Exception generated. \[ \int \frac {\left (1-c^2 x^2\right )^{5/2}}{x (a+b \arccos (c x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*x^2+1)^(5/2)/x/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(339\)
Exception generated. \[ \int \frac {\left (1-c^2 x^2\right )^{5/2}}{x^3 (a+b \arccos (c x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*x^2+1)^(5/2)/x^3/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(341\)
Exception generated. \[ \int \frac {x^3}{\sqrt {1-a^2 x^2} \arccos (a x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^3/(-a^2*x^2+1)^(1/2)/arccos(a*x),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(344\)
Exception generated. \[ \int \frac {x^5}{\sqrt {1-c^2 x^2} (a+b \arccos (c x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^5/(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(351\)
Exception generated. \[ \int \frac {x^3}{\sqrt {1-c^2 x^2} (a+b \arccos (c x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^3/(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(353\)
Exception generated. \[ \int \frac {1}{x \sqrt {1-c^2 x^2} (a+b \arccos (c x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/x/(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(357\)
Exception generated. \[ \int \frac {x}{\left (1-c^2 x^2\right )^{3/2} (a+b \arccos (c x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x/(-c^2*x^2+1)^(3/2)/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(360\)
Exception generated. \[ \int \frac {1}{x \left (1-c^2 x^2\right )^{3/2} (a+b \arccos (c x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/x/(-c^2*x^2+1)^(3/2)/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(362\)
Exception generated. \[ \int \frac {x}{\left (1-c^2 x^2\right )^{5/2} (a+b \arccos (c x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x/(-c^2*x^2+1)^(5/2)/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(365\)
Exception generated. \[ \int \frac {1}{x \left (1-c^2 x^2\right )^{5/2} (a+b \arccos (c x))} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/x/(-c^2*x^2+1)^(5/2)/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(367\)
Exception generated. \[ \int \frac {x^m \left (1-c^2 x^2\right )^{5/2}}{a+b \arccos (c x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^m*(-c^2*x^2+1)^(5/2)/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(369\)
Exception generated. \[ \int \frac {x^m \left (1-c^2 x^2\right )^{3/2}}{a+b \arccos (c x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^m*(-c^2*x^2+1)^(3/2)/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(370\)
Exception generated. \[ \int \frac {x^m \sqrt {1-c^2 x^2}}{a+b \arccos (c x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^m*(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x)),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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(371\)
Exception generated. \[ \int \frac {x^m \sqrt {1-c^2 x^2}}{(a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^m*(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(382\)
Exception generated. \[ \int \frac {x^3 \sqrt {1-c^2 x^2}}{(a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^3*(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(383\)
Exception generated. \[ \int \frac {\sqrt {1-c^2 x^2}}{x (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*x^2+1)^(1/2)/x/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(387\)
Exception generated. \[ \int \frac {\sqrt {1-c^2 x^2}}{x^3 (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*x^2+1)^(1/2)/x^3/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(389\)
Exception generated. \[ \int \frac {x^m \left (1-c^2 x^2\right )^{3/2}}{(a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^m*(-c^2*x^2+1)^(3/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(391\)
Exception generated. \[ \int \frac {\left (1-c^2 x^2\right )^{3/2}}{x (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*x^2+1)^(3/2)/x/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(396\)
Exception generated. \[ \int \frac {\left (1-c^2 x^2\right )^{3/2}}{x^3 (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*x^2+1)^(3/2)/x^3/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(398\)
Exception generated. \[ \int \frac {x^m \left (1-c^2 x^2\right )^{5/2}}{(a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^m*(-c^2*x^2+1)^(5/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(400\)
Exception generated. \[ \int \frac {\left (1-c^2 x^2\right )^{5/2}}{x (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*x^2+1)^(5/2)/x/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(405\)
Exception generated. \[ \int \frac {\left (1-c^2 x^2\right )^{5/2}}{x^3 (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*x^2+1)^(5/2)/x^3/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(407\)
Exception generated. \[ \int \frac {x^5}{\sqrt {1-c^2 x^2} (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^5/(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(410\)
Exception generated. \[ \int \frac {x^3}{\sqrt {1-c^2 x^2} (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^3/(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(412\)
Exception generated. \[ \int \frac {1}{x \sqrt {1-c^2 x^2} (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/x/(-c^2*x^2+1)^(1/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(416\)
Exception generated. \[ \int \frac {x^3}{\left (1-c^2 x^2\right )^{3/2} (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^3/(-c^2*x^2+1)^(3/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(419\)
Exception generated. \[ \int \frac {x}{\left (1-c^2 x^2\right )^{3/2} (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x/(-c^2*x^2+1)^(3/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(421\)
Exception generated. \[ \int \frac {1}{x \left (1-c^2 x^2\right )^{3/2} (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/x/(-c^2*x^2+1)^(3/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(423\)
Exception generated. \[ \int \frac {x^3}{\left (1-c^2 x^2\right )^{5/2} (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^3/(-c^2*x^2+1)^(5/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(426\)
Exception generated. \[ \int \frac {x}{\left (1-c^2 x^2\right )^{5/2} (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x/(-c^2*x^2+1)^(5/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(428\)
Exception generated. \[ \int \frac {1}{x \left (1-c^2 x^2\right )^{5/2} (a+b \arccos (c x))^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/x/(-c^2*x^2+1)^(5/2)/(a+b*arccos(c*x))^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(430\)
Exception generated. \[ \int \frac {d-c^2 d x^2}{x (a+b \arccos (c x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((-c^2*d*x^2+d)/x/(a+b*arccos(c*x))^(3/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(437\)
Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^2}{x (a+b \arccos (c x))^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((-c^2*d*x^2+d)^2/x/(a+b*arccos(c*x))^(3/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(442\)
Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \sqrt {\arccos (a x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(3/2)*arccos(a*x)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(444\)
Exception generated. \[ \int \sqrt {c-a^2 c x^2} \sqrt {\arccos (a x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(1/2)*arccos(a*x)^(1/2),x, algorithm="giac")
Output:
Exception raised: TypeError >> an error occurred running a Giac command:IN PUT:sage2:=int(sage0,sageVARx):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(445\)
Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \arccos (a x)^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(3/2)*arccos(a*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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(449\)
Exception generated. \[ \int \sqrt {c-a^2 c x^2} \arccos (a x)^{3/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(1/2)*arccos(a*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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(450\)
Exception generated. \[ \int \left (c-a^2 c x^2\right )^{3/2} \arccos (a x)^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(3/2)*arccos(a*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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(453\)
Exception generated. \[ \int \sqrt {c-a^2 c x^2} \arccos (a x)^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-a^2*c*x^2+c)^(1/2)*arccos(a*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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(454\)
Exception generated. \[ \int x \sqrt {d-c^2 d x^2} (a+b \arccos (c x))^n \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x*(-c^2*d*x^2+d)^(1/2)*(a+b*arccos(c*x))^n,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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(485\)
Exception generated. \[ \int \sqrt {d-c^2 d x^2} (a+b \arccos (c x))^n \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arccos(c*x))^n,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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(486\)
Exception generated. \[ \int \frac {\sqrt {d-c^2 d x^2} (a+b \arccos (c x))^n}{x} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arccos(c*x))^n/x,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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(487\)
Exception generated. \[ \int \frac {\sqrt {d-c^2 d x^2} (a+b \arccos (c x))^n}{x^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(1/2)*(a+b*arccos(c*x))^n/x^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(488\)
Exception generated. \[ \int x \left (d-c^2 d x^2\right )^{3/2} (a+b \arccos (c x))^n \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x*(-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))^n,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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(490\)
Exception generated. \[ \int \left (d-c^2 d x^2\right )^{3/2} (a+b \arccos (c x))^n \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))^n,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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(491\)
Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^{3/2} (a+b \arccos (c x))^n}{x} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))^n/x,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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(492\)
Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^{3/2} (a+b \arccos (c x))^n}{x^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(3/2)*(a+b*arccos(c*x))^n/x^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(493\)
Exception generated. \[ \int x \left (d-c^2 d x^2\right )^{5/2} (a+b \arccos (c x))^n \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x*(-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))^n,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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(495\)
Exception generated. \[ \int \left (d-c^2 d x^2\right )^{5/2} (a+b \arccos (c x))^n \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))^n,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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(496\)
Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^{5/2} (a+b \arccos (c x))^n}{x} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))^n/x,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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(497\)
Exception generated. \[ \int \frac {\left (d-c^2 d x^2\right )^{5/2} (a+b \arccos (c x))^n}{x^2} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-c^2*d*x^2+d)^(5/2)*(a+b*arccos(c*x))^n/x^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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(498\)
Exception generated. \[ \int \frac {x^3 \arccos (a x)^n}{\sqrt {1-a^2 x^2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x^3*arccos(a*x)^n/(-a^2*x^2+1)^(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/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(500\)
Exception generated. \[ \int \frac {\left (d+e x^2\right ) (a+b \arccos (c x))}{x} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((e*x^2+d)*(a+b*arccos(c*x))/x,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(603\)
Exception generated. \[ \int \frac {\left (d+e x^2\right ) (a+b \arccos (c x))}{x^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((e*x^2+d)*(a+b*arccos(c*x))/x^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(605\)
Exception generated. \[ \int \frac {\left (d+e x^2\right )^2 (a+b \arccos (c x))}{x} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((e*x^2+d)^2*(a+b*arccos(c*x))/x,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(612\)
Exception generated. \[ \int \frac {\left (d+e x^2\right )^2 (a+b \arccos (c x))}{x^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((e*x^2+d)^2*(a+b*arccos(c*x))/x^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(614\)
Exception generated. \[ \int \frac {\left (d+e x^2\right )^3 (a+b \arccos (c x))}{x} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((e*x^2+d)^3*(a+b*arccos(c*x))/x,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(621\)
Exception generated. \[ \int \frac {\left (d+e x^2\right )^3 (a+b \arccos (c x))}{x^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((e*x^2+d)^3*(a+b*arccos(c*x))/x^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(623\)
Exception generated. \[ \int \frac {x^4 (a+b \arccos (c x))}{d+e x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x^4*(a+b*arccos(c*x))/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(626\)
Exception generated. \[ \int \frac {x^3 (a+b \arccos (c x))}{d+e x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x^3*(a+b*arccos(c*x))/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(627\)
Exception generated. \[ \int \frac {x^2 (a+b \arccos (c x))}{d+e x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x^2*(a+b*arccos(c*x))/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(628\)
Exception generated. \[ \int \frac {x (a+b \arccos (c x))}{d+e x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x*(a+b*arccos(c*x))/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(629\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{d+e x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(630\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{x \left (d+e x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/x/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(631\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{x^2 \left (d+e x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/x^2/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(632\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{x^3 \left (d+e x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/x^3/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(633\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{x^4 \left (d+e x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/x^4/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(634\)
Exception generated. \[ \int \frac {x^3 (a+b \arccos (c x))}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x^3*(a+b*arccos(c*x))/(e*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(635\)
Exception generated. \[ \int \frac {x (a+b \arccos (c x))}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x*(a+b*arccos(c*x))/(e*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(636\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/(e*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(641\)
Exception generated. \[ \int \frac {x^5 (a+b \arccos (c x))}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x^5*(a+b*arccos(c*x))/(e*x^2+d)^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(643\)
Exception generated. \[ \int \frac {x^3 (a+b \arccos (c x))}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x^3*(a+b*arccos(c*x))/(e*x^2+d)^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(644\)
Exception generated. \[ \int \frac {x (a+b \arccos (c x))}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x*(a+b*arccos(c*x))/(e*x^2+d)^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(645\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{\left (d+e x^2\right )^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/(e*x^2+d)^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(650\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/(e*x^2+d)^(1/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(652\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/(e*x^2+d)^(3/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(653\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/(e*x^2+d)^(5/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(654\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{\left (d+e x^2\right )^{7/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/(e*x^2+d)^(7/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(655\)
Exception generated. \[ \int \frac {(f x)^m (a+b \arccos (c x))}{d+e x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((f*x)^m*(a+b*arccos(c*x))/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(659\)
Exception generated. \[ \int \frac {(f x)^m (a+b \arccos (c x))}{\left (d+e x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((f*x)^m*(a+b*arccos(c*x))/(e*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(660\)
Exception generated. \[ \int \frac {(a+b \arccos (c x))^2}{d+e x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))^2/(e*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(665\)
Exception generated. \[ \int \frac {(a+b \arccos (c x))^2}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))^2/(e*x^2+d)^(1/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(667\)
Exception generated. \[ \int \frac {(a+b \arccos (c x))^2}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))^2/(e*x^2+d)^(3/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(668\)
Exception generated. \[ \int \frac {(a+b \arccos (c x))^2}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))^2/(e*x^2+d)^(5/2),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(669\)
Exception generated. \[ \int \frac {1}{\left (d+e x^2\right )^2 (a+b \arccos (c x))^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(1/(e*x^2+d)^2/(a+b*arccos(c*x))^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:Not invertible Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/273_5.2.4_arcsin
Test file number \(273\)
Integral number in file \(683\)
Exception generated. \[ \int \frac {x^3 (a+b \arccos (c x))}{d-c^2 d x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x^3*(a+b*arccos(c*x))/(-c^2*d*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(1\)
Exception generated. \[ \int \frac {x (a+b \arccos (c x))}{d-c^2 d x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x*(a+b*arccos(c*x))/(-c^2*d*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(3\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{d-c^2 d x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/(-c^2*d*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(4\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{x \left (d-c^2 d x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/x/(-c^2*d*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(5\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{x^2 \left (d-c^2 d x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/x^2/(-c^2*d*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(6\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{x^3 \left (d-c^2 d x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/x^3/(-c^2*d*x^2+d),x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(7\)
Exception generated. \[ \int \frac {x^3 (a+b \arccos (c x))}{\left (d-c^2 d x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate(x^3*(a+b*arccos(c*x))/(-c^2*d*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(9\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{\left (d-c^2 d x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/(-c^2*d*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(12\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{x \left (d-c^2 d x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/x/(-c^2*d*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(13\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{x^2 \left (d-c^2 d x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/x^2/(-c^2*d*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(14\)
Exception generated. \[ \int \frac {a+b \arccos (c x)}{x^3 \left (d-c^2 d x^2\right )^2} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((a+b*arccos(c*x))/x^3/(-c^2*d*x^2+d)^2,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(15\)
Exception generated. \[ \int \frac {\left (d+e x^2\right ) (a+b \arccos (c x))}{x} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((e*x^2+d)*(a+b*arccos(c*x))/x,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(20\)
Exception generated. \[ \int \frac {\left (d+e x^2\right ) (a+b \arccos (c x))}{x^3} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((e*x^2+d)*(a+b*arccos(c*x))/x^3,x, algorithm="giac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/274_5.2.4_fx
Test file number \(274\)
Integral number in file \(22\)
Exception generated. \[ \int (f+g x)^3 \sqrt {d-c^2 d x^2} (a+b \arccos (c x)) \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((g*x+f)^3*(-c^2*d*x^2+d)^(1/2)*(a+b*arccos(c*x)),x, algorithm="g iac")
Output:
Exception raised: RuntimeError >> an error occurred running a Giac command :INPUT:sage2OUTPUT:sym2poly/r2sym(const gen & e,const index_m & i,const ve cteur & l) Error: Bad Argument Value
input file name test_cases/rubi_tests/5_Inverse_trig_functions/5.2_Inverse_cosine/275_5.2.5
Test file number \(275\)
Integral number in file \(1\)