1,0,0,0,0.452863," ","integrate((g*x+f)^3*(a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(a g^{3} x^{3} + 3 \, a f g^{2} x^{2} + 3 \, a f^{2} g x + a f^{3} + {\left(b g^{3} x^{3} + 3 \, b f g^{2} x^{2} + 3 \, b f^{2} g x + b f^{3}\right)} \arccos\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*g^3*x^3 + 3*a*f*g^2*x^2 + 3*a*f^2*g*x + a*f^3 + (b*g^3*x^3 + 3*b*f*g^2*x^2 + 3*b*f^2*g*x + b*f^3)*arccos(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
2,0,0,0,0.453737," ","integrate((g*x+f)^2*(a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(a g^{2} x^{2} + 2 \, a f g x + a f^{2} + {\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} \arccos\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(a*g^2*x^2 + 2*a*f*g*x + a*f^2 + (b*g^2*x^2 + 2*b*f*g*x + b*f^2)*arccos(c*x)), x)","F",0
3,0,0,0,0.446383," ","integrate((g*x+f)*(a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{-c^{2} d x^{2} + d} {\left(a g x + a f + {\left(b g x + b f\right)} \arccos\left(c x\right)\right)}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(a*g*x + a*f + (b*g*x + b*f)*arccos(c*x)), x)","F",0
4,0,0,0,0.478291," ","integrate((a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \arccos\left(c x\right) + a\right)}}{g x + f}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccos(c*x) + a)/(g*x + f), x)","F",0
5,0,0,0,0.455853," ","integrate((a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \arccos\left(c x\right) + a\right)}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral(sqrt(-c^2*d*x^2 + d)*(b*arccos(c*x) + a)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
6,0,0,0,0.483651," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d g^{3} x^{5} + 3 \, a c^{2} d f g^{2} x^{4} - 3 \, a d f^{2} g x - a d f^{3} + {\left(3 \, a c^{2} d f^{2} g - a d g^{3}\right)} x^{3} + {\left(a c^{2} d f^{3} - 3 \, a d f g^{2}\right)} x^{2} + {\left(b c^{2} d g^{3} x^{5} + 3 \, b c^{2} d f g^{2} x^{4} - 3 \, b d f^{2} g x - b d f^{3} + {\left(3 \, b c^{2} d f^{2} g - b d g^{3}\right)} x^{3} + {\left(b c^{2} d f^{3} - 3 \, b d f g^{2}\right)} x^{2}\right)} \arccos\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*g^3*x^5 + 3*a*c^2*d*f*g^2*x^4 - 3*a*d*f^2*g*x - a*d*f^3 + (3*a*c^2*d*f^2*g - a*d*g^3)*x^3 + (a*c^2*d*f^3 - 3*a*d*f*g^2)*x^2 + (b*c^2*d*g^3*x^5 + 3*b*c^2*d*f*g^2*x^4 - 3*b*d*f^2*g*x - b*d*f^3 + (3*b*c^2*d*f^2*g - b*d*g^3)*x^3 + (b*c^2*d*f^3 - 3*b*d*f*g^2)*x^2)*arccos(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
7,0,0,0,0.446456," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d g^{2} x^{4} + 2 \, a c^{2} d f g x^{3} - 2 \, a d f g x - a d f^{2} + {\left(a c^{2} d f^{2} - a d g^{2}\right)} x^{2} + {\left(b c^{2} d g^{2} x^{4} + 2 \, b c^{2} d f g x^{3} - 2 \, b d f g x - b d f^{2} + {\left(b c^{2} d f^{2} - b d g^{2}\right)} x^{2}\right)} \arccos\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*g^2*x^4 + 2*a*c^2*d*f*g*x^3 - 2*a*d*f*g*x - a*d*f^2 + (a*c^2*d*f^2 - a*d*g^2)*x^2 + (b*c^2*d*g^2*x^4 + 2*b*c^2*d*f*g*x^3 - 2*b*d*f*g*x - b*d*f^2 + (b*c^2*d*f^2 - b*d*g^2)*x^2)*arccos(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
8,0,0,0,0.473877," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x, algorithm=""fricas"")","{\rm integral}\left(-{\left(a c^{2} d g x^{3} + a c^{2} d f x^{2} - a d g x - a d f + {\left(b c^{2} d g x^{3} + b c^{2} d f x^{2} - b d g x - b d f\right)} \arccos\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral(-(a*c^2*d*g*x^3 + a*c^2*d*f*x^2 - a*d*g*x - a*d*f + (b*c^2*d*g*x^3 + b*c^2*d*f*x^2 - b*d*g*x - b*d*f)*arccos(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
9,0,0,0,0.457232," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a c^{2} d x^{2} - a d + {\left(b c^{2} d x^{2} - b d\right)} \arccos\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{g x + f}, x\right)"," ",0,"integral(-(a*c^2*d*x^2 - a*d + (b*c^2*d*x^2 - b*d)*arccos(c*x))*sqrt(-c^2*d*x^2 + d)/(g*x + f), x)","F",0
10,0,0,0,0.487729," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} g^{3} x^{7} + 3 \, a c^{4} d^{2} f g^{2} x^{6} + 3 \, a d^{2} f^{2} g x + a d^{2} f^{3} + {\left(3 \, a c^{4} d^{2} f^{2} g - 2 \, a c^{2} d^{2} g^{3}\right)} x^{5} + {\left(a c^{4} d^{2} f^{3} - 6 \, a c^{2} d^{2} f g^{2}\right)} x^{4} - {\left(6 \, a c^{2} d^{2} f^{2} g - a d^{2} g^{3}\right)} x^{3} - {\left(2 \, a c^{2} d^{2} f^{3} - 3 \, a d^{2} f g^{2}\right)} x^{2} + {\left(b c^{4} d^{2} g^{3} x^{7} + 3 \, b c^{4} d^{2} f g^{2} x^{6} + 3 \, b d^{2} f^{2} g x + b d^{2} f^{3} + {\left(3 \, b c^{4} d^{2} f^{2} g - 2 \, b c^{2} d^{2} g^{3}\right)} x^{5} + {\left(b c^{4} d^{2} f^{3} - 6 \, b c^{2} d^{2} f g^{2}\right)} x^{4} - {\left(6 \, b c^{2} d^{2} f^{2} g - b d^{2} g^{3}\right)} x^{3} - {\left(2 \, b c^{2} d^{2} f^{3} - 3 \, b d^{2} f g^{2}\right)} x^{2}\right)} \arccos\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*g^3*x^7 + 3*a*c^4*d^2*f*g^2*x^6 + 3*a*d^2*f^2*g*x + a*d^2*f^3 + (3*a*c^4*d^2*f^2*g - 2*a*c^2*d^2*g^3)*x^5 + (a*c^4*d^2*f^3 - 6*a*c^2*d^2*f*g^2)*x^4 - (6*a*c^2*d^2*f^2*g - a*d^2*g^3)*x^3 - (2*a*c^2*d^2*f^3 - 3*a*d^2*f*g^2)*x^2 + (b*c^4*d^2*g^3*x^7 + 3*b*c^4*d^2*f*g^2*x^6 + 3*b*d^2*f^2*g*x + b*d^2*f^3 + (3*b*c^4*d^2*f^2*g - 2*b*c^2*d^2*g^3)*x^5 + (b*c^4*d^2*f^3 - 6*b*c^2*d^2*f*g^2)*x^4 - (6*b*c^2*d^2*f^2*g - b*d^2*g^3)*x^3 - (2*b*c^2*d^2*f^3 - 3*b*d^2*f*g^2)*x^2)*arccos(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
11,0,0,0,0.507133," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} g^{2} x^{6} + 2 \, a c^{4} d^{2} f g x^{5} - 4 \, a c^{2} d^{2} f g x^{3} + 2 \, a d^{2} f g x + a d^{2} f^{2} + {\left(a c^{4} d^{2} f^{2} - 2 \, a c^{2} d^{2} g^{2}\right)} x^{4} - {\left(2 \, a c^{2} d^{2} f^{2} - a d^{2} g^{2}\right)} x^{2} + {\left(b c^{4} d^{2} g^{2} x^{6} + 2 \, b c^{4} d^{2} f g x^{5} - 4 \, b c^{2} d^{2} f g x^{3} + 2 \, b d^{2} f g x + b d^{2} f^{2} + {\left(b c^{4} d^{2} f^{2} - 2 \, b c^{2} d^{2} g^{2}\right)} x^{4} - {\left(2 \, b c^{2} d^{2} f^{2} - b d^{2} g^{2}\right)} x^{2}\right)} \arccos\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*g^2*x^6 + 2*a*c^4*d^2*f*g*x^5 - 4*a*c^2*d^2*f*g*x^3 + 2*a*d^2*f*g*x + a*d^2*f^2 + (a*c^4*d^2*f^2 - 2*a*c^2*d^2*g^2)*x^4 - (2*a*c^2*d^2*f^2 - a*d^2*g^2)*x^2 + (b*c^4*d^2*g^2*x^6 + 2*b*c^4*d^2*f*g*x^5 - 4*b*c^2*d^2*f*g*x^3 + 2*b*d^2*f*g*x + b*d^2*f^2 + (b*c^4*d^2*f^2 - 2*b*c^2*d^2*g^2)*x^4 - (2*b*c^2*d^2*f^2 - b*d^2*g^2)*x^2)*arccos(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
12,0,0,0,0.483596," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x, algorithm=""fricas"")","{\rm integral}\left({\left(a c^{4} d^{2} g x^{5} + a c^{4} d^{2} f x^{4} - 2 \, a c^{2} d^{2} g x^{3} - 2 \, a c^{2} d^{2} f x^{2} + a d^{2} g x + a d^{2} f + {\left(b c^{4} d^{2} g x^{5} + b c^{4} d^{2} f x^{4} - 2 \, b c^{2} d^{2} g x^{3} - 2 \, b c^{2} d^{2} f x^{2} + b d^{2} g x + b d^{2} f\right)} \arccos\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}, x\right)"," ",0,"integral((a*c^4*d^2*g*x^5 + a*c^4*d^2*f*x^4 - 2*a*c^2*d^2*g*x^3 - 2*a*c^2*d^2*f*x^2 + a*d^2*g*x + a*d^2*f + (b*c^4*d^2*g*x^5 + b*c^4*d^2*f*x^4 - 2*b*c^2*d^2*g*x^3 - 2*b*c^2*d^2*f*x^2 + b*d^2*g*x + b*d^2*f)*arccos(c*x))*sqrt(-c^2*d*x^2 + d), x)","F",0
13,0,0,0,0.471034," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(a c^{4} d^{2} x^{4} - 2 \, a c^{2} d^{2} x^{2} + a d^{2} + {\left(b c^{4} d^{2} x^{4} - 2 \, b c^{2} d^{2} x^{2} + b d^{2}\right)} \arccos\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{g x + f}, x\right)"," ",0,"integral((a*c^4*d^2*x^4 - 2*a*c^2*d^2*x^2 + a*d^2 + (b*c^4*d^2*x^4 - 2*b*c^2*d^2*x^2 + b*d^2)*arccos(c*x))*sqrt(-c^2*d*x^2 + d)/(g*x + f), x)","F",0
14,0,0,0,0.449320," ","integrate((g*x+f)^3*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(a g^{3} x^{3} + 3 \, a f g^{2} x^{2} + 3 \, a f^{2} g x + a f^{3} + {\left(b g^{3} x^{3} + 3 \, b f g^{2} x^{2} + 3 \, b f^{2} g x + b f^{3}\right)} \arccos\left(c x\right)\right)} \sqrt{-c^{2} d x^{2} + d}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-(a*g^3*x^3 + 3*a*f*g^2*x^2 + 3*a*f^2*g*x + a*f^3 + (b*g^3*x^3 + 3*b*f*g^2*x^2 + 3*b*f^2*g*x + b*f^3)*arccos(c*x))*sqrt(-c^2*d*x^2 + d)/(c^2*d*x^2 - d), x)","F",0
15,0,0,0,0.470767," ","integrate((g*x+f)^2*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g^{2} x^{2} + 2 \, a f g x + a f^{2} + {\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} \arccos\left(c x\right)\right)}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(a*g^2*x^2 + 2*a*f*g*x + a*f^2 + (b*g^2*x^2 + 2*b*f*g*x + b*f^2)*arccos(c*x))/(c^2*d*x^2 - d), x)","F",0
16,0,0,0,0.450454," ","integrate((g*x+f)*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(a g x + a f + {\left(b g x + b f\right)} \arccos\left(c x\right)\right)}}{c^{2} d x^{2} - d}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(a*g*x + a*f + (b*g*x + b*f)*arccos(c*x))/(c^2*d*x^2 - d), x)","F",0
17,0,0,0,0.437613," ","integrate((a+b*arccos(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \arccos\left(c x\right) + a\right)}}{c^{2} d g x^{3} + c^{2} d f x^{2} - d g x - d f}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccos(c*x) + a)/(c^2*d*g*x^3 + c^2*d*f*x^2 - d*g*x - d*f), x)","F",0
18,0,0,0,0.439645," ","integrate((a+b*arccos(c*x))/(g*x+f)^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} d x^{2} + d} {\left(b \arccos\left(c x\right) + a\right)}}{c^{2} d g^{2} x^{4} + 2 \, c^{2} d f g x^{3} - 2 \, d f g x - d f^{2} + {\left(c^{2} d f^{2} - d g^{2}\right)} x^{2}}, x\right)"," ",0,"integral(-sqrt(-c^2*d*x^2 + d)*(b*arccos(c*x) + a)/(c^2*d*g^2*x^4 + 2*c^2*d*f*g*x^3 - 2*d*f*g*x - d*f^2 + (c^2*d*f^2 - d*g^2)*x^2), x)","F",0
19,0,0,0,0.521905," ","integrate((a+b*arccos(c*x))^n*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \arccos\left(c x\right) + a\right)}^{n} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arccos(c*x) + a)^n*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
20,0,0,0,0.483318," ","integrate((a+b*arccos(c*x))^2*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b^{2} \arccos\left(c x\right)^{2} + 2 \, a b \arccos\left(c x\right) + a^{2}\right)} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b^2*arccos(c*x)^2 + 2*a*b*arccos(c*x) + a^2)*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
21,0,0,0,0.456837," ","integrate((a+b*arccos(c*x))*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} {\left(b \arccos\left(c x\right) + a\right)} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*(b*arccos(c*x) + a)*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
22,0,0,0,0.505345," ","integrate(log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} \log\left({\left(g x + f\right)}^{m} h\right)}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*log((g*x + f)^m*h)/(c^2*x^2 - 1), x)","F",0
23,0,0,0,0.572084," ","integrate(log(h*(g*x+f)^m)/(a+b*arccos(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-c^{2} x^{2} + 1} \log\left({\left(g x + f\right)}^{m} h\right)}{a c^{2} x^{2} + {\left(b c^{2} x^{2} - b\right)} \arccos\left(c x\right) - a}, x\right)"," ",0,"integral(-sqrt(-c^2*x^2 + 1)*log((g*x + f)^m*h)/(a*c^2*x^2 + (b*c^2*x^2 - b)*arccos(c*x) - a), x)","F",0
24,1,94,0,0.467921," ","integrate(x^3*arccos(b*x+a),x, algorithm=""fricas"")","\frac{3 \, {\left(8 \, b^{4} x^{4} - 8 \, a^{4} - 24 \, a^{2} - 3\right)} \arccos\left(b x + a\right) - {\left(6 \, b^{3} x^{3} - 14 \, a b^{2} x^{2} - 50 \, a^{3} + {\left(26 \, a^{2} + 9\right)} b x - 55 \, a\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{96 \, b^{4}}"," ",0,"1/96*(3*(8*b^4*x^4 - 8*a^4 - 24*a^2 - 3)*arccos(b*x + a) - (6*b^3*x^3 - 14*a*b^2*x^2 - 50*a^3 + (26*a^2 + 9)*b*x - 55*a)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/b^4","A",0
25,1,75,0,0.477531," ","integrate(x^2*arccos(b*x+a),x, algorithm=""fricas"")","\frac{3 \, {\left(2 \, b^{3} x^{3} + 2 \, a^{3} + 3 \, a\right)} \arccos\left(b x + a\right) - {\left(2 \, b^{2} x^{2} - 5 \, a b x + 11 \, a^{2} + 4\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{18 \, b^{3}}"," ",0,"1/18*(3*(2*b^3*x^3 + 2*a^3 + 3*a)*arccos(b*x + a) - (2*b^2*x^2 - 5*a*b*x + 11*a^2 + 4)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/b^3","A",0
26,1,59,0,0.457477," ","integrate(x*arccos(b*x+a),x, algorithm=""fricas"")","\frac{{\left(2 \, b^{2} x^{2} - 2 \, a^{2} - 1\right)} \arccos\left(b x + a\right) - \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x - 3 \, a\right)}}{4 \, b^{2}}"," ",0,"1/4*((2*b^2*x^2 - 2*a^2 - 1)*arccos(b*x + a) - sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x - 3*a))/b^2","A",0
27,1,41,0,0.465201," ","integrate(arccos(b*x+a),x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \arccos\left(b x + a\right) - \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{b}"," ",0,"((b*x + a)*arccos(b*x + a) - sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/b","A",0
28,0,0,0,0.446288," ","integrate(arccos(b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arccos\left(b x + a\right)}{x}, x\right)"," ",0,"integral(arccos(b*x + a)/x, x)","F",0
29,1,360,0,0.525053," ","integrate(arccos(b*x+a)/x^2,x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + 1} b x \log\left(\frac{{\left(2 \, a^{2} - 1\right)} b^{2} x^{2} + 2 \, a^{4} + 4 \, {\left(a^{3} - a\right)} b x - 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{-a^{2} + 1} - 4 \, a^{2} + 2}{x^{2}}\right) + 2 \, {\left(a^{2} - 1\right)} x \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x + a\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) + 2 \, {\left(a^{2} - {\left(a^{2} - 1\right)} x - 1\right)} \arccos\left(b x + a\right)}{2 \, {\left(a^{2} - 1\right)} x}, -\frac{\sqrt{a^{2} - 1} b x \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1}}{{\left(a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 2 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1}\right) + {\left(a^{2} - 1\right)} x \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x + a\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) + {\left(a^{2} - {\left(a^{2} - 1\right)} x - 1\right)} \arccos\left(b x + a\right)}{{\left(a^{2} - 1\right)} x}\right]"," ",0,"[-1/2*(sqrt(-a^2 + 1)*b*x*log(((2*a^2 - 1)*b^2*x^2 + 2*a^4 + 4*(a^3 - a)*b*x - 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(-a^2 + 1) - 4*a^2 + 2)/x^2) + 2*(a^2 - 1)*x*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x + a)/(b^2*x^2 + 2*a*b*x + a^2 - 1)) + 2*(a^2 - (a^2 - 1)*x - 1)*arccos(b*x + a))/((a^2 - 1)*x), -(sqrt(a^2 - 1)*b*x*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(a^2 - 1)/((a^2 - 1)*b^2*x^2 + a^4 + 2*(a^3 - a)*b*x - 2*a^2 + 1)) + (a^2 - 1)*x*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x + a)/(b^2*x^2 + 2*a*b*x + a^2 - 1)) + (a^2 - (a^2 - 1)*x - 1)*arccos(b*x + a))/((a^2 - 1)*x)]","B",0
30,1,482,0,0.536950," ","integrate(arccos(b*x+a)/x^3,x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a^{2} + 1} a b^{2} x^{2} \log\left(\frac{{\left(2 \, a^{2} - 1\right)} b^{2} x^{2} + 2 \, a^{4} + 4 \, {\left(a^{3} - a\right)} b x + 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{-a^{2} + 1} - 4 \, a^{2} + 2}{x^{2}}\right) + 2 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2} \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x + a\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) + 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a^{2} - 1\right)} b x + 2 \, {\left(a^{4} - {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2} - 2 \, a^{2} + 1\right)} \arccos\left(b x + a\right)}{4 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2}}, \frac{\sqrt{a^{2} - 1} a b^{2} x^{2} \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1}}{{\left(a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 2 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1}\right) - {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2} \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x + a\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) - \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a^{2} - 1\right)} b x - {\left(a^{4} - {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2} - 2 \, a^{2} + 1\right)} \arccos\left(b x + a\right)}{2 \, {\left(a^{4} - 2 \, a^{2} + 1\right)} x^{2}}\right]"," ",0,"[-1/4*(sqrt(-a^2 + 1)*a*b^2*x^2*log(((2*a^2 - 1)*b^2*x^2 + 2*a^4 + 4*(a^3 - a)*b*x + 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(-a^2 + 1) - 4*a^2 + 2)/x^2) + 2*(a^4 - 2*a^2 + 1)*x^2*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x + a)/(b^2*x^2 + 2*a*b*x + a^2 - 1)) + 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a^2 - 1)*b*x + 2*(a^4 - (a^4 - 2*a^2 + 1)*x^2 - 2*a^2 + 1)*arccos(b*x + a))/((a^4 - 2*a^2 + 1)*x^2), 1/2*(sqrt(a^2 - 1)*a*b^2*x^2*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(a^2 - 1)/((a^2 - 1)*b^2*x^2 + a^4 + 2*(a^3 - a)*b*x - 2*a^2 + 1)) - (a^4 - 2*a^2 + 1)*x^2*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x + a)/(b^2*x^2 + 2*a*b*x + a^2 - 1)) - sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a^2 - 1)*b*x - (a^4 - (a^4 - 2*a^2 + 1)*x^2 - 2*a^2 + 1)*arccos(b*x + a))/((a^4 - 2*a^2 + 1)*x^2)]","B",0
31,1,580,0,0.560077," ","integrate(arccos(b*x+a)/x^4,x, algorithm=""fricas"")","\left[-\frac{{\left(2 \, a^{2} + 1\right)} \sqrt{-a^{2} + 1} b^{3} x^{3} \log\left(\frac{{\left(2 \, a^{2} - 1\right)} b^{2} x^{2} + 2 \, a^{4} + 4 \, {\left(a^{3} - a\right)} b x - 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{-a^{2} + 1} - 4 \, a^{2} + 2}{x^{2}}\right) + 4 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3} \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x + a\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) + 4 \, {\left(a^{6} - 3 \, a^{4} - {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3} + 3 \, a^{2} - 1\right)} \arccos\left(b x + a\right) - 2 \, {\left(3 \, {\left(a^{3} - a\right)} b^{2} x^{2} - {\left(a^{4} - 2 \, a^{2} + 1\right)} b x\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{12 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3}}, -\frac{{\left(2 \, a^{2} + 1\right)} \sqrt{a^{2} - 1} b^{3} x^{3} \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(a b x + a^{2} - 1\right)} \sqrt{a^{2} - 1}}{{\left(a^{2} - 1\right)} b^{2} x^{2} + a^{4} + 2 \, {\left(a^{3} - a\right)} b x - 2 \, a^{2} + 1}\right) + 2 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3} \arctan\left(\frac{\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(b x + a\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2} - 1}\right) + 2 \, {\left(a^{6} - 3 \, a^{4} - {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3} + 3 \, a^{2} - 1\right)} \arccos\left(b x + a\right) - {\left(3 \, {\left(a^{3} - a\right)} b^{2} x^{2} - {\left(a^{4} - 2 \, a^{2} + 1\right)} b x\right)} \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1}}{6 \, {\left(a^{6} - 3 \, a^{4} + 3 \, a^{2} - 1\right)} x^{3}}\right]"," ",0,"[-1/12*((2*a^2 + 1)*sqrt(-a^2 + 1)*b^3*x^3*log(((2*a^2 - 1)*b^2*x^2 + 2*a^4 + 4*(a^3 - a)*b*x - 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(-a^2 + 1) - 4*a^2 + 2)/x^2) + 4*(a^6 - 3*a^4 + 3*a^2 - 1)*x^3*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x + a)/(b^2*x^2 + 2*a*b*x + a^2 - 1)) + 4*(a^6 - 3*a^4 - (a^6 - 3*a^4 + 3*a^2 - 1)*x^3 + 3*a^2 - 1)*arccos(b*x + a) - 2*(3*(a^3 - a)*b^2*x^2 - (a^4 - 2*a^2 + 1)*b*x)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/((a^6 - 3*a^4 + 3*a^2 - 1)*x^3), -1/6*((2*a^2 + 1)*sqrt(a^2 - 1)*b^3*x^3*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(a*b*x + a^2 - 1)*sqrt(a^2 - 1)/((a^2 - 1)*b^2*x^2 + a^4 + 2*(a^3 - a)*b*x - 2*a^2 + 1)) + 2*(a^6 - 3*a^4 + 3*a^2 - 1)*x^3*arctan(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(b*x + a)/(b^2*x^2 + 2*a*b*x + a^2 - 1)) + 2*(a^6 - 3*a^4 - (a^6 - 3*a^4 + 3*a^2 - 1)*x^3 + 3*a^2 - 1)*arccos(b*x + a) - (3*(a^3 - a)*b^2*x^2 - (a^4 - 2*a^2 + 1)*b*x)*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1))/((a^6 - 3*a^4 + 3*a^2 - 1)*x^3)]","B",0
32,1,66,0,0.474888," ","integrate(arccos(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \arccos\left(b x + a\right)^{3} - 6 \, {\left(b x + a\right)} \arccos\left(b x + a\right) - 3 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left(\arccos\left(b x + a\right)^{2} - 2\right)}}{b}"," ",0,"((b*x + a)*arccos(b*x + a)^3 - 6*(b*x + a)*arccos(b*x + a) - 3*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*(arccos(b*x + a)^2 - 2))/b","A",0
33,1,53,0,0.475168," ","integrate(arccos(b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(b x + a\right)} \arccos\left(b x + a\right)^{2} - 2 \, b x - 2 \, \sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} \arccos\left(b x + a\right)}{b}"," ",0,"((b*x + a)*arccos(b*x + a)^2 - 2*b*x - 2*sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*arccos(b*x + a))/b","A",0
34,0,0,0,0.419577," ","integrate(1/arccos(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\arccos\left(b x + a\right)}, x\right)"," ",0,"integral(1/arccos(b*x + a), x)","F",0
35,0,0,0,0.420506," ","integrate(1/arccos(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\arccos\left(b x + a\right)^{2}}, x\right)"," ",0,"integral(arccos(b*x + a)^(-2), x)","F",0
36,0,0,0,0.426074," ","integrate(1/arccos(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{\arccos\left(b x + a\right)^{3}}, x\right)"," ",0,"integral(arccos(b*x + a)^(-3), x)","F",0
37,-2,0,0,0.000000," ","integrate(arccos(b*x+a)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
38,-2,0,0,0.000000," ","integrate(arccos(b*x+a)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
39,-2,0,0,0.000000," ","integrate(arccos(b*x+a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
40,-2,0,0,0.000000," ","integrate(1/arccos(b*x+a)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
41,-2,0,0,0.000000," ","integrate(1/arccos(b*x+a)^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
42,-2,0,0,0.000000," ","integrate(1/arccos(b*x+a)^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
43,-2,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
44,-2,0,0,0.000000," ","integrate(1/(a-b*arccos(d*x+c))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
45,0,0,0,0.447063," ","integrate(arccos(b*x+a)/(a*d/b+d*x),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \arccos\left(b x + a\right)}{b d x + a d}, x\right)"," ",0,"integral(b*arccos(b*x + a)/(b*d*x + a*d), x)","F",0
46,1,26,0,0.455257," ","integrate(arccos(x)*(-x^2+1)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-x^{2} + 1} x \arccos\left(x\right) + \frac{1}{4} \, x^{2} - \frac{1}{4} \, \arccos\left(x\right)^{2}"," ",0,"1/2*sqrt(-x^2 + 1)*x*arccos(x) + 1/4*x^2 - 1/4*arccos(x)^2","A",0
47,1,41,0,0.451251," ","integrate(x^3*arccos(a*x^2),x, algorithm=""fricas"")","-\frac{\sqrt{-a^{2} x^{4} + 1} a x^{2} - {\left(2 \, a^{2} x^{4} - 1\right)} \arccos\left(a x^{2}\right)}{8 \, a^{2}}"," ",0,"-1/8*(sqrt(-a^2*x^4 + 1)*a*x^2 - (2*a^2*x^4 - 1)*arccos(a*x^2))/a^2","A",0
48,0,0,0,0.420546," ","integrate(x^2*arccos(a*x^2),x, algorithm=""fricas"")","{\rm integral}\left(x^{2} \arccos\left(a x^{2}\right), x\right)"," ",0,"integral(x^2*arccos(a*x^2), x)","F",0
49,1,31,0,0.416266," ","integrate(x*arccos(a*x^2),x, algorithm=""fricas"")","\frac{a x^{2} \arccos\left(a x^{2}\right) - \sqrt{-a^{2} x^{4} + 1}}{2 \, a}"," ",0,"1/2*(a*x^2*arccos(a*x^2) - sqrt(-a^2*x^4 + 1))/a","A",0
50,0,0,0,0.446238," ","integrate(arccos(a*x^2),x, algorithm=""fricas"")","{\rm integral}\left(\arccos\left(a x^{2}\right), x\right)"," ",0,"integral(arccos(a*x^2), x)","F",0
51,0,0,0,0.430797," ","integrate(arccos(a*x^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arccos\left(a x^{2}\right)}{x}, x\right)"," ",0,"integral(arccos(a*x^2)/x, x)","F",0
52,0,0,0,0.493271," ","integrate(arccos(a*x^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arccos\left(a x^{2}\right)}{x^{2}}, x\right)"," ",0,"integral(arccos(a*x^2)/x^2, x)","F",0
53,1,93,0,0.446885," ","integrate(x^2*arccos(a/x),x, algorithm=""fricas"")","\frac{1}{6} \, a^{3} \log\left(x \sqrt{-\frac{a^{2} - x^{2}}{x^{2}}} - x\right) - \frac{1}{6} \, a x^{2} \sqrt{-\frac{a^{2} - x^{2}}{x^{2}}} + \frac{1}{3} \, {\left(x^{3} - 1\right)} \arccos\left(\frac{a}{x}\right) + \frac{2}{3} \, \arctan\left(\frac{x \sqrt{-\frac{a^{2} - x^{2}}{x^{2}}} - x}{a}\right)"," ",0,"1/6*a^3*log(x*sqrt(-(a^2 - x^2)/x^2) - x) - 1/6*a*x^2*sqrt(-(a^2 - x^2)/x^2) + 1/3*(x^3 - 1)*arccos(a/x) + 2/3*arctan((x*sqrt(-(a^2 - x^2)/x^2) - x)/a)","A",0
54,1,32,0,0.435230," ","integrate(x*arccos(a/x),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \arccos\left(\frac{a}{x}\right) - \frac{1}{2} \, a x \sqrt{-\frac{a^{2} - x^{2}}{x^{2}}}"," ",0,"1/2*x^2*arccos(a/x) - 1/2*a*x*sqrt(-(a^2 - x^2)/x^2)","A",0
55,1,65,0,0.479602," ","integrate(arccos(a/x),x, algorithm=""fricas"")","{\left(x - 1\right)} \arccos\left(\frac{a}{x}\right) + a \log\left(x \sqrt{-\frac{a^{2} - x^{2}}{x^{2}}} - x\right) + 2 \, \arctan\left(\frac{x \sqrt{-\frac{a^{2} - x^{2}}{x^{2}}} - x}{a}\right)"," ",0,"(x - 1)*arccos(a/x) + a*log(x*sqrt(-(a^2 - x^2)/x^2) - x) + 2*arctan((x*sqrt(-(a^2 - x^2)/x^2) - x)/a)","B",0
56,0,0,0,0.434862," ","integrate(arccos(a/x)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arccos\left(\frac{a}{x}\right)}{x}, x\right)"," ",0,"integral(arccos(a/x)/x, x)","F",0
57,1,36,0,0.422691," ","integrate(arccos(a/x)/x^2,x, algorithm=""fricas"")","-\frac{a \arccos\left(\frac{a}{x}\right) - x \sqrt{-\frac{a^{2} - x^{2}}{x^{2}}}}{a x}"," ",0,"-(a*arccos(a/x) - x*sqrt(-(a^2 - x^2)/x^2))/(a*x)","A",0
58,1,47,0,0.437224," ","integrate(arccos(a/x)/x^3,x, algorithm=""fricas"")","\frac{a x \sqrt{-\frac{a^{2} - x^{2}}{x^{2}}} - {\left(2 \, a^{2} - x^{2}\right)} \arccos\left(\frac{a}{x}\right)}{4 \, a^{2} x^{2}}"," ",0,"1/4*(a*x*sqrt(-(a^2 - x^2)/x^2) - (2*a^2 - x^2)*arccos(a/x))/(a^2*x^2)","A",0
59,1,49,0,0.426482," ","integrate(arccos(a/x)/x^4,x, algorithm=""fricas"")","-\frac{3 \, a^{3} \arccos\left(\frac{a}{x}\right) - {\left(a^{2} x + 2 \, x^{3}\right)} \sqrt{-\frac{a^{2} - x^{2}}{x^{2}}}}{9 \, a^{3} x^{3}}"," ",0,"-1/9*(3*a^3*arccos(a/x) - (a^2*x + 2*x^3)*sqrt(-(a^2 - x^2)/x^2))/(a^3*x^3)","A",0
60,1,36,0,0.434765," ","integrate(x^2*arccos(x^(1/2)),x, algorithm=""fricas"")","-\frac{1}{144} \, {\left(8 \, x^{2} + 10 \, x + 15\right)} \sqrt{x} \sqrt{-x + 1} + \frac{1}{48} \, {\left(16 \, x^{3} - 5\right)} \arccos\left(\sqrt{x}\right)"," ",0,"-1/144*(8*x^2 + 10*x + 15)*sqrt(x)*sqrt(-x + 1) + 1/48*(16*x^3 - 5)*arccos(sqrt(x))","A",0
61,1,31,0,0.433772," ","integrate(x*arccos(x^(1/2)),x, algorithm=""fricas"")","-\frac{1}{16} \, {\left(2 \, x + 3\right)} \sqrt{x} \sqrt{-x + 1} + \frac{1}{16} \, {\left(8 \, x^{2} - 3\right)} \arccos\left(\sqrt{x}\right)"," ",0,"-1/16*(2*x + 3)*sqrt(x)*sqrt(-x + 1) + 1/16*(8*x^2 - 3)*arccos(sqrt(x))","A",0
62,1,24,0,0.442099," ","integrate(arccos(x^(1/2)),x, algorithm=""fricas"")","\frac{1}{2} \, {\left(2 \, x - 1\right)} \arccos\left(\sqrt{x}\right) - \frac{1}{2} \, \sqrt{x} \sqrt{-x + 1}"," ",0,"1/2*(2*x - 1)*arccos(sqrt(x)) - 1/2*sqrt(x)*sqrt(-x + 1)","A",0
63,0,0,0,0.459459," ","integrate(arccos(x^(1/2))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arccos\left(\sqrt{x}\right)}{x}, x\right)"," ",0,"integral(arccos(sqrt(x))/x, x)","F",0
64,1,22,0,0.460851," ","integrate(arccos(x^(1/2))/x^2,x, algorithm=""fricas"")","\frac{\sqrt{x} \sqrt{-x + 1} - \arccos\left(\sqrt{x}\right)}{x}"," ",0,"(sqrt(x)*sqrt(-x + 1) - arccos(sqrt(x)))/x","A",0
65,1,28,0,0.422655," ","integrate(arccos(x^(1/2))/x^3,x, algorithm=""fricas"")","\frac{{\left(2 \, x + 1\right)} \sqrt{x} \sqrt{-x + 1} - 3 \, \arccos\left(\sqrt{x}\right)}{6 \, x^{2}}"," ",0,"1/6*((2*x + 1)*sqrt(x)*sqrt(-x + 1) - 3*arccos(sqrt(x)))/x^2","A",0
66,1,33,0,0.433617," ","integrate(arccos(x^(1/2))/x^4,x, algorithm=""fricas"")","\frac{{\left(8 \, x^{2} + 4 \, x + 3\right)} \sqrt{x} \sqrt{-x + 1} - 15 \, \arccos\left(\sqrt{x}\right)}{45 \, x^{3}}"," ",0,"1/45*((8*x^2 + 4*x + 3)*sqrt(x)*sqrt(-x + 1) - 15*arccos(sqrt(x)))/x^3","A",0
67,1,38,0,0.431308," ","integrate(arccos(x^(1/2))/x^5,x, algorithm=""fricas"")","\frac{{\left(16 \, x^{3} + 8 \, x^{2} + 6 \, x + 5\right)} \sqrt{x} \sqrt{-x + 1} - 35 \, \arccos\left(\sqrt{x}\right)}{140 \, x^{4}}"," ",0,"1/140*((16*x^3 + 8*x^2 + 6*x + 5)*sqrt(x)*sqrt(-x + 1) - 35*arccos(sqrt(x)))/x^4","A",0
68,1,19,0,0.424201," ","integrate(arccos(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","2 \, \sqrt{x} \arccos\left(\sqrt{x}\right) - 2 \, \sqrt{-x + 1}"," ",0,"2*sqrt(x)*arccos(sqrt(x)) - 2*sqrt(-x + 1)","A",0
69,-2,0,0,0.000000," ","integrate(arccos(a*x^n)/x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
70,0,0,0,0.426466," ","integrate(arccos(a*x^5)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{\arccos\left(a x^{5}\right)}{x}, x\right)"," ",0,"integral(arccos(a*x^5)/x, x)","F",0
71,1,48,0,0.433789," ","integrate(x^3*arccos(b*x^4+a),x, algorithm=""fricas"")","\frac{{\left(b x^{4} + a\right)} \arccos\left(b x^{4} + a\right) - \sqrt{-b^{2} x^{8} - 2 \, a b x^{4} - a^{2} + 1}}{4 \, b}"," ",0,"1/4*((b*x^4 + a)*arccos(b*x^4 + a) - sqrt(-b^2*x^8 - 2*a*b*x^4 - a^2 + 1))/b","A",0
72,1,59,0,0.437714," ","integrate(x^(-1+n)*arccos(a+b*x^n),x, algorithm=""fricas"")","\frac{b x^{n} \arccos\left(b x^{n} + a\right) + a \arccos\left(b x^{n} + a\right) - \sqrt{-b^{2} x^{2 \, n} - 2 \, a b x^{n} - a^{2} + 1}}{b n}"," ",0,"(b*x^n*arccos(b*x^n + a) + a*arccos(b*x^n + a) - sqrt(-b^2*x^(2*n) - 2*a*b*x^n - a^2 + 1))/(b*n)","A",0
73,1,207,0,0.449008," ","integrate((a+b*arccos(d*x^2+1))^4,x, algorithm=""fricas"")","\frac{b^{4} d x^{2} \arccos\left(d x^{2} + 1\right)^{4} + 4 \, a b^{3} d x^{2} \arccos\left(d x^{2} + 1\right)^{3} + 6 \, {\left(a^{2} b^{2} - 8 \, b^{4}\right)} d x^{2} \arccos\left(d x^{2} + 1\right)^{2} + 4 \, {\left(a^{3} b - 24 \, a b^{3}\right)} d x^{2} \arccos\left(d x^{2} + 1\right) + {\left(a^{4} - 48 \, a^{2} b^{2} + 384 \, b^{4}\right)} d x^{2} - 8 \, {\left(b^{4} \arccos\left(d x^{2} + 1\right)^{3} + 3 \, a b^{3} \arccos\left(d x^{2} + 1\right)^{2} + a^{3} b - 24 \, a b^{3} + 3 \, {\left(a^{2} b^{2} - 8 \, b^{4}\right)} \arccos\left(d x^{2} + 1\right)\right)} \sqrt{-d^{2} x^{4} - 2 \, d x^{2}}}{d x}"," ",0,"(b^4*d*x^2*arccos(d*x^2 + 1)^4 + 4*a*b^3*d*x^2*arccos(d*x^2 + 1)^3 + 6*(a^2*b^2 - 8*b^4)*d*x^2*arccos(d*x^2 + 1)^2 + 4*(a^3*b - 24*a*b^3)*d*x^2*arccos(d*x^2 + 1) + (a^4 - 48*a^2*b^2 + 384*b^4)*d*x^2 - 8*(b^4*arccos(d*x^2 + 1)^3 + 3*a*b^3*arccos(d*x^2 + 1)^2 + a^3*b - 24*a*b^3 + 3*(a^2*b^2 - 8*b^4)*arccos(d*x^2 + 1))*sqrt(-d^2*x^4 - 2*d*x^2))/(d*x)","A",0
74,1,144,0,0.434219," ","integrate((a+b*arccos(d*x^2+1))^3,x, algorithm=""fricas"")","\frac{b^{3} d x^{2} \arccos\left(d x^{2} + 1\right)^{3} + 3 \, a b^{2} d x^{2} \arccos\left(d x^{2} + 1\right)^{2} + 3 \, {\left(a^{2} b - 8 \, b^{3}\right)} d x^{2} \arccos\left(d x^{2} + 1\right) + {\left(a^{3} - 24 \, a b^{2}\right)} d x^{2} - 6 \, \sqrt{-d^{2} x^{4} - 2 \, d x^{2}} {\left(b^{3} \arccos\left(d x^{2} + 1\right)^{2} + 2 \, a b^{2} \arccos\left(d x^{2} + 1\right) + a^{2} b - 8 \, b^{3}\right)}}{d x}"," ",0,"(b^3*d*x^2*arccos(d*x^2 + 1)^3 + 3*a*b^2*d*x^2*arccos(d*x^2 + 1)^2 + 3*(a^2*b - 8*b^3)*d*x^2*arccos(d*x^2 + 1) + (a^3 - 24*a*b^2)*d*x^2 - 6*sqrt(-d^2*x^4 - 2*d*x^2)*(b^3*arccos(d*x^2 + 1)^2 + 2*a*b^2*arccos(d*x^2 + 1) + a^2*b - 8*b^3))/(d*x)","A",0
75,1,91,0,0.454644," ","integrate((a+b*arccos(d*x^2+1))^2,x, algorithm=""fricas"")","\frac{b^{2} d x^{2} \arccos\left(d x^{2} + 1\right)^{2} + 2 \, a b d x^{2} \arccos\left(d x^{2} + 1\right) + {\left(a^{2} - 8 \, b^{2}\right)} d x^{2} - 4 \, \sqrt{-d^{2} x^{4} - 2 \, d x^{2}} {\left(b^{2} \arccos\left(d x^{2} + 1\right) + a b\right)}}{d x}"," ",0,"(b^2*d*x^2*arccos(d*x^2 + 1)^2 + 2*a*b*d*x^2*arccos(d*x^2 + 1) + (a^2 - 8*b^2)*d*x^2 - 4*sqrt(-d^2*x^4 - 2*d*x^2)*(b^2*arccos(d*x^2 + 1) + a*b))/(d*x)","A",0
76,1,48,0,0.420092," ","integrate(a+b*arccos(d*x^2+1),x, algorithm=""fricas"")","\frac{b d x^{2} \arccos\left(d x^{2} + 1\right) + a d x^{2} - 2 \, \sqrt{-d^{2} x^{4} - 2 \, d x^{2}} b}{d x}"," ",0,"(b*d*x^2*arccos(d*x^2 + 1) + a*d*x^2 - 2*sqrt(-d^2*x^4 - 2*d*x^2)*b)/(d*x)","A",0
77,0,0,0,0.417925," ","integrate(1/(a+b*arccos(d*x^2+1)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \arccos\left(d x^{2} + 1\right) + a}, x\right)"," ",0,"integral(1/(b*arccos(d*x^2 + 1) + a), x)","F",0
78,0,0,0,0.421495," ","integrate(1/(a+b*arccos(d*x^2+1))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \arccos\left(d x^{2} + 1\right)^{2} + 2 \, a b \arccos\left(d x^{2} + 1\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arccos(d*x^2 + 1)^2 + 2*a*b*arccos(d*x^2 + 1) + a^2), x)","F",0
79,0,0,0,0.422514," ","integrate(1/(a+b*arccos(d*x^2+1))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{3} \arccos\left(d x^{2} + 1\right)^{3} + 3 \, a b^{2} \arccos\left(d x^{2} + 1\right)^{2} + 3 \, a^{2} b \arccos\left(d x^{2} + 1\right) + a^{3}}, x\right)"," ",0,"integral(1/(b^3*arccos(d*x^2 + 1)^3 + 3*a*b^2*arccos(d*x^2 + 1)^2 + 3*a^2*b*arccos(d*x^2 + 1) + a^3), x)","F",0
80,1,207,0,0.432783," ","integrate((a+b*arccos(d*x^2-1))^4,x, algorithm=""fricas"")","\frac{b^{4} d x^{2} \arccos\left(d x^{2} - 1\right)^{4} + 4 \, a b^{3} d x^{2} \arccos\left(d x^{2} - 1\right)^{3} + 6 \, {\left(a^{2} b^{2} - 8 \, b^{4}\right)} d x^{2} \arccos\left(d x^{2} - 1\right)^{2} + 4 \, {\left(a^{3} b - 24 \, a b^{3}\right)} d x^{2} \arccos\left(d x^{2} - 1\right) + {\left(a^{4} - 48 \, a^{2} b^{2} + 384 \, b^{4}\right)} d x^{2} - 8 \, {\left(b^{4} \arccos\left(d x^{2} - 1\right)^{3} + 3 \, a b^{3} \arccos\left(d x^{2} - 1\right)^{2} + a^{3} b - 24 \, a b^{3} + 3 \, {\left(a^{2} b^{2} - 8 \, b^{4}\right)} \arccos\left(d x^{2} - 1\right)\right)} \sqrt{-d^{2} x^{4} + 2 \, d x^{2}}}{d x}"," ",0,"(b^4*d*x^2*arccos(d*x^2 - 1)^4 + 4*a*b^3*d*x^2*arccos(d*x^2 - 1)^3 + 6*(a^2*b^2 - 8*b^4)*d*x^2*arccos(d*x^2 - 1)^2 + 4*(a^3*b - 24*a*b^3)*d*x^2*arccos(d*x^2 - 1) + (a^4 - 48*a^2*b^2 + 384*b^4)*d*x^2 - 8*(b^4*arccos(d*x^2 - 1)^3 + 3*a*b^3*arccos(d*x^2 - 1)^2 + a^3*b - 24*a*b^3 + 3*(a^2*b^2 - 8*b^4)*arccos(d*x^2 - 1))*sqrt(-d^2*x^4 + 2*d*x^2))/(d*x)","A",0
81,1,144,0,0.432112," ","integrate((a+b*arccos(d*x^2-1))^3,x, algorithm=""fricas"")","\frac{b^{3} d x^{2} \arccos\left(d x^{2} - 1\right)^{3} + 3 \, a b^{2} d x^{2} \arccos\left(d x^{2} - 1\right)^{2} + 3 \, {\left(a^{2} b - 8 \, b^{3}\right)} d x^{2} \arccos\left(d x^{2} - 1\right) + {\left(a^{3} - 24 \, a b^{2}\right)} d x^{2} - 6 \, \sqrt{-d^{2} x^{4} + 2 \, d x^{2}} {\left(b^{3} \arccos\left(d x^{2} - 1\right)^{2} + 2 \, a b^{2} \arccos\left(d x^{2} - 1\right) + a^{2} b - 8 \, b^{3}\right)}}{d x}"," ",0,"(b^3*d*x^2*arccos(d*x^2 - 1)^3 + 3*a*b^2*d*x^2*arccos(d*x^2 - 1)^2 + 3*(a^2*b - 8*b^3)*d*x^2*arccos(d*x^2 - 1) + (a^3 - 24*a*b^2)*d*x^2 - 6*sqrt(-d^2*x^4 + 2*d*x^2)*(b^3*arccos(d*x^2 - 1)^2 + 2*a*b^2*arccos(d*x^2 - 1) + a^2*b - 8*b^3))/(d*x)","A",0
82,1,91,0,0.426757," ","integrate((a+b*arccos(d*x^2-1))^2,x, algorithm=""fricas"")","\frac{b^{2} d x^{2} \arccos\left(d x^{2} - 1\right)^{2} + 2 \, a b d x^{2} \arccos\left(d x^{2} - 1\right) + {\left(a^{2} - 8 \, b^{2}\right)} d x^{2} - 4 \, \sqrt{-d^{2} x^{4} + 2 \, d x^{2}} {\left(b^{2} \arccos\left(d x^{2} - 1\right) + a b\right)}}{d x}"," ",0,"(b^2*d*x^2*arccos(d*x^2 - 1)^2 + 2*a*b*d*x^2*arccos(d*x^2 - 1) + (a^2 - 8*b^2)*d*x^2 - 4*sqrt(-d^2*x^4 + 2*d*x^2)*(b^2*arccos(d*x^2 - 1) + a*b))/(d*x)","A",0
83,1,48,0,0.433711," ","integrate(a+b*arccos(d*x^2-1),x, algorithm=""fricas"")","\frac{b d x^{2} \arccos\left(d x^{2} - 1\right) + a d x^{2} - 2 \, \sqrt{-d^{2} x^{4} + 2 \, d x^{2}} b}{d x}"," ",0,"(b*d*x^2*arccos(d*x^2 - 1) + a*d*x^2 - 2*sqrt(-d^2*x^4 + 2*d*x^2)*b)/(d*x)","A",0
84,0,0,0,0.449942," ","integrate(1/(a+b*arccos(d*x^2-1)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \arccos\left(d x^{2} - 1\right) + a}, x\right)"," ",0,"integral(1/(b*arccos(d*x^2 - 1) + a), x)","F",0
85,0,0,0,0.422013," ","integrate(1/(a+b*arccos(d*x^2-1))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \arccos\left(d x^{2} - 1\right)^{2} + 2 \, a b \arccos\left(d x^{2} - 1\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*arccos(d*x^2 - 1)^2 + 2*a*b*arccos(d*x^2 - 1) + a^2), x)","F",0
86,0,0,0,0.423185," ","integrate(1/(a+b*arccos(d*x^2-1))^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{3} \arccos\left(d x^{2} - 1\right)^{3} + 3 \, a b^{2} \arccos\left(d x^{2} - 1\right)^{2} + 3 \, a^{2} b \arccos\left(d x^{2} - 1\right) + a^{3}}, x\right)"," ",0,"integral(1/(b^3*arccos(d*x^2 - 1)^3 + 3*a*b^2*arccos(d*x^2 - 1)^2 + 3*a^2*b*arccos(d*x^2 - 1) + a^3), x)","F",0
87,-2,0,0,0.000000," ","integrate((a+b*arccos(d*x^2+1))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
88,-2,0,0,0.000000," ","integrate((a+b*arccos(d*x^2+1))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
89,-2,0,0,0.000000," ","integrate((a+b*arccos(d*x^2+1))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
90,-2,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
91,-2,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
92,-2,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
93,-2,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
94,-2,0,0,0.000000," ","integrate((a+b*arccos(d*x^2-1))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
95,-2,0,0,0.000000," ","integrate((a+b*arccos(d*x^2-1))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
96,-2,0,0,0.000000," ","integrate((a+b*arccos(d*x^2-1))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
97,-2,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
98,-2,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1))^(3/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
99,-2,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1))^(5/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
100,-2,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1))^(7/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
101,0,0,0,0.532197," ","integrate((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{{\left(b \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{n}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^n/(c^2*x^2 - 1), x)","F",0
102,0,0,0,0.454423," ","integrate((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b^{3} \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{3} + 3 \, a b^{2} \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} + 3 \, a^{2} b \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a^{3}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b^3*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1))^3 + 3*a*b^2*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 + 3*a^2*b*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a^3)/(c^2*x^2 - 1), x)","F",0
103,0,0,0,0.465029," ","integrate((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b^{2} \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} + 2 \, a b \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a^{2}}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b^2*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 + 2*a*b*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a^2)/(c^2*x^2 - 1), x)","F",0
104,0,0,0,0.438670," ","integrate((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{b \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a}{c^{2} x^{2} - 1}, x\right)"," ",0,"integral(-(b*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)/(c^2*x^2 - 1), x)","F",0
105,0,0,0,0.434888," ","integrate(1/(-c^2*x^2+1)/(a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{a c^{2} x^{2} + {\left(b c^{2} x^{2} - b\right)} \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) - a}, x\right)"," ",0,"integral(-1/(a*c^2*x^2 + (b*c^2*x^2 - b)*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) - a), x)","F",0
106,0,0,0,0.465453," ","integrate(1/(-c^2*x^2+1)/(a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{a^{2} c^{2} x^{2} + {\left(b^{2} c^{2} x^{2} - b^{2}\right)} \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)^{2} - a^{2} + 2 \, {\left(a b c^{2} x^{2} - a b\right)} \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right)}, x\right)"," ",0,"integral(-1/(a^2*c^2*x^2 + (b^2*c^2*x^2 - b^2)*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1))^2 - a^2 + 2*(a*b*c^2*x^2 - a*b)*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1))), x)","F",0
107,-2,0,0,0.000000," ","integrate(arccos(c*exp(b*x+a)),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
108,1,55,0,0.471738," ","integrate(exp(arccos(a*x))*x^3,x, algorithm=""fricas"")","\frac{{\left(20 \, a^{4} x^{4} - 3 \, a^{2} x^{2} - {\left(5 \, a^{3} x^{3} + 6 \, a x\right)} \sqrt{-a^{2} x^{2} + 1} - 6\right)} e^{\left(\arccos\left(a x\right)\right)}}{85 \, a^{4}}"," ",0,"1/85*(20*a^4*x^4 - 3*a^2*x^2 - (5*a^3*x^3 + 6*a*x)*sqrt(-a^2*x^2 + 1) - 6)*e^(arccos(a*x))/a^4","A",0
109,1,46,0,0.463010," ","integrate(exp(arccos(a*x))*x^2,x, algorithm=""fricas"")","\frac{{\left(3 \, a^{3} x^{3} - a x - {\left(a^{2} x^{2} + 1\right)} \sqrt{-a^{2} x^{2} + 1}\right)} e^{\left(\arccos\left(a x\right)\right)}}{10 \, a^{3}}"," ",0,"1/10*(3*a^3*x^3 - a*x - (a^2*x^2 + 1)*sqrt(-a^2*x^2 + 1))*e^(arccos(a*x))/a^3","A",0
110,1,36,0,0.454067," ","integrate(exp(arccos(a*x))*x,x, algorithm=""fricas"")","\frac{{\left(2 \, a^{2} x^{2} - \sqrt{-a^{2} x^{2} + 1} a x - 1\right)} e^{\left(\arccos\left(a x\right)\right)}}{5 \, a^{2}}"," ",0,"1/5*(2*a^2*x^2 - sqrt(-a^2*x^2 + 1)*a*x - 1)*e^(arccos(a*x))/a^2","A",0
111,1,28,0,0.471396," ","integrate(exp(arccos(a*x)),x, algorithm=""fricas"")","\frac{{\left(a x - \sqrt{-a^{2} x^{2} + 1}\right)} e^{\left(\arccos\left(a x\right)\right)}}{2 \, a}"," ",0,"1/2*(a*x - sqrt(-a^2*x^2 + 1))*e^(arccos(a*x))/a","A",0
112,0,0,0,0.480044," ","integrate(exp(arccos(a*x))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\arccos\left(a x\right)\right)}}{x}, x\right)"," ",0,"integral(e^(arccos(a*x))/x, x)","F",0
113,0,0,0,0.479512," ","integrate(exp(arccos(a*x))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\arccos\left(a x\right)\right)}}{x^{2}}, x\right)"," ",0,"integral(e^(arccos(a*x))/x^2, x)","F",0
114,1,140,0,0.483671," ","integrate(arccos(c/(b*x+a)),x, algorithm=""fricas"")","\frac{b x \arccos\left(\frac{c}{b x + a}\right) + 2 \, a \arctan\left(-\frac{b x - {\left(b x + a\right)} \sqrt{\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}} + a}{c}\right) + c \log\left(-b x + {\left(b x + a\right)} \sqrt{\frac{b^{2} x^{2} + 2 \, a b x + a^{2} - c^{2}}{b^{2} x^{2} + 2 \, a b x + a^{2}}} - a\right)}{b}"," ",0,"(b*x*arccos(c/(b*x + a)) + 2*a*arctan(-(b*x - (b*x + a)*sqrt((b^2*x^2 + 2*a*b*x + a^2 - c^2)/(b^2*x^2 + 2*a*b*x + a^2)) + a)/c) + c*log(-b*x + (b*x + a)*sqrt((b^2*x^2 + 2*a*b*x + a^2 - c^2)/(b^2*x^2 + 2*a*b*x + a^2)) - a))/b","B",0
115,-2,0,0,0.000000," ","integrate(x/(-x^2+1)^(1/2)/arccos(x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
116,0,0,0,0.454716," ","integrate(x/arccos(x)/(-x^2+1)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{\sqrt{-x^{2} + 1} x}{{\left(x^{2} - 1\right)} \arccos\left(x\right)}, x\right)"," ",0,"integral(-sqrt(-x^2 + 1)*x/((x^2 - 1)*arccos(x)), x)","F",0
117,1,42,0,0.475341," ","integrate(arccos((b*x^2+1)^(1/2))^n/(b*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{-b x^{2}} \arccos\left(\sqrt{b x^{2} + 1}\right)^{n} \arccos\left(\sqrt{b x^{2} + 1}\right)}{{\left(b n + b\right)} x}"," ",0,"-sqrt(-b*x^2)*arccos(sqrt(b*x^2 + 1))^n*arccos(sqrt(b*x^2 + 1))/((b*n + b)*x)","A",0
118,1,27,0,0.436817," ","integrate(1/arccos((b*x^2+1)^(1/2))/(b*x^2+1)^(1/2),x, algorithm=""fricas"")","-\frac{\sqrt{-b x^{2}} \log\left(\arccos\left(\sqrt{b x^{2} + 1}\right)\right)}{b x}"," ",0,"-sqrt(-b*x^2)*log(arccos(sqrt(b*x^2 + 1)))/(b*x)","A",0
