Exception generated. \[ \int \frac {1}{(a+a \sec (e+f x))^{3/2} (c+d \sec (e+f x))^2} \, dx=\text {Exception raised: TypeError} \] 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 \(176\)
Exception generated. \[ \int \frac {1}{(a+a \sec (e+f x))^{3/2} (c+d \sec (e+f x))^3} \, dx=\text {Exception raised: TypeError} \] 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 \(177\)
Exception generated. \[ \int \frac {(c+d \sec (e+f x))^3}{(a+a \sec (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(178\)
Exception generated. \[ \int \frac {(c+d \sec (e+f x))^2}{(a+a \sec (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(179\)
Exception generated. \[ \int \frac {c+d \sec (e+f x)}{(a+a \sec (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(180\)
Exception generated. \[ \int \frac {1}{(a+a \sec (e+f x))^{5/2} (c+d \sec (e+f x))} \, dx=\text {Exception raised: TypeError} \] 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 \(181\)
Exception generated. \[ \int \frac {1}{(a+a \sec (e+f x))^{5/2} (c+d \sec (e+f x))^2} \, dx=\text {Exception raised: TypeError} \] 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 \(182\)
Exception generated. \[ \int \frac {1}{(a+a \sec (e+f x))^{5/2} (c+d \sec (e+f x))^3} \, dx=\text {Exception raised: TypeError} \] 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 \(183\)
Exception generated. \[ \int \frac {\left (c (d \sec (e+f x))^p\right )^n}{a+a \sec (e+f x)} \, dx=\text {Exception raised: TypeError} \] 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 \(235\)
Exception generated. \[ \int \frac {\left (c (d \sec (e+f x))^p\right )^n}{(a+a \sec (e+f x))^2} \, dx=\text {Exception raised: TypeError} \] 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 \(236\)
Exception generated. \[ \int \frac {\sec (e+f x) \sqrt {a+a \sec (e+f x)}}{\sqrt {c-c \sec (e+f x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(110\)
Exception generated. \[ \int \frac {\sec (e+f x) (a+a \sec (e+f x))^{3/2}}{\sqrt {c-c \sec (e+f x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(117\)
Exception generated. \[ \int \frac {\sec (e+f x) (a+a \sec (e+f x))^{3/2}}{(c-c \sec (e+f x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(118\)
Exception generated. \[ \int \frac {\sec (e+f x) (a+a \sec (e+f x))^{5/2}}{\sqrt {c-c \sec (e+f x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(127\)
Exception generated. \[ \int \frac {\sec (e+f x) (a+a \sec (e+f x))^{5/2}}{(c-c \sec (e+f x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(128\)
Exception generated. \[ \int \frac {\sec (e+f x) (a+a \sec (e+f x))^{5/2}}{(c-c \sec (e+f x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(129\)
Exception generated. \[ \int \frac {(g \sec (e+f x))^p (c-c \sec (e+f x))}{a+a \sec (e+f x)} \, dx=\text {Exception raised: TypeError} \] 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 \(176\)
Exception generated. \[ \int \frac {(g \sec (e+f x))^p (c-c \sec (e+f x))}{(a+a \sec (e+f x))^2} \, dx=\text {Exception raised: TypeError} \] 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 \(177\)
Exception generated. \[ \int \frac {\sec ^2(e+f x)}{\sqrt {a+a \sec (e+f x)} \sqrt {c-c \sec (e+f x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(183\)
Exception generated. \[ \int \frac {\sec (e+f x)}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx=\text {Exception raised: TypeError} \] 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 \(240\)
Exception generated. \[ \int \frac {\sec ^2(e+f x)}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx=\text {Exception raised: TypeError} \] 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 \(241\)
Exception generated. \[ \int \frac {(g \sec (e+f x))^{3/2}}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx=\text {Exception raised: TypeError} \] 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 \(242\)
Exception generated. \[ \int \frac {(g \sec (e+f x))^{5/2}}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx=\text {Exception raised: RuntimeError} \] 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 \(243\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)}{\sqrt {a+a \sec (c+d x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(148\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(156\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(164\)
Exception generated. \[ \int \frac {\sec ^{\frac {7}{2}}(c+d x) (A+B \sec (c+d x))}{(a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(255\)
Exception generated. \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) (A+B \sec (c+d x))}{(a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(257\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)}{\sec ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(261\)
Exception generated. \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) (A+B \sec (c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(264\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)}{\sec ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(268\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)}{\cos ^{\frac {7}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(554\)
Exception generated. \[ \int \frac {A+C \sec ^2(c+d x)}{\sqrt {a+a \sec (c+d x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(187\)
Exception generated. \[ \int \frac {A+C \sec ^2(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(196\)
Exception generated. \[ \int \frac {A+C \sec ^2(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(204\)
Exception generated. \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) \left (A+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(284\)
Exception generated. \[ \int \frac {A+C \sec ^2(c+d x)}{\sec ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(288\)
Exception generated. \[ \int \frac {\sec ^{\frac {5}{2}}(c+d x) \left (A+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(289\)
Exception generated. \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) \left (A+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(290\)
Exception generated. \[ \int \frac {A+C \sec ^2(c+d x)}{\sec ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(294\)
Exception generated. \[ \int \frac {\cos (c+d x) \left (B \sec (c+d x)+C \sec ^2(c+d x)\right )}{\sqrt {a+a \sec (c+d x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(389\)
Exception generated. \[ \int \frac {\cos (c+d x) \left (B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(398\)
Exception generated. \[ \int \frac {\cos (c+d x) \left (B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(406\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)+C \sec ^2(c+d x)}{\sqrt {a+a \sec (c+d x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(514\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)+C \sec ^2(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(523\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)+C \sec ^2(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(531\)
Exception generated. \[ \int \frac {\sec ^{\frac {5}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(613\)
Exception generated. \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(614\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)+C \sec ^2(c+d x)}{\sec ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(618\)
Exception generated. \[ \int \frac {\sec ^{\frac {3}{2}}(c+d x) \left (A+B \sec (c+d x)+C \sec ^2(c+d x)\right )}{(a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(620\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)+C \sec ^2(c+d x)}{\sec ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] 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 \(624\)
Exception generated. \[ \int \frac {A+C \sec ^2(c+d x)}{\cos ^{\frac {3}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(1165\)
Exception generated. \[ \int \frac {A+C \sec ^2(c+d x)}{\cos ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(1166\)
Exception generated. \[ \int \frac {A+C \sec ^2(c+d x)}{\cos ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(1172\)
Exception generated. \[ \int \frac {A+B \sec (c+d x)+C \sec ^2(c+d x)}{\cos ^{\frac {5}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(1285\)
Exception generated. \[ \int \csc (e+f x) \left (a+b \sec ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \] 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 \(83\)
Exception generated. \[ \int \csc ^3(e+f x) \left (a+b \sec ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \] 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 \(84\)
Exception generated. \[ \int \csc ^5(e+f x) \left (a+b \sec ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \] 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 \(85\)
Exception generated. \[ \int \cot ^3(e+f x) \left (a+b \sec ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \] 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 \(393\)
Exception generated. \[ \int \cot ^5(e+f x) \left (a+b \sec ^2(e+f x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \] 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 \(394\)
Exception generated. \[ \int \frac {\cot (e+f x)}{\left (a+b \sec ^2(e+f x)\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(418\)
Exception generated. \[ \int \frac {\cot (e+f x)}{\left (a+b \sec ^2(e+f x)\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(431\)
Exception generated. \[ \int \cot (e+f x) \left (a+b \sec ^2(e+f x)\right )^p \, dx=\text {Exception raised: RuntimeError} \] 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 \(445\)
Exception generated. \[ \int \cot ^3(e+f x) \left (a+b \sec ^2(e+f x)\right )^p \, dx=\text {Exception raised: RuntimeError} \] 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 \(446\)
Exception generated. \[ \int \left (a+b \sec ^2(e+f x)\right )^p \tan ^4(e+f x) \, dx=\text {Exception raised: TypeError} \] 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 \(447\)
Exception generated. \[ \int \left (a+b \sec ^2(e+f x)\right )^p \tan ^2(e+f x) \, dx=\text {Exception raised: TypeError} \] 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 \(448\)
Exception generated. \[ \int \frac {1}{\sqrt {a \csc ^4(x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(65\)
Exception generated. \[ \int \frac {1}{\left (a \csc ^4(x)\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(66\)
Exception generated. \[ \int \frac {1}{\left (a \csc ^4(x)\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(67\)
Exception generated. \[ \int \sqrt {\csc (e+f x)} \sqrt {a+a \csc (e+f x)} \, dx=\text {Exception raised: TypeError} \] 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 \(19\)
Exception generated. \[ \int \csc ^{\frac {4}{3}}(c+d x) \sqrt {a+a \csc (c+d x)} \, dx=\text {Exception raised: TypeError} \] 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 \(21\)
Exception generated. \[ \int \csc ^{\frac {5}{3}}(c+d x) \sqrt {a+a \csc (c+d x)} \, dx=\text {Exception raised: TypeError} \] 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 \(24\)
Exception generated. \[ \int \left (a+b \csc ^2(c+d x)\right )^{5/2} \, dx=\text {Exception raised: TypeError} \] 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 \(9\)
Exception generated. \[ \int \left (a+b \csc ^2(c+d x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \] 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 \(10\)
Exception generated. \[ \int \sqrt {a+b \csc ^2(c+d x)} \, dx=\text {Exception raised: TypeError} \] 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 \(11\)
Exception generated. \[ \int \frac {1}{\sqrt {a+b \csc ^2(c+d x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(12\)
Exception generated. \[ \int \frac {1}{\left (a+b \csc ^2(c+d x)\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(13\)
Exception generated. \[ \int \left (-1-\csc ^2(x)\right )^{3/2} \, dx=\text {Exception raised: NotImplementedError} \] 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 \(25\)
Exception generated. \[ \int \sqrt {-1-\csc ^2(x)} \, dx=\text {Exception raised: NotImplementedError} \] 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 \(26\)
Exception generated. \[ \int \frac {A+B \sec (x)}{\sqrt {a+a \cos (x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(118\)
Exception generated. \[ \int \frac {A+B \sec (x)}{(a+a \cos (x))^{3/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(119\)
Exception generated. \[ \int \frac {A+B \sec (x)}{(a+a \cos (x))^{5/2}} \, dx=\text {Exception raised: TypeError} \] 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 \(120\)
Exception generated. \[ \int \left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{7/2} \, dx=\text {Exception raised: TypeError} \] 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 \(357\)
Exception generated. \[ \int \left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{5/2} \, dx=\text {Exception raised: TypeError} \] 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 \(358\)
Exception generated. \[ \int \left (\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \] 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 \(359\)
Exception generated. \[ \int \sqrt {\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)} \, dx=\text {Exception raised: TypeError} \] 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 \(360\)
Exception generated. \[ \int \frac {1}{\sqrt {\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(361\)
Exception generated. \[ \int \left (-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{5/2} \, dx=\text {Exception raised: TypeError} \] 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 \(364\)
Exception generated. \[ \int \left (-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)\right )^{3/2} \, dx=\text {Exception raised: TypeError} \] 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 \(365\)
Exception generated. \[ \int \sqrt {-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)} \, dx=\text {Exception raised: TypeError} \] 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 \(366\)
Exception generated. \[ \int \frac {1}{\sqrt {-\sqrt {b^2+c^2}+b \cos (d+e x)+c \sin (d+e x)}} \, dx=\text {Exception raised: TypeError} \] 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 \(367\)
Exception generated. \[ \int \frac {\sin (100 x)+\sin (101 x)}{\cos (100 x)-\cos (101 x)} \, dx=\text {Exception raised: TypeError} \] 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 \(427\)
Exception generated. \[ \int \frac {\sin (100 x)-\sin (101 x)}{\cos (100 x)-\cos (101 x)} \, dx=\text {Exception raised: TypeError} \] 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 \(429\)
Exception generated. \[ \int \sec ^4(2 (a+b x)) \sqrt {c \tan (a+b x) \tan (2 (a+b x))} \, dx=\text {Exception raised: TypeError} \] 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 \(546\)
Exception generated. \[ \int \sec ^3(2 (a+b x)) \sqrt {c \tan (a+b x) \tan (2 (a+b x))} \, dx=\text {Exception raised: TypeError} \] 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 \(547\)
Exception generated. \[ \int \sec ^2(2 (a+b x)) \sqrt {c \tan (a+b x) \tan (2 (a+b x))} \, dx=\text {Exception raised: TypeError} \] 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 \(548\)
Exception generated. \[ \int \sec (2 (a+b x)) \sqrt {c \tan (a+b x) \tan (2 (a+b x))} \, dx=\text {Exception raised: TypeError} \] 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 \(549\)
Exception generated. \[ \int \sqrt {c \tan (a+b x) \tan (2 (a+b x))} \, dx=\text {Exception raised: TypeError} \] 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 \(550\)
Exception generated. \[ \int \cos (2 (a+b x)) \sqrt {c \tan (a+b x) \tan (2 (a+b x))} \, dx=\text {Exception raised: TypeError} \] 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 \(551\)
Exception generated. \[ \int \cos ^2(2 (a+b x)) \sqrt {c \tan (a+b x) \tan (2 (a+b x))} \, dx=\text {Exception raised: TypeError} \] 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 \(552\)