Integrals 3601 to 3700

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{9/2}}{(a+ia\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(9/2)/(a+I*a*tan(f*x+e))^(5/ 
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 TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $843$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{7/2}}{(a+ia\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2)/(a+I*a*tan(f*x+e))^(5/ 
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 TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $844$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{5/2}}{(a+ia\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(f*x+e))^(5/ 
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 TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $845$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c-ic\tan (e+fx){)}^{3/2}}{(a+ia\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(f*x+e))^(5/ 
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 TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $846$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))\sqrt{c-ic\tan (e+fx)}}{(a+ia\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(f*x+e))^(5/ 
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 TypeError: Bad 
Argument TypeError: Bad Argument TypeError: Bad Argument TypeDone
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $847$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\tan (e+fx))(c+d\tan (e+fx))}{(a+ia\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e))*(c+d*tan(f*x+e))/(a+I*a*tan(f*x+e))^(3/2),x, al 
gorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/218_4.3.3.1

Test file number $218$

Integral number in file $855$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^m(c+dx)(A+B\tan (c+dx)+C{\tan }^2(c+dx))}{\sqrt{b\tan (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(d*x+c)^m*(A+B*tan(d*x+c)+C*tan(d*x+c)^2)/(b*tan(d*x+c))^(1/2 
),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,[3,9]%%%}+%%%{4,[3,7]%%%}+%%%{6,[3,5]%%%}+%%%{4,[3,3 
]%%%}+%%%
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $48$

Giac [F(-2)]

Exception generated. $$\int (a+b\tan (e+fx){)}^3\sqrt{c+d\tan (e+fx)}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))^3*(c+d*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)+C*tan( 
f*x+e)^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,[0,29,11]%%%}+%%%{12,[0,27,11]%%%}+%%%{66,[0,25,11]% 
%%}+%%%{2
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $90$

Giac [F(-2)]

Exception generated. $$\int (a+b\tan (e+fx){)}^2\sqrt{c+d\tan (e+fx)}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))^2*(c+d*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)+C*tan( 
f*x+e)^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,[0,24,9]%%%}+%%%{10,[0,22,9]%%%}+%%%{45,[0,20,9]%%%} 
+%%%{120,
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $91$

Giac [F(-2)]

Exception generated. $$\int (a+b\tan (e+fx))\sqrt{c+d\tan (e+fx)}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))*(c+d*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)+C*tan(f* 
x+e)^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,[0,19,7]%%%}+%%%{8,[0,17,7]%%%}+%%%{28,[0,15,7]%%%}+ 
%%%{56,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $92$

Giac [F(-2)]

Exception generated. $$\int \sqrt{c+d\tan (e+fx)}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((c+d*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2),x, algori 
thm="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,[0,14,5]%%%}+%%%{6,[0,12,5]%%%}+%%%{15,[0,10,5]%%%}+ 
%%%{20,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $93$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+d\tan (e+fx)}(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{a+b\tan (e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((c+d*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan( 
f*x+e)),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/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $94$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+d\tan (e+fx)}(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(a+b\tan (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((c+d*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan( 
f*x+e))^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,[0,14,6]%%%}+%%%{6,[0,12,6]%%%}+%%%{15,[0,10,6]%%%}+ 
%%%{20,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $95$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+d\tan (e+fx)}(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(a+b\tan (e+fx){)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,19,8]%%%}+%%%{8,[0,17,8]%%%}+%%%{28,[0,15,8]%%%}+ 
%%%{56,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $96$

Giac [F(-2)]

Exception generated. $$\int (a+b\tan (e+fx){)}^3(c+d\tan (e+fx){)}^{3/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))^3*(c+d*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e)+C*tan( 
f*x+e)^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,[0,34,13]%%%}+%%%{14,[0,32,13]%%%}+%%%{91,[0,30,13]% 
%%}+%%%{3
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $97$

Giac [F(-2)]

Exception generated. $$\int (a+b\tan (e+fx){)}^2(c+d\tan (e+fx){)}^{3/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))^2*(c+d*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e)+C*tan( 
f*x+e)^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,[0,29,11]%%%}+%%%{12,[0,27,11]%%%}+%%%{66,[0,25,11]% 
%%}+%%%{2
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $98$

Giac [F(-2)]

Exception generated. $$\int (a+b\tan (e+fx))(c+d\tan (e+fx){)}^{3/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))*(c+d*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e)+C*tan(f* 
x+e)^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,[0,24,9]%%%}+%%%{10,[0,22,9]%%%}+%%%{45,[0,20,9]%%%} 
+%%%{120,
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $99$

Giac [F(-2)]

Exception generated. $$\int (c+d\tan (e+fx){)}^{3/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2),x, algori 
thm="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,[0,19,7]%%%}+%%%{8,[0,17,7]%%%}+%%%{28,[0,15,7]%%%}+ 
%%%{56,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $100$

Giac [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{a+b\tan (e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan( 
f*x+e)),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/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $101$

Giac [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(a+b\tan (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((c+d*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan( 
f*x+e))^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,[0,19,8]%%%}+%%%{-8,[0,17,8]%%%}+%%%{-28,[0,15,8]%% 
%}+%%%{-5
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $102$

Giac [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{3/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(a+b\tan (e+fx){)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[0,19,8]%%%}+%%%{8,[0,17,8]%%%}+%%%{28,[0,15,8]%%%}+ 
%%%{56,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $103$

Giac [F(-2)]

Exception generated. $$\int (a+b\tan (e+fx){)}^2(c+d\tan (e+fx){)}^{5/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))^2*(c+d*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e)+C*tan( 
f*x+e)^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,[0,34,13]%%%}+%%%{14,[0,32,13]%%%}+%%%{91,[0,30,13]% 
%%}+%%%{3
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $104$

Giac [F(-2)]

Exception generated. $$\int (a+b\tan (e+fx))(c+d\tan (e+fx){)}^{5/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))*(c+d*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e)+C*tan(f* 
x+e)^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,[0,29,11]%%%}+%%%{12,[0,27,11]%%%}+%%%{66,[0,25,11]% 
%%}+%%%{2
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $105$

Giac [F(-2)]

Exception generated. $$\int (c+d\tan (e+fx){)}^{5/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))dx=\text{Exception raised: TypeError}$$ Input:

integrate((c+d*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2),x, algori 
thm="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,[0,24,9]%%%}+%%%{10,[0,22,9]%%%}+%%%{45,[0,20,9]%%%} 
+%%%{120,
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $106$

Giac [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{5/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{a+b\tan (e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate((c+d*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan( 
f*x+e)),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/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $107$

Giac [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{5/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(a+b\tan (e+fx){)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((c+d*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan( 
f*x+e))^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,[0,22,10]%%%}+%%%{10,[0,20,10]%%%}+%%%{45,[0,18,10]% 
%%}+%%%{1
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $108$

Giac [F(-2)]

Exception generated. $$\int \frac{(c+d\tan (e+fx){)}^{5/2}(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(a+b\tan (e+fx){)}^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{-1,[0,21,6]%%%}+%%%{-10,[0,19,6]%%%}+%%%{-45,[0,17,6]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $109$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (e+fx){)}^3(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))^3*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+ 
e))^(1/2),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,[0,24,9]%%%}+%%%{10,[0,22,9]%%%}+%%%{45,[0,20,9]%%%} 
+%%%{120,
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $110$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (e+fx){)}^2(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))^2*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+ 
e))^(1/2),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,[0,19,7]%%%}+%%%{8,[0,17,7]%%%}+%%%{28,[0,15,7]%%%}+ 
%%%{56,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $111$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (e+fx))(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e) 
)^(1/2),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,[0,14,5]%%%}+%%%{6,[0,12,5]%%%}+%%%{15,[0,10,5]%%%}+ 
%%%{20,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $112$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(1/2),x, algori 
thm="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,[0,9,3]%%%}+%%%{4,[0,7,3]%%%}+%%%{6,[0,5,3]%%%}+%%%{ 
4,[0,3,3]
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $113$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx))\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan(f*x+e))/(c+d*tan(f*x+e) 
)^(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/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $114$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx){)}^2\sqrt{c+d\tan (e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan(f*x+e))^2/(c+d*tan(f*x+ 
e))^(1/2),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,[0,14,6]%%%}+%%%{6,[0,12,6]%%%}+%%%{15,[0,10,6]%%%}+ 
%%%{20,[0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $115$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(3/2),x, algori 
thm="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,[3,9,3]%%%}+%%%{4,[3,7,3]%%%}+%%%{6,[3,5,3]%%%}+%%%{ 
4,[3,3,3]
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $119$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx))(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan(f*x+e))/(c+d*tan(f*x+e) 
)^(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/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $120$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx){)}^2(c+d\tan (e+fx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{1,[3,19,8]%%%}+%%%{8,[3,17,8]%%%}+%%%{28,[3,15,8]%%%}+ 
%%%{56,[3
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $121$

Giac [F(-2)]

Exception generated. $$\int \frac{(a+b\tan (e+fx))(A+B\tan (e+fx)+C{\tan }^2(e+fx))}{(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e))*(A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e) 
)^(5/2),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,[6,14,5]%%%}+%%%{6,[6,12,5]%%%}+%%%{15,[6,10,5]%%%}+ 
%%%{20,[6
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $124$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(c+d*tan(f*x+e))^(5/2),x, algori 
thm="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,[6,14,5]%%%}+%%%{6,[6,12,5]%%%}+%%%{15,[6,10,5]%%%}+ 
%%%{20,[6
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $125$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx))(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan(f*x+e))/(c+d*tan(f*x+e) 
)^(5/2),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/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $126$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\tan (e+fx)+C{\tan }^2(e+fx)}{(a+b\tan (e+fx){)}^2(c+d\tan (e+fx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*tan(f*x+e)+C*tan(f*x+e)^2)/(a+b*tan(f*x+e))^2/(c+d*tan(f*x+ 
e))^(5/2),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,[6,22,10]%%%}+%%%{-10,[6,20,10]%%%}+%%%{-45,[6,18,1 
0]%%%}+%%
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/219_4.3.4.2

Test file number $219$

Integral number in file $127$

Giac [F(-2)]

Exception generated. $$\int \csc (e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(csc(f*x+e)*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionDegree mismatch inside factorisation over extensionDegree 
mismatch
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $95$

Giac [F(-2)]

Exception generated. $$\int {\csc }^3(e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(csc(f*x+e)^3*(a+b*tan(f*x+e)^2)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $96$

Giac [F(-2)]

Exception generated. $$\int {\csc }^5(e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(csc(f*x+e)^5*(a+b*tan(f*x+e)^2)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $97$

Giac [F(-2)]

Exception generated. $$\int \csc (e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(csc(f*x+e)*(a+b*tan(f*x+e)^2)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $107$

Giac [F(-2)]

Exception generated. $$\int {\csc }^5(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(csc(f*x+e)^5*(a+b*tan(f*x+e)^2)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $109$

Giac [F(-2)]

Exception generated. $$\int {(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $112$

Giac [F(-2)]

Exception generated. $$\int \frac{\csc (e+fx)}{\sqrt{a+b{\tan }^2(e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(csc(f*x+e)/(a+b*tan(f*x+e)^2)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $119$

Giac [F(-2)]

Exception generated. $$\int \frac{\csc (e+fx)}{{(a+b{\tan }^2(e+fx))}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(csc(f*x+e)/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionNot implemented, e.g. for multivariate mod/approx polynomi 
alsError:
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $131$

Giac [F(-2)]

Exception generated. $$\int \frac{\csc (e+fx)}{{(a+b{\tan }^2(e+fx))}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(csc(f*x+e)/(a+b*tan(f*x+e)^2)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionNot implemented, e.g. for multivariate mod/approx polynomi 
alsError:
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $143$

Giac [F(-2)]

Exception generated. $$\int {\tan }^5(e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^5*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $293$

Giac [F(-2)]

Exception generated. $$\int {\tan }^3(e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^3*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $294$

Giac [F(-2)]

Exception generated. $$\int \tan (e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $295$

Giac [F(-2)]

Exception generated. $$\int \cot (e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)*(a+b*tan(f*x+e)^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionDegree mismatch inside factorisation over extensionDegree 
mismatch
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $296$

Giac [F(-2)]

Exception generated. $$\int {\cot }^3(e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)^3*(a+b*tan(f*x+e)^2)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $297$

Giac [F(-2)]

Exception generated. $$\int {\cot }^5(e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)^5*(a+b*tan(f*x+e)^2)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $298$

Giac [F(-2)]

Exception generated. $$\int {\tan }^6(e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^6*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $299$

Giac [F(-2)]

Exception generated. $$\int {\tan }^4(e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^4*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $300$

Giac [F(-2)]

Exception generated. $$\int {\tan }^2(e+fx)\sqrt{a+b{\tan }^2(e+fx)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^2*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $301$

Giac [F(-2)]

Exception generated. $$\int {\tan }^5(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^5*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $306$

Giac [F(-2)]

Exception generated. $$\int {\tan }^3(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^3*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $307$

Giac [F(-2)]

Exception generated. $$\int \tan (e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $308$

Giac [F(-2)]

Exception generated. $$\int \cot (e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $309$

Giac [F(-2)]

Exception generated. $$\int {\cot }^3(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)^3*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $310$

Giac [F(-2)]

Exception generated. $$\int {\cot }^5(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)^5*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $311$

Giac [F(-2)]

Exception generated. $$\int {\tan }^6(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^6*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $312$

Giac [F(-2)]

Exception generated. $$\int {\tan }^4(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^4*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $313$

Giac [F(-2)]

Exception generated. $$\int {\tan }^2(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^2*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $314$

Giac [F(-2)]

Exception generated. $$\int {(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $315$

Giac [F(-2)]

Exception generated. $$\int {\cot }^2(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)^2*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $316$

Giac [F(-2)]

Exception generated. $$\int {\cot }^4(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)^4*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $317$

Giac [F(-2)]

Exception generated. $$\int {\cot }^6(e+fx){(a+b{\tan }^2(e+fx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)^6*(a+b*tan(f*x+e)^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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $318$

Giac [F(-2)]

Exception generated. $$\int {(a+b{\tan }^2(c+dx))}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $319$

Giac [F(-2)]

Exception generated. $$\int \frac{\cot (e+fx)}{\sqrt{a+b{\tan }^2(e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)/(a+b*tan(f*x+e)^2)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $323$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^3(e+fx)}{\sqrt{a+b{\tan }^2(e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)^3/(a+b*tan(f*x+e)^2)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $324$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^5(e+fx)}{\sqrt{a+b{\tan }^2(e+fx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)^5/(a+b*tan(f*x+e)^2)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $325$

Giac [F(-2)]

Exception generated. $$\int \frac{\cot (e+fx)}{{(a+b{\tan }^2(e+fx))}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(f*x+e)/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Warning, need to choose a branch fo 
r the root of a polynomial with parameters. This might be wrong.Non regula 
r value [
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $336$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^4(e+fx)}{{(a+b{\tan }^2(e+fx))}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(f*x+e)^4/(a+b*tan(f*x+e)^2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Warning, need to choose a branch fo 
r the root of a polynomial with parameters. This might be wrong.Non regula 
r value [
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $340$

Giac [F(-2)]

Exception generated. $$\int \cot (x)\sqrt{a+b{\tan }^4(x)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionError: Bad Argument Type
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $391$

Giac [F(-2)]

Exception generated. $$\int \cot (x){(a+b{\tan }^4(x))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(x)*(a+b*tan(x)^4)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionError: Bad Argument Type
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $395$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^3(x)}{\sqrt{a+b{\tan }^4(x)}}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionDegree mismatch inside factorisation over extensionError: 
Bad Argum
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $398$

Giac [F(-2)]

Exception generated. $$\int \frac{\cot (x)}{\sqrt{a+b{\tan }^4(x)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(x)/(a+b*tan(x)^4)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $400$

Giac [F(-2)]

Exception generated. $$\int \frac{\cot (x)}{{(a+b{\tan }^4(x))}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(x)/(a+b*tan(x)^4)^(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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $404$

Giac [F(-2)]

Exception generated. $$\int \frac{\cot (x)}{{(a+b{\tan }^4(x))}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(x)/(a+b*tan(x)^4)^(5/2),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/4_Trig_functions/4.3_Tangent/220_4.3.7

Test file number $220$

Integral number in file $407$

Giac [F(-2)]

Exception generated. $$\int {\tan }^3(d+ex)\sqrt{a+b\tan (d+ex)+c{\tan }^2(d+ex)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(e*x+d)^3*(a+b*tan(e*x+d)+c*tan(e*x+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/4_Trig_functions/4.3_Tangent/221_4.3.9

Test file number $221$

Integral number in file $1$

Giac [F(-2)]

Exception generated. $$\int {\tan }^2(d+ex)\sqrt{a+b\tan (d+ex)+c{\tan }^2(d+ex)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(e*x+d)^2*(a+b*tan(e*x+d)+c*tan(e*x+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/4_Trig_functions/4.3_Tangent/221_4.3.9

Test file number $221$

Integral number in file $2$

Giac [F(-2)]

Exception generated. $$\int \tan (d+ex)\sqrt{a+b\tan (d+ex)+c{\tan }^2(d+ex)}dx=\text{Exception raised: TypeError}$$ Input:

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

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/4_Trig_functions/4.3_Tangent/221_4.3.9

Test file number $221$

Integral number in file $3$

Giac [F(-2)]

Exception generated. $$\int (\frac{x^2}{{\tan }^{\frac{3}{2}}(a+bx)}-\frac{4x}{b\sqrt{\tan (a+bx)}}+x^2\sqrt{\tan (a+bx)})dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/222_4.3.10

Test file number $222$

Integral number in file $16$

Giac [F(-2)]

Exception generated. $$\int (\frac{x^2}{\sqrt{\tan (a+b{x}^2)}}+\frac{\sqrt{\tan (a+b{x}^2)}}{b}+x^2{\tan }^{\frac{3}{2}}(a+b{x}^2))dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/222_4.3.10

Test file number $222$

Integral number in file $17$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt{a{\cot }^4(x)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(a*cot(x)^4)^(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/4_Trig_functions/4.4_Cotangent/224_4.4.0

Test file number $224$

Integral number in file $35$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(a{\cot }^4(x))}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(a*cot(x)^4)^(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/4_Trig_functions/4.4_Cotangent/224_4.4.0

Test file number $224$

Integral number in file $36$

Giac [F(-2)]

Exception generated. $$\int {(a+b{\cot }^2(c+dx))}^{5/2}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number $228$

Integral number in file $31$

Giac [F(-2)]

Exception generated. $$\int {(a+b{\cot }^2(c+dx))}^{3/2}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number $228$

Integral number in file $32$

Giac [F(-2)]

Exception generated. $$\int \sqrt{a+b{\cot }^2(c+dx)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Degree mismatch inside factorisatio 
n over extensionDegree mismatch inside factorisation over extensionDegree 
mismatch
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/228_4.4.7

Test file number $228$

Integral number in file $33$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^5(d+ex)}{\sqrt{a+b\cot (d+ex)+c{\cot }^2(d+ex)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(e*x+d)^5/(a+b*cot(e*x+d)+c*cot(e*x+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:Not invertible Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number $229$

Integral number in file $1$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^3(d+ex)}{\sqrt{a+b\cot (d+ex)+c{\cot }^2(d+ex)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(e*x+d)^3/(a+b*cot(e*x+d)+c*cot(e*x+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:Not invertible Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number $229$

Integral number in file $2$

Giac [F(-2)]

Exception generated. $$\int \frac{\cot (d+ex)}{\sqrt{a+b\cot (d+ex)+c{\cot }^2(d+ex)}}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number $229$

Integral number in file $3$

Giac [F(-2)]

Exception generated. $$\int \frac{\tan (d+ex)}{\sqrt{a+b\cot (d+ex)+c{\cot }^2(d+ex)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(e*x+d)/(a+b*cot(e*x+d)+c*cot(e*x+d)^2)^(1/2),x, algorithm="g 
iac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number $229$

Integral number in file $4$

Giac [F(-2)]

Exception generated. $$\int \frac{{\tan }^3(d+ex)}{\sqrt{a+b\cot (d+ex)+c{\cot }^2(d+ex)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(tan(e*x+d)^3/(a+b*cot(e*x+d)+c*cot(e*x+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:Not invertible Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number $229$

Integral number in file $5$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^7(d+ex)}{{(a+b\cot (d+ex)+c{\cot }^2(d+ex))}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(e*x+d)^7/(a+b*cot(e*x+d)+c*cot(e*x+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:Not invertible Error: Bad Argument 
Value
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number $229$

Integral number in file $10$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cot }^5(d+ex)}{{(a+b\cot (d+ex)+c{\cot }^2(d+ex))}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cot(e*x+d)^5/(a+b*cot(e*x+d)+c*cot(e*x+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:Not invertible Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.4_Cotangent/229_4.4.9

Test file number $229$

Integral number in file $11$