2.2.66 Integrals 6501 to 6538

2.2.66.1 Maxima [F(-2)]

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

[In]

integrate(((-x*log(6)+x^3)*log(3*log(6)^2-6*x^2*log(6)+3*x^4)^2+((-2+x)*log(6)-x^3+2*x^2)*exp(2/x)*log(3*log(6
)^2-6*x^2*log(6)+3*x^4)+4*x^3*exp(2/x))*exp((-x*log(3*log(6)^2-6*x^2*log(6)+3*x^4)+x*exp(2/x))/log(3*log(6)^2-
6*x^2*log(6)+3*x^4))/(x*log(6)-x^3)/log(3*log(6)^2-6*x^2*log(6)+3*x^4)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7116\)

2.2.66.2 Maxima [F(-2)]

Exception generated. \[ \int \frac {-6-2 \sqrt [5]{e}+\sqrt [5]{e} \log (-x)}{-864+432 \sqrt [5]{e} \log (-x)-72 e^{2/5} \log ^2(-x)+4 e^{3/5} \log ^3(-x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((exp(1/5)*log(-x)-2*exp(1/5)-6)/(4*exp(1/5)^3*log(-x)^3-72*exp(1/5)^2*log(-x)^2+432*exp(1/5)*log(-x)
-864),x, algorithm="maxima")

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7400\)

2.2.66.3 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {12}{(-15+20 x) \log \left (x \log ^2(2)\right )}} \left (72-96 x-96 x \log \left (x \log ^2(2)\right )\right )}{\left (45 x-120 x^2+80 x^3\right ) \log ^2\left (x \log ^2(2)\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((-96*x*log(x*log(2)^2)-96*x+72)*exp(12/(20*x-15)/log(x*log(2)^2))/(80*x^3-120*x^2+45*x)/log(x*log(2)
^2)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7422\)

2.2.66.4 Maxima [F(-2)]

Exception generated. \[ \int \frac {25+e^{\frac {1}{5} \left (-7+5 x-2 x^3\right )} \left (-25+25 x-30 x^3\right )}{6-12 e^{\frac {1}{5} \left (-7+5 x-2 x^3\right )}+6 e^{\frac {2}{5} \left (-7+5 x-2 x^3\right )}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-30*x^3+25*x-25)*exp(-2/5*x^3+x-7/5)+25)/(6*exp(-2/5*x^3+x-7/5)^2-12*exp(-2/5*x^3+x-7/5)+6),x, alg
orithm="maxima")

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7424\)

2.2.66.5 Maxima [F(-2)]

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

[In]

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

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7553\)

2.2.66.6 Maxima [F(-2)]

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

[In]

integrate((((-1-2*x)*exp(2*x)^2+(-4*x-2)*exp(x)*exp(2*x)+(-1-2*x)*exp(x)^2-2*x^2-x)*log(exp(2*x)^2+2*exp(x)*ex
p(2*x)+exp(x)^2+x)^2+(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x)*log(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x)-4*
x*exp(2*x)^2-6*x*exp(x)*exp(2*x)-2*x*exp(x)^2-x)*exp(((-x^2-x+1)*log(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x)+
x)/log(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x))/(exp(2*x)^2+2*exp(x)*exp(2*x)+exp(x)^2+x)/log(exp(2*x)^2+2*ex
p(x)*exp(2*x)+exp(x)^2+x)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7557\)

2.2.66.7 Maxima [F(-2)]

Exception generated. \[ \int \frac {80+200 x+125 x^2-48 x^3-240 x^4-225 x^5+72 x^7+135 x^8-27 x^{11}+e^3 \left (125-225 x^3+135 x^6-27 x^9\right )+\left (200 x+250 x^2+288 x^3+120 x^4-450 x^5-144 x^7+270 x^8-54 x^{11}\right ) \log (3 x)}{-125 x+225 x^4-135 x^7+27 x^{10}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-54*x^11+270*x^8-144*x^7-450*x^5+120*x^4+288*x^3+250*x^2+200*x)*log(3*x)+(-27*x^9+135*x^6-225*x^3+
125)*exp(3)-27*x^11+135*x^8+72*x^7-225*x^5-240*x^4-48*x^3+125*x^2+200*x+80)/(27*x^10-135*x^7+225*x^4-125*x),x,
algorithm="maxima")

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7704\)

2.2.66.8 Maxima [F(-2)]

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

[In]

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

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7742\)

2.2.66.9 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {-e+\log (3)}{-20-x+x \log (x)}} (e-\log (3)) \log (x)}{400+40 x+x^2+\left (-40 x-2 x^2\right ) \log (x)+x^2 \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((-log(3)+exp(1))*log(x)*exp((log(3)-exp(1))/(x*log(x)-x-20))/(x^2*log(x)^2+(-2*x^2-40*x)*log(x)+x^2+
40*x+400),x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7758\)

2.2.66.10 Maxima [F(-2)]

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

[In]

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

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7816\)

2.2.66.11 Maxima [F(-2)]

Exception generated. \[ \int \frac {-4+100 e^{2/5}+12 x^2-2 x^3+\sqrt [5]{e} \left (-80 x+10 x^2\right )+e^x \left (-1+x+2 x^2-2 x^3-x^4+x^5+e^{4/5} (-625+625 x)+e^{3/5} \left (500 x-500 x^2\right )+e^{2/5} \left (50-50 x-150 x^2+150 x^3\right )+\sqrt [5]{e} \left (-20 x+20 x^2+20 x^3-20 x^4\right )\right )}{x^2+625 e^{4/5} x^2-500 e^{3/5} x^3-2 x^4+x^6+e^{2/5} \left (-50 x^2+150 x^4\right )+\sqrt [5]{e} \left (20 x^3-20 x^5\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((625*x-625)*exp(1/5)^4+(-500*x^2+500*x)*exp(1/5)^3+(150*x^3-150*x^2-50*x+50)*exp(1/5)^2+(-20*x^4+2
0*x^3+20*x^2-20*x)*exp(1/5)+x^5-x^4-2*x^3+2*x^2+x-1)*exp(x)+100*exp(1/5)^2+(10*x^2-80*x)*exp(1/5)-2*x^3+12*x^2
-4)/(625*x^2*exp(1/5)^4-500*x^3*exp(1/5)^3+(150*x^4-50*x^2)*exp(1/5)^2+(-20*x^5+20*x^3)*exp(1/5)+x^6-2*x^4+x^2
),x, algorithm="maxima")

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8133\)

2.2.66.12 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {e^{2 x}+\left (-x+x^2\right ) \log \left (\frac {1}{13} (65+5 x \log (2))\right )}{\log \left (\frac {1}{13} (65+5 x \log (2))\right )}} \left (-e^{2 x} \log (2)+e^{2 x} (26+2 x \log (2)) \log \left (\frac {1}{13} (65+5 x \log (2))\right )+\left (-13+26 x+\left (-x+2 x^2\right ) \log (2)\right ) \log ^2\left (\frac {1}{13} (65+5 x \log (2))\right )\right )}{(13+x \log (2)) \log ^2\left (\frac {1}{13} (65+5 x \log (2))\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((2*x^2-x)*log(2)+26*x-13)*log(5/13*x*log(2)+5)^2+(2*x*log(2)+26)*exp(2*x)*log(5/13*x*log(2)+5)-log
(2)*exp(2*x))*exp(((x^2-x)*log(5/13*x*log(2)+5)+exp(2*x))/log(5/13*x*log(2)+5))/(x*log(2)+13)/log(5/13*x*log(2
)+5)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8239\)

2.2.66.13 Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (600-160 x-136 x^2-16 x^3\right ) \log ^2(2 x)+e^{\frac {x}{(40+8 x) \log (2 x)}} \left (-5 x-x^2+5 x \log (2 x)+\left (200+80 x+8 x^2\right ) \log ^2(2 x)\right )}{\left (200+80 x+8 x^2\right ) \log ^2(2 x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((8*x^2+80*x+200)*log(2*x)^2+5*x*log(2*x)-x^2-5*x)*exp(x/(8*x+40)/log(2*x))+(-16*x^3-136*x^2-160*x+
600)*log(2*x)^2)/(8*x^2+80*x+200)/log(2*x)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8325\)

2.2.66.14 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{x^2} x+5 x^2+e^{\frac {1-x^4}{x^2}} x^2+\left (5 x^2+2 e^{x^2} x^3+e^{\frac {1-x^4}{x^2}} \left (-2+x^2-2 x^4\right )\right ) \log (x)}{x^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((2*x^3*exp(x^2)+(-2*x^4+x^2-2)*exp((-x^4+1)/x^2)+5*x^2)*log(x)+exp(x^2)*x+x^2*exp((-x^4+1)/x^2)+5*x
^2)/x^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> Encountered operator mismatch in maxima-to-sr translation

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8419\)

2.2.66.15 Maxima [F(-2)]

Exception generated. \[ \int \frac {4 e^{\frac {1}{6} (2+3 x)} x^2+e^{\frac {1}{12} (2+3 x)} \left (-6 x+x^2+x^3\right )+e^{\frac {1}{12} (2+3 x)} \left (8-14 x-2 x^2\right ) \log (x)}{16-16 x+4 x^2+4 e^{\frac {1}{6} (2+3 x)} x^2+e^{\frac {1}{12} (2+3 x)} \left (-16 x+8 x^2\right )+\left (32-16 x-16 e^{\frac {1}{12} (2+3 x)} x\right ) \log (x)+16 \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-2*x^2-14*x+8)*exp(1/4*x+1/6)*log(x)+4*x^2*exp(1/4*x+1/6)^2+(x^3+x^2-6*x)*exp(1/4*x+1/6))/(16*log(
x)^2+(-16*x*exp(1/4*x+1/6)-16*x+32)*log(x)+4*x^2*exp(1/4*x+1/6)^2+(8*x^2-16*x)*exp(1/4*x+1/6)+4*x^2-16*x+16),x
, algorithm="maxima")

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8609\)

2.2.66.16 Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (6 x+12 x^2+4 x^3\right ) \log ^2(3 x)+e^{\frac {2 \left (-x^2+x^3\right )}{\log (3 x)}} \left (6 x^2+2 x^3-6 x^4-2 x^5+\left (-12 x^2+2 x^3+20 x^4+6 x^5\right ) \log (3 x)+\left (3+8 x+3 x^2\right ) \log ^2(3 x)\right )}{\log ^2(3 x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((3*x^2+8*x+3)*log(3*x)^2+(6*x^5+20*x^4+2*x^3-12*x^2)*log(3*x)-2*x^5-6*x^4+2*x^3+6*x^2)*exp((x^3-x^
2)/log(3*x))^2+(4*x^3+12*x^2+6*x)*log(3*x)^2)/log(3*x)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8617\)

2.2.66.17 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {5}{x^4 \log \left (-3 x+2 x^5\right )}} \left (-45+150 x^4+\left (-180+120 x^4\right ) \log \left (-3 x+2 x^5\right )\right )}{\left (-3 x^5+2 x^9\right ) \log ^2\left (-3 x+2 x^5\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((120*x^4-180)*log(2*x^5-3*x)+150*x^4-45)/(2*x^9-3*x^5)/log(2*x^5-3*x)^2/exp(5/x^4/log(2*x^5-3*x)),x
, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8620\)

2.2.66.18 Maxima [F(-2)]

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

[In]

integrate(1/3*((-4*log(16/x^2)^2+(-4*x^2+4*x)*log(16/x^2)-8*x^2+8*x)*exp(x/log(16/x^2))-4*log(5)*log(16/x^2)^2
)/x^2/log(16/x^2)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8800\)

2.2.66.19 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {e^x+x^2}{x^3 \log \left (-2+e^{3/2}\right ) \log (4+2 x)}} \left (-e^x x-x^3+\left (-2 x^2-x^3+e^x \left (-6-x+x^2\right )\right ) \log (4+2 x)\right )}{\left (2 x^4+x^5\right ) \log \left (-2+e^{3/2}\right ) \log ^2(4+2 x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((x^2-x-6)*exp(x)-x^3-2*x^2)*log(4+2*x)-exp(x)*x-x^3)*exp((x^2+exp(x))/x^3/log(4+2*x)/log(exp(3/2)-
2))/(x^5+2*x^4)/log(4+2*x)^2/log(exp(3/2)-2),x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8821\)

2.2.66.20 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{-400 x^5+\left (2000 x^4+400 x^5\right ) \log (x)}} (-5+4 x+(-20-5 x) \log (x))}{200 x^7+\left (-2000 x^6-400 x^7\right ) \log (x)+\left (5000 x^5+2000 x^6+200 x^7\right ) \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-5*x-20)*log(x)+4*x-5)/((200*x^7+2000*x^6+5000*x^5)*log(x)^2+(-400*x^7-2000*x^6)*log(x)+200*x^7)/e
xp(-1/((400*x^5+2000*x^4)*log(x)-400*x^5)),x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8869\)

2.2.66.21 Maxima [F(-2)]

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

[In]

integrate(1/2*((x^2*exp(5)*log(x)^2-6*log(x)-3)*log(exp(2)+2)^2*exp(3/x^2/exp(5)/log(x))^2+(-4*x^2*exp(5)*log(
x)^2+12*log(x)+6)*log(exp(2)+2)*exp(3/x^2/exp(5)/log(x))+4*x^2*exp(5)*log(x)^2)/x/exp(5)/log(x)^2/log(exp(2)+2
)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8893\)

2.2.66.22 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {x}{2+\log (-18-2 x+\log (4)+3 \log (25))}} (-36-2 x+2 \log (4)+6 \log (25)+(-18-2 x+\log (4)+3 \log (25)) \log (-18-2 x+\log (4)+3 \log (25)))}{-72-8 x+4 \log (4)+12 \log (25)+(-72-8 x+4 \log (4)+12 \log (25)) \log (-18-2 x+\log (4)+3 \log (25))+(-18-2 x+\log (4)+3 \log (25)) \log ^2(-18-2 x+\log (4)+3 \log (25))} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((6*log(5)+2*log(2)-2*x-18)*log(6*log(5)+2*log(2)-2*x-18)+12*log(5)+4*log(2)-2*x-36)*exp(x/(log(6*lo
g(5)+2*log(2)-2*x-18)+2))/((6*log(5)+2*log(2)-2*x-18)*log(6*log(5)+2*log(2)-2*x-18)^2+(24*log(5)+8*log(2)-8*x-
72)*log(6*log(5)+2*log(2)-2*x-18)+24*log(5)+8*log(2)-8*x-72),x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(8900\)

2.2.66.23 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {2 x}{\log (x)}} \left (-2 x^2+2 x^2 \log (x)+2 x \log ^2(x)+e^{-30+2 x-2 x \log (2 x)} \left (-2+2 \log (x)-2 \log ^2(x) \log (2 x)\right )+e^{-15+x-x \log (2 x)} \left (4 x-4 x \log (x)-2 \log ^2(x)+2 x \log ^2(x) \log (2 x)\right )\right )}{5 \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/5*((-2*log(x)^2*log(2*x)+2*log(x)-2)*exp(-x*log(2*x)+x-15)^2+(2*x*log(x)^2*log(2*x)-2*log(x)^2-4*x
*log(x)+4*x)*exp(-x*log(2*x)+x-15)+2*x*log(x)^2+2*x^2*log(x)-2*x^2)*exp(x/log(x))^2/log(x)^2,x, algorithm="max
ima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9001\)

2.2.66.24 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3+e^{10} \left (-x^2-x^3\right )}{-e^{10} x^2+e^{10} x^2 \log \left (\frac {x}{5 \log (x)}\right )}} \left (3+e^{10} \left (-x^2-x^3\right )+\left (3+e^{10} \left (x^2+2 x^3\right )\right ) \log (x)+\left (-6-e^{10} x^3\right ) \log (x) \log \left (\frac {x}{5 \log (x)}\right )\right )}{e^{10} x^3 \log (x)-2 e^{10} x^3 \log (x) \log \left (\frac {x}{5 \log (x)}\right )+e^{10} x^3 \log (x) \log ^2\left (\frac {x}{5 \log (x)}\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-x^3*exp(5)^2-6)*log(x)*log(1/5*x/log(x))+((2*x^3+x^2)*exp(5)^2+3)*log(x)+(-x^3-x^2)*exp(5)^2+3)*e
xp(((-x^3-x^2)*exp(5)^2+3)/(x^2*exp(5)^2*log(1/5*x/log(x))-x^2*exp(5)^2))/(x^3*exp(5)^2*log(x)*log(1/5*x/log(x
))^2-2*x^3*exp(5)^2*log(x)*log(1/5*x/log(x))+x^3*exp(5)^2*log(x)),x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9011\)

2.2.66.25 Maxima [F(-2)]

Exception generated. \[ \int \frac {240-320 x^4+e^{2/3} \left (-5 x^2+20 x^6\right )}{-256 x+128 x^5-16 x^9+e^{2/3} \left (16 x^3-8 x^7+x^{11}\right )+\left (-128 x+32 x^5+e^{2/3} \left (8 x^3-2 x^7\right )\right ) \log \left (-\frac {x^3}{-16+e^{2/3} x^2}\right )+\left (-16 x+e^{2/3} x^3\right ) \log ^2\left (-\frac {x^3}{-16+e^{2/3} x^2}\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((20*x^6-5*x^2)*exp(2/3)-320*x^4+240)/((x^3*exp(2/3)-16*x)*log(-x^3/(x^2*exp(2/3)-16))^2+((-2*x^7+8*
x^3)*exp(2/3)+32*x^5-128*x)*log(-x^3/(x^2*exp(2/3)-16))+(x^11-8*x^7+16*x^3)*exp(2/3)-16*x^9+128*x^5-256*x),x,
algorithm="maxima")

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9132\)

2.2.66.26 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {-9+2 x \log \left (3+e^x+4 x^2\right )}{x \log \left (3+e^x+4 x^2\right )}} \left (9 e^x x+72 x^2+\left (27+9 e^x+36 x^2\right ) \log \left (3+e^x+4 x^2\right )\right )}{\left (3 x^2+e^x x^2+4 x^4\right ) \log ^2\left (3+e^x+4 x^2\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((9*exp(x)+36*x^2+27)*log(exp(x)+4*x^2+3)+9*exp(x)*x+72*x^2)*exp((2*x*log(exp(x)+4*x^2+3)-9)/x/log(e
xp(x)+4*x^2+3))/(exp(x)*x^2+4*x^4+3*x^2)/log(exp(x)+4*x^2+3)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9332\)

2.2.66.27 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-2 x} \left (e^{2 x} \left (-2 x+x^2\right ) \log ^2(2-x)+e^{\frac {9+3 x}{\log (2-x)}} \left (-18-6 x+(-12+6 x) \log (2-x)+(8-4 x) \log ^2(2-x)\right )+e^{\frac {9+3 x}{2 \log (2-x)}} \left (e^x \left (9 x+3 x^2\right )+e^x \left (6 x-3 x^2\right ) \log (2-x)+e^x \left (4-6 x+2 x^2\right ) \log ^2(2-x)\right )\right )}{(-4+2 x) \log ^2(2-x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((-4*x+8)*log(2-x)^2+(6*x-12)*log(2-x)-6*x-18)*exp(1/2*(3*x+9)/log(2-x))^2+((2*x^2-6*x+4)*exp(x)*lo
g(2-x)^2+(-3*x^2+6*x)*exp(x)*log(2-x)+(3*x^2+9*x)*exp(x))*exp(1/2*(3*x+9)/log(2-x))+(x^2-2*x)*exp(x)^2*log(2-x
)^2)/(2*x-4)/exp(x)^2/log(2-x)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9345\)

2.2.66.28 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {9+123 x+30 x^2}{10 \log \left (\frac {2+x^2}{x}\right )}} \left (18+246 x+51 x^2-123 x^3-30 x^4+\left (246 x+120 x^2+123 x^3+60 x^4\right ) \log \left (\frac {2+x^2}{x}\right )+\left (20+10 x^2\right ) \log ^2\left (\frac {2+x^2}{x}\right )\right )}{\left (20+10 x^2\right ) \log ^2\left (\frac {2+x^2}{x}\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((10*x^2+20)*log((x^2+2)/x)^2+(60*x^4+123*x^3+120*x^2+246*x)*log((x^2+2)/x)-30*x^4-123*x^3+51*x^2+24
6*x+18)*exp(1/10*(30*x^2+123*x+9)/log((x^2+2)/x))/(10*x^2+20)/log((x^2+2)/x)^2,x, algorithm="maxima")

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9541\)

2.2.66.29 Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {-x+\log (x)}{\left (5+e^x\right ) \log \left (\log \left (25 x^2\right )\right )}} \left (10 x \log (2)+2 e^x x \log (2)+\left (-10 \log (2)-2 e^x \log (2)\right ) \log (x)+\left ((5-5 x) \log (2)+e^x \left (1-x+x^2\right ) \log (2)-e^x x \log (2) \log (x)\right ) \log \left (25 x^2\right ) \log \left (\log \left (25 x^2\right )\right )\right )}{\left (25 x+10 e^x x+e^{2 x} x\right ) \log \left (25 x^2\right ) \log ^2\left (\log \left (25 x^2\right )\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-x*log(2)*exp(x)*log(x)+(x^2-x+1)*log(2)*exp(x)+(-5*x+5)*log(2))*log(25*x^2)*log(log(25*x^2))+(-2*
exp(x)*log(2)-10*log(2))*log(x)+2*x*log(2)*exp(x)+10*x*log(2))*exp((log(x)-x)/(exp(x)+5)/log(log(25*x^2)))/(x*
exp(x)^2+10*exp(x)*x+25*x)/log(25*x^2)/log(log(25*x^2))^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9566\)

2.2.66.30 Maxima [F(-2)]

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

[In]

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*l
og(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")

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9667\)

2.2.66.31 Maxima [F(-2)]

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

[In]

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)*e
xp(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")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9697\)

2.2.66.32 Maxima [F(-2)]

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

[In]

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")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9749\)

2.2.66.33 Maxima [F(-2)]

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

[In]

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")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9775\)

2.2.66.34 Maxima [F(-2)]

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

[In]

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")

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9911\)

2.2.66.35 Maxima [F(-2)]

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

[In]

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))/(16*x^5+16*x^4+4*x^3)/log(x^2)^2,x, algorithm="maxima")

[Out]

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 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9947\)

2.2.66.36 Maxima [F(-2)]

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

[In]

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"
)

[Out]

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

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(9962\)

2.2.66.37 Maxima [F(-2)]

Exception generated. \[ \int \sin ^{99}(x) \sin (101 x) \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(sin(101*x)*sin(x)^99,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: Memory limit reached. Please jump to an outer pointer, quit progra
m and enlarge thememory limits before executing the program again.

input file name 11_MIT/MIT_bee_problems.txt

Test file number \(211\)

Integral number in file \(46\)

2.2.66.38 Maxima [F(-2)]

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

[In]

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

[Out]

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

input file name 12_table_of_integrals/table_of_integrals_problems.txt

Test file number \(212\)

Integral number in file \(61\)