1,0,0,0,0.000000," ","integrate(x^3*arccsch(b*x+a),x, algorithm=""giac"")","\int x^{3} \operatorname{arcsch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*arccsch(b*x + a), x)","F",0
2,0,0,0,0.000000," ","integrate(x^2*arccsch(b*x+a),x, algorithm=""giac"")","\int x^{2} \operatorname{arcsch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^2*arccsch(b*x + a), x)","F",0
3,0,0,0,0.000000," ","integrate(x*arccsch(b*x+a),x, algorithm=""giac"")","\int x \operatorname{arcsch}\left(b x + a\right)\,{d x}"," ",0,"integrate(x*arccsch(b*x + a), x)","F",0
4,0,0,0,0.000000," ","integrate(arccsch(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\operatorname{arcsch}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(arccsch(b*x + a)/x, x)","F",0
5,0,0,0,0.000000," ","integrate(arccsch(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{arcsch}\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(arccsch(b*x + a)/x^2, x)","F",0
6,0,0,0,0.000000," ","integrate(arccsch(b*x+a)/x^3,x, algorithm=""giac"")","\int \frac{\operatorname{arcsch}\left(b x + a\right)}{x^{3}}\,{d x}"," ",0,"integrate(arccsch(b*x + a)/x^3, x)","F",0
7,0,0,0,0.000000," ","integrate((f*x+e)^3*(a+b*arccsch(d*x+c))^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{3} {\left(b \operatorname{arcsch}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((f*x + e)^3*(b*arccsch(d*x + c) + a)^2, x)","F",0
8,0,0,0,0.000000," ","integrate((f*x+e)^2*(a+b*arccsch(d*x+c))^2,x, algorithm=""giac"")","\int {\left(f x + e\right)}^{2} {\left(b \operatorname{arcsch}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((f*x + e)^2*(b*arccsch(d*x + c) + a)^2, x)","F",0
9,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*arccsch(d*x+c))^2,x, algorithm=""giac"")","\int {\left(f x + e\right)} {\left(b \operatorname{arcsch}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((f*x + e)*(b*arccsch(d*x + c) + a)^2, x)","F",0
10,0,0,0,0.000000," ","integrate((a+b*arccsch(d*x+c))^2,x, algorithm=""giac"")","\int {\left(b \operatorname{arcsch}\left(d x + c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*arccsch(d*x + c) + a)^2, x)","F",0
11,0,0,0,0.000000," ","integrate((a+b*arccsch(d*x+c))^2/(f*x+e),x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcsch}\left(d x + c\right) + a\right)}^{2}}{f x + e}\,{d x}"," ",0,"integrate((b*arccsch(d*x + c) + a)^2/(f*x + e), x)","F",0
12,0,0,0,0.000000," ","integrate((a+b*arccsch(d*x+c))^2/(f*x+e)^2,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcsch}\left(d x + c\right) + a\right)}^{2}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate((b*arccsch(d*x + c) + a)^2/(f*x + e)^2, x)","F",0
13,0,0,0,0.000000," ","integrate((a+b*arccsch(d*x+c))^2/(f*x+e)^3,x, algorithm=""giac"")","\int \frac{{\left(b \operatorname{arcsch}\left(d x + c\right) + a\right)}^{2}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate((b*arccsch(d*x + c) + a)^2/(f*x + e)^3, x)","F",0
14,0,0,0,0.000000," ","integrate(x^3*arccsch(x^(1/2)),x, algorithm=""giac"")","\int x^{3} \operatorname{arcsch}\left(\sqrt{x}\right)\,{d x}"," ",0,"integrate(x^3*arccsch(sqrt(x)), x)","F",0
15,0,0,0,0.000000," ","integrate(x^2*arccsch(x^(1/2)),x, algorithm=""giac"")","\int x^{2} \operatorname{arcsch}\left(\sqrt{x}\right)\,{d x}"," ",0,"integrate(x^2*arccsch(sqrt(x)), x)","F",0
16,0,0,0,0.000000," ","integrate(x*arccsch(x^(1/2)),x, algorithm=""giac"")","\int x \operatorname{arcsch}\left(\sqrt{x}\right)\,{d x}"," ",0,"integrate(x*arccsch(sqrt(x)), x)","F",0
17,0,0,0,0.000000," ","integrate(arccsch(x^(1/2)),x, algorithm=""giac"")","\int \operatorname{arcsch}\left(\sqrt{x}\right)\,{d x}"," ",0,"integrate(arccsch(sqrt(x)), x)","F",0
18,0,0,0,0.000000," ","integrate(arccsch(x^(1/2))/x,x, algorithm=""giac"")","\int \frac{\operatorname{arcsch}\left(\sqrt{x}\right)}{x}\,{d x}"," ",0,"integrate(arccsch(sqrt(x))/x, x)","F",0
19,0,0,0,0.000000," ","integrate(arccsch(x^(1/2))/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{arcsch}\left(\sqrt{x}\right)}{x^{2}}\,{d x}"," ",0,"integrate(arccsch(sqrt(x))/x^2, x)","F",0
20,0,0,0,0.000000," ","integrate(arccsch(x^(1/2))/x^3,x, algorithm=""giac"")","\int \frac{\operatorname{arcsch}\left(\sqrt{x}\right)}{x^{3}}\,{d x}"," ",0,"integrate(arccsch(sqrt(x))/x^3, x)","F",0
21,0,0,0,0.000000," ","integrate(arccsch(x^(1/2))/x^4,x, algorithm=""giac"")","\int \frac{\operatorname{arcsch}\left(\sqrt{x}\right)}{x^{4}}\,{d x}"," ",0,"integrate(arccsch(sqrt(x))/x^4, x)","F",0
22,0,0,0,0.000000," ","integrate(arccsch(1/x),x, algorithm=""giac"")","\int \operatorname{arcsch}\left(\frac{1}{x}\right)\,{d x}"," ",0,"integrate(arccsch(1/x), x)","F",0
23,0,0,0,0.000000," ","integrate(arccsch(a*x^n)/x,x, algorithm=""giac"")","\int \frac{\operatorname{arcsch}\left(a x^{n}\right)}{x}\,{d x}"," ",0,"integrate(arccsch(a*x^n)/x, x)","F",0
24,0,0,0,0.000000," ","integrate(arccsch(a*x^5)/x,x, algorithm=""giac"")","\int \frac{\operatorname{arcsch}\left(a x^{5}\right)}{x}\,{d x}"," ",0,"integrate(arccsch(a*x^5)/x, x)","F",0
25,0,0,0,0.000000," ","integrate(arccsch(c*exp(b*x+a)),x, algorithm=""giac"")","\int \operatorname{arcsch}\left(c e^{\left(b x + a\right)}\right)\,{d x}"," ",0,"integrate(arccsch(c*e^(b*x + a)), x)","F",0
26,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))*x^m,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(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
27,1,78,0,0.142491," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))*x^4,x, algorithm=""giac"")","-\frac{a^{2} x^{2} + 1}{2 \, a^{5}} + \frac{2 \, {\left| a \right|} \mathrm{sgn}\left(x\right)}{15 \, a^{6}} + \frac{12 \, {\left(a^{2} x^{2} + 1\right)}^{\frac{5}{2}} {\left| a \right|} \mathrm{sgn}\left(x\right) - 20 \, {\left(a^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left| a \right|} \mathrm{sgn}\left(x\right) + 15 \, {\left(a^{2} x^{2} + 1\right)}^{2} a}{60 \, a^{6}}"," ",0,"-1/2*(a^2*x^2 + 1)/a^5 + 2/15*abs(a)*sgn(x)/a^6 + 1/60*(12*(a^2*x^2 + 1)^(5/2)*abs(a)*sgn(x) - 20*(a^2*x^2 + 1)^(3/2)*abs(a)*sgn(x) + 15*(a^2*x^2 + 1)^2*a)/a^6","A",0
28,1,69,0,0.154790," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))*x^3,x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{a^{2} x^{2} + 1} {\left(\frac{2 \, x^{2} {\left| a \right|} \mathrm{sgn}\left(x\right)}{a^{2}} + \frac{{\left| a \right|} \mathrm{sgn}\left(x\right)}{a^{4}}\right)} x + \frac{x^{3}}{3 \, a} + \frac{\log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right) \mathrm{sgn}\left(x\right)}{8 \, a^{4}}"," ",0,"1/8*sqrt(a^2*x^2 + 1)*(2*x^2*abs(a)*sgn(x)/a^2 + abs(a)*sgn(x)/a^4)*x + 1/3*x^3/a + 1/8*log(-x*abs(a) + sqrt(a^2*x^2 + 1))*sgn(x)/a^4","A",0
29,1,44,0,0.142025," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))*x^2,x, algorithm=""giac"")","\frac{{\left(a^{2} x^{2} + 1\right)}^{\frac{3}{2}} {\left| a \right|} \mathrm{sgn}\left(x\right)}{3 \, a^{4}} + \frac{a^{2} x^{2} + 1}{2 \, a^{3}} - \frac{{\left| a \right|} \mathrm{sgn}\left(x\right)}{3 \, a^{4}}"," ",0,"1/3*(a^2*x^2 + 1)^(3/2)*abs(a)*sgn(x)/a^4 + 1/2*(a^2*x^2 + 1)/a^3 - 1/3*abs(a)*sgn(x)/a^4","A",0
30,1,52,0,0.152854," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))*x,x, algorithm=""giac"")","\frac{\sqrt{a^{2} x^{2} + 1} x {\left| a \right|} \mathrm{sgn}\left(x\right)}{2 \, a^{2}} + \frac{x}{a} - \frac{\log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right) \mathrm{sgn}\left(x\right)}{2 \, a^{2}}"," ",0,"1/2*sqrt(a^2*x^2 + 1)*x*abs(a)*sgn(x)/a^2 + x/a - 1/2*log(-x*abs(a) + sqrt(a^2*x^2 + 1))*sgn(x)/a^2","A",0
31,1,66,0,0.127302," ","integrate(1/a/x+(1+1/a^2/x^2)^(1/2),x, algorithm=""giac"")","-\frac{{\left(\log\left(\sqrt{a^{2} x^{2} + 1} + 1\right) \mathrm{sgn}\left(x\right) - \log\left(\sqrt{a^{2} x^{2} + 1} - 1\right) \mathrm{sgn}\left(x\right) - 2 \, \sqrt{a^{2} x^{2} + 1} \mathrm{sgn}\left(x\right)\right)} {\left| a \right|}}{2 \, a^{2}} + \frac{\log\left({\left| x \right|}\right)}{a}"," ",0,"-1/2*(log(sqrt(a^2*x^2 + 1) + 1)*sgn(x) - log(sqrt(a^2*x^2 + 1) - 1)*sgn(x) - 2*sqrt(a^2*x^2 + 1)*sgn(x))*abs(a)/a^2 + log(abs(x))/a","A",0
32,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))/x,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(x)]Error: Bad Argument Type","F(-2)",0
33,1,82,0,0.144042," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))/x^2,x, algorithm=""giac"")","-\frac{a^{4} {\left| a \right|} \log\left(\sqrt{a^{2} x^{2} + 1} + 1\right) \mathrm{sgn}\left(x\right) - a^{4} {\left| a \right|} \log\left(\sqrt{a^{2} x^{2} + 1} - 1\right) \mathrm{sgn}\left(x\right) + \frac{2 \, {\left(\sqrt{a^{2} x^{2} + 1} a^{4} {\left| a \right|} \mathrm{sgn}\left(x\right) + a^{5}\right)}}{a^{2} x^{2}}}{4 \, a^{4}}"," ",0,"-1/4*(a^4*abs(a)*log(sqrt(a^2*x^2 + 1) + 1)*sgn(x) - a^4*abs(a)*log(sqrt(a^2*x^2 + 1) - 1)*sgn(x) + 2*(sqrt(a^2*x^2 + 1)*a^4*abs(a)*sgn(x) + a^5)/(a^2*x^2))/a^4","B",0
34,1,69,0,0.166350," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))/x^3,x, algorithm=""giac"")","\frac{2 \, {\left(3 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{4} a^{2} \mathrm{sgn}\left(x\right) + a^{2} \mathrm{sgn}\left(x\right)\right)}}{3 \, {\left({\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{2} - 1\right)}^{3}} - \frac{1}{3 \, a x^{3}}"," ",0,"2/3*(3*(x*abs(a) - sqrt(a^2*x^2 + 1))^4*a^2*sgn(x) + a^2*sgn(x))/((x*abs(a) - sqrt(a^2*x^2 + 1))^2 - 1)^3 - 1/3/(a*x^3)","B",0
35,1,103,0,0.156664," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))/x^4,x, algorithm=""giac"")","\frac{a^{6} {\left| a \right|} \log\left(\sqrt{a^{2} x^{2} + 1} + 1\right) \mathrm{sgn}\left(x\right) - a^{6} {\left| a \right|} \log\left(\sqrt{a^{2} x^{2} + 1} - 1\right) \mathrm{sgn}\left(x\right) - \frac{2 \, {\left({\left(a^{2} x^{2} + 1\right)}^{\frac{3}{2}} a^{6} {\left| a \right|} \mathrm{sgn}\left(x\right) + \sqrt{a^{2} x^{2} + 1} a^{6} {\left| a \right|} \mathrm{sgn}\left(x\right) + 2 \, a^{7}\right)}}{a^{4} x^{4}}}{16 \, a^{4}}"," ",0,"1/16*(a^6*abs(a)*log(sqrt(a^2*x^2 + 1) + 1)*sgn(x) - a^6*abs(a)*log(sqrt(a^2*x^2 + 1) - 1)*sgn(x) - 2*((a^2*x^2 + 1)^(3/2)*a^6*abs(a)*sgn(x) + sqrt(a^2*x^2 + 1)*a^6*abs(a)*sgn(x) + 2*a^7)/(a^4*x^4))/a^4","A",0
36,1,124,0,0.204141," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))/x^5,x, algorithm=""giac"")","\frac{4 \, {\left(15 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{6} a^{4} \mathrm{sgn}\left(x\right) + 5 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{4} a^{4} \mathrm{sgn}\left(x\right) + 5 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{2} a^{4} \mathrm{sgn}\left(x\right) - a^{4} \mathrm{sgn}\left(x\right)\right)}}{15 \, {\left({\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{2} - 1\right)}^{5}} - \frac{1}{5 \, a x^{5}}"," ",0,"4/15*(15*(x*abs(a) - sqrt(a^2*x^2 + 1))^6*a^4*sgn(x) + 5*(x*abs(a) - sqrt(a^2*x^2 + 1))^4*a^4*sgn(x) + 5*(x*abs(a) - sqrt(a^2*x^2 + 1))^2*a^4*sgn(x) - a^4*sgn(x))/((x*abs(a) - sqrt(a^2*x^2 + 1))^2 - 1)^5 - 1/5/(a*x^5)","B",0
37,-2,0,0,0.000000," ","integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))*x^m,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
38,0,0,0,0.000000," ","integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))*x^4,x, algorithm=""giac"")","\int x^{4} {\left(\sqrt{\frac{1}{a^{2} x^{4}} + 1} + \frac{1}{a x^{2}}\right)}\,{d x}"," ",0,"integrate(x^4*(sqrt(1/(a^2*x^4) + 1) + 1/(a*x^2)), x)","F",0
39,1,57,0,0.153368," ","integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))*x^3,x, algorithm=""giac"")","\frac{2 \, a x^{2} + {\left(\sqrt{a^{2} x^{4} + 1} x^{2} - \frac{\log\left(-x^{2} {\left| a \right|} + \sqrt{a^{2} x^{4} + 1}\right)}{{\left| a \right|}}\right)} {\left| a \right|}}{4 \, a^{2}}"," ",0,"1/4*(2*a*x^2 + (sqrt(a^2*x^4 + 1)*x^2 - log(-x^2*abs(a) + sqrt(a^2*x^4 + 1))/abs(a))*abs(a))/a^2","A",0
40,0,0,0,0.000000," ","integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))*x^2,x, algorithm=""giac"")","\int x^{2} {\left(\sqrt{\frac{1}{a^{2} x^{4}} + 1} + \frac{1}{a x^{2}}\right)}\,{d x}"," ",0,"integrate(x^2*(sqrt(1/(a^2*x^4) + 1) + 1/(a*x^2)), x)","F",0
41,1,61,0,0.145162," ","integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))*x,x, algorithm=""giac"")","\frac{{\left(a - {\left| a \right|}\right)} \log\left(\sqrt{a^{2} x^{4} + 1} + 1\right) + {\left(a + {\left| a \right|}\right)} \log\left(\sqrt{a^{2} x^{4} + 1} - 1\right) + 2 \, \sqrt{a^{2} x^{4} + 1} {\left| a \right|}}{4 \, a^{2}}"," ",0,"1/4*((a - abs(a))*log(sqrt(a^2*x^4 + 1) + 1) + (a + abs(a))*log(sqrt(a^2*x^4 + 1) - 1) + 2*sqrt(a^2*x^4 + 1)*abs(a))/a^2","A",0
42,0,0,0,0.000000," ","integrate(1/a/x^2+(1+1/a^2/x^4)^(1/2),x, algorithm=""giac"")","\int \sqrt{\frac{1}{a^{2} x^{4}} + 1} + \frac{1}{a x^{2}}\,{d x}"," ",0,"integrate(sqrt(1/(a^2*x^4) + 1) + 1/(a*x^2), x)","F",0
43,1,66,0,0.162785," ","integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))/x,x, algorithm=""giac"")","-\frac{a^{2} \log\left(-x^{2} {\left| a \right|} + \sqrt{a^{2} x^{4} + 1}\right) - \frac{2 \, a^{2}}{{\left(x^{2} {\left| a \right|} - \sqrt{a^{2} x^{4} + 1}\right)}^{2} - 1} + \frac{a}{x^{2}}}{2 \, a^{2}}"," ",0,"-1/2*(a^2*log(-x^2*abs(a) + sqrt(a^2*x^4 + 1)) - 2*a^2/((x^2*abs(a) - sqrt(a^2*x^4 + 1))^2 - 1) + a/x^2)/a^2","A",0
44,0,0,0,0.000000," ","integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a^{2} x^{4}} + 1} + \frac{1}{a x^{2}}}{x^{2}}\,{d x}"," ",0,"integrate((sqrt(1/(a^2*x^4) + 1) + 1/(a*x^2))/x^2, x)","F",0
45,1,76,0,0.144742," ","integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))/x^3,x, algorithm=""giac"")","-\frac{a^{4} {\left| a \right|} \log\left(\sqrt{a^{2} x^{4} + 1} + 1\right) - a^{4} {\left| a \right|} \log\left(\sqrt{a^{2} x^{4} + 1} - 1\right) + \frac{2 \, {\left(\sqrt{a^{2} x^{4} + 1} a^{4} {\left| a \right|} + a^{5}\right)}}{a^{2} x^{4}}}{8 \, a^{4}}"," ",0,"-1/8*(a^4*abs(a)*log(sqrt(a^2*x^4 + 1) + 1) - a^4*abs(a)*log(sqrt(a^2*x^4 + 1) - 1) + 2*(sqrt(a^2*x^4 + 1)*a^4*abs(a) + a^5)/(a^2*x^4))/a^4","B",0
46,0,0,0,0.000000," ","integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))/x^4,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a^{2} x^{4}} + 1} + \frac{1}{a x^{2}}}{x^{4}}\,{d x}"," ",0,"integrate((sqrt(1/(a^2*x^4) + 1) + 1/(a*x^2))/x^4, x)","F",0
47,1,71,0,0.144364," ","integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))/x^5,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(3 \, {\left(x^{2} {\left| a \right|} - \sqrt{a^{2} x^{4} + 1}\right)}^{4} a^{4} + a^{4}\right)}}{{\left({\left(x^{2} {\left| a \right|} - \sqrt{a^{2} x^{4} + 1}\right)}^{2} - 1\right)}^{3}} - \frac{a}{x^{6}}}{6 \, a^{2}}"," ",0,"1/6*(2*(3*(x^2*abs(a) - sqrt(a^2*x^4 + 1))^4*a^4 + a^4)/((x^2*abs(a) - sqrt(a^2*x^4 + 1))^2 - 1)^3 - a/x^6)/a^2","B",0
48,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2*x^m,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)]Error: Bad Argument Type","F(-2)",0
49,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2*x^4,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)]Error: Bad Argument Type","F(-2)",0
50,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2*x^3,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)]Error: Bad Argument Type","F(-2)",0
51,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2*x^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)]Error: Bad Argument Type","F(-2)",0
52,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2*x,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)]Error: Bad Argument Type","F(-2)",0
53,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^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(x)]Error: Bad Argument Type","F(-2)",0
54,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2/x,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)]Error: Bad Argument Type","F(-2)",0
55,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2/x^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)]Error: Bad Argument Type","F(-2)",0
56,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2/x^3,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)]Error: Bad Argument Type","F(-2)",0
57,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2/x^4,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)]Error: Bad Argument Type","F(-2)",0
58,-2,0,0,0.000000," ","integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2/x^5,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)]Error: Bad Argument Type","F(-2)",0
59,-2,0,0,0.000000," ","integrate((1/c/x+(1+1/c^2/x^2)^(1/2))*(d*x)^m/(c^2*x^2+1),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(x)]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
60,1,89,0,0.146645," ","integrate((1/c/x+(1+1/c^2/x^2)^(1/2))*x^5/(c^2*x^2+1),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{c^{2} x^{2} + 1} x {\left(\frac{2 \, x^{2} {\left| c \right|} \mathrm{sgn}\left(x\right)}{c^{4}} - \frac{3 \, {\left| c \right|} \mathrm{sgn}\left(x\right)}{c^{6}}\right)} - \frac{3 \, \log\left(-x {\left| c \right|} + \sqrt{c^{2} x^{2} + 1}\right) \mathrm{sgn}\left(x\right)}{8 \, c^{6}} + \frac{\arctan\left(c x\right)}{c^{6}} + \frac{c^{6} x^{3} - 3 \, c^{4} x}{3 \, c^{9}}"," ",0,"1/8*sqrt(c^2*x^2 + 1)*x*(2*x^2*abs(c)*sgn(x)/c^4 - 3*abs(c)*sgn(x)/c^6) - 3/8*log(-x*abs(c) + sqrt(c^2*x^2 + 1))*sgn(x)/c^6 + arctan(c*x)/c^6 + 1/3*(c^6*x^3 - 3*c^4*x)/c^9","A",0
61,1,85,0,0.145949," ","integrate((1/c/x+(1+1/c^2/x^2)^(1/2))*x^4/(c^2*x^2+1),x, algorithm=""giac"")","-\frac{\log\left(c^{2} x^{2} + 1\right)}{2 \, c^{5}} + \frac{2 \, {\left| c \right|} \mathrm{sgn}\left(x\right)}{3 \, c^{6}} + \frac{2 \, {\left(c^{2} x^{2} + 1\right)}^{\frac{3}{2}} c^{12} {\left| c \right|} \mathrm{sgn}\left(x\right) - 6 \, \sqrt{c^{2} x^{2} + 1} c^{12} {\left| c \right|} \mathrm{sgn}\left(x\right) + 3 \, {\left(c^{2} x^{2} + 1\right)} c^{13}}{6 \, c^{18}}"," ",0,"-1/2*log(c^2*x^2 + 1)/c^5 + 2/3*abs(c)*sgn(x)/c^6 + 1/6*(2*(c^2*x^2 + 1)^(3/2)*c^12*abs(c)*sgn(x) - 6*sqrt(c^2*x^2 + 1)*c^12*abs(c)*sgn(x) + 3*(c^2*x^2 + 1)*c^13)/c^18","A",0
62,1,61,0,0.137896," ","integrate((1/c/x+(1+1/c^2/x^2)^(1/2))*x^3/(c^2*x^2+1),x, algorithm=""giac"")","\frac{\sqrt{c^{2} x^{2} + 1} x {\left| c \right|} \mathrm{sgn}\left(x\right)}{2 \, c^{4}} + \frac{x}{c^{3}} + \frac{\log\left(-x {\left| c \right|} + \sqrt{c^{2} x^{2} + 1}\right) \mathrm{sgn}\left(x\right)}{2 \, c^{4}} - \frac{\arctan\left(c x\right)}{c^{4}}"," ",0,"1/2*sqrt(c^2*x^2 + 1)*x*abs(c)*sgn(x)/c^4 + x/c^3 + 1/2*log(-x*abs(c) + sqrt(c^2*x^2 + 1))*sgn(x)/c^4 - arctan(c*x)/c^4","A",0
63,1,44,0,0.144107," ","integrate((1/c/x+(1+1/c^2/x^2)^(1/2))*x^2/(c^2*x^2+1),x, algorithm=""giac"")","\frac{\sqrt{c^{2} x^{2} + 1} {\left| c \right|} \mathrm{sgn}\left(x\right)}{c^{4}} + \frac{\log\left(c^{2} x^{2} + 1\right)}{2 \, c^{3}} - \frac{{\left| c \right|} \mathrm{sgn}\left(x\right)}{c^{4}}"," ",0,"sqrt(c^2*x^2 + 1)*abs(c)*sgn(x)/c^4 + 1/2*log(c^2*x^2 + 1)/c^3 - abs(c)*sgn(x)/c^4","A",0
64,1,34,0,0.136789," ","integrate((1/c/x+(1+1/c^2/x^2)^(1/2))*x/(c^2*x^2+1),x, algorithm=""giac"")","-\frac{\log\left(-x {\left| c \right|} + \sqrt{c^{2} x^{2} + 1}\right) \mathrm{sgn}\left(x\right)}{c^{2}} + \frac{\arctan\left(c x\right)}{c^{2}}"," ",0,"-log(-x*abs(c) + sqrt(c^2*x^2 + 1))*sgn(x)/c^2 + arctan(c*x)/c^2","A",0
65,1,70,0,0.160804," ","integrate((1/c/x+(1+1/c^2/x^2)^(1/2))/(c^2*x^2+1),x, algorithm=""giac"")","-\frac{\log\left(c^{2} x^{2} + 1\right)}{2 \, c} - \frac{{\left({\left| c \right|} \mathrm{sgn}\left(x\right) - c\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right)}{2 \, c^{2}} + \frac{{\left({\left| c \right|} \mathrm{sgn}\left(x\right) + c\right)} \log\left(\sqrt{c^{2} x^{2} + 1} - 1\right)}{2 \, c^{2}}"," ",0,"-1/2*log(c^2*x^2 + 1)/c - 1/2*(abs(c)*sgn(x) - c)*log(sqrt(c^2*x^2 + 1) + 1)/c^2 + 1/2*(abs(c)*sgn(x) + c)*log(sqrt(c^2*x^2 + 1) - 1)/c^2","B",0
66,1,43,0,0.136350," ","integrate((1/c/x+(1+1/c^2/x^2)^(1/2))/x/(c^2*x^2+1),x, algorithm=""giac"")","\frac{2 \, \mathrm{sgn}\left(x\right)}{{\left(x {\left| c \right|} - \sqrt{c^{2} x^{2} + 1}\right)}^{2} - 1} - \frac{1}{c x} - \arctan\left(c x\right)"," ",0,"2*sgn(x)/((x*abs(c) - sqrt(c^2*x^2 + 1))^2 - 1) - 1/(c*x) - arctan(c*x)","A",0
67,1,114,0,0.154943," ","integrate((1/c/x+(1+1/c^2/x^2)^(1/2))/x^2/(c^2*x^2+1),x, algorithm=""giac"")","\frac{1}{2} \, c \log\left(c^{2} x^{2} + 1\right) + \frac{1}{4} \, {\left({\left| c \right|} \mathrm{sgn}\left(x\right) - 2 \, c\right)} \log\left(\sqrt{c^{2} x^{2} + 1} + 1\right) - \frac{1}{4} \, {\left({\left| c \right|} \mathrm{sgn}\left(x\right) + 2 \, c\right)} \log\left(\sqrt{c^{2} x^{2} + 1} - 1\right) - \frac{\sqrt{c^{2} x^{2} + 1} {\left| c \right|} \mathrm{sgn}\left(x\right) + c}{2 \, {\left(\sqrt{c^{2} x^{2} + 1} + 1\right)} {\left(\sqrt{c^{2} x^{2} + 1} - 1\right)}}"," ",0,"1/2*c*log(c^2*x^2 + 1) + 1/4*(abs(c)*sgn(x) - 2*c)*log(sqrt(c^2*x^2 + 1) + 1) - 1/4*(abs(c)*sgn(x) + 2*c)*log(sqrt(c^2*x^2 + 1) - 1) - 1/2*(sqrt(c^2*x^2 + 1)*abs(c)*sgn(x) + c)/((sqrt(c^2*x^2 + 1) + 1)*(sqrt(c^2*x^2 + 1) - 1))","B",0
68,1,82,0,0.164999," ","integrate((1/c/x+(1+1/c^2/x^2)^(1/2))/x^3/(c^2*x^2+1),x, algorithm=""giac"")","c^{2} \arctan\left(c x\right) + \frac{4 \, {\left(3 \, {\left(x {\left| c \right|} - \sqrt{c^{2} x^{2} + 1}\right)}^{2} - 1\right)} c^{2} \mathrm{sgn}\left(x\right)}{3 \, {\left({\left(x {\left| c \right|} - \sqrt{c^{2} x^{2} + 1}\right)}^{2} - 1\right)}^{3}} + \frac{3 \, c^{2} x^{2} - 1}{3 \, c x^{3}}"," ",0,"c^2*arctan(c*x) + 4/3*(3*(x*abs(c) - sqrt(c^2*x^2 + 1))^2 - 1)*c^2*sgn(x)/((x*abs(c) - sqrt(c^2*x^2 + 1))^2 - 1)^3 + 1/3*(3*c^2*x^2 - 1)/(c*x^3)","A",0
69,0,0,0,0.000000," ","integrate(arccsch(b*x+a)/(a*d/b+d*x),x, algorithm=""giac"")","\int \frac{\operatorname{arcsch}\left(b x + a\right)}{d x + \frac{a d}{b}}\,{d x}"," ",0,"integrate(arccsch(b*x + a)/(d*x + a*d/b), x)","F",0
70,0,0,0,0.000000," ","integrate(x^3*arccsch(b*x^4+a),x, algorithm=""giac"")","\int x^{3} \operatorname{arcsch}\left(b x^{4} + a\right)\,{d x}"," ",0,"integrate(x^3*arccsch(b*x^4 + a), x)","F",0
71,0,0,0,0.000000," ","integrate(x^(-1+n)*arccsch(a+b*x^n),x, algorithm=""giac"")","\int x^{n - 1} \operatorname{arcsch}\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^(n - 1)*arccsch(b*x^n + a), x)","F",0
