Integrals 301 to 400

Fricas [F(-2)]

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

integrate(x*(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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

Test file number \(126\)

Integral number in file \(221\)

Fricas [F(-2)]

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

integrate((a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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

Test file number \(126\)

Integral number in file \(222\)

Fricas [F(-2)]

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

integrate((a+b*x^n+c*x^(2*n))^(3/2)/x^2,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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

Test file number \(126\)

Integral number in file \(224\)

Fricas [F(-2)]

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

integrate((a+b*x^n+c*x^(2*n))^(3/2)/x^3,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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

Test file number \(126\)

Integral number in file \(225\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(226\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(227\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(228\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(229\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(231\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^3 \sqrt {a+b x^n+c x^{2 n}}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(232\)

Fricas [F(-2)]

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

integrate(x^3/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(233\)

Fricas [F(-2)]

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

integrate(x^2/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(234\)

Fricas [F(-2)]

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

integrate(x/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(235\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(236\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
                                                                                    
                                                                                    
 

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

Test file number \(126\)

Integral number in file \(238\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(239\)

Fricas [F(-2)]

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

integrate((d*x)^m*(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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

Test file number \(126\)

Integral number in file \(245\)

Fricas [F(-2)]

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

integrate((d*x)^m*(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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

Test file number \(126\)

Integral number in file \(246\)

Fricas [F(-2)]

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

integrate((d*x)^m/(a+b*x^n+c*x^(2*n))^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(247\)

Fricas [F(-2)]

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

integrate((d*x)^m/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(126\)

Integral number in file \(248\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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

Test file number \(128\)

Integral number in file \(83\)

Fricas [F(-2)]

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

integrate((d+e*x^n)*(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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

Test file number \(128\)

Integral number in file \(84\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(128\)

Integral number in file \(85\)

Fricas [F(-2)]

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

integrate((d+e*x^n)/(a+b*x^n+c*x^(2*n))^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(128\)

Integral number in file \(86\)

Fricas [F(-2)]

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

integrate((d+e*x^n)/(a+b*x^n+c*x^(2*n))^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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

Test file number \(128\)

Integral number in file \(87\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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 \(23\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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 \(24\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

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 \(25\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(26\)

Fricas [F(-2)]

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

integrate((A+B*x^n+C*x^(2*n))/(a+b*x^n+c*x^(2*n))^(5/2),x, algorithm="fric 
as")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(27\)

Fricas [F(-2)]

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

integrate(x^(-1+1/2*q)/(b*x^n+c*x^(2*n-q)+a*x^q)^(1/2),x, algorithm="frica 
s")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

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 \(87\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^4}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^4/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, al 
gorithm="fricas")
 

Output:

Exception raised: RuntimeError >> no explicit roots found
 

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 \(8\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^3}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x^3/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, al 
gorithm="fricas")
 

Output:

Exception raised: RuntimeError >> no explicit roots found
 

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 \(9\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(x/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algo 
rithm="fricas")
 

Output:

Exception raised: RuntimeError >> no explicit roots found
 

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 \(11\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/(b^3*x^6+9*a*b^2*x^4+27*a^2*c*x^3+27*a^2*b*x^2+27*a^3),x, algo 
rithm="fricas")
 

Output:

Exception raised: RuntimeError >> no explicit roots found
 

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 \(12\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   catd 
ef: division by zero
                                                                                    
                                                                                    
 

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 \(120\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   catd 
ef: division by zero
 

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 \(121\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   catd 
ef: division by zero
 

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 \(100\)

Fricas [F(-2)]

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

integrate((1+3^(1/2)+x)/(d*x+c)/(-x^3-1)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   catd 
ef: division by zero
 

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 \(193\)

Fricas [F(-2)]

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

integrate((1-3^(1/2)+x)/(d*x+c)/(-x^3-1)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   catd 
ef: division by zero
 

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 \(197\)

Fricas [F(-2)]

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

integrate((-d*x+c)/(d*x+c)/(d^3*x^3+2*c^3)^(1/3),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (residue poly has multiple non-linear fac 
tors)
 

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 \(218\)

Fricas [F(-2)]

Exception generated. \[ \int x^2 \sqrt {d x^n} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^2*(d*x^n)^(1/2),x, algorithm="fricas")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(162\)

Fricas [F(-2)]

Exception generated. \[ \int x \sqrt {d x^n} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x*(d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(163\)

Fricas [F(-2)]

Exception generated. \[ \int \sqrt {d x^n} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(164\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d x^n}}{x^2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*x^n)^(1/2)/x^2,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(166\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt {d x^n}}{x^3} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((d*x^n)^(1/2)/x^3,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(167\)

Fricas [F(-2)]

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

integrate(x*(d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(168\)

Fricas [F(-2)]

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

integrate((d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(169\)

Fricas [F(-2)]

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

integrate((d*x^n)^(3/2)/x^2,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(171\)

Fricas [F(-2)]

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

integrate((d*x^n)^(3/2)/x^3,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(172\)

Fricas [F(-2)]

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

integrate((d*x^n)^(3/2)/x^4,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(173\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^2}{\sqrt {d x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^2/(d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(174\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x}{\sqrt {d x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x/(d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(175\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {d x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(176\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^2 \sqrt {d x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x^2/(d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(178\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{x^3 \sqrt {d x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/x^3/(d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(179\)

Fricas [F(-2)]

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

integrate(x^2/(d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(180\)

Fricas [F(-2)]

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

integrate(x/(d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(181\)

Fricas [F(-2)]

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

integrate(1/(d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(182\)

Fricas [F(-2)]

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

integrate(1/x^2/(d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(184\)

Fricas [F(-2)]

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

integrate(1/x^3/(d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(185\)

Fricas [F(-2)]

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

integrate(1/x^4/(d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(186\)

Fricas [F(-2)]

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

integrate(x^m*(d*x^n)^(3/2),x, algorithm="fricas")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(187\)

Fricas [F(-2)]

Exception generated. \[ \int x^m \sqrt {d x^n} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^m*(d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(188\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^m}{\sqrt {d x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(x^m/(d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(189\)

Fricas [F(-2)]

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

integrate(x^m/(d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(190\)

Fricas [F(-2)]

Exception generated. \[ \int (c x)^m \left (d x^n\right )^{5/2} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((c*x)^m*(d*x^n)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(191\)

Fricas [F(-2)]

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

integrate((c*x)^m*(d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(192\)

Fricas [F(-2)]

Exception generated. \[ \int (c x)^m \sqrt {d x^n} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((c*x)^m*(d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(193\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {(c x)^m}{\sqrt {d x^n}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((c*x)^m/(d*x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(194\)

Fricas [F(-2)]

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

integrate((c*x)^m/(d*x^n)^(3/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(195\)

Fricas [F(-2)]

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

integrate((c*x)^m/(d*x^n)^(5/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(196\)

Fricas [F(-2)]

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

integrate((a*x^(2*n))^(1/2)/(1+x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(510\)

Fricas [F(-2)]

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

integrate((a*x^n)^(1/2)/(1+x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(511\)

Fricas [F(-2)]

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

integrate((a*x^(1/2*n))^(1/2)/(1+x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (constant residues)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(512\)

Fricas [F(-2)]

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

integrate((a*x^(2*n))^(1/2)/(1+x^n)^(1/2)+2*(a*x^(2*n))^(1/2)/(2+n)/(x^n)/ 
(1+x^n)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/149_1.6.1

Test file number \(149\)

Integral number in file \(513\)

Fricas [F(-2)]

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

integrate((d*x)^m*(a+b*(c*x)^(3/2))^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(13\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(14\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(15\)

Fricas [F(-2)]

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

integrate((d*x)^m*(a+b/(c*x)^(3/2))^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(16\)

Fricas [F(-2)]

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

integrate((d*x)^m*(a+b*(c*x^3)^(3/2))^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(76\)

Fricas [F(-2)]

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

integrate((d*x)^m*(a+b*(c*x^3)^(1/2))^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(77\)

Fricas [F(-2)]

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

integrate((d*x)^m*(a+b/(c*x^3)^(1/2))^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(78\)

Fricas [F(-2)]

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

integrate((d*x)^m*(a+b/(c*x^3)^(3/2))^(1/2),x, algorithm="fricas")
                                                                                    
                                                                                    
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(79\)

Fricas [F(-2)]

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

integrate((a+b*(c/x)^(3/2))^(1/2)*(d*x)^m,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(93\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(94\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(95\)

Fricas [F(-2)]

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

integrate((a+b/(c/x)^(3/2))^(1/2)*(d*x)^m,x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(96\)

Fricas [F(-2)]

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

integrate((d*x)^m/(a+b*(c/x)^(3/2))^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(97\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(98\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(99\)

Fricas [F(-2)]

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

integrate((d*x)^m/(a+b/(c/x)^(3/2))^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(100\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(166\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/150_1.6.2

Test file number \(150\)

Integral number in file \(167\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{a c+b c x^3+d \sqrt {a+b x^3}} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

Exception raised: TypeError >>  Error detected within library code:   Not 
integrable (provided residues have no relations)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.6_Miscellaneous/154_1.6.7

Test file number \(154\)

Integral number in file \(65\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number \(155\)

Integral number in file \(466\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   algl 
ogextint: unimplemented
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number \(155\)

Integral number in file \(472\)

Fricas [F(-2)]

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

integrate((1+exp(x))/(exp(x)+x)^(1/2),x, algorithm="fricas")
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number \(155\)

Integral number in file \(655\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number \(155\)

Integral number in file \(659\)

Fricas [F(-2)]

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

integrate(1/(exp(x)+x)^(1/2)+exp(x)/(exp(x)+x)^(1/2),x, algorithm="fricas" 
)
 

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (has polynomial part)
 

input file name test_cases/rubi_tests/2_Exponentials/155_2_Exponential_functions

Test file number \(155\)

Integral number in file \(667\)