2.3.17 Integrals 1601 to 1700

2.3.17.1 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{2} i \arctan (a x)}}{x^6} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)/x^6,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -28, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(69\)

2.3.17.2 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {3}{2} i \arctan (a x)} x^3 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)*x^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 23, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(70\)

2.3.17.3 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {3}{2} i \arctan (a x)} x^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)*x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(71\)

2.3.17.4 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {3}{2} i \arctan (a x)} x \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)*x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 23, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(72\)

2.3.17.5 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {3}{2} i \arctan (a x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 23, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(73\)

2.3.17.6 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3}{2} i \arctan (a x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 23, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(74\)

2.3.17.7 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3}{2} i \arctan (a x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 23, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(75\)

2.3.17.8 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3}{2} i \arctan (a x)}}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/x^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 23, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(76\)

2.3.17.9 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3}{2} i \arctan (a x)}}{x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/x^4,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 23, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(77\)

2.3.17.10 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3}{2} i \arctan (a x)}}{x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/x^5,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 23, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(78\)

2.3.17.11 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {5}{2} i \arctan (a x)} x^3 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)*x^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(79\)

2.3.17.12 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {5}{2} i \arctan (a x)} x^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)*x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(80\)

2.3.17.13 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {5}{2} i \arctan (a x)} x \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)*x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(81\)

2.3.17.14 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {5}{2} i \arctan (a x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(82\)

2.3.17.15 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {5}{2} i \arctan (a x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(83\)

2.3.17.16 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {5}{2} i \arctan (a x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(84\)

2.3.17.17 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {5}{2} i \arctan (a x)}}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/x^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(85\)

2.3.17.18 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {5}{2} i \arctan (a x)}}{x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/x^4,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(86\)

2.3.17.19 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {5}{2} i \arctan (a x)}}{x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/x^5,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(87\)

2.3.17.20 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {1}{2} i \arctan (a x)} x^3 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(88\)

2.3.17.21 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {1}{2} i \arctan (a x)} x^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(89\)

2.3.17.22 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {1}{2} i \arctan (a x)} x \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(90\)

2.3.17.23 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {1}{2} i \arctan (a x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -28, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(91\)

2.3.17.24 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {1}{2} i \arctan (a x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)/x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(92\)

2.3.17.25 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {1}{2} i \arctan (a x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)/x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(93\)

2.3.17.26 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {1}{2} i \arctan (a x)}}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)/x^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(94\)

2.3.17.27 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {1}{2} i \arctan (a x)}}{x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)/x^4,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(95\)

2.3.17.28 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {1}{2} i \arctan (a x)}}{x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)/x^5,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(96\)

2.3.17.29 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {3}{2} i \arctan (a x)} x^3 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(97\)

2.3.17.30 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {3}{2} i \arctan (a x)} x^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(98\)

2.3.17.31 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {3}{2} i \arctan (a x)} x \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(99\)

2.3.17.32 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {3}{2} i \arctan (a x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(100\)

2.3.17.33 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {3}{2} i \arctan (a x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(101\)

2.3.17.34 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {3}{2} i \arctan (a x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(102\)

2.3.17.35 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {3}{2} i \arctan (a x)}}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/x^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(103\)

2.3.17.36 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {3}{2} i \arctan (a x)}}{x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/x^4,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(104\)

2.3.17.37 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {3}{2} i \arctan (a x)}}{x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)/x^5,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(105\)

2.3.17.38 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {5}{2} i \arctan (a x)} x^3 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 81, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(106\)

2.3.17.39 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {5}{2} i \arctan (a x)} x^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(107\)

2.3.17.40 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {5}{2} i \arctan (a x)} x \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 81, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(108\)

2.3.17.41 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {5}{2} i \arctan (a x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 81, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(109\)

2.3.17.42 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {5}{2} i \arctan (a x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 81, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(110\)

2.3.17.43 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {5}{2} i \arctan (a x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 81, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(111\)

2.3.17.44 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {5}{2} i \arctan (a x)}}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/x^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 81, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(112\)

2.3.17.45 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {5}{2} i \arctan (a x)}}{x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/x^4,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 81, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(113\)

2.3.17.46 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {5}{2} i \arctan (a x)}}{x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)/x^5,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 81, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(114\)

2.3.17.47 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{4} i \arctan (a x)} x^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)*x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -28, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(128\)

2.3.17.48 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{4} i \arctan (a x)} x \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)*x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -28, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(129\)

2.3.17.49 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{4} i \arctan (a x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -28, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(130\)

2.3.17.50 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{4} i \arctan (a x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)/x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -28, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(131\)

2.3.17.51 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{4} i \arctan (a x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)/x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -28, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(132\)

2.3.17.52 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{4} i \arctan (a x)}}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)/x^3,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -28, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(133\)

2.3.17.53 Giac [F(-2)]

Exception generated. \[ \int e^{3 i \arctan (a x)} x^m \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+I*a*x)^3/(a^2*x^2+1)^(3/2)*x^m,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(140\)

2.3.17.54 Giac [F(-2)]

Exception generated. \[ \int e^{-3 i \arctan (a x)} x^m \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^m/(1+I*a*x)^3*(a^2*x^2+1)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(143\)

2.3.17.55 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {5}{2} i \arctan (a x)} x^m \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2)*x^m,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(144\)

2.3.17.56 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {3}{2} i \arctan (a x)} x^m \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2)*x^m,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by 23, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(145\)

2.3.17.57 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{2} i \arctan (a x)} x^m \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2)*x^m,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -28, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(146\)

2.3.17.58 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {1}{2} i \arctan (a x)} x^m \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^m/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(147\)

2.3.17.59 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {3}{2} i \arctan (a x)} x^m \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^m/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -46, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(148\)

2.3.17.60 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {5}{2} i \arctan (a x)} x^m \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^m/((1+I*a*x)/(a^2*x^2+1)^(1/2))^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -8, a substitution variable should perhaps be p
urged.Warni

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(149\)

2.3.17.61 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{4} i \arctan (a x)} x^m \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*a*x)/(a^2*x^2+1)^(1/2))^(1/4)*x^m,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0]Warning, replacing 0 by -28, a substitution variable should perhaps be
purged.Warn

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(152\)

2.3.17.62 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{2} i \arctan (a+b x)} x^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(1/2)*x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by -27, a substitution variable should perhaps b
e purged.Wa

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(216\)

2.3.17.63 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{2} i \arctan (a+b x)} x \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(1/2)*x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by -27, a substitution variable should perhaps b
e purged.Wa

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(217\)

2.3.17.64 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {1}{2} i \arctan (a+b x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by -27, a substitution variable should perhaps b
e purged.Wa

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(218\)

2.3.17.65 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{2} i \arctan (a+b x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(1/2)/x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by -27, a substitution variable should perhaps b
e purged.Wa

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(219\)

2.3.17.66 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{2} i \arctan (a+b x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(1/2)/x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by -27, a substitution variable should perhaps b
e purged.Wa

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(220\)

2.3.17.67 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {3}{2} i \arctan (a+b x)} x^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)*x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 14, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(221\)

2.3.17.68 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {3}{2} i \arctan (a+b x)} x \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)*x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 14, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(222\)

2.3.17.69 Giac [F(-2)]

Exception generated. \[ \int e^{\frac {3}{2} i \arctan (a+b x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 14, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(223\)

2.3.17.70 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3}{2} i \arctan (a+b x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)/x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 14, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(224\)

2.3.17.71 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3}{2} i \arctan (a+b x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)/x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 14, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(225\)

2.3.17.72 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {1}{2} i \arctan (a+b x)} x^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 14, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(226\)

2.3.17.73 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {1}{2} i \arctan (a+b x)} x \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 14, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(227\)

2.3.17.74 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {1}{2} i \arctan (a+b x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by -27, a substitution variable should perhaps b
e purged.Wa

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(228\)

2.3.17.75 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {1}{2} i \arctan (a+b x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(1/2)/x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 14, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(229\)

2.3.17.76 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {1}{2} i \arctan (a+b x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(1/2)/x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 14, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(230\)

2.3.17.77 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {3}{2} i \arctan (a+b x)} x^2 \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 71, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(231\)

2.3.17.78 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {3}{2} i \arctan (a+b x)} x \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 71, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(232\)

2.3.17.79 Giac [F(-2)]

Exception generated. \[ \int e^{-\frac {3}{2} i \arctan (a+b x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 71, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(233\)

2.3.17.80 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {3}{2} i \arctan (a+b x)}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)/x,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 71, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(234\)

2.3.17.81 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {3}{2} i \arctan (a+b x)}}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((1+I*(b*x+a))/(1+(b*x+a)^2)^(1/2))^(3/2)/x^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]Warning, replacing 0 by 71, a substitution variable should perhaps be
 purged.War

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(235\)

2.3.17.82 Giac [F(-2)]

Exception generated. \[ \int e^{\arctan (a x)} \left (c+a^2 c x^2\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(arctan(a*x))*(a^2*c*x^2+c)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(253\)

2.3.17.83 Giac [F(-2)]

Exception generated. \[ \int e^{\arctan (a x)} \sqrt {c+a^2 c x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(arctan(a*x))*(a^2*c*x^2+c)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(254\)

2.3.17.84 Giac [F(-2)]

Exception generated. \[ \int e^{2 \arctan (a x)} \left (c+a^2 c x^2\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(2*arctan(a*x))*(a^2*c*x^2+c)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(267\)

2.3.17.85 Giac [F(-2)]

Exception generated. \[ \int e^{2 \arctan (a x)} \sqrt {c+a^2 c x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(2*arctan(a*x))*(a^2*c*x^2+c)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(268\)

2.3.17.86 Giac [F(-2)]

Exception generated. \[ \int e^{-\arctan (a x)} \left (c+a^2 c x^2\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*c*x^2+c)^(3/2)/exp(arctan(a*x)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(281\)

2.3.17.87 Giac [F(-2)]

Exception generated. \[ \int e^{-\arctan (a x)} \sqrt {c+a^2 c x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*c*x^2+c)^(1/2)/exp(arctan(a*x)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(282\)

2.3.17.88 Giac [F(-2)]

Exception generated. \[ \int e^{-2 \arctan (a x)} \left (c+a^2 c x^2\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*c*x^2+c)^(3/2)/exp(2*arctan(a*x)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(295\)

2.3.17.89 Giac [F(-2)]

Exception generated. \[ \int e^{-2 \arctan (a x)} \sqrt {c+a^2 c x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*c*x^2+c)^(1/2)/exp(2*arctan(a*x)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(296\)

2.3.17.90 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-i \arctan (a x)}}{\sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(1+I*a*x)*(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(315\)

2.3.17.91 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{i \arctan (a x)}}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+I*a*x)/(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(332\)

2.3.17.92 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-i \arctan (a x)}}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(1+I*a*x)*(a^2*x^2+1)^(1/2)/(a^2*c*x^2+c)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(333\)

2.3.17.93 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-3 i \arctan (a x)}}{\left (c+a^2 c x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(335\)

2.3.17.94 Giac [F(-2)]

Exception generated. \[ \int e^{n \arctan (a x)} \left (c+a^2 c x^2\right )^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(n*arctan(a*x))*(a^2*c*x^2+c)^(3/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(348\)

2.3.17.95 Giac [F(-2)]

Exception generated. \[ \int e^{n \arctan (a x)} \sqrt {c+a^2 c x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(n*arctan(a*x))*(a^2*c*x^2+c)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(349\)

2.3.17.96 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{n \arctan (a x)} x^3}{\sqrt {c+a^2 c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(n*arctan(a*x))*x^3/(a^2*c*x^2+c)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(353\)

2.3.17.97 Giac [F(-2)]

Exception generated. \[ \int e^{n \arctan (a x)} \sqrt [3]{c+a^2 c x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(n*arctan(a*x))*(a^2*c*x^2+c)^(1/3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(360\)

2.3.17.98 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-5 i \arctan (a x)} x^2}{\left (c+a^2 c x^2\right )^{27/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

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")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0,0,0]ext_reduce Error: Bad Argument TypeThe choice was done assuming 0=[0,
0,0]ext_red

input file name 5_Inverse_trig_functions/5.3_Inverse_tangent/5.3.6_Exponentials_of_inverse_tangent.txt

Test file number \(152\)

Integral number in file \(385\)

2.3.17.99 Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(a+b x)}{c+d \sqrt {x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccot(b*x+a)/(c+d*x^(1/2)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0]Warning, replacing 0 by -24, a substitution variable should perhaps be pu
rged.Warnin

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(111\)

2.3.17.100 Giac [F(-2)]

Exception generated. \[ \int \frac {\cot ^{-1}(a+b x)}{c+\frac {d}{\sqrt {x}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccot(b*x+a)/(c+d/x^(1/2)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:The choice was done assuming 0=[0]Warning, replacing 0 by -24, a substitution variable should perhaps be pu
rged.Warnin

input file name 5_Inverse_trig_functions/5.4_Inverse_cotangent/5.4.1_Inverse_cotangent_functions.txt

Test file number \(154\)

Integral number in file \(112\)