3.89.97 \(\int \frac {e^{-\frac {3025+6065 x+2856 x^2+58 x^3-174 x^4-3 x^5+9 x^6+x^7+(660+852 x+144 x^2-60 x^3-12 x^4) \log (4)+(-74-106 x-24 x^2+10 x^3+2 x^4) \log ^2(4)+(-12-12 x) \log ^3(4)+(1+x) \log ^4(4)}{3025+1760 x-184 x^2-238 x^3-16 x^4+8 x^5+x^6+(660+192 x-48 x^2-12 x^3) \log (4)+(-74-32 x+8 x^2+2 x^3) \log ^2(4)-12 \log ^3(4)+\log ^4(4)}} (-166375+91575 x+259580 x^2+126599 x^3+21533 x^4+3943 x^5+2515 x^6+625 x^7+17 x^8-11 x^9-x^{10}+(-54450+30450 x+50352 x^2+9612 x^3-2076 x^4-282 x^5+126 x^6+18 x^7) \log (4)+(3135-863 x-6232 x^2-1926 x^3+238 x^4+47 x^5-21 x^6-3 x^7) \log ^2(4)+(1764-1188 x-720 x^2+108 x^3+36 x^4) \log ^3(4)+(-57+9 x+60 x^2-9 x^3-3 x^4) \log ^4(4)+(-18+18 x) \log ^5(4)+(1-x) \log ^6(4))}{-166375-145200 x-5940 x^2+26099 x^3+5712 x^4-1320 x^5-485 x^6+12 x^8+x^9+(-54450-31680 x+3312 x^2+4284 x^3+288 x^4-144 x^5-18 x^6) \log (4)+(3135+3552 x-120 x^2-606 x^3-48 x^4+24 x^5+3 x^6) \log ^2(4)+(1764+576 x-144 x^2-36 x^3) \log ^3(4)+(-57-48 x+12 x^2+3 x^3) \log ^4(4)-18 \log ^5(4)+\log ^6(4)} \, dx\)
Optimal. Leaf size=31 \[ e^{-1-x-\frac {5 x}{\left (-4+x+\frac {(3-\log (4))^2}{(4+x)^2}\right )^2}} x \]
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Rubi [F] time = 180.00, antiderivative size = 0, normalized size of antiderivative = 0.00,
number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used =
{} \begin {gather*} \text {\$Aborted} \end {gather*}
Verification is not applicable to the result.
[In]
Int[(-166375 + 91575*x + 259580*x^2 + 126599*x^3 + 21533*x^4 + 3943*x^5 + 2515*x^6 + 625*x^7 + 17*x^8 - 11*x^9
- x^10 + (-54450 + 30450*x + 50352*x^2 + 9612*x^3 - 2076*x^4 - 282*x^5 + 126*x^6 + 18*x^7)*Log[4] + (3135 - 8
63*x - 6232*x^2 - 1926*x^3 + 238*x^4 + 47*x^5 - 21*x^6 - 3*x^7)*Log[4]^2 + (1764 - 1188*x - 720*x^2 + 108*x^3
+ 36*x^4)*Log[4]^3 + (-57 + 9*x + 60*x^2 - 9*x^3 - 3*x^4)*Log[4]^4 + (-18 + 18*x)*Log[4]^5 + (1 - x)*Log[4]^6)
/(E^((3025 + 6065*x + 2856*x^2 + 58*x^3 - 174*x^4 - 3*x^5 + 9*x^6 + x^7 + (660 + 852*x + 144*x^2 - 60*x^3 - 12
*x^4)*Log[4] + (-74 - 106*x - 24*x^2 + 10*x^3 + 2*x^4)*Log[4]^2 + (-12 - 12*x)*Log[4]^3 + (1 + x)*Log[4]^4)/(3
025 + 1760*x - 184*x^2 - 238*x^3 - 16*x^4 + 8*x^5 + x^6 + (660 + 192*x - 48*x^2 - 12*x^3)*Log[4] + (-74 - 32*x
+ 8*x^2 + 2*x^3)*Log[4]^2 - 12*Log[4]^3 + Log[4]^4))*(-166375 - 145200*x - 5940*x^2 + 26099*x^3 + 5712*x^4 -
1320*x^5 - 485*x^6 + 12*x^8 + x^9 + (-54450 - 31680*x + 3312*x^2 + 4284*x^3 + 288*x^4 - 144*x^5 - 18*x^6)*Log[
4] + (3135 + 3552*x - 120*x^2 - 606*x^3 - 48*x^4 + 24*x^5 + 3*x^6)*Log[4]^2 + (1764 + 576*x - 144*x^2 - 36*x^3
)*Log[4]^3 + (-57 - 48*x + 12*x^2 + 3*x^3)*Log[4]^4 - 18*Log[4]^5 + Log[4]^6)),x]
[Out]
$Aborted
Rubi steps
Aborted
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Mathematica [B] time = 0.40, size = 109, normalized size = 3.52 \begin {gather*} e^{-1-x-\frac {5 \left (64+12 x+x^2\right )}{-55-16 x+4 x^2+x^3-6 \log (4)+\log ^2(4)}+\frac {5 \left (x^2 \left (-247-6 \log (4)+\log ^2(4)\right )+64 \left (-55-6 \log (4)+\log ^2(4)\right )+4 x \left (-485-18 \log (4)+3 \log ^2(4)\right )\right )}{\left (-55-16 x+4 x^2+x^3-6 \log (4)+\log ^2(4)\right )^2}} x \end {gather*}
Antiderivative was successfully verified.
[In]
Integrate[(-166375 + 91575*x + 259580*x^2 + 126599*x^3 + 21533*x^4 + 3943*x^5 + 2515*x^6 + 625*x^7 + 17*x^8 -
11*x^9 - x^10 + (-54450 + 30450*x + 50352*x^2 + 9612*x^3 - 2076*x^4 - 282*x^5 + 126*x^6 + 18*x^7)*Log[4] + (31
35 - 863*x - 6232*x^2 - 1926*x^3 + 238*x^4 + 47*x^5 - 21*x^6 - 3*x^7)*Log[4]^2 + (1764 - 1188*x - 720*x^2 + 10
8*x^3 + 36*x^4)*Log[4]^3 + (-57 + 9*x + 60*x^2 - 9*x^3 - 3*x^4)*Log[4]^4 + (-18 + 18*x)*Log[4]^5 + (1 - x)*Log
[4]^6)/(E^((3025 + 6065*x + 2856*x^2 + 58*x^3 - 174*x^4 - 3*x^5 + 9*x^6 + x^7 + (660 + 852*x + 144*x^2 - 60*x^
3 - 12*x^4)*Log[4] + (-74 - 106*x - 24*x^2 + 10*x^3 + 2*x^4)*Log[4]^2 + (-12 - 12*x)*Log[4]^3 + (1 + x)*Log[4]
^4)/(3025 + 1760*x - 184*x^2 - 238*x^3 - 16*x^4 + 8*x^5 + x^6 + (660 + 192*x - 48*x^2 - 12*x^3)*Log[4] + (-74
- 32*x + 8*x^2 + 2*x^3)*Log[4]^2 - 12*Log[4]^3 + Log[4]^4))*(-166375 - 145200*x - 5940*x^2 + 26099*x^3 + 5712*
x^4 - 1320*x^5 - 485*x^6 + 12*x^8 + x^9 + (-54450 - 31680*x + 3312*x^2 + 4284*x^3 + 288*x^4 - 144*x^5 - 18*x^6
)*Log[4] + (3135 + 3552*x - 120*x^2 - 606*x^3 - 48*x^4 + 24*x^5 + 3*x^6)*Log[4]^2 + (1764 + 576*x - 144*x^2 -
36*x^3)*Log[4]^3 + (-57 - 48*x + 12*x^2 + 3*x^3)*Log[4]^4 - 18*Log[4]^5 + Log[4]^6)),x]
[Out]
E^(-1 - x - (5*(64 + 12*x + x^2))/(-55 - 16*x + 4*x^2 + x^3 - 6*Log[4] + Log[4]^2) + (5*(x^2*(-247 - 6*Log[4]
+ Log[4]^2) + 64*(-55 - 6*Log[4] + Log[4]^2) + 4*x*(-485 - 18*Log[4] + 3*Log[4]^2)))/(-55 - 16*x + 4*x^2 + x^3
- 6*Log[4] + Log[4]^2)^2)*x
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fricas [B] time = 0.53, size = 180, normalized size = 5.81 \begin {gather*} x e^{\left (-\frac {x^{7} + 9 \, x^{6} - 3 \, x^{5} + 16 \, {\left (x + 1\right )} \log \relax (2)^{4} - 174 \, x^{4} - 96 \, {\left (x + 1\right )} \log \relax (2)^{3} + 58 \, x^{3} + 8 \, {\left (x^{4} + 5 \, x^{3} - 12 \, x^{2} - 53 \, x - 37\right )} \log \relax (2)^{2} + 2856 \, x^{2} - 24 \, {\left (x^{4} + 5 \, x^{3} - 12 \, x^{2} - 71 \, x - 55\right )} \log \relax (2) + 6065 \, x + 3025}{x^{6} + 8 \, x^{5} - 16 \, x^{4} + 16 \, \log \relax (2)^{4} - 238 \, x^{3} + 8 \, {\left (x^{3} + 4 \, x^{2} - 16 \, x - 37\right )} \log \relax (2)^{2} - 96 \, \log \relax (2)^{3} - 184 \, x^{2} - 24 \, {\left (x^{3} + 4 \, x^{2} - 16 \, x - 55\right )} \log \relax (2) + 1760 \, x + 3025}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((64*(-x+1)*log(2)^6+32*(18*x-18)*log(2)^5+16*(-3*x^4-9*x^3+60*x^2+9*x-57)*log(2)^4+8*(36*x^4+108*x^3
-720*x^2-1188*x+1764)*log(2)^3+4*(-3*x^7-21*x^6+47*x^5+238*x^4-1926*x^3-6232*x^2-863*x+3135)*log(2)^2+2*(18*x^
7+126*x^6-282*x^5-2076*x^4+9612*x^3+50352*x^2+30450*x-54450)*log(2)-x^10-11*x^9+17*x^8+625*x^7+2515*x^6+3943*x
^5+21533*x^4+126599*x^3+259580*x^2+91575*x-166375)/(64*log(2)^6-576*log(2)^5+16*(3*x^3+12*x^2-48*x-57)*log(2)^
4+8*(-36*x^3-144*x^2+576*x+1764)*log(2)^3+4*(3*x^6+24*x^5-48*x^4-606*x^3-120*x^2+3552*x+3135)*log(2)^2+2*(-18*
x^6-144*x^5+288*x^4+4284*x^3+3312*x^2-31680*x-54450)*log(2)+x^9+12*x^8-485*x^6-1320*x^5+5712*x^4+26099*x^3-594
0*x^2-145200*x-166375)/exp((16*(x+1)*log(2)^4+8*(-12*x-12)*log(2)^3+4*(2*x^4+10*x^3-24*x^2-106*x-74)*log(2)^2+
2*(-12*x^4-60*x^3+144*x^2+852*x+660)*log(2)+x^7+9*x^6-3*x^5-174*x^4+58*x^3+2856*x^2+6065*x+3025)/(16*log(2)^4-
96*log(2)^3+4*(2*x^3+8*x^2-32*x-74)*log(2)^2+2*(-12*x^3-48*x^2+192*x+660)*log(2)+x^6+8*x^5-16*x^4-238*x^3-184*
x^2+1760*x+3025)),x, algorithm="fricas")
[Out]
x*e^(-(x^7 + 9*x^6 - 3*x^5 + 16*(x + 1)*log(2)^4 - 174*x^4 - 96*(x + 1)*log(2)^3 + 58*x^3 + 8*(x^4 + 5*x^3 - 1
2*x^2 - 53*x - 37)*log(2)^2 + 2856*x^2 - 24*(x^4 + 5*x^3 - 12*x^2 - 71*x - 55)*log(2) + 6065*x + 3025)/(x^6 +
8*x^5 - 16*x^4 + 16*log(2)^4 - 238*x^3 + 8*(x^3 + 4*x^2 - 16*x - 37)*log(2)^2 - 96*log(2)^3 - 184*x^2 - 24*(x^
3 + 4*x^2 - 16*x - 55)*log(2) + 1760*x + 3025))
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giac [B] time = 89.80, size = 209, normalized size = 6.74 \begin {gather*} x e^{\left (-\frac {x^{7} + 8 \, x^{6} + 8 \, x^{4} \log \relax (2)^{2} - 11 \, x^{5} - 24 \, x^{4} \log \relax (2) + 32 \, x^{3} \log \relax (2)^{2} + 16 \, x \log \relax (2)^{4} - 158 \, x^{4} - 96 \, x^{3} \log \relax (2) - 128 \, x^{2} \log \relax (2)^{2} - 96 \, x \log \relax (2)^{3} + 296 \, x^{3} + 384 \, x^{2} \log \relax (2) - 296 \, x \log \relax (2)^{2} + 3040 \, x^{2} + 1320 \, x \log \relax (2) + 4305 \, x}{x^{6} + 8 \, x^{5} + 8 \, x^{3} \log \relax (2)^{2} - 16 \, x^{4} - 24 \, x^{3} \log \relax (2) + 32 \, x^{2} \log \relax (2)^{2} + 16 \, \log \relax (2)^{4} - 238 \, x^{3} - 96 \, x^{2} \log \relax (2) - 128 \, x \log \relax (2)^{2} - 96 \, \log \relax (2)^{3} - 184 \, x^{2} + 384 \, x \log \relax (2) - 296 \, \log \relax (2)^{2} + 1760 \, x + 1320 \, \log \relax (2) + 3025} - 1\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((64*(-x+1)*log(2)^6+32*(18*x-18)*log(2)^5+16*(-3*x^4-9*x^3+60*x^2+9*x-57)*log(2)^4+8*(36*x^4+108*x^3
-720*x^2-1188*x+1764)*log(2)^3+4*(-3*x^7-21*x^6+47*x^5+238*x^4-1926*x^3-6232*x^2-863*x+3135)*log(2)^2+2*(18*x^
7+126*x^6-282*x^5-2076*x^4+9612*x^3+50352*x^2+30450*x-54450)*log(2)-x^10-11*x^9+17*x^8+625*x^7+2515*x^6+3943*x
^5+21533*x^4+126599*x^3+259580*x^2+91575*x-166375)/(64*log(2)^6-576*log(2)^5+16*(3*x^3+12*x^2-48*x-57)*log(2)^
4+8*(-36*x^3-144*x^2+576*x+1764)*log(2)^3+4*(3*x^6+24*x^5-48*x^4-606*x^3-120*x^2+3552*x+3135)*log(2)^2+2*(-18*
x^6-144*x^5+288*x^4+4284*x^3+3312*x^2-31680*x-54450)*log(2)+x^9+12*x^8-485*x^6-1320*x^5+5712*x^4+26099*x^3-594
0*x^2-145200*x-166375)/exp((16*(x+1)*log(2)^4+8*(-12*x-12)*log(2)^3+4*(2*x^4+10*x^3-24*x^2-106*x-74)*log(2)^2+
2*(-12*x^4-60*x^3+144*x^2+852*x+660)*log(2)+x^7+9*x^6-3*x^5-174*x^4+58*x^3+2856*x^2+6065*x+3025)/(16*log(2)^4-
96*log(2)^3+4*(2*x^3+8*x^2-32*x-74)*log(2)^2+2*(-12*x^3-48*x^2+192*x+660)*log(2)+x^6+8*x^5-16*x^4-238*x^3-184*
x^2+1760*x+3025)),x, algorithm="giac")
[Out]
x*e^(-(x^7 + 8*x^6 + 8*x^4*log(2)^2 - 11*x^5 - 24*x^4*log(2) + 32*x^3*log(2)^2 + 16*x*log(2)^4 - 158*x^4 - 96*
x^3*log(2) - 128*x^2*log(2)^2 - 96*x*log(2)^3 + 296*x^3 + 384*x^2*log(2) - 296*x*log(2)^2 + 3040*x^2 + 1320*x*
log(2) + 4305*x)/(x^6 + 8*x^5 + 8*x^3*log(2)^2 - 16*x^4 - 24*x^3*log(2) + 32*x^2*log(2)^2 + 16*log(2)^4 - 238*
x^3 - 96*x^2*log(2) - 128*x*log(2)^2 - 96*log(2)^3 - 184*x^2 + 384*x*log(2) - 296*log(2)^2 + 1760*x + 1320*log
(2) + 3025) - 1)
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maple [B] time = 0.03, size = 232, normalized size = 7.48 \[x \,{\mathrm e}^{-\frac {8 x^{4} \ln \relax (2)^{2}+16 x \ln \relax (2)^{4}+40 x^{3} \ln \relax (2)^{2}+x^{4} \ln \left (\frac {1}{16777216}\right )+16 \ln \relax (2)^{4}-96 x \ln \relax (2)^{3}-96 x^{2} \ln \relax (2)^{2}-120 x^{3} \ln \relax (2)-96 \ln \relax (2)^{3}-424 x \ln \relax (2)^{2}+288 x^{2} \ln \relax (2)-296 \ln \relax (2)^{2}+1704 x \ln \relax (2)+1320 \ln \relax (2)+x^{7}+9 x^{6}-3 x^{5}-174 x^{4}+58 x^{3}+2856 x^{2}+6065 x +3025}{8 x^{3} \ln \relax (2)^{2}+16 \ln \relax (2)^{4}+32 x^{2} \ln \relax (2)^{2}+x^{3} \ln \left (\frac {1}{16777216}\right )-96 \ln \relax (2)^{3}-128 x \ln \relax (2)^{2}-96 x^{2} \ln \relax (2)-296 \ln \relax (2)^{2}+384 x \ln \relax (2)+1320 \ln \relax (2)+x^{6}+8 x^{5}-16 x^{4}-238 x^{3}-184 x^{2}+1760 x +3025}}\]
Verification of antiderivative is not currently implemented for this CAS.
[In]
int((64*(1-x)*ln(2)^6+32*(18*x-18)*ln(2)^5+16*(-3*x^4-9*x^3+60*x^2+9*x-57)*ln(2)^4+8*(36*x^4+108*x^3-720*x^2-1
188*x+1764)*ln(2)^3+4*(-3*x^7-21*x^6+47*x^5+238*x^4-1926*x^3-6232*x^2-863*x+3135)*ln(2)^2+2*(18*x^7+126*x^6-28
2*x^5-2076*x^4+9612*x^3+50352*x^2+30450*x-54450)*ln(2)-x^10-11*x^9+17*x^8+625*x^7+2515*x^6+3943*x^5+21533*x^4+
126599*x^3+259580*x^2+91575*x-166375)/(64*ln(2)^6-576*ln(2)^5+16*(3*x^3+12*x^2-48*x-57)*ln(2)^4+8*(-36*x^3-144
*x^2+576*x+1764)*ln(2)^3+4*(3*x^6+24*x^5-48*x^4-606*x^3-120*x^2+3552*x+3135)*ln(2)^2+2*(-18*x^6-144*x^5+288*x^
4+4284*x^3+3312*x^2-31680*x-54450)*ln(2)+x^9+12*x^8-485*x^6-1320*x^5+5712*x^4+26099*x^3-5940*x^2-145200*x-1663
75)/exp((16*(x+1)*ln(2)^4+8*(-12*x-12)*ln(2)^3+4*(2*x^4+10*x^3-24*x^2-106*x-74)*ln(2)^2+2*(-12*x^4-60*x^3+144*
x^2+852*x+660)*ln(2)+x^7+9*x^6-3*x^5-174*x^4+58*x^3+2856*x^2+6065*x+3025)/(16*ln(2)^4-96*ln(2)^3+4*(2*x^3+8*x^
2-32*x-74)*ln(2)^2+2*(-12*x^3-48*x^2+192*x+660)*ln(2)+x^6+8*x^5-16*x^4-238*x^3-184*x^2+1760*x+3025)),x)
[Out]
x/exp((x^7+8*x^4*ln(2)^2+9*x^6+16*x*ln(2)^4+40*x^3*ln(2)^2-24*x^4*ln(2)-3*x^5+16*ln(2)^4-96*x*ln(2)^3-96*x^2*l
n(2)^2-120*x^3*ln(2)-174*x^4-96*ln(2)^3-424*x*ln(2)^2+288*x^2*ln(2)+58*x^3-296*ln(2)^2+1704*x*ln(2)+2856*x^2+1
320*ln(2)+6065*x+3025)/(x^6+8*x^3*ln(2)^2+8*x^5+16*ln(2)^4+32*x^2*ln(2)^2-24*x^3*ln(2)-16*x^4-96*ln(2)^3-128*x
*ln(2)^2-96*x^2*ln(2)-238*x^3-296*ln(2)^2+384*x*ln(2)-184*x^2+1320*ln(2)+1760*x+3025))
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maxima [B] time = 8.75, size = 933, normalized size = 30.10 result too large to
display
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((64*(-x+1)*log(2)^6+32*(18*x-18)*log(2)^5+16*(-3*x^4-9*x^3+60*x^2+9*x-57)*log(2)^4+8*(36*x^4+108*x^3
-720*x^2-1188*x+1764)*log(2)^3+4*(-3*x^7-21*x^6+47*x^5+238*x^4-1926*x^3-6232*x^2-863*x+3135)*log(2)^2+2*(18*x^
7+126*x^6-282*x^5-2076*x^4+9612*x^3+50352*x^2+30450*x-54450)*log(2)-x^10-11*x^9+17*x^8+625*x^7+2515*x^6+3943*x
^5+21533*x^4+126599*x^3+259580*x^2+91575*x-166375)/(64*log(2)^6-576*log(2)^5+16*(3*x^3+12*x^2-48*x-57)*log(2)^
4+8*(-36*x^3-144*x^2+576*x+1764)*log(2)^3+4*(3*x^6+24*x^5-48*x^4-606*x^3-120*x^2+3552*x+3135)*log(2)^2+2*(-18*
x^6-144*x^5+288*x^4+4284*x^3+3312*x^2-31680*x-54450)*log(2)+x^9+12*x^8-485*x^6-1320*x^5+5712*x^4+26099*x^3-594
0*x^2-145200*x-166375)/exp((16*(x+1)*log(2)^4+8*(-12*x-12)*log(2)^3+4*(2*x^4+10*x^3-24*x^2-106*x-74)*log(2)^2+
2*(-12*x^4-60*x^3+144*x^2+852*x+660)*log(2)+x^7+9*x^6-3*x^5-174*x^4+58*x^3+2856*x^2+6065*x+3025)/(16*log(2)^4-
96*log(2)^3+4*(2*x^3+8*x^2-32*x-74)*log(2)^2+2*(-12*x^3-48*x^2+192*x+660)*log(2)+x^6+8*x^5-16*x^4-238*x^3-184*
x^2+1760*x+3025)),x, algorithm="maxima")
[Out]
x*e^(20*x^2*log(2)^2/(x^6 + 8*x^5 + 2*(4*log(2)^2 - 12*log(2) - 119)*x^3 - 16*x^4 + 16*log(2)^4 + 8*(4*log(2)^
2 - 12*log(2) - 23)*x^2 - 96*log(2)^3 - 32*(4*log(2)^2 - 12*log(2) - 55)*x - 296*log(2)^2 + 1320*log(2) + 3025
) - 60*x^2*log(2)/(x^6 + 8*x^5 + 2*(4*log(2)^2 - 12*log(2) - 119)*x^3 - 16*x^4 + 16*log(2)^4 + 8*(4*log(2)^2 -
12*log(2) - 23)*x^2 - 96*log(2)^3 - 32*(4*log(2)^2 - 12*log(2) - 55)*x - 296*log(2)^2 + 1320*log(2) + 3025) +
240*x*log(2)^2/(x^6 + 8*x^5 + 2*(4*log(2)^2 - 12*log(2) - 119)*x^3 - 16*x^4 + 16*log(2)^4 + 8*(4*log(2)^2 - 1
2*log(2) - 23)*x^2 - 96*log(2)^3 - 32*(4*log(2)^2 - 12*log(2) - 55)*x - 296*log(2)^2 + 1320*log(2) + 3025) - x
- 1235*x^2/(x^6 + 8*x^5 + 2*(4*log(2)^2 - 12*log(2) - 119)*x^3 - 16*x^4 + 16*log(2)^4 + 8*(4*log(2)^2 - 12*lo
g(2) - 23)*x^2 - 96*log(2)^3 - 32*(4*log(2)^2 - 12*log(2) - 55)*x - 296*log(2)^2 + 1320*log(2) + 3025) - 5*x^2
/(x^3 + 4*x^2 + 4*log(2)^2 - 16*x - 12*log(2) - 55) - 720*x*log(2)/(x^6 + 8*x^5 + 2*(4*log(2)^2 - 12*log(2) -
119)*x^3 - 16*x^4 + 16*log(2)^4 + 8*(4*log(2)^2 - 12*log(2) - 23)*x^2 - 96*log(2)^3 - 32*(4*log(2)^2 - 12*log(
2) - 55)*x - 296*log(2)^2 + 1320*log(2) + 3025) + 1280*log(2)^2/(x^6 + 8*x^5 + 2*(4*log(2)^2 - 12*log(2) - 119
)*x^3 - 16*x^4 + 16*log(2)^4 + 8*(4*log(2)^2 - 12*log(2) - 23)*x^2 - 96*log(2)^3 - 32*(4*log(2)^2 - 12*log(2)
- 55)*x - 296*log(2)^2 + 1320*log(2) + 3025) - 9700*x/(x^6 + 8*x^5 + 2*(4*log(2)^2 - 12*log(2) - 119)*x^3 - 16
*x^4 + 16*log(2)^4 + 8*(4*log(2)^2 - 12*log(2) - 23)*x^2 - 96*log(2)^3 - 32*(4*log(2)^2 - 12*log(2) - 55)*x -
296*log(2)^2 + 1320*log(2) + 3025) - 60*x/(x^3 + 4*x^2 + 4*log(2)^2 - 16*x - 12*log(2) - 55) - 3840*log(2)/(x^
6 + 8*x^5 + 2*(4*log(2)^2 - 12*log(2) - 119)*x^3 - 16*x^4 + 16*log(2)^4 + 8*(4*log(2)^2 - 12*log(2) - 23)*x^2
- 96*log(2)^3 - 32*(4*log(2)^2 - 12*log(2) - 55)*x - 296*log(2)^2 + 1320*log(2) + 3025) - 17600/(x^6 + 8*x^5 +
2*(4*log(2)^2 - 12*log(2) - 119)*x^3 - 16*x^4 + 16*log(2)^4 + 8*(4*log(2)^2 - 12*log(2) - 23)*x^2 - 96*log(2)
^3 - 32*(4*log(2)^2 - 12*log(2) - 55)*x - 296*log(2)^2 + 1320*log(2) + 3025) - 320/(x^3 + 4*x^2 + 4*log(2)^2 -
16*x - 12*log(2) - 55) - 1)
________________________________________________________________________________________
mupad [F(-1)] time = 0.00, size = -1, normalized size = -0.03 \begin {gather*} \text {Hanged} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
int(-(exp(-(6065*x + 16*log(2)^4*(x + 1) - 4*log(2)^2*(106*x + 24*x^2 - 10*x^3 - 2*x^4 + 74) - 8*log(2)^3*(12*
x + 12) + 2*log(2)*(852*x + 144*x^2 - 60*x^3 - 12*x^4 + 660) + 2856*x^2 + 58*x^3 - 174*x^4 - 3*x^5 + 9*x^6 + x
^7 + 3025)/(1760*x + 2*log(2)*(192*x - 48*x^2 - 12*x^3 + 660) - 96*log(2)^3 + 16*log(2)^4 - 4*log(2)^2*(32*x -
8*x^2 - 2*x^3 + 74) - 184*x^2 - 238*x^3 - 16*x^4 + 8*x^5 + x^6 + 3025))*(91575*x - 64*log(2)^6*(x - 1) - 16*l
og(2)^4*(9*x^3 - 60*x^2 - 9*x + 3*x^4 + 57) + 8*log(2)^3*(108*x^3 - 720*x^2 - 1188*x + 36*x^4 + 1764) + 2*log(
2)*(30450*x + 50352*x^2 + 9612*x^3 - 2076*x^4 - 282*x^5 + 126*x^6 + 18*x^7 - 54450) + 32*log(2)^5*(18*x - 18)
- 4*log(2)^2*(863*x + 6232*x^2 + 1926*x^3 - 238*x^4 - 47*x^5 + 21*x^6 + 3*x^7 - 3135) + 259580*x^2 + 126599*x^
3 + 21533*x^4 + 3943*x^5 + 2515*x^6 + 625*x^7 + 17*x^8 - 11*x^9 - x^10 - 166375))/(145200*x + 2*log(2)*(31680*
x - 3312*x^2 - 4284*x^3 - 288*x^4 + 144*x^5 + 18*x^6 + 54450) - 4*log(2)^2*(3552*x - 120*x^2 - 606*x^3 - 48*x^
4 + 24*x^5 + 3*x^6 + 3135) + 576*log(2)^5 - 64*log(2)^6 + 16*log(2)^4*(48*x - 12*x^2 - 3*x^3 + 57) - 8*log(2)^
3*(576*x - 144*x^2 - 36*x^3 + 1764) + 5940*x^2 - 26099*x^3 - 5712*x^4 + 1320*x^5 + 485*x^6 - 12*x^8 - x^9 + 16
6375),x)
[Out]
\text{Hanged}
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sympy [F(-1)] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Timed out} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
integrate((64*(-x+1)*ln(2)**6+32*(18*x-18)*ln(2)**5+16*(-3*x**4-9*x**3+60*x**2+9*x-57)*ln(2)**4+8*(36*x**4+108
*x**3-720*x**2-1188*x+1764)*ln(2)**3+4*(-3*x**7-21*x**6+47*x**5+238*x**4-1926*x**3-6232*x**2-863*x+3135)*ln(2)
**2+2*(18*x**7+126*x**6-282*x**5-2076*x**4+9612*x**3+50352*x**2+30450*x-54450)*ln(2)-x**10-11*x**9+17*x**8+625
*x**7+2515*x**6+3943*x**5+21533*x**4+126599*x**3+259580*x**2+91575*x-166375)/(64*ln(2)**6-576*ln(2)**5+16*(3*x
**3+12*x**2-48*x-57)*ln(2)**4+8*(-36*x**3-144*x**2+576*x+1764)*ln(2)**3+4*(3*x**6+24*x**5-48*x**4-606*x**3-120
*x**2+3552*x+3135)*ln(2)**2+2*(-18*x**6-144*x**5+288*x**4+4284*x**3+3312*x**2-31680*x-54450)*ln(2)+x**9+12*x**
8-485*x**6-1320*x**5+5712*x**4+26099*x**3-5940*x**2-145200*x-166375)/exp((16*(x+1)*ln(2)**4+8*(-12*x-12)*ln(2)
**3+4*(2*x**4+10*x**3-24*x**2-106*x-74)*ln(2)**2+2*(-12*x**4-60*x**3+144*x**2+852*x+660)*ln(2)+x**7+9*x**6-3*x
**5-174*x**4+58*x**3+2856*x**2+6065*x+3025)/(16*ln(2)**4-96*ln(2)**3+4*(2*x**3+8*x**2-32*x-74)*ln(2)**2+2*(-12
*x**3-48*x**2+192*x+660)*ln(2)+x**6+8*x**5-16*x**4-238*x**3-184*x**2+1760*x+3025)),x)
[Out]
Timed out
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