1,-2,0,0,0.000000," ","integrate((1+I*a*x)/(a^2*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
2,1,73,0,2.007771," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)*x^3,x, algorithm=""giac"")","\frac{1}{24} \, \sqrt{a^{2} x^{2} + 1} {\left({\left(2 \, {\left(\frac{3 \, i x}{a} + \frac{4}{a^{2}}\right)} x - \frac{9 \, i}{a^{3}}\right)} x - \frac{16}{a^{4}}\right)} - \frac{3 \, i \log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right)}{8 \, a^{3} {\left| a \right|}}"," ",0,"1/24*sqrt(a^2*x^2 + 1)*((2*(3*i*x/a + 4/a^2)*x - 9*i/a^3)*x - 16/a^4) - 3/8*i*log(-x*abs(a) + sqrt(a^2*x^2 + 1))/(a^3*abs(a))","A",0
3,-2,0,0,0.000000," ","integrate((1+I*a*x)/(a^2*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
4,1,54,0,0.121582," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)*x,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{a^{2} x^{2} + 1} {\left(\frac{i x}{a} + \frac{2}{a^{2}}\right)} + \frac{i \log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right)}{2 \, a {\left| a \right|}}"," ",0,"1/2*sqrt(a^2*x^2 + 1)*(i*x/a + 2/a^2) + 1/2*i*log(-x*abs(a) + sqrt(a^2*x^2 + 1))/(a*abs(a))","A",0
5,1,41,0,0.134601," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{a^{2} x^{2} + 1} i}{a} - \frac{\log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right)}{{\left| a \right|}}"," ",0,"sqrt(a^2*x^2 + 1)*i/a - log(-x*abs(a) + sqrt(a^2*x^2 + 1))/abs(a)","A",0
6,1,69,0,0.136787," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/x,x, algorithm=""giac"")","-\frac{a i \log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right)}{{\left| a \right|}} - \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} + 1 \right|}\right) + \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} - 1 \right|}\right)"," ",0,"-a*i*log(-x*abs(a) + sqrt(a^2*x^2 + 1))/abs(a) - log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) + 1)) + log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) - 1))","B",0
7,1,76,0,0.137165," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/x^2,x, algorithm=""giac"")","-a i \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} + 1 \right|}\right) + a i \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} - 1 \right|}\right) + \frac{2 \, {\left| a \right|}}{{\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{2} - 1}"," ",0,"-a*i*log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) + 1)) + a*i*log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) - 1)) + 2*abs(a)/((x*abs(a) - sqrt(a^2*x^2 + 1))^2 - 1)","B",0
8,1,155,0,0.150419," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/x^3,x, algorithm=""giac"")","\frac{1}{2} \, a^{2} \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} + 1 \right|}\right) - \frac{1}{2} \, a^{2} \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} - 1 \right|}\right) + \frac{{\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{3} a^{2} + 2 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{2} a i {\left| a \right|} + {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)} a^{2} - 2 \, a i {\left| a \right|}}{{\left({\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{2} - 1\right)}^{2}}"," ",0,"1/2*a^2*log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) + 1)) - 1/2*a^2*log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) - 1)) + ((x*abs(a) - sqrt(a^2*x^2 + 1))^3*a^2 + 2*(x*abs(a) - sqrt(a^2*x^2 + 1))^2*a*i*abs(a) + (x*abs(a) - sqrt(a^2*x^2 + 1))*a^2 - 2*a*i*abs(a))/((x*abs(a) - sqrt(a^2*x^2 + 1))^2 - 1)^2","B",0
9,1,164,0,0.158426," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/x^4,x, algorithm=""giac"")","\frac{1}{2} \, a^{3} i \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} + 1 \right|}\right) - \frac{1}{2} \, a^{3} i \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} - 1 \right|}\right) + \frac{3 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{5} a^{3} i - 3 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)} a^{3} i + 12 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{2} a^{2} {\left| a \right|} - 4 \, a^{2} {\left| a \right|}}{3 \, {\left({\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{2} - 1\right)}^{3}}"," ",0,"1/2*a^3*i*log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) + 1)) - 1/2*a^3*i*log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) - 1)) + 1/3*(3*(x*abs(a) - sqrt(a^2*x^2 + 1))^5*a^3*i - 3*(x*abs(a) - sqrt(a^2*x^2 + 1))*a^3*i + 12*(x*abs(a) - sqrt(a^2*x^2 + 1))^2*a^2*abs(a) - 4*a^2*abs(a))/((x*abs(a) - sqrt(a^2*x^2 + 1))^2 - 1)^3","B",0
10,1,240,0,0.156514," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/x^5,x, algorithm=""giac"")","-\frac{3}{8} \, a^{4} \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} + 1 \right|}\right) + \frac{3}{8} \, a^{4} \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} - 1 \right|}\right) - \frac{9 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{7} a^{4} - 33 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{5} a^{4} - 48 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{4} a^{3} i {\left| a \right|} - 33 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{3} a^{4} + 64 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{2} a^{3} i {\left| a \right|} + 9 \, {\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)} a^{4} - 16 \, a^{3} i {\left| a \right|}}{12 \, {\left({\left(x {\left| a \right|} - \sqrt{a^{2} x^{2} + 1}\right)}^{2} - 1\right)}^{4}}"," ",0,"-3/8*a^4*log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) + 1)) + 3/8*a^4*log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) - 1)) - 1/12*(9*(x*abs(a) - sqrt(a^2*x^2 + 1))^7*a^4 - 33*(x*abs(a) - sqrt(a^2*x^2 + 1))^5*a^4 - 48*(x*abs(a) - sqrt(a^2*x^2 + 1))^4*a^3*i*abs(a) - 33*(x*abs(a) - sqrt(a^2*x^2 + 1))^3*a^4 + 64*(x*abs(a) - sqrt(a^2*x^2 + 1))^2*a^3*i*abs(a) + 9*(x*abs(a) - sqrt(a^2*x^2 + 1))*a^4 - 16*a^3*i*abs(a))/((x*abs(a) - sqrt(a^2*x^2 + 1))^2 - 1)^4","B",0
11,1,48,0,0.114472," ","integrate((1+I*a*x)^2/(a^2*x^2+1)*x^3,x, algorithm=""giac"")","-\frac{3 \, a^{4} x^{4} - 8 \, a^{3} i x^{3} - 12 \, a^{2} x^{2} + 24 \, a i x}{12 \, a^{4}} - \frac{2 \, \log\left(a x + i\right)}{a^{4}}"," ",0,"-1/12*(3*a^4*x^4 - 8*a^3*i*x^3 - 12*a^2*x^2 + 24*a*i*x)/a^4 - 2*log(a*x + i)/a^4","A",0
12,1,39,0,0.147487," ","integrate((1+I*a*x)^2/(a^2*x^2+1)*x^2,x, algorithm=""giac"")","-\frac{2 \, i \log\left(a x + i\right)}{a^{3}} - \frac{a^{3} x^{3} - 3 \, a^{2} i x^{2} - 6 \, a x}{3 \, a^{3}}"," ",0,"-2*i*log(a*x + i)/a^3 - 1/3*(a^3*x^3 - 3*a^2*i*x^2 - 6*a*x)/a^3","A",0
13,1,30,0,0.137824," ","integrate((1+I*a*x)^2/(a^2*x^2+1)*x,x, algorithm=""giac"")","-\frac{a^{2} x^{2} - 4 \, a i x}{2 \, a^{2}} + \frac{2 \, \log\left(a x + i\right)}{a^{2}}"," ",0,"-1/2*(a^2*x^2 - 4*a*i*x)/a^2 + 2*log(a*x + i)/a^2","A",0
14,1,16,0,0.119232," ","integrate((1+I*a*x)^2/(a^2*x^2+1),x, algorithm=""giac"")","-x + \frac{2 \, i \log\left(a x + i\right)}{a}"," ",0,"-x + 2*i*log(a*x + i)/a","A",0
15,1,15,0,0.123778," ","integrate((1+I*a*x)^2/(a^2*x^2+1)/x,x, algorithm=""giac"")","2 \, i^{2} \log\left(a x + i\right) + \log\left({\left| x \right|}\right)"," ",0,"2*i^2*log(a*x + i) + log(abs(x))","A",0
16,1,23,0,0.132439," ","integrate((1+I*a*x)^2/(a^2*x^2+1)/x^2,x, algorithm=""giac"")","-2 \, a i \log\left(a x + i\right) + 2 \, a i \log\left({\left| x \right|}\right) - \frac{1}{x}"," ",0,"-2*a*i*log(a*x + i) + 2*a*i*log(abs(x)) - 1/x","A",0
17,1,32,0,0.115473," ","integrate((1+I*a*x)^2/(a^2*x^2+1)/x^3,x, algorithm=""giac"")","2 \, a^{2} \log\left(a x + i\right) - 2 \, a^{2} \log\left({\left| x \right|}\right) - \frac{4 \, a i x + 1}{2 \, x^{2}}"," ",0,"2*a^2*log(a*x + i) - 2*a^2*log(abs(x)) - 1/2*(4*a*i*x + 1)/x^2","A",0
18,1,42,0,0.139601," ","integrate((1+I*a*x)^2/(a^2*x^2+1)/x^4,x, algorithm=""giac"")","2 \, a^{3} i \log\left(a x + i\right) - 2 \, a^{3} i \log\left({\left| x \right|}\right) + \frac{6 \, a^{2} x^{2} - 3 \, a i x - 1}{3 \, x^{3}}"," ",0,"2*a^3*i*log(a*x + i) - 2*a^3*i*log(abs(x)) + 1/3*(6*a^2*x^2 - 3*a*i*x - 1)/x^3","A",0
19,-2,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
20,0,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)*x^2,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
21,0,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)*x,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
22,0,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2),x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
23,0,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)/x,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
24,0,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)/x^2,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
25,0,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)/x^3,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
26,0,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)/x^4,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
27,1,63,0,0.121489," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2*x^3,x, algorithm=""giac"")","\frac{16 \, \log\left(a x + i\right)}{a^{4}} + \frac{4 \, i}{{\left(a x + i\right)} a^{4}} + \frac{3 \, a^{8} x^{4} - 16 \, a^{7} i x^{3} - 48 \, a^{6} x^{2} + 144 \, a^{5} i x}{12 \, a^{8}}"," ",0,"16*log(a*x + i)/a^4 + 4*i/((a*x + i)*a^4) + 1/12*(3*a^8*x^4 - 16*a^7*i*x^3 - 48*a^6*x^2 + 144*a^5*i*x)/a^8","A",0
28,1,53,0,0.123211," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2*x^2,x, algorithm=""giac"")","\frac{12 \, i \log\left(a x + i\right)}{a^{3}} - \frac{4}{{\left(a x + i\right)} a^{3}} + \frac{a^{6} x^{3} - 6 \, a^{5} i x^{2} - 24 \, a^{4} x}{3 \, a^{6}}"," ",0,"12*i*log(a*x + i)/a^3 - 4/((a*x + i)*a^3) + 1/3*(a^6*x^3 - 6*a^5*i*x^2 - 24*a^4*x)/a^6","A",0
29,1,45,0,0.136536," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2*x,x, algorithm=""giac"")","-\frac{8 \, \log\left(a x + i\right)}{a^{2}} - \frac{4 \, i}{{\left(a x + i\right)} a^{2}} + \frac{a^{4} x^{2} - 8 \, a^{3} i x}{2 \, a^{4}}"," ",0,"-8*log(a*x + i)/a^2 - 4*i/((a*x + i)*a^2) + 1/2*(a^4*x^2 - 8*a^3*i*x)/a^4","A",0
30,1,26,0,0.120904," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2,x, algorithm=""giac"")","x - \frac{4 \, i \log\left(a x + i\right)}{a} + \frac{4}{{\left(a x + i\right)} a}"," ",0,"x - 4*i*log(a*x + i)/a + 4/((a*x + i)*a)","A",0
31,1,14,0,0.131936," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2/x,x, algorithm=""giac"")","\frac{4 \, i}{a x + i} + \log\left({\left| x \right|}\right)"," ",0,"4*i/(a*x + i) + log(abs(x))","A",0
32,1,37,0,0.141361," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2/x^2,x, algorithm=""giac"")","-4 \, a i \log\left(a x + i\right) + 4 \, a i \log\left({\left| x \right|}\right) - \frac{5 \, a x + i}{a x^{2} + i x}"," ",0,"-4*a*i*log(a*x + i) + 4*a*i*log(abs(x)) - (5*a*x + i)/(a*x^2 + i*x)","A",0
33,1,47,0,0.123065," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2/x^3,x, algorithm=""giac"")","8 \, a^{2} \log\left(a x + i\right) - 8 \, a^{2} \log\left({\left| x \right|}\right) - \frac{16 \, a^{2} i x^{2} - 7 \, a x + i}{2 \, {\left(a x + i\right)} x^{2}}"," ",0,"8*a^2*log(a*x + i) - 8*a^2*log(abs(x)) - 1/2*(16*a^2*i*x^2 - 7*a*x + i)/((a*x + i)*x^2)","A",0
34,1,59,0,0.137459," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2/x^4,x, algorithm=""giac"")","12 \, a^{3} i \log\left(a x + i\right) - 12 \, a^{3} i \log\left({\left| x \right|}\right) + \frac{36 \, a^{3} x^{3} + 18 \, a^{2} i x^{2} + 5 \, a x - i}{3 \, {\left(a x + i\right)} x^{3}}"," ",0,"12*a^3*i*log(a*x + i) - 12*a^3*i*log(abs(x)) + 1/3*(36*a^3*x^3 + 18*a^2*i*x^2 + 5*a*x - i)/((a*x + i)*x^3)","A",0
35,-2,0,0,0.000000," ","integrate(x^3/(1+I*a*x)*(a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
36,-2,0,0,0.000000," ","integrate(x^2/(1+I*a*x)*(a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
37,1,54,0,0.120804," ","integrate(x/(1+I*a*x)*(a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{a^{2} x^{2} + 1} {\left(\frac{i x}{a} - \frac{2}{a^{2}}\right)} - \frac{i \log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right)}{2 \, a {\left| a \right|}}"," ",0,"-1/2*sqrt(a^2*x^2 + 1)*(i*x/a - 2/a^2) - 1/2*i*log(-x*abs(a) + sqrt(a^2*x^2 + 1))/(a*abs(a))","A",0
38,1,42,0,0.121116," ","integrate(1/(1+I*a*x)*(a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{a^{2} x^{2} + 1} i}{a} - \frac{\log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right)}{{\left| a \right|}}"," ",0,"-sqrt(a^2*x^2 + 1)*i/a - log(-x*abs(a) + sqrt(a^2*x^2 + 1))/abs(a)","A",0
39,1,68,0,0.141324," ","integrate(1/(1+I*a*x)*(a^2*x^2+1)^(1/2)/x,x, algorithm=""giac"")","\frac{a i \log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right)}{{\left| a \right|}} - \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} + 1 \right|}\right) + \log\left({\left| -x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1} - 1 \right|}\right)"," ",0,"a*i*log(-x*abs(a) + sqrt(a^2*x^2 + 1))/abs(a) - log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) + 1)) + log(abs(-x*abs(a) + sqrt(a^2*x^2 + 1) - 1))","B",0
40,-2,0,0,0.000000," ","integrate(1/(1+I*a*x)*(a^2*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
41,0,0,0,0.000000," ","integrate(1/(1+I*a*x)*(a^2*x^2+1)^(1/2)/x^3,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
42,-2,0,0,0.000000," ","integrate(1/(1+I*a*x)*(a^2*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
43,0,0,0,0.000000," ","integrate(1/(1+I*a*x)*(a^2*x^2+1)^(1/2)/x^5,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
44,1,80,0,0.116896," ","integrate(x^3/(1+I*a*x)^2*(a^2*x^2+1),x, algorithm=""giac"")","-\frac{{\left(a i x + 1\right)}^{4} {\left(\frac{20 \, i^{2}}{a i x + 1} - \frac{84 \, i^{4}}{{\left(a i x + 1\right)}^{3}} - \frac{54 \, i^{2}}{{\left(a i x + 1\right)}^{2}} + 3\right)}}{12 \, a^{4} i^{4}} + \frac{2 \, \log\left(\frac{1}{\sqrt{a^{2} x^{2} + 1} {\left| a \right|}}\right)}{a^{4}}"," ",0,"-1/12*(a*i*x + 1)^4*(20*i^2/(a*i*x + 1) - 84*i^4/(a*i*x + 1)^3 - 54*i^2/(a*i*x + 1)^2 + 3)/(a^4*i^4) + 2*log(1/(sqrt(a^2*x^2 + 1)*abs(a)))/a^4","B",0
45,1,68,0,0.116995," ","integrate(x^2/(1+I*a*x)^2*(a^2*x^2+1),x, algorithm=""giac"")","-\frac{2 \, i \log\left(\frac{1}{\sqrt{a^{2} x^{2} + 1} {\left| a \right|}}\right)}{a^{3}} - \frac{{\left(a i x + 1\right)}^{3} {\left(\frac{6 \, i^{2}}{a i x + 1} - \frac{15 \, i^{2}}{{\left(a i x + 1\right)}^{2}} + 1\right)}}{3 \, a^{3} i^{3}}"," ",0,"-2*i*log(1/(sqrt(a^2*x^2 + 1)*abs(a)))/a^3 - 1/3*(a*i*x + 1)^3*(6*i^2/(a*i*x + 1) - 15*i^2/(a*i*x + 1)^2 + 1)/(a^3*i^3)","B",0
46,1,58,0,0.129379," ","integrate(x/(1+I*a*x)^2*(a^2*x^2+1),x, algorithm=""giac"")","\frac{i {\left(\frac{4 \, i \log\left(\frac{1}{\sqrt{a^{2} x^{2} + 1} {\left| a \right|}}\right)}{a} + \frac{{\left(a i x + 1\right)}^{2} {\left(i - \frac{6 \, i}{a i x + 1}\right)}}{a i^{2}}\right)}}{2 \, a}"," ",0,"1/2*i*(4*i*log(1/(sqrt(a^2*x^2 + 1)*abs(a)))/a + (a*i*x + 1)^2*(i - 6*i/(a*i*x + 1))/(a*i^2))/a","B",0
47,1,67,0,0.133300," ","integrate(1/(1+I*a*x)^2*(a^2*x^2+1),x, algorithm=""giac"")","a^{2} {\left(\frac{{\left(a i x + 1\right)} i}{a^{3}} + \frac{2 \, i \log\left(\frac{1}{\sqrt{a^{2} x^{2} + 1} {\left| a \right|}}\right)}{a^{3}} - \frac{i}{{\left(a i x + 1\right)} a^{3}}\right)} + \frac{i}{{\left(a i x + 1\right)} a}"," ",0,"a^2*((a*i*x + 1)*i/a^3 + 2*i*log(1/(sqrt(a^2*x^2 + 1)*abs(a)))/a^3 - i/((a*i*x + 1)*a^3)) + i/((a*i*x + 1)*a)","B",0
48,1,47,0,0.130800," ","integrate(1/(1+I*a*x)^2*(a^2*x^2+1)/x,x, algorithm=""giac"")","-a i {\left(\frac{i \log\left(-i + \frac{i}{a i x + 1}\right)}{a} + \frac{i \log\left(\frac{1}{\sqrt{a^{2} x^{2} + 1} {\left| a \right|}}\right)}{a}\right)}"," ",0,"-a*i*(i*log(-i + i/(a*i*x + 1))/a + i*log(1/(sqrt(a^2*x^2 + 1)*abs(a)))/a)","B",0
49,1,37,0,0.132765," ","integrate(1/(1+I*a*x)^2*(a^2*x^2+1)/x^2,x, algorithm=""giac"")","-2 \, a i \log\left(-i + \frac{i}{a i x + 1}\right) + \frac{a}{i - \frac{i}{a i x + 1}}"," ",0,"-2*a*i*log(-i + i/(a*i*x + 1)) + a/(i - i/(a*i*x + 1))","A",0
50,1,63,0,0.132604," ","integrate(1/(1+I*a*x)^2*(a^2*x^2+1)/x^3,x, algorithm=""giac"")","2 \, a^{2} i^{2} \log\left(\frac{i^{2}}{a i x + 1} + 1\right) + \frac{\frac{6 \, a^{2} i^{2}}{a i x + 1} + 5 \, a^{2}}{2 \, {\left(i - \frac{i}{a i x + 1}\right)}^{2}}"," ",0,"2*a^2*i^2*log(i^2/(a*i*x + 1) + 1) + 1/2*(6*a^2*i^2/(a*i*x + 1) + 5*a^2)/(i - i/(a*i*x + 1))^2","B",0
51,1,77,0,0.135559," ","integrate(1/(1+I*a*x)^2*(a^2*x^2+1)/x^4,x, algorithm=""giac"")","2 \, a^{3} i \log\left(-i + \frac{i}{a i x + 1}\right) + \frac{\frac{24 \, a^{3} i^{2}}{a i x + 1} + 10 \, a^{3} - \frac{15 \, a^{3} i^{2}}{{\left(a i x + 1\right)}^{2}}}{3 \, {\left(i - \frac{i}{a i x + 1}\right)}^{3}}"," ",0,"2*a^3*i*log(-i + i/(a*i*x + 1)) + 1/3*(24*a^3*i^2/(a*i*x + 1) + 10*a^3 - 15*a^3*i^2/(a*i*x + 1)^2)/(i - i/(a*i*x + 1))^3","A",0
52,-2,0,0,0.000000," ","integrate(x^3/(1+I*a*x)^3*(a^2*x^2+1)^(3/2),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
53,0,0,0,0.000000," ","integrate(x^2/(1+I*a*x)^3*(a^2*x^2+1)^(3/2),x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
54,0,0,0,0.000000," ","integrate(x/(1+I*a*x)^3*(a^2*x^2+1)^(3/2),x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
55,0,0,0,0.000000," ","integrate(1/(1+I*a*x)^3*(a^2*x^2+1)^(3/2),x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
56,0,0,0,0.000000," ","integrate(1/(1+I*a*x)^3*(a^2*x^2+1)^(3/2)/x,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
57,0,0,0,0.000000," ","integrate(1/(1+I*a*x)^3*(a^2*x^2+1)^(3/2)/x^2,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
58,0,0,0,0.000000," ","integrate(1/(1+I*a*x)^3*(a^2*x^2+1)^(3/2)/x^3,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
59,0,0,0,0.000000," ","integrate(1/(1+I*a*x)^3*(a^2*x^2+1)^(3/2)/x^4,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
60,0,0,0,0.000000," ","integrate(1/(1+I*a*x)^3*(a^2*x^2+1)^(3/2)/x^5,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
61,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
62,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
63,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
64,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
65,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
66,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
67,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
68,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
69,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
70,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)*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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
71,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
72,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)*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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
73,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
74,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
75,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
76,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
77,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
78,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
79,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
80,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)*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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
81,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
82,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),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
83,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
84,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
85,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
86,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
87,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
88,-2,0,0,0.000000," ","integrate(x^3/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
89,-2,0,0,0.000000," ","integrate(x^2/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
90,-2,0,0,0.000000," ","integrate(x/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
91,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
92,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
93,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
94,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
95,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
96,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
97,-2,0,0,0.000000," ","integrate(x^3/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),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
98,-2,0,0,0.000000," ","integrate(x^2/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),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
99,-2,0,0,0.000000," ","integrate(x/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
100,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),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
101,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
102,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
103,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
104,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
105,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
106,-2,0,0,0.000000," ","integrate(x^3/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),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
107,-2,0,0,0.000000," ","integrate(x^2/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
108,-2,0,0,0.000000," ","integrate(x/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),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
109,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
110,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
111,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
112,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
113,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
114,-2,0,0,0.000000," ","integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
115,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(1/3)*x^2,x, algorithm=""giac"")","\int x^{2} \left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate(x^2*((I*x + 1)/sqrt(x^2 + 1))^(1/3), x)","F",0
116,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(1/3)*x,x, algorithm=""giac"")","\int x \left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate(x*((I*x + 1)/sqrt(x^2 + 1))^(1/3), x)","F",0
117,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(1/3),x, algorithm=""giac"")","\int \left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate(((I*x + 1)/sqrt(x^2 + 1))^(1/3), x)","F",0
118,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(1/3)/x,x, algorithm=""giac"")","\int \frac{\left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{1}{3}}}{x}\,{d x}"," ",0,"integrate(((I*x + 1)/sqrt(x^2 + 1))^(1/3)/x, x)","F",0
119,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(1/3)/x^2,x, algorithm=""giac"")","\int \frac{\left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{1}{3}}}{x^{2}}\,{d x}"," ",0,"integrate(((I*x + 1)/sqrt(x^2 + 1))^(1/3)/x^2, x)","F",0
120,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(1/3)/x^3,x, algorithm=""giac"")","\int \frac{\left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{1}{3}}}{x^{3}}\,{d x}"," ",0,"integrate(((I*x + 1)/sqrt(x^2 + 1))^(1/3)/x^3, x)","F",0
121,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(1/3)/x^4,x, algorithm=""giac"")","\int \frac{\left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{1}{3}}}{x^{4}}\,{d x}"," ",0,"integrate(((I*x + 1)/sqrt(x^2 + 1))^(1/3)/x^4, x)","F",0
122,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(2/3)*x^2,x, algorithm=""giac"")","\int x^{2} \left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate(x^2*((I*x + 1)/sqrt(x^2 + 1))^(2/3), x)","F",0
123,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(2/3)*x,x, algorithm=""giac"")","\int x \left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate(x*((I*x + 1)/sqrt(x^2 + 1))^(2/3), x)","F",0
124,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(2/3),x, algorithm=""giac"")","\int \left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate(((I*x + 1)/sqrt(x^2 + 1))^(2/3), x)","F",0
125,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(2/3)/x,x, algorithm=""giac"")","\int \frac{\left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{2}{3}}}{x}\,{d x}"," ",0,"integrate(((I*x + 1)/sqrt(x^2 + 1))^(2/3)/x, x)","F",0
126,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(2/3)/x^2,x, algorithm=""giac"")","\int \frac{\left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{2}{3}}}{x^{2}}\,{d x}"," ",0,"integrate(((I*x + 1)/sqrt(x^2 + 1))^(2/3)/x^2, x)","F",0
127,0,0,0,0.000000," ","integrate(((1+I*x)/(x^2+1)^(1/2))^(2/3)/x^3,x, algorithm=""giac"")","\int \frac{\left(\frac{i \, x + 1}{\sqrt{x^{2} + 1}}\right)^{\frac{2}{3}}}{x^{3}}\,{d x}"," ",0,"integrate(((I*x + 1)/sqrt(x^2 + 1))^(2/3)/x^3, x)","F",0
128,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)*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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
129,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)*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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
130,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
131,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
132,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
133,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
134,0,0,0,0.000000," ","integrate((1+I*a*x)^6/(a^2*x^2+1)^3*x^m,x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)}^{6} x^{m}}{{\left(a^{2} x^{2} + 1\right)}^{3}}\,{d x}"," ",0,"integrate((I*a*x + 1)^6*x^m/(a^2*x^2 + 1)^3, x)","F",0
135,0,0,0,0.000000," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2*x^m,x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)}^{4} x^{m}}{{\left(a^{2} x^{2} + 1\right)}^{2}}\,{d x}"," ",0,"integrate((I*a*x + 1)^4*x^m/(a^2*x^2 + 1)^2, x)","F",0
136,0,0,0,0.000000," ","integrate((1+I*a*x)^2/(a^2*x^2+1)*x^m,x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)}^{2} x^{m}}{a^{2} x^{2} + 1}\,{d x}"," ",0,"integrate((I*a*x + 1)^2*x^m/(a^2*x^2 + 1), x)","F",0
137,0,0,0,0.000000," ","integrate(x^m/(1+I*a*x)^2*(a^2*x^2+1),x, algorithm=""giac"")","\int \frac{{\left(a^{2} x^{2} + 1\right)} x^{m}}{{\left(i \, a x + 1\right)}^{2}}\,{d x}"," ",0,"integrate((a^2*x^2 + 1)*x^m/(I*a*x + 1)^2, x)","F",0
138,0,0,0,0.000000," ","integrate(x^m/(1+I*a*x)^4*(a^2*x^2+1)^2,x, algorithm=""giac"")","\int \frac{{\left(a^{2} x^{2} + 1\right)}^{2} x^{m}}{{\left(i \, a x + 1\right)}^{4}}\,{d x}"," ",0,"integrate((a^2*x^2 + 1)^2*x^m/(I*a*x + 1)^4, x)","F",0
139,0,0,0,0.000000," ","integrate(x^m/(1+I*a*x)^6*(a^2*x^2+1)^3,x, algorithm=""giac"")","\int \frac{{\left(a^{2} x^{2} + 1\right)}^{3} x^{m}}{{\left(i \, a x + 1\right)}^{6}}\,{d x}"," ",0,"integrate((a^2*x^2 + 1)^3*x^m/(I*a*x + 1)^6, x)","F",0
140,-2,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)*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
141,0,0,0,0.000000," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)*x^m,x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)} x^{m}}{\sqrt{a^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate((I*a*x + 1)*x^m/sqrt(a^2*x^2 + 1), x)","F",0
142,0,0,0,0.000000," ","integrate(x^m/(1+I*a*x)*(a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\int \frac{\sqrt{a^{2} x^{2} + 1} x^{m}}{i \, a x + 1}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 + 1)*x^m/(I*a*x + 1), x)","F",0
143,-2,0,0,0.000000," ","integrate(x^m/(1+I*a*x)^3*(a^2*x^2+1)^(3/2),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
144,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)*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
145,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)*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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
146,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
147,-2,0,0,0.000000," ","integrate(x^m/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
148,-2,0,0,0.000000," ","integrate(x^m/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
149,-2,0,0,0.000000," ","integrate(x^m/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
150,0,0,0,0.000000," ","integrate(exp(2/3*arctan(x))*x^m,x, algorithm=""giac"")","\int x^{m} e^{\left(\frac{2}{3} \, \arctan\left(x\right)\right)}\,{d x}"," ",0,"integrate(x^m*e^(2/3*arctan(x)), x)","F",0
151,0,0,0,0.000000," ","integrate(exp(1/3*arctan(x))*x^m,x, algorithm=""giac"")","\int x^{m} e^{\left(\frac{1}{3} \, \arctan\left(x\right)\right)}\,{d x}"," ",0,"integrate(x^m*e^(1/3*arctan(x)), x)","F",0
152,-2,0,0,0.000000," ","integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)*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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0]index.cc index_m operator + Error: Bad Argument ValueDone","F(-2)",0
153,0,0,0,0.000000," ","integrate(exp(I*n*arctan(a*x))*x^m,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
154,0,0,0,0.000000," ","integrate(exp(I*n*arctan(a*x))*x^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
155,0,0,0,0.000000," ","integrate(exp(I*n*arctan(a*x))*x^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
156,0,0,0,0.000000," ","integrate(exp(I*n*arctan(a*x))*x,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
157,0,0,0,0.000000," ","integrate(exp(I*n*arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
158,-1,0,0,0.000000," ","integrate(exp(I*n*arctan(a*x))/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
159,-1,0,0,0.000000," ","integrate(exp(I*n*arctan(a*x))/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
160,-1,0,0,0.000000," ","integrate(exp(I*n*arctan(a*x))/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
161,-1,0,0,0.000000," ","integrate(exp(I*n*arctan(a*x))/x^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,1,214,0,0.196193," ","integrate((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2)*x^4,x, algorithm=""giac"")","\frac{1}{120} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(2 \, {\left(3 \, {\left(\frac{4 \, i x}{b} - \frac{4 \, a b^{7} i - 5 \, b^{7}}{b^{9}}\right)} x + \frac{12 \, a^{2} b^{6} i - 35 \, a b^{6} - 16 \, b^{6} i}{b^{9}}\right)} x - \frac{24 \, a^{3} b^{5} i - 130 \, a^{2} b^{5} - 116 \, a b^{5} i + 45 \, b^{5}}{b^{9}}\right)} x + \frac{24 \, a^{4} b^{4} i - 250 \, a^{3} b^{4} - 332 \, a^{2} b^{4} i + 275 \, a b^{4} + 64 \, b^{4} i}{b^{9}}\right)} - \frac{{\left(8 \, a^{4} + 16 \, a^{3} i - 24 \, a^{2} - 12 \, a i + 3\right)} \log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{8 \, b^{4} {\left| b \right|}}"," ",0,"1/120*sqrt((b*x + a)^2 + 1)*((2*(3*(4*i*x/b - (4*a*b^7*i - 5*b^7)/b^9)*x + (12*a^2*b^6*i - 35*a*b^6 - 16*b^6*i)/b^9)*x - (24*a^3*b^5*i - 130*a^2*b^5 - 116*a*b^5*i + 45*b^5)/b^9)*x + (24*a^4*b^4*i - 250*a^3*b^4 - 332*a^2*b^4*i + 275*a*b^4 + 64*b^4*i)/b^9) - 1/8*(8*a^4 + 16*a^3*i - 24*a^2 - 12*a*i + 3)*log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b^4*abs(b))","A",0
163,1,163,0,0.868318," ","integrate((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2)*x^3,x, algorithm=""giac"")","\frac{1}{24} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(2 \, {\left(\frac{3 \, i x}{b} - \frac{3 \, a b^{5} i - 4 \, b^{5}}{b^{7}}\right)} x + \frac{6 \, a^{2} b^{4} i - 20 \, a b^{4} - 9 \, b^{4} i}{b^{7}}\right)} x - \frac{6 \, a^{3} b^{3} i - 44 \, a^{2} b^{3} - 39 \, a b^{3} i + 16 \, b^{3}}{b^{7}}\right)} + \frac{{\left(8 \, a^{3} + 12 \, a^{2} i - 12 \, a - 3 \, i\right)} \log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{8 \, b^{3} {\left| b \right|}}"," ",0,"1/24*sqrt((b*x + a)^2 + 1)*((2*(3*i*x/b - (3*a*b^5*i - 4*b^5)/b^7)*x + (6*a^2*b^4*i - 20*a*b^4 - 9*b^4*i)/b^7)*x - (6*a^3*b^3*i - 44*a^2*b^3 - 39*a*b^3*i + 16*b^3)/b^7) + 1/8*(8*a^3 + 12*a^2*i - 12*a - 3*i)*log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b^3*abs(b))","A",0
164,1,117,0,0.195319," ","integrate((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2)*x^2,x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(\frac{2 \, i x}{b} - \frac{2 \, a b^{3} i - 3 \, b^{3}}{b^{5}}\right)} x + \frac{2 \, a^{2} b^{2} i - 9 \, a b^{2} - 4 \, b^{2} i}{b^{5}}\right)} - \frac{{\left(2 \, a^{2} + 2 \, a i - 1\right)} \log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{2 \, b^{2} {\left| b \right|}}"," ",0,"1/6*sqrt((b*x + a)^2 + 1)*((2*i*x/b - (2*a*b^3*i - 3*b^3)/b^5)*x + (2*a^2*b^2*i - 9*a*b^2 - 4*b^2*i)/b^5) - 1/2*(2*a^2 + 2*a*i - 1)*log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b^2*abs(b))","A",0
165,1,76,0,0.187950," ","integrate((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2)*x,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left(\frac{i x}{b} - \frac{a b i - 2 \, b}{b^{3}}\right)} + \frac{{\left(2 \, a + i\right)} \log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{2 \, b {\left| b \right|}}"," ",0,"1/2*sqrt((b*x + a)^2 + 1)*(i*x/b - (a*b*i - 2*b)/b^3) + 1/2*(2*a + i)*log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b*abs(b))","A",0
166,1,51,0,0.482146," ","integrate((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{{\left(b x + a\right)}^{2} + 1} i}{b} - \frac{\log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{{\left| b \right|}}"," ",0,"sqrt((b*x + a)^2 + 1)*i/b - log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/abs(b)","A",0
167,1,112,0,3.918896," ","integrate((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2)/x,x, algorithm=""giac"")","-\frac{b i \log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{{\left| b \right|}} + \frac{{\left(a i + 1\right)} \log\left(\frac{{\left| -2 \, x {\left| b \right|} + 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} - 2 \, \sqrt{a^{2} + 1} \right|}}{{\left| -2 \, x {\left| b \right|} + 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} + 2 \, \sqrt{a^{2} + 1} \right|}}\right)}{\sqrt{a^{2} + 1}}"," ",0,"-b*i*log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/abs(b) + (a*i + 1)*log(abs(-2*x*abs(b) + 2*sqrt((b*x + a)^2 + 1) - 2*sqrt(a^2 + 1))/abs(-2*x*abs(b) + 2*sqrt((b*x + a)^2 + 1) + 2*sqrt(a^2 + 1)))/sqrt(a^2 + 1)","A",0
168,1,145,0,0.232012," ","integrate((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2)/x^2,x, algorithm=""giac"")","\frac{b \log\left(\frac{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} - 2 \, \sqrt{a^{2} + 1} \right|}}{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} + 2 \, \sqrt{a^{2} + 1} \right|}}\right)}{\sqrt{a^{2} + 1} {\left(a + i\right)}} - \frac{2 \, {\left({\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a b + a^{2} {\left| b \right|} + {\left| b \right|}\right)}}{{\left({\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} - a^{2} - 1\right)} {\left(a i - 1\right)}}"," ",0,"b*log(abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) - 2*sqrt(a^2 + 1))/abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) + 2*sqrt(a^2 + 1)))/(sqrt(a^2 + 1)*(a + i)) - 2*((x*abs(b) - sqrt((b*x + a)^2 + 1))*a*b + a^2*abs(b) + abs(b))/(((x*abs(b) - sqrt((b*x + a)^2 + 1))^2 - a^2 - 1)*(a*i - 1))","A",0
169,1,475,0,0.217740," ","integrate((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2)/x^3,x, algorithm=""giac"")","-\frac{{\left(2 \, a b^{2} - b^{2} i\right)} \log\left(\frac{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} - 2 \, \sqrt{a^{2} + 1} \right|}}{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} + 2 \, \sqrt{a^{2} + 1} \right|}}\right)}{2 \, {\left(a^{3} + a^{2} i + a + i\right)} \sqrt{a^{2} + 1}} + \frac{4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{4} b^{2} i + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{3} b i {\left| b \right|} + 2 \, a^{5} b i {\left| b \right|} - 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a b^{2} + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{3} b^{2} + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} b^{2} i + 5 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} b^{2} i - 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{2} b {\left| b \right|} + 2 \, a^{4} b {\left| b \right|} + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b i {\left| b \right|} + 4 \, a^{3} b i {\left| b \right|} + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a b^{2} + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} b^{2} i - 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b {\left| b \right|} + 4 \, a^{2} b {\left| b \right|} + 2 \, a b i {\left| b \right|} + 2 \, b {\left| b \right|}}{{\left(a^{3} + a^{2} i + a + i\right)} {\left({\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} - a^{2} - 1\right)}^{2}}"," ",0,"-1/2*(2*a*b^2 - b^2*i)*log(abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) - 2*sqrt(a^2 + 1))/abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) + 2*sqrt(a^2 + 1)))/((a^3 + a^2*i + a + i)*sqrt(a^2 + 1)) + (4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^4*b^2*i + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^3*b*i*abs(b) + 2*a^5*b*i*abs(b) - 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a*b^2 + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^3*b^2 + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*b^2*i + 5*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*b^2*i - 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^2*b*abs(b) + 2*a^4*b*abs(b) + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b*i*abs(b) + 4*a^3*b*i*abs(b) + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*b^2 + (x*abs(b) - sqrt((b*x + a)^2 + 1))*b^2*i - 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b*abs(b) + 4*a^2*b*abs(b) + 2*a*b*i*abs(b) + 2*b*abs(b))/((a^3 + a^2*i + a + i)*((x*abs(b) - sqrt((b*x + a)^2 + 1))^2 - a^2 - 1)^2)","B",0
170,1,900,0,0.289150," ","integrate((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2)/x^4,x, algorithm=""giac"")","\frac{{\left(2 \, a^{2} b^{3} - 2 \, a b^{3} i - b^{3}\right)} \log\left(\frac{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} - 2 \, \sqrt{a^{2} + 1} \right|}}{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} + 2 \, \sqrt{a^{2} + 1} \right|}}\right)}{2 \, {\left(a^{5} + a^{4} i + 2 \, a^{3} + 2 \, a^{2} i + a + i\right)} \sqrt{a^{2} + 1}} + \frac{8 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a^{5} b^{3} i + 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{7} b^{3} i + 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{6} b^{2} i {\left| b \right|} + 8 \, a^{8} b^{2} i {\left| b \right|} + 6 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{5} a^{2} b^{3} - 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a^{4} b^{3} + 18 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{6} b^{3} - 6 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{5} a b^{3} i + 32 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a^{3} b^{3} i + 54 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{5} b^{3} i - 12 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{5} b^{2} {\left| b \right|} + 12 \, a^{7} b^{2} {\left| b \right|} + 60 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{4} b^{2} i {\left| b \right|} + 20 \, a^{6} b^{2} i {\left| b \right|} - 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{5} b^{3} - 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a^{2} b^{3} + 39 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{4} b^{3} + 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a b^{3} i + 36 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{3} b^{3} i - 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{3} b^{2} {\left| b \right|} + 36 \, a^{5} b^{2} {\left| b \right|} + 48 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{2} b^{2} i {\left| b \right|} + 12 \, a^{4} b^{2} i {\left| b \right|} + 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} b^{3} + 6 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a b^{3} i - 12 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b^{2} {\left| b \right|} + 36 \, a^{3} b^{2} {\left| b \right|} + 12 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b^{2} i {\left| b \right|} - 4 \, a^{2} b^{2} i {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} b^{3} + 12 \, a b^{2} {\left| b \right|} - 4 \, b^{2} i {\left| b \right|}}{3 \, {\left(a^{5} + a^{4} i + 2 \, a^{3} + 2 \, a^{2} i + a + i\right)} {\left({\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} - a^{2} - 1\right)}^{3}}"," ",0,"1/2*(2*a^2*b^3 - 2*a*b^3*i - b^3)*log(abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) - 2*sqrt(a^2 + 1))/abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) + 2*sqrt(a^2 + 1)))/((a^5 + a^4*i + 2*a^3 + 2*a^2*i + a + i)*sqrt(a^2 + 1)) + 1/3*(8*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a^5*b^3*i + 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^7*b^3*i + 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^6*b^2*i*abs(b) + 8*a^8*b^2*i*abs(b) + 6*(x*abs(b) - sqrt((b*x + a)^2 + 1))^5*a^2*b^3 - 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a^4*b^3 + 18*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^6*b^3 - 6*(x*abs(b) - sqrt((b*x + a)^2 + 1))^5*a*b^3*i + 32*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a^3*b^3*i + 54*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^5*b^3*i - 12*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^5*b^2*abs(b) + 12*a^7*b^2*abs(b) + 60*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^4*b^2*i*abs(b) + 20*a^6*b^2*i*abs(b) - 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^5*b^3 - 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a^2*b^3 + 39*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^4*b^3 + 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a*b^3*i + 36*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^3*b^3*i - 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^3*b^2*abs(b) + 36*a^5*b^2*abs(b) + 48*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^2*b^2*i*abs(b) + 12*a^4*b^2*i*abs(b) + 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*b^3 + 6*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*b^3*i - 12*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b^2*abs(b) + 36*a^3*b^2*abs(b) + 12*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b^2*i*abs(b) - 4*a^2*b^2*i*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*b^3 + 12*a*b^2*abs(b) - 4*b^2*i*abs(b))/((a^5 + a^4*i + 2*a^3 + 2*a^2*i + a + i)*((x*abs(b) - sqrt((b*x + a)^2 + 1))^2 - a^2 - 1)^3)","B",0
171,1,130,0,0.124664," ","integrate((1+I*(b*x+a))^2/(1+(b*x+a)^2)*x^4,x, algorithm=""giac"")","\frac{2 \, {\left(a^{4} i - 4 \, a^{3} - 6 \, a^{2} i + 4 \, a + i\right)} \log\left(b x + a + i\right)}{b^{5}} - \frac{6 \, b^{5} x^{5} - 15 \, b^{4} i x^{4} + 20 \, a b^{3} i x^{3} - 30 \, a^{2} b^{2} i x^{2} + 60 \, a^{3} b i x - 20 \, b^{3} x^{3} + 60 \, a b^{2} x^{2} + 30 \, b^{2} i x^{2} - 180 \, a^{2} b x - 180 \, a b i x + 60 \, b x}{30 \, b^{5}}"," ",0,"2*(a^4*i - 4*a^3 - 6*a^2*i + 4*a + i)*log(b*x + a + i)/b^5 - 1/30*(6*b^5*x^5 - 15*b^4*i*x^4 + 20*a*b^3*i*x^3 - 30*a^2*b^2*i*x^2 + 60*a^3*b*i*x - 20*b^3*x^3 + 60*a*b^2*x^2 + 30*b^2*i*x^2 - 180*a^2*b*x - 180*a*b*i*x + 60*b*x)/b^5","A",0
172,1,88,0,0.134110," ","integrate((1+I*(b*x+a))^2/(1+(b*x+a)^2)*x^3,x, algorithm=""giac"")","-\frac{2 \, {\left(a^{3} i - 3 \, a^{2} - 3 \, a i + 1\right)} \log\left(b x + a + i\right)}{b^{4}} - \frac{3 \, b^{4} x^{4} - 8 \, b^{3} i x^{3} + 12 \, a b^{2} i x^{2} - 24 \, a^{2} b i x - 12 \, b^{2} x^{2} + 48 \, a b x + 24 \, b i x}{12 \, b^{4}}"," ",0,"-2*(a^3*i - 3*a^2 - 3*a*i + 1)*log(b*x + a + i)/b^4 - 1/12*(3*b^4*x^4 - 8*b^3*i*x^3 + 12*a*b^2*i*x^2 - 24*a^2*b*i*x - 12*b^2*x^2 + 48*a*b*x + 24*b*i*x)/b^4","A",0
173,1,57,0,0.135079," ","integrate((1+I*(b*x+a))^2/(1+(b*x+a)^2)*x^2,x, algorithm=""giac"")","\frac{2 \, {\left(a^{2} i - 2 \, a - i\right)} \log\left(b x + a + i\right)}{b^{3}} - \frac{b^{3} x^{3} - 3 \, b^{2} i x^{2} + 6 \, a b i x - 6 \, b x}{3 \, b^{3}}"," ",0,"2*(a^2*i - 2*a - i)*log(b*x + a + i)/b^3 - 1/3*(b^3*x^3 - 3*b^2*i*x^2 + 6*a*b*i*x - 6*b*x)/b^3","A",0
174,1,36,0,0.133214," ","integrate((1+I*(b*x+a))^2/(1+(b*x+a)^2)*x,x, algorithm=""giac"")","-\frac{2 \, {\left(a i - 1\right)} \log\left(b x + a + i\right)}{b^{2}} - \frac{b^{2} x^{2} - 4 \, b i x}{2 \, b^{2}}"," ",0,"-2*(a*i - 1)*log(b*x + a + i)/b^2 - 1/2*(b^2*x^2 - 4*b*i*x)/b^2","A",0
175,1,17,0,0.119356," ","integrate((1+I*(b*x+a))^2/(1+(b*x+a)^2),x, algorithm=""giac"")","-x + \frac{2 \, i \log\left(b x + a + i\right)}{b}"," ",0,"-x + 2*i*log(b*x + a + i)/b","A",0
176,1,36,0,0.121146," ","integrate((1+I*(b*x+a))^2/(1+(b*x+a)^2)/x,x, algorithm=""giac"")","-\frac{2 \, b i \log\left(b x + a + i\right)}{a b + b i} - \frac{{\left(a - i\right)} \log\left({\left| x \right|}\right)}{a + i}"," ",0,"-2*b*i*log(b*x + a + i)/(a*b + b*i) - (a - i)*log(abs(x))/(a + i)","A",0
177,1,68,0,0.121528," ","integrate((1+I*(b*x+a))^2/(1+(b*x+a)^2)/x^2,x, algorithm=""giac"")","-\frac{2 \, b^{2} \log\left(b x + a + i\right)}{a^{2} b i - 2 \, a b - b i} + \frac{2 \, b \log\left({\left| x \right|}\right)}{a^{2} i - 2 \, a - i} - \frac{{\left(a^{2} i + i\right)} i}{{\left(a + i\right)}^{2} x}"," ",0,"-2*b^2*log(b*x + a + i)/(a^2*b*i - 2*a*b - b*i) + 2*b*log(abs(x))/(a^2*i - 2*a - i) - (a^2*i + i)*i/((a + i)^2*x)","A",0
178,1,98,0,0.121975," ","integrate((1+I*(b*x+a))^2/(1+(b*x+a)^2)/x^3,x, algorithm=""giac"")","\frac{2 \, b^{3} \log\left(b x + a + i\right)}{a^{3} b i - 3 \, a^{2} b - 3 \, a b i + b} - \frac{2 \, b^{2} \log\left({\left| x \right|}\right)}{a^{3} i - 3 \, a^{2} - 3 \, a i + 1} + \frac{a^{3} i - a^{2} + a i - 4 \, {\left(a b + b i\right)} x - 1}{2 \, {\left(a + i\right)}^{3} i x^{2}}"," ",0,"2*b^3*log(b*x + a + i)/(a^3*b*i - 3*a^2*b - 3*a*b*i + b) - 2*b^2*log(abs(x))/(a^3*i - 3*a^2 - 3*a*i + 1) + 1/2*(a^3*i - a^2 + a*i - 4*(a*b + b*i)*x - 1)/((a + i)^3*i*x^2)","A",0
179,1,136,0,0.123397," ","integrate((1+I*(b*x+a))^2/(1+(b*x+a)^2)/x^4,x, algorithm=""giac"")","-\frac{2 \, b^{4} \log\left(b x + a + i\right)}{a^{4} b i - 4 \, a^{3} b - 6 \, a^{2} b i + 4 \, a b + b i} + \frac{2 \, b^{3} \log\left({\left| x \right|}\right)}{a^{4} i - 4 \, a^{3} - 6 \, a^{2} i + 4 \, a + i} + \frac{a^{4} i - 2 \, a^{3} + 6 \, {\left(a b^{2} + b^{2} i\right)} x^{2} - 3 \, {\left(a^{2} b + 2 \, a b i - b\right)} x - 2 \, a - i}{3 \, {\left(a + i\right)}^{4} i x^{3}}"," ",0,"-2*b^4*log(b*x + a + i)/(a^4*b*i - 4*a^3*b - 6*a^2*b*i + 4*a*b + b*i) + 2*b^3*log(abs(x))/(a^4*i - 4*a^3 - 6*a^2*i + 4*a + i) + 1/3*(a^4*i - 2*a^3 + 6*(a*b^2 + b^2*i)*x^2 - 3*(a^2*b + 2*a*b*i - b)*x - 2*a - i)/((a + i)^4*i*x^3)","A",0
180,1,345,0,0.211519," ","integrate((1+I*(b*x+a))^3/(1+(b*x+a)^2)^(3/2)*x^4,x, algorithm=""giac"")","-\frac{1}{40} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(2 \, {\left({\left(\frac{4 \, i x}{b} - \frac{4 \, a b^{17} i - 15 \, b^{17}}{b^{19}}\right)} x + \frac{4 \, a^{2} b^{16} i - 35 \, a b^{16} - 32 \, b^{16} i}{b^{19}}\right)} x - \frac{8 \, a^{3} b^{15} i - 130 \, a^{2} b^{15} - 252 \, a b^{15} i + 125 \, b^{15}}{b^{19}}\right)} x + \frac{8 \, a^{4} b^{14} i - 250 \, a^{3} b^{14} - 804 \, a^{2} b^{14} i + 835 \, a b^{14} + 288 \, b^{14} i}{b^{19}}\right)} + \frac{{\left(8 \, a^{4} + 48 \, a^{3} i - 88 \, a^{2} - 68 \, a i + 19\right)} \log\left(3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b + a^{3} b + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b i + 2 \, a^{2} b i + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} {\left| b \right|} + 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a i {\left| b \right|} - a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{8 \, b^{4} {\left| b \right|}}"," ",0,"-1/40*sqrt((b*x + a)^2 + 1)*((2*((4*i*x/b - (4*a*b^17*i - 15*b^17)/b^19)*x + (4*a^2*b^16*i - 35*a*b^16 - 32*b^16*i)/b^19)*x - (8*a^3*b^15*i - 130*a^2*b^15 - 252*a*b^15*i + 125*b^15)/b^19)*x + (8*a^4*b^14*i - 250*a^3*b^14 - 804*a^2*b^14*i + 835*a*b^14 + 288*b^14*i)/b^19) + 1/8*(8*a^4 + 48*a^3*i - 88*a^2 - 68*a*i + 19)*log(3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b + a^3*b + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b*i + 2*a^2*b*i + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*abs(b) + 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*i*abs(b) - a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b^4*abs(b))","A",0
181,1,293,0,0.186001," ","integrate((1+I*(b*x+a))^3/(1+(b*x+a)^2)^(3/2)*x^3,x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(2 \, {\left(\frac{i x}{b} - \frac{a b^{11} i - 4 \, b^{11}}{b^{13}}\right)} x + \frac{2 \, a^{2} b^{10} i - 20 \, a b^{10} - 19 \, b^{10} i}{b^{13}}\right)} x - \frac{2 \, a^{3} b^{9} i - 44 \, a^{2} b^{9} - 93 \, a b^{9} i + 48 \, b^{9}}{b^{13}}\right)} - \frac{{\left(8 \, a^{3} + 36 \, a^{2} i - 44 \, a - 17 \, i\right)} \log\left(3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b + a^{3} b + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b i + 2 \, a^{2} b i + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} {\left| b \right|} + 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a i {\left| b \right|} - a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{8 \, b^{3} {\left| b \right|}}"," ",0,"-1/8*sqrt((b*x + a)^2 + 1)*((2*(i*x/b - (a*b^11*i - 4*b^11)/b^13)*x + (2*a^2*b^10*i - 20*a*b^10 - 19*b^10*i)/b^13)*x - (2*a^3*b^9*i - 44*a^2*b^9 - 93*a*b^9*i + 48*b^9)/b^13) - 1/8*(8*a^3 + 36*a^2*i - 44*a - 17*i)*log(3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b + a^3*b + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b*i + 2*a^2*b*i + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*abs(b) + 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*i*abs(b) - a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b^3*abs(b))","A",0
182,1,249,0,0.190550," ","integrate((1+I*(b*x+a))^3/(1+(b*x+a)^2)^(3/2)*x^2,x, algorithm=""giac"")","-\frac{1}{6} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(\frac{2 \, i x}{b} - \frac{2 \, a b^{6} i - 9 \, b^{6}}{b^{8}}\right)} x + \frac{2 \, a^{2} b^{5} i - 27 \, a b^{5} - 28 \, b^{5} i}{b^{8}}\right)} + \frac{{\left(6 \, a^{2} + 18 \, a i - 11\right)} \log\left(3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b + a^{3} b + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b i + 2 \, a^{2} b i + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} {\left| b \right|} + 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a i {\left| b \right|} - a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{6 \, b^{2} {\left| b \right|}}"," ",0,"-1/6*sqrt((b*x + a)^2 + 1)*((2*i*x/b - (2*a*b^6*i - 9*b^6)/b^8)*x + (2*a^2*b^5*i - 27*a*b^5 - 28*b^5*i)/b^8) + 1/6*(6*a^2 + 18*a*i - 11)*log(3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b + a^3*b + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b*i + 2*a^2*b*i + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*abs(b) + 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*i*abs(b) - a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b^2*abs(b))","A",0
183,1,214,0,0.192112," ","integrate((1+I*(b*x+a))^3/(1+(b*x+a)^2)^(3/2)*x,x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left(\frac{i x}{b} - \frac{a b^{2} i - 6 \, b^{2}}{b^{4}}\right)} - \frac{{\left(2 \, a + 3 \, i\right)} \log\left(3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b + a^{3} b + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b i + 2 \, a^{2} b i + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} {\left| b \right|} + 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a i {\left| b \right|} - a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{2 \, b {\left| b \right|}}"," ",0,"-1/2*sqrt((b*x + a)^2 + 1)*(i*x/b - (a*b^2*i - 6*b^2)/b^4) - 1/2*(2*a + 3*i)*log(3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b + a^3*b + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b*i + 2*a^2*b*i + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*abs(b) + 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*i*abs(b) - a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b*abs(b))","A",0
184,1,183,0,0.210515," ","integrate((1+I*(b*x+a))^3/(1+(b*x+a)^2)^(3/2),x, algorithm=""giac"")","-\frac{\sqrt{{\left(b x + a\right)}^{2} + 1} i}{b} + \frac{\log\left(3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b + a^{3} b + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b i + 2 \, a^{2} b i + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} {\left| b \right|} + 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a i {\left| b \right|} - a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{{\left| b \right|}}"," ",0,"-sqrt((b*x + a)^2 + 1)*i/b + log(3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b + a^3*b + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b*i + 2*a^2*b*i + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*abs(b) + 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*i*abs(b) - a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/abs(b)","B",0
185,1,259,0,0.362520," ","integrate((1+I*(b*x+a))^3/(1+(b*x+a)^2)^(3/2)/x,x, algorithm=""giac"")","-\frac{{\left(a^{2} i + 2 \, a - i\right)} \log\left(\frac{{\left| -2 \, x {\left| b \right|} + 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} - 2 \, \sqrt{a^{2} + 1} \right|}}{{\left| -2 \, x {\left| b \right|} + 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} + 2 \, \sqrt{a^{2} + 1} \right|}}\right)}{\sqrt{a^{2} + 1} {\left(a + i\right)}} - \frac{b \log\left(-3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b - a^{3} b - 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b i - 2 \, a^{2} b i - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} {\left| b \right|} - 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} {\left| b \right|} - 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a i {\left| b \right|} + a b + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{3 \, i {\left| b \right|}}"," ",0,"-(a^2*i + 2*a - i)*log(abs(-2*x*abs(b) + 2*sqrt((b*x + a)^2 + 1) - 2*sqrt(a^2 + 1))/abs(-2*x*abs(b) + 2*sqrt((b*x + a)^2 + 1) + 2*sqrt(a^2 + 1)))/(sqrt(a^2 + 1)*(a + i)) - 1/3*b*log(-3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b - a^3*b - 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b*i - 2*a^2*b*i - (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*abs(b) - 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*abs(b) - 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*i*abs(b) + a*b + (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(i*abs(b))","B",0
186,0,0,0,0.000000," ","integrate((1+I*(b*x+a))^3/(1+(b*x+a)^2)^(3/2)/x^2,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
187,0,0,0,0.000000," ","integrate((1+I*(b*x+a))^3/(1+(b*x+a)^2)^(3/2)/x^3,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
188,0,0,0,0.000000," ","integrate((1+I*(b*x+a))^3/(1+(b*x+a)^2)^(3/2)/x^4,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
189,1,214,0,0.157035," ","integrate(x^4/(1+I*(b*x+a))*(1+(b*x+a)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{120} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(2 \, {\left(3 \, {\left(\frac{4 \, i x}{b} - \frac{4 \, a b^{7} i + 5 \, b^{7}}{b^{9}}\right)} x + \frac{12 \, a^{2} b^{6} i + 35 \, a b^{6} - 16 \, b^{6} i}{b^{9}}\right)} x - \frac{24 \, a^{3} b^{5} i + 130 \, a^{2} b^{5} - 116 \, a b^{5} i - 45 \, b^{5}}{b^{9}}\right)} x + \frac{24 \, a^{4} b^{4} i + 250 \, a^{3} b^{4} - 332 \, a^{2} b^{4} i - 275 \, a b^{4} + 64 \, b^{4} i}{b^{9}}\right)} - \frac{{\left(8 \, a^{4} - 16 \, a^{3} i - 24 \, a^{2} + 12 \, a i + 3\right)} \log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{8 \, b^{4} {\left| b \right|}}"," ",0,"-1/120*sqrt((b*x + a)^2 + 1)*((2*(3*(4*i*x/b - (4*a*b^7*i + 5*b^7)/b^9)*x + (12*a^2*b^6*i + 35*a*b^6 - 16*b^6*i)/b^9)*x - (24*a^3*b^5*i + 130*a^2*b^5 - 116*a*b^5*i - 45*b^5)/b^9)*x + (24*a^4*b^4*i + 250*a^3*b^4 - 332*a^2*b^4*i - 275*a*b^4 + 64*b^4*i)/b^9) - 1/8*(8*a^4 - 16*a^3*i - 24*a^2 + 12*a*i + 3)*log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b^4*abs(b))","A",0
190,1,163,0,0.147914," ","integrate(x^3/(1+I*(b*x+a))*(1+(b*x+a)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{24} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(2 \, {\left(\frac{3 \, i x}{b} - \frac{3 \, a b^{5} i + 4 \, b^{5}}{b^{7}}\right)} x + \frac{6 \, a^{2} b^{4} i + 20 \, a b^{4} - 9 \, b^{4} i}{b^{7}}\right)} x - \frac{6 \, a^{3} b^{3} i + 44 \, a^{2} b^{3} - 39 \, a b^{3} i - 16 \, b^{3}}{b^{7}}\right)} + \frac{{\left(8 \, a^{3} - 12 \, a^{2} i - 12 \, a + 3 \, i\right)} \log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{8 \, b^{3} {\left| b \right|}}"," ",0,"-1/24*sqrt((b*x + a)^2 + 1)*((2*(3*i*x/b - (3*a*b^5*i + 4*b^5)/b^7)*x + (6*a^2*b^4*i + 20*a*b^4 - 9*b^4*i)/b^7)*x - (6*a^3*b^3*i + 44*a^2*b^3 - 39*a*b^3*i - 16*b^3)/b^7) + 1/8*(8*a^3 - 12*a^2*i - 12*a + 3*i)*log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b^3*abs(b))","A",0
191,1,117,0,0.137599," ","integrate(x^2/(1+I*(b*x+a))*(1+(b*x+a)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{6} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(\frac{2 \, i x}{b} - \frac{2 \, a b^{3} i + 3 \, b^{3}}{b^{5}}\right)} x + \frac{2 \, a^{2} b^{2} i + 9 \, a b^{2} - 4 \, b^{2} i}{b^{5}}\right)} - \frac{{\left(2 \, a^{2} - 2 \, a i - 1\right)} \log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{2 \, b^{2} {\left| b \right|}}"," ",0,"-1/6*sqrt((b*x + a)^2 + 1)*((2*i*x/b - (2*a*b^3*i + 3*b^3)/b^5)*x + (2*a^2*b^2*i + 9*a*b^2 - 4*b^2*i)/b^5) - 1/2*(2*a^2 - 2*a*i - 1)*log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b^2*abs(b))","A",0
192,1,78,0,0.161361," ","integrate(x/(1+I*(b*x+a))*(1+(b*x+a)^2)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left(\frac{i x}{b} - \frac{a b i + 2 \, b}{b^{3}}\right)} + \frac{{\left(2 \, a - i\right)} \log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{2 \, b {\left| b \right|}}"," ",0,"-1/2*sqrt((b*x + a)^2 + 1)*(i*x/b - (a*b*i + 2*b)/b^3) + 1/2*(2*a - i)*log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b*abs(b))","A",0
193,1,52,0,0.128122," ","integrate(1/(1+I*(b*x+a))*(1+(b*x+a)^2)^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{{\left(b x + a\right)}^{2} + 1} i}{b} - \frac{\log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{{\left| b \right|}}"," ",0,"-sqrt((b*x + a)^2 + 1)*i/b - log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/abs(b)","A",0
194,1,77,0,0.150620," ","integrate(1/(1+I*(b*x+a))*(1+(b*x+a)^2)^(1/2)/x,x, algorithm=""giac"")","\frac{b i \log\left(-a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{{\left| b \right|}} + \frac{2 \, {\left(a + i\right)} \arctan\left(-\frac{{\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} i}{\sqrt{a^{2} + 1}}\right)}{\sqrt{a^{2} + 1}}"," ",0,"b*i*log(-a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/abs(b) + 2*(a + i)*arctan(-(x*abs(b) - sqrt((b*x + a)^2 + 1))*i/sqrt(a^2 + 1))/sqrt(a^2 + 1)","A",0
195,1,147,0,0.230151," ","integrate(1/(1+I*(b*x+a))*(1+(b*x+a)^2)^(1/2)/x^2,x, algorithm=""giac"")","\frac{b \log\left(\frac{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} - 2 \, \sqrt{a^{2} + 1} \right|}}{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} + 2 \, \sqrt{a^{2} + 1} \right|}}\right)}{\sqrt{a^{2} + 1} {\left(a - i\right)}} + \frac{2 \, {\left({\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a b + a^{2} {\left| b \right|} + {\left| b \right|}\right)}}{{\left({\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} - a^{2} - 1\right)} {\left(a i + 1\right)}}"," ",0,"b*log(abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) - 2*sqrt(a^2 + 1))/abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) + 2*sqrt(a^2 + 1)))/(sqrt(a^2 + 1)*(a - i)) + 2*((x*abs(b) - sqrt((b*x + a)^2 + 1))*a*b + a^2*abs(b) + abs(b))/(((x*abs(b) - sqrt((b*x + a)^2 + 1))^2 - a^2 - 1)*(a*i + 1))","A",0
196,1,481,0,0.259202," ","integrate(1/(1+I*(b*x+a))*(1+(b*x+a)^2)^(1/2)/x^3,x, algorithm=""giac"")","-\frac{{\left(2 \, a b^{2} + b^{2} i\right)} \log\left(\frac{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} - 2 \, \sqrt{a^{2} + 1} \right|}}{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} + 2 \, \sqrt{a^{2} + 1} \right|}}\right)}{2 \, {\left(a^{3} - a^{2} i + a - i\right)} \sqrt{a^{2} + 1}} - \frac{4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{4} b^{2} i + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{3} b i {\left| b \right|} + 2 \, a^{5} b i {\left| b \right|} + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a b^{2} - 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{3} b^{2} + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} b^{2} i + 5 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} b^{2} i + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{2} b {\left| b \right|} - 2 \, a^{4} b {\left| b \right|} + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b i {\left| b \right|} + 4 \, a^{3} b i {\left| b \right|} - 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a b^{2} + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} b^{2} i + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b {\left| b \right|} - 4 \, a^{2} b {\left| b \right|} + 2 \, a b i {\left| b \right|} - 2 \, b {\left| b \right|}}{{\left(a^{3} - a^{2} i + a - i\right)} {\left({\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} - a^{2} - 1\right)}^{2}}"," ",0,"-1/2*(2*a*b^2 + b^2*i)*log(abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) - 2*sqrt(a^2 + 1))/abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) + 2*sqrt(a^2 + 1)))/((a^3 - a^2*i + a - i)*sqrt(a^2 + 1)) - (4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^4*b^2*i + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^3*b*i*abs(b) + 2*a^5*b*i*abs(b) + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a*b^2 - 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^3*b^2 + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*b^2*i + 5*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*b^2*i + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^2*b*abs(b) - 2*a^4*b*abs(b) + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b*i*abs(b) + 4*a^3*b*i*abs(b) - 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*b^2 + (x*abs(b) - sqrt((b*x + a)^2 + 1))*b^2*i + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b*abs(b) - 4*a^2*b*abs(b) + 2*a*b*i*abs(b) - 2*b*abs(b))/((a^3 - a^2*i + a - i)*((x*abs(b) - sqrt((b*x + a)^2 + 1))^2 - a^2 - 1)^2)","B",0
197,1,906,0,0.232193," ","integrate(1/(1+I*(b*x+a))*(1+(b*x+a)^2)^(1/2)/x^4,x, algorithm=""giac"")","\frac{{\left(2 \, a^{2} b^{3} + 2 \, a b^{3} i - b^{3}\right)} \log\left(\frac{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} - 2 \, \sqrt{a^{2} + 1} \right|}}{{\left| 2 \, x {\left| b \right|} - 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} + 2 \, \sqrt{a^{2} + 1} \right|}}\right)}{2 \, {\left(a^{5} - a^{4} i + 2 \, a^{3} - 2 \, a^{2} i + a - i\right)} \sqrt{a^{2} + 1}} - \frac{8 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a^{5} b^{3} i + 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{7} b^{3} i + 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{6} b^{2} i {\left| b \right|} + 8 \, a^{8} b^{2} i {\left| b \right|} - 6 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{5} a^{2} b^{3} + 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a^{4} b^{3} - 18 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{6} b^{3} - 6 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{5} a b^{3} i + 32 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a^{3} b^{3} i + 54 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{5} b^{3} i + 12 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{5} b^{2} {\left| b \right|} - 12 \, a^{7} b^{2} {\left| b \right|} + 60 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{4} b^{2} i {\left| b \right|} + 20 \, a^{6} b^{2} i {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{5} b^{3} + 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a^{2} b^{3} - 39 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{4} b^{3} + 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} a b^{3} i + 36 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{3} b^{3} i + 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{3} b^{2} {\left| b \right|} - 36 \, a^{5} b^{2} {\left| b \right|} + 48 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a^{2} b^{2} i {\left| b \right|} + 12 \, a^{4} b^{2} i {\left| b \right|} - 24 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} b^{3} + 6 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a b^{3} i + 12 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b^{2} {\left| b \right|} - 36 \, a^{3} b^{2} {\left| b \right|} + 12 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b^{2} i {\left| b \right|} - 4 \, a^{2} b^{2} i {\left| b \right|} - 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} b^{3} - 12 \, a b^{2} {\left| b \right|} - 4 \, b^{2} i {\left| b \right|}}{3 \, {\left(a^{5} - a^{4} i + 2 \, a^{3} - 2 \, a^{2} i + a - i\right)} {\left({\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} - a^{2} - 1\right)}^{3}}"," ",0,"1/2*(2*a^2*b^3 + 2*a*b^3*i - b^3)*log(abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) - 2*sqrt(a^2 + 1))/abs(2*x*abs(b) - 2*sqrt((b*x + a)^2 + 1) + 2*sqrt(a^2 + 1)))/((a^5 - a^4*i + 2*a^3 - 2*a^2*i + a - i)*sqrt(a^2 + 1)) - 1/3*(8*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a^5*b^3*i + 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^7*b^3*i + 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^6*b^2*i*abs(b) + 8*a^8*b^2*i*abs(b) - 6*(x*abs(b) - sqrt((b*x + a)^2 + 1))^5*a^2*b^3 + 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a^4*b^3 - 18*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^6*b^3 - 6*(x*abs(b) - sqrt((b*x + a)^2 + 1))^5*a*b^3*i + 32*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a^3*b^3*i + 54*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^5*b^3*i + 12*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^5*b^2*abs(b) - 12*a^7*b^2*abs(b) + 60*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^4*b^2*i*abs(b) + 20*a^6*b^2*i*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^5*b^3 + 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a^2*b^3 - 39*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^4*b^3 + 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))^3*a*b^3*i + 36*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^3*b^3*i + 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^3*b^2*abs(b) - 36*a^5*b^2*abs(b) + 48*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a^2*b^2*i*abs(b) + 12*a^4*b^2*i*abs(b) - 24*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*b^3 + 6*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*b^3*i + 12*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b^2*abs(b) - 36*a^3*b^2*abs(b) + 12*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b^2*i*abs(b) - 4*a^2*b^2*i*abs(b) - 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*b^3 - 12*a*b^2*abs(b) - 4*b^2*i*abs(b))/((a^5 - a^4*i + 2*a^3 - 2*a^2*i + a - i)*((x*abs(b) - sqrt((b*x + a)^2 + 1))^2 - a^2 - 1)^3)","B",0
198,1,235,0,0.122187," ","integrate(x^4/(1+I*(b*x+a))^2*(1+(b*x+a)^2),x, algorithm=""giac"")","\frac{2 \, {\left(a^{4} i + 4 \, a^{3} - 6 \, a^{2} i - 4 \, a + i\right)} \log\left(\frac{1}{\sqrt{{\left(b x + a\right)}^{2} + 1} {\left| b \right|}}\right)}{b^{5}} + \frac{{\left(b i x + a i + 1\right)}^{5} {\left(\frac{15 \, {\left(2 \, a b - 3 \, b i\right)} i}{{\left(b i x + a i + 1\right)} b} - \frac{20 \, {\left(3 \, a^{2} b^{2} - 10 \, a b^{2} i - 7 \, b^{2}\right)} i^{2}}{{\left(b i x + a i + 1\right)}^{2} b^{2}} + \frac{60 \, {\left(a^{3} b^{3} - 6 \, a^{2} b^{3} i - 9 \, a b^{3} + 4 \, b^{3} i\right)} i^{3}}{{\left(b i x + a i + 1\right)}^{3} b^{3}} - \frac{30 \, {\left(a^{4} b^{4} - 12 \, a^{3} b^{4} i - 30 \, a^{2} b^{4} + 28 \, a b^{4} i + 9 \, b^{4}\right)} i^{4}}{{\left(b i x + a i + 1\right)}^{4} b^{4}} - 6\right)}}{30 \, b^{5} i^{5}}"," ",0,"2*(a^4*i + 4*a^3 - 6*a^2*i - 4*a + i)*log(1/(sqrt((b*x + a)^2 + 1)*abs(b)))/b^5 + 1/30*(b*i*x + a*i + 1)^5*(15*(2*a*b - 3*b*i)*i/((b*i*x + a*i + 1)*b) - 20*(3*a^2*b^2 - 10*a*b^2*i - 7*b^2)*i^2/((b*i*x + a*i + 1)^2*b^2) + 60*(a^3*b^3 - 6*a^2*b^3*i - 9*a*b^3 + 4*b^3*i)*i^3/((b*i*x + a*i + 1)^3*b^3) - 30*(a^4*b^4 - 12*a^3*b^4*i - 30*a^2*b^4 + 28*a*b^4*i + 9*b^4)*i^4/((b*i*x + a*i + 1)^4*b^4) - 6)/(b^5*i^5)","B",0
199,1,173,0,0.125931," ","integrate(x^3/(1+I*(b*x+a))^2*(1+(b*x+a)^2),x, algorithm=""giac"")","-\frac{2 \, {\left(a^{3} i + 3 \, a^{2} - 3 \, a i - 1\right)} \log\left(\frac{1}{\sqrt{{\left(b x + a\right)}^{2} + 1} {\left| b \right|}}\right)}{b^{4}} + \frac{{\left(b i x + a i + 1\right)}^{4} {\left(\frac{4 \, {\left(3 \, a b - 5 \, b i\right)} i}{{\left(b i x + a i + 1\right)} b} - \frac{18 \, {\left(a^{2} b^{2} - 4 \, a b^{2} i - 3 \, b^{2}\right)} i^{2}}{{\left(b i x + a i + 1\right)}^{2} b^{2}} + \frac{12 \, {\left(a^{3} b^{3} - 9 \, a^{2} b^{3} i - 15 \, a b^{3} + 7 \, b^{3} i\right)} i^{3}}{{\left(b i x + a i + 1\right)}^{3} b^{3}} - 3\right)}}{12 \, b^{4} i^{4}}"," ",0,"-2*(a^3*i + 3*a^2 - 3*a*i - 1)*log(1/(sqrt((b*x + a)^2 + 1)*abs(b)))/b^4 + 1/12*(b*i*x + a*i + 1)^4*(4*(3*a*b - 5*b*i)*i/((b*i*x + a*i + 1)*b) - 18*(a^2*b^2 - 4*a*b^2*i - 3*b^2)*i^2/((b*i*x + a*i + 1)^2*b^2) + 12*(a^3*b^3 - 9*a^2*b^3*i - 15*a*b^3 + 7*b^3*i)*i^3/((b*i*x + a*i + 1)^3*b^3) - 3)/(b^4*i^4)","B",0
200,1,120,0,0.137657," ","integrate(x^2/(1+I*(b*x+a))^2*(1+(b*x+a)^2),x, algorithm=""giac"")","\frac{2 \, {\left(a^{2} i + 2 \, a - i\right)} \log\left(\frac{1}{\sqrt{{\left(b x + a\right)}^{2} + 1} {\left| b \right|}}\right)}{b^{3}} + \frac{{\left(b i x + a i + 1\right)}^{3} {\left(\frac{3 \, {\left(a b - 2 \, b i\right)} i}{{\left(b i x + a i + 1\right)} b} - \frac{3 \, {\left(a^{2} b^{2} - 6 \, a b^{2} i - 5 \, b^{2}\right)} i^{2}}{{\left(b i x + a i + 1\right)}^{2} b^{2}} - 1\right)}}{3 \, b^{3} i^{3}}"," ",0,"2*(a^2*i + 2*a - i)*log(1/(sqrt((b*x + a)^2 + 1)*abs(b)))/b^3 + 1/3*(b*i*x + a*i + 1)^3*(3*(a*b - 2*b*i)*i/((b*i*x + a*i + 1)*b) - 3*(a^2*b^2 - 6*a*b^2*i - 5*b^2)*i^2/((b*i*x + a*i + 1)^2*b^2) - 1)/(b^3*i^3)","B",0
201,1,80,0,0.137948," ","integrate(x/(1+I*(b*x+a))^2*(1+(b*x+a)^2),x, algorithm=""giac"")","-\frac{i {\left(\frac{4 \, {\left(a - i\right)} \log\left(\frac{1}{\sqrt{{\left(b x + a\right)}^{2} + 1} {\left| b \right|}}\right)}{b} - \frac{{\left(b i x + a i + 1\right)}^{2} {\left(i - \frac{2 \, {\left(a b i + 3 \, b\right)} i}{{\left(b i x + a i + 1\right)} b}\right)}}{b i^{2}}\right)}}{2 \, b}"," ",0,"-1/2*i*(4*(a - i)*log(1/(sqrt((b*x + a)^2 + 1)*abs(b)))/b - (b*i*x + a*i + 1)^2*(i - 2*(a*b*i + 3*b)*i/((b*i*x + a*i + 1)*b))/(b*i^2))/b","B",0
202,1,38,0,0.133373," ","integrate(1/(1+I*(b*x+a))^2*(1+(b*x+a)^2),x, algorithm=""giac"")","\frac{{\left(b i x + a i + 1\right)} i}{b} + \frac{2 \, i \log\left(\frac{1}{\sqrt{{\left(b x + a\right)}^{2} + 1} {\left| b \right|}}\right)}{b}"," ",0,"(b*i*x + a*i + 1)*i/b + 2*i*log(1/(sqrt((b*x + a)^2 + 1)*abs(b)))/b","A",0
203,1,77,0,0.135387," ","integrate(1/(1+I*(b*x+a))^2*(1+(b*x+a)^2)/x,x, algorithm=""giac"")","b i {\left(\frac{{\left(a i - 1\right)} \log\left(-\frac{a i^{2}}{b i x + a i + 1} + i - \frac{i}{b i x + a i + 1}\right)}{a b - b i} - \frac{i \log\left(\frac{1}{\sqrt{{\left(b x + a\right)}^{2} + 1} {\left| b \right|}}\right)}{b}\right)}"," ",0,"b*i*((a*i - 1)*log(-a*i^2/(b*i*x + a*i + 1) + i - i/(b*i*x + a*i + 1))/(a*b - b*i) - i*log(1/(sqrt((b*x + a)^2 + 1)*abs(b)))/b)","B",0
204,1,106,0,0.120708," ","integrate(1/(1+I*(b*x+a))^2*(1+(b*x+a)^2)/x^2,x, algorithm=""giac"")","-\frac{2 \, b^{2} \log\left(-\frac{a i}{b i x + a i + 1} + \frac{i^{2}}{b i x + a i + 1} + 1\right)}{a^{2} b i + 2 \, a b - b i} - \frac{a b + b i}{{\left(a - i\right)}^{2} {\left(\frac{a i}{b i x + a i + 1} - \frac{i^{2}}{b i x + a i + 1} - 1\right)}}"," ",0,"-2*b^2*log(-a*i/(b*i*x + a*i + 1) + i^2/(b*i*x + a*i + 1) + 1)/(a^2*b*i + 2*a*b - b*i) - (a*b + b*i)/((a - i)^2*(a*i/(b*i*x + a*i + 1) - i^2/(b*i*x + a*i + 1) - 1))","B",0
205,1,157,0,0.136154," ","integrate(1/(1+I*(b*x+a))^2*(1+(b*x+a)^2)/x^3,x, algorithm=""giac"")","\frac{2 \, b^{3} \log\left(-\frac{a i}{b i x + a i + 1} + \frac{i^{2}}{b i x + a i + 1} + 1\right)}{a^{3} b i + 3 \, a^{2} b - 3 \, a b i - b} - \frac{\frac{2 \, {\left(a b^{3} i - 3 \, b^{3}\right)} i^{2}}{{\left(b i x + a i + 1\right)} b} + \frac{a b^{2} i - 5 \, b^{2}}{a i + 1}}{2 \, {\left(a - i\right)}^{2} {\left(\frac{a i}{b i x + a i + 1} - \frac{i^{2}}{b i x + a i + 1} - 1\right)}^{2}}"," ",0,"2*b^3*log(-a*i/(b*i*x + a*i + 1) + i^2/(b*i*x + a*i + 1) + 1)/(a^3*b*i + 3*a^2*b - 3*a*b*i - b) - 1/2*(2*(a*b^3*i - 3*b^3)*i^2/((b*i*x + a*i + 1)*b) + (a*b^2*i - 5*b^2)/(a*i + 1))/((a - i)^2*(a*i/(b*i*x + a*i + 1) - i^2/(b*i*x + a*i + 1) - 1)^2)","B",0
206,1,202,0,0.123663," ","integrate(1/(1+I*(b*x+a))^2*(1+(b*x+a)^2)/x^4,x, algorithm=""giac"")","-\frac{2 \, b^{4} \log\left(-\frac{a i}{b i x + a i + 1} + \frac{i^{2}}{b i x + a i + 1} + 1\right)}{a^{4} b i + 4 \, a^{3} b - 6 \, a^{2} b i - 4 \, a b + b i} - \frac{\frac{3 \, {\left(a b^{4} i - 8 \, b^{4}\right)} i^{2}}{{\left(b i x + a i + 1\right)} b} + \frac{a b^{3} i - 10 \, b^{3}}{a i + 1} + \frac{3 \, {\left(a^{2} b^{5} + 4 \, a b^{5} i + 5 \, b^{5}\right)} i^{2}}{{\left(b i x + a i + 1\right)}^{2} b^{2}}}{3 \, {\left(a - i\right)}^{3} {\left(\frac{a i}{b i x + a i + 1} - \frac{i^{2}}{b i x + a i + 1} - 1\right)}^{3}}"," ",0,"-2*b^4*log(-a*i/(b*i*x + a*i + 1) + i^2/(b*i*x + a*i + 1) + 1)/(a^4*b*i + 4*a^3*b - 6*a^2*b*i - 4*a*b + b*i) - 1/3*(3*(a*b^4*i - 8*b^4)*i^2/((b*i*x + a*i + 1)*b) + (a*b^3*i - 10*b^3)/(a*i + 1) + 3*(a^2*b^5 + 4*a*b^5*i + 5*b^5)*i^2/((b*i*x + a*i + 1)^2*b^2))/((a - i)^3*(a*i/(b*i*x + a*i + 1) - i^2/(b*i*x + a*i + 1) - 1)^3)","B",0
207,1,353,0,0.196038," ","integrate(x^4/(1+I*(b*x+a))^3*(1+(b*x+a)^2)^(3/2),x, algorithm=""giac"")","\frac{1}{40} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(2 \, {\left({\left(\frac{4 \, i x}{b} - \frac{4 \, a b^{17} i + 15 \, b^{17}}{b^{19}}\right)} x + \frac{4 \, a^{2} b^{16} i + 35 \, a b^{16} - 32 \, b^{16} i}{b^{19}}\right)} x - \frac{8 \, a^{3} b^{15} i + 130 \, a^{2} b^{15} - 252 \, a b^{15} i - 125 \, b^{15}}{b^{19}}\right)} x + \frac{8 \, a^{4} b^{14} i + 250 \, a^{3} b^{14} - 804 \, a^{2} b^{14} i - 835 \, a b^{14} + 288 \, b^{14} i}{b^{19}}\right)} + \frac{{\left(8 \, a^{4} i + 48 \, a^{3} - 88 \, a^{2} i - 68 \, a + 19 \, i\right)} \log\left(3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b i + a^{3} b i + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} i {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} i {\left| b \right|} + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b + 2 \, a^{2} b - a b i + 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a {\left| b \right|} - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} i {\left| b \right|}\right)}{8 \, b^{4} i {\left| b \right|}}"," ",0,"1/40*sqrt((b*x + a)^2 + 1)*((2*((4*i*x/b - (4*a*b^17*i + 15*b^17)/b^19)*x + (4*a^2*b^16*i + 35*a*b^16 - 32*b^16*i)/b^19)*x - (8*a^3*b^15*i + 130*a^2*b^15 - 252*a*b^15*i - 125*b^15)/b^19)*x + (8*a^4*b^14*i + 250*a^3*b^14 - 804*a^2*b^14*i - 835*a*b^14 + 288*b^14*i)/b^19) + 1/8*(8*a^4*i + 48*a^3 - 88*a^2*i - 68*a + 19*i)*log(3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b*i + a^3*b*i + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*i*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*i*abs(b) + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b + 2*a^2*b - a*b*i + 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*abs(b) - (x*abs(b) - sqrt((b*x + a)^2 + 1))*i*abs(b))/(b^4*i*abs(b))","A",0
208,1,303,0,0.180999," ","integrate(x^3/(1+I*(b*x+a))^3*(1+(b*x+a)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(2 \, x {\left(\frac{x}{b i} - \frac{a b^{11} - 4 \, b^{11} i}{b^{13} i}\right)} + \frac{2 \, a^{2} b^{10} - 20 \, a b^{10} i - 19 \, b^{10}}{b^{13} i}\right)} x - \frac{2 \, a^{3} b^{9} - 44 \, a^{2} b^{9} i - 93 \, a b^{9} + 48 \, b^{9} i}{b^{13} i}\right)} - \frac{{\left(8 \, a^{3} - 36 \, a^{2} i - 44 \, a + 17 \, i\right)} \log\left(3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b + a^{3} b - 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b i - 2 \, a^{2} b i + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} {\left| b \right|} - 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a i {\left| b \right|} - a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{8 \, b^{3} {\left| b \right|}}"," ",0,"-1/8*sqrt((b*x + a)^2 + 1)*((2*x*(x/(b*i) - (a*b^11 - 4*b^11*i)/(b^13*i)) + (2*a^2*b^10 - 20*a*b^10*i - 19*b^10)/(b^13*i))*x - (2*a^3*b^9 - 44*a^2*b^9*i - 93*a*b^9 + 48*b^9*i)/(b^13*i)) - 1/8*(8*a^3 - 36*a^2*i - 44*a + 17*i)*log(3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b + a^3*b - 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b*i - 2*a^2*b*i + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*abs(b) - 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*i*abs(b) - a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b^3*abs(b))","A",0
209,1,257,0,0.178896," ","integrate(x^2/(1+I*(b*x+a))^3*(1+(b*x+a)^2)^(3/2),x, algorithm=""giac"")","\frac{1}{6} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left({\left(\frac{2 \, i x}{b} - \frac{2 \, a b^{6} i + 9 \, b^{6}}{b^{8}}\right)} x + \frac{2 \, a^{2} b^{5} i + 27 \, a b^{5} - 28 \, b^{5} i}{b^{8}}\right)} + \frac{{\left(6 \, a^{2} i + 18 \, a - 11 \, i\right)} \log\left(3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b i + a^{3} b i + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} i {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} i {\left| b \right|} + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b + 2 \, a^{2} b - a b i + 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a {\left| b \right|} - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} i {\left| b \right|}\right)}{6 \, b^{2} i {\left| b \right|}}"," ",0,"1/6*sqrt((b*x + a)^2 + 1)*((2*i*x/b - (2*a*b^6*i + 9*b^6)/b^8)*x + (2*a^2*b^5*i + 27*a*b^5 - 28*b^5*i)/b^8) + 1/6*(6*a^2*i + 18*a - 11*i)*log(3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b*i + a^3*b*i + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*i*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*i*abs(b) + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b + 2*a^2*b - a*b*i + 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*abs(b) - (x*abs(b) - sqrt((b*x + a)^2 + 1))*i*abs(b))/(b^2*i*abs(b))","A",0
210,1,219,0,0.148003," ","integrate(x/(1+I*(b*x+a))^3*(1+(b*x+a)^2)^(3/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{{\left(b x + a\right)}^{2} + 1} {\left(\frac{x}{b i} - \frac{a b^{2} - 6 \, b^{2} i}{b^{4} i}\right)} - \frac{{\left(2 \, a - 3 \, i\right)} \log\left(3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b + a^{3} b - 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b i - 2 \, a^{2} b i + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} {\left| b \right|} - 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a i {\left| b \right|} - a b - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} {\left| b \right|}\right)}{2 \, b {\left| b \right|}}"," ",0,"-1/2*sqrt((b*x + a)^2 + 1)*(x/(b*i) - (a*b^2 - 6*b^2*i)/(b^4*i)) - 1/2*(2*a - 3*i)*log(3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b + a^3*b - 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b*i - 2*a^2*b*i + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*abs(b) - 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*i*abs(b) - a*b - (x*abs(b) - sqrt((b*x + a)^2 + 1))*abs(b))/(b*abs(b))","A",0
211,1,185,0,0.167107," ","integrate(1/(1+I*(b*x+a))^3*(1+(b*x+a)^2)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{{\left(b x + a\right)}^{2} + 1} i}{b} + \frac{\log\left(3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b i + a^{3} b i + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} i {\left| b \right|} + 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} i {\left| b \right|} + 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b + 2 \, a^{2} b - a b i + 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a {\left| b \right|} - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} i {\left| b \right|}\right)}{{\left| b \right|}}"," ",0,"sqrt((b*x + a)^2 + 1)*i/b + log(3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b*i + a^3*b*i + (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*i*abs(b) + 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*i*abs(b) + 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b + 2*a^2*b - a*b*i + 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*abs(b) - (x*abs(b) - sqrt((b*x + a)^2 + 1))*i*abs(b))/abs(b)","B",0
212,1,263,0,0.330649," ","integrate(1/(1+I*(b*x+a))^3*(1+(b*x+a)^2)^(3/2)/x,x, algorithm=""giac"")","\frac{{\left(a^{2} i - 2 \, a - i\right)} \log\left(\frac{{\left| -2 \, x {\left| b \right|} + 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} - 2 \, \sqrt{a^{2} + 1} \right|}}{{\left| -2 \, x {\left| b \right|} + 2 \, \sqrt{{\left(b x + a\right)}^{2} + 1} + 2 \, \sqrt{a^{2} + 1} \right|}}\right)}{\sqrt{a^{2} + 1} {\left(a - i\right)}} + \frac{b \log\left(-3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} a b i - a^{3} b i - {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{3} i {\left| b \right|} - 3 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a^{2} i {\left| b \right|} - 2 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)}^{2} b - 2 \, a^{2} b + a b i - 4 \, {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} a {\left| b \right|} + {\left(x {\left| b \right|} - \sqrt{{\left(b x + a\right)}^{2} + 1}\right)} i {\left| b \right|}\right)}{3 \, i {\left| b \right|}}"," ",0,"(a^2*i - 2*a - i)*log(abs(-2*x*abs(b) + 2*sqrt((b*x + a)^2 + 1) - 2*sqrt(a^2 + 1))/abs(-2*x*abs(b) + 2*sqrt((b*x + a)^2 + 1) + 2*sqrt(a^2 + 1)))/(sqrt(a^2 + 1)*(a - i)) + 1/3*b*log(-3*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*a*b*i - a^3*b*i - (x*abs(b) - sqrt((b*x + a)^2 + 1))^3*i*abs(b) - 3*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a^2*i*abs(b) - 2*(x*abs(b) - sqrt((b*x + a)^2 + 1))^2*b - 2*a^2*b + a*b*i - 4*(x*abs(b) - sqrt((b*x + a)^2 + 1))*a*abs(b) + (x*abs(b) - sqrt((b*x + a)^2 + 1))*i*abs(b))/(i*abs(b))","B",0
213,0,0,0,0.000000," ","integrate(1/(1+I*(b*x+a))^3*(1+(b*x+a)^2)^(3/2)/x^2,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
214,0,0,0,0.000000," ","integrate(1/(1+I*(b*x+a))^3*(1+(b*x+a)^2)^(3/2)/x^3,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
215,0,0,0,0.000000," ","integrate(1/(1+I*(b*x+a))^3*(1+(b*x+a)^2)^(3/2)/x^4,x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
216,-2,0,0,0.000000," ","integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.03Done","F(-2)",0
217,-2,0,0,0.000000," ","integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.21Done","F(-2)",0
218,-2,0,0,0.000000," ","integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 0.54Done","F(-2)",0
219,-2,0,0,0.000000," ","integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.06Done","F(-2)",0
220,-2,0,0,0.000000," ","integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.19Done","F(-2)",0
221,-2,0,0,0.000000," ","integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)*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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.42Done","F(-2)",0
222,-2,0,0,0.000000," ","integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)*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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.42Done","F(-2)",0
223,-2,0,0,0.000000," ","integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.24Done","F(-2)",0
224,-2,0,0,0.000000," ","integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 2.32Done","F(-2)",0
225,-2,0,0,0.000000," ","integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.26Done","F(-2)",0
226,-2,0,0,0.000000," ","integrate(x^2/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.67Done","F(-2)",0
227,-2,0,0,0.000000," ","integrate(x/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.96Done","F(-2)",0
228,-2,0,0,0.000000," ","integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.31Done","F(-2)",0
229,-2,0,0,0.000000," ","integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.67Done","F(-2)",0
230,-2,0,0,0.000000," ","integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.74Done","F(-2)",0
231,-2,0,0,0.000000," ","integrate(x^2/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 3.06Done","F(-2)",0
232,-2,0,0,0.000000," ","integrate(x/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 3.08Done","F(-2)",0
233,-2,0,0,0.000000," ","integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2),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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.87Done","F(-2)",0
234,-2,0,0,0.000000," ","integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.81Done","F(-2)",0
235,-2,0,0,0.000000," ","integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)/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, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming 0=[0,0,0]index.cc index_m operator + Error: Bad Argument ValueEvaluation time: 1.81Done","F(-2)",0
236,-1,0,0,0.000000," ","integrate(exp(n*arctan(b*x+a))*x^m,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
237,-1,0,0,0.000000," ","integrate(exp(n*arctan(b*x+a))*x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
238,-1,0,0,0.000000," ","integrate(exp(n*arctan(b*x+a))*x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,-1,0,0,0.000000," ","integrate(exp(n*arctan(b*x+a))*x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,-1,0,0,0.000000," ","integrate(exp(n*arctan(b*x+a)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
241,-1,0,0,0.000000," ","integrate(exp(n*arctan(b*x+a))/x,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
242,-1,0,0,0.000000," ","integrate(exp(n*arctan(b*x+a))/x^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
243,-1,0,0,0.000000," ","integrate(exp(n*arctan(b*x+a))/x^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
244,0,0,0,0.000000," ","integrate(exp(arctan(a*x))*(a^2*c*x^2+c)^p,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
245,0,0,0,0.000000," ","integrate(exp(arctan(a*x))*(a^2*c*x^2+c)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
246,0,0,0,0.000000," ","integrate(exp(arctan(a*x))*(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
247,0,0,0,0.000000," ","integrate(exp(arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
248,1,12,0,0.127983," ","integrate(exp(arctan(a*x))/(a^2*c*x^2+c),x, algorithm=""giac"")","\frac{e^{\left(\arctan\left(a x\right)\right)}}{a c}"," ",0,"e^(arctan(a*x))/(a*c)","A",0
249,0,0,0,0.000000," ","integrate(exp(arctan(a*x))/(a^2*c*x^2+c)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
250,0,0,0,0.000000," ","integrate(exp(arctan(a*x))/(a^2*c*x^2+c)^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
251,0,0,0,0.000000," ","integrate(exp(arctan(a*x))/(a^2*c*x^2+c)^4,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
252,-1,0,0,0.000000," ","integrate(exp(arctan(a*x))/(a^2*c*x^2+c)^5,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
253,-2,0,0,0.000000," ","integrate(exp(arctan(a*x))*(a^2*c*x^2+c)^(3/2),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
254,-2,0,0,0.000000," ","integrate(exp(arctan(a*x))*(a^2*c*x^2+c)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
255,0,0,0,0.000000," ","integrate(exp(arctan(a*x))/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
256,0,0,0,0.000000," ","integrate(exp(arctan(a*x))/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
257,0,0,0,0.000000," ","integrate(exp(arctan(a*x))/(a^2*c*x^2+c)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
258,0,0,0,0.000000," ","integrate(exp(arctan(a*x))/(a^2*c*x^2+c)^(7/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
259,0,0,0,0.000000," ","integrate(exp(2*arctan(a*x))*(a^2*c*x^2+c)^p,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
260,0,0,0,0.000000," ","integrate(exp(2*arctan(a*x))*(a^2*c*x^2+c)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
261,0,0,0,0.000000," ","integrate(exp(2*arctan(a*x))*(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
262,0,0,0,0.000000," ","integrate(exp(2*arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
263,1,15,0,0.123072," ","integrate(exp(2*arctan(a*x))/(a^2*c*x^2+c),x, algorithm=""giac"")","\frac{e^{\left(2 \, \arctan\left(a x\right)\right)}}{2 \, a c}"," ",0,"1/2*e^(2*arctan(a*x))/(a*c)","A",0
264,0,0,0,0.000000," ","integrate(exp(2*arctan(a*x))/(a^2*c*x^2+c)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
265,-1,0,0,0.000000," ","integrate(exp(2*arctan(a*x))/(a^2*c*x^2+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
266,-1,0,0,0.000000," ","integrate(exp(2*arctan(a*x))/(a^2*c*x^2+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
267,-2,0,0,0.000000," ","integrate(exp(2*arctan(a*x))*(a^2*c*x^2+c)^(3/2),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
268,-2,0,0,0.000000," ","integrate(exp(2*arctan(a*x))*(a^2*c*x^2+c)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
269,0,0,0,0.000000," ","integrate(exp(2*arctan(a*x))/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
270,0,0,0,0.000000," ","integrate(exp(2*arctan(a*x))/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
271,0,0,0,0.000000," ","integrate(exp(2*arctan(a*x))/(a^2*c*x^2+c)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
272,0,0,0,0.000000," ","integrate(exp(2*arctan(a*x))/(a^2*c*x^2+c)^(7/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
273,0,0,0,0.000000," ","integrate((a^2*c*x^2+c)^p/exp(arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
274,0,0,0,0.000000," ","integrate((a^2*c*x^2+c)^2/exp(arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
275,0,0,0,0.000000," ","integrate((a^2*c*x^2+c)/exp(arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
276,0,0,0,0.000000," ","integrate(exp(-arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
277,1,15,0,0.107012," ","integrate(1/exp(arctan(a*x))/(a^2*c*x^2+c),x, algorithm=""giac"")","-\frac{e^{\left(-\arctan\left(a x\right)\right)}}{a c}"," ",0,"-e^(-arctan(a*x))/(a*c)","A",0
278,0,0,0,0.000000," ","integrate(1/exp(arctan(a*x))/(a^2*c*x^2+c)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
279,0,0,0,0.000000," ","integrate(1/exp(arctan(a*x))/(a^2*c*x^2+c)^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
280,0,0,0,0.000000," ","integrate(1/exp(arctan(a*x))/(a^2*c*x^2+c)^4,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
281,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(3/2)/exp(arctan(a*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
282,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(1/2)/exp(arctan(a*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
283,0,0,0,0.000000," ","integrate(1/exp(arctan(a*x))/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
284,0,0,0,0.000000," ","integrate(1/exp(arctan(a*x))/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
285,0,0,0,0.000000," ","integrate(1/exp(arctan(a*x))/(a^2*c*x^2+c)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
286,0,0,0,0.000000," ","integrate(1/exp(arctan(a*x))/(a^2*c*x^2+c)^(7/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
287,0,0,0,0.000000," ","integrate((a^2*c*x^2+c)^p/exp(2*arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
288,0,0,0,0.000000," ","integrate((a^2*c*x^2+c)^2/exp(2*arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
289,0,0,0,0.000000," ","integrate((a^2*c*x^2+c)/exp(2*arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
290,0,0,0,0.000000," ","integrate(exp(-2*arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
291,1,15,0,0.125036," ","integrate(1/exp(2*arctan(a*x))/(a^2*c*x^2+c),x, algorithm=""giac"")","-\frac{e^{\left(-2 \, \arctan\left(a x\right)\right)}}{2 \, a c}"," ",0,"-1/2*e^(-2*arctan(a*x))/(a*c)","A",0
292,0,0,0,0.000000," ","integrate(1/exp(2*arctan(a*x))/(a^2*c*x^2+c)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
293,-1,0,0,0.000000," ","integrate(1/exp(2*arctan(a*x))/(a^2*c*x^2+c)^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
294,-1,0,0,0.000000," ","integrate(1/exp(2*arctan(a*x))/(a^2*c*x^2+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
295,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(3/2)/exp(2*arctan(a*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
296,-2,0,0,0.000000," ","integrate((a^2*c*x^2+c)^(1/2)/exp(2*arctan(a*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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
297,0,0,0,0.000000," ","integrate(1/exp(2*arctan(a*x))/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
298,0,0,0,0.000000," ","integrate(1/exp(2*arctan(a*x))/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
299,0,0,0,0.000000," ","integrate(1/exp(2*arctan(a*x))/(a^2*c*x^2+c)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
300,0,0,0,0.000000," ","integrate(1/exp(2*arctan(a*x))/(a^2*c*x^2+c)^(7/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
301,1,30,0,0.146783," ","integrate((1+I*a*x)^5/(a^2*x^2+1)^3,x, algorithm=""giac"")","\frac{i \log\left(a x + i\right)}{a} - \frac{2 \, {\left(2 \, a x + i\right)}}{{\left(a x + i\right)}^{2} a}"," ",0,"i*log(a*x + i)/a - 2*(2*a*x + i)/((a*x + i)^2*a)","A",0
302,1,24,0,0.151227," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^(5/2),x, algorithm=""giac"")","-\frac{\log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right)}{{\left| a \right|}}"," ",0,"-log(-x*abs(a) + sqrt(a^2*x^2 + 1))/abs(a)","A",0
303,1,25,0,0.118545," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^2,x, algorithm=""giac"")","-\frac{i \log\left(a x + i\right)}{a} + \frac{2}{{\left(a x + i\right)} a}"," ",0,"-i*log(a*x + i)/a + 2/((a*x + i)*a)","A",0
304,0,0,0,0.000000," ","integrate((1+I*a*x)^2/(a^2*x^2+1)^(3/2),x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
305,1,13,0,0.109199," ","integrate((1+I*a*x)/(a^2*x^2+1),x, algorithm=""giac"")","\frac{i \log\left(-a i x + 1\right)}{a}"," ",0,"i*log(-a*i*x + 1)/a","A",0
306,1,13,0,0.111537," ","integrate(1/(1+I*a*x),x, algorithm=""giac"")","-\frac{i \log\left(a i x + 1\right)}{a}"," ",0,"-i*log(a*i*x + 1)/a","A",0
307,0,0,0,0.000000," ","integrate(1/(1+I*a*x)^2*(a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
308,1,28,0,0.135765," ","integrate(1/(1+I*a*x)^3*(a^2*x^2+1),x, algorithm=""giac"")","\frac{i \log\left(a x - i\right)}{a} + \frac{2}{{\left(a x - i\right)} a}"," ",0,"i*log(a*x - i)/a + 2/((a*x - i)*a)","A",0
309,1,24,0,0.151071," ","integrate(1/(1+I*a*x)^4*(a^2*x^2+1)^(3/2),x, algorithm=""giac"")","-\frac{\log\left(-x {\left| a \right|} + \sqrt{a^{2} x^{2} + 1}\right)}{{\left| a \right|}}"," ",0,"-log(-x*abs(a) + sqrt(a^2*x^2 + 1))/abs(a)","A",0
310,0,0,0,0.000000," ","integrate((1+I*a*x)^5/(a^2*x^2+1)^(5/2)/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)}^{5}}{\sqrt{a^{2} c x^{2} + c} {\left(a^{2} x^{2} + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((I*a*x + 1)^5/(sqrt(a^2*c*x^2 + c)*(a^2*x^2 + 1)^(5/2)), x)","F",0
311,1,139,0,0.283139," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{a^{2} c} x + \sqrt{a^{2} c x^{2} + c} \right|}\right)}{a \sqrt{c}} - \frac{8 \, {\left(3 \, {\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)}^{2} i - 2 \, c i - 3 \, {\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)} \sqrt{c}\right)}}{3 \, {\left({\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)} i - \sqrt{c}\right)}^{3} a i}"," ",0,"-log(abs(-sqrt(a^2*c)*x + sqrt(a^2*c*x^2 + c)))/(a*sqrt(c)) - 8/3*(3*(sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))^2*i - 2*c*i - 3*(sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))*sqrt(c))/(((sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))*i - sqrt(c))^3*a*i)","A",0
312,0,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)}^{3}}{\sqrt{a^{2} c x^{2} + c} {\left(a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((I*a*x + 1)^3/(sqrt(a^2*c*x^2 + c)*(a^2*x^2 + 1)^(3/2)), x)","F",0
313,1,72,0,0.172719," ","integrate((1+I*a*x)^2/(a^2*x^2+1)/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\frac{\log\left({\left| -\sqrt{a^{2} c} x + \sqrt{a^{2} c x^{2} + c} \right|}\right)}{a \sqrt{c}} - \frac{4}{{\left({\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)} i - \sqrt{c}\right)} a}"," ",0,"log(abs(-sqrt(a^2*c)*x + sqrt(a^2*c*x^2 + c)))/(a*sqrt(c)) - 4/(((sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))*i - sqrt(c))*a)","A",0
314,0,0,0,0.000000," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{i \, a x + 1}{\sqrt{a^{2} c x^{2} + c} \sqrt{a^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate((I*a*x + 1)/(sqrt(a^2*c*x^2 + c)*sqrt(a^2*x^2 + 1)), x)","F",0
315,-2,0,0,0.000000," ","integrate(1/(1+I*a*x)*(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
316,1,70,0,0.204526," ","integrate(1/(1+I*a*x)^2*(a^2*x^2+1)/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\frac{\log\left({\left| -\sqrt{a^{2} c} x + \sqrt{a^{2} c x^{2} + c} \right|}\right)}{a \sqrt{c}} + \frac{4}{{\left({\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)} i + \sqrt{c}\right)} a}"," ",0,"log(abs(-sqrt(a^2*c)*x + sqrt(a^2*c*x^2 + c)))/(a*sqrt(c)) + 4/(((sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))*i + sqrt(c))*a)","A",0
317,0,0,0,0.000000," ","integrate(1/(1+I*a*x)^3*(a^2*x^2+1)^(3/2)/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}{\sqrt{a^{2} c x^{2} + c} {\left(i \, a x + 1\right)}^{3}}\,{d x}"," ",0,"integrate((a^2*x^2 + 1)^(3/2)/(sqrt(a^2*c*x^2 + c)*(I*a*x + 1)^3), x)","F",0
318,1,137,0,0.249801," ","integrate(1/(1+I*a*x)^4*(a^2*x^2+1)^2/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -\sqrt{a^{2} c} x + \sqrt{a^{2} c x^{2} + c} \right|}\right)}{a \sqrt{c}} + \frac{8 \, {\left(3 \, {\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)}^{2} i - 2 \, c i + 3 \, {\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)} \sqrt{c}\right)}}{3 \, {\left({\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)} i + \sqrt{c}\right)}^{3} a i}"," ",0,"-log(abs(-sqrt(a^2*c)*x + sqrt(a^2*c*x^2 + c)))/(a*sqrt(c)) + 8/3*(3*(sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))^2*i - 2*c*i + 3*(sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))*sqrt(c))/(((sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))*i + sqrt(c))^3*a*i)","A",0
319,1,19,0,0.115259," ","integrate((1+I*a*x)^5/(a^2*x^2+1)^4,x, algorithm=""giac"")","-\frac{3 \, a i x + 1}{6 \, {\left(a x + i\right)}^{3} a}"," ",0,"-1/6*(3*a*i*x + 1)/((a*x + i)^3*a)","A",0
320,1,111,0,0.174589," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^(7/2),x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, a^{3} i {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)} - 15 \, a i {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)}^{3} - 4 \, a^{4} + 25 \, a^{2} {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)}^{2} - 15 \, {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)}^{4}\right)}}{15 \, {\left(a i + \sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)}^{5}}"," ",0,"-2/15*(5*a^3*i*(sqrt(a^2 + 1/x^2) - 1/x) - 15*a*i*(sqrt(a^2 + 1/x^2) - 1/x)^3 - 4*a^4 + 25*a^2*(sqrt(a^2 + 1/x^2) - 1/x)^2 - 15*(sqrt(a^2 + 1/x^2) - 1/x)^4)/(a*i + sqrt(a^2 + 1/x^2) - 1/x)^5","B",0
321,1,13,0,0.139917," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^3,x, algorithm=""giac"")","\frac{i}{2 \, {\left(a x + i\right)}^{2} a}"," ",0,"1/2*i/((a*x + i)^2*a)","A",0
322,1,66,0,0.138642," ","integrate((1+I*a*x)^2/(a^2*x^2+1)^(5/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, a i {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)} - 2 \, a^{2} + 3 \, {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)}^{2}\right)}}{3 \, {\left(a i + \sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)}^{3}}"," ",0,"2/3*(3*a*i*(sqrt(a^2 + 1/x^2) - 1/x) - 2*a^2 + 3*(sqrt(a^2 + 1/x^2) - 1/x)^2)/(a*i + sqrt(a^2 + 1/x^2) - 1/x)^3","A",0
323,1,41,0,0.136503," ","integrate((1+I*a*x)/(a^2*x^2+1)^2,x, algorithm=""giac"")","\frac{i \log\left(a x + i\right)}{4 \, a} + \frac{\log\left(-a i x - 1\right)}{4 \, a i} + \frac{1}{2 \, {\left(a x + i\right)} a}"," ",0,"1/4*i*log(a*x + i)/a + 1/4*log(-a*i*x - 1)/(a*i) + 1/2/((a*x + i)*a)","A",0
324,1,44,0,0.132988," ","integrate(1/(1+I*a*x)/(a^2*x^2+1),x, algorithm=""giac"")","-\frac{i \log\left(a x - i\right)}{4 \, a} - \frac{\log\left(a i x - 1\right)}{4 \, a i} + \frac{1}{2 \, {\left(a x - i\right)} a}"," ",0,"-1/4*i*log(a*x - i)/a - 1/4*log(a*i*x - 1)/(a*i) + 1/2/((a*x - i)*a)","A",0
325,1,66,0,0.158487," ","integrate(1/(1+I*a*x)^2/(a^2*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, a i {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)} + 2 \, a^{2} - 3 \, {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)}^{2}\right)}}{3 \, {\left(a i - \sqrt{a^{2} + \frac{1}{x^{2}}} + \frac{1}{x}\right)}^{3}}"," ",0,"2/3*(3*a*i*(sqrt(a^2 + 1/x^2) - 1/x) + 2*a^2 - 3*(sqrt(a^2 + 1/x^2) - 1/x)^2)/(a*i - sqrt(a^2 + 1/x^2) + 1/x)^3","A",0
326,1,14,0,0.111246," ","integrate(1/(1+I*a*x)^3,x, algorithm=""giac"")","\frac{i}{2 \, {\left(a i x + 1\right)}^{2} a}"," ",0,"1/2*i/((a*i*x + 1)^2*a)","A",0
327,1,111,0,0.195162," ","integrate(1/(1+I*a*x)^4*(a^2*x^2+1)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, a^{3} i {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)} - 15 \, a i {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)}^{3} + 4 \, a^{4} - 25 \, a^{2} {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)}^{2} + 15 \, {\left(\sqrt{a^{2} + \frac{1}{x^{2}}} - \frac{1}{x}\right)}^{4}\right)}}{15 \, {\left(a i - \sqrt{a^{2} + \frac{1}{x^{2}}} + \frac{1}{x}\right)}^{5}}"," ",0,"-2/15*(5*a^3*i*(sqrt(a^2 + 1/x^2) - 1/x) - 15*a*i*(sqrt(a^2 + 1/x^2) - 1/x)^3 + 4*a^4 - 25*a^2*(sqrt(a^2 + 1/x^2) - 1/x)^2 + 15*(sqrt(a^2 + 1/x^2) - 1/x)^4)/(a*i - sqrt(a^2 + 1/x^2) + 1/x)^5","B",0
328,0,0,0,0.000000," ","integrate((1+I*a*x)^5/(a^2*x^2+1)^(5/2)/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)}^{5}}{{\left(a^{2} c x^{2} + c\right)}^{\frac{3}{2}} {\left(a^{2} x^{2} + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((I*a*x + 1)^5/((a^2*c*x^2 + c)^(3/2)*(a^2*x^2 + 1)^(5/2)), x)","F",0
329,1,135,0,0.158202," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, {\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)}^{2} c i - 15 \, {\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)}^{3} \sqrt{c} + c^{2} i + 5 \, {\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)} c^{\frac{3}{2}}\right)}}{15 \, {\left(\sqrt{c} i + \sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)}^{5} a c}"," ",0,"-2/15*(5*(sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))^2*c*i - 15*(sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))^3*sqrt(c) + c^2*i + 5*(sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))*c^(3/2))/((sqrt(c)*i + sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))^5*a*c)","B",0
330,0,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)}^{3}}{{\left(a^{2} c x^{2} + c\right)}^{\frac{3}{2}} {\left(a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((I*a*x + 1)^3/((a^2*c*x^2 + c)^(3/2)*(a^2*x^2 + 1)^(3/2)), x)","F",0
331,1,76,0,0.180452," ","integrate((1+I*a*x)^2/(a^2*x^2+1)/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{a^{2} c} {\left(\sqrt{c} i + 3 \, \sqrt{a^{2} c} x - 3 \, \sqrt{a^{2} c x^{2} + c}\right)}}{3 \, {\left(\sqrt{c} i + \sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)}^{3} a^{2} c}"," ",0,"-2/3*sqrt(a^2*c)*(sqrt(c)*i + 3*sqrt(a^2*c)*x - 3*sqrt(a^2*c*x^2 + c))/((sqrt(c)*i + sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))^3*a^2*c)","A",0
332,-2,0,0,0.000000," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(3/2),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
333,-2,0,0,0.000000," ","integrate(1/(1+I*a*x)*(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(3/2),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
334,1,75,0,0.253856," ","integrate(1/(1+I*a*x)^2*(a^2*x^2+1)/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, \sqrt{a^{2} c} {\left(\sqrt{c} i - 3 \, \sqrt{a^{2} c} x + 3 \, \sqrt{a^{2} c x^{2} + c}\right)}}{3 \, {\left(\sqrt{c} i - \sqrt{a^{2} c} x + \sqrt{a^{2} c x^{2} + c}\right)}^{3} a^{2} c}"," ",0,"-2/3*sqrt(a^2*c)*(sqrt(c)*i - 3*sqrt(a^2*c)*x + 3*sqrt(a^2*c*x^2 + c))/((sqrt(c)*i - sqrt(a^2*c)*x + sqrt(a^2*c*x^2 + c))^3*a^2*c)","A",0
335,-2,0,0,0.000000," ","integrate(1/(1+I*a*x)^3*(a^2*x^2+1)^(3/2)/(a^2*c*x^2+c)^(3/2),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
336,1,134,0,0.165916," ","integrate(1/(1+I*a*x)^4*(a^2*x^2+1)^2/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, {\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)}^{2} c i + 15 \, {\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)}^{3} \sqrt{c} + c^{2} i - 5 \, {\left(\sqrt{a^{2} c} x - \sqrt{a^{2} c x^{2} + c}\right)} c^{\frac{3}{2}}\right)}}{15 \, {\left(\sqrt{c} i - \sqrt{a^{2} c} x + \sqrt{a^{2} c x^{2} + c}\right)}^{5} a c}"," ",0,"-2/15*(5*(sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))^2*c*i + 15*(sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))^3*sqrt(c) + c^2*i - 5*(sqrt(a^2*c)*x - sqrt(a^2*c*x^2 + c))*c^(3/2))/((sqrt(c)*i - sqrt(a^2*c)*x + sqrt(a^2*c*x^2 + c))^5*a*c)","B",0
337,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*(a^2*c*x^2+c)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
338,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
339,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
340,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^3/(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
341,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^2/(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
342,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x/(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
343,1,17,0,0.122237," ","integrate(exp(n*arctan(a*x))/(a^2*c*x^2+c),x, algorithm=""giac"")","\frac{e^{\left(n \arctan\left(a x\right)\right)}}{a c n}"," ",0,"e^(n*arctan(a*x))/(a*c*n)","A",0
344,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/x/(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
345,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/x^2/(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
346,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/x^3/(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
347,-1,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/(a^2*c*x^2+c)^4,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
348,-2,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*(a^2*c*x^2+c)^(3/2),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
349,-2,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*(a^2*c*x^2+c)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
350,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
351,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^2*(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
352,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^2*(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
353,-2,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^3/(a^2*c*x^2+c)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
354,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^2/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
355,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
356,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
357,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/x/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
358,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/x^2/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
359,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/x^3/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
360,-2,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*(a^2*c*x^2+c)^(1/3),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value","F(-2)",0
361,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/(a^2*c*x^2+c)^(1/3),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
362,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/(a^2*c*x^2+c)^(2/3),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
363,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))/(a^2*c*x^2+c)^(4/3),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
364,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^m*(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
365,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^m/(a^2*c*x^2+c),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
366,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^m/(a^2*c*x^2+c)^2,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
367,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^m/(a^2*c*x^2+c)^3,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
368,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^m/(a^2*c*x^2+c)^(1/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
369,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^m/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
370,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*x^m/(a^2*c*x^2+c)^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
371,0,0,0,0.000000," ","integrate(exp(n*arctan(a*x))*(a^2*c*x^2+c)^p,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
372,0,0,0,0.000000," ","integrate((a^2*c*x^2+c)^p/exp(2*I*p*arctan(a*x)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
373,0,0,0,0.000000," ","integrate(exp(2*I*p*arctan(a*x))*(a^2*c*x^2+c)^p,x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
374,0,0,0,0.000000," ","integrate(exp(I*n*arctan(a*x))*x^2*(a^2*c*x^2+c)^(-1-1/2*n^2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
375,1,318,0,0.137102," ","integrate((1+I*a*x)^6/(a^2*x^2+1)^3*x^2/(a^2*c*x^2+c)^19,x, algorithm=""giac"")","-\frac{358229025 \, a^{14} x^{14} - 5340869100 \, a^{13} i x^{13} - 37114698075 \, a^{12} x^{12} + 159416118225 \, a^{11} i x^{11} + 473088806190 \, a^{10} x^{10} - 1026819468675 \, a^{9} i x^{9} - 1682288472150 \, a^{8} x^{8} + 2115551402250 \, a^{7} i x^{7} + 2054435046125 \, a^{6} x^{6} - 1535397250002 \, a^{5} i x^{5} - 870854759775 \, a^{4} x^{4} + 364307533205 \, a^{3} i x^{3} + 106553746740 \, a^{2} x^{2} - 19571887695 \, a i x - 1710785408}{901943132160 \, {\left(a x - i\right)}^{15} a^{3} c^{19}} + \frac{358229025 \, a^{20} x^{20} + 7555375800 \, a^{19} i x^{19} - 75901131600 \, a^{18} x^{18} - 483051354975 \, a^{17} i x^{17} + 2184946607340 \, a^{16} x^{16} + 7469205450840 \, a^{15} i x^{15} - 20031221295000 \, a^{14} x^{14} - 43177004037300 \, a^{13} i x^{13} + 76013078916950 \, a^{12} x^{12} + 110448380006328 \, a^{11} i x^{11} - 133277726128008 \, a^{10} x^{10} - 133908931763530 \, a^{9} i x^{9} + 111933156213900 \, a^{8} x^{8} + 77492989590120 \, a^{7} i x^{7} - 44041557267624 \, a^{6} x^{6} - 20244576347604 \, a^{5} i x^{5} + 7349182966545 \, a^{4} x^{4} + 2026362494800 \, a^{3} i x^{3} - 396520754280 \, a^{2} x^{2} - 48177926223 \, a i x + 2584181888}{901943132160 \, {\left(a x + i\right)}^{21} a^{3} c^{19}}"," ",0,"-1/901943132160*(358229025*a^14*x^14 - 5340869100*a^13*i*x^13 - 37114698075*a^12*x^12 + 159416118225*a^11*i*x^11 + 473088806190*a^10*x^10 - 1026819468675*a^9*i*x^9 - 1682288472150*a^8*x^8 + 2115551402250*a^7*i*x^7 + 2054435046125*a^6*x^6 - 1535397250002*a^5*i*x^5 - 870854759775*a^4*x^4 + 364307533205*a^3*i*x^3 + 106553746740*a^2*x^2 - 19571887695*a*i*x - 1710785408)/((a*x - i)^15*a^3*c^19) + 1/901943132160*(358229025*a^20*x^20 + 7555375800*a^19*i*x^19 - 75901131600*a^18*x^18 - 483051354975*a^17*i*x^17 + 2184946607340*a^16*x^16 + 7469205450840*a^15*i*x^15 - 20031221295000*a^14*x^14 - 43177004037300*a^13*i*x^13 + 76013078916950*a^12*x^12 + 110448380006328*a^11*i*x^11 - 133277726128008*a^10*x^10 - 133908931763530*a^9*i*x^9 + 111933156213900*a^8*x^8 + 77492989590120*a^7*i*x^7 - 44041557267624*a^6*x^6 - 20244576347604*a^5*i*x^5 + 7349182966545*a^4*x^4 + 2026362494800*a^3*i*x^3 - 396520754280*a^2*x^2 - 48177926223*a*i*x + 2584181888)/((a*x + i)^21*a^3*c^19)","B",0
376,1,151,0,0.145468," ","integrate((1+I*a*x)^4/(a^2*x^2+1)^2*x^2/(a^2*c*x^2+c)^9,x, algorithm=""giac"")","-\frac{2145 \, a^{5} x^{5} - 12540 \, a^{4} i x^{4} - 30030 \, a^{3} x^{3} + 37080 \, a^{2} i x^{2} + 23841 \, a x - 6476 \, i}{983040 \, {\left(a x - i\right)}^{6} a^{3} c^{9}} + \frac{2145 \, a^{9} x^{9} + 21780 \, a^{8} i x^{8} - 99660 \, a^{7} x^{7} - 270480 \, a^{6} i x^{6} + 481446 \, a^{5} x^{5} + 584920 \, a^{4} i x^{4} - 486220 \, a^{3} x^{3} - 265680 \, a^{2} i x^{2} + 84065 \, a x + 9908 \, i}{983040 \, {\left(a x + i\right)}^{10} a^{3} c^{9}}"," ",0,"-1/983040*(2145*a^5*x^5 - 12540*a^4*i*x^4 - 30030*a^3*x^3 + 37080*a^2*i*x^2 + 23841*a*x - 6476*i)/((a*x - i)^6*a^3*c^9) + 1/983040*(2145*a^9*x^9 + 21780*a^8*i*x^8 - 99660*a^7*x^7 - 270480*a^6*i*x^6 + 481446*a^5*x^5 + 584920*a^4*i*x^4 - 486220*a^3*x^3 - 265680*a^2*i*x^2 + 84065*a*x + 9908*i)/((a*x + i)^10*a^3*c^9)","B",0
377,1,48,0,0.117937," ","integrate((1+I*a*x)^2/(a^2*x^2+1)*x^2/(a^2*c*x^2+c)^3,x, algorithm=""giac"")","-\frac{1}{16 \, {\left(a x - i\right)} a^{3} c^{3}} + \frac{3 \, a^{2} x^{2} + 12 \, a i x - 5}{48 \, {\left(a x + i\right)}^{3} a^{3} c^{3}}"," ",0,"-1/16/((a*x - i)*a^3*c^3) + 1/48*(3*a^2*x^2 + 12*a*i*x - 5)/((a*x + i)^3*a^3*c^3)","A",0
378,1,93,0,0.130830," ","integrate(x^2/(1+I*a*x)^2*(a^2*x^2+1)/(a^2*c*x^2+c)^3,x, algorithm=""giac"")","\frac{1}{32 \, a^{3} c^{3} {\left(i - \frac{2 \, i}{a i x + 1}\right)}} + \frac{\frac{3 \, a^{3} c^{6} i^{2}}{a i x + 1} + \frac{4 \, a^{3} c^{6} i^{4}}{{\left(a i x + 1\right)}^{3}} + \frac{6 \, a^{3} c^{6} i^{2}}{{\left(a i x + 1\right)}^{2}}}{48 \, a^{6} c^{9} i}"," ",0,"1/32/(a^3*c^3*(i - 2*i/(a*i*x + 1))) + 1/48*(3*a^3*c^6*i^2/(a*i*x + 1) + 4*a^3*c^6*i^4/(a*i*x + 1)^3 + 6*a^3*c^6*i^2/(a*i*x + 1)^2)/(a^6*c^9*i)","B",0
379,1,151,0,0.144562," ","integrate(x^2/(1+I*a*x)^4*(a^2*x^2+1)^2/(a^2*c*x^2+c)^9,x, algorithm=""giac"")","-\frac{2145 \, a^{5} x^{5} + 12540 \, a^{4} i x^{4} - 30030 \, a^{3} x^{3} - 37080 \, a^{2} i x^{2} + 23841 \, a x + 6476 \, i}{983040 \, {\left(a x + i\right)}^{6} a^{3} c^{9}} + \frac{2145 \, a^{9} x^{9} - 21780 \, a^{8} i x^{8} - 99660 \, a^{7} x^{7} + 270480 \, a^{6} i x^{6} + 481446 \, a^{5} x^{5} - 584920 \, a^{4} i x^{4} - 486220 \, a^{3} x^{3} + 265680 \, a^{2} i x^{2} + 84065 \, a x - 9908 \, i}{983040 \, {\left(a x - i\right)}^{10} a^{3} c^{9}}"," ",0,"-1/983040*(2145*a^5*x^5 + 12540*a^4*i*x^4 - 30030*a^3*x^3 - 37080*a^2*i*x^2 + 23841*a*x + 6476*i)/((a*x + i)^6*a^3*c^9) + 1/983040*(2145*a^9*x^9 - 21780*a^8*i*x^8 - 99660*a^7*x^7 + 270480*a^6*i*x^6 + 481446*a^5*x^5 - 584920*a^4*i*x^4 - 486220*a^3*x^3 + 265680*a^2*i*x^2 + 84065*a*x - 9908*i)/((a*x - i)^10*a^3*c^9)","B",0
380,0,0,0,0.000000," ","integrate((1+I*a*x)^5/(a^2*x^2+1)^(5/2)*x^2/(a^2*c*x^2+c)^(27/2),x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)}^{5} x^{2}}{{\left(a^{2} c x^{2} + c\right)}^{\frac{27}{2}} {\left(a^{2} x^{2} + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((I*a*x + 1)^5*x^2/((a^2*c*x^2 + c)^(27/2)*(a^2*x^2 + 1)^(5/2)), x)","F",0
381,0,0,0,0.000000," ","integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)*x^2/(a^2*c*x^2+c)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)}^{3} x^{2}}{{\left(a^{2} c x^{2} + c\right)}^{\frac{11}{2}} {\left(a^{2} x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((I*a*x + 1)^3*x^2/((a^2*c*x^2 + c)^(11/2)*(a^2*x^2 + 1)^(3/2)), x)","F",0
382,0,0,0,0.000000," ","integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)*x^2/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(i \, a x + 1\right)} x^{2}}{{\left(a^{2} c x^{2} + c\right)}^{\frac{3}{2}} \sqrt{a^{2} x^{2} + 1}}\,{d x}"," ",0,"integrate((I*a*x + 1)*x^2/((a^2*c*x^2 + c)^(3/2)*sqrt(a^2*x^2 + 1)), x)","F",0
383,0,0,0,0.000000," ","integrate(x^2/(1+I*a*x)*(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(3/2),x, algorithm=""giac"")","\int \frac{\sqrt{a^{2} x^{2} + 1} x^{2}}{{\left(a^{2} c x^{2} + c\right)}^{\frac{3}{2}} {\left(i \, a x + 1\right)}}\,{d x}"," ",0,"integrate(sqrt(a^2*x^2 + 1)*x^2/((a^2*c*x^2 + c)^(3/2)*(I*a*x + 1)), x)","F",0
384,0,0,0,0.000000," ","integrate(x^2/(1+I*a*x)^3*(a^2*x^2+1)^(3/2)/(a^2*c*x^2+c)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(a^{2} x^{2} + 1\right)}^{\frac{3}{2}} x^{2}}{{\left(a^{2} c x^{2} + c\right)}^{\frac{11}{2}} {\left(i \, a x + 1\right)}^{3}}\,{d x}"," ",0,"integrate((a^2*x^2 + 1)^(3/2)*x^2/((a^2*c*x^2 + c)^(11/2)*(I*a*x + 1)^3), x)","F",0
385,-2,0,0,0.000000," ","integrate(x^2/(1+I*a*x)^5*(a^2*x^2+1)^(5/2)/(a^2*c*x^2+c)^(27/2),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,%%%{-2,[2,1,2]%%%}+%%%{-2,[2,0,2]%%%}+%%%{-2,[0,1,0]%%%}+%%%{-2,[0,0,0]%%%},0,%%%{1,[4,2,4]%%%}+%%%{-2,[4,1,4]%%%}+%%%{1,[4,0,4]%%%}+%%%{2,[2,2,2]%%%}+%%%{-4,[2,1,2]%%%}+%%%{2,[2,0,2]%%%}+%%%{1,[0,2,0]%%%}+%%%{-2,[0,1,0]%%%}+%%%{1,[0,0,0]%%%}] at parameters values [86,-97,-82]Warning, choosing root of [1,0,%%%{-2,[2,1,2]%%%}+%%%{-2,[2,0,2]%%%}+%%%{-2,[0,1,0]%%%}+%%%{-2,[0,0,0]%%%},0,%%%{1,[4,2,4]%%%}+%%%{-2,[4,1,4]%%%}+%%%{1,[4,0,4]%%%}+%%%{2,[2,2,2]%%%}+%%%{-4,[2,1,2]%%%}+%%%{2,[2,0,2]%%%}+%%%{1,[0,2,0]%%%}+%%%{-2,[0,1,0]%%%}+%%%{1,[0,0,0]%%%}] at parameters values [7,-27,26]ext_reduce Error: Bad Argument Typeext_reduce Error: Bad Argument Typeext_reduce Error: Bad Argument Typeext_reduce Error: Bad Argument TypeEvaluation time: 4.04Done","F(-2)",0
