2.3.28 Integrals 2701 to 2800

2.3.28.1 Giac [F(-2)]

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

[In]

integrate(arctanh(a*x)^2*(-a^2*x^2+1)^(1/2)/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(443\)

2.3.28.2 Giac [F(-2)]

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

[In]

integrate(arctanh(a*x)^2*(-a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(444\)

2.3.28.3 Giac [F(-2)]

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

[In]

integrate(arctanh(a*x)^2*(-a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(445\)

2.3.28.4 Giac [F(-2)]

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

[In]

integrate(arctanh(a*x)^2*(-a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(446\)

2.3.28.5 Giac [F(-2)]

Exception generated. \[ \int x^3 \left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*(-a^2*x^2+1)^(3/2)*arctanh(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(448\)

2.3.28.6 Giac [F(-2)]

Exception generated. \[ \int x \left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*(-a^2*x^2+1)^(3/2)*arctanh(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(450\)

2.3.28.7 Giac [F(-2)]

Exception generated. \[ \int \left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*x^2+1)^(3/2)*arctanh(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(451\)

2.3.28.8 Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x)}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(452\)

2.3.28.9 Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x)}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(453\)

2.3.28.10 Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x)}{x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(454\)

2.3.28.11 Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x)}{x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(455\)

2.3.28.12 Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x)}{x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(456\)

2.3.28.13 Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x)}{x^6} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/x^6,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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(457\)

2.3.28.14 Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x)}{x^7} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*x^2+1)^(3/2)*arctanh(a*x)/x^7,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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(458\)

2.3.28.15 Giac [F(-2)]

Exception generated. \[ \int \left (1-a^2 x^2\right )^{5/2} \text {arctanh}(a x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*x^2+1)^(5/2)*arctanh(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(459\)

2.3.28.16 Giac [F(-2)]

Exception generated. \[ \int \left (1-a^2 x^2\right )^{3/2} \text {arctanh}(a x) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a^2*x^2+1)^(3/2)*arctanh(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(460\)

2.3.28.17 Giac [F(-2)]

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

[In]

integrate((-a^2*x^2+1)^(1/2)*arctanh(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(461\)

2.3.28.18 Giac [F(-2)]

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

[In]

integrate((-a^2*c*x^2+c)^(3/2)*arctanh(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(465\)

2.3.28.19 Giac [F(-2)]

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

[In]

integrate((-a^2*c*x^2+c)^(1/2)*arctanh(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(466\)

2.3.28.20 Giac [F(-2)]

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

[In]

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(471\)

2.3.28.21 Giac [F(-2)]

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

[In]

integrate((-a^2*x^2+1)^(1/2)*arctanh(a*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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(475\)

2.3.28.22 Giac [F(-2)]

Exception generated. \[ \int x^3 (a+b \text {arctanh}(c x)) \left (d+e \log \left (1-c^2 x^2\right )\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*(a+b*arctanh(c*x))*(d+e*log(-c^2*x^2+1)),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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(523\)

2.3.28.23 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(1\)

2.3.28.24 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(3\)

2.3.28.25 Giac [F(-2)]

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

[In]

integrate(x^3/(a*x+1)*(-a^2*x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(34\)

2.3.28.26 Giac [F(-2)]

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

[In]

integrate(x^2/(a*x+1)*(-a^2*x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(35\)

2.3.28.27 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)*(-a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(39\)

2.3.28.28 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)*(-a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(41\)

2.3.28.29 Giac [F(-2)]

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

[In]

integrate(x^3/(a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(51\)

2.3.28.30 Giac [F(-2)]

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

[In]

integrate(((a*x+1)/(-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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(72\)

2.3.28.31 Giac [F(-2)]

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

[In]

integrate(((a*x+1)/(-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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(76\)

2.3.28.32 Giac [F(-2)]

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

[In]

integrate(((a*x+1)/(-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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(78\)

2.3.28.33 Giac [F(-2)]

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

[In]

integrate(((a*x+1)/(-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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(81\)

2.3.28.34 Giac [F(-2)]

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

[In]

integrate(((a*x+1)/(-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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(82\)

2.3.28.35 Giac [F(-2)]

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

[In]

integrate(x^2/((a*x+1)/(-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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(92\)

2.3.28.36 Giac [F(-2)]

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

[In]

integrate(x^m/((a*x+1)/(-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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(100\)

2.3.28.37 Giac [F(-2)]

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

[In]

integrate(x^3/((a*x+1)/(-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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(101\)

2.3.28.38 Giac [F(-2)]

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

[In]

integrate(x^m/((a*x+1)/(-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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(110\)

2.3.28.39 Giac [F(-2)]

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

[In]

integrate(x^3/((a*x+1)/(-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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(111\)

2.3.28.40 Giac [F(-2)]

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

[In]

integrate((a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(142\)

2.3.28.41 Giac [F(-2)]

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

[In]

integrate(x^m/(a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(147\)

2.3.28.42 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^p,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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(177\)

2.3.28.43 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^p/(a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(216\)

2.3.28.44 Giac [F(-2)]

Exception generated. \[ \int e^{\text {arctanh}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*(-a*c*x+c)^(7/2),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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(227\)

2.3.28.45 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*(-a*c*x+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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(229\)

2.3.28.46 Giac [F(-2)]

Exception generated. \[ \int e^{3 \text {arctanh}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(7/2),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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(244\)

2.3.28.47 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(246\)

2.3.28.48 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(247\)

2.3.28.49 Giac [F(-2)]

Exception generated. \[ \int e^{-\text {arctanh}(a x)} (c-a c x)^{9/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a*c*x+c)^(9/2)/(a*x+1)*(-a^2*x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(252\)

2.3.28.50 Giac [F(-2)]

Exception generated. \[ \int e^{-\text {arctanh}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a*c*x+c)^(7/2)/(a*x+1)*(-a^2*x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(253\)

2.3.28.51 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(5/2)/(a*x+1)*(-a^2*x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(254\)

2.3.28.52 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(3/2)/(a*x+1)*(-a^2*x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(255\)

2.3.28.53 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)*(-a^2*x^2+1)^(1/2)/(-a*c*x+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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(257\)

2.3.28.54 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)*(-a^2*x^2+1)^(1/2)/(-a*c*x+c)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(259\)

2.3.28.55 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(5/2)/(a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(270\)

2.3.28.56 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(3/2)/(a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(271\)

2.3.28.57 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)/(a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(272\)

2.3.28.58 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/(-a*c*x+c)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(275\)

2.3.28.59 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-3 \text {arctanh}(a x)}}{(c-a c x)^{9/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/(-a*c*x+c)^(9/2),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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(277\)

2.3.28.60 Giac [F(-2)]

Exception generated. \[ \int e^{n \text {arctanh}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(n*arctanh(a*x))*(-a*c*x+c)^(7/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,8,1,0,0]%%%}+%%%{-4,[0,6,1,1,0]%%%}+%%%{6,[0,4,1,2,
0]%%%}+%%%{

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(278\)

2.3.28.61 Giac [F(-2)]

Exception generated. \[ \int e^{n \text {arctanh}(a x)} (c-a c x)^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(n*arctanh(a*x))*(-a*c*x+c)^(5/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1,[0,6,1,0,0]%%%}+%%%{3,[0,4,1,1,0]%%%}+%%%{-3,[0,2,1,2
,0]%%%}+%%%

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(279\)

2.3.28.62 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,4,1,0,0]%%%}+%%%{-2,[0,2,1,1,0]%%%}+%%%{1,[0,0,1,2,
0]%%%} / %%

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(280\)

2.3.28.63 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^4/(-a*c*x+c),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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(327\)

2.3.28.64 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2/(-a*c*x+c),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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(329\)

2.3.28.65 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^4/(-a*c*x+c)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(336\)

2.3.28.66 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2/(-a*c*x+c)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(338\)

2.3.28.67 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arctanh}(a x)} x}{(c-a c x)^2} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

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

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 1/abs(sageVARa)/sageVARc^2/sageVARa/sage
VARc*(-(-6*sageVARc*atan(i)-(-7*i)*sageVARc)/3*sign((sageVARa*sageVARc*sageVARx-sageVARc)^-1)*sign(sageVARa)*s
ign(sageVARc)-2*sageV

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(339\)

2.3.28.68 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^4/(-a*c*x+c)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(345\)

2.3.28.69 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2/(-a*c*x+c)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(347\)

2.3.28.70 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^4/(-a*c*x+c)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(355\)

2.3.28.71 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2/(-a*c*x+c)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(357\)

2.3.28.72 Giac [F(-2)]

Exception generated. \[ \int e^{\text {arctanh}(x)} x (1+x)^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+x)^(5/2)/(-x^2+1)^(1/2)*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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(371\)

2.3.28.73 Giac [F(-2)]

Exception generated. \[ \int e^{\text {arctanh}(x)} (1+x)^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+x)^(5/2)/(-x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(372\)

2.3.28.74 Giac [F(-2)]

Exception generated. \[ \int e^{\text {arctanh}(x)} x \sqrt {1+x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+x)^(3/2)/(-x^2+1)^(1/2)*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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(375\)

2.3.28.75 Giac [F(-2)]

Exception generated. \[ \int e^{\text {arctanh}(x)} \sqrt {1+x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+x)^(3/2)/(-x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(376\)

2.3.28.76 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arctanh}(x)} x}{\sqrt {1+x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+x)^(1/2)/(-x^2+1)^(1/2)*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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(379\)

2.3.28.77 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^2*(-a*c*x+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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(388\)

2.3.28.78 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^3*(-a*c*x+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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(402\)

2.3.28.79 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x*(-a*c*x+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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(404\)

2.3.28.80 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(405\)

2.3.28.81 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(1/2)/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(406\)

2.3.28.82 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(407\)

2.3.28.83 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(408\)

2.3.28.84 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(409\)

2.3.28.85 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(-a*c*x+c)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(410\)

2.3.28.86 Giac [F(-2)]

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

[In]

integrate(x^2*(-a*c*x+c)^(1/2)/(a*x+1)*(-a^2*x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(412\)

2.3.28.87 Giac [F(-2)]

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

[In]

integrate(x^3*(-a*c*x+c)^(1/2)/(a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(428\)

2.3.28.88 Giac [F(-2)]

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

[In]

integrate(x^2*(-a*c*x+c)^(1/2)/(a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(429\)

2.3.28.89 Giac [F(-2)]

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

[In]

integrate(x*(-a*c*x+c)^(1/2)/(a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(430\)

2.3.28.90 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)/(a*x+1)^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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(431\)

2.3.28.91 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(432\)

2.3.28.92 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)/(a*x+1)^3*(-a^2*x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(433\)

2.3.28.93 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)/(a*x+1)^3*(-a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(434\)

2.3.28.94 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)/(a*x+1)^3*(-a^2*x^2+1)^(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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(435\)

2.3.28.95 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)/(a*x+1)^3*(-a^2*x^2+1)^(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:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(436\)

2.3.28.96 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)/(c-c/a/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(453\)

2.3.28.97 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\text {arctanh}(a x)}}{\left (c-\frac {c}{a x}\right )^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)/(c-c/a/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(455\)

2.3.28.98 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)/(c-c/a/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(472\)

2.3.28.99 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)*(-a^2*x^2+1)^(1/2)/(c-c/a/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(491\)

2.3.28.100 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-3 \text {arctanh}(a x)}}{\left (c-\frac {c}{a x}\right )^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/(c-c/a/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 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.6_Exponentials_of_inverse_hyperbolic_tangent_functions.txt

Test file number \(196\)

Integral number in file \(509\)