Integrals 3801 to 3900

Giac [F(-2)]

Exception generated. 1(a+asec(e+fx))3/2(c+dsec(e+fx))2dx=Exception raised: TypeError Input:

integrate(1/(a+a*sec(f*x+e))^(3/2)/(c+d*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number 235

Integral number in file 176

Giac [F(-2)]

Exception generated. 1(a+asec(e+fx))3/2(c+dsec(e+fx))3dx=Exception raised: TypeError Input:

integrate(1/(a+a*sec(f*x+e))^(3/2)/(c+d*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number 235

Integral number in file 177

Giac [F(-2)]

Exception generated. (c+dsec(e+fx))3(a+asec(e+fx))5/2dx=Exception raised: TypeError Input:

integrate((c+d*sec(f*x+e))^3/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number 235

Integral number in file 178

Giac [F(-2)]

Exception generated. (c+dsec(e+fx))2(a+asec(e+fx))5/2dx=Exception raised: TypeError Input:

integrate((c+d*sec(f*x+e))^2/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number 235

Integral number in file 179

Giac [F(-2)]

Exception generated. c+dsec(e+fx)(a+asec(e+fx))5/2dx=Exception raised: TypeError Input:

integrate((c+d*sec(f*x+e))/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number 235

Integral number in file 180

Giac [F(-2)]

Exception generated. 1(a+asec(e+fx))5/2(c+dsec(e+fx))dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number 235

Integral number in file 181

Giac [F(-2)]

Exception generated. 1(a+asec(e+fx))5/2(c+dsec(e+fx))2dx=Exception raised: TypeError Input:

integrate(1/(a+a*sec(f*x+e))^(5/2)/(c+d*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number 235

Integral number in file 182

Giac [F(-2)]

Exception generated. 1(a+asec(e+fx))5/2(c+dsec(e+fx))3dx=Exception raised: TypeError Input:

integrate(1/(a+a*sec(f*x+e))^(5/2)/(c+d*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number 235

Integral number in file 183

Giac [F(-2)]

Exception generated. (c(dsec(e+fx))p)na+asec(e+fx)dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number 235

Integral number in file 235

Giac [F(-2)]

Exception generated. (c(dsec(e+fx))p)n(a+asec(e+fx))2dx=Exception raised: TypeError Input:

integrate((c*(d*sec(f*x+e))^p)^n/(a+a*sec(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,[0,1,2,0]%%%}+%%%{-3,[0,1,0,0]%%%} / %%%{4,[0,0,0,2]%%%} 
 Error: B
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/235_4.5.2.1

Test file number 235

Integral number in file 236

Giac [F(-2)]

Exception generated. sec(e+fx)a+asec(e+fx)ccsec(e+fx)dx=Exception raised: TypeError Input:

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^(1/2)/(c-c*sec(f*x+e))^(1/2),x, algo 
rithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 110

Giac [F(-2)]

Exception generated. sec(e+fx)(a+asec(e+fx))3/2ccsec(e+fx)dx=Exception raised: TypeError Input:

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^(3/2)/(c-c*sec(f*x+e))^(1/2),x, algo 
rithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 117

Giac [F(-2)]

Exception generated. sec(e+fx)(a+asec(e+fx))3/2(ccsec(e+fx))3/2dx=Exception raised: TypeError Input:

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^(3/2)/(c-c*sec(f*x+e))^(3/2),x, algo 
rithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 118

Giac [F(-2)]

Exception generated. sec(e+fx)(a+asec(e+fx))5/2ccsec(e+fx)dx=Exception raised: TypeError Input:

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^(5/2)/(c-c*sec(f*x+e))^(1/2),x, algo 
rithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 127

Giac [F(-2)]

Exception generated. sec(e+fx)(a+asec(e+fx))5/2(ccsec(e+fx))3/2dx=Exception raised: TypeError Input:

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^(5/2)/(c-c*sec(f*x+e))^(3/2),x, algo 
rithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 128

Giac [F(-2)]

Exception generated. sec(e+fx)(a+asec(e+fx))5/2(ccsec(e+fx))5/2dx=Exception raised: TypeError Input:

integrate(sec(f*x+e)*(a+a*sec(f*x+e))^(5/2)/(c-c*sec(f*x+e))^(5/2),x, algo 
rithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 129

Giac [F(-2)]

Exception generated. (gsec(e+fx))p(ccsec(e+fx))a+asec(e+fx)dx=Exception raised: TypeError Input:

integrate((g*sec(f*x+e))^p*(c-c*sec(f*x+e))/(a+a*sec(f*x+e)),x, algorithm= 
"giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 176

Giac [F(-2)]

Exception generated. (gsec(e+fx))p(ccsec(e+fx))(a+asec(e+fx))2dx=Exception raised: TypeError Input:

integrate((g*sec(f*x+e))^p*(c-c*sec(f*x+e))/(a+a*sec(f*x+e))^2,x, algorith 
m="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 177

Giac [F(-2)]

Exception generated. sec2(e+fx)a+asec(e+fx)ccsec(e+fx)dx=Exception raised: TypeError Input:

integrate(sec(f*x+e)^2/(a+a*sec(f*x+e))^(1/2)/(c-c*sec(f*x+e))^(1/2),x, al 
gorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 183

Giac [F(-2)]

Exception generated. sec(e+fx)a+asec(e+fx)(c+dsec(e+fx))dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 240

Giac [F(-2)]

Exception generated. sec2(e+fx)a+asec(e+fx)(c+dsec(e+fx))dx=Exception raised: TypeError Input:

integrate(sec(f*x+e)^2/(a+a*sec(f*x+e))^(1/2)/(c+d*sec(f*x+e)),x, algorith 
m="giac")
                                                                                    
                                                                                    
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 241

Giac [F(-2)]

Exception generated. (gsec(e+fx))3/2a+asec(e+fx)(c+dsec(e+fx))dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 242

Giac [F(-2)]

Exception generated. (gsec(e+fx))5/2a+asec(e+fx)(c+dsec(e+fx))dx=Exception raised: RuntimeError Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/236_4.5.2.3

Test file number 236

Integral number in file 243

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)a+asec(c+dx)dx=Exception raised: TypeError Input:

integrate((A+B*sec(d*x+c))/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/237_4.5.3.1

Test file number 237

Integral number in file 148

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)(a+asec(c+dx))3/2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/237_4.5.3.1

Test file number 237

Integral number in file 156

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)(a+asec(c+dx))5/2dx=Exception raised: TypeError Input:

integrate((A+B*sec(d*x+c))/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/237_4.5.3.1

Test file number 237

Integral number in file 164

Giac [F(-2)]

Exception generated. sec72(c+dx)(A+Bsec(c+dx))(a+asec(c+dx))3/2dx=Exception raised: RuntimeError Input:

integrate(sec(d*x+c)^(7/2)*(A+B*sec(d*x+c))/(a+a*sec(d*x+c))^(3/2),x, algo 
rithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%{[ 
%%%{%%{[23574053482485268906770432,0]:[1,0,-2]%%},[16]%%%},0]:[1,0,%%%{-1, 
[1]%%%}]%%},
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/237_4.5.3.1

Test file number 237

Integral number in file 255

Giac [F(-2)]

Exception generated. sec32(c+dx)(A+Bsec(c+dx))(a+asec(c+dx))3/2dx=Exception raised: RuntimeError Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/237_4.5.3.1

Test file number 237

Integral number in file 257

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)sec52(c+dx)(a+asec(c+dx))3/2dx=Exception raised: RuntimeError Input:

integrate((A+B*sec(d*x+c))/sec(d*x+c)^(5/2)/(a+a*sec(d*x+c))^(3/2),x, algo 
rithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/237_4.5.3.1

Test file number 237

Integral number in file 261

Giac [F(-2)]

Exception generated. sec32(c+dx)(A+Bsec(c+dx))(a+asec(c+dx))5/2dx=Exception raised: RuntimeError Input:

integrate(sec(d*x+c)^(3/2)*(A+B*sec(d*x+c))/(a+a*sec(d*x+c))^(5/2),x, algo 
rithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Warning, need to choose a branch for the root of a poly 
nomial with parameters. This might be wrong.Non regular value [0,0] was di 
scarded and
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/237_4.5.3.1

Test file number 237

Integral number in file 264

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)sec52(c+dx)(a+asec(c+dx))5/2dx=Exception raised: RuntimeError Input:

integrate((A+B*sec(d*x+c))/sec(d*x+c)^(5/2)/(a+a*sec(d*x+c))^(5/2),x, algo 
rithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/237_4.5.3.1

Test file number 237

Integral number in file 268

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)cos72(c+dx)(a+asec(c+dx))3/2dx=Exception raised: TypeError Input:

integrate((A+B*sec(d*x+c))/cos(d*x+c)^(7/2)/(a+a*sec(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:Unable to divide, perhaps due to ro 
unding error%%%{%%{[%%%{%%{[23574053482485268906770432,0]:[1,0,-2]%%},[16] 
%%%},0]:[
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/237_4.5.3.1

Test file number 237

Integral number in file 554

Giac [F(-2)]

Exception generated. A+Csec2(c+dx)a+asec(c+dx)dx=Exception raised: TypeError Input:

integrate((A+C*sec(d*x+c)^2)/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 187

Giac [F(-2)]

Exception generated. A+Csec2(c+dx)(a+asec(c+dx))3/2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 196

Giac [F(-2)]

Exception generated. A+Csec2(c+dx)(a+asec(c+dx))5/2dx=Exception raised: TypeError Input:

integrate((A+C*sec(d*x+c)^2)/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 204

Giac [F(-2)]

Exception generated. sec32(c+dx)(A+Csec2(c+dx))(a+asec(c+dx))3/2dx=Exception raised: RuntimeError Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 284

Giac [F(-2)]

Exception generated. A+Csec2(c+dx)sec52(c+dx)(a+asec(c+dx))3/2dx=Exception raised: RuntimeError Input:

integrate((A+C*sec(d*x+c)^2)/sec(d*x+c)^(5/2)/(a+a*sec(d*x+c))^(3/2),x, al 
gorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 288

Giac [F(-2)]

Exception generated. sec52(c+dx)(A+Csec2(c+dx))(a+asec(c+dx))5/2dx=Exception raised: RuntimeError Input:

integrate(sec(d*x+c)^(5/2)*(A+C*sec(d*x+c)^2)/(a+a*sec(d*x+c))^(5/2),x, al 
gorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Error index.cc index_gcd Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 289

Giac [F(-2)]

Exception generated. sec32(c+dx)(A+Csec2(c+dx))(a+asec(c+dx))5/2dx=Exception raised: RuntimeError Input:

integrate(sec(d*x+c)^(3/2)*(A+C*sec(d*x+c)^2)/(a+a*sec(d*x+c))^(5/2),x, al 
gorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Warning, need to choose a branch for the root of a poly 
nomial with parameters. This might be wrong.Non regular value [0,0] was di 
scarded and
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 290

Giac [F(-2)]

Exception generated. A+Csec2(c+dx)sec52(c+dx)(a+asec(c+dx))5/2dx=Exception raised: RuntimeError Input:

integrate((A+C*sec(d*x+c)^2)/sec(d*x+c)^(5/2)/(a+a*sec(d*x+c))^(5/2),x, al 
gorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 294

Giac [F(-2)]

Exception generated. cos(c+dx)(Bsec(c+dx)+Csec2(c+dx))a+asec(c+dx)dx=Exception raised: TypeError Input:

integrate(cos(d*x+c)*(B*sec(d*x+c)+C*sec(d*x+c)^2)/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 389

Giac [F(-2)]

Exception generated. cos(c+dx)(Bsec(c+dx)+Csec2(c+dx))(a+asec(c+dx))3/2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 398

Giac [F(-2)]

Exception generated. cos(c+dx)(Bsec(c+dx)+Csec2(c+dx))(a+asec(c+dx))5/2dx=Exception raised: TypeError Input:

integrate(cos(d*x+c)*(B*sec(d*x+c)+C*sec(d*x+c)^2)/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 406

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)+Csec2(c+dx)a+asec(c+dx)dx=Exception raised: TypeError Input:

integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 514

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)+Csec2(c+dx)(a+asec(c+dx))3/2dx=Exception raised: TypeError Input:

integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 523

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)+Csec2(c+dx)(a+asec(c+dx))5/2dx=Exception raised: TypeError Input:

integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/(a+a*sec(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:index.cc index_m i_lex_is_greater E 
rror: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 531

Giac [F(-2)]

Exception generated. sec52(c+dx)(A+Bsec(c+dx)+Csec2(c+dx))(a+asec(c+dx))3/2dx=Exception raised: RuntimeError Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%{[ 
%%%{%%{[23574053482485268906770432,0]:[1,0,-2]%%},[16]%%%},0]:[1,0,%%%{-1, 
[1]%%%}]%%},
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 613

Giac [F(-2)]

Exception generated. sec32(c+dx)(A+Bsec(c+dx)+Csec2(c+dx))(a+asec(c+dx))3/2dx=Exception raised: RuntimeError Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 614

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)+Csec2(c+dx)sec52(c+dx)(a+asec(c+dx))3/2dx=Exception raised: RuntimeError Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 618

Giac [F(-2)]

Exception generated. sec32(c+dx)(A+Bsec(c+dx)+Csec2(c+dx))(a+asec(c+dx))5/2dx=Exception raised: RuntimeError Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Warning, need to choose a branch for the root of a poly 
nomial with parameters. This might be wrong.Non regular value [0,0] was di 
scarded and
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 620

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)+Csec2(c+dx)sec52(c+dx)(a+asec(c+dx))5/2dx=Exception raised: RuntimeError Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:index.cc index_m i_lex_is_greater Error: Bad Argument V 
alue
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 624

Giac [F(-2)]

Exception generated. A+Csec2(c+dx)cos32(c+dx)(a+asec(c+dx))3/2dx=Exception raised: TypeError Input:

integrate((A+C*sec(d*x+c)^2)/cos(d*x+c)^(3/2)/(a+a*sec(d*x+c))^(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 index.cc index_gcd Error: Bad 
 Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 1165

Giac [F(-2)]

Exception generated. A+Csec2(c+dx)cos52(c+dx)(a+asec(c+dx))3/2dx=Exception raised: TypeError Input:

integrate((A+C*sec(d*x+c)^2)/cos(d*x+c)^(5/2)/(a+a*sec(d*x+c))^(3/2),x, al 
gorithm="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 extensionUnable 
to divide
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 1166

Giac [F(-2)]

Exception generated. A+Csec2(c+dx)cos52(c+dx)(a+asec(c+dx))5/2dx=Exception raised: TypeError Input:

integrate((A+C*sec(d*x+c)^2)/cos(d*x+c)^(5/2)/(a+a*sec(d*x+c))^(5/2),x, al 
gorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 1172

Giac [F(-2)]

Exception generated. A+Bsec(c+dx)+Csec2(c+dx)cos52(c+dx)(a+asec(c+dx))3/2dx=Exception raised: TypeError Input:

integrate((A+B*sec(d*x+c)+C*sec(d*x+c)^2)/cos(d*x+c)^(5/2)/(a+a*sec(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:Degree mismatch inside factorisatio 
n over extensionDegree mismatch inside factorisation over extensionDegree 
mismatch
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/239_4.5.4.2

Test file number 239

Integral number in file 1285

Giac [F(-2)]

Exception generated. csc(e+fx)(a+bsec2(e+fx))3/2dx=Exception raised: TypeError Input:

integrate(csc(f*x+e)*(a+b*sec(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/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 83

Giac [F(-2)]

Exception generated. csc3(e+fx)(a+bsec2(e+fx))3/2dx=Exception raised: TypeError Input:

integrate(csc(f*x+e)^3*(a+b*sec(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:Unable to divide, perhaps due to ro 
unding error%%%{%%{[%%%{16384,[5,4]%%%},0]:[1,0,%%%{-1,[1,0]%%%}+%%%{-1,[0 
,1]%%%}]%
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 84

Giac [F(-2)]

Exception generated. csc5(e+fx)(a+bsec2(e+fx))3/2dx=Exception raised: TypeError Input:

integrate(csc(f*x+e)^5*(a+b*sec(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:Unable to divide, perhaps due to ro 
unding error%%%{%%%{262144,[6,6]%%%},[12]%%%}+%%%{%%{[%%%{1572864,[6,6]%%% 
},0]:[1,0
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 85

Giac [F(-2)]

Exception generated. cot3(e+fx)(a+bsec2(e+fx))3/2dx=Exception raised: TypeError Input:

integrate(cot(f*x+e)^3*(a+b*sec(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/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 393

Giac [F(-2)]

Exception generated. cot5(e+fx)(a+bsec2(e+fx))3/2dx=Exception raised: TypeError Input:

integrate(cot(f*x+e)^5*(a+b*sec(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/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 394

Giac [F(-2)]

Exception generated. cot(e+fx)(a+bsec2(e+fx))3/2dx=Exception raised: TypeError Input:

integrate(cot(f*x+e)/(a+b*sec(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/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 418

Giac [F(-2)]

Exception generated. cot(e+fx)(a+bsec2(e+fx))5/2dx=Exception raised: TypeError Input:

integrate(cot(f*x+e)/(a+b*sec(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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 431

Giac [F(-2)]

Exception generated. cot(e+fx)(a+bsec2(e+fx))pdx=Exception raised: RuntimeError Input:

integrate(cot(f*x+e)*(a+b*sec(f*x+e)^2)^p,x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,1,2,0]%%%}+%%%{1,[0,1,0,0]%%%} / %%%{2,[0,0,0,2]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 445

Giac [F(-2)]

Exception generated. cot3(e+fx)(a+bsec2(e+fx))pdx=Exception raised: RuntimeError Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[0 
,1,2,0]%%%}+%%%{2,[0,1,0,0]%%%} / %%%{2,[0,0,0,2]%%%} Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 446

Giac [F(-2)]

Exception generated. (a+bsec2(e+fx))ptan4(e+fx)dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 447

Giac [F(-2)]

Exception generated. (a+bsec2(e+fx))ptan2(e+fx)dx=Exception raised: TypeError Input:

integrate((a+b*sec(f*x+e)^2)^p*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,[0,1,0]%%%} / %%%{1,[0,0,1]%%%} Error: Bad Argument Valu 
e
 

input file name test_cases/rubi_tests/4_Trig_functions/4.5_Secant/240_4.5.4.7

Test file number 240

Integral number in file 448

Giac [F(-2)]

Exception generated. 1acsc4(x)dx=Exception raised: TypeError Input:

integrate(1/(a*csc(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/4.6_Cosecant/243_4.6.0

Test file number 243

Integral number in file 65

Giac [F(-2)]

Exception generated. 1(acsc4(x))3/2dx=Exception raised: TypeError Input:

integrate(1/(a*csc(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/4.6_Cosecant/243_4.6.0

Test file number 243

Integral number in file 66

Giac [F(-2)]

Exception generated. 1(acsc4(x))5/2dx=Exception raised: TypeError Input:

integrate(1/(a*csc(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: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/4.6_Cosecant/243_4.6.0

Test file number 243

Integral number in file 67

Giac [F(-2)]

Exception generated. csc(e+fx)a+acsc(e+fx)dx=Exception raised: TypeError Input:

integrate(csc(f*x+e)^(1/2)*(a+a*csc(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:Limit: Max order reached or unable 
to make series expansion Error: Bad Argument Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.6_Cosecant/244_4.6.1.2

Test file number 244

Integral number in file 19

Giac [F(-2)]

Exception generated. csc43(c+dx)a+acsc(c+dx)dx=Exception raised: TypeError Input:

integrate(csc(d*x+c)^(4/3)*(a+a*csc(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%%%{2,[0,1,1,1,0]%%%} / %%%{1,[0,0,0,0,1]%%%} Error: Bad Argum 
ent Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.6_Cosecant/244_4.6.1.2

Test file number 244

Integral number in file 21

Giac [F(-2)]

Exception generated. csc53(c+dx)a+acsc(c+dx)dx=Exception raised: TypeError Input:

integrate(csc(d*x+c)^(5/3)*(a+a*csc(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%%%{2,[0,2,1,2,0]%%%} / %%%{1,[0,0,0,0,1]%%%} Error: Bad Argum 
ent Value
 

input file name test_cases/rubi_tests/4_Trig_functions/4.6_Cosecant/244_4.6.1.2

Test file number 244

Integral number in file 24

Giac [F(-2)]

Exception generated. (a+bcsc2(c+dx))5/2dx=Exception raised: TypeError Input:

integrate((a+b*csc(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/4.6_Cosecant/249_4.6.7

Test file number 249

Integral number in file 9

Giac [F(-2)]

Exception generated. (a+bcsc2(c+dx))3/2dx=Exception raised: TypeError Input:

integrate((a+b*csc(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/4.6_Cosecant/249_4.6.7

Test file number 249

Integral number in file 10

Giac [F(-2)]

Exception generated. a+bcsc2(c+dx)dx=Exception raised: TypeError Input:

integrate((a+b*csc(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/4.6_Cosecant/249_4.6.7

Test file number 249

Integral number in file 11

Giac [F(-2)]

Exception generated. 1a+bcsc2(c+dx)dx=Exception raised: TypeError Input:

integrate(1/(a+b*csc(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/4.6_Cosecant/249_4.6.7

Test file number 249

Integral number in file 12

Giac [F(-2)]

Exception generated. 1(a+bcsc2(c+dx))3/2dx=Exception raised: TypeError Input:

integrate(1/(a+b*csc(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/4.6_Cosecant/249_4.6.7

Test file number 249

Integral number in file 13

Giac [F(-2)]

Exception generated. (1csc2(x))3/2dx=Exception raised: NotImplementedError Input:

integrate((-1-csc(x)^2)^(3/2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: Recu 
rsive assumption sageVARx>=(-2*pi/2) ignoredRecursive assumption sageVARx< 
=(2*pi/2) ignoredi*2*(-1/16*sqrt(tan(1/2*sageVARx)^4+6*tan(1/2*sageVARx)^2 
+1)*sign(sin(sageVA
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/4_Trig_functions/4.6_Cosecant/249_4.6.7

Test file number 249

Integral number in file 25

Giac [F(-2)]

Exception generated. 1csc2(x)dx=Exception raised: NotImplementedError Input:

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: i/2* 
(2*(2*atan(1/2*(-tan(1/2*sageVARx)^2+sqrt(tan(1/2*sageVARx)^4+6*tan(1/2*sa 
geVARx)^2+1)-1))-1/2*ln(-tan(1/2*sageVARx)^2+sqrt(tan(1/2*sageVARx)^4+6*ta 
n(1/2*sageVARx)^2+1
 

input file name test_cases/rubi_tests/4_Trig_functions/4.6_Cosecant/249_4.6.7

Test file number 249

Integral number in file 26

Giac [F(-2)]

Exception generated. A+Bsec(x)a+acos(x)dx=Exception raised: TypeError Input:

integrate((A+B*sec(x))/(a+a*cos(x))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 118

Giac [F(-2)]

Exception generated. A+Bsec(x)(a+acos(x))3/2dx=Exception raised: TypeError Input:

integrate((A+B*sec(x))/(a+a*cos(x))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 119

Giac [F(-2)]

Exception generated. A+Bsec(x)(a+acos(x))5/2dx=Exception raised: TypeError Input:

integrate((A+B*sec(x))/(a+a*cos(x))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 120

Giac [F(-2)]

Exception generated. (b2+c2+bcos(d+ex)+csin(d+ex))7/2dx=Exception raised: TypeError Input:

integrate(((b^2+c^2)^(1/2)+b*cos(e*x+d)+c*sin(e*x+d))^(7/2),x, algorithm=" 
giac")
 

Output:

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

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number 254

Integral number in file 357

Giac [F(-2)]

Exception generated. (b2+c2+bcos(d+ex)+csin(d+ex))5/2dx=Exception raised: TypeError Input:

integrate(((b^2+c^2)^(1/2)+b*cos(e*x+d)+c*sin(e*x+d))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 358

Giac [F(-2)]

Exception generated. (b2+c2+bcos(d+ex)+csin(d+ex))3/2dx=Exception raised: TypeError Input:

integrate(((b^2+c^2)^(1/2)+b*cos(e*x+d)+c*sin(e*x+d))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 359

Giac [F(-2)]

Exception generated. b2+c2+bcos(d+ex)+csin(d+ex)dx=Exception raised: TypeError Input:

integrate(((b^2+c^2)^(1/2)+b*cos(e*x+d)+c*sin(e*x+d))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 360

Giac [F(-2)]

Exception generated. 1b2+c2+bcos(d+ex)+csin(d+ex)dx=Exception raised: TypeError Input:

integrate(1/((b^2+c^2)^(1/2)+b*cos(e*x+d)+c*sin(e*x+d))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 361

Giac [F(-2)]

Exception generated. (b2+c2+bcos(d+ex)+csin(d+ex))5/2dx=Exception raised: TypeError Input:

integrate((-(b^2+c^2)^(1/2)+b*cos(e*x+d)+c*sin(e*x+d))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 364

Giac [F(-2)]

Exception generated. (b2+c2+bcos(d+ex)+csin(d+ex))3/2dx=Exception raised: TypeError Input:

integrate((-(b^2+c^2)^(1/2)+b*cos(e*x+d)+c*sin(e*x+d))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 365

Giac [F(-2)]

Exception generated. b2+c2+bcos(d+ex)+csin(d+ex)dx=Exception raised: TypeError Input:

integrate((-(b^2+c^2)^(1/2)+b*cos(e*x+d)+c*sin(e*x+d))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 366

Giac [F(-2)]

Exception generated. 1b2+c2+bcos(d+ex)+csin(d+ex)dx=Exception raised: TypeError Input:

integrate(1/(-(b^2+c^2)^(1/2)+b*cos(e*x+d)+c*sin(e*x+d))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 367

Giac [F(-2)]

Exception generated. sin(100x)+sin(101x)cos(100x)cos(101x)dx=Exception raised: TypeError Input:

integrate((sin(100*x)+sin(101*x))/(cos(100*x)-cos(101*x)),x, algorithm="gi 
ac")
 

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%%%{540174450688*i,[1,0,16]%%%}+%%%{1080348901376*i,[1,0,14]%% 
%}+%%%{94
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number 254

Integral number in file 427

Giac [F(-2)]

Exception generated. sin(100x)sin(101x)cos(100x)cos(101x)dx=Exception raised: TypeError Input:

integrate((sin(100*x)-sin(101*x))/(cos(100*x)-cos(101*x)),x, algorithm="gi 
ac")
 

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%%%{540174450688*i,[1,0,16]%%%}+%%%{1080348901376*i,[1,0,14]%% 
%}+%%%{94
 

input file name test_cases/rubi_tests/4_Trig_functions/4_Miscellaneous/254_4.0

Test file number 254

Integral number in file 429

Giac [F(-2)]

Exception generated. sec4(2(a+bx))ctan(a+bx)tan(2(a+bx))dx=Exception raised: TypeError Input:

integrate(sec(2*b*x+2*a)^4*(c*tan(b*x+a)*tan(2*b*x+2*a))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 546

Giac [F(-2)]

Exception generated. sec3(2(a+bx))ctan(a+bx)tan(2(a+bx))dx=Exception raised: TypeError Input:

integrate(sec(2*b*x+2*a)^3*(c*tan(b*x+a)*tan(2*b*x+2*a))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 547

Giac [F(-2)]

Exception generated. sec2(2(a+bx))ctan(a+bx)tan(2(a+bx))dx=Exception raised: TypeError Input:

integrate(sec(2*b*x+2*a)^2*(c*tan(b*x+a)*tan(2*b*x+2*a))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 548

Giac [F(-2)]

Exception generated. sec(2(a+bx))ctan(a+bx)tan(2(a+bx))dx=Exception raised: TypeError Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 549

Giac [F(-2)]

Exception generated. ctan(a+bx)tan(2(a+bx))dx=Exception raised: TypeError Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 550

Giac [F(-2)]

Exception generated. cos(2(a+bx))ctan(a+bx)tan(2(a+bx))dx=Exception raised: TypeError Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 551

Giac [F(-2)]

Exception generated. cos2(2(a+bx))ctan(a+bx)tan(2(a+bx))dx=Exception raised: TypeError Input:

integrate(cos(2*b*x+2*a)^2*(c*tan(b*x+a)*tan(2*b*x+2*a))^(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_Miscellaneous/254_4.0

Test file number 254

Integral number in file 552