2.3.27 Integrals 2601 to 2700

2.3.27.1 Giac [F(-2)]

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

[In]

integrate(x^3*(e*x^2+d)^2*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(471\)

2.3.27.2 Giac [F(-2)]

Exception generated. \[ \int x^2 \left (d+e x^2\right )^2 (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^2*(e*x^2+d)^2*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(472\)

2.3.27.3 Giac [F(-2)]

Exception generated. \[ \int x \left (d+e x^2\right )^2 (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x*(e*x^2+d)^2*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(473\)

2.3.27.4 Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^2\right )^2 (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((e*x^2+d)^2*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(474\)

2.3.27.5 Giac [F(-2)]

Exception generated. \[ \int x^4 \left (d+e x^2\right )^3 (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(x^4*(e*x^2+d)^3*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(479\)

2.3.27.6 Giac [F(-2)]

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

[In]

integrate(x^3*(e*x^2+d)^3*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(480\)

2.3.27.7 Giac [F(-2)]

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

[In]

integrate(x^2*(e*x^2+d)^3*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(481\)

2.3.27.8 Giac [F(-2)]

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

[In]

integrate(x*(e*x^2+d)^3*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(482\)

2.3.27.9 Giac [F(-2)]

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

[In]

integrate((e*x^2+d)^3*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(483\)

2.3.27.10 Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^2\right )^4 (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((e*x^2+d)^4*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(488\)

2.3.27.11 Giac [F(-2)]

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

[In]

integrate(x^3*(a+b*arccosh(c*x))/(e*x^2+d),x, algorithm="giac")

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(490\)

2.3.27.12 Giac [F(-2)]

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

[In]

integrate(x^3*(a+b*arccosh(c*x))/(e*x^2+d)^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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(498\)

2.3.27.13 Giac [F(-2)]

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

[In]

integrate(x^5*(a+b*arccosh(c*x))/(e*x^2+d)^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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(506\)

2.3.27.14 Giac [F(-2)]

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

[In]

integrate(x^3*(a+b*arccosh(c*x))/(e*x^2+d)^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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(507\)

2.3.27.15 Giac [F(-2)]

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

[In]

integrate((e*x^2+d)^3*(a+b*arccosh(c*x))^2,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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(525\)

2.3.27.16 Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^2\right )^2 (a+b \text {arccosh}(c x))^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((e*x^2+d)^2*(a+b*arccosh(c*x))^2,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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(526\)

2.3.27.17 Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^2\right ) (a+b \text {arccosh}(c x))^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((e*x^2+d)*(a+b*arccosh(c*x))^2,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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(527\)

2.3.27.18 Giac [F(-2)]

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

[In]

integrate((e*x^2+d)*(a+b*arccosh(c*x))^(3/2),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/7.2_Inverse_hyperbolic_cosine/7.2.4-f_x-^m-d+e_x^2-^p-a+b_arccosh-c_x-^n.txt

Test file number \(190\)

Integral number in file \(557\)

2.3.27.19 Giac [F(-2)]

Exception generated. \[ \int \frac {\text {arccosh}(c x)}{(d+e x)^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(arccosh(c*x)/(e*x+d)^3,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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(6\)

2.3.27.20 Giac [F(-2)]

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

[In]

integrate(arccosh(c*x)/(e*x+d)^4,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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(7\)

2.3.27.21 Giac [F(-2)]

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

[In]

integrate((e*x+d)^3*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(8\)

2.3.27.22 Giac [F(-2)]

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

[In]

integrate((e*x+d)^2*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(9\)

2.3.27.23 Giac [F(-2)]

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

[In]

integrate((e*x+d)*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(10\)

2.3.27.24 Giac [F(-2)]

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

[In]

integrate(arccosh(c*x)^2/(e*x+d)^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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(12\)

2.3.27.25 Giac [F(-2)]

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

[In]

integrate(arccosh(c*x)^2/(e*x+d)^3,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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(13\)

2.3.27.26 Giac [F(-2)]

Exception generated. \[ \int (d+e x)^3 (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((e*x+d)^3*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(14\)

2.3.27.27 Giac [F(-2)]

Exception generated. \[ \int (d+e x)^2 (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((e*x+d)^2*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(15\)

2.3.27.28 Giac [F(-2)]

Exception generated. \[ \int (d+e x)^3 (a+b \text {arccosh}(c x))^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((e*x+d)^3*(a+b*arccosh(c*x))^2,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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(21\)

2.3.27.29 Giac [F(-2)]

Exception generated. \[ \int (d+e x)^2 (a+b \text {arccosh}(c x))^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((e*x+d)^2*(a+b*arccosh(c*x))^2,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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(22\)

2.3.27.30 Giac [F(-2)]

Exception generated. \[ \int (d+e x) (a+b \text {arccosh}(c x))^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((e*x+d)*(a+b*arccosh(c*x))^2,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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(23\)

2.3.27.31 Giac [F(-2)]

Exception generated. \[ \int (f+g x)^3 \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((g*x+f)^3*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(53\)

2.3.27.32 Giac [F(-2)]

Exception generated. \[ \int (f+g x)^2 \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((g*x+f)^2*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(54\)

2.3.27.33 Giac [F(-2)]

Exception generated. \[ \int (f+g x) \sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((g*x+f)*(a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2),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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(55\)

2.3.27.34 Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))}{f+g x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f),x, algorithm="giac")

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(56\)

2.3.27.35 Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d-c^2 d x^2} (a+b \text {arccosh}(c x))}{(f+g x)^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arccosh(c*x))*(-c^2*d*x^2+d)^(1/2)/(g*x+f)^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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(57\)

2.3.27.36 Giac [F(-2)]

Exception generated. \[ \int (f+g x)^3 \left (d-c^2 d x^2\right )^{3/2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((g*x+f)^3*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(58\)

2.3.27.37 Giac [F(-2)]

Exception generated. \[ \int (f+g x)^2 \left (d-c^2 d x^2\right )^{3/2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((g*x+f)^2*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(59\)

2.3.27.38 Giac [F(-2)]

Exception generated. \[ \int (f+g x) \left (d-c^2 d x^2\right )^{3/2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((g*x+f)*(-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(60\)

2.3.27.39 Giac [F(-2)]

Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^{3/2} (a+b \text {arccosh}(c x))}{f+g x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm="giac")

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(61\)

2.3.27.40 Giac [F(-2)]

Exception generated. \[ \int (f+g x)^3 \left (d-c^2 d x^2\right )^{5/2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((g*x+f)^3*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(62\)

2.3.27.41 Giac [F(-2)]

Exception generated. \[ \int (f+g x)^2 \left (d-c^2 d x^2\right )^{5/2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((g*x+f)^2*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(63\)

2.3.27.42 Giac [F(-2)]

Exception generated. \[ \int (f+g x) \left (d-c^2 d x^2\right )^{5/2} (a+b \text {arccosh}(c x)) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((g*x+f)*(-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(64\)

2.3.27.43 Giac [F(-2)]

Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^{5/2} (a+b \text {arccosh}(c x))}{f+g x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccosh(c*x))/(g*x+f),x, algorithm="giac")

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(65\)

2.3.27.44 Giac [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c x))^n \log \left (h (f+g x)^m\right )}{\sqrt {1-c^2 x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arccosh(c*x))^n*log(h*(g*x+f)^m)/(-c^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:Sign error (%%%{sageVARf^2-2*sageVARf*t_nostep+t_nostep^2,-2%%%}+%%%{-sageVARg^2,0%%%})Sign error (%%%{sage
VARf^2-2*sa

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(78\)

2.3.27.45 Giac [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c x))^2 \log \left (h (f+g x)^m\right )}{\sqrt {1-c^2 x^2}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a+b*arccosh(c*x))^2*log(h*(g*x+f)^m)/(-c^2*x^2+1)^(1/2),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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(79\)

2.3.27.46 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(99\)

2.3.27.47 Giac [F(-2)]

Exception generated. \[ \int \frac {a+b \text {arccosh}(c+d x)}{(c e+d e x)^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(102\)

2.3.27.48 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(110\)

2.3.27.49 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(119\)

2.3.27.50 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(127\)

2.3.27.51 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x+c))/(d*e*x+c*e)^(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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(204\)

2.3.27.52 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x+c))^2/(d*e*x+c*e)^(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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(212\)

2.3.27.53 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x+c))^3/(d*e*x+c*e)^(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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(218\)

2.3.27.54 Giac [F(-2)]

Exception generated. \[ \int \frac {(a+b \text {arccosh}(c+d x))^4}{(c e+d e x)^{5/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arccosh(d*x+c))^4/(d*e*x+c*e)^(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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(224\)

2.3.27.55 Giac [F(-2)]

Exception generated. \[ \int \left (a+b \text {arccosh}\left (1+d x^2\right )\right )^4 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a+b*arccosh(d*x^2+1))^4,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m
operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(240\)

2.3.27.56 Giac [F(-2)]

Exception generated. \[ \int \left (a+b \text {arccosh}\left (1+d x^2\right )\right )^3 \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m
operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(241\)

2.3.27.57 Giac [F(-2)]

Exception generated. \[ \int \left (a+b \text {arccosh}\left (1+d x^2\right )\right )^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m
operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(242\)

2.3.27.58 Giac [F(-2)]

Exception generated. \[ \int \left (a+b \text {arccosh}\left (-1+d x^2\right )\right )^4 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a+b*arccosh(d*x^2-1))^4,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m
operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(247\)

2.3.27.59 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x^2-1))^3,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m
operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(248\)

2.3.27.60 Giac [F(-2)]

Exception generated. \[ \int \left (a+b \text {arccosh}\left (-1+d x^2\right )\right )^2 \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((a+b*arccosh(d*x^2-1))^2,x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:index.cc index_m
operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(249\)

2.3.27.61 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x^2+1))^(5/2),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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(254\)

2.3.27.62 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*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:index.cc index_m operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(255\)

2.3.27.63 Giac [F(-2)]

Exception generated. \[ \int \sqrt {a+b \text {arccosh}\left (1+d x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a+b*arccosh(d*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:index.cc index_m operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(256\)

2.3.27.64 Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b \text {arccosh}\left (1+d x^2\right )}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arccosh(d*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:index.cc index_m operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(257\)

2.3.27.65 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*x^2-1))^(5/2),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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(261\)

2.3.27.66 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*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:index.cc index_m operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(262\)

2.3.27.67 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh(d*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:index.cc index_m operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(263\)

2.3.27.68 Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+b \text {arccosh}\left (-1+d x^2\right )}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a+b*arccosh(d*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:index.cc index_m operator + Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(264\)

2.3.27.69 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^n/(-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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(268\)

2.3.27.70 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^3/(-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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(269\)

2.3.27.71 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^2/(-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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(270\)

2.3.27.72 Giac [F(-2)]

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

[In]

integrate((a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))/(-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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(271\)

2.3.27.73 Giac [F(-2)]

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

[In]

integrate(1/(-c^2*x^2+1)/(a+b*arccosh((-c*x+1)^(1/2)/(c*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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(272\)

2.3.27.74 Giac [F(-2)]

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

[In]

integrate(1/(-c^2*x^2+1)/(a+b*arccosh((-c*x+1)^(1/2)/(c*x+1)^(1/2)))^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/7.2_Inverse_hyperbolic_cosine/7.2.5_Inverse_hyperbolic_cosine_functions.txt

Test file number \(191\)

Integral number in file \(273\)

2.3.27.75 Giac [F(-2)]

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

[In]

integrate(x^5*arctanh(a*x)/(-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/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(364\)

2.3.27.76 Giac [F(-2)]

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

[In]

integrate(x^3*arctanh(a*x)/(-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/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(366\)

2.3.27.77 Giac [F(-2)]

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

[In]

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

Test file number \(194\)

Integral number in file \(373\)

2.3.27.78 Giac [F(-2)]

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

[In]

integrate(x^3*arctanh(a*x)^3/(-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/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(380\)

2.3.27.79 Giac [F(-2)]

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

[In]

integrate(x^3*arctanh(a*x)/(-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/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(388\)

2.3.27.80 Giac [F(-2)]

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

[In]

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

Test file number \(194\)

Integral number in file \(396\)

2.3.27.81 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(404\)

2.3.27.82 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(413\)

2.3.27.83 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(415\)

2.3.27.84 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(418\)

2.3.27.85 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(420\)

2.3.27.86 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(423\)

2.3.27.87 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(425\)

2.3.27.88 Giac [F(-2)]

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

[In]

integrate(x^3*arctanh(a*x)*(-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/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(427\)

2.3.27.89 Giac [F(-2)]

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

[In]

integrate(x*arctanh(a*x)*(-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/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(429\)

2.3.27.90 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(430\)

2.3.27.91 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(431\)

2.3.27.92 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(432\)

2.3.27.93 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(433\)

2.3.27.94 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(434\)

2.3.27.95 Giac [F(-2)]

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

[In]

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

Test file number \(194\)

Integral number in file \(435\)

2.3.27.96 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(436\)

2.3.27.97 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(437\)

2.3.27.98 Giac [F(-2)]

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

[In]

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

Test file number \(194\)

Integral number in file \(439\)

2.3.27.99 Giac [F(-2)]

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

[In]

integrate(x*arctanh(a*x)^2*(-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/7.3.4_u-a+b_arctanh-c_x-^p.txt

Test file number \(194\)

Integral number in file \(441\)

2.3.27.100 Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(194\)

Integral number in file \(442\)