2.3.29 Integrals 2801 to 2900

2.3.29.1 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*(c-c/a/x)^(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 \(511\)

2.3.29.2 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*(c-c/a/x)^(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 \(513\)

2.3.29.3 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*(c-c/a/x)^(9/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Limit: Max order reached or unable to make series expansion 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 \(518\)

2.3.29.4 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*(c-c/a/x)^(7/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Limit: Max order reached or unable to make series expansion 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 \(519\)

2.3.29.5 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Limit: Max order reached or unable to make series expansion 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 \(520\)

2.3.29.6 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Limit: Max order reached or unable to make series expansion 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 \(521\)

2.3.29.7 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(c-c/a/x)^(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 \(528\)

2.3.29.8 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(c-c/a/x)^(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 \(530\)

2.3.29.9 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(c-c/a/x)^(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 \(531\)

2.3.29.10 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(535\)

2.3.29.11 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(536\)

2.3.29.12 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(537\)

2.3.29.13 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(538\)

2.3.29.14 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)*(-a^2*x^2+1)^(1/2)/(c-c/a/x)^(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 \(542\)

2.3.29.15 Giac [F(-2)]

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

[In]

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

Test file number \(196\)

Integral number in file \(544\)

2.3.29.16 Giac [F(-2)]

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

[In]

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

Test file number \(196\)

Integral number in file \(545\)

2.3.29.17 Giac [F(-2)]

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

[In]

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

Test file number \(196\)

Integral number in file \(546\)

2.3.29.18 Giac [F(-2)]

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

[In]

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

Test file number \(196\)

Integral number in file \(547\)

2.3.29.19 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(1/2)/(a*x+1)^2*(-a^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:Error: Bad Argument Type

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 \(548\)

2.3.29.20 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^2*(-a^2*x^2+1)/(c-c/a/x)^(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 \(549\)

2.3.29.21 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^2*(-a^2*x^2+1)/(c-c/a/x)^(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 \(550\)

2.3.29.22 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^2*(-a^2*x^2+1)/(c-c/a/x)^(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 \(551\)

2.3.29.23 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^2*(-a^2*x^2+1)/(c-c/a/x)^(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 \(552\)

2.3.29.24 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^2*(-a^2*x^2+1)/(c-c/a/x)^(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 \(553\)

2.3.29.25 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(9/2)/(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 \(554\)

2.3.29.26 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(7/2)/(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 \(555\)

2.3.29.27 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(556\)

2.3.29.28 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(557\)

2.3.29.29 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(558\)

2.3.29.30 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/(c-c/a/x)^(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 \(561\)

2.3.29.31 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Limit: Max order reached or unable to make series expansion 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 \(577\)

2.3.29.32 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*(c-c/a/x)^(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:Unable to divide, perhaps due to rounding error%%%{%%%{6,[2,1,5]%%%}+%%%{-6,[1,1,4]%%%}+%%%{-6,[0,1,3]%%%},
[4]%%%}+%%%

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 \(578\)

2.3.29.33 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*(c-c/a/x)^(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:Unable to divide, perhaps due to rounding error%%%{%%%{%%{[-5,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,5]%%%},[6]%%%}+
%%%{%%{[%%%

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 \(579\)

2.3.29.34 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*(c-c/a/x)^(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:Unable to divide, perhaps due to rounding error%%%{%%%{210,[2,1,9]%%%}+%%%{-210,[1,1,8]%%%}+%%%{-210,[0,1,7
]%%%},[8]%%

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 \(580\)

2.3.29.35 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*(c-c/a/x)^(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:Unable to divide, perhaps due to rounding error%%%{%%%{%%{[-315,0]:[1,0,%%%{-1,[1]%%%}]%%},[0,9]%%%},[10]%%
%}+%%%{%%{[

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 \(581\)

2.3.29.36 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^2*(c-c/a/x)^(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 \(583\)

2.3.29.37 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x*(c-c/a/x)^(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 \(584\)

2.3.29.38 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(c-c/a/x)^(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 \(585\)

2.3.29.39 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(c-c/a/x)^(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 \(586\)

2.3.29.40 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(c-c/a/x)^(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 \(587\)

2.3.29.41 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(c-c/a/x)^(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 \(588\)

2.3.29.42 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(c-c/a/x)^(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 \(589\)

2.3.29.43 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*(c-c/a/x)^(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 \(590\)

2.3.29.44 Giac [F(-2)]

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

[In]

integrate(x^2*(c-c/a/x)^(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 \(592\)

2.3.29.45 Giac [F(-2)]

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

[In]

integrate(x^3*(c-c/a/x)^(1/2)/(a*x+1)^2*(-a^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:Error: Bad Argument Type

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 \(599\)

2.3.29.46 Giac [F(-2)]

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

[In]

integrate(x^2*(c-c/a/x)^(1/2)/(a*x+1)^2*(-a^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:Error: Bad Argument Type

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 \(600\)

2.3.29.47 Giac [F(-2)]

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

[In]

integrate(x*(c-c/a/x)^(1/2)/(a*x+1)^2*(-a^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:Error: Bad Argument Type

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 \(601\)

2.3.29.48 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(1/2)/(a*x+1)^2*(-a^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:Error: Bad Argument Type

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 \(602\)

2.3.29.49 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(1/2)/(a*x+1)^2*(-a^2*x^2+1)/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 \(603\)

2.3.29.50 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m operator + 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 \(604\)

2.3.29.51 Giac [F(-2)]

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

[In]

integrate(x^3*(c-c/a/x)^(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 \(608\)

2.3.29.52 Giac [F(-2)]

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

[In]

integrate(x^2*(c-c/a/x)^(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 \(609\)

2.3.29.53 Giac [F(-2)]

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

[In]

integrate(x*(c-c/a/x)^(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 \(610\)

2.3.29.54 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(611\)

2.3.29.55 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(612\)

2.3.29.56 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(613\)

2.3.29.57 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(614\)

2.3.29.58 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(615\)

2.3.29.59 Giac [F(-2)]

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

[In]

integrate((c-c/a/x)^(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 \(616\)

2.3.29.60 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)/(c-c/a^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 \(649\)

2.3.29.61 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/(c-c/a^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 \(682\)

2.3.29.62 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)/(c-c/a^2/x^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 \(692\)

2.3.29.63 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)/(c-c/a^2/x^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 \(693\)

2.3.29.64 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)/(c-c/a^2/x^2)^(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 \(694\)

2.3.29.65 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater 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 \(699\)

2.3.29.66 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater 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 \(700\)

2.3.29.67 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)/(c-c/a^2/x^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 \(701\)

2.3.29.68 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)/(c-c/a^2/x^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 \(702\)

2.3.29.69 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)/(c-c/a^2/x^2)^(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 \(703\)

2.3.29.70 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)/(c-c/a^2/x^2)^(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 \(704\)

2.3.29.71 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)/(c-c/a^2/x^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 \(712\)

2.3.29.72 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)/(c-c/a^2/x^2)^(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 \(713\)

2.3.29.73 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)*(-a^2*x^2+1)^(1/2)/(c-c/a^2/x^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 \(720\)

2.3.29.74 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)*(-a^2*x^2+1)^(1/2)/(c-c/a^2/x^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 \(721\)

2.3.29.75 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)*(-a^2*x^2+1)^(1/2)/(c-c/a^2/x^2)^(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 \(722\)

2.3.29.76 Giac [F(-2)]

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

[In]

integrate((c-c/a^2/x^2)^(1/2)/(a*x+1)^2*(-a^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:index.cc index_m i_lex_is_greater 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 \(727\)

2.3.29.77 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater 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 \(728\)

2.3.29.78 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^2*(-a^2*x^2+1)/(c-c/a^2/x^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 \(729\)

2.3.29.79 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^2*(-a^2*x^2+1)/(c-c/a^2/x^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 \(730\)

2.3.29.80 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^2*(-a^2*x^2+1)/(c-c/a^2/x^2)^(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 \(731\)

2.3.29.81 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/(c-c/a^2/x^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 \(738\)

2.3.29.82 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/(c-c/a^2/x^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 \(739\)

2.3.29.83 Giac [F(-2)]

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

[In]

integrate(1/(a*x+1)^3*(-a^2*x^2+1)^(3/2)/(c-c/a^2/x^2)^(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 \(740\)

2.3.29.84 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:index.cc index_m i_lex_is_greater 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 \(750\)

2.3.29.85 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst 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 \(769\)

2.3.29.86 Giac [F(-2)]

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

[In]

integrate((c-c/a^2/x^2)^(1/2)/(a*x+1)^2*(-a^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:index.cc index_m i_lex_is_greater 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 \(774\)

2.3.29.87 Giac [F(-2)]

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

[In]

integrate(exp(n*arctanh(a*x))*(c-c/a^2/x^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 \(795\)

2.3.29.88 Giac [F(-2)]

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

[In]

integrate(exp(n*arctanh(a*x))*(c-c/a^2/x^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 \(796\)

2.3.29.89 Giac [F(-2)]

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

[In]

integrate(exp(n*arctanh(a*x))/(c-c/a^2/x^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 \(798\)

2.3.29.90 Giac [F(-2)]

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

[In]

integrate(exp(n*arctanh(a*x))/(c-c/a^2/x^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 \(799\)

2.3.29.91 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^3/(-a^2*c*x^2+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 \(888\)

2.3.29.92 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^5/(-a^2*c*x^2+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 \(897\)

2.3.29.93 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^3/(-a^2*c*x^2+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 \(899\)

2.3.29.94 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^7/(-a^2*c*x^2+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 \(907\)

2.3.29.95 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^5/(-a^2*c*x^2+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 \(909\)

2.3.29.96 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^3/(-a^2*c*x^2+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 \(911\)

2.3.29.97 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^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 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 \(949\)

2.3.29.98 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^4/(-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 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 \(957\)

2.3.29.99 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^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 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 \(959\)

2.3.29.100 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^5/(-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 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 \(966\)