2.3.0 Integrals 501 to 600

Integrals 501 to 600

Giac [F(-2)]

Exception generated. $\int \frac{{(a + \frac{b}{c + d x^{2}})}^{3 / 2}}{x} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x \sqrt{a + \frac{b}{c + d x^{2}}}} d x = Exception raised: TypeError$ 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. $\int \frac{x}{{(a + \frac{b}{c + d x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x {(a + \frac{b}{c + d x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int x^{3} {(a + \frac{b}{c + d x^{2}})}^{p} d x = Exception raised: RuntimeError$ 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. $\int \frac{x^{5}}{a + \frac{b}{{(c + d x^{2})}^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{x^{3}}{a + \frac{b}{{(c + d x^{2})}^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{x}{a + \frac{b}{{(c + d x^{2})}^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x (a + \frac{b}{{(c + d x^{2})}^{2}})} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x^{3} (a + \frac{b}{{(c + d x^{2})}^{2}})} d x = Exception raised: TypeError$ 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. $\int \frac{x^{6}}{a + \frac{b}{{(c + d x^{2})}^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{x^{4}}{a + \frac{b}{{(c + d x^{2})}^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{x^{2}}{a + \frac{b}{{(c + d x^{2})}^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{a + \frac{b}{{(c + d x^{2})}^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x^{2} (a + \frac{b}{{(c + d x^{2})}^{2}})} d x = Exception raised: TypeError$ 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. $\int \frac{x^{4}}{{(c + d \sqrt{a + b x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{x^{2}}{{(c + d \sqrt{a + b x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{{(c + d \sqrt{a + b x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x^{2} {(c + d \sqrt{a + b x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x^{4} {(c + d \sqrt{a + b x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int (A + B x + C x^{2}) {(a + \frac{b}{c + d x})}^{p} d x = Exception raised: RuntimeError$ 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. $\int \frac{\sqrt{\frac{e (a + b x^{2})}{c + d x^{2}}}}{x} d x = Exception raised: TypeError$ 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. $\int x^{5} {(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2} d x = Exception raised: TypeError$ 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. $\int x^{3} {(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2} d x = Exception raised: TypeError$ 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. $\int x {(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2} d x = Exception raised: TypeError$ 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. $\int \frac{{(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2}}{x} d x = Exception raised: TypeError$ 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. $\int \frac{{(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2}}{x^{3}} d x = Exception raised: TypeError$ 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. $\int \frac{{(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2}}{x^{5}} d x = Exception raised: TypeError$ 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. $\int \frac{{(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2}}{x^{7}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x \sqrt{\frac{e (a + b x^{2})}{c + d x^{2}}}} d x = Exception raised: TypeError$ 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. $\int \frac{x^{5}}{{(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{x^{3}}{{(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{x}{{(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x {(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x^{3} {(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x^{5} {(\frac{e (a + b x^{2})}{c + d x^{2}})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{b x + c x^{2}}}{d + e x} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{b x + c x^{2}}}{(d + e x)^{2}} d x = Exception raised: TypeError$ 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. $\int \frac{{(b x + c x^{2})}^{3 / 2}}{d + e x} d x = Exception raised: TypeError$ 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. $\int \frac{{(b x + c x^{2})}^{5 / 2}}{d + e x} d x = Exception raised: TypeError$ 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. $\int \frac{1}{(d + e x)^{2} \sqrt{b x + c x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{x^{2} \sqrt{a x + b x^{2}}}{c + d x} d x = Exception raised: TypeError$ 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. $\int \frac{x \sqrt{a x + b x^{2}}}{c + d x} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{a x + b x^{2}}}{c + d x} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{a x + b x^{2}}}{x (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{a x + b x^{2}}}{(c + d x)^{2}} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{a x + b x^{2}}}{x^{4} (c + d x)^{2}} d x = Exception raised: NotImplementedError$ 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. $\int \frac{\sqrt{a x + b x^{2}}}{x^{2} (c + d x)^{3}} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{a x + b x^{2}}}{x^{3} (c + d x)^{3}} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{a x + b x^{2}}}{x (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{x (a + b x)}}{x (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{a x + b x^{2}}}{c x + d x^{2}} d x = Exception raised: TypeError$ 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. $\int \frac{\sqrt{x (a + b x)}}{c x + d x^{2}} d x = Exception raised: TypeError$ 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. $\int \frac{x {(a x + b x^{2})}^{3 / 2}}{c + d x} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{3 / 2}}{c + d x} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{3 / 2}}{x (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{3 / 2}}{x^{2} (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{3 / 2}}{x^{3} (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{3 / 2}}{x^{2} (c + d x)^{2}} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{3 / 2}}{x^{5} (c + d x)^{2}} d x = Exception raised: NotImplementedError$ 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. $\int \frac{{(a x + b x^{2})}^{3 / 2}}{x^{3} (c + d x)^{3}} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{3 / 2}}{x^{4} (c + d x)^{3}} d x = Exception raised: TypeError$ 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. $\int \frac{x {(a x + b x^{2})}^{5 / 2}}{c + d x} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{5 / 2}}{c + d x} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{5 / 2}}{x (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{5 / 2}}{x^{2} (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{5 / 2}}{x^{3} (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{5 / 2}}{x^{4} (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{{(a x + b x^{2})}^{5 / 2}}{x^{5} (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{x^{3}}{(c + d x) \sqrt{a x + b x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{x^{2}}{(c + d x) \sqrt{a x + b x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{x}{(c + d x) \sqrt{a x + b x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{x^{2}}{(c + d x)^{2} \sqrt{a x + b x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{(c + d x)^{2} \sqrt{a x + b x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{x^{3} (c + d x)^{2} \sqrt{a x + b x^{2}}} d x = Exception raised: NotImplementedError$ 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. $\int \frac{1}{\sqrt{a x + b x^{2}} (c^{2} x^{2} + 2 c d x^{3} + d^{2} x^{4})} d x = Exception raised: TypeError$ 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. $\int \frac{1}{\sqrt{x (a + b x)} (c^{2} x^{2} + 2 c d x^{3} + d^{2} x^{4})} d x = Exception raised: TypeError$ 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. $\int \frac{x^{2} (A + B x) \sqrt{a x + b x^{2}}}{c + d x} d x = Exception raised: TypeError$ 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. $\int \frac{x (A + B x) \sqrt{a x + b x^{2}}}{c + d x} d x = Exception raised: TypeError$ 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. $\int \frac{(A + B x) \sqrt{a x + b x^{2}}}{c + d x} d x = Exception raised: TypeError$ 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. $\int \frac{(A + B x) \sqrt{a x + b x^{2}}}{x (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{(A + B x) \sqrt{a x + b x^{2}}}{x^{2} (c + d x)} d x = Exception raised: TypeError$ 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. $\int \frac{(A + B x) \sqrt{a x + b x^{2}}}{x (c + d x)^{2}} d x = Exception raised: TypeError$ 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. $\int \frac{(A + B x) \sqrt{a x + b x^{2}}}{x^{4} (c + d x)^{2}} d x = Exception raised: NotImplementedError$ 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. $\int \frac{1}{\sqrt{\frac{a + b x^{3}}{x}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{\sqrt{\frac{a + b x^{5}}{x^{3}}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{\sqrt{\frac{a - b x^{3}}{x}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{\sqrt{\frac{a - b x^{5}}{x^{3}}}} d x = Exception raised: TypeError$ 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. $\int \frac{(d + e x)^{5}}{\sqrt{c d^{2} + 2 c d e x + c e^{2} x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{(d + e x)^{3}}{\sqrt{c d^{2} + 2 c d e x + c e^{2} x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{d + e x}{\sqrt{c d^{2} + 2 c d e x + c e^{2} x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{(d + e x) \sqrt{c d^{2} + 2 c d e x + c e^{2} x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{(d + e x)^{3} \sqrt{c d^{2} + 2 c d e x + c e^{2} x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{(d + e x)^{4}}{\sqrt{c d^{2} + 2 c d e x + c e^{2} x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{(d + e x)^{2}}{\sqrt{c d^{2} + 2 c d e x + c e^{2} x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{(d + e x)^{2} \sqrt{c d^{2} + 2 c d e x + c e^{2} x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{1}{(d + e x)^{4} \sqrt{c d^{2} + 2 c d e x + c e^{2} x^{2}}} d x = Exception raised: TypeError$ 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. $\int \frac{(d + e x)^{5}}{{(c d^{2} + 2 c d e x + c e^{2} x^{2})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{(d + e x)^{3}}{{(c d^{2} + 2 c d e x + c e^{2} x^{2})}^{3 / 2}} d x = Exception raised: TypeError$ 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. $\int \frac{d + e x}{{(c d^{2} + 2 c d e x + c e^{2} x^{2})}^{3 / 2}} d x = Exception raised: TypeError$ 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 $247$

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