Integrals 2301 to 2338

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt [3]{x+x^3} \left (-1+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(x^3+x)^(1/3)/(x^6-1),x, algorithm="fricas")
 

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2202\)

Fricas [F(-2)]

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

integrate((a*x^6+b)/(x^3+x)^(1/3)/(c*x^6+d),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2213\)

Fricas [F(-2)]

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

integrate((a*x^6+b)/(x^3+x)^(1/3)/(c*x^6+d),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2214\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt [3]{-x+x^3} \left (1+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(x^3-x)^(1/3)/(x^6+1),x, algorithm="fricas")
 

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2276\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt [3]{-x+x^3} \left (1+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate(1/(x^3-x)^(1/3)/(x^6+1),x, algorithm="fricas")
 

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2277\)

Fricas [F(-2)]

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

integrate((a*x^6-b)/(x^3-x)^(1/3)/(c*x^6-d),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2288\)

Fricas [F(-2)]

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

integrate((a*x^6-b)/(x^3-x)^(1/3)/(c*x^6-d),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2289\)

Fricas [F(-2)]

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

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

Output:

Exception raised: AttributeError
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2303\)

Fricas [F(-2)]

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

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

Output:

Exception raised: AttributeError
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2304\)

Fricas [F(-2)]

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

integrate((1+x)/(3+x)/(1+2*x)/(x^2+1)^(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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2337\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2353\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2354\)

Fricas [F(-2)]

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

integrate((x^3+x)^(1/3)*(a*x^6+b)/(c*x^6+d),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2386\)

Fricas [F(-2)]

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

integrate((x^3+x)^(1/3)*(a*x^6+b)/(c*x^6+d),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2387\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (-1+2 x^6\right ) \sqrt [3]{x+x^7}}{\left (1-2 x^2+x^6\right ) \left (1-x^2+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((2*x^6-1)*(x^7+x)^(1/3)/(x^6-2*x^2+1)/(x^6-x^2+1),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2388\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {2+3 x}{\sqrt [3]{4+3 x^2} \left (-12+52 x+9 x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((2+3*x)/(3*x^2+4)^(1/3)/(9*x^2+52*x-12),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2432\)

Fricas [F(-2)]

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

integrate((x^3-x)^(1/3)*(a*x^6-b)/(c*x^6-d),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2474\)

Fricas [F(-2)]

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

integrate((x^3-x)^(1/3)*(a*x^6-b)/(c*x^6-d),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2475\)

Fricas [F(-2)]

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

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

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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2506\)

Fricas [F(-2)]

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

integrate((-2+x)*(x^3-x^2+x)^(1/3)/(-1+x)/(x^2+x-1),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2593\)

Fricas [F(-2)]

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

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

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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2596\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1+2 x^6}{\sqrt [3]{x+x^3} \left (-1+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((2*x^6+1)/(x^3+x)^(1/3)/(x^6-1),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2658\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1+2 x^6}{\sqrt [3]{x+x^3} \left (-1+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((2*x^6+1)/(x^3+x)^(1/3)/(x^6-1),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2659\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (2+5 x^7\right ) \sqrt [3]{-x-x^3+x^8}}{\left (-1+x^7\right ) \left (-1+x^2+x^7\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((5*x^7+2)*(x^8-x^3-x)^(1/3)/(x^7-1)/(x^7+x^2-1),x, algorithm="fr 
icas")
 

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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2697\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2715\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1-\sqrt {x-\sqrt {1+x^2}}}{x^4-2 x^2 \sqrt {1+x^2}} \, dx=\text {Exception raised: AttributeError} \] Input:

integrate((1-(x-(x^2+1)^(1/2))^(1/2))/(x^4-2*x^2*(x^2+1)^(1/2)),x, algorit 
hm="fricas")
 

Output:

Exception raised: AttributeError >> NoneType object has no attribute repla 
ce
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2746\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1+x}{(1+2 x) \sqrt [3]{27+27 x+36 x^2+28 x^3+9 x^4+x^5}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1+x)/(1+2*x)/(x^5+9*x^4+28*x^3+36*x^2+27*x+27)^(1/3),x, algorit 
hm="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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2875\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {x^4}{1-x \sqrt {1+x^2} \sqrt {x-\sqrt {1+x^2}}} \, dx=\text {Exception raised: AttributeError} \] Input:

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

Output:

Exception raised: AttributeError >> NoneType object has no attribute repla 
ce
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2884\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (-1+x^6\right )}{x^6 \left (-1-2 x^3+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:

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

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2908\)

Fricas [F(-2)]

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

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

Output:

Exception raised: AttributeError
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2976\)

Fricas [F(-2)]

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

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

Output:

Exception raised: AttributeError
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2977\)

Fricas [F(-2)]

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

integrate((-2*x+(1+k)*x^2)*(1-(1+k)*x+(a+k)*x^2)/((1-x)*x*(-k*x+1))^(2/3)/ 
(1-2*(1+k)*x+(k^2+4*k+1)*x^2-2*(k^2+k)*x^3+(k^2-b)*x^4),x, algorithm="fric 
as")
 

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2978\)

Fricas [F(-2)]

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

integrate((-2+(1+k)*x)*(1-(1+k)*x+(a+k)*x^2)/((1-x)*x*(-k*x+1))^(1/3)/(1-( 
2+2*k)*x+(k^2+4*k+1)*x^2-2*(k^2+k)*x^3+(k^2-b)*x^4),x, algorithm="fricas")
 

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2979\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1-x^3+x^6}{\sqrt [3]{x^2+x^4} \left (-1+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((x^6-x^3+1)/(x^4+x^2)^(1/3)/(x^6-1),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(3025\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1+x^3+x^6}{\sqrt [3]{x^2+x^4} \left (-1+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((x^6+x^3+1)/(x^4+x^2)^(1/3)/(x^6-1),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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(3026\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(3056\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {1+x}{\sqrt [3]{27+189 x+522 x^2+784 x^3+825 x^4+679 x^5+338 x^6+84 x^7+8 x^8}} \, dx=\text {Exception raised: TypeError} \] Input:

integrate((1+x)/(8*x^8+84*x^7+338*x^6+679*x^5+825*x^4+784*x^3+522*x^2+189* 
x+27)^(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/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(3070\)

Fricas [F(-2)]

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

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

Output:

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

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(3072\)