Integrals 2301 to 2338

Fricas [F(-2)]

Exception generated. $$\int \frac{1}{\sqrt[3]{x+x^3}(-1+x^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{b+a{x}^6}{\sqrt[3]{x+x^3}(d+c{x}^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{b+a{x}^6}{\sqrt[3]{x+x^3}(d+c{x}^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{\sqrt[3]{-x+x^3}(1+x^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1}{\sqrt[3]{-x+x^3}(1+x^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{-b+a{x}^6}{\sqrt[3]{-x+x^3}(-d+c{x}^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{-b+a{x}^6}{\sqrt[3]{-x+x^3}(-d+c{x}^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x}{x+\sqrt{c+\sqrt{b+ax}}}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{x}{x+\sqrt{c+\sqrt{b+ax}}}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{1+x}{(3+x)(1+2x)\sqrt[3]{1+x^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt[3]{x+x^3}(b+a{x}^6)}{d+c{x}^6}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt[3]{x+x^3}(b+a{x}^6)}{d+c{x}^6}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(-1+2x^6)\sqrt[3]{x+x^7}}{(1-2x^2+x^6)(1-x^2+x^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{2+3x}{\sqrt[3]{4+3x^2}(-12+52x+9x^2)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt[3]{-x+x^3}(-b+a{x}^6)}{-d+c{x}^6}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt[3]{-x+x^3}(-b+a{x}^6)}{-d+c{x}^6}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(-2+x^3)\sqrt[3]{x+x^3+x^4}}{(1+x^3)(1-x^2+x^3)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(-2+x)\sqrt[3]{x-x^2+x^3}}{(-1+x)(-1+x+x^2)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(-2+x^3)\sqrt[3]{x+2x^3+x^4}}{(1+x^3)(1+x^2+x^3)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1+2x^6}{\sqrt[3]{x+x^3}(-1+x^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1+2x^6}{\sqrt[3]{x+x^3}(-1+x^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(2+5x^7)\sqrt[3]{-x-x^3+x^8}}{(-1+x^7)(-1+x^2+x^7)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{\sqrt{-b+ax}}{1+\sqrt{ax+\sqrt{-b+ax}}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1-\sqrt{x-\sqrt{1+x^2}}}{x^4-2x^2\sqrt{1+x^2}}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{1+x}{(1+2x)\sqrt[3]{27+27x+36x^2+28x^3+9x^4+x^5}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{{(1+x^3)}^{2/3}(-1+x^6)}{x^6(-1-2x^3+2x^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{x}{x-\sqrt{b+ax}\sqrt{c+\sqrt{b+ax}}}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{x}{x-\sqrt{b+ax}\sqrt{c+\sqrt{b+ax}}}dx=\text{Exception raised: AttributeError}$$ 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. $$\int \frac{(-2x+(1+k)x^2)(1-(1+k)x+(a+k)x^2)}{((1-x)x(1-kx){)}^{2/3}(1-2(1+k)x+(1+4k+k^2)x^2-2(k+k^2)x^3+(-b+k^2)x^4)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{(-2+(1+k)x)(1-(1+k)x+(a+k)x^2)}{\sqrt[3]{(1-x)x(1-kx)}(1-(2+2k)x+(1+4k+k^2)x^2-2(k+k^2)x^3+(-b+k^2)x^4)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1-x^3+x^6}{\sqrt[3]{x^2+x^4}(-1+x^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1+x^3+x^6}{\sqrt[3]{x^2+x^4}(-1+x^6)}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1+x}{(-3+x^2)\sqrt[3]{1+x^2}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1+x}{\sqrt[3]{27+189x+522x^2+784x^3+825x^4+679x^5+338x^6+84x^7+8x^8}}dx=\text{Exception raised: TypeError}$$ 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. $$\int \frac{1+2x}{\sqrt[3]{-1+x^2}(3+x^2)}dx=\text{Exception raised: TypeError}$$ 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 $3072$