2.3.30 Integrals 2901 to 3000

2.3.30.1 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^3/(-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 \(968\)

2.3.30.2 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^5/(-a^2*c*x^2+c)^(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 \(977\)

2.3.30.3 Giac [F(-2)]

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

[In]

integrate((a*x+1)/(-a^2*x^2+1)^(1/2)*x^3/(-a^2*c*x^2+c)^(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 \(979\)

2.3.30.4 Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 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 \(1077\)

2.3.30.5 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT: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 \(1108\)

2.3.30.6 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*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 \(1109\)

2.3.30.7 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT: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 \(1110\)

2.3.30.8 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)/(-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: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 \(1111\)

2.3.30.9 Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 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 \(1112\)

2.3.30.10 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*x^3/(-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 \(1116\)

2.3.30.11 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT: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 \(1117\)

2.3.30.12 Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 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 \(1120\)

2.3.30.13 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*x^m*(-a^2*c*x^2+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 \(1131\)

2.3.30.14 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*x^m*(-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 \(1132\)

2.3.30.15 Giac [F(-2)]

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

[In]

integrate((a*x+1)^2/(-a^2*x^2+1)*x^m*(-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 \(1133\)

2.3.30.16 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^2/(-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 \(1150\)

2.3.30.17 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*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 \(1157\)

2.3.30.18 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^m*(-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 \(1173\)

2.3.30.19 Giac [F(-2)]

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

[In]

integrate((a*x+1)^3/(-a^2*x^2+1)^(3/2)*x^m*(-a^2*c*x^2+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 \(1174\)

2.3.30.20 Giac [F(-2)]

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

[In]

integrate((-a^2*c*x^2+c)^(1/2)/(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 \(1206\)

2.3.30.21 Giac [F(-2)]

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

[In]

integrate(x^3*(-a^2*c*x^2+c)^p/(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 \(1222\)

2.3.30.22 Giac [F(-2)]

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

[In]

integrate((-a^2*c*x^2+c)^p/(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 \(1227\)

2.3.30.23 Giac [F(-2)]

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

[In]

integrate(x^3*(-a^2*c*x^2+c)^(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: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 \(1236\)

2.3.30.24 Giac [F(-2)]

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

[In]

integrate(x^m*(-a^2*c*x^2+c)^(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: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 \(1252\)

2.3.30.25 Giac [F(-2)]

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

[In]

integrate(x^m*(-a^2*c*x^2+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 \(1279\)

2.3.30.26 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{2} \text {arctanh}(a x)} x^3}{\left (c-a^2 c x^2\right )^{5/4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(1/2)*x^3/(-a^2*c*x^2+c)^(5/4),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 \(1297\)

2.3.30.27 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{2} \text {arctanh}(a x)} x^3}{\left (c-a^2 c x^2\right )^{9/8}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((a*x+1)/(-a^2*x^2+1)^(1/2))^(1/2)*x^3/(-a^2*c*x^2+c)^(9/8),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 \(1303\)

2.3.30.28 Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 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 \(1327\)

2.3.30.29 Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 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 \(1329\)

2.3.30.30 Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 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 \(1330\)

2.3.30.31 Giac [F(-2)]

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

[In]

integrate(exp(n*arctanh(a*x))*(-a^2*c*x^2+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 \(1331\)

2.3.30.32 Giac [F(-2)]

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

[In]

integrate(exp(n*arctanh(a*x))*(-a^2*c*x^2+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 \(1332\)

2.3.30.33 Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 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 \(1333\)

2.3.30.34 Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 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 \(1334\)

2.3.30.35 Giac [F(-2)]

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

[In]

integrate(exp(n*arctanh(a*x))*x^3/(-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 \(1341\)

2.3.30.36 Giac [F(-2)]

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

[In]

integrate(exp(n*arctanh(a*x))*x^3/(-a^2*c*x^2+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 \(1348\)

2.3.30.37 Giac [F(-2)]

Exception generated. \[ \int \text {arctanh}\left (a+b f^{c+d x}\right ) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arctanh(a+b*f^(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide,
perhaps due to rounding error%%%{1,[0,1,2,0,0,0]%%%}+%%%{2,[0,1,1,1,1,0]%%%}+%%%{-2,[0,1,1,0,0,0]%%%}+%%%{1,[
0,1,0,2,0,1]%%

input file name 7_Inverse_hyperbolic_functions/7.3_Inverse_hyperbolic_tangent/7.3.7_Inverse_hyperbolic_tangent_functions.txt

Test file number \(197\)

Integral number in file \(352\)

2.3.30.38 Giac [F(-2)]

Exception generated. \[ \int x^5 \left (a+b \coth ^{-1}(c x)\right ) \left (d+e \log \left (1-c^2 x^2\right )\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^5*(a+b*arccoth(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/7.4_Inverse_hyperbolic_cotangent/7.4.1_Inverse_hyperbolic_cotangent_functions.txt

Test file number \(198\)

Integral number in file \(266\)

2.3.30.39 Giac [F(-2)]

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

[In]

integrate(x^3*(a+b*arccoth(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/7.4_Inverse_hyperbolic_cotangent/7.4.1_Inverse_hyperbolic_cotangent_functions.txt

Test file number \(198\)

Integral number in file \(267\)

2.3.30.40 Giac [F(-2)]

Exception generated. \[ \int \coth ^{-1}\left (a+b f^{c+d x}\right ) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(arccoth(a+b*f^(d*x+c)),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide,
perhaps due to rounding error%%%{1,[0,1,2,0,0,0]%%%}+%%%{2,[0,1,1,1,1,0]%%%}+%%%{-2,[0,1,1,0,0,0]%%%}+%%%{1,[
0,1,0,2,0,1]%%

input file name 7_Inverse_hyperbolic_functions/7.4_Inverse_hyperbolic_cotangent/7.4.1_Inverse_hyperbolic_cotangent_functions.txt

Test file number \(198\)

Integral number in file \(289\)

2.3.30.41 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(2\)

2.3.30.42 Giac [F(-2)]

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

[In]

integrate(x^3*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(33\)

2.3.30.43 Giac [F(-2)]

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

[In]

integrate(((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(38\)

2.3.30.44 Giac [F(-2)]

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

[In]

integrate(((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(40\)

2.3.30.45 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(133\)

2.3.30.46 Giac [F(-2)]

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

[In]

integrate(x^m*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(138\)

2.3.30.47 Giac [F(-2)]

Exception generated. \[ \int e^{3 \coth ^{-1}(a x)} (c-a c x)^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(177\)

2.3.30.48 Giac [F(-2)]

Exception generated. \[ \int e^{-3 \coth ^{-1}(a x)} (c-a c x)^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a*c*x+c)^p*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(216\)

2.3.30.49 Giac [F(-2)]

Exception generated. \[ \int e^{\coth ^{-1}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(227\)

2.3.30.50 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(229\)

2.3.30.51 Giac [F(-2)]

Exception generated. \[ \int e^{3 \coth ^{-1}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(244\)

2.3.30.52 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(246\)

2.3.30.53 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(247\)

2.3.30.54 Giac [F(-2)]

Exception generated. \[ \int e^{-\coth ^{-1}(a x)} (c-a c x)^{9/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a*c*x+c)^(9/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(252\)

2.3.30.55 Giac [F(-2)]

Exception generated. \[ \int e^{-\coth ^{-1}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a*c*x+c)^(7/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(253\)

2.3.30.56 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(5/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(254\)

2.3.30.57 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(3/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(255\)

2.3.30.58 Giac [F(-2)]

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

[In]

integrate(((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(257\)

2.3.30.59 Giac [F(-2)]

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

[In]

integrate(((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(259\)

2.3.30.60 Giac [F(-2)]

Exception generated. \[ \int e^{-3 \coth ^{-1}(a x)} (c-a c x)^{9/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a*c*x+c)^(9/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(270\)

2.3.30.61 Giac [F(-2)]

Exception generated. \[ \int e^{-3 \coth ^{-1}(a x)} (c-a c x)^{7/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a*c*x+c)^(7/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(271\)

2.3.30.62 Giac [F(-2)]

Exception generated. \[ \int e^{-3 \coth ^{-1}(a x)} (c-a c x)^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a*c*x+c)^(5/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(272\)

2.3.30.63 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(3/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(273\)

2.3.30.64 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(274\)

2.3.30.65 Giac [F(-2)]

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

[In]

integrate(((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(277\)

2.3.30.66 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(296\)

2.3.30.67 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(310\)

2.3.30.68 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(312\)

2.3.30.69 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(313\)

2.3.30.70 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(314\)

2.3.30.71 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(315\)

2.3.30.72 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(316\)

2.3.30.73 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(317\)

2.3.30.74 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(318\)

2.3.30.75 Giac [F(-2)]

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

[In]

integrate(1/((-1+x)/(1+x))^(1/2)*x*(1+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(319\)

2.3.30.76 Giac [F(-2)]

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

[In]

integrate(1/((-1+x)/(1+x))^(1/2)*(1+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(320\)

2.3.30.77 Giac [F(-2)]

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

[In]

integrate(1/((-1+x)/(1+x))^(1/2)*x*(1+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(323\)

2.3.30.78 Giac [F(-2)]

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

[In]

integrate(1/((-1+x)/(1+x))^(1/2)*(1+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(324\)

2.3.30.79 Giac [F(-2)]

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

[In]

integrate(1/((-1+x)/(1+x))^(1/2)*x/(1+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(327\)

2.3.30.80 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\coth ^{-1}(x)} x}{\sqrt {1-x}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

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

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: (-12*atan(i)+20*i)*1/3/sqrt(2)*sign(sage
VARx+1)-(-2/3*sqrt(-sageVARx-1)*(-sageVARx-1)+2*sqrt(-sageVARx-1)+1/3*(12*atan(i)-20*i)/sqrt(2)-4*atan(sqrt(-s
ageVARx-1)/sqrt(2))/s

input file name 7_Inverse_hyperbolic_functions/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(329\)

2.3.30.81 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\coth ^{-1}(x)}}{\sqrt {1-x}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

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

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: (-4*atan(i)+4*i)/sqrt(2)*sign(sageVARx+1
)-(2*sqrt(-sageVARx-1)+(4*atan(i)-4*i)/sqrt(2)-4*atan(sqrt(-sageVARx-1)/sqrt(2))/sqrt(2))*sign(sageVARx)/sign(
sageVARx+1)

input file name 7_Inverse_hyperbolic_functions/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(330\)

2.3.30.82 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 2*(sqrt(sageVARx-1)+(atan(i)-2*i)/sqrt(2
)-atan(sqrt(sageVARx-1)/sqrt(2))/sqrt(2))*sign(sageVARx)/sign(sageVARx+1)

input file name 7_Inverse_hyperbolic_functions/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(331\)

2.3.30.83 Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 2*(-1/2*sqrt(2)*atan(i)+1/2*sqrt(2)*atan
(sqrt(sageVARx-1)/sqrt(2)))*sign(sageVARx)/sign(sageVARx+1)

input file name 7_Inverse_hyperbolic_functions/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(332\)

2.3.30.84 Giac [F(-2)]

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

[In]

integrate(x^2*(-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(336\)

2.3.30.85 Giac [F(-2)]

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

[In]

integrate(x^3*(-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(350\)

2.3.30.86 Giac [F(-2)]

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

[In]

integrate(x^2*(-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(351\)

2.3.30.87 Giac [F(-2)]

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

[In]

integrate(x*(-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(352\)

2.3.30.88 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(353\)

2.3.30.89 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(354\)

2.3.30.90 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(355\)

2.3.30.91 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(356\)

2.3.30.92 Giac [F(-2)]

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

[In]

integrate((-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(357\)

2.3.30.93 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a*c*x+c)^(1/2)*((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(358\)

2.3.30.94 Giac [F(-2)]

Exception generated. \[ \int e^{n \coth ^{-1}(a x)} (c-a c x)^{5/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(n*arccoth(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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(372\)

2.3.30.95 Giac [F(-2)]

Exception generated. \[ \int e^{n \coth ^{-1}(a x)} (c-a c x)^{3/2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(exp(n*arccoth(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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(373\)

2.3.30.96 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(384\)

2.3.30.97 Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\coth ^{-1}(a x)}}{\left (c-\frac {c}{a x}\right )^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(386\)

2.3.30.98 Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(402\)

2.3.30.99 Giac [F(-2)]

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

[In]

integrate(((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(419\)

2.3.30.100 Giac [F(-2)]

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

[In]

integrate(((a*x-1)/(a*x+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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(437\)