1,0,0,0,0.000000," ","integrate(x^3*arcsech(b*x+a),x, algorithm=""giac"")","\int x^{3} \operatorname{arsech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^3*arcsech(b*x + a), x)","F",0
2,0,0,0,0.000000," ","integrate(x^2*arcsech(b*x+a),x, algorithm=""giac"")","\int x^{2} \operatorname{arsech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x^2*arcsech(b*x + a), x)","F",0
3,0,0,0,0.000000," ","integrate(x*arcsech(b*x+a),x, algorithm=""giac"")","\int x \operatorname{arsech}\left(b x + a\right)\,{d x}"," ",0,"integrate(x*arcsech(b*x + a), x)","F",0
4,0,0,0,0.000000," ","integrate(arcsech(b*x+a),x, algorithm=""giac"")","\int \operatorname{arsech}\left(b x + a\right)\,{d x}"," ",0,"integrate(arcsech(b*x + a), x)","F",0
5,0,0,0,0.000000," ","integrate(arcsech(b*x+a)/x,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)}{x}\,{d x}"," ",0,"integrate(arcsech(b*x + a)/x, x)","F",0
6,0,0,0,0.000000," ","integrate(arcsech(b*x+a)/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)}{x^{2}}\,{d x}"," ",0,"integrate(arcsech(b*x + a)/x^2, x)","F",0
7,0,0,0,0.000000," ","integrate(arcsech(b*x+a)/x^3,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)}{x^{3}}\,{d x}"," ",0,"integrate(arcsech(b*x + a)/x^3, x)","F",0
8,0,0,0,0.000000," ","integrate(arcsech(b*x+a)/x^4,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)}{x^{4}}\,{d x}"," ",0,"integrate(arcsech(b*x + a)/x^4, x)","F",0
9,0,0,0,0.000000," ","integrate(x^2*arcsech(b*x+a)^2,x, algorithm=""giac"")","\int x^{2} \operatorname{arsech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x^2*arcsech(b*x + a)^2, x)","F",0
10,0,0,0,0.000000," ","integrate(x*arcsech(b*x+a)^2,x, algorithm=""giac"")","\int x \operatorname{arsech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(x*arcsech(b*x + a)^2, x)","F",0
11,0,0,0,0.000000," ","integrate(arcsech(b*x+a)^2,x, algorithm=""giac"")","\int \operatorname{arsech}\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate(arcsech(b*x + a)^2, x)","F",0
12,0,0,0,0.000000," ","integrate(arcsech(b*x+a)^2/x,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)^{2}}{x}\,{d x}"," ",0,"integrate(arcsech(b*x + a)^2/x, x)","F",0
13,0,0,0,0.000000," ","integrate(arcsech(b*x+a)^2/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(arcsech(b*x + a)^2/x^2, x)","F",0
14,0,0,0,0.000000," ","integrate(arcsech(b*x+a)^2/x^3,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(arcsech(b*x + a)^2/x^3, x)","F",0
15,0,0,0,0.000000," ","integrate(x*arcsech(b*x+a)^3,x, algorithm=""giac"")","\int x \operatorname{arsech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(x*arcsech(b*x + a)^3, x)","F",0
16,0,0,0,0.000000," ","integrate(arcsech(b*x+a)^3,x, algorithm=""giac"")","\int \operatorname{arsech}\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(arcsech(b*x + a)^3, x)","F",0
17,0,0,0,0.000000," ","integrate(arcsech(b*x+a)^3/x,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)^{3}}{x}\,{d x}"," ",0,"integrate(arcsech(b*x + a)^3/x, x)","F",0
18,0,0,0,0.000000," ","integrate(arcsech(b*x+a)^3/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(arcsech(b*x + a)^3/x^2, x)","F",0
19,0,0,0,0.000000," ","integrate(arcsech(b*x+a)^3/x^3,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)^{3}}{x^{3}}\,{d x}"," ",0,"integrate(arcsech(b*x + a)^3/x^3, x)","F",0
20,0,0,0,0.000000," ","integrate(x^3*arcsech(x^(1/2)),x, algorithm=""giac"")","\int x^{3} \operatorname{arsech}\left(\sqrt{x}\right)\,{d x}"," ",0,"integrate(x^3*arcsech(sqrt(x)), x)","F",0
21,0,0,0,0.000000," ","integrate(x^2*arcsech(x^(1/2)),x, algorithm=""giac"")","\int x^{2} \operatorname{arsech}\left(\sqrt{x}\right)\,{d x}"," ",0,"integrate(x^2*arcsech(sqrt(x)), x)","F",0
22,0,0,0,0.000000," ","integrate(x*arcsech(x^(1/2)),x, algorithm=""giac"")","\int x \operatorname{arsech}\left(\sqrt{x}\right)\,{d x}"," ",0,"integrate(x*arcsech(sqrt(x)), x)","F",0
23,0,0,0,0.000000," ","integrate(arcsech(x^(1/2)),x, algorithm=""giac"")","\int \operatorname{arsech}\left(\sqrt{x}\right)\,{d x}"," ",0,"integrate(arcsech(sqrt(x)), x)","F",0
24,0,0,0,0.000000," ","integrate(arcsech(x^(1/2))/x,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(\sqrt{x}\right)}{x}\,{d x}"," ",0,"integrate(arcsech(sqrt(x))/x, x)","F",0
25,0,0,0,0.000000," ","integrate(arcsech(x^(1/2))/x^2,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(\sqrt{x}\right)}{x^{2}}\,{d x}"," ",0,"integrate(arcsech(sqrt(x))/x^2, x)","F",0
26,0,0,0,0.000000," ","integrate(arcsech(x^(1/2))/x^3,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(\sqrt{x}\right)}{x^{3}}\,{d x}"," ",0,"integrate(arcsech(sqrt(x))/x^3, x)","F",0
27,0,0,0,0.000000," ","integrate(arcsech(x^(1/2))/x^4,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(\sqrt{x}\right)}{x^{4}}\,{d x}"," ",0,"integrate(arcsech(sqrt(x))/x^4, x)","F",0
28,0,0,0,0.000000," ","integrate(arcsech(1/x),x, algorithm=""giac"")","\int \operatorname{arsech}\left(\frac{1}{x}\right)\,{d x}"," ",0,"integrate(arcsech(1/x), x)","F",0
29,0,0,0,0.000000," ","integrate(arcsech(a*x^n)/x,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(a x^{n}\right)}{x}\,{d x}"," ",0,"integrate(arcsech(a*x^n)/x, x)","F",0
30,0,0,0,0.000000," ","integrate(arcsech(a*x^5)/x,x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(a x^{5}\right)}{x}\,{d x}"," ",0,"integrate(arcsech(a*x^5)/x, x)","F",0
31,0,0,0,0.000000," ","integrate(arcsech(c*exp(b*x+a)),x, algorithm=""giac"")","\int \operatorname{arsech}\left(c e^{\left(b x + a\right)}\right)\,{d x}"," ",0,"integrate(arcsech(c*e^(b*x + a)), x)","F",0
32,-2,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))*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(x)]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-82,7]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-27,26]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-89,63]Unable to divide, perhaps due to rounding error%%%{1,[3,2,2,0,0]%%%}+%%%{1,[2,0,1,1,1]%%%} / %%%{1,[0,2,3,0,0]%%%} Error: Bad Argument Value","F(-2)",0
33,-2,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))*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(x)]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-82,7]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-27,26]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-89,63]Unable to divide, perhaps due to rounding error%%%{1,[2,2,2,0,0]%%%}+%%%{1,[1,0,1,1,1]%%%} / %%%{1,[0,2,3,0,0]%%%} Error: Bad Argument Value","F(-2)",0
34,-2,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))*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(x)]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-82,7]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-27,26]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-89,63]Unable to divide, perhaps due to rounding error%%%{1,[1,2,2,0,0]%%%}+%%%{1,[0,0,1,1,1]%%%} / %%%{1,[0,2,3,0,0]%%%} Error: Bad Argument Value","F(-2)",0
35,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))*x,x, algorithm=""giac"")","\int x {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}\,{d x}"," ",0,"integrate(x*(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x)), x)","F",0
36,0,0,0,0.000000," ","integrate(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2),x, algorithm=""giac"")","\int \sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\,{d x}"," ",0,"integrate(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x), x)","F",0
37,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}{x}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))/x, x)","F",0
38,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}{x^{2}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))/x^2, x)","F",0
39,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^3,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}{x^{3}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))/x^3, x)","F",0
40,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^4,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}{x^{4}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))/x^4, x)","F",0
41,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^5,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}{x^{5}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))/x^5, x)","F",0
42,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^6,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}{x^{6}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))/x^6, x)","F",0
43,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^7,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}{x^{7}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))/x^7, x)","F",0
44,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^8,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}{x^{8}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))/x^8, x)","F",0
45,1,205,0,0.205536," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(1/2))*x^7,x, algorithm=""giac"")","\frac{8 \, a^{2} x^{6} + 4 \, \sqrt{a^{2} x^{2} + a} \sqrt{-a^{2} x^{2} + a} {\left({\left(a^{2} x^{2} + a\right)} {\left(\frac{2 \, {\left(a^{2} x^{2} + a\right)}}{a^{4}} - \frac{7}{a^{3}}\right)} + \frac{9}{a^{2}}\right)} + {\left(\sqrt{a^{2} x^{2} + a} \sqrt{-a^{2} x^{2} + a} {\left({\left(a^{2} x^{2} + a\right)} {\left(2 \, {\left(a^{2} x^{2} + a\right)} {\left(\frac{3 \, {\left(a^{2} x^{2} + a\right)}}{a^{6}} - \frac{13}{a^{5}}\right)} + \frac{43}{a^{4}}\right)} - \frac{39}{a^{3}}\right)} - \frac{18 \, \arcsin\left(\frac{\sqrt{2} \sqrt{a^{2} x^{2} + a}}{2 \, \sqrt{a}}\right)}{a^{2}}\right)} a + \frac{24 \, \arcsin\left(\frac{\sqrt{2} \sqrt{a^{2} x^{2} + a}}{2 \, \sqrt{a}}\right)}{a}}{48 \, a^{3}}"," ",0,"1/48*(8*a^2*x^6 + 4*sqrt(a^2*x^2 + a)*sqrt(-a^2*x^2 + a)*((a^2*x^2 + a)*(2*(a^2*x^2 + a)/a^4 - 7/a^3) + 9/a^2) + (sqrt(a^2*x^2 + a)*sqrt(-a^2*x^2 + a)*((a^2*x^2 + a)*(2*(a^2*x^2 + a)*(3*(a^2*x^2 + a)/a^6 - 13/a^5) + 43/a^4) - 39/a^3) - 18*arcsin(1/2*sqrt(2)*sqrt(a^2*x^2 + a)/sqrt(a))/a^2)*a + 24*arcsin(1/2*sqrt(2)*sqrt(a^2*x^2 + a)/sqrt(a))/a)/a^3","B",0
46,-2,0,0,0.000000," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(1/2))*x^6,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)]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-82,7]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-27,26]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-89,63]Unable to divide, perhaps due to rounding error%%%{1,[4,2,1,1,1]%%%}+%%%{1,[4,0,0,0,2]%%%} / %%%{1,[0,0,0,0,3]%%%} Error: Bad Argument Value","F(-2)",0
47,1,190,0,0.171639," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(1/2))*x^5,x, algorithm=""giac"")","\frac{{\left(\sqrt{a^{2} x^{2} + a} \sqrt{-a^{2} x^{2} + a} {\left({\left(a^{2} x^{2} + a\right)} {\left(\frac{2 \, {\left(a^{2} x^{2} + a\right)}}{a^{4}} - \frac{7}{a^{3}}\right)} + \frac{9}{a^{2}}\right)} + \frac{6 \, \arcsin\left(\frac{\sqrt{2} \sqrt{a^{2} x^{2} + a}}{2 \, \sqrt{a}}\right)}{a}\right)} a - \frac{3 \, {\left(2 \, a^{2} \arcsin\left(\frac{\sqrt{2} \sqrt{a^{2} x^{2} + a}}{2 \, \sqrt{a}}\right) - \sqrt{a^{2} x^{2} + a} {\left(a^{2} x^{2} - 2 \, a\right)} \sqrt{-a^{2} x^{2} + a}\right)}}{a^{2}} + \frac{3 \, {\left({\left(a^{2} x^{2} + a\right)}^{2} - 2 \, {\left(a^{2} x^{2} + a\right)} a\right)}}{a^{2}}}{12 \, a^{3}}"," ",0,"1/12*((sqrt(a^2*x^2 + a)*sqrt(-a^2*x^2 + a)*((a^2*x^2 + a)*(2*(a^2*x^2 + a)/a^4 - 7/a^3) + 9/a^2) + 6*arcsin(1/2*sqrt(2)*sqrt(a^2*x^2 + a)/sqrt(a))/a)*a - 3*(2*a^2*arcsin(1/2*sqrt(2)*sqrt(a^2*x^2 + a)/sqrt(a)) - sqrt(a^2*x^2 + a)*(a^2*x^2 - 2*a)*sqrt(-a^2*x^2 + a))/a^2 + 3*((a^2*x^2 + a)^2 - 2*(a^2*x^2 + a)*a)/a^2)/a^3","B",0
48,-2,0,0,0.000000," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(1/2))*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(x)]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-82,7]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-27,26]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-89,63]Unable to divide, perhaps due to rounding error%%%{1,[2,2,1,1,1]%%%}+%%%{1,[2,0,0,0,2]%%%} / %%%{1,[0,0,0,0,3]%%%} Error: Bad Argument Value","F(-2)",0
49,1,132,0,0.173260," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(1/2))*x^3,x, algorithm=""giac"")","\frac{2 \, a^{2} x^{2} + 4 \, a \arcsin\left(\frac{\sqrt{2} \sqrt{a^{2} x^{2} + a}}{2 \, \sqrt{a}}\right) + 2 \, \sqrt{a^{2} x^{2} + a} \sqrt{-a^{2} x^{2} + a} + 2 \, a - \frac{2 \, a^{2} \arcsin\left(\frac{\sqrt{2} \sqrt{a^{2} x^{2} + a}}{2 \, \sqrt{a}}\right) - \sqrt{a^{2} x^{2} + a} {\left(a^{2} x^{2} - 2 \, a\right)} \sqrt{-a^{2} x^{2} + a}}{a}}{4 \, a^{3}}"," ",0,"1/4*(2*a^2*x^2 + 4*a*arcsin(1/2*sqrt(2)*sqrt(a^2*x^2 + a)/sqrt(a)) + 2*sqrt(a^2*x^2 + a)*sqrt(-a^2*x^2 + a) + 2*a - (2*a^2*arcsin(1/2*sqrt(2)*sqrt(a^2*x^2 + a)/sqrt(a)) - sqrt(a^2*x^2 + a)*(a^2*x^2 - 2*a)*sqrt(-a^2*x^2 + a))/a)/a^3","B",0
50,-2,0,0,0.000000," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(1/2))*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(x)]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-82,7]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-27,26]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-89,63]Unable to divide, perhaps due to rounding error%%%{1,[0,2,1,1,1]%%%}+%%%{1,[0,0,0,0,2]%%%} / %%%{1,[0,0,0,0,3]%%%} Error: Bad Argument Value","F(-2)",0
51,-2,0,0,0.000000," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(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)]schur row 1 2.33984e-10Francis algorithm not precise enough for[1.0,-1117.22141279,260038.267747,-22596024.9566,676199006.929]Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [54.1277311612,-82]schur row 1 3.80414e-10Francis algorithm not precise enough for[1.0,-439.975588666,40328.8580463,-1380066.57127,16264167.9132]Bad conditionned root j= 2 value 36.6628221508 ratio 0.000412274208284 mindist 0.00165644519952Bad conditionned root j= 0 value 36.66 ratio 0.00026134143357 mindist 0.0110443353806Bad conditionned root j= 2 value 36.67-0.004688*i ratio 0.00158404473284 mindist 0.009376Bad conditionned root j= 3 value 36.67+0.004688*i ratio 0.00158404473284 mindist 0.009376Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [82.1195442914,-89]schur row 1 2.26297e-10Francis algorithm not precise enough for[1.0,-310.806973653,20125.2030982,-486504.158708,4050237.99743]Unable to isolate roots number Vector [0,1][0.259008132109614e2,0.259012999453233e2]Bad conditionned root j= 2 value 25.8996302569 ratio 0.000423663040072 mindist 0.00118295401739Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [35.2935628123,-64]schur row 1 3.67828e-10Francis algorithm not precise enough for[1.0,-1024.27388138,218570.205017,-17412558.5081,477729345.21]Bad conditionned root j= 2 value 85.3520228111 ratio 0.000286084735534 mindist 0.0052898804365Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [78.6493344628,42]schur row 1 1.40127e-11Francis algorithm not precise enough for[1.0,-550.918251291,63231.4415845,-2709416.51745,39982152.0485]Bad conditionned root j= 2 value 45.9094216765 ratio 0.000696541081041 mindist 0.00106311994459Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [62.4600259969,46]schur row 1 3.2626e-10Francis algorithm not precise enough for[1.0,-897.25122063,167720.781859,-11704597.0415,281302606.674]Unable to isolate roots number Vector [0,1][0.747726202076933e2,0.747726716167272e2]Bad conditionned root j= 2 value 74.7675133332 ratio 0.00101141811991 mindist 0.00510687449423schur row 1 1.16125e-10Francis algorithm not precise enough for[1.0,-1092.17002563,248507.367685,-21109845.4104,617559117.938]Bad conditionned root j= 2 value 91.0116865143 ratio 0.00109001405383 mindist 0.00219671084823Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [33.9285577983,-49]schur row 1 7.18728e-11Francis algorithm not precise enough for[1.0,-185.418596232,7162.51163099,-103293.777387,513015.728641]Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [18.4052062202,63]schur row 1 2.75123e-11Francis algorithm not precise enough for[1.0,-619.731778616,80014.0577972,-3856786.44967,64022494.4518]Bad conditionned root j= 2 value 51.6436427769 ratio 0.00161773509906 mindist 0.00178986679927Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [10.4309062702,-37]Warning, choosing root of [1,0,%%%{-4,[1,0]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-23,65]schur row 1 1.68784e-10Francis algorithm not precise enough for[1.0,-96.6277521998,1945.1921865,-14619.0760005,37837.726424]Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [39.1803401988,-44]schur row 1 3.85284e-10Francis algorithm not precise enough for[1.0,-1161.32542683,280974.322293,-25379093.0373,789465697.88]Bad conditionned root j= 2 value 96.7723338924 ratio 0.000375252022965 mindist 0.00603026989475Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [39.9828299829,31]schur row 1 3.46041e-10Francis algorithm not precise enough for[1.0,-1129.51443638,265792.262915,-23350148.7365,706455270.256]Bad conditionned root j= 2 value 94.1217752457 ratio 0.000267509068199 mindist 0.00575040663189Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [83.4865739918,-66]schur row 1 3.76847e-10Francis algorithm not precise enough for[1.0,-637.349737572,84628.0599964,-4195152.25343,71619085.3875]Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [6.82230772497,79]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [55.0343274642,0]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [66.0382199469,-8]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [4.66774101928,97]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [70.9232513234,-17]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [82.4264548342,0]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [59.4272477375,89]schur row 3 1.36691e-10Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [61.7431004322,-65]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [58.4409598615,-10]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [18.9804396471,0]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [70.2045348478,0]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [0,57.2153722499]schur row 3 2.56736e-11Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [-58,54.6372379069]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [71,86.2839511861]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [11,80.4553440167]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [0,45.716705855]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [81,87.5126850624]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [-11,23.9552401127]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [93,41.1512670754]schur row 1 1.99488e-10Francis algorithm not precise enough for[1.0,-729.896147886,110989.247229,-6300826.31183,123186130.005]Warning, choosing root of [1,0,%%%{-12,[0,1]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[0,2]%%%},0,%%%{16,[4,5]%%%}+%%%{-28,[0,3]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[4,6]%%%}+%%%{9,[0,4]%%%}] at parameters values [-26,75.876540896]schur row 1 3.66933e-10Francis algorithm not precise enough for[1.0,-1159.70905962,280192.729784,-25273270.3354,785079658.236]Warning, choosing root of [1,0,%%%{-12,[0,1]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[0,2]%%%},0,%%%{16,[4,5]%%%}+%%%{-28,[0,3]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[4,6]%%%}+%%%{9,[0,4]%%%}] at parameters values [25,45.0210851603]Sign error (%%%{-2*a,2%%%}+%%%{undef,3%%%})Evaluation time: 35.6Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
52,0,0,0,0.000000," ","integrate(1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(1/2),x, algorithm=""giac"")","\int \sqrt{\frac{1}{a x^{2}} + 1} \sqrt{\frac{1}{a x^{2}} - 1} + \frac{1}{a x^{2}}\,{d x}"," ",0,"integrate(sqrt(1/(a*x^2) + 1)*sqrt(1/(a*x^2) - 1) + 1/(a*x^2), x)","F",0
53,1,252,0,3.323973," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(1/2))/x,x, algorithm=""giac"")","-\frac{{\left(\pi + 2 \, \arctan\left(\frac{\sqrt{a^{2} x^{2} + a} {\left(\frac{{\left(\sqrt{2} \sqrt{a} - \sqrt{-a^{2} x^{2} + a}\right)}^{2}}{a^{2} x^{2} + a} - 1\right)}}{2 \, {\left(\sqrt{2} \sqrt{a} - \sqrt{-a^{2} x^{2} + a}\right)}}\right)\right)} a^{3} + \frac{4 \, a^{3} {\left(\frac{\sqrt{2} \sqrt{a} - \sqrt{-a^{2} x^{2} + a}}{\sqrt{a^{2} x^{2} + a}} - \frac{\sqrt{a^{2} x^{2} + a}}{\sqrt{2} \sqrt{a} - \sqrt{-a^{2} x^{2} + a}}\right)}}{{\left(\frac{\sqrt{2} \sqrt{a} - \sqrt{-a^{2} x^{2} + a}}{\sqrt{a^{2} x^{2} + a}} - \frac{\sqrt{a^{2} x^{2} + a}}{\sqrt{2} \sqrt{a} - \sqrt{-a^{2} x^{2} + a}}\right)}^{2} - 4} + \frac{a^{2}}{x^{2}}}{2 \, a^{3}}"," ",0,"-1/2*((pi + 2*arctan(1/2*sqrt(a^2*x^2 + a)*((sqrt(2)*sqrt(a) - sqrt(-a^2*x^2 + a))^2/(a^2*x^2 + a) - 1)/(sqrt(2)*sqrt(a) - sqrt(-a^2*x^2 + a))))*a^3 + 4*a^3*((sqrt(2)*sqrt(a) - sqrt(-a^2*x^2 + a))/sqrt(a^2*x^2 + a) - sqrt(a^2*x^2 + a)/(sqrt(2)*sqrt(a) - sqrt(-a^2*x^2 + a)))/(((sqrt(2)*sqrt(a) - sqrt(-a^2*x^2 + a))/sqrt(a^2*x^2 + a) - sqrt(a^2*x^2 + a)/(sqrt(2)*sqrt(a) - sqrt(-a^2*x^2 + a)))^2 - 4) + a^2/x^2)/a^3","B",0
54,0,0,0,0.000000," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(1/2))/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x^{2}} + 1} \sqrt{\frac{1}{a x^{2}} - 1} + \frac{1}{a x^{2}}}{x^{2}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x^2) + 1)*sqrt(1/(a*x^2) - 1) + 1/(a*x^2))/x^2, x)","F",0
55,-2,0,0,0.000000," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(1/2))/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(x)]schur row 1 2.33984e-10Francis algorithm not precise enough for[1.0,-1117.22141279,260038.267747,-22596024.9566,676199006.929]Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [54.1277311612,-82]schur row 1 3.80414e-10Francis algorithm not precise enough for[1.0,-439.975588666,40328.8580463,-1380066.57127,16264167.9132]Bad conditionned root j= 2 value 36.6628221508 ratio 0.000412274208284 mindist 0.00165644519952Bad conditionned root j= 0 value 36.66 ratio 0.00026134143357 mindist 0.0110443353806Bad conditionned root j= 2 value 36.67-0.004688*i ratio 0.00158404473284 mindist 0.009376Bad conditionned root j= 3 value 36.67+0.004688*i ratio 0.00158404473284 mindist 0.009376Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [82.1195442914,-89]schur row 1 2.26297e-10Francis algorithm not precise enough for[1.0,-310.806973653,20125.2030982,-486504.158708,4050237.99743]Unable to isolate roots number Vector [0,1][0.259008132109614e2,0.259012999453233e2]Bad conditionned root j= 2 value 25.8996302569 ratio 0.000423663040072 mindist 0.00118295401739Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [35.2935628123,-64]schur row 1 3.67828e-10Francis algorithm not precise enough for[1.0,-1024.27388138,218570.205017,-17412558.5081,477729345.21]Bad conditionned root j= 2 value 85.3520228111 ratio 0.000286084735534 mindist 0.0052898804365Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [78.6493344628,42]schur row 1 1.40127e-11Francis algorithm not precise enough for[1.0,-550.918251291,63231.4415845,-2709416.51745,39982152.0485]Bad conditionned root j= 2 value 45.9094216765 ratio 0.000696541081041 mindist 0.00106311994459Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [62.4600259969,46]schur row 1 3.2626e-10Francis algorithm not precise enough for[1.0,-897.25122063,167720.781859,-11704597.0415,281302606.674]Unable to isolate roots number Vector [0,1][0.747726202076933e2,0.747726716167272e2]Bad conditionned root j= 2 value 74.7675133332 ratio 0.00101141811991 mindist 0.00510687449423schur row 1 1.16125e-10Francis algorithm not precise enough for[1.0,-1092.17002563,248507.367685,-21109845.4104,617559117.938]Bad conditionned root j= 2 value 91.0116865143 ratio 0.00109001405383 mindist 0.00219671084823Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [33.9285577983,-49]schur row 1 7.18728e-11Francis algorithm not precise enough for[1.0,-185.418596232,7162.51163099,-103293.777387,513015.728641]Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [18.4052062202,63]schur row 1 2.75123e-11Francis algorithm not precise enough for[1.0,-619.731778616,80014.0577972,-3856786.44967,64022494.4518]Bad conditionned root j= 2 value 51.6436427769 ratio 0.00161773509906 mindist 0.00178986679927Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [10.4309062702,-37]Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [-23,65]schur row 1 1.68784e-10Francis algorithm not precise enough for[1.0,-96.6277521998,1945.1921865,-14619.0760005,37837.726424]Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [39.1803401988,-44]schur row 1 3.85284e-10Francis algorithm not precise enough for[1.0,-1161.32542683,280974.322293,-25379093.0373,789465697.88]Bad conditionned root j= 2 value 96.7723338924 ratio 0.000375252022965 mindist 0.00603026989475Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [39.9828299829,31]schur row 1 3.46041e-10Francis algorithm not precise enough for[1.0,-1129.51443638,265792.262915,-23350148.7365,706455270.256]Bad conditionned root j= 2 value 94.1217752457 ratio 0.000267509068199 mindist 0.00575040663189Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [83.4865739918,-66]schur row 1 3.76847e-10Francis algorithm not precise enough for[1.0,-637.349737572,84628.0599964,-4195152.25343,71619085.3875]Warning, choosing root of [1,0,%%%{-12,[1,0]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[2,0]%%%},0,%%%{16,[5,4]%%%}+%%%{-28,[3,0]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[6,4]%%%}+%%%{9,[4,0]%%%}] at parameters values [6.82230772497,79]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [55.0343274642,0]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [66.0382199469,-8]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [4.66774101928,97]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [70.9232513234,-17]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [82.4264548342,0]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [59.4272477375,89]schur row 3 1.36691e-10Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [61.7431004322,-65]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [58.4409598615,-10]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [18.9804396471,0]Warning, choosing root of [1,0,%%%{-8,[1,2]%%%}+%%%{-4,[1,0]%%%},0,%%%{8,[4,0]%%%}+%%%{16,[2,4]%%%}+%%%{8,[2,2]%%%}+%%%{6,[2,0]%%%},0,%%%{-32,[5,2]%%%}+%%%{48,[5,0]%%%}+%%%{-32,[3,4]%%%}+%%%{8,[3,2]%%%}+%%%{-4,[3,0]%%%},0,%%%{16,[8,0]%%%}+%%%{-32,[6,2]%%%}+%%%{8,[6,0]%%%}+%%%{16,[4,4]%%%}+%%%{-8,[4,2]%%%}+%%%{1,[4,0]%%%}] at parameters values [70.2045348478,0]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [0,57.2153722499]schur row 3 2.56736e-11Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [-58,54.6372379069]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [71,86.2839511861]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [11,80.4553440167]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [0,45.716705855]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [81,87.5126850624]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [-11,23.9552401127]Warning, choosing root of [1,0,%%%{-8,[2,1]%%%}+%%%{-4,[0,1]%%%},0,%%%{16,[4,2]%%%}+%%%{8,[2,2]%%%}+%%%{8,[0,4]%%%}+%%%{6,[0,2]%%%},0,%%%{-32,[4,3]%%%}+%%%{-32,[2,5]%%%}+%%%{8,[2,3]%%%}+%%%{48,[0,5]%%%}+%%%{-4,[0,3]%%%},0,%%%{16,[4,4]%%%}+%%%{-32,[2,6]%%%}+%%%{-8,[2,4]%%%}+%%%{16,[0,8]%%%}+%%%{8,[0,6]%%%}+%%%{1,[0,4]%%%}] at parameters values [93,41.1512670754]schur row 1 1.99488e-10Francis algorithm not precise enough for[1.0,-729.896147886,110989.247229,-6300826.31183,123186130.005]Warning, choosing root of [1,0,%%%{-12,[0,1]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[0,2]%%%},0,%%%{16,[4,5]%%%}+%%%{-28,[0,3]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[4,6]%%%}+%%%{9,[0,4]%%%}] at parameters values [-26,75.876540896]schur row 1 3.66933e-10Francis algorithm not precise enough for[1.0,-1159.70905962,280192.729784,-25273270.3354,785079658.236]Warning, choosing root of [1,0,%%%{-12,[0,1]%%%},0,%%%{8,[4,4]%%%}+%%%{30,[0,2]%%%},0,%%%{16,[4,5]%%%}+%%%{-28,[0,3]%%%},0,%%%{16,[8,8]%%%}+%%%{-24,[4,6]%%%}+%%%{9,[0,4]%%%}] at parameters values [25,45.0210851603]Sign error (%%%{-2*a,2%%%}+%%%{undef,3%%%})Evaluation time: 44.85Limit: Max order reached or unable to make series expansion Error: Bad Argument Value","F(-2)",0
56,0,0,0,0.000000," ","integrate((1/a/x^3+(1/a/x^3-1)^(1/2)*(1/a/x^3+1)^(1/2))*x^m,x, algorithm=""giac"")","\int x^{m} {\left(\sqrt{\frac{1}{a x^{3}} + 1} \sqrt{\frac{1}{a x^{3}} - 1} + \frac{1}{a x^{3}}\right)}\,{d x}"," ",0,"integrate(x^m*(sqrt(1/(a*x^3) + 1)*sqrt(1/(a*x^3) - 1) + 1/(a*x^3)), x)","F",0
57,-2,0,0,0.000000," ","integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/x^2+1)^(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
58,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))*x^m,x, algorithm=""giac"")","\int x^{m} {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}\,{d x}"," ",0,"integrate(x^m*(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x)), x)","F",0
59,0,0,0,0.000000," ","integrate((x/a+(-1+x/a)^(1/2)*(1+x/a)^(1/2))*x^m,x, algorithm=""giac"")","\int x^{m} {\left(\sqrt{\frac{x}{a} + 1} \sqrt{\frac{x}{a} - 1} + \frac{x}{a}\right)}\,{d x}"," ",0,"integrate(x^m*(sqrt(x/a + 1)*sqrt(x/a - 1) + x/a), x)","F",0
60,0,0,0,0.000000," ","integrate((1/a/(x^p)+(1/a/(x^p)-1)^(1/2)*(1/a/(x^p)+1)^(1/2))*x^m,x, algorithm=""giac"")","\int x^{m} {\left(\sqrt{\frac{1}{a x^{p}} + 1} \sqrt{\frac{1}{a x^{p}} - 1} + \frac{1}{a x^{p}}\right)}\,{d x}"," ",0,"integrate(x^m*(sqrt(1/(a*x^p) + 1)*sqrt(1/(a*x^p) - 1) + 1/(a*x^p)), x)","F",0
61,0,0,0,0.000000," ","integrate((1/a/(x^p)+(1/a/(x^p)-1)^(1/2)*(1/a/(x^p)+1)^(1/2))*x,x, algorithm=""giac"")","\int x {\left(\sqrt{\frac{1}{a x^{p}} + 1} \sqrt{\frac{1}{a x^{p}} - 1} + \frac{1}{a x^{p}}\right)}\,{d x}"," ",0,"integrate(x*(sqrt(1/(a*x^p) + 1)*sqrt(1/(a*x^p) - 1) + 1/(a*x^p)), x)","F",0
62,0,0,0,0.000000," ","integrate(1/a/(x^p)+(1/a/(x^p)-1)^(1/2)*(1/a/(x^p)+1)^(1/2),x, algorithm=""giac"")","\int \sqrt{\frac{1}{a x^{p}} + 1} \sqrt{\frac{1}{a x^{p}} - 1} + \frac{1}{a x^{p}}\,{d x}"," ",0,"integrate(sqrt(1/(a*x^p) + 1)*sqrt(1/(a*x^p) - 1) + 1/(a*x^p), x)","F",0
63,0,0,0,0.000000," ","integrate((1/a/(x^p)+(1/a/(x^p)-1)^(1/2)*(1/a/(x^p)+1)^(1/2))/x,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x^{p}} + 1} \sqrt{\frac{1}{a x^{p}} - 1} + \frac{1}{a x^{p}}}{x}\,{d x}"," ",0,"integrate((sqrt(1/(a*x^p) + 1)*sqrt(1/(a*x^p) - 1) + 1/(a*x^p))/x, x)","F",0
64,0,0,0,0.000000," ","integrate((1/a/(x^p)+(1/a/(x^p)-1)^(1/2)*(1/a/(x^p)+1)^(1/2))/x^2,x, algorithm=""giac"")","\int \frac{\sqrt{\frac{1}{a x^{p}} + 1} \sqrt{\frac{1}{a x^{p}} - 1} + \frac{1}{a x^{p}}}{x^{2}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x^p) + 1)*sqrt(1/(a*x^p) - 1) + 1/(a*x^p))/x^2, x)","F",0
65,-2,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(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, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-82,7]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-27,26]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-89,63]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-49,-86]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-64,-30]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [70,22]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [42,56]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-9,-13]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [46,24]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [49,-6]Unable to divide, perhaps due to rounding error%%%{-1,[4,2,0,0]%%%}+%%%{2,[3,1,1,1]%%%}+%%%{2,[2,0,0,0]%%%} / %%%{1,[0,2,0,0]%%%} Error: Bad Argument Value","F(-2)",0
66,-2,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(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, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-82,7]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-27,26]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-89,63]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-49,-86]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-64,-30]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [70,22]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [42,56]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-9,-13]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [46,24]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [49,-6]Unable to divide, perhaps due to rounding error%%%{-1,[3,2,0,0]%%%}+%%%{2,[2,1,1,1]%%%}+%%%{2,[1,0,0,0]%%%} / %%%{1,[0,2,0,0]%%%} Error: Bad Argument Value","F(-2)",0
67,-2,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(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, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [86,-97]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-82,7]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep)]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-27,26]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-89,63]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-49,-86]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-64,-30]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [70,22]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [42,56]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [-9,-13]Warning, choosing root of [1,0,%%%{4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [46,24]Warning, choosing root of [1,0,%%%{-4,[1,1]%%%},0,%%%{4,[4,4]%%%}] at parameters values [49,-6]Unable to divide, perhaps due to rounding error%%%{-1,[2,2,0,0]%%%}+%%%{2,[1,1,1,1]%%%}+%%%{2,[0,0,0,0]%%%} / %%%{1,[0,2,0,0]%%%} Error: Bad Argument Value","F(-2)",0
68,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))^2*x,x, algorithm=""giac"")","\int x {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}^{2}\,{d x}"," ",0,"integrate(x*(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))^2, x)","F",0
69,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))^2,x, algorithm=""giac"")","\int {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}^{2}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))^2, x)","F",0
70,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))^2/x,x, algorithm=""giac"")","\int \frac{{\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}^{2}}{x}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))^2/x, x)","F",0
71,1,122,0,0.207854," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))^2/x^2,x, algorithm=""giac"")","\frac{3 \, {\left(a^{2} + \frac{a}{x}\right)} a^{2} - {\left(9 \, a^{2} + {\left(a^{2} + \frac{a}{x}\right)} {\left(\frac{2 \, {\left(a^{2} + \frac{a}{x}\right)}}{a^{2}} - 7\right)}\right)} \sqrt{a^{2} + \frac{a}{x}} \sqrt{-a^{2} + \frac{a}{x}} + 3 \, {\left(2 \, a^{2} - \frac{a}{x}\right)} \sqrt{a^{2} + \frac{a}{x}} \sqrt{-a^{2} + \frac{a}{x}} - \frac{2 \, a}{x^{3}}}{3 \, a^{3}}"," ",0,"1/3*(3*(a^2 + a/x)*a^2 - (9*a^2 + (a^2 + a/x)*(2*(a^2 + a/x)/a^2 - 7))*sqrt(a^2 + a/x)*sqrt(-a^2 + a/x) + 3*(2*a^2 - a/x)*sqrt(a^2 + a/x)*sqrt(-a^2 + a/x) - 2*a/x^3)/a^3","B",0
72,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}^{2}}{x^{3}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))^2/x^3, x)","F",0
73,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))^2/x^4,x, algorithm=""giac"")","\int \frac{{\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}^{2}}{x^{4}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))^2/x^4, x)","F",0
74,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))^2/x^5,x, algorithm=""giac"")","\int \frac{{\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}^{2}}{x^{5}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))^2/x^5, x)","F",0
75,0,0,0,0.000000," ","integrate((1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))^2/x^6,x, algorithm=""giac"")","\int \frac{{\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}^{2}}{x^{6}}\,{d x}"," ",0,"integrate((sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))^2/x^6, x)","F",0
76,0,0,0,0.000000," ","integrate(x^4/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2)),x, algorithm=""giac"")","\int \frac{x^{4}}{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}\,{d x}"," ",0,"integrate(x^4/(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x)), x)","F",0
77,0,0,0,0.000000," ","integrate(x^3/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2)),x, algorithm=""giac"")","\int \frac{x^{3}}{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}\,{d x}"," ",0,"integrate(x^3/(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x)), x)","F",0
78,0,0,0,0.000000," ","integrate(x^2/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2)),x, algorithm=""giac"")","\int \frac{x^{2}}{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}\,{d x}"," ",0,"integrate(x^2/(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x)), x)","F",0
79,0,0,0,0.000000," ","integrate(x/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2)),x, algorithm=""giac"")","\int \frac{x}{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}\,{d x}"," ",0,"integrate(x/(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x)), x)","F",0
80,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2)),x, algorithm=""giac"")","\int \frac{1}{\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}}\,{d x}"," ",0,"integrate(1/(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x)), x)","F",0
81,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x,x, algorithm=""giac"")","\int \frac{1}{x {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}}\,{d x}"," ",0,"integrate(1/(x*(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))), x)","F",0
82,1,110,0,0.171200," ","integrate(1/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^2,x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\sqrt{a^{2} + \frac{a}{x}} \sqrt{-a^{2} + \frac{a}{x}} {\left(\frac{1}{a^{2}} - \frac{a^{2} + \frac{a}{x}}{a^{4}}\right)} - \frac{2 \, {\left(a^{2} + \frac{a}{x}\right)} a^{2} - {\left(a^{2} + \frac{a}{x}\right)}^{2}}{a^{4}} - 2 \, \log\left(\sqrt{a^{2} + \frac{a}{x}} - \sqrt{-a^{2} + \frac{a}{x}}\right)\right)} a"," ",0,"-1/2*(sqrt(a^2 + a/x)*sqrt(-a^2 + a/x)*(1/a^2 - (a^2 + a/x)/a^4) - (2*(a^2 + a/x)*a^2 - (a^2 + a/x)^2)/a^4 - 2*log(sqrt(a^2 + a/x) - sqrt(-a^2 + a/x)))*a","A",0
83,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^3,x, algorithm=""giac"")","\int \frac{1}{x^{3} {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}}\,{d x}"," ",0,"integrate(1/(x^3*(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))), x)","F",0
84,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^4,x, algorithm=""giac"")","\int \frac{1}{x^{4} {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}}\,{d x}"," ",0,"integrate(1/(x^4*(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))), x)","F",0
85,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^5,x, algorithm=""giac"")","\int \frac{1}{x^{5} {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}}\,{d x}"," ",0,"integrate(1/(x^5*(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))), x)","F",0
86,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^6,x, algorithm=""giac"")","\int \frac{1}{x^{6} {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}}\,{d x}"," ",0,"integrate(1/(x^6*(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))), x)","F",0
87,0,0,0,0.000000," ","integrate(1/(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))/x^7,x, algorithm=""giac"")","\int \frac{1}{x^{7} {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)}}\,{d x}"," ",0,"integrate(1/(x^7*(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x))), x)","F",0
88,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)^(1/2)*(1+1/c/x)^(1/2))*(d*x)^m/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{\left(d x\right)^{m} {\left(\sqrt{\frac{1}{c x} + 1} \sqrt{\frac{1}{c x} - 1} + \frac{1}{c x}\right)}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(d*x)^m*(sqrt(1/(c*x) + 1)*sqrt(1/(c*x) - 1) + 1/(c*x))/(c^2*x^2 - 1), x)","F",0
89,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)^(1/2)*(1+1/c/x)^(1/2))*x^4/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{x^{4} {\left(\sqrt{\frac{1}{c x} + 1} \sqrt{\frac{1}{c x} - 1} + \frac{1}{c x}\right)}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-x^4*(sqrt(1/(c*x) + 1)*sqrt(1/(c*x) - 1) + 1/(c*x))/(c^2*x^2 - 1), x)","F",0
90,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)^(1/2)*(1+1/c/x)^(1/2))*x^3/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{x^{3} {\left(\sqrt{\frac{1}{c x} + 1} \sqrt{\frac{1}{c x} - 1} + \frac{1}{c x}\right)}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-x^3*(sqrt(1/(c*x) + 1)*sqrt(1/(c*x) - 1) + 1/(c*x))/(c^2*x^2 - 1), x)","F",0
91,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)^(1/2)*(1+1/c/x)^(1/2))*x^2/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{x^{2} {\left(\sqrt{\frac{1}{c x} + 1} \sqrt{\frac{1}{c x} - 1} + \frac{1}{c x}\right)}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-x^2*(sqrt(1/(c*x) + 1)*sqrt(1/(c*x) - 1) + 1/(c*x))/(c^2*x^2 - 1), x)","F",0
92,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)^(1/2)*(1+1/c/x)^(1/2))*x/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{x {\left(\sqrt{\frac{1}{c x} + 1} \sqrt{\frac{1}{c x} - 1} + \frac{1}{c x}\right)}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-x*(sqrt(1/(c*x) + 1)*sqrt(1/(c*x) - 1) + 1/(c*x))/(c^2*x^2 - 1), x)","F",0
93,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)^(1/2)*(1+1/c/x)^(1/2))/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{\sqrt{\frac{1}{c x} + 1} \sqrt{\frac{1}{c x} - 1} + \frac{1}{c x}}{c^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(sqrt(1/(c*x) + 1)*sqrt(1/(c*x) - 1) + 1/(c*x))/(c^2*x^2 - 1), x)","F",0
94,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)^(1/2)*(1+1/c/x)^(1/2))/x/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{\sqrt{\frac{1}{c x} + 1} \sqrt{\frac{1}{c x} - 1} + \frac{1}{c x}}{{\left(c^{2} x^{2} - 1\right)} x}\,{d x}"," ",0,"integrate(-(sqrt(1/(c*x) + 1)*sqrt(1/(c*x) - 1) + 1/(c*x))/((c^2*x^2 - 1)*x), x)","F",0
95,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)^(1/2)*(1+1/c/x)^(1/2))/x^2/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{\sqrt{\frac{1}{c x} + 1} \sqrt{\frac{1}{c x} - 1} + \frac{1}{c x}}{{\left(c^{2} x^{2} - 1\right)} x^{2}}\,{d x}"," ",0,"integrate(-(sqrt(1/(c*x) + 1)*sqrt(1/(c*x) - 1) + 1/(c*x))/((c^2*x^2 - 1)*x^2), x)","F",0
96,0,0,0,0.000000," ","integrate((1/c/x+(-1+1/c/x)^(1/2)*(1+1/c/x)^(1/2))/x^3/(-c^2*x^2+1),x, algorithm=""giac"")","\int -\frac{\sqrt{\frac{1}{c x} + 1} \sqrt{\frac{1}{c x} - 1} + \frac{1}{c x}}{{\left(c^{2} x^{2} - 1\right)} x^{3}}\,{d x}"," ",0,"integrate(-(sqrt(1/(c*x) + 1)*sqrt(1/(c*x) - 1) + 1/(c*x))/((c^2*x^2 - 1)*x^3), x)","F",0
97,0,0,0,0.000000," ","integrate(x*(-1+a*(1/a/x+(1/a/x-1)^(1/2)*(1+1/a/x)^(1/2))*x)/(-a^2*x^2+1),x, algorithm=""giac"")","\int -\frac{{\left(a x {\left(\sqrt{\frac{1}{a x} + 1} \sqrt{\frac{1}{a x} - 1} + \frac{1}{a x}\right)} - 1\right)} x}{a^{2} x^{2} - 1}\,{d x}"," ",0,"integrate(-(a*x*(sqrt(1/(a*x) + 1)*sqrt(1/(a*x) - 1) + 1/(a*x)) - 1)*x/(a^2*x^2 - 1), x)","F",0
98,0,0,0,0.000000," ","integrate(arcsech(b*x+a)/(a*d/b+d*x),x, algorithm=""giac"")","\int \frac{\operatorname{arsech}\left(b x + a\right)}{d x + \frac{a d}{b}}\,{d x}"," ",0,"integrate(arcsech(b*x + a)/(d*x + a*d/b), x)","F",0
99,0,0,0,0.000000," ","integrate(x^3*arcsech(b*x^4+a),x, algorithm=""giac"")","\int x^{3} \operatorname{arsech}\left(b x^{4} + a\right)\,{d x}"," ",0,"integrate(x^3*arcsech(b*x^4 + a), x)","F",0
100,0,0,0,0.000000," ","integrate(x^(-1+n)*arcsech(a+b*x^n),x, algorithm=""giac"")","\int x^{n - 1} \operatorname{arsech}\left(b x^{n} + a\right)\,{d x}"," ",0,"integrate(x^(n - 1)*arcsech(b*x^n + a), x)","F",0
