Integrals 301 to 400

Giac [F(-2)]

Exception generated. \[ \int x^{-1-n} \left (a+b x^n\right )^p \left (c+d x^n\right )^q \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^(-1-n)*(a+b*x^n)^p*(c+d*x^n)^q,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[0,0,4,3,8,2,3,3,9,3]%%%}+%%%{6,[0,0,4,3,7,3,3,3,8,4]%% 
%}+%%%{-1
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(574\)

Giac [F(-2)]

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

integrate(x^(-1-2*n)*(a+b*x^n)^p*(c+d*x^n)^q,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[0,0,4,3,8,2,3,3,9,3]%%%}+%%%{6,[0,0,4,3,7,3,3,3,8,4]%% 
%}+%%%{-1
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(575\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(589\)

Giac [F(-2)]

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

integrate((a+b*x^n)^p*(c+d*x^n)^q*(e+f*x^n)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[1,0,5,3,10,3,4,4,10,3,0,2]%%%}+%%%{-4,[1,0,5,3,10,3,4, 
3,10,3,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/58_1.1.3.5

Test file number \(58\)

Integral number in file \(7\)

Giac [F(-2)]

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

integrate((a+b/x)^p*(c+d/x)^q/(e+f/x),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,1,0]%%%} / %%%{1,[0,0,0,1]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/58_1.1.3.5

Test file number \(58\)

Integral number in file \(15\)

Giac [F(-2)]

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

integrate((a+b/x^2)^p*(c+d/x^2)^q/(e+f/x^2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,1,0]%%%} / %%%{1,[0,0,0,1]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/58_1.1.3.5

Test file number \(58\)

Integral number in file \(16\)

Giac [F(-2)]

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

integrate((a+b/x^3)^p*(c+d/x^3)^q/(e+f/x^3),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,1,0]%%%} / %%%{1,[0,0,0,1]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/58_1.1.3.5

Test file number \(58\)

Integral number in file \(17\)

Giac [F(-2)]

Exception generated. \[ \int (e x)^m \left (a+b x^n\right )^p \left (A+B x^n\right ) \left (c+d x^n\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x)^m*(a+b*x^n)^p*(A+B*x^n)*(c+d*x^n),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[1,0,4,3,0,1,3,3,1,1,0,0]%%%}+%%%{-3,[1,0,4,3,0,1,2,3,1 
,1,0,0]%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number \(59\)

Integral number in file \(59\)

Giac [F(-2)]

Exception generated. \[ \int (g x)^m \left (a+b x^n\right )^p \left (c+d x^n\right )^q \left (e+f x^n\right )^2 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((g*x)^m*(a+b*x^n)^p*(c+d*x^n)^q*(e+f*x^n)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[1,0,5,3,0,10,3,4,4,10,3,0,2]%%%}+%%%{-4,[1,0,5,3,0,10, 
3,4,3,10,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number \(59\)

Integral number in file \(85\)

Giac [F(-2)]

Exception generated. \[ \int \left (a+b x^n\right )^p \left (A+B x^n\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*x^n)^p*(A+B*x^n),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,0,2,2,1,2,1,0,1]%%%}+%%%{2,[0,0,2,2,1,1,1,0,1]%%%}+%% 
%{1,[0,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.7/63_1.1.3.7_c

Test file number \(63\)

Integral number in file \(68\)

Giac [F(-2)]

Exception generated. \[ \int \left (a+b x^n\right )^p \left (A+B x^n+C x^{2 n}\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*x^n)^p*(A+B*x^n+C*x^(2*n)),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[1,0,4,3,1,3,3,1,0,0]%%%}+%%%{-3,[1,0,4,3,1,2,3,1,0,0]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.7/63_1.1.3.7_c

Test file number \(63\)

Integral number in file \(69\)

Giac [F(-2)]

Exception generated. \[ \int \left (a+b x^n\right )^p \left (A+B x^n+C x^{2 n}+D x^{3 n}\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*x^n)^p*(A+B*x^n+C*x^(2*n)+D*x^(3*n)),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[2,0,6,4,2,4,4,1,0,0,0]%%%}+%%%{4,[2,0,6,4,2,3,4,1,0,0,0 
]%%%}+%%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.7/63_1.1.3.7_c

Test file number \(63\)

Integral number in file \(70\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.8/66_1.1.3.8_c

Test file number \(66\)

Integral number in file \(5\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.8/66_1.1.3.8_c

Test file number \(66\)

Integral number in file \(6\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.8/66_1.1.3.8_c

Test file number \(66\)

Integral number in file \(7\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.8/66_1.1.3.8_c

Test file number \(66\)

Integral number in file \(18\)

Giac [F(-2)]

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

integrate((c*x)^m*(a+b*x^n)^p*(d+e*x^n+f*x^(2*n)+g*x^(3*n)),x, algorithm=" 
giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[2,0,6,4,0,2,4,4,1,0,0,0]%%%}+%%%{4,[2,0,6,4,0,2,3,4,1,0 
,0,0]%%%}
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.8/66_1.1.3.8_c

Test file number \(66\)

Integral number in file \(32\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(44\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(79\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(87\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(300\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(301\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {2+e x} \sqrt [4]{12-3 e^2 x^2} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(304\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(306\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{7/2}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(308\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{11/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-3*e^2*x^2+12)^(1/4)/(e*x+2)^(11/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(310\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(2+e x)^{5/2}}{\sqrt [4]{12-3 e^2 x^2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x+2)^(5/2)/(-3*e^2*x^2+12)^(1/4),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(311\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{(2+e x)^{3/2} \sqrt [4]{12-3 e^2 x^2}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(315\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{(2+e x)^{7/2} \sqrt [4]{12-3 e^2 x^2}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/70_1.2.1.1

Test file number \(70\)

Integral number in file \(317\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:int()  Bad Argument Typesym2poly/r2 
sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument 
 ValueDon
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/71_1.2.1.2

Test file number \(71\)

Integral number in file \(218\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/71_1.2.1.2

Test file number \(71\)

Integral number in file \(237\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/71_1.2.1.2

Test file number \(71\)

Integral number in file \(238\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/71_1.2.1.2

Test file number \(71\)

Integral number in file \(246\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/71_1.2.1.2

Test file number \(71\)

Integral number in file \(257\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/71_1.2.1.2

Test file number \(71\)

Integral number in file \(274\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(79\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c^2-d^2 x^2}}{(c+d x)^2} \, dx=\text {Exception raised: NotImplementedError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(131\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(153\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(154\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(155\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(160\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \sqrt {1-a^2 x^2}}{(1-a x)^5} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^4*(-a^2*x^2+1)^(1/2)/(-a*x+1)^5,x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(161\)

Giac [F(-2)]

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

integrate(x^3*(-a^2*x^2+1)^(1/2)/(-a*x+1)^5,x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(162\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(163\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(167\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(228\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: abs( 
sageVARd)*(-2*sign((sageVARd*sageVARx+sageVARc)^-1)*sign(sageVARd)*atan(sq 
rt(2*sageVARc*sageVARd*(sageVARd*sageVARx+sageVARc)^-1/sageVARd-1))+2*sign 
((sageVARd*sageVARx
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(229\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(253\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(299\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(300\)

Giac [F(-2)]

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

integrate((-d^2*x^2+c^2)^(5/2)/x^3/(d*x+c)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(301\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (c^2-d^2 x^2\right )^{5/2}}{x^4 (c+d x)^2} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate((-d^2*x^2+c^2)^(5/2)/x^4/(d*x+c)^2,x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: abs( 
sageVARd)*(1/3*(12*sageVARd^2*sqrt(2*sageVARc*sageVARd*(sageVARd*sageVARx+ 
sageVARc)^-1/sageVARd-1)*(2*sageVARc*sageVARd*(sageVARd*sageVARx+sageVARc) 
^-1/sageVARd-1)^2*s
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(302\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^2}{(c+d x)^2 \sqrt {c^2-d^2 x^2}} \, dx=\text {Exception raised: NotImplementedError} \] Input:

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/ab 
s(sageVARd)*(-(-6*atan(i)+5*i)/3/sageVARd^2*sign((sageVARd*sageVARx+sageVA 
Rc)^-1)*sign(sageVARd)+2*sageVARc*(1/64*(-16/3*sqrt(2*sageVARc*sageVARd*(s 
ageVARd*sageVARx+sa
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(360\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(375\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(380\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(382\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(383\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(384\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(385\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(386\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(391\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(392\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(393\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(394\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(395\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/ab 
s(sageVARd)*(1/32768*(-20480/3*sageVARd^16*sqrt(2*sageVARc*sageVARd*(sageV 
ARd*sageVARx+sageVARc)^-1/sageVARd-1)*(2*sageVARc*sageVARd*(sageVARd*sageV 
ARx+sageVARc)^-1/sa
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(412\)

Giac [F(-2)]

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

integrate(x^5/(a*x+1)^2/(-a^2*x^2+1)^(3/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(431\)

Giac [F(-2)]

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

integrate(x^2*(d*x+c)^3/(-b*d^2*x^2+b*c^2)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(432\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^6}{(c+d x)^2 \left (c^2-d^2 x^2\right )^{5/2}} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate(x^6/(d*x+c)^2/(-d^2*x^2+c^2)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/ab 
s(sageVARd)*(1/34359738368*(1073741824/7*sageVARd^36*sqrt(2*sageVARc*sageV 
ARd*(sageVARd*sageVARx+sageVARc)^-1/sageVARd-1)*(2*sageVARc*sageVARd*(sage 
VARd*sageVARx+sageV
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(446\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^8}{(c+d x)^2 \left (c^2-d^2 x^2\right )^{7/2}} \, dx=\text {Exception raised: NotImplementedError} \] Input:

integrate(x^8/(d*x+c)^2/(-d^2*x^2+c^2)^(7/2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/ab 
s(sageVARd)*(1/9223372036854775808*(72057594037927936/9*sageVARd^64*sqrt(2 
*sageVARc*sageVARd*(sageVARd*sageVARx+sageVARc)^-1/sageVARd-1)*(2*sageVARc 
*sageVARd*(sageVARd
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(497\)

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(640\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(897\)

Giac [F(-2)]

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

integrate((e*x)^(5/2)*(-d^2*x^2+c^2)^(3/2)/(d*x+c)^(5/2),x, algorithm="gia 
c")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(975\)

Giac [F(-2)]

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

integrate((e*x)^(3/2)*(-d^2*x^2+c^2)^(3/2)/(d*x+c)^(5/2),x, algorithm="gia 
c")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(976\)

Giac [F(-2)]

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

integrate((e*x)^(1/2)*(-d^2*x^2+c^2)^(3/2)/(d*x+c)^(5/2),x, algorithm="gia 
c")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(977\)

Giac [F(-2)]

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

integrate((-d^2*x^2+c^2)^(3/2)/(e*x)^(3/2)/(d*x+c)^(5/2),x, algorithm="gia 
c")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(979\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1011\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1012\)

Giac [F(-2)]

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

integrate((e*x)^(7/2)*(d*x+c)^(1/2)/(-d^2*x^2+c^2)^(3/2),x, algorithm="gia 
c")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1033\)

Giac [F(-2)]

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

integrate((e*x)^(5/2)*(d*x+c)^(1/2)/(-d^2*x^2+c^2)^(3/2),x, algorithm="gia 
c")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1034\)

Giac [F(-2)]

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

integrate((e*x)^(3/2)*(d*x+c)^(1/2)/(-d^2*x^2+c^2)^(3/2),x, algorithm="gia 
c")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1035\)

Giac [F(-2)]

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

integrate((e*x)^m/(d*x+c)^2/(-d^2*x^2+c^2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,4,0,0,0]%%%}+%%%{3,[0,1,2,0,0,0]%%%}+%%%{3,[0,1,0,0 
,0,0]%%%}
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1187\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5 \left (c^2-d^2 x^2\right )^p}{(c+d x)^2} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[0,5,1,0]%%%} / %%%{1,[0,0,0,5]%%%} Error: Bad Argument 
 Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1237\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \left (c^2-d^2 x^2\right )^p}{(c+d x)^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^4*(-d^2*x^2+c^2)^p/(d*x+c)^2,x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,4,1,0]%%%} / %%%{1,[0,0,0,4]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1238\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[0,3,1,0]%%%} / %%%{1,[0,0,0,3]%%%} Error: Bad Argument 
 Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1239\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,2,1,0]%%%} / %%%{1,[0,0,0,2]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1240\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[0,1,0]%%%} / %%%{1,[0,0,1]%%%} Error: Bad Argument Val 
ue
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1243\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,2,0]%%%} / %%%{1,[0,0,0,2]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1244\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[0,1,3,0]%%%} / %%%{1,[0,0,0,3]%%%} Error: Bad Argument 
 Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1245\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (c^2-d^2 x^2\right )^p}{x^4 (c+d x)^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((-d^2*x^2+c^2)^p/x^4/(d*x+c)^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{1,[0,1,4,0]%%%} / %%%{1,[0,0,0,4]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1246\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (c^2-d^2 x^2\right )^p}{x^5 (c+d x)^2} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[0,1,5,0]%%%} / %%%{1,[0,0,0,5]%%%} Error: Bad Argument 
 Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/72_1.2.1.4

Test file number \(72\)

Integral number in file \(1247\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number \(73\)

Integral number in file \(853\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number \(73\)

Integral number in file \(854\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number \(73\)

Integral number in file \(855\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number \(73\)

Integral number in file \(860\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number \(73\)

Integral number in file \(861\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[1,0]%%%},[0,2,0]%%%}+%%%{%%%{1,[0,1]%%%},[0,0,2]%%% 
} / %%%{%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number \(73\)

Integral number in file \(862\)

Giac [F(-2)]

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

integrate((e*x)^(3/2)*(d*x+c)^(5/2)/(b*x^2+a),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number \(73\)

Integral number in file \(867\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number \(73\)

Integral number in file \(868\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[1,0]%%%},[0,2,0]%%%}+%%%{%%%{1,[0,1]%%%},[0,0,2]%%% 
} / %%%{%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.4_Linear_quadratic_binomial/73_1.2.1.5

Test file number \(73\)

Integral number in file \(869\)