1,-2,0,0,0.000000," ","integrate((g*x+f)^3*(a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
2,-2,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
3,-2,0,0,0.000000," ","integrate((g*x+f)*(a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
4,-2,0,0,0.000000," ","integrate((a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
5,-2,0,0,0.000000," ","integrate((a+b*arccos(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f)^2,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
6,-2,0,0,0.000000," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
7,-2,0,0,0.000000," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
8,-2,0,0,0.000000," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
9,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))/(g*x+f),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
10,-2,0,0,0.000000," ","integrate((g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
11,-2,0,0,0.000000," ","integrate((g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
12,-2,0,0,0.000000," ","integrate((g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
13,-2,0,0,0.000000," ","integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))/(g*x+f),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
14,0,0,0,0.000000," ","integrate((g*x+f)^3*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{3} {\left(b \arccos\left(c x\right) + a\right)}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((g*x + f)^3*(b*arccos(c*x) + a)/sqrt(-c^2*d*x^2 + d), x)","F",0
15,0,0,0,0.000000," ","integrate((g*x+f)^2*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)}^{2} {\left(b \arccos\left(c x\right) + a\right)}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((g*x + f)^2*(b*arccos(c*x) + a)/sqrt(-c^2*d*x^2 + d), x)","F",0
16,0,0,0,0.000000," ","integrate((g*x+f)*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(g x + f\right)} {\left(b \arccos\left(c x\right) + a\right)}}{\sqrt{-c^{2} d x^{2} + d}}\,{d x}"," ",0,"integrate((g*x + f)*(b*arccos(c*x) + a)/sqrt(-c^2*d*x^2 + d), x)","F",0
17,-2,0,0,0.000000," ","integrate((a+b*arccos(c*x))/(g*x+f)/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^3+t_nostep)]index.cc index_m i_lex_is_greater Error: Bad Argument Value","F(-2)",0
18,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))/(g*x+f)^2/(-c^2*d*x^2+d)^(1/2),x, algorithm=""giac"")","\int \frac{b \arccos\left(c x\right) + a}{\sqrt{-c^{2} d x^{2} + d} {\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)/(sqrt(-c^2*d*x^2 + d)*(g*x + f)^2), x)","F",0
19,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^n*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{n} \log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{-c^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^n*log((g*x + f)^m*h)/sqrt(-c^2*x^2 + 1), x)","F",0
20,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))^2*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)}^{2} \log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{-c^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)^2*log((g*x + f)^m*h)/sqrt(-c^2*x^2 + 1), x)","F",0
21,0,0,0,0.000000," ","integrate((a+b*arccos(c*x))*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \arccos\left(c x\right) + a\right)} \log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{-c^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate((b*arccos(c*x) + a)*log((g*x + f)^m*h)/sqrt(-c^2*x^2 + 1), x)","F",0
22,0,0,0,0.000000," ","integrate(log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{-c^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate(log((g*x + f)^m*h)/sqrt(-c^2*x^2 + 1), x)","F",0
23,0,0,0,0.000000," ","integrate(log(h*(g*x+f)^m)/(a+b*arccos(c*x))/(-c^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\log\left({\left(g x + f\right)}^{m} h\right)}{\sqrt{-c^{2} x^{2} + 1} {\left(b \arccos\left(c x\right) + a\right)}}\,{d x}"," ",0,"integrate(log((g*x + f)^m*h)/(sqrt(-c^2*x^2 + 1)*(b*arccos(c*x) + a)), x)","F",0
24,1,242,0,0.715480," ","integrate(x^3*arccos(b*x+a),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{4} \arccos\left(b x + a\right)}{4 \, b^{4}} - \frac{{\left(b x + a\right)}^{3} a \arccos\left(b x + a\right)}{b^{4}} + \frac{3 \, {\left(b x + a\right)}^{2} a^{2} \arccos\left(b x + a\right)}{2 \, b^{4}} - \frac{{\left(b x + a\right)} a^{3} \arccos\left(b x + a\right)}{b^{4}} - \frac{\sqrt{-{\left(b x + a\right)}^{2} + 1} {\left(b x + a\right)}^{3}}{16 \, b^{4}} + \frac{\sqrt{-{\left(b x + a\right)}^{2} + 1} {\left(b x + a\right)}^{2} a}{3 \, b^{4}} - \frac{3 \, \sqrt{-{\left(b x + a\right)}^{2} + 1} {\left(b x + a\right)} a^{2}}{4 \, b^{4}} + \frac{\sqrt{-{\left(b x + a\right)}^{2} + 1} a^{3}}{b^{4}} - \frac{3 \, a^{2} \arccos\left(b x + a\right)}{4 \, b^{4}} - \frac{3 \, \sqrt{-{\left(b x + a\right)}^{2} + 1} {\left(b x + a\right)}}{32 \, b^{4}} + \frac{2 \, \sqrt{-{\left(b x + a\right)}^{2} + 1} a}{3 \, b^{4}} - \frac{3 \, \arccos\left(b x + a\right)}{32 \, b^{4}}"," ",0,"1/4*(b*x + a)^4*arccos(b*x + a)/b^4 - (b*x + a)^3*a*arccos(b*x + a)/b^4 + 3/2*(b*x + a)^2*a^2*arccos(b*x + a)/b^4 - (b*x + a)*a^3*arccos(b*x + a)/b^4 - 1/16*sqrt(-(b*x + a)^2 + 1)*(b*x + a)^3/b^4 + 1/3*sqrt(-(b*x + a)^2 + 1)*(b*x + a)^2*a/b^4 - 3/4*sqrt(-(b*x + a)^2 + 1)*(b*x + a)*a^2/b^4 + sqrt(-(b*x + a)^2 + 1)*a^3/b^4 - 3/4*a^2*arccos(b*x + a)/b^4 - 3/32*sqrt(-(b*x + a)^2 + 1)*(b*x + a)/b^4 + 2/3*sqrt(-(b*x + a)^2 + 1)*a/b^4 - 3/32*arccos(b*x + a)/b^4","B",0
25,1,156,0,1.934580," ","integrate(x^2*arccos(b*x+a),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{3} \arccos\left(b x + a\right)}{3 \, b^{3}} - \frac{{\left(b x + a\right)}^{2} a \arccos\left(b x + a\right)}{b^{3}} + \frac{{\left(b x + a\right)} a^{2} \arccos\left(b x + a\right)}{b^{3}} - \frac{\sqrt{-{\left(b x + a\right)}^{2} + 1} {\left(b x + a\right)}^{2}}{9 \, b^{3}} + \frac{\sqrt{-{\left(b x + a\right)}^{2} + 1} {\left(b x + a\right)} a}{2 \, b^{3}} - \frac{\sqrt{-{\left(b x + a\right)}^{2} + 1} a^{2}}{b^{3}} + \frac{a \arccos\left(b x + a\right)}{2 \, b^{3}} - \frac{2 \, \sqrt{-{\left(b x + a\right)}^{2} + 1}}{9 \, b^{3}}"," ",0,"1/3*(b*x + a)^3*arccos(b*x + a)/b^3 - (b*x + a)^2*a*arccos(b*x + a)/b^3 + (b*x + a)*a^2*arccos(b*x + a)/b^3 - 1/9*sqrt(-(b*x + a)^2 + 1)*(b*x + a)^2/b^3 + 1/2*sqrt(-(b*x + a)^2 + 1)*(b*x + a)*a/b^3 - sqrt(-(b*x + a)^2 + 1)*a^2/b^3 + 1/2*a*arccos(b*x + a)/b^3 - 2/9*sqrt(-(b*x + a)^2 + 1)/b^3","A",0
26,1,88,0,0.943626," ","integrate(x*arccos(b*x+a),x, algorithm=""giac"")","\frac{{\left(b x + a\right)}^{2} \arccos\left(b x + a\right)}{2 \, b^{2}} - \frac{{\left(b x + a\right)} a \arccos\left(b x + a\right)}{b^{2}} - \frac{\sqrt{-{\left(b x + a\right)}^{2} + 1} {\left(b x + a\right)}}{4 \, b^{2}} + \frac{\sqrt{-{\left(b x + a\right)}^{2} + 1} a}{b^{2}} - \frac{\arccos\left(b x + a\right)}{4 \, b^{2}}"," ",0,"1/2*(b*x + a)^2*arccos(b*x + a)/b^2 - (b*x + a)*a*arccos(b*x + a)/b^2 - 1/4*sqrt(-(b*x + a)^2 + 1)*(b*x + a)/b^2 + sqrt(-(b*x + a)^2 + 1)*a/b^2 - 1/4*arccos(b*x + a)/b^2","A",0
27,1,32,0,1.975775," ","integrate(arccos(b*x+a),x, algorithm=""giac"")","\frac{{\left(b x + a\right)} \arccos\left(b x + a\right) - \sqrt{-{\left(b x + a\right)}^{2} + 1}}{b}"," ",0,"((b*x + a)*arccos(b*x + a) - sqrt(-(b*x + a)^2 + 1))/b","A",0
28,0,0,0,0.000000," ","integrate(arccos(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\arccos\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(arccos(b*x + a)/x, x)","F",0
29,1,79,0,2.988954," ","integrate(arccos(b*x+a)/x^2,x, algorithm=""giac"")","-\frac{2 \, b^{2} \arctan\left(\frac{\frac{{\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)} a}{b^{2} x + a b} - 1}{\sqrt{a^{2} - 1}}\right)}{\sqrt{a^{2} - 1} {\left| b \right|}} - \frac{\arccos\left(b x + a\right)}{x}"," ",0,"-2*b^2*arctan(((sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)*a/(b^2*x + a*b) - 1)/sqrt(a^2 - 1))/(sqrt(a^2 - 1)*abs(b)) - arccos(b*x + a)/x","A",0
30,1,242,0,0.299480," ","integrate(arccos(b*x+a)/x^3,x, algorithm=""giac"")","{\left(\frac{a b^{2} \arctan\left(\frac{\frac{{\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)} a}{b^{2} x + a b} - 1}{\sqrt{a^{2} - 1}}\right)}{{\left(a^{2} {\left| b \right|} - {\left| b \right|}\right)} \sqrt{a^{2} - 1}} - \frac{a b^{2} - \frac{{\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)} b^{2}}{b^{2} x + a b}}{{\left(a^{3} {\left| b \right|} - a {\left| b \right|}\right)} {\left(\frac{{\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)}^{2} a}{{\left(b^{2} x + a b\right)}^{2}} + a - \frac{2 \, {\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)}}{b^{2} x + a b}\right)}}\right)} b - \frac{\arccos\left(b x + a\right)}{2 \, x^{2}}"," ",0,"(a*b^2*arctan(((sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)*a/(b^2*x + a*b) - 1)/sqrt(a^2 - 1))/((a^2*abs(b) - abs(b))*sqrt(a^2 - 1)) - (a*b^2 - (sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)*b^2/(b^2*x + a*b))/((a^3*abs(b) - a*abs(b))*((sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)^2*a/(b^2*x + a*b)^2 + a - 2*(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)/(b^2*x + a*b))))*b - 1/2*arccos(b*x + a)/x^2","B",0
31,1,557,0,0.279881," ","integrate(arccos(b*x+a)/x^4,x, algorithm=""giac"")","-\frac{1}{3} \, b {\left(\frac{{\left(2 \, a^{2} b^{3} + b^{3}\right)} \arctan\left(\frac{\frac{{\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)} a}{b^{2} x + a b} - 1}{\sqrt{a^{2} - 1}}\right)}{{\left(a^{4} {\left| b \right|} - 2 \, a^{2} {\left| b \right|} + {\left| b \right|}\right)} \sqrt{a^{2} - 1}} - \frac{\frac{4 \, {\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)}^{2} a^{4} b^{3}}{{\left(b^{2} x + a b\right)}^{2}} + 4 \, a^{4} b^{3} - \frac{11 \, {\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)} a^{3} b^{3}}{b^{2} x + a b} - \frac{5 \, {\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)}^{3} a^{3} b^{3}}{{\left(b^{2} x + a b\right)}^{3}} + \frac{7 \, {\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)}^{2} a^{2} b^{3}}{{\left(b^{2} x + a b\right)}^{2}} - a^{2} b^{3} + \frac{2 \, {\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)} a b^{3}}{b^{2} x + a b} + \frac{2 \, {\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)}^{3} a b^{3}}{{\left(b^{2} x + a b\right)}^{3}} - \frac{2 \, {\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)}^{2} b^{3}}{{\left(b^{2} x + a b\right)}^{2}}}{{\left(a^{6} {\left| b \right|} - 2 \, a^{4} {\left| b \right|} + a^{2} {\left| b \right|}\right)} {\left(\frac{{\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)}^{2} a}{{\left(b^{2} x + a b\right)}^{2}} + a - \frac{2 \, {\left(\sqrt{-b^{2} x^{2} - 2 \, a b x - a^{2} + 1} {\left| b \right|} + b\right)}}{b^{2} x + a b}\right)}^{2}}\right)} - \frac{\arccos\left(b x + a\right)}{3 \, x^{3}}"," ",0,"-1/3*b*((2*a^2*b^3 + b^3)*arctan(((sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)*a/(b^2*x + a*b) - 1)/sqrt(a^2 - 1))/((a^4*abs(b) - 2*a^2*abs(b) + abs(b))*sqrt(a^2 - 1)) - (4*(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)^2*a^4*b^3/(b^2*x + a*b)^2 + 4*a^4*b^3 - 11*(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)*a^3*b^3/(b^2*x + a*b) - 5*(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)^3*a^3*b^3/(b^2*x + a*b)^3 + 7*(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)^2*a^2*b^3/(b^2*x + a*b)^2 - a^2*b^3 + 2*(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)*a*b^3/(b^2*x + a*b) + 2*(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)^3*a*b^3/(b^2*x + a*b)^3 - 2*(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)^2*b^3/(b^2*x + a*b)^2)/((a^6*abs(b) - 2*a^4*abs(b) + a^2*abs(b))*((sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)^2*a/(b^2*x + a*b)^2 + a - 2*(sqrt(-b^2*x^2 - 2*a*b*x - a^2 + 1)*abs(b) + b)/(b^2*x + a*b))^2)) - 1/3*arccos(b*x + a)/x^3","B",0
32,1,78,0,0.184436," ","integrate(arccos(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(b x + a\right)} \arccos\left(b x + a\right)^{3}}{b} - \frac{3 \, \sqrt{-{\left(b x + a\right)}^{2} + 1} \arccos\left(b x + a\right)^{2}}{b} - \frac{6 \, {\left(b x + a\right)} \arccos\left(b x + a\right)}{b} + \frac{6 \, \sqrt{-{\left(b x + a\right)}^{2} + 1}}{b}"," ",0,"(b*x + a)*arccos(b*x + a)^3/b - 3*sqrt(-(b*x + a)^2 + 1)*arccos(b*x + a)^2/b - 6*(b*x + a)*arccos(b*x + a)/b + 6*sqrt(-(b*x + a)^2 + 1)/b","A",0
33,1,52,0,2.141338," ","integrate(arccos(b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(b x + a\right)} \arccos\left(b x + a\right)^{2}}{b} - \frac{2 \, \sqrt{-{\left(b x + a\right)}^{2} + 1} \arccos\left(b x + a\right)}{b} - \frac{2 \, {\left(b x + a\right)}}{b}"," ",0,"(b*x + a)*arccos(b*x + a)^2/b - 2*sqrt(-(b*x + a)^2 + 1)*arccos(b*x + a)/b - 2*(b*x + a)/b","A",0
34,1,12,0,0.196045," ","integrate(1/arccos(b*x+a),x, algorithm=""giac"")","-\frac{\operatorname{Si}\left(\arccos\left(b x + a\right)\right)}{b}"," ",0,"-sin_integral(arccos(b*x + a))/b","A",0
35,1,38,0,2.781594," ","integrate(1/arccos(b*x+a)^2,x, algorithm=""giac"")","-\frac{\operatorname{Ci}\left(\arccos\left(b x + a\right)\right)}{b} + \frac{\sqrt{-{\left(b x + a\right)}^{2} + 1}}{b \arccos\left(b x + a\right)}"," ",0,"-cos_integral(arccos(b*x + a))/b + sqrt(-(b*x + a)^2 + 1)/(b*arccos(b*x + a))","A",0
36,1,57,0,0.202905," ","integrate(1/arccos(b*x+a)^3,x, algorithm=""giac"")","\frac{\operatorname{Si}\left(\arccos\left(b x + a\right)\right)}{2 \, b} + \frac{b x + a}{2 \, b \arccos\left(b x + a\right)} + \frac{\sqrt{-{\left(b x + a\right)}^{2} + 1}}{2 \, b \arccos\left(b x + a\right)^{2}}"," ",0,"1/2*sin_integral(arccos(b*x + a))/b + 1/2*(b*x + a)/(b*arccos(b*x + a)) + 1/2*sqrt(-(b*x + a)^2 + 1)/(b*arccos(b*x + a)^2)","A",0
37,1,209,0,0.456060," ","integrate(arccos(b*x+a)^(5/2),x, algorithm=""giac"")","\frac{5 \, i \arccos\left(b x + a\right)^{\frac{3}{2}} e^{\left(i \arccos\left(b x + a\right)\right)}}{4 \, b} + \frac{\arccos\left(b x + a\right)^{\frac{5}{2}} e^{\left(i \arccos\left(b x + a\right)\right)}}{2 \, b} - \frac{5 \, i \arccos\left(b x + a\right)^{\frac{3}{2}} e^{\left(-i \arccos\left(b x + a\right)\right)}}{4 \, b} + \frac{\arccos\left(b x + a\right)^{\frac{5}{2}} e^{\left(-i \arccos\left(b x + a\right)\right)}}{2 \, b} - \frac{15 \, \sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(b x + a\right)}}{i - 1}\right)}{16 \, b {\left(i - 1\right)}} - \frac{15 \, \sqrt{\arccos\left(b x + a\right)} e^{\left(i \arccos\left(b x + a\right)\right)}}{8 \, b} - \frac{15 \, \sqrt{\arccos\left(b x + a\right)} e^{\left(-i \arccos\left(b x + a\right)\right)}}{8 \, b} + \frac{15 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(b x + a\right)}}{i - 1}\right)}{16 \, b {\left(i - 1\right)}}"," ",0,"5/4*i*arccos(b*x + a)^(3/2)*e^(i*arccos(b*x + a))/b + 1/2*arccos(b*x + a)^(5/2)*e^(i*arccos(b*x + a))/b - 5/4*i*arccos(b*x + a)^(3/2)*e^(-i*arccos(b*x + a))/b + 1/2*arccos(b*x + a)^(5/2)*e^(-i*arccos(b*x + a))/b - 15/16*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*sqrt(arccos(b*x + a))/(i - 1))/(b*(i - 1)) - 15/8*sqrt(arccos(b*x + a))*e^(i*arccos(b*x + a))/b - 15/8*sqrt(arccos(b*x + a))*e^(-i*arccos(b*x + a))/b + 15/16*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*i*sqrt(arccos(b*x + a))/(i - 1))/(b*(i - 1))","B",0
38,1,164,0,0.389458," ","integrate(arccos(b*x+a)^(3/2),x, algorithm=""giac"")","\frac{3 \, i \sqrt{\arccos\left(b x + a\right)} e^{\left(i \arccos\left(b x + a\right)\right)}}{4 \, b} + \frac{\arccos\left(b x + a\right)^{\frac{3}{2}} e^{\left(i \arccos\left(b x + a\right)\right)}}{2 \, b} - \frac{3 \, i \sqrt{\arccos\left(b x + a\right)} e^{\left(-i \arccos\left(b x + a\right)\right)}}{4 \, b} + \frac{\arccos\left(b x + a\right)^{\frac{3}{2}} e^{\left(-i \arccos\left(b x + a\right)\right)}}{2 \, b} - \frac{3 \, \sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(b x + a\right)}}{i - 1}\right)}{8 \, b {\left(i - 1\right)}} + \frac{3 \, \sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(b x + a\right)}}{i - 1}\right)}{8 \, b {\left(i - 1\right)}}"," ",0,"3/4*i*sqrt(arccos(b*x + a))*e^(i*arccos(b*x + a))/b + 1/2*arccos(b*x + a)^(3/2)*e^(i*arccos(b*x + a))/b - 3/4*i*sqrt(arccos(b*x + a))*e^(-i*arccos(b*x + a))/b + 1/2*arccos(b*x + a)^(3/2)*e^(-i*arccos(b*x + a))/b - 3/8*sqrt(2)*sqrt(pi)*i*erf(-sqrt(2)*i*sqrt(arccos(b*x + a))/(i - 1))/(b*(i - 1)) + 3/8*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(arccos(b*x + a))/(i - 1))/(b*(i - 1))","B",0
39,1,117,0,0.270561," ","integrate(arccos(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(b x + a\right)}}{i - 1}\right)}{4 \, b {\left(i - 1\right)}} + \frac{\sqrt{\arccos\left(b x + a\right)} e^{\left(i \arccos\left(b x + a\right)\right)}}{2 \, b} + \frac{\sqrt{\arccos\left(b x + a\right)} e^{\left(-i \arccos\left(b x + a\right)\right)}}{2 \, b} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(b x + a\right)}}{i - 1}\right)}{4 \, b {\left(i - 1\right)}}"," ",0,"1/4*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*sqrt(arccos(b*x + a))/(i - 1))/(b*(i - 1)) + 1/2*sqrt(arccos(b*x + a))*e^(i*arccos(b*x + a))/b + 1/2*sqrt(arccos(b*x + a))*e^(-i*arccos(b*x + a))/b - 1/4*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*i*sqrt(arccos(b*x + a))/(i - 1))/(b*(i - 1))","B",0
40,1,72,0,0.417521," ","integrate(1/arccos(b*x+a)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(b x + a\right)}}{i - 1}\right)}{2 \, b {\left(i - 1\right)}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(b x + a\right)}}{i - 1}\right)}{2 \, b {\left(i - 1\right)}}"," ",0,"1/2*sqrt(2)*sqrt(pi)*i*erf(-sqrt(2)*i*sqrt(arccos(b*x + a))/(i - 1))/(b*(i - 1)) - 1/2*sqrt(2)*sqrt(pi)*erf(sqrt(2)*sqrt(arccos(b*x + a))/(i - 1))/(b*(i - 1))","B",0
41,0,0,0,0.000000," ","integrate(1/arccos(b*x+a)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\arccos\left(b x + a\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(arccos(b*x + a)^(-3/2), x)","F",0
42,0,0,0,0.000000," ","integrate(1/arccos(b*x+a)^(5/2),x, algorithm=""giac"")","\int \frac{1}{\arccos\left(b x + a\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(arccos(b*x + a)^(-5/2), x)","F",0
43,1,171,0,1.673363," ","integrate(1/(a+b*arccos(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{b \arccos\left(d x + c\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(d x + c\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)} d} + \frac{\sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{b \arccos\left(d x + c\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{b \arccos\left(d x + c\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} - \sqrt{2} \sqrt{{\left| b \right|}}\right)} d}"," ",0,"sqrt(pi)*i*erf(-1/2*sqrt(2)*sqrt(b*arccos(d*x + c) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(d*x + c) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))*d) + sqrt(pi)*i*erf(1/2*sqrt(2)*sqrt(b*arccos(d*x + c) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(b*arccos(d*x + c) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) - sqrt(2)*sqrt(abs(b)))*d)","A",0
44,1,175,0,1.996367," ","integrate(1/(a-b*arccos(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{\sqrt{\pi} i \operatorname{erf}\left(-\frac{\sqrt{2} \sqrt{-b \arccos\left(d x + c\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{-b \arccos\left(d x + c\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} + \sqrt{2} \sqrt{{\left| b \right|}}\right)} d} + \frac{\sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{-b \arccos\left(d x + c\right) + a} i}{2 \, \sqrt{{\left| b \right|}}} - \frac{\sqrt{2} \sqrt{-b \arccos\left(d x + c\right) + a} \sqrt{{\left| b \right|}}}{2 \, b}\right) e^{\left(-\frac{a i}{b}\right)}}{{\left(\frac{\sqrt{2} b i}{\sqrt{{\left| b \right|}}} - \sqrt{2} \sqrt{{\left| b \right|}}\right)} d}"," ",0,"sqrt(pi)*i*erf(-1/2*sqrt(2)*sqrt(-b*arccos(d*x + c) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(-b*arccos(d*x + c) + a)*sqrt(abs(b))/b)*e^(a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) + sqrt(2)*sqrt(abs(b)))*d) + sqrt(pi)*i*erf(1/2*sqrt(2)*sqrt(-b*arccos(d*x + c) + a)*i/sqrt(abs(b)) - 1/2*sqrt(2)*sqrt(-b*arccos(d*x + c) + a)*sqrt(abs(b))/b)*e^(-a*i/b)/((sqrt(2)*b*i/sqrt(abs(b)) - sqrt(2)*sqrt(abs(b)))*d)","A",0
45,0,0,0,0.000000," ","integrate(arccos(b*x+a)/(a*d/b+d*x),x, algorithm=""giac"")","\int \frac{\arccos\left(b x + a\right)}{d x + \frac{a d}{b}}\,{d x}"," ",0,"integrate(arccos(b*x + a)/(d*x + a*d/b), x)","F",0
46,1,27,0,0.850616," ","integrate(arccos(x)*(-x^2+1)^(1/2),x, algorithm=""giac"")","\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} - \frac{1}{8}"," ",0,"1/2*sqrt(-x^2 + 1)*x*arccos(x) + 1/4*x^2 - 1/4*arccos(x)^2 - 1/8","A",0
47,1,46,0,1.021862," ","integrate(x^3*arccos(a*x^2),x, algorithm=""giac"")","\frac{2 \, a^{2} x^{4} \arccos\left(a x^{2}\right) - \sqrt{-a^{2} x^{4} + 1} a x^{2} - \arccos\left(a x^{2}\right)}{8 \, a^{2}}"," ",0,"1/8*(2*a^2*x^4*arccos(a*x^2) - sqrt(-a^2*x^4 + 1)*a*x^2 - arccos(a*x^2))/a^2","A",0
48,0,0,0,0.000000," ","integrate(x^2*arccos(a*x^2),x, algorithm=""giac"")","\int x^{2} \arccos\left(a x^{2}\right)\,{d x}"," ",0,"integrate(x^2*arccos(a*x^2), x)","F",0
49,1,31,0,0.177043," ","integrate(x*arccos(a*x^2),x, algorithm=""giac"")","\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
50,0,0,0,0.000000," ","integrate(arccos(a*x^2),x, algorithm=""giac"")","\int \arccos\left(a x^{2}\right)\,{d x}"," ",0,"integrate(arccos(a*x^2), x)","F",0
51,0,0,0,0.000000," ","integrate(arccos(a*x^2)/x,x, algorithm=""giac"")","\int \frac{\arccos\left(a x^{2}\right)}{x}\,{d x}"," ",0,"integrate(arccos(a*x^2)/x, x)","F",0
52,0,0,0,0.000000," ","integrate(arccos(a*x^2)/x^2,x, algorithm=""giac"")","\int \frac{\arccos\left(a x^{2}\right)}{x^{2}}\,{d x}"," ",0,"integrate(arccos(a*x^2)/x^2, x)","F",0
53,1,77,0,0.190516," ","integrate(x^2*arccos(a/x),x, algorithm=""giac"")","-\frac{a^{4} {\left(\frac{2 \, x^{2} \sqrt{-\frac{a^{2}}{x^{2}} + 1}}{a^{2}} + \log\left(\sqrt{-\frac{a^{2}}{x^{2}} + 1} + 1\right) - \log\left(-\sqrt{-\frac{a^{2}}{x^{2}} + 1} + 1\right)\right)} - 4 \, a x^{3} \arccos\left(\frac{a}{x}\right)}{12 \, a}"," ",0,"-1/12*(a^4*(2*x^2*sqrt(-a^2/x^2 + 1)/a^2 + log(sqrt(-a^2/x^2 + 1) + 1) - log(-sqrt(-a^2/x^2 + 1) + 1)) - 4*a*x^3*arccos(a/x))/a","A",0
54,1,64,0,0.209359," ","integrate(x*arccos(a/x),x, algorithm=""giac"")","-\frac{a^{3} {\left(\frac{x {\left(\sqrt{-\frac{a^{2}}{x^{2}} + 1} - 1\right)}}{a} - \frac{a}{x {\left(\sqrt{-\frac{a^{2}}{x^{2}} + 1} - 1\right)}}\right)} - 2 \, a x^{2} \arccos\left(\frac{a}{x}\right)}{4 \, a}"," ",0,"-1/4*(a^3*(x*(sqrt(-a^2/x^2 + 1) - 1)/a - a/(x*(sqrt(-a^2/x^2 + 1) - 1))) - 2*a*x^2*arccos(a/x))/a","B",0
55,1,55,0,0.242590," ","integrate(arccos(a/x),x, algorithm=""giac"")","-\frac{a^{2} {\left(\log\left(\sqrt{-\frac{a^{2}}{x^{2}} + 1} + 1\right) - \log\left(-\sqrt{-\frac{a^{2}}{x^{2}} + 1} + 1\right)\right)} - 2 \, a x \arccos\left(\frac{a}{x}\right)}{2 \, a}"," ",0,"-1/2*(a^2*(log(sqrt(-a^2/x^2 + 1) + 1) - log(-sqrt(-a^2/x^2 + 1) + 1)) - 2*a*x*arccos(a/x))/a","B",0
56,-2,0,0,0.000000," ","integrate(arccos(a/x)/x,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(x)]Undef/Unsigned Inf encountered in limitLimit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
57,1,31,0,0.165051," ","integrate(arccos(a/x)/x^2,x, algorithm=""giac"")","-\frac{\frac{a \arccos\left(\frac{a}{x}\right)}{x} - \sqrt{-\frac{a^{2}}{x^{2}} + 1}}{a}"," ",0,"-(a*arccos(a/x)/x - sqrt(-a^2/x^2 + 1))/a","A",0
58,1,44,0,1.814354," ","integrate(arccos(a/x)/x^3,x, algorithm=""giac"")","\frac{\frac{\arccos\left(\frac{a}{x}\right)}{a} - \frac{2 \, a \arccos\left(\frac{a}{x}\right)}{x^{2}} + \frac{\sqrt{-\frac{a^{2}}{x^{2}} + 1}}{x}}{4 \, a}"," ",0,"1/4*(arccos(a/x)/a - 2*a*arccos(a/x)/x^2 + sqrt(-a^2/x^2 + 1)/x)/a","A",0
59,1,52,0,3.985367," ","integrate(arccos(a/x)/x^4,x, algorithm=""giac"")","-\frac{\frac{3 \, a \arccos\left(\frac{a}{x}\right)}{x^{3}} - \frac{2 \, \sqrt{-\frac{a^{2}}{x^{2}} + 1}}{a^{2}} - \frac{\sqrt{-\frac{a^{2}}{x^{2}} + 1}}{x^{2}}}{9 \, a}"," ",0,"-1/9*(3*a*arccos(a/x)/x^3 - 2*sqrt(-a^2/x^2 + 1)/a^2 - sqrt(-a^2/x^2 + 1)/x^2)/a","A",0
60,1,52,0,3.962996," ","integrate(x^2*arccos(x^(1/2)),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \arccos\left(\sqrt{x}\right) - \frac{1}{18} \, x^{\frac{5}{2}} \sqrt{-x + 1} - \frac{5}{72} \, x^{\frac{3}{2}} \sqrt{-x + 1} - \frac{5}{48} \, \sqrt{x} \sqrt{-x + 1} - \frac{5}{48} \, \arccos\left(\sqrt{x}\right)"," ",0,"1/3*x^3*arccos(sqrt(x)) - 1/18*x^(5/2)*sqrt(-x + 1) - 5/72*x^(3/2)*sqrt(-x + 1) - 5/48*sqrt(x)*sqrt(-x + 1) - 5/48*arccos(sqrt(x))","A",0
61,1,40,0,0.187777," ","integrate(x*arccos(x^(1/2)),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arccos\left(\sqrt{x}\right) - \frac{1}{8} \, x^{\frac{3}{2}} \sqrt{-x + 1} - \frac{3}{16} \, \sqrt{x} \sqrt{-x + 1} - \frac{3}{16} \, \arccos\left(\sqrt{x}\right)"," ",0,"1/2*x^2*arccos(sqrt(x)) - 1/8*x^(3/2)*sqrt(-x + 1) - 3/16*sqrt(x)*sqrt(-x + 1) - 3/16*arccos(sqrt(x))","A",0
62,1,25,0,1.730438," ","integrate(arccos(x^(1/2)),x, algorithm=""giac"")","x \arccos\left(\sqrt{x}\right) - \frac{1}{2} \, \sqrt{x} \sqrt{-x + 1} - \frac{1}{2} \, \arccos\left(\sqrt{x}\right)"," ",0,"x*arccos(sqrt(x)) - 1/2*sqrt(x)*sqrt(-x + 1) - 1/2*arccos(sqrt(x))","A",0
63,0,0,0,0.000000," ","integrate(arccos(x^(1/2))/x,x, algorithm=""giac"")","\int \frac{\arccos\left(\sqrt{x}\right)}{x}\,{d x}"," ",0,"integrate(arccos(sqrt(x))/x, x)","F",0
64,1,40,0,2.990653," ","integrate(arccos(x^(1/2))/x^2,x, algorithm=""giac"")","\frac{\sqrt{-x + 1} - 1}{2 \, \sqrt{x}} - \frac{\arccos\left(\sqrt{x}\right)}{x} - \frac{\sqrt{x}}{2 \, {\left(\sqrt{-x + 1} - 1\right)}}"," ",0,"1/2*(sqrt(-x + 1) - 1)/sqrt(x) - arccos(sqrt(x))/x - 1/2*sqrt(x)/(sqrt(-x + 1) - 1)","A",0
65,1,74,0,3.989951," ","integrate(arccos(x^(1/2))/x^3,x, algorithm=""giac"")","\frac{{\left(\sqrt{-x + 1} - 1\right)}^{3}}{48 \, x^{\frac{3}{2}}} + \frac{3 \, {\left(\sqrt{-x + 1} - 1\right)}}{16 \, \sqrt{x}} - \frac{x^{\frac{3}{2}} {\left(\frac{9 \, {\left(\sqrt{-x + 1} - 1\right)}^{2}}{x} + 1\right)}}{48 \, {\left(\sqrt{-x + 1} - 1\right)}^{3}} - \frac{\arccos\left(\sqrt{x}\right)}{2 \, x^{2}}"," ",0,"1/48*(sqrt(-x + 1) - 1)^3/x^(3/2) + 3/16*(sqrt(-x + 1) - 1)/sqrt(x) - 1/48*x^(3/2)*(9*(sqrt(-x + 1) - 1)^2/x + 1)/(sqrt(-x + 1) - 1)^3 - 1/2*arccos(sqrt(x))/x^2","B",0
66,1,106,0,1.042043," ","integrate(arccos(x^(1/2))/x^4,x, algorithm=""giac"")","\frac{{\left(\sqrt{-x + 1} - 1\right)}^{5}}{480 \, x^{\frac{5}{2}}} + \frac{5 \, {\left(\sqrt{-x + 1} - 1\right)}^{3}}{288 \, x^{\frac{3}{2}}} + \frac{5 \, {\left(\sqrt{-x + 1} - 1\right)}}{48 \, \sqrt{x}} - \frac{{\left(\frac{150 \, {\left(\sqrt{-x + 1} - 1\right)}^{4}}{x^{2}} + \frac{25 \, {\left(\sqrt{-x + 1} - 1\right)}^{2}}{x} + 3\right)} x^{\frac{5}{2}}}{1440 \, {\left(\sqrt{-x + 1} - 1\right)}^{5}} - \frac{\arccos\left(\sqrt{x}\right)}{3 \, x^{3}}"," ",0,"1/480*(sqrt(-x + 1) - 1)^5/x^(5/2) + 5/288*(sqrt(-x + 1) - 1)^3/x^(3/2) + 5/48*(sqrt(-x + 1) - 1)/sqrt(x) - 1/1440*(150*(sqrt(-x + 1) - 1)^4/x^2 + 25*(sqrt(-x + 1) - 1)^2/x + 3)*x^(5/2)/(sqrt(-x + 1) - 1)^5 - 1/3*arccos(sqrt(x))/x^3","B",0
67,1,138,0,0.214878," ","integrate(arccos(x^(1/2))/x^5,x, algorithm=""giac"")","\frac{{\left(\sqrt{-x + 1} - 1\right)}^{7}}{3584 \, x^{\frac{7}{2}}} + \frac{7 \, {\left(\sqrt{-x + 1} - 1\right)}^{5}}{2560 \, x^{\frac{5}{2}}} + \frac{7 \, {\left(\sqrt{-x + 1} - 1\right)}^{3}}{512 \, x^{\frac{3}{2}}} + \frac{35 \, {\left(\sqrt{-x + 1} - 1\right)}}{512 \, \sqrt{x}} - \frac{{\left(\frac{1225 \, {\left(\sqrt{-x + 1} - 1\right)}^{6}}{x^{3}} + \frac{245 \, {\left(\sqrt{-x + 1} - 1\right)}^{4}}{x^{2}} + \frac{49 \, {\left(\sqrt{-x + 1} - 1\right)}^{2}}{x} + 5\right)} x^{\frac{7}{2}}}{17920 \, {\left(\sqrt{-x + 1} - 1\right)}^{7}} - \frac{\arccos\left(\sqrt{x}\right)}{4 \, x^{4}}"," ",0,"1/3584*(sqrt(-x + 1) - 1)^7/x^(7/2) + 7/2560*(sqrt(-x + 1) - 1)^5/x^(5/2) + 7/512*(sqrt(-x + 1) - 1)^3/x^(3/2) + 35/512*(sqrt(-x + 1) - 1)/sqrt(x) - 1/17920*(1225*(sqrt(-x + 1) - 1)^6/x^3 + 245*(sqrt(-x + 1) - 1)^4/x^2 + 49*(sqrt(-x + 1) - 1)^2/x + 5)*x^(7/2)/(sqrt(-x + 1) - 1)^7 - 1/4*arccos(sqrt(x))/x^4","B",0
68,1,19,0,1.675346," ","integrate(arccos(x^(1/2))/x^(1/2),x, algorithm=""giac"")","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
69,0,0,0,0.000000," ","integrate(arccos(a*x^n)/x,x, algorithm=""giac"")","\int \frac{\arccos\left(a x^{n}\right)}{x}\,{d x}"," ",0,"integrate(arccos(a*x^n)/x, x)","F",0
70,0,0,0,0.000000," ","integrate(arccos(a*x^5)/x,x, algorithm=""giac"")","\int \frac{\arccos\left(a x^{5}\right)}{x}\,{d x}"," ",0,"integrate(arccos(a*x^5)/x, x)","F",0
71,1,39,0,0.159537," ","integrate(x^3*arccos(b*x^4+a),x, algorithm=""giac"")","\frac{{\left(b x^{4} + a\right)} \arccos\left(b x^{4} + a\right) - \sqrt{-{\left(b x^{4} + a\right)}^{2} + 1}}{4 \, b}"," ",0,"1/4*((b*x^4 + a)*arccos(b*x^4 + a) - sqrt(-(b*x^4 + a)^2 + 1))/b","A",0
72,1,41,0,0.838782," ","integrate(x^(-1+n)*arccos(a+b*x^n),x, algorithm=""giac"")","\frac{{\left(b x^{n} + a\right)} \arccos\left(b x^{n} + a\right) - \sqrt{-{\left(b x^{n} + a\right)}^{2} + 1}}{b n}"," ",0,"((b*x^n + a)*arccos(b*x^n + a) - sqrt(-(b*x^n + a)^2 + 1))/(b*n)","A",0
73,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2+1))^4,x, algorithm=""giac"")","\int {\left(b \arccos\left(d x^{2} + 1\right) + a\right)}^{4}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 + 1) + a)^4, x)","F",0
74,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2+1))^3,x, algorithm=""giac"")","\int {\left(b \arccos\left(d x^{2} + 1\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 + 1) + a)^3, x)","F",0
75,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2+1))^2,x, algorithm=""giac"")","\int {\left(b \arccos\left(d x^{2} + 1\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 + 1) + a)^2, x)","F",0
76,1,55,0,1.966074," ","integrate(a+b*arccos(d*x^2+1),x, algorithm=""giac"")","{\left(x \arccos\left(d x^{2} + 1\right) + \frac{2 \, \sqrt{2} \sqrt{-d} \mathrm{sgn}\left(x\right)}{d} - \frac{2 \, \sqrt{-d^{2} x^{2} - 2 \, d}}{d \mathrm{sgn}\left(x\right)}\right)} b + a x"," ",0,"(x*arccos(d*x^2 + 1) + 2*sqrt(2)*sqrt(-d)*sgn(x)/d - 2*sqrt(-d^2*x^2 - 2*d)/(d*sgn(x)))*b + a*x","A",0
77,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1)),x, algorithm=""giac"")","\int \frac{1}{b \arccos\left(d x^{2} + 1\right) + a}\,{d x}"," ",0,"integrate(1/(b*arccos(d*x^2 + 1) + a), x)","F",0
78,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(d x^{2} + 1\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 + 1) + a)^(-2), x)","F",0
79,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(d x^{2} + 1\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 + 1) + a)^(-3), x)","F",0
80,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2-1))^4,x, algorithm=""giac"")","\int {\left(b \arccos\left(d x^{2} - 1\right) + a\right)}^{4}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 - 1) + a)^4, x)","F",0
81,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2-1))^3,x, algorithm=""giac"")","\int {\left(b \arccos\left(d x^{2} - 1\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 - 1) + a)^3, x)","F",0
82,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2-1))^2,x, algorithm=""giac"")","\int {\left(b \arccos\left(d x^{2} - 1\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 - 1) + a)^2, x)","F",0
83,1,50,0,0.162106," ","integrate(a+b*arccos(d*x^2-1),x, algorithm=""giac"")","{\left(x \arccos\left(d x^{2} - 1\right) + \frac{2 \, \sqrt{2} \mathrm{sgn}\left(x\right)}{\sqrt{d}} - \frac{2 \, \sqrt{-d^{2} x^{2} + 2 \, d}}{d \mathrm{sgn}\left(x\right)}\right)} b + a x"," ",0,"(x*arccos(d*x^2 - 1) + 2*sqrt(2)*sgn(x)/sqrt(d) - 2*sqrt(-d^2*x^2 + 2*d)/(d*sgn(x)))*b + a*x","A",0
84,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1)),x, algorithm=""giac"")","\int \frac{1}{b \arccos\left(d x^{2} - 1\right) + a}\,{d x}"," ",0,"integrate(1/(b*arccos(d*x^2 - 1) + a), x)","F",0
85,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(d x^{2} - 1\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 - 1) + a)^(-2), x)","F",0
86,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(d x^{2} - 1\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 - 1) + a)^(-3), x)","F",0
87,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2+1))^(5/2),x, algorithm=""giac"")","\int {\left(b \arccos\left(d x^{2} + 1\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 + 1) + a)^(5/2), x)","F",0
88,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2+1))^(3/2),x, algorithm=""giac"")","\int {\left(b \arccos\left(d x^{2} + 1\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 + 1) + a)^(3/2), x)","F",0
89,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2+1))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \arccos\left(d x^{2} + 1\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*arccos(d*x^2 + 1) + a), x)","F",0
90,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \arccos\left(d x^{2} + 1\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*arccos(d*x^2 + 1) + a), x)","F",0
91,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(d x^{2} + 1\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 + 1) + a)^(-3/2), x)","F",0
92,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(d x^{2} + 1\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 + 1) + a)^(-5/2), x)","F",0
93,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2+1))^(7/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(d x^{2} + 1\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 + 1) + a)^(-7/2), x)","F",0
94,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2-1))^(5/2),x, algorithm=""giac"")","\int {\left(b \arccos\left(d x^{2} - 1\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 - 1) + a)^(5/2), x)","F",0
95,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2-1))^(3/2),x, algorithm=""giac"")","\int {\left(b \arccos\left(d x^{2} - 1\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 - 1) + a)^(3/2), x)","F",0
96,0,0,0,0.000000," ","integrate((a+b*arccos(d*x^2-1))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \arccos\left(d x^{2} - 1\right) + a}\,{d x}"," ",0,"integrate(sqrt(b*arccos(d*x^2 - 1) + a), x)","F",0
97,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b \arccos\left(d x^{2} - 1\right) + a}}\,{d x}"," ",0,"integrate(1/sqrt(b*arccos(d*x^2 - 1) + a), x)","F",0
98,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1))^(3/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(d x^{2} - 1\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 - 1) + a)^(-3/2), x)","F",0
99,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1))^(5/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(d x^{2} - 1\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 - 1) + a)^(-5/2), x)","F",0
100,0,0,0,0.000000," ","integrate(1/(a+b*arccos(d*x^2-1))^(7/2),x, algorithm=""giac"")","\int \frac{1}{{\left(b \arccos\left(d x^{2} - 1\right) + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*arccos(d*x^2 - 1) + a)^(-7/2), x)","F",0
101,0,0,0,0.000000," ","integrate((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{{\left(b \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{n}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^n/(c^2*x^2 - 1), x)","F",0
102,0,0,0,0.000000," ","integrate((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{{\left(b \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{3}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^3/(c^2*x^2 - 1), x)","F",0
103,0,0,0,0.000000," ","integrate((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{{\left(b \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{2}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^2/(c^2*x^2 - 1), x)","F",0
104,0,0,0,0.000000," ","integrate((a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{b \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(b*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)/(c^2*x^2 - 1), x)","F",0
105,0,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)/(a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2))),x, algorithm=""giac"")","\int -\frac{1}{{\left(c^{2} x^{2} - 1\right)} {\left(b \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}}\,{d x}"," ",0,"integrate(-1/((c^2*x^2 - 1)*(b*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)), x)","F",0
106,0,0,0,0.000000," ","integrate(1/(-c^2*x^2+1)/(a+b*arccos((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2,x, algorithm=""giac"")","\int -\frac{1}{{\left(c^{2} x^{2} - 1\right)} {\left(b \arccos\left(\frac{\sqrt{-c x + 1}}{\sqrt{c x + 1}}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(-1/((c^2*x^2 - 1)*(b*arccos(sqrt(-c*x + 1)/sqrt(c*x + 1)) + a)^2), x)","F",0
107,0,0,0,0.000000," ","integrate(arccos(c*exp(b*x+a)),x, algorithm=""giac"")","\int \arccos\left(c e^{\left(b x + a\right)}\right)\,{d x}"," ",0,"integrate(arccos(c*e^(b*x + a)), x)","F",0
108,1,82,0,0.212496," ","integrate(exp(arccos(a*x))*x^3,x, algorithm=""giac"")","\frac{4}{17} \, x^{4} e^{\left(\arccos\left(a x\right)\right)} - \frac{\sqrt{-a^{2} x^{2} + 1} x^{3} e^{\left(\arccos\left(a x\right)\right)}}{17 \, a} - \frac{3 \, x^{2} e^{\left(\arccos\left(a x\right)\right)}}{85 \, a^{2}} - \frac{6 \, \sqrt{-a^{2} x^{2} + 1} x e^{\left(\arccos\left(a x\right)\right)}}{85 \, a^{3}} - \frac{6 \, e^{\left(\arccos\left(a x\right)\right)}}{85 \, a^{4}}"," ",0,"4/17*x^4*e^(arccos(a*x)) - 1/17*sqrt(-a^2*x^2 + 1)*x^3*e^(arccos(a*x))/a - 3/85*x^2*e^(arccos(a*x))/a^2 - 6/85*sqrt(-a^2*x^2 + 1)*x*e^(arccos(a*x))/a^3 - 6/85*e^(arccos(a*x))/a^4","A",0
109,1,69,0,0.212666," ","integrate(exp(arccos(a*x))*x^2,x, algorithm=""giac"")","\frac{3}{10} \, x^{3} e^{\left(\arccos\left(a x\right)\right)} - \frac{\sqrt{-a^{2} x^{2} + 1} x^{2} e^{\left(\arccos\left(a x\right)\right)}}{10 \, a} - \frac{x e^{\left(\arccos\left(a x\right)\right)}}{10 \, a^{2}} - \frac{\sqrt{-a^{2} x^{2} + 1} e^{\left(\arccos\left(a x\right)\right)}}{10 \, a^{3}}"," ",0,"3/10*x^3*e^(arccos(a*x)) - 1/10*sqrt(-a^2*x^2 + 1)*x^2*e^(arccos(a*x))/a - 1/10*x*e^(arccos(a*x))/a^2 - 1/10*sqrt(-a^2*x^2 + 1)*e^(arccos(a*x))/a^3","A",0
110,1,44,0,0.204079," ","integrate(exp(arccos(a*x))*x,x, algorithm=""giac"")","\frac{2}{5} \, x^{2} e^{\left(\arccos\left(a x\right)\right)} - \frac{\sqrt{-a^{2} x^{2} + 1} x e^{\left(\arccos\left(a x\right)\right)}}{5 \, a} - \frac{e^{\left(\arccos\left(a x\right)\right)}}{5 \, a^{2}}"," ",0,"2/5*x^2*e^(arccos(a*x)) - 1/5*sqrt(-a^2*x^2 + 1)*x*e^(arccos(a*x))/a - 1/5*e^(arccos(a*x))/a^2","A",0
111,1,31,0,0.186635," ","integrate(exp(arccos(a*x)),x, algorithm=""giac"")","\frac{1}{2} \, x e^{\left(\arccos\left(a x\right)\right)} - \frac{\sqrt{-a^{2} x^{2} + 1} e^{\left(\arccos\left(a x\right)\right)}}{2 \, a}"," ",0,"1/2*x*e^(arccos(a*x)) - 1/2*sqrt(-a^2*x^2 + 1)*e^(arccos(a*x))/a","A",0
112,0,0,0,0.000000," ","integrate(exp(arccos(a*x))/x,x, algorithm=""giac"")","\int \frac{e^{\left(\arccos\left(a x\right)\right)}}{x}\,{d x}"," ",0,"integrate(e^(arccos(a*x))/x, x)","F",0
113,0,0,0,0.000000," ","integrate(exp(arccos(a*x))/x^2,x, algorithm=""giac"")","\int \frac{e^{\left(\arccos\left(a x\right)\right)}}{x^{2}}\,{d x}"," ",0,"integrate(e^(arccos(a*x))/x^2, x)","F",0
114,1,95,0,0.220044," ","integrate(arccos(c/(b*x+a)),x, algorithm=""giac"")","-\frac{b {\left(\frac{c^{2} {\left(\log\left(\sqrt{-\frac{c^{2}}{{\left(b x + a\right)}^{2}} + 1} + 1\right) - \log\left(-\sqrt{-\frac{c^{2}}{{\left(b x + a\right)}^{2}} + 1} + 1\right)\right)}}{b^{2}} - \frac{2 \, {\left(b x + a\right)} c \arccos\left(-\frac{c}{{\left(b x + a\right)} {\left(\frac{a}{b x + a} - 1\right)} - a}\right)}{b^{2}}\right)}}{2 \, c}"," ",0,"-1/2*b*(c^2*(log(sqrt(-c^2/(b*x + a)^2 + 1) + 1) - log(-sqrt(-c^2/(b*x + a)^2 + 1) + 1))/b^2 - 2*(b*x + a)*c*arccos(-c/((b*x + a)*(a/(b*x + a) - 1) - a))/b^2)/c","B",0
115,1,58,0,0.279006," ","integrate(x/(-x^2+1)^(1/2)/arccos(x)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} \sqrt{\pi} i \operatorname{erf}\left(\frac{\sqrt{2} \sqrt{\arccos\left(x\right)}}{i - 1}\right)}{2 \, {\left(i - 1\right)}} - \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}\left(-\frac{\sqrt{2} i \sqrt{\arccos\left(x\right)}}{i - 1}\right)}{2 \, {\left(i - 1\right)}}"," ",0,"1/2*sqrt(2)*sqrt(pi)*i*erf(sqrt(2)*sqrt(arccos(x))/(i - 1))/(i - 1) - 1/2*sqrt(2)*sqrt(pi)*erf(-sqrt(2)*i*sqrt(arccos(x))/(i - 1))/(i - 1)","B",0
116,1,5,0,0.195571," ","integrate(x/arccos(x)/(-x^2+1)^(1/2),x, algorithm=""giac"")","-\operatorname{Ci}\left(\arccos\left(x\right)\right)"," ",0,"-cos_integral(arccos(x))","A",0
117,-1,0,0,0.000000," ","integrate(arccos((b*x^2+1)^(1/2))^n/(b*x^2+1)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,0,0,0,0.000000," ","integrate(1/arccos((b*x^2+1)^(1/2))/(b*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{b x^{2} + 1} \arccos\left(\sqrt{b x^{2} + 1}\right)}\,{d x}"," ",0,"integrate(1/(sqrt(b*x^2 + 1)*arccos(sqrt(b*x^2 + 1))), x)","F",0
