Integrals 501 to 600

Giac [F(-2)]

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

integrate((a+b/(d*x^2+c))^(3/2)/x,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/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(179\)

Giac [F(-2)]

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

integrate(1/x/(a+b/(d*x^2+c))^(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/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(194\)

Giac [F(-2)]

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

integrate(x/(a+b/(d*x^2+c))^(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/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(204\)

Giac [F(-2)]

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

integrate(1/x/(a+b/(d*x^2+c))^(3/2),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/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(205\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding 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/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(213\)

Giac [F(-2)]

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

integrate(x^5/(a+b/(d*x^2+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,[1,1]%%%}]%%},[0,1]%%%}+%%%{%%%{1,[0,1 
]%%%},[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(234\)

Giac [F(-2)]

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

integrate(x^3/(a+b/(d*x^2+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,[1,1]%%%}]%%},[0,1]%%%}+%%%{%%%{1,[0,1 
]%%%},[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(235\)

Giac [F(-2)]

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

integrate(x/(a+b/(d*x^2+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,[1,1]%%%}]%%},[0,1]%%%}+%%%{%%%{1,[0,1 
]%%%},[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(236\)

Giac [F(-2)]

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

integrate(1/x/(a+b/(d*x^2+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,[1,1]%%%}]%%},[0,1]%%%}+%%%{%%%{1,[0,1 
]%%%},[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(237\)

Giac [F(-2)]

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

integrate(1/x^3/(a+b/(d*x^2+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,[1,1]%%%}]%%},[0,1]%%%}+%%%{%%%{1,[0,1 
]%%%},[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(238\)

Giac [F(-2)]

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

integrate(x^6/(a+b/(d*x^2+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,[1,1]%%%}]%%},[0,1]%%%}+%%%{%%%{1,[0,1 
]%%%},[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(239\)

Giac [F(-2)]

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

integrate(x^4/(a+b/(d*x^2+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,[1,1]%%%}]%%},[0,1]%%%}+%%%{%%%{1,[0,1 
]%%%},[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(240\)

Giac [F(-2)]

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

integrate(x^2/(a+b/(d*x^2+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,[1,1]%%%}]%%},[0,1]%%%}+%%%{%%%{1,[0,1 
]%%%},[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(241\)

Giac [F(-2)]

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

integrate(1/(a+b/(d*x^2+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,[1,1]%%%}]%%},[0,1]%%%}+%%%{%%%{1,[0,1 
]%%%},[0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(242\)

Giac [F(-2)]

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

integrate(1/x^2/(a+b/(d*x^2+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,[1,1]%%%}]%%},[0,1]%%%}+%%%{%%%{1,[0,1 
]%%%},[0,
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(243\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Recursive assumption sageVARc>=(-` 
u`*sageVARd) ignoredRecursive assumption sageVARc>=(-` u`*sageVARd) ignore 
dRecursiv
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(285\)

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Recursive assumption sageVARc>=(-` 
u`*sageVARd) ignoredRecursive assumption sageVARc>=(-` u`*sageVARd) ignore 
dRecursiv
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(286\)

Giac [F(-2)]

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

integrate(1/(c+d*(b*x^2+a)^(1/2))^(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/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(287\)

Giac [F(-2)]

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

integrate(1/x^2/(c+d*(b*x^2+a)^(1/2))^(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/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(288\)

Giac [F(-2)]

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

integrate(1/x^4/(c+d*(b*x^2+a)^(1/2))^(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/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(289\)

Giac [F(-2)]

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

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding 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/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(10\)

Giac [F(-2)]

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

integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x,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/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(45\)

Giac [F(-2)]

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

integrate(x^5*(e*(b*x^2+a)/(d*x^2+c))^(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%%%{%%%{2,[0,5,0]%%%},[2,0,0,0]%%%}+%%%{%%{[%%%{-4,[0,4,0]%%%} 
,0]:[1,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(55\)

Giac [F(-2)]

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

integrate(x^3*(e*(b*x^2+a)/(d*x^2+c))^(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%%%{%%%{2,[0,4,0]%%%},[2,0,0,0]%%%}+%%%{%%{[%%%{-4,[0,3,0]%%%} 
,0]:[1,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(56\)

Giac [F(-2)]

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

integrate(x*(e*(b*x^2+a)/(d*x^2+c))^(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%%%{%%%{2,[0,3,0]%%%},[2,0,0,0]%%%}+%%%{%%{[%%%{-4,[0,2,0]%%%} 
,0]:[1,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(57\)

Giac [F(-2)]

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

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x,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/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(58\)

Giac [F(-2)]

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

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/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%%%{%%%{2,[0,1,0]%%%},[6,0,0]%%%}+%%%{%%{[-4,0]:[1,0,%%%{-1,[1 
,1,1]%%%}
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(59\)

Giac [F(-2)]

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

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^5,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%%%{%%%{2,[4,1,4]%%%},[2,7,0]%%%}+%%%{%%%{-8,[3,2,4]%%%},[2,6, 
1]%%%}+%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(60\)

Giac [F(-2)]

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

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^7,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%%%{%%%{2,[5,1,5]%%%},[2,9,0]%%%}+%%%{%%%{-10,[4,2,5]%%%},[2,8 
,1]%%%}+%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(61\)

Giac [F(-2)]

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

integrate(1/x/(e*(b*x^2+a)/(d*x^2+c))^(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/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(78\)

Giac [F(-2)]

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

integrate(x^5/(e*(b*x^2+a)/(d*x^2+c))^(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%%%{%%%{2,[1,0,0]%%%},[2,1,0]%%%}+%%%{%%{[-4,0]:[1,0,%%%{-1,[1 
,1,1]%%%}
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(86\)

Giac [F(-2)]

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

integrate(x^3/(e*(b*x^2+a)/(d*x^2+c))^(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%%%{%%%{2,[1,0,0]%%%},[2,1,0]%%%}+%%%{%%{[-4,0]:[1,0,%%%{-1,[1 
,1,1]%%%}
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(87\)

Giac [F(-2)]

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

integrate(x/(e*(b*x^2+a)/(d*x^2+c))^(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%%%{%%%{2,[1,0,0]%%%},[2,1,0]%%%}+%%%{%%{[-4,0]:[1,0,%%%{-1,[1 
,1,1]%%%}
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(88\)

Giac [F(-2)]

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

integrate(1/x/(e*(b*x^2+a)/(d*x^2+c))^(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%%%{%%%{2,[1,2,2]%%%},[2,1,3,0]%%%}+%%%{%%%{-4,[2,1,2]%%%},[2, 
1,2,1]%%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(89\)

Giac [F(-2)]

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

integrate(1/x^3/(e*(b*x^2+a)/(d*x^2+c))^(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%%%{%%%{2,[1,0,0]%%%},[6,1,0,0]%%%}+%%%{%%{[-4,0]:[1,0,%%%{-1, 
[1,1,1]%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(90\)

Giac [F(-2)]

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

integrate(1/x^5/(e*(b*x^2+a)/(d*x^2+c))^(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%%%{%%%{2,[1,4,4]%%%},[2,1,7,0]%%%}+%%%{%%%{-8,[2,3,4]%%%},[2, 
1,6,1]%%%
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.5_Nested_general_binomial/78_1.1.5.3

Test file number \(78\)

Integral number in file \(91\)

Giac [F(-2)]

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

integrate((c*x^2+b*x)^(1/2)/(e*x+d),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/1.1.6_Improper_linear_binomial/81_1.1.6.3

Test file number \(81\)

Integral number in file \(133\)

Giac [F(-2)]

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

integrate((c*x^2+b*x)^(1/2)/(e*x+d)^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/1.1.6_Improper_linear_binomial/81_1.1.6.3

Test file number \(81\)

Integral number in file \(134\)

Giac [F(-2)]

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

integrate((c*x^2+b*x)^(3/2)/(e*x+d),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/1.1.6_Improper_linear_binomial/81_1.1.6.3

Test file number \(81\)

Integral number in file \(143\)

Giac [F(-2)]

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

integrate((c*x^2+b*x)^(5/2)/(e*x+d),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/1.1.6_Improper_linear_binomial/81_1.1.6.3

Test file number \(81\)

Integral number in file \(152\)

Giac [F(-2)]

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

integrate(1/(e*x+d)^2/(c*x^2+b*x)^(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/1.1.6_Improper_linear_binomial/81_1.1.6.3

Test file number \(81\)

Integral number in file \(162\)

Giac [F(-2)]

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

integrate(x^2*(b*x^2+a*x)^(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(30\)

Giac [F(-2)]

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

integrate(x*(b*x^2+a*x)^(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(31\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(32\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(1/2)/x/(d*x+c),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(33\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(40\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 2859 
40382 icas_eval sage2285.953 NTL factor begin285.953 NTL factor end285.953 
 NTL factor begin285.953 NTL factor endPsr 9.14286, Mod 191.109, Heu 11764 
.9, Min9.14286GCD d
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(44\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(1/2)/x^2/(d*x+c)^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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(50\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(1/2)/x^3/(d*x+c)^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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(51\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(1/2)/x/(d*x+c),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(52\)

Giac [F(-2)]

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

integrate((x*(b*x+a))^(1/2)/x/(d*x+c),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(53\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(1/2)/(d*x^2+c*x),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(54\)

Giac [F(-2)]

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

integrate((x*(b*x+a))^(1/2)/(d*x^2+c*x),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(55\)

Giac [F(-2)]

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

integrate(x*(b*x^2+a*x)^(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(92\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(93\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(3/2)/x/(d*x+c),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(94\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(95\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(3/2)/x^3/(d*x+c),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(96\)

Giac [F(-2)]

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

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(104\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 2796 
51166 icas_eval sage2279.664 NTL factor begin279.665 NTL factor end279.665 
 NTL factor begin279.665 NTL factor endPsr 9.14286, Mod 191.109, Heu 11764 
.9, Min9.14286GCD d
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(107\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(3/2)/x^3/(d*x+c)^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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(113\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(3/2)/x^4/(d*x+c)^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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(114\)

Giac [F(-2)]

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

integrate(x*(b*x^2+a*x)^(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(115\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(116\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(5/2)/x/(d*x+c),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(117\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(5/2)/x^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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(118\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(5/2)/x^3/(d*x+c),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(119\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(5/2)/x^4/(d*x+c),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(120\)

Giac [F(-2)]

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

integrate((b*x^2+a*x)^(5/2)/x^5/(d*x+c),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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(121\)

Giac [F(-2)]

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

integrate(x^3/(d*x+c)/(b*x^2+a*x)^(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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(143\)

Giac [F(-2)]

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

integrate(x^2/(d*x+c)/(b*x^2+a*x)^(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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(144\)

Giac [F(-2)]

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

integrate(x/(d*x+c)/(b*x^2+a*x)^(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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(145\)

Giac [F(-2)]

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

integrate(x^2/(d*x+c)^2/(b*x^2+a*x)^(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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(151\)

Giac [F(-2)]

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

integrate(1/(d*x+c)^2/(b*x^2+a*x)^(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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(153\)

Giac [F(-2)]

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

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1603 
70139 icas_eval sage2Psr 0, Mod 3.16228, Heu 6.4, Min0GCD dim 3 degree 1 p 
srgcdop 0 heuop 6.4 modgcdop 8,125// Using PSR gcd 160.382 NTL factor begi 
n160.382 NTL factor
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(156\)

Giac [F(-2)]

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

integrate(1/(b*x^2+a*x)^(1/2)/(d^2*x^4+2*c*d*x^3+c^2*x^2),x, algorithm="gi 
ac")
 

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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(159\)

Giac [F(-2)]

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

integrate(1/(x*(b*x+a))^(1/2)/(d^2*x^4+2*c*d*x^3+c^2*x^2),x, algorithm="gi 
ac")
 

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/1.1.6_Improper_linear_binomial/83_1.1.6.5

Test file number \(83\)

Integral number in file \(160\)

Giac [F(-2)]

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

integrate(x^2*(B*x+A)*(b*x^2+a*x)^(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:Error: Bad Argument Type
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/85_1.1.6.7

Test file number \(85\)

Integral number in file \(1\)

Giac [F(-2)]

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

integrate(x*(B*x+A)*(b*x^2+a*x)^(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/85_1.1.6.7

Test file number \(85\)

Integral number in file \(2\)

Giac [F(-2)]

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

integrate((B*x+A)*(b*x^2+a*x)^(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/85_1.1.6.7

Test file number \(85\)

Integral number in file \(3\)

Giac [F(-2)]

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

integrate((B*x+A)*(b*x^2+a*x)^(1/2)/x/(d*x+c),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/1.1.6_Improper_linear_binomial/85_1.1.6.7

Test file number \(85\)

Integral number in file \(4\)

Giac [F(-2)]

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

integrate((B*x+A)*(b*x^2+a*x)^(1/2)/x^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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/85_1.1.6.7

Test file number \(85\)

Integral number in file \(5\)

Giac [F(-2)]

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

integrate((B*x+A)*(b*x^2+a*x)^(1/2)/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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/85_1.1.6.7

Test file number \(85\)

Integral number in file \(10\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(A+B x) \sqrt {a x+b x^2}}{x^4 (c+d x)^2} \, dx=\text {Exception raised: NotImplementedError} \] Input:

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 3673 
40582 icas_eval sage2367.352 NTL factor begin367.352 NTL factor end367.352 
 NTL factor begin367.352 NTL factor endPsr 10.125, Mod 282.843, Heu 26214. 
4, Min10.125GCD dim
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.6_Improper_linear_binomial/85_1.1.6.7

Test file number \(85\)

Integral number in file \(13\)

Giac [F(-2)]

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

integrate(1/((b*x^3+a)/x)^(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/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(386\)

Giac [F(-2)]

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

integrate(1/((b*x^5+a)/x^3)^(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/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(388\)

Giac [F(-2)]

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

integrate(1/((-b*x^3+a)/x)^(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/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(390\)

Giac [F(-2)]

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

integrate(1/((-b*x^5+a)/x^3)^(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/1.1.7_Improper_general_binomial/86_1.1.7.1

Test file number \(86\)

Integral number in file \(392\)

Giac [F(-2)]

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

integrate((e*x+d)^5/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(235\)

Giac [F(-2)]

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

integrate((e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(236\)

Giac [F(-2)]

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

integrate((e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(237\)

Giac [F(-2)]

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

integrate(1/(e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(238\)

Giac [F(-2)]

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

integrate(1/(e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(239\)

Giac [F(-2)]

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

integrate((e*x+d)^4/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(240\)

Giac [F(-2)]

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

integrate((e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(241\)

Giac [F(-2)]

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

integrate(1/(e*x+d)^2/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(243\)

Giac [F(-2)]

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

integrate(1/(e*x+d)^4/(c*e^2*x^2+2*c*d*e*x+c*d^2)^(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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(244\)

Giac [F(-2)]

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

integrate((e*x+d)^5/(c*e^2*x^2+2*c*d*e*x+c*d^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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(245\)

Giac [F(-2)]

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

integrate((e*x+d)^3/(c*e^2*x^2+2*c*d*e*x+c*d^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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(246\)

Giac [F(-2)]

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

integrate((e*x+d)/(c*e^2*x^2+2*c*d*e*x+c*d^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/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.2/90_1.2.1.2_b

Test file number \(90\)

Integral number in file \(247\)