*x^2+1)^(1/2)*x*c-1/8*b*(-d*(c^2*x^2-1))^(1/2)*f^3*d^2*c^3/(c^2*x^2-1)/g^4*(-c^2*x^2+1)^(1/2)+33/128*b*(-d*(c^2*x^2-1))^(1/2)*f*d^2*c/(c^2*x^2-1)/g^2*(-c^2*x^2+1)^(1/2)-1/25*b*(-d*(c^2*x^2-1))^(1/2)*d^2/(c^2*x^2-1)/g*(-c^2*x^2+1)^(1/2)*x^5*c^5","B"
14,1,843,402,1.737000," ","int((g*x+f)^3*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^(1/2),x)","-\frac{a \,g^{3} x^{2} \sqrt{-c^{2} d \,x^{2}+d}}{3 c^{2} d}-\frac{2 a \,g^{3} \sqrt{-c^{2} d \,x^{2}+d}}{3 d \,c^{4}}-\frac{3 a f \,g^{2} x \sqrt{-c^{2} d \,x^{2}+d}}{2 c^{2} d}+\frac{3 a f \,g^{2} \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{2 c^{2} \sqrt{c^{2} d}}-\frac{3 a \,f^{2} g \sqrt{-c^{2} d \,x^{2}+d}}{c^{2} d}+\frac{a \,f^{3} \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{\sqrt{c^{2} d}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} \sin \left(4 \arccos \left(c x \right)\right)}{72 c^{4} d \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) g^{3} \cos \left(4 \arccos \left(c x \right)\right)}{24 c^{4} d \left(c^{2} x^{2}-1\right)}+\frac{17 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} \arccos \left(c x \right)}{24 c^{4} d \left(c^{2} x^{2}-1\right)}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \,f^{2} \arccos \left(c x \right)}{c^{2} d \left(c^{2} x^{2}-1\right)}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \,g^{2} \sin \left(3 \arccos \left(c x \right)\right)}{16 c^{3} d \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f^{3}}{2 c d \left(c^{2} x^{2}-1\right)}-\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} \arccos \left(c x \right) x^{2}}{3 c^{2} d \left(c^{2} x^{2}-1\right)}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \sqrt{-c^{2} x^{2}+1}\, x \,f^{2}}{c d \left(c^{2} x^{2}-1\right)}-\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, f \,g^{2}}{16 c^{3} d \left(c^{2} x^{2}-1\right)}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f \,g^{2}}{4 c^{3} d \left(c^{2} x^{2}-1\right)}+\frac{13 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{3} \sqrt{-c^{2} x^{2}+1}\, x}{18 c^{3} d \left(c^{2} x^{2}-1\right)}-\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \arccos \left(c x \right) x^{2} f^{2}}{d \left(c^{2} x^{2}-1\right)}-\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \,g^{2} \arccos \left(c x \right) \cos \left(3 \arccos \left(c x \right)\right)}{8 c^{3} d \left(c^{2} x^{2}-1\right)}+\frac{3 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f \,g^{2} \arccos \left(c x \right) x}{8 c^{2} d \left(c^{2} x^{2}-1\right)}"," ",0,"-1/3*a*g^3*x^2/c^2/d*(-c^2*d*x^2+d)^(1/2)-2/3*a*g^3/d/c^4*(-c^2*d*x^2+d)^(1/2)-3/2*a*f*g^2*x/c^2/d*(-c^2*d*x^2+d)^(1/2)+3/2*a*f*g^2/c^2/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))-3*a*f^2*g/c^2/d*(-c^2*d*x^2+d)^(1/2)+a*f^3/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))+1/72*b*(-d*(c^2*x^2-1))^(1/2)/c^4/d/(c^2*x^2-1)*g^3*sin(4*arccos(c*x))-1/24*b*(-d*(c^2*x^2-1))^(1/2)/c^4/d/(c^2*x^2-1)*arccos(c*x)*g^3*cos(4*arccos(c*x))+17/24*b*(-d*(c^2*x^2-1))^(1/2)*g^3/c^4/d/(c^2*x^2-1)*arccos(c*x)+3*b*(-d*(c^2*x^2-1))^(1/2)*g/c^2/d/(c^2*x^2-1)*f^2*arccos(c*x)+3/16*b*(-d*(c^2*x^2-1))^(1/2)/c^3/d/(c^2*x^2-1)*f*g^2*sin(3*arccos(c*x))+1/2*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/d/(c^2*x^2-1)*arccos(c*x)^2*f^3-2/3*b*(-d*(c^2*x^2-1))^(1/2)*g^3/c^2/d/(c^2*x^2-1)*arccos(c*x)*x^2+3*b*(-d*(c^2*x^2-1))^(1/2)*g/c/d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x*f^2-3/16*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c^3/d/(c^2*x^2-1)*f*g^2+3/4*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c^3/d/(c^2*x^2-1)*arccos(c*x)^2*f*g^2+13/18*b*(-d*(c^2*x^2-1))^(1/2)*g^3/c^3/d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-3*b*(-d*(c^2*x^2-1))^(1/2)*g/d/(c^2*x^2-1)*arccos(c*x)*x^2*f^2-3/8*b*(-d*(c^2*x^2-1))^(1/2)/c^3/d/(c^2*x^2-1)*f*g^2*arccos(c*x)*cos(3*arccos(c*x))+3/8*b*(-d*(c^2*x^2-1))^(1/2)/c^2/d/(c^2*x^2-1)*f*g^2*arccos(c*x)*x","B"
15,1,548,242,1.319000," ","int((g*x+f)^2*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^(1/2),x)","-\frac{a \,g^{2} x \sqrt{-c^{2} d \,x^{2}+d}}{2 c^{2} d}+\frac{a \,g^{2} \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{2 c^{2} \sqrt{c^{2} d}}-\frac{2 a f g \sqrt{-c^{2} d \,x^{2}+d}}{c^{2} d}+\frac{a \,f^{2} \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{\sqrt{c^{2} d}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f^{2}}{2 c d \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} g^{2}}{4 c^{3} d \left(c^{2} x^{2}-1\right)}+\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f g \sqrt{-c^{2} x^{2}+1}\, x}{c d \left(c^{2} x^{2}-1\right)}-\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f g \arccos \left(c x \right) x^{2}}{d \left(c^{2} x^{2}-1\right)}+\frac{2 b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, f g \arccos \left(c x \right)}{c^{2} d \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) g^{2} x}{8 c^{2} d \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, g^{2}}{16 c^{3} d \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) g^{2} \cos \left(3 \arccos \left(c x \right)\right)}{8 c^{3} d \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g^{2} \sin \left(3 \arccos \left(c x \right)\right)}{16 c^{3} d \left(c^{2} x^{2}-1\right)}"," ",0,"-1/2*a*g^2*x/c^2/d*(-c^2*d*x^2+d)^(1/2)+1/2*a*g^2/c^2/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))-2*a*f*g/c^2/d*(-c^2*d*x^2+d)^(1/2)+a*f^2/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))+1/2*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/d/(c^2*x^2-1)*arccos(c*x)^2*f^2+1/4*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c^3/d/(c^2*x^2-1)*arccos(c*x)^2*g^2+2*b*(-d*(c^2*x^2-1))^(1/2)*f*g/c/d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x-2*b*(-d*(c^2*x^2-1))^(1/2)*f*g/d/(c^2*x^2-1)*arccos(c*x)*x^2+2*b*(-d*(c^2*x^2-1))^(1/2)*f*g/c^2/d/(c^2*x^2-1)*arccos(c*x)+1/8*b*(-d*(c^2*x^2-1))^(1/2)/c^2/d/(c^2*x^2-1)*arccos(c*x)*g^2*x-1/16*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c^3/d/(c^2*x^2-1)*g^2-1/8*b*(-d*(c^2*x^2-1))^(1/2)/c^3/d/(c^2*x^2-1)*arccos(c*x)*g^2*cos(3*arccos(c*x))+1/16*b*(-d*(c^2*x^2-1))^(1/2)/c^3/d/(c^2*x^2-1)*g^2*sin(3*arccos(c*x))","B"
16,1,235,115,1.005000," ","int((g*x+f)*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^(1/2),x)","-\frac{a g \sqrt{-c^{2} d \,x^{2}+d}}{c^{2} d}+\frac{a f \arctan \left(\frac{\sqrt{c^{2} d}\, x}{\sqrt{-c^{2} d \,x^{2}+d}}\right)}{\sqrt{c^{2} d}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \arccos \left(c x \right)^{2} f}{2 c d \left(c^{2} x^{2}-1\right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \arccos \left(c x \right) x^{2}}{d \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \sqrt{-c^{2} x^{2}+1}\, x}{c d \left(c^{2} x^{2}-1\right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, g \arccos \left(c x \right)}{c^{2} d \left(c^{2} x^{2}-1\right)}"," ",0,"-a*g/c^2/d*(-c^2*d*x^2+d)^(1/2)+a*f/(c^2*d)^(1/2)*arctan((c^2*d)^(1/2)*x/(-c^2*d*x^2+d)^(1/2))+1/2*b*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/c/d/(c^2*x^2-1)*arccos(c*x)^2*f-b*(-d*(c^2*x^2-1))^(1/2)*g/d/(c^2*x^2-1)*arccos(c*x)*x^2+b*(-d*(c^2*x^2-1))^(1/2)*g/c/d/(c^2*x^2-1)*(-c^2*x^2+1)^(1/2)*x+b*(-d*(c^2*x^2-1))^(1/2)*g/c^2/d/(c^2*x^2-1)*arccos(c*x)","B"
17,1,487,372,0.651000," ","int((a+b*arccos(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(1/2),x)","-\frac{a \ln \left(\frac{-\frac{2 d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}+2 \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{x +\frac{f}{g}}\right)}{g \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \left(i \ln \left(\frac{-\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g -c f +\sqrt{c^{2} f^{2}-g^{2}}}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \arccos \left(c x \right)-i \ln \left(\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g +c f +\sqrt{c^{2} f^{2}-g^{2}}}{c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \arccos \left(c x \right)+\dilog \left(\frac{-\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g -c f +\sqrt{c^{2} f^{2}-g^{2}}}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}\right)-\dilog \left(\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g +c f +\sqrt{c^{2} f^{2}-g^{2}}}{c f +\sqrt{c^{2} f^{2}-g^{2}}}\right)\right)}{\sqrt{c^{2} f^{2}-g^{2}}\, d \left(c^{2} x^{2}-1\right)}"," ",0,"-a/g/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))-b*(-d*(c^2*x^2-1))^(1/2)/(c^2*f^2-g^2)^(1/2)*(-c^2*x^2+1)^(1/2)*(I*ln((-(c*x+I*(-c^2*x^2+1)^(1/2))*g-c*f+(c^2*f^2-g^2)^(1/2))/(-c*f+(c^2*f^2-g^2)^(1/2)))*arccos(c*x)-I*ln(((c*x+I*(-c^2*x^2+1)^(1/2))*g+c*f+(c^2*f^2-g^2)^(1/2))/(c*f+(c^2*f^2-g^2)^(1/2)))*arccos(c*x)+dilog((-(c*x+I*(-c^2*x^2+1)^(1/2))*g-c*f+(c^2*f^2-g^2)^(1/2))/(-c*f+(c^2*f^2-g^2)^(1/2)))-dilog(((c*x+I*(-c^2*x^2+1)^(1/2))*g+c*f+(c^2*f^2-g^2)^(1/2))/(c*f+(c^2*f^2-g^2)^(1/2))))/d/(c^2*x^2-1)","A"
18,1,1622,492,1.070000," ","int((a+b*arccos(c*x))/(g*x+f)^2/(-c^2*d*x^2+d)^(1/2),x)","\frac{a \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{d \left(c^{2} f^{2}-g^{2}\right) \left(x +\frac{f}{g}\right)}-\frac{a \,c^{2} f \ln \left(\frac{-\frac{2 d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}+2 \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}\, \sqrt{-c^{2} d \left(x +\frac{f}{g}\right)^{2}+\frac{2 c^{2} d f \left(x +\frac{f}{g}\right)}{g}-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}{x +\frac{f}{g}}\right)}{g \left(c^{2} f^{2}-g^{2}\right) \sqrt{-\frac{d \left(c^{2} f^{2}-g^{2}\right)}{g^{2}}}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) \left(-c^{2} x^{2}+1\right) x \,c^{2} f}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right) \left(g x +f \right)}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) x^{3} c^{4} f}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right) \left(g x +f \right)}-\frac{i b \,c^{2} \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \ln \left(\frac{-\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g -c f +\sqrt{c^{2} f^{2}-g^{2}}}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \arccos \left(c x \right) f}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right)^{\frac{3}{2}}}+\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) x^{2} c^{2} g}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right) \left(g x +f \right)}-\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\, x c g}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right) \left(g x +f \right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) x \,c^{2} f}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right) \left(g x +f \right)}-\frac{b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) g}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right) \left(g x +f \right)}-\frac{i b \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \arccos \left(c x \right) \sqrt{-c^{2} x^{2}+1}\, c f}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right) \left(g x +f \right)}+\frac{i b \,c^{2} \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \ln \left(\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g +c f +\sqrt{c^{2} f^{2}-g^{2}}}{c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) \arccos \left(c x \right) f}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right)^{\frac{3}{2}}}-\frac{b \,c^{3} \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \ln \left(\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2} g +2 c f \left(c x +i \sqrt{-c^{2} x^{2}+1}\right)+g \right) f^{2}}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right)^{2}}+\frac{2 b \,c^{3} \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \ln \left(c x +i \sqrt{-c^{2} x^{2}+1}\right) f^{2}}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right)^{2}}-\frac{b \,c^{2} \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \dilog \left(\frac{-\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g -c f +\sqrt{c^{2} f^{2}-g^{2}}}{-c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) f}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right)^{\frac{3}{2}}}+\frac{b \,c^{2} \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \dilog \left(\frac{\left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g +c f +\sqrt{c^{2} f^{2}-g^{2}}}{c f +\sqrt{c^{2} f^{2}-g^{2}}}\right) f}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right)^{\frac{3}{2}}}+\frac{b c \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \ln \left(\left(c x +i \sqrt{-c^{2} x^{2}+1}\right)^{2} g +2 c f \left(c x +i \sqrt{-c^{2} x^{2}+1}\right)+g \right) g^{2}}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right)^{2}}-\frac{2 b c \sqrt{-d \left(c^{2} x^{2}-1\right)}\, \sqrt{-c^{2} x^{2}+1}\, \ln \left(c x +i \sqrt{-c^{2} x^{2}+1}\right) g^{2}}{d \left(c^{2} x^{2}-1\right) \left(c^{2} f^{2}-g^{2}\right)^{2}}"," ",0,"a/d/(c^2*f^2-g^2)/(x+f/g)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2)-a/g*c^2*f/(c^2*f^2-g^2)/(-d*(c^2*f^2-g^2)/g^2)^(1/2)*ln((-2*d*(c^2*f^2-g^2)/g^2+2*c^2*d*f/g*(x+f/g)+2*(-d*(c^2*f^2-g^2)/g^2)^(1/2)*(-c^2*d*(x+f/g)^2+2*c^2*d*f/g*(x+f/g)-d*(c^2*f^2-g^2)/g^2)^(1/2))/(x+f/g))+b*(-d*(c^2*x^2-1))^(1/2)*arccos(c*x)/d/(c^2*x^2-1)/(c^2*f^2-g^2)/(g*x+f)*(-c^2*x^2+1)*x*c^2*f+b*(-d*(c^2*x^2-1))^(1/2)*arccos(c*x)/d/(c^2*x^2-1)/(c^2*f^2-g^2)/(g*x+f)*x^3*c^4*f-I*b*c^2*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/d/(c^2*x^2-1)/(c^2*f^2-g^2)^(3/2)*ln((-(c*x+I*(-c^2*x^2+1)^(1/2))*g-c*f+(c^2*f^2-g^2)^(1/2))/(-c*f+(c^2*f^2-g^2)^(1/2)))*arccos(c*x)*f+b*(-d*(c^2*x^2-1))^(1/2)*arccos(c*x)/d/(c^2*x^2-1)/(c^2*f^2-g^2)/(g*x+f)*x^2*c^2*g-I*b*(-d*(c^2*x^2-1))^(1/2)*arccos(c*x)/d/(c^2*x^2-1)/(c^2*f^2-g^2)/(g*x+f)*(-c^2*x^2+1)^(1/2)*x*c*g-b*(-d*(c^2*x^2-1))^(1/2)*arccos(c*x)/d/(c^2*x^2-1)/(c^2*f^2-g^2)/(g*x+f)*x*c^2*f-b*(-d*(c^2*x^2-1))^(1/2)*arccos(c*x)/d/(c^2*x^2-1)/(c^2*f^2-g^2)/(g*x+f)*g-I*b*(-d*(c^2*x^2-1))^(1/2)*arccos(c*x)/d/(c^2*x^2-1)/(c^2*f^2-g^2)/(g*x+f)*(-c^2*x^2+1)^(1/2)*c*f+I*b*c^2*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/d/(c^2*x^2-1)/(c^2*f^2-g^2)^(3/2)*ln(((c*x+I*(-c^2*x^2+1)^(1/2))*g+c*f+(c^2*f^2-g^2)^(1/2))/(c*f+(c^2*f^2-g^2)^(1/2)))*arccos(c*x)*f-b*c^3*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/d/(c^2*x^2-1)/(c^2*f^2-g^2)^2*ln((c*x+I*(-c^2*x^2+1)^(1/2))^2*g+2*c*f*(c*x+I*(-c^2*x^2+1)^(1/2))+g)*f^2+2*b*c^3*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/d/(c^2*x^2-1)/(c^2*f^2-g^2)^2*ln(c*x+I*(-c^2*x^2+1)^(1/2))*f^2-b*c^2*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/d/(c^2*x^2-1)/(c^2*f^2-g^2)^(3/2)*dilog((-(c*x+I*(-c^2*x^2+1)^(1/2))*g-c*f+(c^2*f^2-g^2)^(1/2))/(-c*f+(c^2*f^2-g^2)^(1/2)))*f+b*c^2*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/d/(c^2*x^2-1)/(c^2*f^2-g^2)^(3/2)*dilog(((c*x+I*(-c^2*x^2+1)^(1/2))*g+c*f+(c^2*f^2-g^2)^(1/2))/(c*f+(c^2*f^2-g^2)^(1/2)))*f+b*c*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/d/(c^2*x^2-1)/(c^2*f^2-g^2)^2*ln((c*x+I*(-c^2*x^2+1)^(1/2))^2*g+2*c*f*(c*x+I*(-c^2*x^2+1)^(1/2))+g)*g^2-2*b*c*(-d*(c^2*x^2-1))^(1/2)*(-c^2*x^2+1)^(1/2)/d/(c^2*x^2-1)/(c^2*f^2-g^2)^2*ln(c*x+I*(-c^2*x^2+1)^(1/2))*g^2","B"
19,0,0,35,12.110000," ","int((a+b*arccos(c*x))^n*ln(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{n} \ln \left(h \left(g x +f \right)^{m}\right)}{\sqrt{-c^{2} x^{2}+1}}\, dx"," ",0,"int((a+b*arccos(c*x))^n*ln(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x)","F"
20,0,0,539,9.971000," ","int((a+b*arccos(c*x))^2*ln(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x)","\int \frac{\left(a +b \arccos \left(c x \right)\right)^{2} \ln \left(h \left(g x +f \right)^{m}\right)}{\sqrt{-c^{2} x^{2}+1}}\, dx"," ",0,"int((a+b*arccos(c*x))^2*ln(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x)","F"
21,0,0,405,8.306000," ","int((a+b*arccos(c*x))*ln(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x)","\int \frac{\left(a +b \arccos \left(c x \right)\right) \ln \left(h \left(g x +f \right)^{m}\right)}{\sqrt{-c^{2} x^{2}+1}}\, dx"," ",0,"int((a+b*arccos(c*x))*ln(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x)","F"
22,0,0,252,0.020000," ","int(ln(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x)","\int \frac{\ln \left(h \left(g x +f \right)^{m}\right)}{\sqrt{-c^{2} x^{2}+1}}\, dx"," ",0,"int(ln(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x)","F"
23,0,0,35,7.587000," ","int(ln(h*(g*x+f)^m)/(a+b*arccos(c*x))/(-c^2*x^2+1)^(1/2),x)","\int \frac{\ln \left(h \left(g x +f \right)^{m}\right)}{\left(a +b \arccos \left(c x \right)\right) \sqrt{-c^{2} x^{2}+1}}\, dx"," ",0,"int(ln(h*(g*x+f)^m)/(a+b*arccos(c*x))/(-c^2*x^2+1)^(1/2),x)","F"
24,1,235,121,0.023000," ","int(x^3*arccos(b*x+a),x)","\frac{\frac{\arccos \left(b x +a \right) \left(b x +a \right)^{4}}{4}-\arccos \left(b x +a \right) \left(b x +a \right)^{3} a +\frac{3 \arccos \left(b x +a \right) \left(b x +a \right)^{2} a^{2}}{2}-\arccos \left(b x +a \right) \left(b x +a \right) a^{3}+\frac{\arccos \left(b x +a \right) a^{4}}{4}-\frac{\left(b x +a \right)^{3} \sqrt{1-\left(b x +a \right)^{2}}}{16}-\frac{3 \left(b x +a \right) \sqrt{1-\left(b x +a \right)^{2}}}{32}+\frac{3 \arcsin \left(b x +a \right)}{32}-a \left(-\frac{\left(b x +a \right)^{2} \sqrt{1-\left(b x +a \right)^{2}}}{3}-\frac{2 \sqrt{1-\left(b x +a \right)^{2}}}{3}\right)+\frac{3 a^{2} \left(-\frac{\left(b x +a \right) \sqrt{1-\left(b x +a \right)^{2}}}{2}+\frac{\arcsin \left(b x +a \right)}{2}\right)}{2}+a^{3} \sqrt{1-\left(b x +a \right)^{2}}+\frac{\arcsin \left(b x +a \right) a^{4}}{4}}{b^{4}}"," ",0,"1/b^4*(1/4*arccos(b*x+a)*(b*x+a)^4-arccos(b*x+a)*(b*x+a)^3*a+3/2*arccos(b*x+a)*(b*x+a)^2*a^2-arccos(b*x+a)*(b*x+a)*a^3+1/4*arccos(b*x+a)*a^4-1/16*(b*x+a)^3*(1-(b*x+a)^2)^(1/2)-3/32*(b*x+a)*(1-(b*x+a)^2)^(1/2)+3/32*arcsin(b*x+a)-a*(-1/3*(b*x+a)^2*(1-(b*x+a)^2)^(1/2)-2/3*(1-(b*x+a)^2)^(1/2))+3/2*a^2*(-1/2*(b*x+a)*(1-(b*x+a)^2)^(1/2)+1/2*arcsin(b*x+a))+a^3*(1-(b*x+a)^2)^(1/2)+1/4*arcsin(b*x+a)*a^4)","A"
25,1,161,82,0.006000," ","int(x^2*arccos(b*x+a),x)","\frac{\frac{\arccos \left(b x +a \right) \left(b x +a \right)^{3}}{3}-\arccos \left(b x +a \right) \left(b x +a \right)^{2} a +\arccos \left(b x +a \right) \left(b x +a \right) a^{2}-\frac{\arccos \left(b x +a \right) a^{3}}{3}-\frac{\left(b x +a \right)^{2} \sqrt{1-\left(b x +a \right)^{2}}}{9}-\frac{2 \sqrt{1-\left(b x +a \right)^{2}}}{9}-a \left(-\frac{\left(b x +a \right) \sqrt{1-\left(b x +a \right)^{2}}}{2}+\frac{\arcsin \left(b x +a \right)}{2}\right)-a^{2} \sqrt{1-\left(b x +a \right)^{2}}-\frac{\arcsin \left(b x +a \right) a^{3}}{3}}{b^{3}}"," ",0,"1/b^3*(1/3*arccos(b*x+a)*(b*x+a)^3-arccos(b*x+a)*(b*x+a)^2*a+arccos(b*x+a)*(b*x+a)*a^2-1/3*arccos(b*x+a)*a^3-1/9*(b*x+a)^2*(1-(b*x+a)^2)^(1/2)-2/9*(1-(b*x+a)^2)^(1/2)-a*(-1/2*(b*x+a)*(1-(b*x+a)^2)^(1/2)+1/2*arcsin(b*x+a))-a^2*(1-(b*x+a)^2)^(1/2)-1/3*arcsin(b*x+a)*a^3)","A"
26,1,78,68,0.006000," ","int(x*arccos(b*x+a),x)","\frac{\frac{\arccos \left(b x +a \right) \left(b x +a \right)^{2}}{2}-\arccos \left(b x +a \right) a \left(b x +a \right)-\frac{\left(b x +a \right) \sqrt{1-\left(b x +a \right)^{2}}}{4}+\frac{\arcsin \left(b x +a \right)}{4}+a \sqrt{1-\left(b x +a \right)^{2}}}{b^{2}}"," ",0,"1/b^2*(1/2*arccos(b*x+a)*(b*x+a)^2-arccos(b*x+a)*a*(b*x+a)-1/4*(b*x+a)*(1-(b*x+a)^2)^(1/2)+1/4*arcsin(b*x+a)+a*(1-(b*x+a)^2)^(1/2))","A"
27,1,33,34,0.003000," ","int(arccos(b*x+a),x)","\frac{\left(b x +a \right) \arccos \left(b x +a \right)-\sqrt{1-\left(b x +a \right)^{2}}}{b}"," ",0,"1/b*((b*x+a)*arccos(b*x+a)-(1-(b*x+a)^2)^(1/2))","A"
28,1,199,196,0.215000," ","int(arccos(b*x+a)/x,x)","-\frac{i \arccos \left(b x +a \right)^{2}}{2}+\arccos \left(b x +a \right) \ln \left(\frac{\sqrt{a^{2}-1}+b x +i \sqrt{1-\left(b x +a \right)^{2}}}{-a +\sqrt{a^{2}-1}}\right)+\arccos \left(b x +a \right) \ln \left(\frac{\sqrt{a^{2}-1}-b x -i \sqrt{1-\left(b x +a \right)^{2}}}{a +\sqrt{a^{2}-1}}\right)-i \dilog \left(\frac{\sqrt{a^{2}-1}-b x -i \sqrt{1-\left(b x +a \right)^{2}}}{a +\sqrt{a^{2}-1}}\right)-i \dilog \left(\frac{\sqrt{a^{2}-1}+b x +i \sqrt{1-\left(b x +a \right)^{2}}}{-a +\sqrt{a^{2}-1}}\right)"," ",0,"-1/2*I*arccos(b*x+a)^2+arccos(b*x+a)*ln(((a^2-1)^(1/2)+b*x+I*(1-(b*x+a)^2)^(1/2))/(-a+(a^2-1)^(1/2)))+arccos(b*x+a)*ln(((a^2-1)^(1/2)-b*x-I*(1-(b*x+a)^2)^(1/2))/(a+(a^2-1)^(1/2)))-I*dilog(((a^2-1)^(1/2)-b*x-I*(1-(b*x+a)^2)^(1/2))/(a+(a^2-1)^(1/2)))-I*dilog(((a^2-1)^(1/2)+b*x+I*(1-(b*x+a)^2)^(1/2))/(-a+(a^2-1)^(1/2)))","A"
29,1,77,57,0.006000," ","int(arccos(b*x+a)/x^2,x)","-\frac{\arccos \left(b x +a \right)}{x}+\frac{b \ln \left(\frac{-2 a^{2}+2-2 a b x +2 \sqrt{-a^{2}+1}\, \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}}{b x}\right)}{\sqrt{-a^{2}+1}}"," ",0,"-arccos(b*x+a)/x+b/(-a^2+1)^(1/2)*ln((-2*a^2+2-2*a*b*x+2*(-a^2+1)^(1/2)*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2))/b/x)","A"
30,1,118,89,0.008000," ","int(arccos(b*x+a)/x^3,x)","-\frac{\arccos \left(b x +a \right)}{2 x^{2}}+\frac{b \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}}{2 \left(-a^{2}+1\right) x}+\frac{b^{2} a \ln \left(\frac{-2 a^{2}+2-2 a b x +2 \sqrt{-a^{2}+1}\, \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}}{b x}\right)}{2 \left(-a^{2}+1\right)^{\frac{3}{2}}}"," ",0,"-1/2*arccos(b*x+a)/x^2+1/2*b/(-a^2+1)/x*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2)+1/2*b^2*a/(-a^2+1)^(3/2)*ln((-2*a^2+2-2*a*b*x+2*(-a^2+1)^(1/2)*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2))/b/x)","A"
31,1,227,126,0.008000," ","int(arccos(b*x+a)/x^4,x)","-\frac{\arccos \left(b x +a \right)}{3 x^{3}}+\frac{b \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}}{6 \left(-a^{2}+1\right) x^{2}}+\frac{b^{2} a \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}}{2 \left(-a^{2}+1\right)^{2} x}+\frac{b^{3} a^{2} \ln \left(\frac{-2 a^{2}+2-2 a b x +2 \sqrt{-a^{2}+1}\, \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}}{b x}\right)}{2 \left(-a^{2}+1\right)^{\frac{5}{2}}}+\frac{b^{3} \ln \left(\frac{-2 a^{2}+2-2 a b x +2 \sqrt{-a^{2}+1}\, \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}}{b x}\right)}{6 \left(-a^{2}+1\right)^{\frac{3}{2}}}"," ",0,"-1/3*arccos(b*x+a)/x^3+1/6*b/(-a^2+1)/x^2*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2)+1/2*b^2*a/(-a^2+1)^2/x*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2)+1/2*b^3*a^2/(-a^2+1)^(5/2)*ln((-2*a^2+2-2*a*b*x+2*(-a^2+1)^(1/2)*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2))/b/x)+1/6*b^3/(-a^2+1)^(3/2)*ln((-2*a^2+2-2*a*b*x+2*(-a^2+1)^(1/2)*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2))/b/x)","A"
32,1,71,78,0.065000," ","int(arccos(b*x+a)^3,x)","\frac{\arccos \left(b x +a \right)^{3} \left(b x +a \right)-3 \arccos \left(b x +a \right)^{2} \sqrt{1-\left(b x +a \right)^{2}}+6 \sqrt{1-\left(b x +a \right)^{2}}-6 \left(b x +a \right) \arccos \left(b x +a \right)}{b}"," ",0,"1/b*(arccos(b*x+a)^3*(b*x+a)-3*arccos(b*x+a)^2*(1-(b*x+a)^2)^(1/2)+6*(1-(b*x+a)^2)^(1/2)-6*(b*x+a)*arccos(b*x+a))","A"
33,1,48,45,0.057000," ","int(arccos(b*x+a)^2,x)","\frac{\arccos \left(b x +a \right)^{2} \left(b x +a \right)-2 b x -2 a -2 \arccos \left(b x +a \right) \sqrt{1-\left(b x +a \right)^{2}}}{b}"," ",0,"1/b*(arccos(b*x+a)^2*(b*x+a)-2*b*x-2*a-2*arccos(b*x+a)*(1-(b*x+a)^2)^(1/2))","A"
34,1,13,12,0.072000," ","int(1/arccos(b*x+a),x)","-\frac{\Si \left(\arccos \left(b x +a \right)\right)}{b}"," ",0,"-Si(arccos(b*x+a))/b","A"
35,1,37,38,0.073000," ","int(1/arccos(b*x+a)^2,x)","\frac{\frac{\sqrt{1-\left(b x +a \right)^{2}}}{\arccos \left(b x +a \right)}-\Ci \left(\arccos \left(b x +a \right)\right)}{b}"," ",0,"1/b*(1/arccos(b*x+a)*(1-(b*x+a)^2)^(1/2)-Ci(arccos(b*x+a)))","A"
36,1,53,57,0.079000," ","int(1/arccos(b*x+a)^3,x)","\frac{\frac{\sqrt{1-\left(b x +a \right)^{2}}}{2 \arccos \left(b x +a \right)^{2}}+\frac{b x +a}{2 \arccos \left(b x +a \right)}+\frac{\Si \left(\arccos \left(b x +a \right)\right)}{2}}{b}"," ",0,"1/b*(1/2/arccos(b*x+a)^2*(1-(b*x+a)^2)^(1/2)+1/2/arccos(b*x+a)*(b*x+a)+1/2*Si(arccos(b*x+a)))","A"
37,1,140,89,0.153000," ","int(arccos(b*x+a)^(5/2),x)","-\frac{\sqrt{2}\, \left(-4 \arccos \left(b x +a \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}\, x b -4 \arccos \left(b x +a \right)^{\frac{5}{2}} \sqrt{2}\, \sqrt{\pi}\, a +10 \arccos \left(b x +a \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}+15 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(b x +a \right)}\, x b +15 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(b x +a \right)}\, a -15 \pi  \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(b x +a \right)}}{\sqrt{\pi}}\right)\right)}{8 b \sqrt{\pi}}"," ",0,"-1/8/b*2^(1/2)*(-4*arccos(b*x+a)^(5/2)*2^(1/2)*Pi^(1/2)*x*b-4*arccos(b*x+a)^(5/2)*2^(1/2)*Pi^(1/2)*a+10*arccos(b*x+a)^(3/2)*2^(1/2)*Pi^(1/2)*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2)+15*2^(1/2)*Pi^(1/2)*arccos(b*x+a)^(1/2)*x*b+15*2^(1/2)*Pi^(1/2)*arccos(b*x+a)^(1/2)*a-15*Pi*FresnelC(2^(1/2)/Pi^(1/2)*arccos(b*x+a)^(1/2)))/Pi^(1/2)","A"
38,1,105,71,0.138000," ","int(arccos(b*x+a)^(3/2),x)","\frac{\sqrt{2}\, \left(2 \arccos \left(b x +a \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x b +2 \arccos \left(b x +a \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, a -3 \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(b x +a \right)}\, \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}+3 \pi  \,\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(b x +a \right)}}{\sqrt{\pi}}\right)\right)}{4 b \sqrt{\pi}}"," ",0,"1/4/b*2^(1/2)/Pi^(1/2)*(2*arccos(b*x+a)^(3/2)*2^(1/2)*Pi^(1/2)*x*b+2*arccos(b*x+a)^(3/2)*2^(1/2)*Pi^(1/2)*a-3*2^(1/2)*Pi^(1/2)*arccos(b*x+a)^(1/2)*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2)+3*Pi*FresnelS(2^(1/2)/Pi^(1/2)*arccos(b*x+a)^(1/2)))","A"
39,1,66,45,0.152000," ","int(arccos(b*x+a)^(1/2),x)","\frac{-\FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(b x +a \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(b x +a \right)}+2 \arccos \left(b x +a \right) x b +2 \arccos \left(b x +a \right) a}{2 b \sqrt{\arccos \left(b x +a \right)}}"," ",0,"1/2/b/arccos(b*x+a)^(1/2)*(-FresnelC(2^(1/2)/Pi^(1/2)*arccos(b*x+a)^(1/2))*2^(1/2)*Pi^(1/2)*arccos(b*x+a)^(1/2)+2*arccos(b*x+a)*x*b+2*arccos(b*x+a)*a)","A"
40,1,28,27,0.069000," ","int(1/arccos(b*x+a)^(1/2),x)","-\frac{\mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(b x +a \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\pi}}{b}"," ",0,"-FresnelS(2^(1/2)/Pi^(1/2)*arccos(b*x+a)^(1/2))*2^(1/2)*Pi^(1/2)/b","A"
41,1,84,54,0.144000," ","int(1/arccos(b*x+a)^(3/2),x)","-\frac{\sqrt{2}\, \left(2 \pi  \arccos \left(b x +a \right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(b x +a \right)}}{\sqrt{\pi}}\right)-\sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(b x +a \right)}\, \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}\right)}{b \sqrt{\pi}\, \arccos \left(b x +a \right)}"," ",0,"-1/b*2^(1/2)/Pi^(1/2)/arccos(b*x+a)*(2*Pi*arccos(b*x+a)*FresnelC(2^(1/2)/Pi^(1/2)*arccos(b*x+a)^(1/2))-2^(1/2)*Pi^(1/2)*arccos(b*x+a)^(1/2)*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2))","A"
42,1,120,72,0.148000," ","int(1/arccos(b*x+a)^(5/2),x)","\frac{\sqrt{2}\, \left(4 \pi  \arccos \left(b x +a \right)^{2} \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{\arccos \left(b x +a \right)}}{\sqrt{\pi}}\right)+2 \arccos \left(b x +a \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, x b +2 \arccos \left(b x +a \right)^{\frac{3}{2}} \sqrt{2}\, \sqrt{\pi}\, a +\sqrt{2}\, \sqrt{\pi}\, \sqrt{\arccos \left(b x +a \right)}\, \sqrt{-b^{2} x^{2}-2 a b x -a^{2}+1}\right)}{3 b \sqrt{\pi}\, \arccos \left(b x +a \right)^{2}}"," ",0,"1/3/b*2^(1/2)/Pi^(1/2)*(4*Pi*arccos(b*x+a)^2*FresnelS(2^(1/2)/Pi^(1/2)*arccos(b*x+a)^(1/2))+2*arccos(b*x+a)^(3/2)*2^(1/2)*Pi^(1/2)*x*b+2*arccos(b*x+a)^(3/2)*2^(1/2)*Pi^(1/2)*a+2^(1/2)*Pi^(1/2)*arccos(b*x+a)^(1/2)*(-b^2*x^2-2*a*b*x-a^2+1)^(1/2))/arccos(b*x+a)^2","A"
43,1,89,86,0.096000," ","int(1/(a+b*arccos(d*x+c))^(1/2),x)","-\frac{\sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \left(\cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(d x +c \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-\sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a +b \arccos \left(d x +c \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)\right)}{d}"," ",0,"-2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(d*x+c))^(1/2)/b)-sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a+b*arccos(d*x+c))^(1/2)/b))/d","A"
44,1,91,88,0.092000," ","int(1/(a-b*arccos(d*x+c))^(1/2),x)","-\frac{\sqrt{2}\, \sqrt{\pi}\, \sqrt{\frac{1}{b}}\, \left(\cos \left(\frac{a}{b}\right) \mathrm{S}\left(\frac{\sqrt{2}\, \sqrt{a -b \arccos \left(d x +c \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)-\sin \left(\frac{a}{b}\right) \FresnelC \left(\frac{\sqrt{2}\, \sqrt{a -b \arccos \left(d x +c \right)}}{\sqrt{\pi}\, \sqrt{\frac{1}{b}}\, b}\right)\right)}{d}"," ",0,"-2^(1/2)*Pi^(1/2)*(1/b)^(1/2)*(cos(a/b)*FresnelS(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a-b*arccos(d*x+c))^(1/2)/b)-sin(a/b)*FresnelC(2^(1/2)/Pi^(1/2)/(1/b)^(1/2)*(a-b*arccos(d*x+c))^(1/2)/b))/d","A"
45,1,85,84,0.164000," ","int(arccos(b*x+a)/(a*d/b+d*x),x)","-\frac{i \arccos \left(b x +a \right)^{2}}{2 d}+\frac{\arccos \left(b x +a \right) \ln \left(1+\left(b x +a +i \sqrt{1-\left(b x +a \right)^{2}}\right)^{2}\right)}{d}-\frac{i \polylog \left(2, -\left(b x +a +i \sqrt{1-\left(b x +a \right)^{2}}\right)^{2}\right)}{2 d}"," ",0,"-1/2*I*arccos(b*x+a)^2/d+arccos(b*x+a)*ln(1+(b*x+a+I*(1-(b*x+a)^2)^(1/2))^2)/d-1/2*I*polylog(2,-(b*x+a+I*(1-(b*x+a)^2)^(1/2))^2)/d","A"
46,1,33,26,0.208000," ","int(arccos(x)*(-x^2+1)^(1/2),x)","-\frac{\arccos \left(x \right) \left(-x \sqrt{-x^{2}+1}+\arccos \left(x \right)\right)}{2}+\frac{\arccos \left(x \right)^{2}}{4}+\frac{x^{2}}{4}-\frac{1}{4}"," ",0,"-1/2*arccos(x)*(-x*(-x^2+1)^(1/2)+arccos(x))+1/4*arccos(x)^2+1/4*x^2-1/4","A"
47,1,65,43,0.073000," ","int(x^3*arccos(a*x^2),x)","\frac{x^{4} \arccos \left(a \,x^{2}\right)}{4}-\frac{x^{2} \sqrt{-a^{2} x^{4}+1}}{8 a}+\frac{\arctan \left(\frac{\sqrt{a^{2}}\, x^{2}}{\sqrt{-a^{2} x^{4}+1}}\right)}{8 a \sqrt{a^{2}}}"," ",0,"1/4*x^4*arccos(a*x^2)-1/8*x^2*(-a^2*x^4+1)^(1/2)/a+1/8/a/(a^2)^(1/2)*arctan((a^2)^(1/2)*x^2/(-a^2*x^4+1)^(1/2))","A"
48,1,79,43,0.008000," ","int(x^2*arccos(a*x^2),x)","\frac{x^{3} \arccos \left(a \,x^{2}\right)}{3}+\frac{2 a \left(-\frac{x \sqrt{-a^{2} x^{4}+1}}{3 a^{2}}+\frac{\sqrt{-a \,x^{2}+1}\, \sqrt{a \,x^{2}+1}\, \EllipticF \left(x \sqrt{a}, i\right)}{3 a^{\frac{5}{2}} \sqrt{-a^{2} x^{4}+1}}\right)}{3}"," ",0,"1/3*x^3*arccos(a*x^2)+2/3*a*(-1/3/a^2*x*(-a^2*x^4+1)^(1/2)+1/3/a^(5/2)*(-a*x^2+1)^(1/2)*(a*x^2+1)^(1/2)/(-a^2*x^4+1)^(1/2)*EllipticF(x*a^(1/2),I))","A"
49,1,32,29,0.004000," ","int(x*arccos(a*x^2),x)","\frac{x^{2} a \arccos \left(a \,x^{2}\right)-\sqrt{-a^{2} x^{4}+1}}{2 a}"," ",0,"1/2/a*(x^2*a*arccos(a*x^2)-(-a^2*x^4+1)^(1/2))","A"
50,1,65,35,0.007000," ","int(arccos(a*x^2),x)","x \arccos \left(a \,x^{2}\right)-\frac{2 \sqrt{-a \,x^{2}+1}\, \sqrt{a \,x^{2}+1}\, \left(\EllipticF \left(x \sqrt{a}, i\right)-\EllipticE \left(x \sqrt{a}, i\right)\right)}{\sqrt{a}\, \sqrt{-a^{2} x^{4}+1}}"," ",0,"x*arccos(a*x^2)-2/a^(1/2)*(-a*x^2+1)^(1/2)*(a*x^2+1)^(1/2)/(-a^2*x^4+1)^(1/2)*(EllipticF(x*a^(1/2),I)-EllipticE(x*a^(1/2),I))","A"
51,0,0,76,0.076000," ","int(arccos(a*x^2)/x,x)","\int \frac{\arccos \left(a \,x^{2}\right)}{x}\, dx"," ",0,"int(arccos(a*x^2)/x,x)","F"
52,1,57,25,0.008000," ","int(arccos(a*x^2)/x^2,x)","-\frac{\arccos \left(a \,x^{2}\right)}{x}-\frac{2 \sqrt{a}\, \sqrt{-a \,x^{2}+1}\, \sqrt{a \,x^{2}+1}\, \EllipticF \left(x \sqrt{a}, i\right)}{\sqrt{-a^{2} x^{4}+1}}"," ",0,"-arccos(a*x^2)/x-2*a^(1/2)*(-a*x^2+1)^(1/2)*(a*x^2+1)^(1/2)/(-a^2*x^4+1)^(1/2)*EllipticF(x*a^(1/2),I)","B"
53,1,56,48,0.018000," ","int(x^2*arccos(a/x),x)","-a^{3} \left(-\frac{x^{3} \arccos \left(\frac{a}{x}\right)}{3 a^{3}}+\frac{x^{2} \sqrt{1-\frac{a^{2}}{x^{2}}}}{6 a^{2}}+\frac{\arctanh \left(\frac{1}{\sqrt{1-\frac{a^{2}}{x^{2}}}}\right)}{6}\right)"," ",0,"-a^3*(-1/3/a^3*x^3*arccos(a/x)+1/6/a^2*x^2*(1-a^2/x^2)^(1/2)+1/6*arctanh(1/(1-a^2/x^2)^(1/2)))","A"
54,1,39,28,0.007000," ","int(x*arccos(a/x),x)","-a^{2} \left(-\frac{x^{2} \arccos \left(\frac{a}{x}\right)}{2 a^{2}}+\frac{\sqrt{1-\frac{a^{2}}{x^{2}}}\, x}{2 a}\right)"," ",0,"-a^2*(-1/2/a^2*x^2*arccos(a/x)+1/2*(1-a^2/x^2)^(1/2)/a*x)","A"
55,1,30,25,0.009000," ","int(arccos(a/x),x)","-a \left(-\frac{x \arccos \left(\frac{a}{x}\right)}{a}+\arctanh \left(\frac{1}{\sqrt{1-\frac{a^{2}}{x^{2}}}}\right)\right)"," ",0,"-a*(-1/a*x*arccos(a/x)+arctanh(1/(1-a^2/x^2)^(1/2)))","A"
56,1,77,76,0.043000," ","int(arccos(a/x)/x,x)","\frac{i \arccos \left(\frac{a}{x}\right)^{2}}{2}-\arccos \left(\frac{a}{x}\right) \ln \left(1+\left(\frac{a}{x}+i \sqrt{1-\frac{a^{2}}{x^{2}}}\right)^{2}\right)+\frac{i \polylog \left(2, -\left(\frac{a}{x}+i \sqrt{1-\frac{a^{2}}{x^{2}}}\right)^{2}\right)}{2}"," ",0,"1/2*I*arccos(a/x)^2-arccos(a/x)*ln(1+(a/x+I*(1-a^2/x^2)^(1/2))^2)+1/2*I*polylog(2,-(a/x+I*(1-a^2/x^2)^(1/2))^2)","A"
57,1,32,28,0.004000," ","int(arccos(a/x)/x^2,x)","-\frac{\frac{a \arccos \left(\frac{a}{x}\right)}{x}-\sqrt{1-\frac{a^{2}}{x^{2}}}}{a}"," ",0,"-1/a*(1/x*a*arccos(a/x)-(1-a^2/x^2)^(1/2))","A"
58,1,47,43,0.007000," ","int(arccos(a/x)/x^3,x)","-\frac{\frac{\arccos \left(\frac{a}{x}\right) a^{2}}{2 x^{2}}-\frac{a \sqrt{1-\frac{a^{2}}{x^{2}}}}{4 x}+\frac{\arcsin \left(\frac{a}{x}\right)}{4}}{a^{2}}"," ",0,"-1/a^2*(1/2*arccos(a/x)*a^2/x^2-1/4*a/x*(1-a^2/x^2)^(1/2)+1/4*arcsin(a/x))","A"
59,1,55,46,0.007000," ","int(arccos(a/x)/x^4,x)","-\frac{\frac{\arccos \left(\frac{a}{x}\right) a^{3}}{3 x^{3}}-\frac{a^{2} \sqrt{1-\frac{a^{2}}{x^{2}}}}{9 x^{2}}-\frac{2 \sqrt{1-\frac{a^{2}}{x^{2}}}}{9}}{a^{3}}"," ",0,"-1/a^3*(1/3*arccos(a/x)*a^3/x^3-1/9*a^2/x^2*(1-a^2/x^2)^(1/2)-2/9*(1-a^2/x^2)^(1/2))","A"
60,1,53,54,0.005000," ","int(x^2*arccos(x^(1/2)),x)","\frac{x^{3} \arccos \left(\sqrt{x}\right)}{3}-\frac{x^{\frac{5}{2}} \sqrt{1-x}}{18}-\frac{5 x^{\frac{3}{2}} \sqrt{1-x}}{72}-\frac{5 \sqrt{1-x}\, \sqrt{x}}{48}+\frac{5 \arcsin \left(\sqrt{x}\right)}{48}"," ",0,"1/3*x^3*arccos(x^(1/2))-1/18*x^(5/2)*(1-x)^(1/2)-5/72*x^(3/2)*(1-x)^(1/2)-5/48*(1-x)^(1/2)*x^(1/2)+5/48*arcsin(x^(1/2))","A"
61,1,41,42,0.004000," ","int(x*arccos(x^(1/2)),x)","\frac{x^{2} \arccos \left(\sqrt{x}\right)}{2}-\frac{x^{\frac{3}{2}} \sqrt{1-x}}{8}-\frac{3 \sqrt{1-x}\, \sqrt{x}}{16}+\frac{3 \arcsin \left(\sqrt{x}\right)}{16}"," ",0,"1/2*x^2*arccos(x^(1/2))-1/8*x^(3/2)*(1-x)^(1/2)-3/16*(1-x)^(1/2)*x^(1/2)+3/16*arcsin(x^(1/2))","A"
62,1,26,27,0.003000," ","int(arccos(x^(1/2)),x)","x \arccos \left(\sqrt{x}\right)-\frac{\sqrt{1-x}\, \sqrt{x}}{2}+\frac{\arcsin \left(\sqrt{x}\right)}{2}"," ",0,"x*arccos(x^(1/2))-1/2*(1-x)^(1/2)*x^(1/2)+1/2*arcsin(x^(1/2))","A"
63,1,59,58,0.003000," ","int(arccos(x^(1/2))/x,x)","-i \arccos \left(\sqrt{x}\right)^{2}+2 \arccos \left(\sqrt{x}\right) \ln \left(1+\left(\sqrt{x}+i \sqrt{1-x}\right)^{2}\right)-i \polylog \left(2, -\left(\sqrt{x}+i \sqrt{1-x}\right)^{2}\right)"," ",0,"-I*arccos(x^(1/2))^2+2*arccos(x^(1/2))*ln(1+(x^(1/2)+I*(1-x)^(1/2))^2)-I*polylog(2,-(x^(1/2)+I*(1-x)^(1/2))^2)","A"
64,1,22,21,0.002000," ","int(arccos(x^(1/2))/x^2,x)","-\frac{\arccos \left(\sqrt{x}\right)}{x}+\frac{\sqrt{1-x}}{\sqrt{x}}"," ",0,"-arccos(x^(1/2))/x+(1-x)^(1/2)/x^(1/2)","A"
65,1,35,34,0.005000," ","int(arccos(x^(1/2))/x^3,x)","-\frac{\arccos \left(\sqrt{x}\right)}{2 x^{2}}+\frac{\sqrt{1-x}}{6 x^{\frac{3}{2}}}+\frac{\sqrt{1-x}}{3 \sqrt{x}}"," ",0,"-1/2*arccos(x^(1/2))/x^2+1/6*(1-x)^(1/2)/x^(3/2)+1/3*(1-x)^(1/2)/x^(1/2)","A"
66,1,47,46,0.007000," ","int(arccos(x^(1/2))/x^4,x)","-\frac{\arccos \left(\sqrt{x}\right)}{3 x^{3}}+\frac{\sqrt{1-x}}{15 x^{\frac{5}{2}}}+\frac{4 \sqrt{1-x}}{45 x^{\frac{3}{2}}}+\frac{8 \sqrt{1-x}}{45 \sqrt{x}}"," ",0,"-1/3*arccos(x^(1/2))/x^3+1/15*(1-x)^(1/2)/x^(5/2)+4/45*(1-x)^(1/2)/x^(3/2)+8/45*(1-x)^(1/2)/x^(1/2)","A"
67,1,59,58,0.004000," ","int(arccos(x^(1/2))/x^5,x)","-\frac{\arccos \left(\sqrt{x}\right)}{4 x^{4}}+\frac{\sqrt{1-x}}{28 x^{\frac{7}{2}}}+\frac{3 \sqrt{1-x}}{70 x^{\frac{5}{2}}}+\frac{2 \sqrt{1-x}}{35 x^{\frac{3}{2}}}+\frac{4 \sqrt{1-x}}{35 \sqrt{x}}"," ",0,"-1/4*arccos(x^(1/2))/x^4+1/28*(1-x)^(1/2)/x^(7/2)+3/70*(1-x)^(1/2)/x^(5/2)+2/35*(1-x)^(1/2)/x^(3/2)+4/35*(1-x)^(1/2)/x^(1/2)","A"
68,1,20,19,0.005000," ","int(arccos(x^(1/2))/x^(1/2),x)","-2 \sqrt{1-x}+2 \arccos \left(\sqrt{x}\right) \sqrt{x}"," ",0,"-2*(1-x)^(1/2)+2*arccos(x^(1/2))*x^(1/2)","A"
69,1,89,88,0.040000," ","int(arccos(a*x^n)/x,x)","-\frac{i \arccos \left(a \,x^{n}\right)^{2}}{2 n}+\frac{\arccos \left(a \,x^{n}\right) \ln \left(1+\left(a \,x^{n}+i \sqrt{1-a^{2} x^{2 n}}\right)^{2}\right)}{n}-\frac{i \polylog \left(2, -\left(a \,x^{n}+i \sqrt{1-a^{2} x^{2 n}}\right)^{2}\right)}{2 n}"," ",0,"-1/2*I*arccos(a*x^n)^2/n+arccos(a*x^n)*ln(1+(a*x^n+I*(1-a^2*(x^n)^2)^(1/2))^2)/n-1/2*I*polylog(2,-(a*x^n+I*(1-a^2*(x^n)^2)^(1/2))^2)/n","A"
70,0,0,76,0.075000," ","int(arccos(a*x^5)/x,x)","\int \frac{\arccos \left(a \,x^{5}\right)}{x}\, dx"," ",0,"int(arccos(a*x^5)/x,x)","F"
71,1,40,41,0.003000," ","int(x^3*arccos(b*x^4+a),x)","\frac{\left(b \,x^{4}+a \right) \arccos \left(b \,x^{4}+a \right)-\sqrt{1-\left(b \,x^{4}+a \right)^{2}}}{4 b}"," ",0,"1/4/b*((b*x^4+a)*arccos(b*x^4+a)-(1-(b*x^4+a)^2)^(1/2))","A"
72,0,0,46,0.049000," ","int(x^(n-1)*arccos(a+b*x^n),x)","\int x^{n -1} \arccos \left(a +b \,x^{n}\right)\, dx"," ",0,"int(x^(n-1)*arccos(a+b*x^n),x)","F"
73,0,0,123,0.151000," ","int((a+b*arccos(d*x^2+1))^4,x)","\int \left(a +b \arccos \left(d \,x^{2}+1\right)\right)^{4}\, dx"," ",0,"int((a+b*arccos(d*x^2+1))^4,x)","F"
74,0,0,106,0.276000," ","int((a+b*arccos(d*x^2+1))^3,x)","\int \left(a +b \arccos \left(d \,x^{2}+1\right)\right)^{3}\, dx"," ",0,"int((a+b*arccos(d*x^2+1))^3,x)","F"
75,0,0,61,0.280000," ","int((a+b*arccos(d*x^2+1))^2,x)","\int \left(a +b \arccos \left(d \,x^{2}+1\right)\right)^{2}\, dx"," ",0,"int((a+b*arccos(d*x^2+1))^2,x)","F"
76,1,45,41,0.010000," ","int(a+b*arccos(d*x^2+1),x)","a x +b \left(x \arccos \left(d \,x^{2}+1\right)+\frac{2 x \left(d \,x^{2}+2\right)}{\sqrt{-d^{2} x^{4}-2 d \,x^{2}}}\right)"," ",0,"a*x+b*(x*arccos(d*x^2+1)+2/(-d^2*x^4-2*d*x^2)^(1/2)*x*(d*x^2+2))","A"
77,0,0,85,0.079000," ","int(1/(a+b*arccos(d*x^2+1)),x)","\int \frac{1}{a +b \arccos \left(d \,x^{2}+1\right)}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2+1)),x)","F"
78,0,0,127,0.078000," ","int(1/(a+b*arccos(d*x^2+1))^2,x)","\int \frac{1}{\left(a +b \arccos \left(d \,x^{2}+1\right)\right)^{2}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2+1))^2,x)","F"
79,0,0,147,0.085000," ","int(1/(a+b*arccos(d*x^2+1))^3,x)","\int \frac{1}{\left(a +b \arccos \left(d \,x^{2}+1\right)\right)^{3}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2+1))^3,x)","F"
80,0,0,123,0.147000," ","int((a+b*arccos(d*x^2-1))^4,x)","\int \left(a +b \arccos \left(d \,x^{2}-1\right)\right)^{4}\, dx"," ",0,"int((a+b*arccos(d*x^2-1))^4,x)","F"
81,0,0,106,0.144000," ","int((a+b*arccos(d*x^2-1))^3,x)","\int \left(a +b \arccos \left(d \,x^{2}-1\right)\right)^{3}\, dx"," ",0,"int((a+b*arccos(d*x^2-1))^3,x)","F"
82,0,0,61,0.137000," ","int((a+b*arccos(d*x^2-1))^2,x)","\int \left(a +b \arccos \left(d \,x^{2}-1\right)\right)^{2}\, dx"," ",0,"int((a+b*arccos(d*x^2-1))^2,x)","F"
83,1,45,41,0.006000," ","int(a+b*arccos(d*x^2-1),x)","a x +b \left(x \arccos \left(d \,x^{2}-1\right)+\frac{2 x \left(d \,x^{2}-2\right)}{\sqrt{-d^{2} x^{4}+2 d \,x^{2}}}\right)"," ",0,"a*x+b*(x*arccos(d*x^2-1)+2/(-d^2*x^4+2*d*x^2)^(1/2)*x*(d*x^2-2))","A"
84,0,0,83,0.081000," ","int(1/(a+b*arccos(d*x^2-1)),x)","\int \frac{1}{a +b \arccos \left(d \,x^{2}-1\right)}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2-1)),x)","F"
85,0,0,125,0.084000," ","int(1/(a+b*arccos(d*x^2-1))^2,x)","\int \frac{1}{\left(a +b \arccos \left(d \,x^{2}-1\right)\right)^{2}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2-1))^2,x)","F"
86,0,0,145,0.079000," ","int(1/(a+b*arccos(d*x^2-1))^3,x)","\int \frac{1}{\left(a +b \arccos \left(d \,x^{2}-1\right)\right)^{3}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2-1))^3,x)","F"
87,0,0,211,0.092000," ","int((a+b*arccos(d*x^2+1))^(5/2),x)","\int \left(a +b \arccos \left(d \,x^{2}+1\right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((a+b*arccos(d*x^2+1))^(5/2),x)","F"
88,0,0,173,0.082000," ","int((a+b*arccos(d*x^2+1))^(3/2),x)","\int \left(a +b \arccos \left(d \,x^{2}+1\right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((a+b*arccos(d*x^2+1))^(3/2),x)","F"
89,0,0,152,0.078000," ","int((a+b*arccos(d*x^2+1))^(1/2),x)","\int \sqrt{a +b \arccos \left(d \,x^{2}+1\right)}\, dx"," ",0,"int((a+b*arccos(d*x^2+1))^(1/2),x)","F"
90,0,0,117,0.087000," ","int(1/(a+b*arccos(d*x^2+1))^(1/2),x)","\int \frac{1}{\sqrt{a +b \arccos \left(d \,x^{2}+1\right)}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2+1))^(1/2),x)","F"
91,0,0,158,0.079000," ","int(1/(a+b*arccos(d*x^2+1))^(3/2),x)","\int \frac{1}{\left(a +b \arccos \left(d \,x^{2}+1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2+1))^(3/2),x)","F"
92,0,0,179,0.076000," ","int(1/(a+b*arccos(d*x^2+1))^(5/2),x)","\int \frac{1}{\left(a +b \arccos \left(d \,x^{2}+1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2+1))^(5/2),x)","F"
93,0,0,221,0.081000," ","int(1/(a+b*arccos(d*x^2+1))^(7/2),x)","\int \frac{1}{\left(a +b \arccos \left(d \,x^{2}+1\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2+1))^(7/2),x)","F"
94,0,0,211,0.081000," ","int((a+b*arccos(d*x^2-1))^(5/2),x)","\int \left(a +b \arccos \left(d \,x^{2}-1\right)\right)^{\frac{5}{2}}\, dx"," ",0,"int((a+b*arccos(d*x^2-1))^(5/2),x)","F"
95,0,0,173,0.078000," ","int((a+b*arccos(d*x^2-1))^(3/2),x)","\int \left(a +b \arccos \left(d \,x^{2}-1\right)\right)^{\frac{3}{2}}\, dx"," ",0,"int((a+b*arccos(d*x^2-1))^(3/2),x)","F"
96,0,0,152,0.075000," ","int((a+b*arccos(d*x^2-1))^(1/2),x)","\int \sqrt{a +b \arccos \left(d \,x^{2}-1\right)}\, dx"," ",0,"int((a+b*arccos(d*x^2-1))^(1/2),x)","F"
97,0,0,117,0.082000," ","int(1/(a+b*arccos(d*x^2-1))^(1/2),x)","\int \frac{1}{\sqrt{a +b \arccos \left(d \,x^{2}-1\right)}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2-1))^(1/2),x)","F"
98,0,0,158,0.077000," ","int(1/(a+b*arccos(d*x^2-1))^(3/2),x)","\int \frac{1}{\left(a +b \arccos \left(d \,x^{2}-1\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2-1))^(3/2),x)","F"
99,0,0,179,0.079000," ","int(1/(a+b*arccos(d*x^2-1))^(5/2),x)","\int \frac{1}{\left(a +b \arccos \left(d \,x^{2}-1\right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2-1))^(5/2),x)","F"
100,0,0,221,0.075000," ","int(1/(a+b*arccos(d*x^2-1))^(7/2),x)","\int \frac{1}{\left(a +b \arccos \left(d \,x^{2}-1\right)\right)^{\frac{7}{2}}}\, dx"," ",0,"int(1/(a+b*arccos(d*x^2-1))^(7/2),x)","F"
101,0,0,38,0.965000," ","int((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x)","\int \frac{\left(a +b \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)\right)^{n}}{-c^{2} x^{2}+1}\, dx"," ",0,"int((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x)","F"
102,1,707,308,0.922000," ","int((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x)","-\frac{a^{3} \ln \left(c x -1\right)}{2 c}+\frac{a^{3} \ln \left(c x +1\right)}{2 c}+\frac{i b^{3} \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{4}}{4 c}-\frac{b^{3} \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{3} \ln \left(1+\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{c}+\frac{3 i b^{3} \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \polylog \left(2, -\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{2 c}-\frac{3 b^{3} \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(3, -\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{2 c}-\frac{3 i b^{3} \polylog \left(4, -\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{4 c}+\frac{i a \,b^{2} \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{3}}{c}-\frac{3 a \,b^{2} \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1+\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{c}+\frac{3 i a \,b^{2} \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, -\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{c}-\frac{3 a \,b^{2} \polylog \left(3, -\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{2 c}+\frac{3 i a^{2} b \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2}}{2 c}-\frac{3 a^{2} b \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \ln \left(1+\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{c}+\frac{3 i a^{2} b \polylog \left(2, -\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{2 c}"," ",0,"-1/2*a^3/c*ln(c*x-1)+1/2*a^3/c*ln(c*x+1)+1/4*I*b^3/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))^4-b^3/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))^3*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)+3/2*I*b^3/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)-3/2*b^3/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(3,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)-3/4*I*b^3*polylog(4,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)/c+I*a*b^2/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))^3-3*a*b^2/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)+3*I*a*b^2/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)-3/2*a*b^2/c*polylog(3,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)+3/2*I*a^2*b/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2-3*a^2*b/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)+3/2*I*a^2*b/c*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)","B"
103,1,401,231,0.009000," ","int((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1),x)","-\frac{a^{2} \ln \left(c x -1\right)}{2 c}+\frac{a^{2} \ln \left(c x +1\right)}{2 c}+\frac{i b^{2} \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{3}}{3 c}-\frac{b^{2} \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2} \ln \left(1+\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{c}+\frac{i b^{2} \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \polylog \left(2, -\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{c}-\frac{b^{2} \polylog \left(3, -\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{2 c}+\frac{i a b \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2}}{c}-\frac{2 a b \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \ln \left(1+\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{c}+\frac{i a b \polylog \left(2, -\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{c}"," ",0,"-1/2*a^2/c*ln(c*x-1)+1/2*a^2/c*ln(c*x+1)+1/3*I*b^2/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))^3-b^2/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)+I*b^2/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)-1/2*b^2*polylog(3,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)/c+I*a*b/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2-2*a*b/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)+I*a*b/c*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)","A"
104,1,171,155,0.007000," ","int((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x)","-\frac{a \ln \left(c x -1\right)}{2 c}+\frac{a \ln \left(c x +1\right)}{2 c}+\frac{i b \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)^{2}}{2 c}-\frac{b \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right) \ln \left(1+\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{c}+\frac{i b \polylog \left(2, -\left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}+i \sqrt{1-\frac{-c x +1}{c x +1}}\right)^{2}\right)}{2 c}"," ",0,"-1/2*a/c*ln(c*x-1)+1/2*a/c*ln(c*x+1)+1/2*I*b/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))^2-b/c*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))*ln(1+((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)+1/2*I*b*polylog(2,-((-c*x+1)^(1/2)/(c*x+1)^(1/2)+I*(1-(-c*x+1)/(c*x+1))^(1/2))^2)/c","A"
105,0,0,38,0.375000," ","int(1/(-c^2*x^2+1)/(a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x)","\int \frac{1}{\left(-c^{2} x^{2}+1\right) \left(a +b \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)\right)}\, dx"," ",0,"int(1/(-c^2*x^2+1)/(a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x)","F"
106,0,0,38,0.367000," ","int(1/(-c^2*x^2+1)/(a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x)","\int \frac{1}{\left(-c^{2} x^{2}+1\right) \left(a +b \arccos \left(\frac{\sqrt{-c x +1}}{\sqrt{c x +1}}\right)\right)^{2}}\, dx"," ",0,"int(1/(-c^2*x^2+1)/(a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x)","F"
107,1,107,106,0.005000," ","int(arccos(c*exp(b*x+a)),x)","-\frac{i \arccos \left(c \,{\mathrm e}^{b x +a}\right)^{2}}{2 b}+\frac{\arccos \left(c \,{\mathrm e}^{b x +a}\right) \ln \left(1+\left(c \,{\mathrm e}^{b x +a}+i \sqrt{1-c^{2} {\mathrm e}^{2 b x +2 a}}\right)^{2}\right)}{b}-\frac{i \polylog \left(2, -\left(c \,{\mathrm e}^{b x +a}+i \sqrt{1-c^{2} {\mathrm e}^{2 b x +2 a}}\right)^{2}\right)}{2 b}"," ",0,"-1/2*I*arccos(c*exp(b*x+a))^2/b+arccos(c*exp(b*x+a))*ln(1+(c*exp(b*x+a)+I*(1-c^2*exp(b*x+a)^2)^(1/2))^2)/b-1/2*I*polylog(2,-(c*exp(b*x+a)+I*(1-c^2*exp(b*x+a)^2)^(1/2))^2)/b","A"
108,0,0,69,0.010000," ","int(exp(arccos(a*x))*x^3,x)","\int {\mathrm e}^{\arccos \left(a x \right)} x^{3}\, dx"," ",0,"int(exp(arccos(a*x))*x^3,x)","F"
109,0,0,68,0.012000," ","int(exp(arccos(a*x))*x^2,x)","\int {\mathrm e}^{\arccos \left(a x \right)} x^{2}\, dx"," ",0,"int(exp(arccos(a*x))*x^2,x)","F"
110,0,0,35,0.010000," ","int(exp(arccos(a*x))*x,x)","\int {\mathrm e}^{\arccos \left(a x \right)} x\, dx"," ",0,"int(exp(arccos(a*x))*x,x)","F"
111,0,0,31,0.006000," ","int(exp(arccos(a*x)),x)","\int {\mathrm e}^{\arccos \left(a x \right)}\, dx"," ",0,"int(exp(arccos(a*x)),x)","F"
112,0,0,49,0.011000," ","int(exp(arccos(a*x))/x,x)","\int \frac{{\mathrm e}^{\arccos \left(a x \right)}}{x}\, dx"," ",0,"int(exp(arccos(a*x))/x,x)","F"
113,0,0,95,0.008000," ","int(exp(arccos(a*x))/x^2,x)","\int \frac{{\mathrm e}^{\arccos \left(a x \right)}}{x^{2}}\, dx"," ",0,"int(exp(arccos(a*x))/x^2,x)","F"
114,1,45,46,0.014000," ","int(arccos(c/(b*x+a)),x)","-\frac{c \left(-\frac{\left(b x +a \right) \arccos \left(\frac{c}{b x +a}\right)}{c}+\arctanh \left(\frac{1}{\sqrt{1-\frac{c^{2}}{\left(b x +a \right)^{2}}}}\right)\right)}{b}"," ",0,"-1/b*c*(-1/c*(b*x+a)*arccos(c/(b*x+a))+arctanh(1/(1-c^2/(b*x+a)^2)^(1/2)))","A"
115,1,21,20,0.336000," ","int(x/(-x^2+1)^(1/2)/arccos(x)^(1/2),x)","-\FresnelC \left(\frac{\sqrt{2}\, \sqrt{\arccos \left(x \right)}}{\sqrt{\pi}}\right) \sqrt{2}\, \sqrt{\pi}"," ",0,"-FresnelC(2^(1/2)/Pi^(1/2)*arccos(x)^(1/2))*2^(1/2)*Pi^(1/2)","A"
116,1,6,5,0.189000," ","int(x/arccos(x)/(-x^2+1)^(1/2),x)","-\Ci \left(\arccos \left(x \right)\right)"," ",0,"-Ci(arccos(x))","A"
117,0,0,35,0.352000," ","int(arccos((b*x^2+1)^(1/2))^n/(b*x^2+1)^(1/2),x)","\int \frac{\arccos \left(\sqrt{b \,x^{2}+1}\right)^{n}}{\sqrt{b \,x^{2}+1}}\, dx"," ",0,"int(arccos((b*x^2+1)^(1/2))^n/(b*x^2+1)^(1/2),x)","F"
118,0,0,27,0.295000," ","int(1/arccos((b*x^2+1)^(1/2))/(b*x^2+1)^(1/2),x)","\int \frac{1}{\arccos \left(\sqrt{b \,x^{2}+1}\right) \sqrt{b \,x^{2}+1}}\, dx"," ",0,"int(1/arccos((b*x^2+1)^(1/2))/(b*x^2+1)^(1/2),x)","F"