Integrals 1901 to 2000

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1053\)

Fricas [F(-2)]

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

[In]

integrate((-x^2+1)^2/(x^2+1)/(x^4+6*x^2+1)^(3/4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1079\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1114\)

Fricas [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6-2*x^3-4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1168\)

Fricas [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6-2*x^3-4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1169\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (4-2 x^3+x^6\right )}{x^6 \left (-8+4 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^3-1)^(2/3)*(x^6-2*x^3+4)/x^6/(x^6+4*x^3-8),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1170\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^3\right )^{2/3} \left (4-2 x^3+x^6\right )}{x^6 \left (-8+4 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^3-1)^(2/3)*(x^6-2*x^3+4)/x^6/(x^6+4*x^3-8),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1171\)

Fricas [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^6-2*x^3+2)/x^6/(x^6+4*x^3-4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1172\)

Fricas [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^6-2*x^3+2)/x^6/(x^6+4*x^3-4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1173\)

Fricas [F(-2)]

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

[In]

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="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1188\)

Fricas [F(-2)]

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

[In]

integrate((-x^2+3)/(-x^2+1)/(x^4-6*x^2+1)^(1/4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1253\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1264\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1315\)

Fricas [F(-2)]

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

[In]

integrate((x^2+1)^2/(-x^2+1)/(x^4-6*x^2+1)^(3/4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1317\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1397\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1398\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1464\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1465\)

Fricas [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^3+2)/x^3/(x^6+x^3-4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1493\)

Fricas [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^3+2)/x^3/(x^6+x^3-4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1494\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1539\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1540\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).30638080 byte
s available, 45588576 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1542\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).30638080 byte
s available, 45588576 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1543\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1553\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1554\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).44695552 byte
s available, 46036080 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1562\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).44695552 byte
s available, 46036080 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1563\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).5668864 bytes
available, 46119648 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1564\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).5668864 bytes
available, 46119648 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1565\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).3014656 bytes
available, 45670544 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1566\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).3014656 bytes
available, 45670544 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1567\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1595\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1596\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1598\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1599\)

Fricas [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6+4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1613\)

Fricas [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^3+2)/x^6/(x^6+4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1614\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).2850816 bytes
available, 48177616 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1619\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).2850816 bytes
available, 48177616 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1620\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).2162688 bytes
available, 49247840 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1646\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >>  System error:   Heap exhausted (no more space for allocation).2162688 bytes
available, 49247840 requested.PROCEED WITH CAUTION.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1647\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (4+x^3\right )}{x^6 \left (8-4 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^3+1)^(2/3)*(x^3+4)/x^6/(x^6-4*x^3+8),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1666\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (4+x^3\right )}{x^6 \left (8-4 x^3+x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^3+1)^(2/3)*(x^3+4)/x^6/(x^6-4*x^3+8),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1667\)

Fricas [F(-2)]

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

[In]

integrate((x^3+1)^(2/3)*(x^3+2)*(3*x^3+4)/x^6/(x^6+2*x^3+4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1668\)

Fricas [F(-2)]

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

[In]

integrate((x^3+1)^(2/3)*(x^3+2)*(3*x^3+4)/x^6/(x^6+2*x^3+4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1669\)

Fricas [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6+2*x^3+4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1670\)

Fricas [F(-2)]

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

[In]

integrate((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6+2*x^3+4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1671\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1672\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1673\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (4+6 x^3+3 x^6\right )}{x^6 \left (8+6 x^3+3 x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

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")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1674\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^3\right )^{2/3} \left (4+6 x^3+3 x^6\right )}{x^6 \left (8+6 x^3+3 x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

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")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1675\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1699\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1711\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1712\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1713\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1717\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1718\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^5\right ) \sqrt [3]{1+x^3+x^5} \left (-3+2 x^5\right )}{x^2 \left (2-2 x^3+4 x^5-x^6-2 x^8+2 x^{10}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

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")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1727\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^5\right ) \sqrt [3]{1+x^3+x^5} \left (-3+2 x^5\right )}{x^2 \left (2-2 x^3+4 x^5-x^6-2 x^8+2 x^{10}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

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")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1728\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1764\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt [3]{-x+x^3} \left (8-10 x^2+x^4\right )}{x^4 \left (4-2 x^2+x^4\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^3-x)^(1/3)*(x^4-10*x^2+8)/x^4/(x^4-2*x^2+4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1778\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {\sqrt [3]{-x+x^3} \left (8-10 x^2+x^4\right )}{x^4 \left (4-2 x^2+x^4\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^3-x)^(1/3)*(x^4-10*x^2+8)/x^4/(x^4-2*x^2+4),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1779\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1889\)

Fricas [F(-2)]

Exception generated. \[ \int \frac {b-a x^5}{\sqrt {a+b x} \left (a b+x^5\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((-a*x^5+b)/(b*x+a)^(1/2)/(x^5+a*b),x, algorithm="fricas")

[Out]

Exception raised: RuntimeError >> no explicit roots found

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1959\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2014\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2201\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2202\)

Fricas [F(-2)]

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

[In]

integrate((a*x^6+b)/(x^3+x)^(1/3)/(c*x^6+d),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2213\)

Fricas [F(-2)]

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

[In]

integrate((a*x^6+b)/(x^3+x)^(1/3)/(c*x^6+d),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2214\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2222\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2223\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2276\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2277\)

Fricas [F(-2)]

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

[In]

integrate((a*x^6-b)/(x^3-x)^(1/3)/(c*x^6-d),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2288\)

Fricas [F(-2)]

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

[In]

integrate((a*x^6-b)/(x^3-x)^(1/3)/(c*x^6-d),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2289\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2303\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2304\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2337\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2353\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2354\)

Fricas [F(-2)]

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

[In]

integrate((x^3+x)^(1/3)*(a*x^6+b)/(c*x^6+d),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2386\)

Fricas [F(-2)]

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

[In]

integrate((x^3+x)^(1/3)*(a*x^6+b)/(c*x^6+d),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2387\)

Fricas [F(-2)]

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

[In]

integrate((2*x^6-1)*(x^7+x)^(1/3)/(x^6-2*x^2+1)/(x^6-x^2+1),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2388\)

Fricas [F(-2)]

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

[In]

integrate((2+3*x)/(3*x^2+4)^(1/3)/(9*x^2+52*x-12),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2432\)

Fricas [F(-2)]

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

[In]

integrate((x^3-x)^(1/3)*(a*x^6-b)/(c*x^6-d),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2474\)

Fricas [F(-2)]

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

[In]

integrate((x^3-x)^(1/3)*(a*x^6-b)/(c*x^6-d),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2475\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2506\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2593\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2596\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2658\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2659\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2697\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (ir
rational residues)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2715\)

Fricas [F(-2)]

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

[In]

integrate((1+x)/(1+2*x)/(x^5+9*x^4+28*x^3+36*x^2+27*x+27)^(1/3),x, algorithm="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (re
sidue poly has multiple non-linear factors)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2875\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2908\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2976\)

Fricas [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2977\)

Fricas [F(-2)]

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

[In]

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="fricas")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2978\)

Fricas [F(-2)]

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

[In]

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")

[Out]

Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (tr
ace 0)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2979\)