Optimal. Leaf size=515 \[ \frac {7 a d^2}{36 x}-\frac {1}{2} b d^2 \log (x)-\frac {5}{12} a d^3 \log (x)-\frac {1}{6} d^2 (3 b+2 a d) \log (x)+\frac {1}{2} b d^2 \log (1-d x)+\frac {5}{12} a d^3 \log (1-d x)+\frac {1}{6} d^2 (3 b+2 a d) \log (1-d x)-\frac {7 a d \log (1-d x)}{36 x^2}-\frac {b d \log (1-d x)}{2 x}-\frac {2 a d^2 \log (1-d x)}{9 x}-\frac {d (3 b+2 a d) \log (1-d x)}{6 x}-\frac {1}{4} b d^2 \log ^2(1-d x)-\frac {1}{9} a d^3 \log ^2(1-d x)+\frac {a \log ^2(1-d x)}{9 x^3}+\frac {b \log ^2(1-d x)}{4 x^2}+\frac {c (1-d x) \log ^2(1-d x)}{x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (d x) \log ^2(1-d x)-2 c d \text {PolyLog}(2,d x)-\frac {1}{2} b d^2 \text {PolyLog}(2,d x)-\frac {2}{9} a d^3 \text {PolyLog}(2,d x)+\frac {a d \text {PolyLog}(2,d x)}{6 x^2}+\frac {d (3 b+2 a d) \text {PolyLog}(2,d x)}{6 x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {PolyLog}(2,d x)-\frac {1}{6} \left (\frac {2 a}{x^3}+\frac {3 b}{x^2}+\frac {6 c}{x}\right ) \log (1-d x) \text {PolyLog}(2,d x)+\frac {1}{3} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {PolyLog}(2,1-d x)-\frac {1}{6} d (6 c+d (3 b+2 a d)) \text {PolyLog}(3,d x)-\frac {1}{3} d (6 c+d (3 b+2 a d)) \text {PolyLog}(3,1-d x) \]
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Rubi [A]
time = 0.53, antiderivative size = 515, normalized size of antiderivative = 1.00, number of steps
used = 43, number of rules used = 20, integrand size = 26, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.769, Rules used = {6874, 6726,
2442, 46, 36, 29, 31, 14, 6741, 2445, 2457, 2438, 2437, 2338, 2444, 6724, 6731, 2443, 2481, 2421}
\begin {gather*} -\frac {1}{6} \text {Li}_2(d x) \log (1-d x) \left (\frac {2 a}{x^3}+\frac {3 b}{x^2}+\frac {6 c}{x}\right )-\frac {1}{6} d \text {Li}_3(d x) (d (2 a d+3 b)+6 c)-\frac {1}{3} d \text {Li}_3(1-d x) (d (2 a d+3 b)+6 c)+\frac {1}{6} d \text {Li}_2(d x) \log (1-d x) (d (2 a d+3 b)+6 c)+\frac {1}{3} d \text {Li}_2(1-d x) \log (1-d x) (d (2 a d+3 b)+6 c)+\frac {1}{6} d \log (d x) \log ^2(1-d x) (d (2 a d+3 b)+6 c)-\frac {1}{6} d^2 \log (x) (2 a d+3 b)+\frac {1}{6} d^2 (2 a d+3 b) \log (1-d x)+\frac {d (2 a d+3 b) \text {Li}_2(d x)}{6 x}-\frac {d (2 a d+3 b) \log (1-d x)}{6 x}-\frac {2}{9} a d^3 \text {Li}_2(d x)-\frac {1}{9} a d^3 \log ^2(1-d x)-\frac {5}{12} a d^3 \log (x)+\frac {5}{12} a d^3 \log (1-d x)+\frac {7 a d^2}{36 x}-\frac {2 a d^2 \log (1-d x)}{9 x}+\frac {a d \text {Li}_2(d x)}{6 x^2}+\frac {a \log ^2(1-d x)}{9 x^3}-\frac {7 a d \log (1-d x)}{36 x^2}-\frac {1}{2} b d^2 \text {Li}_2(d x)-\frac {1}{4} b d^2 \log ^2(1-d x)-\frac {1}{2} b d^2 \log (x)+\frac {1}{2} b d^2 \log (1-d x)+\frac {b \log ^2(1-d x)}{4 x^2}-\frac {b d \log (1-d x)}{2 x}-2 c d \text {Li}_2(d x)+\frac {c (1-d x) \log ^2(1-d x)}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rule 29
Rule 31
Rule 36
Rule 46
Rule 2338
Rule 2421
Rule 2437
Rule 2438
Rule 2442
Rule 2443
Rule 2444
Rule 2445
Rule 2457
Rule 2481
Rule 6724
Rule 6726
Rule 6731
Rule 6741
Rule 6874
Rubi steps
\begin {align*} \int \frac {\left (a+b x+c x^2\right ) \log (1-d x) \text {Li}_2(d x)}{x^4} \, dx &=-\frac {1}{6} \left (\frac {2 a}{x^3}+\frac {3 b}{x^2}+\frac {6 c}{x}\right ) \log (1-d x) \text {Li}_2(d x)+d \int \left (-\frac {a \text {Li}_2(d x)}{3 x^3}+\frac {(-3 b-2 a d) \text {Li}_2(d x)}{6 x^2}+\frac {\left (-6 c-3 b d-2 a d^2\right ) \text {Li}_2(d x)}{6 x}+\frac {d (-6 c-d (3 b+2 a d)) \text {Li}_2(d x)}{6 (1-d x)}\right ) \, dx+\int \left (-\frac {a \log ^2(1-d x)}{3 x^4}-\frac {b \log ^2(1-d x)}{2 x^3}-\frac {c \log ^2(1-d x)}{x^2}\right ) \, dx\\ &=-\frac {1}{6} \left (\frac {2 a}{x^3}+\frac {3 b}{x^2}+\frac {6 c}{x}\right ) \log (1-d x) \text {Li}_2(d x)-\frac {1}{3} a \int \frac {\log ^2(1-d x)}{x^4} \, dx-\frac {1}{2} b \int \frac {\log ^2(1-d x)}{x^3} \, dx-c \int \frac {\log ^2(1-d x)}{x^2} \, dx-\frac {1}{3} (a d) \int \frac {\text {Li}_2(d x)}{x^3} \, dx-\frac {1}{6} (d (3 b+2 a d)) \int \frac {\text {Li}_2(d x)}{x^2} \, dx-\frac {1}{6} (d (6 c+d (3 b+2 a d))) \int \frac {\text {Li}_2(d x)}{x} \, dx-\frac {1}{6} \left (d^2 (6 c+d (3 b+2 a d))\right ) \int \frac {\text {Li}_2(d x)}{1-d x} \, dx\\ &=\frac {a \log ^2(1-d x)}{9 x^3}+\frac {b \log ^2(1-d x)}{4 x^2}+\frac {c (1-d x) \log ^2(1-d x)}{x}+\frac {a d \text {Li}_2(d x)}{6 x^2}+\frac {d (3 b+2 a d) \text {Li}_2(d x)}{6 x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {Li}_2(d x)-\frac {1}{6} \left (\frac {2 a}{x^3}+\frac {3 b}{x^2}+\frac {6 c}{x}\right ) \log (1-d x) \text {Li}_2(d x)-\frac {1}{6} d (6 c+d (3 b+2 a d)) \text {Li}_3(d x)+\frac {1}{6} (a d) \int \frac {\log (1-d x)}{x^3} \, dx+\frac {1}{9} (2 a d) \int \frac {\log (1-d x)}{x^3 (1-d x)} \, dx+\frac {1}{2} (b d) \int \frac {\log (1-d x)}{x^2 (1-d x)} \, dx+(2 c d) \int \frac {\log (1-d x)}{x} \, dx+\frac {1}{6} (d (3 b+2 a d)) \int \frac {\log (1-d x)}{x^2} \, dx+\frac {1}{6} (d (6 c+d (3 b+2 a d))) \int \frac {\log ^2(1-d x)}{x} \, dx\\ &=-\frac {a d \log (1-d x)}{12 x^2}-\frac {d (3 b+2 a d) \log (1-d x)}{6 x}+\frac {a \log ^2(1-d x)}{9 x^3}+\frac {b \log ^2(1-d x)}{4 x^2}+\frac {c (1-d x) \log ^2(1-d x)}{x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (d x) \log ^2(1-d x)-2 c d \text {Li}_2(d x)+\frac {a d \text {Li}_2(d x)}{6 x^2}+\frac {d (3 b+2 a d) \text {Li}_2(d x)}{6 x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {Li}_2(d x)-\frac {1}{6} \left (\frac {2 a}{x^3}+\frac {3 b}{x^2}+\frac {6 c}{x}\right ) \log (1-d x) \text {Li}_2(d x)-\frac {1}{6} d (6 c+d (3 b+2 a d)) \text {Li}_3(d x)+\frac {1}{9} (2 a d) \int \left (\frac {\log (1-d x)}{x^3}+\frac {d \log (1-d x)}{x^2}+\frac {d^2 \log (1-d x)}{x}-\frac {d^3 \log (1-d x)}{-1+d x}\right ) \, dx+\frac {1}{2} (b d) \int \left (\frac {\log (1-d x)}{x^2}+\frac {d \log (1-d x)}{x}-\frac {d^2 \log (1-d x)}{-1+d x}\right ) \, dx-\frac {1}{12} \left (a d^2\right ) \int \frac {1}{x^2 (1-d x)} \, dx-\frac {1}{6} \left (d^2 (3 b+2 a d)\right ) \int \frac {1}{x (1-d x)} \, dx+\frac {1}{3} \left (d^2 (6 c+d (3 b+2 a d))\right ) \int \frac {\log (d x) \log (1-d x)}{1-d x} \, dx\\ &=-\frac {a d \log (1-d x)}{12 x^2}-\frac {d (3 b+2 a d) \log (1-d x)}{6 x}+\frac {a \log ^2(1-d x)}{9 x^3}+\frac {b \log ^2(1-d x)}{4 x^2}+\frac {c (1-d x) \log ^2(1-d x)}{x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (d x) \log ^2(1-d x)-2 c d \text {Li}_2(d x)+\frac {a d \text {Li}_2(d x)}{6 x^2}+\frac {d (3 b+2 a d) \text {Li}_2(d x)}{6 x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {Li}_2(d x)-\frac {1}{6} \left (\frac {2 a}{x^3}+\frac {3 b}{x^2}+\frac {6 c}{x}\right ) \log (1-d x) \text {Li}_2(d x)-\frac {1}{6} d (6 c+d (3 b+2 a d)) \text {Li}_3(d x)+\frac {1}{9} (2 a d) \int \frac {\log (1-d x)}{x^3} \, dx+\frac {1}{2} (b d) \int \frac {\log (1-d x)}{x^2} \, dx-\frac {1}{12} \left (a d^2\right ) \int \left (\frac {1}{x^2}+\frac {d}{x}-\frac {d^2}{-1+d x}\right ) \, dx+\frac {1}{9} \left (2 a d^2\right ) \int \frac {\log (1-d x)}{x^2} \, dx+\frac {1}{2} \left (b d^2\right ) \int \frac {\log (1-d x)}{x} \, dx+\frac {1}{9} \left (2 a d^3\right ) \int \frac {\log (1-d x)}{x} \, dx-\frac {1}{2} \left (b d^3\right ) \int \frac {\log (1-d x)}{-1+d x} \, dx-\frac {1}{9} \left (2 a d^4\right ) \int \frac {\log (1-d x)}{-1+d x} \, dx-\frac {1}{6} \left (d^2 (3 b+2 a d)\right ) \int \frac {1}{x} \, dx-\frac {1}{6} \left (d^3 (3 b+2 a d)\right ) \int \frac {1}{1-d x} \, dx-\frac {1}{3} (d (6 c+d (3 b+2 a d))) \text {Subst}\left (\int \frac {\log (x) \log \left (d \left (\frac {1}{d}-\frac {x}{d}\right )\right )}{x} \, dx,x,1-d x\right )\\ &=\frac {a d^2}{12 x}-\frac {1}{12} a d^3 \log (x)-\frac {1}{6} d^2 (3 b+2 a d) \log (x)+\frac {1}{12} a d^3 \log (1-d x)+\frac {1}{6} d^2 (3 b+2 a d) \log (1-d x)-\frac {7 a d \log (1-d x)}{36 x^2}-\frac {b d \log (1-d x)}{2 x}-\frac {2 a d^2 \log (1-d x)}{9 x}-\frac {d (3 b+2 a d) \log (1-d x)}{6 x}+\frac {a \log ^2(1-d x)}{9 x^3}+\frac {b \log ^2(1-d x)}{4 x^2}+\frac {c (1-d x) \log ^2(1-d x)}{x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (d x) \log ^2(1-d x)-2 c d \text {Li}_2(d x)-\frac {1}{2} b d^2 \text {Li}_2(d x)-\frac {2}{9} a d^3 \text {Li}_2(d x)+\frac {a d \text {Li}_2(d x)}{6 x^2}+\frac {d (3 b+2 a d) \text {Li}_2(d x)}{6 x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {Li}_2(d x)-\frac {1}{6} \left (\frac {2 a}{x^3}+\frac {3 b}{x^2}+\frac {6 c}{x}\right ) \log (1-d x) \text {Li}_2(d x)+\frac {1}{3} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {Li}_2(1-d x)-\frac {1}{6} d (6 c+d (3 b+2 a d)) \text {Li}_3(d x)-\frac {1}{9} \left (a d^2\right ) \int \frac {1}{x^2 (1-d x)} \, dx-\frac {1}{2} \left (b d^2\right ) \int \frac {1}{x (1-d x)} \, dx-\frac {1}{2} \left (b d^2\right ) \text {Subst}\left (\int \frac {\log (x)}{x} \, dx,x,1-d x\right )-\frac {1}{9} \left (2 a d^3\right ) \int \frac {1}{x (1-d x)} \, dx-\frac {1}{9} \left (2 a d^3\right ) \text {Subst}\left (\int \frac {\log (x)}{x} \, dx,x,1-d x\right )-\frac {1}{3} (d (6 c+d (3 b+2 a d))) \text {Subst}\left (\int \frac {\text {Li}_2(x)}{x} \, dx,x,1-d x\right )\\ &=\frac {a d^2}{12 x}-\frac {1}{12} a d^3 \log (x)-\frac {1}{6} d^2 (3 b+2 a d) \log (x)+\frac {1}{12} a d^3 \log (1-d x)+\frac {1}{6} d^2 (3 b+2 a d) \log (1-d x)-\frac {7 a d \log (1-d x)}{36 x^2}-\frac {b d \log (1-d x)}{2 x}-\frac {2 a d^2 \log (1-d x)}{9 x}-\frac {d (3 b+2 a d) \log (1-d x)}{6 x}-\frac {1}{4} b d^2 \log ^2(1-d x)-\frac {1}{9} a d^3 \log ^2(1-d x)+\frac {a \log ^2(1-d x)}{9 x^3}+\frac {b \log ^2(1-d x)}{4 x^2}+\frac {c (1-d x) \log ^2(1-d x)}{x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (d x) \log ^2(1-d x)-2 c d \text {Li}_2(d x)-\frac {1}{2} b d^2 \text {Li}_2(d x)-\frac {2}{9} a d^3 \text {Li}_2(d x)+\frac {a d \text {Li}_2(d x)}{6 x^2}+\frac {d (3 b+2 a d) \text {Li}_2(d x)}{6 x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {Li}_2(d x)-\frac {1}{6} \left (\frac {2 a}{x^3}+\frac {3 b}{x^2}+\frac {6 c}{x}\right ) \log (1-d x) \text {Li}_2(d x)+\frac {1}{3} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {Li}_2(1-d x)-\frac {1}{6} d (6 c+d (3 b+2 a d)) \text {Li}_3(d x)-\frac {1}{3} d (6 c+d (3 b+2 a d)) \text {Li}_3(1-d x)-\frac {1}{9} \left (a d^2\right ) \int \left (\frac {1}{x^2}+\frac {d}{x}-\frac {d^2}{-1+d x}\right ) \, dx-\frac {1}{2} \left (b d^2\right ) \int \frac {1}{x} \, dx-\frac {1}{9} \left (2 a d^3\right ) \int \frac {1}{x} \, dx-\frac {1}{2} \left (b d^3\right ) \int \frac {1}{1-d x} \, dx-\frac {1}{9} \left (2 a d^4\right ) \int \frac {1}{1-d x} \, dx\\ &=\frac {7 a d^2}{36 x}-\frac {1}{2} b d^2 \log (x)-\frac {5}{12} a d^3 \log (x)-\frac {1}{6} d^2 (3 b+2 a d) \log (x)+\frac {1}{2} b d^2 \log (1-d x)+\frac {5}{12} a d^3 \log (1-d x)+\frac {1}{6} d^2 (3 b+2 a d) \log (1-d x)-\frac {7 a d \log (1-d x)}{36 x^2}-\frac {b d \log (1-d x)}{2 x}-\frac {2 a d^2 \log (1-d x)}{9 x}-\frac {d (3 b+2 a d) \log (1-d x)}{6 x}-\frac {1}{4} b d^2 \log ^2(1-d x)-\frac {1}{9} a d^3 \log ^2(1-d x)+\frac {a \log ^2(1-d x)}{9 x^3}+\frac {b \log ^2(1-d x)}{4 x^2}+\frac {c (1-d x) \log ^2(1-d x)}{x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (d x) \log ^2(1-d x)-2 c d \text {Li}_2(d x)-\frac {1}{2} b d^2 \text {Li}_2(d x)-\frac {2}{9} a d^3 \text {Li}_2(d x)+\frac {a d \text {Li}_2(d x)}{6 x^2}+\frac {d (3 b+2 a d) \text {Li}_2(d x)}{6 x}+\frac {1}{6} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {Li}_2(d x)-\frac {1}{6} \left (\frac {2 a}{x^3}+\frac {3 b}{x^2}+\frac {6 c}{x}\right ) \log (1-d x) \text {Li}_2(d x)+\frac {1}{3} d (6 c+d (3 b+2 a d)) \log (1-d x) \text {Li}_2(1-d x)-\frac {1}{6} d (6 c+d (3 b+2 a d)) \text {Li}_3(d x)-\frac {1}{3} d (6 c+d (3 b+2 a d)) \text {Li}_3(1-d x)\\ \end {align*}
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Mathematica [A]
time = 1.21, size = 488, normalized size = 0.95 \begin {gather*} \frac {1}{36} \left (-7 a d^3+\frac {7 a d^2}{x}-36 b d^2 \log (d x)-27 a d^3 \log (d x)+36 b d^2 \log (1-d x)+27 a d^3 \log (1-d x)-\frac {7 a d \log (1-d x)}{x^2}-\frac {36 b d \log (1-d x)}{x}-\frac {20 a d^2 \log (1-d x)}{x}+72 c d \log (d x) \log (1-d x)+18 b d^2 \log (d x) \log (1-d x)+8 a d^3 \log (d x) \log (1-d x)-36 c d \log ^2(1-d x)-9 b d^2 \log ^2(1-d x)-4 a d^3 \log ^2(1-d x)+\frac {4 a \log ^2(1-d x)}{x^3}+\frac {9 b \log ^2(1-d x)}{x^2}+\frac {36 c \log ^2(1-d x)}{x}+36 c d \log (d x) \log ^2(1-d x)+18 b d^2 \log (d x) \log ^2(1-d x)+12 a d^3 \log (d x) \log ^2(1-d x)+\frac {6 \left (d x (a+3 b x+2 a d x)+(-1+d x) \left (3 x (b+2 c x+b d x)+2 a \left (1+d x+d^2 x^2\right )\right ) \log (1-d x)\right ) \text {PolyLog}(2,d x)}{x^3}+2 d \left (36 c+9 b d+4 a d^2+6 \left (6 c+3 b d+2 a d^2\right ) \log (1-d x)\right ) \text {PolyLog}(2,1-d x)-36 c d \text {PolyLog}(3,d x)-18 b d^2 \text {PolyLog}(3,d x)-12 a d^3 \text {PolyLog}(3,d x)-72 c d \text {PolyLog}(3,1-d x)-36 b d^2 \text {PolyLog}(3,1-d x)-24 a d^3 \text {PolyLog}(3,1-d x)\right ) \end {gather*}
Antiderivative was successfully verified.
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Maple [F]
time = 0.04, size = 0, normalized size = 0.00 \[\int \frac {\left (c \,x^{2}+b x +a \right ) \ln \left (-d x +1\right ) \polylog \left (2, d x \right )}{x^{4}}\, dx\]
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.32, size = 319, normalized size = 0.62 \begin {gather*} \frac {1}{6} \, {\left (2 \, a d^{3} + 3 \, b d^{2} + 6 \, c d\right )} {\left (\log \left (d x\right ) \log \left (-d x + 1\right )^{2} + 2 \, {\rm Li}_2\left (-d x + 1\right ) \log \left (-d x + 1\right ) - 2 \, {\rm Li}_{3}(-d x + 1)\right )} + \frac {1}{18} \, {\left (4 \, a d^{3} + 9 \, b d^{2} + 36 \, c d\right )} {\left (\log \left (d x\right ) \log \left (-d x + 1\right ) + {\rm Li}_2\left (-d x + 1\right )\right )} - \frac {1}{4} \, {\left (3 \, a d^{3} + 4 \, b d^{2}\right )} \log \left (x\right ) - \frac {1}{6} \, {\left (2 \, a d^{3} + 3 \, b d^{2} + 6 \, c d\right )} {\rm Li}_{3}(d x) + \frac {7 \, a d^{2} x^{2} - {\left ({\left (4 \, a d^{3} + 9 \, b d^{2} + 36 \, c d\right )} x^{3} - 36 \, c x^{2} - 9 \, b x - 4 \, a\right )} \log \left (-d x + 1\right )^{2} + 6 \, {\left (a d x + {\left (2 \, a d^{2} + 3 \, b d\right )} x^{2} + {\left ({\left (2 \, a d^{3} + 3 \, b d^{2} + 6 \, c d\right )} x^{3} - 6 \, c x^{2} - 3 \, b x - 2 \, a\right )} \log \left (-d x + 1\right )\right )} {\rm Li}_2\left (d x\right ) + {\left (9 \, {\left (3 \, a d^{3} + 4 \, b d^{2}\right )} x^{3} - 7 \, a d x - 4 \, {\left (5 \, a d^{2} + 9 \, b d\right )} x^{2}\right )} \log \left (-d x + 1\right )}{36 \, x^{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [F]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [F(-1)] Timed out
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.
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Giac [F]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {could not integrate} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [F]
time = 0.00, size = -1, normalized size = -0.00 \begin {gather*} \int \frac {\ln \left (1-d\,x\right )\,\mathrm {polylog}\left (2,d\,x\right )\,\left (c\,x^2+b\,x+a\right )}{x^4} \,d x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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