Integrals 901 to 1000

Giac [F(-2)]

Exception generated. A+Bx(a+bx+cx2)d+fx2dx=Exception raised: TypeError Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%{poly1[%%%{-4,[3,2,0]%%%}+%%%{16,[1,3,1]%%%},%%%{4,[4,2, 
0]%%%}+%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 99

Giac [F(-2)]

Exception generated. (g+hx)a+bx+cx2(ad+bdx+cdx2)3/2dx=Exception raised: TypeError Input:

integrate((h*x+g)*(c*x^2+b*x+a)^(1/2)/(c*d*x^2+b*d*x+a*d)^(3/2),x, algorit 
hm="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/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 115

Giac [F(-2)]

Exception generated. a2+2abx+b2x2c+dx2xdx=Exception raised: TypeError Input:

integrate(((b*x+a)^2)^(1/2)*(d*x^2+c)^(1/2)/x,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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 121

Giac [F(-2)]

Exception generated. a2+2abx+b2x2c+ex+dx2xdx=Exception raised: TypeError Input:

integrate(((b*x+a)^2)^(1/2)*(d*x^2+e*x+c)^(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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 127

Giac [F(-2)]

Exception generated. x2a+bx+cx2d+ex+fx2dx=Exception raised: TypeError Input:

integrate(x^2*(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 130

Giac [F(-2)]

Exception generated. xa+bx+cx2d+ex+fx2dx=Exception raised: TypeError Input:

integrate(x*(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 131

Giac [F(-2)]

Exception generated. a+bx+cx2d+ex+fx2dx=Exception raised: TypeError Input:

integrate((c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 132

Giac [F(-2)]

Exception generated. a+bx+cx2x(d+ex+fx2)dx=Exception raised: TypeError Input:

integrate((c*x^2+b*x+a)^(1/2)/x/(f*x^2+e*x+d),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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 133

Giac [F(-2)]

Exception generated. x2(a+bx+cx2)3/2d+ex+fx2dx=Exception raised: TypeError Input:

integrate(x^2*(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 135

Giac [F(-2)]

Exception generated. x(a+bx+cx2)3/2d+ex+fx2dx=Exception raised: TypeError Input:

integrate(x*(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 136

Giac [F(-2)]

Exception generated. (a+bx+cx2)3/2d+ex+fx2dx=Exception raised: TypeError Input:

integrate((c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 137

Giac [F(-2)]

Exception generated. (a+bx+cx2)3/2x(d+ex+fx2)dx=Exception raised: TypeError Input:

integrate((c*x^2+b*x+a)^(3/2)/x/(f*x^2+e*x+d),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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 138

Giac [F(-2)]

Exception generated. (a+bx+cx2)3/2x2(d+ex+fx2)dx=Exception raised: TypeError Input:

integrate((c*x^2+b*x+a)^(3/2)/x^2/(f*x^2+e*x+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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 139

Giac [F(-2)]

Exception generated. x3a+bx+cx2(d+ex+fx2)dx=Exception raised: TypeError Input:

integrate(x^3/(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 141

Giac [F(-2)]

Exception generated. x2a+bx+cx2(d+ex+fx2)dx=Exception raised: TypeError Input:

integrate(x^2/(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 142

Giac [F(-2)]

Exception generated. xa+bx+cx2(d+ex+fx2)dx=Exception raised: TypeError Input:

integrate(x/(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d),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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 143

Giac [F(-2)]

Exception generated. 1xa+bx+cx2(d+ex+fx2)dx=Exception raised: TypeError Input:

integrate(1/x/(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d),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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 145

Giac [F(-2)]

Exception generated. x4(a+bx+cx2)3/2(d+ex+fx2)dx=Exception raised: TypeError Input:

integrate(x^4/(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 148

Giac [F(-2)]

Exception generated. 1x(a+bx+cx2)3/2(d+ex+fx2)dx=Exception raised: TypeError Input:

integrate(1/x/(c*x^2+b*x+a)^(3/2)/(f*x^2+e*x+d),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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 153

Giac [F(-2)]

Exception generated. d+ex+fx2xa+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 165

Giac [F(-2)]

Exception generated. (d+ex+fx2)2xa+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/1.2.1_Quadratic_trinomial/106_1.2.1.5

Test file number 106

Integral number in file 174

Giac [F(-2)]

Exception generated. a+bx2(A+Bx+Cx2+Dx3)c+dxdx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(1/2)*(D*x^3+C*x^2+B*x+A)/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.7/108_1.2.1.7_a

Test file number 108

Integral number in file 63

Giac [F(-2)]

Exception generated. a+bx2(A+Bx+Cx2+Dx3)(c+dx)5dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(1/2)*(D*x^3+C*x^2+B*x+A)/(d*x+c)^5,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/1.2.1_Quadratic_trinomial/1.2.1.7/108_1.2.1.7_a

Test file number 108

Integral number in file 67

Giac [F(-2)]

Exception generated. (a+bx2)3/2(A+Bx+Cx2+Dx3)c+dxdx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(3/2)*(D*x^3+C*x^2+B*x+A)/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.7/108_1.2.1.7_a

Test file number 108

Integral number in file 75

Giac [F(-2)]

Exception generated. (a+bx2)5/2(A+Bx+Cx2+Dx3)c+dxdx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(5/2)*(D*x^3+C*x^2+B*x+A)/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.7/108_1.2.1.7_a

Test file number 108

Integral number in file 89

Giac [F(-2)]

Exception generated. A+Bx+Cx2+Dx3(c+dx)a+bx2dx=Exception raised: TypeError Input:

integrate((D*x^3+C*x^2+B*x+A)/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.7/108_1.2.1.7_a

Test file number 108

Integral number in file 105

Giac [F(-2)]

Exception generated. A+Bx+Cx2+Dx3(c+dx)(a+bx2)3/2dx=Exception raised: TypeError Input:

integrate((D*x^3+C*x^2+B*x+A)/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.7/108_1.2.1.7_a

Test file number 108

Integral number in file 112

Giac [F(-2)]

Exception generated. a+bx+cx2(d+ex+fx2)g+hxdx=Exception raised: TypeError Input:

integrate((c*x^2+b*x+a)^(1/2)*(f*x^2+e*x+d)/(h*x+g),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/1.2.1_Quadratic_trinomial/1.2.1.7/109_1.2.1.7_b

Test file number 109

Integral number in file 27

Giac [F(-2)]

Exception generated. (a+bx+cx2)3/2(d+ex+fx2)g+hxdx=Exception raised: TypeError Input:

integrate((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g),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/1.2.1_Quadratic_trinomial/1.2.1.7/109_1.2.1.7_b

Test file number 109

Integral number in file 37

Giac [F(-2)]

Exception generated. d+ex+fx2(g+hx)a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.7/109_1.2.1.7_b

Test file number 109

Integral number in file 67

Giac [F(-2)]

Exception generated. d+ex+fx2(g+hx)2a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.7/109_1.2.1.7_b

Test file number 109

Integral number in file 68

Giac [F(-2)]

Exception generated. d+ex+fx2+gx3xa+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT: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/1.2.1_Quadratic_trinomial/1.2.1.7/109_1.2.1.7_b

Test file number 109

Integral number in file 118

Giac [F(-2)]

Exception generated. (c+dx)a+bx2(A+Bx+Cx2)xdx=Exception raised: TypeError Input:

integrate((d*x+c)*(b*x^2+a)^(1/2)*(C*x^2+B*x+A)/x,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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 7

Giac [F(-2)]

Exception generated. (c+dx)2a+bx2(A+Bx+Cx2)xdx=Exception raised: TypeError Input:

integrate((d*x+c)^2*(b*x^2+a)^(1/2)*(C*x^2+B*x+A)/x,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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 20

Giac [F(-2)]

Exception generated. x2a+bx2(A+Bx+Cx2)c+dxdx=Exception raised: TypeError Input:

integrate(x^2*(b*x^2+a)^(1/2)*(C*x^2+B*x+A)/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 30

Giac [F(-2)]

Exception generated. xa+bx2(A+Bx+Cx2)c+dxdx=Exception raised: TypeError Input:

integrate(x*(b*x^2+a)^(1/2)*(C*x^2+B*x+A)/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 31

Giac [F(-2)]

Exception generated. a+bx2(A+Bx+Cx2)c+dxdx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(1/2)*(C*x^2+B*x+A)/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 32

Giac [F(-2)]

Exception generated. a+bx2(A+Bx+Cx2)x(c+dx)dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(1/2)*(C*x^2+B*x+A)/x/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 33

Giac [F(-2)]

Exception generated. a+bx2(A+Bx+Cx2)x2(c+dx)dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(1/2)*(C*x^2+B*x+A)/x^2/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 34

Giac [F(-2)]

Exception generated. a+bx2(A+Bx+Cx2)x3(c+dx)dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(1/2)*(C*x^2+B*x+A)/x^3/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 35

Giac [F(-2)]

Exception generated. a+bx2(A+Bx+Cx2)x2(c+dx)2dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(1/2)*(C*x^2+B*x+A)/x^2/(d*x+c)^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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 43

Giac [F(-2)]

Exception generated. (c+dx)(a+bx2)3/2(A+Bx+Cx2)xdx=Exception raised: TypeError Input:

integrate((d*x+c)*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x,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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 51

Giac [F(-2)]

Exception generated. (c+dx)2(a+bx2)3/2(A+Bx+Cx2)xdx=Exception raised: TypeError Input:

integrate((d*x+c)^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x,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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 65

Giac [F(-2)]

Exception generated. x2(a+bx2)3/2(A+Bx+Cx2)c+dxdx=Exception raised: TypeError Input:

integrate(x^2*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 76

Giac [F(-2)]

Exception generated. x(a+bx2)3/2(A+Bx+Cx2)c+dxdx=Exception raised: TypeError Input:

integrate(x*(b*x^2+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 77

Giac [F(-2)]

Exception generated. (a+bx2)3/2(A+Bx+Cx2)c+dxdx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(3/2)*(C*x^2+B*x+A)/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 78

Giac [F(-2)]

Exception generated. (a+bx2)3/2(A+Bx+Cx2)x(c+dx)dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 79

Giac [F(-2)]

Exception generated. (a+bx2)3/2(A+Bx+Cx2)x2(c+dx)dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^2/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 80

Giac [F(-2)]

Exception generated. (a+bx2)3/2(A+Bx+Cx2)x3(c+dx)dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^3/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 81

Giac [F(-2)]

Exception generated. (a+bx2)3/2(A+Bx+Cx2)x4(c+dx)dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^4/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 82

Giac [F(-2)]

Exception generated. (a+bx2)3/2(A+Bx+Cx2)x5(c+dx)dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^5/(d*x+c),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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 83

Giac [F(-2)]

Exception generated. (a+bx2)3/2(A+Bx+Cx2)x2(c+dx)2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 90

Giac [F(-2)]

Exception generated. (a+bx2)3/2(A+Bx+Cx2)x3(c+dx)2dx=Exception raised: TypeError Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:16.7888 interp horner, loop index 0 
16.7889 interp resultant evaled at -3, 0% done22.132 interp dd 22.2036 int 
erp build
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 91

Giac [F(-2)]

Exception generated. (a+bx2)3/2(A+Bx+Cx2)x4(c+dx)2dx=Exception raised: TypeError Input:

integrate((b*x^2+a)^(3/2)*(C*x^2+B*x+A)/x^4/(d*x+c)^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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 92

Giac [F(-2)]

Exception generated. (c+dx)(A+Bx+Cx2)xa+bx2dx=Exception raised: TypeError Input:

integrate((d*x+c)*(C*x^2+B*x+A)/x/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 98

Giac [F(-2)]

Exception generated. (c+dx)2(A+Bx+Cx2)xa+bx2dx=Exception raised: TypeError Input:

integrate((d*x+c)^2*(C*x^2+B*x+A)/x/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 108

Giac [F(-2)]

Exception generated. x3(A+Bx+Cx2)(c+dx)a+bx2dx=Exception raised: TypeError Input:

integrate(x^3*(C*x^2+B*x+A)/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 115

Giac [F(-2)]

Exception generated. x2(A+Bx+Cx2)(c+dx)a+bx2dx=Exception raised: TypeError Input:

integrate(x^2*(C*x^2+B*x+A)/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 116

Giac [F(-2)]

Exception generated. x(A+Bx+Cx2)(c+dx)a+bx2dx=Exception raised: TypeError Input:

integrate(x*(C*x^2+B*x+A)/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 117

Giac [F(-2)]

Exception generated. A+Bx+Cx2(c+dx)a+bx2dx=Exception raised: TypeError Input:

integrate((C*x^2+B*x+A)/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 118

Giac [F(-2)]

Exception generated. A+Bx+Cx2x(c+dx)a+bx2dx=Exception raised: TypeError Input:

integrate((C*x^2+B*x+A)/x/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 119

Giac [F(-2)]

Exception generated. A+Bx+Cx2(c+dx)2a+bx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 127

Giac [F(-2)]

Exception generated. (c+dx)(A+Bx+Cx2)x(a+bx2)3/2dx=Exception raised: TypeError Input:

integrate((d*x+c)*(C*x^2+B*x+A)/x/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 136

Giac [F(-2)]

Exception generated. (c+dx)2(A+Bx+Cx2)x(a+bx2)3/2dx=Exception raised: TypeError Input:

integrate((d*x+c)^2*(C*x^2+B*x+A)/x/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 144

Giac [F(-2)]

Exception generated. x4(A+Bx+Cx2)(c+dx)(a+bx2)3/2dx=Exception raised: TypeError Input:

integrate(x^4*(C*x^2+B*x+A)/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 149

Giac [F(-2)]

Exception generated. x3(A+Bx+Cx2)(c+dx)(a+bx2)3/2dx=Exception raised: TypeError Input:

integrate(x^3*(C*x^2+B*x+A)/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 150

Giac [F(-2)]

Exception generated. x2(A+Bx+Cx2)(c+dx)(a+bx2)3/2dx=Exception raised: TypeError Input:

integrate(x^2*(C*x^2+B*x+A)/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 151

Giac [F(-2)]

Exception generated. x(A+Bx+Cx2)(c+dx)(a+bx2)3/2dx=Exception raised: TypeError Input:

integrate(x*(C*x^2+B*x+A)/(d*x+c)/(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: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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 152

Giac [F(-2)]

Exception generated. A+Bx+Cx2x(c+dx)(a+bx2)3/2dx=Exception raised: TypeError Input:

integrate((C*x^2+B*x+A)/x/(d*x+c)/(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/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 154

Giac [F(-2)]

Exception generated. x2(A+Bx+Cx2)(c+dx)2(a+bx2)3/2dx=Exception raised: TypeError Input:

integrate(x^2*(C*x^2+B*x+A)/(d*x+c)^2/(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:Recursive assumption sageVARa>=((-s 
ageVARb*sageVARc^2*sageVARd^2*t_nostep^2-2*sageVARb*sageVARc*sageVARd*t_no 
step-sage
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/110_1.2.1.8_a

Test file number 110

Integral number in file 159

Giac [F(-2)]

Exception generated. A+Bx+Cx2+Dx3(cdx)(c+dx)2c2d2x2dx=Exception raised: NotImplementedError Input:

integrate((D*x^3+C*x^2+B*x+A)/(-d*x+c)/(d*x+c)^2/(-d^2*x^2+c^2)^(1/2),x, a 
lgorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: -1/a 
bs(sageVARd)*(-1/4*(sageVARA*sageVARd^3+sageVARD*sageVARc^3+sageVARB*sageV 
ARc*sageVARd^2+sageVARC*sageVARc^2*sageVARd)/sageVARc^3/sageVARd^3/sqrt(2* 
sageVARc*sageVARd*(
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/111_1.2.1.8_b

Test file number 111

Integral number in file 34

Giac [F(-2)]

Exception generated. Ac+(BcAd)x+(cCBd)x2(CdcD)x3dDx4(cdx)2(c+dx)2c2d2x2dx=Exception raised: NotImplementedError Input:

integrate((A*c+(-A*d+B*c)*x+(-B*d+C*c)*x^2-(C*d-D*c)*x^3-d*D*x^4)/(-d*x+c) 
^2/(d*x+c)^2/(-d^2*x^2+c^2)^(1/2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: -1/a 
bs(sageVARd)*(-1/4*(sageVARA*sageVARd^3+sageVARD*sageVARc^3+sageVARB*sageV 
ARc*sageVARd^2+sageVARC*sageVARc^2*sageVARd)/sageVARc^3/sageVARd^3/sqrt(2* 
sageVARc*sageVARd*(
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/111_1.2.1.8_b

Test file number 111

Integral number in file 37

Giac [F(-2)]

Exception generated. x3(A+Bx)(d+ex)a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/112_1.2.1.8_c

Test file number 112

Integral number in file 13

Giac [F(-2)]

Exception generated. x2(A+Bx)(d+ex)a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/112_1.2.1.8_c

Test file number 112

Integral number in file 14

Giac [F(-2)]

Exception generated. x(A+Bx)(d+ex)a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/112_1.2.1.8_c

Test file number 112

Integral number in file 15

Giac [F(-2)]

Exception generated. A+Bx(d+ex)a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/112_1.2.1.8_c

Test file number 112

Integral number in file 16

Giac [F(-2)]

Exception generated. A+Bxx(d+ex)a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/112_1.2.1.8_c

Test file number 112

Integral number in file 17

Giac [F(-2)]

Exception generated. (f+gx)2(A+Bx+Cx2)(d+ex)a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/112_1.2.1.8_c

Test file number 112

Integral number in file 44

Giac [F(-2)]

Exception generated. (f+gx)(A+Bx+Cx2)(d+ex)a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/112_1.2.1.8_c

Test file number 112

Integral number in file 45

Giac [F(-2)]

Exception generated. A+Bx+Cx2(d+ex)a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/112_1.2.1.8_c

Test file number 112

Integral number in file 46

Giac [F(-2)]

Exception generated. A+Bx+Cx2(d+ex)(f+gx)a+bx+cx2dx=Exception raised: TypeError Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/1.2.1.8/112_1.2.1.8_c

Test file number 112

Integral number in file 47

Giac [F(-2)]

Exception generated. (2+5x+x2)3+2x+5x2(1+4x7x2)2dx=Exception raised: TypeError Input:

integrate((x^2+5*x+2)*(5*x^2+2*x+3)^(1/2)/(-7*x^2+4*x+1)^2,x, algorithm="g 
iac")
 

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%%%{184473632,[8]%%%}+%%%{%%{[421654016,0]:[1,0,-5]%%},[7]%%%} 
+%%%{-248
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/113_1.2.1.9

Test file number 113

Integral number in file 6

Giac [F(-2)]

Exception generated. (2+5x+x2)(3+2x+5x2)3/2(1+4x7x2)2dx=Exception raised: TypeError Input:

integrate((x^2+5*x+2)*(5*x^2+2*x+3)^(3/2)/(-7*x^2+4*x+1)^2,x, algorithm="g 
iac")
 

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%%%{63274455776,[8]%%%}+%%%{%%{[144627327488,0]:[1,0,-5]%%},[7 
]%%%}+%%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.1_Quadratic_trinomial/113_1.2.1.9

Test file number 113

Integral number in file 12

Giac [F(-2)]

Exception generated. 1cd2bde+ae2(2cdfbefbdg+2aeg)x2+(cf2bfg+ag2)x4dx=Exception raised: TypeError Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{-4,[0,0,2]%%%},[1,0,3,0]%%%}+%%%{%%{poly1[%%%{2,[0,0,1 
]%%%},%%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/114_1.2.2.1

Test file number 114

Integral number in file 335

Giac [F(-2)]

Exception generated. a+bx2+cx4xdx=Exception raised: TypeError Input:

integrate((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/115_1.2.2.2

Test file number 115

Integral number in file 952

Giac [F(-2)]

Exception generated. (a+bx2+cx4)3/2xdx=Exception raised: TypeError Input:

integrate((c*x^4+b*x^2+a)^(3/2)/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/115_1.2.2.2

Test file number 115

Integral number in file 968

Giac [F(-2)]

Exception generated. ab+bx2a+bx4dx=Exception raised: TypeError Input:

integrate((a^(1/2)*b^(1/2)+b*x^2)/(b*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/116_1.2.2.3_a

Test file number 116

Integral number in file 209

Giac [F(-2)]

Exception generated. abbx2a+bx4dx=Exception raised: TypeError Input:

integrate((a^(1/2)*b^(1/2)-b*x^2)/(b*x^4+a),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/1_Algebraic_functions/1.2_Trinomial/1.2.2_Quartic_trinomial/116_1.2.2.3_a

Test file number 116

Integral number in file 210

Giac [F(-2)]

Exception generated. (d+ex2)7/2acx4dx=Exception raised: TypeError Input:

integrate((e*x^2+d)^(7/2)/(-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/116_1.2.2.3_a

Test file number 116

Integral number in file 341

Giac [F(-2)]

Exception generated. (d+ex2)5/2acx4dx=Exception raised: TypeError Input:

integrate((e*x^2+d)^(5/2)/(-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/116_1.2.2.3_a

Test file number 116

Integral number in file 342

Giac [F(-2)]

Exception generated. (d+ex2)7/2a+cx4dx=Exception raised: TypeError Input:

integrate((e*x^2+d)^(7/2)/(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/116_1.2.2.3_a

Test file number 116

Integral number in file 382

Giac [F(-2)]

Exception generated. (d+ex2)5/2a+cx4dx=Exception raised: TypeError Input:

integrate((e*x^2+d)^(5/2)/(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/116_1.2.2.3_a

Test file number 116

Integral number in file 383

Giac [F(-2)]

Exception generated. (d+ex2)3/2a+cx4dx=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/116_1.2.2.3_a

Test file number 116

Integral number in file 384

Giac [F(-2)]

Exception generated. x2d+ex2acx4dx=Exception raised: TypeError Input:

integrate(x^2*(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 116

Giac [F(-2)]

Exception generated. x8d+ex2a+cx4dx=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 132

Giac [F(-2)]

Exception generated. x4d+ex2a+cx4dx=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 133

Giac [F(-2)]

Exception generated. x10d+ex2a+cx4dx=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 137

Giac [F(-2)]

Exception generated. x6d+ex2a+cx4dx=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 138

Giac [F(-2)]

Exception generated. x2d+ex2a+cx4dx=Exception raised: TypeError Input:

integrate(x^2*(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 139

Giac [F(-2)]

Exception generated. x4(d+ex2)3/2a+cx4dx=Exception raised: TypeError Input:

integrate(x^4*(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 143