Integrals 2501 to 2600

Giac [F(-2)]

Exception generated. $$\int \frac{A+C{\cos }^2(c+dx)}{\sqrt{\cos (c+dx)}(b\cos (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(3/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $128$

Giac [F(-2)]

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

integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(3/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $129$

Giac [F(-2)]

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

integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(3/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $130$

Giac [F(-2)]

Exception generated. $$\int \frac{A+C{\cos }^2(c+dx)}{{\cos }^{\frac{7}{2}}(c+dx)(b\cos (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/(b*cos(d*x+c))^(3/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $131$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cos }^{\frac{9}{2}}(c+dx)(A+C{\cos }^2(c+dx))}{(b\cos (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cos(d*x+c)^(9/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $132$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cos }^{\frac{7}{2}}(c+dx)(A+C{\cos }^2(c+dx))}{(b\cos (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cos(d*x+c)^(7/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $133$

Giac [F(-2)]

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

integrate(cos(d*x+c)^(5/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $134$

Giac [F(-2)]

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

integrate(cos(d*x+c)^(3/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $135$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{\cos (c+dx)}(A+C{\cos }^2(c+dx))}{(b\cos (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cos(d*x+c)^(1/2)*(A+C*cos(d*x+c)^2)/(b*cos(d*x+c))^(5/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $136$

Giac [F(-2)]

Exception generated. $$\int \frac{A+C{\cos }^2(c+dx)}{\sqrt{\cos (c+dx)}(b\cos (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2)/(b*cos(d*x+c))^(5/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $137$

Giac [F(-2)]

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

integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^(5/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $138$

Giac [F(-2)]

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

integrate((A+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^(5/2),x, algo 
rithm="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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $139$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cos }^{\frac{5}{2}}(c+dx)(A+B\cos (c+dx)+C{\cos }^2(c+dx))}{\sqrt{b\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cos(d*x+c)^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(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: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $315$

Giac [F(-2)]

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

integrate(cos(d*x+c)^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(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: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $316$

Giac [F(-2)]

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

integrate(cos(d*x+c)^(1/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(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: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $317$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2)/(b*cos(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: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $318$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(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: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $319$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\cos (c+dx)+C{\cos }^2(c+dx)}{{\cos }^{\frac{5}{2}}(c+dx)\sqrt{b\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(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: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $320$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\cos (c+dx)+C{\cos }^2(c+dx)}{{\cos }^{\frac{7}{2}}(c+dx)\sqrt{b\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/(b*cos(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: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $321$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\cos (c+dx)+C{\cos }^2(c+dx)}{{\cos }^{\frac{9}{2}}(c+dx)\sqrt{b\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(9/2)/(b*cos(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: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $322$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cos }^{\frac{7}{2}}(c+dx)(A+B\cos (c+dx)+C{\cos }^2(c+dx))}{(b\cos (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cos(d*x+c)^(7/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^ 
(3/2),x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $323$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $324$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $325$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $326$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $327$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $328$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $329$

Giac [F(-2)]

Exception generated. $$\int \frac{A+B\cos (c+dx)+C{\cos }^2(c+dx)}{{\cos }^{\frac{7}{2}}(c+dx)(b\cos (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(7/2)/(b*cos(d*x+c))^ 
(3/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $330$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cos }^{\frac{9}{2}}(c+dx)(A+B\cos (c+dx)+C{\cos }^2(c+dx))}{(b\cos (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cos(d*x+c)^(9/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^ 
(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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $331$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cos }^{\frac{7}{2}}(c+dx)(A+B\cos (c+dx)+C{\cos }^2(c+dx))}{(b\cos (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cos(d*x+c)^(7/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^ 
(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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $332$

Giac [F(-2)]

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

integrate(cos(d*x+c)^(5/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^ 
(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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $333$

Giac [F(-2)]

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

integrate(cos(d*x+c)^(3/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^ 
(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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $334$

Giac [F(-2)]

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

integrate(cos(d*x+c)^(1/2)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(b*cos(d*x+c))^ 
(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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $335$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(1/2)/(b*cos(d*x+c))^ 
(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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $336$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(3/2)/(b*cos(d*x+c))^ 
(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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $337$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/cos(d*x+c)^(5/2)/(b*cos(d*x+c))^ 
(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/4.2_Cosine/208_4.2.4.1

Test file number $208$

Integral number in file $338$

Giac [F(-2)]

Exception generated. $$\int \frac{{\cos }^3(c+dx)(A+C{\cos }^2(c+dx))}{\sqrt{a+a\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(cos(d*x+c)^3*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(1/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $102$

Giac [F(-2)]

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

integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(1/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $103$

Giac [F(-2)]

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

integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(1/2),x, algorith 
m="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $104$

Giac [F(-2)]

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

integrate((A+C*cos(d*x+c)^2)/(a+a*cos(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: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $105$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx))\sec (c+dx)}{\sqrt{a+a\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)/(a+a*cos(d*x+c))^(1/2),x, algorith 
m="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $106$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx)){\sec }^2(c+dx)}{\sqrt{a+a\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(a+a*cos(d*x+c))^(1/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $107$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx)){\sec }^3(c+dx)}{\sqrt{a+a\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+a*cos(d*x+c))^(1/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $108$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx)){\sec }^4(c+dx)}{\sqrt{a+a\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^4/(a+a*cos(d*x+c))^(1/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $109$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx)){\sec }^5(c+dx)}{\sqrt{a+a\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^5/(a+a*cos(d*x+c))^(1/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $110$

Giac [F(-2)]

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

integrate(cos(d*x+c)^3*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $111$

Giac [F(-2)]

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

integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $112$

Giac [F(-2)]

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

integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algorith 
m="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $113$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $114$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx))\sec (c+dx)}{(a+a\cos (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)/(a+a*cos(d*x+c))^(3/2),x, algorith 
m="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $115$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx)){\sec }^2(c+dx)}{(a+a\cos (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(a+a*cos(d*x+c))^(3/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $116$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx)){\sec }^3(c+dx)}{(a+a\cos (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+a*cos(d*x+c))^(3/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $117$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx)){\sec }^4(c+dx)}{(a+a\cos (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^4/(a+a*cos(d*x+c))^(3/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $118$

Giac [F(-2)]

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

integrate(cos(d*x+c)^3*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(5/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $119$

Giac [F(-2)]

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

integrate(cos(d*x+c)^2*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(5/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $120$

Giac [F(-2)]

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

integrate(cos(d*x+c)*(A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(5/2),x, algorith 
m="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $121$

Giac [F(-2)]

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

integrate((A+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $122$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx))\sec (c+dx)}{(a+a\cos (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)/(a+a*cos(d*x+c))^(5/2),x, algorith 
m="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $123$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx)){\sec }^2(c+dx)}{(a+a\cos (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^2/(a+a*cos(d*x+c))^(5/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $124$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+C{\cos }^2(c+dx)){\sec }^3(c+dx)}{(a+a\cos (c+dx){)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+a*cos(d*x+c))^(5/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $125$

Giac [F(-2)]

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

integrate((B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(1/2),x, algorith 
m="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $280$

Giac [F(-2)]

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

integrate((B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algorith 
m="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $281$

Giac [F(-2)]

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

integrate((B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(5/2),x, algorith 
m="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $282$

Giac [F(-2)]

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

integrate(cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(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: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $401$

Giac [F(-2)]

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

integrate(cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(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: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $402$

Giac [F(-2)]

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

integrate(cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(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: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $403$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(1/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $404$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(a+a*cos(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: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $405$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(a+a*cos(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: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $406$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+a*cos(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: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $407$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\cos (c+dx)+C{\cos }^2(c+dx)){\sec }^4(c+dx)}{\sqrt{a+a\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4/(a+a*cos(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: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $408$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\cos (c+dx)+C{\cos }^2(c+dx)){\sec }^5(c+dx)}{\sqrt{a+a\cos (c+dx)}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^5/(a+a*cos(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: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $409$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $410$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $411$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $412$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(3/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $413$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(a+a*cos(d*x+c))^(3/2 
),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $414$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(a+a*cos(d*x+c))^(3 
/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $415$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+a*cos(d*x+c))^(3 
/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $416$

Giac [F(-2)]

Exception generated. $$\int \frac{(A+B\cos (c+dx)+C{\cos }^2(c+dx)){\sec }^4(c+dx)}{(a+a\cos (c+dx){)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^4/(a+a*cos(d*x+c))^(3 
/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $417$

Giac [F(-2)]

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

integrate(cos(d*x+c)^3*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $418$

Giac [F(-2)]

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

integrate(cos(d*x+c)^2*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $419$

Giac [F(-2)]

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

integrate(cos(d*x+c)*(A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $420$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)/(a+a*cos(d*x+c))^(5/2),x, algori 
thm="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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $421$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)/(a+a*cos(d*x+c))^(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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $422$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^2/(a+a*cos(d*x+c))^(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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $423$

Giac [F(-2)]

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

integrate((A+B*cos(d*x+c)+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+a*cos(d*x+c))^(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/4.2_Cosine/209_4.2.4.2

Test file number $209$

Integral number in file $424$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{1+{\cos }^8(x)}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to find common minimal polyn 
omial Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.2_Cosine/210_4.2.7.1

Test file number $210$

Integral number in file $11$

Giac [F(-2)]

Exception generated. $$\int (b\tan (c+dx){)}^{7/2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((b*tan(d*x+c))^(7/2),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,[5,19]%%%}+%%%{8,[5,17]%%%}+%%%{28,[5,15]%%%}+%%%{56 
,[5,13]%%
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number $214$

Integral number in file $9$

Giac [F(-2)]

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

integrate((b*tan(d*x+c))^(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,[4,14]%%%}+%%%{6,[4,12]%%%}+%%%{15,[4,10]%%%}+%%%{20 
,[4,8]%%%
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number $214$

Integral number in file $10$

Giac [F(-2)]

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

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/214_4.3.0

Test file number $214$

Integral number in file $11$

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number $214$

Integral number in file $59$

Giac [F(-2)]

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

integrate(sin(b*x+a)^3*(d*tan(b*x+a))^(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.The choice 
 was done
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number $214$

Integral number in file $69$

Giac [F(-2)]

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

integrate(sin(b*x+a)*(d*tan(b*x+a))^(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.The choice 
 was done
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number $214$

Integral number in file $70$

Giac [F(-2)]

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

integrate(sin(b*x+a)^3*(d*tan(b*x+a))^(5/2),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.The choice 
 was done
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number $214$

Integral number in file $78$

Giac [F(-2)]

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

integrate(sin(b*x+a)*(d*tan(b*x+a))^(5/2),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.The choice 
 was done
 

input file name test_cases/rubi_tests/4_Trig_functions/4.3_Tangent/214_4.3.0

Test file number $214$

Integral number in file $79$

Giac [F(-2)]

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

integrate((a*sin(f*x+e))^(5/2)*(b*tan(f*x+e))^(3/2),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/214_4.3.0

Test file number $214$

Integral number in file $120$

Giac [F(-2)]

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

integrate((a*sin(f*x+e))^(3/2)*(b*tan(f*x+e))^(3/2),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/214_4.3.0

Test file number $214$

Integral number in file $121$

Giac [F(-2)]

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

integrate((b*tan(f*x+e))^(3/2)/(a*sin(f*x+e))^(3/2),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/214_4.3.0

Test file number $214$

Integral number in file $124$

Giac [F(-2)]

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

integrate((b*tan(f*x+e))^(3/2)/(a*sin(f*x+e))^(5/2),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/214_4.3.0

Test file number $214$

Integral number in file $125$