Integrals 101 to 200

Fricas [F(-2)]

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

integrate((c+d*x^n)/(a+b*x^n)^(1/3),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(112\)

Fricas [F(-2)]

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

integrate((c+d*x^n)^2/(a+b*x^n)^(4/3),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(115\)

Fricas [F(-2)]

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

integrate((c+d*x^n)/(a+b*x^n)^(4/3),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number \(52\)

Integral number in file \(116\)

Fricas [F(-2)]

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

integrate((d*x^3+c)^(1/2)/x^2/(b*x^3+a),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(539\)

Fricas [F(-2)]

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

integrate((d*x^3+c)^(1/2)/x^3/(b*x^3+a),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/54_1.1.3.4_a

Test file number \(54\)

Integral number in file \(540\)

Fricas [F(-2)]

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

integrate(x^4/(b*x^6+a)/(d*x^6+c)^(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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(67\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\left (a+b x^6\right ) \sqrt {c+d x^6}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(b*x^6+a)/(d*x^6+c)^(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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(70\)

Fricas [F(-2)]

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

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

Output:

Exception raised: TypeError >>  Error detected within library code:   inte 
grate: implementation incomplete (trace 0)
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(211\)

Fricas [F(-2)]

Exception generated. \[ \int \left (1+b \sqrt {x}\right )^p \left (1+d \sqrt {x}\right )^q x^m \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1+b*x^(1/2))^p*(1+d*x^(1/2))^q*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(250\)

Fricas [F(-2)]

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

integrate((1+b*x^(1/2))^p*(1+d*x^(1/2))^q*(e*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(251\)

Fricas [F(-2)]

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

integrate((a+b*x^(1/2))^p*(c+d*x^(1/2))^q*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(252\)

Fricas [F(-2)]

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

integrate((a+b*x^(1/2))^p*(c+d*x^(1/2))^q*(e*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(253\)

Fricas [F(-2)]

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

integrate(x^2*(a+b*x^n)^(1/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(330\)

Fricas [F(-2)]

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

integrate(x*(a+b*x^n)^(1/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(331\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(1/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(332\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(1/2)*(A+B*x^n)/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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(334\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(1/2)*(A+B*x^n)/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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(335\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(1/2)*(A+B*x^n)/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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(336\)

Fricas [F(-2)]

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

integrate(x^2*(a+b*x^n)^(3/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(337\)

Fricas [F(-2)]

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

integrate(x*(a+b*x^n)^(3/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(338\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(3/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(339\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(3/2)*(A+B*x^n)/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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(341\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(3/2)*(A+B*x^n)/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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(342\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(3/2)*(A+B*x^n)/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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(343\)

Fricas [F(-2)]

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

integrate(x^2*(a+b*x^n)^(5/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(344\)

Fricas [F(-2)]

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

integrate(x*(a+b*x^n)^(5/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(345\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(5/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(346\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(5/2)*(A+B*x^n)/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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(348\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(5/2)*(A+B*x^n)/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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(349\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(5/2)*(A+B*x^n)/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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(350\)

Fricas [F(-2)]

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

integrate(x^2*(A+B*x^n)/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(351\)

Fricas [F(-2)]

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

integrate(x*(A+B*x^n)/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(352\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(353\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/x^2/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(355\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/x^3/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(356\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/x^4/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(357\)

Fricas [F(-2)]

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

integrate(x^2*(A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(358\)

Fricas [F(-2)]

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

integrate(x*(A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(359\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(360\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/x^2/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(362\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/x^3/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(363\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/x^4/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(364\)

Fricas [F(-2)]

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

integrate(x^2*(A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(365\)

Fricas [F(-2)]

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

integrate(x*(A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(366\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(367\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/x^2/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(369\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/x^3/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(370\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/x^4/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(371\)

Fricas [F(-2)]

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

integrate((e*x)^(3/2)*(a+b*x^n)^(1/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(372\)

Fricas [F(-2)]

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

integrate((e*x)^(1/2)*(a+b*x^n)^(1/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(373\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(1/2)*(A+B*x^n)/(e*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/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(374\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(1/2)*(A+B*x^n)/(e*x)^(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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(375\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(1/2)*(A+B*x^n)/(e*x)^(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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(376\)

Fricas [F(-2)]

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

integrate((e*x)^(3/2)*(a+b*x^n)^(3/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(377\)

Fricas [F(-2)]

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

integrate((e*x)^(1/2)*(a+b*x^n)^(3/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(378\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(3/2)*(A+B*x^n)/(e*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/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(379\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(3/2)*(A+B*x^n)/(e*x)^(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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(380\)

Fricas [F(-2)]

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

integrate((a+b*x^n)^(3/2)*(A+B*x^n)/(e*x)^(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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(381\)

Fricas [F(-2)]

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

integrate((e*x)^(3/2)*(A+B*x^n)/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(382\)

Fricas [F(-2)]

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

integrate((e*x)^(1/2)*(A+B*x^n)/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(383\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(e*x)^(1/2)/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(384\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(e*x)^(3/2)/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(385\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(e*x)^(5/2)/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(386\)

Fricas [F(-2)]

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

integrate((e*x)^(3/2)*(A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(387\)

Fricas [F(-2)]

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

integrate((e*x)^(1/2)*(A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(388\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(e*x)^(1/2)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(389\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(e*x)^(3/2)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(390\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(e*x)^(5/2)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(391\)

Fricas [F(-2)]

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

integrate((e*x)^(3/2)*(A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(392\)

Fricas [F(-2)]

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

integrate((e*x)^(1/2)*(A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(393\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(e*x)^(1/2)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(394\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(e*x)^(3/2)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(395\)

Fricas [F(-2)]

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

integrate((A+B*x^n)/(e*x)^(5/2)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(396\)

Fricas [F(-2)]

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

integrate((c*x)^m*(a+b*x^n)^(3/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(410\)

Fricas [F(-2)]

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

integrate((c*x)^m*(a+b*x^n)^(1/2)*(A+B*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(411\)

Fricas [F(-2)]

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

integrate((c*x)^m*(A+B*x^n)/(a+b*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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(412\)

Fricas [F(-2)]

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

integrate((c*x)^m*(A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(413\)

Fricas [F(-2)]

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

integrate((c*x)^m*(A+B*x^n)/(a+b*x^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/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number \(56\)

Integral number in file \(414\)

Fricas [F(-2)]

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

integrate(x^(3*n)/(a+b*x^n)^(1/2)/(c+d*x^n)/(e+f*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number \(59\)

Integral number in file \(65\)

Fricas [F(-2)]

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

integrate(x^(4*n)/(a+b*x^n)^(1/2)/(c+d*x^n)/(e+f*x^n),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.6/59_1.1.3.6_a

Test file number \(59\)

Integral number in file \(66\)

Fricas [F(-2)]

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

integrate((c*x)^m*(d+e*x^n+f*x^(2*n)+g*x^(3*n))/(a+b*x^n)^(1/2),x, algorit 
hm="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/1.1_Binomial/1.1.3_General_binomial/1.1.3.8/66_1.1.3.8_c

Test file number \(66\)

Integral number in file \(29\)

Fricas [F(-2)]

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

integrate((x^3+1)/(-x^4+1)/(x^4+1)^(1/4),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/1.1_Binomial/1.1.3_General_binomial/1.1.3.8/66_1.1.3.8_c

Test file number \(66\)

Integral number in file \(34\)

Fricas [F(-2)]

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

integrate((A+B*x^n+C*x^(2*n))/(a+b*x^n)^(1/2)/(e+f*x^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/1.1_Binomial/1.1.3_General_binomial/67_1.1.3.9

Test file number \(67\)

Integral number in file \(4\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{(1+x) \sqrt [6]{1+x^2}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(1+x)/(x^2+1)^(1/6),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/1.1_Binomial/1.1.4_Linear_quadratic_binomial/71_1.2.1.2

Test file number \(71\)

Integral number in file \(391\)

Fricas [F(-2)]

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

integrate(x*(a+b/(c+d*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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(314\)

Fricas [F(-2)]

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

integrate((a+b/(c+d*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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(315\)

Fricas [F(-2)]

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

integrate((a+b/(c+d*x^n))^(1/2)/x^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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(317\)

Fricas [F(-2)]

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

integrate((a+b/(c+d*x^n))^(1/2)/x^3,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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(318\)

Fricas [F(-2)]

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

integrate(x*(a+b/(c+d*x^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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(319\)

Fricas [F(-2)]

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

integrate((a+b/(c+d*x^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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(320\)

Fricas [F(-2)]

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

integrate((a+b/(c+d*x^n))^(3/2)/x^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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(322\)

Fricas [F(-2)]

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

integrate((a+b/(c+d*x^n))^(3/2)/x^3,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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(323\)

Fricas [F(-2)]

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

integrate(x/(a+b/(c+d*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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(324\)

Fricas [F(-2)]

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

integrate(1/(a+b/(c+d*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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(325\)

Fricas [F(-2)]

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

integrate(1/x^2/(a+b/(c+d*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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(327\)

Fricas [F(-2)]

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

integrate(1/x^3/(a+b/(c+d*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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(328\)

Fricas [F(-2)]

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

integrate(x/(a+b/(c+d*x^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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(329\)

Fricas [F(-2)]

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

integrate(1/(a+b/(c+d*x^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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(330\)

Fricas [F(-2)]

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

integrate(1/x^2/(a+b/(c+d*x^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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(332\)

Fricas [F(-2)]

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

integrate(1/x^3/(a+b/(c+d*x^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/1.1_Binomial/1.1.5_Nested_general_binomial/77_1.1.5.2

Test file number \(77\)

Integral number in file \(333\)