Integrals 1001 to 1100

Giac [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (d+e x^2\right )^{3/2}}{a+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^2*(e*x^2+d)^(3/2)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(144\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2}}{a+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x^2+d)^(3/2)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(145\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{10}}{\sqrt {d+e x^2} \left (a+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^10/(e*x^2+d)^(1/2)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(150\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^6}{\sqrt {d+e x^2} \left (a+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^6/(e*x^2+d)^(1/2)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(151\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^8}{\sqrt {d+e x^2} \left (a+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^8/(e*x^2+d)^(1/2)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(155\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4}{\sqrt {d+e x^2} \left (a+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^4/(e*x^2+d)^(1/2)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(156\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^8}{\left (d+e x^2\right )^{3/2} \left (a+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^8/(e*x^2+d)^(3/2)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(160\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^6}{\left (d+e x^2\right )^{3/2} \left (a+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^6/(e*x^2+d)^(3/2)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(161\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5}{\left (d+e x^2\right ) \sqrt {a+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^5/(e*x^2+d)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(272\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3}{\left (d+e x^2\right ) \sqrt {a+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^3/(e*x^2+d)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(273\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (d+e x^2\right ) \sqrt {a+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x/(e*x^2+d)/(c*x^4+a)^(1/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(275\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5}{\left (d+e x^2\right ) \sqrt {a-c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^5/(e*x^2+d)/(-c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(283\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3}{\left (d+e x^2\right ) \sqrt {a-c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^3/(e*x^2+d)/(-c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(284\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (d+e x^2\right ) \sqrt {a-c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x/(e*x^2+d)/(-c*x^4+a)^(1/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(286\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^9}{\left (d+e x^2\right ) \left (a+c x^4\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^9/(e*x^2+d)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(313\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^7}{\left (d+e x^2\right ) \left (a+c x^4\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^7/(e*x^2+d)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(314\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (d+e x^2\right ) \left (a+c x^4\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x/(e*x^2+d)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(318\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^9}{\left (d+e x^2\right ) \left (a-c x^4\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^9/(e*x^2+d)/(-c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(328\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^7}{\left (d+e x^2\right ) \left (a-c x^4\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^7/(e*x^2+d)/(-c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(329\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (d+e x^2\right ) \left (a-c x^4\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x/(e*x^2+d)/(-c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(333\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{13}}{\left (d+e x^2\right ) \left (a-c x^4\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^13/(e*x^2+d)/(-c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(349\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{11}}{\left (d+e x^2\right ) \left (a-c x^4\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^11/(e*x^2+d)/(-c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(350\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (d+e x^2\right ) \left (a-c x^4\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x/(e*x^2+d)/(-c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(356\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{13}}{\left (d+e x^2\right ) \left (a+c x^4\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^13/(e*x^2+d)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(367\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^{11}}{\left (d+e x^2\right ) \left (a+c x^4\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^11/(e*x^2+d)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(368\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (d+e x^2\right ) \left (a+c x^4\right )^{5/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x/(e*x^2+d)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(374\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^6}{\sqrt {d+e x^2} \left (a d+b d x^2+b e x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^6/(e*x^2+d)^(1/2)/(b*e*x^4+b*d*x^2+a*d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(626\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4}{\sqrt {d+e x^2} \left (a d+b d x^2+b e x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^4/(e*x^2+d)^(1/2)/(b*e*x^4+b*d*x^2+a*d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(627\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^6 \sqrt {d+e x^2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^6*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(776\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \sqrt {d+e x^2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^4*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(777\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^2 \sqrt {d+e x^2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^2*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(778\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \left (d+e x^2\right )^{3/2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^4*(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(787\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (d+e x^2\right )^{3/2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^2*(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(788\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(789\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^8}{\sqrt {d+e x^2} \left (a+b x^2+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^8/(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(804\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^6}{\sqrt {d+e x^2} \left (a+b x^2+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^6/(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(805\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4}{\sqrt {d+e x^2} \left (a+b x^2+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^4/(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(806\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^8}{\left (d+e x^2\right )^{3/2} \left (a+b x^2+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^8/(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(812\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^6}{\left (d+e x^2\right )^{3/2} \left (a+b x^2+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^6/(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(813\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right ) \sqrt {a+b x^2+c x^4}}{x} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x^2+d)*(c*x^4+b*x^2+a)^(1/2)/x,x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(835\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5 \sqrt {a+b x^2+c x^4}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^5*(c*x^4+b*x^2+a)^(1/2)/(e*x^2+d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(868\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3 \sqrt {a+b x^2+c x^4}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^3*(c*x^4+b*x^2+a)^(1/2)/(e*x^2+d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(869\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x \sqrt {a+b x^2+c x^4}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x*(c*x^4+b*x^2+a)^(1/2)/(e*x^2+d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(870\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b x^2+c x^4}}{x \left (d+e x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((c*x^4+b*x^2+a)^(1/2)/x/(e*x^2+d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(871\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5 \left (a+b x^2+c x^4\right )^{3/2}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^5*(c*x^4+b*x^2+a)^(3/2)/(e*x^2+d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(905\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3 \left (a+b x^2+c x^4\right )^{3/2}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^3*(c*x^4+b*x^2+a)^(3/2)/(e*x^2+d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(906\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x \left (a+b x^2+c x^4\right )^{3/2}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x*(c*x^4+b*x^2+a)^(3/2)/(e*x^2+d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(907\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a+b x^2+c x^4\right )^{3/2}}{x \left (d+e x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((c*x^4+b*x^2+a)^(3/2)/x/(e*x^2+d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(908\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a+b x^2+c x^4\right )^{3/2}}{x^3 \left (d+e x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((c*x^4+b*x^2+a)^(3/2)/x^3/(e*x^2+d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(909\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a+b x^2+c x^4\right )^{3/2}}{x^5 \left (d+e x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((c*x^4+b*x^2+a)^(3/2)/x^5/(e*x^2+d),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(910\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B x^2}{x \sqrt {a+b x^2+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((B*x^2+A)/x/(c*x^4+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:Degree mismatch inside factorisatio 
n over extensionNot implemented, e.g. for multivariate mod/approx polynomi 
alsError:
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(926\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5}{\left (d+e x^2\right ) \sqrt {a+b x^2+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^5/(e*x^2+d)/(c*x^4+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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(942\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3}{\left (d+e x^2\right ) \sqrt {a+b x^2+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^3/(e*x^2+d)/(c*x^4+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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(943\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (d+e x^2\right ) \sqrt {a+b x^2+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x/(e*x^2+d)/(c*x^4+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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(945\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^7}{\left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^7/(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(962\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/118_1.2.2.4

Test file number \(118\)

Integral number in file \(966\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{5/2} \left (A+B x^2+C x^4\right )}{a+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x^2+d)^(5/2)*(C*x^4+B*x^2+A)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(13\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} \left (A+B x^2+C x^4\right )}{a+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x^2+d)^(3/2)*(C*x^4+B*x^2+A)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(14\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} \left (A+B x^2+C x^4\right )}{a+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x^2+d)^(1/2)*(C*x^4+B*x^2+A)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(15\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B x^2+C x^4}{\sqrt {d+e x^2} \left (a+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((C*x^4+B*x^2+A)/(e*x^2+d)^(1/2)/(c*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(16\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1-\frac {\sqrt {c} x^2}{\sqrt {a}}}{\left (d+e x^2\right ) \sqrt {a-c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1-c^(1/2)*x^2/a^(1/2))/(e*x^2+d)/(-c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(61\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1+\frac {\sqrt {c} x^2}{\sqrt {a}}}{\left (d+e x^2\right ) \sqrt {a+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1+c^(1/2)*x^2/a^(1/2))/(e*x^2+d)/(c*x^4+a)^(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 operator + Error: 
Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(81\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1-\frac {\sqrt {c} x^2}{\sqrt {a}}}{\left (d+e x^2\right ) \sqrt {a+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1-c^(1/2)*x^2/a^(1/2))/(e*x^2+d)/(c*x^4+a)^(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 operator + Error: 
Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(83\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1+\frac {\sqrt {b} x^2}{\sqrt {a+b}}}{\left (1-x^2\right ) \sqrt {a+b+b x^4}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((1+b^(1/2)*x^2/(a+b)^(1/2))/(-x^2+1)/(b*x^4+a+b)^(1/2),x, algori 
thm="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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(85\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1+\frac {\sqrt {b} \left (a+b-\sqrt {b} \sqrt {a+b}\right ) x^2}{(a+b) \left (-\sqrt {b}+\sqrt {a+b}\right )}}{\left (1-x^2\right ) \sqrt {a+b+b x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Recursive assumption sageVARa>=(-sa 
geVARb) ignoredRecursive assumption sageVARa>=(-sageVARb) ignoredRecursive 
 assumpti
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(86\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a \sqrt {a+b}+b \sqrt {a+b}+\sqrt {b} (a+b)\right ) \left (1-\frac {\sqrt {b} x^2}{\sqrt {a+b}}\right )}{\left (1-x^2\right ) \sqrt {a+b+b x^4}} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a*(a+b)^(1/2)+b*(a+b)^(1/2)+b^(1/2)*(a+b))*(1-b^(1/2)*x^2/(a+b) 
^(1/2))/(-x^2+1)/(b*x^4+a+b)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(89\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{5/2} \left (A+B x^2+C x^4\right )}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x^2+d)^(5/2)*(C*x^4+B*x^2+A)/(c*x^4+b*x^2+a),x, algorithm="gi 
ac")
 

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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(154\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2} \left (A+B x^2+C x^4\right )}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x^2+d)^(3/2)*(C*x^4+B*x^2+A)/(c*x^4+b*x^2+a),x, algorithm="gi 
ac")
 

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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(155\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d+e x^2} \left (A+B x^2+C x^4\right )}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((e*x^2+d)^(1/2)*(C*x^4+B*x^2+A)/(c*x^4+b*x^2+a),x, algorithm="gi 
ac")
 

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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(156\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B x^2+C x^4}{\sqrt {d+e x^2} \left (a+b x^2+c x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((C*x^4+B*x^2+A)/(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),x, algorithm="gi 
ac")
 

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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(157\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1+\frac {\sqrt {c} x^2}{\sqrt {a}}}{\left (d+e x^2\right ) \sqrt {a+b x^2+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1+c^(1/2)*x^2/a^(1/2))/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algor 
ithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(180\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1-\frac {\sqrt {c} x^2}{\sqrt {a}}}{\left (d+e x^2\right ) \sqrt {a+b x^2+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1-c^(1/2)*x^2/a^(1/2))/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),x, algor 
ithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/121_1.2.2.7

Test file number \(121\)

Integral number in file \(182\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5 \left (A+B x^2+C x^4\right )}{\left (c+d x^2\right ) \sqrt {a+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^5*(C*x^4+B*x^2+A)/(d*x^2+c)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/122_1.2.2.8

Test file number \(122\)

Integral number in file \(21\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3 \left (A+B x^2+C x^4\right )}{\left (c+d x^2\right ) \sqrt {a+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^3*(C*x^4+B*x^2+A)/(d*x^2+c)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/122_1.2.2.8

Test file number \(122\)

Integral number in file \(22\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x \left (A+B x^2+C x^4\right )}{\left (c+d x^2\right ) \sqrt {a+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x*(C*x^4+B*x^2+A)/(d*x^2+c)/(c*x^4+a)^(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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/122_1.2.2.8

Test file number \(122\)

Integral number in file \(23\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B x^2+C x^4}{x \left (c+d x^2\right ) \sqrt {a+c x^4}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((C*x^4+B*x^2+A)/x/(d*x^2+c)/(c*x^4+a)^(1/2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/122_1.2.2.8

Test file number \(122\)

Integral number in file \(24\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {a+\frac {c}{x^2}+\frac {b}{x}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+c/x^2+b/x)^(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 extensionNot implemented, e.g. for multivariate mod/approx polynomi 
alsError:
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(16\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {a+\frac {c}{x^2}+\frac {b}{x}}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(a+c/x^2+b/x)^(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 extensionNot implemented, e.g. for multivariate mod/approx polynomi 
alsError:
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(17\)

Giac [F(-2)]

Exception generated. \[ \int \left (a+b \sqrt {x}+c x\right )^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*x^(1/2)+c*x)^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage3:=type(sage2):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m 
& i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & 
 e,const
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(30\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {a+b \sqrt {x}+c x} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*x^(1/2)+c*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 ValueDone
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(32\)

Giac [F(-2)]

Exception generated. \[ \int \left (a+b \sqrt [3]{x}+c x^{2/3}\right )^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((a+b*x^(1/3)+c*x^(2/3))^(5/2),x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage3:=type(sage2):;OUTPUT:sym2poly/r2sym(const gen & e,const index_m 
& i,const vecteur & l) Error: Bad Argument ValueDone
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(56\)

Giac [F(-2)]

Exception generated. \[ \int \left (a+b \sqrt [3]{x}+c x^{2/3}\right )^{3/2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((a+b*x^(1/3)+c*x^(2/3))^(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 Value3*sageVARc*(2*(((((7680*sageVARc^5*1/9 
2160/sageVAR
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/123_1.2.3.1

Test file number \(123\)

Integral number in file \(57\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{2+x^3+x^6} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/(x^6+x^3+2),x, algorithm="giac")
 

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Invalid _EXT in replace_ext Error: Bad Argument Valuein 
tegrate(1/(sageVARx^6+sageVARx^3+2),sageVARx)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/124_1.2.3.2_a

Test file number \(124\)

Integral number in file \(167\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3}{2+x^3+x^6} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^3/(x^6+x^3+2),x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/124_1.2.3.2_a

Test file number \(124\)

Integral number in file \(169\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {x} \sqrt {b \sqrt {x}+a x}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x^(1/2)/(b*x^(1/2)+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 ValueDone
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(63\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b \sqrt {x}+c x}}{x} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(76\)

Giac [F(-2)]

Exception generated. \[ \int x^{3 n} \left (a+b x^n+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^(3*n)*(a+b*x^n+c*x^(2*n))^p,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%%%{-256,[1,0,7,4,7,5,2,8]%%%}+%%%{-1280,[1,0,7,4,7,4,2,8]%%%} 
+%%%{-256
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(257\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{(d f+e f x)^2 \left (a+b (d+e x)^2+c (d+e x)^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(e*f*x+d*f)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4),x, algorithm="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 ValueError index.cc index_gcd Error: Bad Argument ValueDone
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/126_1.2.3.2_c

Test file number \(126\)

Integral number in file \(272\)

Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^n\right )^3 \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d+e*x^n)^3*(a+c*x^(2*n))^p,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%%%{96,[1,0,6,4,3,5,4,1,2]%%%}+%%%{480,[1,0,6,4,3,4,4,1,2]%%%} 
+%%%{960,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/127_1.2.3.3_a

Test file number \(127\)

Integral number in file \(47\)

Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d+e*x^n)^2*(a+c*x^(2*n))^p,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%%%{64,[1,0,4,3,1,4,3,1,1]%%%}+%%%{256,[1,0,4,3,1,3,3,1,1]%%%} 
+%%%{384,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/127_1.2.3.3_a

Test file number \(127\)

Integral number in file \(48\)

Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^n\right )^3 \left (a+b x^n+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d+e*x^n)^3*(a+b*x^n+c*x^(2*n))^p,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%%%{512,[1,0,7,4,9,5,1,8,0,3]%%%}+%%%{-3072,[1,0,7,4,9,5,0,9,1 
,2]%%%}+%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/128_1.2.3.3_b

Test file number \(128\)

Integral number in file \(89\)

Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^n\right )^2 \left (a+b x^n+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d+e*x^n)^2*(a+b*x^n+c*x^(2*n))^p,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%%%{-128,[1,0,5,3,6,4,1,6,0,2]%%%}+%%%{512,[1,0,5,3,6,4,0,7,1, 
1]%%%}+%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/128_1.2.3.3_b

Test file number \(128\)

Integral number in file \(90\)

Giac [F(-2)]

Exception generated. \[ \int (f x)^m \left (d+e x^n\right )^3 \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

integrate((f*x)^m*(d+e*x^n)^3*(a+c*x^(2*n))^p,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%%%{96,[1,0,6,4,0,3,5,4,1,2]%%%}+%%%{480,[1,0,6,4,0,3,4,4,1,2] 
%%%}+%%%{
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/131_1.2.3.4_c

Test file number \(131\)

Integral number in file \(42\)

Giac [F(-2)]

Exception generated. \[ \int (f x)^m \left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

integrate((f*x)^m*(d+e*x^n)^2*(a+c*x^(2*n))^p,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%%%{64,[1,0,4,3,0,1,4,3,1,1]%%%}+%%%{256,[1,0,4,3,0,1,3,3,1,1] 
%%%}+%%%{
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/131_1.2.3.4_c

Test file number \(131\)

Integral number in file \(43\)

Giac [F(-2)]

Exception generated. \[ \int (f x)^m \left (d+e x^n\right )^q \left (a+c x^{2 n}\right )^3 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((f*x)^m*(d+e*x^n)^q*(a+c*x^(2*n))^3,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[5,0,12,7,0,5,7,7,3,0]%%%}+%%%{-7,[5,0,12,7,0,5,6,7,3,0 
]%%%}+%%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/131_1.2.3.4_c

Test file number \(131\)

Integral number in file \(58\)

Giac [F(-2)]

Exception generated. \[ \int (f x)^m \left (d+e x^n\right )^q \left (a+c x^{2 n}\right )^2 \, dx=\text {Exception raised: TypeError} \] Input:

integrate((f*x)^m*(d+e*x^n)^q*(a+c*x^(2*n))^2,x, algorithm="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{-1,[3,0,8,5,0,3,5,5,2,0]%%%}+%%%{-5,[3,0,8,5,0,3,4,5,2,0]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/131_1.2.3.4_c

Test file number \(131\)

Integral number in file \(59\)

Giac [F(-2)]

Exception generated. \[ \int (f x)^m \left (d+e x^n\right )^q \left (a+c x^{2 n}\right ) \, dx=\text {Exception raised: TypeError} \] Input:

integrate((f*x)^m*(d+e*x^n)^q*(a+c*x^(2*n)),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,[1,0,4,3,0,1,3,3,1,0]%%%}+%%%{-3,[1,0,4,3,0,1,2,3,1,0]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/131_1.2.3.4_c

Test file number \(131\)

Integral number in file \(60\)

Giac [F(-2)]

Exception generated. \[ \int (f x)^m \left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

integrate((f*x)^m*(d+e*x^n)^2*(a+c*x^(2*n))^p,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%%%{64,[1,0,4,3,0,1,4,3,1,1]%%%}+%%%{256,[1,0,4,3,0,1,3,3,1,1] 
%%%}+%%%{
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/131_1.2.3.4_c

Test file number \(131\)

Integral number in file \(63\)

Giac [F(-2)]

Exception generated. \[ \int x^{-1-n} \left (d+e x^n\right )^q \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^(-1-n)*(d+e*x^n)^q*(a+c*x^(2*n))^p,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%%%{16,[0,0,6,4,19,3,4,4,4,12]%%%}+%%%{128,[0,0,6,4,17,4,4,4,6 
,11]%%%}+
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/131_1.2.3.4_c

Test file number \(131\)

Integral number in file \(76\)

Giac [F(-2)]

Exception generated. \[ \int x^{-1-2 n} \left (d+e x^n\right )^q \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^(-1-2*n)*(d+e*x^n)^q*(a+c*x^(2*n))^p,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%%%{16,[0,0,6,4,19,3,4,4,4,12]%%%}+%%%{128,[0,0,6,4,17,4,4,4,6 
,11]%%%}+
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/131_1.2.3.4_c

Test file number \(131\)

Integral number in file \(77\)