Integrals 8101 to 8134

Maxima [F(-2)]

Exception generated. $$\int \frac{e^{\frac{16x-81x^2-24e^{\frac{1}{5}(5x+\log (5))}{x}^2+9e^{\frac{2}{5}(5x+\log (5))}{x}^3}{16-24e^{\frac{1}{5}(5x+\log (5))}x+9e^{\frac{2}{5}(5x+\log (5))}{x}^2}}(-64+648x-108e^{\frac{2}{5}(5x+\log (5))}{x}^2+27e^{\frac{3}{5}(5x+\log (5))}{x}^3+e^{\frac{1}{5}(5x+\log (5))}(144x+486x^3))}{-64+144e^{\frac{1}{5}(5x+\log (5))}x-108e^{\frac{2}{5}(5x+\log (5))}{x}^2+27e^{\frac{3}{5}(5x+\log (5))}{x}^3}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int -\frac{e^{5-\frac{e^5(3x-\frac{(-15+3x)\log (3+\log (x))}{e^5})}{\log (3+\log (x))}}(-3+(9+3\log (x))\log (3+\log (x))-\frac{(9+3\log (x)){\log }^2(3+\log (x))}{e^5})}{(3+\log (x)){\log }^2(3+\log (x))}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{-50x-20e^{4}x-2e^{8}x+(-20x-4e^{4}x)\log (x)-2x{\log }^2(x)+e^{\frac{x^3+x^2\log (4)}{5+e^4+\log (x)}}(25+e^8+14x^3+e^4(10+3x^3)+(9x^2+2e^4{x}^2)\log (4)+(10+2e^4+3x^3+2x^2\log (4))\log (x)+{\log }^2(x))}{25+10e^4+e^8+(10+2e^4)\log (x)+{\log }^2(x)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{(e^{10}-e^{5}x){\log }^2(e^{10}-2e^{5}x+x^2)+e^{\frac{4x^3}{e^5\log (e^{10}-2e^{5}x+x^2)}}(8x^3+(12e^5{x}^2-12x^3)\log (e^{10}-2e^{5}x+x^2))}{(e^{10}-e^{5}x){\log }^2(e^{10}-2e^{5}x+x^2)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{-e^{2-2x}{x}^2+e^{1-x+\frac{1}{4}(4+\log (4))}(-5+5x-2x^2)+e^{\frac{1}{2}(4+\log (4))}(-5-x^2)}{e^{2-2x}{x}^2+e^{\frac{1}{2}(4+\log (4))}{x}^2+2e^{1-x+\frac{1}{4}(4+\log (4))}{x}^2}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{e^{\frac{3x^2+5x^3+2x^4}{(4+8x)\log \left(x^2\right)}}(-6x^2-22x^3-24x^4-8x^5+(6x^2+21x^3+28x^4+12x^5)\log \left(x^2\right)+(-8-32x-32x^2){\log }^2\left(x^2\right))}{(4x^3+16x^4+16x^5){\log }^2\left(x^2\right)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{10x+2x^2+2\sqrt[3]{e}{x}^2+4e^{2/3}{x}^2+(-10x-x^2+\sqrt[3]{e}(-20x-4x^2))\log \left(x^2\right)+(25+10x+x^2){\log }^2\left(x^2\right)}{4e^{2/3}{x}^2+\sqrt[3]{e}(-20x-4x^2)\log \left(x^2\right)+(25+10x+x^2){\log }^2\left(x^2\right)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{1}{\sqrt{c+bx+a{x}^2}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{-b+a{x}^2}{(b+cx+a{x}^2)\sqrt{bx+a{x}^3}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{ab-x^2}{\sqrt{x(-a+x)(-b+x)}(ab-(a+b+d)x+x^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{ab-x^2}{\sqrt{x(-a+x)(-b+x)}(abd-(1+ad+bd)x+d{x}^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{ab-2ax+x^2}{\sqrt{x(-a+x)(-b+x)}(ad-(b+d)x+x^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{ab-2ax+x^2}{\sqrt{x(-a+x)(-b+x)}(a-(1+bd)x+d{x}^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1-2x+k^2{x}^2}{\sqrt{(1-x)x(1-k^{2}x)}(-1+2x+(-2+k^2)x^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1-2x+k^2{x}^2}{(-1+2x-2x^2+k^2{x}^2)\sqrt{x-x^2-k^2{x}^2+k^2{x}^3}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{ab+ac-bc-2ax+x^2}{\sqrt{(-a+x)(-b+x)(-c+x)}(bc+ad-(b+c+d)x+x^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{ab+ac-bc-2ax+x^2}{\sqrt{(-a+x)(-b+x)(-c+x)}(a+bcd-(1+bd+cd)x+d{x}^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{-b+a^2{x}^2}{(b+2abx+a^2{x}^2)\sqrt{bx+a^2{x}^3}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \sqrt{c+bx+a{x}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{-1+k^2{x}^2}{\sqrt{(1-x)x(1-k^{2}x)}(a+bx+a{k}^2{x}^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{-1+k{x}^2}{(1+ckx+k{x}^2)\sqrt{(1-x^2)(1-k^2{x}^2)}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1-x^5}{\sqrt{a+bx}(1+x^5)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{-x+x^2}{\sqrt{(1-x)x(1-k^{2}x)}(1-2x+k^2{x}^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int {(c+bx+a{x}^2)}^{5/2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{-a-bx+(b+a{k}^2)x^2}{\sqrt{(1-x)x(1-k^{2}x)}(1-2x+k^2{x}^2)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(c+bx+a{x}^2)}^{5/2}}{c+bx}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{{(c+bx+a{x}^2)}^{5/2}}{(c+bx{)}^2}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{1+x}{(1-ax)\sqrt[4]{\frac{1-bx}{c+x}}}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{\sqrt[6]{\frac{1-bx}{c+x}}(1+d{x}^2)}{(1+bx)(1+cx)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{2b+a{x}^3}{x^4(c-2b^2{x}^3+a{x}^6)}dx=\text{Exception raised: ValueError}$$ 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. $$\int \frac{2x-9x^9+2\sqrt{2}{x}^9-12x^{13}-3x^{17}}{{(\sqrt{2}-3x^4-x^8)}^2(-18+8\sqrt{2}-24x^4+27\sqrt{2}{x}^4-8x^8+9\sqrt{2}{x}^8)}dx=\text{Exception raised: RuntimeError}$$ 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. $$\int \frac{-500+192\sqrt{7}+952x+360\sqrt{7}x+672x^2+252\sqrt{7}{x}^2+196x^3+84\sqrt{7}{x}^3+49x^4}{{(16-6\sqrt{7}+14x+6\sqrt{7}x+7x^2)}^2(2\sqrt{7}+630x+238\sqrt{7}x+147x^2+56\sqrt{7}{x}^2)}dx=\text{Exception raised: RuntimeError}$$ 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 $44$