Integrals 1101 to 1200

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt[3]{c}-2\sqrt[3]{d}\sqrt[3]{x}}{c\sqrt[3]{d}{x}^{2/3}-c^{2/3}{d}^{2/3}x+\sqrt[3]{c}d{x}^{4/3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((c^(1/3)-2*d^(1/3)*x^(1/3))/(c*d^(1/3)*x^(2/3)-c^(2/3)*d^(2/3)*x 
+c^(1/3)*d*x^(4/3)),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,[1]%%%},0]:[1,0,0,%%%{-1,[1]%%%}]%%},[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 $79$

Giac [F(-2)]

Exception generated. $$\int (fx{)}^m{(d+e{x}^n)}^q{(a+b{x}^n+c{x}^{2n})}^{2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x)^m*(d+e*x^n)^q*(a+b*x^n+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,[3,0,8,5,0,3,5,5,2,0,0]%%%}+%%%{-5,[3,0,8,5,0,3,4,5,2,0 
,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 $180$

Giac [F(-2)]

Exception generated. $$\int (fx{)}^m{(d+e{x}^n)}^q(a+b{x}^n+c{x}^{2n})dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x)^m*(d+e*x^n)^q*(a+b*x^n+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,[1,0,4,3,0,1,3,3,1,0,0]%%%}+%%%{-3,[1,0,4,3,0,1,2,3,1,0 
,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 $181$

Giac [F(-2)]

Exception generated. $$\int (fx{)}^m{(d+e{x}^n)}^2{(a+b{x}^n+c{x}^{2n})}^{p}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x)^m*(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,[1,0,5,3,0,6,4,1,6,0,2]%%%}+%%%{512,[1,0,5,3,0,6,4,0, 
7,1,1]%%%
 

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 $184$

Giac [F(-2)]

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

integrate(x^(-1-n)*(d+e*x^n)^q*(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,[0,0,6,4,19,4,7,4,0,4,16]%%%}+%%%{-256,[0,0,6,4,19,4,6 
,4,2,4,15
 

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 $198$

Giac [F(-2)]

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

integrate(x^(-1-2*n)*(d+e*x^n)^q*(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,[0,0,6,4,19,4,7,4,0,4,16]%%%}+%%%{-256,[0,0,6,4,19,4,6 
,4,2,4,15
 

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 $199$

Giac [F(-2)]

Exception generated. $$\int {(a+b{x}^n+c{x}^{2n})}^p(A+B{x}^n+C{x}^{2n})dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*x^n+c*x^(2*n))^p*(A+B*x^n+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%%%{-128,[1,0,5,3,6,4,1,6,0,0,1]%%%}+%%%{256,[1,0,5,3,6,4,0,7, 
0,1,0]%%%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/132_1.2.3.5

Test file number $132$

Integral number in file $34$

Giac [F(-2)]

Exception generated. $$\int {(a+b{x}^n+c{x}^{2n})}^p(A+B{x}^n+C{x}^{2n}+D{x}^{3n})dx=\text{Exception raised: TypeError}$$ Input:

integrate((a+b*x^n+c*x^(2*n))^p*(A+B*x^n+C*x^(2*n)+D*x^(3*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%%%{512,[1,0,7,4,9,5,1,8,0,0,0,1]%%%}+%%%{-1024,[1,0,7,4,9,5,0 
,9,0,0,1,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/132_1.2.3.5

Test file number $132$

Integral number in file $35$

Giac [F(-2)]

Exception generated. $$\int {(a+b{x}^n+c{x}^{2n})}^p(A+C{x}^{2n})dx=\text{Exception raised: TypeError}$$ Input:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.3_General_trinomial/132_1.2.3.5

Test file number $132$

Integral number in file $36$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{d+ex+f\sqrt{a+bx+c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(d+e*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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number $135$

Integral number in file $27$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(d+ex+f\sqrt{a+bx+c{x}^2})}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(d+e*x+f*(c*x^2+b*x+a)^(1/2))^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/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number $135$

Integral number in file $28$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(d+ex+f\sqrt{a+bx+c{x}^2})}^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(d+e*x+f*(c*x^2+b*x+a)^(1/2))^3,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/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number $135$

Integral number in file $29$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{d+ex+f\sqrt{-a+bx+c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(d+e*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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number $135$

Integral number in file $38$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(d+ex+f\sqrt{-a+bx+c{x}^2})}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(d+e*x+f*(c*x^2+b*x-a)^(1/2))^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/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number $135$

Integral number in file $39$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(d+ex+f\sqrt{-a+bx+c{x}^2})}^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(d+e*x+f*(c*x^2+b*x-a)^(1/2))^3,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/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number $135$

Integral number in file $40$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{d+ex+f\sqrt{-a+bx-c{x}^2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(d+e*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:Error: Bad Argument Type
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number $135$

Integral number in file $48$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(d+ex+f\sqrt{-a+bx-c{x}^2})}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(d+e*x+f*(-c*x^2+b*x-a)^(1/2))^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/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number $135$

Integral number in file $49$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(d+ex+f\sqrt{-a+bx-c{x}^2})}^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(d+e*x+f*(-c*x^2+b*x-a)^(1/2))^3,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/1.2.4_Nested_quadratic_trinomial/135_1.2.4.1

Test file number $135$

Integral number in file $50$

Giac [F(-2)]

Exception generated. $$\int \frac{x^2}{{(1+2x+\sqrt{2+3x+5x^2})}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2/(1+2*x+(5*x^2+3*x+2)^(1/2))^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%%%{923521,[8]%%%}+%%%{%%{[3694084,0]:[1,0,-5]%%},[7]%%%}+%%%{ 
42481966,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.4_Nested_quadratic_trinomial/136_1.2.4.2

Test file number $136$

Integral number in file $22$

Giac [F(-2)]

Exception generated. $$\int \frac{x}{{(1+2x+\sqrt{2+3x+5x^2})}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x/(1+2*x+(5*x^2+3*x+2)^(1/2))^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%%%{923521,[8]%%%}+%%%{%%{[3694084,0]:[1,0,-5]%%},[7]%%%}+%%%{ 
42481966,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.4_Nested_quadratic_trinomial/136_1.2.4.2

Test file number $136$

Integral number in file $23$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{x^2(1+2x+\sqrt{-2+8x-5x^2})}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/x^2/(1+2*x+(-5*x^2+8*x-2)^(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%%%{%%{[111703088158989257812500000000000000000000000000000000 
000000000
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.4_Nested_quadratic_trinomial/136_1.2.4.2

Test file number $136$

Integral number in file $51$

Giac [F(-2)]

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

integrate((c*x^4+b*x^3+a*x^2)^(1/2)/x^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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number $138$

Integral number in file $50$

Giac [F(-2)]

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

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number $138$

Integral number in file $51$

Giac [F(-2)]

Exception generated. $$\int \frac{{(a{x}^2+b{x}^3+c{x}^4)}^{3/2}}{x^4}dx=\text{Exception raised: TypeError}$$ Input:

integrate((c*x^4+b*x^3+a*x^2)^(3/2)/x^4,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/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number $138$

Integral number in file $60$

Giac [F(-2)]

Exception generated. $$\int \frac{{(a{x}^2+b{x}^3+c{x}^4)}^{3/2}}{x^7}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.5_Improper_quadratic_trinomial/138_1.2.5.2

Test file number $138$

Integral number in file $63$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{ax+b{x}^3+c{x}^5}}{x^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.2_Trinomial/1.2.6_Improper_general_trinomial/140_1.2.6.2

Test file number $140$

Integral number in file $55$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{2-4x+3x^3}dx=\text{Exception raised: NotImplementedError}$$ Input:

integrate(1/(3*x^3-4*x+2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/(9 
*(1/9565938*rootof([[-3,0,14580,0,-11337408],[1,0,-5832,0,8503056,0,975725 
676]]))^2-4)*ln(sageVARx-1/9565938*rootof([[-3,0,14580,0,-11337408],[1,0,- 
5832,0,8503056,0,97
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $19$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(2-4x+3x^3)}^2}dx=\text{Exception raised: NotImplementedError}$$ Input:

integrate(1/(3*x^3-4*x+2)^2,x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: (36* 
sageVARx^2+27*sageVARx-32)*1/34/(3*sageVARx^3-4*sageVARx+2)+((1/531441*roo 
tof([[-3,0,14580,0,-11337408],[1,0,-5832,0,8503056,0,975725676]])+27)/(9*( 
1/9565938*rootof([[
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $20$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{2-6x+3x^3}dx=\text{Exception raised: NotImplementedError}$$ Input:

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/(9 
*(1/1458*rootof([[-243,0,2430,0,-3888],[1,0,-12,0,36,0,-20]]))^2-6)*ln(sag 
eVARx-1/1458*rootof([[-243,0,2430,0,-3888],[1,0,-12,0,36,0,-20]]))+1/(9*(1 
/972*rootof([[81,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $26$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(2-6x+3x^3)}^2}dx=\text{Exception raised: NotImplementedError}$$ Input:

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: -(6* 
sageVARx^2+3*sageVARx-8)*1/30/(3*sageVARx^3-6*sageVARx+2)+((1/1458*rootof( 
[[-243,0,2430,0,-3888],[1,0,-12,0,36,0,-20]])+1)/(-9*(1/1458*rootof([[-243 
,0,2430,0,-3888],[1
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $27$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{2-4x^2+3x^3}dx=\text{Exception raised: NotImplementedError}$$ Input:

integrate(1/(3*x^3-4*x^2+2),x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/(9 
*(1/570767634*rootof([[-3,0,58320,0,72275976],[1,0,-23328,0,136048896,0,16 
03920824460]]))^2-4/285383817*rootof([[-3,0,58320,0,72275976],[1,0,-23328, 
0,136048896,0,16039
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $49$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(2-4x^2+3x^3)}^2}dx=\text{Exception raised: NotImplementedError}$$ Input:

integrate(1/(3*x^3-4*x^2+2)^2,x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: (48* 
sageVARx^2+17*sageVARx-36)*1/230/(3*sageVARx^3-4*sageVARx^2+2)+((4/9512793 
9*rootof([[-3,0,58320,0,72275976],[1,0,-23328,0,136048896,0,1603920824460] 
])+49)/(9*(1/570767
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $50$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{2-6x^2+3x^3}dx=\text{Exception raised: NotImplementedError}$$ Input:

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/(9 
*(1/162*rootof([[-3,0,180,0,-1620],[1,0,-72,0,1296,0,-6804]]))^2-2/27*root 
of([[-3,0,180,0,-1620],[1,0,-72,0,1296,0,-6804]]))*ln(sageVARx-1/162*rooto 
f([[-3,0,180,0,-162
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $56$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(2-6x^2+3x^3)}^2}dx=\text{Exception raised: NotImplementedError}$$ Input:

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: -(4* 
sageVARx^2-5*sageVARx-2)*1/14/(3*sageVARx^3-6*sageVARx^2+2)+((1/81*rootof( 
[[-3,0,180,0,-1620],[1,0,-72,0,1296,0,-6804]])-1)/(-9*(1/162*rootof([[-3,0 
,180,0,-1620],[1,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $57$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^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%%%{%%%{-972,[1]%%%}+%%%{162,[0]%%%},[2]%%%}+%%%{%%{[%%%{-324, 
[1]%%%}+%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $77$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^2,x, algorithm="gi 
ac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{17006112,[3]%%%}+%%%{-8503056,[2]%%%}+%%%{1417176,[1]% 
%%}+%%%{-
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $78$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^3,x, algorithm="gi 
ac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{-16529940864,[4]%%%}+%%%{11019960576,[3]%%%}+%%%{-2754 
990144,[2
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $79$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(3/2),x, algorithm 
="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{%%{[17794363111902506549001421627856069105221941539635 
2,0]:[1,0
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $83$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^{5/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(5/2),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%%%{%%%{%%{[57679697131412471146375752310031337811217990698824 
936928593
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $84$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{2+3x-5x^2+x^3}dx=\text{Exception raised: NotImplementedError}$$ Input:

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/(3 
*(-1/61*rootof([[-3,0,80,0,-443],[1,0,-32,0,256,0,-469]]))^2+10/61*rootof( 
[[-3,0,80,0,-443],[1,0,-32,0,256,0,-469]])+3)*ln(sageVARx+1/61*rootof([[-3 
,0,80,0,-443],[1,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $153$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(2+3x-5x^2+x^3)}^2}dx=\text{Exception raised: NotImplementedError}$$ Input:

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

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: -(32 
*sageVARx^2-127*sageVARx+9)*1/469/(sageVARx^3-5*sageVARx^2+3*sageVARx+2)+( 
(-32/61*rootof([[-3,0,80,0,-443],[1,0,-32,0,256,0,-469]])-94)/(-3*(-1/61*r 
ootof([[-3,0,80,0,-
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $154$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{2+3x+4x^2+x^3}dx=\text{Exception raised: NotImplementedError}$$ Input:

integrate(1/(x^3+4*x^2+3*x+2),x, algorithm="giac")
                                                                                    
                                                                                    
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: 1/(3 
*(1/74*rootof([[-3,0,35,0,-164],[1,0,-14,0,49,0,152]]))^2+4/37*rootof([[-3 
,0,35,0,-164],[1,0,-14,0,49,0,152]])+3)*ln(sageVARx-1/74*rootof([[-3,0,35, 
0,-164],[1,0,-14,0,
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $159$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(2+3x+4x^2+x^3)}^2}dx=\text{Exception raised: NotImplementedError}$$ Input:

integrate(1/(x^3+4*x^2+3*x+2)^2,x, algorithm="giac")
 

Output:

Exception raised: NotImplementedError >> unable to parse Giac output: (7*s 
ageVARx^2+31*sageVARx+18)*1/76/(sageVARx^3+4*sageVARx^2+3*sageVARx+2)+((7/ 
74*rootof([[-3,0,35,0,-164],[1,0,-14,0,49,0,152]])+34)/(3*(1/74*rootof([[- 
3,0,35,0,-164],[1,0
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/142_1.3.1

Test file number $142$

Integral number in file $160$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{2\sqrt{3}{b}^{3/2}-9bx+9x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(2*3^(1/2)*b^(3/2)-9*b*x+9*x^3),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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $7$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{2-4x+3x^3}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $18$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{{(2-4x+3x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(3*x^3-4*x+2)^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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $19$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{2-6x+3x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(3*x^3-6*x+2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $25$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{{(2-6x+3x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(3*x^3-6*x+2)^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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $26$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{2-4x^2+3x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(3*x^3-4*x^2+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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $45$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{{(2-4x^2+3x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(3*x^3-4*x^2+2)^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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $46$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{2-6x^2+3x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(3*x^3-6*x^2+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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $52$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{{(2-6x^2+3x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(3*x^3-6*x^2+2)^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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $53$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3),x, alg 
orithm="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%%%{%%%{-972,[1]%%%}+%%%{162,[0]%%%},[2]%%%}+%%%{%%{[%%%{-324, 
[1]%%%}+%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $139$

Giac [F(-2)]

Exception generated. $$\int \frac{(e+fx{)}^2}{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)^2/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3),x, algorit 
hm="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%%%{%%%{-972,[1]%%%}+%%%{162,[0]%%%},[2]%%%}+%%%{%%{[%%%{-324, 
[1]%%%}+%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $140$

Giac [F(-2)]

Exception generated. $$\int \frac{e+fx}{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^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%%%{%%%{-972,[1]%%%}+%%%{162,[0]%%%},[2]%%%}+%%%{%%{[%%%{-324, 
[1]%%%}+%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $141$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^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%%%{%%%{-972,[1]%%%}+%%%{162,[0]%%%},[2]%%%}+%%%{%%{[%%%{-324, 
[1]%%%}+%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $142$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(e+fx)(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(f*x+e)/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3),x, algorit 
hm="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%%%{%%%{-972,[1]%%%}+%%%{162,[0]%%%},[2]%%%}+%%%{%%{[%%%{-324, 
[1]%%%}+%
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $143$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(e+fx{)}^2(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(f*x+e)^2/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3),x, algor 
ithm="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%%%{%%%{-972,[1]%%%}+%%%{162,[0]%%%},[2]%%%}+%%%{%%{[%%%{-324, 
[1]%%%}+%
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $144$

Giac [F(-2)]

Exception generated. $$\int \frac{(e+fx{)}^2}{{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)^2/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^2,x, algor 
ithm="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%%%{%%%{17006112,[3]%%%}+%%%{-8503056,[2]%%%}+%%%{1417176,[1]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $145$

Giac [F(-2)]

Exception generated. $$\int \frac{e+fx}{{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^2,x, algorit 
hm="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%%%{%%%{17006112,[3]%%%}+%%%{-8503056,[2]%%%}+%%%{1417176,[1]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $146$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^2,x, algorithm="gi 
ac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{17006112,[3]%%%}+%%%{-8503056,[2]%%%}+%%%{1417176,[1]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $147$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(e+fx){(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(f*x+e)/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^2,x, algor 
ithm="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%%%{%%%{17006112,[3]%%%}+%%%{-8503056,[2]%%%}+%%%{1417176,[1]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $148$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(e+fx{)}^2{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(f*x+e)^2/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^2,x, alg 
orithm="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%%%{%%%{17006112,[3]%%%}+%%%{-8503056,[2]%%%}+%%%{1417176,[1]% 
%%}+%%%{-
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $149$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}}{e+fx}dx=\text{Exception raised: TypeError}$$ Input:

integrate((1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(1/2)/(f*x+e),x, alg 
orithm="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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $153$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}}{(e+fx{)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(1/2)/(f*x+e)^2,x, a 
lgorithm="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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $154$

Giac [F(-2)]

Exception generated. $$\int \frac{(e+fx{)}^2}{\sqrt{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)^2/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(1/2),x, a 
lgorithm="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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $155$

Giac [F(-2)]

Exception generated. $$\int \frac{e+fx}{\sqrt{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(1/2),x, alg 
orithm="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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $156$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(e+fx)\sqrt{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(f*x+e)/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(1/2),x, a 
lgorithm="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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $158$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(e+fx{)}^2\sqrt{1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(f*x+e)^2/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $159$

Giac [F(-2)]

Exception generated. $$\int \frac{(e+fx{)}^2}{{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)^2/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(3/2),x, a 
lgorithm="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%%%{%%%{%%{[17794363111902506549001421627856069105221941539635 
2,0]:[1,0
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $160$

Giac [F(-2)]

Exception generated. $$\int \frac{e+fx}{{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(3/2),x, alg 
orithm="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%%%{%%%{%%{[17794363111902506549001421627856069105221941539635 
2,0]:[1,0
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $161$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(3/2),x, algorithm 
="giac")
 

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Unable to divide, perhaps due to ro 
unding error%%%{%%%{%%{[17794363111902506549001421627856069105221941539635 
2,0]:[1,0
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $162$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(e+fx){(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(f*x+e)/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(3/2),x, a 
lgorithm="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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $163$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(e+fx{)}^2{(1-(1-6b{)}^{3/2}-9b+54bx-54x^2+108x^3)}^{3/2}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(f*x+e)^2/(1-(1-6*b)^(3/2)-9*b+54*b*x-54*x^2+108*x^3)^(3/2),x, 
 algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $164$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{2+3x-5x^2+x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(x^3-5*x^2+3*x+2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $168$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{{(2+3x-5x^2+x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(x^3-5*x^2+3*x+2)^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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $169$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{2+3x+4x^2+x^3}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(x^3+4*x^2+3*x+2),x, algorithm="giac")
 

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $174$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2}{{(2+3x+4x^2+x^3)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((C*x^2+B*x+A)/(x^3+4*x^2+3*x+2)^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/1.3_Cubic/143_1.3.2

Test file number $143$

Integral number in file $175$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2+D{x}^3}{a+bx+c{x}^2+b{x}^3+a{x}^4}dx=\text{Exception raised: TypeError}$$ Input:

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

Output:

Exception raised: TypeError >> an error occurred running a Giac command:IN 
PUT:sage2:=int(sage0,sageVARx):;OUTPUT:Not invertible Error: Bad Argument 
Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.4_Quartic/145_1.4.2

Test file number $145$

Integral number in file $14$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2+D{x}^3}{88-402x+855x^2-837x^3+324x^4}dx=\text{Exception raised: TypeError}$$ Input:

integrate((D*x^3+C*x^2+B*x+A)/(324*x^4-837*x^3+855*x^2-402*x+88),x, algori 
thm="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/1.4_Quartic/145_1.4.2

Test file number $145$

Integral number in file $15$

Giac [F(-2)]

Exception generated. $$\int \frac{A+Bx+C{x}^2+D{x}^3}{{(88-402x+855x^2-837x^3+324x^4)}^2}dx=\text{Exception raised: TypeError}$$ Input:

integrate((D*x^3+C*x^2+B*x+A)/(324*x^4-837*x^3+855*x^2-402*x+88)^2,x, algo 
rithm="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/1.4_Quartic/145_1.4.2

Test file number $145$

Integral number in file $16$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(2^{2/3}-x)\sqrt{1-x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(2^(2/3)-x)/(-x^3+1)^(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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Bad 
Argument
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/147_1.7.2

Test file number $147$

Integral number in file $119$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(2^{2/3}-x)\sqrt{-1+x^3}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/147_1.7.2

Test file number $147$

Integral number in file $120$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(2^{2/3}+x)\sqrt{-1-x^3}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

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

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/147_1.7.2

Test file number $147$

Integral number in file $121$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(1+\sqrt{3}+x)\sqrt{1+x^3}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[2 
]%%%} / %%%{%%{[2,4]:[1,0,-3]%%},[2]%%%} Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/147_1.7.2

Test file number $147$

Integral number in file $127$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(1+\sqrt{3}-x)\sqrt{1-x^3}}dx=\text{Exception raised: RuntimeError}$$ Input:

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

Output:

Exception raised: RuntimeError >> an error occurred running a Giac command 
:INPUT:sage2OUTPUT:Unable to divide, perhaps due to rounding error%%%{1,[2 
]%%%} / %%%{%%{[2,4]:[1,0,-3]%%},[2]%%%} Error: Bad Argument Value
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/147_1.7.2

Test file number $147$

Integral number in file $128$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(1+\sqrt{3}-x)\sqrt{-1+x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(1+3^(1/2)-x)/(x^3-1)^(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%%%{1,[2]%%%} / %%%{%%{[2,4]:[1,0,-3]%%},[2]%%%} Error: Bad Ar 
gument Va
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/147_1.7.2

Test file number $147$

Integral number in file $129$

Giac [F(-2)]

Exception generated. $$\int \frac{1}{(1+\sqrt{3}+x)\sqrt{-1-x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate(1/(1+3^(1/2)+x)/(-x^3-1)^(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%%%{1,[2]%%%} / %%%{%%{[2,4]:[1,0,-3]%%},[2]%%%} Error: Bad Ar 
gument Va
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/147_1.7.2

Test file number $147$

Integral number in file $130$

Giac [F(-2)]

Exception generated. $$\int x^2(a+bx{)}^n{(c+d{x}^3)}^{3}dx=\text{Exception raised: TypeError}$$ Input:

integrate(x^2*(b*x+a)^n*(d*x^3+c)^3,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/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $35$

Giac [F(-2)]

Exception generated. $$\int \frac{\sqrt{c+ex+d{x}^2}\sqrt{a^2+2ab{x}^2+b^2{x}^4}}{x}dx=\text{Exception raised: TypeError}$$ Input:

integrate((d*x^2+e*x+c)^(1/2)*((b*x^2+a)^2)^(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/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $74$

Giac [F(-2)]

Exception generated. $$\int \frac{2^{2/3}-2x}{(2^{2/3}+x)\sqrt{1+x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((2^(2/3)-2*x)/(2^(2/3)+x)/(x^3+1)^(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%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error: Ba 
d Argumen
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $89$

Giac [F(-2)]

Exception generated. $$\int \frac{2^{2/3}+2x}{(2^{2/3}-x)\sqrt{1-x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((2^(2/3)+2*x)/(2^(2/3)-x)/(-x^3+1)^(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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Bad 
Argument
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $90$

Giac [F(-2)]

Exception generated. $$\int \frac{2^{2/3}+2x}{(2^{2/3}-x)\sqrt{-1+x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((2^(2/3)+2*x)/(2^(2/3)-x)/(x^3-1)^(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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Bad 
Argument
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $91$

Giac [F(-2)]

Exception generated. $$\int \frac{2^{2/3}-2x}{(2^{2/3}+x)\sqrt{-1-x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((2^(2/3)-2*x)/(2^(2/3)+x)/(-x^3-1)^(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%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error: Ba 
d Argumen
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $92$

Giac [F(-2)]

Exception generated. $$\int \frac{2+3x}{(2^{2/3}+x)\sqrt{1+x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((2+3*x)/(2^(2/3)+x)/(x^3+1)^(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%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error: Ba 
d Argumen
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $98$

Giac [F(-2)]

Exception generated. $$\int \frac{2+3x}{(2^{2/3}-x)\sqrt{1-x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((2+3*x)/(2^(2/3)-x)/(-x^3+1)^(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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Bad 
Argument
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $99$

Giac [F(-2)]

Exception generated. $$\int \frac{2+3x}{(2^{2/3}-x)\sqrt{-1+x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((2+3*x)/(2^(2/3)-x)/(x^3-1)^(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%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error: Ba 
d Argumen
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $100$

Giac [F(-2)]

Exception generated. $$\int \frac{e+fx}{(2^{2/3}+x)\sqrt{1+x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)/(2^(2/3)+x)/(x^3+1)^(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%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error: Ba 
d Argumen
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $102$

Giac [F(-2)]

Exception generated. $$\int \frac{e+fx}{(2^{2/3}-x)\sqrt{1-x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)/(2^(2/3)-x)/(-x^3+1)^(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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Bad 
Argument
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $103$

Giac [F(-2)]

Exception generated. $$\int \frac{e+fx}{(2^{2/3}-x)\sqrt{-1+x^3}}dx=\text{Exception raised: TypeError}$$ Input:

integrate((f*x+e)/(2^(2/3)-x)/(x^3-1)^(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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Bad 
Argument
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.5_Polynomial/148_1.7.3

Test file number $148$

Integral number in file $104$