Exception generated. \[ \int \frac {e^{\frac {1}{2} \left (-10+\log \left (15-12 x \log \left (2+\log ^2\left (4+x^2\right )\right )\right )\right )} \left (8 x^2 \log \left (4+x^2\right )+\left (16+4 x^2+\left (8+2 x^2\right ) \log ^2\left (4+x^2\right )\right ) \log \left (2+\log ^2\left (4+x^2\right )\right )\right )}{-40-10 x^2+\left (-20-5 x^2\right ) \log ^2\left (4+x^2\right )+\left (32 x+8 x^3+\left (16 x+4 x^3\right ) \log ^2\left (4+x^2\right )\right ) \log \left (2+\log ^2\left (4+x^2\right )\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((2*x^2+8)*log(x^2+4)^2+4*x^2+16)*log(log(x^2+4)^2+2)+8*x^2*log (x^2+4))*exp(1/2*log(-12*x*log(log(x^2+4)^2+2)+15)-5)/(((4*x^3+16*x)*log(x ^2+4)^2+8*x^3+32*x)*log(log(x^2+4)^2+2)+(-5*x^2-20)*log(x^2+4)^2-10*x^2-40 ),x, algorithm="fricas")
Output:
Exception raised: TypeError >> Error detected within library code: inte grate: implementation incomplete (constant residues)
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(878\)
Exception generated. \[ \int \frac {e^{2 e^{\frac {1}{3} \left (-3+\log \left (\frac {e^4 x+x^2-3 x \log (x)}{e^4+x}\right )\right )}+\frac {1}{3} \left (-3+\log \left (\frac {e^4 x+x^2-3 x \log (x)}{e^4+x}\right )\right )} \left (-2 e^8+e^4 (6-4 x)+6 x-2 x^2+6 e^4 \log (x)\right )}{-3 e^8 x-6 e^4 x^2-3 x^3+\left (9 e^4 x+9 x^2\right ) \log (x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((6*exp(4)*log(x)-2*exp(4)^2+(6-4*x)*exp(4)-2*x^2+6*x)*exp(1/3*lo g((-3*x*log(x)+x*exp(4)+x^2)/(x+exp(4)))-1)*exp(2*exp(1/3*log((-3*x*log(x) +x*exp(4)+x^2)/(x+exp(4)))-1))/((9*x*exp(4)+9*x^2)*log(x)-3*x*exp(4)^2-6*x ^2*exp(4)-3*x^3),x, algorithm="fricas")
Output:
Exception raised: TypeError >> Error detected within library code: do_a lg_rde: unimplemented kernel
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2066\)
Exception generated. \[ \int \frac {\left (20 x^2-4 x^4\right ) \log \left (5-x^2\right )+\left (-10 x^3+2 x^5\right ) \log \left (5-x^2\right ) \log \left (\log \left (5-x^2\right )\right )+\sqrt {2-x \log \left (\log \left (5-x^2\right )\right )} \left (2 x^3+\left (-20+4 x^2\right ) \log \left (5-x^2\right )+\left (5 x-x^3\right ) \log \left (5-x^2\right ) \log \left (\log \left (5-x^2\right )\right )\right )}{\left (20 x^2-4 x^4\right ) \log \left (5-x^2\right )+\left (-10 x^3+2 x^5\right ) \log \left (5-x^2\right ) \log \left (\log \left (5-x^2\right )\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-x^3+5*x)*log(-x^2+5)*log(log(-x^2+5))+(4*x^2-20)*log(-x^2+5) +2*x^3)*(-x*log(log(-x^2+5))+2)^(1/2)+(2*x^5-10*x^3)*log(-x^2+5)*log(log(- x^2+5))+(-4*x^4+20*x^2)*log(-x^2+5))/((2*x^5-10*x^3)*log(-x^2+5)*log(log(- x^2+5))+(-4*x^4+20*x^2)*log(-x^2+5)),x, algorithm="fricas")
Output:
Exception raised: TypeError >> Error detected within library code: inte grate: implementation incomplete (constant residues)
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2285\)
Exception generated. \[ \int \frac {e^{\sqrt {\frac {200-25 \log \left (e^x x\right )}{x}}} \left (16+\sqrt {\frac {200-25 \log \left (e^x x\right )}{x}} \left (9+x-\log \left (e^x x\right )\right )-2 \log \left (e^x x\right )\right )}{-16 x^2+2 x^2 \log \left (e^x x\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(((-log(exp(x)*x)+x+9)*((-25*log(exp(x)*x)+200)/x)^(1/2)-2*log(ex p(x)*x)+16)*exp(((-25*log(exp(x)*x)+200)/x)^(1/2))/(2*x^2*log(exp(x)*x)-16 *x^2),x, algorithm="fricas")
Output:
Exception raised: TypeError >> Error detected within library code: do_a lg_rde: unimplemented kernel
input file name test_cases/extra_tests/362_Hebisch_2
Test file number \(362\)
Integral number in file \(2642\)
Exception generated. \[ \int \frac {-3 x^4+3 e^{\frac {25+10 e^3 x+e^6 x^2}{x^2}} x^3 \log (x)+e^{\frac {1}{3} \left (-5+\log \left (-x+e^{\frac {25+10 e^3 x+e^6 x^2}{x^2}} \log (x)\right )\right )} \left (e^{\frac {25+10 e^3 x+e^6 x^2}{x^2}} x^2-x^3+e^{\frac {25+10 e^3 x+e^6 x^2}{x^2}} \left (-50-10 e^3 x\right ) \log (x)\right )}{-3 x^4+3 e^{\frac {25+10 e^3 x+e^6 x^2}{x^2}} x^3 \log (x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((((-10*x*exp(3)-50)*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)*log(x )+x^2*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)-x^3)*exp(1/3*log(exp((x^2*exp (3)^2+10*x*exp(3)+25)/x^2)*log(x)-x)-5/3)+3*x^3*exp((x^2*exp(3)^2+10*x*exp (3)+25)/x^2)*log(x)-3*x^4)/(3*x^3*exp((x^2*exp(3)^2+10*x*exp(3)+25)/x^2)*l og(x)-3*x^4),x, algorithm="fricas")
Output:
Exception raised: TypeError >> Error detected within library code: inte grate: implementation incomplete (constant residues)
input file name test_cases/extra_tests/363_Hebisch_3
Test file number \(363\)
Integral number in file \(2482\)
Exception generated. \[ \int \frac {\left (2+x+x^2\right ) \sqrt [3]{-1+x^3}}{x \left (-1+x^2\right )^2 \left (-3-2 x+x^2+x^3\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2+x+2)*(x^3-1)^(1/3)/x/(x^2-1)^2/(x^3+x^2-2*x-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/365_Goursat
Test file number \(365\)
Integral number in file \(9\)
Exception generated. \[ \int \frac {1+x^2}{\left (-1+x^2\right ) \left (2+x^2\right ) \sqrt {-3+x^4}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2+1)/(x^2-1)/(x^2+2)/(x^4-3)^(1/2),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 \(278\)
Exception generated. \[ \int \frac {\sqrt {1+x^2+x^6} \left (-1+2 x^6\right )}{\left (1+x^6\right ) \left (2-x^2+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^6+x^2+1)^(1/2)*(2*x^6-1)/(x^6+1)/(2*x^6-x^2+2),x, algorithm=" fricas")
Output:
Exception raised: TypeError >> Error detected within library code: catd ef: division by zero
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(600\)
Exception generated. \[ \int \frac {\left (2+x^3\right ) \sqrt [3]{x-x^4}}{1+x^2-2 x^3-x^4-x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+2)*(-x^4+x)^(1/3)/(x^6-x^5-x^4-2*x^3+x^2+1),x, algorithm="f ricas")
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 \(695\)
Exception generated. \[ \int \frac {\left (2+x^3\right ) \sqrt [3]{x-x^4}}{1+x^2-2 x^3-x^4-x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+2)*(-x^4+x)^(1/3)/(x^6-x^5-x^4-2*x^3+x^2+1),x, algorithm="f ricas")
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 \(696\)
Exception generated. \[ \int \frac {\left (-2+x^3\right ) \sqrt [3]{x+x^3+x^4}}{1+x^2+2 x^3+x^4+x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-2)*(x^4+x^3+x)^(1/3)/(x^6+x^5+x^4+2*x^3+x^2+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 \(715\)
Exception generated. \[ \int \frac {\left (-2+x^3\right ) \sqrt [3]{x+x^3+x^4}}{1+x^2+2 x^3+x^4+x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-2)*(x^4+x^3+x)^(1/3)/(x^6+x^5+x^4+2*x^3+x^2+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 \(716\)
Exception generated. \[ \int \frac {x (3+4 x) \sqrt [3]{-1-2 x+x^3}}{-2-8 x-8 x^2+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x*(3+4*x)*(x^3-2*x-1)^(1/3)/(x^6-8*x^2-8*x-2),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 \(765\)
Exception generated. \[ \int \frac {x (3+4 x) \sqrt [3]{-1-2 x+x^3}}{-2-8 x-8 x^2+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x*(3+4*x)*(x^3-2*x-1)^(1/3)/(x^6-8*x^2-8*x-2),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 \(766\)
Exception generated. \[ \int \frac {(3+2 x) \left (1+x+x^3\right )^{2/3}}{1+2 x+x^2+x^3+x^4+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((3+2*x)*(x^3+x+1)^(2/3)/(x^6+x^4+x^3+x^2+2*x+1),x, algorithm="fr icas")
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 \(767\)
Exception generated. \[ \int \frac {(3+2 x) \left (1+x+x^3\right )^{2/3}}{1+2 x+x^2+x^3+x^4+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((3+2*x)*(x^3+x+1)^(2/3)/(x^6+x^4+x^3+x^2+2*x+1),x, algorithm="fr icas")
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 \(768\)
Exception generated. \[ \int \frac {\left (2+x^3\right ) \sqrt [3]{x+x^3-x^4}}{1+x^2-2 x^3+x^4-x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+2)*(-x^4+x^3+x)^(1/3)/(x^6-x^5+x^4-2*x^3+x^2+1),x, algorith m="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 \(769\)
Exception generated. \[ \int \frac {\left (2+x^3\right ) \sqrt [3]{x+x^3-x^4}}{1+x^2-2 x^3+x^4-x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+2)*(-x^4+x^3+x)^(1/3)/(x^6-x^5+x^4-2*x^3+x^2+1),x, algorith m="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 \(770\)
Exception generated. \[ \int \frac {\left (3+x^2\right ) \left (1+x^2+x^3\right )^{2/3}}{-1-2 x^2+x^3-x^4+x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2+3)*(x^3+x^2+1)^(2/3)/(x^6+x^5-x^4+x^3-2*x^2-1),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 \(771\)
Exception generated. \[ \int \frac {\left (3+x^2\right ) \left (1+x^2+x^3\right )^{2/3}}{-1-2 x^2+x^3-x^4+x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2+3)*(x^3+x^2+1)^(2/3)/(x^6+x^5-x^4+x^3-2*x^2-1),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 \(772\)
Exception generated. \[ \int \frac {x \sqrt [3]{2-x^3+x^8} \left (-6+5 x^8\right )}{4+x^6+4 x^8+x^{16}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x*(x^8-x^3+2)^(1/3)*(5*x^8-6)/(x^16+4*x^8+x^6+4),x, algorithm="f ricas")
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 \(774\)
Exception generated. \[ \int \frac {\left (-3+x^2\right ) \left (1-x^2+x^3\right )^{2/3}}{1-2 x^2-x^3+x^4+x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2-3)*(x^3-x^2+1)^(2/3)/(x^6+x^5+x^4-x^3-2*x^2+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 \(801\)
Exception generated. \[ \int \frac {\left (-3+x^2\right ) \left (1-x^2+x^3\right )^{2/3}}{1-2 x^2-x^3+x^4+x^5+x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2-3)*(x^3-x^2+1)^(2/3)/(x^6+x^5+x^4-x^3-2*x^2+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 \(802\)
Exception generated. \[ \int \frac {1}{\sqrt [3]{x+x^3} \left (b+a x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/(x^3+x)^(1/3)/(a*x^6+b),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 \(804\)
Exception generated. \[ \int \frac {1}{\sqrt [3]{x+x^3} \left (b+a x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/(x^3+x)^(1/3)/(a*x^6+b),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 \(805\)
Exception generated. \[ \int \frac {\left (-2+5 x^7\right ) \sqrt [3]{2 x+x^3+2 x^8}}{4+x^4+8 x^7+4 x^{14}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((5*x^7-2)*(2*x^8+x^3+2*x)^(1/3)/(4*x^14+8*x^7+x^4+4),x, algorith m="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 \(810\)
Exception generated. \[ \int \frac {\left (-2+5 x^7\right ) \sqrt [3]{2 x+x^3+2 x^8}}{4+x^4+8 x^7+4 x^{14}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((5*x^7-2)*(2*x^8+x^3+2*x)^(1/3)/(4*x^14+8*x^7+x^4+4),x, algorith m="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 \(811\)
Exception generated. \[ \int \frac {-b+a x^6}{\left (b+a x^6\right ) \sqrt [3]{-b+a^3 x^3+a x^6}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a*x^6-b)/(a*x^6+b)/(a*x^6+a^3*x^3-b)^(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 \(860\)
Exception generated. \[ \int \frac {-b+a x^6}{\left (b+a x^6\right ) \sqrt [3]{-b+a^3 x^3+a x^6}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((a*x^6-b)/(a*x^6+b)/(a*x^6+a^3*x^3-b)^(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 \(861\)
Exception generated. \[ \int \frac {\left (2+x^2\right ) \sqrt [4]{-1-x^2+x^4} \left (1+x^2+x^4\right )}{x^6 \left (1+x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2+2)*(x^4-x^2-1)^(1/4)*(x^4+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 \(899\)
Exception generated. \[ \int \frac {\sqrt [3]{-x+x^3}}{b+a x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-x)^(1/3)/(a*x^6+b),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 \(937\)
Exception generated. \[ \int \frac {\sqrt [3]{-x+x^3}}{b+a x^6} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-x)^(1/3)/(a*x^6+b),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 \(938\)
Exception generated. \[ \int \frac {\left (-2+x^3\right ) \left (1+x^3\right )^{2/3}}{x^3 \left (2+x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(x^6+x^3+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 \(962\)
Exception generated. \[ \int \frac {\left (-2+x^3\right ) \left (1+x^3\right )^{2/3}}{x^3 \left (2+x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(x^6+x^3+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 \(963\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (2+x^3+2 x^6\right )}{x^6 \left (1+x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(2*x^6+x^3+2)/x^6/(x^6+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 \(1005\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (2+x^3+2 x^6\right )}{x^6 \left (1+x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(2*x^6+x^3+2)/x^6/(x^6+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 \(1006\)
Exception generated. \[ \int \frac {1}{\sqrt [3]{-b x+a x^3} \left (d+c x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/(a*x^3-b*x)^(1/3)/(c*x^6+d),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 \(1020\)
Exception generated. \[ \int \frac {1}{\sqrt [3]{-b x+a x^3} \left (d+c x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(1/(a*x^3-b*x)^(1/3)/(c*x^6+d),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 \(1021\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (1-2 x^3+x^6\right )}{x^6 \left (1-x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-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 \(1034\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (1-2 x^3+x^6\right )}{x^6 \left (1-x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-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 \(1035\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (2+x^3\right )}{x^6 \left (2+x^3+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(2*x^6+x^3+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 \(1052\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (2+x^3\right )}{x^6 \left (2+x^3+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(2*x^6+x^3+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 \(1053\)
Exception generated. \[ \int \frac {\left (1-x^2\right )^2}{\left (1+x^2\right ) \left (1+6 x^2+x^4\right )^{3/4}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-x^2+1)^2/(x^2+1)/(x^4+6*x^2+1)^(3/4),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/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(1079\)
Exception generated. \[ \int \frac {\left (-1+x^2\right ) \sqrt [4]{-1+2 x^2+2 x^4}}{x^2 \left (-1+2 x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2-1)*(2*x^4+2*x^2-1)^(1/4)/x^2/(2*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 \(1114\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (2+x^3\right )}{x^6 \left (-4-2 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6-2*x^3-4),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 \(1168\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (2+x^3\right )}{x^6 \left (-4-2 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6-2*x^3-4),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 \(1169\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (4-2 x^3+x^6\right )}{x^6 \left (-8+4 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6-2*x^3+4)/x^6/(x^6+4*x^3-8),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 \(1170\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (4-2 x^3+x^6\right )}{x^6 \left (-8+4 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6-2*x^3+4)/x^6/(x^6+4*x^3-8),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 \(1171\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (2-2 x^3+x^6\right )}{x^6 \left (-4+4 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6-2*x^3+2)/x^6/(x^6+4*x^3-4),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 \(1172\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (2-2 x^3+x^6\right )}{x^6 \left (-4+4 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6-2*x^3+2)/x^6/(x^6+4*x^3-4),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 \(1173\)
Exception generated. \[ \int \frac {x (-1+k x) (-1+(-1+2 k) x)}{\sqrt [3]{(1-x) x (1-k x)} \left (-1+(4-c) x+(-6+b+2 c+c k) x^2+(4-c-2 b k-2 c k) x^3+\left (-1+c k+b k^2\right ) x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate(x*(k*x-1)*(-1+(-1+2*k)*x)/((1-x)*x*(-k*x+1))^(1/3)/(-1+(4-c)*x+( c*k+b+2*c-6)*x^2+(-2*b*k-2*c*k-c+4)*x^3+(b*k^2+c*k-1)*x^4),x, algorithm="f ricas")
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 \(1188\)
Exception generated. \[ \int \frac {3-x^2}{\left (1-x^2\right ) \sqrt [4]{1-6 x^2+x^4}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-x^2+3)/(-x^2+1)/(x^4-6*x^2+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/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(1253\)
Exception generated. \[ \int \frac {-1+x}{(1+x) \sqrt [3]{2+x^3}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((-1+x)/(1+x)/(x^3+2)^(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 \(1264\)
Exception generated. \[ \int \frac {(3+2 x) \sqrt [3]{1+x+x^3}}{x^2 (1+x)} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((3+2*x)*(x^3+x+1)^(1/3)/x^2/(1+x),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 \(1315\)
Exception generated. \[ \int \frac {\left (1+x^2\right )^2}{\left (1-x^2\right ) \left (1-6 x^2+x^4\right )^{3/4}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2+1)^2/(-x^2+1)/(x^4-6*x^2+1)^(3/4),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/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(1317\)
Exception generated. \[ \int \frac {\sqrt {1+x^2}}{x^2+\sqrt {x+\sqrt {1+x^2}}} \, dx=\text {Exception raised: AttributeError} \] Input:
integrate((x^2+1)^(1/2)/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm="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 \(1385\)
Exception generated. \[ \int \frac {\sqrt {1+x^2}}{x^2+\sqrt {x+\sqrt {1+x^2}}} \, dx=\text {Exception raised: AttributeError} \] Input:
integrate((x^2+1)^(1/2)/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm="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 \(1386\)
Exception generated. \[ \int \frac {\left (-1+x^3\right ) \left (1+x^3\right )^{2/3}}{x^3 \left (-1-x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)*(x^3+1)^(2/3)/x^3/(x^6-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 \(1397\)
Exception generated. \[ \int \frac {\left (-1+x^3\right ) \left (1+x^3\right )^{2/3}}{x^3 \left (-1-x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)*(x^3+1)^(2/3)/x^3/(x^6-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 \(1398\)
Exception generated. \[ \int \frac {\left (-2+x^3\right ) \left (1+x^3\right )^{2/3}}{x^3 \left (-2+x^3+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(2*x^6+x^3-2),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 \(1464\)
Exception generated. \[ \int \frac {\left (-2+x^3\right ) \left (1+x^3\right )^{2/3}}{x^3 \left (-2+x^3+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-2)*(x^3+1)^(2/3)/x^3/(2*x^6+x^3-2),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 \(1465\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (2+x^3\right )}{x^3 \left (-4+x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^3+2)/x^3/(x^6+x^3-4),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 \(1493\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (2+x^3\right )}{x^3 \left (-4+x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^3+2)/x^3/(x^6+x^3-4),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 \(1494\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (1+x^3+2 x^6\right )}{x^6 \left (-1+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(2*x^6+x^3+1)/x^6/(2*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 \(1539\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (1+x^3+2 x^6\right )}{x^6 \left (-1+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(2*x^6+x^3+1)/x^6/(2*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 \(1540\)
Exception generated. \[ \int \frac {\left (-2+x^2\right ) \sqrt [3]{x+x^3}}{x^2 \left (4-2 x^2+x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2-2)*(x^3+x)^(1/3)/x^2/(x^4-2*x^2+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 \(1553\)
Exception generated. \[ \int \frac {\left (-2+x^2\right ) \sqrt [3]{x+x^3}}{x^2 \left (4-2 x^2+x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2-2)*(x^3+x)^(1/3)/x^2/(x^4-2*x^2+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 \(1554\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (1-2 x^3+x^6\right )}{x^6 \left (-2+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-2),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 \(1595\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (1-2 x^3+x^6\right )}{x^6 \left (-2+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(x^6-2*x^3+1)/x^6/(x^6-2),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 \(1596\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (-1+x^6\right )}{x^6 \left (-2+x^3+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6-1)/x^6/(2*x^6+x^3-2),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 \(1598\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (-1+x^6\right )}{x^6 \left (-2+x^3+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6-1)/x^6/(2*x^6+x^3-2),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 \(1599\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (2+x^3\right )}{x^6 \left (4+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6+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 \(1613\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (2+x^3\right )}{x^6 \left (4+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6+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 \(1614\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (4+x^3\right )}{x^6 \left (8-4 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(x^3+4)/x^6/(x^6-4*x^3+8),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 \(1666\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (4+x^3\right )}{x^6 \left (8-4 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(x^3+4)/x^6/(x^6-4*x^3+8),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 \(1667\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (2+x^3\right ) \left (4+3 x^3\right )}{x^6 \left (4+2 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(x^3+2)*(3*x^3+4)/x^6/(x^6+2*x^3+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 \(1668\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (2+x^3\right ) \left (4+3 x^3\right )}{x^6 \left (4+2 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(x^3+2)*(3*x^3+4)/x^6/(x^6+2*x^3+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 \(1669\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (4+x^6\right )}{x^6 \left (4+2 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6+2*x^3+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 \(1670\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (4+x^6\right )}{x^6 \left (4+2 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6+2*x^3+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 \(1671\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (1-x^3+x^6\right )}{x^6 \left (-2-x^3+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6-x^3+1)/x^6/(2*x^6-x^3-2),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 \(1672\)
Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (1-x^3+x^6\right )}{x^6 \left (-2-x^3+2 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-1)^(2/3)*(x^6-x^3+1)/x^6/(2*x^6-x^3-2),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 \(1673\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (4+6 x^3+3 x^6\right )}{x^6 \left (8+6 x^3+3 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(3*x^6+6*x^3+4)/x^6/(3*x^6+6*x^3+8),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 \(1674\)
Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (4+6 x^3+3 x^6\right )}{x^6 \left (8+6 x^3+3 x^6\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3+1)^(2/3)*(3*x^6+6*x^3+4)/x^6/(3*x^6+6*x^3+8),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 \(1675\)
Exception generated. \[ \int \frac {\left (1+x^2\right ) \sqrt [3]{-x+2 x^3}}{x^2 \left (1+x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2+1)*(2*x^3-x)^(1/3)/x^2/(x^4+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 \(1699\)
Exception generated. \[ \int \frac {\left (1+2 x^2\right ) \sqrt [3]{x+2 x^3}}{x^4 \left (1+2 x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((2*x^2+1)*(2*x^3+x)^(1/3)/x^4/(2*x^4+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 \(1711\)
Exception generated. \[ \int \frac {1}{x-\sqrt {b+a x} \sqrt {c+\sqrt {b+a x}}} \, dx=\text {Exception raised: AttributeError} \] Input:
integrate(1/(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 \(1712\)
Exception generated. \[ \int \frac {1}{x-\sqrt {b+a x} \sqrt {c+\sqrt {b+a x}}} \, dx=\text {Exception raised: AttributeError} \] Input:
integrate(1/(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 \(1713\)
Exception generated. \[ \int \frac {\left (4+x^2\right ) \sqrt [3]{-2 x+x^3}}{x^4 \left (-4-4 x^2+x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2+4)*(x^3-2*x)^(1/3)/x^4/(x^4-4*x^2-4),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 \(1717\)
Exception generated. \[ \int \frac {\left (4+x^2\right ) \sqrt [3]{-2 x+x^3}}{x^4 \left (-4-4 x^2+x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2+4)*(x^3-2*x)^(1/3)/x^4/(x^4-4*x^2-4),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 \(1718\)
Exception generated. \[ \int \frac {\left (1+x^5\right ) \sqrt [3]{1+x^3+x^5} \left (-3+2 x^5\right )}{x^2 \left (2-2 x^3+4 x^5-x^6-2 x^8+2 x^{10}\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^5+1)*(x^5+x^3+1)^(1/3)*(2*x^5-3)/x^2/(2*x^10-2*x^8-x^6+4*x^5- 2*x^3+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 \(1727\)
Exception generated. \[ \int \frac {\left (1+x^5\right ) \sqrt [3]{1+x^3+x^5} \left (-3+2 x^5\right )}{x^2 \left (2-2 x^3+4 x^5-x^6-2 x^8+2 x^{10}\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^5+1)*(x^5+x^3+1)^(1/3)*(2*x^5-3)/x^2/(2*x^10-2*x^8-x^6+4*x^5- 2*x^3+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 \(1728\)
Exception generated. \[ \int \frac {\sqrt [3]{x+2 x^3} \left (-1+x^4\right )}{x^4 \left (2-x^2+x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((2*x^3+x)^(1/3)*(x^4-1)/x^4/(x^4-x^2+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 \(1764\)
Exception generated. \[ \int \frac {\sqrt [3]{-x+x^3} \left (8-10 x^2+x^4\right )}{x^4 \left (4-2 x^2+x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-x)^(1/3)*(x^4-10*x^2+8)/x^4/(x^4-2*x^2+4),x, algorithm="fri cas")
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 \(1778\)
Exception generated. \[ \int \frac {\sqrt [3]{-x+x^3} \left (8-10 x^2+x^4\right )}{x^4 \left (4-2 x^2+x^4\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^3-x)^(1/3)*(x^4-10*x^2+8)/x^4/(x^4-2*x^2+4),x, algorithm="fri cas")
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 \(1779\)
Exception generated. \[ \int \frac {1+x}{(-1+x) (1+2 x) \sqrt [3]{-1+3 x^2}} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((1+x)/(-1+x)/(1+2*x)/(3*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 \(1889\)
Exception generated. \[ \int \frac {b-a x^5}{\sqrt {a+b x} \left (a b+x^5\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:
integrate((-a*x^5+b)/(b*x+a)^(1/2)/(x^5+a*b),x, algorithm="fricas")
Output:
Exception raised: RuntimeError >> no explicit roots found
input file name test_cases/extra_tests/366_Blake_1
Test file number \(366\)
Integral number in file \(1959\)
Exception generated. \[ \int \frac {\left (-4+x^2\right ) \sqrt [4]{2-x^2-2 x^4}}{x^2 \left (-2+x^2\right )} \, dx=\text {Exception raised: TypeError} \] Input:
integrate((x^2-4)*(-2*x^4-x^2+2)^(1/4)/x^2/(x^2-2),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 \(2014\)
Exception generated. \[ \int \frac {x^2-\sqrt {1+x^2}}{x^2+\sqrt {x+\sqrt {1+x^2}}} \, dx=\text {Exception raised: AttributeError} \] Input:
integrate((x^2-(x^2+1)^(1/2))/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=" 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 \(2169\)
Exception generated. \[ \int \frac {x^2-\sqrt {1+x^2}}{x^2+\sqrt {x+\sqrt {1+x^2}}} \, dx=\text {Exception raised: AttributeError} \] Input:
integrate((x^2-(x^2+1)^(1/2))/(x^2+(x+(x^2+1)^(1/2))^(1/2)),x, algorithm=" 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 \(2170\)
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 \(2201\)