Integrals 8101 to 8134

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {16 x-81 x^2-24 e^{\frac {1}{5} (5 x+\log (5))} x^2+9 e^{\frac {2}{5} (5 x+\log (5))} x^3}{16-24 e^{\frac {1}{5} (5 x+\log (5))} x+9 e^{\frac {2}{5} (5 x+\log (5))} x^2}} \left (-64+648 x-108 e^{\frac {2}{5} (5 x+\log (5))} x^2+27 e^{\frac {3}{5} (5 x+\log (5))} x^3+e^{\frac {1}{5} (5 x+\log (5))} \left (144 x+486 x^3\right )\right )}{-64+144 e^{\frac {1}{5} (5 x+\log (5))} x-108 e^{\frac {2}{5} (5 x+\log (5))} x^2+27 e^{\frac {3}{5} (5 x+\log (5))} x^3} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((27*x^3*exp(1/5*log(5)+x)^3-108*x^2*exp(1/5*log(5)+x)^2+(486*x^3 
+144*x)*exp(1/5*log(5)+x)+648*x-64)*exp((9*x^3*exp(1/5*log(5)+x)^2-24*x^2* 
exp(1/5*log(5)+x)-81*x^2+16*x)/(9*x^2*exp(1/5*log(5)+x)^2-24*x*exp(1/5*log 
(5)+x)+16))/(27*x^3*exp(1/5*log(5)+x)^3-108*x^2*exp(1/5*log(5)+x)^2+144*x* 
exp(1/5*log(5)+x)-64),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

input file name test_cases/extra_tests/364_Hebisch_4

Test file number \(364\)

Integral number in file \(667\)

Maxima [F(-2)]

Exception generated. \[ \int -\frac {e^{5-\frac {e^5 \left (3 x-\frac {(-15+3 x) \log (3+\log (x))}{e^5}\right )}{\log (3+\log (x))}} \left (-3+(9+3 \log (x)) \log (3+\log (x))-\frac {(9+3 \log (x)) \log ^2(3+\log (x))}{e^5}\right )}{(3+\log (x)) \log ^2(3+\log (x))} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(((3*log(x)+9)*log(3+log(x))*exp(log(-log(3+log(x)))-5)+(3*log(x) 
+9)*log(3+log(x))-3)*exp(((3*x-15)*exp(log(-log(3+log(x)))-5)+3*x)/exp(log 
(-log(3+log(x)))-5))/(3+log(x))/log(3+log(x))/exp(log(-log(3+log(x)))-5),x 
, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: In function CAR, the value of 
the first argument is  0which is not of the expected type LIST
 

input file name test_cases/extra_tests/364_Hebisch_4

Test file number \(364\)

Integral number in file \(697\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-50 x-20 e^4 x-2 e^8 x+\left (-20 x-4 e^4 x\right ) \log (x)-2 x \log ^2(x)+e^{\frac {x^3+x^2 \log (4)}{5+e^4+\log (x)}} \left (25+e^8+14 x^3+e^4 \left (10+3 x^3\right )+\left (9 x^2+2 e^4 x^2\right ) \log (4)+\left (10+2 e^4+3 x^3+2 x^2 \log (4)\right ) \log (x)+\log ^2(x)\right )}{25+10 e^4+e^8+\left (10+2 e^4\right ) \log (x)+\log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(((log(x)^2+(4*x^2*log(2)+2*exp(4)+3*x^3+10)*log(x)+2*(2*x^2*exp( 
4)+9*x^2)*log(2)+exp(4)^2+(3*x^3+10)*exp(4)+14*x^3+25)*exp((2*x^2*log(2)+x 
^3)/(log(x)+5+exp(4)))-2*x*log(x)^2+(-4*x*exp(4)-20*x)*log(x)-2*x*exp(4)^2 
-20*x*exp(4)-50*x)/(log(x)^2+(2*exp(4)+10)*log(x)+exp(4)^2+10*exp(4)+25),x 
, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: In function CAR, the value of 
the first argument is  0which is not of the expected type LIST
 

input file name test_cases/extra_tests/364_Hebisch_4

Test file number \(364\)

Integral number in file \(749\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (e^{10}-e^5 x\right ) \log ^2\left (e^{10}-2 e^5 x+x^2\right )+e^{\frac {4 x^3}{e^5 \log \left (e^{10}-2 e^5 x+x^2\right )}} \left (8 x^3+\left (12 e^5 x^2-12 x^3\right ) \log \left (e^{10}-2 e^5 x+x^2\right )\right )}{\left (e^{10}-e^5 x\right ) \log ^2\left (e^{10}-2 e^5 x+x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((((12*x^2*exp(5)-12*x^3)*log(exp(5)^2-2*x*exp(5)+x^2)+8*x^3)*exp 
(4*x^3/exp(5)/log(exp(5)^2-2*x*exp(5)+x^2))+(exp(5)^2-x*exp(5))*log(exp(5) 
^2-2*x*exp(5)+x^2)^2)/(exp(5)^2-x*exp(5))/log(exp(5)^2-2*x*exp(5)+x^2)^2,x 
, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: In function CAR, the value of 
the first argument is  0which is not of the expected type LIST
 

input file name test_cases/extra_tests/364_Hebisch_4

Test file number \(364\)

Integral number in file \(775\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-e^{2-2 x} x^2+e^{1-x+\frac {1}{4} (4+\log (4))} \left (-5+5 x-2 x^2\right )+e^{\frac {1}{2} (4+\log (4))} \left (-5-x^2\right )}{e^{2-2 x} x^2+e^{\frac {1}{2} (4+\log (4))} x^2+2 e^{1-x+\frac {1}{4} (4+\log (4))} x^2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(((-x^2-5)*exp(1+1/2*log(2))^2+(-2*x^2+5*x-5)*exp(1-x)*exp(1+1/2* 
log(2))-x^2*exp(1-x)^2)/(x^2*exp(1+1/2*log(2))^2+2*x^2*exp(1-x)*exp(1+1/2* 
log(2))+x^2*exp(1-x)^2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

input file name test_cases/extra_tests/364_Hebisch_4

Test file number \(364\)

Integral number in file \(911\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3 x^2+5 x^3+2 x^4}{(4+8 x) \log \left (x^2\right )}} \left (-6 x^2-22 x^3-24 x^4-8 x^5+\left (6 x^2+21 x^3+28 x^4+12 x^5\right ) \log \left (x^2\right )+\left (-8-32 x-32 x^2\right ) \log ^2\left (x^2\right )\right )}{\left (4 x^3+16 x^4+16 x^5\right ) \log ^2\left (x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(((-32*x^2-32*x-8)*log(x^2)^2+(12*x^5+28*x^4+21*x^3+6*x^2)*log(x^ 
2)-8*x^5-24*x^4-22*x^3-6*x^2)*exp((2*x^4+5*x^3+3*x^2)/(8*x+4)/log(x^2))/(1 
6*x^5+16*x^4+4*x^3)/log(x^2)^2,x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: In function CAR, the value of 
the first argument is  0which is not of the expected type LIST
 

input file name test_cases/extra_tests/364_Hebisch_4

Test file number \(364\)

Integral number in file \(947\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {10 x+2 x^2+2 \sqrt [3]{e} x^2+4 e^{2/3} x^2+\left (-10 x-x^2+\sqrt [3]{e} \left (-20 x-4 x^2\right )\right ) \log \left (x^2\right )+\left (25+10 x+x^2\right ) \log ^2\left (x^2\right )}{4 e^{2/3} x^2+\sqrt [3]{e} \left (-20 x-4 x^2\right ) \log \left (x^2\right )+\left (25+10 x+x^2\right ) \log ^2\left (x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(((x^2+10*x+25)*log(x^2)^2+((-4*x^2-20*x)*exp(1/3)-x^2-10*x)*log( 
x^2)+4*x^2*exp(1/3)^2+2*x^2*exp(1/3)+2*x^2+10*x)/((x^2+10*x+25)*log(x^2)^2 
+(-4*x^2-20*x)*exp(1/3)*log(x^2)+4*x^2*exp(1/3)^2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

input file name test_cases/extra_tests/364_Hebisch_4

Test file number \(364\)

Integral number in file \(962\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(428\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c^2-4*a*b>0)', see `assume?` for 
 more deta
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(451\)

Maxima [F(-2)]

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

integrate((a*b-x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a*b-(a+b+d)*x+x^2),x, algorit 
hm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((d+b+a)^2-4*a*b>0)', see `assume 
?` for mor
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(471\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((b*d+a*d+1)^2>0)', see `assume?` 
 for more
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(472\)

Maxima [F(-2)]

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

integrate((a*b-2*a*x+x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a*d-(b+d)*x+x^2),x, alg 
orithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((d+b)^2-4*a*d>0)', see `assume?` 
 for more
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(566\)

Maxima [F(-2)]

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

integrate((a*b-2*a*x+x^2)/(x*(-a+x)*(-b+x))^(1/2)/(a-(b*d+1)*x+d*x^2),x, a 
lgorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((b*d+1)^2-4*a*d>0)', see `assume 
?` for mor
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(567\)

Maxima [F(-2)]

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

integrate((k^2*x^2-2*x+1)/((1-x)*x*(-k^2*x+1))^(1/2)/(-1+2*x+(k^2-2)*x^2), 
x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(k-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(699\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(k-1>0)', see `assume?` for more 
details)Is
                                                                                    
                                                                                    
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(702\)

Maxima [F(-2)]

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

integrate((-y^4-x^2+1)^(1/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(y-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(734\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((d+c+b)^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(775\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume((c*d+b*d+1)^2>0)', see `assume?` 
 for more
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(776\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(b-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(780\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(955\)

Maxima [F(-2)]

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

integrate((k^2*x^2-1)/((1-x)*x*(-k^2*x+1))^(1/2)/(a*k^2*x^2+b*x+a),x, algo 
rithm="maxima")
                                                                                    
                                                                                    
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(2*a*k-b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(997\)

Maxima [F(-2)]

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

integrate((k*x^2-1)/(c*k*x+k*x^2+1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algor 
ithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(c^2*k-4>0)', see `assume?` for m 
ore detail
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(1388\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1-x^5}{\sqrt {a+b x} \left (1+x^5\right )} \, dx=\text {Exception raised: ValueError} \] Input:

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(4*a-4*b>0)', see `assume?` for m 
ore detail
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(1862\)

Maxima [F(-2)]

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

integrate((x^2-x)/((1-x)*x*(-k^2*x+1))^(1/2)/(k^2*x^2-2*x+1),x, algorithm= 
"maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(k-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2367\)

Maxima [F(-2)]

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

integrate((a*x^2+b*x+c)^(5/2),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2433\)

Maxima [F(-2)]

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

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

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(k-1>0)', see `assume?` for more 
details)Is
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2848\)

Maxima [F(-2)]

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

integrate((a*x^2+b*x+c)^(5/2)/(b*x+c),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2921\)

Maxima [F(-2)]

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

integrate((a*x^2+b*x+c)^(5/2)/(b*x+c)^2,x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for 
 more deta
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(2959\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1+x}{(1-a x) \sqrt [4]{\frac {1-b x}{c+x}}} \, dx=\text {Exception raised: ValueError} \] Input:

integrate((1+x)/(-a*x+1)/((-b*x+1)/(c+x))^(1/4),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more 
details)Is
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(3012\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c_4+\sqrt {\frac {c_0+x c_1}{c_2+x c_3}} c_5} (c_6+x c_7){}^2} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate(1/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(_C7*x+_C6)^2, 
x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is un 
defined.
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(3137\)

Maxima [F(-2)]

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

integrate(((-b*x+1)/(c+x))^(1/6)*(d*x^2+1)/(b*x+1)/(c*x+1),x, algorithm="m 
axima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(b*c-1>0)', see `assume?` for mor 
e details)
 

input file name test_cases/extra_tests/366_Blake_1

Test file number \(366\)

Integral number in file \(3138\)

Maxima [F(-2)]

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

integrate((a*x^3+2*b)/x^4/(a*x^6-2*b^2*x^3+c),x, algorithm="maxima")
 

Output:

Exception raised: ValueError >> Computation failed since Maxima requested 
additional constraints; using the 'assume' command before evaluation *may* 
 help (example of legal syntax is 'assume(4*b^4-4*a*c>0)', see `assume?` f 
or more de
 

input file name test_cases/extra_tests/367_Blake_2

Test file number \(367\)

Integral number in file \(24\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {2 x-9 x^9+2 \sqrt {2} x^9-12 x^{13}-3 x^{17}}{\left (\sqrt {2}-3 x^4-x^8\right )^2 \left (-18+8 \sqrt {2}-24 x^4+27 \sqrt {2} x^4-8 x^8+9 \sqrt {2} x^8\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((2*x-9*x^9+2*2^(1/2)*x^9-12*x^13-3*x^17)/(2^(1/2)-3*x^4-x^8)^2/( 
-18+8*2^(1/2)-24*x^4+27*2^(1/2)*x^4-8*x^8+9*2^(1/2)*x^8),x, algorithm="max 
ima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/extra_tests/367_Blake_2

Test file number \(367\)

Integral number in file \(43\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-500+192 \sqrt {7}+952 x+360 \sqrt {7} x+672 x^2+252 \sqrt {7} x^2+196 x^3+84 \sqrt {7} x^3+49 x^4}{\left (16-6 \sqrt {7}+14 x+6 \sqrt {7} x+7 x^2\right )^2 \left (2 \sqrt {7}+630 x+238 \sqrt {7} x+147 x^2+56 \sqrt {7} x^2\right )} \, dx=\text {Exception raised: RuntimeError} \] Input:

integrate((-500+192*7^(1/2)+952*x+360*7^(1/2)*x+672*x^2+252*7^(1/2)*x^2+19 
6*x^3+84*7^(1/2)*x^3+49*x^4)/(16-6*7^(1/2)+14*x+6*7^(1/2)*x+7*x^2)^2/(2*7^ 
(1/2)+630*x+238*7^(1/2)*x+147*x^2+56*7^(1/2)*x^2),x, algorithm="maxima")
 

Output:

Exception raised: RuntimeError >> ECL says: expt: undefined: 0 to a negati 
ve exponent.
 

input file name test_cases/extra_tests/367_Blake_2

Test file number \(367\)

Integral number in file \(44\)