Integrals 3101 to 3200

Giac [F(-2)]

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

[In]

integrate(((a*x-1)/(a*x+1))^(3/2)/(c-c/a^2/x^2)^(7/2),x, algorithm="giac")

[Out]

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

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

Test file number \(199\)

Integral number in file \(879\)

Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(199\)

Integral number in file \(889\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

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

Test file number \(199\)

Integral number in file \(899\)

Giac [F(-2)]

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

[In]

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

Test file number \(199\)

Integral number in file \(901\)

Giac [F(-2)]

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

[In]

integrate(1/((a*x-1)/(a*x+1))^(3/2)*(c-c/a^2/x^2)^(1/2)/x^5,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/7.4_Inverse_hyperbolic_cotangent/7.4.2_Exponentials_of_inverse_hyperbolic_cotangent_functions.txt

Test file number \(199\)

Integral number in file \(903\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

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

Test file number \(199\)

Integral number in file \(908\)

Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(199\)

Integral number in file \(913\)

Giac [F(-2)]

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

[In]

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

[Out]

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

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

Test file number \(199\)

Integral number in file \(931\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{11} \left (a+b \text {sech}^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^11*(a+b*arcsech(c*x))/(-c^4*x^4+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/7.5_Inverse_hyperbolic_secant/7.5.1_u-a+b_arcsech-c_x-^n.txt

Test file number \(200\)

Integral number in file \(186\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^7 \left (a+b \text {sech}^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^7*(a+b*arcsech(c*x))/(-c^4*x^4+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/7.5_Inverse_hyperbolic_secant/7.5.1_u-a+b_arcsech-c_x-^n.txt

Test file number \(200\)

Integral number in file \(187\)

Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/7.5.2_Inverse_hyperbolic_secant_functions.txt

Test file number \(201\)

Integral number in file \(32\)

Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/7.5.2_Inverse_hyperbolic_secant_functions.txt

Test file number \(201\)

Integral number in file \(33\)

Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/7.5.2_Inverse_hyperbolic_secant_functions.txt

Test file number \(201\)

Integral number in file \(34\)

Giac [F(-2)]

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

[In]

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

input file name 7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/7.5.2_Inverse_hyperbolic_secant_functions.txt

Test file number \(201\)

Integral number in file \(46\)

Giac [F(-2)]

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

[In]

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

input file name 7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/7.5.2_Inverse_hyperbolic_secant_functions.txt

Test file number \(201\)

Integral number in file \(48\)

Giac [F(-2)]

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

[In]

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

input file name 7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/7.5.2_Inverse_hyperbolic_secant_functions.txt

Test file number \(201\)

Integral number in file \(50\)

Giac [F(-2)]

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

[In]

integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/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:Limit: Max order reached or unable to make series expansion Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/7.5.2_Inverse_hyperbolic_secant_functions.txt

Test file number \(201\)

Integral number in file \(51\)

Giac [F(-2)]

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

[In]

integrate((1/a/x^2+(1/a/x^2-1)^(1/2)*(1/a/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:Limit: Max order reached or unable to make series expansion Error: Bad Argument Value

input file name 7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/7.5.2_Inverse_hyperbolic_secant_functions.txt

Test file number \(201\)

Integral number in file \(55\)

Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/7.5.2_Inverse_hyperbolic_secant_functions.txt

Test file number \(201\)

Integral number in file \(57\)

Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.5_Inverse_hyperbolic_secant/7.5.2_Inverse_hyperbolic_secant_functions.txt

Test file number \(201\)

Integral number in file \(65\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{11} \left (a+b \text {csch}^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^11*(a+b*arccsch(c*x))/(-c^4*x^4+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/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(174\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^7 \left (a+b \text {csch}^{-1}(c x)\right )}{\sqrt {1-c^4 x^4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^7*(a+b*arccsch(c*x))/(-c^4*x^4+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/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(175\)

Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.2_Inverse_hyperbolic_cosecant_functions.txt

Test file number \(203\)

Integral number in file \(26\)

Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.2_Inverse_hyperbolic_cosecant_functions.txt

Test file number \(203\)

Integral number in file \(32\)

Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.2_Inverse_hyperbolic_cosecant_functions.txt

Test file number \(203\)

Integral number in file \(37\)

Giac [F(-2)]

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

[In]

integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^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/7.6_Inverse_hyperbolic_cosecant/7.6.2_Inverse_hyperbolic_cosecant_functions.txt

Test file number \(203\)

Integral number in file \(48\)

Giac [F(-2)]

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

[In]

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

[Out]

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

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.2_Inverse_hyperbolic_cosecant_functions.txt

Test file number \(203\)

Integral number in file \(53\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\text {csch}^{-1}(c x)} (d x)^m}{1+c^2 x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1/c/x+(1+1/c^2/x^2)^(1/2))*(d*x)^m/(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/7.6_Inverse_hyperbolic_cosecant/7.6.2_Inverse_hyperbolic_cosecant_functions.txt

Test file number \(203\)

Integral number in file \(59\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {-x^2+x^8}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate(1/(x^8-x^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: -atan(i)/3*sign(sageVARx)+1/3*atan(sqrt(
sageVARx^6-1))/sign(sageVARx)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(189\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x^{10} \sqrt {-1+x^6}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x^10/(x^6-1)^(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 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(233\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1+x^6}{x^{10} \sqrt {-1+x^6}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^6+1)/x^10/(x^6-1)^(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 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(234\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1+x^{12}}{x^{16} \sqrt {-1+x^6}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^12+1)/x^16/(x^6-1)^(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 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(342\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^3\right ) \sqrt {-1+x^6}}{x^7 \left (1+x^3\right )} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((x^3-1)*(x^6-1)^(1/2)/x^7/(x^3+1),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 2/3*sign(sageVARx)+2*(1/12*(1/sageVARx)^
3/sign(sageVARx)-1/3/sign(sageVARx))*sqrt(-(1/sageVARx)^6+1)+3/2/sign(sageVARx)*(-atan(i)/3*sign(sageVARx)+1/3
*atan(sqrt(sageVARx^6

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(539\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^3\right ) \sqrt {-1+x^6}}{x^7 \left (-1+x^3\right )} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((x^3+1)*(x^6-1)^(1/2)/x^7/(x^3-1),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: -2/3*sign(sageVARx)+2*(1/12*(1/sageVARx)
^3/sign(sageVARx)+1/3/sign(sageVARx))*sqrt(-(1/sageVARx)^6+1)+3/2/sign(sageVARx)*(-atan(i)/3*sign(sageVARx)+1/
3*atan(sqrt(sageVARx^

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(540\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^3\right ) \sqrt {-1+x^6}}{x^{10}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((x^3-1)*(x^6-1)^(1/2)/x^10,x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 1/9*sign(sageVARx)+2*((1/sageVARx)^3*(1/
18*(1/sageVARx)^3/sign(sageVARx)-1/12/sign(sageVARx))-1/18/sign(sageVARx))*sqrt(-(1/sageVARx)^6+1)+1/2/sign(sa
geVARx)*(-atan(i)/3*s

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(627\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^6\right ) \left (1+x^6\right )}{\sqrt [4]{x-x^4+x^7} \left (1+3 x^6+x^{12}\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((x^6-1)*(x^6+1)/(x^7-x^4+x)^(1/4)/(x^12+3*x^6+1),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Valueintegrate((sageVARx^12+3*sageVARx^6+1)^-1*((sageVARx^7-sageVARx^4+sageVARx
)^(1/4))^-1*(s

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(641\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^3\right ) \sqrt {-1+x^6}}{x^{13} \left (-1+x^3\right )} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((x^3+1)*(x^6-1)^(1/2)/x^13/(x^3-1),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: -4/9*sign(sageVARx)+2*((1/sageVARx)^3*((
1/sageVARx)^3*(1/24*(1/sageVARx)^3/sign(sageVARx)+1/9/sign(sageVARx))+7/48/sign(sageVARx))+2/9/sign(sageVARx))
*sqrt(-(1/sageVARx)^6

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(657\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^3\right ) \sqrt {-1+x^6}}{x^{13}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((x^3-1)*(x^6-1)^(1/2)/x^13,x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: -1/9*sign(sageVARx)+2*((1/sageVARx)^3*((
1/sageVARx)^3*(1/24*(1/sageVARx)^3/sign(sageVARx)-1/18/sign(sageVARx))-1/48/sign(sageVARx))+1/18/sign(sageVARx
))*sqrt(-(1/sageVARx)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(694\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(781\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-x^2+10 x^8}{\sqrt {-1+x^6} \left (-1+4 x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((10*x^8-x^2)/(x^6-1)^(1/2)/(4*x^6-1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:rootof minimal polynomial must be unitary Error: Bad Argument Valuerootof minimal polynomial must be unitar
y Error: Ba

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(851\)

Giac [F(-2)]

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

[In]

integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(x^6+x^3+2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Valueintegrate((sageVARx^6+sageVARx^3+2)^-1*((sageVARx^3+1)^(1/3))^2*(sageVARx^
3-2)/sageVARx^

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(962\)

Giac [F(-2)]

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

[In]

integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(x^6+x^3+2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Valueintegrate((sageVARx^6+sageVARx^3+2)^-1*((sageVARx^3+1)^(1/3))^2*(sageVARx^
3-2)/sageVARx^

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(963\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(969\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(970\)

Giac [F(-2)]

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

[In]

integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(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 Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1025\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt [4]{-1+x^4} \left (1-x^4+x^8\right )}{x^6 \left (1+2 x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^4-1)^(1/4)*(x^8-x^4+1)/x^6/(2*x^8+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1040\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt [4]{-1+x^4} \left (1-x^4+x^8\right )}{x^6 \left (1+2 x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^4-1)^(1/4)*(x^8-x^4+1)/x^6/(2*x^8+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1041\)

Giac [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(2*x^6+x^3+2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Valueintegrate((2*sageVARx^6+sageVARx^3+2)^-1*(sageVARx^3+2)*((sageVARx^3-1)^(1
/3))^2/sageVAR

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1052\)

Giac [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(2*x^6+x^3+2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Valueintegrate((2*sageVARx^6+sageVARx^3+2)^-1*(sageVARx^3+2)*((sageVARx^3-1)^(1
/3))^2/sageVAR

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1053\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1+x}{\sqrt {-7+4 x+14 x^2-12 x^3+x^4}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((1+x)/(x^4-12*x^3+14*x^2+4*x-7)^(1/2),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: (-atan(i)+ln(4*sqrt(2)))*sign(sageVARx-1
)+2*(1/2*atan(1/4*(-sageVARx+sqrt(sageVARx^2-10*sageVARx-7)+1))/sign(sageVARx-1)-1/2*ln(abs(-sageVARx+sqrt(sag
eVARx^2-10*sageVARx-7

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1081\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt [4]{-b x^2+a x^4} \left (b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1092\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt [4]{-b x^2+a x^4} \left (b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1093\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt [4]{-b x^2+a x^4} \left (-b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1105\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt [4]{-b x^2+a x^4} \left (-b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1106\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {-1+x^6} \left (-1+2 x^6\right )^2}{x^4 \left (-1+4 x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^6-1)^(1/2)*(2*x^6-1)^2/x^4/(4*x^6-1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:rootof minimal polynomial must be unitary Error: Bad Argument Valuerootof minimal polynomial must be unitar
y Error: Ba

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1145\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt [4]{b x^2+a x^4} \left (-2 b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*x^4+b*x^2)^(1/4)/(a*x^8-2*b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1149\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt [4]{b x^2+a x^4} \left (-2 b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*x^4+b*x^2)^(1/4)/(a*x^8-2*b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1150\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^4\right ) \sqrt {1+x^4}}{1+x^2+3 x^4+x^6+x^8} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((x^4-1)*(x^4+1)^(1/2)/(x^8+x^6+3*x^4+x^2+1),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:  ***   Warning:
increasing stack size to 2048000.  ***   Warning: increasing stack size to 2048000.  ***   Warning: increasing
 stack size to

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1256\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-1+x^8}{\sqrt [4]{-x^2+x^4} \left (1+x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^8-1)/(x^4-x^2)^(1/4)/(x^8+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueD
one

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1309\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-1+x^8}{\sqrt [4]{-x^2+x^4} \left (1+x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^8-1)/(x^4-x^2)^(1/4)/(x^8+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueD
one

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1310\)

Giac [F(-2)]

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

[In]

integrate(1/x^6/(x^3+1)/(x^3+x^2)^(1/3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1413\)

Giac [F(-2)]

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

[In]

integrate(1/x^6/(x^3+1)/(x^3+x^2)^(1/3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1414\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueD
one

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1432\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueD
one

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1433\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-2+x^2\right ) \sqrt [3]{x+x^3}}{x^2 \left (4-2 x^2+x^4\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument Value6*((1/sageVARx)^2+1)^
(1/3)/8+integr

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1553\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-2+x^2\right ) \sqrt [3]{x+x^3}}{x^2 \left (4-2 x^2+x^4\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument Value6*((1/sageVARx)^2+1)^
(1/3)/8+integr

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1554\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (4+6 x^3+3 x^6\right )}{x^6 \left (8+6 x^3+3 x^6\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((x^3+1)^(2/3)*(3*x^6+6*x^3+4)/x^6/(3*x^6+6*x^3+8),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Valueintegrate((3*sageVARx^6+6*sageVARx^3+8)^-1*(3*sageVARx^6+6*sageVARx^3+4)*(
(sageVARx^3+1)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1674\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (4+6 x^3+3 x^6\right )}{x^6 \left (8+6 x^3+3 x^6\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((x^3+1)^(2/3)*(3*x^6+6*x^3+4)/x^6/(3*x^6+6*x^3+8),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Valueintegrate((3*sageVARx^6+6*sageVARx^3+8)^-1*(3*sageVARx^6+6*sageVARx^3+4)*(
(sageVARx^3+1)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1675\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4}{\sqrt [4]{x^2+x^4} \left (1+x^4+x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^4/(x^4+x^2)^(1/4)/(x^8+x^4+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:proot error [1,0,0,0,1,0,0,0,1]proot error [1,0,0,0,-1,0,0,0,1]proot error [1,0,-10,0,1]proot error [1,0,-1
0,0,1]proot

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1692\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4}{\sqrt [4]{x^2+x^4} \left (1+x^4+x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^4/(x^4+x^2)^(1/4)/(x^8+x^4+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:proot error [1,0,0,0,1,0,0,0,1]proot error [1,0,0,0,-1,0,0,0,1]proot error [1,0,-10,0,1]proot error [1,0,-1
0,0,1]proot

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1693\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1711\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1764\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt [3]{-x+x^3} \left (8-10 x^2+x^4\right )}{x^4 \left (4-2 x^2+x^4\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((x^3-x)^(1/3)*(x^4-10*x^2+8)/x^4/(x^4-2*x^2+4),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Value(3072*(-(1/sageVARx)^2+1)^(1/3)*(-(1/sageVARx)^2+1)+9216*(-(1/sageVARx)^2+
1)^(1/3))/4096

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1778\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt [3]{-x+x^3} \left (8-10 x^2+x^4\right )}{x^4 \left (4-2 x^2+x^4\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((x^3-x)^(1/3)*(x^4-10*x^2+8)/x^4/(x^4-2*x^2+4),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Value(3072*(-(1/sageVARx)^2+1)^(1/3)*(-(1/sageVARx)^2+1)+9216*(-(1/sageVARx)^2+
1)^(1/3))/4096

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1779\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^4\right ) \sqrt [4]{-x^2+x^4}}{1+x^4+x^8} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^4+1)*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:proot error [1,0,0,0,1,0,0,0,1]proot error [1,0,0,0,-1,0,0,0,1]proot error [1,0,-10,0,1]proot error [1,0,-1
0,0,1]proot

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1793\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^4\right ) \sqrt [4]{-x^2+x^4}}{1+x^4+x^8} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^4+1)*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:proot error [1,0,0,0,1,0,0,0,1]proot error [1,0,0,0,-1,0,0,0,1]proot error [1,0,-10,0,1]proot error [1,0,-1
0,0,1]proot

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1794\)

Giac [F(-2)]

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

[In]

integrate((1+k^(3/2)*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(-1+k^(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 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1824\)

Giac [F(-2)]

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

[In]

integrate((-1+k^(3/2)*x^3)/((-x^2+1)*(-k^2*x^2+1))^(1/2)/(1+k^(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 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1837\)

Giac [F(-2)]

Exception generated. \[ \int \frac {2+x^4}{\sqrt [4]{x^2+x^4} \left (-1-x^4+2 x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^4+2)/(x^4+x^2)^(1/4)/(2*x^8-x^4-1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1851\)

Giac [F(-2)]

Exception generated. \[ \int \frac {2+x^4}{\sqrt [4]{x^2+x^4} \left (-1-x^4+2 x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^4+2)/(x^4+x^2)^(1/4)/(2*x^8-x^4-1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1852\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueD
one

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1882\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueD
one

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1883\)

Giac [F(-2)]

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

[In]

integrate((x^6-1)*(x^6+1)^(2/3)/x^3/(2*x^6-x^3+2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Valueintegrate((2*sageVARx^6-sageVARx^3+2)^-1*((sageVARx^6+1)^(1/3))^2*(sageVAR
x^6-1)/sageVAR

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1919\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-b+a x^8}{\sqrt [4]{-b x^2+a x^4} \left (b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^8-b)/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1967\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-b+a x^8}{\sqrt [4]{-b x^2+a x^4} \left (b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^8-b)/(a*x^4-b*x^2)^(1/4)/(a*x^8+b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1968\)

Giac [F(-2)]

Exception generated. \[ \int \frac {b+a x^8}{\sqrt [4]{-b x^2+a x^4} \left (-b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^8+b)/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1982\)

Giac [F(-2)]

Exception generated. \[ \int \frac {b+a x^8}{\sqrt [4]{-b x^2+a x^4} \left (-b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^8+b)/(a*x^4-b*x^2)^(1/4)/(a*x^8-b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1983\)

Giac [F(-2)]

Exception generated. \[ \int \frac {2+x+x^2}{\left (3+2 x+x^2\right ) \sqrt [3]{x^2+x^3}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Value-ln(abs((1/sageVARx+1)^(1/3)-1))+1/2*ln(((1/sageVARx+1)^(1/3))^2+(1/sageVA
Rx+1)^(1/3)+1)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2047\)

Giac [F(-2)]

Exception generated. \[ \int \frac {2+x+x^2}{\left (3+2 x+x^2\right ) \sqrt [3]{x^2+x^3}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Value-ln(abs((1/sageVARx+1)^(1/3)-1))+1/2*ln(((1/sageVARx+1)^(1/3))^2+(1/sageVA
Rx+1)^(1/3)+1)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2048\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueI
nvalid _EXT

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2152\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueI
nvalid _EXT

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2153\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x (-4 a+3 x)}{\sqrt [3]{x^2 (-a+x)} \left (a-x+d x^4\right )} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

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

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 1/2*(-1/sageVARd)^(1/3)*ln((sqrt(3)*(abs
(sageVARd)^(1/3))^2*sqrt(3)/2*(-sageVARa/sageVARx+1)^(1/3)*(-sageVARa/sageVARx+1)-sqrt(3)*(abs(sageVARd)^(1/3)
)^2*sqrt(3)/2*(-sageV

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2162\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError i
ndex.cc ind

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2171\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^3\right ) \sqrt {-2-x^3+x^6}}{x^4 \left (-1-2 x^3+x^6\right )} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate((x^3+1)*(x^6-x^3-2)^(1/2)/x^4/(x^6-2*x^3-1),x, algorithm="giac")

[Out]

Exception raised: AttributeError >> type

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2203\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {-\frac {a}{b^2}+\frac {a^2 x^2}{b^2}} \sqrt {a x^2+b x \sqrt {-\frac {a}{b^2}+\frac {a^2 x^2}{b^2}}} \, dx=\text {Exception raised: TypeError} \]

[In]

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

[Out]

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

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2210\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument ValueError i
ndex.cc ind

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2268\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2338\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2339\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \sqrt [4]{-x^2+x^4}}{1+x^4+x^8} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^4*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:proot error [1,0,0,0,1,0,0,0,1]proot error [1,0,0,0,-1,0,0,0,1]proot error [1,0,-10,0,1]proot error [1,0,-1
0,0,1]proot

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2371\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \sqrt [4]{-x^2+x^4}}{1+x^4+x^8} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^4*(x^4-x^2)^(1/4)/(x^8+x^4+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:proot error [1,0,0,0,1,0,0,0,1]proot error [1,0,0,0,-1,0,0,0,1]proot error [1,0,-10,0,1]proot error [1,0,-1
0,0,1]proot

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2372\)